KILLED proof of input_fFUjWy369C.trs # AProVE Commit ID: aff8ecad908e01718a4c36e68d2e55d5e0f16e15 fuhs 20220216 unpublished The Runtime Complexity (parallel-innermost) of the given CpxTRS could be proven to be BOUNDS(1, INF). (0) CpxTRS (1) RenamingProof [BOTH BOUNDS(ID, ID), 0 ms] (2) CpxTRS (3) RelTrsToTrsProof [UPPER BOUND(ID), 0 ms] (4) CpxTRS (5) RelTrsToWeightedTrsProof [UPPER BOUND(ID), 0 ms] (6) CpxWeightedTrs (7) TypeInferenceProof [BOTH BOUNDS(ID, ID), 0 ms] (8) CpxTypedWeightedTrs (9) CompletionProof [UPPER BOUND(ID), 0 ms] (10) CpxTypedWeightedCompleteTrs (11) NarrowingProof [BOTH BOUNDS(ID, ID), 0 ms] (12) CpxTypedWeightedCompleteTrs (13) CpxTypedWeightedTrsToRntsProof [UPPER BOUND(ID), 0 ms] (14) CpxRNTS (15) InliningProof [UPPER BOUND(ID), 877 ms] (16) CpxRNTS (17) SimplificationProof [BOTH BOUNDS(ID, ID), 0 ms] (18) CpxRNTS (19) CpxRntsAnalysisOrderProof [BOTH BOUNDS(ID, ID), 0 ms] (20) CpxRNTS (21) ResultPropagationProof [UPPER BOUND(ID), 0 ms] (22) CpxRNTS (23) IntTrsBoundProof [UPPER BOUND(ID), 166 ms] (24) CpxRNTS (25) IntTrsBoundProof [UPPER BOUND(ID), 57 ms] (26) CpxRNTS (27) ResultPropagationProof [UPPER BOUND(ID), 0 ms] (28) CpxRNTS (29) IntTrsBoundProof [UPPER BOUND(ID), 101 ms] (30) CpxRNTS (31) IntTrsBoundProof [UPPER BOUND(ID), 54 ms] (32) CpxRNTS (33) ResultPropagationProof [UPPER BOUND(ID), 0 ms] (34) CpxRNTS (35) IntTrsBoundProof [UPPER BOUND(ID), 200 ms] (36) CpxRNTS (37) IntTrsBoundProof [UPPER BOUND(ID), 15 ms] (38) CpxRNTS (39) ResultPropagationProof [UPPER BOUND(ID), 0 ms] (40) CpxRNTS (41) IntTrsBoundProof [UPPER BOUND(ID), 139 ms] (42) CpxRNTS (43) IntTrsBoundProof [UPPER BOUND(ID), 53 ms] (44) CpxRNTS (45) ResultPropagationProof [UPPER BOUND(ID), 0 ms] (46) CpxRNTS (47) IntTrsBoundProof [UPPER BOUND(ID), 11.3 s] (48) CpxRNTS (49) IntTrsBoundProof [UPPER BOUND(ID), 2875 ms] (50) CpxRNTS (51) CompletionProof [UPPER BOUND(ID), 0 ms] (52) CpxTypedWeightedCompleteTrs (53) CpxTypedWeightedTrsToRntsProof [UPPER BOUND(ID), 0 ms] (54) CpxRNTS (55) CpxTrsToCdtProof [UPPER BOUND(ID), 0 ms] (56) CdtProblem (57) CdtLeafRemovalProof [ComplexityIfPolyImplication, 0 ms] (58) CdtProblem (59) CdtRhsSimplificationProcessorProof [BOTH BOUNDS(ID, ID), 0 ms] (60) CdtProblem (61) CdtUsableRulesProof [BOTH BOUNDS(ID, ID), 0 ms] (62) CdtProblem (63) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 0 ms] (64) CdtProblem (65) CdtRhsSimplificationProcessorProof [BOTH BOUNDS(ID, ID), 0 ms] (66) CdtProblem (67) CdtRuleRemovalProof [UPPER BOUND(ADD(n^1)), 122 ms] (68) CdtProblem (69) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 0 ms] (70) CdtProblem (71) CdtLeafRemovalProof [BOTH BOUNDS(ID, ID), 0 ms] (72) CdtProblem (73) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 0 ms] (74) CdtProblem (75) CdtLeafRemovalProof [BOTH BOUNDS(ID, ID), 0 ms] (76) CdtProblem (77) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 0 ms] (78) CdtProblem (79) CdtLeafRemovalProof [BOTH BOUNDS(ID, ID), 0 ms] (80) CdtProblem (81) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 0 ms] (82) CdtProblem (83) CdtLeafRemovalProof [BOTH BOUNDS(ID, ID), 0 ms] (84) CdtProblem (85) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 0 ms] (86) CdtProblem (87) CdtLeafRemovalProof [BOTH BOUNDS(ID, ID), 0 ms] (88) CdtProblem (89) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 0 ms] (90) CdtProblem (91) CdtLeafRemovalProof [BOTH BOUNDS(ID, ID), 0 ms] (92) CdtProblem (93) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 6 ms] (94) CdtProblem (95) CdtRhsSimplificationProcessorProof [BOTH BOUNDS(ID, ID), 0 ms] (96) CdtProblem (97) CdtRuleRemovalProof [UPPER BOUND(ADD(n^1)), 311 ms] (98) CdtProblem (99) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 6 ms] (100) CdtProblem (101) CdtRhsSimplificationProcessorProof [BOTH BOUNDS(ID, ID), 0 ms] (102) CdtProblem (103) CdtKnowledgeProof [BOTH BOUNDS(ID, ID), 0 ms] (104) CdtProblem (105) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 0 ms] (106) CdtProblem (107) CdtRhsSimplificationProcessorProof [BOTH BOUNDS(ID, ID), 0 ms] (108) CdtProblem (109) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 0 ms] (110) CdtProblem (111) CdtRhsSimplificationProcessorProof [BOTH BOUNDS(ID, ID), 0 ms] (112) CdtProblem (113) CdtKnowledgeProof [BOTH BOUNDS(ID, ID), 0 ms] (114) CdtProblem (115) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 0 ms] (116) CdtProblem (117) CdtRhsSimplificationProcessorProof [BOTH BOUNDS(ID, ID), 0 ms] (118) CdtProblem (119) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 0 ms] (120) CdtProblem (121) CdtRhsSimplificationProcessorProof [BOTH BOUNDS(ID, ID), 0 ms] (122) CdtProblem (123) CdtKnowledgeProof [BOTH BOUNDS(ID, ID), 0 ms] (124) CdtProblem (125) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 0 ms] (126) CdtProblem (127) CdtRhsSimplificationProcessorProof [BOTH BOUNDS(ID, ID), 0 ms] (128) CdtProblem (129) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 0 ms] (130) CdtProblem (131) CdtRhsSimplificationProcessorProof [BOTH BOUNDS(ID, ID), 0 ms] (132) CdtProblem (133) CdtKnowledgeProof [BOTH BOUNDS(ID, ID), 0 ms] (134) CdtProblem (135) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 0 ms] (136) CdtProblem (137) CdtRhsSimplificationProcessorProof [BOTH BOUNDS(ID, ID), 1 ms] (138) CdtProblem (139) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 0 ms] (140) CdtProblem (141) CdtRhsSimplificationProcessorProof [BOTH BOUNDS(ID, ID), 0 ms] (142) CdtProblem (143) CdtKnowledgeProof [BOTH BOUNDS(ID, ID), 0 ms] (144) CdtProblem (145) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 2 ms] (146) CdtProblem (147) CdtRhsSimplificationProcessorProof [BOTH BOUNDS(ID, ID), 0 ms] (148) CdtProblem (149) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 0 ms] (150) CdtProblem (151) CdtRhsSimplificationProcessorProof [BOTH BOUNDS(ID, ID), 0 ms] (152) CdtProblem (153) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 0 ms] (154) CdtProblem (155) CdtLeafRemovalProof [BOTH BOUNDS(ID, ID), 0 ms] (156) CdtProblem (157) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 0 ms] (158) CdtProblem (159) CdtLeafRemovalProof [BOTH BOUNDS(ID, ID), 0 ms] (160) CdtProblem (161) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 0 ms] (162) CdtProblem (163) CdtLeafRemovalProof [BOTH BOUNDS(ID, ID), 0 ms] (164) CdtProblem (165) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 0 ms] (166) CdtProblem (167) CdtLeafRemovalProof [BOTH BOUNDS(ID, ID), 0 ms] (168) CdtProblem (169) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 0 ms] (170) CdtProblem (171) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 0 ms] (172) CdtProblem (173) CdtLeafRemovalProof [BOTH BOUNDS(ID, ID), 0 ms] (174) CdtProblem (175) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 0 ms] (176) CdtProblem (177) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 0 ms] (178) CdtProblem (179) CdtLeafRemovalProof [BOTH BOUNDS(ID, ID), 0 ms] (180) CdtProblem (181) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 0 ms] (182) CdtProblem (183) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 0 ms] (184) CdtProblem (185) CdtLeafRemovalProof [BOTH BOUNDS(ID, ID), 0 ms] (186) CdtProblem (187) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 0 ms] (188) CdtProblem (189) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 5 ms] (190) CdtProblem (191) CdtLeafRemovalProof [BOTH BOUNDS(ID, ID), 0 ms] (192) CdtProblem (193) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 0 ms] (194) CdtProblem (195) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 0 ms] (196) CdtProblem (197) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 0 ms] (198) CdtProblem (199) CdtLeafRemovalProof [BOTH BOUNDS(ID, ID), 0 ms] (200) CdtProblem (201) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 0 ms] (202) CdtProblem (203) CdtLeafRemovalProof [BOTH BOUNDS(ID, ID), 0 ms] (204) CdtProblem (205) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 0 ms] (206) CdtProblem (207) CdtLeafRemovalProof [BOTH BOUNDS(ID, ID), 0 ms] (208) CdtProblem (209) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 0 ms] (210) CdtProblem (211) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 6 ms] (212) CdtProblem (213) CdtLeafRemovalProof [BOTH BOUNDS(ID, ID), 0 ms] (214) CdtProblem (215) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 0 ms] (216) CdtProblem (217) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 0 ms] (218) CdtProblem (219) CdtLeafRemovalProof [BOTH BOUNDS(ID, ID), 0 ms] (220) CdtProblem (221) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 0 ms] (222) CdtProblem (223) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 13 ms] (224) CdtProblem (225) CdtLeafRemovalProof [BOTH BOUNDS(ID, ID), 0 ms] (226) CdtProblem (227) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 0 ms] (228) CdtProblem (229) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 0 ms] (230) CdtProblem (231) CdtLeafRemovalProof [BOTH BOUNDS(ID, ID), 0 ms] (232) CdtProblem (233) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 0 ms] (234) CdtProblem (235) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 0 ms] (236) CdtProblem (237) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 0 ms] (238) CdtProblem (239) CdtLeafRemovalProof [BOTH BOUNDS(ID, ID), 0 ms] (240) 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: isEmpty(empty) -> true isEmpty(node(l, r)) -> false left(empty) -> empty left(node(l, r)) -> l right(empty) -> empty right(node(l, r)) -> r inc(0) -> s(0) inc(s(x)) -> s(inc(x)) count(n, x) -> if(isEmpty(n), isEmpty(left(n)), right(n), node(left(left(n)), node(right(left(n)), right(n))), x, inc(x)) if(true, b, n, m, x, y) -> x if(false, false, n, m, x, y) -> count(m, x) if(false, true, n, m, x, y) -> count(n, y) nrOfNodes(n) -> count(n, 0) 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: isEmpty(empty) -> true isEmpty(node(l, r)) -> false left(empty) -> empty left(node(l, r)) -> l right(empty) -> empty right(node(l, r)) -> r inc(0') -> s(0') inc(s(x)) -> s(inc(x)) count(n, x) -> if(isEmpty(n), isEmpty(left(n)), right(n), node(left(left(n)), node(right(left(n)), right(n))), x, inc(x)) if(true, b, n, m, x, y) -> x if(false, false, n, m, x, y) -> count(m, x) if(false, true, n, m, x, y) -> count(n, y) nrOfNodes(n) -> count(n, 0') 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: isEmpty(empty) -> true isEmpty(node(l, r)) -> false left(empty) -> empty left(node(l, r)) -> l right(empty) -> empty right(node(l, r)) -> r inc(0) -> s(0) inc(s(x)) -> s(inc(x)) count(n, x) -> if(isEmpty(n), isEmpty(left(n)), right(n), node(left(left(n)), node(right(left(n)), right(n))), x, inc(x)) if(true, b, n, m, x, y) -> x if(false, false, n, m, x, y) -> count(m, x) if(false, true, n, m, x, y) -> count(n, y) nrOfNodes(n) -> count(n, 0) 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: isEmpty(empty) -> true [1] isEmpty(node(l, r)) -> false [1] left(empty) -> empty [1] left(node(l, r)) -> l [1] right(empty) -> empty [1] right(node(l, r)) -> r [1] inc(0) -> s(0) [1] inc(s(x)) -> s(inc(x)) [1] count(n, x) -> if(isEmpty(n), isEmpty(left(n)), right(n), node(left(left(n)), node(right(left(n)), right(n))), x, inc(x)) [1] if(true, b, n, m, x, y) -> x [1] if(false, false, n, m, x, y) -> count(m, x) [1] if(false, true, n, m, x, y) -> count(n, y) [1] nrOfNodes(n) -> count(n, 0) [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: isEmpty(empty) -> true [1] isEmpty(node(l, r)) -> false [1] left(empty) -> empty [1] left(node(l, r)) -> l [1] right(empty) -> empty [1] right(node(l, r)) -> r [1] inc(0) -> s(0) [1] inc(s(x)) -> s(inc(x)) [1] count(n, x) -> if(isEmpty(n), isEmpty(left(n)), right(n), node(left(left(n)), node(right(left(n)), right(n))), x, inc(x)) [1] if(true, b, n, m, x, y) -> x [1] if(false, false, n, m, x, y) -> count(m, x) [1] if(false, true, n, m, x, y) -> count(n, y) [1] nrOfNodes(n) -> count(n, 0) [1] The TRS has the following type information: isEmpty :: empty:node -> true:false empty :: empty:node true :: true:false node :: empty:node -> empty:node -> empty:node false :: true:false left :: empty:node -> empty:node right :: empty:node -> empty:node inc :: 0:s -> 0:s 0 :: 0:s s :: 0:s -> 0:s count :: empty:node -> 0:s -> 0:s if :: true:false -> true:false -> empty:node -> empty:node -> 0:s -> 0:s -> 0:s nrOfNodes :: empty:node -> 0:s 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: count_2 if_6 nrOfNodes_1 (c) The following functions are completely defined: isEmpty_1 left_1 right_1 inc_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: isEmpty(empty) -> true [1] isEmpty(node(l, r)) -> false [1] left(empty) -> empty [1] left(node(l, r)) -> l [1] right(empty) -> empty [1] right(node(l, r)) -> r [1] inc(0) -> s(0) [1] inc(s(x)) -> s(inc(x)) [1] count(n, x) -> if(isEmpty(n), isEmpty(left(n)), right(n), node(left(left(n)), node(right(left(n)), right(n))), x, inc(x)) [1] if(true, b, n, m, x, y) -> x [1] if(false, false, n, m, x, y) -> count(m, x) [1] if(false, true, n, m, x, y) -> count(n, y) [1] nrOfNodes(n) -> count(n, 0) [1] The TRS has the following type information: isEmpty :: empty:node -> true:false empty :: empty:node true :: true:false node :: empty:node -> empty:node -> empty:node false :: true:false left :: empty:node -> empty:node right :: empty:node -> empty:node inc :: 0:s -> 0:s 0 :: 0:s s :: 0:s -> 0:s count :: empty:node -> 0:s -> 0:s if :: true:false -> true:false -> empty:node -> empty:node -> 0:s -> 0:s -> 0:s nrOfNodes :: empty:node -> 0:s 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: isEmpty(empty) -> true [1] isEmpty(node(l, r)) -> false [1] left(empty) -> empty [1] left(node(l, r)) -> l [1] right(empty) -> empty [1] right(node(l, r)) -> r [1] inc(0) -> s(0) [1] inc(s(x)) -> s(inc(x)) [1] count(empty, 0) -> if(true, isEmpty(empty), empty, node(left(empty), node(right(empty), empty)), 0, s(0)) [8] count(empty, s(x')) -> if(true, isEmpty(empty), empty, node(left(empty), node(right(empty), empty)), s(x'), s(inc(x'))) [8] count(node(l', r'), 0) -> if(false, isEmpty(l'), r', node(left(l'), node(right(l'), r')), 0, s(0)) [8] count(node(l', r'), s(x'')) -> if(false, isEmpty(l'), r', node(left(l'), node(right(l'), r')), s(x''), s(inc(x''))) [8] if(true, b, n, m, x, y) -> x [1] if(false, false, n, m, x, y) -> count(m, x) [1] if(false, true, n, m, x, y) -> count(n, y) [1] nrOfNodes(n) -> count(n, 0) [1] The TRS has the following type information: isEmpty :: empty:node -> true:false empty :: empty:node true :: true:false node :: empty:node -> empty:node -> empty:node false :: true:false left :: empty:node -> empty:node right :: empty:node -> empty:node inc :: 0:s -> 0:s 0 :: 0:s s :: 0:s -> 0:s count :: empty:node -> 0:s -> 0:s if :: true:false -> true:false -> empty:node -> empty:node -> 0:s -> 0:s -> 0:s nrOfNodes :: empty:node -> 0:s 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: empty => 0 true => 1 false => 0 0 => 0 ---------------------------------------- (14) Obligation: Complexity RNTS consisting of the following rules: count(z, z') -{ 8 }-> if(1, isEmpty(0), 0, 1 + left(0) + (1 + right(0) + 0), 0, 1 + 0) :|: z = 0, z' = 0 count(z, z') -{ 8 }-> if(1, isEmpty(0), 0, 1 + left(0) + (1 + right(0) + 0), 1 + x', 1 + inc(x')) :|: z' = 1 + x', x' >= 0, z = 0 count(z, z') -{ 8 }-> if(0, isEmpty(l'), r', 1 + left(l') + (1 + right(l') + r'), 0, 1 + 0) :|: z = 1 + l' + r', l' >= 0, r' >= 0, z' = 0 count(z, z') -{ 8 }-> if(0, isEmpty(l'), r', 1 + left(l') + (1 + right(l') + r'), 1 + x'', 1 + inc(x'')) :|: z = 1 + l' + r', z' = 1 + x'', l' >= 0, r' >= 0, x'' >= 0 if(z, z', z'', z1, z2, z3) -{ 1 }-> x :|: b >= 0, n >= 0, z2 = x, z'' = n, z = 1, z1 = m, z3 = y, x >= 0, y >= 0, z' = b, m >= 0 if(z, z', z'', z1, z2, z3) -{ 1 }-> count(m, x) :|: n >= 0, z2 = x, z'' = n, z1 = m, z3 = y, x >= 0, y >= 0, z = 0, z' = 0, m >= 0 if(z, z', z'', z1, z2, z3) -{ 1 }-> count(n, y) :|: n >= 0, z2 = x, z'' = n, z1 = m, z3 = y, x >= 0, y >= 0, z' = 1, z = 0, m >= 0 inc(z) -{ 1 }-> 1 + inc(x) :|: x >= 0, z = 1 + x inc(z) -{ 1 }-> 1 + 0 :|: z = 0 isEmpty(z) -{ 1 }-> 1 :|: z = 0 isEmpty(z) -{ 1 }-> 0 :|: r >= 0, z = 1 + l + r, l >= 0 left(z) -{ 1 }-> l :|: r >= 0, z = 1 + l + r, l >= 0 left(z) -{ 1 }-> 0 :|: z = 0 nrOfNodes(z) -{ 1 }-> count(n, 0) :|: n >= 0, z = n right(z) -{ 1 }-> r :|: r >= 0, z = 1 + l + r, l >= 0 right(z) -{ 1 }-> 0 :|: z = 0 ---------------------------------------- (15) InliningProof (UPPER BOUND(ID)) Inlined the following terminating rules on right-hand sides where appropriate: isEmpty(z) -{ 1 }-> 1 :|: z = 0 isEmpty(z) -{ 1 }-> 0 :|: r >= 0, z = 1 + l + r, l >= 0 left(z) -{ 1 }-> l :|: r >= 0, z = 1 + l + r, l >= 0 left(z) -{ 1 }-> 0 :|: z = 0 right(z) -{ 1 }-> 0 :|: z = 0 right(z) -{ 1 }-> r :|: r >= 0, z = 1 + l + r, l >= 0 ---------------------------------------- (16) Obligation: Complexity RNTS consisting of the following rules: count(z, z') -{ 11 }-> if(1, 1, 0, 1 + 0 + (1 + 0 + 0), 0, 1 + 0) :|: z = 0, z' = 0, 0 = 0 count(z, z') -{ 11 }-> if(1, 1, 0, 1 + 0 + (1 + 0 + 0), 1 + x', 1 + inc(x')) :|: z' = 1 + x', x' >= 0, z = 0, 0 = 0 count(z, z') -{ 11 }-> if(0, 1, r', 1 + 0 + (1 + 0 + r'), 0, 1 + 0) :|: z = 1 + l' + r', l' >= 0, r' >= 0, z' = 0, l' = 0 count(z, z') -{ 11 }-> if(0, 1, r', 1 + 0 + (1 + 0 + r'), 1 + x'', 1 + inc(x'')) :|: z = 1 + l' + r', z' = 1 + x'', l' >= 0, r' >= 0, x'' >= 0, l' = 0 count(z, z') -{ 11 }-> if(0, 0, r', 1 + l'' + (1 + r1 + r'), 0, 1 + 0) :|: z = 1 + l' + r', l' >= 0, r' >= 0, z' = 0, r >= 0, l' = 1 + l + r, l >= 0, r'' >= 0, l' = 1 + l'' + r'', l'' >= 0, r1 >= 0, l' = 1 + l1 + r1, l1 >= 0 count(z, z') -{ 11 }-> if(0, 0, r', 1 + l'' + (1 + r1 + r'), 1 + x'', 1 + inc(x'')) :|: z = 1 + l' + r', z' = 1 + x'', l' >= 0, r' >= 0, x'' >= 0, r >= 0, l' = 1 + l + r, l >= 0, r'' >= 0, l' = 1 + l'' + r'', l'' >= 0, r1 >= 0, l' = 1 + l1 + r1, l1 >= 0 if(z, z', z'', z1, z2, z3) -{ 1 }-> x :|: b >= 0, n >= 0, z2 = x, z'' = n, z = 1, z1 = m, z3 = y, x >= 0, y >= 0, z' = b, m >= 0 if(z, z', z'', z1, z2, z3) -{ 1 }-> count(m, x) :|: n >= 0, z2 = x, z'' = n, z1 = m, z3 = y, x >= 0, y >= 0, z = 0, z' = 0, m >= 0 if(z, z', z'', z1, z2, z3) -{ 1 }-> count(n, y) :|: n >= 0, z2 = x, z'' = n, z1 = m, z3 = y, x >= 0, y >= 0, z' = 1, z = 0, m >= 0 inc(z) -{ 1 }-> 1 + inc(x) :|: x >= 0, z = 1 + x inc(z) -{ 1 }-> 1 + 0 :|: z = 0 isEmpty(z) -{ 1 }-> 1 :|: z = 0 isEmpty(z) -{ 1 }-> 0 :|: r >= 0, z = 1 + l + r, l >= 0 left(z) -{ 1 }-> l :|: r >= 0, z = 1 + l + r, l >= 0 left(z) -{ 1 }-> 0 :|: z = 0 nrOfNodes(z) -{ 1 }-> count(n, 0) :|: n >= 0, z = n right(z) -{ 1 }-> r :|: r >= 0, z = 1 + l + r, l >= 0 right(z) -{ 1 }-> 0 :|: z = 0 ---------------------------------------- (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: count(z, z') -{ 11 }-> if(1, 1, 0, 1 + 0 + (1 + 0 + 0), 0, 1 + 0) :|: z = 0, z' = 0, 0 = 0 count(z, z') -{ 11 }-> if(1, 1, 0, 1 + 0 + (1 + 0 + 0), 1 + (z' - 1), 1 + inc(z' - 1)) :|: z' - 1 >= 0, z = 0, 0 = 0 count(z, z') -{ 11 }-> if(0, 1, r', 1 + 0 + (1 + 0 + r'), 0, 1 + 0) :|: z = 1 + l' + r', l' >= 0, r' >= 0, z' = 0, l' = 0 count(z, z') -{ 11 }-> if(0, 1, r', 1 + 0 + (1 + 0 + r'), 1 + (z' - 1), 1 + inc(z' - 1)) :|: z = 1 + l' + r', l' >= 0, r' >= 0, z' - 1 >= 0, l' = 0 count(z, z') -{ 11 }-> if(0, 0, r', 1 + l'' + (1 + r1 + r'), 0, 1 + 0) :|: z = 1 + l' + r', l' >= 0, r' >= 0, z' = 0, r >= 0, l' = 1 + l + r, l >= 0, r'' >= 0, l' = 1 + l'' + r'', l'' >= 0, r1 >= 0, l' = 1 + l1 + r1, l1 >= 0 count(z, z') -{ 11 }-> if(0, 0, r', 1 + l'' + (1 + r1 + r'), 1 + (z' - 1), 1 + inc(z' - 1)) :|: z = 1 + l' + r', l' >= 0, r' >= 0, z' - 1 >= 0, r >= 0, l' = 1 + l + r, l >= 0, r'' >= 0, l' = 1 + l'' + r'', l'' >= 0, r1 >= 0, l' = 1 + l1 + r1, l1 >= 0 if(z, z', z'', z1, z2, z3) -{ 1 }-> z2 :|: z' >= 0, z'' >= 0, z = 1, z2 >= 0, z3 >= 0, z1 >= 0 if(z, z', z'', z1, z2, z3) -{ 1 }-> count(z'', z3) :|: z'' >= 0, z2 >= 0, z3 >= 0, z' = 1, z = 0, z1 >= 0 if(z, z', z'', z1, z2, z3) -{ 1 }-> count(z1, z2) :|: z'' >= 0, z2 >= 0, z3 >= 0, z = 0, z' = 0, z1 >= 0 inc(z) -{ 1 }-> 1 + inc(z - 1) :|: z - 1 >= 0 inc(z) -{ 1 }-> 1 + 0 :|: z = 0 isEmpty(z) -{ 1 }-> 1 :|: z = 0 isEmpty(z) -{ 1 }-> 0 :|: r >= 0, z = 1 + l + r, l >= 0 left(z) -{ 1 }-> l :|: r >= 0, z = 1 + l + r, l >= 0 left(z) -{ 1 }-> 0 :|: z = 0 nrOfNodes(z) -{ 1 }-> count(z, 0) :|: z >= 0 right(z) -{ 1 }-> r :|: r >= 0, z = 1 + l + r, l >= 0 right(z) -{ 1 }-> 0 :|: z = 0 ---------------------------------------- (19) CpxRntsAnalysisOrderProof (BOTH BOUNDS(ID, ID)) Found the following analysis order by SCC decomposition: { isEmpty } { right } { inc } { left } { count, if } { nrOfNodes } ---------------------------------------- (20) Obligation: Complexity RNTS consisting of the following rules: count(z, z') -{ 11 }-> if(1, 1, 0, 1 + 0 + (1 + 0 + 0), 0, 1 + 0) :|: z = 0, z' = 0, 0 = 0 count(z, z') -{ 11 }-> if(1, 1, 0, 1 + 0 + (1 + 0 + 0), 1 + (z' - 1), 1 + inc(z' - 1)) :|: z' - 1 >= 0, z = 0, 0 = 0 count(z, z') -{ 11 }-> if(0, 1, r', 1 + 0 + (1 + 0 + r'), 0, 1 + 0) :|: z = 1 + l' + r', l' >= 0, r' >= 0, z' = 0, l' = 0 count(z, z') -{ 11 }-> if(0, 1, r', 1 + 0 + (1 + 0 + r'), 1 + (z' - 1), 1 + inc(z' - 1)) :|: z = 1 + l' + r', l' >= 0, r' >= 0, z' - 1 >= 0, l' = 0 count(z, z') -{ 11 }-> if(0, 0, r', 1 + l'' + (1 + r1 + r'), 0, 1 + 0) :|: z = 1 + l' + r', l' >= 0, r' >= 0, z' = 0, r >= 0, l' = 1 + l + r, l >= 0, r'' >= 0, l' = 1 + l'' + r'', l'' >= 0, r1 >= 0, l' = 1 + l1 + r1, l1 >= 0 count(z, z') -{ 11 }-> if(0, 0, r', 1 + l'' + (1 + r1 + r'), 1 + (z' - 1), 1 + inc(z' - 1)) :|: z = 1 + l' + r', l' >= 0, r' >= 0, z' - 1 >= 0, r >= 0, l' = 1 + l + r, l >= 0, r'' >= 0, l' = 1 + l'' + r'', l'' >= 0, r1 >= 0, l' = 1 + l1 + r1, l1 >= 0 if(z, z', z'', z1, z2, z3) -{ 1 }-> z2 :|: z' >= 0, z'' >= 0, z = 1, z2 >= 0, z3 >= 0, z1 >= 0 if(z, z', z'', z1, z2, z3) -{ 1 }-> count(z'', z3) :|: z'' >= 0, z2 >= 0, z3 >= 0, z' = 1, z = 0, z1 >= 0 if(z, z', z'', z1, z2, z3) -{ 1 }-> count(z1, z2) :|: z'' >= 0, z2 >= 0, z3 >= 0, z = 0, z' = 0, z1 >= 0 inc(z) -{ 1 }-> 1 + inc(z - 1) :|: z - 1 >= 0 inc(z) -{ 1 }-> 1 + 0 :|: z = 0 isEmpty(z) -{ 1 }-> 1 :|: z = 0 isEmpty(z) -{ 1 }-> 0 :|: r >= 0, z = 1 + l + r, l >= 0 left(z) -{ 1 }-> l :|: r >= 0, z = 1 + l + r, l >= 0 left(z) -{ 1 }-> 0 :|: z = 0 nrOfNodes(z) -{ 1 }-> count(z, 0) :|: z >= 0 right(z) -{ 1 }-> r :|: r >= 0, z = 1 + l + r, l >= 0 right(z) -{ 1 }-> 0 :|: z = 0 Function symbols to be analyzed: {isEmpty}, {right}, {inc}, {left}, {count,if}, {nrOfNodes} ---------------------------------------- (21) ResultPropagationProof (UPPER BOUND(ID)) Applied inner abstraction using the recently inferred runtime/size bounds where possible. ---------------------------------------- (22) Obligation: Complexity RNTS consisting of the following rules: count(z, z') -{ 11 }-> if(1, 1, 0, 1 + 0 + (1 + 0 + 0), 0, 1 + 0) :|: z = 0, z' = 0, 0 = 0 count(z, z') -{ 11 }-> if(1, 1, 0, 1 + 0 + (1 + 0 + 0), 1 + (z' - 1), 1 + inc(z' - 1)) :|: z' - 1 >= 0, z = 0, 0 = 0 count(z, z') -{ 11 }-> if(0, 1, r', 1 + 0 + (1 + 0 + r'), 0, 1 + 0) :|: z = 1 + l' + r', l' >= 0, r' >= 0, z' = 0, l' = 0 count(z, z') -{ 11 }-> if(0, 1, r', 1 + 0 + (1 + 0 + r'), 1 + (z' - 1), 1 + inc(z' - 1)) :|: z = 1 + l' + r', l' >= 0, r' >= 0, z' - 1 >= 0, l' = 0 count(z, z') -{ 11 }-> if(0, 0, r', 1 + l'' + (1 + r1 + r'), 0, 1 + 0) :|: z = 1 + l' + r', l' >= 0, r' >= 0, z' = 0, r >= 0, l' = 1 + l + r, l >= 0, r'' >= 0, l' = 1 + l'' + r'', l'' >= 0, r1 >= 0, l' = 1 + l1 + r1, l1 >= 0 count(z, z') -{ 11 }-> if(0, 0, r', 1 + l'' + (1 + r1 + r'), 1 + (z' - 1), 1 + inc(z' - 1)) :|: z = 1 + l' + r', l' >= 0, r' >= 0, z' - 1 >= 0, r >= 0, l' = 1 + l + r, l >= 0, r'' >= 0, l' = 1 + l'' + r'', l'' >= 0, r1 >= 0, l' = 1 + l1 + r1, l1 >= 0 if(z, z', z'', z1, z2, z3) -{ 1 }-> z2 :|: z' >= 0, z'' >= 0, z = 1, z2 >= 0, z3 >= 0, z1 >= 0 if(z, z', z'', z1, z2, z3) -{ 1 }-> count(z'', z3) :|: z'' >= 0, z2 >= 0, z3 >= 0, z' = 1, z = 0, z1 >= 0 if(z, z', z'', z1, z2, z3) -{ 1 }-> count(z1, z2) :|: z'' >= 0, z2 >= 0, z3 >= 0, z = 0, z' = 0, z1 >= 0 inc(z) -{ 1 }-> 1 + inc(z - 1) :|: z - 1 >= 0 inc(z) -{ 1 }-> 1 + 0 :|: z = 0 isEmpty(z) -{ 1 }-> 1 :|: z = 0 isEmpty(z) -{ 1 }-> 0 :|: r >= 0, z = 1 + l + r, l >= 0 left(z) -{ 1 }-> l :|: r >= 0, z = 1 + l + r, l >= 0 left(z) -{ 1 }-> 0 :|: z = 0 nrOfNodes(z) -{ 1 }-> count(z, 0) :|: z >= 0 right(z) -{ 1 }-> r :|: r >= 0, z = 1 + l + r, l >= 0 right(z) -{ 1 }-> 0 :|: z = 0 Function symbols to be analyzed: {isEmpty}, {right}, {inc}, {left}, {count,if}, {nrOfNodes} ---------------------------------------- (23) IntTrsBoundProof (UPPER BOUND(ID)) Computed SIZE bound using CoFloCo for: isEmpty after applying outer abstraction to obtain an ITS, resulting in: O(1) with polynomial bound: 1 ---------------------------------------- (24) Obligation: Complexity RNTS consisting of the following rules: count(z, z') -{ 11 }-> if(1, 1, 0, 1 + 0 + (1 + 0 + 0), 0, 1 + 0) :|: z = 0, z' = 0, 0 = 0 count(z, z') -{ 11 }-> if(1, 1, 0, 1 + 0 + (1 + 0 + 0), 1 + (z' - 1), 1 + inc(z' - 1)) :|: z' - 1 >= 0, z = 0, 0 = 0 count(z, z') -{ 11 }-> if(0, 1, r', 1 + 0 + (1 + 0 + r'), 0, 1 + 0) :|: z = 1 + l' + r', l' >= 0, r' >= 0, z' = 0, l' = 0 count(z, z') -{ 11 }-> if(0, 1, r', 1 + 0 + (1 + 0 + r'), 1 + (z' - 1), 1 + inc(z' - 1)) :|: z = 1 + l' + r', l' >= 0, r' >= 0, z' - 1 >= 0, l' = 0 count(z, z') -{ 11 }-> if(0, 0, r', 1 + l'' + (1 + r1 + r'), 0, 1 + 0) :|: z = 1 + l' + r', l' >= 0, r' >= 0, z' = 0, r >= 0, l' = 1 + l + r, l >= 0, r'' >= 0, l' = 1 + l'' + r'', l'' >= 0, r1 >= 0, l' = 1 + l1 + r1, l1 >= 0 count(z, z') -{ 11 }-> if(0, 0, r', 1 + l'' + (1 + r1 + r'), 1 + (z' - 1), 1 + inc(z' - 1)) :|: z = 1 + l' + r', l' >= 0, r' >= 0, z' - 1 >= 0, r >= 0, l' = 1 + l + r, l >= 0, r'' >= 0, l' = 1 + l'' + r'', l'' >= 0, r1 >= 0, l' = 1 + l1 + r1, l1 >= 0 if(z, z', z'', z1, z2, z3) -{ 1 }-> z2 :|: z' >= 0, z'' >= 0, z = 1, z2 >= 0, z3 >= 0, z1 >= 0 if(z, z', z'', z1, z2, z3) -{ 1 }-> count(z'', z3) :|: z'' >= 0, z2 >= 0, z3 >= 0, z' = 1, z = 0, z1 >= 0 if(z, z', z'', z1, z2, z3) -{ 1 }-> count(z1, z2) :|: z'' >= 0, z2 >= 0, z3 >= 0, z = 0, z' = 0, z1 >= 0 inc(z) -{ 1 }-> 1 + inc(z - 1) :|: z - 1 >= 0 inc(z) -{ 1 }-> 1 + 0 :|: z = 0 isEmpty(z) -{ 1 }-> 1 :|: z = 0 isEmpty(z) -{ 1 }-> 0 :|: r >= 0, z = 1 + l + r, l >= 0 left(z) -{ 1 }-> l :|: r >= 0, z = 1 + l + r, l >= 0 left(z) -{ 1 }-> 0 :|: z = 0 nrOfNodes(z) -{ 1 }-> count(z, 0) :|: z >= 0 right(z) -{ 1 }-> r :|: r >= 0, z = 1 + l + r, l >= 0 right(z) -{ 1 }-> 0 :|: z = 0 Function symbols to be analyzed: {isEmpty}, {right}, {inc}, {left}, {count,if}, {nrOfNodes} Previous analysis results are: isEmpty: runtime: ?, size: O(1) [1] ---------------------------------------- (25) IntTrsBoundProof (UPPER BOUND(ID)) Computed RUNTIME bound using CoFloCo for: isEmpty after applying outer abstraction to obtain an ITS, resulting in: O(1) with polynomial bound: 1 ---------------------------------------- (26) Obligation: Complexity RNTS consisting of the following rules: count(z, z') -{ 11 }-> if(1, 1, 0, 1 + 0 + (1 + 0 + 0), 0, 1 + 0) :|: z = 0, z' = 0, 0 = 0 count(z, z') -{ 11 }-> if(1, 1, 0, 1 + 0 + (1 + 0 + 0), 1 + (z' - 1), 1 + inc(z' - 1)) :|: z' - 1 >= 0, z = 0, 0 = 0 count(z, z') -{ 11 }-> if(0, 1, r', 1 + 0 + (1 + 0 + r'), 0, 1 + 0) :|: z = 1 + l' + r', l' >= 0, r' >= 0, z' = 0, l' = 0 count(z, z') -{ 11 }-> if(0, 1, r', 1 + 0 + (1 + 0 + r'), 1 + (z' - 1), 1 + inc(z' - 1)) :|: z = 1 + l' + r', l' >= 0, r' >= 0, z' - 1 >= 0, l' = 0 count(z, z') -{ 11 }-> if(0, 0, r', 1 + l'' + (1 + r1 + r'), 0, 1 + 0) :|: z = 1 + l' + r', l' >= 0, r' >= 0, z' = 0, r >= 0, l' = 1 + l + r, l >= 0, r'' >= 0, l' = 1 + l'' + r'', l'' >= 0, r1 >= 0, l' = 1 + l1 + r1, l1 >= 0 count(z, z') -{ 11 }-> if(0, 0, r', 1 + l'' + (1 + r1 + r'), 1 + (z' - 1), 1 + inc(z' - 1)) :|: z = 1 + l' + r', l' >= 0, r' >= 0, z' - 1 >= 0, r >= 0, l' = 1 + l + r, l >= 0, r'' >= 0, l' = 1 + l'' + r'', l'' >= 0, r1 >= 0, l' = 1 + l1 + r1, l1 >= 0 if(z, z', z'', z1, z2, z3) -{ 1 }-> z2 :|: z' >= 0, z'' >= 0, z = 1, z2 >= 0, z3 >= 0, z1 >= 0 if(z, z', z'', z1, z2, z3) -{ 1 }-> count(z'', z3) :|: z'' >= 0, z2 >= 0, z3 >= 0, z' = 1, z = 0, z1 >= 0 if(z, z', z'', z1, z2, z3) -{ 1 }-> count(z1, z2) :|: z'' >= 0, z2 >= 0, z3 >= 0, z = 0, z' = 0, z1 >= 0 inc(z) -{ 1 }-> 1 + inc(z - 1) :|: z - 1 >= 0 inc(z) -{ 1 }-> 1 + 0 :|: z = 0 isEmpty(z) -{ 1 }-> 1 :|: z = 0 isEmpty(z) -{ 1 }-> 0 :|: r >= 0, z = 1 + l + r, l >= 0 left(z) -{ 1 }-> l :|: r >= 0, z = 1 + l + r, l >= 0 left(z) -{ 1 }-> 0 :|: z = 0 nrOfNodes(z) -{ 1 }-> count(z, 0) :|: z >= 0 right(z) -{ 1 }-> r :|: r >= 0, z = 1 + l + r, l >= 0 right(z) -{ 1 }-> 0 :|: z = 0 Function symbols to be analyzed: {right}, {inc}, {left}, {count,if}, {nrOfNodes} Previous analysis results are: isEmpty: runtime: O(1) [1], size: O(1) [1] ---------------------------------------- (27) ResultPropagationProof (UPPER BOUND(ID)) Applied inner abstraction using the recently inferred runtime/size bounds where possible. ---------------------------------------- (28) Obligation: Complexity RNTS consisting of the following rules: count(z, z') -{ 11 }-> if(1, 1, 0, 1 + 0 + (1 + 0 + 0), 0, 1 + 0) :|: z = 0, z' = 0, 0 = 0 count(z, z') -{ 11 }-> if(1, 1, 0, 1 + 0 + (1 + 0 + 0), 1 + (z' - 1), 1 + inc(z' - 1)) :|: z' - 1 >= 0, z = 0, 0 = 0 count(z, z') -{ 11 }-> if(0, 1, r', 1 + 0 + (1 + 0 + r'), 0, 1 + 0) :|: z = 1 + l' + r', l' >= 0, r' >= 0, z' = 0, l' = 0 count(z, z') -{ 11 }-> if(0, 1, r', 1 + 0 + (1 + 0 + r'), 1 + (z' - 1), 1 + inc(z' - 1)) :|: z = 1 + l' + r', l' >= 0, r' >= 0, z' - 1 >= 0, l' = 0 count(z, z') -{ 11 }-> if(0, 0, r', 1 + l'' + (1 + r1 + r'), 0, 1 + 0) :|: z = 1 + l' + r', l' >= 0, r' >= 0, z' = 0, r >= 0, l' = 1 + l + r, l >= 0, r'' >= 0, l' = 1 + l'' + r'', l'' >= 0, r1 >= 0, l' = 1 + l1 + r1, l1 >= 0 count(z, z') -{ 11 }-> if(0, 0, r', 1 + l'' + (1 + r1 + r'), 1 + (z' - 1), 1 + inc(z' - 1)) :|: z = 1 + l' + r', l' >= 0, r' >= 0, z' - 1 >= 0, r >= 0, l' = 1 + l + r, l >= 0, r'' >= 0, l' = 1 + l'' + r'', l'' >= 0, r1 >= 0, l' = 1 + l1 + r1, l1 >= 0 if(z, z', z'', z1, z2, z3) -{ 1 }-> z2 :|: z' >= 0, z'' >= 0, z = 1, z2 >= 0, z3 >= 0, z1 >= 0 if(z, z', z'', z1, z2, z3) -{ 1 }-> count(z'', z3) :|: z'' >= 0, z2 >= 0, z3 >= 0, z' = 1, z = 0, z1 >= 0 if(z, z', z'', z1, z2, z3) -{ 1 }-> count(z1, z2) :|: z'' >= 0, z2 >= 0, z3 >= 0, z = 0, z' = 0, z1 >= 0 inc(z) -{ 1 }-> 1 + inc(z - 1) :|: z - 1 >= 0 inc(z) -{ 1 }-> 1 + 0 :|: z = 0 isEmpty(z) -{ 1 }-> 1 :|: z = 0 isEmpty(z) -{ 1 }-> 0 :|: r >= 0, z = 1 + l + r, l >= 0 left(z) -{ 1 }-> l :|: r >= 0, z = 1 + l + r, l >= 0 left(z) -{ 1 }-> 0 :|: z = 0 nrOfNodes(z) -{ 1 }-> count(z, 0) :|: z >= 0 right(z) -{ 1 }-> r :|: r >= 0, z = 1 + l + r, l >= 0 right(z) -{ 1 }-> 0 :|: z = 0 Function symbols to be analyzed: {right}, {inc}, {left}, {count,if}, {nrOfNodes} Previous analysis results are: isEmpty: runtime: O(1) [1], size: O(1) [1] ---------------------------------------- (29) IntTrsBoundProof (UPPER BOUND(ID)) Computed SIZE bound using KoAT for: right after applying outer abstraction to obtain an ITS, resulting in: O(n^1) with polynomial bound: z ---------------------------------------- (30) Obligation: Complexity RNTS consisting of the following rules: count(z, z') -{ 11 }-> if(1, 1, 0, 1 + 0 + (1 + 0 + 0), 0, 1 + 0) :|: z = 0, z' = 0, 0 = 0 count(z, z') -{ 11 }-> if(1, 1, 0, 1 + 0 + (1 + 0 + 0), 1 + (z' - 1), 1 + inc(z' - 1)) :|: z' - 1 >= 0, z = 0, 0 = 0 count(z, z') -{ 11 }-> if(0, 1, r', 1 + 0 + (1 + 0 + r'), 0, 1 + 0) :|: z = 1 + l' + r', l' >= 0, r' >= 0, z' = 0, l' = 0 count(z, z') -{ 11 }-> if(0, 1, r', 1 + 0 + (1 + 0 + r'), 1 + (z' - 1), 1 + inc(z' - 1)) :|: z = 1 + l' + r', l' >= 0, r' >= 0, z' - 1 >= 0, l' = 0 count(z, z') -{ 11 }-> if(0, 0, r', 1 + l'' + (1 + r1 + r'), 0, 1 + 0) :|: z = 1 + l' + r', l' >= 0, r' >= 0, z' = 0, r >= 0, l' = 1 + l + r, l >= 0, r'' >= 0, l' = 1 + l'' + r'', l'' >= 0, r1 >= 0, l' = 1 + l1 + r1, l1 >= 0 count(z, z') -{ 11 }-> if(0, 0, r', 1 + l'' + (1 + r1 + r'), 1 + (z' - 1), 1 + inc(z' - 1)) :|: z = 1 + l' + r', l' >= 0, r' >= 0, z' - 1 >= 0, r >= 0, l' = 1 + l + r, l >= 0, r'' >= 0, l' = 1 + l'' + r'', l'' >= 0, r1 >= 0, l' = 1 + l1 + r1, l1 >= 0 if(z, z', z'', z1, z2, z3) -{ 1 }-> z2 :|: z' >= 0, z'' >= 0, z = 1, z2 >= 0, z3 >= 0, z1 >= 0 if(z, z', z'', z1, z2, z3) -{ 1 }-> count(z'', z3) :|: z'' >= 0, z2 >= 0, z3 >= 0, z' = 1, z = 0, z1 >= 0 if(z, z', z'', z1, z2, z3) -{ 1 }-> count(z1, z2) :|: z'' >= 0, z2 >= 0, z3 >= 0, z = 0, z' = 0, z1 >= 0 inc(z) -{ 1 }-> 1 + inc(z - 1) :|: z - 1 >= 0 inc(z) -{ 1 }-> 1 + 0 :|: z = 0 isEmpty(z) -{ 1 }-> 1 :|: z = 0 isEmpty(z) -{ 1 }-> 0 :|: r >= 0, z = 1 + l + r, l >= 0 left(z) -{ 1 }-> l :|: r >= 0, z = 1 + l + r, l >= 0 left(z) -{ 1 }-> 0 :|: z = 0 nrOfNodes(z) -{ 1 }-> count(z, 0) :|: z >= 0 right(z) -{ 1 }-> r :|: r >= 0, z = 1 + l + r, l >= 0 right(z) -{ 1 }-> 0 :|: z = 0 Function symbols to be analyzed: {right}, {inc}, {left}, {count,if}, {nrOfNodes} Previous analysis results are: isEmpty: runtime: O(1) [1], size: O(1) [1] right: runtime: ?, size: O(n^1) [z] ---------------------------------------- (31) IntTrsBoundProof (UPPER BOUND(ID)) Computed RUNTIME bound using CoFloCo for: right after applying outer abstraction to obtain an ITS, resulting in: O(1) with polynomial bound: 1 ---------------------------------------- (32) Obligation: Complexity RNTS consisting of the following rules: count(z, z') -{ 11 }-> if(1, 1, 0, 1 + 0 + (1 + 0 + 0), 0, 1 + 0) :|: z = 0, z' = 0, 0 = 0 count(z, z') -{ 11 }-> if(1, 1, 0, 1 + 0 + (1 + 0 + 0), 1 + (z' - 1), 1 + inc(z' - 1)) :|: z' - 1 >= 0, z = 0, 0 = 0 count(z, z') -{ 11 }-> if(0, 1, r', 1 + 0 + (1 + 0 + r'), 0, 1 + 0) :|: z = 1 + l' + r', l' >= 0, r' >= 0, z' = 0, l' = 0 count(z, z') -{ 11 }-> if(0, 1, r', 1 + 0 + (1 + 0 + r'), 1 + (z' - 1), 1 + inc(z' - 1)) :|: z = 1 + l' + r', l' >= 0, r' >= 0, z' - 1 >= 0, l' = 0 count(z, z') -{ 11 }-> if(0, 0, r', 1 + l'' + (1 + r1 + r'), 0, 1 + 0) :|: z = 1 + l' + r', l' >= 0, r' >= 0, z' = 0, r >= 0, l' = 1 + l + r, l >= 0, r'' >= 0, l' = 1 + l'' + r'', l'' >= 0, r1 >= 0, l' = 1 + l1 + r1, l1 >= 0 count(z, z') -{ 11 }-> if(0, 0, r', 1 + l'' + (1 + r1 + r'), 1 + (z' - 1), 1 + inc(z' - 1)) :|: z = 1 + l' + r', l' >= 0, r' >= 0, z' - 1 >= 0, r >= 0, l' = 1 + l + r, l >= 0, r'' >= 0, l' = 1 + l'' + r'', l'' >= 0, r1 >= 0, l' = 1 + l1 + r1, l1 >= 0 if(z, z', z'', z1, z2, z3) -{ 1 }-> z2 :|: z' >= 0, z'' >= 0, z = 1, z2 >= 0, z3 >= 0, z1 >= 0 if(z, z', z'', z1, z2, z3) -{ 1 }-> count(z'', z3) :|: z'' >= 0, z2 >= 0, z3 >= 0, z' = 1, z = 0, z1 >= 0 if(z, z', z'', z1, z2, z3) -{ 1 }-> count(z1, z2) :|: z'' >= 0, z2 >= 0, z3 >= 0, z = 0, z' = 0, z1 >= 0 inc(z) -{ 1 }-> 1 + inc(z - 1) :|: z - 1 >= 0 inc(z) -{ 1 }-> 1 + 0 :|: z = 0 isEmpty(z) -{ 1 }-> 1 :|: z = 0 isEmpty(z) -{ 1 }-> 0 :|: r >= 0, z = 1 + l + r, l >= 0 left(z) -{ 1 }-> l :|: r >= 0, z = 1 + l + r, l >= 0 left(z) -{ 1 }-> 0 :|: z = 0 nrOfNodes(z) -{ 1 }-> count(z, 0) :|: z >= 0 right(z) -{ 1 }-> r :|: r >= 0, z = 1 + l + r, l >= 0 right(z) -{ 1 }-> 0 :|: z = 0 Function symbols to be analyzed: {inc}, {left}, {count,if}, {nrOfNodes} Previous analysis results are: isEmpty: runtime: O(1) [1], size: O(1) [1] right: runtime: O(1) [1], size: O(n^1) [z] ---------------------------------------- (33) ResultPropagationProof (UPPER BOUND(ID)) Applied inner abstraction using the recently inferred runtime/size bounds where possible. ---------------------------------------- (34) Obligation: Complexity RNTS consisting of the following rules: count(z, z') -{ 11 }-> if(1, 1, 0, 1 + 0 + (1 + 0 + 0), 0, 1 + 0) :|: z = 0, z' = 0, 0 = 0 count(z, z') -{ 11 }-> if(1, 1, 0, 1 + 0 + (1 + 0 + 0), 1 + (z' - 1), 1 + inc(z' - 1)) :|: z' - 1 >= 0, z = 0, 0 = 0 count(z, z') -{ 11 }-> if(0, 1, r', 1 + 0 + (1 + 0 + r'), 0, 1 + 0) :|: z = 1 + l' + r', l' >= 0, r' >= 0, z' = 0, l' = 0 count(z, z') -{ 11 }-> if(0, 1, r', 1 + 0 + (1 + 0 + r'), 1 + (z' - 1), 1 + inc(z' - 1)) :|: z = 1 + l' + r', l' >= 0, r' >= 0, z' - 1 >= 0, l' = 0 count(z, z') -{ 11 }-> if(0, 0, r', 1 + l'' + (1 + r1 + r'), 0, 1 + 0) :|: z = 1 + l' + r', l' >= 0, r' >= 0, z' = 0, r >= 0, l' = 1 + l + r, l >= 0, r'' >= 0, l' = 1 + l'' + r'', l'' >= 0, r1 >= 0, l' = 1 + l1 + r1, l1 >= 0 count(z, z') -{ 11 }-> if(0, 0, r', 1 + l'' + (1 + r1 + r'), 1 + (z' - 1), 1 + inc(z' - 1)) :|: z = 1 + l' + r', l' >= 0, r' >= 0, z' - 1 >= 0, r >= 0, l' = 1 + l + r, l >= 0, r'' >= 0, l' = 1 + l'' + r'', l'' >= 0, r1 >= 0, l' = 1 + l1 + r1, l1 >= 0 if(z, z', z'', z1, z2, z3) -{ 1 }-> z2 :|: z' >= 0, z'' >= 0, z = 1, z2 >= 0, z3 >= 0, z1 >= 0 if(z, z', z'', z1, z2, z3) -{ 1 }-> count(z'', z3) :|: z'' >= 0, z2 >= 0, z3 >= 0, z' = 1, z = 0, z1 >= 0 if(z, z', z'', z1, z2, z3) -{ 1 }-> count(z1, z2) :|: z'' >= 0, z2 >= 0, z3 >= 0, z = 0, z' = 0, z1 >= 0 inc(z) -{ 1 }-> 1 + inc(z - 1) :|: z - 1 >= 0 inc(z) -{ 1 }-> 1 + 0 :|: z = 0 isEmpty(z) -{ 1 }-> 1 :|: z = 0 isEmpty(z) -{ 1 }-> 0 :|: r >= 0, z = 1 + l + r, l >= 0 left(z) -{ 1 }-> l :|: r >= 0, z = 1 + l + r, l >= 0 left(z) -{ 1 }-> 0 :|: z = 0 nrOfNodes(z) -{ 1 }-> count(z, 0) :|: z >= 0 right(z) -{ 1 }-> r :|: r >= 0, z = 1 + l + r, l >= 0 right(z) -{ 1 }-> 0 :|: z = 0 Function symbols to be analyzed: {inc}, {left}, {count,if}, {nrOfNodes} Previous analysis results are: isEmpty: runtime: O(1) [1], size: O(1) [1] right: runtime: O(1) [1], size: O(n^1) [z] ---------------------------------------- (35) IntTrsBoundProof (UPPER BOUND(ID)) Computed SIZE bound using CoFloCo for: inc after applying outer abstraction to obtain an ITS, resulting in: O(n^1) with polynomial bound: 1 + z ---------------------------------------- (36) Obligation: Complexity RNTS consisting of the following rules: count(z, z') -{ 11 }-> if(1, 1, 0, 1 + 0 + (1 + 0 + 0), 0, 1 + 0) :|: z = 0, z' = 0, 0 = 0 count(z, z') -{ 11 }-> if(1, 1, 0, 1 + 0 + (1 + 0 + 0), 1 + (z' - 1), 1 + inc(z' - 1)) :|: z' - 1 >= 0, z = 0, 0 = 0 count(z, z') -{ 11 }-> if(0, 1, r', 1 + 0 + (1 + 0 + r'), 0, 1 + 0) :|: z = 1 + l' + r', l' >= 0, r' >= 0, z' = 0, l' = 0 count(z, z') -{ 11 }-> if(0, 1, r', 1 + 0 + (1 + 0 + r'), 1 + (z' - 1), 1 + inc(z' - 1)) :|: z = 1 + l' + r', l' >= 0, r' >= 0, z' - 1 >= 0, l' = 0 count(z, z') -{ 11 }-> if(0, 0, r', 1 + l'' + (1 + r1 + r'), 0, 1 + 0) :|: z = 1 + l' + r', l' >= 0, r' >= 0, z' = 0, r >= 0, l' = 1 + l + r, l >= 0, r'' >= 0, l' = 1 + l'' + r'', l'' >= 0, r1 >= 0, l' = 1 + l1 + r1, l1 >= 0 count(z, z') -{ 11 }-> if(0, 0, r', 1 + l'' + (1 + r1 + r'), 1 + (z' - 1), 1 + inc(z' - 1)) :|: z = 1 + l' + r', l' >= 0, r' >= 0, z' - 1 >= 0, r >= 0, l' = 1 + l + r, l >= 0, r'' >= 0, l' = 1 + l'' + r'', l'' >= 0, r1 >= 0, l' = 1 + l1 + r1, l1 >= 0 if(z, z', z'', z1, z2, z3) -{ 1 }-> z2 :|: z' >= 0, z'' >= 0, z = 1, z2 >= 0, z3 >= 0, z1 >= 0 if(z, z', z'', z1, z2, z3) -{ 1 }-> count(z'', z3) :|: z'' >= 0, z2 >= 0, z3 >= 0, z' = 1, z = 0, z1 >= 0 if(z, z', z'', z1, z2, z3) -{ 1 }-> count(z1, z2) :|: z'' >= 0, z2 >= 0, z3 >= 0, z = 0, z' = 0, z1 >= 0 inc(z) -{ 1 }-> 1 + inc(z - 1) :|: z - 1 >= 0 inc(z) -{ 1 }-> 1 + 0 :|: z = 0 isEmpty(z) -{ 1 }-> 1 :|: z = 0 isEmpty(z) -{ 1 }-> 0 :|: r >= 0, z = 1 + l + r, l >= 0 left(z) -{ 1 }-> l :|: r >= 0, z = 1 + l + r, l >= 0 left(z) -{ 1 }-> 0 :|: z = 0 nrOfNodes(z) -{ 1 }-> count(z, 0) :|: z >= 0 right(z) -{ 1 }-> r :|: r >= 0, z = 1 + l + r, l >= 0 right(z) -{ 1 }-> 0 :|: z = 0 Function symbols to be analyzed: {inc}, {left}, {count,if}, {nrOfNodes} Previous analysis results are: isEmpty: runtime: O(1) [1], size: O(1) [1] right: runtime: O(1) [1], size: O(n^1) [z] inc: runtime: ?, size: O(n^1) [1 + z] ---------------------------------------- (37) IntTrsBoundProof (UPPER BOUND(ID)) Computed RUNTIME bound using CoFloCo for: inc after applying outer abstraction to obtain an ITS, resulting in: O(n^1) with polynomial bound: 1 + z ---------------------------------------- (38) Obligation: Complexity RNTS consisting of the following rules: count(z, z') -{ 11 }-> if(1, 1, 0, 1 + 0 + (1 + 0 + 0), 0, 1 + 0) :|: z = 0, z' = 0, 0 = 0 count(z, z') -{ 11 }-> if(1, 1, 0, 1 + 0 + (1 + 0 + 0), 1 + (z' - 1), 1 + inc(z' - 1)) :|: z' - 1 >= 0, z = 0, 0 = 0 count(z, z') -{ 11 }-> if(0, 1, r', 1 + 0 + (1 + 0 + r'), 0, 1 + 0) :|: z = 1 + l' + r', l' >= 0, r' >= 0, z' = 0, l' = 0 count(z, z') -{ 11 }-> if(0, 1, r', 1 + 0 + (1 + 0 + r'), 1 + (z' - 1), 1 + inc(z' - 1)) :|: z = 1 + l' + r', l' >= 0, r' >= 0, z' - 1 >= 0, l' = 0 count(z, z') -{ 11 }-> if(0, 0, r', 1 + l'' + (1 + r1 + r'), 0, 1 + 0) :|: z = 1 + l' + r', l' >= 0, r' >= 0, z' = 0, r >= 0, l' = 1 + l + r, l >= 0, r'' >= 0, l' = 1 + l'' + r'', l'' >= 0, r1 >= 0, l' = 1 + l1 + r1, l1 >= 0 count(z, z') -{ 11 }-> if(0, 0, r', 1 + l'' + (1 + r1 + r'), 1 + (z' - 1), 1 + inc(z' - 1)) :|: z = 1 + l' + r', l' >= 0, r' >= 0, z' - 1 >= 0, r >= 0, l' = 1 + l + r, l >= 0, r'' >= 0, l' = 1 + l'' + r'', l'' >= 0, r1 >= 0, l' = 1 + l1 + r1, l1 >= 0 if(z, z', z'', z1, z2, z3) -{ 1 }-> z2 :|: z' >= 0, z'' >= 0, z = 1, z2 >= 0, z3 >= 0, z1 >= 0 if(z, z', z'', z1, z2, z3) -{ 1 }-> count(z'', z3) :|: z'' >= 0, z2 >= 0, z3 >= 0, z' = 1, z = 0, z1 >= 0 if(z, z', z'', z1, z2, z3) -{ 1 }-> count(z1, z2) :|: z'' >= 0, z2 >= 0, z3 >= 0, z = 0, z' = 0, z1 >= 0 inc(z) -{ 1 }-> 1 + inc(z - 1) :|: z - 1 >= 0 inc(z) -{ 1 }-> 1 + 0 :|: z = 0 isEmpty(z) -{ 1 }-> 1 :|: z = 0 isEmpty(z) -{ 1 }-> 0 :|: r >= 0, z = 1 + l + r, l >= 0 left(z) -{ 1 }-> l :|: r >= 0, z = 1 + l + r, l >= 0 left(z) -{ 1 }-> 0 :|: z = 0 nrOfNodes(z) -{ 1 }-> count(z, 0) :|: z >= 0 right(z) -{ 1 }-> r :|: r >= 0, z = 1 + l + r, l >= 0 right(z) -{ 1 }-> 0 :|: z = 0 Function symbols to be analyzed: {left}, {count,if}, {nrOfNodes} Previous analysis results are: isEmpty: runtime: O(1) [1], size: O(1) [1] right: runtime: O(1) [1], size: O(n^1) [z] inc: runtime: O(n^1) [1 + z], size: O(n^1) [1 + z] ---------------------------------------- (39) ResultPropagationProof (UPPER BOUND(ID)) Applied inner abstraction using the recently inferred runtime/size bounds where possible. ---------------------------------------- (40) Obligation: Complexity RNTS consisting of the following rules: count(z, z') -{ 11 }-> if(1, 1, 0, 1 + 0 + (1 + 0 + 0), 0, 1 + 0) :|: z = 0, z' = 0, 0 = 0 count(z, z') -{ 11 + z' }-> if(1, 1, 0, 1 + 0 + (1 + 0 + 0), 1 + (z' - 1), 1 + s') :|: s' >= 0, s' <= z' - 1 + 1, z' - 1 >= 0, z = 0, 0 = 0 count(z, z') -{ 11 }-> if(0, 1, r', 1 + 0 + (1 + 0 + r'), 0, 1 + 0) :|: z = 1 + l' + r', l' >= 0, r' >= 0, z' = 0, l' = 0 count(z, z') -{ 11 + z' }-> if(0, 1, r', 1 + 0 + (1 + 0 + r'), 1 + (z' - 1), 1 + s'') :|: s'' >= 0, s'' <= z' - 1 + 1, z = 1 + l' + r', l' >= 0, r' >= 0, z' - 1 >= 0, l' = 0 count(z, z') -{ 11 }-> if(0, 0, r', 1 + l'' + (1 + r1 + r'), 0, 1 + 0) :|: z = 1 + l' + r', l' >= 0, r' >= 0, z' = 0, r >= 0, l' = 1 + l + r, l >= 0, r'' >= 0, l' = 1 + l'' + r'', l'' >= 0, r1 >= 0, l' = 1 + l1 + r1, l1 >= 0 count(z, z') -{ 11 + z' }-> if(0, 0, r', 1 + l'' + (1 + r1 + r'), 1 + (z' - 1), 1 + s1) :|: s1 >= 0, s1 <= z' - 1 + 1, z = 1 + l' + r', l' >= 0, r' >= 0, z' - 1 >= 0, r >= 0, l' = 1 + l + r, l >= 0, r'' >= 0, l' = 1 + l'' + r'', l'' >= 0, r1 >= 0, l' = 1 + l1 + r1, l1 >= 0 if(z, z', z'', z1, z2, z3) -{ 1 }-> z2 :|: z' >= 0, z'' >= 0, z = 1, z2 >= 0, z3 >= 0, z1 >= 0 if(z, z', z'', z1, z2, z3) -{ 1 }-> count(z'', z3) :|: z'' >= 0, z2 >= 0, z3 >= 0, z' = 1, z = 0, z1 >= 0 if(z, z', z'', z1, z2, z3) -{ 1 }-> count(z1, z2) :|: z'' >= 0, z2 >= 0, z3 >= 0, z = 0, z' = 0, z1 >= 0 inc(z) -{ 1 + z }-> 1 + s :|: s >= 0, s <= z - 1 + 1, z - 1 >= 0 inc(z) -{ 1 }-> 1 + 0 :|: z = 0 isEmpty(z) -{ 1 }-> 1 :|: z = 0 isEmpty(z) -{ 1 }-> 0 :|: r >= 0, z = 1 + l + r, l >= 0 left(z) -{ 1 }-> l :|: r >= 0, z = 1 + l + r, l >= 0 left(z) -{ 1 }-> 0 :|: z = 0 nrOfNodes(z) -{ 1 }-> count(z, 0) :|: z >= 0 right(z) -{ 1 }-> r :|: r >= 0, z = 1 + l + r, l >= 0 right(z) -{ 1 }-> 0 :|: z = 0 Function symbols to be analyzed: {left}, {count,if}, {nrOfNodes} Previous analysis results are: isEmpty: runtime: O(1) [1], size: O(1) [1] right: runtime: O(1) [1], size: O(n^1) [z] inc: runtime: O(n^1) [1 + z], size: O(n^1) [1 + z] ---------------------------------------- (41) IntTrsBoundProof (UPPER BOUND(ID)) Computed SIZE bound using KoAT for: left after applying outer abstraction to obtain an ITS, resulting in: O(n^1) with polynomial bound: z ---------------------------------------- (42) Obligation: Complexity RNTS consisting of the following rules: count(z, z') -{ 11 }-> if(1, 1, 0, 1 + 0 + (1 + 0 + 0), 0, 1 + 0) :|: z = 0, z' = 0, 0 = 0 count(z, z') -{ 11 + z' }-> if(1, 1, 0, 1 + 0 + (1 + 0 + 0), 1 + (z' - 1), 1 + s') :|: s' >= 0, s' <= z' - 1 + 1, z' - 1 >= 0, z = 0, 0 = 0 count(z, z') -{ 11 }-> if(0, 1, r', 1 + 0 + (1 + 0 + r'), 0, 1 + 0) :|: z = 1 + l' + r', l' >= 0, r' >= 0, z' = 0, l' = 0 count(z, z') -{ 11 + z' }-> if(0, 1, r', 1 + 0 + (1 + 0 + r'), 1 + (z' - 1), 1 + s'') :|: s'' >= 0, s'' <= z' - 1 + 1, z = 1 + l' + r', l' >= 0, r' >= 0, z' - 1 >= 0, l' = 0 count(z, z') -{ 11 }-> if(0, 0, r', 1 + l'' + (1 + r1 + r'), 0, 1 + 0) :|: z = 1 + l' + r', l' >= 0, r' >= 0, z' = 0, r >= 0, l' = 1 + l + r, l >= 0, r'' >= 0, l' = 1 + l'' + r'', l'' >= 0, r1 >= 0, l' = 1 + l1 + r1, l1 >= 0 count(z, z') -{ 11 + z' }-> if(0, 0, r', 1 + l'' + (1 + r1 + r'), 1 + (z' - 1), 1 + s1) :|: s1 >= 0, s1 <= z' - 1 + 1, z = 1 + l' + r', l' >= 0, r' >= 0, z' - 1 >= 0, r >= 0, l' = 1 + l + r, l >= 0, r'' >= 0, l' = 1 + l'' + r'', l'' >= 0, r1 >= 0, l' = 1 + l1 + r1, l1 >= 0 if(z, z', z'', z1, z2, z3) -{ 1 }-> z2 :|: z' >= 0, z'' >= 0, z = 1, z2 >= 0, z3 >= 0, z1 >= 0 if(z, z', z'', z1, z2, z3) -{ 1 }-> count(z'', z3) :|: z'' >= 0, z2 >= 0, z3 >= 0, z' = 1, z = 0, z1 >= 0 if(z, z', z'', z1, z2, z3) -{ 1 }-> count(z1, z2) :|: z'' >= 0, z2 >= 0, z3 >= 0, z = 0, z' = 0, z1 >= 0 inc(z) -{ 1 + z }-> 1 + s :|: s >= 0, s <= z - 1 + 1, z - 1 >= 0 inc(z) -{ 1 }-> 1 + 0 :|: z = 0 isEmpty(z) -{ 1 }-> 1 :|: z = 0 isEmpty(z) -{ 1 }-> 0 :|: r >= 0, z = 1 + l + r, l >= 0 left(z) -{ 1 }-> l :|: r >= 0, z = 1 + l + r, l >= 0 left(z) -{ 1 }-> 0 :|: z = 0 nrOfNodes(z) -{ 1 }-> count(z, 0) :|: z >= 0 right(z) -{ 1 }-> r :|: r >= 0, z = 1 + l + r, l >= 0 right(z) -{ 1 }-> 0 :|: z = 0 Function symbols to be analyzed: {left}, {count,if}, {nrOfNodes} Previous analysis results are: isEmpty: runtime: O(1) [1], size: O(1) [1] right: runtime: O(1) [1], size: O(n^1) [z] inc: runtime: O(n^1) [1 + z], size: O(n^1) [1 + z] left: runtime: ?, size: O(n^1) [z] ---------------------------------------- (43) IntTrsBoundProof (UPPER BOUND(ID)) Computed RUNTIME bound using CoFloCo for: left after applying outer abstraction to obtain an ITS, resulting in: O(1) with polynomial bound: 1 ---------------------------------------- (44) Obligation: Complexity RNTS consisting of the following rules: count(z, z') -{ 11 }-> if(1, 1, 0, 1 + 0 + (1 + 0 + 0), 0, 1 + 0) :|: z = 0, z' = 0, 0 = 0 count(z, z') -{ 11 + z' }-> if(1, 1, 0, 1 + 0 + (1 + 0 + 0), 1 + (z' - 1), 1 + s') :|: s' >= 0, s' <= z' - 1 + 1, z' - 1 >= 0, z = 0, 0 = 0 count(z, z') -{ 11 }-> if(0, 1, r', 1 + 0 + (1 + 0 + r'), 0, 1 + 0) :|: z = 1 + l' + r', l' >= 0, r' >= 0, z' = 0, l' = 0 count(z, z') -{ 11 + z' }-> if(0, 1, r', 1 + 0 + (1 + 0 + r'), 1 + (z' - 1), 1 + s'') :|: s'' >= 0, s'' <= z' - 1 + 1, z = 1 + l' + r', l' >= 0, r' >= 0, z' - 1 >= 0, l' = 0 count(z, z') -{ 11 }-> if(0, 0, r', 1 + l'' + (1 + r1 + r'), 0, 1 + 0) :|: z = 1 + l' + r', l' >= 0, r' >= 0, z' = 0, r >= 0, l' = 1 + l + r, l >= 0, r'' >= 0, l' = 1 + l'' + r'', l'' >= 0, r1 >= 0, l' = 1 + l1 + r1, l1 >= 0 count(z, z') -{ 11 + z' }-> if(0, 0, r', 1 + l'' + (1 + r1 + r'), 1 + (z' - 1), 1 + s1) :|: s1 >= 0, s1 <= z' - 1 + 1, z = 1 + l' + r', l' >= 0, r' >= 0, z' - 1 >= 0, r >= 0, l' = 1 + l + r, l >= 0, r'' >= 0, l' = 1 + l'' + r'', l'' >= 0, r1 >= 0, l' = 1 + l1 + r1, l1 >= 0 if(z, z', z'', z1, z2, z3) -{ 1 }-> z2 :|: z' >= 0, z'' >= 0, z = 1, z2 >= 0, z3 >= 0, z1 >= 0 if(z, z', z'', z1, z2, z3) -{ 1 }-> count(z'', z3) :|: z'' >= 0, z2 >= 0, z3 >= 0, z' = 1, z = 0, z1 >= 0 if(z, z', z'', z1, z2, z3) -{ 1 }-> count(z1, z2) :|: z'' >= 0, z2 >= 0, z3 >= 0, z = 0, z' = 0, z1 >= 0 inc(z) -{ 1 + z }-> 1 + s :|: s >= 0, s <= z - 1 + 1, z - 1 >= 0 inc(z) -{ 1 }-> 1 + 0 :|: z = 0 isEmpty(z) -{ 1 }-> 1 :|: z = 0 isEmpty(z) -{ 1 }-> 0 :|: r >= 0, z = 1 + l + r, l >= 0 left(z) -{ 1 }-> l :|: r >= 0, z = 1 + l + r, l >= 0 left(z) -{ 1 }-> 0 :|: z = 0 nrOfNodes(z) -{ 1 }-> count(z, 0) :|: z >= 0 right(z) -{ 1 }-> r :|: r >= 0, z = 1 + l + r, l >= 0 right(z) -{ 1 }-> 0 :|: z = 0 Function symbols to be analyzed: {count,if}, {nrOfNodes} Previous analysis results are: isEmpty: runtime: O(1) [1], size: O(1) [1] right: runtime: O(1) [1], size: O(n^1) [z] inc: runtime: O(n^1) [1 + z], size: O(n^1) [1 + z] left: runtime: O(1) [1], size: O(n^1) [z] ---------------------------------------- (45) ResultPropagationProof (UPPER BOUND(ID)) Applied inner abstraction using the recently inferred runtime/size bounds where possible. ---------------------------------------- (46) Obligation: Complexity RNTS consisting of the following rules: count(z, z') -{ 11 }-> if(1, 1, 0, 1 + 0 + (1 + 0 + 0), 0, 1 + 0) :|: z = 0, z' = 0, 0 = 0 count(z, z') -{ 11 + z' }-> if(1, 1, 0, 1 + 0 + (1 + 0 + 0), 1 + (z' - 1), 1 + s') :|: s' >= 0, s' <= z' - 1 + 1, z' - 1 >= 0, z = 0, 0 = 0 count(z, z') -{ 11 }-> if(0, 1, r', 1 + 0 + (1 + 0 + r'), 0, 1 + 0) :|: z = 1 + l' + r', l' >= 0, r' >= 0, z' = 0, l' = 0 count(z, z') -{ 11 + z' }-> if(0, 1, r', 1 + 0 + (1 + 0 + r'), 1 + (z' - 1), 1 + s'') :|: s'' >= 0, s'' <= z' - 1 + 1, z = 1 + l' + r', l' >= 0, r' >= 0, z' - 1 >= 0, l' = 0 count(z, z') -{ 11 }-> if(0, 0, r', 1 + l'' + (1 + r1 + r'), 0, 1 + 0) :|: z = 1 + l' + r', l' >= 0, r' >= 0, z' = 0, r >= 0, l' = 1 + l + r, l >= 0, r'' >= 0, l' = 1 + l'' + r'', l'' >= 0, r1 >= 0, l' = 1 + l1 + r1, l1 >= 0 count(z, z') -{ 11 + z' }-> if(0, 0, r', 1 + l'' + (1 + r1 + r'), 1 + (z' - 1), 1 + s1) :|: s1 >= 0, s1 <= z' - 1 + 1, z = 1 + l' + r', l' >= 0, r' >= 0, z' - 1 >= 0, r >= 0, l' = 1 + l + r, l >= 0, r'' >= 0, l' = 1 + l'' + r'', l'' >= 0, r1 >= 0, l' = 1 + l1 + r1, l1 >= 0 if(z, z', z'', z1, z2, z3) -{ 1 }-> z2 :|: z' >= 0, z'' >= 0, z = 1, z2 >= 0, z3 >= 0, z1 >= 0 if(z, z', z'', z1, z2, z3) -{ 1 }-> count(z'', z3) :|: z'' >= 0, z2 >= 0, z3 >= 0, z' = 1, z = 0, z1 >= 0 if(z, z', z'', z1, z2, z3) -{ 1 }-> count(z1, z2) :|: z'' >= 0, z2 >= 0, z3 >= 0, z = 0, z' = 0, z1 >= 0 inc(z) -{ 1 + z }-> 1 + s :|: s >= 0, s <= z - 1 + 1, z - 1 >= 0 inc(z) -{ 1 }-> 1 + 0 :|: z = 0 isEmpty(z) -{ 1 }-> 1 :|: z = 0 isEmpty(z) -{ 1 }-> 0 :|: r >= 0, z = 1 + l + r, l >= 0 left(z) -{ 1 }-> l :|: r >= 0, z = 1 + l + r, l >= 0 left(z) -{ 1 }-> 0 :|: z = 0 nrOfNodes(z) -{ 1 }-> count(z, 0) :|: z >= 0 right(z) -{ 1 }-> r :|: r >= 0, z = 1 + l + r, l >= 0 right(z) -{ 1 }-> 0 :|: z = 0 Function symbols to be analyzed: {count,if}, {nrOfNodes} Previous analysis results are: isEmpty: runtime: O(1) [1], size: O(1) [1] right: runtime: O(1) [1], size: O(n^1) [z] inc: runtime: O(n^1) [1 + z], size: O(n^1) [1 + z] left: runtime: O(1) [1], size: O(n^1) [z] ---------------------------------------- (47) IntTrsBoundProof (UPPER BOUND(ID)) Computed SIZE bound using CoFloCo for: count after applying outer abstraction to obtain an ITS, resulting in: INF with polynomial bound: ? Computed SIZE bound using CoFloCo for: if after applying outer abstraction to obtain an ITS, resulting in: INF with polynomial bound: ? ---------------------------------------- (48) Obligation: Complexity RNTS consisting of the following rules: count(z, z') -{ 11 }-> if(1, 1, 0, 1 + 0 + (1 + 0 + 0), 0, 1 + 0) :|: z = 0, z' = 0, 0 = 0 count(z, z') -{ 11 + z' }-> if(1, 1, 0, 1 + 0 + (1 + 0 + 0), 1 + (z' - 1), 1 + s') :|: s' >= 0, s' <= z' - 1 + 1, z' - 1 >= 0, z = 0, 0 = 0 count(z, z') -{ 11 }-> if(0, 1, r', 1 + 0 + (1 + 0 + r'), 0, 1 + 0) :|: z = 1 + l' + r', l' >= 0, r' >= 0, z' = 0, l' = 0 count(z, z') -{ 11 + z' }-> if(0, 1, r', 1 + 0 + (1 + 0 + r'), 1 + (z' - 1), 1 + s'') :|: s'' >= 0, s'' <= z' - 1 + 1, z = 1 + l' + r', l' >= 0, r' >= 0, z' - 1 >= 0, l' = 0 count(z, z') -{ 11 }-> if(0, 0, r', 1 + l'' + (1 + r1 + r'), 0, 1 + 0) :|: z = 1 + l' + r', l' >= 0, r' >= 0, z' = 0, r >= 0, l' = 1 + l + r, l >= 0, r'' >= 0, l' = 1 + l'' + r'', l'' >= 0, r1 >= 0, l' = 1 + l1 + r1, l1 >= 0 count(z, z') -{ 11 + z' }-> if(0, 0, r', 1 + l'' + (1 + r1 + r'), 1 + (z' - 1), 1 + s1) :|: s1 >= 0, s1 <= z' - 1 + 1, z = 1 + l' + r', l' >= 0, r' >= 0, z' - 1 >= 0, r >= 0, l' = 1 + l + r, l >= 0, r'' >= 0, l' = 1 + l'' + r'', l'' >= 0, r1 >= 0, l' = 1 + l1 + r1, l1 >= 0 if(z, z', z'', z1, z2, z3) -{ 1 }-> z2 :|: z' >= 0, z'' >= 0, z = 1, z2 >= 0, z3 >= 0, z1 >= 0 if(z, z', z'', z1, z2, z3) -{ 1 }-> count(z'', z3) :|: z'' >= 0, z2 >= 0, z3 >= 0, z' = 1, z = 0, z1 >= 0 if(z, z', z'', z1, z2, z3) -{ 1 }-> count(z1, z2) :|: z'' >= 0, z2 >= 0, z3 >= 0, z = 0, z' = 0, z1 >= 0 inc(z) -{ 1 + z }-> 1 + s :|: s >= 0, s <= z - 1 + 1, z - 1 >= 0 inc(z) -{ 1 }-> 1 + 0 :|: z = 0 isEmpty(z) -{ 1 }-> 1 :|: z = 0 isEmpty(z) -{ 1 }-> 0 :|: r >= 0, z = 1 + l + r, l >= 0 left(z) -{ 1 }-> l :|: r >= 0, z = 1 + l + r, l >= 0 left(z) -{ 1 }-> 0 :|: z = 0 nrOfNodes(z) -{ 1 }-> count(z, 0) :|: z >= 0 right(z) -{ 1 }-> r :|: r >= 0, z = 1 + l + r, l >= 0 right(z) -{ 1 }-> 0 :|: z = 0 Function symbols to be analyzed: {count,if}, {nrOfNodes} Previous analysis results are: isEmpty: runtime: O(1) [1], size: O(1) [1] right: runtime: O(1) [1], size: O(n^1) [z] inc: runtime: O(n^1) [1 + z], size: O(n^1) [1 + z] left: runtime: O(1) [1], size: O(n^1) [z] count: runtime: ?, size: INF if: runtime: ?, size: INF ---------------------------------------- (49) IntTrsBoundProof (UPPER BOUND(ID)) Computed RUNTIME bound using CoFloCo for: count after applying outer abstraction to obtain an ITS, resulting in: INF with polynomial bound: ? ---------------------------------------- (50) Obligation: Complexity RNTS consisting of the following rules: count(z, z') -{ 11 }-> if(1, 1, 0, 1 + 0 + (1 + 0 + 0), 0, 1 + 0) :|: z = 0, z' = 0, 0 = 0 count(z, z') -{ 11 + z' }-> if(1, 1, 0, 1 + 0 + (1 + 0 + 0), 1 + (z' - 1), 1 + s') :|: s' >= 0, s' <= z' - 1 + 1, z' - 1 >= 0, z = 0, 0 = 0 count(z, z') -{ 11 }-> if(0, 1, r', 1 + 0 + (1 + 0 + r'), 0, 1 + 0) :|: z = 1 + l' + r', l' >= 0, r' >= 0, z' = 0, l' = 0 count(z, z') -{ 11 + z' }-> if(0, 1, r', 1 + 0 + (1 + 0 + r'), 1 + (z' - 1), 1 + s'') :|: s'' >= 0, s'' <= z' - 1 + 1, z = 1 + l' + r', l' >= 0, r' >= 0, z' - 1 >= 0, l' = 0 count(z, z') -{ 11 }-> if(0, 0, r', 1 + l'' + (1 + r1 + r'), 0, 1 + 0) :|: z = 1 + l' + r', l' >= 0, r' >= 0, z' = 0, r >= 0, l' = 1 + l + r, l >= 0, r'' >= 0, l' = 1 + l'' + r'', l'' >= 0, r1 >= 0, l' = 1 + l1 + r1, l1 >= 0 count(z, z') -{ 11 + z' }-> if(0, 0, r', 1 + l'' + (1 + r1 + r'), 1 + (z' - 1), 1 + s1) :|: s1 >= 0, s1 <= z' - 1 + 1, z = 1 + l' + r', l' >= 0, r' >= 0, z' - 1 >= 0, r >= 0, l' = 1 + l + r, l >= 0, r'' >= 0, l' = 1 + l'' + r'', l'' >= 0, r1 >= 0, l' = 1 + l1 + r1, l1 >= 0 if(z, z', z'', z1, z2, z3) -{ 1 }-> z2 :|: z' >= 0, z'' >= 0, z = 1, z2 >= 0, z3 >= 0, z1 >= 0 if(z, z', z'', z1, z2, z3) -{ 1 }-> count(z'', z3) :|: z'' >= 0, z2 >= 0, z3 >= 0, z' = 1, z = 0, z1 >= 0 if(z, z', z'', z1, z2, z3) -{ 1 }-> count(z1, z2) :|: z'' >= 0, z2 >= 0, z3 >= 0, z = 0, z' = 0, z1 >= 0 inc(z) -{ 1 + z }-> 1 + s :|: s >= 0, s <= z - 1 + 1, z - 1 >= 0 inc(z) -{ 1 }-> 1 + 0 :|: z = 0 isEmpty(z) -{ 1 }-> 1 :|: z = 0 isEmpty(z) -{ 1 }-> 0 :|: r >= 0, z = 1 + l + r, l >= 0 left(z) -{ 1 }-> l :|: r >= 0, z = 1 + l + r, l >= 0 left(z) -{ 1 }-> 0 :|: z = 0 nrOfNodes(z) -{ 1 }-> count(z, 0) :|: z >= 0 right(z) -{ 1 }-> r :|: r >= 0, z = 1 + l + r, l >= 0 right(z) -{ 1 }-> 0 :|: z = 0 Function symbols to be analyzed: {count,if}, {nrOfNodes} Previous analysis results are: isEmpty: runtime: O(1) [1], size: O(1) [1] right: runtime: O(1) [1], size: O(n^1) [z] inc: runtime: O(n^1) [1 + z], size: O(n^1) [1 + z] left: runtime: O(1) [1], size: O(n^1) [z] count: runtime: INF, size: INF if: runtime: ?, size: INF ---------------------------------------- (51) 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 ---------------------------------------- (52) 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: isEmpty(empty) -> true [1] isEmpty(node(l, r)) -> false [1] left(empty) -> empty [1] left(node(l, r)) -> l [1] right(empty) -> empty [1] right(node(l, r)) -> r [1] inc(0) -> s(0) [1] inc(s(x)) -> s(inc(x)) [1] count(n, x) -> if(isEmpty(n), isEmpty(left(n)), right(n), node(left(left(n)), node(right(left(n)), right(n))), x, inc(x)) [1] if(true, b, n, m, x, y) -> x [1] if(false, false, n, m, x, y) -> count(m, x) [1] if(false, true, n, m, x, y) -> count(n, y) [1] nrOfNodes(n) -> count(n, 0) [1] The TRS has the following type information: isEmpty :: empty:node -> true:false empty :: empty:node true :: true:false node :: empty:node -> empty:node -> empty:node false :: true:false left :: empty:node -> empty:node right :: empty:node -> empty:node inc :: 0:s -> 0:s 0 :: 0:s s :: 0:s -> 0:s count :: empty:node -> 0:s -> 0:s if :: true:false -> true:false -> empty:node -> empty:node -> 0:s -> 0:s -> 0:s nrOfNodes :: empty:node -> 0:s Rewrite Strategy: INNERMOST ---------------------------------------- (53) CpxTypedWeightedTrsToRntsProof (UPPER BOUND(ID)) Transformed the TRS into an over-approximating RNTS by (improved) Size Abstraction. The constant constructors are abstracted as follows: empty => 0 true => 1 false => 0 0 => 0 ---------------------------------------- (54) Obligation: Complexity RNTS consisting of the following rules: count(z, z') -{ 1 }-> if(isEmpty(n), isEmpty(left(n)), right(n), 1 + left(left(n)) + (1 + right(left(n)) + right(n)), x, inc(x)) :|: n >= 0, z' = x, z = n, x >= 0 if(z, z', z'', z1, z2, z3) -{ 1 }-> x :|: b >= 0, n >= 0, z2 = x, z'' = n, z = 1, z1 = m, z3 = y, x >= 0, y >= 0, z' = b, m >= 0 if(z, z', z'', z1, z2, z3) -{ 1 }-> count(m, x) :|: n >= 0, z2 = x, z'' = n, z1 = m, z3 = y, x >= 0, y >= 0, z = 0, z' = 0, m >= 0 if(z, z', z'', z1, z2, z3) -{ 1 }-> count(n, y) :|: n >= 0, z2 = x, z'' = n, z1 = m, z3 = y, x >= 0, y >= 0, z' = 1, z = 0, m >= 0 inc(z) -{ 1 }-> 1 + inc(x) :|: x >= 0, z = 1 + x inc(z) -{ 1 }-> 1 + 0 :|: z = 0 isEmpty(z) -{ 1 }-> 1 :|: z = 0 isEmpty(z) -{ 1 }-> 0 :|: r >= 0, z = 1 + l + r, l >= 0 left(z) -{ 1 }-> l :|: r >= 0, z = 1 + l + r, l >= 0 left(z) -{ 1 }-> 0 :|: z = 0 nrOfNodes(z) -{ 1 }-> count(n, 0) :|: n >= 0, z = n right(z) -{ 1 }-> r :|: r >= 0, z = 1 + l + r, l >= 0 right(z) -{ 1 }-> 0 :|: z = 0 Only complete derivations are relevant for the runtime complexity. ---------------------------------------- (55) CpxTrsToCdtProof (UPPER BOUND(ID)) Converted Cpx (relative) TRS with rewrite strategy PARALLEL_INNERMOST to CDT ---------------------------------------- (56) Obligation: Complexity Dependency Tuples Problem Rules: isEmpty(empty) -> true isEmpty(node(z0, z1)) -> false left(empty) -> empty left(node(z0, z1)) -> z0 right(empty) -> empty right(node(z0, z1)) -> z1 inc(0) -> s(0) inc(s(z0)) -> s(inc(z0)) count(z0, z1) -> if(isEmpty(z0), isEmpty(left(z0)), right(z0), node(left(left(z0)), node(right(left(z0)), right(z0))), z1, inc(z1)) if(true, z0, z1, z2, z3, z4) -> z3 if(false, false, z0, z1, z2, z3) -> count(z1, z2) if(false, true, z0, z1, z2, z3) -> count(z0, z3) nrOfNodes(z0) -> count(z0, 0) Tuples: ISEMPTY(empty) -> c ISEMPTY(node(z0, z1)) -> c1 LEFT(empty) -> c2 LEFT(node(z0, z1)) -> c3 RIGHT(empty) -> c4 RIGHT(node(z0, z1)) -> c5 INC(0) -> c6 INC(s(z0)) -> c7(INC(z0)) COUNT(z0, z1) -> c8(IF(isEmpty(z0), isEmpty(left(z0)), right(z0), node(left(left(z0)), node(right(left(z0)), right(z0))), z1, inc(z1)), ISEMPTY(z0)) COUNT(z0, z1) -> c9(IF(isEmpty(z0), isEmpty(left(z0)), right(z0), node(left(left(z0)), node(right(left(z0)), right(z0))), z1, inc(z1)), ISEMPTY(left(z0)), LEFT(z0)) COUNT(z0, z1) -> c10(IF(isEmpty(z0), isEmpty(left(z0)), right(z0), node(left(left(z0)), node(right(left(z0)), right(z0))), z1, inc(z1)), RIGHT(z0)) COUNT(z0, z1) -> c11(IF(isEmpty(z0), isEmpty(left(z0)), right(z0), node(left(left(z0)), node(right(left(z0)), right(z0))), z1, inc(z1)), LEFT(left(z0)), LEFT(z0)) COUNT(z0, z1) -> c12(IF(isEmpty(z0), isEmpty(left(z0)), right(z0), node(left(left(z0)), node(right(left(z0)), right(z0))), z1, inc(z1)), RIGHT(left(z0)), LEFT(z0)) COUNT(z0, z1) -> c13(IF(isEmpty(z0), isEmpty(left(z0)), right(z0), node(left(left(z0)), node(right(left(z0)), right(z0))), z1, inc(z1)), RIGHT(z0)) COUNT(z0, z1) -> c14(IF(isEmpty(z0), isEmpty(left(z0)), right(z0), node(left(left(z0)), node(right(left(z0)), right(z0))), z1, inc(z1)), INC(z1)) IF(true, z0, z1, z2, z3, z4) -> c15 IF(false, false, z0, z1, z2, z3) -> c16(COUNT(z1, z2)) IF(false, true, z0, z1, z2, z3) -> c17(COUNT(z0, z3)) NROFNODES(z0) -> c18(COUNT(z0, 0)) S tuples: ISEMPTY(empty) -> c ISEMPTY(node(z0, z1)) -> c1 LEFT(empty) -> c2 LEFT(node(z0, z1)) -> c3 RIGHT(empty) -> c4 RIGHT(node(z0, z1)) -> c5 INC(0) -> c6 INC(s(z0)) -> c7(INC(z0)) COUNT(z0, z1) -> c8(IF(isEmpty(z0), isEmpty(left(z0)), right(z0), node(left(left(z0)), node(right(left(z0)), right(z0))), z1, inc(z1)), ISEMPTY(z0)) COUNT(z0, z1) -> c9(IF(isEmpty(z0), isEmpty(left(z0)), right(z0), node(left(left(z0)), node(right(left(z0)), right(z0))), z1, inc(z1)), ISEMPTY(left(z0)), LEFT(z0)) COUNT(z0, z1) -> c10(IF(isEmpty(z0), isEmpty(left(z0)), right(z0), node(left(left(z0)), node(right(left(z0)), right(z0))), z1, inc(z1)), RIGHT(z0)) COUNT(z0, z1) -> c11(IF(isEmpty(z0), isEmpty(left(z0)), right(z0), node(left(left(z0)), node(right(left(z0)), right(z0))), z1, inc(z1)), LEFT(left(z0)), LEFT(z0)) COUNT(z0, z1) -> c12(IF(isEmpty(z0), isEmpty(left(z0)), right(z0), node(left(left(z0)), node(right(left(z0)), right(z0))), z1, inc(z1)), RIGHT(left(z0)), LEFT(z0)) COUNT(z0, z1) -> c13(IF(isEmpty(z0), isEmpty(left(z0)), right(z0), node(left(left(z0)), node(right(left(z0)), right(z0))), z1, inc(z1)), RIGHT(z0)) COUNT(z0, z1) -> c14(IF(isEmpty(z0), isEmpty(left(z0)), right(z0), node(left(left(z0)), node(right(left(z0)), right(z0))), z1, inc(z1)), INC(z1)) IF(true, z0, z1, z2, z3, z4) -> c15 IF(false, false, z0, z1, z2, z3) -> c16(COUNT(z1, z2)) IF(false, true, z0, z1, z2, z3) -> c17(COUNT(z0, z3)) NROFNODES(z0) -> c18(COUNT(z0, 0)) K tuples:none Defined Rule Symbols: isEmpty_1, left_1, right_1, inc_1, count_2, if_6, nrOfNodes_1 Defined Pair Symbols: ISEMPTY_1, LEFT_1, RIGHT_1, INC_1, COUNT_2, IF_6, NROFNODES_1 Compound Symbols: c, c1, c2, c3, c4, c5, c6, c7_1, c8_2, c9_3, c10_2, c11_3, c12_3, c13_2, c14_2, c15, c16_1, c17_1, c18_1 ---------------------------------------- (57) CdtLeafRemovalProof (ComplexityIfPolyImplication) Removed 1 leading nodes: NROFNODES(z0) -> c18(COUNT(z0, 0)) Removed 8 trailing nodes: INC(0) -> c6 RIGHT(node(z0, z1)) -> c5 LEFT(node(z0, z1)) -> c3 IF(true, z0, z1, z2, z3, z4) -> c15 LEFT(empty) -> c2 ISEMPTY(node(z0, z1)) -> c1 RIGHT(empty) -> c4 ISEMPTY(empty) -> c ---------------------------------------- (58) Obligation: Complexity Dependency Tuples Problem Rules: isEmpty(empty) -> true isEmpty(node(z0, z1)) -> false left(empty) -> empty left(node(z0, z1)) -> z0 right(empty) -> empty right(node(z0, z1)) -> z1 inc(0) -> s(0) inc(s(z0)) -> s(inc(z0)) count(z0, z1) -> if(isEmpty(z0), isEmpty(left(z0)), right(z0), node(left(left(z0)), node(right(left(z0)), right(z0))), z1, inc(z1)) if(true, z0, z1, z2, z3, z4) -> z3 if(false, false, z0, z1, z2, z3) -> count(z1, z2) if(false, true, z0, z1, z2, z3) -> count(z0, z3) nrOfNodes(z0) -> count(z0, 0) Tuples: INC(s(z0)) -> c7(INC(z0)) COUNT(z0, z1) -> c8(IF(isEmpty(z0), isEmpty(left(z0)), right(z0), node(left(left(z0)), node(right(left(z0)), right(z0))), z1, inc(z1)), ISEMPTY(z0)) COUNT(z0, z1) -> c9(IF(isEmpty(z0), isEmpty(left(z0)), right(z0), node(left(left(z0)), node(right(left(z0)), right(z0))), z1, inc(z1)), ISEMPTY(left(z0)), LEFT(z0)) COUNT(z0, z1) -> c10(IF(isEmpty(z0), isEmpty(left(z0)), right(z0), node(left(left(z0)), node(right(left(z0)), right(z0))), z1, inc(z1)), RIGHT(z0)) COUNT(z0, z1) -> c11(IF(isEmpty(z0), isEmpty(left(z0)), right(z0), node(left(left(z0)), node(right(left(z0)), right(z0))), z1, inc(z1)), LEFT(left(z0)), LEFT(z0)) COUNT(z0, z1) -> c12(IF(isEmpty(z0), isEmpty(left(z0)), right(z0), node(left(left(z0)), node(right(left(z0)), right(z0))), z1, inc(z1)), RIGHT(left(z0)), LEFT(z0)) COUNT(z0, z1) -> c13(IF(isEmpty(z0), isEmpty(left(z0)), right(z0), node(left(left(z0)), node(right(left(z0)), right(z0))), z1, inc(z1)), RIGHT(z0)) COUNT(z0, z1) -> c14(IF(isEmpty(z0), isEmpty(left(z0)), right(z0), node(left(left(z0)), node(right(left(z0)), right(z0))), z1, inc(z1)), INC(z1)) IF(false, false, z0, z1, z2, z3) -> c16(COUNT(z1, z2)) IF(false, true, z0, z1, z2, z3) -> c17(COUNT(z0, z3)) S tuples: INC(s(z0)) -> c7(INC(z0)) COUNT(z0, z1) -> c8(IF(isEmpty(z0), isEmpty(left(z0)), right(z0), node(left(left(z0)), node(right(left(z0)), right(z0))), z1, inc(z1)), ISEMPTY(z0)) COUNT(z0, z1) -> c9(IF(isEmpty(z0), isEmpty(left(z0)), right(z0), node(left(left(z0)), node(right(left(z0)), right(z0))), z1, inc(z1)), ISEMPTY(left(z0)), LEFT(z0)) COUNT(z0, z1) -> c10(IF(isEmpty(z0), isEmpty(left(z0)), right(z0), node(left(left(z0)), node(right(left(z0)), right(z0))), z1, inc(z1)), RIGHT(z0)) COUNT(z0, z1) -> c11(IF(isEmpty(z0), isEmpty(left(z0)), right(z0), node(left(left(z0)), node(right(left(z0)), right(z0))), z1, inc(z1)), LEFT(left(z0)), LEFT(z0)) COUNT(z0, z1) -> c12(IF(isEmpty(z0), isEmpty(left(z0)), right(z0), node(left(left(z0)), node(right(left(z0)), right(z0))), z1, inc(z1)), RIGHT(left(z0)), LEFT(z0)) COUNT(z0, z1) -> c13(IF(isEmpty(z0), isEmpty(left(z0)), right(z0), node(left(left(z0)), node(right(left(z0)), right(z0))), z1, inc(z1)), RIGHT(z0)) COUNT(z0, z1) -> c14(IF(isEmpty(z0), isEmpty(left(z0)), right(z0), node(left(left(z0)), node(right(left(z0)), right(z0))), z1, inc(z1)), INC(z1)) IF(false, false, z0, z1, z2, z3) -> c16(COUNT(z1, z2)) IF(false, true, z0, z1, z2, z3) -> c17(COUNT(z0, z3)) K tuples:none Defined Rule Symbols: isEmpty_1, left_1, right_1, inc_1, count_2, if_6, nrOfNodes_1 Defined Pair Symbols: INC_1, COUNT_2, IF_6 Compound Symbols: c7_1, c8_2, c9_3, c10_2, c11_3, c12_3, c13_2, c14_2, c16_1, c17_1 ---------------------------------------- (59) CdtRhsSimplificationProcessorProof (BOTH BOUNDS(ID, ID)) Removed 9 trailing tuple parts ---------------------------------------- (60) Obligation: Complexity Dependency Tuples Problem Rules: isEmpty(empty) -> true isEmpty(node(z0, z1)) -> false left(empty) -> empty left(node(z0, z1)) -> z0 right(empty) -> empty right(node(z0, z1)) -> z1 inc(0) -> s(0) inc(s(z0)) -> s(inc(z0)) count(z0, z1) -> if(isEmpty(z0), isEmpty(left(z0)), right(z0), node(left(left(z0)), node(right(left(z0)), right(z0))), z1, inc(z1)) if(true, z0, z1, z2, z3, z4) -> z3 if(false, false, z0, z1, z2, z3) -> count(z1, z2) if(false, true, z0, z1, z2, z3) -> count(z0, z3) nrOfNodes(z0) -> count(z0, 0) Tuples: INC(s(z0)) -> c7(INC(z0)) COUNT(z0, z1) -> c14(IF(isEmpty(z0), isEmpty(left(z0)), right(z0), node(left(left(z0)), node(right(left(z0)), right(z0))), z1, inc(z1)), INC(z1)) IF(false, false, z0, z1, z2, z3) -> c16(COUNT(z1, z2)) IF(false, true, z0, z1, z2, z3) -> c17(COUNT(z0, z3)) COUNT(z0, z1) -> c8(IF(isEmpty(z0), isEmpty(left(z0)), right(z0), node(left(left(z0)), node(right(left(z0)), right(z0))), z1, inc(z1))) COUNT(z0, z1) -> c9(IF(isEmpty(z0), isEmpty(left(z0)), right(z0), node(left(left(z0)), node(right(left(z0)), right(z0))), z1, inc(z1))) COUNT(z0, z1) -> c10(IF(isEmpty(z0), isEmpty(left(z0)), right(z0), node(left(left(z0)), node(right(left(z0)), right(z0))), z1, inc(z1))) COUNT(z0, z1) -> c11(IF(isEmpty(z0), isEmpty(left(z0)), right(z0), node(left(left(z0)), node(right(left(z0)), right(z0))), z1, inc(z1))) COUNT(z0, z1) -> c12(IF(isEmpty(z0), isEmpty(left(z0)), right(z0), node(left(left(z0)), node(right(left(z0)), right(z0))), z1, inc(z1))) COUNT(z0, z1) -> c13(IF(isEmpty(z0), isEmpty(left(z0)), right(z0), node(left(left(z0)), node(right(left(z0)), right(z0))), z1, inc(z1))) S tuples: INC(s(z0)) -> c7(INC(z0)) COUNT(z0, z1) -> c14(IF(isEmpty(z0), isEmpty(left(z0)), right(z0), node(left(left(z0)), node(right(left(z0)), right(z0))), z1, inc(z1)), INC(z1)) IF(false, false, z0, z1, z2, z3) -> c16(COUNT(z1, z2)) IF(false, true, z0, z1, z2, z3) -> c17(COUNT(z0, z3)) COUNT(z0, z1) -> c8(IF(isEmpty(z0), isEmpty(left(z0)), right(z0), node(left(left(z0)), node(right(left(z0)), right(z0))), z1, inc(z1))) COUNT(z0, z1) -> c9(IF(isEmpty(z0), isEmpty(left(z0)), right(z0), node(left(left(z0)), node(right(left(z0)), right(z0))), z1, inc(z1))) COUNT(z0, z1) -> c10(IF(isEmpty(z0), isEmpty(left(z0)), right(z0), node(left(left(z0)), node(right(left(z0)), right(z0))), z1, inc(z1))) COUNT(z0, z1) -> c11(IF(isEmpty(z0), isEmpty(left(z0)), right(z0), node(left(left(z0)), node(right(left(z0)), right(z0))), z1, inc(z1))) COUNT(z0, z1) -> c12(IF(isEmpty(z0), isEmpty(left(z0)), right(z0), node(left(left(z0)), node(right(left(z0)), right(z0))), z1, inc(z1))) COUNT(z0, z1) -> c13(IF(isEmpty(z0), isEmpty(left(z0)), right(z0), node(left(left(z0)), node(right(left(z0)), right(z0))), z1, inc(z1))) K tuples:none Defined Rule Symbols: isEmpty_1, left_1, right_1, inc_1, count_2, if_6, nrOfNodes_1 Defined Pair Symbols: INC_1, COUNT_2, IF_6 Compound Symbols: c7_1, c14_2, c16_1, c17_1, c8_1, c9_1, c10_1, c11_1, c12_1, c13_1 ---------------------------------------- (61) CdtUsableRulesProof (BOTH BOUNDS(ID, ID)) The following rules are not usable and were removed: count(z0, z1) -> if(isEmpty(z0), isEmpty(left(z0)), right(z0), node(left(left(z0)), node(right(left(z0)), right(z0))), z1, inc(z1)) if(true, z0, z1, z2, z3, z4) -> z3 if(false, false, z0, z1, z2, z3) -> count(z1, z2) if(false, true, z0, z1, z2, z3) -> count(z0, z3) nrOfNodes(z0) -> count(z0, 0) ---------------------------------------- (62) Obligation: Complexity Dependency Tuples Problem Rules: isEmpty(empty) -> true isEmpty(node(z0, z1)) -> false left(empty) -> empty left(node(z0, z1)) -> z0 right(empty) -> empty right(node(z0, z1)) -> z1 inc(0) -> s(0) inc(s(z0)) -> s(inc(z0)) Tuples: INC(s(z0)) -> c7(INC(z0)) COUNT(z0, z1) -> c14(IF(isEmpty(z0), isEmpty(left(z0)), right(z0), node(left(left(z0)), node(right(left(z0)), right(z0))), z1, inc(z1)), INC(z1)) IF(false, false, z0, z1, z2, z3) -> c16(COUNT(z1, z2)) IF(false, true, z0, z1, z2, z3) -> c17(COUNT(z0, z3)) COUNT(z0, z1) -> c8(IF(isEmpty(z0), isEmpty(left(z0)), right(z0), node(left(left(z0)), node(right(left(z0)), right(z0))), z1, inc(z1))) COUNT(z0, z1) -> c9(IF(isEmpty(z0), isEmpty(left(z0)), right(z0), node(left(left(z0)), node(right(left(z0)), right(z0))), z1, inc(z1))) COUNT(z0, z1) -> c10(IF(isEmpty(z0), isEmpty(left(z0)), right(z0), node(left(left(z0)), node(right(left(z0)), right(z0))), z1, inc(z1))) COUNT(z0, z1) -> c11(IF(isEmpty(z0), isEmpty(left(z0)), right(z0), node(left(left(z0)), node(right(left(z0)), right(z0))), z1, inc(z1))) COUNT(z0, z1) -> c12(IF(isEmpty(z0), isEmpty(left(z0)), right(z0), node(left(left(z0)), node(right(left(z0)), right(z0))), z1, inc(z1))) COUNT(z0, z1) -> c13(IF(isEmpty(z0), isEmpty(left(z0)), right(z0), node(left(left(z0)), node(right(left(z0)), right(z0))), z1, inc(z1))) S tuples: INC(s(z0)) -> c7(INC(z0)) COUNT(z0, z1) -> c14(IF(isEmpty(z0), isEmpty(left(z0)), right(z0), node(left(left(z0)), node(right(left(z0)), right(z0))), z1, inc(z1)), INC(z1)) IF(false, false, z0, z1, z2, z3) -> c16(COUNT(z1, z2)) IF(false, true, z0, z1, z2, z3) -> c17(COUNT(z0, z3)) COUNT(z0, z1) -> c8(IF(isEmpty(z0), isEmpty(left(z0)), right(z0), node(left(left(z0)), node(right(left(z0)), right(z0))), z1, inc(z1))) COUNT(z0, z1) -> c9(IF(isEmpty(z0), isEmpty(left(z0)), right(z0), node(left(left(z0)), node(right(left(z0)), right(z0))), z1, inc(z1))) COUNT(z0, z1) -> c10(IF(isEmpty(z0), isEmpty(left(z0)), right(z0), node(left(left(z0)), node(right(left(z0)), right(z0))), z1, inc(z1))) COUNT(z0, z1) -> c11(IF(isEmpty(z0), isEmpty(left(z0)), right(z0), node(left(left(z0)), node(right(left(z0)), right(z0))), z1, inc(z1))) COUNT(z0, z1) -> c12(IF(isEmpty(z0), isEmpty(left(z0)), right(z0), node(left(left(z0)), node(right(left(z0)), right(z0))), z1, inc(z1))) COUNT(z0, z1) -> c13(IF(isEmpty(z0), isEmpty(left(z0)), right(z0), node(left(left(z0)), node(right(left(z0)), right(z0))), z1, inc(z1))) K tuples:none Defined Rule Symbols: isEmpty_1, left_1, right_1, inc_1 Defined Pair Symbols: INC_1, COUNT_2, IF_6 Compound Symbols: c7_1, c14_2, c16_1, c17_1, c8_1, c9_1, c10_1, c11_1, c12_1, c13_1 ---------------------------------------- (63) CdtNarrowingProof (BOTH BOUNDS(ID, ID)) Use narrowing to replace COUNT(z0, z1) -> c14(IF(isEmpty(z0), isEmpty(left(z0)), right(z0), node(left(left(z0)), node(right(left(z0)), right(z0))), z1, inc(z1)), INC(z1)) by COUNT(x0, 0) -> c14(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0)), INC(0)) COUNT(x0, s(z0)) -> c14(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0))), INC(s(z0))) COUNT(empty, x1) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1)), INC(x1)) COUNT(node(z0, z1), x1) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1)), INC(x1)) COUNT(empty, x1) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1)), INC(x1)) COUNT(node(z0, z1), x1) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1)), INC(x1)) COUNT(empty, x1) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1)), INC(x1)) COUNT(node(z0, z1), x1) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1)), INC(x1)) COUNT(empty, x1) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1)), INC(x1)) COUNT(node(z0, z1), x1) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1)), INC(x1)) COUNT(empty, x1) -> c14(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1)), INC(x1)) COUNT(node(z0, z1), x1) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1)), INC(x1)) COUNT(empty, x1) -> c14(IF(true, isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1)), INC(x1)) COUNT(node(z0, z1), x1) -> c14(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1)), INC(x1)) ---------------------------------------- (64) Obligation: Complexity Dependency Tuples Problem Rules: isEmpty(empty) -> true isEmpty(node(z0, z1)) -> false left(empty) -> empty left(node(z0, z1)) -> z0 right(empty) -> empty right(node(z0, z1)) -> z1 inc(0) -> s(0) inc(s(z0)) -> s(inc(z0)) Tuples: INC(s(z0)) -> c7(INC(z0)) IF(false, false, z0, z1, z2, z3) -> c16(COUNT(z1, z2)) IF(false, true, z0, z1, z2, z3) -> c17(COUNT(z0, z3)) COUNT(z0, z1) -> c8(IF(isEmpty(z0), isEmpty(left(z0)), right(z0), node(left(left(z0)), node(right(left(z0)), right(z0))), z1, inc(z1))) COUNT(z0, z1) -> c9(IF(isEmpty(z0), isEmpty(left(z0)), right(z0), node(left(left(z0)), node(right(left(z0)), right(z0))), z1, inc(z1))) COUNT(z0, z1) -> c10(IF(isEmpty(z0), isEmpty(left(z0)), right(z0), node(left(left(z0)), node(right(left(z0)), right(z0))), z1, inc(z1))) COUNT(z0, z1) -> c11(IF(isEmpty(z0), isEmpty(left(z0)), right(z0), node(left(left(z0)), node(right(left(z0)), right(z0))), z1, inc(z1))) COUNT(z0, z1) -> c12(IF(isEmpty(z0), isEmpty(left(z0)), right(z0), node(left(left(z0)), node(right(left(z0)), right(z0))), z1, inc(z1))) COUNT(z0, z1) -> c13(IF(isEmpty(z0), isEmpty(left(z0)), right(z0), node(left(left(z0)), node(right(left(z0)), right(z0))), z1, inc(z1))) COUNT(x0, 0) -> c14(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0)), INC(0)) COUNT(x0, s(z0)) -> c14(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0))), INC(s(z0))) COUNT(empty, x1) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1)), INC(x1)) COUNT(node(z0, z1), x1) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1)), INC(x1)) COUNT(empty, x1) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1)), INC(x1)) COUNT(node(z0, z1), x1) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1)), INC(x1)) COUNT(empty, x1) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1)), INC(x1)) COUNT(node(z0, z1), x1) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1)), INC(x1)) COUNT(empty, x1) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1)), INC(x1)) COUNT(node(z0, z1), x1) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1)), INC(x1)) COUNT(empty, x1) -> c14(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1)), INC(x1)) COUNT(node(z0, z1), x1) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1)), INC(x1)) COUNT(empty, x1) -> c14(IF(true, isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1)), INC(x1)) COUNT(node(z0, z1), x1) -> c14(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1)), INC(x1)) S tuples: INC(s(z0)) -> c7(INC(z0)) IF(false, false, z0, z1, z2, z3) -> c16(COUNT(z1, z2)) IF(false, true, z0, z1, z2, z3) -> c17(COUNT(z0, z3)) COUNT(z0, z1) -> c8(IF(isEmpty(z0), isEmpty(left(z0)), right(z0), node(left(left(z0)), node(right(left(z0)), right(z0))), z1, inc(z1))) COUNT(z0, z1) -> c9(IF(isEmpty(z0), isEmpty(left(z0)), right(z0), node(left(left(z0)), node(right(left(z0)), right(z0))), z1, inc(z1))) COUNT(z0, z1) -> c10(IF(isEmpty(z0), isEmpty(left(z0)), right(z0), node(left(left(z0)), node(right(left(z0)), right(z0))), z1, inc(z1))) COUNT(z0, z1) -> c11(IF(isEmpty(z0), isEmpty(left(z0)), right(z0), node(left(left(z0)), node(right(left(z0)), right(z0))), z1, inc(z1))) COUNT(z0, z1) -> c12(IF(isEmpty(z0), isEmpty(left(z0)), right(z0), node(left(left(z0)), node(right(left(z0)), right(z0))), z1, inc(z1))) COUNT(z0, z1) -> c13(IF(isEmpty(z0), isEmpty(left(z0)), right(z0), node(left(left(z0)), node(right(left(z0)), right(z0))), z1, inc(z1))) COUNT(x0, 0) -> c14(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0)), INC(0)) COUNT(x0, s(z0)) -> c14(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0))), INC(s(z0))) COUNT(empty, x1) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1)), INC(x1)) COUNT(node(z0, z1), x1) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1)), INC(x1)) COUNT(empty, x1) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1)), INC(x1)) COUNT(node(z0, z1), x1) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1)), INC(x1)) COUNT(empty, x1) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1)), INC(x1)) COUNT(node(z0, z1), x1) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1)), INC(x1)) COUNT(empty, x1) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1)), INC(x1)) COUNT(node(z0, z1), x1) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1)), INC(x1)) COUNT(empty, x1) -> c14(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1)), INC(x1)) COUNT(node(z0, z1), x1) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1)), INC(x1)) COUNT(empty, x1) -> c14(IF(true, isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1)), INC(x1)) COUNT(node(z0, z1), x1) -> c14(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1)), INC(x1)) K tuples:none Defined Rule Symbols: isEmpty_1, left_1, right_1, inc_1 Defined Pair Symbols: INC_1, IF_6, COUNT_2 Compound Symbols: c7_1, c16_1, c17_1, c8_1, c9_1, c10_1, c11_1, c12_1, c13_1, c14_2 ---------------------------------------- (65) CdtRhsSimplificationProcessorProof (BOTH BOUNDS(ID, ID)) Removed 2 trailing tuple parts ---------------------------------------- (66) Obligation: Complexity Dependency Tuples Problem Rules: isEmpty(empty) -> true isEmpty(node(z0, z1)) -> false left(empty) -> empty left(node(z0, z1)) -> z0 right(empty) -> empty right(node(z0, z1)) -> z1 inc(0) -> s(0) inc(s(z0)) -> s(inc(z0)) Tuples: INC(s(z0)) -> c7(INC(z0)) IF(false, false, z0, z1, z2, z3) -> c16(COUNT(z1, z2)) IF(false, true, z0, z1, z2, z3) -> c17(COUNT(z0, z3)) COUNT(z0, z1) -> c8(IF(isEmpty(z0), isEmpty(left(z0)), right(z0), node(left(left(z0)), node(right(left(z0)), right(z0))), z1, inc(z1))) COUNT(z0, z1) -> c9(IF(isEmpty(z0), isEmpty(left(z0)), right(z0), node(left(left(z0)), node(right(left(z0)), right(z0))), z1, inc(z1))) COUNT(z0, z1) -> c10(IF(isEmpty(z0), isEmpty(left(z0)), right(z0), node(left(left(z0)), node(right(left(z0)), right(z0))), z1, inc(z1))) COUNT(z0, z1) -> c11(IF(isEmpty(z0), isEmpty(left(z0)), right(z0), node(left(left(z0)), node(right(left(z0)), right(z0))), z1, inc(z1))) COUNT(z0, z1) -> c12(IF(isEmpty(z0), isEmpty(left(z0)), right(z0), node(left(left(z0)), node(right(left(z0)), right(z0))), z1, inc(z1))) COUNT(z0, z1) -> c13(IF(isEmpty(z0), isEmpty(left(z0)), right(z0), node(left(left(z0)), node(right(left(z0)), right(z0))), z1, inc(z1))) COUNT(x0, s(z0)) -> c14(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0))), INC(s(z0))) COUNT(empty, x1) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1)), INC(x1)) COUNT(node(z0, z1), x1) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1)), INC(x1)) COUNT(empty, x1) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1)), INC(x1)) COUNT(node(z0, z1), x1) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1)), INC(x1)) COUNT(empty, x1) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1)), INC(x1)) COUNT(node(z0, z1), x1) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1)), INC(x1)) COUNT(empty, x1) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1)), INC(x1)) COUNT(node(z0, z1), x1) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1)), INC(x1)) COUNT(empty, x1) -> c14(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1)), INC(x1)) COUNT(node(z0, z1), x1) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1)), INC(x1)) COUNT(node(z0, z1), x1) -> c14(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1)), INC(x1)) COUNT(x0, 0) -> c14(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(empty, x1) -> c14(INC(x1)) S tuples: INC(s(z0)) -> c7(INC(z0)) IF(false, false, z0, z1, z2, z3) -> c16(COUNT(z1, z2)) IF(false, true, z0, z1, z2, z3) -> c17(COUNT(z0, z3)) COUNT(z0, z1) -> c8(IF(isEmpty(z0), isEmpty(left(z0)), right(z0), node(left(left(z0)), node(right(left(z0)), right(z0))), z1, inc(z1))) COUNT(z0, z1) -> c9(IF(isEmpty(z0), isEmpty(left(z0)), right(z0), node(left(left(z0)), node(right(left(z0)), right(z0))), z1, inc(z1))) COUNT(z0, z1) -> c10(IF(isEmpty(z0), isEmpty(left(z0)), right(z0), node(left(left(z0)), node(right(left(z0)), right(z0))), z1, inc(z1))) COUNT(z0, z1) -> c11(IF(isEmpty(z0), isEmpty(left(z0)), right(z0), node(left(left(z0)), node(right(left(z0)), right(z0))), z1, inc(z1))) COUNT(z0, z1) -> c12(IF(isEmpty(z0), isEmpty(left(z0)), right(z0), node(left(left(z0)), node(right(left(z0)), right(z0))), z1, inc(z1))) COUNT(z0, z1) -> c13(IF(isEmpty(z0), isEmpty(left(z0)), right(z0), node(left(left(z0)), node(right(left(z0)), right(z0))), z1, inc(z1))) COUNT(x0, s(z0)) -> c14(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0))), INC(s(z0))) COUNT(empty, x1) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1)), INC(x1)) COUNT(node(z0, z1), x1) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1)), INC(x1)) COUNT(empty, x1) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1)), INC(x1)) COUNT(node(z0, z1), x1) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1)), INC(x1)) COUNT(empty, x1) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1)), INC(x1)) COUNT(node(z0, z1), x1) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1)), INC(x1)) COUNT(empty, x1) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1)), INC(x1)) COUNT(node(z0, z1), x1) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1)), INC(x1)) COUNT(empty, x1) -> c14(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1)), INC(x1)) COUNT(node(z0, z1), x1) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1)), INC(x1)) COUNT(node(z0, z1), x1) -> c14(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1)), INC(x1)) COUNT(x0, 0) -> c14(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(empty, x1) -> c14(INC(x1)) K tuples:none Defined Rule Symbols: isEmpty_1, left_1, right_1, inc_1 Defined Pair Symbols: INC_1, IF_6, COUNT_2 Compound Symbols: c7_1, c16_1, c17_1, c8_1, c9_1, c10_1, c11_1, c12_1, c13_1, c14_2, c14_1 ---------------------------------------- (67) CdtRuleRemovalProof (UPPER BOUND(ADD(n^1))) Found a reduction pair which oriented the following tuples strictly. Hence they can be removed from S. COUNT(empty, x1) -> c14(INC(x1)) We considered the (Usable) Rules:none And the Tuples: INC(s(z0)) -> c7(INC(z0)) IF(false, false, z0, z1, z2, z3) -> c16(COUNT(z1, z2)) IF(false, true, z0, z1, z2, z3) -> c17(COUNT(z0, z3)) COUNT(z0, z1) -> c8(IF(isEmpty(z0), isEmpty(left(z0)), right(z0), node(left(left(z0)), node(right(left(z0)), right(z0))), z1, inc(z1))) COUNT(z0, z1) -> c9(IF(isEmpty(z0), isEmpty(left(z0)), right(z0), node(left(left(z0)), node(right(left(z0)), right(z0))), z1, inc(z1))) COUNT(z0, z1) -> c10(IF(isEmpty(z0), isEmpty(left(z0)), right(z0), node(left(left(z0)), node(right(left(z0)), right(z0))), z1, inc(z1))) COUNT(z0, z1) -> c11(IF(isEmpty(z0), isEmpty(left(z0)), right(z0), node(left(left(z0)), node(right(left(z0)), right(z0))), z1, inc(z1))) COUNT(z0, z1) -> c12(IF(isEmpty(z0), isEmpty(left(z0)), right(z0), node(left(left(z0)), node(right(left(z0)), right(z0))), z1, inc(z1))) COUNT(z0, z1) -> c13(IF(isEmpty(z0), isEmpty(left(z0)), right(z0), node(left(left(z0)), node(right(left(z0)), right(z0))), z1, inc(z1))) COUNT(x0, s(z0)) -> c14(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0))), INC(s(z0))) COUNT(empty, x1) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1)), INC(x1)) COUNT(node(z0, z1), x1) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1)), INC(x1)) COUNT(empty, x1) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1)), INC(x1)) COUNT(node(z0, z1), x1) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1)), INC(x1)) COUNT(empty, x1) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1)), INC(x1)) COUNT(node(z0, z1), x1) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1)), INC(x1)) COUNT(empty, x1) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1)), INC(x1)) COUNT(node(z0, z1), x1) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1)), INC(x1)) COUNT(empty, x1) -> c14(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1)), INC(x1)) COUNT(node(z0, z1), x1) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1)), INC(x1)) COUNT(node(z0, z1), x1) -> c14(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1)), INC(x1)) COUNT(x0, 0) -> c14(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(empty, x1) -> c14(INC(x1)) The order we found is given by the following interpretation: Polynomial interpretation : POL(0) = 0 POL(COUNT(x_1, x_2)) = [1] POL(IF(x_1, x_2, x_3, x_4, x_5, x_6)) = [1] POL(INC(x_1)) = 0 POL(c10(x_1)) = x_1 POL(c11(x_1)) = x_1 POL(c12(x_1)) = x_1 POL(c13(x_1)) = x_1 POL(c14(x_1)) = x_1 POL(c14(x_1, x_2)) = x_1 + x_2 POL(c16(x_1)) = x_1 POL(c17(x_1)) = x_1 POL(c7(x_1)) = x_1 POL(c8(x_1)) = x_1 POL(c9(x_1)) = x_1 POL(empty) = 0 POL(false) = [1] POL(inc(x_1)) = 0 POL(isEmpty(x_1)) = [1] POL(left(x_1)) = [1] POL(node(x_1, x_2)) = 0 POL(right(x_1)) = [1] POL(s(x_1)) = 0 POL(true) = [1] ---------------------------------------- (68) Obligation: Complexity Dependency Tuples Problem Rules: isEmpty(empty) -> true isEmpty(node(z0, z1)) -> false left(empty) -> empty left(node(z0, z1)) -> z0 right(empty) -> empty right(node(z0, z1)) -> z1 inc(0) -> s(0) inc(s(z0)) -> s(inc(z0)) Tuples: INC(s(z0)) -> c7(INC(z0)) IF(false, false, z0, z1, z2, z3) -> c16(COUNT(z1, z2)) IF(false, true, z0, z1, z2, z3) -> c17(COUNT(z0, z3)) COUNT(z0, z1) -> c8(IF(isEmpty(z0), isEmpty(left(z0)), right(z0), node(left(left(z0)), node(right(left(z0)), right(z0))), z1, inc(z1))) COUNT(z0, z1) -> c9(IF(isEmpty(z0), isEmpty(left(z0)), right(z0), node(left(left(z0)), node(right(left(z0)), right(z0))), z1, inc(z1))) COUNT(z0, z1) -> c10(IF(isEmpty(z0), isEmpty(left(z0)), right(z0), node(left(left(z0)), node(right(left(z0)), right(z0))), z1, inc(z1))) COUNT(z0, z1) -> c11(IF(isEmpty(z0), isEmpty(left(z0)), right(z0), node(left(left(z0)), node(right(left(z0)), right(z0))), z1, inc(z1))) COUNT(z0, z1) -> c12(IF(isEmpty(z0), isEmpty(left(z0)), right(z0), node(left(left(z0)), node(right(left(z0)), right(z0))), z1, inc(z1))) COUNT(z0, z1) -> c13(IF(isEmpty(z0), isEmpty(left(z0)), right(z0), node(left(left(z0)), node(right(left(z0)), right(z0))), z1, inc(z1))) COUNT(x0, s(z0)) -> c14(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0))), INC(s(z0))) COUNT(empty, x1) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1)), INC(x1)) COUNT(node(z0, z1), x1) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1)), INC(x1)) COUNT(empty, x1) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1)), INC(x1)) COUNT(node(z0, z1), x1) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1)), INC(x1)) COUNT(empty, x1) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1)), INC(x1)) COUNT(node(z0, z1), x1) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1)), INC(x1)) COUNT(empty, x1) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1)), INC(x1)) COUNT(node(z0, z1), x1) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1)), INC(x1)) COUNT(empty, x1) -> c14(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1)), INC(x1)) COUNT(node(z0, z1), x1) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1)), INC(x1)) COUNT(node(z0, z1), x1) -> c14(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1)), INC(x1)) COUNT(x0, 0) -> c14(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(empty, x1) -> c14(INC(x1)) S tuples: INC(s(z0)) -> c7(INC(z0)) IF(false, false, z0, z1, z2, z3) -> c16(COUNT(z1, z2)) IF(false, true, z0, z1, z2, z3) -> c17(COUNT(z0, z3)) COUNT(z0, z1) -> c8(IF(isEmpty(z0), isEmpty(left(z0)), right(z0), node(left(left(z0)), node(right(left(z0)), right(z0))), z1, inc(z1))) COUNT(z0, z1) -> c9(IF(isEmpty(z0), isEmpty(left(z0)), right(z0), node(left(left(z0)), node(right(left(z0)), right(z0))), z1, inc(z1))) COUNT(z0, z1) -> c10(IF(isEmpty(z0), isEmpty(left(z0)), right(z0), node(left(left(z0)), node(right(left(z0)), right(z0))), z1, inc(z1))) COUNT(z0, z1) -> c11(IF(isEmpty(z0), isEmpty(left(z0)), right(z0), node(left(left(z0)), node(right(left(z0)), right(z0))), z1, inc(z1))) COUNT(z0, z1) -> c12(IF(isEmpty(z0), isEmpty(left(z0)), right(z0), node(left(left(z0)), node(right(left(z0)), right(z0))), z1, inc(z1))) COUNT(z0, z1) -> c13(IF(isEmpty(z0), isEmpty(left(z0)), right(z0), node(left(left(z0)), node(right(left(z0)), right(z0))), z1, inc(z1))) COUNT(x0, s(z0)) -> c14(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0))), INC(s(z0))) COUNT(empty, x1) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1)), INC(x1)) COUNT(node(z0, z1), x1) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1)), INC(x1)) COUNT(empty, x1) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1)), INC(x1)) COUNT(node(z0, z1), x1) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1)), INC(x1)) COUNT(empty, x1) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1)), INC(x1)) COUNT(node(z0, z1), x1) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1)), INC(x1)) COUNT(empty, x1) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1)), INC(x1)) COUNT(node(z0, z1), x1) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1)), INC(x1)) COUNT(empty, x1) -> c14(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1)), INC(x1)) COUNT(node(z0, z1), x1) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1)), INC(x1)) COUNT(node(z0, z1), x1) -> c14(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1)), INC(x1)) COUNT(x0, 0) -> c14(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) K tuples: COUNT(empty, x1) -> c14(INC(x1)) Defined Rule Symbols: isEmpty_1, left_1, right_1, inc_1 Defined Pair Symbols: INC_1, IF_6, COUNT_2 Compound Symbols: c7_1, c16_1, c17_1, c8_1, c9_1, c10_1, c11_1, c12_1, c13_1, c14_2, c14_1 ---------------------------------------- (69) CdtNarrowingProof (BOTH BOUNDS(ID, ID)) Use narrowing to replace COUNT(z0, z1) -> c8(IF(isEmpty(z0), isEmpty(left(z0)), right(z0), node(left(left(z0)), node(right(left(z0)), right(z0))), z1, inc(z1))) by COUNT(x0, 0) -> c8(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(x0, s(z0)) -> c8(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0)))) COUNT(empty, x1) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1))) COUNT(empty, x1) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c8(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c8(IF(true, isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c8(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) ---------------------------------------- (70) Obligation: Complexity Dependency Tuples Problem Rules: isEmpty(empty) -> true isEmpty(node(z0, z1)) -> false left(empty) -> empty left(node(z0, z1)) -> z0 right(empty) -> empty right(node(z0, z1)) -> z1 inc(0) -> s(0) inc(s(z0)) -> s(inc(z0)) Tuples: INC(s(z0)) -> c7(INC(z0)) IF(false, false, z0, z1, z2, z3) -> c16(COUNT(z1, z2)) IF(false, true, z0, z1, z2, z3) -> c17(COUNT(z0, z3)) COUNT(z0, z1) -> c9(IF(isEmpty(z0), isEmpty(left(z0)), right(z0), node(left(left(z0)), node(right(left(z0)), right(z0))), z1, inc(z1))) COUNT(z0, z1) -> c10(IF(isEmpty(z0), isEmpty(left(z0)), right(z0), node(left(left(z0)), node(right(left(z0)), right(z0))), z1, inc(z1))) COUNT(z0, z1) -> c11(IF(isEmpty(z0), isEmpty(left(z0)), right(z0), node(left(left(z0)), node(right(left(z0)), right(z0))), z1, inc(z1))) COUNT(z0, z1) -> c12(IF(isEmpty(z0), isEmpty(left(z0)), right(z0), node(left(left(z0)), node(right(left(z0)), right(z0))), z1, inc(z1))) COUNT(z0, z1) -> c13(IF(isEmpty(z0), isEmpty(left(z0)), right(z0), node(left(left(z0)), node(right(left(z0)), right(z0))), z1, inc(z1))) COUNT(x0, s(z0)) -> c14(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0))), INC(s(z0))) COUNT(empty, x1) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1)), INC(x1)) COUNT(node(z0, z1), x1) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1)), INC(x1)) COUNT(empty, x1) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1)), INC(x1)) COUNT(node(z0, z1), x1) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1)), INC(x1)) COUNT(empty, x1) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1)), INC(x1)) COUNT(node(z0, z1), x1) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1)), INC(x1)) COUNT(empty, x1) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1)), INC(x1)) COUNT(node(z0, z1), x1) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1)), INC(x1)) COUNT(empty, x1) -> c14(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1)), INC(x1)) COUNT(node(z0, z1), x1) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1)), INC(x1)) COUNT(node(z0, z1), x1) -> c14(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1)), INC(x1)) COUNT(x0, 0) -> c14(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(empty, x1) -> c14(INC(x1)) COUNT(x0, 0) -> c8(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(x0, s(z0)) -> c8(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0)))) COUNT(empty, x1) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1))) COUNT(empty, x1) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c8(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c8(IF(true, isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c8(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) S tuples: INC(s(z0)) -> c7(INC(z0)) IF(false, false, z0, z1, z2, z3) -> c16(COUNT(z1, z2)) IF(false, true, z0, z1, z2, z3) -> c17(COUNT(z0, z3)) COUNT(z0, z1) -> c9(IF(isEmpty(z0), isEmpty(left(z0)), right(z0), node(left(left(z0)), node(right(left(z0)), right(z0))), z1, inc(z1))) COUNT(z0, z1) -> c10(IF(isEmpty(z0), isEmpty(left(z0)), right(z0), node(left(left(z0)), node(right(left(z0)), right(z0))), z1, inc(z1))) COUNT(z0, z1) -> c11(IF(isEmpty(z0), isEmpty(left(z0)), right(z0), node(left(left(z0)), node(right(left(z0)), right(z0))), z1, inc(z1))) COUNT(z0, z1) -> c12(IF(isEmpty(z0), isEmpty(left(z0)), right(z0), node(left(left(z0)), node(right(left(z0)), right(z0))), z1, inc(z1))) COUNT(z0, z1) -> c13(IF(isEmpty(z0), isEmpty(left(z0)), right(z0), node(left(left(z0)), node(right(left(z0)), right(z0))), z1, inc(z1))) COUNT(x0, s(z0)) -> c14(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0))), INC(s(z0))) COUNT(empty, x1) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1)), INC(x1)) COUNT(node(z0, z1), x1) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1)), INC(x1)) COUNT(empty, x1) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1)), INC(x1)) COUNT(node(z0, z1), x1) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1)), INC(x1)) COUNT(empty, x1) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1)), INC(x1)) COUNT(node(z0, z1), x1) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1)), INC(x1)) COUNT(empty, x1) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1)), INC(x1)) COUNT(node(z0, z1), x1) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1)), INC(x1)) COUNT(empty, x1) -> c14(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1)), INC(x1)) COUNT(node(z0, z1), x1) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1)), INC(x1)) COUNT(node(z0, z1), x1) -> c14(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1)), INC(x1)) COUNT(x0, 0) -> c14(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(x0, 0) -> c8(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(x0, s(z0)) -> c8(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0)))) COUNT(empty, x1) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1))) COUNT(empty, x1) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c8(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c8(IF(true, isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c8(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) K tuples: COUNT(empty, x1) -> c14(INC(x1)) Defined Rule Symbols: isEmpty_1, left_1, right_1, inc_1 Defined Pair Symbols: INC_1, IF_6, COUNT_2 Compound Symbols: c7_1, c16_1, c17_1, c9_1, c10_1, c11_1, c12_1, c13_1, c14_2, c14_1, c8_1 ---------------------------------------- (71) CdtLeafRemovalProof (BOTH BOUNDS(ID, ID)) Removed 1 trailing nodes: COUNT(empty, x1) -> c8(IF(true, isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) ---------------------------------------- (72) Obligation: Complexity Dependency Tuples Problem Rules: isEmpty(empty) -> true isEmpty(node(z0, z1)) -> false left(empty) -> empty left(node(z0, z1)) -> z0 right(empty) -> empty right(node(z0, z1)) -> z1 inc(0) -> s(0) inc(s(z0)) -> s(inc(z0)) Tuples: INC(s(z0)) -> c7(INC(z0)) IF(false, false, z0, z1, z2, z3) -> c16(COUNT(z1, z2)) IF(false, true, z0, z1, z2, z3) -> c17(COUNT(z0, z3)) COUNT(z0, z1) -> c9(IF(isEmpty(z0), isEmpty(left(z0)), right(z0), node(left(left(z0)), node(right(left(z0)), right(z0))), z1, inc(z1))) COUNT(z0, z1) -> c10(IF(isEmpty(z0), isEmpty(left(z0)), right(z0), node(left(left(z0)), node(right(left(z0)), right(z0))), z1, inc(z1))) COUNT(z0, z1) -> c11(IF(isEmpty(z0), isEmpty(left(z0)), right(z0), node(left(left(z0)), node(right(left(z0)), right(z0))), z1, inc(z1))) COUNT(z0, z1) -> c12(IF(isEmpty(z0), isEmpty(left(z0)), right(z0), node(left(left(z0)), node(right(left(z0)), right(z0))), z1, inc(z1))) COUNT(z0, z1) -> c13(IF(isEmpty(z0), isEmpty(left(z0)), right(z0), node(left(left(z0)), node(right(left(z0)), right(z0))), z1, inc(z1))) COUNT(x0, s(z0)) -> c14(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0))), INC(s(z0))) COUNT(empty, x1) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1)), INC(x1)) COUNT(node(z0, z1), x1) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1)), INC(x1)) COUNT(empty, x1) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1)), INC(x1)) COUNT(node(z0, z1), x1) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1)), INC(x1)) COUNT(empty, x1) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1)), INC(x1)) COUNT(node(z0, z1), x1) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1)), INC(x1)) COUNT(empty, x1) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1)), INC(x1)) COUNT(node(z0, z1), x1) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1)), INC(x1)) COUNT(empty, x1) -> c14(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1)), INC(x1)) COUNT(node(z0, z1), x1) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1)), INC(x1)) COUNT(node(z0, z1), x1) -> c14(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1)), INC(x1)) COUNT(x0, 0) -> c14(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(empty, x1) -> c14(INC(x1)) COUNT(x0, 0) -> c8(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(x0, s(z0)) -> c8(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0)))) COUNT(empty, x1) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1))) COUNT(empty, x1) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c8(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c8(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) S tuples: INC(s(z0)) -> c7(INC(z0)) IF(false, false, z0, z1, z2, z3) -> c16(COUNT(z1, z2)) IF(false, true, z0, z1, z2, z3) -> c17(COUNT(z0, z3)) COUNT(z0, z1) -> c9(IF(isEmpty(z0), isEmpty(left(z0)), right(z0), node(left(left(z0)), node(right(left(z0)), right(z0))), z1, inc(z1))) COUNT(z0, z1) -> c10(IF(isEmpty(z0), isEmpty(left(z0)), right(z0), node(left(left(z0)), node(right(left(z0)), right(z0))), z1, inc(z1))) COUNT(z0, z1) -> c11(IF(isEmpty(z0), isEmpty(left(z0)), right(z0), node(left(left(z0)), node(right(left(z0)), right(z0))), z1, inc(z1))) COUNT(z0, z1) -> c12(IF(isEmpty(z0), isEmpty(left(z0)), right(z0), node(left(left(z0)), node(right(left(z0)), right(z0))), z1, inc(z1))) COUNT(z0, z1) -> c13(IF(isEmpty(z0), isEmpty(left(z0)), right(z0), node(left(left(z0)), node(right(left(z0)), right(z0))), z1, inc(z1))) COUNT(x0, s(z0)) -> c14(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0))), INC(s(z0))) COUNT(empty, x1) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1)), INC(x1)) COUNT(node(z0, z1), x1) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1)), INC(x1)) COUNT(empty, x1) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1)), INC(x1)) COUNT(node(z0, z1), x1) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1)), INC(x1)) COUNT(empty, x1) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1)), INC(x1)) COUNT(node(z0, z1), x1) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1)), INC(x1)) COUNT(empty, x1) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1)), INC(x1)) COUNT(node(z0, z1), x1) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1)), INC(x1)) COUNT(empty, x1) -> c14(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1)), INC(x1)) COUNT(node(z0, z1), x1) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1)), INC(x1)) COUNT(node(z0, z1), x1) -> c14(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1)), INC(x1)) COUNT(x0, 0) -> c14(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(x0, 0) -> c8(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(x0, s(z0)) -> c8(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0)))) COUNT(empty, x1) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1))) COUNT(empty, x1) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c8(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c8(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) K tuples: COUNT(empty, x1) -> c14(INC(x1)) Defined Rule Symbols: isEmpty_1, left_1, right_1, inc_1 Defined Pair Symbols: INC_1, IF_6, COUNT_2 Compound Symbols: c7_1, c16_1, c17_1, c9_1, c10_1, c11_1, c12_1, c13_1, c14_2, c14_1, c8_1 ---------------------------------------- (73) CdtNarrowingProof (BOTH BOUNDS(ID, ID)) Use narrowing to replace COUNT(z0, z1) -> c9(IF(isEmpty(z0), isEmpty(left(z0)), right(z0), node(left(left(z0)), node(right(left(z0)), right(z0))), z1, inc(z1))) by COUNT(x0, 0) -> c9(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(x0, s(z0)) -> c9(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0)))) COUNT(empty, x1) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1))) COUNT(empty, x1) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c9(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c9(IF(true, isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c9(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) ---------------------------------------- (74) Obligation: Complexity Dependency Tuples Problem Rules: isEmpty(empty) -> true isEmpty(node(z0, z1)) -> false left(empty) -> empty left(node(z0, z1)) -> z0 right(empty) -> empty right(node(z0, z1)) -> z1 inc(0) -> s(0) inc(s(z0)) -> s(inc(z0)) Tuples: INC(s(z0)) -> c7(INC(z0)) IF(false, false, z0, z1, z2, z3) -> c16(COUNT(z1, z2)) IF(false, true, z0, z1, z2, z3) -> c17(COUNT(z0, z3)) COUNT(z0, z1) -> c10(IF(isEmpty(z0), isEmpty(left(z0)), right(z0), node(left(left(z0)), node(right(left(z0)), right(z0))), z1, inc(z1))) COUNT(z0, z1) -> c11(IF(isEmpty(z0), isEmpty(left(z0)), right(z0), node(left(left(z0)), node(right(left(z0)), right(z0))), z1, inc(z1))) COUNT(z0, z1) -> c12(IF(isEmpty(z0), isEmpty(left(z0)), right(z0), node(left(left(z0)), node(right(left(z0)), right(z0))), z1, inc(z1))) COUNT(z0, z1) -> c13(IF(isEmpty(z0), isEmpty(left(z0)), right(z0), node(left(left(z0)), node(right(left(z0)), right(z0))), z1, inc(z1))) COUNT(x0, s(z0)) -> c14(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0))), INC(s(z0))) COUNT(empty, x1) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1)), INC(x1)) COUNT(node(z0, z1), x1) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1)), INC(x1)) COUNT(empty, x1) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1)), INC(x1)) COUNT(node(z0, z1), x1) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1)), INC(x1)) COUNT(empty, x1) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1)), INC(x1)) COUNT(node(z0, z1), x1) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1)), INC(x1)) COUNT(empty, x1) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1)), INC(x1)) COUNT(node(z0, z1), x1) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1)), INC(x1)) COUNT(empty, x1) -> c14(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1)), INC(x1)) COUNT(node(z0, z1), x1) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1)), INC(x1)) COUNT(node(z0, z1), x1) -> c14(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1)), INC(x1)) COUNT(x0, 0) -> c14(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(empty, x1) -> c14(INC(x1)) COUNT(x0, 0) -> c8(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(x0, s(z0)) -> c8(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0)))) COUNT(empty, x1) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1))) COUNT(empty, x1) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c8(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c8(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, 0) -> c9(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(x0, s(z0)) -> c9(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0)))) COUNT(empty, x1) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1))) COUNT(empty, x1) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c9(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c9(IF(true, isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c9(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) S tuples: INC(s(z0)) -> c7(INC(z0)) IF(false, false, z0, z1, z2, z3) -> c16(COUNT(z1, z2)) IF(false, true, z0, z1, z2, z3) -> c17(COUNT(z0, z3)) COUNT(z0, z1) -> c10(IF(isEmpty(z0), isEmpty(left(z0)), right(z0), node(left(left(z0)), node(right(left(z0)), right(z0))), z1, inc(z1))) COUNT(z0, z1) -> c11(IF(isEmpty(z0), isEmpty(left(z0)), right(z0), node(left(left(z0)), node(right(left(z0)), right(z0))), z1, inc(z1))) COUNT(z0, z1) -> c12(IF(isEmpty(z0), isEmpty(left(z0)), right(z0), node(left(left(z0)), node(right(left(z0)), right(z0))), z1, inc(z1))) COUNT(z0, z1) -> c13(IF(isEmpty(z0), isEmpty(left(z0)), right(z0), node(left(left(z0)), node(right(left(z0)), right(z0))), z1, inc(z1))) COUNT(x0, s(z0)) -> c14(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0))), INC(s(z0))) COUNT(empty, x1) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1)), INC(x1)) COUNT(node(z0, z1), x1) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1)), INC(x1)) COUNT(empty, x1) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1)), INC(x1)) COUNT(node(z0, z1), x1) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1)), INC(x1)) COUNT(empty, x1) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1)), INC(x1)) COUNT(node(z0, z1), x1) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1)), INC(x1)) COUNT(empty, x1) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1)), INC(x1)) COUNT(node(z0, z1), x1) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1)), INC(x1)) COUNT(empty, x1) -> c14(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1)), INC(x1)) COUNT(node(z0, z1), x1) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1)), INC(x1)) COUNT(node(z0, z1), x1) -> c14(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1)), INC(x1)) COUNT(x0, 0) -> c14(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(x0, 0) -> c8(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(x0, s(z0)) -> c8(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0)))) COUNT(empty, x1) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1))) COUNT(empty, x1) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c8(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c8(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, 0) -> c9(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(x0, s(z0)) -> c9(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0)))) COUNT(empty, x1) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1))) COUNT(empty, x1) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c9(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c9(IF(true, isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c9(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) K tuples: COUNT(empty, x1) -> c14(INC(x1)) Defined Rule Symbols: isEmpty_1, left_1, right_1, inc_1 Defined Pair Symbols: INC_1, IF_6, COUNT_2 Compound Symbols: c7_1, c16_1, c17_1, c10_1, c11_1, c12_1, c13_1, c14_2, c14_1, c8_1, c9_1 ---------------------------------------- (75) CdtLeafRemovalProof (BOTH BOUNDS(ID, ID)) Removed 1 trailing nodes: COUNT(empty, x1) -> c9(IF(true, isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) ---------------------------------------- (76) Obligation: Complexity Dependency Tuples Problem Rules: isEmpty(empty) -> true isEmpty(node(z0, z1)) -> false left(empty) -> empty left(node(z0, z1)) -> z0 right(empty) -> empty right(node(z0, z1)) -> z1 inc(0) -> s(0) inc(s(z0)) -> s(inc(z0)) Tuples: INC(s(z0)) -> c7(INC(z0)) IF(false, false, z0, z1, z2, z3) -> c16(COUNT(z1, z2)) IF(false, true, z0, z1, z2, z3) -> c17(COUNT(z0, z3)) COUNT(z0, z1) -> c10(IF(isEmpty(z0), isEmpty(left(z0)), right(z0), node(left(left(z0)), node(right(left(z0)), right(z0))), z1, inc(z1))) COUNT(z0, z1) -> c11(IF(isEmpty(z0), isEmpty(left(z0)), right(z0), node(left(left(z0)), node(right(left(z0)), right(z0))), z1, inc(z1))) COUNT(z0, z1) -> c12(IF(isEmpty(z0), isEmpty(left(z0)), right(z0), node(left(left(z0)), node(right(left(z0)), right(z0))), z1, inc(z1))) COUNT(z0, z1) -> c13(IF(isEmpty(z0), isEmpty(left(z0)), right(z0), node(left(left(z0)), node(right(left(z0)), right(z0))), z1, inc(z1))) COUNT(x0, s(z0)) -> c14(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0))), INC(s(z0))) COUNT(empty, x1) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1)), INC(x1)) COUNT(node(z0, z1), x1) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1)), INC(x1)) COUNT(empty, x1) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1)), INC(x1)) COUNT(node(z0, z1), x1) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1)), INC(x1)) COUNT(empty, x1) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1)), INC(x1)) COUNT(node(z0, z1), x1) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1)), INC(x1)) COUNT(empty, x1) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1)), INC(x1)) COUNT(node(z0, z1), x1) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1)), INC(x1)) COUNT(empty, x1) -> c14(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1)), INC(x1)) COUNT(node(z0, z1), x1) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1)), INC(x1)) COUNT(node(z0, z1), x1) -> c14(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1)), INC(x1)) COUNT(x0, 0) -> c14(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(empty, x1) -> c14(INC(x1)) COUNT(x0, 0) -> c8(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(x0, s(z0)) -> c8(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0)))) COUNT(empty, x1) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1))) COUNT(empty, x1) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c8(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c8(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, 0) -> c9(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(x0, s(z0)) -> c9(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0)))) COUNT(empty, x1) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1))) COUNT(empty, x1) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c9(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c9(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) S tuples: INC(s(z0)) -> c7(INC(z0)) IF(false, false, z0, z1, z2, z3) -> c16(COUNT(z1, z2)) IF(false, true, z0, z1, z2, z3) -> c17(COUNT(z0, z3)) COUNT(z0, z1) -> c10(IF(isEmpty(z0), isEmpty(left(z0)), right(z0), node(left(left(z0)), node(right(left(z0)), right(z0))), z1, inc(z1))) COUNT(z0, z1) -> c11(IF(isEmpty(z0), isEmpty(left(z0)), right(z0), node(left(left(z0)), node(right(left(z0)), right(z0))), z1, inc(z1))) COUNT(z0, z1) -> c12(IF(isEmpty(z0), isEmpty(left(z0)), right(z0), node(left(left(z0)), node(right(left(z0)), right(z0))), z1, inc(z1))) COUNT(z0, z1) -> c13(IF(isEmpty(z0), isEmpty(left(z0)), right(z0), node(left(left(z0)), node(right(left(z0)), right(z0))), z1, inc(z1))) COUNT(x0, s(z0)) -> c14(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0))), INC(s(z0))) COUNT(empty, x1) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1)), INC(x1)) COUNT(node(z0, z1), x1) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1)), INC(x1)) COUNT(empty, x1) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1)), INC(x1)) COUNT(node(z0, z1), x1) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1)), INC(x1)) COUNT(empty, x1) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1)), INC(x1)) COUNT(node(z0, z1), x1) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1)), INC(x1)) COUNT(empty, x1) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1)), INC(x1)) COUNT(node(z0, z1), x1) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1)), INC(x1)) COUNT(empty, x1) -> c14(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1)), INC(x1)) COUNT(node(z0, z1), x1) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1)), INC(x1)) COUNT(node(z0, z1), x1) -> c14(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1)), INC(x1)) COUNT(x0, 0) -> c14(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(x0, 0) -> c8(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(x0, s(z0)) -> c8(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0)))) COUNT(empty, x1) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1))) COUNT(empty, x1) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c8(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c8(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, 0) -> c9(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(x0, s(z0)) -> c9(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0)))) COUNT(empty, x1) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1))) COUNT(empty, x1) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c9(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c9(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) K tuples: COUNT(empty, x1) -> c14(INC(x1)) Defined Rule Symbols: isEmpty_1, left_1, right_1, inc_1 Defined Pair Symbols: INC_1, IF_6, COUNT_2 Compound Symbols: c7_1, c16_1, c17_1, c10_1, c11_1, c12_1, c13_1, c14_2, c14_1, c8_1, c9_1 ---------------------------------------- (77) CdtNarrowingProof (BOTH BOUNDS(ID, ID)) Use narrowing to replace COUNT(z0, z1) -> c10(IF(isEmpty(z0), isEmpty(left(z0)), right(z0), node(left(left(z0)), node(right(left(z0)), right(z0))), z1, inc(z1))) by COUNT(x0, 0) -> c10(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(x0, s(z0)) -> c10(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0)))) COUNT(empty, x1) -> c10(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1))) COUNT(empty, x1) -> c10(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c10(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c10(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c10(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c10(IF(true, isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) ---------------------------------------- (78) Obligation: Complexity Dependency Tuples Problem Rules: isEmpty(empty) -> true isEmpty(node(z0, z1)) -> false left(empty) -> empty left(node(z0, z1)) -> z0 right(empty) -> empty right(node(z0, z1)) -> z1 inc(0) -> s(0) inc(s(z0)) -> s(inc(z0)) Tuples: INC(s(z0)) -> c7(INC(z0)) IF(false, false, z0, z1, z2, z3) -> c16(COUNT(z1, z2)) IF(false, true, z0, z1, z2, z3) -> c17(COUNT(z0, z3)) COUNT(z0, z1) -> c11(IF(isEmpty(z0), isEmpty(left(z0)), right(z0), node(left(left(z0)), node(right(left(z0)), right(z0))), z1, inc(z1))) COUNT(z0, z1) -> c12(IF(isEmpty(z0), isEmpty(left(z0)), right(z0), node(left(left(z0)), node(right(left(z0)), right(z0))), z1, inc(z1))) COUNT(z0, z1) -> c13(IF(isEmpty(z0), isEmpty(left(z0)), right(z0), node(left(left(z0)), node(right(left(z0)), right(z0))), z1, inc(z1))) COUNT(x0, s(z0)) -> c14(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0))), INC(s(z0))) COUNT(empty, x1) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1)), INC(x1)) COUNT(node(z0, z1), x1) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1)), INC(x1)) COUNT(empty, x1) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1)), INC(x1)) COUNT(node(z0, z1), x1) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1)), INC(x1)) COUNT(empty, x1) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1)), INC(x1)) COUNT(node(z0, z1), x1) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1)), INC(x1)) COUNT(empty, x1) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1)), INC(x1)) COUNT(node(z0, z1), x1) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1)), INC(x1)) COUNT(empty, x1) -> c14(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1)), INC(x1)) COUNT(node(z0, z1), x1) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1)), INC(x1)) COUNT(node(z0, z1), x1) -> c14(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1)), INC(x1)) COUNT(x0, 0) -> c14(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(empty, x1) -> c14(INC(x1)) COUNT(x0, 0) -> c8(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(x0, s(z0)) -> c8(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0)))) COUNT(empty, x1) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1))) COUNT(empty, x1) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c8(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c8(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, 0) -> c9(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(x0, s(z0)) -> c9(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0)))) COUNT(empty, x1) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1))) COUNT(empty, x1) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c9(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c9(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, 0) -> c10(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(x0, s(z0)) -> c10(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0)))) COUNT(empty, x1) -> c10(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1))) COUNT(empty, x1) -> c10(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c10(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c10(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c10(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c10(IF(true, isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) S tuples: INC(s(z0)) -> c7(INC(z0)) IF(false, false, z0, z1, z2, z3) -> c16(COUNT(z1, z2)) IF(false, true, z0, z1, z2, z3) -> c17(COUNT(z0, z3)) COUNT(z0, z1) -> c11(IF(isEmpty(z0), isEmpty(left(z0)), right(z0), node(left(left(z0)), node(right(left(z0)), right(z0))), z1, inc(z1))) COUNT(z0, z1) -> c12(IF(isEmpty(z0), isEmpty(left(z0)), right(z0), node(left(left(z0)), node(right(left(z0)), right(z0))), z1, inc(z1))) COUNT(z0, z1) -> c13(IF(isEmpty(z0), isEmpty(left(z0)), right(z0), node(left(left(z0)), node(right(left(z0)), right(z0))), z1, inc(z1))) COUNT(x0, s(z0)) -> c14(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0))), INC(s(z0))) COUNT(empty, x1) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1)), INC(x1)) COUNT(node(z0, z1), x1) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1)), INC(x1)) COUNT(empty, x1) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1)), INC(x1)) COUNT(node(z0, z1), x1) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1)), INC(x1)) COUNT(empty, x1) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1)), INC(x1)) COUNT(node(z0, z1), x1) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1)), INC(x1)) COUNT(empty, x1) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1)), INC(x1)) COUNT(node(z0, z1), x1) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1)), INC(x1)) COUNT(empty, x1) -> c14(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1)), INC(x1)) COUNT(node(z0, z1), x1) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1)), INC(x1)) COUNT(node(z0, z1), x1) -> c14(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1)), INC(x1)) COUNT(x0, 0) -> c14(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(x0, 0) -> c8(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(x0, s(z0)) -> c8(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0)))) COUNT(empty, x1) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1))) COUNT(empty, x1) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c8(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c8(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, 0) -> c9(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(x0, s(z0)) -> c9(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0)))) COUNT(empty, x1) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1))) COUNT(empty, x1) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c9(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c9(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, 0) -> c10(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(x0, s(z0)) -> c10(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0)))) COUNT(empty, x1) -> c10(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1))) COUNT(empty, x1) -> c10(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c10(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c10(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c10(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c10(IF(true, isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) K tuples: COUNT(empty, x1) -> c14(INC(x1)) Defined Rule Symbols: isEmpty_1, left_1, right_1, inc_1 Defined Pair Symbols: INC_1, IF_6, COUNT_2 Compound Symbols: c7_1, c16_1, c17_1, c11_1, c12_1, c13_1, c14_2, c14_1, c8_1, c9_1, c10_1 ---------------------------------------- (79) CdtLeafRemovalProof (BOTH BOUNDS(ID, ID)) Removed 1 trailing nodes: COUNT(empty, x1) -> c10(IF(true, isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) ---------------------------------------- (80) Obligation: Complexity Dependency Tuples Problem Rules: isEmpty(empty) -> true isEmpty(node(z0, z1)) -> false left(empty) -> empty left(node(z0, z1)) -> z0 right(empty) -> empty right(node(z0, z1)) -> z1 inc(0) -> s(0) inc(s(z0)) -> s(inc(z0)) Tuples: INC(s(z0)) -> c7(INC(z0)) IF(false, false, z0, z1, z2, z3) -> c16(COUNT(z1, z2)) IF(false, true, z0, z1, z2, z3) -> c17(COUNT(z0, z3)) COUNT(z0, z1) -> c11(IF(isEmpty(z0), isEmpty(left(z0)), right(z0), node(left(left(z0)), node(right(left(z0)), right(z0))), z1, inc(z1))) COUNT(z0, z1) -> c12(IF(isEmpty(z0), isEmpty(left(z0)), right(z0), node(left(left(z0)), node(right(left(z0)), right(z0))), z1, inc(z1))) COUNT(z0, z1) -> c13(IF(isEmpty(z0), isEmpty(left(z0)), right(z0), node(left(left(z0)), node(right(left(z0)), right(z0))), z1, inc(z1))) COUNT(x0, s(z0)) -> c14(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0))), INC(s(z0))) COUNT(empty, x1) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1)), INC(x1)) COUNT(node(z0, z1), x1) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1)), INC(x1)) COUNT(empty, x1) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1)), INC(x1)) COUNT(node(z0, z1), x1) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1)), INC(x1)) COUNT(empty, x1) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1)), INC(x1)) COUNT(node(z0, z1), x1) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1)), INC(x1)) COUNT(empty, x1) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1)), INC(x1)) COUNT(node(z0, z1), x1) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1)), INC(x1)) COUNT(empty, x1) -> c14(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1)), INC(x1)) COUNT(node(z0, z1), x1) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1)), INC(x1)) COUNT(node(z0, z1), x1) -> c14(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1)), INC(x1)) COUNT(x0, 0) -> c14(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(empty, x1) -> c14(INC(x1)) COUNT(x0, 0) -> c8(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(x0, s(z0)) -> c8(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0)))) COUNT(empty, x1) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1))) COUNT(empty, x1) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c8(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c8(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, 0) -> c9(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(x0, s(z0)) -> c9(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0)))) COUNT(empty, x1) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1))) COUNT(empty, x1) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c9(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c9(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, 0) -> c10(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(x0, s(z0)) -> c10(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0)))) COUNT(empty, x1) -> c10(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1))) COUNT(empty, x1) -> c10(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c10(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c10(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c10(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) S tuples: INC(s(z0)) -> c7(INC(z0)) IF(false, false, z0, z1, z2, z3) -> c16(COUNT(z1, z2)) IF(false, true, z0, z1, z2, z3) -> c17(COUNT(z0, z3)) COUNT(z0, z1) -> c11(IF(isEmpty(z0), isEmpty(left(z0)), right(z0), node(left(left(z0)), node(right(left(z0)), right(z0))), z1, inc(z1))) COUNT(z0, z1) -> c12(IF(isEmpty(z0), isEmpty(left(z0)), right(z0), node(left(left(z0)), node(right(left(z0)), right(z0))), z1, inc(z1))) COUNT(z0, z1) -> c13(IF(isEmpty(z0), isEmpty(left(z0)), right(z0), node(left(left(z0)), node(right(left(z0)), right(z0))), z1, inc(z1))) COUNT(x0, s(z0)) -> c14(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0))), INC(s(z0))) COUNT(empty, x1) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1)), INC(x1)) COUNT(node(z0, z1), x1) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1)), INC(x1)) COUNT(empty, x1) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1)), INC(x1)) COUNT(node(z0, z1), x1) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1)), INC(x1)) COUNT(empty, x1) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1)), INC(x1)) COUNT(node(z0, z1), x1) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1)), INC(x1)) COUNT(empty, x1) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1)), INC(x1)) COUNT(node(z0, z1), x1) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1)), INC(x1)) COUNT(empty, x1) -> c14(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1)), INC(x1)) COUNT(node(z0, z1), x1) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1)), INC(x1)) COUNT(node(z0, z1), x1) -> c14(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1)), INC(x1)) COUNT(x0, 0) -> c14(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(x0, 0) -> c8(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(x0, s(z0)) -> c8(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0)))) COUNT(empty, x1) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1))) COUNT(empty, x1) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c8(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c8(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, 0) -> c9(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(x0, s(z0)) -> c9(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0)))) COUNT(empty, x1) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1))) COUNT(empty, x1) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c9(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c9(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, 0) -> c10(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(x0, s(z0)) -> c10(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0)))) COUNT(empty, x1) -> c10(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1))) COUNT(empty, x1) -> c10(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c10(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c10(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c10(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) K tuples: COUNT(empty, x1) -> c14(INC(x1)) Defined Rule Symbols: isEmpty_1, left_1, right_1, inc_1 Defined Pair Symbols: INC_1, IF_6, COUNT_2 Compound Symbols: c7_1, c16_1, c17_1, c11_1, c12_1, c13_1, c14_2, c14_1, c8_1, c9_1, c10_1 ---------------------------------------- (81) CdtNarrowingProof (BOTH BOUNDS(ID, ID)) Use narrowing to replace COUNT(z0, z1) -> c11(IF(isEmpty(z0), isEmpty(left(z0)), right(z0), node(left(left(z0)), node(right(left(z0)), right(z0))), z1, inc(z1))) by COUNT(x0, 0) -> c11(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(x0, s(z0)) -> c11(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0)))) COUNT(empty, x1) -> c11(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1))) COUNT(empty, x1) -> c11(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c11(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c11(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c11(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c11(IF(true, isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) ---------------------------------------- (82) Obligation: Complexity Dependency Tuples Problem Rules: isEmpty(empty) -> true isEmpty(node(z0, z1)) -> false left(empty) -> empty left(node(z0, z1)) -> z0 right(empty) -> empty right(node(z0, z1)) -> z1 inc(0) -> s(0) inc(s(z0)) -> s(inc(z0)) Tuples: INC(s(z0)) -> c7(INC(z0)) IF(false, false, z0, z1, z2, z3) -> c16(COUNT(z1, z2)) IF(false, true, z0, z1, z2, z3) -> c17(COUNT(z0, z3)) COUNT(z0, z1) -> c12(IF(isEmpty(z0), isEmpty(left(z0)), right(z0), node(left(left(z0)), node(right(left(z0)), right(z0))), z1, inc(z1))) COUNT(z0, z1) -> c13(IF(isEmpty(z0), isEmpty(left(z0)), right(z0), node(left(left(z0)), node(right(left(z0)), right(z0))), z1, inc(z1))) COUNT(x0, s(z0)) -> c14(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0))), INC(s(z0))) COUNT(empty, x1) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1)), INC(x1)) COUNT(node(z0, z1), x1) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1)), INC(x1)) COUNT(empty, x1) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1)), INC(x1)) COUNT(node(z0, z1), x1) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1)), INC(x1)) COUNT(empty, x1) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1)), INC(x1)) COUNT(node(z0, z1), x1) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1)), INC(x1)) COUNT(empty, x1) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1)), INC(x1)) COUNT(node(z0, z1), x1) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1)), INC(x1)) COUNT(empty, x1) -> c14(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1)), INC(x1)) COUNT(node(z0, z1), x1) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1)), INC(x1)) COUNT(node(z0, z1), x1) -> c14(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1)), INC(x1)) COUNT(x0, 0) -> c14(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(empty, x1) -> c14(INC(x1)) COUNT(x0, 0) -> c8(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(x0, s(z0)) -> c8(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0)))) COUNT(empty, x1) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1))) COUNT(empty, x1) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c8(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c8(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, 0) -> c9(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(x0, s(z0)) -> c9(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0)))) COUNT(empty, x1) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1))) COUNT(empty, x1) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c9(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c9(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, 0) -> c10(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(x0, s(z0)) -> c10(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0)))) COUNT(empty, x1) -> c10(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1))) COUNT(empty, x1) -> c10(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c10(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c10(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c10(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, 0) -> c11(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(x0, s(z0)) -> c11(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0)))) COUNT(empty, x1) -> c11(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1))) COUNT(empty, x1) -> c11(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c11(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c11(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c11(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c11(IF(true, isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) S tuples: INC(s(z0)) -> c7(INC(z0)) IF(false, false, z0, z1, z2, z3) -> c16(COUNT(z1, z2)) IF(false, true, z0, z1, z2, z3) -> c17(COUNT(z0, z3)) COUNT(z0, z1) -> c12(IF(isEmpty(z0), isEmpty(left(z0)), right(z0), node(left(left(z0)), node(right(left(z0)), right(z0))), z1, inc(z1))) COUNT(z0, z1) -> c13(IF(isEmpty(z0), isEmpty(left(z0)), right(z0), node(left(left(z0)), node(right(left(z0)), right(z0))), z1, inc(z1))) COUNT(x0, s(z0)) -> c14(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0))), INC(s(z0))) COUNT(empty, x1) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1)), INC(x1)) COUNT(node(z0, z1), x1) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1)), INC(x1)) COUNT(empty, x1) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1)), INC(x1)) COUNT(node(z0, z1), x1) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1)), INC(x1)) COUNT(empty, x1) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1)), INC(x1)) COUNT(node(z0, z1), x1) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1)), INC(x1)) COUNT(empty, x1) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1)), INC(x1)) COUNT(node(z0, z1), x1) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1)), INC(x1)) COUNT(empty, x1) -> c14(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1)), INC(x1)) COUNT(node(z0, z1), x1) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1)), INC(x1)) COUNT(node(z0, z1), x1) -> c14(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1)), INC(x1)) COUNT(x0, 0) -> c14(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(x0, 0) -> c8(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(x0, s(z0)) -> c8(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0)))) COUNT(empty, x1) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1))) COUNT(empty, x1) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c8(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c8(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, 0) -> c9(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(x0, s(z0)) -> c9(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0)))) COUNT(empty, x1) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1))) COUNT(empty, x1) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c9(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c9(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, 0) -> c10(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(x0, s(z0)) -> c10(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0)))) COUNT(empty, x1) -> c10(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1))) COUNT(empty, x1) -> c10(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c10(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c10(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c10(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, 0) -> c11(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(x0, s(z0)) -> c11(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0)))) COUNT(empty, x1) -> c11(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1))) COUNT(empty, x1) -> c11(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c11(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c11(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c11(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c11(IF(true, isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) K tuples: COUNT(empty, x1) -> c14(INC(x1)) Defined Rule Symbols: isEmpty_1, left_1, right_1, inc_1 Defined Pair Symbols: INC_1, IF_6, COUNT_2 Compound Symbols: c7_1, c16_1, c17_1, c12_1, c13_1, c14_2, c14_1, c8_1, c9_1, c10_1, c11_1 ---------------------------------------- (83) CdtLeafRemovalProof (BOTH BOUNDS(ID, ID)) Removed 1 trailing nodes: COUNT(empty, x1) -> c11(IF(true, isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) ---------------------------------------- (84) Obligation: Complexity Dependency Tuples Problem Rules: isEmpty(empty) -> true isEmpty(node(z0, z1)) -> false left(empty) -> empty left(node(z0, z1)) -> z0 right(empty) -> empty right(node(z0, z1)) -> z1 inc(0) -> s(0) inc(s(z0)) -> s(inc(z0)) Tuples: INC(s(z0)) -> c7(INC(z0)) IF(false, false, z0, z1, z2, z3) -> c16(COUNT(z1, z2)) IF(false, true, z0, z1, z2, z3) -> c17(COUNT(z0, z3)) COUNT(z0, z1) -> c12(IF(isEmpty(z0), isEmpty(left(z0)), right(z0), node(left(left(z0)), node(right(left(z0)), right(z0))), z1, inc(z1))) COUNT(z0, z1) -> c13(IF(isEmpty(z0), isEmpty(left(z0)), right(z0), node(left(left(z0)), node(right(left(z0)), right(z0))), z1, inc(z1))) COUNT(x0, s(z0)) -> c14(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0))), INC(s(z0))) COUNT(empty, x1) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1)), INC(x1)) COUNT(node(z0, z1), x1) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1)), INC(x1)) COUNT(empty, x1) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1)), INC(x1)) COUNT(node(z0, z1), x1) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1)), INC(x1)) COUNT(empty, x1) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1)), INC(x1)) COUNT(node(z0, z1), x1) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1)), INC(x1)) COUNT(empty, x1) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1)), INC(x1)) COUNT(node(z0, z1), x1) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1)), INC(x1)) COUNT(empty, x1) -> c14(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1)), INC(x1)) COUNT(node(z0, z1), x1) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1)), INC(x1)) COUNT(node(z0, z1), x1) -> c14(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1)), INC(x1)) COUNT(x0, 0) -> c14(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(empty, x1) -> c14(INC(x1)) COUNT(x0, 0) -> c8(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(x0, s(z0)) -> c8(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0)))) COUNT(empty, x1) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1))) COUNT(empty, x1) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c8(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c8(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, 0) -> c9(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(x0, s(z0)) -> c9(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0)))) COUNT(empty, x1) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1))) COUNT(empty, x1) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c9(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c9(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, 0) -> c10(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(x0, s(z0)) -> c10(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0)))) COUNT(empty, x1) -> c10(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1))) COUNT(empty, x1) -> c10(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c10(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c10(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c10(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, 0) -> c11(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(x0, s(z0)) -> c11(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0)))) COUNT(empty, x1) -> c11(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1))) COUNT(empty, x1) -> c11(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c11(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c11(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c11(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) S tuples: INC(s(z0)) -> c7(INC(z0)) IF(false, false, z0, z1, z2, z3) -> c16(COUNT(z1, z2)) IF(false, true, z0, z1, z2, z3) -> c17(COUNT(z0, z3)) COUNT(z0, z1) -> c12(IF(isEmpty(z0), isEmpty(left(z0)), right(z0), node(left(left(z0)), node(right(left(z0)), right(z0))), z1, inc(z1))) COUNT(z0, z1) -> c13(IF(isEmpty(z0), isEmpty(left(z0)), right(z0), node(left(left(z0)), node(right(left(z0)), right(z0))), z1, inc(z1))) COUNT(x0, s(z0)) -> c14(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0))), INC(s(z0))) COUNT(empty, x1) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1)), INC(x1)) COUNT(node(z0, z1), x1) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1)), INC(x1)) COUNT(empty, x1) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1)), INC(x1)) COUNT(node(z0, z1), x1) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1)), INC(x1)) COUNT(empty, x1) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1)), INC(x1)) COUNT(node(z0, z1), x1) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1)), INC(x1)) COUNT(empty, x1) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1)), INC(x1)) COUNT(node(z0, z1), x1) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1)), INC(x1)) COUNT(empty, x1) -> c14(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1)), INC(x1)) COUNT(node(z0, z1), x1) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1)), INC(x1)) COUNT(node(z0, z1), x1) -> c14(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1)), INC(x1)) COUNT(x0, 0) -> c14(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(x0, 0) -> c8(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(x0, s(z0)) -> c8(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0)))) COUNT(empty, x1) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1))) COUNT(empty, x1) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c8(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c8(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, 0) -> c9(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(x0, s(z0)) -> c9(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0)))) COUNT(empty, x1) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1))) COUNT(empty, x1) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c9(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c9(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, 0) -> c10(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(x0, s(z0)) -> c10(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0)))) COUNT(empty, x1) -> c10(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1))) COUNT(empty, x1) -> c10(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c10(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c10(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c10(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, 0) -> c11(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(x0, s(z0)) -> c11(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0)))) COUNT(empty, x1) -> c11(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1))) COUNT(empty, x1) -> c11(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c11(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c11(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c11(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) K tuples: COUNT(empty, x1) -> c14(INC(x1)) Defined Rule Symbols: isEmpty_1, left_1, right_1, inc_1 Defined Pair Symbols: INC_1, IF_6, COUNT_2 Compound Symbols: c7_1, c16_1, c17_1, c12_1, c13_1, c14_2, c14_1, c8_1, c9_1, c10_1, c11_1 ---------------------------------------- (85) CdtNarrowingProof (BOTH BOUNDS(ID, ID)) Use narrowing to replace COUNT(z0, z1) -> c12(IF(isEmpty(z0), isEmpty(left(z0)), right(z0), node(left(left(z0)), node(right(left(z0)), right(z0))), z1, inc(z1))) by COUNT(x0, 0) -> c12(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(x0, s(z0)) -> c12(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0)))) COUNT(empty, x1) -> c12(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1))) COUNT(empty, x1) -> c12(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c12(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c12(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c12(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c12(IF(true, isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) ---------------------------------------- (86) Obligation: Complexity Dependency Tuples Problem Rules: isEmpty(empty) -> true isEmpty(node(z0, z1)) -> false left(empty) -> empty left(node(z0, z1)) -> z0 right(empty) -> empty right(node(z0, z1)) -> z1 inc(0) -> s(0) inc(s(z0)) -> s(inc(z0)) Tuples: INC(s(z0)) -> c7(INC(z0)) IF(false, false, z0, z1, z2, z3) -> c16(COUNT(z1, z2)) IF(false, true, z0, z1, z2, z3) -> c17(COUNT(z0, z3)) COUNT(z0, z1) -> c13(IF(isEmpty(z0), isEmpty(left(z0)), right(z0), node(left(left(z0)), node(right(left(z0)), right(z0))), z1, inc(z1))) COUNT(x0, s(z0)) -> c14(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0))), INC(s(z0))) COUNT(empty, x1) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1)), INC(x1)) COUNT(node(z0, z1), x1) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1)), INC(x1)) COUNT(empty, x1) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1)), INC(x1)) COUNT(node(z0, z1), x1) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1)), INC(x1)) COUNT(empty, x1) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1)), INC(x1)) COUNT(node(z0, z1), x1) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1)), INC(x1)) COUNT(empty, x1) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1)), INC(x1)) COUNT(node(z0, z1), x1) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1)), INC(x1)) COUNT(empty, x1) -> c14(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1)), INC(x1)) COUNT(node(z0, z1), x1) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1)), INC(x1)) COUNT(node(z0, z1), x1) -> c14(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1)), INC(x1)) COUNT(x0, 0) -> c14(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(empty, x1) -> c14(INC(x1)) COUNT(x0, 0) -> c8(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(x0, s(z0)) -> c8(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0)))) COUNT(empty, x1) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1))) COUNT(empty, x1) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c8(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c8(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, 0) -> c9(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(x0, s(z0)) -> c9(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0)))) COUNT(empty, x1) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1))) COUNT(empty, x1) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c9(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c9(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, 0) -> c10(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(x0, s(z0)) -> c10(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0)))) COUNT(empty, x1) -> c10(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1))) COUNT(empty, x1) -> c10(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c10(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c10(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c10(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, 0) -> c11(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(x0, s(z0)) -> c11(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0)))) COUNT(empty, x1) -> c11(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1))) COUNT(empty, x1) -> c11(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c11(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c11(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c11(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, 0) -> c12(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(x0, s(z0)) -> c12(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0)))) COUNT(empty, x1) -> c12(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1))) COUNT(empty, x1) -> c12(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c12(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c12(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c12(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c12(IF(true, isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) S tuples: INC(s(z0)) -> c7(INC(z0)) IF(false, false, z0, z1, z2, z3) -> c16(COUNT(z1, z2)) IF(false, true, z0, z1, z2, z3) -> c17(COUNT(z0, z3)) COUNT(z0, z1) -> c13(IF(isEmpty(z0), isEmpty(left(z0)), right(z0), node(left(left(z0)), node(right(left(z0)), right(z0))), z1, inc(z1))) COUNT(x0, s(z0)) -> c14(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0))), INC(s(z0))) COUNT(empty, x1) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1)), INC(x1)) COUNT(node(z0, z1), x1) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1)), INC(x1)) COUNT(empty, x1) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1)), INC(x1)) COUNT(node(z0, z1), x1) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1)), INC(x1)) COUNT(empty, x1) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1)), INC(x1)) COUNT(node(z0, z1), x1) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1)), INC(x1)) COUNT(empty, x1) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1)), INC(x1)) COUNT(node(z0, z1), x1) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1)), INC(x1)) COUNT(empty, x1) -> c14(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1)), INC(x1)) COUNT(node(z0, z1), x1) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1)), INC(x1)) COUNT(node(z0, z1), x1) -> c14(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1)), INC(x1)) COUNT(x0, 0) -> c14(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(x0, 0) -> c8(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(x0, s(z0)) -> c8(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0)))) COUNT(empty, x1) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1))) COUNT(empty, x1) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c8(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c8(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, 0) -> c9(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(x0, s(z0)) -> c9(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0)))) COUNT(empty, x1) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1))) COUNT(empty, x1) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c9(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c9(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, 0) -> c10(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(x0, s(z0)) -> c10(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0)))) COUNT(empty, x1) -> c10(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1))) COUNT(empty, x1) -> c10(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c10(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c10(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c10(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, 0) -> c11(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(x0, s(z0)) -> c11(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0)))) COUNT(empty, x1) -> c11(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1))) COUNT(empty, x1) -> c11(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c11(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c11(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c11(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, 0) -> c12(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(x0, s(z0)) -> c12(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0)))) COUNT(empty, x1) -> c12(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1))) COUNT(empty, x1) -> c12(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c12(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c12(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c12(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c12(IF(true, isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) K tuples: COUNT(empty, x1) -> c14(INC(x1)) Defined Rule Symbols: isEmpty_1, left_1, right_1, inc_1 Defined Pair Symbols: INC_1, IF_6, COUNT_2 Compound Symbols: c7_1, c16_1, c17_1, c13_1, c14_2, c14_1, c8_1, c9_1, c10_1, c11_1, c12_1 ---------------------------------------- (87) CdtLeafRemovalProof (BOTH BOUNDS(ID, ID)) Removed 1 trailing nodes: COUNT(empty, x1) -> c12(IF(true, isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) ---------------------------------------- (88) Obligation: Complexity Dependency Tuples Problem Rules: isEmpty(empty) -> true isEmpty(node(z0, z1)) -> false left(empty) -> empty left(node(z0, z1)) -> z0 right(empty) -> empty right(node(z0, z1)) -> z1 inc(0) -> s(0) inc(s(z0)) -> s(inc(z0)) Tuples: INC(s(z0)) -> c7(INC(z0)) IF(false, false, z0, z1, z2, z3) -> c16(COUNT(z1, z2)) IF(false, true, z0, z1, z2, z3) -> c17(COUNT(z0, z3)) COUNT(z0, z1) -> c13(IF(isEmpty(z0), isEmpty(left(z0)), right(z0), node(left(left(z0)), node(right(left(z0)), right(z0))), z1, inc(z1))) COUNT(x0, s(z0)) -> c14(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0))), INC(s(z0))) COUNT(empty, x1) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1)), INC(x1)) COUNT(node(z0, z1), x1) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1)), INC(x1)) COUNT(empty, x1) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1)), INC(x1)) COUNT(node(z0, z1), x1) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1)), INC(x1)) COUNT(empty, x1) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1)), INC(x1)) COUNT(node(z0, z1), x1) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1)), INC(x1)) COUNT(empty, x1) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1)), INC(x1)) COUNT(node(z0, z1), x1) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1)), INC(x1)) COUNT(empty, x1) -> c14(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1)), INC(x1)) COUNT(node(z0, z1), x1) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1)), INC(x1)) COUNT(node(z0, z1), x1) -> c14(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1)), INC(x1)) COUNT(x0, 0) -> c14(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(empty, x1) -> c14(INC(x1)) COUNT(x0, 0) -> c8(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(x0, s(z0)) -> c8(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0)))) COUNT(empty, x1) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1))) COUNT(empty, x1) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c8(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c8(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, 0) -> c9(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(x0, s(z0)) -> c9(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0)))) COUNT(empty, x1) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1))) COUNT(empty, x1) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c9(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c9(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, 0) -> c10(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(x0, s(z0)) -> c10(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0)))) COUNT(empty, x1) -> c10(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1))) COUNT(empty, x1) -> c10(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c10(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c10(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c10(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, 0) -> c11(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(x0, s(z0)) -> c11(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0)))) COUNT(empty, x1) -> c11(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1))) COUNT(empty, x1) -> c11(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c11(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c11(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c11(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, 0) -> c12(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(x0, s(z0)) -> c12(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0)))) COUNT(empty, x1) -> c12(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1))) COUNT(empty, x1) -> c12(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c12(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c12(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c12(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) S tuples: INC(s(z0)) -> c7(INC(z0)) IF(false, false, z0, z1, z2, z3) -> c16(COUNT(z1, z2)) IF(false, true, z0, z1, z2, z3) -> c17(COUNT(z0, z3)) COUNT(z0, z1) -> c13(IF(isEmpty(z0), isEmpty(left(z0)), right(z0), node(left(left(z0)), node(right(left(z0)), right(z0))), z1, inc(z1))) COUNT(x0, s(z0)) -> c14(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0))), INC(s(z0))) COUNT(empty, x1) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1)), INC(x1)) COUNT(node(z0, z1), x1) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1)), INC(x1)) COUNT(empty, x1) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1)), INC(x1)) COUNT(node(z0, z1), x1) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1)), INC(x1)) COUNT(empty, x1) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1)), INC(x1)) COUNT(node(z0, z1), x1) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1)), INC(x1)) COUNT(empty, x1) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1)), INC(x1)) COUNT(node(z0, z1), x1) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1)), INC(x1)) COUNT(empty, x1) -> c14(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1)), INC(x1)) COUNT(node(z0, z1), x1) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1)), INC(x1)) COUNT(node(z0, z1), x1) -> c14(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1)), INC(x1)) COUNT(x0, 0) -> c14(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(x0, 0) -> c8(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(x0, s(z0)) -> c8(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0)))) COUNT(empty, x1) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1))) COUNT(empty, x1) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c8(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c8(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, 0) -> c9(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(x0, s(z0)) -> c9(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0)))) COUNT(empty, x1) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1))) COUNT(empty, x1) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c9(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c9(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, 0) -> c10(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(x0, s(z0)) -> c10(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0)))) COUNT(empty, x1) -> c10(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1))) COUNT(empty, x1) -> c10(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c10(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c10(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c10(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, 0) -> c11(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(x0, s(z0)) -> c11(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0)))) COUNT(empty, x1) -> c11(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1))) COUNT(empty, x1) -> c11(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c11(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c11(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c11(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, 0) -> c12(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(x0, s(z0)) -> c12(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0)))) COUNT(empty, x1) -> c12(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1))) COUNT(empty, x1) -> c12(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c12(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c12(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c12(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) K tuples: COUNT(empty, x1) -> c14(INC(x1)) Defined Rule Symbols: isEmpty_1, left_1, right_1, inc_1 Defined Pair Symbols: INC_1, IF_6, COUNT_2 Compound Symbols: c7_1, c16_1, c17_1, c13_1, c14_2, c14_1, c8_1, c9_1, c10_1, c11_1, c12_1 ---------------------------------------- (89) CdtNarrowingProof (BOTH BOUNDS(ID, ID)) Use narrowing to replace COUNT(z0, z1) -> c13(IF(isEmpty(z0), isEmpty(left(z0)), right(z0), node(left(left(z0)), node(right(left(z0)), right(z0))), z1, inc(z1))) by COUNT(x0, 0) -> c13(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(x0, s(z0)) -> c13(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0)))) COUNT(empty, x1) -> c13(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1))) COUNT(empty, x1) -> c13(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c13(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c13(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c13(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c13(IF(true, isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) ---------------------------------------- (90) Obligation: Complexity Dependency Tuples Problem Rules: isEmpty(empty) -> true isEmpty(node(z0, z1)) -> false left(empty) -> empty left(node(z0, z1)) -> z0 right(empty) -> empty right(node(z0, z1)) -> z1 inc(0) -> s(0) inc(s(z0)) -> s(inc(z0)) Tuples: INC(s(z0)) -> c7(INC(z0)) IF(false, false, z0, z1, z2, z3) -> c16(COUNT(z1, z2)) IF(false, true, z0, z1, z2, z3) -> c17(COUNT(z0, z3)) COUNT(x0, s(z0)) -> c14(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0))), INC(s(z0))) COUNT(empty, x1) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1)), INC(x1)) COUNT(node(z0, z1), x1) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1)), INC(x1)) COUNT(empty, x1) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1)), INC(x1)) COUNT(node(z0, z1), x1) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1)), INC(x1)) COUNT(empty, x1) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1)), INC(x1)) COUNT(node(z0, z1), x1) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1)), INC(x1)) COUNT(empty, x1) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1)), INC(x1)) COUNT(node(z0, z1), x1) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1)), INC(x1)) COUNT(empty, x1) -> c14(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1)), INC(x1)) COUNT(node(z0, z1), x1) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1)), INC(x1)) COUNT(node(z0, z1), x1) -> c14(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1)), INC(x1)) COUNT(x0, 0) -> c14(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(empty, x1) -> c14(INC(x1)) COUNT(x0, 0) -> c8(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(x0, s(z0)) -> c8(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0)))) COUNT(empty, x1) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1))) COUNT(empty, x1) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c8(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c8(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, 0) -> c9(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(x0, s(z0)) -> c9(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0)))) COUNT(empty, x1) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1))) COUNT(empty, x1) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c9(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c9(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, 0) -> c10(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(x0, s(z0)) -> c10(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0)))) COUNT(empty, x1) -> c10(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1))) COUNT(empty, x1) -> c10(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c10(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c10(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c10(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, 0) -> c11(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(x0, s(z0)) -> c11(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0)))) COUNT(empty, x1) -> c11(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1))) COUNT(empty, x1) -> c11(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c11(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c11(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c11(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, 0) -> c12(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(x0, s(z0)) -> c12(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0)))) COUNT(empty, x1) -> c12(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1))) COUNT(empty, x1) -> c12(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c12(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c12(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c12(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, 0) -> c13(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(x0, s(z0)) -> c13(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0)))) COUNT(empty, x1) -> c13(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1))) COUNT(empty, x1) -> c13(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c13(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c13(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c13(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c13(IF(true, isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) S tuples: INC(s(z0)) -> c7(INC(z0)) IF(false, false, z0, z1, z2, z3) -> c16(COUNT(z1, z2)) IF(false, true, z0, z1, z2, z3) -> c17(COUNT(z0, z3)) COUNT(x0, s(z0)) -> c14(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0))), INC(s(z0))) COUNT(empty, x1) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1)), INC(x1)) COUNT(node(z0, z1), x1) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1)), INC(x1)) COUNT(empty, x1) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1)), INC(x1)) COUNT(node(z0, z1), x1) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1)), INC(x1)) COUNT(empty, x1) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1)), INC(x1)) COUNT(node(z0, z1), x1) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1)), INC(x1)) COUNT(empty, x1) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1)), INC(x1)) COUNT(node(z0, z1), x1) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1)), INC(x1)) COUNT(empty, x1) -> c14(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1)), INC(x1)) COUNT(node(z0, z1), x1) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1)), INC(x1)) COUNT(node(z0, z1), x1) -> c14(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1)), INC(x1)) COUNT(x0, 0) -> c14(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(x0, 0) -> c8(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(x0, s(z0)) -> c8(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0)))) COUNT(empty, x1) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1))) COUNT(empty, x1) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c8(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c8(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, 0) -> c9(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(x0, s(z0)) -> c9(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0)))) COUNT(empty, x1) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1))) COUNT(empty, x1) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c9(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c9(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, 0) -> c10(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(x0, s(z0)) -> c10(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0)))) COUNT(empty, x1) -> c10(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1))) COUNT(empty, x1) -> c10(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c10(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c10(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c10(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, 0) -> c11(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(x0, s(z0)) -> c11(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0)))) COUNT(empty, x1) -> c11(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1))) COUNT(empty, x1) -> c11(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c11(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c11(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c11(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, 0) -> c12(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(x0, s(z0)) -> c12(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0)))) COUNT(empty, x1) -> c12(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1))) COUNT(empty, x1) -> c12(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c12(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c12(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c12(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, 0) -> c13(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(x0, s(z0)) -> c13(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0)))) COUNT(empty, x1) -> c13(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1))) COUNT(empty, x1) -> c13(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c13(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c13(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c13(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c13(IF(true, isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) K tuples: COUNT(empty, x1) -> c14(INC(x1)) Defined Rule Symbols: isEmpty_1, left_1, right_1, inc_1 Defined Pair Symbols: INC_1, IF_6, COUNT_2 Compound Symbols: c7_1, c16_1, c17_1, c14_2, c14_1, c8_1, c9_1, c10_1, c11_1, c12_1, c13_1 ---------------------------------------- (91) CdtLeafRemovalProof (BOTH BOUNDS(ID, ID)) Removed 1 trailing nodes: COUNT(empty, x1) -> c13(IF(true, isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) ---------------------------------------- (92) Obligation: Complexity Dependency Tuples Problem Rules: isEmpty(empty) -> true isEmpty(node(z0, z1)) -> false left(empty) -> empty left(node(z0, z1)) -> z0 right(empty) -> empty right(node(z0, z1)) -> z1 inc(0) -> s(0) inc(s(z0)) -> s(inc(z0)) Tuples: INC(s(z0)) -> c7(INC(z0)) IF(false, false, z0, z1, z2, z3) -> c16(COUNT(z1, z2)) IF(false, true, z0, z1, z2, z3) -> c17(COUNT(z0, z3)) COUNT(x0, s(z0)) -> c14(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0))), INC(s(z0))) COUNT(empty, x1) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1)), INC(x1)) COUNT(node(z0, z1), x1) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1)), INC(x1)) COUNT(empty, x1) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1)), INC(x1)) COUNT(node(z0, z1), x1) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1)), INC(x1)) COUNT(empty, x1) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1)), INC(x1)) COUNT(node(z0, z1), x1) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1)), INC(x1)) COUNT(empty, x1) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1)), INC(x1)) COUNT(node(z0, z1), x1) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1)), INC(x1)) COUNT(empty, x1) -> c14(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1)), INC(x1)) COUNT(node(z0, z1), x1) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1)), INC(x1)) COUNT(node(z0, z1), x1) -> c14(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1)), INC(x1)) COUNT(x0, 0) -> c14(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(empty, x1) -> c14(INC(x1)) COUNT(x0, 0) -> c8(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(x0, s(z0)) -> c8(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0)))) COUNT(empty, x1) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1))) COUNT(empty, x1) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c8(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c8(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, 0) -> c9(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(x0, s(z0)) -> c9(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0)))) COUNT(empty, x1) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1))) COUNT(empty, x1) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c9(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c9(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, 0) -> c10(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(x0, s(z0)) -> c10(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0)))) COUNT(empty, x1) -> c10(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1))) COUNT(empty, x1) -> c10(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c10(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c10(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c10(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, 0) -> c11(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(x0, s(z0)) -> c11(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0)))) COUNT(empty, x1) -> c11(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1))) COUNT(empty, x1) -> c11(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c11(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c11(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c11(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, 0) -> c12(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(x0, s(z0)) -> c12(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0)))) COUNT(empty, x1) -> c12(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1))) COUNT(empty, x1) -> c12(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c12(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c12(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c12(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, 0) -> c13(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(x0, s(z0)) -> c13(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0)))) COUNT(empty, x1) -> c13(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1))) COUNT(empty, x1) -> c13(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c13(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c13(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c13(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) S tuples: INC(s(z0)) -> c7(INC(z0)) IF(false, false, z0, z1, z2, z3) -> c16(COUNT(z1, z2)) IF(false, true, z0, z1, z2, z3) -> c17(COUNT(z0, z3)) COUNT(x0, s(z0)) -> c14(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0))), INC(s(z0))) COUNT(empty, x1) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1)), INC(x1)) COUNT(node(z0, z1), x1) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1)), INC(x1)) COUNT(empty, x1) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1)), INC(x1)) COUNT(node(z0, z1), x1) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1)), INC(x1)) COUNT(empty, x1) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1)), INC(x1)) COUNT(node(z0, z1), x1) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1)), INC(x1)) COUNT(empty, x1) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1)), INC(x1)) COUNT(node(z0, z1), x1) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1)), INC(x1)) COUNT(empty, x1) -> c14(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1)), INC(x1)) COUNT(node(z0, z1), x1) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1)), INC(x1)) COUNT(node(z0, z1), x1) -> c14(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1)), INC(x1)) COUNT(x0, 0) -> c14(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(x0, 0) -> c8(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(x0, s(z0)) -> c8(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0)))) COUNT(empty, x1) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1))) COUNT(empty, x1) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c8(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c8(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, 0) -> c9(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(x0, s(z0)) -> c9(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0)))) COUNT(empty, x1) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1))) COUNT(empty, x1) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c9(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c9(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, 0) -> c10(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(x0, s(z0)) -> c10(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0)))) COUNT(empty, x1) -> c10(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1))) COUNT(empty, x1) -> c10(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c10(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c10(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c10(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, 0) -> c11(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(x0, s(z0)) -> c11(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0)))) COUNT(empty, x1) -> c11(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1))) COUNT(empty, x1) -> c11(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c11(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c11(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c11(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, 0) -> c12(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(x0, s(z0)) -> c12(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0)))) COUNT(empty, x1) -> c12(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1))) COUNT(empty, x1) -> c12(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c12(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c12(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c12(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, 0) -> c13(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(x0, s(z0)) -> c13(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0)))) COUNT(empty, x1) -> c13(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1))) COUNT(empty, x1) -> c13(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c13(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c13(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c13(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) K tuples: COUNT(empty, x1) -> c14(INC(x1)) Defined Rule Symbols: isEmpty_1, left_1, right_1, inc_1 Defined Pair Symbols: INC_1, IF_6, COUNT_2 Compound Symbols: c7_1, c16_1, c17_1, c14_2, c14_1, c8_1, c9_1, c10_1, c11_1, c12_1, c13_1 ---------------------------------------- (93) CdtNarrowingProof (BOTH BOUNDS(ID, ID)) Use narrowing to replace COUNT(x0, s(z0)) -> c14(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0))), INC(s(z0))) by COUNT(x0, s(0)) -> c14(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(0), s(s(0))), INC(s(0))) COUNT(x0, s(s(z0))) -> c14(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(s(z0)), s(s(inc(z0)))), INC(s(s(z0)))) COUNT(empty, s(x1)) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), s(x1), s(inc(x1))), INC(s(x1))) COUNT(empty, s(x1)) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(empty, s(x1)) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(empty, s(x1)) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(empty, s(x1)) -> c14(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(empty, s(x1)) -> c14(IF(true, isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(x0, s(x1)) -> c14(INC(s(x1))) ---------------------------------------- (94) Obligation: Complexity Dependency Tuples Problem Rules: isEmpty(empty) -> true isEmpty(node(z0, z1)) -> false left(empty) -> empty left(node(z0, z1)) -> z0 right(empty) -> empty right(node(z0, z1)) -> z1 inc(0) -> s(0) inc(s(z0)) -> s(inc(z0)) Tuples: INC(s(z0)) -> c7(INC(z0)) IF(false, false, z0, z1, z2, z3) -> c16(COUNT(z1, z2)) IF(false, true, z0, z1, z2, z3) -> c17(COUNT(z0, z3)) COUNT(empty, x1) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1)), INC(x1)) COUNT(node(z0, z1), x1) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1)), INC(x1)) COUNT(empty, x1) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1)), INC(x1)) COUNT(node(z0, z1), x1) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1)), INC(x1)) COUNT(empty, x1) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1)), INC(x1)) COUNT(node(z0, z1), x1) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1)), INC(x1)) COUNT(empty, x1) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1)), INC(x1)) COUNT(node(z0, z1), x1) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1)), INC(x1)) COUNT(empty, x1) -> c14(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1)), INC(x1)) COUNT(node(z0, z1), x1) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1)), INC(x1)) COUNT(node(z0, z1), x1) -> c14(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1)), INC(x1)) COUNT(x0, 0) -> c14(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(empty, x1) -> c14(INC(x1)) COUNT(x0, 0) -> c8(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(x0, s(z0)) -> c8(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0)))) COUNT(empty, x1) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1))) COUNT(empty, x1) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c8(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c8(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, 0) -> c9(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(x0, s(z0)) -> c9(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0)))) COUNT(empty, x1) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1))) COUNT(empty, x1) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c9(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c9(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, 0) -> c10(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(x0, s(z0)) -> c10(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0)))) COUNT(empty, x1) -> c10(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1))) COUNT(empty, x1) -> c10(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c10(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c10(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c10(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, 0) -> c11(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(x0, s(z0)) -> c11(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0)))) COUNT(empty, x1) -> c11(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1))) COUNT(empty, x1) -> c11(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c11(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c11(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c11(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, 0) -> c12(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(x0, s(z0)) -> c12(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0)))) COUNT(empty, x1) -> c12(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1))) COUNT(empty, x1) -> c12(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c12(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c12(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c12(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, 0) -> c13(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(x0, s(z0)) -> c13(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0)))) COUNT(empty, x1) -> c13(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1))) COUNT(empty, x1) -> c13(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c13(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c13(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c13(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, s(0)) -> c14(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(0), s(s(0))), INC(s(0))) COUNT(x0, s(s(z0))) -> c14(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(s(z0)), s(s(inc(z0)))), INC(s(s(z0)))) COUNT(empty, s(x1)) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), s(x1), s(inc(x1))), INC(s(x1))) COUNT(empty, s(x1)) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(empty, s(x1)) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(empty, s(x1)) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(empty, s(x1)) -> c14(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(empty, s(x1)) -> c14(IF(true, isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(x0, s(x1)) -> c14(INC(s(x1))) S tuples: INC(s(z0)) -> c7(INC(z0)) IF(false, false, z0, z1, z2, z3) -> c16(COUNT(z1, z2)) IF(false, true, z0, z1, z2, z3) -> c17(COUNT(z0, z3)) COUNT(empty, x1) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1)), INC(x1)) COUNT(node(z0, z1), x1) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1)), INC(x1)) COUNT(empty, x1) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1)), INC(x1)) COUNT(node(z0, z1), x1) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1)), INC(x1)) COUNT(empty, x1) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1)), INC(x1)) COUNT(node(z0, z1), x1) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1)), INC(x1)) COUNT(empty, x1) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1)), INC(x1)) COUNT(node(z0, z1), x1) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1)), INC(x1)) COUNT(empty, x1) -> c14(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1)), INC(x1)) COUNT(node(z0, z1), x1) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1)), INC(x1)) COUNT(node(z0, z1), x1) -> c14(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1)), INC(x1)) COUNT(x0, 0) -> c14(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(x0, 0) -> c8(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(x0, s(z0)) -> c8(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0)))) COUNT(empty, x1) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1))) COUNT(empty, x1) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c8(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c8(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, 0) -> c9(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(x0, s(z0)) -> c9(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0)))) COUNT(empty, x1) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1))) COUNT(empty, x1) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c9(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c9(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, 0) -> c10(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(x0, s(z0)) -> c10(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0)))) COUNT(empty, x1) -> c10(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1))) COUNT(empty, x1) -> c10(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c10(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c10(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c10(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, 0) -> c11(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(x0, s(z0)) -> c11(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0)))) COUNT(empty, x1) -> c11(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1))) COUNT(empty, x1) -> c11(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c11(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c11(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c11(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, 0) -> c12(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(x0, s(z0)) -> c12(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0)))) COUNT(empty, x1) -> c12(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1))) COUNT(empty, x1) -> c12(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c12(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c12(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c12(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, 0) -> c13(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(x0, s(z0)) -> c13(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0)))) COUNT(empty, x1) -> c13(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1))) COUNT(empty, x1) -> c13(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c13(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c13(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c13(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, s(0)) -> c14(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(0), s(s(0))), INC(s(0))) COUNT(x0, s(s(z0))) -> c14(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(s(z0)), s(s(inc(z0)))), INC(s(s(z0)))) COUNT(empty, s(x1)) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), s(x1), s(inc(x1))), INC(s(x1))) COUNT(empty, s(x1)) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(empty, s(x1)) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(empty, s(x1)) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(empty, s(x1)) -> c14(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(empty, s(x1)) -> c14(IF(true, isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(x0, s(x1)) -> c14(INC(s(x1))) K tuples: COUNT(empty, x1) -> c14(INC(x1)) Defined Rule Symbols: isEmpty_1, left_1, right_1, inc_1 Defined Pair Symbols: INC_1, IF_6, COUNT_2 Compound Symbols: c7_1, c16_1, c17_1, c14_2, c14_1, c8_1, c9_1, c10_1, c11_1, c12_1, c13_1 ---------------------------------------- (95) CdtRhsSimplificationProcessorProof (BOTH BOUNDS(ID, ID)) Removed 1 trailing tuple parts ---------------------------------------- (96) Obligation: Complexity Dependency Tuples Problem Rules: isEmpty(empty) -> true isEmpty(node(z0, z1)) -> false left(empty) -> empty left(node(z0, z1)) -> z0 right(empty) -> empty right(node(z0, z1)) -> z1 inc(0) -> s(0) inc(s(z0)) -> s(inc(z0)) Tuples: INC(s(z0)) -> c7(INC(z0)) IF(false, false, z0, z1, z2, z3) -> c16(COUNT(z1, z2)) IF(false, true, z0, z1, z2, z3) -> c17(COUNT(z0, z3)) COUNT(empty, x1) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1)), INC(x1)) COUNT(node(z0, z1), x1) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1)), INC(x1)) COUNT(empty, x1) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1)), INC(x1)) COUNT(node(z0, z1), x1) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1)), INC(x1)) COUNT(empty, x1) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1)), INC(x1)) COUNT(node(z0, z1), x1) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1)), INC(x1)) COUNT(empty, x1) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1)), INC(x1)) COUNT(node(z0, z1), x1) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1)), INC(x1)) COUNT(empty, x1) -> c14(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1)), INC(x1)) COUNT(node(z0, z1), x1) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1)), INC(x1)) COUNT(node(z0, z1), x1) -> c14(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1)), INC(x1)) COUNT(x0, 0) -> c14(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(empty, x1) -> c14(INC(x1)) COUNT(x0, 0) -> c8(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(x0, s(z0)) -> c8(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0)))) COUNT(empty, x1) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1))) COUNT(empty, x1) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c8(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c8(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, 0) -> c9(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(x0, s(z0)) -> c9(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0)))) COUNT(empty, x1) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1))) COUNT(empty, x1) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c9(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c9(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, 0) -> c10(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(x0, s(z0)) -> c10(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0)))) COUNT(empty, x1) -> c10(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1))) COUNT(empty, x1) -> c10(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c10(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c10(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c10(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, 0) -> c11(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(x0, s(z0)) -> c11(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0)))) COUNT(empty, x1) -> c11(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1))) COUNT(empty, x1) -> c11(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c11(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c11(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c11(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, 0) -> c12(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(x0, s(z0)) -> c12(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0)))) COUNT(empty, x1) -> c12(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1))) COUNT(empty, x1) -> c12(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c12(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c12(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c12(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, 0) -> c13(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(x0, s(z0)) -> c13(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0)))) COUNT(empty, x1) -> c13(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1))) COUNT(empty, x1) -> c13(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c13(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c13(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c13(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, s(0)) -> c14(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(0), s(s(0))), INC(s(0))) COUNT(x0, s(s(z0))) -> c14(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(s(z0)), s(s(inc(z0)))), INC(s(s(z0)))) COUNT(empty, s(x1)) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), s(x1), s(inc(x1))), INC(s(x1))) COUNT(empty, s(x1)) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(empty, s(x1)) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(empty, s(x1)) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(empty, s(x1)) -> c14(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(x0, s(x1)) -> c14(INC(s(x1))) COUNT(empty, s(x1)) -> c14(INC(s(x1))) S tuples: INC(s(z0)) -> c7(INC(z0)) IF(false, false, z0, z1, z2, z3) -> c16(COUNT(z1, z2)) IF(false, true, z0, z1, z2, z3) -> c17(COUNT(z0, z3)) COUNT(empty, x1) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1)), INC(x1)) COUNT(node(z0, z1), x1) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1)), INC(x1)) COUNT(empty, x1) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1)), INC(x1)) COUNT(node(z0, z1), x1) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1)), INC(x1)) COUNT(empty, x1) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1)), INC(x1)) COUNT(node(z0, z1), x1) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1)), INC(x1)) COUNT(empty, x1) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1)), INC(x1)) COUNT(node(z0, z1), x1) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1)), INC(x1)) COUNT(empty, x1) -> c14(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1)), INC(x1)) COUNT(node(z0, z1), x1) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1)), INC(x1)) COUNT(node(z0, z1), x1) -> c14(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1)), INC(x1)) COUNT(x0, 0) -> c14(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(x0, 0) -> c8(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(x0, s(z0)) -> c8(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0)))) COUNT(empty, x1) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1))) COUNT(empty, x1) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c8(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c8(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, 0) -> c9(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(x0, s(z0)) -> c9(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0)))) COUNT(empty, x1) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1))) COUNT(empty, x1) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c9(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c9(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, 0) -> c10(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(x0, s(z0)) -> c10(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0)))) COUNT(empty, x1) -> c10(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1))) COUNT(empty, x1) -> c10(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c10(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c10(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c10(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, 0) -> c11(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(x0, s(z0)) -> c11(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0)))) COUNT(empty, x1) -> c11(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1))) COUNT(empty, x1) -> c11(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c11(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c11(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c11(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, 0) -> c12(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(x0, s(z0)) -> c12(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0)))) COUNT(empty, x1) -> c12(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1))) COUNT(empty, x1) -> c12(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c12(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c12(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c12(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, 0) -> c13(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(x0, s(z0)) -> c13(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0)))) COUNT(empty, x1) -> c13(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1))) COUNT(empty, x1) -> c13(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c13(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c13(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c13(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, s(0)) -> c14(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(0), s(s(0))), INC(s(0))) COUNT(x0, s(s(z0))) -> c14(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(s(z0)), s(s(inc(z0)))), INC(s(s(z0)))) COUNT(empty, s(x1)) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), s(x1), s(inc(x1))), INC(s(x1))) COUNT(empty, s(x1)) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(empty, s(x1)) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(empty, s(x1)) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(empty, s(x1)) -> c14(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(x0, s(x1)) -> c14(INC(s(x1))) COUNT(empty, s(x1)) -> c14(INC(s(x1))) K tuples: COUNT(empty, x1) -> c14(INC(x1)) Defined Rule Symbols: isEmpty_1, left_1, right_1, inc_1 Defined Pair Symbols: INC_1, IF_6, COUNT_2 Compound Symbols: c7_1, c16_1, c17_1, c14_2, c14_1, c8_1, c9_1, c10_1, c11_1, c12_1, c13_1 ---------------------------------------- (97) CdtRuleRemovalProof (UPPER BOUND(ADD(n^1))) Found a reduction pair which oriented the following tuples strictly. Hence they can be removed from S. COUNT(x0, s(x1)) -> c14(INC(s(x1))) COUNT(empty, s(x1)) -> c14(INC(s(x1))) We considered the (Usable) Rules:none And the Tuples: INC(s(z0)) -> c7(INC(z0)) IF(false, false, z0, z1, z2, z3) -> c16(COUNT(z1, z2)) IF(false, true, z0, z1, z2, z3) -> c17(COUNT(z0, z3)) COUNT(empty, x1) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1)), INC(x1)) COUNT(node(z0, z1), x1) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1)), INC(x1)) COUNT(empty, x1) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1)), INC(x1)) COUNT(node(z0, z1), x1) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1)), INC(x1)) COUNT(empty, x1) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1)), INC(x1)) COUNT(node(z0, z1), x1) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1)), INC(x1)) COUNT(empty, x1) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1)), INC(x1)) COUNT(node(z0, z1), x1) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1)), INC(x1)) COUNT(empty, x1) -> c14(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1)), INC(x1)) COUNT(node(z0, z1), x1) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1)), INC(x1)) COUNT(node(z0, z1), x1) -> c14(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1)), INC(x1)) COUNT(x0, 0) -> c14(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(empty, x1) -> c14(INC(x1)) COUNT(x0, 0) -> c8(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(x0, s(z0)) -> c8(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0)))) COUNT(empty, x1) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1))) COUNT(empty, x1) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c8(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c8(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, 0) -> c9(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(x0, s(z0)) -> c9(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0)))) COUNT(empty, x1) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1))) COUNT(empty, x1) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c9(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c9(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, 0) -> c10(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(x0, s(z0)) -> c10(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0)))) COUNT(empty, x1) -> c10(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1))) COUNT(empty, x1) -> c10(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c10(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c10(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c10(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, 0) -> c11(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(x0, s(z0)) -> c11(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0)))) COUNT(empty, x1) -> c11(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1))) COUNT(empty, x1) -> c11(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c11(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c11(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c11(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, 0) -> c12(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(x0, s(z0)) -> c12(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0)))) COUNT(empty, x1) -> c12(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1))) COUNT(empty, x1) -> c12(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c12(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c12(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c12(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, 0) -> c13(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(x0, s(z0)) -> c13(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0)))) COUNT(empty, x1) -> c13(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1))) COUNT(empty, x1) -> c13(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c13(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c13(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c13(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, s(0)) -> c14(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(0), s(s(0))), INC(s(0))) COUNT(x0, s(s(z0))) -> c14(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(s(z0)), s(s(inc(z0)))), INC(s(s(z0)))) COUNT(empty, s(x1)) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), s(x1), s(inc(x1))), INC(s(x1))) COUNT(empty, s(x1)) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(empty, s(x1)) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(empty, s(x1)) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(empty, s(x1)) -> c14(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(x0, s(x1)) -> c14(INC(s(x1))) COUNT(empty, s(x1)) -> c14(INC(s(x1))) The order we found is given by the following interpretation: Polynomial interpretation : POL(0) = 0 POL(COUNT(x_1, x_2)) = [1] POL(IF(x_1, x_2, x_3, x_4, x_5, x_6)) = [1] POL(INC(x_1)) = 0 POL(c10(x_1)) = x_1 POL(c11(x_1)) = x_1 POL(c12(x_1)) = x_1 POL(c13(x_1)) = x_1 POL(c14(x_1)) = x_1 POL(c14(x_1, x_2)) = x_1 + x_2 POL(c16(x_1)) = x_1 POL(c17(x_1)) = x_1 POL(c7(x_1)) = x_1 POL(c8(x_1)) = x_1 POL(c9(x_1)) = x_1 POL(empty) = 0 POL(false) = [1] POL(inc(x_1)) = [1] + x_1 POL(isEmpty(x_1)) = [1] POL(left(x_1)) = [1] POL(node(x_1, x_2)) = 0 POL(right(x_1)) = [1] POL(s(x_1)) = 0 POL(true) = [1] ---------------------------------------- (98) Obligation: Complexity Dependency Tuples Problem Rules: isEmpty(empty) -> true isEmpty(node(z0, z1)) -> false left(empty) -> empty left(node(z0, z1)) -> z0 right(empty) -> empty right(node(z0, z1)) -> z1 inc(0) -> s(0) inc(s(z0)) -> s(inc(z0)) Tuples: INC(s(z0)) -> c7(INC(z0)) IF(false, false, z0, z1, z2, z3) -> c16(COUNT(z1, z2)) IF(false, true, z0, z1, z2, z3) -> c17(COUNT(z0, z3)) COUNT(empty, x1) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1)), INC(x1)) COUNT(node(z0, z1), x1) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1)), INC(x1)) COUNT(empty, x1) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1)), INC(x1)) COUNT(node(z0, z1), x1) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1)), INC(x1)) COUNT(empty, x1) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1)), INC(x1)) COUNT(node(z0, z1), x1) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1)), INC(x1)) COUNT(empty, x1) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1)), INC(x1)) COUNT(node(z0, z1), x1) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1)), INC(x1)) COUNT(empty, x1) -> c14(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1)), INC(x1)) COUNT(node(z0, z1), x1) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1)), INC(x1)) COUNT(node(z0, z1), x1) -> c14(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1)), INC(x1)) COUNT(x0, 0) -> c14(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(empty, x1) -> c14(INC(x1)) COUNT(x0, 0) -> c8(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(x0, s(z0)) -> c8(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0)))) COUNT(empty, x1) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1))) COUNT(empty, x1) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c8(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c8(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, 0) -> c9(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(x0, s(z0)) -> c9(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0)))) COUNT(empty, x1) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1))) COUNT(empty, x1) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c9(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c9(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, 0) -> c10(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(x0, s(z0)) -> c10(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0)))) COUNT(empty, x1) -> c10(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1))) COUNT(empty, x1) -> c10(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c10(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c10(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c10(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, 0) -> c11(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(x0, s(z0)) -> c11(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0)))) COUNT(empty, x1) -> c11(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1))) COUNT(empty, x1) -> c11(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c11(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c11(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c11(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, 0) -> c12(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(x0, s(z0)) -> c12(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0)))) COUNT(empty, x1) -> c12(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1))) COUNT(empty, x1) -> c12(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c12(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c12(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c12(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, 0) -> c13(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(x0, s(z0)) -> c13(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0)))) COUNT(empty, x1) -> c13(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1))) COUNT(empty, x1) -> c13(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c13(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c13(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c13(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, s(0)) -> c14(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(0), s(s(0))), INC(s(0))) COUNT(x0, s(s(z0))) -> c14(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(s(z0)), s(s(inc(z0)))), INC(s(s(z0)))) COUNT(empty, s(x1)) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), s(x1), s(inc(x1))), INC(s(x1))) COUNT(empty, s(x1)) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(empty, s(x1)) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(empty, s(x1)) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(empty, s(x1)) -> c14(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(x0, s(x1)) -> c14(INC(s(x1))) COUNT(empty, s(x1)) -> c14(INC(s(x1))) S tuples: INC(s(z0)) -> c7(INC(z0)) IF(false, false, z0, z1, z2, z3) -> c16(COUNT(z1, z2)) IF(false, true, z0, z1, z2, z3) -> c17(COUNT(z0, z3)) COUNT(empty, x1) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1)), INC(x1)) COUNT(node(z0, z1), x1) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1)), INC(x1)) COUNT(empty, x1) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1)), INC(x1)) COUNT(node(z0, z1), x1) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1)), INC(x1)) COUNT(empty, x1) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1)), INC(x1)) COUNT(node(z0, z1), x1) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1)), INC(x1)) COUNT(empty, x1) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1)), INC(x1)) COUNT(node(z0, z1), x1) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1)), INC(x1)) COUNT(empty, x1) -> c14(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1)), INC(x1)) COUNT(node(z0, z1), x1) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1)), INC(x1)) COUNT(node(z0, z1), x1) -> c14(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1)), INC(x1)) COUNT(x0, 0) -> c14(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(x0, 0) -> c8(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(x0, s(z0)) -> c8(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0)))) COUNT(empty, x1) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1))) COUNT(empty, x1) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c8(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c8(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, 0) -> c9(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(x0, s(z0)) -> c9(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0)))) COUNT(empty, x1) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1))) COUNT(empty, x1) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c9(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c9(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, 0) -> c10(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(x0, s(z0)) -> c10(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0)))) COUNT(empty, x1) -> c10(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1))) COUNT(empty, x1) -> c10(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c10(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c10(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c10(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, 0) -> c11(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(x0, s(z0)) -> c11(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0)))) COUNT(empty, x1) -> c11(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1))) COUNT(empty, x1) -> c11(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c11(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c11(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c11(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, 0) -> c12(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(x0, s(z0)) -> c12(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0)))) COUNT(empty, x1) -> c12(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1))) COUNT(empty, x1) -> c12(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c12(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c12(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c12(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, 0) -> c13(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(x0, s(z0)) -> c13(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0)))) COUNT(empty, x1) -> c13(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1))) COUNT(empty, x1) -> c13(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c13(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c13(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c13(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, s(0)) -> c14(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(0), s(s(0))), INC(s(0))) COUNT(x0, s(s(z0))) -> c14(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(s(z0)), s(s(inc(z0)))), INC(s(s(z0)))) COUNT(empty, s(x1)) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), s(x1), s(inc(x1))), INC(s(x1))) COUNT(empty, s(x1)) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(empty, s(x1)) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(empty, s(x1)) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(empty, s(x1)) -> c14(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1))), INC(s(x1))) K tuples: COUNT(empty, x1) -> c14(INC(x1)) COUNT(x0, s(x1)) -> c14(INC(s(x1))) COUNT(empty, s(x1)) -> c14(INC(s(x1))) Defined Rule Symbols: isEmpty_1, left_1, right_1, inc_1 Defined Pair Symbols: INC_1, IF_6, COUNT_2 Compound Symbols: c7_1, c16_1, c17_1, c14_2, c14_1, c8_1, c9_1, c10_1, c11_1, c12_1, c13_1 ---------------------------------------- (99) CdtNarrowingProof (BOTH BOUNDS(ID, ID)) Use narrowing to replace COUNT(empty, x1) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1)), INC(x1)) by COUNT(empty, 0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), 0, s(0)), INC(0)) COUNT(empty, s(z0)) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), s(z0), s(inc(z0))), INC(s(z0))) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), empty)), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), empty)), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), empty)), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(true, isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x0, inc(x0)), INC(x0)) ---------------------------------------- (100) Obligation: Complexity Dependency Tuples Problem Rules: isEmpty(empty) -> true isEmpty(node(z0, z1)) -> false left(empty) -> empty left(node(z0, z1)) -> z0 right(empty) -> empty right(node(z0, z1)) -> z1 inc(0) -> s(0) inc(s(z0)) -> s(inc(z0)) Tuples: INC(s(z0)) -> c7(INC(z0)) IF(false, false, z0, z1, z2, z3) -> c16(COUNT(z1, z2)) IF(false, true, z0, z1, z2, z3) -> c17(COUNT(z0, z3)) COUNT(node(z0, z1), x1) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1)), INC(x1)) COUNT(empty, x1) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1)), INC(x1)) COUNT(node(z0, z1), x1) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1)), INC(x1)) COUNT(empty, x1) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1)), INC(x1)) COUNT(node(z0, z1), x1) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1)), INC(x1)) COUNT(empty, x1) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1)), INC(x1)) COUNT(node(z0, z1), x1) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1)), INC(x1)) COUNT(empty, x1) -> c14(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1)), INC(x1)) COUNT(node(z0, z1), x1) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1)), INC(x1)) COUNT(node(z0, z1), x1) -> c14(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1)), INC(x1)) COUNT(x0, 0) -> c14(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(empty, x1) -> c14(INC(x1)) COUNT(x0, 0) -> c8(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(x0, s(z0)) -> c8(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0)))) COUNT(empty, x1) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1))) COUNT(empty, x1) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c8(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c8(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, 0) -> c9(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(x0, s(z0)) -> c9(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0)))) COUNT(empty, x1) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1))) COUNT(empty, x1) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c9(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c9(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, 0) -> c10(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(x0, s(z0)) -> c10(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0)))) COUNT(empty, x1) -> c10(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1))) COUNT(empty, x1) -> c10(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c10(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c10(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c10(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, 0) -> c11(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(x0, s(z0)) -> c11(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0)))) COUNT(empty, x1) -> c11(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1))) COUNT(empty, x1) -> c11(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c11(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c11(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c11(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, 0) -> c12(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(x0, s(z0)) -> c12(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0)))) COUNT(empty, x1) -> c12(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1))) COUNT(empty, x1) -> c12(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c12(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c12(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c12(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, 0) -> c13(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(x0, s(z0)) -> c13(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0)))) COUNT(empty, x1) -> c13(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1))) COUNT(empty, x1) -> c13(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c13(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c13(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c13(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, s(0)) -> c14(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(0), s(s(0))), INC(s(0))) COUNT(x0, s(s(z0))) -> c14(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(s(z0)), s(s(inc(z0)))), INC(s(s(z0)))) COUNT(empty, s(x1)) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), s(x1), s(inc(x1))), INC(s(x1))) COUNT(empty, s(x1)) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(empty, s(x1)) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(empty, s(x1)) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(empty, s(x1)) -> c14(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(x0, s(x1)) -> c14(INC(s(x1))) COUNT(empty, s(x1)) -> c14(INC(s(x1))) COUNT(empty, 0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), 0, s(0)), INC(0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), empty)), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), empty)), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), empty)), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(true, isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x0, inc(x0)), INC(x0)) S tuples: INC(s(z0)) -> c7(INC(z0)) IF(false, false, z0, z1, z2, z3) -> c16(COUNT(z1, z2)) IF(false, true, z0, z1, z2, z3) -> c17(COUNT(z0, z3)) COUNT(node(z0, z1), x1) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1)), INC(x1)) COUNT(empty, x1) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1)), INC(x1)) COUNT(node(z0, z1), x1) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1)), INC(x1)) COUNT(empty, x1) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1)), INC(x1)) COUNT(node(z0, z1), x1) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1)), INC(x1)) COUNT(empty, x1) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1)), INC(x1)) COUNT(node(z0, z1), x1) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1)), INC(x1)) COUNT(empty, x1) -> c14(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1)), INC(x1)) COUNT(node(z0, z1), x1) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1)), INC(x1)) COUNT(node(z0, z1), x1) -> c14(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1)), INC(x1)) COUNT(x0, 0) -> c14(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(x0, 0) -> c8(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(x0, s(z0)) -> c8(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0)))) COUNT(empty, x1) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1))) COUNT(empty, x1) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c8(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c8(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, 0) -> c9(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(x0, s(z0)) -> c9(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0)))) COUNT(empty, x1) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1))) COUNT(empty, x1) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c9(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c9(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, 0) -> c10(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(x0, s(z0)) -> c10(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0)))) COUNT(empty, x1) -> c10(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1))) COUNT(empty, x1) -> c10(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c10(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c10(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c10(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, 0) -> c11(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(x0, s(z0)) -> c11(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0)))) COUNT(empty, x1) -> c11(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1))) COUNT(empty, x1) -> c11(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c11(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c11(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c11(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, 0) -> c12(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(x0, s(z0)) -> c12(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0)))) COUNT(empty, x1) -> c12(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1))) COUNT(empty, x1) -> c12(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c12(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c12(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c12(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, 0) -> c13(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(x0, s(z0)) -> c13(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0)))) COUNT(empty, x1) -> c13(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1))) COUNT(empty, x1) -> c13(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c13(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c13(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c13(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, s(0)) -> c14(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(0), s(s(0))), INC(s(0))) COUNT(x0, s(s(z0))) -> c14(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(s(z0)), s(s(inc(z0)))), INC(s(s(z0)))) COUNT(empty, s(x1)) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), s(x1), s(inc(x1))), INC(s(x1))) COUNT(empty, s(x1)) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(empty, s(x1)) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(empty, s(x1)) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(empty, s(x1)) -> c14(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(empty, 0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), 0, s(0)), INC(0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), empty)), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), empty)), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), empty)), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(true, isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x0, inc(x0)), INC(x0)) K tuples: COUNT(empty, x1) -> c14(INC(x1)) COUNT(x0, s(x1)) -> c14(INC(s(x1))) COUNT(empty, s(x1)) -> c14(INC(s(x1))) Defined Rule Symbols: isEmpty_1, left_1, right_1, inc_1 Defined Pair Symbols: INC_1, IF_6, COUNT_2 Compound Symbols: c7_1, c16_1, c17_1, c14_2, c14_1, c8_1, c9_1, c10_1, c11_1, c12_1, c13_1 ---------------------------------------- (101) CdtRhsSimplificationProcessorProof (BOTH BOUNDS(ID, ID)) Removed 2 trailing tuple parts ---------------------------------------- (102) Obligation: Complexity Dependency Tuples Problem Rules: isEmpty(empty) -> true isEmpty(node(z0, z1)) -> false left(empty) -> empty left(node(z0, z1)) -> z0 right(empty) -> empty right(node(z0, z1)) -> z1 inc(0) -> s(0) inc(s(z0)) -> s(inc(z0)) Tuples: INC(s(z0)) -> c7(INC(z0)) IF(false, false, z0, z1, z2, z3) -> c16(COUNT(z1, z2)) IF(false, true, z0, z1, z2, z3) -> c17(COUNT(z0, z3)) COUNT(node(z0, z1), x1) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1)), INC(x1)) COUNT(empty, x1) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1)), INC(x1)) COUNT(node(z0, z1), x1) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1)), INC(x1)) COUNT(empty, x1) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1)), INC(x1)) COUNT(node(z0, z1), x1) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1)), INC(x1)) COUNT(empty, x1) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1)), INC(x1)) COUNT(node(z0, z1), x1) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1)), INC(x1)) COUNT(empty, x1) -> c14(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1)), INC(x1)) COUNT(node(z0, z1), x1) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1)), INC(x1)) COUNT(node(z0, z1), x1) -> c14(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1)), INC(x1)) COUNT(x0, 0) -> c14(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(empty, x1) -> c14(INC(x1)) COUNT(x0, 0) -> c8(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(x0, s(z0)) -> c8(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0)))) COUNT(empty, x1) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1))) COUNT(empty, x1) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c8(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c8(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, 0) -> c9(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(x0, s(z0)) -> c9(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0)))) COUNT(empty, x1) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1))) COUNT(empty, x1) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c9(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c9(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, 0) -> c10(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(x0, s(z0)) -> c10(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0)))) COUNT(empty, x1) -> c10(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1))) COUNT(empty, x1) -> c10(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c10(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c10(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c10(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, 0) -> c11(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(x0, s(z0)) -> c11(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0)))) COUNT(empty, x1) -> c11(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1))) COUNT(empty, x1) -> c11(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c11(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c11(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c11(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, 0) -> c12(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(x0, s(z0)) -> c12(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0)))) COUNT(empty, x1) -> c12(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1))) COUNT(empty, x1) -> c12(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c12(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c12(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c12(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, 0) -> c13(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(x0, s(z0)) -> c13(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0)))) COUNT(empty, x1) -> c13(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1))) COUNT(empty, x1) -> c13(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c13(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c13(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c13(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, s(0)) -> c14(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(0), s(s(0))), INC(s(0))) COUNT(x0, s(s(z0))) -> c14(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(s(z0)), s(s(inc(z0)))), INC(s(s(z0)))) COUNT(empty, s(x1)) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), s(x1), s(inc(x1))), INC(s(x1))) COUNT(empty, s(x1)) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(empty, s(x1)) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(empty, s(x1)) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(empty, s(x1)) -> c14(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(x0, s(x1)) -> c14(INC(s(x1))) COUNT(empty, s(x1)) -> c14(INC(s(x1))) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), empty)), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), empty)), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), empty)), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x0, inc(x0)), INC(x0)) COUNT(empty, 0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), 0, s(0))) S tuples: INC(s(z0)) -> c7(INC(z0)) IF(false, false, z0, z1, z2, z3) -> c16(COUNT(z1, z2)) IF(false, true, z0, z1, z2, z3) -> c17(COUNT(z0, z3)) COUNT(node(z0, z1), x1) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1)), INC(x1)) COUNT(empty, x1) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1)), INC(x1)) COUNT(node(z0, z1), x1) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1)), INC(x1)) COUNT(empty, x1) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1)), INC(x1)) COUNT(node(z0, z1), x1) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1)), INC(x1)) COUNT(empty, x1) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1)), INC(x1)) COUNT(node(z0, z1), x1) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1)), INC(x1)) COUNT(empty, x1) -> c14(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1)), INC(x1)) COUNT(node(z0, z1), x1) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1)), INC(x1)) COUNT(node(z0, z1), x1) -> c14(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1)), INC(x1)) COUNT(x0, 0) -> c14(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(x0, 0) -> c8(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(x0, s(z0)) -> c8(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0)))) COUNT(empty, x1) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1))) COUNT(empty, x1) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c8(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c8(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, 0) -> c9(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(x0, s(z0)) -> c9(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0)))) COUNT(empty, x1) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1))) COUNT(empty, x1) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c9(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c9(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, 0) -> c10(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(x0, s(z0)) -> c10(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0)))) COUNT(empty, x1) -> c10(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1))) COUNT(empty, x1) -> c10(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c10(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c10(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c10(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, 0) -> c11(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(x0, s(z0)) -> c11(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0)))) COUNT(empty, x1) -> c11(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1))) COUNT(empty, x1) -> c11(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c11(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c11(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c11(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, 0) -> c12(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(x0, s(z0)) -> c12(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0)))) COUNT(empty, x1) -> c12(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1))) COUNT(empty, x1) -> c12(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c12(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c12(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c12(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, 0) -> c13(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(x0, s(z0)) -> c13(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0)))) COUNT(empty, x1) -> c13(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1))) COUNT(empty, x1) -> c13(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c13(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c13(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c13(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, s(0)) -> c14(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(0), s(s(0))), INC(s(0))) COUNT(x0, s(s(z0))) -> c14(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(s(z0)), s(s(inc(z0)))), INC(s(s(z0)))) COUNT(empty, s(x1)) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), s(x1), s(inc(x1))), INC(s(x1))) COUNT(empty, s(x1)) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(empty, s(x1)) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(empty, s(x1)) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(empty, s(x1)) -> c14(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), empty)), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), empty)), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), empty)), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x0, inc(x0)), INC(x0)) COUNT(empty, 0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), 0, s(0))) COUNT(empty, x0) -> c14(INC(x0)) K tuples: COUNT(empty, x1) -> c14(INC(x1)) COUNT(x0, s(x1)) -> c14(INC(s(x1))) COUNT(empty, s(x1)) -> c14(INC(s(x1))) Defined Rule Symbols: isEmpty_1, left_1, right_1, inc_1 Defined Pair Symbols: INC_1, IF_6, COUNT_2 Compound Symbols: c7_1, c16_1, c17_1, c14_2, c14_1, c8_1, c9_1, c10_1, c11_1, c12_1, c13_1 ---------------------------------------- (103) CdtKnowledgeProof (BOTH BOUNDS(ID, ID)) The following tuples could be moved from S to K by knowledge propagation: COUNT(empty, x1) -> c14(INC(x1)) COUNT(empty, x0) -> c14(INC(x0)) ---------------------------------------- (104) Obligation: Complexity Dependency Tuples Problem Rules: isEmpty(empty) -> true isEmpty(node(z0, z1)) -> false left(empty) -> empty left(node(z0, z1)) -> z0 right(empty) -> empty right(node(z0, z1)) -> z1 inc(0) -> s(0) inc(s(z0)) -> s(inc(z0)) Tuples: INC(s(z0)) -> c7(INC(z0)) IF(false, false, z0, z1, z2, z3) -> c16(COUNT(z1, z2)) IF(false, true, z0, z1, z2, z3) -> c17(COUNT(z0, z3)) COUNT(node(z0, z1), x1) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1)), INC(x1)) COUNT(empty, x1) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1)), INC(x1)) COUNT(node(z0, z1), x1) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1)), INC(x1)) COUNT(empty, x1) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1)), INC(x1)) COUNT(node(z0, z1), x1) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1)), INC(x1)) COUNT(empty, x1) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1)), INC(x1)) COUNT(node(z0, z1), x1) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1)), INC(x1)) COUNT(empty, x1) -> c14(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1)), INC(x1)) COUNT(node(z0, z1), x1) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1)), INC(x1)) COUNT(node(z0, z1), x1) -> c14(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1)), INC(x1)) COUNT(x0, 0) -> c14(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(empty, x1) -> c14(INC(x1)) COUNT(x0, 0) -> c8(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(x0, s(z0)) -> c8(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0)))) COUNT(empty, x1) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1))) COUNT(empty, x1) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c8(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c8(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, 0) -> c9(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(x0, s(z0)) -> c9(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0)))) COUNT(empty, x1) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1))) COUNT(empty, x1) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c9(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c9(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, 0) -> c10(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(x0, s(z0)) -> c10(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0)))) COUNT(empty, x1) -> c10(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1))) COUNT(empty, x1) -> c10(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c10(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c10(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c10(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, 0) -> c11(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(x0, s(z0)) -> c11(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0)))) COUNT(empty, x1) -> c11(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1))) COUNT(empty, x1) -> c11(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c11(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c11(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c11(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, 0) -> c12(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(x0, s(z0)) -> c12(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0)))) COUNT(empty, x1) -> c12(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1))) COUNT(empty, x1) -> c12(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c12(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c12(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c12(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, 0) -> c13(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(x0, s(z0)) -> c13(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0)))) COUNT(empty, x1) -> c13(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1))) COUNT(empty, x1) -> c13(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c13(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c13(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c13(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, s(0)) -> c14(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(0), s(s(0))), INC(s(0))) COUNT(x0, s(s(z0))) -> c14(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(s(z0)), s(s(inc(z0)))), INC(s(s(z0)))) COUNT(empty, s(x1)) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), s(x1), s(inc(x1))), INC(s(x1))) COUNT(empty, s(x1)) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(empty, s(x1)) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(empty, s(x1)) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(empty, s(x1)) -> c14(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(x0, s(x1)) -> c14(INC(s(x1))) COUNT(empty, s(x1)) -> c14(INC(s(x1))) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), empty)), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), empty)), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), empty)), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x0, inc(x0)), INC(x0)) COUNT(empty, 0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), 0, s(0))) S tuples: INC(s(z0)) -> c7(INC(z0)) IF(false, false, z0, z1, z2, z3) -> c16(COUNT(z1, z2)) IF(false, true, z0, z1, z2, z3) -> c17(COUNT(z0, z3)) COUNT(node(z0, z1), x1) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1)), INC(x1)) COUNT(empty, x1) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1)), INC(x1)) COUNT(node(z0, z1), x1) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1)), INC(x1)) COUNT(empty, x1) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1)), INC(x1)) COUNT(node(z0, z1), x1) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1)), INC(x1)) COUNT(empty, x1) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1)), INC(x1)) COUNT(node(z0, z1), x1) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1)), INC(x1)) COUNT(empty, x1) -> c14(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1)), INC(x1)) COUNT(node(z0, z1), x1) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1)), INC(x1)) COUNT(node(z0, z1), x1) -> c14(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1)), INC(x1)) COUNT(x0, 0) -> c14(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(x0, 0) -> c8(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(x0, s(z0)) -> c8(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0)))) COUNT(empty, x1) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1))) COUNT(empty, x1) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c8(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c8(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, 0) -> c9(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(x0, s(z0)) -> c9(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0)))) COUNT(empty, x1) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1))) COUNT(empty, x1) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c9(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c9(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, 0) -> c10(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(x0, s(z0)) -> c10(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0)))) COUNT(empty, x1) -> c10(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1))) COUNT(empty, x1) -> c10(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c10(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c10(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c10(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, 0) -> c11(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(x0, s(z0)) -> c11(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0)))) COUNT(empty, x1) -> c11(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1))) COUNT(empty, x1) -> c11(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c11(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c11(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c11(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, 0) -> c12(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(x0, s(z0)) -> c12(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0)))) COUNT(empty, x1) -> c12(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1))) COUNT(empty, x1) -> c12(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c12(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c12(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c12(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, 0) -> c13(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(x0, s(z0)) -> c13(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0)))) COUNT(empty, x1) -> c13(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1))) COUNT(empty, x1) -> c13(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c13(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c13(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c13(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, s(0)) -> c14(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(0), s(s(0))), INC(s(0))) COUNT(x0, s(s(z0))) -> c14(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(s(z0)), s(s(inc(z0)))), INC(s(s(z0)))) COUNT(empty, s(x1)) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), s(x1), s(inc(x1))), INC(s(x1))) COUNT(empty, s(x1)) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(empty, s(x1)) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(empty, s(x1)) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(empty, s(x1)) -> c14(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), empty)), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), empty)), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), empty)), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x0, inc(x0)), INC(x0)) COUNT(empty, 0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), 0, s(0))) K tuples: COUNT(empty, x1) -> c14(INC(x1)) COUNT(x0, s(x1)) -> c14(INC(s(x1))) COUNT(empty, s(x1)) -> c14(INC(s(x1))) Defined Rule Symbols: isEmpty_1, left_1, right_1, inc_1 Defined Pair Symbols: INC_1, IF_6, COUNT_2 Compound Symbols: c7_1, c16_1, c17_1, c14_2, c14_1, c8_1, c9_1, c10_1, c11_1, c12_1, c13_1 ---------------------------------------- (105) CdtNarrowingProof (BOTH BOUNDS(ID, ID)) Use narrowing to replace COUNT(node(z0, z1), x1) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1)), INC(x1)) by COUNT(node(x0, x1), 0) -> c14(IF(isEmpty(node(x0, x1)), isEmpty(left(node(x0, x1))), right(node(x0, x1)), node(left(left(node(x0, x1))), node(right(left(node(x0, x1))), x1)), 0, s(0)), INC(0)) COUNT(node(x0, x1), s(z0)) -> c14(IF(isEmpty(node(x0, x1)), isEmpty(left(node(x0, x1))), right(node(x0, x1)), node(left(left(node(x0, x1))), node(right(left(node(x0, x1))), x1)), s(z0), s(inc(z0))), INC(s(z0))) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), z1)), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), z1)), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x2, inc(x2)), INC(x2)) ---------------------------------------- (106) Obligation: Complexity Dependency Tuples Problem Rules: isEmpty(empty) -> true isEmpty(node(z0, z1)) -> false left(empty) -> empty left(node(z0, z1)) -> z0 right(empty) -> empty right(node(z0, z1)) -> z1 inc(0) -> s(0) inc(s(z0)) -> s(inc(z0)) Tuples: INC(s(z0)) -> c7(INC(z0)) IF(false, false, z0, z1, z2, z3) -> c16(COUNT(z1, z2)) IF(false, true, z0, z1, z2, z3) -> c17(COUNT(z0, z3)) COUNT(empty, x1) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1)), INC(x1)) COUNT(node(z0, z1), x1) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1)), INC(x1)) COUNT(empty, x1) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1)), INC(x1)) COUNT(node(z0, z1), x1) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1)), INC(x1)) COUNT(empty, x1) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1)), INC(x1)) COUNT(node(z0, z1), x1) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1)), INC(x1)) COUNT(empty, x1) -> c14(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1)), INC(x1)) COUNT(node(z0, z1), x1) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1)), INC(x1)) COUNT(node(z0, z1), x1) -> c14(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1)), INC(x1)) COUNT(x0, 0) -> c14(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(empty, x1) -> c14(INC(x1)) COUNT(x0, 0) -> c8(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(x0, s(z0)) -> c8(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0)))) COUNT(empty, x1) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1))) COUNT(empty, x1) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c8(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c8(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, 0) -> c9(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(x0, s(z0)) -> c9(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0)))) COUNT(empty, x1) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1))) COUNT(empty, x1) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c9(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c9(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, 0) -> c10(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(x0, s(z0)) -> c10(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0)))) COUNT(empty, x1) -> c10(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1))) COUNT(empty, x1) -> c10(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c10(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c10(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c10(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, 0) -> c11(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(x0, s(z0)) -> c11(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0)))) COUNT(empty, x1) -> c11(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1))) COUNT(empty, x1) -> c11(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c11(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c11(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c11(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, 0) -> c12(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(x0, s(z0)) -> c12(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0)))) COUNT(empty, x1) -> c12(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1))) COUNT(empty, x1) -> c12(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c12(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c12(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c12(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, 0) -> c13(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(x0, s(z0)) -> c13(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0)))) COUNT(empty, x1) -> c13(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1))) COUNT(empty, x1) -> c13(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c13(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c13(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c13(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, s(0)) -> c14(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(0), s(s(0))), INC(s(0))) COUNT(x0, s(s(z0))) -> c14(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(s(z0)), s(s(inc(z0)))), INC(s(s(z0)))) COUNT(empty, s(x1)) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), s(x1), s(inc(x1))), INC(s(x1))) COUNT(empty, s(x1)) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(empty, s(x1)) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(empty, s(x1)) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(empty, s(x1)) -> c14(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(x0, s(x1)) -> c14(INC(s(x1))) COUNT(empty, s(x1)) -> c14(INC(s(x1))) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), empty)), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), empty)), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), empty)), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x0, inc(x0)), INC(x0)) COUNT(empty, 0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), 0, s(0))) COUNT(node(x0, x1), 0) -> c14(IF(isEmpty(node(x0, x1)), isEmpty(left(node(x0, x1))), right(node(x0, x1)), node(left(left(node(x0, x1))), node(right(left(node(x0, x1))), x1)), 0, s(0)), INC(0)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), z1)), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), z1)), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x2, inc(x2)), INC(x2)) S tuples: INC(s(z0)) -> c7(INC(z0)) IF(false, false, z0, z1, z2, z3) -> c16(COUNT(z1, z2)) IF(false, true, z0, z1, z2, z3) -> c17(COUNT(z0, z3)) COUNT(empty, x1) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1)), INC(x1)) COUNT(node(z0, z1), x1) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1)), INC(x1)) COUNT(empty, x1) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1)), INC(x1)) COUNT(node(z0, z1), x1) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1)), INC(x1)) COUNT(empty, x1) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1)), INC(x1)) COUNT(node(z0, z1), x1) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1)), INC(x1)) COUNT(empty, x1) -> c14(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1)), INC(x1)) COUNT(node(z0, z1), x1) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1)), INC(x1)) COUNT(node(z0, z1), x1) -> c14(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1)), INC(x1)) COUNT(x0, 0) -> c14(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(x0, 0) -> c8(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(x0, s(z0)) -> c8(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0)))) COUNT(empty, x1) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1))) COUNT(empty, x1) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c8(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c8(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, 0) -> c9(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(x0, s(z0)) -> c9(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0)))) COUNT(empty, x1) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1))) COUNT(empty, x1) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c9(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c9(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, 0) -> c10(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(x0, s(z0)) -> c10(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0)))) COUNT(empty, x1) -> c10(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1))) COUNT(empty, x1) -> c10(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c10(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c10(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c10(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, 0) -> c11(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(x0, s(z0)) -> c11(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0)))) COUNT(empty, x1) -> c11(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1))) COUNT(empty, x1) -> c11(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c11(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c11(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c11(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, 0) -> c12(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(x0, s(z0)) -> c12(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0)))) COUNT(empty, x1) -> c12(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1))) COUNT(empty, x1) -> c12(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c12(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c12(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c12(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, 0) -> c13(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(x0, s(z0)) -> c13(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0)))) COUNT(empty, x1) -> c13(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1))) COUNT(empty, x1) -> c13(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c13(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c13(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c13(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, s(0)) -> c14(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(0), s(s(0))), INC(s(0))) COUNT(x0, s(s(z0))) -> c14(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(s(z0)), s(s(inc(z0)))), INC(s(s(z0)))) COUNT(empty, s(x1)) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), s(x1), s(inc(x1))), INC(s(x1))) COUNT(empty, s(x1)) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(empty, s(x1)) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(empty, s(x1)) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(empty, s(x1)) -> c14(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), empty)), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), empty)), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), empty)), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x0, inc(x0)), INC(x0)) COUNT(empty, 0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), 0, s(0))) COUNT(node(x0, x1), 0) -> c14(IF(isEmpty(node(x0, x1)), isEmpty(left(node(x0, x1))), right(node(x0, x1)), node(left(left(node(x0, x1))), node(right(left(node(x0, x1))), x1)), 0, s(0)), INC(0)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), z1)), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), z1)), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x2, inc(x2)), INC(x2)) K tuples: COUNT(empty, x1) -> c14(INC(x1)) COUNT(x0, s(x1)) -> c14(INC(s(x1))) COUNT(empty, s(x1)) -> c14(INC(s(x1))) Defined Rule Symbols: isEmpty_1, left_1, right_1, inc_1 Defined Pair Symbols: INC_1, IF_6, COUNT_2 Compound Symbols: c7_1, c16_1, c17_1, c14_2, c14_1, c8_1, c9_1, c10_1, c11_1, c12_1, c13_1 ---------------------------------------- (107) CdtRhsSimplificationProcessorProof (BOTH BOUNDS(ID, ID)) Removed 1 trailing tuple parts ---------------------------------------- (108) Obligation: Complexity Dependency Tuples Problem Rules: isEmpty(empty) -> true isEmpty(node(z0, z1)) -> false left(empty) -> empty left(node(z0, z1)) -> z0 right(empty) -> empty right(node(z0, z1)) -> z1 inc(0) -> s(0) inc(s(z0)) -> s(inc(z0)) Tuples: INC(s(z0)) -> c7(INC(z0)) IF(false, false, z0, z1, z2, z3) -> c16(COUNT(z1, z2)) IF(false, true, z0, z1, z2, z3) -> c17(COUNT(z0, z3)) COUNT(empty, x1) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1)), INC(x1)) COUNT(node(z0, z1), x1) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1)), INC(x1)) COUNT(empty, x1) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1)), INC(x1)) COUNT(node(z0, z1), x1) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1)), INC(x1)) COUNT(empty, x1) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1)), INC(x1)) COUNT(node(z0, z1), x1) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1)), INC(x1)) COUNT(empty, x1) -> c14(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1)), INC(x1)) COUNT(node(z0, z1), x1) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1)), INC(x1)) COUNT(node(z0, z1), x1) -> c14(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1)), INC(x1)) COUNT(x0, 0) -> c14(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(empty, x1) -> c14(INC(x1)) COUNT(x0, 0) -> c8(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(x0, s(z0)) -> c8(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0)))) COUNT(empty, x1) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1))) COUNT(empty, x1) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c8(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c8(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, 0) -> c9(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(x0, s(z0)) -> c9(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0)))) COUNT(empty, x1) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1))) COUNT(empty, x1) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c9(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c9(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, 0) -> c10(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(x0, s(z0)) -> c10(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0)))) COUNT(empty, x1) -> c10(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1))) COUNT(empty, x1) -> c10(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c10(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c10(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c10(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, 0) -> c11(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(x0, s(z0)) -> c11(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0)))) COUNT(empty, x1) -> c11(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1))) COUNT(empty, x1) -> c11(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c11(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c11(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c11(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, 0) -> c12(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(x0, s(z0)) -> c12(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0)))) COUNT(empty, x1) -> c12(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1))) COUNT(empty, x1) -> c12(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c12(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c12(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c12(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, 0) -> c13(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(x0, s(z0)) -> c13(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0)))) COUNT(empty, x1) -> c13(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1))) COUNT(empty, x1) -> c13(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c13(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c13(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c13(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, s(0)) -> c14(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(0), s(s(0))), INC(s(0))) COUNT(x0, s(s(z0))) -> c14(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(s(z0)), s(s(inc(z0)))), INC(s(s(z0)))) COUNT(empty, s(x1)) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), s(x1), s(inc(x1))), INC(s(x1))) COUNT(empty, s(x1)) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(empty, s(x1)) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(empty, s(x1)) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(empty, s(x1)) -> c14(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(x0, s(x1)) -> c14(INC(s(x1))) COUNT(empty, s(x1)) -> c14(INC(s(x1))) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), empty)), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), empty)), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), empty)), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x0, inc(x0)), INC(x0)) COUNT(empty, 0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), 0, s(0))) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), z1)), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), z1)), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x2, inc(x2)), INC(x2)) COUNT(node(x0, x1), 0) -> c14(IF(isEmpty(node(x0, x1)), isEmpty(left(node(x0, x1))), right(node(x0, x1)), node(left(left(node(x0, x1))), node(right(left(node(x0, x1))), x1)), 0, s(0))) S tuples: INC(s(z0)) -> c7(INC(z0)) IF(false, false, z0, z1, z2, z3) -> c16(COUNT(z1, z2)) IF(false, true, z0, z1, z2, z3) -> c17(COUNT(z0, z3)) COUNT(empty, x1) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1)), INC(x1)) COUNT(node(z0, z1), x1) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1)), INC(x1)) COUNT(empty, x1) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1)), INC(x1)) COUNT(node(z0, z1), x1) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1)), INC(x1)) COUNT(empty, x1) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1)), INC(x1)) COUNT(node(z0, z1), x1) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1)), INC(x1)) COUNT(empty, x1) -> c14(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1)), INC(x1)) COUNT(node(z0, z1), x1) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1)), INC(x1)) COUNT(node(z0, z1), x1) -> c14(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1)), INC(x1)) COUNT(x0, 0) -> c14(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(x0, 0) -> c8(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(x0, s(z0)) -> c8(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0)))) COUNT(empty, x1) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1))) COUNT(empty, x1) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c8(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c8(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, 0) -> c9(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(x0, s(z0)) -> c9(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0)))) COUNT(empty, x1) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1))) COUNT(empty, x1) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c9(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c9(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, 0) -> c10(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(x0, s(z0)) -> c10(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0)))) COUNT(empty, x1) -> c10(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1))) COUNT(empty, x1) -> c10(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c10(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c10(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c10(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, 0) -> c11(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(x0, s(z0)) -> c11(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0)))) COUNT(empty, x1) -> c11(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1))) COUNT(empty, x1) -> c11(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c11(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c11(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c11(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, 0) -> c12(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(x0, s(z0)) -> c12(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0)))) COUNT(empty, x1) -> c12(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1))) COUNT(empty, x1) -> c12(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c12(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c12(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c12(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, 0) -> c13(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(x0, s(z0)) -> c13(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0)))) COUNT(empty, x1) -> c13(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1))) COUNT(empty, x1) -> c13(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c13(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c13(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c13(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, s(0)) -> c14(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(0), s(s(0))), INC(s(0))) COUNT(x0, s(s(z0))) -> c14(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(s(z0)), s(s(inc(z0)))), INC(s(s(z0)))) COUNT(empty, s(x1)) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), s(x1), s(inc(x1))), INC(s(x1))) COUNT(empty, s(x1)) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(empty, s(x1)) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(empty, s(x1)) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(empty, s(x1)) -> c14(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), empty)), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), empty)), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), empty)), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x0, inc(x0)), INC(x0)) COUNT(empty, 0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), 0, s(0))) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), z1)), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), z1)), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x2, inc(x2)), INC(x2)) COUNT(node(x0, x1), 0) -> c14(IF(isEmpty(node(x0, x1)), isEmpty(left(node(x0, x1))), right(node(x0, x1)), node(left(left(node(x0, x1))), node(right(left(node(x0, x1))), x1)), 0, s(0))) K tuples: COUNT(empty, x1) -> c14(INC(x1)) COUNT(x0, s(x1)) -> c14(INC(s(x1))) COUNT(empty, s(x1)) -> c14(INC(s(x1))) Defined Rule Symbols: isEmpty_1, left_1, right_1, inc_1 Defined Pair Symbols: INC_1, IF_6, COUNT_2 Compound Symbols: c7_1, c16_1, c17_1, c14_2, c14_1, c8_1, c9_1, c10_1, c11_1, c12_1, c13_1 ---------------------------------------- (109) CdtNarrowingProof (BOTH BOUNDS(ID, ID)) Use narrowing to replace COUNT(empty, x1) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1)), INC(x1)) by COUNT(empty, 0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), 0, s(0)), INC(0)) COUNT(empty, s(z0)) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), s(z0), s(inc(z0))), INC(s(z0))) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), empty)), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(empty, right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(empty), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(empty), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(true, isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x0, inc(x0)), INC(x0)) ---------------------------------------- (110) Obligation: Complexity Dependency Tuples Problem Rules: isEmpty(empty) -> true isEmpty(node(z0, z1)) -> false left(empty) -> empty left(node(z0, z1)) -> z0 right(empty) -> empty right(node(z0, z1)) -> z1 inc(0) -> s(0) inc(s(z0)) -> s(inc(z0)) Tuples: INC(s(z0)) -> c7(INC(z0)) IF(false, false, z0, z1, z2, z3) -> c16(COUNT(z1, z2)) IF(false, true, z0, z1, z2, z3) -> c17(COUNT(z0, z3)) COUNT(node(z0, z1), x1) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1)), INC(x1)) COUNT(empty, x1) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1)), INC(x1)) COUNT(node(z0, z1), x1) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1)), INC(x1)) COUNT(empty, x1) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1)), INC(x1)) COUNT(node(z0, z1), x1) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1)), INC(x1)) COUNT(empty, x1) -> c14(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1)), INC(x1)) COUNT(node(z0, z1), x1) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1)), INC(x1)) COUNT(node(z0, z1), x1) -> c14(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1)), INC(x1)) COUNT(x0, 0) -> c14(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(empty, x1) -> c14(INC(x1)) COUNT(x0, 0) -> c8(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(x0, s(z0)) -> c8(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0)))) COUNT(empty, x1) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1))) COUNT(empty, x1) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c8(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c8(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, 0) -> c9(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(x0, s(z0)) -> c9(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0)))) COUNT(empty, x1) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1))) COUNT(empty, x1) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c9(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c9(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, 0) -> c10(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(x0, s(z0)) -> c10(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0)))) COUNT(empty, x1) -> c10(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1))) COUNT(empty, x1) -> c10(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c10(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c10(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c10(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, 0) -> c11(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(x0, s(z0)) -> c11(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0)))) COUNT(empty, x1) -> c11(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1))) COUNT(empty, x1) -> c11(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c11(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c11(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c11(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, 0) -> c12(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(x0, s(z0)) -> c12(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0)))) COUNT(empty, x1) -> c12(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1))) COUNT(empty, x1) -> c12(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c12(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c12(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c12(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, 0) -> c13(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(x0, s(z0)) -> c13(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0)))) COUNT(empty, x1) -> c13(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1))) COUNT(empty, x1) -> c13(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c13(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c13(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c13(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, s(0)) -> c14(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(0), s(s(0))), INC(s(0))) COUNT(x0, s(s(z0))) -> c14(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(s(z0)), s(s(inc(z0)))), INC(s(s(z0)))) COUNT(empty, s(x1)) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), s(x1), s(inc(x1))), INC(s(x1))) COUNT(empty, s(x1)) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(empty, s(x1)) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(empty, s(x1)) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(empty, s(x1)) -> c14(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(x0, s(x1)) -> c14(INC(s(x1))) COUNT(empty, s(x1)) -> c14(INC(s(x1))) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), empty)), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), empty)), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), empty)), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x0, inc(x0)), INC(x0)) COUNT(empty, 0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), 0, s(0))) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), z1)), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), z1)), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x2, inc(x2)), INC(x2)) COUNT(node(x0, x1), 0) -> c14(IF(isEmpty(node(x0, x1)), isEmpty(left(node(x0, x1))), right(node(x0, x1)), node(left(left(node(x0, x1))), node(right(left(node(x0, x1))), x1)), 0, s(0))) COUNT(empty, 0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), 0, s(0)), INC(0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(empty, right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(empty), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(empty), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(true, isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x0, inc(x0)), INC(x0)) S tuples: INC(s(z0)) -> c7(INC(z0)) IF(false, false, z0, z1, z2, z3) -> c16(COUNT(z1, z2)) IF(false, true, z0, z1, z2, z3) -> c17(COUNT(z0, z3)) COUNT(node(z0, z1), x1) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1)), INC(x1)) COUNT(empty, x1) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1)), INC(x1)) COUNT(node(z0, z1), x1) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1)), INC(x1)) COUNT(empty, x1) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1)), INC(x1)) COUNT(node(z0, z1), x1) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1)), INC(x1)) COUNT(empty, x1) -> c14(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1)), INC(x1)) COUNT(node(z0, z1), x1) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1)), INC(x1)) COUNT(node(z0, z1), x1) -> c14(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1)), INC(x1)) COUNT(x0, 0) -> c14(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(x0, 0) -> c8(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(x0, s(z0)) -> c8(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0)))) COUNT(empty, x1) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1))) COUNT(empty, x1) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c8(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c8(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, 0) -> c9(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(x0, s(z0)) -> c9(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0)))) COUNT(empty, x1) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1))) COUNT(empty, x1) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c9(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c9(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, 0) -> c10(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(x0, s(z0)) -> c10(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0)))) COUNT(empty, x1) -> c10(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1))) COUNT(empty, x1) -> c10(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c10(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c10(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c10(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, 0) -> c11(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(x0, s(z0)) -> c11(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0)))) COUNT(empty, x1) -> c11(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1))) COUNT(empty, x1) -> c11(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c11(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c11(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c11(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, 0) -> c12(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(x0, s(z0)) -> c12(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0)))) COUNT(empty, x1) -> c12(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1))) COUNT(empty, x1) -> c12(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c12(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c12(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c12(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, 0) -> c13(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(x0, s(z0)) -> c13(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0)))) COUNT(empty, x1) -> c13(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1))) COUNT(empty, x1) -> c13(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c13(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c13(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c13(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, s(0)) -> c14(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(0), s(s(0))), INC(s(0))) COUNT(x0, s(s(z0))) -> c14(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(s(z0)), s(s(inc(z0)))), INC(s(s(z0)))) COUNT(empty, s(x1)) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), s(x1), s(inc(x1))), INC(s(x1))) COUNT(empty, s(x1)) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(empty, s(x1)) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(empty, s(x1)) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(empty, s(x1)) -> c14(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), empty)), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), empty)), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), empty)), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x0, inc(x0)), INC(x0)) COUNT(empty, 0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), 0, s(0))) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), z1)), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), z1)), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x2, inc(x2)), INC(x2)) COUNT(node(x0, x1), 0) -> c14(IF(isEmpty(node(x0, x1)), isEmpty(left(node(x0, x1))), right(node(x0, x1)), node(left(left(node(x0, x1))), node(right(left(node(x0, x1))), x1)), 0, s(0))) COUNT(empty, 0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), 0, s(0)), INC(0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(empty, right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(empty), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(empty), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(true, isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x0, inc(x0)), INC(x0)) K tuples: COUNT(empty, x1) -> c14(INC(x1)) COUNT(x0, s(x1)) -> c14(INC(s(x1))) COUNT(empty, s(x1)) -> c14(INC(s(x1))) Defined Rule Symbols: isEmpty_1, left_1, right_1, inc_1 Defined Pair Symbols: INC_1, IF_6, COUNT_2 Compound Symbols: c7_1, c16_1, c17_1, c14_2, c14_1, c8_1, c9_1, c10_1, c11_1, c12_1, c13_1 ---------------------------------------- (111) CdtRhsSimplificationProcessorProof (BOTH BOUNDS(ID, ID)) Removed 2 trailing tuple parts ---------------------------------------- (112) Obligation: Complexity Dependency Tuples Problem Rules: isEmpty(empty) -> true isEmpty(node(z0, z1)) -> false left(empty) -> empty left(node(z0, z1)) -> z0 right(empty) -> empty right(node(z0, z1)) -> z1 inc(0) -> s(0) inc(s(z0)) -> s(inc(z0)) Tuples: INC(s(z0)) -> c7(INC(z0)) IF(false, false, z0, z1, z2, z3) -> c16(COUNT(z1, z2)) IF(false, true, z0, z1, z2, z3) -> c17(COUNT(z0, z3)) COUNT(node(z0, z1), x1) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1)), INC(x1)) COUNT(empty, x1) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1)), INC(x1)) COUNT(node(z0, z1), x1) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1)), INC(x1)) COUNT(empty, x1) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1)), INC(x1)) COUNT(node(z0, z1), x1) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1)), INC(x1)) COUNT(empty, x1) -> c14(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1)), INC(x1)) COUNT(node(z0, z1), x1) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1)), INC(x1)) COUNT(node(z0, z1), x1) -> c14(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1)), INC(x1)) COUNT(x0, 0) -> c14(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(empty, x1) -> c14(INC(x1)) COUNT(x0, 0) -> c8(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(x0, s(z0)) -> c8(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0)))) COUNT(empty, x1) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1))) COUNT(empty, x1) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c8(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c8(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, 0) -> c9(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(x0, s(z0)) -> c9(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0)))) COUNT(empty, x1) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1))) COUNT(empty, x1) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c9(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c9(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, 0) -> c10(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(x0, s(z0)) -> c10(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0)))) COUNT(empty, x1) -> c10(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1))) COUNT(empty, x1) -> c10(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c10(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c10(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c10(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, 0) -> c11(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(x0, s(z0)) -> c11(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0)))) COUNT(empty, x1) -> c11(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1))) COUNT(empty, x1) -> c11(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c11(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c11(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c11(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, 0) -> c12(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(x0, s(z0)) -> c12(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0)))) COUNT(empty, x1) -> c12(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1))) COUNT(empty, x1) -> c12(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c12(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c12(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c12(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, 0) -> c13(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(x0, s(z0)) -> c13(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0)))) COUNT(empty, x1) -> c13(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1))) COUNT(empty, x1) -> c13(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c13(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c13(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c13(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, s(0)) -> c14(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(0), s(s(0))), INC(s(0))) COUNT(x0, s(s(z0))) -> c14(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(s(z0)), s(s(inc(z0)))), INC(s(s(z0)))) COUNT(empty, s(x1)) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), s(x1), s(inc(x1))), INC(s(x1))) COUNT(empty, s(x1)) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(empty, s(x1)) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(empty, s(x1)) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(empty, s(x1)) -> c14(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(x0, s(x1)) -> c14(INC(s(x1))) COUNT(empty, s(x1)) -> c14(INC(s(x1))) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), empty)), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), empty)), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), empty)), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x0, inc(x0)), INC(x0)) COUNT(empty, 0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), 0, s(0))) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), z1)), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), z1)), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x2, inc(x2)), INC(x2)) COUNT(node(x0, x1), 0) -> c14(IF(isEmpty(node(x0, x1)), isEmpty(left(node(x0, x1))), right(node(x0, x1)), node(left(left(node(x0, x1))), node(right(left(node(x0, x1))), x1)), 0, s(0))) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(empty, right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(empty), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(empty), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, 0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), 0, s(0))) S tuples: INC(s(z0)) -> c7(INC(z0)) IF(false, false, z0, z1, z2, z3) -> c16(COUNT(z1, z2)) IF(false, true, z0, z1, z2, z3) -> c17(COUNT(z0, z3)) COUNT(node(z0, z1), x1) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1)), INC(x1)) COUNT(empty, x1) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1)), INC(x1)) COUNT(node(z0, z1), x1) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1)), INC(x1)) COUNT(empty, x1) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1)), INC(x1)) COUNT(node(z0, z1), x1) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1)), INC(x1)) COUNT(empty, x1) -> c14(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1)), INC(x1)) COUNT(node(z0, z1), x1) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1)), INC(x1)) COUNT(node(z0, z1), x1) -> c14(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1)), INC(x1)) COUNT(x0, 0) -> c14(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(x0, 0) -> c8(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(x0, s(z0)) -> c8(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0)))) COUNT(empty, x1) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1))) COUNT(empty, x1) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c8(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c8(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, 0) -> c9(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(x0, s(z0)) -> c9(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0)))) COUNT(empty, x1) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1))) COUNT(empty, x1) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c9(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c9(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, 0) -> c10(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(x0, s(z0)) -> c10(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0)))) COUNT(empty, x1) -> c10(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1))) COUNT(empty, x1) -> c10(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c10(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c10(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c10(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, 0) -> c11(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(x0, s(z0)) -> c11(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0)))) COUNT(empty, x1) -> c11(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1))) COUNT(empty, x1) -> c11(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c11(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c11(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c11(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, 0) -> c12(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(x0, s(z0)) -> c12(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0)))) COUNT(empty, x1) -> c12(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1))) COUNT(empty, x1) -> c12(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c12(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c12(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c12(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, 0) -> c13(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(x0, s(z0)) -> c13(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0)))) COUNT(empty, x1) -> c13(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1))) COUNT(empty, x1) -> c13(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c13(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c13(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c13(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, s(0)) -> c14(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(0), s(s(0))), INC(s(0))) COUNT(x0, s(s(z0))) -> c14(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(s(z0)), s(s(inc(z0)))), INC(s(s(z0)))) COUNT(empty, s(x1)) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), s(x1), s(inc(x1))), INC(s(x1))) COUNT(empty, s(x1)) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(empty, s(x1)) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(empty, s(x1)) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(empty, s(x1)) -> c14(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), empty)), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), empty)), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), empty)), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x0, inc(x0)), INC(x0)) COUNT(empty, 0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), 0, s(0))) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), z1)), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), z1)), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x2, inc(x2)), INC(x2)) COUNT(node(x0, x1), 0) -> c14(IF(isEmpty(node(x0, x1)), isEmpty(left(node(x0, x1))), right(node(x0, x1)), node(left(left(node(x0, x1))), node(right(left(node(x0, x1))), x1)), 0, s(0))) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(empty, right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(empty), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(empty), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, 0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), 0, s(0))) COUNT(empty, x0) -> c14(INC(x0)) K tuples: COUNT(empty, x1) -> c14(INC(x1)) COUNT(x0, s(x1)) -> c14(INC(s(x1))) COUNT(empty, s(x1)) -> c14(INC(s(x1))) Defined Rule Symbols: isEmpty_1, left_1, right_1, inc_1 Defined Pair Symbols: INC_1, IF_6, COUNT_2 Compound Symbols: c7_1, c16_1, c17_1, c14_2, c14_1, c8_1, c9_1, c10_1, c11_1, c12_1, c13_1 ---------------------------------------- (113) CdtKnowledgeProof (BOTH BOUNDS(ID, ID)) The following tuples could be moved from S to K by knowledge propagation: COUNT(empty, x1) -> c14(INC(x1)) COUNT(empty, x0) -> c14(INC(x0)) COUNT(empty, x0) -> c14(INC(x0)) ---------------------------------------- (114) Obligation: Complexity Dependency Tuples Problem Rules: isEmpty(empty) -> true isEmpty(node(z0, z1)) -> false left(empty) -> empty left(node(z0, z1)) -> z0 right(empty) -> empty right(node(z0, z1)) -> z1 inc(0) -> s(0) inc(s(z0)) -> s(inc(z0)) Tuples: INC(s(z0)) -> c7(INC(z0)) IF(false, false, z0, z1, z2, z3) -> c16(COUNT(z1, z2)) IF(false, true, z0, z1, z2, z3) -> c17(COUNT(z0, z3)) COUNT(node(z0, z1), x1) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1)), INC(x1)) COUNT(empty, x1) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1)), INC(x1)) COUNT(node(z0, z1), x1) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1)), INC(x1)) COUNT(empty, x1) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1)), INC(x1)) COUNT(node(z0, z1), x1) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1)), INC(x1)) COUNT(empty, x1) -> c14(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1)), INC(x1)) COUNT(node(z0, z1), x1) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1)), INC(x1)) COUNT(node(z0, z1), x1) -> c14(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1)), INC(x1)) COUNT(x0, 0) -> c14(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(empty, x1) -> c14(INC(x1)) COUNT(x0, 0) -> c8(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(x0, s(z0)) -> c8(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0)))) COUNT(empty, x1) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1))) COUNT(empty, x1) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c8(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c8(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, 0) -> c9(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(x0, s(z0)) -> c9(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0)))) COUNT(empty, x1) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1))) COUNT(empty, x1) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c9(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c9(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, 0) -> c10(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(x0, s(z0)) -> c10(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0)))) COUNT(empty, x1) -> c10(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1))) COUNT(empty, x1) -> c10(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c10(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c10(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c10(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, 0) -> c11(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(x0, s(z0)) -> c11(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0)))) COUNT(empty, x1) -> c11(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1))) COUNT(empty, x1) -> c11(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c11(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c11(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c11(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, 0) -> c12(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(x0, s(z0)) -> c12(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0)))) COUNT(empty, x1) -> c12(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1))) COUNT(empty, x1) -> c12(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c12(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c12(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c12(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, 0) -> c13(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(x0, s(z0)) -> c13(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0)))) COUNT(empty, x1) -> c13(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1))) COUNT(empty, x1) -> c13(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c13(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c13(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c13(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, s(0)) -> c14(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(0), s(s(0))), INC(s(0))) COUNT(x0, s(s(z0))) -> c14(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(s(z0)), s(s(inc(z0)))), INC(s(s(z0)))) COUNT(empty, s(x1)) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), s(x1), s(inc(x1))), INC(s(x1))) COUNT(empty, s(x1)) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(empty, s(x1)) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(empty, s(x1)) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(empty, s(x1)) -> c14(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(x0, s(x1)) -> c14(INC(s(x1))) COUNT(empty, s(x1)) -> c14(INC(s(x1))) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), empty)), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), empty)), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), empty)), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x0, inc(x0)), INC(x0)) COUNT(empty, 0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), 0, s(0))) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), z1)), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), z1)), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x2, inc(x2)), INC(x2)) COUNT(node(x0, x1), 0) -> c14(IF(isEmpty(node(x0, x1)), isEmpty(left(node(x0, x1))), right(node(x0, x1)), node(left(left(node(x0, x1))), node(right(left(node(x0, x1))), x1)), 0, s(0))) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(empty, right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(empty), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(empty), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, 0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), 0, s(0))) S tuples: INC(s(z0)) -> c7(INC(z0)) IF(false, false, z0, z1, z2, z3) -> c16(COUNT(z1, z2)) IF(false, true, z0, z1, z2, z3) -> c17(COUNT(z0, z3)) COUNT(node(z0, z1), x1) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1)), INC(x1)) COUNT(empty, x1) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1)), INC(x1)) COUNT(node(z0, z1), x1) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1)), INC(x1)) COUNT(empty, x1) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1)), INC(x1)) COUNT(node(z0, z1), x1) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1)), INC(x1)) COUNT(empty, x1) -> c14(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1)), INC(x1)) COUNT(node(z0, z1), x1) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1)), INC(x1)) COUNT(node(z0, z1), x1) -> c14(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1)), INC(x1)) COUNT(x0, 0) -> c14(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(x0, 0) -> c8(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(x0, s(z0)) -> c8(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0)))) COUNT(empty, x1) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1))) COUNT(empty, x1) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c8(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c8(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, 0) -> c9(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(x0, s(z0)) -> c9(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0)))) COUNT(empty, x1) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1))) COUNT(empty, x1) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c9(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c9(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, 0) -> c10(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(x0, s(z0)) -> c10(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0)))) COUNT(empty, x1) -> c10(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1))) COUNT(empty, x1) -> c10(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c10(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c10(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c10(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, 0) -> c11(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(x0, s(z0)) -> c11(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0)))) COUNT(empty, x1) -> c11(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1))) COUNT(empty, x1) -> c11(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c11(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c11(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c11(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, 0) -> c12(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(x0, s(z0)) -> c12(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0)))) COUNT(empty, x1) -> c12(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1))) COUNT(empty, x1) -> c12(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c12(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c12(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c12(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, 0) -> c13(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(x0, s(z0)) -> c13(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0)))) COUNT(empty, x1) -> c13(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1))) COUNT(empty, x1) -> c13(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c13(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c13(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c13(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, s(0)) -> c14(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(0), s(s(0))), INC(s(0))) COUNT(x0, s(s(z0))) -> c14(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(s(z0)), s(s(inc(z0)))), INC(s(s(z0)))) COUNT(empty, s(x1)) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), s(x1), s(inc(x1))), INC(s(x1))) COUNT(empty, s(x1)) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(empty, s(x1)) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(empty, s(x1)) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(empty, s(x1)) -> c14(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), empty)), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), empty)), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), empty)), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x0, inc(x0)), INC(x0)) COUNT(empty, 0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), 0, s(0))) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), z1)), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), z1)), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x2, inc(x2)), INC(x2)) COUNT(node(x0, x1), 0) -> c14(IF(isEmpty(node(x0, x1)), isEmpty(left(node(x0, x1))), right(node(x0, x1)), node(left(left(node(x0, x1))), node(right(left(node(x0, x1))), x1)), 0, s(0))) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(empty, right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(empty), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(empty), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, 0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), 0, s(0))) K tuples: COUNT(empty, x1) -> c14(INC(x1)) COUNT(x0, s(x1)) -> c14(INC(s(x1))) COUNT(empty, s(x1)) -> c14(INC(s(x1))) Defined Rule Symbols: isEmpty_1, left_1, right_1, inc_1 Defined Pair Symbols: INC_1, IF_6, COUNT_2 Compound Symbols: c7_1, c16_1, c17_1, c14_2, c14_1, c8_1, c9_1, c10_1, c11_1, c12_1, c13_1 ---------------------------------------- (115) CdtNarrowingProof (BOTH BOUNDS(ID, ID)) Use narrowing to replace COUNT(node(z0, z1), x1) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1)), INC(x1)) by COUNT(node(x0, x1), 0) -> c14(IF(isEmpty(node(x0, x1)), isEmpty(left(node(x0, x1))), right(node(x0, x1)), node(left(left(node(x0, x1))), node(right(x0), right(node(x0, x1)))), 0, s(0)), INC(0)) COUNT(node(x0, x1), s(z0)) -> c14(IF(isEmpty(node(x0, x1)), isEmpty(left(node(x0, x1))), right(node(x0, x1)), node(left(left(node(x0, x1))), node(right(x0), right(node(x0, x1)))), s(z0), s(inc(z0))), INC(s(z0))) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), z1)), x2, inc(x2)), INC(x2)) COUNT(node(node(z0, z1), x1), x2) -> c14(IF(isEmpty(node(node(z0, z1), x1)), isEmpty(left(node(node(z0, z1), x1))), right(node(node(z0, z1), x1)), node(left(left(node(node(z0, z1), x1))), node(z1, right(node(node(z0, z1), x1)))), x2, inc(x2)), INC(x2)) COUNT(node(empty, x1), x2) -> c14(IF(isEmpty(node(empty, x1)), isEmpty(left(node(empty, x1))), right(node(empty, x1)), node(left(left(node(empty, x1))), node(empty, right(node(empty, x1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(z0), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) ---------------------------------------- (116) Obligation: Complexity Dependency Tuples Problem Rules: isEmpty(empty) -> true isEmpty(node(z0, z1)) -> false left(empty) -> empty left(node(z0, z1)) -> z0 right(empty) -> empty right(node(z0, z1)) -> z1 inc(0) -> s(0) inc(s(z0)) -> s(inc(z0)) Tuples: INC(s(z0)) -> c7(INC(z0)) IF(false, false, z0, z1, z2, z3) -> c16(COUNT(z1, z2)) IF(false, true, z0, z1, z2, z3) -> c17(COUNT(z0, z3)) COUNT(empty, x1) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1)), INC(x1)) COUNT(node(z0, z1), x1) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1)), INC(x1)) COUNT(empty, x1) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1)), INC(x1)) COUNT(node(z0, z1), x1) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1)), INC(x1)) COUNT(empty, x1) -> c14(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1)), INC(x1)) COUNT(node(z0, z1), x1) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1)), INC(x1)) COUNT(node(z0, z1), x1) -> c14(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1)), INC(x1)) COUNT(x0, 0) -> c14(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(empty, x1) -> c14(INC(x1)) COUNT(x0, 0) -> c8(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(x0, s(z0)) -> c8(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0)))) COUNT(empty, x1) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1))) COUNT(empty, x1) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c8(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c8(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, 0) -> c9(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(x0, s(z0)) -> c9(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0)))) COUNT(empty, x1) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1))) COUNT(empty, x1) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c9(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c9(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, 0) -> c10(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(x0, s(z0)) -> c10(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0)))) COUNT(empty, x1) -> c10(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1))) COUNT(empty, x1) -> c10(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c10(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c10(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c10(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, 0) -> c11(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(x0, s(z0)) -> c11(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0)))) COUNT(empty, x1) -> c11(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1))) COUNT(empty, x1) -> c11(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c11(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c11(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c11(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, 0) -> c12(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(x0, s(z0)) -> c12(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0)))) COUNT(empty, x1) -> c12(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1))) COUNT(empty, x1) -> c12(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c12(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c12(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c12(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, 0) -> c13(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(x0, s(z0)) -> c13(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0)))) COUNT(empty, x1) -> c13(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1))) COUNT(empty, x1) -> c13(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c13(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c13(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c13(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, s(0)) -> c14(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(0), s(s(0))), INC(s(0))) COUNT(x0, s(s(z0))) -> c14(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(s(z0)), s(s(inc(z0)))), INC(s(s(z0)))) COUNT(empty, s(x1)) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), s(x1), s(inc(x1))), INC(s(x1))) COUNT(empty, s(x1)) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(empty, s(x1)) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(empty, s(x1)) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(empty, s(x1)) -> c14(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(x0, s(x1)) -> c14(INC(s(x1))) COUNT(empty, s(x1)) -> c14(INC(s(x1))) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), empty)), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), empty)), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), empty)), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x0, inc(x0)), INC(x0)) COUNT(empty, 0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), 0, s(0))) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), z1)), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), z1)), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x2, inc(x2)), INC(x2)) COUNT(node(x0, x1), 0) -> c14(IF(isEmpty(node(x0, x1)), isEmpty(left(node(x0, x1))), right(node(x0, x1)), node(left(left(node(x0, x1))), node(right(left(node(x0, x1))), x1)), 0, s(0))) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(empty, right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(empty), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(empty), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, 0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), 0, s(0))) COUNT(node(x0, x1), 0) -> c14(IF(isEmpty(node(x0, x1)), isEmpty(left(node(x0, x1))), right(node(x0, x1)), node(left(left(node(x0, x1))), node(right(x0), right(node(x0, x1)))), 0, s(0)), INC(0)) COUNT(node(node(z0, z1), x1), x2) -> c14(IF(isEmpty(node(node(z0, z1), x1)), isEmpty(left(node(node(z0, z1), x1))), right(node(node(z0, z1), x1)), node(left(left(node(node(z0, z1), x1))), node(z1, right(node(node(z0, z1), x1)))), x2, inc(x2)), INC(x2)) COUNT(node(empty, x1), x2) -> c14(IF(isEmpty(node(empty, x1)), isEmpty(left(node(empty, x1))), right(node(empty, x1)), node(left(left(node(empty, x1))), node(empty, right(node(empty, x1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(z0), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) S tuples: INC(s(z0)) -> c7(INC(z0)) IF(false, false, z0, z1, z2, z3) -> c16(COUNT(z1, z2)) IF(false, true, z0, z1, z2, z3) -> c17(COUNT(z0, z3)) COUNT(empty, x1) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1)), INC(x1)) COUNT(node(z0, z1), x1) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1)), INC(x1)) COUNT(empty, x1) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1)), INC(x1)) COUNT(node(z0, z1), x1) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1)), INC(x1)) COUNT(empty, x1) -> c14(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1)), INC(x1)) COUNT(node(z0, z1), x1) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1)), INC(x1)) COUNT(node(z0, z1), x1) -> c14(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1)), INC(x1)) COUNT(x0, 0) -> c14(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(x0, 0) -> c8(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(x0, s(z0)) -> c8(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0)))) COUNT(empty, x1) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1))) COUNT(empty, x1) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c8(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c8(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, 0) -> c9(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(x0, s(z0)) -> c9(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0)))) COUNT(empty, x1) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1))) COUNT(empty, x1) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c9(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c9(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, 0) -> c10(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(x0, s(z0)) -> c10(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0)))) COUNT(empty, x1) -> c10(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1))) COUNT(empty, x1) -> c10(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c10(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c10(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c10(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, 0) -> c11(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(x0, s(z0)) -> c11(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0)))) COUNT(empty, x1) -> c11(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1))) COUNT(empty, x1) -> c11(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c11(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c11(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c11(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, 0) -> c12(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(x0, s(z0)) -> c12(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0)))) COUNT(empty, x1) -> c12(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1))) COUNT(empty, x1) -> c12(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c12(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c12(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c12(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, 0) -> c13(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(x0, s(z0)) -> c13(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0)))) COUNT(empty, x1) -> c13(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1))) COUNT(empty, x1) -> c13(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c13(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c13(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c13(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, s(0)) -> c14(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(0), s(s(0))), INC(s(0))) COUNT(x0, s(s(z0))) -> c14(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(s(z0)), s(s(inc(z0)))), INC(s(s(z0)))) COUNT(empty, s(x1)) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), s(x1), s(inc(x1))), INC(s(x1))) COUNT(empty, s(x1)) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(empty, s(x1)) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(empty, s(x1)) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(empty, s(x1)) -> c14(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), empty)), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), empty)), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), empty)), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x0, inc(x0)), INC(x0)) COUNT(empty, 0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), 0, s(0))) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), z1)), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), z1)), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x2, inc(x2)), INC(x2)) COUNT(node(x0, x1), 0) -> c14(IF(isEmpty(node(x0, x1)), isEmpty(left(node(x0, x1))), right(node(x0, x1)), node(left(left(node(x0, x1))), node(right(left(node(x0, x1))), x1)), 0, s(0))) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(empty, right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(empty), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(empty), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, 0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), 0, s(0))) COUNT(node(x0, x1), 0) -> c14(IF(isEmpty(node(x0, x1)), isEmpty(left(node(x0, x1))), right(node(x0, x1)), node(left(left(node(x0, x1))), node(right(x0), right(node(x0, x1)))), 0, s(0)), INC(0)) COUNT(node(node(z0, z1), x1), x2) -> c14(IF(isEmpty(node(node(z0, z1), x1)), isEmpty(left(node(node(z0, z1), x1))), right(node(node(z0, z1), x1)), node(left(left(node(node(z0, z1), x1))), node(z1, right(node(node(z0, z1), x1)))), x2, inc(x2)), INC(x2)) COUNT(node(empty, x1), x2) -> c14(IF(isEmpty(node(empty, x1)), isEmpty(left(node(empty, x1))), right(node(empty, x1)), node(left(left(node(empty, x1))), node(empty, right(node(empty, x1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(z0), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) K tuples: COUNT(empty, x1) -> c14(INC(x1)) COUNT(x0, s(x1)) -> c14(INC(s(x1))) COUNT(empty, s(x1)) -> c14(INC(s(x1))) Defined Rule Symbols: isEmpty_1, left_1, right_1, inc_1 Defined Pair Symbols: INC_1, IF_6, COUNT_2 Compound Symbols: c7_1, c16_1, c17_1, c14_2, c14_1, c8_1, c9_1, c10_1, c11_1, c12_1, c13_1 ---------------------------------------- (117) CdtRhsSimplificationProcessorProof (BOTH BOUNDS(ID, ID)) Removed 1 trailing tuple parts ---------------------------------------- (118) Obligation: Complexity Dependency Tuples Problem Rules: isEmpty(empty) -> true isEmpty(node(z0, z1)) -> false left(empty) -> empty left(node(z0, z1)) -> z0 right(empty) -> empty right(node(z0, z1)) -> z1 inc(0) -> s(0) inc(s(z0)) -> s(inc(z0)) Tuples: INC(s(z0)) -> c7(INC(z0)) IF(false, false, z0, z1, z2, z3) -> c16(COUNT(z1, z2)) IF(false, true, z0, z1, z2, z3) -> c17(COUNT(z0, z3)) COUNT(empty, x1) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1)), INC(x1)) COUNT(node(z0, z1), x1) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1)), INC(x1)) COUNT(empty, x1) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1)), INC(x1)) COUNT(node(z0, z1), x1) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1)), INC(x1)) COUNT(empty, x1) -> c14(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1)), INC(x1)) COUNT(node(z0, z1), x1) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1)), INC(x1)) COUNT(node(z0, z1), x1) -> c14(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1)), INC(x1)) COUNT(x0, 0) -> c14(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(empty, x1) -> c14(INC(x1)) COUNT(x0, 0) -> c8(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(x0, s(z0)) -> c8(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0)))) COUNT(empty, x1) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1))) COUNT(empty, x1) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c8(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c8(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, 0) -> c9(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(x0, s(z0)) -> c9(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0)))) COUNT(empty, x1) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1))) COUNT(empty, x1) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c9(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c9(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, 0) -> c10(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(x0, s(z0)) -> c10(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0)))) COUNT(empty, x1) -> c10(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1))) COUNT(empty, x1) -> c10(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c10(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c10(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c10(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, 0) -> c11(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(x0, s(z0)) -> c11(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0)))) COUNT(empty, x1) -> c11(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1))) COUNT(empty, x1) -> c11(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c11(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c11(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c11(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, 0) -> c12(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(x0, s(z0)) -> c12(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0)))) COUNT(empty, x1) -> c12(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1))) COUNT(empty, x1) -> c12(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c12(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c12(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c12(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, 0) -> c13(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(x0, s(z0)) -> c13(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0)))) COUNT(empty, x1) -> c13(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1))) COUNT(empty, x1) -> c13(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c13(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c13(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c13(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, s(0)) -> c14(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(0), s(s(0))), INC(s(0))) COUNT(x0, s(s(z0))) -> c14(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(s(z0)), s(s(inc(z0)))), INC(s(s(z0)))) COUNT(empty, s(x1)) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), s(x1), s(inc(x1))), INC(s(x1))) COUNT(empty, s(x1)) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(empty, s(x1)) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(empty, s(x1)) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(empty, s(x1)) -> c14(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(x0, s(x1)) -> c14(INC(s(x1))) COUNT(empty, s(x1)) -> c14(INC(s(x1))) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), empty)), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), empty)), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), empty)), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x0, inc(x0)), INC(x0)) COUNT(empty, 0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), 0, s(0))) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), z1)), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), z1)), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x2, inc(x2)), INC(x2)) COUNT(node(x0, x1), 0) -> c14(IF(isEmpty(node(x0, x1)), isEmpty(left(node(x0, x1))), right(node(x0, x1)), node(left(left(node(x0, x1))), node(right(left(node(x0, x1))), x1)), 0, s(0))) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(empty, right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(empty), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(empty), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, 0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), 0, s(0))) COUNT(node(node(z0, z1), x1), x2) -> c14(IF(isEmpty(node(node(z0, z1), x1)), isEmpty(left(node(node(z0, z1), x1))), right(node(node(z0, z1), x1)), node(left(left(node(node(z0, z1), x1))), node(z1, right(node(node(z0, z1), x1)))), x2, inc(x2)), INC(x2)) COUNT(node(empty, x1), x2) -> c14(IF(isEmpty(node(empty, x1)), isEmpty(left(node(empty, x1))), right(node(empty, x1)), node(left(left(node(empty, x1))), node(empty, right(node(empty, x1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(z0), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(x0, x1), 0) -> c14(IF(isEmpty(node(x0, x1)), isEmpty(left(node(x0, x1))), right(node(x0, x1)), node(left(left(node(x0, x1))), node(right(x0), right(node(x0, x1)))), 0, s(0))) S tuples: INC(s(z0)) -> c7(INC(z0)) IF(false, false, z0, z1, z2, z3) -> c16(COUNT(z1, z2)) IF(false, true, z0, z1, z2, z3) -> c17(COUNT(z0, z3)) COUNT(empty, x1) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1)), INC(x1)) COUNT(node(z0, z1), x1) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1)), INC(x1)) COUNT(empty, x1) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1)), INC(x1)) COUNT(node(z0, z1), x1) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1)), INC(x1)) COUNT(empty, x1) -> c14(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1)), INC(x1)) COUNT(node(z0, z1), x1) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1)), INC(x1)) COUNT(node(z0, z1), x1) -> c14(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1)), INC(x1)) COUNT(x0, 0) -> c14(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(x0, 0) -> c8(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(x0, s(z0)) -> c8(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0)))) COUNT(empty, x1) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1))) COUNT(empty, x1) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c8(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c8(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, 0) -> c9(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(x0, s(z0)) -> c9(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0)))) COUNT(empty, x1) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1))) COUNT(empty, x1) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c9(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c9(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, 0) -> c10(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(x0, s(z0)) -> c10(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0)))) COUNT(empty, x1) -> c10(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1))) COUNT(empty, x1) -> c10(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c10(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c10(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c10(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, 0) -> c11(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(x0, s(z0)) -> c11(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0)))) COUNT(empty, x1) -> c11(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1))) COUNT(empty, x1) -> c11(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c11(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c11(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c11(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, 0) -> c12(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(x0, s(z0)) -> c12(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0)))) COUNT(empty, x1) -> c12(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1))) COUNT(empty, x1) -> c12(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c12(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c12(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c12(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, 0) -> c13(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(x0, s(z0)) -> c13(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0)))) COUNT(empty, x1) -> c13(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1))) COUNT(empty, x1) -> c13(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c13(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c13(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c13(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, s(0)) -> c14(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(0), s(s(0))), INC(s(0))) COUNT(x0, s(s(z0))) -> c14(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(s(z0)), s(s(inc(z0)))), INC(s(s(z0)))) COUNT(empty, s(x1)) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), s(x1), s(inc(x1))), INC(s(x1))) COUNT(empty, s(x1)) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(empty, s(x1)) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(empty, s(x1)) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(empty, s(x1)) -> c14(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), empty)), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), empty)), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), empty)), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x0, inc(x0)), INC(x0)) COUNT(empty, 0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), 0, s(0))) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), z1)), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), z1)), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x2, inc(x2)), INC(x2)) COUNT(node(x0, x1), 0) -> c14(IF(isEmpty(node(x0, x1)), isEmpty(left(node(x0, x1))), right(node(x0, x1)), node(left(left(node(x0, x1))), node(right(left(node(x0, x1))), x1)), 0, s(0))) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(empty, right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(empty), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(empty), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, 0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), 0, s(0))) COUNT(node(node(z0, z1), x1), x2) -> c14(IF(isEmpty(node(node(z0, z1), x1)), isEmpty(left(node(node(z0, z1), x1))), right(node(node(z0, z1), x1)), node(left(left(node(node(z0, z1), x1))), node(z1, right(node(node(z0, z1), x1)))), x2, inc(x2)), INC(x2)) COUNT(node(empty, x1), x2) -> c14(IF(isEmpty(node(empty, x1)), isEmpty(left(node(empty, x1))), right(node(empty, x1)), node(left(left(node(empty, x1))), node(empty, right(node(empty, x1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(z0), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(x0, x1), 0) -> c14(IF(isEmpty(node(x0, x1)), isEmpty(left(node(x0, x1))), right(node(x0, x1)), node(left(left(node(x0, x1))), node(right(x0), right(node(x0, x1)))), 0, s(0))) K tuples: COUNT(empty, x1) -> c14(INC(x1)) COUNT(x0, s(x1)) -> c14(INC(s(x1))) COUNT(empty, s(x1)) -> c14(INC(s(x1))) Defined Rule Symbols: isEmpty_1, left_1, right_1, inc_1 Defined Pair Symbols: INC_1, IF_6, COUNT_2 Compound Symbols: c7_1, c16_1, c17_1, c14_2, c14_1, c8_1, c9_1, c10_1, c11_1, c12_1, c13_1 ---------------------------------------- (119) CdtNarrowingProof (BOTH BOUNDS(ID, ID)) Use narrowing to replace COUNT(empty, x1) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1)), INC(x1)) by COUNT(empty, 0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), 0, s(0)), INC(0)) COUNT(empty, s(z0)) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), s(z0), s(inc(z0))), INC(s(z0))) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), empty)), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(empty), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(empty, node(right(left(empty)), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(empty), node(right(left(empty)), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(true, isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x0, inc(x0)), INC(x0)) ---------------------------------------- (120) Obligation: Complexity Dependency Tuples Problem Rules: isEmpty(empty) -> true isEmpty(node(z0, z1)) -> false left(empty) -> empty left(node(z0, z1)) -> z0 right(empty) -> empty right(node(z0, z1)) -> z1 inc(0) -> s(0) inc(s(z0)) -> s(inc(z0)) Tuples: INC(s(z0)) -> c7(INC(z0)) IF(false, false, z0, z1, z2, z3) -> c16(COUNT(z1, z2)) IF(false, true, z0, z1, z2, z3) -> c17(COUNT(z0, z3)) COUNT(node(z0, z1), x1) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1)), INC(x1)) COUNT(empty, x1) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1)), INC(x1)) COUNT(node(z0, z1), x1) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1)), INC(x1)) COUNT(empty, x1) -> c14(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1)), INC(x1)) COUNT(node(z0, z1), x1) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1)), INC(x1)) COUNT(node(z0, z1), x1) -> c14(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1)), INC(x1)) COUNT(x0, 0) -> c14(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(empty, x1) -> c14(INC(x1)) COUNT(x0, 0) -> c8(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(x0, s(z0)) -> c8(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0)))) COUNT(empty, x1) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1))) COUNT(empty, x1) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c8(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c8(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, 0) -> c9(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(x0, s(z0)) -> c9(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0)))) COUNT(empty, x1) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1))) COUNT(empty, x1) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c9(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c9(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, 0) -> c10(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(x0, s(z0)) -> c10(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0)))) COUNT(empty, x1) -> c10(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1))) COUNT(empty, x1) -> c10(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c10(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c10(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c10(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, 0) -> c11(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(x0, s(z0)) -> c11(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0)))) COUNT(empty, x1) -> c11(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1))) COUNT(empty, x1) -> c11(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c11(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c11(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c11(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, 0) -> c12(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(x0, s(z0)) -> c12(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0)))) COUNT(empty, x1) -> c12(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1))) COUNT(empty, x1) -> c12(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c12(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c12(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c12(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, 0) -> c13(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(x0, s(z0)) -> c13(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0)))) COUNT(empty, x1) -> c13(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1))) COUNT(empty, x1) -> c13(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c13(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c13(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c13(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, s(0)) -> c14(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(0), s(s(0))), INC(s(0))) COUNT(x0, s(s(z0))) -> c14(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(s(z0)), s(s(inc(z0)))), INC(s(s(z0)))) COUNT(empty, s(x1)) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), s(x1), s(inc(x1))), INC(s(x1))) COUNT(empty, s(x1)) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(empty, s(x1)) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(empty, s(x1)) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(empty, s(x1)) -> c14(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(x0, s(x1)) -> c14(INC(s(x1))) COUNT(empty, s(x1)) -> c14(INC(s(x1))) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), empty)), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), empty)), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), empty)), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x0, inc(x0)), INC(x0)) COUNT(empty, 0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), 0, s(0))) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), z1)), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), z1)), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x2, inc(x2)), INC(x2)) COUNT(node(x0, x1), 0) -> c14(IF(isEmpty(node(x0, x1)), isEmpty(left(node(x0, x1))), right(node(x0, x1)), node(left(left(node(x0, x1))), node(right(left(node(x0, x1))), x1)), 0, s(0))) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(empty, right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(empty), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(empty), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, 0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), 0, s(0))) COUNT(node(node(z0, z1), x1), x2) -> c14(IF(isEmpty(node(node(z0, z1), x1)), isEmpty(left(node(node(z0, z1), x1))), right(node(node(z0, z1), x1)), node(left(left(node(node(z0, z1), x1))), node(z1, right(node(node(z0, z1), x1)))), x2, inc(x2)), INC(x2)) COUNT(node(empty, x1), x2) -> c14(IF(isEmpty(node(empty, x1)), isEmpty(left(node(empty, x1))), right(node(empty, x1)), node(left(left(node(empty, x1))), node(empty, right(node(empty, x1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(z0), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(x0, x1), 0) -> c14(IF(isEmpty(node(x0, x1)), isEmpty(left(node(x0, x1))), right(node(x0, x1)), node(left(left(node(x0, x1))), node(right(x0), right(node(x0, x1)))), 0, s(0))) COUNT(empty, 0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), 0, s(0)), INC(0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(empty, node(right(left(empty)), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(empty), node(right(left(empty)), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(true, isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x0, inc(x0)), INC(x0)) S tuples: INC(s(z0)) -> c7(INC(z0)) IF(false, false, z0, z1, z2, z3) -> c16(COUNT(z1, z2)) IF(false, true, z0, z1, z2, z3) -> c17(COUNT(z0, z3)) COUNT(node(z0, z1), x1) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1)), INC(x1)) COUNT(empty, x1) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1)), INC(x1)) COUNT(node(z0, z1), x1) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1)), INC(x1)) COUNT(empty, x1) -> c14(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1)), INC(x1)) COUNT(node(z0, z1), x1) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1)), INC(x1)) COUNT(node(z0, z1), x1) -> c14(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1)), INC(x1)) COUNT(x0, 0) -> c14(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(x0, 0) -> c8(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(x0, s(z0)) -> c8(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0)))) COUNT(empty, x1) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1))) COUNT(empty, x1) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c8(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c8(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, 0) -> c9(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(x0, s(z0)) -> c9(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0)))) COUNT(empty, x1) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1))) COUNT(empty, x1) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c9(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c9(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, 0) -> c10(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(x0, s(z0)) -> c10(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0)))) COUNT(empty, x1) -> c10(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1))) COUNT(empty, x1) -> c10(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c10(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c10(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c10(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, 0) -> c11(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(x0, s(z0)) -> c11(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0)))) COUNT(empty, x1) -> c11(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1))) COUNT(empty, x1) -> c11(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c11(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c11(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c11(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, 0) -> c12(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(x0, s(z0)) -> c12(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0)))) COUNT(empty, x1) -> c12(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1))) COUNT(empty, x1) -> c12(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c12(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c12(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c12(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, 0) -> c13(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(x0, s(z0)) -> c13(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0)))) COUNT(empty, x1) -> c13(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1))) COUNT(empty, x1) -> c13(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c13(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c13(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c13(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, s(0)) -> c14(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(0), s(s(0))), INC(s(0))) COUNT(x0, s(s(z0))) -> c14(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(s(z0)), s(s(inc(z0)))), INC(s(s(z0)))) COUNT(empty, s(x1)) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), s(x1), s(inc(x1))), INC(s(x1))) COUNT(empty, s(x1)) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(empty, s(x1)) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(empty, s(x1)) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(empty, s(x1)) -> c14(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), empty)), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), empty)), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), empty)), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x0, inc(x0)), INC(x0)) COUNT(empty, 0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), 0, s(0))) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), z1)), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), z1)), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x2, inc(x2)), INC(x2)) COUNT(node(x0, x1), 0) -> c14(IF(isEmpty(node(x0, x1)), isEmpty(left(node(x0, x1))), right(node(x0, x1)), node(left(left(node(x0, x1))), node(right(left(node(x0, x1))), x1)), 0, s(0))) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(empty, right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(empty), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(empty), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, 0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), 0, s(0))) COUNT(node(node(z0, z1), x1), x2) -> c14(IF(isEmpty(node(node(z0, z1), x1)), isEmpty(left(node(node(z0, z1), x1))), right(node(node(z0, z1), x1)), node(left(left(node(node(z0, z1), x1))), node(z1, right(node(node(z0, z1), x1)))), x2, inc(x2)), INC(x2)) COUNT(node(empty, x1), x2) -> c14(IF(isEmpty(node(empty, x1)), isEmpty(left(node(empty, x1))), right(node(empty, x1)), node(left(left(node(empty, x1))), node(empty, right(node(empty, x1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(z0), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(x0, x1), 0) -> c14(IF(isEmpty(node(x0, x1)), isEmpty(left(node(x0, x1))), right(node(x0, x1)), node(left(left(node(x0, x1))), node(right(x0), right(node(x0, x1)))), 0, s(0))) COUNT(empty, 0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), 0, s(0)), INC(0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(empty, node(right(left(empty)), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(empty), node(right(left(empty)), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(true, isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x0, inc(x0)), INC(x0)) K tuples: COUNT(empty, x1) -> c14(INC(x1)) COUNT(x0, s(x1)) -> c14(INC(s(x1))) COUNT(empty, s(x1)) -> c14(INC(s(x1))) Defined Rule Symbols: isEmpty_1, left_1, right_1, inc_1 Defined Pair Symbols: INC_1, IF_6, COUNT_2 Compound Symbols: c7_1, c16_1, c17_1, c14_2, c14_1, c8_1, c9_1, c10_1, c11_1, c12_1, c13_1 ---------------------------------------- (121) CdtRhsSimplificationProcessorProof (BOTH BOUNDS(ID, ID)) Removed 2 trailing tuple parts ---------------------------------------- (122) Obligation: Complexity Dependency Tuples Problem Rules: isEmpty(empty) -> true isEmpty(node(z0, z1)) -> false left(empty) -> empty left(node(z0, z1)) -> z0 right(empty) -> empty right(node(z0, z1)) -> z1 inc(0) -> s(0) inc(s(z0)) -> s(inc(z0)) Tuples: INC(s(z0)) -> c7(INC(z0)) IF(false, false, z0, z1, z2, z3) -> c16(COUNT(z1, z2)) IF(false, true, z0, z1, z2, z3) -> c17(COUNT(z0, z3)) COUNT(node(z0, z1), x1) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1)), INC(x1)) COUNT(empty, x1) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1)), INC(x1)) COUNT(node(z0, z1), x1) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1)), INC(x1)) COUNT(empty, x1) -> c14(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1)), INC(x1)) COUNT(node(z0, z1), x1) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1)), INC(x1)) COUNT(node(z0, z1), x1) -> c14(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1)), INC(x1)) COUNT(x0, 0) -> c14(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(empty, x1) -> c14(INC(x1)) COUNT(x0, 0) -> c8(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(x0, s(z0)) -> c8(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0)))) COUNT(empty, x1) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1))) COUNT(empty, x1) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c8(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c8(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, 0) -> c9(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(x0, s(z0)) -> c9(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0)))) COUNT(empty, x1) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1))) COUNT(empty, x1) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c9(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c9(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, 0) -> c10(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(x0, s(z0)) -> c10(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0)))) COUNT(empty, x1) -> c10(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1))) COUNT(empty, x1) -> c10(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c10(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c10(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c10(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, 0) -> c11(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(x0, s(z0)) -> c11(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0)))) COUNT(empty, x1) -> c11(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1))) COUNT(empty, x1) -> c11(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c11(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c11(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c11(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, 0) -> c12(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(x0, s(z0)) -> c12(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0)))) COUNT(empty, x1) -> c12(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1))) COUNT(empty, x1) -> c12(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c12(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c12(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c12(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, 0) -> c13(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(x0, s(z0)) -> c13(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0)))) COUNT(empty, x1) -> c13(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1))) COUNT(empty, x1) -> c13(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c13(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c13(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c13(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, s(0)) -> c14(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(0), s(s(0))), INC(s(0))) COUNT(x0, s(s(z0))) -> c14(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(s(z0)), s(s(inc(z0)))), INC(s(s(z0)))) COUNT(empty, s(x1)) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), s(x1), s(inc(x1))), INC(s(x1))) COUNT(empty, s(x1)) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(empty, s(x1)) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(empty, s(x1)) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(empty, s(x1)) -> c14(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(x0, s(x1)) -> c14(INC(s(x1))) COUNT(empty, s(x1)) -> c14(INC(s(x1))) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), empty)), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), empty)), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), empty)), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x0, inc(x0)), INC(x0)) COUNT(empty, 0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), 0, s(0))) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), z1)), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), z1)), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x2, inc(x2)), INC(x2)) COUNT(node(x0, x1), 0) -> c14(IF(isEmpty(node(x0, x1)), isEmpty(left(node(x0, x1))), right(node(x0, x1)), node(left(left(node(x0, x1))), node(right(left(node(x0, x1))), x1)), 0, s(0))) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(empty, right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(empty), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(empty), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, 0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), 0, s(0))) COUNT(node(node(z0, z1), x1), x2) -> c14(IF(isEmpty(node(node(z0, z1), x1)), isEmpty(left(node(node(z0, z1), x1))), right(node(node(z0, z1), x1)), node(left(left(node(node(z0, z1), x1))), node(z1, right(node(node(z0, z1), x1)))), x2, inc(x2)), INC(x2)) COUNT(node(empty, x1), x2) -> c14(IF(isEmpty(node(empty, x1)), isEmpty(left(node(empty, x1))), right(node(empty, x1)), node(left(left(node(empty, x1))), node(empty, right(node(empty, x1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(z0), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(x0, x1), 0) -> c14(IF(isEmpty(node(x0, x1)), isEmpty(left(node(x0, x1))), right(node(x0, x1)), node(left(left(node(x0, x1))), node(right(x0), right(node(x0, x1)))), 0, s(0))) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(empty, node(right(left(empty)), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(empty), node(right(left(empty)), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, 0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), 0, s(0))) S tuples: INC(s(z0)) -> c7(INC(z0)) IF(false, false, z0, z1, z2, z3) -> c16(COUNT(z1, z2)) IF(false, true, z0, z1, z2, z3) -> c17(COUNT(z0, z3)) COUNT(node(z0, z1), x1) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1)), INC(x1)) COUNT(empty, x1) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1)), INC(x1)) COUNT(node(z0, z1), x1) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1)), INC(x1)) COUNT(empty, x1) -> c14(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1)), INC(x1)) COUNT(node(z0, z1), x1) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1)), INC(x1)) COUNT(node(z0, z1), x1) -> c14(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1)), INC(x1)) COUNT(x0, 0) -> c14(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(x0, 0) -> c8(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(x0, s(z0)) -> c8(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0)))) COUNT(empty, x1) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1))) COUNT(empty, x1) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c8(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c8(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, 0) -> c9(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(x0, s(z0)) -> c9(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0)))) COUNT(empty, x1) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1))) COUNT(empty, x1) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c9(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c9(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, 0) -> c10(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(x0, s(z0)) -> c10(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0)))) COUNT(empty, x1) -> c10(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1))) COUNT(empty, x1) -> c10(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c10(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c10(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c10(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, 0) -> c11(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(x0, s(z0)) -> c11(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0)))) COUNT(empty, x1) -> c11(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1))) COUNT(empty, x1) -> c11(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c11(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c11(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c11(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, 0) -> c12(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(x0, s(z0)) -> c12(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0)))) COUNT(empty, x1) -> c12(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1))) COUNT(empty, x1) -> c12(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c12(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c12(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c12(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, 0) -> c13(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(x0, s(z0)) -> c13(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0)))) COUNT(empty, x1) -> c13(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1))) COUNT(empty, x1) -> c13(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c13(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c13(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c13(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, s(0)) -> c14(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(0), s(s(0))), INC(s(0))) COUNT(x0, s(s(z0))) -> c14(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(s(z0)), s(s(inc(z0)))), INC(s(s(z0)))) COUNT(empty, s(x1)) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), s(x1), s(inc(x1))), INC(s(x1))) COUNT(empty, s(x1)) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(empty, s(x1)) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(empty, s(x1)) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(empty, s(x1)) -> c14(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), empty)), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), empty)), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), empty)), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x0, inc(x0)), INC(x0)) COUNT(empty, 0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), 0, s(0))) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), z1)), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), z1)), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x2, inc(x2)), INC(x2)) COUNT(node(x0, x1), 0) -> c14(IF(isEmpty(node(x0, x1)), isEmpty(left(node(x0, x1))), right(node(x0, x1)), node(left(left(node(x0, x1))), node(right(left(node(x0, x1))), x1)), 0, s(0))) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(empty, right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(empty), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(empty), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, 0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), 0, s(0))) COUNT(node(node(z0, z1), x1), x2) -> c14(IF(isEmpty(node(node(z0, z1), x1)), isEmpty(left(node(node(z0, z1), x1))), right(node(node(z0, z1), x1)), node(left(left(node(node(z0, z1), x1))), node(z1, right(node(node(z0, z1), x1)))), x2, inc(x2)), INC(x2)) COUNT(node(empty, x1), x2) -> c14(IF(isEmpty(node(empty, x1)), isEmpty(left(node(empty, x1))), right(node(empty, x1)), node(left(left(node(empty, x1))), node(empty, right(node(empty, x1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(z0), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(x0, x1), 0) -> c14(IF(isEmpty(node(x0, x1)), isEmpty(left(node(x0, x1))), right(node(x0, x1)), node(left(left(node(x0, x1))), node(right(x0), right(node(x0, x1)))), 0, s(0))) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(empty, node(right(left(empty)), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(empty), node(right(left(empty)), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, 0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), 0, s(0))) COUNT(empty, x0) -> c14(INC(x0)) K tuples: COUNT(empty, x1) -> c14(INC(x1)) COUNT(x0, s(x1)) -> c14(INC(s(x1))) COUNT(empty, s(x1)) -> c14(INC(s(x1))) Defined Rule Symbols: isEmpty_1, left_1, right_1, inc_1 Defined Pair Symbols: INC_1, IF_6, COUNT_2 Compound Symbols: c7_1, c16_1, c17_1, c14_2, c14_1, c8_1, c9_1, c10_1, c11_1, c12_1, c13_1 ---------------------------------------- (123) CdtKnowledgeProof (BOTH BOUNDS(ID, ID)) The following tuples could be moved from S to K by knowledge propagation: COUNT(empty, x1) -> c14(INC(x1)) COUNT(empty, x0) -> c14(INC(x0)) COUNT(empty, x0) -> c14(INC(x0)) COUNT(empty, x0) -> c14(INC(x0)) ---------------------------------------- (124) Obligation: Complexity Dependency Tuples Problem Rules: isEmpty(empty) -> true isEmpty(node(z0, z1)) -> false left(empty) -> empty left(node(z0, z1)) -> z0 right(empty) -> empty right(node(z0, z1)) -> z1 inc(0) -> s(0) inc(s(z0)) -> s(inc(z0)) Tuples: INC(s(z0)) -> c7(INC(z0)) IF(false, false, z0, z1, z2, z3) -> c16(COUNT(z1, z2)) IF(false, true, z0, z1, z2, z3) -> c17(COUNT(z0, z3)) COUNT(node(z0, z1), x1) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1)), INC(x1)) COUNT(empty, x1) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1)), INC(x1)) COUNT(node(z0, z1), x1) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1)), INC(x1)) COUNT(empty, x1) -> c14(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1)), INC(x1)) COUNT(node(z0, z1), x1) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1)), INC(x1)) COUNT(node(z0, z1), x1) -> c14(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1)), INC(x1)) COUNT(x0, 0) -> c14(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(empty, x1) -> c14(INC(x1)) COUNT(x0, 0) -> c8(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(x0, s(z0)) -> c8(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0)))) COUNT(empty, x1) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1))) COUNT(empty, x1) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c8(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c8(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, 0) -> c9(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(x0, s(z0)) -> c9(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0)))) COUNT(empty, x1) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1))) COUNT(empty, x1) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c9(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c9(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, 0) -> c10(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(x0, s(z0)) -> c10(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0)))) COUNT(empty, x1) -> c10(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1))) COUNT(empty, x1) -> c10(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c10(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c10(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c10(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, 0) -> c11(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(x0, s(z0)) -> c11(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0)))) COUNT(empty, x1) -> c11(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1))) COUNT(empty, x1) -> c11(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c11(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c11(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c11(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, 0) -> c12(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(x0, s(z0)) -> c12(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0)))) COUNT(empty, x1) -> c12(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1))) COUNT(empty, x1) -> c12(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c12(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c12(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c12(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, 0) -> c13(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(x0, s(z0)) -> c13(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0)))) COUNT(empty, x1) -> c13(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1))) COUNT(empty, x1) -> c13(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c13(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c13(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c13(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, s(0)) -> c14(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(0), s(s(0))), INC(s(0))) COUNT(x0, s(s(z0))) -> c14(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(s(z0)), s(s(inc(z0)))), INC(s(s(z0)))) COUNT(empty, s(x1)) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), s(x1), s(inc(x1))), INC(s(x1))) COUNT(empty, s(x1)) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(empty, s(x1)) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(empty, s(x1)) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(empty, s(x1)) -> c14(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(x0, s(x1)) -> c14(INC(s(x1))) COUNT(empty, s(x1)) -> c14(INC(s(x1))) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), empty)), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), empty)), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), empty)), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x0, inc(x0)), INC(x0)) COUNT(empty, 0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), 0, s(0))) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), z1)), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), z1)), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x2, inc(x2)), INC(x2)) COUNT(node(x0, x1), 0) -> c14(IF(isEmpty(node(x0, x1)), isEmpty(left(node(x0, x1))), right(node(x0, x1)), node(left(left(node(x0, x1))), node(right(left(node(x0, x1))), x1)), 0, s(0))) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(empty, right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(empty), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(empty), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, 0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), 0, s(0))) COUNT(node(node(z0, z1), x1), x2) -> c14(IF(isEmpty(node(node(z0, z1), x1)), isEmpty(left(node(node(z0, z1), x1))), right(node(node(z0, z1), x1)), node(left(left(node(node(z0, z1), x1))), node(z1, right(node(node(z0, z1), x1)))), x2, inc(x2)), INC(x2)) COUNT(node(empty, x1), x2) -> c14(IF(isEmpty(node(empty, x1)), isEmpty(left(node(empty, x1))), right(node(empty, x1)), node(left(left(node(empty, x1))), node(empty, right(node(empty, x1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(z0), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(x0, x1), 0) -> c14(IF(isEmpty(node(x0, x1)), isEmpty(left(node(x0, x1))), right(node(x0, x1)), node(left(left(node(x0, x1))), node(right(x0), right(node(x0, x1)))), 0, s(0))) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(empty, node(right(left(empty)), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(empty), node(right(left(empty)), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, 0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), 0, s(0))) S tuples: INC(s(z0)) -> c7(INC(z0)) IF(false, false, z0, z1, z2, z3) -> c16(COUNT(z1, z2)) IF(false, true, z0, z1, z2, z3) -> c17(COUNT(z0, z3)) COUNT(node(z0, z1), x1) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1)), INC(x1)) COUNT(empty, x1) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1)), INC(x1)) COUNT(node(z0, z1), x1) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1)), INC(x1)) COUNT(empty, x1) -> c14(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1)), INC(x1)) COUNT(node(z0, z1), x1) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1)), INC(x1)) COUNT(node(z0, z1), x1) -> c14(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1)), INC(x1)) COUNT(x0, 0) -> c14(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(x0, 0) -> c8(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(x0, s(z0)) -> c8(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0)))) COUNT(empty, x1) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1))) COUNT(empty, x1) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c8(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c8(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, 0) -> c9(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(x0, s(z0)) -> c9(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0)))) COUNT(empty, x1) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1))) COUNT(empty, x1) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c9(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c9(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, 0) -> c10(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(x0, s(z0)) -> c10(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0)))) COUNT(empty, x1) -> c10(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1))) COUNT(empty, x1) -> c10(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c10(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c10(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c10(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, 0) -> c11(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(x0, s(z0)) -> c11(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0)))) COUNT(empty, x1) -> c11(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1))) COUNT(empty, x1) -> c11(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c11(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c11(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c11(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, 0) -> c12(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(x0, s(z0)) -> c12(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0)))) COUNT(empty, x1) -> c12(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1))) COUNT(empty, x1) -> c12(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c12(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c12(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c12(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, 0) -> c13(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(x0, s(z0)) -> c13(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0)))) COUNT(empty, x1) -> c13(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1))) COUNT(empty, x1) -> c13(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c13(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c13(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c13(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, s(0)) -> c14(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(0), s(s(0))), INC(s(0))) COUNT(x0, s(s(z0))) -> c14(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(s(z0)), s(s(inc(z0)))), INC(s(s(z0)))) COUNT(empty, s(x1)) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), s(x1), s(inc(x1))), INC(s(x1))) COUNT(empty, s(x1)) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(empty, s(x1)) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(empty, s(x1)) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(empty, s(x1)) -> c14(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), empty)), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), empty)), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), empty)), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x0, inc(x0)), INC(x0)) COUNT(empty, 0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), 0, s(0))) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), z1)), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), z1)), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x2, inc(x2)), INC(x2)) COUNT(node(x0, x1), 0) -> c14(IF(isEmpty(node(x0, x1)), isEmpty(left(node(x0, x1))), right(node(x0, x1)), node(left(left(node(x0, x1))), node(right(left(node(x0, x1))), x1)), 0, s(0))) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(empty, right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(empty), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(empty), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, 0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), 0, s(0))) COUNT(node(node(z0, z1), x1), x2) -> c14(IF(isEmpty(node(node(z0, z1), x1)), isEmpty(left(node(node(z0, z1), x1))), right(node(node(z0, z1), x1)), node(left(left(node(node(z0, z1), x1))), node(z1, right(node(node(z0, z1), x1)))), x2, inc(x2)), INC(x2)) COUNT(node(empty, x1), x2) -> c14(IF(isEmpty(node(empty, x1)), isEmpty(left(node(empty, x1))), right(node(empty, x1)), node(left(left(node(empty, x1))), node(empty, right(node(empty, x1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(z0), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(x0, x1), 0) -> c14(IF(isEmpty(node(x0, x1)), isEmpty(left(node(x0, x1))), right(node(x0, x1)), node(left(left(node(x0, x1))), node(right(x0), right(node(x0, x1)))), 0, s(0))) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(empty, node(right(left(empty)), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(empty), node(right(left(empty)), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, 0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), 0, s(0))) K tuples: COUNT(empty, x1) -> c14(INC(x1)) COUNT(x0, s(x1)) -> c14(INC(s(x1))) COUNT(empty, s(x1)) -> c14(INC(s(x1))) Defined Rule Symbols: isEmpty_1, left_1, right_1, inc_1 Defined Pair Symbols: INC_1, IF_6, COUNT_2 Compound Symbols: c7_1, c16_1, c17_1, c14_2, c14_1, c8_1, c9_1, c10_1, c11_1, c12_1, c13_1 ---------------------------------------- (125) CdtNarrowingProof (BOTH BOUNDS(ID, ID)) Use narrowing to replace COUNT(node(z0, z1), x1) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1)), INC(x1)) by COUNT(node(x0, x1), 0) -> c14(IF(isEmpty(node(x0, x1)), isEmpty(left(node(x0, x1))), right(node(x0, x1)), node(left(x0), node(right(left(node(x0, x1))), right(node(x0, x1)))), 0, s(0)), INC(0)) COUNT(node(x0, x1), s(z0)) -> c14(IF(isEmpty(node(x0, x1)), isEmpty(left(node(x0, x1))), right(node(x0, x1)), node(left(x0), node(right(left(node(x0, x1))), right(node(x0, x1)))), s(z0), s(inc(z0))), INC(s(z0))) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), z1)), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(z0), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(node(z0, z1), x1), x2) -> c14(IF(isEmpty(node(node(z0, z1), x1)), isEmpty(left(node(node(z0, z1), x1))), right(node(node(z0, z1), x1)), node(z0, node(right(left(node(node(z0, z1), x1))), right(node(node(z0, z1), x1)))), x2, inc(x2)), INC(x2)) COUNT(node(empty, x1), x2) -> c14(IF(isEmpty(node(empty, x1)), isEmpty(left(node(empty, x1))), right(node(empty, x1)), node(empty, node(right(left(node(empty, x1))), right(node(empty, x1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) ---------------------------------------- (126) Obligation: Complexity Dependency Tuples Problem Rules: isEmpty(empty) -> true isEmpty(node(z0, z1)) -> false left(empty) -> empty left(node(z0, z1)) -> z0 right(empty) -> empty right(node(z0, z1)) -> z1 inc(0) -> s(0) inc(s(z0)) -> s(inc(z0)) Tuples: INC(s(z0)) -> c7(INC(z0)) IF(false, false, z0, z1, z2, z3) -> c16(COUNT(z1, z2)) IF(false, true, z0, z1, z2, z3) -> c17(COUNT(z0, z3)) COUNT(empty, x1) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1)), INC(x1)) COUNT(node(z0, z1), x1) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1)), INC(x1)) COUNT(empty, x1) -> c14(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1)), INC(x1)) COUNT(node(z0, z1), x1) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1)), INC(x1)) COUNT(node(z0, z1), x1) -> c14(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1)), INC(x1)) COUNT(x0, 0) -> c14(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(empty, x1) -> c14(INC(x1)) COUNT(x0, 0) -> c8(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(x0, s(z0)) -> c8(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0)))) COUNT(empty, x1) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1))) COUNT(empty, x1) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c8(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c8(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, 0) -> c9(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(x0, s(z0)) -> c9(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0)))) COUNT(empty, x1) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1))) COUNT(empty, x1) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c9(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c9(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, 0) -> c10(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(x0, s(z0)) -> c10(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0)))) COUNT(empty, x1) -> c10(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1))) COUNT(empty, x1) -> c10(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c10(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c10(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c10(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, 0) -> c11(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(x0, s(z0)) -> c11(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0)))) COUNT(empty, x1) -> c11(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1))) COUNT(empty, x1) -> c11(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c11(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c11(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c11(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, 0) -> c12(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(x0, s(z0)) -> c12(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0)))) COUNT(empty, x1) -> c12(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1))) COUNT(empty, x1) -> c12(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c12(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c12(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c12(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, 0) -> c13(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(x0, s(z0)) -> c13(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0)))) COUNT(empty, x1) -> c13(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1))) COUNT(empty, x1) -> c13(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c13(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c13(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c13(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, s(0)) -> c14(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(0), s(s(0))), INC(s(0))) COUNT(x0, s(s(z0))) -> c14(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(s(z0)), s(s(inc(z0)))), INC(s(s(z0)))) COUNT(empty, s(x1)) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), s(x1), s(inc(x1))), INC(s(x1))) COUNT(empty, s(x1)) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(empty, s(x1)) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(empty, s(x1)) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(empty, s(x1)) -> c14(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(x0, s(x1)) -> c14(INC(s(x1))) COUNT(empty, s(x1)) -> c14(INC(s(x1))) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), empty)), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), empty)), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), empty)), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x0, inc(x0)), INC(x0)) COUNT(empty, 0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), 0, s(0))) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), z1)), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), z1)), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x2, inc(x2)), INC(x2)) COUNT(node(x0, x1), 0) -> c14(IF(isEmpty(node(x0, x1)), isEmpty(left(node(x0, x1))), right(node(x0, x1)), node(left(left(node(x0, x1))), node(right(left(node(x0, x1))), x1)), 0, s(0))) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(empty, right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(empty), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(empty), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, 0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), 0, s(0))) COUNT(node(node(z0, z1), x1), x2) -> c14(IF(isEmpty(node(node(z0, z1), x1)), isEmpty(left(node(node(z0, z1), x1))), right(node(node(z0, z1), x1)), node(left(left(node(node(z0, z1), x1))), node(z1, right(node(node(z0, z1), x1)))), x2, inc(x2)), INC(x2)) COUNT(node(empty, x1), x2) -> c14(IF(isEmpty(node(empty, x1)), isEmpty(left(node(empty, x1))), right(node(empty, x1)), node(left(left(node(empty, x1))), node(empty, right(node(empty, x1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(z0), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(x0, x1), 0) -> c14(IF(isEmpty(node(x0, x1)), isEmpty(left(node(x0, x1))), right(node(x0, x1)), node(left(left(node(x0, x1))), node(right(x0), right(node(x0, x1)))), 0, s(0))) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(empty, node(right(left(empty)), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(empty), node(right(left(empty)), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, 0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), 0, s(0))) COUNT(node(x0, x1), 0) -> c14(IF(isEmpty(node(x0, x1)), isEmpty(left(node(x0, x1))), right(node(x0, x1)), node(left(x0), node(right(left(node(x0, x1))), right(node(x0, x1)))), 0, s(0)), INC(0)) COUNT(node(node(z0, z1), x1), x2) -> c14(IF(isEmpty(node(node(z0, z1), x1)), isEmpty(left(node(node(z0, z1), x1))), right(node(node(z0, z1), x1)), node(z0, node(right(left(node(node(z0, z1), x1))), right(node(node(z0, z1), x1)))), x2, inc(x2)), INC(x2)) COUNT(node(empty, x1), x2) -> c14(IF(isEmpty(node(empty, x1)), isEmpty(left(node(empty, x1))), right(node(empty, x1)), node(empty, node(right(left(node(empty, x1))), right(node(empty, x1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) S tuples: INC(s(z0)) -> c7(INC(z0)) IF(false, false, z0, z1, z2, z3) -> c16(COUNT(z1, z2)) IF(false, true, z0, z1, z2, z3) -> c17(COUNT(z0, z3)) COUNT(empty, x1) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1)), INC(x1)) COUNT(node(z0, z1), x1) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1)), INC(x1)) COUNT(empty, x1) -> c14(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1)), INC(x1)) COUNT(node(z0, z1), x1) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1)), INC(x1)) COUNT(node(z0, z1), x1) -> c14(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1)), INC(x1)) COUNT(x0, 0) -> c14(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(x0, 0) -> c8(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(x0, s(z0)) -> c8(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0)))) COUNT(empty, x1) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1))) COUNT(empty, x1) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c8(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c8(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, 0) -> c9(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(x0, s(z0)) -> c9(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0)))) COUNT(empty, x1) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1))) COUNT(empty, x1) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c9(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c9(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, 0) -> c10(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(x0, s(z0)) -> c10(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0)))) COUNT(empty, x1) -> c10(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1))) COUNT(empty, x1) -> c10(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c10(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c10(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c10(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, 0) -> c11(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(x0, s(z0)) -> c11(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0)))) COUNT(empty, x1) -> c11(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1))) COUNT(empty, x1) -> c11(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c11(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c11(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c11(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, 0) -> c12(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(x0, s(z0)) -> c12(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0)))) COUNT(empty, x1) -> c12(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1))) COUNT(empty, x1) -> c12(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c12(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c12(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c12(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, 0) -> c13(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(x0, s(z0)) -> c13(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0)))) COUNT(empty, x1) -> c13(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1))) COUNT(empty, x1) -> c13(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c13(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c13(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c13(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, s(0)) -> c14(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(0), s(s(0))), INC(s(0))) COUNT(x0, s(s(z0))) -> c14(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(s(z0)), s(s(inc(z0)))), INC(s(s(z0)))) COUNT(empty, s(x1)) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), s(x1), s(inc(x1))), INC(s(x1))) COUNT(empty, s(x1)) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(empty, s(x1)) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(empty, s(x1)) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(empty, s(x1)) -> c14(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), empty)), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), empty)), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), empty)), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x0, inc(x0)), INC(x0)) COUNT(empty, 0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), 0, s(0))) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), z1)), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), z1)), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x2, inc(x2)), INC(x2)) COUNT(node(x0, x1), 0) -> c14(IF(isEmpty(node(x0, x1)), isEmpty(left(node(x0, x1))), right(node(x0, x1)), node(left(left(node(x0, x1))), node(right(left(node(x0, x1))), x1)), 0, s(0))) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(empty, right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(empty), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(empty), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, 0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), 0, s(0))) COUNT(node(node(z0, z1), x1), x2) -> c14(IF(isEmpty(node(node(z0, z1), x1)), isEmpty(left(node(node(z0, z1), x1))), right(node(node(z0, z1), x1)), node(left(left(node(node(z0, z1), x1))), node(z1, right(node(node(z0, z1), x1)))), x2, inc(x2)), INC(x2)) COUNT(node(empty, x1), x2) -> c14(IF(isEmpty(node(empty, x1)), isEmpty(left(node(empty, x1))), right(node(empty, x1)), node(left(left(node(empty, x1))), node(empty, right(node(empty, x1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(z0), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(x0, x1), 0) -> c14(IF(isEmpty(node(x0, x1)), isEmpty(left(node(x0, x1))), right(node(x0, x1)), node(left(left(node(x0, x1))), node(right(x0), right(node(x0, x1)))), 0, s(0))) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(empty, node(right(left(empty)), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(empty), node(right(left(empty)), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, 0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), 0, s(0))) COUNT(node(x0, x1), 0) -> c14(IF(isEmpty(node(x0, x1)), isEmpty(left(node(x0, x1))), right(node(x0, x1)), node(left(x0), node(right(left(node(x0, x1))), right(node(x0, x1)))), 0, s(0)), INC(0)) COUNT(node(node(z0, z1), x1), x2) -> c14(IF(isEmpty(node(node(z0, z1), x1)), isEmpty(left(node(node(z0, z1), x1))), right(node(node(z0, z1), x1)), node(z0, node(right(left(node(node(z0, z1), x1))), right(node(node(z0, z1), x1)))), x2, inc(x2)), INC(x2)) COUNT(node(empty, x1), x2) -> c14(IF(isEmpty(node(empty, x1)), isEmpty(left(node(empty, x1))), right(node(empty, x1)), node(empty, node(right(left(node(empty, x1))), right(node(empty, x1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) K tuples: COUNT(empty, x1) -> c14(INC(x1)) COUNT(x0, s(x1)) -> c14(INC(s(x1))) COUNT(empty, s(x1)) -> c14(INC(s(x1))) Defined Rule Symbols: isEmpty_1, left_1, right_1, inc_1 Defined Pair Symbols: INC_1, IF_6, COUNT_2 Compound Symbols: c7_1, c16_1, c17_1, c14_2, c14_1, c8_1, c9_1, c10_1, c11_1, c12_1, c13_1 ---------------------------------------- (127) CdtRhsSimplificationProcessorProof (BOTH BOUNDS(ID, ID)) Removed 1 trailing tuple parts ---------------------------------------- (128) Obligation: Complexity Dependency Tuples Problem Rules: isEmpty(empty) -> true isEmpty(node(z0, z1)) -> false left(empty) -> empty left(node(z0, z1)) -> z0 right(empty) -> empty right(node(z0, z1)) -> z1 inc(0) -> s(0) inc(s(z0)) -> s(inc(z0)) Tuples: INC(s(z0)) -> c7(INC(z0)) IF(false, false, z0, z1, z2, z3) -> c16(COUNT(z1, z2)) IF(false, true, z0, z1, z2, z3) -> c17(COUNT(z0, z3)) COUNT(empty, x1) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1)), INC(x1)) COUNT(node(z0, z1), x1) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1)), INC(x1)) COUNT(empty, x1) -> c14(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1)), INC(x1)) COUNT(node(z0, z1), x1) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1)), INC(x1)) COUNT(node(z0, z1), x1) -> c14(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1)), INC(x1)) COUNT(x0, 0) -> c14(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(empty, x1) -> c14(INC(x1)) COUNT(x0, 0) -> c8(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(x0, s(z0)) -> c8(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0)))) COUNT(empty, x1) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1))) COUNT(empty, x1) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c8(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c8(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, 0) -> c9(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(x0, s(z0)) -> c9(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0)))) COUNT(empty, x1) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1))) COUNT(empty, x1) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c9(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c9(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, 0) -> c10(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(x0, s(z0)) -> c10(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0)))) COUNT(empty, x1) -> c10(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1))) COUNT(empty, x1) -> c10(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c10(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c10(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c10(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, 0) -> c11(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(x0, s(z0)) -> c11(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0)))) COUNT(empty, x1) -> c11(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1))) COUNT(empty, x1) -> c11(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c11(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c11(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c11(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, 0) -> c12(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(x0, s(z0)) -> c12(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0)))) COUNT(empty, x1) -> c12(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1))) COUNT(empty, x1) -> c12(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c12(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c12(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c12(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, 0) -> c13(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(x0, s(z0)) -> c13(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0)))) COUNT(empty, x1) -> c13(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1))) COUNT(empty, x1) -> c13(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c13(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c13(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c13(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, s(0)) -> c14(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(0), s(s(0))), INC(s(0))) COUNT(x0, s(s(z0))) -> c14(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(s(z0)), s(s(inc(z0)))), INC(s(s(z0)))) COUNT(empty, s(x1)) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), s(x1), s(inc(x1))), INC(s(x1))) COUNT(empty, s(x1)) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(empty, s(x1)) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(empty, s(x1)) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(empty, s(x1)) -> c14(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(x0, s(x1)) -> c14(INC(s(x1))) COUNT(empty, s(x1)) -> c14(INC(s(x1))) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), empty)), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), empty)), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), empty)), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x0, inc(x0)), INC(x0)) COUNT(empty, 0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), 0, s(0))) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), z1)), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), z1)), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x2, inc(x2)), INC(x2)) COUNT(node(x0, x1), 0) -> c14(IF(isEmpty(node(x0, x1)), isEmpty(left(node(x0, x1))), right(node(x0, x1)), node(left(left(node(x0, x1))), node(right(left(node(x0, x1))), x1)), 0, s(0))) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(empty, right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(empty), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(empty), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, 0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), 0, s(0))) COUNT(node(node(z0, z1), x1), x2) -> c14(IF(isEmpty(node(node(z0, z1), x1)), isEmpty(left(node(node(z0, z1), x1))), right(node(node(z0, z1), x1)), node(left(left(node(node(z0, z1), x1))), node(z1, right(node(node(z0, z1), x1)))), x2, inc(x2)), INC(x2)) COUNT(node(empty, x1), x2) -> c14(IF(isEmpty(node(empty, x1)), isEmpty(left(node(empty, x1))), right(node(empty, x1)), node(left(left(node(empty, x1))), node(empty, right(node(empty, x1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(z0), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(x0, x1), 0) -> c14(IF(isEmpty(node(x0, x1)), isEmpty(left(node(x0, x1))), right(node(x0, x1)), node(left(left(node(x0, x1))), node(right(x0), right(node(x0, x1)))), 0, s(0))) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(empty, node(right(left(empty)), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(empty), node(right(left(empty)), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, 0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), 0, s(0))) COUNT(node(node(z0, z1), x1), x2) -> c14(IF(isEmpty(node(node(z0, z1), x1)), isEmpty(left(node(node(z0, z1), x1))), right(node(node(z0, z1), x1)), node(z0, node(right(left(node(node(z0, z1), x1))), right(node(node(z0, z1), x1)))), x2, inc(x2)), INC(x2)) COUNT(node(empty, x1), x2) -> c14(IF(isEmpty(node(empty, x1)), isEmpty(left(node(empty, x1))), right(node(empty, x1)), node(empty, node(right(left(node(empty, x1))), right(node(empty, x1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(x0, x1), 0) -> c14(IF(isEmpty(node(x0, x1)), isEmpty(left(node(x0, x1))), right(node(x0, x1)), node(left(x0), node(right(left(node(x0, x1))), right(node(x0, x1)))), 0, s(0))) S tuples: INC(s(z0)) -> c7(INC(z0)) IF(false, false, z0, z1, z2, z3) -> c16(COUNT(z1, z2)) IF(false, true, z0, z1, z2, z3) -> c17(COUNT(z0, z3)) COUNT(empty, x1) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1)), INC(x1)) COUNT(node(z0, z1), x1) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1)), INC(x1)) COUNT(empty, x1) -> c14(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1)), INC(x1)) COUNT(node(z0, z1), x1) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1)), INC(x1)) COUNT(node(z0, z1), x1) -> c14(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1)), INC(x1)) COUNT(x0, 0) -> c14(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(x0, 0) -> c8(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(x0, s(z0)) -> c8(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0)))) COUNT(empty, x1) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1))) COUNT(empty, x1) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c8(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c8(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, 0) -> c9(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(x0, s(z0)) -> c9(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0)))) COUNT(empty, x1) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1))) COUNT(empty, x1) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c9(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c9(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, 0) -> c10(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(x0, s(z0)) -> c10(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0)))) COUNT(empty, x1) -> c10(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1))) COUNT(empty, x1) -> c10(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c10(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c10(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c10(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, 0) -> c11(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(x0, s(z0)) -> c11(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0)))) COUNT(empty, x1) -> c11(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1))) COUNT(empty, x1) -> c11(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c11(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c11(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c11(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, 0) -> c12(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(x0, s(z0)) -> c12(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0)))) COUNT(empty, x1) -> c12(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1))) COUNT(empty, x1) -> c12(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c12(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c12(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c12(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, 0) -> c13(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(x0, s(z0)) -> c13(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0)))) COUNT(empty, x1) -> c13(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1))) COUNT(empty, x1) -> c13(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c13(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c13(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c13(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, s(0)) -> c14(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(0), s(s(0))), INC(s(0))) COUNT(x0, s(s(z0))) -> c14(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(s(z0)), s(s(inc(z0)))), INC(s(s(z0)))) COUNT(empty, s(x1)) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), s(x1), s(inc(x1))), INC(s(x1))) COUNT(empty, s(x1)) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(empty, s(x1)) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(empty, s(x1)) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(empty, s(x1)) -> c14(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), empty)), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), empty)), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), empty)), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x0, inc(x0)), INC(x0)) COUNT(empty, 0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), 0, s(0))) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), z1)), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), z1)), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x2, inc(x2)), INC(x2)) COUNT(node(x0, x1), 0) -> c14(IF(isEmpty(node(x0, x1)), isEmpty(left(node(x0, x1))), right(node(x0, x1)), node(left(left(node(x0, x1))), node(right(left(node(x0, x1))), x1)), 0, s(0))) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(empty, right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(empty), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(empty), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, 0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), 0, s(0))) COUNT(node(node(z0, z1), x1), x2) -> c14(IF(isEmpty(node(node(z0, z1), x1)), isEmpty(left(node(node(z0, z1), x1))), right(node(node(z0, z1), x1)), node(left(left(node(node(z0, z1), x1))), node(z1, right(node(node(z0, z1), x1)))), x2, inc(x2)), INC(x2)) COUNT(node(empty, x1), x2) -> c14(IF(isEmpty(node(empty, x1)), isEmpty(left(node(empty, x1))), right(node(empty, x1)), node(left(left(node(empty, x1))), node(empty, right(node(empty, x1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(z0), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(x0, x1), 0) -> c14(IF(isEmpty(node(x0, x1)), isEmpty(left(node(x0, x1))), right(node(x0, x1)), node(left(left(node(x0, x1))), node(right(x0), right(node(x0, x1)))), 0, s(0))) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(empty, node(right(left(empty)), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(empty), node(right(left(empty)), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, 0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), 0, s(0))) COUNT(node(node(z0, z1), x1), x2) -> c14(IF(isEmpty(node(node(z0, z1), x1)), isEmpty(left(node(node(z0, z1), x1))), right(node(node(z0, z1), x1)), node(z0, node(right(left(node(node(z0, z1), x1))), right(node(node(z0, z1), x1)))), x2, inc(x2)), INC(x2)) COUNT(node(empty, x1), x2) -> c14(IF(isEmpty(node(empty, x1)), isEmpty(left(node(empty, x1))), right(node(empty, x1)), node(empty, node(right(left(node(empty, x1))), right(node(empty, x1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(x0, x1), 0) -> c14(IF(isEmpty(node(x0, x1)), isEmpty(left(node(x0, x1))), right(node(x0, x1)), node(left(x0), node(right(left(node(x0, x1))), right(node(x0, x1)))), 0, s(0))) K tuples: COUNT(empty, x1) -> c14(INC(x1)) COUNT(x0, s(x1)) -> c14(INC(s(x1))) COUNT(empty, s(x1)) -> c14(INC(s(x1))) Defined Rule Symbols: isEmpty_1, left_1, right_1, inc_1 Defined Pair Symbols: INC_1, IF_6, COUNT_2 Compound Symbols: c7_1, c16_1, c17_1, c14_2, c14_1, c8_1, c9_1, c10_1, c11_1, c12_1, c13_1 ---------------------------------------- (129) CdtNarrowingProof (BOTH BOUNDS(ID, ID)) Use narrowing to replace COUNT(empty, x1) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1)), INC(x1)) by COUNT(empty, 0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), 0, s(0)), INC(0)) COUNT(empty, s(z0)) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), s(z0), s(inc(z0))), INC(s(z0))) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), empty)), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(empty), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(empty), node(right(left(empty)), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(empty), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(true, isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x0, inc(x0)), INC(x0)) ---------------------------------------- (130) Obligation: Complexity Dependency Tuples Problem Rules: isEmpty(empty) -> true isEmpty(node(z0, z1)) -> false left(empty) -> empty left(node(z0, z1)) -> z0 right(empty) -> empty right(node(z0, z1)) -> z1 inc(0) -> s(0) inc(s(z0)) -> s(inc(z0)) Tuples: INC(s(z0)) -> c7(INC(z0)) IF(false, false, z0, z1, z2, z3) -> c16(COUNT(z1, z2)) IF(false, true, z0, z1, z2, z3) -> c17(COUNT(z0, z3)) COUNT(node(z0, z1), x1) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1)), INC(x1)) COUNT(empty, x1) -> c14(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1)), INC(x1)) COUNT(node(z0, z1), x1) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1)), INC(x1)) COUNT(node(z0, z1), x1) -> c14(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1)), INC(x1)) COUNT(x0, 0) -> c14(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(empty, x1) -> c14(INC(x1)) COUNT(x0, 0) -> c8(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(x0, s(z0)) -> c8(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0)))) COUNT(empty, x1) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1))) COUNT(empty, x1) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c8(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c8(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, 0) -> c9(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(x0, s(z0)) -> c9(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0)))) COUNT(empty, x1) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1))) COUNT(empty, x1) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c9(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c9(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, 0) -> c10(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(x0, s(z0)) -> c10(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0)))) COUNT(empty, x1) -> c10(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1))) COUNT(empty, x1) -> c10(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c10(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c10(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c10(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, 0) -> c11(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(x0, s(z0)) -> c11(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0)))) COUNT(empty, x1) -> c11(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1))) COUNT(empty, x1) -> c11(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c11(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c11(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c11(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, 0) -> c12(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(x0, s(z0)) -> c12(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0)))) COUNT(empty, x1) -> c12(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1))) COUNT(empty, x1) -> c12(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c12(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c12(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c12(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, 0) -> c13(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(x0, s(z0)) -> c13(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0)))) COUNT(empty, x1) -> c13(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1))) COUNT(empty, x1) -> c13(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c13(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c13(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c13(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, s(0)) -> c14(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(0), s(s(0))), INC(s(0))) COUNT(x0, s(s(z0))) -> c14(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(s(z0)), s(s(inc(z0)))), INC(s(s(z0)))) COUNT(empty, s(x1)) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), s(x1), s(inc(x1))), INC(s(x1))) COUNT(empty, s(x1)) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(empty, s(x1)) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(empty, s(x1)) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(empty, s(x1)) -> c14(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(x0, s(x1)) -> c14(INC(s(x1))) COUNT(empty, s(x1)) -> c14(INC(s(x1))) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), empty)), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), empty)), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), empty)), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x0, inc(x0)), INC(x0)) COUNT(empty, 0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), 0, s(0))) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), z1)), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), z1)), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x2, inc(x2)), INC(x2)) COUNT(node(x0, x1), 0) -> c14(IF(isEmpty(node(x0, x1)), isEmpty(left(node(x0, x1))), right(node(x0, x1)), node(left(left(node(x0, x1))), node(right(left(node(x0, x1))), x1)), 0, s(0))) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(empty, right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(empty), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(empty), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, 0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), 0, s(0))) COUNT(node(node(z0, z1), x1), x2) -> c14(IF(isEmpty(node(node(z0, z1), x1)), isEmpty(left(node(node(z0, z1), x1))), right(node(node(z0, z1), x1)), node(left(left(node(node(z0, z1), x1))), node(z1, right(node(node(z0, z1), x1)))), x2, inc(x2)), INC(x2)) COUNT(node(empty, x1), x2) -> c14(IF(isEmpty(node(empty, x1)), isEmpty(left(node(empty, x1))), right(node(empty, x1)), node(left(left(node(empty, x1))), node(empty, right(node(empty, x1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(z0), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(x0, x1), 0) -> c14(IF(isEmpty(node(x0, x1)), isEmpty(left(node(x0, x1))), right(node(x0, x1)), node(left(left(node(x0, x1))), node(right(x0), right(node(x0, x1)))), 0, s(0))) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(empty, node(right(left(empty)), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(empty), node(right(left(empty)), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, 0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), 0, s(0))) COUNT(node(node(z0, z1), x1), x2) -> c14(IF(isEmpty(node(node(z0, z1), x1)), isEmpty(left(node(node(z0, z1), x1))), right(node(node(z0, z1), x1)), node(z0, node(right(left(node(node(z0, z1), x1))), right(node(node(z0, z1), x1)))), x2, inc(x2)), INC(x2)) COUNT(node(empty, x1), x2) -> c14(IF(isEmpty(node(empty, x1)), isEmpty(left(node(empty, x1))), right(node(empty, x1)), node(empty, node(right(left(node(empty, x1))), right(node(empty, x1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(x0, x1), 0) -> c14(IF(isEmpty(node(x0, x1)), isEmpty(left(node(x0, x1))), right(node(x0, x1)), node(left(x0), node(right(left(node(x0, x1))), right(node(x0, x1)))), 0, s(0))) COUNT(empty, 0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), 0, s(0)), INC(0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(empty), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(true, isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x0, inc(x0)), INC(x0)) S tuples: INC(s(z0)) -> c7(INC(z0)) IF(false, false, z0, z1, z2, z3) -> c16(COUNT(z1, z2)) IF(false, true, z0, z1, z2, z3) -> c17(COUNT(z0, z3)) COUNT(node(z0, z1), x1) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1)), INC(x1)) COUNT(empty, x1) -> c14(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1)), INC(x1)) COUNT(node(z0, z1), x1) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1)), INC(x1)) COUNT(node(z0, z1), x1) -> c14(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1)), INC(x1)) COUNT(x0, 0) -> c14(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(x0, 0) -> c8(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(x0, s(z0)) -> c8(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0)))) COUNT(empty, x1) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1))) COUNT(empty, x1) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c8(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c8(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, 0) -> c9(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(x0, s(z0)) -> c9(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0)))) COUNT(empty, x1) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1))) COUNT(empty, x1) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c9(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c9(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, 0) -> c10(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(x0, s(z0)) -> c10(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0)))) COUNT(empty, x1) -> c10(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1))) COUNT(empty, x1) -> c10(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c10(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c10(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c10(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, 0) -> c11(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(x0, s(z0)) -> c11(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0)))) COUNT(empty, x1) -> c11(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1))) COUNT(empty, x1) -> c11(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c11(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c11(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c11(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, 0) -> c12(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(x0, s(z0)) -> c12(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0)))) COUNT(empty, x1) -> c12(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1))) COUNT(empty, x1) -> c12(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c12(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c12(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c12(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, 0) -> c13(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(x0, s(z0)) -> c13(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0)))) COUNT(empty, x1) -> c13(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1))) COUNT(empty, x1) -> c13(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c13(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c13(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c13(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, s(0)) -> c14(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(0), s(s(0))), INC(s(0))) COUNT(x0, s(s(z0))) -> c14(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(s(z0)), s(s(inc(z0)))), INC(s(s(z0)))) COUNT(empty, s(x1)) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), s(x1), s(inc(x1))), INC(s(x1))) COUNT(empty, s(x1)) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(empty, s(x1)) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(empty, s(x1)) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(empty, s(x1)) -> c14(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), empty)), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), empty)), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), empty)), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x0, inc(x0)), INC(x0)) COUNT(empty, 0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), 0, s(0))) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), z1)), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), z1)), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x2, inc(x2)), INC(x2)) COUNT(node(x0, x1), 0) -> c14(IF(isEmpty(node(x0, x1)), isEmpty(left(node(x0, x1))), right(node(x0, x1)), node(left(left(node(x0, x1))), node(right(left(node(x0, x1))), x1)), 0, s(0))) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(empty, right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(empty), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(empty), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, 0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), 0, s(0))) COUNT(node(node(z0, z1), x1), x2) -> c14(IF(isEmpty(node(node(z0, z1), x1)), isEmpty(left(node(node(z0, z1), x1))), right(node(node(z0, z1), x1)), node(left(left(node(node(z0, z1), x1))), node(z1, right(node(node(z0, z1), x1)))), x2, inc(x2)), INC(x2)) COUNT(node(empty, x1), x2) -> c14(IF(isEmpty(node(empty, x1)), isEmpty(left(node(empty, x1))), right(node(empty, x1)), node(left(left(node(empty, x1))), node(empty, right(node(empty, x1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(z0), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(x0, x1), 0) -> c14(IF(isEmpty(node(x0, x1)), isEmpty(left(node(x0, x1))), right(node(x0, x1)), node(left(left(node(x0, x1))), node(right(x0), right(node(x0, x1)))), 0, s(0))) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(empty, node(right(left(empty)), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(empty), node(right(left(empty)), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, 0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), 0, s(0))) COUNT(node(node(z0, z1), x1), x2) -> c14(IF(isEmpty(node(node(z0, z1), x1)), isEmpty(left(node(node(z0, z1), x1))), right(node(node(z0, z1), x1)), node(z0, node(right(left(node(node(z0, z1), x1))), right(node(node(z0, z1), x1)))), x2, inc(x2)), INC(x2)) COUNT(node(empty, x1), x2) -> c14(IF(isEmpty(node(empty, x1)), isEmpty(left(node(empty, x1))), right(node(empty, x1)), node(empty, node(right(left(node(empty, x1))), right(node(empty, x1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(x0, x1), 0) -> c14(IF(isEmpty(node(x0, x1)), isEmpty(left(node(x0, x1))), right(node(x0, x1)), node(left(x0), node(right(left(node(x0, x1))), right(node(x0, x1)))), 0, s(0))) COUNT(empty, 0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), 0, s(0)), INC(0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(empty), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(true, isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x0, inc(x0)), INC(x0)) K tuples: COUNT(empty, x1) -> c14(INC(x1)) COUNT(x0, s(x1)) -> c14(INC(s(x1))) COUNT(empty, s(x1)) -> c14(INC(s(x1))) Defined Rule Symbols: isEmpty_1, left_1, right_1, inc_1 Defined Pair Symbols: INC_1, IF_6, COUNT_2 Compound Symbols: c7_1, c16_1, c17_1, c14_2, c14_1, c8_1, c9_1, c10_1, c11_1, c12_1, c13_1 ---------------------------------------- (131) CdtRhsSimplificationProcessorProof (BOTH BOUNDS(ID, ID)) Removed 2 trailing tuple parts ---------------------------------------- (132) Obligation: Complexity Dependency Tuples Problem Rules: isEmpty(empty) -> true isEmpty(node(z0, z1)) -> false left(empty) -> empty left(node(z0, z1)) -> z0 right(empty) -> empty right(node(z0, z1)) -> z1 inc(0) -> s(0) inc(s(z0)) -> s(inc(z0)) Tuples: INC(s(z0)) -> c7(INC(z0)) IF(false, false, z0, z1, z2, z3) -> c16(COUNT(z1, z2)) IF(false, true, z0, z1, z2, z3) -> c17(COUNT(z0, z3)) COUNT(node(z0, z1), x1) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1)), INC(x1)) COUNT(empty, x1) -> c14(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1)), INC(x1)) COUNT(node(z0, z1), x1) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1)), INC(x1)) COUNT(node(z0, z1), x1) -> c14(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1)), INC(x1)) COUNT(x0, 0) -> c14(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(empty, x1) -> c14(INC(x1)) COUNT(x0, 0) -> c8(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(x0, s(z0)) -> c8(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0)))) COUNT(empty, x1) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1))) COUNT(empty, x1) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c8(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c8(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, 0) -> c9(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(x0, s(z0)) -> c9(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0)))) COUNT(empty, x1) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1))) COUNT(empty, x1) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c9(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c9(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, 0) -> c10(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(x0, s(z0)) -> c10(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0)))) COUNT(empty, x1) -> c10(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1))) COUNT(empty, x1) -> c10(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c10(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c10(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c10(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, 0) -> c11(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(x0, s(z0)) -> c11(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0)))) COUNT(empty, x1) -> c11(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1))) COUNT(empty, x1) -> c11(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c11(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c11(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c11(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, 0) -> c12(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(x0, s(z0)) -> c12(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0)))) COUNT(empty, x1) -> c12(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1))) COUNT(empty, x1) -> c12(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c12(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c12(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c12(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, 0) -> c13(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(x0, s(z0)) -> c13(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0)))) COUNT(empty, x1) -> c13(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1))) COUNT(empty, x1) -> c13(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c13(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c13(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c13(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, s(0)) -> c14(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(0), s(s(0))), INC(s(0))) COUNT(x0, s(s(z0))) -> c14(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(s(z0)), s(s(inc(z0)))), INC(s(s(z0)))) COUNT(empty, s(x1)) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), s(x1), s(inc(x1))), INC(s(x1))) COUNT(empty, s(x1)) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(empty, s(x1)) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(empty, s(x1)) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(empty, s(x1)) -> c14(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(x0, s(x1)) -> c14(INC(s(x1))) COUNT(empty, s(x1)) -> c14(INC(s(x1))) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), empty)), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), empty)), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), empty)), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x0, inc(x0)), INC(x0)) COUNT(empty, 0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), 0, s(0))) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), z1)), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), z1)), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x2, inc(x2)), INC(x2)) COUNT(node(x0, x1), 0) -> c14(IF(isEmpty(node(x0, x1)), isEmpty(left(node(x0, x1))), right(node(x0, x1)), node(left(left(node(x0, x1))), node(right(left(node(x0, x1))), x1)), 0, s(0))) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(empty, right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(empty), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(empty), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, 0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), 0, s(0))) COUNT(node(node(z0, z1), x1), x2) -> c14(IF(isEmpty(node(node(z0, z1), x1)), isEmpty(left(node(node(z0, z1), x1))), right(node(node(z0, z1), x1)), node(left(left(node(node(z0, z1), x1))), node(z1, right(node(node(z0, z1), x1)))), x2, inc(x2)), INC(x2)) COUNT(node(empty, x1), x2) -> c14(IF(isEmpty(node(empty, x1)), isEmpty(left(node(empty, x1))), right(node(empty, x1)), node(left(left(node(empty, x1))), node(empty, right(node(empty, x1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(z0), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(x0, x1), 0) -> c14(IF(isEmpty(node(x0, x1)), isEmpty(left(node(x0, x1))), right(node(x0, x1)), node(left(left(node(x0, x1))), node(right(x0), right(node(x0, x1)))), 0, s(0))) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(empty, node(right(left(empty)), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(empty), node(right(left(empty)), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, 0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), 0, s(0))) COUNT(node(node(z0, z1), x1), x2) -> c14(IF(isEmpty(node(node(z0, z1), x1)), isEmpty(left(node(node(z0, z1), x1))), right(node(node(z0, z1), x1)), node(z0, node(right(left(node(node(z0, z1), x1))), right(node(node(z0, z1), x1)))), x2, inc(x2)), INC(x2)) COUNT(node(empty, x1), x2) -> c14(IF(isEmpty(node(empty, x1)), isEmpty(left(node(empty, x1))), right(node(empty, x1)), node(empty, node(right(left(node(empty, x1))), right(node(empty, x1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(x0, x1), 0) -> c14(IF(isEmpty(node(x0, x1)), isEmpty(left(node(x0, x1))), right(node(x0, x1)), node(left(x0), node(right(left(node(x0, x1))), right(node(x0, x1)))), 0, s(0))) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(empty), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, 0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), 0, s(0))) S tuples: INC(s(z0)) -> c7(INC(z0)) IF(false, false, z0, z1, z2, z3) -> c16(COUNT(z1, z2)) IF(false, true, z0, z1, z2, z3) -> c17(COUNT(z0, z3)) COUNT(node(z0, z1), x1) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1)), INC(x1)) COUNT(empty, x1) -> c14(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1)), INC(x1)) COUNT(node(z0, z1), x1) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1)), INC(x1)) COUNT(node(z0, z1), x1) -> c14(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1)), INC(x1)) COUNT(x0, 0) -> c14(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(x0, 0) -> c8(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(x0, s(z0)) -> c8(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0)))) COUNT(empty, x1) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1))) COUNT(empty, x1) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c8(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c8(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, 0) -> c9(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(x0, s(z0)) -> c9(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0)))) COUNT(empty, x1) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1))) COUNT(empty, x1) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c9(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c9(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, 0) -> c10(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(x0, s(z0)) -> c10(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0)))) COUNT(empty, x1) -> c10(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1))) COUNT(empty, x1) -> c10(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c10(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c10(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c10(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, 0) -> c11(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(x0, s(z0)) -> c11(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0)))) COUNT(empty, x1) -> c11(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1))) COUNT(empty, x1) -> c11(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c11(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c11(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c11(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, 0) -> c12(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(x0, s(z0)) -> c12(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0)))) COUNT(empty, x1) -> c12(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1))) COUNT(empty, x1) -> c12(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c12(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c12(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c12(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, 0) -> c13(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(x0, s(z0)) -> c13(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0)))) COUNT(empty, x1) -> c13(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1))) COUNT(empty, x1) -> c13(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c13(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c13(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c13(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, s(0)) -> c14(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(0), s(s(0))), INC(s(0))) COUNT(x0, s(s(z0))) -> c14(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(s(z0)), s(s(inc(z0)))), INC(s(s(z0)))) COUNT(empty, s(x1)) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), s(x1), s(inc(x1))), INC(s(x1))) COUNT(empty, s(x1)) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(empty, s(x1)) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(empty, s(x1)) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(empty, s(x1)) -> c14(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), empty)), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), empty)), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), empty)), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x0, inc(x0)), INC(x0)) COUNT(empty, 0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), 0, s(0))) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), z1)), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), z1)), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x2, inc(x2)), INC(x2)) COUNT(node(x0, x1), 0) -> c14(IF(isEmpty(node(x0, x1)), isEmpty(left(node(x0, x1))), right(node(x0, x1)), node(left(left(node(x0, x1))), node(right(left(node(x0, x1))), x1)), 0, s(0))) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(empty, right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(empty), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(empty), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, 0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), 0, s(0))) COUNT(node(node(z0, z1), x1), x2) -> c14(IF(isEmpty(node(node(z0, z1), x1)), isEmpty(left(node(node(z0, z1), x1))), right(node(node(z0, z1), x1)), node(left(left(node(node(z0, z1), x1))), node(z1, right(node(node(z0, z1), x1)))), x2, inc(x2)), INC(x2)) COUNT(node(empty, x1), x2) -> c14(IF(isEmpty(node(empty, x1)), isEmpty(left(node(empty, x1))), right(node(empty, x1)), node(left(left(node(empty, x1))), node(empty, right(node(empty, x1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(z0), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(x0, x1), 0) -> c14(IF(isEmpty(node(x0, x1)), isEmpty(left(node(x0, x1))), right(node(x0, x1)), node(left(left(node(x0, x1))), node(right(x0), right(node(x0, x1)))), 0, s(0))) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(empty, node(right(left(empty)), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(empty), node(right(left(empty)), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, 0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), 0, s(0))) COUNT(node(node(z0, z1), x1), x2) -> c14(IF(isEmpty(node(node(z0, z1), x1)), isEmpty(left(node(node(z0, z1), x1))), right(node(node(z0, z1), x1)), node(z0, node(right(left(node(node(z0, z1), x1))), right(node(node(z0, z1), x1)))), x2, inc(x2)), INC(x2)) COUNT(node(empty, x1), x2) -> c14(IF(isEmpty(node(empty, x1)), isEmpty(left(node(empty, x1))), right(node(empty, x1)), node(empty, node(right(left(node(empty, x1))), right(node(empty, x1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(x0, x1), 0) -> c14(IF(isEmpty(node(x0, x1)), isEmpty(left(node(x0, x1))), right(node(x0, x1)), node(left(x0), node(right(left(node(x0, x1))), right(node(x0, x1)))), 0, s(0))) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(empty), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, 0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), 0, s(0))) COUNT(empty, x0) -> c14(INC(x0)) K tuples: COUNT(empty, x1) -> c14(INC(x1)) COUNT(x0, s(x1)) -> c14(INC(s(x1))) COUNT(empty, s(x1)) -> c14(INC(s(x1))) Defined Rule Symbols: isEmpty_1, left_1, right_1, inc_1 Defined Pair Symbols: INC_1, IF_6, COUNT_2 Compound Symbols: c7_1, c16_1, c17_1, c14_2, c14_1, c8_1, c9_1, c10_1, c11_1, c12_1, c13_1 ---------------------------------------- (133) CdtKnowledgeProof (BOTH BOUNDS(ID, ID)) The following tuples could be moved from S to K by knowledge propagation: COUNT(empty, x1) -> c14(INC(x1)) COUNT(empty, x0) -> c14(INC(x0)) COUNT(empty, x0) -> c14(INC(x0)) COUNT(empty, x0) -> c14(INC(x0)) COUNT(empty, x0) -> c14(INC(x0)) ---------------------------------------- (134) Obligation: Complexity Dependency Tuples Problem Rules: isEmpty(empty) -> true isEmpty(node(z0, z1)) -> false left(empty) -> empty left(node(z0, z1)) -> z0 right(empty) -> empty right(node(z0, z1)) -> z1 inc(0) -> s(0) inc(s(z0)) -> s(inc(z0)) Tuples: INC(s(z0)) -> c7(INC(z0)) IF(false, false, z0, z1, z2, z3) -> c16(COUNT(z1, z2)) IF(false, true, z0, z1, z2, z3) -> c17(COUNT(z0, z3)) COUNT(node(z0, z1), x1) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1)), INC(x1)) COUNT(empty, x1) -> c14(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1)), INC(x1)) COUNT(node(z0, z1), x1) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1)), INC(x1)) COUNT(node(z0, z1), x1) -> c14(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1)), INC(x1)) COUNT(x0, 0) -> c14(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(empty, x1) -> c14(INC(x1)) COUNT(x0, 0) -> c8(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(x0, s(z0)) -> c8(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0)))) COUNT(empty, x1) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1))) COUNT(empty, x1) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c8(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c8(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, 0) -> c9(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(x0, s(z0)) -> c9(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0)))) COUNT(empty, x1) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1))) COUNT(empty, x1) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c9(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c9(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, 0) -> c10(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(x0, s(z0)) -> c10(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0)))) COUNT(empty, x1) -> c10(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1))) COUNT(empty, x1) -> c10(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c10(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c10(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c10(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, 0) -> c11(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(x0, s(z0)) -> c11(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0)))) COUNT(empty, x1) -> c11(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1))) COUNT(empty, x1) -> c11(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c11(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c11(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c11(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, 0) -> c12(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(x0, s(z0)) -> c12(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0)))) COUNT(empty, x1) -> c12(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1))) COUNT(empty, x1) -> c12(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c12(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c12(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c12(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, 0) -> c13(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(x0, s(z0)) -> c13(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0)))) COUNT(empty, x1) -> c13(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1))) COUNT(empty, x1) -> c13(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c13(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c13(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c13(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, s(0)) -> c14(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(0), s(s(0))), INC(s(0))) COUNT(x0, s(s(z0))) -> c14(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(s(z0)), s(s(inc(z0)))), INC(s(s(z0)))) COUNT(empty, s(x1)) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), s(x1), s(inc(x1))), INC(s(x1))) COUNT(empty, s(x1)) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(empty, s(x1)) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(empty, s(x1)) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(empty, s(x1)) -> c14(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(x0, s(x1)) -> c14(INC(s(x1))) COUNT(empty, s(x1)) -> c14(INC(s(x1))) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), empty)), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), empty)), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), empty)), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x0, inc(x0)), INC(x0)) COUNT(empty, 0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), 0, s(0))) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), z1)), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), z1)), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x2, inc(x2)), INC(x2)) COUNT(node(x0, x1), 0) -> c14(IF(isEmpty(node(x0, x1)), isEmpty(left(node(x0, x1))), right(node(x0, x1)), node(left(left(node(x0, x1))), node(right(left(node(x0, x1))), x1)), 0, s(0))) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(empty, right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(empty), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(empty), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, 0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), 0, s(0))) COUNT(node(node(z0, z1), x1), x2) -> c14(IF(isEmpty(node(node(z0, z1), x1)), isEmpty(left(node(node(z0, z1), x1))), right(node(node(z0, z1), x1)), node(left(left(node(node(z0, z1), x1))), node(z1, right(node(node(z0, z1), x1)))), x2, inc(x2)), INC(x2)) COUNT(node(empty, x1), x2) -> c14(IF(isEmpty(node(empty, x1)), isEmpty(left(node(empty, x1))), right(node(empty, x1)), node(left(left(node(empty, x1))), node(empty, right(node(empty, x1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(z0), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(x0, x1), 0) -> c14(IF(isEmpty(node(x0, x1)), isEmpty(left(node(x0, x1))), right(node(x0, x1)), node(left(left(node(x0, x1))), node(right(x0), right(node(x0, x1)))), 0, s(0))) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(empty, node(right(left(empty)), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(empty), node(right(left(empty)), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, 0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), 0, s(0))) COUNT(node(node(z0, z1), x1), x2) -> c14(IF(isEmpty(node(node(z0, z1), x1)), isEmpty(left(node(node(z0, z1), x1))), right(node(node(z0, z1), x1)), node(z0, node(right(left(node(node(z0, z1), x1))), right(node(node(z0, z1), x1)))), x2, inc(x2)), INC(x2)) COUNT(node(empty, x1), x2) -> c14(IF(isEmpty(node(empty, x1)), isEmpty(left(node(empty, x1))), right(node(empty, x1)), node(empty, node(right(left(node(empty, x1))), right(node(empty, x1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(x0, x1), 0) -> c14(IF(isEmpty(node(x0, x1)), isEmpty(left(node(x0, x1))), right(node(x0, x1)), node(left(x0), node(right(left(node(x0, x1))), right(node(x0, x1)))), 0, s(0))) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(empty), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, 0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), 0, s(0))) S tuples: INC(s(z0)) -> c7(INC(z0)) IF(false, false, z0, z1, z2, z3) -> c16(COUNT(z1, z2)) IF(false, true, z0, z1, z2, z3) -> c17(COUNT(z0, z3)) COUNT(node(z0, z1), x1) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1)), INC(x1)) COUNT(empty, x1) -> c14(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1)), INC(x1)) COUNT(node(z0, z1), x1) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1)), INC(x1)) COUNT(node(z0, z1), x1) -> c14(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1)), INC(x1)) COUNT(x0, 0) -> c14(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(x0, 0) -> c8(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(x0, s(z0)) -> c8(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0)))) COUNT(empty, x1) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1))) COUNT(empty, x1) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c8(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c8(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, 0) -> c9(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(x0, s(z0)) -> c9(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0)))) COUNT(empty, x1) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1))) COUNT(empty, x1) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c9(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c9(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, 0) -> c10(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(x0, s(z0)) -> c10(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0)))) COUNT(empty, x1) -> c10(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1))) COUNT(empty, x1) -> c10(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c10(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c10(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c10(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, 0) -> c11(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(x0, s(z0)) -> c11(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0)))) COUNT(empty, x1) -> c11(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1))) COUNT(empty, x1) -> c11(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c11(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c11(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c11(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, 0) -> c12(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(x0, s(z0)) -> c12(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0)))) COUNT(empty, x1) -> c12(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1))) COUNT(empty, x1) -> c12(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c12(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c12(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c12(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, 0) -> c13(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(x0, s(z0)) -> c13(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0)))) COUNT(empty, x1) -> c13(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1))) COUNT(empty, x1) -> c13(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c13(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c13(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c13(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, s(0)) -> c14(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(0), s(s(0))), INC(s(0))) COUNT(x0, s(s(z0))) -> c14(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(s(z0)), s(s(inc(z0)))), INC(s(s(z0)))) COUNT(empty, s(x1)) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), s(x1), s(inc(x1))), INC(s(x1))) COUNT(empty, s(x1)) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(empty, s(x1)) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(empty, s(x1)) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(empty, s(x1)) -> c14(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), empty)), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), empty)), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), empty)), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x0, inc(x0)), INC(x0)) COUNT(empty, 0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), 0, s(0))) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), z1)), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), z1)), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x2, inc(x2)), INC(x2)) COUNT(node(x0, x1), 0) -> c14(IF(isEmpty(node(x0, x1)), isEmpty(left(node(x0, x1))), right(node(x0, x1)), node(left(left(node(x0, x1))), node(right(left(node(x0, x1))), x1)), 0, s(0))) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(empty, right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(empty), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(empty), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, 0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), 0, s(0))) COUNT(node(node(z0, z1), x1), x2) -> c14(IF(isEmpty(node(node(z0, z1), x1)), isEmpty(left(node(node(z0, z1), x1))), right(node(node(z0, z1), x1)), node(left(left(node(node(z0, z1), x1))), node(z1, right(node(node(z0, z1), x1)))), x2, inc(x2)), INC(x2)) COUNT(node(empty, x1), x2) -> c14(IF(isEmpty(node(empty, x1)), isEmpty(left(node(empty, x1))), right(node(empty, x1)), node(left(left(node(empty, x1))), node(empty, right(node(empty, x1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(z0), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(x0, x1), 0) -> c14(IF(isEmpty(node(x0, x1)), isEmpty(left(node(x0, x1))), right(node(x0, x1)), node(left(left(node(x0, x1))), node(right(x0), right(node(x0, x1)))), 0, s(0))) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(empty, node(right(left(empty)), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(empty), node(right(left(empty)), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, 0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), 0, s(0))) COUNT(node(node(z0, z1), x1), x2) -> c14(IF(isEmpty(node(node(z0, z1), x1)), isEmpty(left(node(node(z0, z1), x1))), right(node(node(z0, z1), x1)), node(z0, node(right(left(node(node(z0, z1), x1))), right(node(node(z0, z1), x1)))), x2, inc(x2)), INC(x2)) COUNT(node(empty, x1), x2) -> c14(IF(isEmpty(node(empty, x1)), isEmpty(left(node(empty, x1))), right(node(empty, x1)), node(empty, node(right(left(node(empty, x1))), right(node(empty, x1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(x0, x1), 0) -> c14(IF(isEmpty(node(x0, x1)), isEmpty(left(node(x0, x1))), right(node(x0, x1)), node(left(x0), node(right(left(node(x0, x1))), right(node(x0, x1)))), 0, s(0))) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(empty), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, 0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), 0, s(0))) K tuples: COUNT(empty, x1) -> c14(INC(x1)) COUNT(x0, s(x1)) -> c14(INC(s(x1))) COUNT(empty, s(x1)) -> c14(INC(s(x1))) Defined Rule Symbols: isEmpty_1, left_1, right_1, inc_1 Defined Pair Symbols: INC_1, IF_6, COUNT_2 Compound Symbols: c7_1, c16_1, c17_1, c14_2, c14_1, c8_1, c9_1, c10_1, c11_1, c12_1, c13_1 ---------------------------------------- (135) CdtNarrowingProof (BOTH BOUNDS(ID, ID)) Use narrowing to replace COUNT(node(z0, z1), x1) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1)), INC(x1)) by COUNT(node(x0, x1), 0) -> c14(IF(isEmpty(node(x0, x1)), isEmpty(left(node(x0, x1))), x1, node(left(left(node(x0, x1))), node(right(left(node(x0, x1))), right(node(x0, x1)))), 0, s(0)), INC(0)) COUNT(node(x0, x1), s(z0)) -> c14(IF(isEmpty(node(x0, x1)), isEmpty(left(node(x0, x1))), x1, node(left(left(node(x0, x1))), node(right(left(node(x0, x1))), right(node(x0, x1)))), s(z0), s(inc(z0))), INC(s(z0))) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(z0), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(false, isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) ---------------------------------------- (136) Obligation: Complexity Dependency Tuples Problem Rules: isEmpty(empty) -> true isEmpty(node(z0, z1)) -> false left(empty) -> empty left(node(z0, z1)) -> z0 right(empty) -> empty right(node(z0, z1)) -> z1 inc(0) -> s(0) inc(s(z0)) -> s(inc(z0)) Tuples: INC(s(z0)) -> c7(INC(z0)) IF(false, false, z0, z1, z2, z3) -> c16(COUNT(z1, z2)) IF(false, true, z0, z1, z2, z3) -> c17(COUNT(z0, z3)) COUNT(empty, x1) -> c14(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1)), INC(x1)) COUNT(node(z0, z1), x1) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1)), INC(x1)) COUNT(node(z0, z1), x1) -> c14(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1)), INC(x1)) COUNT(x0, 0) -> c14(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(empty, x1) -> c14(INC(x1)) COUNT(x0, 0) -> c8(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(x0, s(z0)) -> c8(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0)))) COUNT(empty, x1) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1))) COUNT(empty, x1) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c8(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c8(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, 0) -> c9(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(x0, s(z0)) -> c9(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0)))) COUNT(empty, x1) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1))) COUNT(empty, x1) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c9(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c9(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, 0) -> c10(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(x0, s(z0)) -> c10(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0)))) COUNT(empty, x1) -> c10(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1))) COUNT(empty, x1) -> c10(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c10(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c10(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c10(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, 0) -> c11(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(x0, s(z0)) -> c11(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0)))) COUNT(empty, x1) -> c11(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1))) COUNT(empty, x1) -> c11(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c11(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c11(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c11(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, 0) -> c12(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(x0, s(z0)) -> c12(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0)))) COUNT(empty, x1) -> c12(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1))) COUNT(empty, x1) -> c12(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c12(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c12(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c12(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, 0) -> c13(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(x0, s(z0)) -> c13(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0)))) COUNT(empty, x1) -> c13(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1))) COUNT(empty, x1) -> c13(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c13(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c13(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c13(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, s(0)) -> c14(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(0), s(s(0))), INC(s(0))) COUNT(x0, s(s(z0))) -> c14(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(s(z0)), s(s(inc(z0)))), INC(s(s(z0)))) COUNT(empty, s(x1)) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), s(x1), s(inc(x1))), INC(s(x1))) COUNT(empty, s(x1)) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(empty, s(x1)) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(empty, s(x1)) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(empty, s(x1)) -> c14(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(x0, s(x1)) -> c14(INC(s(x1))) COUNT(empty, s(x1)) -> c14(INC(s(x1))) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), empty)), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), empty)), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), empty)), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x0, inc(x0)), INC(x0)) COUNT(empty, 0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), 0, s(0))) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), z1)), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), z1)), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x2, inc(x2)), INC(x2)) COUNT(node(x0, x1), 0) -> c14(IF(isEmpty(node(x0, x1)), isEmpty(left(node(x0, x1))), right(node(x0, x1)), node(left(left(node(x0, x1))), node(right(left(node(x0, x1))), x1)), 0, s(0))) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(empty, right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(empty), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(empty), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, 0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), 0, s(0))) COUNT(node(node(z0, z1), x1), x2) -> c14(IF(isEmpty(node(node(z0, z1), x1)), isEmpty(left(node(node(z0, z1), x1))), right(node(node(z0, z1), x1)), node(left(left(node(node(z0, z1), x1))), node(z1, right(node(node(z0, z1), x1)))), x2, inc(x2)), INC(x2)) COUNT(node(empty, x1), x2) -> c14(IF(isEmpty(node(empty, x1)), isEmpty(left(node(empty, x1))), right(node(empty, x1)), node(left(left(node(empty, x1))), node(empty, right(node(empty, x1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(z0), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(x0, x1), 0) -> c14(IF(isEmpty(node(x0, x1)), isEmpty(left(node(x0, x1))), right(node(x0, x1)), node(left(left(node(x0, x1))), node(right(x0), right(node(x0, x1)))), 0, s(0))) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(empty, node(right(left(empty)), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(empty), node(right(left(empty)), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, 0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), 0, s(0))) COUNT(node(node(z0, z1), x1), x2) -> c14(IF(isEmpty(node(node(z0, z1), x1)), isEmpty(left(node(node(z0, z1), x1))), right(node(node(z0, z1), x1)), node(z0, node(right(left(node(node(z0, z1), x1))), right(node(node(z0, z1), x1)))), x2, inc(x2)), INC(x2)) COUNT(node(empty, x1), x2) -> c14(IF(isEmpty(node(empty, x1)), isEmpty(left(node(empty, x1))), right(node(empty, x1)), node(empty, node(right(left(node(empty, x1))), right(node(empty, x1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(x0, x1), 0) -> c14(IF(isEmpty(node(x0, x1)), isEmpty(left(node(x0, x1))), right(node(x0, x1)), node(left(x0), node(right(left(node(x0, x1))), right(node(x0, x1)))), 0, s(0))) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(empty), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, 0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), 0, s(0))) COUNT(node(x0, x1), 0) -> c14(IF(isEmpty(node(x0, x1)), isEmpty(left(node(x0, x1))), x1, node(left(left(node(x0, x1))), node(right(left(node(x0, x1))), right(node(x0, x1)))), 0, s(0)), INC(0)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(z0), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(false, isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) S tuples: INC(s(z0)) -> c7(INC(z0)) IF(false, false, z0, z1, z2, z3) -> c16(COUNT(z1, z2)) IF(false, true, z0, z1, z2, z3) -> c17(COUNT(z0, z3)) COUNT(empty, x1) -> c14(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1)), INC(x1)) COUNT(node(z0, z1), x1) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1)), INC(x1)) COUNT(node(z0, z1), x1) -> c14(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1)), INC(x1)) COUNT(x0, 0) -> c14(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(x0, 0) -> c8(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(x0, s(z0)) -> c8(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0)))) COUNT(empty, x1) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1))) COUNT(empty, x1) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c8(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c8(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, 0) -> c9(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(x0, s(z0)) -> c9(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0)))) COUNT(empty, x1) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1))) COUNT(empty, x1) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c9(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c9(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, 0) -> c10(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(x0, s(z0)) -> c10(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0)))) COUNT(empty, x1) -> c10(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1))) COUNT(empty, x1) -> c10(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c10(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c10(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c10(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, 0) -> c11(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(x0, s(z0)) -> c11(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0)))) COUNT(empty, x1) -> c11(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1))) COUNT(empty, x1) -> c11(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c11(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c11(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c11(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, 0) -> c12(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(x0, s(z0)) -> c12(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0)))) COUNT(empty, x1) -> c12(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1))) COUNT(empty, x1) -> c12(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c12(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c12(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c12(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, 0) -> c13(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(x0, s(z0)) -> c13(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0)))) COUNT(empty, x1) -> c13(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1))) COUNT(empty, x1) -> c13(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c13(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c13(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c13(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, s(0)) -> c14(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(0), s(s(0))), INC(s(0))) COUNT(x0, s(s(z0))) -> c14(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(s(z0)), s(s(inc(z0)))), INC(s(s(z0)))) COUNT(empty, s(x1)) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), s(x1), s(inc(x1))), INC(s(x1))) COUNT(empty, s(x1)) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(empty, s(x1)) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(empty, s(x1)) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(empty, s(x1)) -> c14(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), empty)), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), empty)), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), empty)), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x0, inc(x0)), INC(x0)) COUNT(empty, 0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), 0, s(0))) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), z1)), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), z1)), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x2, inc(x2)), INC(x2)) COUNT(node(x0, x1), 0) -> c14(IF(isEmpty(node(x0, x1)), isEmpty(left(node(x0, x1))), right(node(x0, x1)), node(left(left(node(x0, x1))), node(right(left(node(x0, x1))), x1)), 0, s(0))) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(empty, right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(empty), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(empty), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, 0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), 0, s(0))) COUNT(node(node(z0, z1), x1), x2) -> c14(IF(isEmpty(node(node(z0, z1), x1)), isEmpty(left(node(node(z0, z1), x1))), right(node(node(z0, z1), x1)), node(left(left(node(node(z0, z1), x1))), node(z1, right(node(node(z0, z1), x1)))), x2, inc(x2)), INC(x2)) COUNT(node(empty, x1), x2) -> c14(IF(isEmpty(node(empty, x1)), isEmpty(left(node(empty, x1))), right(node(empty, x1)), node(left(left(node(empty, x1))), node(empty, right(node(empty, x1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(z0), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(x0, x1), 0) -> c14(IF(isEmpty(node(x0, x1)), isEmpty(left(node(x0, x1))), right(node(x0, x1)), node(left(left(node(x0, x1))), node(right(x0), right(node(x0, x1)))), 0, s(0))) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(empty, node(right(left(empty)), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(empty), node(right(left(empty)), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, 0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), 0, s(0))) COUNT(node(node(z0, z1), x1), x2) -> c14(IF(isEmpty(node(node(z0, z1), x1)), isEmpty(left(node(node(z0, z1), x1))), right(node(node(z0, z1), x1)), node(z0, node(right(left(node(node(z0, z1), x1))), right(node(node(z0, z1), x1)))), x2, inc(x2)), INC(x2)) COUNT(node(empty, x1), x2) -> c14(IF(isEmpty(node(empty, x1)), isEmpty(left(node(empty, x1))), right(node(empty, x1)), node(empty, node(right(left(node(empty, x1))), right(node(empty, x1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(x0, x1), 0) -> c14(IF(isEmpty(node(x0, x1)), isEmpty(left(node(x0, x1))), right(node(x0, x1)), node(left(x0), node(right(left(node(x0, x1))), right(node(x0, x1)))), 0, s(0))) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(empty), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, 0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), 0, s(0))) COUNT(node(x0, x1), 0) -> c14(IF(isEmpty(node(x0, x1)), isEmpty(left(node(x0, x1))), x1, node(left(left(node(x0, x1))), node(right(left(node(x0, x1))), right(node(x0, x1)))), 0, s(0)), INC(0)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(z0), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(false, isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) K tuples: COUNT(empty, x1) -> c14(INC(x1)) COUNT(x0, s(x1)) -> c14(INC(s(x1))) COUNT(empty, s(x1)) -> c14(INC(s(x1))) Defined Rule Symbols: isEmpty_1, left_1, right_1, inc_1 Defined Pair Symbols: INC_1, IF_6, COUNT_2 Compound Symbols: c7_1, c16_1, c17_1, c14_2, c14_1, c8_1, c9_1, c10_1, c11_1, c12_1, c13_1 ---------------------------------------- (137) CdtRhsSimplificationProcessorProof (BOTH BOUNDS(ID, ID)) Removed 1 trailing tuple parts ---------------------------------------- (138) Obligation: Complexity Dependency Tuples Problem Rules: isEmpty(empty) -> true isEmpty(node(z0, z1)) -> false left(empty) -> empty left(node(z0, z1)) -> z0 right(empty) -> empty right(node(z0, z1)) -> z1 inc(0) -> s(0) inc(s(z0)) -> s(inc(z0)) Tuples: INC(s(z0)) -> c7(INC(z0)) IF(false, false, z0, z1, z2, z3) -> c16(COUNT(z1, z2)) IF(false, true, z0, z1, z2, z3) -> c17(COUNT(z0, z3)) COUNT(empty, x1) -> c14(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1)), INC(x1)) COUNT(node(z0, z1), x1) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1)), INC(x1)) COUNT(node(z0, z1), x1) -> c14(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1)), INC(x1)) COUNT(x0, 0) -> c14(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(empty, x1) -> c14(INC(x1)) COUNT(x0, 0) -> c8(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(x0, s(z0)) -> c8(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0)))) COUNT(empty, x1) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1))) COUNT(empty, x1) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c8(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c8(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, 0) -> c9(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(x0, s(z0)) -> c9(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0)))) COUNT(empty, x1) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1))) COUNT(empty, x1) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c9(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c9(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, 0) -> c10(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(x0, s(z0)) -> c10(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0)))) COUNT(empty, x1) -> c10(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1))) COUNT(empty, x1) -> c10(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c10(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c10(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c10(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, 0) -> c11(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(x0, s(z0)) -> c11(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0)))) COUNT(empty, x1) -> c11(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1))) COUNT(empty, x1) -> c11(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c11(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c11(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c11(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, 0) -> c12(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(x0, s(z0)) -> c12(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0)))) COUNT(empty, x1) -> c12(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1))) COUNT(empty, x1) -> c12(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c12(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c12(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c12(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, 0) -> c13(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(x0, s(z0)) -> c13(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0)))) COUNT(empty, x1) -> c13(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1))) COUNT(empty, x1) -> c13(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c13(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c13(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c13(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, s(0)) -> c14(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(0), s(s(0))), INC(s(0))) COUNT(x0, s(s(z0))) -> c14(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(s(z0)), s(s(inc(z0)))), INC(s(s(z0)))) COUNT(empty, s(x1)) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), s(x1), s(inc(x1))), INC(s(x1))) COUNT(empty, s(x1)) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(empty, s(x1)) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(empty, s(x1)) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(empty, s(x1)) -> c14(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(x0, s(x1)) -> c14(INC(s(x1))) COUNT(empty, s(x1)) -> c14(INC(s(x1))) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), empty)), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), empty)), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), empty)), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x0, inc(x0)), INC(x0)) COUNT(empty, 0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), 0, s(0))) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), z1)), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), z1)), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x2, inc(x2)), INC(x2)) COUNT(node(x0, x1), 0) -> c14(IF(isEmpty(node(x0, x1)), isEmpty(left(node(x0, x1))), right(node(x0, x1)), node(left(left(node(x0, x1))), node(right(left(node(x0, x1))), x1)), 0, s(0))) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(empty, right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(empty), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(empty), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, 0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), 0, s(0))) COUNT(node(node(z0, z1), x1), x2) -> c14(IF(isEmpty(node(node(z0, z1), x1)), isEmpty(left(node(node(z0, z1), x1))), right(node(node(z0, z1), x1)), node(left(left(node(node(z0, z1), x1))), node(z1, right(node(node(z0, z1), x1)))), x2, inc(x2)), INC(x2)) COUNT(node(empty, x1), x2) -> c14(IF(isEmpty(node(empty, x1)), isEmpty(left(node(empty, x1))), right(node(empty, x1)), node(left(left(node(empty, x1))), node(empty, right(node(empty, x1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(z0), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(x0, x1), 0) -> c14(IF(isEmpty(node(x0, x1)), isEmpty(left(node(x0, x1))), right(node(x0, x1)), node(left(left(node(x0, x1))), node(right(x0), right(node(x0, x1)))), 0, s(0))) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(empty, node(right(left(empty)), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(empty), node(right(left(empty)), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, 0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), 0, s(0))) COUNT(node(node(z0, z1), x1), x2) -> c14(IF(isEmpty(node(node(z0, z1), x1)), isEmpty(left(node(node(z0, z1), x1))), right(node(node(z0, z1), x1)), node(z0, node(right(left(node(node(z0, z1), x1))), right(node(node(z0, z1), x1)))), x2, inc(x2)), INC(x2)) COUNT(node(empty, x1), x2) -> c14(IF(isEmpty(node(empty, x1)), isEmpty(left(node(empty, x1))), right(node(empty, x1)), node(empty, node(right(left(node(empty, x1))), right(node(empty, x1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(x0, x1), 0) -> c14(IF(isEmpty(node(x0, x1)), isEmpty(left(node(x0, x1))), right(node(x0, x1)), node(left(x0), node(right(left(node(x0, x1))), right(node(x0, x1)))), 0, s(0))) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(empty), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, 0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), 0, s(0))) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(z0), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(false, isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(x0, x1), 0) -> c14(IF(isEmpty(node(x0, x1)), isEmpty(left(node(x0, x1))), x1, node(left(left(node(x0, x1))), node(right(left(node(x0, x1))), right(node(x0, x1)))), 0, s(0))) S tuples: INC(s(z0)) -> c7(INC(z0)) IF(false, false, z0, z1, z2, z3) -> c16(COUNT(z1, z2)) IF(false, true, z0, z1, z2, z3) -> c17(COUNT(z0, z3)) COUNT(empty, x1) -> c14(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1)), INC(x1)) COUNT(node(z0, z1), x1) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1)), INC(x1)) COUNT(node(z0, z1), x1) -> c14(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1)), INC(x1)) COUNT(x0, 0) -> c14(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(x0, 0) -> c8(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(x0, s(z0)) -> c8(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0)))) COUNT(empty, x1) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1))) COUNT(empty, x1) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c8(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c8(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, 0) -> c9(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(x0, s(z0)) -> c9(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0)))) COUNT(empty, x1) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1))) COUNT(empty, x1) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c9(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c9(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, 0) -> c10(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(x0, s(z0)) -> c10(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0)))) COUNT(empty, x1) -> c10(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1))) COUNT(empty, x1) -> c10(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c10(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c10(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c10(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, 0) -> c11(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(x0, s(z0)) -> c11(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0)))) COUNT(empty, x1) -> c11(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1))) COUNT(empty, x1) -> c11(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c11(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c11(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c11(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, 0) -> c12(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(x0, s(z0)) -> c12(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0)))) COUNT(empty, x1) -> c12(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1))) COUNT(empty, x1) -> c12(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c12(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c12(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c12(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, 0) -> c13(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(x0, s(z0)) -> c13(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0)))) COUNT(empty, x1) -> c13(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1))) COUNT(empty, x1) -> c13(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c13(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c13(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c13(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, s(0)) -> c14(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(0), s(s(0))), INC(s(0))) COUNT(x0, s(s(z0))) -> c14(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(s(z0)), s(s(inc(z0)))), INC(s(s(z0)))) COUNT(empty, s(x1)) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), s(x1), s(inc(x1))), INC(s(x1))) COUNT(empty, s(x1)) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(empty, s(x1)) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(empty, s(x1)) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(empty, s(x1)) -> c14(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), empty)), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), empty)), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), empty)), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x0, inc(x0)), INC(x0)) COUNT(empty, 0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), 0, s(0))) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), z1)), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), z1)), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x2, inc(x2)), INC(x2)) COUNT(node(x0, x1), 0) -> c14(IF(isEmpty(node(x0, x1)), isEmpty(left(node(x0, x1))), right(node(x0, x1)), node(left(left(node(x0, x1))), node(right(left(node(x0, x1))), x1)), 0, s(0))) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(empty, right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(empty), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(empty), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, 0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), 0, s(0))) COUNT(node(node(z0, z1), x1), x2) -> c14(IF(isEmpty(node(node(z0, z1), x1)), isEmpty(left(node(node(z0, z1), x1))), right(node(node(z0, z1), x1)), node(left(left(node(node(z0, z1), x1))), node(z1, right(node(node(z0, z1), x1)))), x2, inc(x2)), INC(x2)) COUNT(node(empty, x1), x2) -> c14(IF(isEmpty(node(empty, x1)), isEmpty(left(node(empty, x1))), right(node(empty, x1)), node(left(left(node(empty, x1))), node(empty, right(node(empty, x1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(z0), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(x0, x1), 0) -> c14(IF(isEmpty(node(x0, x1)), isEmpty(left(node(x0, x1))), right(node(x0, x1)), node(left(left(node(x0, x1))), node(right(x0), right(node(x0, x1)))), 0, s(0))) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(empty, node(right(left(empty)), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(empty), node(right(left(empty)), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, 0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), 0, s(0))) COUNT(node(node(z0, z1), x1), x2) -> c14(IF(isEmpty(node(node(z0, z1), x1)), isEmpty(left(node(node(z0, z1), x1))), right(node(node(z0, z1), x1)), node(z0, node(right(left(node(node(z0, z1), x1))), right(node(node(z0, z1), x1)))), x2, inc(x2)), INC(x2)) COUNT(node(empty, x1), x2) -> c14(IF(isEmpty(node(empty, x1)), isEmpty(left(node(empty, x1))), right(node(empty, x1)), node(empty, node(right(left(node(empty, x1))), right(node(empty, x1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(x0, x1), 0) -> c14(IF(isEmpty(node(x0, x1)), isEmpty(left(node(x0, x1))), right(node(x0, x1)), node(left(x0), node(right(left(node(x0, x1))), right(node(x0, x1)))), 0, s(0))) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(empty), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, 0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), 0, s(0))) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(z0), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(false, isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(x0, x1), 0) -> c14(IF(isEmpty(node(x0, x1)), isEmpty(left(node(x0, x1))), x1, node(left(left(node(x0, x1))), node(right(left(node(x0, x1))), right(node(x0, x1)))), 0, s(0))) K tuples: COUNT(empty, x1) -> c14(INC(x1)) COUNT(x0, s(x1)) -> c14(INC(s(x1))) COUNT(empty, s(x1)) -> c14(INC(s(x1))) Defined Rule Symbols: isEmpty_1, left_1, right_1, inc_1 Defined Pair Symbols: INC_1, IF_6, COUNT_2 Compound Symbols: c7_1, c16_1, c17_1, c14_2, c14_1, c8_1, c9_1, c10_1, c11_1, c12_1, c13_1 ---------------------------------------- (139) CdtNarrowingProof (BOTH BOUNDS(ID, ID)) Use narrowing to replace COUNT(empty, x1) -> c14(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1)), INC(x1)) by COUNT(empty, 0) -> c14(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), 0, s(0)), INC(0)) COUNT(empty, s(z0)) -> c14(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), s(z0), s(inc(z0))), INC(s(z0))) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(empty), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), true, right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(true, isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x0, inc(x0)), INC(x0)) ---------------------------------------- (140) Obligation: Complexity Dependency Tuples Problem Rules: isEmpty(empty) -> true isEmpty(node(z0, z1)) -> false left(empty) -> empty left(node(z0, z1)) -> z0 right(empty) -> empty right(node(z0, z1)) -> z1 inc(0) -> s(0) inc(s(z0)) -> s(inc(z0)) Tuples: INC(s(z0)) -> c7(INC(z0)) IF(false, false, z0, z1, z2, z3) -> c16(COUNT(z1, z2)) IF(false, true, z0, z1, z2, z3) -> c17(COUNT(z0, z3)) COUNT(node(z0, z1), x1) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1)), INC(x1)) COUNT(node(z0, z1), x1) -> c14(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1)), INC(x1)) COUNT(x0, 0) -> c14(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(empty, x1) -> c14(INC(x1)) COUNT(x0, 0) -> c8(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(x0, s(z0)) -> c8(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0)))) COUNT(empty, x1) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1))) COUNT(empty, x1) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c8(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c8(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, 0) -> c9(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(x0, s(z0)) -> c9(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0)))) COUNT(empty, x1) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1))) COUNT(empty, x1) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c9(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c9(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, 0) -> c10(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(x0, s(z0)) -> c10(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0)))) COUNT(empty, x1) -> c10(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1))) COUNT(empty, x1) -> c10(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c10(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c10(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c10(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, 0) -> c11(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(x0, s(z0)) -> c11(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0)))) COUNT(empty, x1) -> c11(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1))) COUNT(empty, x1) -> c11(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c11(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c11(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c11(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, 0) -> c12(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(x0, s(z0)) -> c12(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0)))) COUNT(empty, x1) -> c12(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1))) COUNT(empty, x1) -> c12(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c12(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c12(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c12(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, 0) -> c13(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(x0, s(z0)) -> c13(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0)))) COUNT(empty, x1) -> c13(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1))) COUNT(empty, x1) -> c13(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c13(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c13(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c13(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, s(0)) -> c14(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(0), s(s(0))), INC(s(0))) COUNT(x0, s(s(z0))) -> c14(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(s(z0)), s(s(inc(z0)))), INC(s(s(z0)))) COUNT(empty, s(x1)) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), s(x1), s(inc(x1))), INC(s(x1))) COUNT(empty, s(x1)) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(empty, s(x1)) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(empty, s(x1)) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(empty, s(x1)) -> c14(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(x0, s(x1)) -> c14(INC(s(x1))) COUNT(empty, s(x1)) -> c14(INC(s(x1))) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), empty)), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), empty)), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), empty)), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x0, inc(x0)), INC(x0)) COUNT(empty, 0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), 0, s(0))) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), z1)), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), z1)), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x2, inc(x2)), INC(x2)) COUNT(node(x0, x1), 0) -> c14(IF(isEmpty(node(x0, x1)), isEmpty(left(node(x0, x1))), right(node(x0, x1)), node(left(left(node(x0, x1))), node(right(left(node(x0, x1))), x1)), 0, s(0))) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(empty, right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(empty), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(empty), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, 0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), 0, s(0))) COUNT(node(node(z0, z1), x1), x2) -> c14(IF(isEmpty(node(node(z0, z1), x1)), isEmpty(left(node(node(z0, z1), x1))), right(node(node(z0, z1), x1)), node(left(left(node(node(z0, z1), x1))), node(z1, right(node(node(z0, z1), x1)))), x2, inc(x2)), INC(x2)) COUNT(node(empty, x1), x2) -> c14(IF(isEmpty(node(empty, x1)), isEmpty(left(node(empty, x1))), right(node(empty, x1)), node(left(left(node(empty, x1))), node(empty, right(node(empty, x1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(z0), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(x0, x1), 0) -> c14(IF(isEmpty(node(x0, x1)), isEmpty(left(node(x0, x1))), right(node(x0, x1)), node(left(left(node(x0, x1))), node(right(x0), right(node(x0, x1)))), 0, s(0))) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(empty, node(right(left(empty)), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(empty), node(right(left(empty)), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, 0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), 0, s(0))) COUNT(node(node(z0, z1), x1), x2) -> c14(IF(isEmpty(node(node(z0, z1), x1)), isEmpty(left(node(node(z0, z1), x1))), right(node(node(z0, z1), x1)), node(z0, node(right(left(node(node(z0, z1), x1))), right(node(node(z0, z1), x1)))), x2, inc(x2)), INC(x2)) COUNT(node(empty, x1), x2) -> c14(IF(isEmpty(node(empty, x1)), isEmpty(left(node(empty, x1))), right(node(empty, x1)), node(empty, node(right(left(node(empty, x1))), right(node(empty, x1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(x0, x1), 0) -> c14(IF(isEmpty(node(x0, x1)), isEmpty(left(node(x0, x1))), right(node(x0, x1)), node(left(x0), node(right(left(node(x0, x1))), right(node(x0, x1)))), 0, s(0))) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(empty), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, 0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), 0, s(0))) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(z0), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(false, isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(x0, x1), 0) -> c14(IF(isEmpty(node(x0, x1)), isEmpty(left(node(x0, x1))), x1, node(left(left(node(x0, x1))), node(right(left(node(x0, x1))), right(node(x0, x1)))), 0, s(0))) COUNT(empty, 0) -> c14(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), 0, s(0)), INC(0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), true, right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(true, isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x0, inc(x0)), INC(x0)) S tuples: INC(s(z0)) -> c7(INC(z0)) IF(false, false, z0, z1, z2, z3) -> c16(COUNT(z1, z2)) IF(false, true, z0, z1, z2, z3) -> c17(COUNT(z0, z3)) COUNT(node(z0, z1), x1) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1)), INC(x1)) COUNT(node(z0, z1), x1) -> c14(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1)), INC(x1)) COUNT(x0, 0) -> c14(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(x0, 0) -> c8(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(x0, s(z0)) -> c8(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0)))) COUNT(empty, x1) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1))) COUNT(empty, x1) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c8(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c8(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, 0) -> c9(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(x0, s(z0)) -> c9(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0)))) COUNT(empty, x1) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1))) COUNT(empty, x1) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c9(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c9(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, 0) -> c10(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(x0, s(z0)) -> c10(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0)))) COUNT(empty, x1) -> c10(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1))) COUNT(empty, x1) -> c10(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c10(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c10(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c10(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, 0) -> c11(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(x0, s(z0)) -> c11(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0)))) COUNT(empty, x1) -> c11(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1))) COUNT(empty, x1) -> c11(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c11(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c11(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c11(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, 0) -> c12(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(x0, s(z0)) -> c12(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0)))) COUNT(empty, x1) -> c12(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1))) COUNT(empty, x1) -> c12(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c12(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c12(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c12(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, 0) -> c13(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(x0, s(z0)) -> c13(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0)))) COUNT(empty, x1) -> c13(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1))) COUNT(empty, x1) -> c13(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c13(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c13(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c13(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, s(0)) -> c14(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(0), s(s(0))), INC(s(0))) COUNT(x0, s(s(z0))) -> c14(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(s(z0)), s(s(inc(z0)))), INC(s(s(z0)))) COUNT(empty, s(x1)) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), s(x1), s(inc(x1))), INC(s(x1))) COUNT(empty, s(x1)) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(empty, s(x1)) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(empty, s(x1)) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(empty, s(x1)) -> c14(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), empty)), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), empty)), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), empty)), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x0, inc(x0)), INC(x0)) COUNT(empty, 0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), 0, s(0))) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), z1)), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), z1)), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x2, inc(x2)), INC(x2)) COUNT(node(x0, x1), 0) -> c14(IF(isEmpty(node(x0, x1)), isEmpty(left(node(x0, x1))), right(node(x0, x1)), node(left(left(node(x0, x1))), node(right(left(node(x0, x1))), x1)), 0, s(0))) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(empty, right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(empty), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(empty), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, 0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), 0, s(0))) COUNT(node(node(z0, z1), x1), x2) -> c14(IF(isEmpty(node(node(z0, z1), x1)), isEmpty(left(node(node(z0, z1), x1))), right(node(node(z0, z1), x1)), node(left(left(node(node(z0, z1), x1))), node(z1, right(node(node(z0, z1), x1)))), x2, inc(x2)), INC(x2)) COUNT(node(empty, x1), x2) -> c14(IF(isEmpty(node(empty, x1)), isEmpty(left(node(empty, x1))), right(node(empty, x1)), node(left(left(node(empty, x1))), node(empty, right(node(empty, x1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(z0), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(x0, x1), 0) -> c14(IF(isEmpty(node(x0, x1)), isEmpty(left(node(x0, x1))), right(node(x0, x1)), node(left(left(node(x0, x1))), node(right(x0), right(node(x0, x1)))), 0, s(0))) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(empty, node(right(left(empty)), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(empty), node(right(left(empty)), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, 0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), 0, s(0))) COUNT(node(node(z0, z1), x1), x2) -> c14(IF(isEmpty(node(node(z0, z1), x1)), isEmpty(left(node(node(z0, z1), x1))), right(node(node(z0, z1), x1)), node(z0, node(right(left(node(node(z0, z1), x1))), right(node(node(z0, z1), x1)))), x2, inc(x2)), INC(x2)) COUNT(node(empty, x1), x2) -> c14(IF(isEmpty(node(empty, x1)), isEmpty(left(node(empty, x1))), right(node(empty, x1)), node(empty, node(right(left(node(empty, x1))), right(node(empty, x1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(x0, x1), 0) -> c14(IF(isEmpty(node(x0, x1)), isEmpty(left(node(x0, x1))), right(node(x0, x1)), node(left(x0), node(right(left(node(x0, x1))), right(node(x0, x1)))), 0, s(0))) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(empty), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, 0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), 0, s(0))) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(z0), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(false, isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(x0, x1), 0) -> c14(IF(isEmpty(node(x0, x1)), isEmpty(left(node(x0, x1))), x1, node(left(left(node(x0, x1))), node(right(left(node(x0, x1))), right(node(x0, x1)))), 0, s(0))) COUNT(empty, 0) -> c14(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), 0, s(0)), INC(0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), true, right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(true, isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x0, inc(x0)), INC(x0)) K tuples: COUNT(empty, x1) -> c14(INC(x1)) COUNT(x0, s(x1)) -> c14(INC(s(x1))) COUNT(empty, s(x1)) -> c14(INC(s(x1))) Defined Rule Symbols: isEmpty_1, left_1, right_1, inc_1 Defined Pair Symbols: INC_1, IF_6, COUNT_2 Compound Symbols: c7_1, c16_1, c17_1, c14_2, c14_1, c8_1, c9_1, c10_1, c11_1, c12_1, c13_1 ---------------------------------------- (141) CdtRhsSimplificationProcessorProof (BOTH BOUNDS(ID, ID)) Removed 2 trailing tuple parts ---------------------------------------- (142) Obligation: Complexity Dependency Tuples Problem Rules: isEmpty(empty) -> true isEmpty(node(z0, z1)) -> false left(empty) -> empty left(node(z0, z1)) -> z0 right(empty) -> empty right(node(z0, z1)) -> z1 inc(0) -> s(0) inc(s(z0)) -> s(inc(z0)) Tuples: INC(s(z0)) -> c7(INC(z0)) IF(false, false, z0, z1, z2, z3) -> c16(COUNT(z1, z2)) IF(false, true, z0, z1, z2, z3) -> c17(COUNT(z0, z3)) COUNT(node(z0, z1), x1) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1)), INC(x1)) COUNT(node(z0, z1), x1) -> c14(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1)), INC(x1)) COUNT(x0, 0) -> c14(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(empty, x1) -> c14(INC(x1)) COUNT(x0, 0) -> c8(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(x0, s(z0)) -> c8(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0)))) COUNT(empty, x1) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1))) COUNT(empty, x1) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c8(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c8(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, 0) -> c9(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(x0, s(z0)) -> c9(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0)))) COUNT(empty, x1) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1))) COUNT(empty, x1) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c9(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c9(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, 0) -> c10(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(x0, s(z0)) -> c10(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0)))) COUNT(empty, x1) -> c10(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1))) COUNT(empty, x1) -> c10(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c10(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c10(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c10(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, 0) -> c11(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(x0, s(z0)) -> c11(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0)))) COUNT(empty, x1) -> c11(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1))) COUNT(empty, x1) -> c11(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c11(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c11(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c11(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, 0) -> c12(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(x0, s(z0)) -> c12(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0)))) COUNT(empty, x1) -> c12(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1))) COUNT(empty, x1) -> c12(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c12(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c12(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c12(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, 0) -> c13(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(x0, s(z0)) -> c13(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0)))) COUNT(empty, x1) -> c13(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1))) COUNT(empty, x1) -> c13(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c13(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c13(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c13(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, s(0)) -> c14(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(0), s(s(0))), INC(s(0))) COUNT(x0, s(s(z0))) -> c14(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(s(z0)), s(s(inc(z0)))), INC(s(s(z0)))) COUNT(empty, s(x1)) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), s(x1), s(inc(x1))), INC(s(x1))) COUNT(empty, s(x1)) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(empty, s(x1)) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(empty, s(x1)) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(empty, s(x1)) -> c14(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(x0, s(x1)) -> c14(INC(s(x1))) COUNT(empty, s(x1)) -> c14(INC(s(x1))) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), empty)), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), empty)), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), empty)), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x0, inc(x0)), INC(x0)) COUNT(empty, 0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), 0, s(0))) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), z1)), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), z1)), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x2, inc(x2)), INC(x2)) COUNT(node(x0, x1), 0) -> c14(IF(isEmpty(node(x0, x1)), isEmpty(left(node(x0, x1))), right(node(x0, x1)), node(left(left(node(x0, x1))), node(right(left(node(x0, x1))), x1)), 0, s(0))) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(empty, right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(empty), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(empty), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, 0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), 0, s(0))) COUNT(node(node(z0, z1), x1), x2) -> c14(IF(isEmpty(node(node(z0, z1), x1)), isEmpty(left(node(node(z0, z1), x1))), right(node(node(z0, z1), x1)), node(left(left(node(node(z0, z1), x1))), node(z1, right(node(node(z0, z1), x1)))), x2, inc(x2)), INC(x2)) COUNT(node(empty, x1), x2) -> c14(IF(isEmpty(node(empty, x1)), isEmpty(left(node(empty, x1))), right(node(empty, x1)), node(left(left(node(empty, x1))), node(empty, right(node(empty, x1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(z0), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(x0, x1), 0) -> c14(IF(isEmpty(node(x0, x1)), isEmpty(left(node(x0, x1))), right(node(x0, x1)), node(left(left(node(x0, x1))), node(right(x0), right(node(x0, x1)))), 0, s(0))) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(empty, node(right(left(empty)), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(empty), node(right(left(empty)), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, 0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), 0, s(0))) COUNT(node(node(z0, z1), x1), x2) -> c14(IF(isEmpty(node(node(z0, z1), x1)), isEmpty(left(node(node(z0, z1), x1))), right(node(node(z0, z1), x1)), node(z0, node(right(left(node(node(z0, z1), x1))), right(node(node(z0, z1), x1)))), x2, inc(x2)), INC(x2)) COUNT(node(empty, x1), x2) -> c14(IF(isEmpty(node(empty, x1)), isEmpty(left(node(empty, x1))), right(node(empty, x1)), node(empty, node(right(left(node(empty, x1))), right(node(empty, x1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(x0, x1), 0) -> c14(IF(isEmpty(node(x0, x1)), isEmpty(left(node(x0, x1))), right(node(x0, x1)), node(left(x0), node(right(left(node(x0, x1))), right(node(x0, x1)))), 0, s(0))) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(empty), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, 0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), 0, s(0))) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(z0), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(false, isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(x0, x1), 0) -> c14(IF(isEmpty(node(x0, x1)), isEmpty(left(node(x0, x1))), x1, node(left(left(node(x0, x1))), node(right(left(node(x0, x1))), right(node(x0, x1)))), 0, s(0))) COUNT(empty, x0) -> c14(IF(isEmpty(empty), true, right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, 0) -> c14(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), 0, s(0))) S tuples: INC(s(z0)) -> c7(INC(z0)) IF(false, false, z0, z1, z2, z3) -> c16(COUNT(z1, z2)) IF(false, true, z0, z1, z2, z3) -> c17(COUNT(z0, z3)) COUNT(node(z0, z1), x1) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1)), INC(x1)) COUNT(node(z0, z1), x1) -> c14(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1)), INC(x1)) COUNT(x0, 0) -> c14(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(x0, 0) -> c8(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(x0, s(z0)) -> c8(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0)))) COUNT(empty, x1) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1))) COUNT(empty, x1) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c8(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c8(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, 0) -> c9(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(x0, s(z0)) -> c9(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0)))) COUNT(empty, x1) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1))) COUNT(empty, x1) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c9(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c9(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, 0) -> c10(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(x0, s(z0)) -> c10(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0)))) COUNT(empty, x1) -> c10(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1))) COUNT(empty, x1) -> c10(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c10(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c10(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c10(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, 0) -> c11(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(x0, s(z0)) -> c11(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0)))) COUNT(empty, x1) -> c11(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1))) COUNT(empty, x1) -> c11(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c11(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c11(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c11(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, 0) -> c12(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(x0, s(z0)) -> c12(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0)))) COUNT(empty, x1) -> c12(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1))) COUNT(empty, x1) -> c12(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c12(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c12(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c12(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, 0) -> c13(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(x0, s(z0)) -> c13(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0)))) COUNT(empty, x1) -> c13(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1))) COUNT(empty, x1) -> c13(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c13(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c13(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c13(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, s(0)) -> c14(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(0), s(s(0))), INC(s(0))) COUNT(x0, s(s(z0))) -> c14(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(s(z0)), s(s(inc(z0)))), INC(s(s(z0)))) COUNT(empty, s(x1)) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), s(x1), s(inc(x1))), INC(s(x1))) COUNT(empty, s(x1)) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(empty, s(x1)) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(empty, s(x1)) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(empty, s(x1)) -> c14(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), empty)), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), empty)), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), empty)), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x0, inc(x0)), INC(x0)) COUNT(empty, 0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), 0, s(0))) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), z1)), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), z1)), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x2, inc(x2)), INC(x2)) COUNT(node(x0, x1), 0) -> c14(IF(isEmpty(node(x0, x1)), isEmpty(left(node(x0, x1))), right(node(x0, x1)), node(left(left(node(x0, x1))), node(right(left(node(x0, x1))), x1)), 0, s(0))) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(empty, right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(empty), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(empty), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, 0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), 0, s(0))) COUNT(node(node(z0, z1), x1), x2) -> c14(IF(isEmpty(node(node(z0, z1), x1)), isEmpty(left(node(node(z0, z1), x1))), right(node(node(z0, z1), x1)), node(left(left(node(node(z0, z1), x1))), node(z1, right(node(node(z0, z1), x1)))), x2, inc(x2)), INC(x2)) COUNT(node(empty, x1), x2) -> c14(IF(isEmpty(node(empty, x1)), isEmpty(left(node(empty, x1))), right(node(empty, x1)), node(left(left(node(empty, x1))), node(empty, right(node(empty, x1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(z0), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(x0, x1), 0) -> c14(IF(isEmpty(node(x0, x1)), isEmpty(left(node(x0, x1))), right(node(x0, x1)), node(left(left(node(x0, x1))), node(right(x0), right(node(x0, x1)))), 0, s(0))) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(empty, node(right(left(empty)), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(empty), node(right(left(empty)), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, 0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), 0, s(0))) COUNT(node(node(z0, z1), x1), x2) -> c14(IF(isEmpty(node(node(z0, z1), x1)), isEmpty(left(node(node(z0, z1), x1))), right(node(node(z0, z1), x1)), node(z0, node(right(left(node(node(z0, z1), x1))), right(node(node(z0, z1), x1)))), x2, inc(x2)), INC(x2)) COUNT(node(empty, x1), x2) -> c14(IF(isEmpty(node(empty, x1)), isEmpty(left(node(empty, x1))), right(node(empty, x1)), node(empty, node(right(left(node(empty, x1))), right(node(empty, x1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(x0, x1), 0) -> c14(IF(isEmpty(node(x0, x1)), isEmpty(left(node(x0, x1))), right(node(x0, x1)), node(left(x0), node(right(left(node(x0, x1))), right(node(x0, x1)))), 0, s(0))) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(empty), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, 0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), 0, s(0))) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(z0), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(false, isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(x0, x1), 0) -> c14(IF(isEmpty(node(x0, x1)), isEmpty(left(node(x0, x1))), x1, node(left(left(node(x0, x1))), node(right(left(node(x0, x1))), right(node(x0, x1)))), 0, s(0))) COUNT(empty, x0) -> c14(IF(isEmpty(empty), true, right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, 0) -> c14(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), 0, s(0))) COUNT(empty, x0) -> c14(INC(x0)) K tuples: COUNT(empty, x1) -> c14(INC(x1)) COUNT(x0, s(x1)) -> c14(INC(s(x1))) COUNT(empty, s(x1)) -> c14(INC(s(x1))) Defined Rule Symbols: isEmpty_1, left_1, right_1, inc_1 Defined Pair Symbols: INC_1, IF_6, COUNT_2 Compound Symbols: c7_1, c16_1, c17_1, c14_2, c14_1, c8_1, c9_1, c10_1, c11_1, c12_1, c13_1 ---------------------------------------- (143) CdtKnowledgeProof (BOTH BOUNDS(ID, ID)) The following tuples could be moved from S to K by knowledge propagation: COUNT(empty, x1) -> c14(INC(x1)) COUNT(empty, x0) -> c14(INC(x0)) COUNT(empty, x0) -> c14(INC(x0)) COUNT(empty, x0) -> c14(INC(x0)) COUNT(empty, x0) -> c14(INC(x0)) COUNT(empty, x0) -> c14(INC(x0)) ---------------------------------------- (144) Obligation: Complexity Dependency Tuples Problem Rules: isEmpty(empty) -> true isEmpty(node(z0, z1)) -> false left(empty) -> empty left(node(z0, z1)) -> z0 right(empty) -> empty right(node(z0, z1)) -> z1 inc(0) -> s(0) inc(s(z0)) -> s(inc(z0)) Tuples: INC(s(z0)) -> c7(INC(z0)) IF(false, false, z0, z1, z2, z3) -> c16(COUNT(z1, z2)) IF(false, true, z0, z1, z2, z3) -> c17(COUNT(z0, z3)) COUNT(node(z0, z1), x1) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1)), INC(x1)) COUNT(node(z0, z1), x1) -> c14(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1)), INC(x1)) COUNT(x0, 0) -> c14(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(empty, x1) -> c14(INC(x1)) COUNT(x0, 0) -> c8(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(x0, s(z0)) -> c8(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0)))) COUNT(empty, x1) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1))) COUNT(empty, x1) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c8(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c8(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, 0) -> c9(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(x0, s(z0)) -> c9(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0)))) COUNT(empty, x1) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1))) COUNT(empty, x1) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c9(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c9(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, 0) -> c10(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(x0, s(z0)) -> c10(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0)))) COUNT(empty, x1) -> c10(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1))) COUNT(empty, x1) -> c10(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c10(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c10(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c10(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, 0) -> c11(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(x0, s(z0)) -> c11(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0)))) COUNT(empty, x1) -> c11(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1))) COUNT(empty, x1) -> c11(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c11(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c11(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c11(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, 0) -> c12(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(x0, s(z0)) -> c12(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0)))) COUNT(empty, x1) -> c12(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1))) COUNT(empty, x1) -> c12(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c12(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c12(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c12(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, 0) -> c13(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(x0, s(z0)) -> c13(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0)))) COUNT(empty, x1) -> c13(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1))) COUNT(empty, x1) -> c13(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c13(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c13(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c13(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, s(0)) -> c14(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(0), s(s(0))), INC(s(0))) COUNT(x0, s(s(z0))) -> c14(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(s(z0)), s(s(inc(z0)))), INC(s(s(z0)))) COUNT(empty, s(x1)) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), s(x1), s(inc(x1))), INC(s(x1))) COUNT(empty, s(x1)) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(empty, s(x1)) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(empty, s(x1)) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(empty, s(x1)) -> c14(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(x0, s(x1)) -> c14(INC(s(x1))) COUNT(empty, s(x1)) -> c14(INC(s(x1))) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), empty)), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), empty)), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), empty)), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x0, inc(x0)), INC(x0)) COUNT(empty, 0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), 0, s(0))) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), z1)), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), z1)), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x2, inc(x2)), INC(x2)) COUNT(node(x0, x1), 0) -> c14(IF(isEmpty(node(x0, x1)), isEmpty(left(node(x0, x1))), right(node(x0, x1)), node(left(left(node(x0, x1))), node(right(left(node(x0, x1))), x1)), 0, s(0))) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(empty, right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(empty), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(empty), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, 0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), 0, s(0))) COUNT(node(node(z0, z1), x1), x2) -> c14(IF(isEmpty(node(node(z0, z1), x1)), isEmpty(left(node(node(z0, z1), x1))), right(node(node(z0, z1), x1)), node(left(left(node(node(z0, z1), x1))), node(z1, right(node(node(z0, z1), x1)))), x2, inc(x2)), INC(x2)) COUNT(node(empty, x1), x2) -> c14(IF(isEmpty(node(empty, x1)), isEmpty(left(node(empty, x1))), right(node(empty, x1)), node(left(left(node(empty, x1))), node(empty, right(node(empty, x1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(z0), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(x0, x1), 0) -> c14(IF(isEmpty(node(x0, x1)), isEmpty(left(node(x0, x1))), right(node(x0, x1)), node(left(left(node(x0, x1))), node(right(x0), right(node(x0, x1)))), 0, s(0))) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(empty, node(right(left(empty)), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(empty), node(right(left(empty)), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, 0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), 0, s(0))) COUNT(node(node(z0, z1), x1), x2) -> c14(IF(isEmpty(node(node(z0, z1), x1)), isEmpty(left(node(node(z0, z1), x1))), right(node(node(z0, z1), x1)), node(z0, node(right(left(node(node(z0, z1), x1))), right(node(node(z0, z1), x1)))), x2, inc(x2)), INC(x2)) COUNT(node(empty, x1), x2) -> c14(IF(isEmpty(node(empty, x1)), isEmpty(left(node(empty, x1))), right(node(empty, x1)), node(empty, node(right(left(node(empty, x1))), right(node(empty, x1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(x0, x1), 0) -> c14(IF(isEmpty(node(x0, x1)), isEmpty(left(node(x0, x1))), right(node(x0, x1)), node(left(x0), node(right(left(node(x0, x1))), right(node(x0, x1)))), 0, s(0))) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(empty), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, 0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), 0, s(0))) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(z0), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(false, isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(x0, x1), 0) -> c14(IF(isEmpty(node(x0, x1)), isEmpty(left(node(x0, x1))), x1, node(left(left(node(x0, x1))), node(right(left(node(x0, x1))), right(node(x0, x1)))), 0, s(0))) COUNT(empty, x0) -> c14(IF(isEmpty(empty), true, right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, 0) -> c14(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), 0, s(0))) S tuples: INC(s(z0)) -> c7(INC(z0)) IF(false, false, z0, z1, z2, z3) -> c16(COUNT(z1, z2)) IF(false, true, z0, z1, z2, z3) -> c17(COUNT(z0, z3)) COUNT(node(z0, z1), x1) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1)), INC(x1)) COUNT(node(z0, z1), x1) -> c14(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1)), INC(x1)) COUNT(x0, 0) -> c14(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(x0, 0) -> c8(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(x0, s(z0)) -> c8(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0)))) COUNT(empty, x1) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1))) COUNT(empty, x1) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c8(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c8(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, 0) -> c9(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(x0, s(z0)) -> c9(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0)))) COUNT(empty, x1) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1))) COUNT(empty, x1) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c9(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c9(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, 0) -> c10(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(x0, s(z0)) -> c10(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0)))) COUNT(empty, x1) -> c10(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1))) COUNT(empty, x1) -> c10(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c10(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c10(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c10(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, 0) -> c11(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(x0, s(z0)) -> c11(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0)))) COUNT(empty, x1) -> c11(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1))) COUNT(empty, x1) -> c11(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c11(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c11(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c11(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, 0) -> c12(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(x0, s(z0)) -> c12(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0)))) COUNT(empty, x1) -> c12(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1))) COUNT(empty, x1) -> c12(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c12(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c12(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c12(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, 0) -> c13(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(x0, s(z0)) -> c13(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0)))) COUNT(empty, x1) -> c13(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1))) COUNT(empty, x1) -> c13(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c13(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c13(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c13(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, s(0)) -> c14(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(0), s(s(0))), INC(s(0))) COUNT(x0, s(s(z0))) -> c14(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(s(z0)), s(s(inc(z0)))), INC(s(s(z0)))) COUNT(empty, s(x1)) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), s(x1), s(inc(x1))), INC(s(x1))) COUNT(empty, s(x1)) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(empty, s(x1)) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(empty, s(x1)) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(empty, s(x1)) -> c14(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), empty)), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), empty)), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), empty)), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x0, inc(x0)), INC(x0)) COUNT(empty, 0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), 0, s(0))) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), z1)), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), z1)), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x2, inc(x2)), INC(x2)) COUNT(node(x0, x1), 0) -> c14(IF(isEmpty(node(x0, x1)), isEmpty(left(node(x0, x1))), right(node(x0, x1)), node(left(left(node(x0, x1))), node(right(left(node(x0, x1))), x1)), 0, s(0))) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(empty, right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(empty), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(empty), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, 0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), 0, s(0))) COUNT(node(node(z0, z1), x1), x2) -> c14(IF(isEmpty(node(node(z0, z1), x1)), isEmpty(left(node(node(z0, z1), x1))), right(node(node(z0, z1), x1)), node(left(left(node(node(z0, z1), x1))), node(z1, right(node(node(z0, z1), x1)))), x2, inc(x2)), INC(x2)) COUNT(node(empty, x1), x2) -> c14(IF(isEmpty(node(empty, x1)), isEmpty(left(node(empty, x1))), right(node(empty, x1)), node(left(left(node(empty, x1))), node(empty, right(node(empty, x1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(z0), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(x0, x1), 0) -> c14(IF(isEmpty(node(x0, x1)), isEmpty(left(node(x0, x1))), right(node(x0, x1)), node(left(left(node(x0, x1))), node(right(x0), right(node(x0, x1)))), 0, s(0))) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(empty, node(right(left(empty)), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(empty), node(right(left(empty)), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, 0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), 0, s(0))) COUNT(node(node(z0, z1), x1), x2) -> c14(IF(isEmpty(node(node(z0, z1), x1)), isEmpty(left(node(node(z0, z1), x1))), right(node(node(z0, z1), x1)), node(z0, node(right(left(node(node(z0, z1), x1))), right(node(node(z0, z1), x1)))), x2, inc(x2)), INC(x2)) COUNT(node(empty, x1), x2) -> c14(IF(isEmpty(node(empty, x1)), isEmpty(left(node(empty, x1))), right(node(empty, x1)), node(empty, node(right(left(node(empty, x1))), right(node(empty, x1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(x0, x1), 0) -> c14(IF(isEmpty(node(x0, x1)), isEmpty(left(node(x0, x1))), right(node(x0, x1)), node(left(x0), node(right(left(node(x0, x1))), right(node(x0, x1)))), 0, s(0))) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(empty), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, 0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), 0, s(0))) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(z0), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(false, isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(x0, x1), 0) -> c14(IF(isEmpty(node(x0, x1)), isEmpty(left(node(x0, x1))), x1, node(left(left(node(x0, x1))), node(right(left(node(x0, x1))), right(node(x0, x1)))), 0, s(0))) COUNT(empty, x0) -> c14(IF(isEmpty(empty), true, right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, 0) -> c14(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), 0, s(0))) K tuples: COUNT(empty, x1) -> c14(INC(x1)) COUNT(x0, s(x1)) -> c14(INC(s(x1))) COUNT(empty, s(x1)) -> c14(INC(s(x1))) Defined Rule Symbols: isEmpty_1, left_1, right_1, inc_1 Defined Pair Symbols: INC_1, IF_6, COUNT_2 Compound Symbols: c7_1, c16_1, c17_1, c14_2, c14_1, c8_1, c9_1, c10_1, c11_1, c12_1, c13_1 ---------------------------------------- (145) CdtNarrowingProof (BOTH BOUNDS(ID, ID)) Use narrowing to replace COUNT(node(z0, z1), x1) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1)), INC(x1)) by COUNT(node(x0, x1), 0) -> c14(IF(isEmpty(node(x0, x1)), isEmpty(x0), right(node(x0, x1)), node(left(left(node(x0, x1))), node(right(left(node(x0, x1))), right(node(x0, x1)))), 0, s(0)), INC(0)) COUNT(node(x0, x1), s(z0)) -> c14(IF(isEmpty(node(x0, x1)), isEmpty(x0), right(node(x0, x1)), node(left(left(node(x0, x1))), node(right(left(node(x0, x1))), right(node(x0, x1)))), s(z0), s(inc(z0))), INC(s(z0))) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(z0), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(node(z0, z1), x1), x2) -> c14(IF(isEmpty(node(node(z0, z1), x1)), false, right(node(node(z0, z1), x1)), node(left(left(node(node(z0, z1), x1))), node(right(left(node(node(z0, z1), x1))), right(node(node(z0, z1), x1)))), x2, inc(x2)), INC(x2)) COUNT(node(empty, x1), x2) -> c14(IF(isEmpty(node(empty, x1)), true, right(node(empty, x1)), node(left(left(node(empty, x1))), node(right(left(node(empty, x1))), right(node(empty, x1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(false, isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) ---------------------------------------- (146) Obligation: Complexity Dependency Tuples Problem Rules: isEmpty(empty) -> true isEmpty(node(z0, z1)) -> false left(empty) -> empty left(node(z0, z1)) -> z0 right(empty) -> empty right(node(z0, z1)) -> z1 inc(0) -> s(0) inc(s(z0)) -> s(inc(z0)) Tuples: INC(s(z0)) -> c7(INC(z0)) IF(false, false, z0, z1, z2, z3) -> c16(COUNT(z1, z2)) IF(false, true, z0, z1, z2, z3) -> c17(COUNT(z0, z3)) COUNT(node(z0, z1), x1) -> c14(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1)), INC(x1)) COUNT(x0, 0) -> c14(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(empty, x1) -> c14(INC(x1)) COUNT(x0, 0) -> c8(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(x0, s(z0)) -> c8(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0)))) COUNT(empty, x1) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1))) COUNT(empty, x1) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c8(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c8(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, 0) -> c9(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(x0, s(z0)) -> c9(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0)))) COUNT(empty, x1) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1))) COUNT(empty, x1) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c9(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c9(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, 0) -> c10(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(x0, s(z0)) -> c10(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0)))) COUNT(empty, x1) -> c10(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1))) COUNT(empty, x1) -> c10(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c10(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c10(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c10(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, 0) -> c11(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(x0, s(z0)) -> c11(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0)))) COUNT(empty, x1) -> c11(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1))) COUNT(empty, x1) -> c11(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c11(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c11(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c11(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, 0) -> c12(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(x0, s(z0)) -> c12(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0)))) COUNT(empty, x1) -> c12(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1))) COUNT(empty, x1) -> c12(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c12(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c12(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c12(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, 0) -> c13(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(x0, s(z0)) -> c13(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0)))) COUNT(empty, x1) -> c13(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1))) COUNT(empty, x1) -> c13(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c13(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c13(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c13(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, s(0)) -> c14(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(0), s(s(0))), INC(s(0))) COUNT(x0, s(s(z0))) -> c14(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(s(z0)), s(s(inc(z0)))), INC(s(s(z0)))) COUNT(empty, s(x1)) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), s(x1), s(inc(x1))), INC(s(x1))) COUNT(empty, s(x1)) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(empty, s(x1)) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(empty, s(x1)) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(empty, s(x1)) -> c14(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(x0, s(x1)) -> c14(INC(s(x1))) COUNT(empty, s(x1)) -> c14(INC(s(x1))) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), empty)), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), empty)), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), empty)), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x0, inc(x0)), INC(x0)) COUNT(empty, 0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), 0, s(0))) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), z1)), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), z1)), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x2, inc(x2)), INC(x2)) COUNT(node(x0, x1), 0) -> c14(IF(isEmpty(node(x0, x1)), isEmpty(left(node(x0, x1))), right(node(x0, x1)), node(left(left(node(x0, x1))), node(right(left(node(x0, x1))), x1)), 0, s(0))) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(empty, right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(empty), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(empty), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, 0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), 0, s(0))) COUNT(node(node(z0, z1), x1), x2) -> c14(IF(isEmpty(node(node(z0, z1), x1)), isEmpty(left(node(node(z0, z1), x1))), right(node(node(z0, z1), x1)), node(left(left(node(node(z0, z1), x1))), node(z1, right(node(node(z0, z1), x1)))), x2, inc(x2)), INC(x2)) COUNT(node(empty, x1), x2) -> c14(IF(isEmpty(node(empty, x1)), isEmpty(left(node(empty, x1))), right(node(empty, x1)), node(left(left(node(empty, x1))), node(empty, right(node(empty, x1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(z0), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(x0, x1), 0) -> c14(IF(isEmpty(node(x0, x1)), isEmpty(left(node(x0, x1))), right(node(x0, x1)), node(left(left(node(x0, x1))), node(right(x0), right(node(x0, x1)))), 0, s(0))) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(empty, node(right(left(empty)), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(empty), node(right(left(empty)), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, 0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), 0, s(0))) COUNT(node(node(z0, z1), x1), x2) -> c14(IF(isEmpty(node(node(z0, z1), x1)), isEmpty(left(node(node(z0, z1), x1))), right(node(node(z0, z1), x1)), node(z0, node(right(left(node(node(z0, z1), x1))), right(node(node(z0, z1), x1)))), x2, inc(x2)), INC(x2)) COUNT(node(empty, x1), x2) -> c14(IF(isEmpty(node(empty, x1)), isEmpty(left(node(empty, x1))), right(node(empty, x1)), node(empty, node(right(left(node(empty, x1))), right(node(empty, x1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(x0, x1), 0) -> c14(IF(isEmpty(node(x0, x1)), isEmpty(left(node(x0, x1))), right(node(x0, x1)), node(left(x0), node(right(left(node(x0, x1))), right(node(x0, x1)))), 0, s(0))) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(empty), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, 0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), 0, s(0))) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(z0), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(false, isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(x0, x1), 0) -> c14(IF(isEmpty(node(x0, x1)), isEmpty(left(node(x0, x1))), x1, node(left(left(node(x0, x1))), node(right(left(node(x0, x1))), right(node(x0, x1)))), 0, s(0))) COUNT(empty, x0) -> c14(IF(isEmpty(empty), true, right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, 0) -> c14(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), 0, s(0))) COUNT(node(x0, x1), 0) -> c14(IF(isEmpty(node(x0, x1)), isEmpty(x0), right(node(x0, x1)), node(left(left(node(x0, x1))), node(right(left(node(x0, x1))), right(node(x0, x1)))), 0, s(0)), INC(0)) COUNT(node(node(z0, z1), x1), x2) -> c14(IF(isEmpty(node(node(z0, z1), x1)), false, right(node(node(z0, z1), x1)), node(left(left(node(node(z0, z1), x1))), node(right(left(node(node(z0, z1), x1))), right(node(node(z0, z1), x1)))), x2, inc(x2)), INC(x2)) COUNT(node(empty, x1), x2) -> c14(IF(isEmpty(node(empty, x1)), true, right(node(empty, x1)), node(left(left(node(empty, x1))), node(right(left(node(empty, x1))), right(node(empty, x1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(false, isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) S tuples: INC(s(z0)) -> c7(INC(z0)) IF(false, false, z0, z1, z2, z3) -> c16(COUNT(z1, z2)) IF(false, true, z0, z1, z2, z3) -> c17(COUNT(z0, z3)) COUNT(node(z0, z1), x1) -> c14(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1)), INC(x1)) COUNT(x0, 0) -> c14(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(x0, 0) -> c8(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(x0, s(z0)) -> c8(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0)))) COUNT(empty, x1) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1))) COUNT(empty, x1) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c8(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c8(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, 0) -> c9(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(x0, s(z0)) -> c9(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0)))) COUNT(empty, x1) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1))) COUNT(empty, x1) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c9(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c9(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, 0) -> c10(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(x0, s(z0)) -> c10(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0)))) COUNT(empty, x1) -> c10(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1))) COUNT(empty, x1) -> c10(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c10(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c10(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c10(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, 0) -> c11(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(x0, s(z0)) -> c11(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0)))) COUNT(empty, x1) -> c11(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1))) COUNT(empty, x1) -> c11(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c11(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c11(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c11(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, 0) -> c12(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(x0, s(z0)) -> c12(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0)))) COUNT(empty, x1) -> c12(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1))) COUNT(empty, x1) -> c12(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c12(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c12(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c12(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, 0) -> c13(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(x0, s(z0)) -> c13(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0)))) COUNT(empty, x1) -> c13(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1))) COUNT(empty, x1) -> c13(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c13(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c13(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c13(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, s(0)) -> c14(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(0), s(s(0))), INC(s(0))) COUNT(x0, s(s(z0))) -> c14(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(s(z0)), s(s(inc(z0)))), INC(s(s(z0)))) COUNT(empty, s(x1)) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), s(x1), s(inc(x1))), INC(s(x1))) COUNT(empty, s(x1)) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(empty, s(x1)) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(empty, s(x1)) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(empty, s(x1)) -> c14(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), empty)), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), empty)), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), empty)), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x0, inc(x0)), INC(x0)) COUNT(empty, 0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), 0, s(0))) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), z1)), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), z1)), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x2, inc(x2)), INC(x2)) COUNT(node(x0, x1), 0) -> c14(IF(isEmpty(node(x0, x1)), isEmpty(left(node(x0, x1))), right(node(x0, x1)), node(left(left(node(x0, x1))), node(right(left(node(x0, x1))), x1)), 0, s(0))) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(empty, right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(empty), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(empty), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, 0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), 0, s(0))) COUNT(node(node(z0, z1), x1), x2) -> c14(IF(isEmpty(node(node(z0, z1), x1)), isEmpty(left(node(node(z0, z1), x1))), right(node(node(z0, z1), x1)), node(left(left(node(node(z0, z1), x1))), node(z1, right(node(node(z0, z1), x1)))), x2, inc(x2)), INC(x2)) COUNT(node(empty, x1), x2) -> c14(IF(isEmpty(node(empty, x1)), isEmpty(left(node(empty, x1))), right(node(empty, x1)), node(left(left(node(empty, x1))), node(empty, right(node(empty, x1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(z0), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(x0, x1), 0) -> c14(IF(isEmpty(node(x0, x1)), isEmpty(left(node(x0, x1))), right(node(x0, x1)), node(left(left(node(x0, x1))), node(right(x0), right(node(x0, x1)))), 0, s(0))) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(empty, node(right(left(empty)), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(empty), node(right(left(empty)), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, 0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), 0, s(0))) COUNT(node(node(z0, z1), x1), x2) -> c14(IF(isEmpty(node(node(z0, z1), x1)), isEmpty(left(node(node(z0, z1), x1))), right(node(node(z0, z1), x1)), node(z0, node(right(left(node(node(z0, z1), x1))), right(node(node(z0, z1), x1)))), x2, inc(x2)), INC(x2)) COUNT(node(empty, x1), x2) -> c14(IF(isEmpty(node(empty, x1)), isEmpty(left(node(empty, x1))), right(node(empty, x1)), node(empty, node(right(left(node(empty, x1))), right(node(empty, x1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(x0, x1), 0) -> c14(IF(isEmpty(node(x0, x1)), isEmpty(left(node(x0, x1))), right(node(x0, x1)), node(left(x0), node(right(left(node(x0, x1))), right(node(x0, x1)))), 0, s(0))) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(empty), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, 0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), 0, s(0))) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(z0), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(false, isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(x0, x1), 0) -> c14(IF(isEmpty(node(x0, x1)), isEmpty(left(node(x0, x1))), x1, node(left(left(node(x0, x1))), node(right(left(node(x0, x1))), right(node(x0, x1)))), 0, s(0))) COUNT(empty, x0) -> c14(IF(isEmpty(empty), true, right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, 0) -> c14(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), 0, s(0))) COUNT(node(x0, x1), 0) -> c14(IF(isEmpty(node(x0, x1)), isEmpty(x0), right(node(x0, x1)), node(left(left(node(x0, x1))), node(right(left(node(x0, x1))), right(node(x0, x1)))), 0, s(0)), INC(0)) COUNT(node(node(z0, z1), x1), x2) -> c14(IF(isEmpty(node(node(z0, z1), x1)), false, right(node(node(z0, z1), x1)), node(left(left(node(node(z0, z1), x1))), node(right(left(node(node(z0, z1), x1))), right(node(node(z0, z1), x1)))), x2, inc(x2)), INC(x2)) COUNT(node(empty, x1), x2) -> c14(IF(isEmpty(node(empty, x1)), true, right(node(empty, x1)), node(left(left(node(empty, x1))), node(right(left(node(empty, x1))), right(node(empty, x1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(false, isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) K tuples: COUNT(empty, x1) -> c14(INC(x1)) COUNT(x0, s(x1)) -> c14(INC(s(x1))) COUNT(empty, s(x1)) -> c14(INC(s(x1))) Defined Rule Symbols: isEmpty_1, left_1, right_1, inc_1 Defined Pair Symbols: INC_1, IF_6, COUNT_2 Compound Symbols: c7_1, c16_1, c17_1, c14_2, c14_1, c8_1, c9_1, c10_1, c11_1, c12_1, c13_1 ---------------------------------------- (147) CdtRhsSimplificationProcessorProof (BOTH BOUNDS(ID, ID)) Removed 1 trailing tuple parts ---------------------------------------- (148) Obligation: Complexity Dependency Tuples Problem Rules: isEmpty(empty) -> true isEmpty(node(z0, z1)) -> false left(empty) -> empty left(node(z0, z1)) -> z0 right(empty) -> empty right(node(z0, z1)) -> z1 inc(0) -> s(0) inc(s(z0)) -> s(inc(z0)) Tuples: INC(s(z0)) -> c7(INC(z0)) IF(false, false, z0, z1, z2, z3) -> c16(COUNT(z1, z2)) IF(false, true, z0, z1, z2, z3) -> c17(COUNT(z0, z3)) COUNT(node(z0, z1), x1) -> c14(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1)), INC(x1)) COUNT(x0, 0) -> c14(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(empty, x1) -> c14(INC(x1)) COUNT(x0, 0) -> c8(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(x0, s(z0)) -> c8(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0)))) COUNT(empty, x1) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1))) COUNT(empty, x1) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c8(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c8(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, 0) -> c9(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(x0, s(z0)) -> c9(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0)))) COUNT(empty, x1) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1))) COUNT(empty, x1) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c9(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c9(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, 0) -> c10(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(x0, s(z0)) -> c10(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0)))) COUNT(empty, x1) -> c10(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1))) COUNT(empty, x1) -> c10(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c10(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c10(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c10(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, 0) -> c11(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(x0, s(z0)) -> c11(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0)))) COUNT(empty, x1) -> c11(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1))) COUNT(empty, x1) -> c11(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c11(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c11(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c11(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, 0) -> c12(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(x0, s(z0)) -> c12(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0)))) COUNT(empty, x1) -> c12(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1))) COUNT(empty, x1) -> c12(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c12(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c12(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c12(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, 0) -> c13(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(x0, s(z0)) -> c13(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0)))) COUNT(empty, x1) -> c13(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1))) COUNT(empty, x1) -> c13(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c13(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c13(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c13(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, s(0)) -> c14(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(0), s(s(0))), INC(s(0))) COUNT(x0, s(s(z0))) -> c14(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(s(z0)), s(s(inc(z0)))), INC(s(s(z0)))) COUNT(empty, s(x1)) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), s(x1), s(inc(x1))), INC(s(x1))) COUNT(empty, s(x1)) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(empty, s(x1)) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(empty, s(x1)) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(empty, s(x1)) -> c14(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(x0, s(x1)) -> c14(INC(s(x1))) COUNT(empty, s(x1)) -> c14(INC(s(x1))) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), empty)), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), empty)), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), empty)), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x0, inc(x0)), INC(x0)) COUNT(empty, 0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), 0, s(0))) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), z1)), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), z1)), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x2, inc(x2)), INC(x2)) COUNT(node(x0, x1), 0) -> c14(IF(isEmpty(node(x0, x1)), isEmpty(left(node(x0, x1))), right(node(x0, x1)), node(left(left(node(x0, x1))), node(right(left(node(x0, x1))), x1)), 0, s(0))) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(empty, right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(empty), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(empty), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, 0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), 0, s(0))) COUNT(node(node(z0, z1), x1), x2) -> c14(IF(isEmpty(node(node(z0, z1), x1)), isEmpty(left(node(node(z0, z1), x1))), right(node(node(z0, z1), x1)), node(left(left(node(node(z0, z1), x1))), node(z1, right(node(node(z0, z1), x1)))), x2, inc(x2)), INC(x2)) COUNT(node(empty, x1), x2) -> c14(IF(isEmpty(node(empty, x1)), isEmpty(left(node(empty, x1))), right(node(empty, x1)), node(left(left(node(empty, x1))), node(empty, right(node(empty, x1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(z0), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(x0, x1), 0) -> c14(IF(isEmpty(node(x0, x1)), isEmpty(left(node(x0, x1))), right(node(x0, x1)), node(left(left(node(x0, x1))), node(right(x0), right(node(x0, x1)))), 0, s(0))) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(empty, node(right(left(empty)), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(empty), node(right(left(empty)), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, 0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), 0, s(0))) COUNT(node(node(z0, z1), x1), x2) -> c14(IF(isEmpty(node(node(z0, z1), x1)), isEmpty(left(node(node(z0, z1), x1))), right(node(node(z0, z1), x1)), node(z0, node(right(left(node(node(z0, z1), x1))), right(node(node(z0, z1), x1)))), x2, inc(x2)), INC(x2)) COUNT(node(empty, x1), x2) -> c14(IF(isEmpty(node(empty, x1)), isEmpty(left(node(empty, x1))), right(node(empty, x1)), node(empty, node(right(left(node(empty, x1))), right(node(empty, x1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(x0, x1), 0) -> c14(IF(isEmpty(node(x0, x1)), isEmpty(left(node(x0, x1))), right(node(x0, x1)), node(left(x0), node(right(left(node(x0, x1))), right(node(x0, x1)))), 0, s(0))) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(empty), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, 0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), 0, s(0))) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(z0), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(false, isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(x0, x1), 0) -> c14(IF(isEmpty(node(x0, x1)), isEmpty(left(node(x0, x1))), x1, node(left(left(node(x0, x1))), node(right(left(node(x0, x1))), right(node(x0, x1)))), 0, s(0))) COUNT(empty, x0) -> c14(IF(isEmpty(empty), true, right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, 0) -> c14(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), 0, s(0))) COUNT(node(node(z0, z1), x1), x2) -> c14(IF(isEmpty(node(node(z0, z1), x1)), false, right(node(node(z0, z1), x1)), node(left(left(node(node(z0, z1), x1))), node(right(left(node(node(z0, z1), x1))), right(node(node(z0, z1), x1)))), x2, inc(x2)), INC(x2)) COUNT(node(empty, x1), x2) -> c14(IF(isEmpty(node(empty, x1)), true, right(node(empty, x1)), node(left(left(node(empty, x1))), node(right(left(node(empty, x1))), right(node(empty, x1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(false, isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(x0, x1), 0) -> c14(IF(isEmpty(node(x0, x1)), isEmpty(x0), right(node(x0, x1)), node(left(left(node(x0, x1))), node(right(left(node(x0, x1))), right(node(x0, x1)))), 0, s(0))) S tuples: INC(s(z0)) -> c7(INC(z0)) IF(false, false, z0, z1, z2, z3) -> c16(COUNT(z1, z2)) IF(false, true, z0, z1, z2, z3) -> c17(COUNT(z0, z3)) COUNT(node(z0, z1), x1) -> c14(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1)), INC(x1)) COUNT(x0, 0) -> c14(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(x0, 0) -> c8(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(x0, s(z0)) -> c8(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0)))) COUNT(empty, x1) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1))) COUNT(empty, x1) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c8(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c8(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, 0) -> c9(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(x0, s(z0)) -> c9(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0)))) COUNT(empty, x1) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1))) COUNT(empty, x1) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c9(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c9(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, 0) -> c10(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(x0, s(z0)) -> c10(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0)))) COUNT(empty, x1) -> c10(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1))) COUNT(empty, x1) -> c10(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c10(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c10(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c10(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, 0) -> c11(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(x0, s(z0)) -> c11(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0)))) COUNT(empty, x1) -> c11(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1))) COUNT(empty, x1) -> c11(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c11(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c11(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c11(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, 0) -> c12(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(x0, s(z0)) -> c12(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0)))) COUNT(empty, x1) -> c12(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1))) COUNT(empty, x1) -> c12(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c12(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c12(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c12(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, 0) -> c13(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(x0, s(z0)) -> c13(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0)))) COUNT(empty, x1) -> c13(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1))) COUNT(empty, x1) -> c13(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c13(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c13(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c13(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, s(0)) -> c14(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(0), s(s(0))), INC(s(0))) COUNT(x0, s(s(z0))) -> c14(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(s(z0)), s(s(inc(z0)))), INC(s(s(z0)))) COUNT(empty, s(x1)) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), s(x1), s(inc(x1))), INC(s(x1))) COUNT(empty, s(x1)) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(empty, s(x1)) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(empty, s(x1)) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(empty, s(x1)) -> c14(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), empty)), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), empty)), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), empty)), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x0, inc(x0)), INC(x0)) COUNT(empty, 0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), 0, s(0))) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), z1)), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), z1)), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x2, inc(x2)), INC(x2)) COUNT(node(x0, x1), 0) -> c14(IF(isEmpty(node(x0, x1)), isEmpty(left(node(x0, x1))), right(node(x0, x1)), node(left(left(node(x0, x1))), node(right(left(node(x0, x1))), x1)), 0, s(0))) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(empty, right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(empty), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(empty), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, 0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), 0, s(0))) COUNT(node(node(z0, z1), x1), x2) -> c14(IF(isEmpty(node(node(z0, z1), x1)), isEmpty(left(node(node(z0, z1), x1))), right(node(node(z0, z1), x1)), node(left(left(node(node(z0, z1), x1))), node(z1, right(node(node(z0, z1), x1)))), x2, inc(x2)), INC(x2)) COUNT(node(empty, x1), x2) -> c14(IF(isEmpty(node(empty, x1)), isEmpty(left(node(empty, x1))), right(node(empty, x1)), node(left(left(node(empty, x1))), node(empty, right(node(empty, x1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(z0), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(x0, x1), 0) -> c14(IF(isEmpty(node(x0, x1)), isEmpty(left(node(x0, x1))), right(node(x0, x1)), node(left(left(node(x0, x1))), node(right(x0), right(node(x0, x1)))), 0, s(0))) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(empty, node(right(left(empty)), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(empty), node(right(left(empty)), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, 0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), 0, s(0))) COUNT(node(node(z0, z1), x1), x2) -> c14(IF(isEmpty(node(node(z0, z1), x1)), isEmpty(left(node(node(z0, z1), x1))), right(node(node(z0, z1), x1)), node(z0, node(right(left(node(node(z0, z1), x1))), right(node(node(z0, z1), x1)))), x2, inc(x2)), INC(x2)) COUNT(node(empty, x1), x2) -> c14(IF(isEmpty(node(empty, x1)), isEmpty(left(node(empty, x1))), right(node(empty, x1)), node(empty, node(right(left(node(empty, x1))), right(node(empty, x1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(x0, x1), 0) -> c14(IF(isEmpty(node(x0, x1)), isEmpty(left(node(x0, x1))), right(node(x0, x1)), node(left(x0), node(right(left(node(x0, x1))), right(node(x0, x1)))), 0, s(0))) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(empty), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, 0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), 0, s(0))) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(z0), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(false, isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(x0, x1), 0) -> c14(IF(isEmpty(node(x0, x1)), isEmpty(left(node(x0, x1))), x1, node(left(left(node(x0, x1))), node(right(left(node(x0, x1))), right(node(x0, x1)))), 0, s(0))) COUNT(empty, x0) -> c14(IF(isEmpty(empty), true, right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, 0) -> c14(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), 0, s(0))) COUNT(node(node(z0, z1), x1), x2) -> c14(IF(isEmpty(node(node(z0, z1), x1)), false, right(node(node(z0, z1), x1)), node(left(left(node(node(z0, z1), x1))), node(right(left(node(node(z0, z1), x1))), right(node(node(z0, z1), x1)))), x2, inc(x2)), INC(x2)) COUNT(node(empty, x1), x2) -> c14(IF(isEmpty(node(empty, x1)), true, right(node(empty, x1)), node(left(left(node(empty, x1))), node(right(left(node(empty, x1))), right(node(empty, x1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(false, isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(x0, x1), 0) -> c14(IF(isEmpty(node(x0, x1)), isEmpty(x0), right(node(x0, x1)), node(left(left(node(x0, x1))), node(right(left(node(x0, x1))), right(node(x0, x1)))), 0, s(0))) K tuples: COUNT(empty, x1) -> c14(INC(x1)) COUNT(x0, s(x1)) -> c14(INC(s(x1))) COUNT(empty, s(x1)) -> c14(INC(s(x1))) Defined Rule Symbols: isEmpty_1, left_1, right_1, inc_1 Defined Pair Symbols: INC_1, IF_6, COUNT_2 Compound Symbols: c7_1, c16_1, c17_1, c14_2, c14_1, c8_1, c9_1, c10_1, c11_1, c12_1, c13_1 ---------------------------------------- (149) CdtNarrowingProof (BOTH BOUNDS(ID, ID)) Use narrowing to replace COUNT(node(z0, z1), x1) -> c14(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1)), INC(x1)) by COUNT(node(x0, x1), 0) -> c14(IF(false, isEmpty(left(node(x0, x1))), right(node(x0, x1)), node(left(left(node(x0, x1))), node(right(left(node(x0, x1))), right(node(x0, x1)))), 0, s(0)), INC(0)) COUNT(node(x0, x1), s(z0)) -> c14(IF(false, isEmpty(left(node(x0, x1))), right(node(x0, x1)), node(left(left(node(x0, x1))), node(right(left(node(x0, x1))), right(node(x0, x1)))), s(z0), s(inc(z0))), INC(s(z0))) COUNT(node(z0, z1), x2) -> c14(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(false, isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(false, isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) ---------------------------------------- (150) Obligation: Complexity Dependency Tuples Problem Rules: isEmpty(empty) -> true isEmpty(node(z0, z1)) -> false left(empty) -> empty left(node(z0, z1)) -> z0 right(empty) -> empty right(node(z0, z1)) -> z1 inc(0) -> s(0) inc(s(z0)) -> s(inc(z0)) Tuples: INC(s(z0)) -> c7(INC(z0)) IF(false, false, z0, z1, z2, z3) -> c16(COUNT(z1, z2)) IF(false, true, z0, z1, z2, z3) -> c17(COUNT(z0, z3)) COUNT(x0, 0) -> c14(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(empty, x1) -> c14(INC(x1)) COUNT(x0, 0) -> c8(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(x0, s(z0)) -> c8(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0)))) COUNT(empty, x1) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1))) COUNT(empty, x1) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c8(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c8(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, 0) -> c9(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(x0, s(z0)) -> c9(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0)))) COUNT(empty, x1) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1))) COUNT(empty, x1) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c9(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c9(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, 0) -> c10(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(x0, s(z0)) -> c10(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0)))) COUNT(empty, x1) -> c10(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1))) COUNT(empty, x1) -> c10(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c10(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c10(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c10(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, 0) -> c11(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(x0, s(z0)) -> c11(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0)))) COUNT(empty, x1) -> c11(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1))) COUNT(empty, x1) -> c11(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c11(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c11(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c11(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, 0) -> c12(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(x0, s(z0)) -> c12(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0)))) COUNT(empty, x1) -> c12(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1))) COUNT(empty, x1) -> c12(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c12(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c12(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c12(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, 0) -> c13(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(x0, s(z0)) -> c13(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0)))) COUNT(empty, x1) -> c13(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1))) COUNT(empty, x1) -> c13(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c13(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c13(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c13(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, s(0)) -> c14(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(0), s(s(0))), INC(s(0))) COUNT(x0, s(s(z0))) -> c14(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(s(z0)), s(s(inc(z0)))), INC(s(s(z0)))) COUNT(empty, s(x1)) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), s(x1), s(inc(x1))), INC(s(x1))) COUNT(empty, s(x1)) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(empty, s(x1)) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(empty, s(x1)) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(empty, s(x1)) -> c14(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(x0, s(x1)) -> c14(INC(s(x1))) COUNT(empty, s(x1)) -> c14(INC(s(x1))) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), empty)), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), empty)), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), empty)), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x0, inc(x0)), INC(x0)) COUNT(empty, 0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), 0, s(0))) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), z1)), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), z1)), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x2, inc(x2)), INC(x2)) COUNT(node(x0, x1), 0) -> c14(IF(isEmpty(node(x0, x1)), isEmpty(left(node(x0, x1))), right(node(x0, x1)), node(left(left(node(x0, x1))), node(right(left(node(x0, x1))), x1)), 0, s(0))) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(empty, right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(empty), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(empty), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, 0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), 0, s(0))) COUNT(node(node(z0, z1), x1), x2) -> c14(IF(isEmpty(node(node(z0, z1), x1)), isEmpty(left(node(node(z0, z1), x1))), right(node(node(z0, z1), x1)), node(left(left(node(node(z0, z1), x1))), node(z1, right(node(node(z0, z1), x1)))), x2, inc(x2)), INC(x2)) COUNT(node(empty, x1), x2) -> c14(IF(isEmpty(node(empty, x1)), isEmpty(left(node(empty, x1))), right(node(empty, x1)), node(left(left(node(empty, x1))), node(empty, right(node(empty, x1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(z0), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(x0, x1), 0) -> c14(IF(isEmpty(node(x0, x1)), isEmpty(left(node(x0, x1))), right(node(x0, x1)), node(left(left(node(x0, x1))), node(right(x0), right(node(x0, x1)))), 0, s(0))) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(empty, node(right(left(empty)), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(empty), node(right(left(empty)), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, 0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), 0, s(0))) COUNT(node(node(z0, z1), x1), x2) -> c14(IF(isEmpty(node(node(z0, z1), x1)), isEmpty(left(node(node(z0, z1), x1))), right(node(node(z0, z1), x1)), node(z0, node(right(left(node(node(z0, z1), x1))), right(node(node(z0, z1), x1)))), x2, inc(x2)), INC(x2)) COUNT(node(empty, x1), x2) -> c14(IF(isEmpty(node(empty, x1)), isEmpty(left(node(empty, x1))), right(node(empty, x1)), node(empty, node(right(left(node(empty, x1))), right(node(empty, x1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(x0, x1), 0) -> c14(IF(isEmpty(node(x0, x1)), isEmpty(left(node(x0, x1))), right(node(x0, x1)), node(left(x0), node(right(left(node(x0, x1))), right(node(x0, x1)))), 0, s(0))) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(empty), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, 0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), 0, s(0))) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(z0), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(false, isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(x0, x1), 0) -> c14(IF(isEmpty(node(x0, x1)), isEmpty(left(node(x0, x1))), x1, node(left(left(node(x0, x1))), node(right(left(node(x0, x1))), right(node(x0, x1)))), 0, s(0))) COUNT(empty, x0) -> c14(IF(isEmpty(empty), true, right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, 0) -> c14(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), 0, s(0))) COUNT(node(node(z0, z1), x1), x2) -> c14(IF(isEmpty(node(node(z0, z1), x1)), false, right(node(node(z0, z1), x1)), node(left(left(node(node(z0, z1), x1))), node(right(left(node(node(z0, z1), x1))), right(node(node(z0, z1), x1)))), x2, inc(x2)), INC(x2)) COUNT(node(empty, x1), x2) -> c14(IF(isEmpty(node(empty, x1)), true, right(node(empty, x1)), node(left(left(node(empty, x1))), node(right(left(node(empty, x1))), right(node(empty, x1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(false, isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(x0, x1), 0) -> c14(IF(isEmpty(node(x0, x1)), isEmpty(x0), right(node(x0, x1)), node(left(left(node(x0, x1))), node(right(left(node(x0, x1))), right(node(x0, x1)))), 0, s(0))) COUNT(node(x0, x1), 0) -> c14(IF(false, isEmpty(left(node(x0, x1))), right(node(x0, x1)), node(left(left(node(x0, x1))), node(right(left(node(x0, x1))), right(node(x0, x1)))), 0, s(0)), INC(0)) S tuples: INC(s(z0)) -> c7(INC(z0)) IF(false, false, z0, z1, z2, z3) -> c16(COUNT(z1, z2)) IF(false, true, z0, z1, z2, z3) -> c17(COUNT(z0, z3)) COUNT(x0, 0) -> c14(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(x0, 0) -> c8(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(x0, s(z0)) -> c8(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0)))) COUNT(empty, x1) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1))) COUNT(empty, x1) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c8(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c8(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, 0) -> c9(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(x0, s(z0)) -> c9(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0)))) COUNT(empty, x1) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1))) COUNT(empty, x1) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c9(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c9(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, 0) -> c10(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(x0, s(z0)) -> c10(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0)))) COUNT(empty, x1) -> c10(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1))) COUNT(empty, x1) -> c10(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c10(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c10(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c10(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, 0) -> c11(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(x0, s(z0)) -> c11(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0)))) COUNT(empty, x1) -> c11(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1))) COUNT(empty, x1) -> c11(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c11(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c11(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c11(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, 0) -> c12(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(x0, s(z0)) -> c12(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0)))) COUNT(empty, x1) -> c12(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1))) COUNT(empty, x1) -> c12(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c12(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c12(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c12(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, 0) -> c13(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(x0, s(z0)) -> c13(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0)))) COUNT(empty, x1) -> c13(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1))) COUNT(empty, x1) -> c13(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c13(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c13(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c13(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, s(0)) -> c14(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(0), s(s(0))), INC(s(0))) COUNT(x0, s(s(z0))) -> c14(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(s(z0)), s(s(inc(z0)))), INC(s(s(z0)))) COUNT(empty, s(x1)) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), s(x1), s(inc(x1))), INC(s(x1))) COUNT(empty, s(x1)) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(empty, s(x1)) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(empty, s(x1)) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(empty, s(x1)) -> c14(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), empty)), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), empty)), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), empty)), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x0, inc(x0)), INC(x0)) COUNT(empty, 0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), 0, s(0))) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), z1)), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), z1)), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x2, inc(x2)), INC(x2)) COUNT(node(x0, x1), 0) -> c14(IF(isEmpty(node(x0, x1)), isEmpty(left(node(x0, x1))), right(node(x0, x1)), node(left(left(node(x0, x1))), node(right(left(node(x0, x1))), x1)), 0, s(0))) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(empty, right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(empty), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(empty), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, 0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), 0, s(0))) COUNT(node(node(z0, z1), x1), x2) -> c14(IF(isEmpty(node(node(z0, z1), x1)), isEmpty(left(node(node(z0, z1), x1))), right(node(node(z0, z1), x1)), node(left(left(node(node(z0, z1), x1))), node(z1, right(node(node(z0, z1), x1)))), x2, inc(x2)), INC(x2)) COUNT(node(empty, x1), x2) -> c14(IF(isEmpty(node(empty, x1)), isEmpty(left(node(empty, x1))), right(node(empty, x1)), node(left(left(node(empty, x1))), node(empty, right(node(empty, x1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(z0), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(x0, x1), 0) -> c14(IF(isEmpty(node(x0, x1)), isEmpty(left(node(x0, x1))), right(node(x0, x1)), node(left(left(node(x0, x1))), node(right(x0), right(node(x0, x1)))), 0, s(0))) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(empty, node(right(left(empty)), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(empty), node(right(left(empty)), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, 0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), 0, s(0))) COUNT(node(node(z0, z1), x1), x2) -> c14(IF(isEmpty(node(node(z0, z1), x1)), isEmpty(left(node(node(z0, z1), x1))), right(node(node(z0, z1), x1)), node(z0, node(right(left(node(node(z0, z1), x1))), right(node(node(z0, z1), x1)))), x2, inc(x2)), INC(x2)) COUNT(node(empty, x1), x2) -> c14(IF(isEmpty(node(empty, x1)), isEmpty(left(node(empty, x1))), right(node(empty, x1)), node(empty, node(right(left(node(empty, x1))), right(node(empty, x1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(x0, x1), 0) -> c14(IF(isEmpty(node(x0, x1)), isEmpty(left(node(x0, x1))), right(node(x0, x1)), node(left(x0), node(right(left(node(x0, x1))), right(node(x0, x1)))), 0, s(0))) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(empty), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, 0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), 0, s(0))) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(z0), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(false, isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(x0, x1), 0) -> c14(IF(isEmpty(node(x0, x1)), isEmpty(left(node(x0, x1))), x1, node(left(left(node(x0, x1))), node(right(left(node(x0, x1))), right(node(x0, x1)))), 0, s(0))) COUNT(empty, x0) -> c14(IF(isEmpty(empty), true, right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, 0) -> c14(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), 0, s(0))) COUNT(node(node(z0, z1), x1), x2) -> c14(IF(isEmpty(node(node(z0, z1), x1)), false, right(node(node(z0, z1), x1)), node(left(left(node(node(z0, z1), x1))), node(right(left(node(node(z0, z1), x1))), right(node(node(z0, z1), x1)))), x2, inc(x2)), INC(x2)) COUNT(node(empty, x1), x2) -> c14(IF(isEmpty(node(empty, x1)), true, right(node(empty, x1)), node(left(left(node(empty, x1))), node(right(left(node(empty, x1))), right(node(empty, x1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(false, isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(x0, x1), 0) -> c14(IF(isEmpty(node(x0, x1)), isEmpty(x0), right(node(x0, x1)), node(left(left(node(x0, x1))), node(right(left(node(x0, x1))), right(node(x0, x1)))), 0, s(0))) COUNT(node(x0, x1), 0) -> c14(IF(false, isEmpty(left(node(x0, x1))), right(node(x0, x1)), node(left(left(node(x0, x1))), node(right(left(node(x0, x1))), right(node(x0, x1)))), 0, s(0)), INC(0)) K tuples: COUNT(empty, x1) -> c14(INC(x1)) COUNT(x0, s(x1)) -> c14(INC(s(x1))) COUNT(empty, s(x1)) -> c14(INC(s(x1))) Defined Rule Symbols: isEmpty_1, left_1, right_1, inc_1 Defined Pair Symbols: INC_1, IF_6, COUNT_2 Compound Symbols: c7_1, c16_1, c17_1, c14_1, c8_1, c9_1, c10_1, c11_1, c12_1, c13_1, c14_2 ---------------------------------------- (151) CdtRhsSimplificationProcessorProof (BOTH BOUNDS(ID, ID)) Removed 1 trailing tuple parts ---------------------------------------- (152) Obligation: Complexity Dependency Tuples Problem Rules: isEmpty(empty) -> true isEmpty(node(z0, z1)) -> false left(empty) -> empty left(node(z0, z1)) -> z0 right(empty) -> empty right(node(z0, z1)) -> z1 inc(0) -> s(0) inc(s(z0)) -> s(inc(z0)) Tuples: INC(s(z0)) -> c7(INC(z0)) IF(false, false, z0, z1, z2, z3) -> c16(COUNT(z1, z2)) IF(false, true, z0, z1, z2, z3) -> c17(COUNT(z0, z3)) COUNT(x0, 0) -> c14(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(empty, x1) -> c14(INC(x1)) COUNT(x0, 0) -> c8(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(x0, s(z0)) -> c8(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0)))) COUNT(empty, x1) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1))) COUNT(empty, x1) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c8(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c8(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, 0) -> c9(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(x0, s(z0)) -> c9(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0)))) COUNT(empty, x1) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1))) COUNT(empty, x1) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c9(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c9(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, 0) -> c10(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(x0, s(z0)) -> c10(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0)))) COUNT(empty, x1) -> c10(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1))) COUNT(empty, x1) -> c10(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c10(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c10(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c10(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, 0) -> c11(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(x0, s(z0)) -> c11(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0)))) COUNT(empty, x1) -> c11(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1))) COUNT(empty, x1) -> c11(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c11(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c11(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c11(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, 0) -> c12(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(x0, s(z0)) -> c12(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0)))) COUNT(empty, x1) -> c12(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1))) COUNT(empty, x1) -> c12(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c12(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c12(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c12(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, 0) -> c13(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(x0, s(z0)) -> c13(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0)))) COUNT(empty, x1) -> c13(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1))) COUNT(empty, x1) -> c13(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c13(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c13(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c13(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, s(0)) -> c14(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(0), s(s(0))), INC(s(0))) COUNT(x0, s(s(z0))) -> c14(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(s(z0)), s(s(inc(z0)))), INC(s(s(z0)))) COUNT(empty, s(x1)) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), s(x1), s(inc(x1))), INC(s(x1))) COUNT(empty, s(x1)) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(empty, s(x1)) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(empty, s(x1)) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(empty, s(x1)) -> c14(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(x0, s(x1)) -> c14(INC(s(x1))) COUNT(empty, s(x1)) -> c14(INC(s(x1))) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), empty)), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), empty)), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), empty)), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x0, inc(x0)), INC(x0)) COUNT(empty, 0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), 0, s(0))) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), z1)), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), z1)), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x2, inc(x2)), INC(x2)) COUNT(node(x0, x1), 0) -> c14(IF(isEmpty(node(x0, x1)), isEmpty(left(node(x0, x1))), right(node(x0, x1)), node(left(left(node(x0, x1))), node(right(left(node(x0, x1))), x1)), 0, s(0))) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(empty, right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(empty), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(empty), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, 0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), 0, s(0))) COUNT(node(node(z0, z1), x1), x2) -> c14(IF(isEmpty(node(node(z0, z1), x1)), isEmpty(left(node(node(z0, z1), x1))), right(node(node(z0, z1), x1)), node(left(left(node(node(z0, z1), x1))), node(z1, right(node(node(z0, z1), x1)))), x2, inc(x2)), INC(x2)) COUNT(node(empty, x1), x2) -> c14(IF(isEmpty(node(empty, x1)), isEmpty(left(node(empty, x1))), right(node(empty, x1)), node(left(left(node(empty, x1))), node(empty, right(node(empty, x1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(z0), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(x0, x1), 0) -> c14(IF(isEmpty(node(x0, x1)), isEmpty(left(node(x0, x1))), right(node(x0, x1)), node(left(left(node(x0, x1))), node(right(x0), right(node(x0, x1)))), 0, s(0))) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(empty, node(right(left(empty)), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(empty), node(right(left(empty)), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, 0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), 0, s(0))) COUNT(node(node(z0, z1), x1), x2) -> c14(IF(isEmpty(node(node(z0, z1), x1)), isEmpty(left(node(node(z0, z1), x1))), right(node(node(z0, z1), x1)), node(z0, node(right(left(node(node(z0, z1), x1))), right(node(node(z0, z1), x1)))), x2, inc(x2)), INC(x2)) COUNT(node(empty, x1), x2) -> c14(IF(isEmpty(node(empty, x1)), isEmpty(left(node(empty, x1))), right(node(empty, x1)), node(empty, node(right(left(node(empty, x1))), right(node(empty, x1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(x0, x1), 0) -> c14(IF(isEmpty(node(x0, x1)), isEmpty(left(node(x0, x1))), right(node(x0, x1)), node(left(x0), node(right(left(node(x0, x1))), right(node(x0, x1)))), 0, s(0))) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(empty), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, 0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), 0, s(0))) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(z0), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(false, isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(x0, x1), 0) -> c14(IF(isEmpty(node(x0, x1)), isEmpty(left(node(x0, x1))), x1, node(left(left(node(x0, x1))), node(right(left(node(x0, x1))), right(node(x0, x1)))), 0, s(0))) COUNT(empty, x0) -> c14(IF(isEmpty(empty), true, right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, 0) -> c14(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), 0, s(0))) COUNT(node(node(z0, z1), x1), x2) -> c14(IF(isEmpty(node(node(z0, z1), x1)), false, right(node(node(z0, z1), x1)), node(left(left(node(node(z0, z1), x1))), node(right(left(node(node(z0, z1), x1))), right(node(node(z0, z1), x1)))), x2, inc(x2)), INC(x2)) COUNT(node(empty, x1), x2) -> c14(IF(isEmpty(node(empty, x1)), true, right(node(empty, x1)), node(left(left(node(empty, x1))), node(right(left(node(empty, x1))), right(node(empty, x1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(false, isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(x0, x1), 0) -> c14(IF(isEmpty(node(x0, x1)), isEmpty(x0), right(node(x0, x1)), node(left(left(node(x0, x1))), node(right(left(node(x0, x1))), right(node(x0, x1)))), 0, s(0))) COUNT(node(x0, x1), 0) -> c14(IF(false, isEmpty(left(node(x0, x1))), right(node(x0, x1)), node(left(left(node(x0, x1))), node(right(left(node(x0, x1))), right(node(x0, x1)))), 0, s(0))) S tuples: INC(s(z0)) -> c7(INC(z0)) IF(false, false, z0, z1, z2, z3) -> c16(COUNT(z1, z2)) IF(false, true, z0, z1, z2, z3) -> c17(COUNT(z0, z3)) COUNT(x0, 0) -> c14(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(x0, 0) -> c8(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(x0, s(z0)) -> c8(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0)))) COUNT(empty, x1) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1))) COUNT(empty, x1) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c8(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c8(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, 0) -> c9(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(x0, s(z0)) -> c9(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0)))) COUNT(empty, x1) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1))) COUNT(empty, x1) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c9(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c9(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, 0) -> c10(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(x0, s(z0)) -> c10(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0)))) COUNT(empty, x1) -> c10(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1))) COUNT(empty, x1) -> c10(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c10(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c10(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c10(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, 0) -> c11(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(x0, s(z0)) -> c11(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0)))) COUNT(empty, x1) -> c11(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1))) COUNT(empty, x1) -> c11(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c11(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c11(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c11(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, 0) -> c12(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(x0, s(z0)) -> c12(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0)))) COUNT(empty, x1) -> c12(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1))) COUNT(empty, x1) -> c12(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c12(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c12(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c12(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, 0) -> c13(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(x0, s(z0)) -> c13(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0)))) COUNT(empty, x1) -> c13(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1))) COUNT(empty, x1) -> c13(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c13(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c13(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c13(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, s(0)) -> c14(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(0), s(s(0))), INC(s(0))) COUNT(x0, s(s(z0))) -> c14(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(s(z0)), s(s(inc(z0)))), INC(s(s(z0)))) COUNT(empty, s(x1)) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), s(x1), s(inc(x1))), INC(s(x1))) COUNT(empty, s(x1)) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(empty, s(x1)) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(empty, s(x1)) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(empty, s(x1)) -> c14(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), empty)), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), empty)), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), empty)), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x0, inc(x0)), INC(x0)) COUNT(empty, 0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), 0, s(0))) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), z1)), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), z1)), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x2, inc(x2)), INC(x2)) COUNT(node(x0, x1), 0) -> c14(IF(isEmpty(node(x0, x1)), isEmpty(left(node(x0, x1))), right(node(x0, x1)), node(left(left(node(x0, x1))), node(right(left(node(x0, x1))), x1)), 0, s(0))) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(empty, right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(empty), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(empty), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, 0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), 0, s(0))) COUNT(node(node(z0, z1), x1), x2) -> c14(IF(isEmpty(node(node(z0, z1), x1)), isEmpty(left(node(node(z0, z1), x1))), right(node(node(z0, z1), x1)), node(left(left(node(node(z0, z1), x1))), node(z1, right(node(node(z0, z1), x1)))), x2, inc(x2)), INC(x2)) COUNT(node(empty, x1), x2) -> c14(IF(isEmpty(node(empty, x1)), isEmpty(left(node(empty, x1))), right(node(empty, x1)), node(left(left(node(empty, x1))), node(empty, right(node(empty, x1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(z0), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(x0, x1), 0) -> c14(IF(isEmpty(node(x0, x1)), isEmpty(left(node(x0, x1))), right(node(x0, x1)), node(left(left(node(x0, x1))), node(right(x0), right(node(x0, x1)))), 0, s(0))) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(empty, node(right(left(empty)), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(empty), node(right(left(empty)), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, 0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), 0, s(0))) COUNT(node(node(z0, z1), x1), x2) -> c14(IF(isEmpty(node(node(z0, z1), x1)), isEmpty(left(node(node(z0, z1), x1))), right(node(node(z0, z1), x1)), node(z0, node(right(left(node(node(z0, z1), x1))), right(node(node(z0, z1), x1)))), x2, inc(x2)), INC(x2)) COUNT(node(empty, x1), x2) -> c14(IF(isEmpty(node(empty, x1)), isEmpty(left(node(empty, x1))), right(node(empty, x1)), node(empty, node(right(left(node(empty, x1))), right(node(empty, x1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(x0, x1), 0) -> c14(IF(isEmpty(node(x0, x1)), isEmpty(left(node(x0, x1))), right(node(x0, x1)), node(left(x0), node(right(left(node(x0, x1))), right(node(x0, x1)))), 0, s(0))) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(empty), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, 0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), 0, s(0))) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(z0), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(false, isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(x0, x1), 0) -> c14(IF(isEmpty(node(x0, x1)), isEmpty(left(node(x0, x1))), x1, node(left(left(node(x0, x1))), node(right(left(node(x0, x1))), right(node(x0, x1)))), 0, s(0))) COUNT(empty, x0) -> c14(IF(isEmpty(empty), true, right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, 0) -> c14(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), 0, s(0))) COUNT(node(node(z0, z1), x1), x2) -> c14(IF(isEmpty(node(node(z0, z1), x1)), false, right(node(node(z0, z1), x1)), node(left(left(node(node(z0, z1), x1))), node(right(left(node(node(z0, z1), x1))), right(node(node(z0, z1), x1)))), x2, inc(x2)), INC(x2)) COUNT(node(empty, x1), x2) -> c14(IF(isEmpty(node(empty, x1)), true, right(node(empty, x1)), node(left(left(node(empty, x1))), node(right(left(node(empty, x1))), right(node(empty, x1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(false, isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(x0, x1), 0) -> c14(IF(isEmpty(node(x0, x1)), isEmpty(x0), right(node(x0, x1)), node(left(left(node(x0, x1))), node(right(left(node(x0, x1))), right(node(x0, x1)))), 0, s(0))) COUNT(node(x0, x1), 0) -> c14(IF(false, isEmpty(left(node(x0, x1))), right(node(x0, x1)), node(left(left(node(x0, x1))), node(right(left(node(x0, x1))), right(node(x0, x1)))), 0, s(0))) K tuples: COUNT(empty, x1) -> c14(INC(x1)) COUNT(x0, s(x1)) -> c14(INC(s(x1))) COUNT(empty, s(x1)) -> c14(INC(s(x1))) Defined Rule Symbols: isEmpty_1, left_1, right_1, inc_1 Defined Pair Symbols: INC_1, IF_6, COUNT_2 Compound Symbols: c7_1, c16_1, c17_1, c14_1, c8_1, c9_1, c10_1, c11_1, c12_1, c13_1, c14_2 ---------------------------------------- (153) CdtNarrowingProof (BOTH BOUNDS(ID, ID)) Use narrowing to replace COUNT(x0, 0) -> c14(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) by COUNT(empty, 0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), 0, s(0))) COUNT(node(z0, z1), 0) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), 0, s(0))) COUNT(empty, 0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), 0, s(0))) COUNT(node(z0, z1), 0) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), 0, s(0))) COUNT(empty, 0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), 0, s(0))) COUNT(node(z0, z1), 0) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), 0, s(0))) COUNT(empty, 0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), 0, s(0))) COUNT(node(z0, z1), 0) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), 0, s(0))) COUNT(empty, 0) -> c14(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), 0, s(0))) COUNT(node(z0, z1), 0) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), 0, s(0))) COUNT(empty, 0) -> c14(IF(true, isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), 0, s(0))) COUNT(node(z0, z1), 0) -> c14(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), 0, s(0))) ---------------------------------------- (154) Obligation: Complexity Dependency Tuples Problem Rules: isEmpty(empty) -> true isEmpty(node(z0, z1)) -> false left(empty) -> empty left(node(z0, z1)) -> z0 right(empty) -> empty right(node(z0, z1)) -> z1 inc(0) -> s(0) inc(s(z0)) -> s(inc(z0)) Tuples: INC(s(z0)) -> c7(INC(z0)) IF(false, false, z0, z1, z2, z3) -> c16(COUNT(z1, z2)) IF(false, true, z0, z1, z2, z3) -> c17(COUNT(z0, z3)) COUNT(empty, x1) -> c14(INC(x1)) COUNT(x0, 0) -> c8(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(x0, s(z0)) -> c8(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0)))) COUNT(empty, x1) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1))) COUNT(empty, x1) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c8(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c8(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, 0) -> c9(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(x0, s(z0)) -> c9(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0)))) COUNT(empty, x1) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1))) COUNT(empty, x1) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c9(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c9(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, 0) -> c10(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(x0, s(z0)) -> c10(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0)))) COUNT(empty, x1) -> c10(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1))) COUNT(empty, x1) -> c10(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c10(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c10(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c10(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, 0) -> c11(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(x0, s(z0)) -> c11(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0)))) COUNT(empty, x1) -> c11(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1))) COUNT(empty, x1) -> c11(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c11(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c11(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c11(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, 0) -> c12(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(x0, s(z0)) -> c12(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0)))) COUNT(empty, x1) -> c12(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1))) COUNT(empty, x1) -> c12(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c12(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c12(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c12(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, 0) -> c13(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(x0, s(z0)) -> c13(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0)))) COUNT(empty, x1) -> c13(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1))) COUNT(empty, x1) -> c13(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c13(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c13(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c13(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, s(0)) -> c14(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(0), s(s(0))), INC(s(0))) COUNT(x0, s(s(z0))) -> c14(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(s(z0)), s(s(inc(z0)))), INC(s(s(z0)))) COUNT(empty, s(x1)) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), s(x1), s(inc(x1))), INC(s(x1))) COUNT(empty, s(x1)) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(empty, s(x1)) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(empty, s(x1)) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(empty, s(x1)) -> c14(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(x0, s(x1)) -> c14(INC(s(x1))) COUNT(empty, s(x1)) -> c14(INC(s(x1))) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), empty)), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), empty)), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), empty)), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x0, inc(x0)), INC(x0)) COUNT(empty, 0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), 0, s(0))) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), z1)), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), z1)), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x2, inc(x2)), INC(x2)) COUNT(node(x0, x1), 0) -> c14(IF(isEmpty(node(x0, x1)), isEmpty(left(node(x0, x1))), right(node(x0, x1)), node(left(left(node(x0, x1))), node(right(left(node(x0, x1))), x1)), 0, s(0))) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(empty, right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(empty), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(empty), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, 0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), 0, s(0))) COUNT(node(node(z0, z1), x1), x2) -> c14(IF(isEmpty(node(node(z0, z1), x1)), isEmpty(left(node(node(z0, z1), x1))), right(node(node(z0, z1), x1)), node(left(left(node(node(z0, z1), x1))), node(z1, right(node(node(z0, z1), x1)))), x2, inc(x2)), INC(x2)) COUNT(node(empty, x1), x2) -> c14(IF(isEmpty(node(empty, x1)), isEmpty(left(node(empty, x1))), right(node(empty, x1)), node(left(left(node(empty, x1))), node(empty, right(node(empty, x1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(z0), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(x0, x1), 0) -> c14(IF(isEmpty(node(x0, x1)), isEmpty(left(node(x0, x1))), right(node(x0, x1)), node(left(left(node(x0, x1))), node(right(x0), right(node(x0, x1)))), 0, s(0))) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(empty, node(right(left(empty)), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(empty), node(right(left(empty)), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, 0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), 0, s(0))) COUNT(node(node(z0, z1), x1), x2) -> c14(IF(isEmpty(node(node(z0, z1), x1)), isEmpty(left(node(node(z0, z1), x1))), right(node(node(z0, z1), x1)), node(z0, node(right(left(node(node(z0, z1), x1))), right(node(node(z0, z1), x1)))), x2, inc(x2)), INC(x2)) COUNT(node(empty, x1), x2) -> c14(IF(isEmpty(node(empty, x1)), isEmpty(left(node(empty, x1))), right(node(empty, x1)), node(empty, node(right(left(node(empty, x1))), right(node(empty, x1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(x0, x1), 0) -> c14(IF(isEmpty(node(x0, x1)), isEmpty(left(node(x0, x1))), right(node(x0, x1)), node(left(x0), node(right(left(node(x0, x1))), right(node(x0, x1)))), 0, s(0))) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(empty), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, 0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), 0, s(0))) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(z0), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(false, isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(x0, x1), 0) -> c14(IF(isEmpty(node(x0, x1)), isEmpty(left(node(x0, x1))), x1, node(left(left(node(x0, x1))), node(right(left(node(x0, x1))), right(node(x0, x1)))), 0, s(0))) COUNT(empty, x0) -> c14(IF(isEmpty(empty), true, right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, 0) -> c14(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), 0, s(0))) COUNT(node(node(z0, z1), x1), x2) -> c14(IF(isEmpty(node(node(z0, z1), x1)), false, right(node(node(z0, z1), x1)), node(left(left(node(node(z0, z1), x1))), node(right(left(node(node(z0, z1), x1))), right(node(node(z0, z1), x1)))), x2, inc(x2)), INC(x2)) COUNT(node(empty, x1), x2) -> c14(IF(isEmpty(node(empty, x1)), true, right(node(empty, x1)), node(left(left(node(empty, x1))), node(right(left(node(empty, x1))), right(node(empty, x1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(false, isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(x0, x1), 0) -> c14(IF(isEmpty(node(x0, x1)), isEmpty(x0), right(node(x0, x1)), node(left(left(node(x0, x1))), node(right(left(node(x0, x1))), right(node(x0, x1)))), 0, s(0))) COUNT(node(x0, x1), 0) -> c14(IF(false, isEmpty(left(node(x0, x1))), right(node(x0, x1)), node(left(left(node(x0, x1))), node(right(left(node(x0, x1))), right(node(x0, x1)))), 0, s(0))) COUNT(empty, 0) -> c14(IF(true, isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), 0, s(0))) S tuples: INC(s(z0)) -> c7(INC(z0)) IF(false, false, z0, z1, z2, z3) -> c16(COUNT(z1, z2)) IF(false, true, z0, z1, z2, z3) -> c17(COUNT(z0, z3)) COUNT(x0, 0) -> c8(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(x0, s(z0)) -> c8(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0)))) COUNT(empty, x1) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1))) COUNT(empty, x1) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c8(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c8(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, 0) -> c9(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(x0, s(z0)) -> c9(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0)))) COUNT(empty, x1) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1))) COUNT(empty, x1) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c9(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c9(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, 0) -> c10(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(x0, s(z0)) -> c10(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0)))) COUNT(empty, x1) -> c10(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1))) COUNT(empty, x1) -> c10(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c10(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c10(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c10(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, 0) -> c11(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(x0, s(z0)) -> c11(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0)))) COUNT(empty, x1) -> c11(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1))) COUNT(empty, x1) -> c11(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c11(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c11(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c11(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, 0) -> c12(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(x0, s(z0)) -> c12(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0)))) COUNT(empty, x1) -> c12(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1))) COUNT(empty, x1) -> c12(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c12(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c12(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c12(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, 0) -> c13(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(x0, s(z0)) -> c13(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0)))) COUNT(empty, x1) -> c13(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1))) COUNT(empty, x1) -> c13(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c13(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c13(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c13(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, s(0)) -> c14(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(0), s(s(0))), INC(s(0))) COUNT(x0, s(s(z0))) -> c14(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(s(z0)), s(s(inc(z0)))), INC(s(s(z0)))) COUNT(empty, s(x1)) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), s(x1), s(inc(x1))), INC(s(x1))) COUNT(empty, s(x1)) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(empty, s(x1)) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(empty, s(x1)) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(empty, s(x1)) -> c14(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), empty)), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), empty)), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), empty)), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x0, inc(x0)), INC(x0)) COUNT(empty, 0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), 0, s(0))) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), z1)), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), z1)), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x2, inc(x2)), INC(x2)) COUNT(node(x0, x1), 0) -> c14(IF(isEmpty(node(x0, x1)), isEmpty(left(node(x0, x1))), right(node(x0, x1)), node(left(left(node(x0, x1))), node(right(left(node(x0, x1))), x1)), 0, s(0))) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(empty, right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(empty), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(empty), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, 0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), 0, s(0))) COUNT(node(node(z0, z1), x1), x2) -> c14(IF(isEmpty(node(node(z0, z1), x1)), isEmpty(left(node(node(z0, z1), x1))), right(node(node(z0, z1), x1)), node(left(left(node(node(z0, z1), x1))), node(z1, right(node(node(z0, z1), x1)))), x2, inc(x2)), INC(x2)) COUNT(node(empty, x1), x2) -> c14(IF(isEmpty(node(empty, x1)), isEmpty(left(node(empty, x1))), right(node(empty, x1)), node(left(left(node(empty, x1))), node(empty, right(node(empty, x1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(z0), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(x0, x1), 0) -> c14(IF(isEmpty(node(x0, x1)), isEmpty(left(node(x0, x1))), right(node(x0, x1)), node(left(left(node(x0, x1))), node(right(x0), right(node(x0, x1)))), 0, s(0))) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(empty, node(right(left(empty)), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(empty), node(right(left(empty)), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, 0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), 0, s(0))) COUNT(node(node(z0, z1), x1), x2) -> c14(IF(isEmpty(node(node(z0, z1), x1)), isEmpty(left(node(node(z0, z1), x1))), right(node(node(z0, z1), x1)), node(z0, node(right(left(node(node(z0, z1), x1))), right(node(node(z0, z1), x1)))), x2, inc(x2)), INC(x2)) COUNT(node(empty, x1), x2) -> c14(IF(isEmpty(node(empty, x1)), isEmpty(left(node(empty, x1))), right(node(empty, x1)), node(empty, node(right(left(node(empty, x1))), right(node(empty, x1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(x0, x1), 0) -> c14(IF(isEmpty(node(x0, x1)), isEmpty(left(node(x0, x1))), right(node(x0, x1)), node(left(x0), node(right(left(node(x0, x1))), right(node(x0, x1)))), 0, s(0))) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(empty), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, 0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), 0, s(0))) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(z0), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(false, isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(x0, x1), 0) -> c14(IF(isEmpty(node(x0, x1)), isEmpty(left(node(x0, x1))), x1, node(left(left(node(x0, x1))), node(right(left(node(x0, x1))), right(node(x0, x1)))), 0, s(0))) COUNT(empty, x0) -> c14(IF(isEmpty(empty), true, right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, 0) -> c14(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), 0, s(0))) COUNT(node(node(z0, z1), x1), x2) -> c14(IF(isEmpty(node(node(z0, z1), x1)), false, right(node(node(z0, z1), x1)), node(left(left(node(node(z0, z1), x1))), node(right(left(node(node(z0, z1), x1))), right(node(node(z0, z1), x1)))), x2, inc(x2)), INC(x2)) COUNT(node(empty, x1), x2) -> c14(IF(isEmpty(node(empty, x1)), true, right(node(empty, x1)), node(left(left(node(empty, x1))), node(right(left(node(empty, x1))), right(node(empty, x1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(false, isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(x0, x1), 0) -> c14(IF(isEmpty(node(x0, x1)), isEmpty(x0), right(node(x0, x1)), node(left(left(node(x0, x1))), node(right(left(node(x0, x1))), right(node(x0, x1)))), 0, s(0))) COUNT(node(x0, x1), 0) -> c14(IF(false, isEmpty(left(node(x0, x1))), right(node(x0, x1)), node(left(left(node(x0, x1))), node(right(left(node(x0, x1))), right(node(x0, x1)))), 0, s(0))) COUNT(empty, 0) -> c14(IF(true, isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), 0, s(0))) K tuples: COUNT(empty, x1) -> c14(INC(x1)) COUNT(x0, s(x1)) -> c14(INC(s(x1))) COUNT(empty, s(x1)) -> c14(INC(s(x1))) Defined Rule Symbols: isEmpty_1, left_1, right_1, inc_1 Defined Pair Symbols: INC_1, IF_6, COUNT_2 Compound Symbols: c7_1, c16_1, c17_1, c14_1, c8_1, c9_1, c10_1, c11_1, c12_1, c13_1, c14_2 ---------------------------------------- (155) CdtLeafRemovalProof (BOTH BOUNDS(ID, ID)) Removed 1 trailing nodes: COUNT(empty, 0) -> c14(IF(true, isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), 0, s(0))) ---------------------------------------- (156) Obligation: Complexity Dependency Tuples Problem Rules: isEmpty(empty) -> true isEmpty(node(z0, z1)) -> false left(empty) -> empty left(node(z0, z1)) -> z0 right(empty) -> empty right(node(z0, z1)) -> z1 inc(0) -> s(0) inc(s(z0)) -> s(inc(z0)) Tuples: INC(s(z0)) -> c7(INC(z0)) IF(false, false, z0, z1, z2, z3) -> c16(COUNT(z1, z2)) IF(false, true, z0, z1, z2, z3) -> c17(COUNT(z0, z3)) COUNT(empty, x1) -> c14(INC(x1)) COUNT(x0, 0) -> c8(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(x0, s(z0)) -> c8(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0)))) COUNT(empty, x1) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1))) COUNT(empty, x1) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c8(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c8(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, 0) -> c9(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(x0, s(z0)) -> c9(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0)))) COUNT(empty, x1) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1))) COUNT(empty, x1) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c9(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c9(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, 0) -> c10(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(x0, s(z0)) -> c10(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0)))) COUNT(empty, x1) -> c10(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1))) COUNT(empty, x1) -> c10(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c10(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c10(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c10(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, 0) -> c11(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(x0, s(z0)) -> c11(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0)))) COUNT(empty, x1) -> c11(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1))) COUNT(empty, x1) -> c11(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c11(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c11(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c11(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, 0) -> c12(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(x0, s(z0)) -> c12(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0)))) COUNT(empty, x1) -> c12(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1))) COUNT(empty, x1) -> c12(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c12(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c12(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c12(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, 0) -> c13(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(x0, s(z0)) -> c13(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0)))) COUNT(empty, x1) -> c13(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1))) COUNT(empty, x1) -> c13(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c13(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c13(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c13(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, s(0)) -> c14(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(0), s(s(0))), INC(s(0))) COUNT(x0, s(s(z0))) -> c14(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(s(z0)), s(s(inc(z0)))), INC(s(s(z0)))) COUNT(empty, s(x1)) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), s(x1), s(inc(x1))), INC(s(x1))) COUNT(empty, s(x1)) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(empty, s(x1)) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(empty, s(x1)) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(empty, s(x1)) -> c14(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(x0, s(x1)) -> c14(INC(s(x1))) COUNT(empty, s(x1)) -> c14(INC(s(x1))) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), empty)), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), empty)), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), empty)), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x0, inc(x0)), INC(x0)) COUNT(empty, 0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), 0, s(0))) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), z1)), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), z1)), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x2, inc(x2)), INC(x2)) COUNT(node(x0, x1), 0) -> c14(IF(isEmpty(node(x0, x1)), isEmpty(left(node(x0, x1))), right(node(x0, x1)), node(left(left(node(x0, x1))), node(right(left(node(x0, x1))), x1)), 0, s(0))) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(empty, right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(empty), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(empty), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, 0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), 0, s(0))) COUNT(node(node(z0, z1), x1), x2) -> c14(IF(isEmpty(node(node(z0, z1), x1)), isEmpty(left(node(node(z0, z1), x1))), right(node(node(z0, z1), x1)), node(left(left(node(node(z0, z1), x1))), node(z1, right(node(node(z0, z1), x1)))), x2, inc(x2)), INC(x2)) COUNT(node(empty, x1), x2) -> c14(IF(isEmpty(node(empty, x1)), isEmpty(left(node(empty, x1))), right(node(empty, x1)), node(left(left(node(empty, x1))), node(empty, right(node(empty, x1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(z0), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(x0, x1), 0) -> c14(IF(isEmpty(node(x0, x1)), isEmpty(left(node(x0, x1))), right(node(x0, x1)), node(left(left(node(x0, x1))), node(right(x0), right(node(x0, x1)))), 0, s(0))) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(empty, node(right(left(empty)), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(empty), node(right(left(empty)), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, 0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), 0, s(0))) COUNT(node(node(z0, z1), x1), x2) -> c14(IF(isEmpty(node(node(z0, z1), x1)), isEmpty(left(node(node(z0, z1), x1))), right(node(node(z0, z1), x1)), node(z0, node(right(left(node(node(z0, z1), x1))), right(node(node(z0, z1), x1)))), x2, inc(x2)), INC(x2)) COUNT(node(empty, x1), x2) -> c14(IF(isEmpty(node(empty, x1)), isEmpty(left(node(empty, x1))), right(node(empty, x1)), node(empty, node(right(left(node(empty, x1))), right(node(empty, x1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(x0, x1), 0) -> c14(IF(isEmpty(node(x0, x1)), isEmpty(left(node(x0, x1))), right(node(x0, x1)), node(left(x0), node(right(left(node(x0, x1))), right(node(x0, x1)))), 0, s(0))) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(empty), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, 0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), 0, s(0))) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(z0), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(false, isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(x0, x1), 0) -> c14(IF(isEmpty(node(x0, x1)), isEmpty(left(node(x0, x1))), x1, node(left(left(node(x0, x1))), node(right(left(node(x0, x1))), right(node(x0, x1)))), 0, s(0))) COUNT(empty, x0) -> c14(IF(isEmpty(empty), true, right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, 0) -> c14(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), 0, s(0))) COUNT(node(node(z0, z1), x1), x2) -> c14(IF(isEmpty(node(node(z0, z1), x1)), false, right(node(node(z0, z1), x1)), node(left(left(node(node(z0, z1), x1))), node(right(left(node(node(z0, z1), x1))), right(node(node(z0, z1), x1)))), x2, inc(x2)), INC(x2)) COUNT(node(empty, x1), x2) -> c14(IF(isEmpty(node(empty, x1)), true, right(node(empty, x1)), node(left(left(node(empty, x1))), node(right(left(node(empty, x1))), right(node(empty, x1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(false, isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(x0, x1), 0) -> c14(IF(isEmpty(node(x0, x1)), isEmpty(x0), right(node(x0, x1)), node(left(left(node(x0, x1))), node(right(left(node(x0, x1))), right(node(x0, x1)))), 0, s(0))) COUNT(node(x0, x1), 0) -> c14(IF(false, isEmpty(left(node(x0, x1))), right(node(x0, x1)), node(left(left(node(x0, x1))), node(right(left(node(x0, x1))), right(node(x0, x1)))), 0, s(0))) S tuples: INC(s(z0)) -> c7(INC(z0)) IF(false, false, z0, z1, z2, z3) -> c16(COUNT(z1, z2)) IF(false, true, z0, z1, z2, z3) -> c17(COUNT(z0, z3)) COUNT(x0, 0) -> c8(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(x0, s(z0)) -> c8(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0)))) COUNT(empty, x1) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1))) COUNT(empty, x1) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c8(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c8(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, 0) -> c9(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(x0, s(z0)) -> c9(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0)))) COUNT(empty, x1) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1))) COUNT(empty, x1) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c9(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c9(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, 0) -> c10(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(x0, s(z0)) -> c10(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0)))) COUNT(empty, x1) -> c10(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1))) COUNT(empty, x1) -> c10(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c10(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c10(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c10(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, 0) -> c11(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(x0, s(z0)) -> c11(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0)))) COUNT(empty, x1) -> c11(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1))) COUNT(empty, x1) -> c11(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c11(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c11(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c11(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, 0) -> c12(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(x0, s(z0)) -> c12(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0)))) COUNT(empty, x1) -> c12(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1))) COUNT(empty, x1) -> c12(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c12(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c12(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c12(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, 0) -> c13(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(x0, s(z0)) -> c13(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0)))) COUNT(empty, x1) -> c13(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1))) COUNT(empty, x1) -> c13(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c13(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c13(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c13(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, s(0)) -> c14(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(0), s(s(0))), INC(s(0))) COUNT(x0, s(s(z0))) -> c14(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(s(z0)), s(s(inc(z0)))), INC(s(s(z0)))) COUNT(empty, s(x1)) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), s(x1), s(inc(x1))), INC(s(x1))) COUNT(empty, s(x1)) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(empty, s(x1)) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(empty, s(x1)) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(empty, s(x1)) -> c14(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), empty)), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), empty)), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), empty)), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x0, inc(x0)), INC(x0)) COUNT(empty, 0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), 0, s(0))) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), z1)), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), z1)), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x2, inc(x2)), INC(x2)) COUNT(node(x0, x1), 0) -> c14(IF(isEmpty(node(x0, x1)), isEmpty(left(node(x0, x1))), right(node(x0, x1)), node(left(left(node(x0, x1))), node(right(left(node(x0, x1))), x1)), 0, s(0))) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(empty, right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(empty), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(empty), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, 0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), 0, s(0))) COUNT(node(node(z0, z1), x1), x2) -> c14(IF(isEmpty(node(node(z0, z1), x1)), isEmpty(left(node(node(z0, z1), x1))), right(node(node(z0, z1), x1)), node(left(left(node(node(z0, z1), x1))), node(z1, right(node(node(z0, z1), x1)))), x2, inc(x2)), INC(x2)) COUNT(node(empty, x1), x2) -> c14(IF(isEmpty(node(empty, x1)), isEmpty(left(node(empty, x1))), right(node(empty, x1)), node(left(left(node(empty, x1))), node(empty, right(node(empty, x1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(z0), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(x0, x1), 0) -> c14(IF(isEmpty(node(x0, x1)), isEmpty(left(node(x0, x1))), right(node(x0, x1)), node(left(left(node(x0, x1))), node(right(x0), right(node(x0, x1)))), 0, s(0))) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(empty, node(right(left(empty)), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(empty), node(right(left(empty)), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, 0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), 0, s(0))) COUNT(node(node(z0, z1), x1), x2) -> c14(IF(isEmpty(node(node(z0, z1), x1)), isEmpty(left(node(node(z0, z1), x1))), right(node(node(z0, z1), x1)), node(z0, node(right(left(node(node(z0, z1), x1))), right(node(node(z0, z1), x1)))), x2, inc(x2)), INC(x2)) COUNT(node(empty, x1), x2) -> c14(IF(isEmpty(node(empty, x1)), isEmpty(left(node(empty, x1))), right(node(empty, x1)), node(empty, node(right(left(node(empty, x1))), right(node(empty, x1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(x0, x1), 0) -> c14(IF(isEmpty(node(x0, x1)), isEmpty(left(node(x0, x1))), right(node(x0, x1)), node(left(x0), node(right(left(node(x0, x1))), right(node(x0, x1)))), 0, s(0))) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(empty), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, 0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), 0, s(0))) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(z0), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(false, isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(x0, x1), 0) -> c14(IF(isEmpty(node(x0, x1)), isEmpty(left(node(x0, x1))), x1, node(left(left(node(x0, x1))), node(right(left(node(x0, x1))), right(node(x0, x1)))), 0, s(0))) COUNT(empty, x0) -> c14(IF(isEmpty(empty), true, right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, 0) -> c14(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), 0, s(0))) COUNT(node(node(z0, z1), x1), x2) -> c14(IF(isEmpty(node(node(z0, z1), x1)), false, right(node(node(z0, z1), x1)), node(left(left(node(node(z0, z1), x1))), node(right(left(node(node(z0, z1), x1))), right(node(node(z0, z1), x1)))), x2, inc(x2)), INC(x2)) COUNT(node(empty, x1), x2) -> c14(IF(isEmpty(node(empty, x1)), true, right(node(empty, x1)), node(left(left(node(empty, x1))), node(right(left(node(empty, x1))), right(node(empty, x1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(false, isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(x0, x1), 0) -> c14(IF(isEmpty(node(x0, x1)), isEmpty(x0), right(node(x0, x1)), node(left(left(node(x0, x1))), node(right(left(node(x0, x1))), right(node(x0, x1)))), 0, s(0))) COUNT(node(x0, x1), 0) -> c14(IF(false, isEmpty(left(node(x0, x1))), right(node(x0, x1)), node(left(left(node(x0, x1))), node(right(left(node(x0, x1))), right(node(x0, x1)))), 0, s(0))) K tuples: COUNT(empty, x1) -> c14(INC(x1)) COUNT(x0, s(x1)) -> c14(INC(s(x1))) COUNT(empty, s(x1)) -> c14(INC(s(x1))) Defined Rule Symbols: isEmpty_1, left_1, right_1, inc_1 Defined Pair Symbols: INC_1, IF_6, COUNT_2 Compound Symbols: c7_1, c16_1, c17_1, c14_1, c8_1, c9_1, c10_1, c11_1, c12_1, c13_1, c14_2 ---------------------------------------- (157) CdtNarrowingProof (BOTH BOUNDS(ID, ID)) Use narrowing to replace COUNT(x0, 0) -> c8(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) by COUNT(empty, 0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), 0, s(0))) COUNT(node(z0, z1), 0) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), 0, s(0))) COUNT(empty, 0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), 0, s(0))) COUNT(node(z0, z1), 0) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), 0, s(0))) COUNT(empty, 0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), 0, s(0))) COUNT(node(z0, z1), 0) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), 0, s(0))) COUNT(empty, 0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), 0, s(0))) COUNT(node(z0, z1), 0) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), 0, s(0))) COUNT(empty, 0) -> c8(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), 0, s(0))) COUNT(node(z0, z1), 0) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), 0, s(0))) COUNT(empty, 0) -> c8(IF(true, isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), 0, s(0))) COUNT(node(z0, z1), 0) -> c8(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), 0, s(0))) ---------------------------------------- (158) Obligation: Complexity Dependency Tuples Problem Rules: isEmpty(empty) -> true isEmpty(node(z0, z1)) -> false left(empty) -> empty left(node(z0, z1)) -> z0 right(empty) -> empty right(node(z0, z1)) -> z1 inc(0) -> s(0) inc(s(z0)) -> s(inc(z0)) Tuples: INC(s(z0)) -> c7(INC(z0)) IF(false, false, z0, z1, z2, z3) -> c16(COUNT(z1, z2)) IF(false, true, z0, z1, z2, z3) -> c17(COUNT(z0, z3)) COUNT(empty, x1) -> c14(INC(x1)) COUNT(x0, s(z0)) -> c8(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0)))) COUNT(empty, x1) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1))) COUNT(empty, x1) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c8(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c8(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, 0) -> c9(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(x0, s(z0)) -> c9(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0)))) COUNT(empty, x1) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1))) COUNT(empty, x1) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c9(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c9(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, 0) -> c10(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(x0, s(z0)) -> c10(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0)))) COUNT(empty, x1) -> c10(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1))) COUNT(empty, x1) -> c10(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c10(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c10(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c10(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, 0) -> c11(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(x0, s(z0)) -> c11(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0)))) COUNT(empty, x1) -> c11(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1))) COUNT(empty, x1) -> c11(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c11(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c11(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c11(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, 0) -> c12(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(x0, s(z0)) -> c12(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0)))) COUNT(empty, x1) -> c12(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1))) COUNT(empty, x1) -> c12(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c12(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c12(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c12(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, 0) -> c13(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(x0, s(z0)) -> c13(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0)))) COUNT(empty, x1) -> c13(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1))) COUNT(empty, x1) -> c13(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c13(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c13(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c13(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, s(0)) -> c14(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(0), s(s(0))), INC(s(0))) COUNT(x0, s(s(z0))) -> c14(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(s(z0)), s(s(inc(z0)))), INC(s(s(z0)))) COUNT(empty, s(x1)) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), s(x1), s(inc(x1))), INC(s(x1))) COUNT(empty, s(x1)) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(empty, s(x1)) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(empty, s(x1)) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(empty, s(x1)) -> c14(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(x0, s(x1)) -> c14(INC(s(x1))) COUNT(empty, s(x1)) -> c14(INC(s(x1))) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), empty)), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), empty)), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), empty)), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x0, inc(x0)), INC(x0)) COUNT(empty, 0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), 0, s(0))) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), z1)), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), z1)), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x2, inc(x2)), INC(x2)) COUNT(node(x0, x1), 0) -> c14(IF(isEmpty(node(x0, x1)), isEmpty(left(node(x0, x1))), right(node(x0, x1)), node(left(left(node(x0, x1))), node(right(left(node(x0, x1))), x1)), 0, s(0))) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(empty, right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(empty), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(empty), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, 0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), 0, s(0))) COUNT(node(node(z0, z1), x1), x2) -> c14(IF(isEmpty(node(node(z0, z1), x1)), isEmpty(left(node(node(z0, z1), x1))), right(node(node(z0, z1), x1)), node(left(left(node(node(z0, z1), x1))), node(z1, right(node(node(z0, z1), x1)))), x2, inc(x2)), INC(x2)) COUNT(node(empty, x1), x2) -> c14(IF(isEmpty(node(empty, x1)), isEmpty(left(node(empty, x1))), right(node(empty, x1)), node(left(left(node(empty, x1))), node(empty, right(node(empty, x1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(z0), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(x0, x1), 0) -> c14(IF(isEmpty(node(x0, x1)), isEmpty(left(node(x0, x1))), right(node(x0, x1)), node(left(left(node(x0, x1))), node(right(x0), right(node(x0, x1)))), 0, s(0))) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(empty, node(right(left(empty)), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(empty), node(right(left(empty)), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, 0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), 0, s(0))) COUNT(node(node(z0, z1), x1), x2) -> c14(IF(isEmpty(node(node(z0, z1), x1)), isEmpty(left(node(node(z0, z1), x1))), right(node(node(z0, z1), x1)), node(z0, node(right(left(node(node(z0, z1), x1))), right(node(node(z0, z1), x1)))), x2, inc(x2)), INC(x2)) COUNT(node(empty, x1), x2) -> c14(IF(isEmpty(node(empty, x1)), isEmpty(left(node(empty, x1))), right(node(empty, x1)), node(empty, node(right(left(node(empty, x1))), right(node(empty, x1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(x0, x1), 0) -> c14(IF(isEmpty(node(x0, x1)), isEmpty(left(node(x0, x1))), right(node(x0, x1)), node(left(x0), node(right(left(node(x0, x1))), right(node(x0, x1)))), 0, s(0))) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(empty), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, 0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), 0, s(0))) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(z0), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(false, isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(x0, x1), 0) -> c14(IF(isEmpty(node(x0, x1)), isEmpty(left(node(x0, x1))), x1, node(left(left(node(x0, x1))), node(right(left(node(x0, x1))), right(node(x0, x1)))), 0, s(0))) COUNT(empty, x0) -> c14(IF(isEmpty(empty), true, right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, 0) -> c14(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), 0, s(0))) COUNT(node(node(z0, z1), x1), x2) -> c14(IF(isEmpty(node(node(z0, z1), x1)), false, right(node(node(z0, z1), x1)), node(left(left(node(node(z0, z1), x1))), node(right(left(node(node(z0, z1), x1))), right(node(node(z0, z1), x1)))), x2, inc(x2)), INC(x2)) COUNT(node(empty, x1), x2) -> c14(IF(isEmpty(node(empty, x1)), true, right(node(empty, x1)), node(left(left(node(empty, x1))), node(right(left(node(empty, x1))), right(node(empty, x1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(false, isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(x0, x1), 0) -> c14(IF(isEmpty(node(x0, x1)), isEmpty(x0), right(node(x0, x1)), node(left(left(node(x0, x1))), node(right(left(node(x0, x1))), right(node(x0, x1)))), 0, s(0))) COUNT(node(x0, x1), 0) -> c14(IF(false, isEmpty(left(node(x0, x1))), right(node(x0, x1)), node(left(left(node(x0, x1))), node(right(left(node(x0, x1))), right(node(x0, x1)))), 0, s(0))) COUNT(empty, 0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), 0, s(0))) COUNT(node(z0, z1), 0) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), 0, s(0))) COUNT(empty, 0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), 0, s(0))) COUNT(node(z0, z1), 0) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), 0, s(0))) COUNT(empty, 0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), 0, s(0))) COUNT(node(z0, z1), 0) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), 0, s(0))) COUNT(empty, 0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), 0, s(0))) COUNT(node(z0, z1), 0) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), 0, s(0))) COUNT(empty, 0) -> c8(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), 0, s(0))) COUNT(node(z0, z1), 0) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), 0, s(0))) COUNT(empty, 0) -> c8(IF(true, isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), 0, s(0))) COUNT(node(z0, z1), 0) -> c8(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), 0, s(0))) S tuples: INC(s(z0)) -> c7(INC(z0)) IF(false, false, z0, z1, z2, z3) -> c16(COUNT(z1, z2)) IF(false, true, z0, z1, z2, z3) -> c17(COUNT(z0, z3)) COUNT(x0, s(z0)) -> c8(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0)))) COUNT(empty, x1) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1))) COUNT(empty, x1) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c8(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c8(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, 0) -> c9(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(x0, s(z0)) -> c9(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0)))) COUNT(empty, x1) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1))) COUNT(empty, x1) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c9(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c9(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, 0) -> c10(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(x0, s(z0)) -> c10(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0)))) COUNT(empty, x1) -> c10(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1))) COUNT(empty, x1) -> c10(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c10(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c10(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c10(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, 0) -> c11(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(x0, s(z0)) -> c11(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0)))) COUNT(empty, x1) -> c11(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1))) COUNT(empty, x1) -> c11(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c11(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c11(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c11(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, 0) -> c12(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(x0, s(z0)) -> c12(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0)))) COUNT(empty, x1) -> c12(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1))) COUNT(empty, x1) -> c12(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c12(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c12(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c12(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, 0) -> c13(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(x0, s(z0)) -> c13(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0)))) COUNT(empty, x1) -> c13(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1))) COUNT(empty, x1) -> c13(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c13(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c13(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c13(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, s(0)) -> c14(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(0), s(s(0))), INC(s(0))) COUNT(x0, s(s(z0))) -> c14(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(s(z0)), s(s(inc(z0)))), INC(s(s(z0)))) COUNT(empty, s(x1)) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), s(x1), s(inc(x1))), INC(s(x1))) COUNT(empty, s(x1)) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(empty, s(x1)) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(empty, s(x1)) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(empty, s(x1)) -> c14(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), empty)), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), empty)), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), empty)), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x0, inc(x0)), INC(x0)) COUNT(empty, 0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), 0, s(0))) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), z1)), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), z1)), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x2, inc(x2)), INC(x2)) COUNT(node(x0, x1), 0) -> c14(IF(isEmpty(node(x0, x1)), isEmpty(left(node(x0, x1))), right(node(x0, x1)), node(left(left(node(x0, x1))), node(right(left(node(x0, x1))), x1)), 0, s(0))) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(empty, right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(empty), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(empty), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, 0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), 0, s(0))) COUNT(node(node(z0, z1), x1), x2) -> c14(IF(isEmpty(node(node(z0, z1), x1)), isEmpty(left(node(node(z0, z1), x1))), right(node(node(z0, z1), x1)), node(left(left(node(node(z0, z1), x1))), node(z1, right(node(node(z0, z1), x1)))), x2, inc(x2)), INC(x2)) COUNT(node(empty, x1), x2) -> c14(IF(isEmpty(node(empty, x1)), isEmpty(left(node(empty, x1))), right(node(empty, x1)), node(left(left(node(empty, x1))), node(empty, right(node(empty, x1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(z0), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(x0, x1), 0) -> c14(IF(isEmpty(node(x0, x1)), isEmpty(left(node(x0, x1))), right(node(x0, x1)), node(left(left(node(x0, x1))), node(right(x0), right(node(x0, x1)))), 0, s(0))) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(empty, node(right(left(empty)), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(empty), node(right(left(empty)), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, 0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), 0, s(0))) COUNT(node(node(z0, z1), x1), x2) -> c14(IF(isEmpty(node(node(z0, z1), x1)), isEmpty(left(node(node(z0, z1), x1))), right(node(node(z0, z1), x1)), node(z0, node(right(left(node(node(z0, z1), x1))), right(node(node(z0, z1), x1)))), x2, inc(x2)), INC(x2)) COUNT(node(empty, x1), x2) -> c14(IF(isEmpty(node(empty, x1)), isEmpty(left(node(empty, x1))), right(node(empty, x1)), node(empty, node(right(left(node(empty, x1))), right(node(empty, x1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(x0, x1), 0) -> c14(IF(isEmpty(node(x0, x1)), isEmpty(left(node(x0, x1))), right(node(x0, x1)), node(left(x0), node(right(left(node(x0, x1))), right(node(x0, x1)))), 0, s(0))) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(empty), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, 0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), 0, s(0))) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(z0), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(false, isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(x0, x1), 0) -> c14(IF(isEmpty(node(x0, x1)), isEmpty(left(node(x0, x1))), x1, node(left(left(node(x0, x1))), node(right(left(node(x0, x1))), right(node(x0, x1)))), 0, s(0))) COUNT(empty, x0) -> c14(IF(isEmpty(empty), true, right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, 0) -> c14(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), 0, s(0))) COUNT(node(node(z0, z1), x1), x2) -> c14(IF(isEmpty(node(node(z0, z1), x1)), false, right(node(node(z0, z1), x1)), node(left(left(node(node(z0, z1), x1))), node(right(left(node(node(z0, z1), x1))), right(node(node(z0, z1), x1)))), x2, inc(x2)), INC(x2)) COUNT(node(empty, x1), x2) -> c14(IF(isEmpty(node(empty, x1)), true, right(node(empty, x1)), node(left(left(node(empty, x1))), node(right(left(node(empty, x1))), right(node(empty, x1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(false, isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(x0, x1), 0) -> c14(IF(isEmpty(node(x0, x1)), isEmpty(x0), right(node(x0, x1)), node(left(left(node(x0, x1))), node(right(left(node(x0, x1))), right(node(x0, x1)))), 0, s(0))) COUNT(node(x0, x1), 0) -> c14(IF(false, isEmpty(left(node(x0, x1))), right(node(x0, x1)), node(left(left(node(x0, x1))), node(right(left(node(x0, x1))), right(node(x0, x1)))), 0, s(0))) COUNT(empty, 0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), 0, s(0))) COUNT(node(z0, z1), 0) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), 0, s(0))) COUNT(empty, 0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), 0, s(0))) COUNT(node(z0, z1), 0) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), 0, s(0))) COUNT(empty, 0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), 0, s(0))) COUNT(node(z0, z1), 0) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), 0, s(0))) COUNT(empty, 0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), 0, s(0))) COUNT(node(z0, z1), 0) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), 0, s(0))) COUNT(empty, 0) -> c8(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), 0, s(0))) COUNT(node(z0, z1), 0) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), 0, s(0))) COUNT(empty, 0) -> c8(IF(true, isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), 0, s(0))) COUNT(node(z0, z1), 0) -> c8(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), 0, s(0))) K tuples: COUNT(empty, x1) -> c14(INC(x1)) COUNT(x0, s(x1)) -> c14(INC(s(x1))) COUNT(empty, s(x1)) -> c14(INC(s(x1))) Defined Rule Symbols: isEmpty_1, left_1, right_1, inc_1 Defined Pair Symbols: INC_1, IF_6, COUNT_2 Compound Symbols: c7_1, c16_1, c17_1, c14_1, c8_1, c9_1, c10_1, c11_1, c12_1, c13_1, c14_2 ---------------------------------------- (159) CdtLeafRemovalProof (BOTH BOUNDS(ID, ID)) Removed 1 trailing nodes: COUNT(empty, 0) -> c8(IF(true, isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), 0, s(0))) ---------------------------------------- (160) Obligation: Complexity Dependency Tuples Problem Rules: isEmpty(empty) -> true isEmpty(node(z0, z1)) -> false left(empty) -> empty left(node(z0, z1)) -> z0 right(empty) -> empty right(node(z0, z1)) -> z1 inc(0) -> s(0) inc(s(z0)) -> s(inc(z0)) Tuples: INC(s(z0)) -> c7(INC(z0)) IF(false, false, z0, z1, z2, z3) -> c16(COUNT(z1, z2)) IF(false, true, z0, z1, z2, z3) -> c17(COUNT(z0, z3)) COUNT(empty, x1) -> c14(INC(x1)) COUNT(x0, s(z0)) -> c8(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0)))) COUNT(empty, x1) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1))) COUNT(empty, x1) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c8(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c8(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, 0) -> c9(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(x0, s(z0)) -> c9(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0)))) COUNT(empty, x1) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1))) COUNT(empty, x1) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c9(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c9(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, 0) -> c10(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(x0, s(z0)) -> c10(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0)))) COUNT(empty, x1) -> c10(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1))) COUNT(empty, x1) -> c10(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c10(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c10(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c10(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, 0) -> c11(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(x0, s(z0)) -> c11(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0)))) COUNT(empty, x1) -> c11(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1))) COUNT(empty, x1) -> c11(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c11(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c11(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c11(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, 0) -> c12(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(x0, s(z0)) -> c12(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0)))) COUNT(empty, x1) -> c12(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1))) COUNT(empty, x1) -> c12(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c12(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c12(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c12(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, 0) -> c13(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(x0, s(z0)) -> c13(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0)))) COUNT(empty, x1) -> c13(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1))) COUNT(empty, x1) -> c13(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c13(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c13(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c13(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, s(0)) -> c14(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(0), s(s(0))), INC(s(0))) COUNT(x0, s(s(z0))) -> c14(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(s(z0)), s(s(inc(z0)))), INC(s(s(z0)))) COUNT(empty, s(x1)) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), s(x1), s(inc(x1))), INC(s(x1))) COUNT(empty, s(x1)) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(empty, s(x1)) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(empty, s(x1)) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(empty, s(x1)) -> c14(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(x0, s(x1)) -> c14(INC(s(x1))) COUNT(empty, s(x1)) -> c14(INC(s(x1))) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), empty)), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), empty)), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), empty)), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x0, inc(x0)), INC(x0)) COUNT(empty, 0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), 0, s(0))) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), z1)), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), z1)), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x2, inc(x2)), INC(x2)) COUNT(node(x0, x1), 0) -> c14(IF(isEmpty(node(x0, x1)), isEmpty(left(node(x0, x1))), right(node(x0, x1)), node(left(left(node(x0, x1))), node(right(left(node(x0, x1))), x1)), 0, s(0))) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(empty, right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(empty), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(empty), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, 0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), 0, s(0))) COUNT(node(node(z0, z1), x1), x2) -> c14(IF(isEmpty(node(node(z0, z1), x1)), isEmpty(left(node(node(z0, z1), x1))), right(node(node(z0, z1), x1)), node(left(left(node(node(z0, z1), x1))), node(z1, right(node(node(z0, z1), x1)))), x2, inc(x2)), INC(x2)) COUNT(node(empty, x1), x2) -> c14(IF(isEmpty(node(empty, x1)), isEmpty(left(node(empty, x1))), right(node(empty, x1)), node(left(left(node(empty, x1))), node(empty, right(node(empty, x1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(z0), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(x0, x1), 0) -> c14(IF(isEmpty(node(x0, x1)), isEmpty(left(node(x0, x1))), right(node(x0, x1)), node(left(left(node(x0, x1))), node(right(x0), right(node(x0, x1)))), 0, s(0))) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(empty, node(right(left(empty)), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(empty), node(right(left(empty)), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, 0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), 0, s(0))) COUNT(node(node(z0, z1), x1), x2) -> c14(IF(isEmpty(node(node(z0, z1), x1)), isEmpty(left(node(node(z0, z1), x1))), right(node(node(z0, z1), x1)), node(z0, node(right(left(node(node(z0, z1), x1))), right(node(node(z0, z1), x1)))), x2, inc(x2)), INC(x2)) COUNT(node(empty, x1), x2) -> c14(IF(isEmpty(node(empty, x1)), isEmpty(left(node(empty, x1))), right(node(empty, x1)), node(empty, node(right(left(node(empty, x1))), right(node(empty, x1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(x0, x1), 0) -> c14(IF(isEmpty(node(x0, x1)), isEmpty(left(node(x0, x1))), right(node(x0, x1)), node(left(x0), node(right(left(node(x0, x1))), right(node(x0, x1)))), 0, s(0))) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(empty), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, 0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), 0, s(0))) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(z0), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(false, isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(x0, x1), 0) -> c14(IF(isEmpty(node(x0, x1)), isEmpty(left(node(x0, x1))), x1, node(left(left(node(x0, x1))), node(right(left(node(x0, x1))), right(node(x0, x1)))), 0, s(0))) COUNT(empty, x0) -> c14(IF(isEmpty(empty), true, right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, 0) -> c14(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), 0, s(0))) COUNT(node(node(z0, z1), x1), x2) -> c14(IF(isEmpty(node(node(z0, z1), x1)), false, right(node(node(z0, z1), x1)), node(left(left(node(node(z0, z1), x1))), node(right(left(node(node(z0, z1), x1))), right(node(node(z0, z1), x1)))), x2, inc(x2)), INC(x2)) COUNT(node(empty, x1), x2) -> c14(IF(isEmpty(node(empty, x1)), true, right(node(empty, x1)), node(left(left(node(empty, x1))), node(right(left(node(empty, x1))), right(node(empty, x1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(false, isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(x0, x1), 0) -> c14(IF(isEmpty(node(x0, x1)), isEmpty(x0), right(node(x0, x1)), node(left(left(node(x0, x1))), node(right(left(node(x0, x1))), right(node(x0, x1)))), 0, s(0))) COUNT(node(x0, x1), 0) -> c14(IF(false, isEmpty(left(node(x0, x1))), right(node(x0, x1)), node(left(left(node(x0, x1))), node(right(left(node(x0, x1))), right(node(x0, x1)))), 0, s(0))) COUNT(empty, 0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), 0, s(0))) COUNT(node(z0, z1), 0) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), 0, s(0))) COUNT(empty, 0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), 0, s(0))) COUNT(node(z0, z1), 0) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), 0, s(0))) COUNT(empty, 0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), 0, s(0))) COUNT(node(z0, z1), 0) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), 0, s(0))) COUNT(empty, 0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), 0, s(0))) COUNT(node(z0, z1), 0) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), 0, s(0))) COUNT(empty, 0) -> c8(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), 0, s(0))) COUNT(node(z0, z1), 0) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), 0, s(0))) COUNT(node(z0, z1), 0) -> c8(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), 0, s(0))) S tuples: INC(s(z0)) -> c7(INC(z0)) IF(false, false, z0, z1, z2, z3) -> c16(COUNT(z1, z2)) IF(false, true, z0, z1, z2, z3) -> c17(COUNT(z0, z3)) COUNT(x0, s(z0)) -> c8(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0)))) COUNT(empty, x1) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1))) COUNT(empty, x1) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c8(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c8(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, 0) -> c9(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(x0, s(z0)) -> c9(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0)))) COUNT(empty, x1) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1))) COUNT(empty, x1) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c9(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c9(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, 0) -> c10(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(x0, s(z0)) -> c10(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0)))) COUNT(empty, x1) -> c10(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1))) COUNT(empty, x1) -> c10(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c10(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c10(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c10(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, 0) -> c11(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(x0, s(z0)) -> c11(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0)))) COUNT(empty, x1) -> c11(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1))) COUNT(empty, x1) -> c11(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c11(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c11(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c11(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, 0) -> c12(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(x0, s(z0)) -> c12(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0)))) COUNT(empty, x1) -> c12(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1))) COUNT(empty, x1) -> c12(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c12(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c12(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c12(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, 0) -> c13(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(x0, s(z0)) -> c13(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0)))) COUNT(empty, x1) -> c13(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1))) COUNT(empty, x1) -> c13(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c13(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c13(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c13(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, s(0)) -> c14(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(0), s(s(0))), INC(s(0))) COUNT(x0, s(s(z0))) -> c14(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(s(z0)), s(s(inc(z0)))), INC(s(s(z0)))) COUNT(empty, s(x1)) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), s(x1), s(inc(x1))), INC(s(x1))) COUNT(empty, s(x1)) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(empty, s(x1)) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(empty, s(x1)) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(empty, s(x1)) -> c14(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), empty)), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), empty)), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), empty)), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x0, inc(x0)), INC(x0)) COUNT(empty, 0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), 0, s(0))) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), z1)), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), z1)), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x2, inc(x2)), INC(x2)) COUNT(node(x0, x1), 0) -> c14(IF(isEmpty(node(x0, x1)), isEmpty(left(node(x0, x1))), right(node(x0, x1)), node(left(left(node(x0, x1))), node(right(left(node(x0, x1))), x1)), 0, s(0))) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(empty, right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(empty), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(empty), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, 0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), 0, s(0))) COUNT(node(node(z0, z1), x1), x2) -> c14(IF(isEmpty(node(node(z0, z1), x1)), isEmpty(left(node(node(z0, z1), x1))), right(node(node(z0, z1), x1)), node(left(left(node(node(z0, z1), x1))), node(z1, right(node(node(z0, z1), x1)))), x2, inc(x2)), INC(x2)) COUNT(node(empty, x1), x2) -> c14(IF(isEmpty(node(empty, x1)), isEmpty(left(node(empty, x1))), right(node(empty, x1)), node(left(left(node(empty, x1))), node(empty, right(node(empty, x1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(z0), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(x0, x1), 0) -> c14(IF(isEmpty(node(x0, x1)), isEmpty(left(node(x0, x1))), right(node(x0, x1)), node(left(left(node(x0, x1))), node(right(x0), right(node(x0, x1)))), 0, s(0))) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(empty, node(right(left(empty)), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(empty), node(right(left(empty)), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, 0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), 0, s(0))) COUNT(node(node(z0, z1), x1), x2) -> c14(IF(isEmpty(node(node(z0, z1), x1)), isEmpty(left(node(node(z0, z1), x1))), right(node(node(z0, z1), x1)), node(z0, node(right(left(node(node(z0, z1), x1))), right(node(node(z0, z1), x1)))), x2, inc(x2)), INC(x2)) COUNT(node(empty, x1), x2) -> c14(IF(isEmpty(node(empty, x1)), isEmpty(left(node(empty, x1))), right(node(empty, x1)), node(empty, node(right(left(node(empty, x1))), right(node(empty, x1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(x0, x1), 0) -> c14(IF(isEmpty(node(x0, x1)), isEmpty(left(node(x0, x1))), right(node(x0, x1)), node(left(x0), node(right(left(node(x0, x1))), right(node(x0, x1)))), 0, s(0))) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(empty), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, 0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), 0, s(0))) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(z0), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(false, isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(x0, x1), 0) -> c14(IF(isEmpty(node(x0, x1)), isEmpty(left(node(x0, x1))), x1, node(left(left(node(x0, x1))), node(right(left(node(x0, x1))), right(node(x0, x1)))), 0, s(0))) COUNT(empty, x0) -> c14(IF(isEmpty(empty), true, right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, 0) -> c14(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), 0, s(0))) COUNT(node(node(z0, z1), x1), x2) -> c14(IF(isEmpty(node(node(z0, z1), x1)), false, right(node(node(z0, z1), x1)), node(left(left(node(node(z0, z1), x1))), node(right(left(node(node(z0, z1), x1))), right(node(node(z0, z1), x1)))), x2, inc(x2)), INC(x2)) COUNT(node(empty, x1), x2) -> c14(IF(isEmpty(node(empty, x1)), true, right(node(empty, x1)), node(left(left(node(empty, x1))), node(right(left(node(empty, x1))), right(node(empty, x1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(false, isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(x0, x1), 0) -> c14(IF(isEmpty(node(x0, x1)), isEmpty(x0), right(node(x0, x1)), node(left(left(node(x0, x1))), node(right(left(node(x0, x1))), right(node(x0, x1)))), 0, s(0))) COUNT(node(x0, x1), 0) -> c14(IF(false, isEmpty(left(node(x0, x1))), right(node(x0, x1)), node(left(left(node(x0, x1))), node(right(left(node(x0, x1))), right(node(x0, x1)))), 0, s(0))) COUNT(empty, 0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), 0, s(0))) COUNT(node(z0, z1), 0) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), 0, s(0))) COUNT(empty, 0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), 0, s(0))) COUNT(node(z0, z1), 0) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), 0, s(0))) COUNT(empty, 0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), 0, s(0))) COUNT(node(z0, z1), 0) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), 0, s(0))) COUNT(empty, 0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), 0, s(0))) COUNT(node(z0, z1), 0) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), 0, s(0))) COUNT(empty, 0) -> c8(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), 0, s(0))) COUNT(node(z0, z1), 0) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), 0, s(0))) COUNT(node(z0, z1), 0) -> c8(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), 0, s(0))) K tuples: COUNT(empty, x1) -> c14(INC(x1)) COUNT(x0, s(x1)) -> c14(INC(s(x1))) COUNT(empty, s(x1)) -> c14(INC(s(x1))) Defined Rule Symbols: isEmpty_1, left_1, right_1, inc_1 Defined Pair Symbols: INC_1, IF_6, COUNT_2 Compound Symbols: c7_1, c16_1, c17_1, c14_1, c8_1, c9_1, c10_1, c11_1, c12_1, c13_1, c14_2 ---------------------------------------- (161) CdtNarrowingProof (BOTH BOUNDS(ID, ID)) Use narrowing to replace COUNT(x0, s(z0)) -> c8(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0)))) by COUNT(x0, s(0)) -> c8(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(0), s(s(0)))) COUNT(x0, s(s(z0))) -> c8(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(s(z0)), s(s(inc(z0))))) COUNT(empty, s(x1)) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), s(x1), s(inc(x1)))) COUNT(node(z0, z1), s(x1)) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), s(x1), s(inc(x1)))) COUNT(empty, s(x1)) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), s(x1), s(inc(x1)))) COUNT(node(z0, z1), s(x1)) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), s(x1), s(inc(x1)))) COUNT(empty, s(x1)) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), s(x1), s(inc(x1)))) COUNT(node(z0, z1), s(x1)) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1)))) COUNT(empty, s(x1)) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), s(x1), s(inc(x1)))) COUNT(node(z0, z1), s(x1)) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1)))) COUNT(empty, s(x1)) -> c8(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), s(x1), s(inc(x1)))) COUNT(node(z0, z1), s(x1)) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1)))) COUNT(empty, s(x1)) -> c8(IF(true, isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), s(x1), s(inc(x1)))) COUNT(node(z0, z1), s(x1)) -> c8(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1)))) ---------------------------------------- (162) Obligation: Complexity Dependency Tuples Problem Rules: isEmpty(empty) -> true isEmpty(node(z0, z1)) -> false left(empty) -> empty left(node(z0, z1)) -> z0 right(empty) -> empty right(node(z0, z1)) -> z1 inc(0) -> s(0) inc(s(z0)) -> s(inc(z0)) Tuples: INC(s(z0)) -> c7(INC(z0)) IF(false, false, z0, z1, z2, z3) -> c16(COUNT(z1, z2)) IF(false, true, z0, z1, z2, z3) -> c17(COUNT(z0, z3)) COUNT(empty, x1) -> c14(INC(x1)) COUNT(empty, x1) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1))) COUNT(empty, x1) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c8(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c8(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, 0) -> c9(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(x0, s(z0)) -> c9(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0)))) COUNT(empty, x1) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1))) COUNT(empty, x1) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c9(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c9(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, 0) -> c10(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(x0, s(z0)) -> c10(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0)))) COUNT(empty, x1) -> c10(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1))) COUNT(empty, x1) -> c10(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c10(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c10(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c10(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, 0) -> c11(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(x0, s(z0)) -> c11(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0)))) COUNT(empty, x1) -> c11(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1))) COUNT(empty, x1) -> c11(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c11(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c11(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c11(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, 0) -> c12(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(x0, s(z0)) -> c12(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0)))) COUNT(empty, x1) -> c12(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1))) COUNT(empty, x1) -> c12(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c12(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c12(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c12(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, 0) -> c13(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(x0, s(z0)) -> c13(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0)))) COUNT(empty, x1) -> c13(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1))) COUNT(empty, x1) -> c13(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c13(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c13(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c13(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, s(0)) -> c14(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(0), s(s(0))), INC(s(0))) COUNT(x0, s(s(z0))) -> c14(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(s(z0)), s(s(inc(z0)))), INC(s(s(z0)))) COUNT(empty, s(x1)) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), s(x1), s(inc(x1))), INC(s(x1))) COUNT(empty, s(x1)) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(empty, s(x1)) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(empty, s(x1)) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(empty, s(x1)) -> c14(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(x0, s(x1)) -> c14(INC(s(x1))) COUNT(empty, s(x1)) -> c14(INC(s(x1))) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), empty)), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), empty)), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), empty)), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x0, inc(x0)), INC(x0)) COUNT(empty, 0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), 0, s(0))) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), z1)), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), z1)), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x2, inc(x2)), INC(x2)) COUNT(node(x0, x1), 0) -> c14(IF(isEmpty(node(x0, x1)), isEmpty(left(node(x0, x1))), right(node(x0, x1)), node(left(left(node(x0, x1))), node(right(left(node(x0, x1))), x1)), 0, s(0))) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(empty, right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(empty), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(empty), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, 0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), 0, s(0))) COUNT(node(node(z0, z1), x1), x2) -> c14(IF(isEmpty(node(node(z0, z1), x1)), isEmpty(left(node(node(z0, z1), x1))), right(node(node(z0, z1), x1)), node(left(left(node(node(z0, z1), x1))), node(z1, right(node(node(z0, z1), x1)))), x2, inc(x2)), INC(x2)) COUNT(node(empty, x1), x2) -> c14(IF(isEmpty(node(empty, x1)), isEmpty(left(node(empty, x1))), right(node(empty, x1)), node(left(left(node(empty, x1))), node(empty, right(node(empty, x1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(z0), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(x0, x1), 0) -> c14(IF(isEmpty(node(x0, x1)), isEmpty(left(node(x0, x1))), right(node(x0, x1)), node(left(left(node(x0, x1))), node(right(x0), right(node(x0, x1)))), 0, s(0))) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(empty, node(right(left(empty)), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(empty), node(right(left(empty)), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, 0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), 0, s(0))) COUNT(node(node(z0, z1), x1), x2) -> c14(IF(isEmpty(node(node(z0, z1), x1)), isEmpty(left(node(node(z0, z1), x1))), right(node(node(z0, z1), x1)), node(z0, node(right(left(node(node(z0, z1), x1))), right(node(node(z0, z1), x1)))), x2, inc(x2)), INC(x2)) COUNT(node(empty, x1), x2) -> c14(IF(isEmpty(node(empty, x1)), isEmpty(left(node(empty, x1))), right(node(empty, x1)), node(empty, node(right(left(node(empty, x1))), right(node(empty, x1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(x0, x1), 0) -> c14(IF(isEmpty(node(x0, x1)), isEmpty(left(node(x0, x1))), right(node(x0, x1)), node(left(x0), node(right(left(node(x0, x1))), right(node(x0, x1)))), 0, s(0))) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(empty), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, 0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), 0, s(0))) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(z0), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(false, isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(x0, x1), 0) -> c14(IF(isEmpty(node(x0, x1)), isEmpty(left(node(x0, x1))), x1, node(left(left(node(x0, x1))), node(right(left(node(x0, x1))), right(node(x0, x1)))), 0, s(0))) COUNT(empty, x0) -> c14(IF(isEmpty(empty), true, right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, 0) -> c14(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), 0, s(0))) COUNT(node(node(z0, z1), x1), x2) -> c14(IF(isEmpty(node(node(z0, z1), x1)), false, right(node(node(z0, z1), x1)), node(left(left(node(node(z0, z1), x1))), node(right(left(node(node(z0, z1), x1))), right(node(node(z0, z1), x1)))), x2, inc(x2)), INC(x2)) COUNT(node(empty, x1), x2) -> c14(IF(isEmpty(node(empty, x1)), true, right(node(empty, x1)), node(left(left(node(empty, x1))), node(right(left(node(empty, x1))), right(node(empty, x1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(false, isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(x0, x1), 0) -> c14(IF(isEmpty(node(x0, x1)), isEmpty(x0), right(node(x0, x1)), node(left(left(node(x0, x1))), node(right(left(node(x0, x1))), right(node(x0, x1)))), 0, s(0))) COUNT(node(x0, x1), 0) -> c14(IF(false, isEmpty(left(node(x0, x1))), right(node(x0, x1)), node(left(left(node(x0, x1))), node(right(left(node(x0, x1))), right(node(x0, x1)))), 0, s(0))) COUNT(empty, 0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), 0, s(0))) COUNT(node(z0, z1), 0) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), 0, s(0))) COUNT(empty, 0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), 0, s(0))) COUNT(node(z0, z1), 0) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), 0, s(0))) COUNT(empty, 0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), 0, s(0))) COUNT(node(z0, z1), 0) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), 0, s(0))) COUNT(empty, 0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), 0, s(0))) COUNT(node(z0, z1), 0) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), 0, s(0))) COUNT(empty, 0) -> c8(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), 0, s(0))) COUNT(node(z0, z1), 0) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), 0, s(0))) COUNT(node(z0, z1), 0) -> c8(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), 0, s(0))) COUNT(x0, s(0)) -> c8(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(0), s(s(0)))) COUNT(x0, s(s(z0))) -> c8(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(s(z0)), s(s(inc(z0))))) COUNT(empty, s(x1)) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), s(x1), s(inc(x1)))) COUNT(node(z0, z1), s(x1)) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), s(x1), s(inc(x1)))) COUNT(empty, s(x1)) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), s(x1), s(inc(x1)))) COUNT(node(z0, z1), s(x1)) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), s(x1), s(inc(x1)))) COUNT(empty, s(x1)) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), s(x1), s(inc(x1)))) COUNT(node(z0, z1), s(x1)) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1)))) COUNT(empty, s(x1)) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), s(x1), s(inc(x1)))) COUNT(node(z0, z1), s(x1)) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1)))) COUNT(empty, s(x1)) -> c8(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), s(x1), s(inc(x1)))) COUNT(node(z0, z1), s(x1)) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1)))) COUNT(empty, s(x1)) -> c8(IF(true, isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), s(x1), s(inc(x1)))) COUNT(node(z0, z1), s(x1)) -> c8(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1)))) S tuples: INC(s(z0)) -> c7(INC(z0)) IF(false, false, z0, z1, z2, z3) -> c16(COUNT(z1, z2)) IF(false, true, z0, z1, z2, z3) -> c17(COUNT(z0, z3)) COUNT(empty, x1) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1))) COUNT(empty, x1) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c8(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c8(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, 0) -> c9(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(x0, s(z0)) -> c9(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0)))) COUNT(empty, x1) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1))) COUNT(empty, x1) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c9(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c9(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, 0) -> c10(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(x0, s(z0)) -> c10(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0)))) COUNT(empty, x1) -> c10(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1))) COUNT(empty, x1) -> c10(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c10(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c10(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c10(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, 0) -> c11(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(x0, s(z0)) -> c11(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0)))) COUNT(empty, x1) -> c11(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1))) COUNT(empty, x1) -> c11(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c11(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c11(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c11(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, 0) -> c12(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(x0, s(z0)) -> c12(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0)))) COUNT(empty, x1) -> c12(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1))) COUNT(empty, x1) -> c12(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c12(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c12(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c12(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, 0) -> c13(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(x0, s(z0)) -> c13(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0)))) COUNT(empty, x1) -> c13(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1))) COUNT(empty, x1) -> c13(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c13(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c13(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c13(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, s(0)) -> c14(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(0), s(s(0))), INC(s(0))) COUNT(x0, s(s(z0))) -> c14(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(s(z0)), s(s(inc(z0)))), INC(s(s(z0)))) COUNT(empty, s(x1)) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), s(x1), s(inc(x1))), INC(s(x1))) COUNT(empty, s(x1)) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(empty, s(x1)) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(empty, s(x1)) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(empty, s(x1)) -> c14(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), empty)), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), empty)), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), empty)), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x0, inc(x0)), INC(x0)) COUNT(empty, 0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), 0, s(0))) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), z1)), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), z1)), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x2, inc(x2)), INC(x2)) COUNT(node(x0, x1), 0) -> c14(IF(isEmpty(node(x0, x1)), isEmpty(left(node(x0, x1))), right(node(x0, x1)), node(left(left(node(x0, x1))), node(right(left(node(x0, x1))), x1)), 0, s(0))) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(empty, right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(empty), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(empty), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, 0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), 0, s(0))) COUNT(node(node(z0, z1), x1), x2) -> c14(IF(isEmpty(node(node(z0, z1), x1)), isEmpty(left(node(node(z0, z1), x1))), right(node(node(z0, z1), x1)), node(left(left(node(node(z0, z1), x1))), node(z1, right(node(node(z0, z1), x1)))), x2, inc(x2)), INC(x2)) COUNT(node(empty, x1), x2) -> c14(IF(isEmpty(node(empty, x1)), isEmpty(left(node(empty, x1))), right(node(empty, x1)), node(left(left(node(empty, x1))), node(empty, right(node(empty, x1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(z0), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(x0, x1), 0) -> c14(IF(isEmpty(node(x0, x1)), isEmpty(left(node(x0, x1))), right(node(x0, x1)), node(left(left(node(x0, x1))), node(right(x0), right(node(x0, x1)))), 0, s(0))) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(empty, node(right(left(empty)), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(empty), node(right(left(empty)), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, 0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), 0, s(0))) COUNT(node(node(z0, z1), x1), x2) -> c14(IF(isEmpty(node(node(z0, z1), x1)), isEmpty(left(node(node(z0, z1), x1))), right(node(node(z0, z1), x1)), node(z0, node(right(left(node(node(z0, z1), x1))), right(node(node(z0, z1), x1)))), x2, inc(x2)), INC(x2)) COUNT(node(empty, x1), x2) -> c14(IF(isEmpty(node(empty, x1)), isEmpty(left(node(empty, x1))), right(node(empty, x1)), node(empty, node(right(left(node(empty, x1))), right(node(empty, x1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(x0, x1), 0) -> c14(IF(isEmpty(node(x0, x1)), isEmpty(left(node(x0, x1))), right(node(x0, x1)), node(left(x0), node(right(left(node(x0, x1))), right(node(x0, x1)))), 0, s(0))) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(empty), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, 0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), 0, s(0))) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(z0), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(false, isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(x0, x1), 0) -> c14(IF(isEmpty(node(x0, x1)), isEmpty(left(node(x0, x1))), x1, node(left(left(node(x0, x1))), node(right(left(node(x0, x1))), right(node(x0, x1)))), 0, s(0))) COUNT(empty, x0) -> c14(IF(isEmpty(empty), true, right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, 0) -> c14(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), 0, s(0))) COUNT(node(node(z0, z1), x1), x2) -> c14(IF(isEmpty(node(node(z0, z1), x1)), false, right(node(node(z0, z1), x1)), node(left(left(node(node(z0, z1), x1))), node(right(left(node(node(z0, z1), x1))), right(node(node(z0, z1), x1)))), x2, inc(x2)), INC(x2)) COUNT(node(empty, x1), x2) -> c14(IF(isEmpty(node(empty, x1)), true, right(node(empty, x1)), node(left(left(node(empty, x1))), node(right(left(node(empty, x1))), right(node(empty, x1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(false, isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(x0, x1), 0) -> c14(IF(isEmpty(node(x0, x1)), isEmpty(x0), right(node(x0, x1)), node(left(left(node(x0, x1))), node(right(left(node(x0, x1))), right(node(x0, x1)))), 0, s(0))) COUNT(node(x0, x1), 0) -> c14(IF(false, isEmpty(left(node(x0, x1))), right(node(x0, x1)), node(left(left(node(x0, x1))), node(right(left(node(x0, x1))), right(node(x0, x1)))), 0, s(0))) COUNT(empty, 0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), 0, s(0))) COUNT(node(z0, z1), 0) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), 0, s(0))) COUNT(empty, 0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), 0, s(0))) COUNT(node(z0, z1), 0) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), 0, s(0))) COUNT(empty, 0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), 0, s(0))) COUNT(node(z0, z1), 0) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), 0, s(0))) COUNT(empty, 0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), 0, s(0))) COUNT(node(z0, z1), 0) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), 0, s(0))) COUNT(empty, 0) -> c8(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), 0, s(0))) COUNT(node(z0, z1), 0) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), 0, s(0))) COUNT(node(z0, z1), 0) -> c8(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), 0, s(0))) COUNT(x0, s(0)) -> c8(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(0), s(s(0)))) COUNT(x0, s(s(z0))) -> c8(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(s(z0)), s(s(inc(z0))))) COUNT(empty, s(x1)) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), s(x1), s(inc(x1)))) COUNT(node(z0, z1), s(x1)) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), s(x1), s(inc(x1)))) COUNT(empty, s(x1)) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), s(x1), s(inc(x1)))) COUNT(node(z0, z1), s(x1)) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), s(x1), s(inc(x1)))) COUNT(empty, s(x1)) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), s(x1), s(inc(x1)))) COUNT(node(z0, z1), s(x1)) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1)))) COUNT(empty, s(x1)) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), s(x1), s(inc(x1)))) COUNT(node(z0, z1), s(x1)) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1)))) COUNT(empty, s(x1)) -> c8(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), s(x1), s(inc(x1)))) COUNT(node(z0, z1), s(x1)) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1)))) COUNT(empty, s(x1)) -> c8(IF(true, isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), s(x1), s(inc(x1)))) COUNT(node(z0, z1), s(x1)) -> c8(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1)))) K tuples: COUNT(empty, x1) -> c14(INC(x1)) COUNT(x0, s(x1)) -> c14(INC(s(x1))) COUNT(empty, s(x1)) -> c14(INC(s(x1))) Defined Rule Symbols: isEmpty_1, left_1, right_1, inc_1 Defined Pair Symbols: INC_1, IF_6, COUNT_2 Compound Symbols: c7_1, c16_1, c17_1, c14_1, c8_1, c9_1, c10_1, c11_1, c12_1, c13_1, c14_2 ---------------------------------------- (163) CdtLeafRemovalProof (BOTH BOUNDS(ID, ID)) Removed 1 trailing nodes: COUNT(empty, s(x1)) -> c8(IF(true, isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), s(x1), s(inc(x1)))) ---------------------------------------- (164) Obligation: Complexity Dependency Tuples Problem Rules: isEmpty(empty) -> true isEmpty(node(z0, z1)) -> false left(empty) -> empty left(node(z0, z1)) -> z0 right(empty) -> empty right(node(z0, z1)) -> z1 inc(0) -> s(0) inc(s(z0)) -> s(inc(z0)) Tuples: INC(s(z0)) -> c7(INC(z0)) IF(false, false, z0, z1, z2, z3) -> c16(COUNT(z1, z2)) IF(false, true, z0, z1, z2, z3) -> c17(COUNT(z0, z3)) COUNT(empty, x1) -> c14(INC(x1)) COUNT(empty, x1) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1))) COUNT(empty, x1) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c8(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c8(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, 0) -> c9(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(x0, s(z0)) -> c9(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0)))) COUNT(empty, x1) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1))) COUNT(empty, x1) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c9(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c9(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, 0) -> c10(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(x0, s(z0)) -> c10(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0)))) COUNT(empty, x1) -> c10(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1))) COUNT(empty, x1) -> c10(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c10(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c10(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c10(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, 0) -> c11(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(x0, s(z0)) -> c11(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0)))) COUNT(empty, x1) -> c11(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1))) COUNT(empty, x1) -> c11(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c11(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c11(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c11(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, 0) -> c12(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(x0, s(z0)) -> c12(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0)))) COUNT(empty, x1) -> c12(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1))) COUNT(empty, x1) -> c12(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c12(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c12(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c12(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, 0) -> c13(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(x0, s(z0)) -> c13(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0)))) COUNT(empty, x1) -> c13(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1))) COUNT(empty, x1) -> c13(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c13(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c13(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c13(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, s(0)) -> c14(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(0), s(s(0))), INC(s(0))) COUNT(x0, s(s(z0))) -> c14(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(s(z0)), s(s(inc(z0)))), INC(s(s(z0)))) COUNT(empty, s(x1)) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), s(x1), s(inc(x1))), INC(s(x1))) COUNT(empty, s(x1)) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(empty, s(x1)) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(empty, s(x1)) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(empty, s(x1)) -> c14(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(x0, s(x1)) -> c14(INC(s(x1))) COUNT(empty, s(x1)) -> c14(INC(s(x1))) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), empty)), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), empty)), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), empty)), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x0, inc(x0)), INC(x0)) COUNT(empty, 0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), 0, s(0))) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), z1)), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), z1)), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x2, inc(x2)), INC(x2)) COUNT(node(x0, x1), 0) -> c14(IF(isEmpty(node(x0, x1)), isEmpty(left(node(x0, x1))), right(node(x0, x1)), node(left(left(node(x0, x1))), node(right(left(node(x0, x1))), x1)), 0, s(0))) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(empty, right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(empty), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(empty), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, 0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), 0, s(0))) COUNT(node(node(z0, z1), x1), x2) -> c14(IF(isEmpty(node(node(z0, z1), x1)), isEmpty(left(node(node(z0, z1), x1))), right(node(node(z0, z1), x1)), node(left(left(node(node(z0, z1), x1))), node(z1, right(node(node(z0, z1), x1)))), x2, inc(x2)), INC(x2)) COUNT(node(empty, x1), x2) -> c14(IF(isEmpty(node(empty, x1)), isEmpty(left(node(empty, x1))), right(node(empty, x1)), node(left(left(node(empty, x1))), node(empty, right(node(empty, x1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(z0), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(x0, x1), 0) -> c14(IF(isEmpty(node(x0, x1)), isEmpty(left(node(x0, x1))), right(node(x0, x1)), node(left(left(node(x0, x1))), node(right(x0), right(node(x0, x1)))), 0, s(0))) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(empty, node(right(left(empty)), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(empty), node(right(left(empty)), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, 0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), 0, s(0))) COUNT(node(node(z0, z1), x1), x2) -> c14(IF(isEmpty(node(node(z0, z1), x1)), isEmpty(left(node(node(z0, z1), x1))), right(node(node(z0, z1), x1)), node(z0, node(right(left(node(node(z0, z1), x1))), right(node(node(z0, z1), x1)))), x2, inc(x2)), INC(x2)) COUNT(node(empty, x1), x2) -> c14(IF(isEmpty(node(empty, x1)), isEmpty(left(node(empty, x1))), right(node(empty, x1)), node(empty, node(right(left(node(empty, x1))), right(node(empty, x1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(x0, x1), 0) -> c14(IF(isEmpty(node(x0, x1)), isEmpty(left(node(x0, x1))), right(node(x0, x1)), node(left(x0), node(right(left(node(x0, x1))), right(node(x0, x1)))), 0, s(0))) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(empty), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, 0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), 0, s(0))) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(z0), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(false, isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(x0, x1), 0) -> c14(IF(isEmpty(node(x0, x1)), isEmpty(left(node(x0, x1))), x1, node(left(left(node(x0, x1))), node(right(left(node(x0, x1))), right(node(x0, x1)))), 0, s(0))) COUNT(empty, x0) -> c14(IF(isEmpty(empty), true, right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, 0) -> c14(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), 0, s(0))) COUNT(node(node(z0, z1), x1), x2) -> c14(IF(isEmpty(node(node(z0, z1), x1)), false, right(node(node(z0, z1), x1)), node(left(left(node(node(z0, z1), x1))), node(right(left(node(node(z0, z1), x1))), right(node(node(z0, z1), x1)))), x2, inc(x2)), INC(x2)) COUNT(node(empty, x1), x2) -> c14(IF(isEmpty(node(empty, x1)), true, right(node(empty, x1)), node(left(left(node(empty, x1))), node(right(left(node(empty, x1))), right(node(empty, x1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(false, isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(x0, x1), 0) -> c14(IF(isEmpty(node(x0, x1)), isEmpty(x0), right(node(x0, x1)), node(left(left(node(x0, x1))), node(right(left(node(x0, x1))), right(node(x0, x1)))), 0, s(0))) COUNT(node(x0, x1), 0) -> c14(IF(false, isEmpty(left(node(x0, x1))), right(node(x0, x1)), node(left(left(node(x0, x1))), node(right(left(node(x0, x1))), right(node(x0, x1)))), 0, s(0))) COUNT(empty, 0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), 0, s(0))) COUNT(node(z0, z1), 0) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), 0, s(0))) COUNT(empty, 0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), 0, s(0))) COUNT(node(z0, z1), 0) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), 0, s(0))) COUNT(empty, 0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), 0, s(0))) COUNT(node(z0, z1), 0) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), 0, s(0))) COUNT(empty, 0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), 0, s(0))) COUNT(node(z0, z1), 0) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), 0, s(0))) COUNT(empty, 0) -> c8(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), 0, s(0))) COUNT(node(z0, z1), 0) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), 0, s(0))) COUNT(node(z0, z1), 0) -> c8(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), 0, s(0))) COUNT(x0, s(0)) -> c8(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(0), s(s(0)))) COUNT(x0, s(s(z0))) -> c8(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(s(z0)), s(s(inc(z0))))) COUNT(empty, s(x1)) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), s(x1), s(inc(x1)))) COUNT(node(z0, z1), s(x1)) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), s(x1), s(inc(x1)))) COUNT(empty, s(x1)) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), s(x1), s(inc(x1)))) COUNT(node(z0, z1), s(x1)) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), s(x1), s(inc(x1)))) COUNT(empty, s(x1)) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), s(x1), s(inc(x1)))) COUNT(node(z0, z1), s(x1)) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1)))) COUNT(empty, s(x1)) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), s(x1), s(inc(x1)))) COUNT(node(z0, z1), s(x1)) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1)))) COUNT(empty, s(x1)) -> c8(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), s(x1), s(inc(x1)))) COUNT(node(z0, z1), s(x1)) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1)))) COUNT(node(z0, z1), s(x1)) -> c8(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1)))) S tuples: INC(s(z0)) -> c7(INC(z0)) IF(false, false, z0, z1, z2, z3) -> c16(COUNT(z1, z2)) IF(false, true, z0, z1, z2, z3) -> c17(COUNT(z0, z3)) COUNT(empty, x1) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1))) COUNT(empty, x1) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c8(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c8(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, 0) -> c9(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(x0, s(z0)) -> c9(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0)))) COUNT(empty, x1) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1))) COUNT(empty, x1) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c9(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c9(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, 0) -> c10(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(x0, s(z0)) -> c10(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0)))) COUNT(empty, x1) -> c10(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1))) COUNT(empty, x1) -> c10(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c10(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c10(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c10(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, 0) -> c11(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(x0, s(z0)) -> c11(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0)))) COUNT(empty, x1) -> c11(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1))) COUNT(empty, x1) -> c11(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c11(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c11(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c11(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, 0) -> c12(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(x0, s(z0)) -> c12(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0)))) COUNT(empty, x1) -> c12(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1))) COUNT(empty, x1) -> c12(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c12(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c12(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c12(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, 0) -> c13(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(x0, s(z0)) -> c13(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0)))) COUNT(empty, x1) -> c13(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1))) COUNT(empty, x1) -> c13(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c13(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c13(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c13(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, s(0)) -> c14(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(0), s(s(0))), INC(s(0))) COUNT(x0, s(s(z0))) -> c14(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(s(z0)), s(s(inc(z0)))), INC(s(s(z0)))) COUNT(empty, s(x1)) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), s(x1), s(inc(x1))), INC(s(x1))) COUNT(empty, s(x1)) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(empty, s(x1)) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(empty, s(x1)) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(empty, s(x1)) -> c14(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), empty)), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), empty)), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), empty)), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x0, inc(x0)), INC(x0)) COUNT(empty, 0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), 0, s(0))) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), z1)), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), z1)), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x2, inc(x2)), INC(x2)) COUNT(node(x0, x1), 0) -> c14(IF(isEmpty(node(x0, x1)), isEmpty(left(node(x0, x1))), right(node(x0, x1)), node(left(left(node(x0, x1))), node(right(left(node(x0, x1))), x1)), 0, s(0))) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(empty, right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(empty), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(empty), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, 0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), 0, s(0))) COUNT(node(node(z0, z1), x1), x2) -> c14(IF(isEmpty(node(node(z0, z1), x1)), isEmpty(left(node(node(z0, z1), x1))), right(node(node(z0, z1), x1)), node(left(left(node(node(z0, z1), x1))), node(z1, right(node(node(z0, z1), x1)))), x2, inc(x2)), INC(x2)) COUNT(node(empty, x1), x2) -> c14(IF(isEmpty(node(empty, x1)), isEmpty(left(node(empty, x1))), right(node(empty, x1)), node(left(left(node(empty, x1))), node(empty, right(node(empty, x1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(z0), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(x0, x1), 0) -> c14(IF(isEmpty(node(x0, x1)), isEmpty(left(node(x0, x1))), right(node(x0, x1)), node(left(left(node(x0, x1))), node(right(x0), right(node(x0, x1)))), 0, s(0))) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(empty, node(right(left(empty)), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(empty), node(right(left(empty)), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, 0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), 0, s(0))) COUNT(node(node(z0, z1), x1), x2) -> c14(IF(isEmpty(node(node(z0, z1), x1)), isEmpty(left(node(node(z0, z1), x1))), right(node(node(z0, z1), x1)), node(z0, node(right(left(node(node(z0, z1), x1))), right(node(node(z0, z1), x1)))), x2, inc(x2)), INC(x2)) COUNT(node(empty, x1), x2) -> c14(IF(isEmpty(node(empty, x1)), isEmpty(left(node(empty, x1))), right(node(empty, x1)), node(empty, node(right(left(node(empty, x1))), right(node(empty, x1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(x0, x1), 0) -> c14(IF(isEmpty(node(x0, x1)), isEmpty(left(node(x0, x1))), right(node(x0, x1)), node(left(x0), node(right(left(node(x0, x1))), right(node(x0, x1)))), 0, s(0))) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(empty), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, 0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), 0, s(0))) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(z0), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(false, isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(x0, x1), 0) -> c14(IF(isEmpty(node(x0, x1)), isEmpty(left(node(x0, x1))), x1, node(left(left(node(x0, x1))), node(right(left(node(x0, x1))), right(node(x0, x1)))), 0, s(0))) COUNT(empty, x0) -> c14(IF(isEmpty(empty), true, right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, 0) -> c14(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), 0, s(0))) COUNT(node(node(z0, z1), x1), x2) -> c14(IF(isEmpty(node(node(z0, z1), x1)), false, right(node(node(z0, z1), x1)), node(left(left(node(node(z0, z1), x1))), node(right(left(node(node(z0, z1), x1))), right(node(node(z0, z1), x1)))), x2, inc(x2)), INC(x2)) COUNT(node(empty, x1), x2) -> c14(IF(isEmpty(node(empty, x1)), true, right(node(empty, x1)), node(left(left(node(empty, x1))), node(right(left(node(empty, x1))), right(node(empty, x1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(false, isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(x0, x1), 0) -> c14(IF(isEmpty(node(x0, x1)), isEmpty(x0), right(node(x0, x1)), node(left(left(node(x0, x1))), node(right(left(node(x0, x1))), right(node(x0, x1)))), 0, s(0))) COUNT(node(x0, x1), 0) -> c14(IF(false, isEmpty(left(node(x0, x1))), right(node(x0, x1)), node(left(left(node(x0, x1))), node(right(left(node(x0, x1))), right(node(x0, x1)))), 0, s(0))) COUNT(empty, 0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), 0, s(0))) COUNT(node(z0, z1), 0) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), 0, s(0))) COUNT(empty, 0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), 0, s(0))) COUNT(node(z0, z1), 0) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), 0, s(0))) COUNT(empty, 0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), 0, s(0))) COUNT(node(z0, z1), 0) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), 0, s(0))) COUNT(empty, 0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), 0, s(0))) COUNT(node(z0, z1), 0) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), 0, s(0))) COUNT(empty, 0) -> c8(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), 0, s(0))) COUNT(node(z0, z1), 0) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), 0, s(0))) COUNT(node(z0, z1), 0) -> c8(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), 0, s(0))) COUNT(x0, s(0)) -> c8(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(0), s(s(0)))) COUNT(x0, s(s(z0))) -> c8(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(s(z0)), s(s(inc(z0))))) COUNT(empty, s(x1)) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), s(x1), s(inc(x1)))) COUNT(node(z0, z1), s(x1)) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), s(x1), s(inc(x1)))) COUNT(empty, s(x1)) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), s(x1), s(inc(x1)))) COUNT(node(z0, z1), s(x1)) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), s(x1), s(inc(x1)))) COUNT(empty, s(x1)) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), s(x1), s(inc(x1)))) COUNT(node(z0, z1), s(x1)) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1)))) COUNT(empty, s(x1)) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), s(x1), s(inc(x1)))) COUNT(node(z0, z1), s(x1)) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1)))) COUNT(empty, s(x1)) -> c8(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), s(x1), s(inc(x1)))) COUNT(node(z0, z1), s(x1)) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1)))) COUNT(node(z0, z1), s(x1)) -> c8(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1)))) K tuples: COUNT(empty, x1) -> c14(INC(x1)) COUNT(x0, s(x1)) -> c14(INC(s(x1))) COUNT(empty, s(x1)) -> c14(INC(s(x1))) Defined Rule Symbols: isEmpty_1, left_1, right_1, inc_1 Defined Pair Symbols: INC_1, IF_6, COUNT_2 Compound Symbols: c7_1, c16_1, c17_1, c14_1, c8_1, c9_1, c10_1, c11_1, c12_1, c13_1, c14_2 ---------------------------------------- (165) CdtNarrowingProof (BOTH BOUNDS(ID, ID)) Use narrowing to replace COUNT(empty, x1) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1))) by COUNT(empty, 0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), 0, s(0))) COUNT(empty, s(z0)) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), s(z0), s(inc(z0)))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), empty)), x0, inc(x0))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), empty)), x0, inc(x0))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), empty)), x0, inc(x0))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x0, inc(x0))) COUNT(empty, x0) -> c8(IF(true, isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x0, inc(x0))) ---------------------------------------- (166) Obligation: Complexity Dependency Tuples Problem Rules: isEmpty(empty) -> true isEmpty(node(z0, z1)) -> false left(empty) -> empty left(node(z0, z1)) -> z0 right(empty) -> empty right(node(z0, z1)) -> z1 inc(0) -> s(0) inc(s(z0)) -> s(inc(z0)) Tuples: INC(s(z0)) -> c7(INC(z0)) IF(false, false, z0, z1, z2, z3) -> c16(COUNT(z1, z2)) IF(false, true, z0, z1, z2, z3) -> c17(COUNT(z0, z3)) COUNT(empty, x1) -> c14(INC(x1)) COUNT(node(z0, z1), x1) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1))) COUNT(empty, x1) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c8(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c8(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, 0) -> c9(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(x0, s(z0)) -> c9(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0)))) COUNT(empty, x1) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1))) COUNT(empty, x1) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c9(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c9(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, 0) -> c10(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(x0, s(z0)) -> c10(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0)))) COUNT(empty, x1) -> c10(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1))) COUNT(empty, x1) -> c10(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c10(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c10(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c10(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, 0) -> c11(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(x0, s(z0)) -> c11(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0)))) COUNT(empty, x1) -> c11(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1))) COUNT(empty, x1) -> c11(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c11(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c11(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c11(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, 0) -> c12(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(x0, s(z0)) -> c12(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0)))) COUNT(empty, x1) -> c12(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1))) COUNT(empty, x1) -> c12(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c12(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c12(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c12(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, 0) -> c13(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(x0, s(z0)) -> c13(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0)))) COUNT(empty, x1) -> c13(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1))) COUNT(empty, x1) -> c13(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c13(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c13(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c13(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, s(0)) -> c14(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(0), s(s(0))), INC(s(0))) COUNT(x0, s(s(z0))) -> c14(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(s(z0)), s(s(inc(z0)))), INC(s(s(z0)))) COUNT(empty, s(x1)) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), s(x1), s(inc(x1))), INC(s(x1))) COUNT(empty, s(x1)) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(empty, s(x1)) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(empty, s(x1)) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(empty, s(x1)) -> c14(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(x0, s(x1)) -> c14(INC(s(x1))) COUNT(empty, s(x1)) -> c14(INC(s(x1))) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), empty)), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), empty)), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), empty)), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x0, inc(x0)), INC(x0)) COUNT(empty, 0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), 0, s(0))) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), z1)), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), z1)), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x2, inc(x2)), INC(x2)) COUNT(node(x0, x1), 0) -> c14(IF(isEmpty(node(x0, x1)), isEmpty(left(node(x0, x1))), right(node(x0, x1)), node(left(left(node(x0, x1))), node(right(left(node(x0, x1))), x1)), 0, s(0))) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(empty, right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(empty), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(empty), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, 0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), 0, s(0))) COUNT(node(node(z0, z1), x1), x2) -> c14(IF(isEmpty(node(node(z0, z1), x1)), isEmpty(left(node(node(z0, z1), x1))), right(node(node(z0, z1), x1)), node(left(left(node(node(z0, z1), x1))), node(z1, right(node(node(z0, z1), x1)))), x2, inc(x2)), INC(x2)) COUNT(node(empty, x1), x2) -> c14(IF(isEmpty(node(empty, x1)), isEmpty(left(node(empty, x1))), right(node(empty, x1)), node(left(left(node(empty, x1))), node(empty, right(node(empty, x1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(z0), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(x0, x1), 0) -> c14(IF(isEmpty(node(x0, x1)), isEmpty(left(node(x0, x1))), right(node(x0, x1)), node(left(left(node(x0, x1))), node(right(x0), right(node(x0, x1)))), 0, s(0))) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(empty, node(right(left(empty)), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(empty), node(right(left(empty)), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, 0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), 0, s(0))) COUNT(node(node(z0, z1), x1), x2) -> c14(IF(isEmpty(node(node(z0, z1), x1)), isEmpty(left(node(node(z0, z1), x1))), right(node(node(z0, z1), x1)), node(z0, node(right(left(node(node(z0, z1), x1))), right(node(node(z0, z1), x1)))), x2, inc(x2)), INC(x2)) COUNT(node(empty, x1), x2) -> c14(IF(isEmpty(node(empty, x1)), isEmpty(left(node(empty, x1))), right(node(empty, x1)), node(empty, node(right(left(node(empty, x1))), right(node(empty, x1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(x0, x1), 0) -> c14(IF(isEmpty(node(x0, x1)), isEmpty(left(node(x0, x1))), right(node(x0, x1)), node(left(x0), node(right(left(node(x0, x1))), right(node(x0, x1)))), 0, s(0))) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(empty), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, 0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), 0, s(0))) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(z0), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(false, isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(x0, x1), 0) -> c14(IF(isEmpty(node(x0, x1)), isEmpty(left(node(x0, x1))), x1, node(left(left(node(x0, x1))), node(right(left(node(x0, x1))), right(node(x0, x1)))), 0, s(0))) COUNT(empty, x0) -> c14(IF(isEmpty(empty), true, right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, 0) -> c14(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), 0, s(0))) COUNT(node(node(z0, z1), x1), x2) -> c14(IF(isEmpty(node(node(z0, z1), x1)), false, right(node(node(z0, z1), x1)), node(left(left(node(node(z0, z1), x1))), node(right(left(node(node(z0, z1), x1))), right(node(node(z0, z1), x1)))), x2, inc(x2)), INC(x2)) COUNT(node(empty, x1), x2) -> c14(IF(isEmpty(node(empty, x1)), true, right(node(empty, x1)), node(left(left(node(empty, x1))), node(right(left(node(empty, x1))), right(node(empty, x1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(false, isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(x0, x1), 0) -> c14(IF(isEmpty(node(x0, x1)), isEmpty(x0), right(node(x0, x1)), node(left(left(node(x0, x1))), node(right(left(node(x0, x1))), right(node(x0, x1)))), 0, s(0))) COUNT(node(x0, x1), 0) -> c14(IF(false, isEmpty(left(node(x0, x1))), right(node(x0, x1)), node(left(left(node(x0, x1))), node(right(left(node(x0, x1))), right(node(x0, x1)))), 0, s(0))) COUNT(empty, 0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), 0, s(0))) COUNT(node(z0, z1), 0) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), 0, s(0))) COUNT(empty, 0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), 0, s(0))) COUNT(node(z0, z1), 0) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), 0, s(0))) COUNT(empty, 0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), 0, s(0))) COUNT(node(z0, z1), 0) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), 0, s(0))) COUNT(empty, 0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), 0, s(0))) COUNT(node(z0, z1), 0) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), 0, s(0))) COUNT(empty, 0) -> c8(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), 0, s(0))) COUNT(node(z0, z1), 0) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), 0, s(0))) COUNT(node(z0, z1), 0) -> c8(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), 0, s(0))) COUNT(x0, s(0)) -> c8(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(0), s(s(0)))) COUNT(x0, s(s(z0))) -> c8(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(s(z0)), s(s(inc(z0))))) COUNT(empty, s(x1)) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), s(x1), s(inc(x1)))) COUNT(node(z0, z1), s(x1)) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), s(x1), s(inc(x1)))) COUNT(empty, s(x1)) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), s(x1), s(inc(x1)))) COUNT(node(z0, z1), s(x1)) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), s(x1), s(inc(x1)))) COUNT(empty, s(x1)) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), s(x1), s(inc(x1)))) COUNT(node(z0, z1), s(x1)) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1)))) COUNT(empty, s(x1)) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), s(x1), s(inc(x1)))) COUNT(node(z0, z1), s(x1)) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1)))) COUNT(empty, s(x1)) -> c8(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), s(x1), s(inc(x1)))) COUNT(node(z0, z1), s(x1)) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1)))) COUNT(node(z0, z1), s(x1)) -> c8(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1)))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), empty)), x0, inc(x0))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), empty)), x0, inc(x0))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), empty)), x0, inc(x0))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x0, inc(x0))) COUNT(empty, x0) -> c8(IF(true, isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x0, inc(x0))) S tuples: INC(s(z0)) -> c7(INC(z0)) IF(false, false, z0, z1, z2, z3) -> c16(COUNT(z1, z2)) IF(false, true, z0, z1, z2, z3) -> c17(COUNT(z0, z3)) COUNT(node(z0, z1), x1) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1))) COUNT(empty, x1) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c8(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c8(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, 0) -> c9(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(x0, s(z0)) -> c9(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0)))) COUNT(empty, x1) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1))) COUNT(empty, x1) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c9(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c9(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, 0) -> c10(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(x0, s(z0)) -> c10(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0)))) COUNT(empty, x1) -> c10(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1))) COUNT(empty, x1) -> c10(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c10(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c10(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c10(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, 0) -> c11(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(x0, s(z0)) -> c11(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0)))) COUNT(empty, x1) -> c11(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1))) COUNT(empty, x1) -> c11(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c11(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c11(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c11(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, 0) -> c12(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(x0, s(z0)) -> c12(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0)))) COUNT(empty, x1) -> c12(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1))) COUNT(empty, x1) -> c12(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c12(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c12(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c12(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, 0) -> c13(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(x0, s(z0)) -> c13(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0)))) COUNT(empty, x1) -> c13(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1))) COUNT(empty, x1) -> c13(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c13(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c13(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c13(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, s(0)) -> c14(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(0), s(s(0))), INC(s(0))) COUNT(x0, s(s(z0))) -> c14(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(s(z0)), s(s(inc(z0)))), INC(s(s(z0)))) COUNT(empty, s(x1)) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), s(x1), s(inc(x1))), INC(s(x1))) COUNT(empty, s(x1)) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(empty, s(x1)) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(empty, s(x1)) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(empty, s(x1)) -> c14(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), empty)), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), empty)), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), empty)), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x0, inc(x0)), INC(x0)) COUNT(empty, 0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), 0, s(0))) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), z1)), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), z1)), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x2, inc(x2)), INC(x2)) COUNT(node(x0, x1), 0) -> c14(IF(isEmpty(node(x0, x1)), isEmpty(left(node(x0, x1))), right(node(x0, x1)), node(left(left(node(x0, x1))), node(right(left(node(x0, x1))), x1)), 0, s(0))) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(empty, right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(empty), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(empty), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, 0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), 0, s(0))) COUNT(node(node(z0, z1), x1), x2) -> c14(IF(isEmpty(node(node(z0, z1), x1)), isEmpty(left(node(node(z0, z1), x1))), right(node(node(z0, z1), x1)), node(left(left(node(node(z0, z1), x1))), node(z1, right(node(node(z0, z1), x1)))), x2, inc(x2)), INC(x2)) COUNT(node(empty, x1), x2) -> c14(IF(isEmpty(node(empty, x1)), isEmpty(left(node(empty, x1))), right(node(empty, x1)), node(left(left(node(empty, x1))), node(empty, right(node(empty, x1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(z0), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(x0, x1), 0) -> c14(IF(isEmpty(node(x0, x1)), isEmpty(left(node(x0, x1))), right(node(x0, x1)), node(left(left(node(x0, x1))), node(right(x0), right(node(x0, x1)))), 0, s(0))) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(empty, node(right(left(empty)), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(empty), node(right(left(empty)), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, 0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), 0, s(0))) COUNT(node(node(z0, z1), x1), x2) -> c14(IF(isEmpty(node(node(z0, z1), x1)), isEmpty(left(node(node(z0, z1), x1))), right(node(node(z0, z1), x1)), node(z0, node(right(left(node(node(z0, z1), x1))), right(node(node(z0, z1), x1)))), x2, inc(x2)), INC(x2)) COUNT(node(empty, x1), x2) -> c14(IF(isEmpty(node(empty, x1)), isEmpty(left(node(empty, x1))), right(node(empty, x1)), node(empty, node(right(left(node(empty, x1))), right(node(empty, x1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(x0, x1), 0) -> c14(IF(isEmpty(node(x0, x1)), isEmpty(left(node(x0, x1))), right(node(x0, x1)), node(left(x0), node(right(left(node(x0, x1))), right(node(x0, x1)))), 0, s(0))) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(empty), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, 0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), 0, s(0))) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(z0), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(false, isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(x0, x1), 0) -> c14(IF(isEmpty(node(x0, x1)), isEmpty(left(node(x0, x1))), x1, node(left(left(node(x0, x1))), node(right(left(node(x0, x1))), right(node(x0, x1)))), 0, s(0))) COUNT(empty, x0) -> c14(IF(isEmpty(empty), true, right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, 0) -> c14(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), 0, s(0))) COUNT(node(node(z0, z1), x1), x2) -> c14(IF(isEmpty(node(node(z0, z1), x1)), false, right(node(node(z0, z1), x1)), node(left(left(node(node(z0, z1), x1))), node(right(left(node(node(z0, z1), x1))), right(node(node(z0, z1), x1)))), x2, inc(x2)), INC(x2)) COUNT(node(empty, x1), x2) -> c14(IF(isEmpty(node(empty, x1)), true, right(node(empty, x1)), node(left(left(node(empty, x1))), node(right(left(node(empty, x1))), right(node(empty, x1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(false, isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(x0, x1), 0) -> c14(IF(isEmpty(node(x0, x1)), isEmpty(x0), right(node(x0, x1)), node(left(left(node(x0, x1))), node(right(left(node(x0, x1))), right(node(x0, x1)))), 0, s(0))) COUNT(node(x0, x1), 0) -> c14(IF(false, isEmpty(left(node(x0, x1))), right(node(x0, x1)), node(left(left(node(x0, x1))), node(right(left(node(x0, x1))), right(node(x0, x1)))), 0, s(0))) COUNT(empty, 0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), 0, s(0))) COUNT(node(z0, z1), 0) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), 0, s(0))) COUNT(empty, 0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), 0, s(0))) COUNT(node(z0, z1), 0) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), 0, s(0))) COUNT(empty, 0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), 0, s(0))) COUNT(node(z0, z1), 0) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), 0, s(0))) COUNT(empty, 0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), 0, s(0))) COUNT(node(z0, z1), 0) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), 0, s(0))) COUNT(empty, 0) -> c8(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), 0, s(0))) COUNT(node(z0, z1), 0) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), 0, s(0))) COUNT(node(z0, z1), 0) -> c8(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), 0, s(0))) COUNT(x0, s(0)) -> c8(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(0), s(s(0)))) COUNT(x0, s(s(z0))) -> c8(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(s(z0)), s(s(inc(z0))))) COUNT(empty, s(x1)) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), s(x1), s(inc(x1)))) COUNT(node(z0, z1), s(x1)) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), s(x1), s(inc(x1)))) COUNT(empty, s(x1)) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), s(x1), s(inc(x1)))) COUNT(node(z0, z1), s(x1)) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), s(x1), s(inc(x1)))) COUNT(empty, s(x1)) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), s(x1), s(inc(x1)))) COUNT(node(z0, z1), s(x1)) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1)))) COUNT(empty, s(x1)) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), s(x1), s(inc(x1)))) COUNT(node(z0, z1), s(x1)) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1)))) COUNT(empty, s(x1)) -> c8(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), s(x1), s(inc(x1)))) COUNT(node(z0, z1), s(x1)) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1)))) COUNT(node(z0, z1), s(x1)) -> c8(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1)))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), empty)), x0, inc(x0))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), empty)), x0, inc(x0))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), empty)), x0, inc(x0))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x0, inc(x0))) COUNT(empty, x0) -> c8(IF(true, isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x0, inc(x0))) K tuples: COUNT(empty, x1) -> c14(INC(x1)) COUNT(x0, s(x1)) -> c14(INC(s(x1))) COUNT(empty, s(x1)) -> c14(INC(s(x1))) Defined Rule Symbols: isEmpty_1, left_1, right_1, inc_1 Defined Pair Symbols: INC_1, IF_6, COUNT_2 Compound Symbols: c7_1, c16_1, c17_1, c14_1, c8_1, c9_1, c10_1, c11_1, c12_1, c13_1, c14_2 ---------------------------------------- (167) CdtLeafRemovalProof (BOTH BOUNDS(ID, ID)) Removed 1 trailing nodes: COUNT(empty, x0) -> c8(IF(true, isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x0, inc(x0))) ---------------------------------------- (168) Obligation: Complexity Dependency Tuples Problem Rules: isEmpty(empty) -> true isEmpty(node(z0, z1)) -> false left(empty) -> empty left(node(z0, z1)) -> z0 right(empty) -> empty right(node(z0, z1)) -> z1 inc(0) -> s(0) inc(s(z0)) -> s(inc(z0)) Tuples: INC(s(z0)) -> c7(INC(z0)) IF(false, false, z0, z1, z2, z3) -> c16(COUNT(z1, z2)) IF(false, true, z0, z1, z2, z3) -> c17(COUNT(z0, z3)) COUNT(empty, x1) -> c14(INC(x1)) COUNT(node(z0, z1), x1) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1))) COUNT(empty, x1) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c8(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c8(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, 0) -> c9(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(x0, s(z0)) -> c9(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0)))) COUNT(empty, x1) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1))) COUNT(empty, x1) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c9(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c9(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, 0) -> c10(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(x0, s(z0)) -> c10(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0)))) COUNT(empty, x1) -> c10(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1))) COUNT(empty, x1) -> c10(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c10(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c10(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c10(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, 0) -> c11(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(x0, s(z0)) -> c11(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0)))) COUNT(empty, x1) -> c11(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1))) COUNT(empty, x1) -> c11(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c11(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c11(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c11(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, 0) -> c12(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(x0, s(z0)) -> c12(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0)))) COUNT(empty, x1) -> c12(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1))) COUNT(empty, x1) -> c12(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c12(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c12(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c12(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, 0) -> c13(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(x0, s(z0)) -> c13(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0)))) COUNT(empty, x1) -> c13(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1))) COUNT(empty, x1) -> c13(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c13(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c13(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c13(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, s(0)) -> c14(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(0), s(s(0))), INC(s(0))) COUNT(x0, s(s(z0))) -> c14(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(s(z0)), s(s(inc(z0)))), INC(s(s(z0)))) COUNT(empty, s(x1)) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), s(x1), s(inc(x1))), INC(s(x1))) COUNT(empty, s(x1)) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(empty, s(x1)) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(empty, s(x1)) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(empty, s(x1)) -> c14(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(x0, s(x1)) -> c14(INC(s(x1))) COUNT(empty, s(x1)) -> c14(INC(s(x1))) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), empty)), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), empty)), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), empty)), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x0, inc(x0)), INC(x0)) COUNT(empty, 0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), 0, s(0))) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), z1)), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), z1)), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x2, inc(x2)), INC(x2)) COUNT(node(x0, x1), 0) -> c14(IF(isEmpty(node(x0, x1)), isEmpty(left(node(x0, x1))), right(node(x0, x1)), node(left(left(node(x0, x1))), node(right(left(node(x0, x1))), x1)), 0, s(0))) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(empty, right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(empty), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(empty), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, 0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), 0, s(0))) COUNT(node(node(z0, z1), x1), x2) -> c14(IF(isEmpty(node(node(z0, z1), x1)), isEmpty(left(node(node(z0, z1), x1))), right(node(node(z0, z1), x1)), node(left(left(node(node(z0, z1), x1))), node(z1, right(node(node(z0, z1), x1)))), x2, inc(x2)), INC(x2)) COUNT(node(empty, x1), x2) -> c14(IF(isEmpty(node(empty, x1)), isEmpty(left(node(empty, x1))), right(node(empty, x1)), node(left(left(node(empty, x1))), node(empty, right(node(empty, x1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(z0), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(x0, x1), 0) -> c14(IF(isEmpty(node(x0, x1)), isEmpty(left(node(x0, x1))), right(node(x0, x1)), node(left(left(node(x0, x1))), node(right(x0), right(node(x0, x1)))), 0, s(0))) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(empty, node(right(left(empty)), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(empty), node(right(left(empty)), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, 0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), 0, s(0))) COUNT(node(node(z0, z1), x1), x2) -> c14(IF(isEmpty(node(node(z0, z1), x1)), isEmpty(left(node(node(z0, z1), x1))), right(node(node(z0, z1), x1)), node(z0, node(right(left(node(node(z0, z1), x1))), right(node(node(z0, z1), x1)))), x2, inc(x2)), INC(x2)) COUNT(node(empty, x1), x2) -> c14(IF(isEmpty(node(empty, x1)), isEmpty(left(node(empty, x1))), right(node(empty, x1)), node(empty, node(right(left(node(empty, x1))), right(node(empty, x1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(x0, x1), 0) -> c14(IF(isEmpty(node(x0, x1)), isEmpty(left(node(x0, x1))), right(node(x0, x1)), node(left(x0), node(right(left(node(x0, x1))), right(node(x0, x1)))), 0, s(0))) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(empty), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, 0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), 0, s(0))) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(z0), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(false, isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(x0, x1), 0) -> c14(IF(isEmpty(node(x0, x1)), isEmpty(left(node(x0, x1))), x1, node(left(left(node(x0, x1))), node(right(left(node(x0, x1))), right(node(x0, x1)))), 0, s(0))) COUNT(empty, x0) -> c14(IF(isEmpty(empty), true, right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, 0) -> c14(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), 0, s(0))) COUNT(node(node(z0, z1), x1), x2) -> c14(IF(isEmpty(node(node(z0, z1), x1)), false, right(node(node(z0, z1), x1)), node(left(left(node(node(z0, z1), x1))), node(right(left(node(node(z0, z1), x1))), right(node(node(z0, z1), x1)))), x2, inc(x2)), INC(x2)) COUNT(node(empty, x1), x2) -> c14(IF(isEmpty(node(empty, x1)), true, right(node(empty, x1)), node(left(left(node(empty, x1))), node(right(left(node(empty, x1))), right(node(empty, x1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(false, isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(x0, x1), 0) -> c14(IF(isEmpty(node(x0, x1)), isEmpty(x0), right(node(x0, x1)), node(left(left(node(x0, x1))), node(right(left(node(x0, x1))), right(node(x0, x1)))), 0, s(0))) COUNT(node(x0, x1), 0) -> c14(IF(false, isEmpty(left(node(x0, x1))), right(node(x0, x1)), node(left(left(node(x0, x1))), node(right(left(node(x0, x1))), right(node(x0, x1)))), 0, s(0))) COUNT(empty, 0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), 0, s(0))) COUNT(node(z0, z1), 0) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), 0, s(0))) COUNT(empty, 0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), 0, s(0))) COUNT(node(z0, z1), 0) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), 0, s(0))) COUNT(empty, 0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), 0, s(0))) COUNT(node(z0, z1), 0) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), 0, s(0))) COUNT(empty, 0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), 0, s(0))) COUNT(node(z0, z1), 0) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), 0, s(0))) COUNT(empty, 0) -> c8(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), 0, s(0))) COUNT(node(z0, z1), 0) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), 0, s(0))) COUNT(node(z0, z1), 0) -> c8(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), 0, s(0))) COUNT(x0, s(0)) -> c8(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(0), s(s(0)))) COUNT(x0, s(s(z0))) -> c8(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(s(z0)), s(s(inc(z0))))) COUNT(empty, s(x1)) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), s(x1), s(inc(x1)))) COUNT(node(z0, z1), s(x1)) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), s(x1), s(inc(x1)))) COUNT(empty, s(x1)) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), s(x1), s(inc(x1)))) COUNT(node(z0, z1), s(x1)) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), s(x1), s(inc(x1)))) COUNT(empty, s(x1)) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), s(x1), s(inc(x1)))) COUNT(node(z0, z1), s(x1)) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1)))) COUNT(empty, s(x1)) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), s(x1), s(inc(x1)))) COUNT(node(z0, z1), s(x1)) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1)))) COUNT(empty, s(x1)) -> c8(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), s(x1), s(inc(x1)))) COUNT(node(z0, z1), s(x1)) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1)))) COUNT(node(z0, z1), s(x1)) -> c8(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1)))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), empty)), x0, inc(x0))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), empty)), x0, inc(x0))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), empty)), x0, inc(x0))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x0, inc(x0))) S tuples: INC(s(z0)) -> c7(INC(z0)) IF(false, false, z0, z1, z2, z3) -> c16(COUNT(z1, z2)) IF(false, true, z0, z1, z2, z3) -> c17(COUNT(z0, z3)) COUNT(node(z0, z1), x1) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1))) COUNT(empty, x1) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c8(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c8(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, 0) -> c9(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(x0, s(z0)) -> c9(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0)))) COUNT(empty, x1) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1))) COUNT(empty, x1) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c9(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c9(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, 0) -> c10(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(x0, s(z0)) -> c10(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0)))) COUNT(empty, x1) -> c10(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1))) COUNT(empty, x1) -> c10(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c10(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c10(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c10(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, 0) -> c11(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(x0, s(z0)) -> c11(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0)))) COUNT(empty, x1) -> c11(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1))) COUNT(empty, x1) -> c11(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c11(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c11(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c11(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, 0) -> c12(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(x0, s(z0)) -> c12(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0)))) COUNT(empty, x1) -> c12(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1))) COUNT(empty, x1) -> c12(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c12(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c12(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c12(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, 0) -> c13(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(x0, s(z0)) -> c13(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0)))) COUNT(empty, x1) -> c13(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1))) COUNT(empty, x1) -> c13(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c13(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c13(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c13(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, s(0)) -> c14(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(0), s(s(0))), INC(s(0))) COUNT(x0, s(s(z0))) -> c14(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(s(z0)), s(s(inc(z0)))), INC(s(s(z0)))) COUNT(empty, s(x1)) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), s(x1), s(inc(x1))), INC(s(x1))) COUNT(empty, s(x1)) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(empty, s(x1)) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(empty, s(x1)) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(empty, s(x1)) -> c14(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), empty)), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), empty)), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), empty)), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x0, inc(x0)), INC(x0)) COUNT(empty, 0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), 0, s(0))) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), z1)), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), z1)), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x2, inc(x2)), INC(x2)) COUNT(node(x0, x1), 0) -> c14(IF(isEmpty(node(x0, x1)), isEmpty(left(node(x0, x1))), right(node(x0, x1)), node(left(left(node(x0, x1))), node(right(left(node(x0, x1))), x1)), 0, s(0))) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(empty, right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(empty), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(empty), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, 0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), 0, s(0))) COUNT(node(node(z0, z1), x1), x2) -> c14(IF(isEmpty(node(node(z0, z1), x1)), isEmpty(left(node(node(z0, z1), x1))), right(node(node(z0, z1), x1)), node(left(left(node(node(z0, z1), x1))), node(z1, right(node(node(z0, z1), x1)))), x2, inc(x2)), INC(x2)) COUNT(node(empty, x1), x2) -> c14(IF(isEmpty(node(empty, x1)), isEmpty(left(node(empty, x1))), right(node(empty, x1)), node(left(left(node(empty, x1))), node(empty, right(node(empty, x1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(z0), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(x0, x1), 0) -> c14(IF(isEmpty(node(x0, x1)), isEmpty(left(node(x0, x1))), right(node(x0, x1)), node(left(left(node(x0, x1))), node(right(x0), right(node(x0, x1)))), 0, s(0))) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(empty, node(right(left(empty)), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(empty), node(right(left(empty)), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, 0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), 0, s(0))) COUNT(node(node(z0, z1), x1), x2) -> c14(IF(isEmpty(node(node(z0, z1), x1)), isEmpty(left(node(node(z0, z1), x1))), right(node(node(z0, z1), x1)), node(z0, node(right(left(node(node(z0, z1), x1))), right(node(node(z0, z1), x1)))), x2, inc(x2)), INC(x2)) COUNT(node(empty, x1), x2) -> c14(IF(isEmpty(node(empty, x1)), isEmpty(left(node(empty, x1))), right(node(empty, x1)), node(empty, node(right(left(node(empty, x1))), right(node(empty, x1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(x0, x1), 0) -> c14(IF(isEmpty(node(x0, x1)), isEmpty(left(node(x0, x1))), right(node(x0, x1)), node(left(x0), node(right(left(node(x0, x1))), right(node(x0, x1)))), 0, s(0))) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(empty), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, 0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), 0, s(0))) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(z0), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(false, isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(x0, x1), 0) -> c14(IF(isEmpty(node(x0, x1)), isEmpty(left(node(x0, x1))), x1, node(left(left(node(x0, x1))), node(right(left(node(x0, x1))), right(node(x0, x1)))), 0, s(0))) COUNT(empty, x0) -> c14(IF(isEmpty(empty), true, right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, 0) -> c14(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), 0, s(0))) COUNT(node(node(z0, z1), x1), x2) -> c14(IF(isEmpty(node(node(z0, z1), x1)), false, right(node(node(z0, z1), x1)), node(left(left(node(node(z0, z1), x1))), node(right(left(node(node(z0, z1), x1))), right(node(node(z0, z1), x1)))), x2, inc(x2)), INC(x2)) COUNT(node(empty, x1), x2) -> c14(IF(isEmpty(node(empty, x1)), true, right(node(empty, x1)), node(left(left(node(empty, x1))), node(right(left(node(empty, x1))), right(node(empty, x1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(false, isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(x0, x1), 0) -> c14(IF(isEmpty(node(x0, x1)), isEmpty(x0), right(node(x0, x1)), node(left(left(node(x0, x1))), node(right(left(node(x0, x1))), right(node(x0, x1)))), 0, s(0))) COUNT(node(x0, x1), 0) -> c14(IF(false, isEmpty(left(node(x0, x1))), right(node(x0, x1)), node(left(left(node(x0, x1))), node(right(left(node(x0, x1))), right(node(x0, x1)))), 0, s(0))) COUNT(empty, 0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), 0, s(0))) COUNT(node(z0, z1), 0) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), 0, s(0))) COUNT(empty, 0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), 0, s(0))) COUNT(node(z0, z1), 0) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), 0, s(0))) COUNT(empty, 0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), 0, s(0))) COUNT(node(z0, z1), 0) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), 0, s(0))) COUNT(empty, 0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), 0, s(0))) COUNT(node(z0, z1), 0) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), 0, s(0))) COUNT(empty, 0) -> c8(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), 0, s(0))) COUNT(node(z0, z1), 0) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), 0, s(0))) COUNT(node(z0, z1), 0) -> c8(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), 0, s(0))) COUNT(x0, s(0)) -> c8(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(0), s(s(0)))) COUNT(x0, s(s(z0))) -> c8(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(s(z0)), s(s(inc(z0))))) COUNT(empty, s(x1)) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), s(x1), s(inc(x1)))) COUNT(node(z0, z1), s(x1)) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), s(x1), s(inc(x1)))) COUNT(empty, s(x1)) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), s(x1), s(inc(x1)))) COUNT(node(z0, z1), s(x1)) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), s(x1), s(inc(x1)))) COUNT(empty, s(x1)) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), s(x1), s(inc(x1)))) COUNT(node(z0, z1), s(x1)) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1)))) COUNT(empty, s(x1)) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), s(x1), s(inc(x1)))) COUNT(node(z0, z1), s(x1)) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1)))) COUNT(empty, s(x1)) -> c8(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), s(x1), s(inc(x1)))) COUNT(node(z0, z1), s(x1)) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1)))) COUNT(node(z0, z1), s(x1)) -> c8(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1)))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), empty)), x0, inc(x0))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), empty)), x0, inc(x0))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), empty)), x0, inc(x0))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x0, inc(x0))) K tuples: COUNT(empty, x1) -> c14(INC(x1)) COUNT(x0, s(x1)) -> c14(INC(s(x1))) COUNT(empty, s(x1)) -> c14(INC(s(x1))) Defined Rule Symbols: isEmpty_1, left_1, right_1, inc_1 Defined Pair Symbols: INC_1, IF_6, COUNT_2 Compound Symbols: c7_1, c16_1, c17_1, c14_1, c8_1, c9_1, c10_1, c11_1, c12_1, c13_1, c14_2 ---------------------------------------- (169) CdtNarrowingProof (BOTH BOUNDS(ID, ID)) Use narrowing to replace COUNT(node(z0, z1), x1) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1))) by COUNT(node(x0, x1), 0) -> c8(IF(isEmpty(node(x0, x1)), isEmpty(left(node(x0, x1))), right(node(x0, x1)), node(left(left(node(x0, x1))), node(right(left(node(x0, x1))), x1)), 0, s(0))) COUNT(node(x0, x1), s(z0)) -> c8(IF(isEmpty(node(x0, x1)), isEmpty(left(node(x0, x1))), right(node(x0, x1)), node(left(left(node(x0, x1))), node(right(left(node(x0, x1))), x1)), s(z0), s(inc(z0)))) COUNT(node(z0, z1), x2) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), z1)), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), z1)), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c8(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x2, inc(x2))) ---------------------------------------- (170) Obligation: Complexity Dependency Tuples Problem Rules: isEmpty(empty) -> true isEmpty(node(z0, z1)) -> false left(empty) -> empty left(node(z0, z1)) -> z0 right(empty) -> empty right(node(z0, z1)) -> z1 inc(0) -> s(0) inc(s(z0)) -> s(inc(z0)) Tuples: INC(s(z0)) -> c7(INC(z0)) IF(false, false, z0, z1, z2, z3) -> c16(COUNT(z1, z2)) IF(false, true, z0, z1, z2, z3) -> c17(COUNT(z0, z3)) COUNT(empty, x1) -> c14(INC(x1)) COUNT(empty, x1) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c8(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c8(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, 0) -> c9(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(x0, s(z0)) -> c9(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0)))) COUNT(empty, x1) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1))) COUNT(empty, x1) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c9(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c9(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, 0) -> c10(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(x0, s(z0)) -> c10(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0)))) COUNT(empty, x1) -> c10(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1))) COUNT(empty, x1) -> c10(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c10(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c10(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c10(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, 0) -> c11(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(x0, s(z0)) -> c11(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0)))) COUNT(empty, x1) -> c11(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1))) COUNT(empty, x1) -> c11(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c11(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c11(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c11(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, 0) -> c12(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(x0, s(z0)) -> c12(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0)))) COUNT(empty, x1) -> c12(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1))) COUNT(empty, x1) -> c12(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c12(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c12(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c12(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, 0) -> c13(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(x0, s(z0)) -> c13(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0)))) COUNT(empty, x1) -> c13(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1))) COUNT(empty, x1) -> c13(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c13(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c13(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c13(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, s(0)) -> c14(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(0), s(s(0))), INC(s(0))) COUNT(x0, s(s(z0))) -> c14(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(s(z0)), s(s(inc(z0)))), INC(s(s(z0)))) COUNT(empty, s(x1)) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), s(x1), s(inc(x1))), INC(s(x1))) COUNT(empty, s(x1)) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(empty, s(x1)) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(empty, s(x1)) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(empty, s(x1)) -> c14(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(x0, s(x1)) -> c14(INC(s(x1))) COUNT(empty, s(x1)) -> c14(INC(s(x1))) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), empty)), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), empty)), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), empty)), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x0, inc(x0)), INC(x0)) COUNT(empty, 0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), 0, s(0))) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), z1)), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), z1)), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x2, inc(x2)), INC(x2)) COUNT(node(x0, x1), 0) -> c14(IF(isEmpty(node(x0, x1)), isEmpty(left(node(x0, x1))), right(node(x0, x1)), node(left(left(node(x0, x1))), node(right(left(node(x0, x1))), x1)), 0, s(0))) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(empty, right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(empty), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(empty), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, 0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), 0, s(0))) COUNT(node(node(z0, z1), x1), x2) -> c14(IF(isEmpty(node(node(z0, z1), x1)), isEmpty(left(node(node(z0, z1), x1))), right(node(node(z0, z1), x1)), node(left(left(node(node(z0, z1), x1))), node(z1, right(node(node(z0, z1), x1)))), x2, inc(x2)), INC(x2)) COUNT(node(empty, x1), x2) -> c14(IF(isEmpty(node(empty, x1)), isEmpty(left(node(empty, x1))), right(node(empty, x1)), node(left(left(node(empty, x1))), node(empty, right(node(empty, x1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(z0), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(x0, x1), 0) -> c14(IF(isEmpty(node(x0, x1)), isEmpty(left(node(x0, x1))), right(node(x0, x1)), node(left(left(node(x0, x1))), node(right(x0), right(node(x0, x1)))), 0, s(0))) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(empty, node(right(left(empty)), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(empty), node(right(left(empty)), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, 0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), 0, s(0))) COUNT(node(node(z0, z1), x1), x2) -> c14(IF(isEmpty(node(node(z0, z1), x1)), isEmpty(left(node(node(z0, z1), x1))), right(node(node(z0, z1), x1)), node(z0, node(right(left(node(node(z0, z1), x1))), right(node(node(z0, z1), x1)))), x2, inc(x2)), INC(x2)) COUNT(node(empty, x1), x2) -> c14(IF(isEmpty(node(empty, x1)), isEmpty(left(node(empty, x1))), right(node(empty, x1)), node(empty, node(right(left(node(empty, x1))), right(node(empty, x1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(x0, x1), 0) -> c14(IF(isEmpty(node(x0, x1)), isEmpty(left(node(x0, x1))), right(node(x0, x1)), node(left(x0), node(right(left(node(x0, x1))), right(node(x0, x1)))), 0, s(0))) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(empty), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, 0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), 0, s(0))) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(z0), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(false, isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(x0, x1), 0) -> c14(IF(isEmpty(node(x0, x1)), isEmpty(left(node(x0, x1))), x1, node(left(left(node(x0, x1))), node(right(left(node(x0, x1))), right(node(x0, x1)))), 0, s(0))) COUNT(empty, x0) -> c14(IF(isEmpty(empty), true, right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, 0) -> c14(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), 0, s(0))) COUNT(node(node(z0, z1), x1), x2) -> c14(IF(isEmpty(node(node(z0, z1), x1)), false, right(node(node(z0, z1), x1)), node(left(left(node(node(z0, z1), x1))), node(right(left(node(node(z0, z1), x1))), right(node(node(z0, z1), x1)))), x2, inc(x2)), INC(x2)) COUNT(node(empty, x1), x2) -> c14(IF(isEmpty(node(empty, x1)), true, right(node(empty, x1)), node(left(left(node(empty, x1))), node(right(left(node(empty, x1))), right(node(empty, x1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(false, isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(x0, x1), 0) -> c14(IF(isEmpty(node(x0, x1)), isEmpty(x0), right(node(x0, x1)), node(left(left(node(x0, x1))), node(right(left(node(x0, x1))), right(node(x0, x1)))), 0, s(0))) COUNT(node(x0, x1), 0) -> c14(IF(false, isEmpty(left(node(x0, x1))), right(node(x0, x1)), node(left(left(node(x0, x1))), node(right(left(node(x0, x1))), right(node(x0, x1)))), 0, s(0))) COUNT(empty, 0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), 0, s(0))) COUNT(node(z0, z1), 0) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), 0, s(0))) COUNT(empty, 0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), 0, s(0))) COUNT(node(z0, z1), 0) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), 0, s(0))) COUNT(empty, 0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), 0, s(0))) COUNT(node(z0, z1), 0) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), 0, s(0))) COUNT(empty, 0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), 0, s(0))) COUNT(node(z0, z1), 0) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), 0, s(0))) COUNT(empty, 0) -> c8(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), 0, s(0))) COUNT(node(z0, z1), 0) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), 0, s(0))) COUNT(node(z0, z1), 0) -> c8(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), 0, s(0))) COUNT(x0, s(0)) -> c8(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(0), s(s(0)))) COUNT(x0, s(s(z0))) -> c8(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(s(z0)), s(s(inc(z0))))) COUNT(empty, s(x1)) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), s(x1), s(inc(x1)))) COUNT(node(z0, z1), s(x1)) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), s(x1), s(inc(x1)))) COUNT(empty, s(x1)) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), s(x1), s(inc(x1)))) COUNT(node(z0, z1), s(x1)) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), s(x1), s(inc(x1)))) COUNT(empty, s(x1)) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), s(x1), s(inc(x1)))) COUNT(node(z0, z1), s(x1)) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1)))) COUNT(empty, s(x1)) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), s(x1), s(inc(x1)))) COUNT(node(z0, z1), s(x1)) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1)))) COUNT(empty, s(x1)) -> c8(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), s(x1), s(inc(x1)))) COUNT(node(z0, z1), s(x1)) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1)))) COUNT(node(z0, z1), s(x1)) -> c8(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1)))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), empty)), x0, inc(x0))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), empty)), x0, inc(x0))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), empty)), x0, inc(x0))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x0, inc(x0))) COUNT(node(z0, z1), x2) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), z1)), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), z1)), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c8(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x2, inc(x2))) S tuples: INC(s(z0)) -> c7(INC(z0)) IF(false, false, z0, z1, z2, z3) -> c16(COUNT(z1, z2)) IF(false, true, z0, z1, z2, z3) -> c17(COUNT(z0, z3)) COUNT(empty, x1) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c8(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c8(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, 0) -> c9(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(x0, s(z0)) -> c9(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0)))) COUNT(empty, x1) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1))) COUNT(empty, x1) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c9(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c9(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, 0) -> c10(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(x0, s(z0)) -> c10(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0)))) COUNT(empty, x1) -> c10(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1))) COUNT(empty, x1) -> c10(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c10(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c10(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c10(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, 0) -> c11(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(x0, s(z0)) -> c11(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0)))) COUNT(empty, x1) -> c11(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1))) COUNT(empty, x1) -> c11(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c11(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c11(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c11(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, 0) -> c12(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(x0, s(z0)) -> c12(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0)))) COUNT(empty, x1) -> c12(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1))) COUNT(empty, x1) -> c12(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c12(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c12(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c12(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, 0) -> c13(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(x0, s(z0)) -> c13(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0)))) COUNT(empty, x1) -> c13(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1))) COUNT(empty, x1) -> c13(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c13(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c13(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c13(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, s(0)) -> c14(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(0), s(s(0))), INC(s(0))) COUNT(x0, s(s(z0))) -> c14(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(s(z0)), s(s(inc(z0)))), INC(s(s(z0)))) COUNT(empty, s(x1)) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), s(x1), s(inc(x1))), INC(s(x1))) COUNT(empty, s(x1)) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(empty, s(x1)) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(empty, s(x1)) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(empty, s(x1)) -> c14(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), empty)), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), empty)), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), empty)), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x0, inc(x0)), INC(x0)) COUNT(empty, 0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), 0, s(0))) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), z1)), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), z1)), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x2, inc(x2)), INC(x2)) COUNT(node(x0, x1), 0) -> c14(IF(isEmpty(node(x0, x1)), isEmpty(left(node(x0, x1))), right(node(x0, x1)), node(left(left(node(x0, x1))), node(right(left(node(x0, x1))), x1)), 0, s(0))) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(empty, right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(empty), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(empty), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, 0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), 0, s(0))) COUNT(node(node(z0, z1), x1), x2) -> c14(IF(isEmpty(node(node(z0, z1), x1)), isEmpty(left(node(node(z0, z1), x1))), right(node(node(z0, z1), x1)), node(left(left(node(node(z0, z1), x1))), node(z1, right(node(node(z0, z1), x1)))), x2, inc(x2)), INC(x2)) COUNT(node(empty, x1), x2) -> c14(IF(isEmpty(node(empty, x1)), isEmpty(left(node(empty, x1))), right(node(empty, x1)), node(left(left(node(empty, x1))), node(empty, right(node(empty, x1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(z0), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(x0, x1), 0) -> c14(IF(isEmpty(node(x0, x1)), isEmpty(left(node(x0, x1))), right(node(x0, x1)), node(left(left(node(x0, x1))), node(right(x0), right(node(x0, x1)))), 0, s(0))) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(empty, node(right(left(empty)), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(empty), node(right(left(empty)), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, 0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), 0, s(0))) COUNT(node(node(z0, z1), x1), x2) -> c14(IF(isEmpty(node(node(z0, z1), x1)), isEmpty(left(node(node(z0, z1), x1))), right(node(node(z0, z1), x1)), node(z0, node(right(left(node(node(z0, z1), x1))), right(node(node(z0, z1), x1)))), x2, inc(x2)), INC(x2)) COUNT(node(empty, x1), x2) -> c14(IF(isEmpty(node(empty, x1)), isEmpty(left(node(empty, x1))), right(node(empty, x1)), node(empty, node(right(left(node(empty, x1))), right(node(empty, x1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(x0, x1), 0) -> c14(IF(isEmpty(node(x0, x1)), isEmpty(left(node(x0, x1))), right(node(x0, x1)), node(left(x0), node(right(left(node(x0, x1))), right(node(x0, x1)))), 0, s(0))) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(empty), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, 0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), 0, s(0))) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(z0), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(false, isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(x0, x1), 0) -> c14(IF(isEmpty(node(x0, x1)), isEmpty(left(node(x0, x1))), x1, node(left(left(node(x0, x1))), node(right(left(node(x0, x1))), right(node(x0, x1)))), 0, s(0))) COUNT(empty, x0) -> c14(IF(isEmpty(empty), true, right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, 0) -> c14(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), 0, s(0))) COUNT(node(node(z0, z1), x1), x2) -> c14(IF(isEmpty(node(node(z0, z1), x1)), false, right(node(node(z0, z1), x1)), node(left(left(node(node(z0, z1), x1))), node(right(left(node(node(z0, z1), x1))), right(node(node(z0, z1), x1)))), x2, inc(x2)), INC(x2)) COUNT(node(empty, x1), x2) -> c14(IF(isEmpty(node(empty, x1)), true, right(node(empty, x1)), node(left(left(node(empty, x1))), node(right(left(node(empty, x1))), right(node(empty, x1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(false, isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(x0, x1), 0) -> c14(IF(isEmpty(node(x0, x1)), isEmpty(x0), right(node(x0, x1)), node(left(left(node(x0, x1))), node(right(left(node(x0, x1))), right(node(x0, x1)))), 0, s(0))) COUNT(node(x0, x1), 0) -> c14(IF(false, isEmpty(left(node(x0, x1))), right(node(x0, x1)), node(left(left(node(x0, x1))), node(right(left(node(x0, x1))), right(node(x0, x1)))), 0, s(0))) COUNT(empty, 0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), 0, s(0))) COUNT(node(z0, z1), 0) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), 0, s(0))) COUNT(empty, 0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), 0, s(0))) COUNT(node(z0, z1), 0) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), 0, s(0))) COUNT(empty, 0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), 0, s(0))) COUNT(node(z0, z1), 0) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), 0, s(0))) COUNT(empty, 0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), 0, s(0))) COUNT(node(z0, z1), 0) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), 0, s(0))) COUNT(empty, 0) -> c8(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), 0, s(0))) COUNT(node(z0, z1), 0) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), 0, s(0))) COUNT(node(z0, z1), 0) -> c8(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), 0, s(0))) COUNT(x0, s(0)) -> c8(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(0), s(s(0)))) COUNT(x0, s(s(z0))) -> c8(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(s(z0)), s(s(inc(z0))))) COUNT(empty, s(x1)) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), s(x1), s(inc(x1)))) COUNT(node(z0, z1), s(x1)) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), s(x1), s(inc(x1)))) COUNT(empty, s(x1)) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), s(x1), s(inc(x1)))) COUNT(node(z0, z1), s(x1)) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), s(x1), s(inc(x1)))) COUNT(empty, s(x1)) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), s(x1), s(inc(x1)))) COUNT(node(z0, z1), s(x1)) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1)))) COUNT(empty, s(x1)) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), s(x1), s(inc(x1)))) COUNT(node(z0, z1), s(x1)) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1)))) COUNT(empty, s(x1)) -> c8(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), s(x1), s(inc(x1)))) COUNT(node(z0, z1), s(x1)) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1)))) COUNT(node(z0, z1), s(x1)) -> c8(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1)))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), empty)), x0, inc(x0))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), empty)), x0, inc(x0))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), empty)), x0, inc(x0))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x0, inc(x0))) COUNT(node(z0, z1), x2) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), z1)), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), z1)), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c8(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x2, inc(x2))) K tuples: COUNT(empty, x1) -> c14(INC(x1)) COUNT(x0, s(x1)) -> c14(INC(s(x1))) COUNT(empty, s(x1)) -> c14(INC(s(x1))) Defined Rule Symbols: isEmpty_1, left_1, right_1, inc_1 Defined Pair Symbols: INC_1, IF_6, COUNT_2 Compound Symbols: c7_1, c16_1, c17_1, c14_1, c8_1, c9_1, c10_1, c11_1, c12_1, c13_1, c14_2 ---------------------------------------- (171) CdtNarrowingProof (BOTH BOUNDS(ID, ID)) Use narrowing to replace COUNT(empty, x1) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1))) by COUNT(empty, 0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), 0, s(0))) COUNT(empty, s(z0)) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), s(z0), s(inc(z0)))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), empty)), x0, inc(x0))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(empty, right(empty))), x0, inc(x0))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(empty), right(empty))), x0, inc(x0))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(empty), right(empty))), x0, inc(x0))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x0, inc(x0))) COUNT(empty, x0) -> c8(IF(true, isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x0, inc(x0))) ---------------------------------------- (172) Obligation: Complexity Dependency Tuples Problem Rules: isEmpty(empty) -> true isEmpty(node(z0, z1)) -> false left(empty) -> empty left(node(z0, z1)) -> z0 right(empty) -> empty right(node(z0, z1)) -> z1 inc(0) -> s(0) inc(s(z0)) -> s(inc(z0)) Tuples: INC(s(z0)) -> c7(INC(z0)) IF(false, false, z0, z1, z2, z3) -> c16(COUNT(z1, z2)) IF(false, true, z0, z1, z2, z3) -> c17(COUNT(z0, z3)) COUNT(empty, x1) -> c14(INC(x1)) COUNT(node(z0, z1), x1) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c8(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c8(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, 0) -> c9(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(x0, s(z0)) -> c9(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0)))) COUNT(empty, x1) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1))) COUNT(empty, x1) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c9(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c9(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, 0) -> c10(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(x0, s(z0)) -> c10(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0)))) COUNT(empty, x1) -> c10(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1))) COUNT(empty, x1) -> c10(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c10(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c10(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c10(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, 0) -> c11(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(x0, s(z0)) -> c11(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0)))) COUNT(empty, x1) -> c11(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1))) COUNT(empty, x1) -> c11(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c11(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c11(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c11(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, 0) -> c12(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(x0, s(z0)) -> c12(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0)))) COUNT(empty, x1) -> c12(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1))) COUNT(empty, x1) -> c12(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c12(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c12(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c12(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, 0) -> c13(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(x0, s(z0)) -> c13(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0)))) COUNT(empty, x1) -> c13(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1))) COUNT(empty, x1) -> c13(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c13(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c13(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c13(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, s(0)) -> c14(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(0), s(s(0))), INC(s(0))) COUNT(x0, s(s(z0))) -> c14(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(s(z0)), s(s(inc(z0)))), INC(s(s(z0)))) COUNT(empty, s(x1)) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), s(x1), s(inc(x1))), INC(s(x1))) COUNT(empty, s(x1)) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(empty, s(x1)) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(empty, s(x1)) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(empty, s(x1)) -> c14(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(x0, s(x1)) -> c14(INC(s(x1))) COUNT(empty, s(x1)) -> c14(INC(s(x1))) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), empty)), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), empty)), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), empty)), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x0, inc(x0)), INC(x0)) COUNT(empty, 0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), 0, s(0))) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), z1)), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), z1)), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x2, inc(x2)), INC(x2)) COUNT(node(x0, x1), 0) -> c14(IF(isEmpty(node(x0, x1)), isEmpty(left(node(x0, x1))), right(node(x0, x1)), node(left(left(node(x0, x1))), node(right(left(node(x0, x1))), x1)), 0, s(0))) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(empty, right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(empty), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(empty), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, 0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), 0, s(0))) COUNT(node(node(z0, z1), x1), x2) -> c14(IF(isEmpty(node(node(z0, z1), x1)), isEmpty(left(node(node(z0, z1), x1))), right(node(node(z0, z1), x1)), node(left(left(node(node(z0, z1), x1))), node(z1, right(node(node(z0, z1), x1)))), x2, inc(x2)), INC(x2)) COUNT(node(empty, x1), x2) -> c14(IF(isEmpty(node(empty, x1)), isEmpty(left(node(empty, x1))), right(node(empty, x1)), node(left(left(node(empty, x1))), node(empty, right(node(empty, x1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(z0), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(x0, x1), 0) -> c14(IF(isEmpty(node(x0, x1)), isEmpty(left(node(x0, x1))), right(node(x0, x1)), node(left(left(node(x0, x1))), node(right(x0), right(node(x0, x1)))), 0, s(0))) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(empty, node(right(left(empty)), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(empty), node(right(left(empty)), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, 0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), 0, s(0))) COUNT(node(node(z0, z1), x1), x2) -> c14(IF(isEmpty(node(node(z0, z1), x1)), isEmpty(left(node(node(z0, z1), x1))), right(node(node(z0, z1), x1)), node(z0, node(right(left(node(node(z0, z1), x1))), right(node(node(z0, z1), x1)))), x2, inc(x2)), INC(x2)) COUNT(node(empty, x1), x2) -> c14(IF(isEmpty(node(empty, x1)), isEmpty(left(node(empty, x1))), right(node(empty, x1)), node(empty, node(right(left(node(empty, x1))), right(node(empty, x1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(x0, x1), 0) -> c14(IF(isEmpty(node(x0, x1)), isEmpty(left(node(x0, x1))), right(node(x0, x1)), node(left(x0), node(right(left(node(x0, x1))), right(node(x0, x1)))), 0, s(0))) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(empty), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, 0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), 0, s(0))) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(z0), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(false, isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(x0, x1), 0) -> c14(IF(isEmpty(node(x0, x1)), isEmpty(left(node(x0, x1))), x1, node(left(left(node(x0, x1))), node(right(left(node(x0, x1))), right(node(x0, x1)))), 0, s(0))) COUNT(empty, x0) -> c14(IF(isEmpty(empty), true, right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, 0) -> c14(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), 0, s(0))) COUNT(node(node(z0, z1), x1), x2) -> c14(IF(isEmpty(node(node(z0, z1), x1)), false, right(node(node(z0, z1), x1)), node(left(left(node(node(z0, z1), x1))), node(right(left(node(node(z0, z1), x1))), right(node(node(z0, z1), x1)))), x2, inc(x2)), INC(x2)) COUNT(node(empty, x1), x2) -> c14(IF(isEmpty(node(empty, x1)), true, right(node(empty, x1)), node(left(left(node(empty, x1))), node(right(left(node(empty, x1))), right(node(empty, x1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(false, isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(x0, x1), 0) -> c14(IF(isEmpty(node(x0, x1)), isEmpty(x0), right(node(x0, x1)), node(left(left(node(x0, x1))), node(right(left(node(x0, x1))), right(node(x0, x1)))), 0, s(0))) COUNT(node(x0, x1), 0) -> c14(IF(false, isEmpty(left(node(x0, x1))), right(node(x0, x1)), node(left(left(node(x0, x1))), node(right(left(node(x0, x1))), right(node(x0, x1)))), 0, s(0))) COUNT(empty, 0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), 0, s(0))) COUNT(node(z0, z1), 0) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), 0, s(0))) COUNT(empty, 0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), 0, s(0))) COUNT(node(z0, z1), 0) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), 0, s(0))) COUNT(empty, 0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), 0, s(0))) COUNT(node(z0, z1), 0) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), 0, s(0))) COUNT(empty, 0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), 0, s(0))) COUNT(node(z0, z1), 0) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), 0, s(0))) COUNT(empty, 0) -> c8(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), 0, s(0))) COUNT(node(z0, z1), 0) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), 0, s(0))) COUNT(node(z0, z1), 0) -> c8(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), 0, s(0))) COUNT(x0, s(0)) -> c8(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(0), s(s(0)))) COUNT(x0, s(s(z0))) -> c8(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(s(z0)), s(s(inc(z0))))) COUNT(empty, s(x1)) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), s(x1), s(inc(x1)))) COUNT(node(z0, z1), s(x1)) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), s(x1), s(inc(x1)))) COUNT(empty, s(x1)) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), s(x1), s(inc(x1)))) COUNT(node(z0, z1), s(x1)) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), s(x1), s(inc(x1)))) COUNT(empty, s(x1)) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), s(x1), s(inc(x1)))) COUNT(node(z0, z1), s(x1)) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1)))) COUNT(empty, s(x1)) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), s(x1), s(inc(x1)))) COUNT(node(z0, z1), s(x1)) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1)))) COUNT(empty, s(x1)) -> c8(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), s(x1), s(inc(x1)))) COUNT(node(z0, z1), s(x1)) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1)))) COUNT(node(z0, z1), s(x1)) -> c8(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1)))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), empty)), x0, inc(x0))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), empty)), x0, inc(x0))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), empty)), x0, inc(x0))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x0, inc(x0))) COUNT(node(z0, z1), x2) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), z1)), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), z1)), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c8(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x2, inc(x2))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(empty, right(empty))), x0, inc(x0))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(empty), right(empty))), x0, inc(x0))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(empty), right(empty))), x0, inc(x0))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x0, inc(x0))) COUNT(empty, x0) -> c8(IF(true, isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x0, inc(x0))) S tuples: INC(s(z0)) -> c7(INC(z0)) IF(false, false, z0, z1, z2, z3) -> c16(COUNT(z1, z2)) IF(false, true, z0, z1, z2, z3) -> c17(COUNT(z0, z3)) COUNT(node(z0, z1), x1) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c8(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c8(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, 0) -> c9(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(x0, s(z0)) -> c9(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0)))) COUNT(empty, x1) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1))) COUNT(empty, x1) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c9(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c9(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, 0) -> c10(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(x0, s(z0)) -> c10(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0)))) COUNT(empty, x1) -> c10(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1))) COUNT(empty, x1) -> c10(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c10(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c10(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c10(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, 0) -> c11(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(x0, s(z0)) -> c11(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0)))) COUNT(empty, x1) -> c11(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1))) COUNT(empty, x1) -> c11(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c11(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c11(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c11(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, 0) -> c12(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(x0, s(z0)) -> c12(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0)))) COUNT(empty, x1) -> c12(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1))) COUNT(empty, x1) -> c12(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c12(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c12(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c12(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, 0) -> c13(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(x0, s(z0)) -> c13(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0)))) COUNT(empty, x1) -> c13(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1))) COUNT(empty, x1) -> c13(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c13(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c13(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c13(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, s(0)) -> c14(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(0), s(s(0))), INC(s(0))) COUNT(x0, s(s(z0))) -> c14(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(s(z0)), s(s(inc(z0)))), INC(s(s(z0)))) COUNT(empty, s(x1)) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), s(x1), s(inc(x1))), INC(s(x1))) COUNT(empty, s(x1)) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(empty, s(x1)) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(empty, s(x1)) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(empty, s(x1)) -> c14(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), empty)), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), empty)), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), empty)), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x0, inc(x0)), INC(x0)) COUNT(empty, 0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), 0, s(0))) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), z1)), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), z1)), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x2, inc(x2)), INC(x2)) COUNT(node(x0, x1), 0) -> c14(IF(isEmpty(node(x0, x1)), isEmpty(left(node(x0, x1))), right(node(x0, x1)), node(left(left(node(x0, x1))), node(right(left(node(x0, x1))), x1)), 0, s(0))) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(empty, right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(empty), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(empty), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, 0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), 0, s(0))) COUNT(node(node(z0, z1), x1), x2) -> c14(IF(isEmpty(node(node(z0, z1), x1)), isEmpty(left(node(node(z0, z1), x1))), right(node(node(z0, z1), x1)), node(left(left(node(node(z0, z1), x1))), node(z1, right(node(node(z0, z1), x1)))), x2, inc(x2)), INC(x2)) COUNT(node(empty, x1), x2) -> c14(IF(isEmpty(node(empty, x1)), isEmpty(left(node(empty, x1))), right(node(empty, x1)), node(left(left(node(empty, x1))), node(empty, right(node(empty, x1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(z0), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(x0, x1), 0) -> c14(IF(isEmpty(node(x0, x1)), isEmpty(left(node(x0, x1))), right(node(x0, x1)), node(left(left(node(x0, x1))), node(right(x0), right(node(x0, x1)))), 0, s(0))) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(empty, node(right(left(empty)), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(empty), node(right(left(empty)), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, 0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), 0, s(0))) COUNT(node(node(z0, z1), x1), x2) -> c14(IF(isEmpty(node(node(z0, z1), x1)), isEmpty(left(node(node(z0, z1), x1))), right(node(node(z0, z1), x1)), node(z0, node(right(left(node(node(z0, z1), x1))), right(node(node(z0, z1), x1)))), x2, inc(x2)), INC(x2)) COUNT(node(empty, x1), x2) -> c14(IF(isEmpty(node(empty, x1)), isEmpty(left(node(empty, x1))), right(node(empty, x1)), node(empty, node(right(left(node(empty, x1))), right(node(empty, x1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(x0, x1), 0) -> c14(IF(isEmpty(node(x0, x1)), isEmpty(left(node(x0, x1))), right(node(x0, x1)), node(left(x0), node(right(left(node(x0, x1))), right(node(x0, x1)))), 0, s(0))) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(empty), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, 0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), 0, s(0))) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(z0), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(false, isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(x0, x1), 0) -> c14(IF(isEmpty(node(x0, x1)), isEmpty(left(node(x0, x1))), x1, node(left(left(node(x0, x1))), node(right(left(node(x0, x1))), right(node(x0, x1)))), 0, s(0))) COUNT(empty, x0) -> c14(IF(isEmpty(empty), true, right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, 0) -> c14(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), 0, s(0))) COUNT(node(node(z0, z1), x1), x2) -> c14(IF(isEmpty(node(node(z0, z1), x1)), false, right(node(node(z0, z1), x1)), node(left(left(node(node(z0, z1), x1))), node(right(left(node(node(z0, z1), x1))), right(node(node(z0, z1), x1)))), x2, inc(x2)), INC(x2)) COUNT(node(empty, x1), x2) -> c14(IF(isEmpty(node(empty, x1)), true, right(node(empty, x1)), node(left(left(node(empty, x1))), node(right(left(node(empty, x1))), right(node(empty, x1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(false, isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(x0, x1), 0) -> c14(IF(isEmpty(node(x0, x1)), isEmpty(x0), right(node(x0, x1)), node(left(left(node(x0, x1))), node(right(left(node(x0, x1))), right(node(x0, x1)))), 0, s(0))) COUNT(node(x0, x1), 0) -> c14(IF(false, isEmpty(left(node(x0, x1))), right(node(x0, x1)), node(left(left(node(x0, x1))), node(right(left(node(x0, x1))), right(node(x0, x1)))), 0, s(0))) COUNT(empty, 0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), 0, s(0))) COUNT(node(z0, z1), 0) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), 0, s(0))) COUNT(empty, 0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), 0, s(0))) COUNT(node(z0, z1), 0) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), 0, s(0))) COUNT(empty, 0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), 0, s(0))) COUNT(node(z0, z1), 0) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), 0, s(0))) COUNT(empty, 0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), 0, s(0))) COUNT(node(z0, z1), 0) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), 0, s(0))) COUNT(empty, 0) -> c8(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), 0, s(0))) COUNT(node(z0, z1), 0) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), 0, s(0))) COUNT(node(z0, z1), 0) -> c8(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), 0, s(0))) COUNT(x0, s(0)) -> c8(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(0), s(s(0)))) COUNT(x0, s(s(z0))) -> c8(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(s(z0)), s(s(inc(z0))))) COUNT(empty, s(x1)) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), s(x1), s(inc(x1)))) COUNT(node(z0, z1), s(x1)) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), s(x1), s(inc(x1)))) COUNT(empty, s(x1)) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), s(x1), s(inc(x1)))) COUNT(node(z0, z1), s(x1)) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), s(x1), s(inc(x1)))) COUNT(empty, s(x1)) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), s(x1), s(inc(x1)))) COUNT(node(z0, z1), s(x1)) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1)))) COUNT(empty, s(x1)) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), s(x1), s(inc(x1)))) COUNT(node(z0, z1), s(x1)) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1)))) COUNT(empty, s(x1)) -> c8(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), s(x1), s(inc(x1)))) COUNT(node(z0, z1), s(x1)) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1)))) COUNT(node(z0, z1), s(x1)) -> c8(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1)))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), empty)), x0, inc(x0))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), empty)), x0, inc(x0))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), empty)), x0, inc(x0))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x0, inc(x0))) COUNT(node(z0, z1), x2) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), z1)), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), z1)), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c8(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x2, inc(x2))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(empty, right(empty))), x0, inc(x0))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(empty), right(empty))), x0, inc(x0))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(empty), right(empty))), x0, inc(x0))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x0, inc(x0))) COUNT(empty, x0) -> c8(IF(true, isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x0, inc(x0))) K tuples: COUNT(empty, x1) -> c14(INC(x1)) COUNT(x0, s(x1)) -> c14(INC(s(x1))) COUNT(empty, s(x1)) -> c14(INC(s(x1))) Defined Rule Symbols: isEmpty_1, left_1, right_1, inc_1 Defined Pair Symbols: INC_1, IF_6, COUNT_2 Compound Symbols: c7_1, c16_1, c17_1, c14_1, c8_1, c9_1, c10_1, c11_1, c12_1, c13_1, c14_2 ---------------------------------------- (173) CdtLeafRemovalProof (BOTH BOUNDS(ID, ID)) Removed 1 trailing nodes: COUNT(empty, x0) -> c8(IF(true, isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x0, inc(x0))) ---------------------------------------- (174) Obligation: Complexity Dependency Tuples Problem Rules: isEmpty(empty) -> true isEmpty(node(z0, z1)) -> false left(empty) -> empty left(node(z0, z1)) -> z0 right(empty) -> empty right(node(z0, z1)) -> z1 inc(0) -> s(0) inc(s(z0)) -> s(inc(z0)) Tuples: INC(s(z0)) -> c7(INC(z0)) IF(false, false, z0, z1, z2, z3) -> c16(COUNT(z1, z2)) IF(false, true, z0, z1, z2, z3) -> c17(COUNT(z0, z3)) COUNT(empty, x1) -> c14(INC(x1)) COUNT(node(z0, z1), x1) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c8(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c8(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, 0) -> c9(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(x0, s(z0)) -> c9(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0)))) COUNT(empty, x1) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1))) COUNT(empty, x1) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c9(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c9(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, 0) -> c10(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(x0, s(z0)) -> c10(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0)))) COUNT(empty, x1) -> c10(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1))) COUNT(empty, x1) -> c10(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c10(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c10(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c10(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, 0) -> c11(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(x0, s(z0)) -> c11(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0)))) COUNT(empty, x1) -> c11(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1))) COUNT(empty, x1) -> c11(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c11(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c11(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c11(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, 0) -> c12(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(x0, s(z0)) -> c12(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0)))) COUNT(empty, x1) -> c12(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1))) COUNT(empty, x1) -> c12(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c12(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c12(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c12(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, 0) -> c13(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(x0, s(z0)) -> c13(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0)))) COUNT(empty, x1) -> c13(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1))) COUNT(empty, x1) -> c13(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c13(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c13(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c13(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, s(0)) -> c14(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(0), s(s(0))), INC(s(0))) COUNT(x0, s(s(z0))) -> c14(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(s(z0)), s(s(inc(z0)))), INC(s(s(z0)))) COUNT(empty, s(x1)) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), s(x1), s(inc(x1))), INC(s(x1))) COUNT(empty, s(x1)) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(empty, s(x1)) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(empty, s(x1)) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(empty, s(x1)) -> c14(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(x0, s(x1)) -> c14(INC(s(x1))) COUNT(empty, s(x1)) -> c14(INC(s(x1))) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), empty)), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), empty)), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), empty)), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x0, inc(x0)), INC(x0)) COUNT(empty, 0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), 0, s(0))) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), z1)), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), z1)), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x2, inc(x2)), INC(x2)) COUNT(node(x0, x1), 0) -> c14(IF(isEmpty(node(x0, x1)), isEmpty(left(node(x0, x1))), right(node(x0, x1)), node(left(left(node(x0, x1))), node(right(left(node(x0, x1))), x1)), 0, s(0))) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(empty, right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(empty), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(empty), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, 0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), 0, s(0))) COUNT(node(node(z0, z1), x1), x2) -> c14(IF(isEmpty(node(node(z0, z1), x1)), isEmpty(left(node(node(z0, z1), x1))), right(node(node(z0, z1), x1)), node(left(left(node(node(z0, z1), x1))), node(z1, right(node(node(z0, z1), x1)))), x2, inc(x2)), INC(x2)) COUNT(node(empty, x1), x2) -> c14(IF(isEmpty(node(empty, x1)), isEmpty(left(node(empty, x1))), right(node(empty, x1)), node(left(left(node(empty, x1))), node(empty, right(node(empty, x1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(z0), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(x0, x1), 0) -> c14(IF(isEmpty(node(x0, x1)), isEmpty(left(node(x0, x1))), right(node(x0, x1)), node(left(left(node(x0, x1))), node(right(x0), right(node(x0, x1)))), 0, s(0))) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(empty, node(right(left(empty)), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(empty), node(right(left(empty)), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, 0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), 0, s(0))) COUNT(node(node(z0, z1), x1), x2) -> c14(IF(isEmpty(node(node(z0, z1), x1)), isEmpty(left(node(node(z0, z1), x1))), right(node(node(z0, z1), x1)), node(z0, node(right(left(node(node(z0, z1), x1))), right(node(node(z0, z1), x1)))), x2, inc(x2)), INC(x2)) COUNT(node(empty, x1), x2) -> c14(IF(isEmpty(node(empty, x1)), isEmpty(left(node(empty, x1))), right(node(empty, x1)), node(empty, node(right(left(node(empty, x1))), right(node(empty, x1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(x0, x1), 0) -> c14(IF(isEmpty(node(x0, x1)), isEmpty(left(node(x0, x1))), right(node(x0, x1)), node(left(x0), node(right(left(node(x0, x1))), right(node(x0, x1)))), 0, s(0))) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(empty), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, 0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), 0, s(0))) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(z0), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(false, isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(x0, x1), 0) -> c14(IF(isEmpty(node(x0, x1)), isEmpty(left(node(x0, x1))), x1, node(left(left(node(x0, x1))), node(right(left(node(x0, x1))), right(node(x0, x1)))), 0, s(0))) COUNT(empty, x0) -> c14(IF(isEmpty(empty), true, right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, 0) -> c14(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), 0, s(0))) COUNT(node(node(z0, z1), x1), x2) -> c14(IF(isEmpty(node(node(z0, z1), x1)), false, right(node(node(z0, z1), x1)), node(left(left(node(node(z0, z1), x1))), node(right(left(node(node(z0, z1), x1))), right(node(node(z0, z1), x1)))), x2, inc(x2)), INC(x2)) COUNT(node(empty, x1), x2) -> c14(IF(isEmpty(node(empty, x1)), true, right(node(empty, x1)), node(left(left(node(empty, x1))), node(right(left(node(empty, x1))), right(node(empty, x1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(false, isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(x0, x1), 0) -> c14(IF(isEmpty(node(x0, x1)), isEmpty(x0), right(node(x0, x1)), node(left(left(node(x0, x1))), node(right(left(node(x0, x1))), right(node(x0, x1)))), 0, s(0))) COUNT(node(x0, x1), 0) -> c14(IF(false, isEmpty(left(node(x0, x1))), right(node(x0, x1)), node(left(left(node(x0, x1))), node(right(left(node(x0, x1))), right(node(x0, x1)))), 0, s(0))) COUNT(empty, 0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), 0, s(0))) COUNT(node(z0, z1), 0) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), 0, s(0))) COUNT(empty, 0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), 0, s(0))) COUNT(node(z0, z1), 0) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), 0, s(0))) COUNT(empty, 0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), 0, s(0))) COUNT(node(z0, z1), 0) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), 0, s(0))) COUNT(empty, 0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), 0, s(0))) COUNT(node(z0, z1), 0) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), 0, s(0))) COUNT(empty, 0) -> c8(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), 0, s(0))) COUNT(node(z0, z1), 0) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), 0, s(0))) COUNT(node(z0, z1), 0) -> c8(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), 0, s(0))) COUNT(x0, s(0)) -> c8(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(0), s(s(0)))) COUNT(x0, s(s(z0))) -> c8(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(s(z0)), s(s(inc(z0))))) COUNT(empty, s(x1)) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), s(x1), s(inc(x1)))) COUNT(node(z0, z1), s(x1)) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), s(x1), s(inc(x1)))) COUNT(empty, s(x1)) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), s(x1), s(inc(x1)))) COUNT(node(z0, z1), s(x1)) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), s(x1), s(inc(x1)))) COUNT(empty, s(x1)) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), s(x1), s(inc(x1)))) COUNT(node(z0, z1), s(x1)) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1)))) COUNT(empty, s(x1)) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), s(x1), s(inc(x1)))) COUNT(node(z0, z1), s(x1)) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1)))) COUNT(empty, s(x1)) -> c8(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), s(x1), s(inc(x1)))) COUNT(node(z0, z1), s(x1)) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1)))) COUNT(node(z0, z1), s(x1)) -> c8(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1)))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), empty)), x0, inc(x0))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), empty)), x0, inc(x0))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), empty)), x0, inc(x0))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x0, inc(x0))) COUNT(node(z0, z1), x2) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), z1)), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), z1)), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c8(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x2, inc(x2))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(empty, right(empty))), x0, inc(x0))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(empty), right(empty))), x0, inc(x0))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(empty), right(empty))), x0, inc(x0))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x0, inc(x0))) S tuples: INC(s(z0)) -> c7(INC(z0)) IF(false, false, z0, z1, z2, z3) -> c16(COUNT(z1, z2)) IF(false, true, z0, z1, z2, z3) -> c17(COUNT(z0, z3)) COUNT(node(z0, z1), x1) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c8(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c8(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, 0) -> c9(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(x0, s(z0)) -> c9(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0)))) COUNT(empty, x1) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1))) COUNT(empty, x1) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c9(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c9(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, 0) -> c10(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(x0, s(z0)) -> c10(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0)))) COUNT(empty, x1) -> c10(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1))) COUNT(empty, x1) -> c10(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c10(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c10(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c10(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, 0) -> c11(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(x0, s(z0)) -> c11(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0)))) COUNT(empty, x1) -> c11(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1))) COUNT(empty, x1) -> c11(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c11(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c11(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c11(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, 0) -> c12(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(x0, s(z0)) -> c12(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0)))) COUNT(empty, x1) -> c12(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1))) COUNT(empty, x1) -> c12(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c12(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c12(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c12(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, 0) -> c13(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(x0, s(z0)) -> c13(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0)))) COUNT(empty, x1) -> c13(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1))) COUNT(empty, x1) -> c13(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c13(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c13(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c13(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, s(0)) -> c14(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(0), s(s(0))), INC(s(0))) COUNT(x0, s(s(z0))) -> c14(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(s(z0)), s(s(inc(z0)))), INC(s(s(z0)))) COUNT(empty, s(x1)) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), s(x1), s(inc(x1))), INC(s(x1))) COUNT(empty, s(x1)) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(empty, s(x1)) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(empty, s(x1)) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(empty, s(x1)) -> c14(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), empty)), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), empty)), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), empty)), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x0, inc(x0)), INC(x0)) COUNT(empty, 0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), 0, s(0))) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), z1)), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), z1)), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x2, inc(x2)), INC(x2)) COUNT(node(x0, x1), 0) -> c14(IF(isEmpty(node(x0, x1)), isEmpty(left(node(x0, x1))), right(node(x0, x1)), node(left(left(node(x0, x1))), node(right(left(node(x0, x1))), x1)), 0, s(0))) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(empty, right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(empty), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(empty), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, 0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), 0, s(0))) COUNT(node(node(z0, z1), x1), x2) -> c14(IF(isEmpty(node(node(z0, z1), x1)), isEmpty(left(node(node(z0, z1), x1))), right(node(node(z0, z1), x1)), node(left(left(node(node(z0, z1), x1))), node(z1, right(node(node(z0, z1), x1)))), x2, inc(x2)), INC(x2)) COUNT(node(empty, x1), x2) -> c14(IF(isEmpty(node(empty, x1)), isEmpty(left(node(empty, x1))), right(node(empty, x1)), node(left(left(node(empty, x1))), node(empty, right(node(empty, x1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(z0), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(x0, x1), 0) -> c14(IF(isEmpty(node(x0, x1)), isEmpty(left(node(x0, x1))), right(node(x0, x1)), node(left(left(node(x0, x1))), node(right(x0), right(node(x0, x1)))), 0, s(0))) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(empty, node(right(left(empty)), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(empty), node(right(left(empty)), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, 0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), 0, s(0))) COUNT(node(node(z0, z1), x1), x2) -> c14(IF(isEmpty(node(node(z0, z1), x1)), isEmpty(left(node(node(z0, z1), x1))), right(node(node(z0, z1), x1)), node(z0, node(right(left(node(node(z0, z1), x1))), right(node(node(z0, z1), x1)))), x2, inc(x2)), INC(x2)) COUNT(node(empty, x1), x2) -> c14(IF(isEmpty(node(empty, x1)), isEmpty(left(node(empty, x1))), right(node(empty, x1)), node(empty, node(right(left(node(empty, x1))), right(node(empty, x1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(x0, x1), 0) -> c14(IF(isEmpty(node(x0, x1)), isEmpty(left(node(x0, x1))), right(node(x0, x1)), node(left(x0), node(right(left(node(x0, x1))), right(node(x0, x1)))), 0, s(0))) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(empty), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, 0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), 0, s(0))) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(z0), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(false, isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(x0, x1), 0) -> c14(IF(isEmpty(node(x0, x1)), isEmpty(left(node(x0, x1))), x1, node(left(left(node(x0, x1))), node(right(left(node(x0, x1))), right(node(x0, x1)))), 0, s(0))) COUNT(empty, x0) -> c14(IF(isEmpty(empty), true, right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, 0) -> c14(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), 0, s(0))) COUNT(node(node(z0, z1), x1), x2) -> c14(IF(isEmpty(node(node(z0, z1), x1)), false, right(node(node(z0, z1), x1)), node(left(left(node(node(z0, z1), x1))), node(right(left(node(node(z0, z1), x1))), right(node(node(z0, z1), x1)))), x2, inc(x2)), INC(x2)) COUNT(node(empty, x1), x2) -> c14(IF(isEmpty(node(empty, x1)), true, right(node(empty, x1)), node(left(left(node(empty, x1))), node(right(left(node(empty, x1))), right(node(empty, x1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(false, isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(x0, x1), 0) -> c14(IF(isEmpty(node(x0, x1)), isEmpty(x0), right(node(x0, x1)), node(left(left(node(x0, x1))), node(right(left(node(x0, x1))), right(node(x0, x1)))), 0, s(0))) COUNT(node(x0, x1), 0) -> c14(IF(false, isEmpty(left(node(x0, x1))), right(node(x0, x1)), node(left(left(node(x0, x1))), node(right(left(node(x0, x1))), right(node(x0, x1)))), 0, s(0))) COUNT(empty, 0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), 0, s(0))) COUNT(node(z0, z1), 0) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), 0, s(0))) COUNT(empty, 0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), 0, s(0))) COUNT(node(z0, z1), 0) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), 0, s(0))) COUNT(empty, 0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), 0, s(0))) COUNT(node(z0, z1), 0) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), 0, s(0))) COUNT(empty, 0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), 0, s(0))) COUNT(node(z0, z1), 0) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), 0, s(0))) COUNT(empty, 0) -> c8(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), 0, s(0))) COUNT(node(z0, z1), 0) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), 0, s(0))) COUNT(node(z0, z1), 0) -> c8(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), 0, s(0))) COUNT(x0, s(0)) -> c8(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(0), s(s(0)))) COUNT(x0, s(s(z0))) -> c8(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(s(z0)), s(s(inc(z0))))) COUNT(empty, s(x1)) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), s(x1), s(inc(x1)))) COUNT(node(z0, z1), s(x1)) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), s(x1), s(inc(x1)))) COUNT(empty, s(x1)) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), s(x1), s(inc(x1)))) COUNT(node(z0, z1), s(x1)) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), s(x1), s(inc(x1)))) COUNT(empty, s(x1)) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), s(x1), s(inc(x1)))) COUNT(node(z0, z1), s(x1)) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1)))) COUNT(empty, s(x1)) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), s(x1), s(inc(x1)))) COUNT(node(z0, z1), s(x1)) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1)))) COUNT(empty, s(x1)) -> c8(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), s(x1), s(inc(x1)))) COUNT(node(z0, z1), s(x1)) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1)))) COUNT(node(z0, z1), s(x1)) -> c8(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1)))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), empty)), x0, inc(x0))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), empty)), x0, inc(x0))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), empty)), x0, inc(x0))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x0, inc(x0))) COUNT(node(z0, z1), x2) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), z1)), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), z1)), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c8(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x2, inc(x2))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(empty, right(empty))), x0, inc(x0))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(empty), right(empty))), x0, inc(x0))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(empty), right(empty))), x0, inc(x0))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x0, inc(x0))) K tuples: COUNT(empty, x1) -> c14(INC(x1)) COUNT(x0, s(x1)) -> c14(INC(s(x1))) COUNT(empty, s(x1)) -> c14(INC(s(x1))) Defined Rule Symbols: isEmpty_1, left_1, right_1, inc_1 Defined Pair Symbols: INC_1, IF_6, COUNT_2 Compound Symbols: c7_1, c16_1, c17_1, c14_1, c8_1, c9_1, c10_1, c11_1, c12_1, c13_1, c14_2 ---------------------------------------- (175) CdtNarrowingProof (BOTH BOUNDS(ID, ID)) Use narrowing to replace COUNT(node(z0, z1), x1) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1))) by COUNT(node(x0, x1), 0) -> c8(IF(isEmpty(node(x0, x1)), isEmpty(left(node(x0, x1))), right(node(x0, x1)), node(left(left(node(x0, x1))), node(right(x0), right(node(x0, x1)))), 0, s(0))) COUNT(node(x0, x1), s(z0)) -> c8(IF(isEmpty(node(x0, x1)), isEmpty(left(node(x0, x1))), right(node(x0, x1)), node(left(left(node(x0, x1))), node(right(x0), right(node(x0, x1)))), s(z0), s(inc(z0)))) COUNT(node(z0, z1), x2) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), z1)), x2, inc(x2))) COUNT(node(node(z0, z1), x1), x2) -> c8(IF(isEmpty(node(node(z0, z1), x1)), isEmpty(left(node(node(z0, z1), x1))), right(node(node(z0, z1), x1)), node(left(left(node(node(z0, z1), x1))), node(z1, right(node(node(z0, z1), x1)))), x2, inc(x2))) COUNT(node(empty, x1), x2) -> c8(IF(isEmpty(node(empty, x1)), isEmpty(left(node(empty, x1))), right(node(empty, x1)), node(left(left(node(empty, x1))), node(empty, right(node(empty, x1)))), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(z0), right(node(z0, z1)))), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c8(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x2, inc(x2))) ---------------------------------------- (176) Obligation: Complexity Dependency Tuples Problem Rules: isEmpty(empty) -> true isEmpty(node(z0, z1)) -> false left(empty) -> empty left(node(z0, z1)) -> z0 right(empty) -> empty right(node(z0, z1)) -> z1 inc(0) -> s(0) inc(s(z0)) -> s(inc(z0)) Tuples: INC(s(z0)) -> c7(INC(z0)) IF(false, false, z0, z1, z2, z3) -> c16(COUNT(z1, z2)) IF(false, true, z0, z1, z2, z3) -> c17(COUNT(z0, z3)) COUNT(empty, x1) -> c14(INC(x1)) COUNT(empty, x1) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c8(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c8(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, 0) -> c9(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(x0, s(z0)) -> c9(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0)))) COUNT(empty, x1) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1))) COUNT(empty, x1) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c9(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c9(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, 0) -> c10(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(x0, s(z0)) -> c10(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0)))) COUNT(empty, x1) -> c10(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1))) COUNT(empty, x1) -> c10(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c10(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c10(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c10(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, 0) -> c11(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(x0, s(z0)) -> c11(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0)))) COUNT(empty, x1) -> c11(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1))) COUNT(empty, x1) -> c11(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c11(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c11(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c11(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, 0) -> c12(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(x0, s(z0)) -> c12(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0)))) COUNT(empty, x1) -> c12(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1))) COUNT(empty, x1) -> c12(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c12(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c12(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c12(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, 0) -> c13(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(x0, s(z0)) -> c13(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0)))) COUNT(empty, x1) -> c13(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1))) COUNT(empty, x1) -> c13(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c13(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c13(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c13(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, s(0)) -> c14(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(0), s(s(0))), INC(s(0))) COUNT(x0, s(s(z0))) -> c14(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(s(z0)), s(s(inc(z0)))), INC(s(s(z0)))) COUNT(empty, s(x1)) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), s(x1), s(inc(x1))), INC(s(x1))) COUNT(empty, s(x1)) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(empty, s(x1)) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(empty, s(x1)) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(empty, s(x1)) -> c14(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(x0, s(x1)) -> c14(INC(s(x1))) COUNT(empty, s(x1)) -> c14(INC(s(x1))) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), empty)), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), empty)), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), empty)), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x0, inc(x0)), INC(x0)) COUNT(empty, 0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), 0, s(0))) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), z1)), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), z1)), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x2, inc(x2)), INC(x2)) COUNT(node(x0, x1), 0) -> c14(IF(isEmpty(node(x0, x1)), isEmpty(left(node(x0, x1))), right(node(x0, x1)), node(left(left(node(x0, x1))), node(right(left(node(x0, x1))), x1)), 0, s(0))) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(empty, right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(empty), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(empty), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, 0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), 0, s(0))) COUNT(node(node(z0, z1), x1), x2) -> c14(IF(isEmpty(node(node(z0, z1), x1)), isEmpty(left(node(node(z0, z1), x1))), right(node(node(z0, z1), x1)), node(left(left(node(node(z0, z1), x1))), node(z1, right(node(node(z0, z1), x1)))), x2, inc(x2)), INC(x2)) COUNT(node(empty, x1), x2) -> c14(IF(isEmpty(node(empty, x1)), isEmpty(left(node(empty, x1))), right(node(empty, x1)), node(left(left(node(empty, x1))), node(empty, right(node(empty, x1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(z0), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(x0, x1), 0) -> c14(IF(isEmpty(node(x0, x1)), isEmpty(left(node(x0, x1))), right(node(x0, x1)), node(left(left(node(x0, x1))), node(right(x0), right(node(x0, x1)))), 0, s(0))) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(empty, node(right(left(empty)), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(empty), node(right(left(empty)), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, 0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), 0, s(0))) COUNT(node(node(z0, z1), x1), x2) -> c14(IF(isEmpty(node(node(z0, z1), x1)), isEmpty(left(node(node(z0, z1), x1))), right(node(node(z0, z1), x1)), node(z0, node(right(left(node(node(z0, z1), x1))), right(node(node(z0, z1), x1)))), x2, inc(x2)), INC(x2)) COUNT(node(empty, x1), x2) -> c14(IF(isEmpty(node(empty, x1)), isEmpty(left(node(empty, x1))), right(node(empty, x1)), node(empty, node(right(left(node(empty, x1))), right(node(empty, x1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(x0, x1), 0) -> c14(IF(isEmpty(node(x0, x1)), isEmpty(left(node(x0, x1))), right(node(x0, x1)), node(left(x0), node(right(left(node(x0, x1))), right(node(x0, x1)))), 0, s(0))) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(empty), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, 0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), 0, s(0))) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(z0), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(false, isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(x0, x1), 0) -> c14(IF(isEmpty(node(x0, x1)), isEmpty(left(node(x0, x1))), x1, node(left(left(node(x0, x1))), node(right(left(node(x0, x1))), right(node(x0, x1)))), 0, s(0))) COUNT(empty, x0) -> c14(IF(isEmpty(empty), true, right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, 0) -> c14(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), 0, s(0))) COUNT(node(node(z0, z1), x1), x2) -> c14(IF(isEmpty(node(node(z0, z1), x1)), false, right(node(node(z0, z1), x1)), node(left(left(node(node(z0, z1), x1))), node(right(left(node(node(z0, z1), x1))), right(node(node(z0, z1), x1)))), x2, inc(x2)), INC(x2)) COUNT(node(empty, x1), x2) -> c14(IF(isEmpty(node(empty, x1)), true, right(node(empty, x1)), node(left(left(node(empty, x1))), node(right(left(node(empty, x1))), right(node(empty, x1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(false, isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(x0, x1), 0) -> c14(IF(isEmpty(node(x0, x1)), isEmpty(x0), right(node(x0, x1)), node(left(left(node(x0, x1))), node(right(left(node(x0, x1))), right(node(x0, x1)))), 0, s(0))) COUNT(node(x0, x1), 0) -> c14(IF(false, isEmpty(left(node(x0, x1))), right(node(x0, x1)), node(left(left(node(x0, x1))), node(right(left(node(x0, x1))), right(node(x0, x1)))), 0, s(0))) COUNT(empty, 0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), 0, s(0))) COUNT(node(z0, z1), 0) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), 0, s(0))) COUNT(empty, 0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), 0, s(0))) COUNT(node(z0, z1), 0) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), 0, s(0))) COUNT(empty, 0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), 0, s(0))) COUNT(node(z0, z1), 0) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), 0, s(0))) COUNT(empty, 0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), 0, s(0))) COUNT(node(z0, z1), 0) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), 0, s(0))) COUNT(empty, 0) -> c8(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), 0, s(0))) COUNT(node(z0, z1), 0) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), 0, s(0))) COUNT(node(z0, z1), 0) -> c8(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), 0, s(0))) COUNT(x0, s(0)) -> c8(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(0), s(s(0)))) COUNT(x0, s(s(z0))) -> c8(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(s(z0)), s(s(inc(z0))))) COUNT(empty, s(x1)) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), s(x1), s(inc(x1)))) COUNT(node(z0, z1), s(x1)) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), s(x1), s(inc(x1)))) COUNT(empty, s(x1)) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), s(x1), s(inc(x1)))) COUNT(node(z0, z1), s(x1)) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), s(x1), s(inc(x1)))) COUNT(empty, s(x1)) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), s(x1), s(inc(x1)))) COUNT(node(z0, z1), s(x1)) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1)))) COUNT(empty, s(x1)) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), s(x1), s(inc(x1)))) COUNT(node(z0, z1), s(x1)) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1)))) COUNT(empty, s(x1)) -> c8(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), s(x1), s(inc(x1)))) COUNT(node(z0, z1), s(x1)) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1)))) COUNT(node(z0, z1), s(x1)) -> c8(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1)))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), empty)), x0, inc(x0))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), empty)), x0, inc(x0))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), empty)), x0, inc(x0))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x0, inc(x0))) COUNT(node(z0, z1), x2) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), z1)), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), z1)), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c8(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x2, inc(x2))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(empty, right(empty))), x0, inc(x0))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(empty), right(empty))), x0, inc(x0))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(empty), right(empty))), x0, inc(x0))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x0, inc(x0))) COUNT(node(node(z0, z1), x1), x2) -> c8(IF(isEmpty(node(node(z0, z1), x1)), isEmpty(left(node(node(z0, z1), x1))), right(node(node(z0, z1), x1)), node(left(left(node(node(z0, z1), x1))), node(z1, right(node(node(z0, z1), x1)))), x2, inc(x2))) COUNT(node(empty, x1), x2) -> c8(IF(isEmpty(node(empty, x1)), isEmpty(left(node(empty, x1))), right(node(empty, x1)), node(left(left(node(empty, x1))), node(empty, right(node(empty, x1)))), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(z0), right(node(z0, z1)))), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c8(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x2, inc(x2))) S tuples: INC(s(z0)) -> c7(INC(z0)) IF(false, false, z0, z1, z2, z3) -> c16(COUNT(z1, z2)) IF(false, true, z0, z1, z2, z3) -> c17(COUNT(z0, z3)) COUNT(empty, x1) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c8(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c8(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, 0) -> c9(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(x0, s(z0)) -> c9(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0)))) COUNT(empty, x1) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1))) COUNT(empty, x1) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c9(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c9(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, 0) -> c10(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(x0, s(z0)) -> c10(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0)))) COUNT(empty, x1) -> c10(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1))) COUNT(empty, x1) -> c10(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c10(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c10(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c10(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, 0) -> c11(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(x0, s(z0)) -> c11(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0)))) COUNT(empty, x1) -> c11(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1))) COUNT(empty, x1) -> c11(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c11(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c11(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c11(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, 0) -> c12(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(x0, s(z0)) -> c12(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0)))) COUNT(empty, x1) -> c12(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1))) COUNT(empty, x1) -> c12(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c12(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c12(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c12(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, 0) -> c13(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(x0, s(z0)) -> c13(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0)))) COUNT(empty, x1) -> c13(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1))) COUNT(empty, x1) -> c13(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c13(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c13(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c13(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, s(0)) -> c14(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(0), s(s(0))), INC(s(0))) COUNT(x0, s(s(z0))) -> c14(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(s(z0)), s(s(inc(z0)))), INC(s(s(z0)))) COUNT(empty, s(x1)) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), s(x1), s(inc(x1))), INC(s(x1))) COUNT(empty, s(x1)) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(empty, s(x1)) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(empty, s(x1)) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(empty, s(x1)) -> c14(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), empty)), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), empty)), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), empty)), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x0, inc(x0)), INC(x0)) COUNT(empty, 0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), 0, s(0))) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), z1)), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), z1)), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x2, inc(x2)), INC(x2)) COUNT(node(x0, x1), 0) -> c14(IF(isEmpty(node(x0, x1)), isEmpty(left(node(x0, x1))), right(node(x0, x1)), node(left(left(node(x0, x1))), node(right(left(node(x0, x1))), x1)), 0, s(0))) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(empty, right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(empty), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(empty), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, 0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), 0, s(0))) COUNT(node(node(z0, z1), x1), x2) -> c14(IF(isEmpty(node(node(z0, z1), x1)), isEmpty(left(node(node(z0, z1), x1))), right(node(node(z0, z1), x1)), node(left(left(node(node(z0, z1), x1))), node(z1, right(node(node(z0, z1), x1)))), x2, inc(x2)), INC(x2)) COUNT(node(empty, x1), x2) -> c14(IF(isEmpty(node(empty, x1)), isEmpty(left(node(empty, x1))), right(node(empty, x1)), node(left(left(node(empty, x1))), node(empty, right(node(empty, x1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(z0), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(x0, x1), 0) -> c14(IF(isEmpty(node(x0, x1)), isEmpty(left(node(x0, x1))), right(node(x0, x1)), node(left(left(node(x0, x1))), node(right(x0), right(node(x0, x1)))), 0, s(0))) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(empty, node(right(left(empty)), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(empty), node(right(left(empty)), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, 0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), 0, s(0))) COUNT(node(node(z0, z1), x1), x2) -> c14(IF(isEmpty(node(node(z0, z1), x1)), isEmpty(left(node(node(z0, z1), x1))), right(node(node(z0, z1), x1)), node(z0, node(right(left(node(node(z0, z1), x1))), right(node(node(z0, z1), x1)))), x2, inc(x2)), INC(x2)) COUNT(node(empty, x1), x2) -> c14(IF(isEmpty(node(empty, x1)), isEmpty(left(node(empty, x1))), right(node(empty, x1)), node(empty, node(right(left(node(empty, x1))), right(node(empty, x1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(x0, x1), 0) -> c14(IF(isEmpty(node(x0, x1)), isEmpty(left(node(x0, x1))), right(node(x0, x1)), node(left(x0), node(right(left(node(x0, x1))), right(node(x0, x1)))), 0, s(0))) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(empty), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, 0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), 0, s(0))) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(z0), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(false, isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(x0, x1), 0) -> c14(IF(isEmpty(node(x0, x1)), isEmpty(left(node(x0, x1))), x1, node(left(left(node(x0, x1))), node(right(left(node(x0, x1))), right(node(x0, x1)))), 0, s(0))) COUNT(empty, x0) -> c14(IF(isEmpty(empty), true, right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, 0) -> c14(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), 0, s(0))) COUNT(node(node(z0, z1), x1), x2) -> c14(IF(isEmpty(node(node(z0, z1), x1)), false, right(node(node(z0, z1), x1)), node(left(left(node(node(z0, z1), x1))), node(right(left(node(node(z0, z1), x1))), right(node(node(z0, z1), x1)))), x2, inc(x2)), INC(x2)) COUNT(node(empty, x1), x2) -> c14(IF(isEmpty(node(empty, x1)), true, right(node(empty, x1)), node(left(left(node(empty, x1))), node(right(left(node(empty, x1))), right(node(empty, x1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(false, isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(x0, x1), 0) -> c14(IF(isEmpty(node(x0, x1)), isEmpty(x0), right(node(x0, x1)), node(left(left(node(x0, x1))), node(right(left(node(x0, x1))), right(node(x0, x1)))), 0, s(0))) COUNT(node(x0, x1), 0) -> c14(IF(false, isEmpty(left(node(x0, x1))), right(node(x0, x1)), node(left(left(node(x0, x1))), node(right(left(node(x0, x1))), right(node(x0, x1)))), 0, s(0))) COUNT(empty, 0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), 0, s(0))) COUNT(node(z0, z1), 0) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), 0, s(0))) COUNT(empty, 0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), 0, s(0))) COUNT(node(z0, z1), 0) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), 0, s(0))) COUNT(empty, 0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), 0, s(0))) COUNT(node(z0, z1), 0) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), 0, s(0))) COUNT(empty, 0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), 0, s(0))) COUNT(node(z0, z1), 0) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), 0, s(0))) COUNT(empty, 0) -> c8(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), 0, s(0))) COUNT(node(z0, z1), 0) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), 0, s(0))) COUNT(node(z0, z1), 0) -> c8(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), 0, s(0))) COUNT(x0, s(0)) -> c8(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(0), s(s(0)))) COUNT(x0, s(s(z0))) -> c8(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(s(z0)), s(s(inc(z0))))) COUNT(empty, s(x1)) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), s(x1), s(inc(x1)))) COUNT(node(z0, z1), s(x1)) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), s(x1), s(inc(x1)))) COUNT(empty, s(x1)) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), s(x1), s(inc(x1)))) COUNT(node(z0, z1), s(x1)) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), s(x1), s(inc(x1)))) COUNT(empty, s(x1)) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), s(x1), s(inc(x1)))) COUNT(node(z0, z1), s(x1)) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1)))) COUNT(empty, s(x1)) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), s(x1), s(inc(x1)))) COUNT(node(z0, z1), s(x1)) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1)))) COUNT(empty, s(x1)) -> c8(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), s(x1), s(inc(x1)))) COUNT(node(z0, z1), s(x1)) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1)))) COUNT(node(z0, z1), s(x1)) -> c8(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1)))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), empty)), x0, inc(x0))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), empty)), x0, inc(x0))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), empty)), x0, inc(x0))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x0, inc(x0))) COUNT(node(z0, z1), x2) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), z1)), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), z1)), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c8(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x2, inc(x2))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(empty, right(empty))), x0, inc(x0))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(empty), right(empty))), x0, inc(x0))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(empty), right(empty))), x0, inc(x0))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x0, inc(x0))) COUNT(node(node(z0, z1), x1), x2) -> c8(IF(isEmpty(node(node(z0, z1), x1)), isEmpty(left(node(node(z0, z1), x1))), right(node(node(z0, z1), x1)), node(left(left(node(node(z0, z1), x1))), node(z1, right(node(node(z0, z1), x1)))), x2, inc(x2))) COUNT(node(empty, x1), x2) -> c8(IF(isEmpty(node(empty, x1)), isEmpty(left(node(empty, x1))), right(node(empty, x1)), node(left(left(node(empty, x1))), node(empty, right(node(empty, x1)))), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(z0), right(node(z0, z1)))), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c8(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x2, inc(x2))) K tuples: COUNT(empty, x1) -> c14(INC(x1)) COUNT(x0, s(x1)) -> c14(INC(s(x1))) COUNT(empty, s(x1)) -> c14(INC(s(x1))) Defined Rule Symbols: isEmpty_1, left_1, right_1, inc_1 Defined Pair Symbols: INC_1, IF_6, COUNT_2 Compound Symbols: c7_1, c16_1, c17_1, c14_1, c8_1, c9_1, c10_1, c11_1, c12_1, c13_1, c14_2 ---------------------------------------- (177) CdtNarrowingProof (BOTH BOUNDS(ID, ID)) Use narrowing to replace COUNT(empty, x1) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) by COUNT(empty, 0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), 0, s(0))) COUNT(empty, s(z0)) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), s(z0), s(inc(z0)))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), empty)), x0, inc(x0))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(empty), right(empty))), x0, inc(x0))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(empty, node(right(left(empty)), right(empty))), x0, inc(x0))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(empty), node(right(left(empty)), right(empty))), x0, inc(x0))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x0, inc(x0))) COUNT(empty, x0) -> c8(IF(true, isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x0, inc(x0))) ---------------------------------------- (178) Obligation: Complexity Dependency Tuples Problem Rules: isEmpty(empty) -> true isEmpty(node(z0, z1)) -> false left(empty) -> empty left(node(z0, z1)) -> z0 right(empty) -> empty right(node(z0, z1)) -> z1 inc(0) -> s(0) inc(s(z0)) -> s(inc(z0)) Tuples: INC(s(z0)) -> c7(INC(z0)) IF(false, false, z0, z1, z2, z3) -> c16(COUNT(z1, z2)) IF(false, true, z0, z1, z2, z3) -> c17(COUNT(z0, z3)) COUNT(empty, x1) -> c14(INC(x1)) COUNT(node(z0, z1), x1) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c8(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c8(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, 0) -> c9(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(x0, s(z0)) -> c9(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0)))) COUNT(empty, x1) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1))) COUNT(empty, x1) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c9(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c9(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, 0) -> c10(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(x0, s(z0)) -> c10(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0)))) COUNT(empty, x1) -> c10(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1))) COUNT(empty, x1) -> c10(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c10(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c10(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c10(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, 0) -> c11(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(x0, s(z0)) -> c11(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0)))) COUNT(empty, x1) -> c11(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1))) COUNT(empty, x1) -> c11(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c11(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c11(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c11(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, 0) -> c12(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(x0, s(z0)) -> c12(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0)))) COUNT(empty, x1) -> c12(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1))) COUNT(empty, x1) -> c12(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c12(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c12(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c12(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, 0) -> c13(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(x0, s(z0)) -> c13(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0)))) COUNT(empty, x1) -> c13(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1))) COUNT(empty, x1) -> c13(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c13(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c13(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c13(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, s(0)) -> c14(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(0), s(s(0))), INC(s(0))) COUNT(x0, s(s(z0))) -> c14(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(s(z0)), s(s(inc(z0)))), INC(s(s(z0)))) COUNT(empty, s(x1)) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), s(x1), s(inc(x1))), INC(s(x1))) COUNT(empty, s(x1)) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(empty, s(x1)) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(empty, s(x1)) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(empty, s(x1)) -> c14(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(x0, s(x1)) -> c14(INC(s(x1))) COUNT(empty, s(x1)) -> c14(INC(s(x1))) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), empty)), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), empty)), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), empty)), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x0, inc(x0)), INC(x0)) COUNT(empty, 0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), 0, s(0))) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), z1)), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), z1)), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x2, inc(x2)), INC(x2)) COUNT(node(x0, x1), 0) -> c14(IF(isEmpty(node(x0, x1)), isEmpty(left(node(x0, x1))), right(node(x0, x1)), node(left(left(node(x0, x1))), node(right(left(node(x0, x1))), x1)), 0, s(0))) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(empty, right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(empty), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(empty), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, 0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), 0, s(0))) COUNT(node(node(z0, z1), x1), x2) -> c14(IF(isEmpty(node(node(z0, z1), x1)), isEmpty(left(node(node(z0, z1), x1))), right(node(node(z0, z1), x1)), node(left(left(node(node(z0, z1), x1))), node(z1, right(node(node(z0, z1), x1)))), x2, inc(x2)), INC(x2)) COUNT(node(empty, x1), x2) -> c14(IF(isEmpty(node(empty, x1)), isEmpty(left(node(empty, x1))), right(node(empty, x1)), node(left(left(node(empty, x1))), node(empty, right(node(empty, x1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(z0), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(x0, x1), 0) -> c14(IF(isEmpty(node(x0, x1)), isEmpty(left(node(x0, x1))), right(node(x0, x1)), node(left(left(node(x0, x1))), node(right(x0), right(node(x0, x1)))), 0, s(0))) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(empty, node(right(left(empty)), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(empty), node(right(left(empty)), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, 0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), 0, s(0))) COUNT(node(node(z0, z1), x1), x2) -> c14(IF(isEmpty(node(node(z0, z1), x1)), isEmpty(left(node(node(z0, z1), x1))), right(node(node(z0, z1), x1)), node(z0, node(right(left(node(node(z0, z1), x1))), right(node(node(z0, z1), x1)))), x2, inc(x2)), INC(x2)) COUNT(node(empty, x1), x2) -> c14(IF(isEmpty(node(empty, x1)), isEmpty(left(node(empty, x1))), right(node(empty, x1)), node(empty, node(right(left(node(empty, x1))), right(node(empty, x1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(x0, x1), 0) -> c14(IF(isEmpty(node(x0, x1)), isEmpty(left(node(x0, x1))), right(node(x0, x1)), node(left(x0), node(right(left(node(x0, x1))), right(node(x0, x1)))), 0, s(0))) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(empty), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, 0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), 0, s(0))) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(z0), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(false, isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(x0, x1), 0) -> c14(IF(isEmpty(node(x0, x1)), isEmpty(left(node(x0, x1))), x1, node(left(left(node(x0, x1))), node(right(left(node(x0, x1))), right(node(x0, x1)))), 0, s(0))) COUNT(empty, x0) -> c14(IF(isEmpty(empty), true, right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, 0) -> c14(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), 0, s(0))) COUNT(node(node(z0, z1), x1), x2) -> c14(IF(isEmpty(node(node(z0, z1), x1)), false, right(node(node(z0, z1), x1)), node(left(left(node(node(z0, z1), x1))), node(right(left(node(node(z0, z1), x1))), right(node(node(z0, z1), x1)))), x2, inc(x2)), INC(x2)) COUNT(node(empty, x1), x2) -> c14(IF(isEmpty(node(empty, x1)), true, right(node(empty, x1)), node(left(left(node(empty, x1))), node(right(left(node(empty, x1))), right(node(empty, x1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(false, isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(x0, x1), 0) -> c14(IF(isEmpty(node(x0, x1)), isEmpty(x0), right(node(x0, x1)), node(left(left(node(x0, x1))), node(right(left(node(x0, x1))), right(node(x0, x1)))), 0, s(0))) COUNT(node(x0, x1), 0) -> c14(IF(false, isEmpty(left(node(x0, x1))), right(node(x0, x1)), node(left(left(node(x0, x1))), node(right(left(node(x0, x1))), right(node(x0, x1)))), 0, s(0))) COUNT(empty, 0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), 0, s(0))) COUNT(node(z0, z1), 0) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), 0, s(0))) COUNT(empty, 0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), 0, s(0))) COUNT(node(z0, z1), 0) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), 0, s(0))) COUNT(empty, 0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), 0, s(0))) COUNT(node(z0, z1), 0) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), 0, s(0))) COUNT(empty, 0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), 0, s(0))) COUNT(node(z0, z1), 0) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), 0, s(0))) COUNT(empty, 0) -> c8(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), 0, s(0))) COUNT(node(z0, z1), 0) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), 0, s(0))) COUNT(node(z0, z1), 0) -> c8(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), 0, s(0))) COUNT(x0, s(0)) -> c8(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(0), s(s(0)))) COUNT(x0, s(s(z0))) -> c8(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(s(z0)), s(s(inc(z0))))) COUNT(empty, s(x1)) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), s(x1), s(inc(x1)))) COUNT(node(z0, z1), s(x1)) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), s(x1), s(inc(x1)))) COUNT(empty, s(x1)) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), s(x1), s(inc(x1)))) COUNT(node(z0, z1), s(x1)) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), s(x1), s(inc(x1)))) COUNT(empty, s(x1)) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), s(x1), s(inc(x1)))) COUNT(node(z0, z1), s(x1)) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1)))) COUNT(empty, s(x1)) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), s(x1), s(inc(x1)))) COUNT(node(z0, z1), s(x1)) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1)))) COUNT(empty, s(x1)) -> c8(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), s(x1), s(inc(x1)))) COUNT(node(z0, z1), s(x1)) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1)))) COUNT(node(z0, z1), s(x1)) -> c8(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1)))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), empty)), x0, inc(x0))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), empty)), x0, inc(x0))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), empty)), x0, inc(x0))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x0, inc(x0))) COUNT(node(z0, z1), x2) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), z1)), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), z1)), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c8(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x2, inc(x2))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(empty, right(empty))), x0, inc(x0))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(empty), right(empty))), x0, inc(x0))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(empty), right(empty))), x0, inc(x0))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x0, inc(x0))) COUNT(node(node(z0, z1), x1), x2) -> c8(IF(isEmpty(node(node(z0, z1), x1)), isEmpty(left(node(node(z0, z1), x1))), right(node(node(z0, z1), x1)), node(left(left(node(node(z0, z1), x1))), node(z1, right(node(node(z0, z1), x1)))), x2, inc(x2))) COUNT(node(empty, x1), x2) -> c8(IF(isEmpty(node(empty, x1)), isEmpty(left(node(empty, x1))), right(node(empty, x1)), node(left(left(node(empty, x1))), node(empty, right(node(empty, x1)))), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(z0), right(node(z0, z1)))), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c8(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x2, inc(x2))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(empty, node(right(left(empty)), right(empty))), x0, inc(x0))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(empty), node(right(left(empty)), right(empty))), x0, inc(x0))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x0, inc(x0))) COUNT(empty, x0) -> c8(IF(true, isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x0, inc(x0))) S tuples: INC(s(z0)) -> c7(INC(z0)) IF(false, false, z0, z1, z2, z3) -> c16(COUNT(z1, z2)) IF(false, true, z0, z1, z2, z3) -> c17(COUNT(z0, z3)) COUNT(node(z0, z1), x1) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c8(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c8(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, 0) -> c9(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(x0, s(z0)) -> c9(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0)))) COUNT(empty, x1) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1))) COUNT(empty, x1) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c9(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c9(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, 0) -> c10(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(x0, s(z0)) -> c10(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0)))) COUNT(empty, x1) -> c10(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1))) COUNT(empty, x1) -> c10(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c10(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c10(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c10(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, 0) -> c11(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(x0, s(z0)) -> c11(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0)))) COUNT(empty, x1) -> c11(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1))) COUNT(empty, x1) -> c11(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c11(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c11(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c11(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, 0) -> c12(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(x0, s(z0)) -> c12(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0)))) COUNT(empty, x1) -> c12(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1))) COUNT(empty, x1) -> c12(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c12(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c12(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c12(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, 0) -> c13(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(x0, s(z0)) -> c13(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0)))) COUNT(empty, x1) -> c13(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1))) COUNT(empty, x1) -> c13(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c13(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c13(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c13(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, s(0)) -> c14(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(0), s(s(0))), INC(s(0))) COUNT(x0, s(s(z0))) -> c14(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(s(z0)), s(s(inc(z0)))), INC(s(s(z0)))) COUNT(empty, s(x1)) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), s(x1), s(inc(x1))), INC(s(x1))) COUNT(empty, s(x1)) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(empty, s(x1)) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(empty, s(x1)) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(empty, s(x1)) -> c14(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), empty)), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), empty)), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), empty)), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x0, inc(x0)), INC(x0)) COUNT(empty, 0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), 0, s(0))) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), z1)), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), z1)), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x2, inc(x2)), INC(x2)) COUNT(node(x0, x1), 0) -> c14(IF(isEmpty(node(x0, x1)), isEmpty(left(node(x0, x1))), right(node(x0, x1)), node(left(left(node(x0, x1))), node(right(left(node(x0, x1))), x1)), 0, s(0))) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(empty, right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(empty), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(empty), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, 0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), 0, s(0))) COUNT(node(node(z0, z1), x1), x2) -> c14(IF(isEmpty(node(node(z0, z1), x1)), isEmpty(left(node(node(z0, z1), x1))), right(node(node(z0, z1), x1)), node(left(left(node(node(z0, z1), x1))), node(z1, right(node(node(z0, z1), x1)))), x2, inc(x2)), INC(x2)) COUNT(node(empty, x1), x2) -> c14(IF(isEmpty(node(empty, x1)), isEmpty(left(node(empty, x1))), right(node(empty, x1)), node(left(left(node(empty, x1))), node(empty, right(node(empty, x1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(z0), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(x0, x1), 0) -> c14(IF(isEmpty(node(x0, x1)), isEmpty(left(node(x0, x1))), right(node(x0, x1)), node(left(left(node(x0, x1))), node(right(x0), right(node(x0, x1)))), 0, s(0))) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(empty, node(right(left(empty)), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(empty), node(right(left(empty)), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, 0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), 0, s(0))) COUNT(node(node(z0, z1), x1), x2) -> c14(IF(isEmpty(node(node(z0, z1), x1)), isEmpty(left(node(node(z0, z1), x1))), right(node(node(z0, z1), x1)), node(z0, node(right(left(node(node(z0, z1), x1))), right(node(node(z0, z1), x1)))), x2, inc(x2)), INC(x2)) COUNT(node(empty, x1), x2) -> c14(IF(isEmpty(node(empty, x1)), isEmpty(left(node(empty, x1))), right(node(empty, x1)), node(empty, node(right(left(node(empty, x1))), right(node(empty, x1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(x0, x1), 0) -> c14(IF(isEmpty(node(x0, x1)), isEmpty(left(node(x0, x1))), right(node(x0, x1)), node(left(x0), node(right(left(node(x0, x1))), right(node(x0, x1)))), 0, s(0))) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(empty), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, 0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), 0, s(0))) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(z0), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(false, isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(x0, x1), 0) -> c14(IF(isEmpty(node(x0, x1)), isEmpty(left(node(x0, x1))), x1, node(left(left(node(x0, x1))), node(right(left(node(x0, x1))), right(node(x0, x1)))), 0, s(0))) COUNT(empty, x0) -> c14(IF(isEmpty(empty), true, right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, 0) -> c14(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), 0, s(0))) COUNT(node(node(z0, z1), x1), x2) -> c14(IF(isEmpty(node(node(z0, z1), x1)), false, right(node(node(z0, z1), x1)), node(left(left(node(node(z0, z1), x1))), node(right(left(node(node(z0, z1), x1))), right(node(node(z0, z1), x1)))), x2, inc(x2)), INC(x2)) COUNT(node(empty, x1), x2) -> c14(IF(isEmpty(node(empty, x1)), true, right(node(empty, x1)), node(left(left(node(empty, x1))), node(right(left(node(empty, x1))), right(node(empty, x1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(false, isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(x0, x1), 0) -> c14(IF(isEmpty(node(x0, x1)), isEmpty(x0), right(node(x0, x1)), node(left(left(node(x0, x1))), node(right(left(node(x0, x1))), right(node(x0, x1)))), 0, s(0))) COUNT(node(x0, x1), 0) -> c14(IF(false, isEmpty(left(node(x0, x1))), right(node(x0, x1)), node(left(left(node(x0, x1))), node(right(left(node(x0, x1))), right(node(x0, x1)))), 0, s(0))) COUNT(empty, 0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), 0, s(0))) COUNT(node(z0, z1), 0) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), 0, s(0))) COUNT(empty, 0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), 0, s(0))) COUNT(node(z0, z1), 0) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), 0, s(0))) COUNT(empty, 0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), 0, s(0))) COUNT(node(z0, z1), 0) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), 0, s(0))) COUNT(empty, 0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), 0, s(0))) COUNT(node(z0, z1), 0) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), 0, s(0))) COUNT(empty, 0) -> c8(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), 0, s(0))) COUNT(node(z0, z1), 0) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), 0, s(0))) COUNT(node(z0, z1), 0) -> c8(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), 0, s(0))) COUNT(x0, s(0)) -> c8(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(0), s(s(0)))) COUNT(x0, s(s(z0))) -> c8(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(s(z0)), s(s(inc(z0))))) COUNT(empty, s(x1)) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), s(x1), s(inc(x1)))) COUNT(node(z0, z1), s(x1)) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), s(x1), s(inc(x1)))) COUNT(empty, s(x1)) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), s(x1), s(inc(x1)))) COUNT(node(z0, z1), s(x1)) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), s(x1), s(inc(x1)))) COUNT(empty, s(x1)) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), s(x1), s(inc(x1)))) COUNT(node(z0, z1), s(x1)) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1)))) COUNT(empty, s(x1)) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), s(x1), s(inc(x1)))) COUNT(node(z0, z1), s(x1)) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1)))) COUNT(empty, s(x1)) -> c8(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), s(x1), s(inc(x1)))) COUNT(node(z0, z1), s(x1)) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1)))) COUNT(node(z0, z1), s(x1)) -> c8(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1)))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), empty)), x0, inc(x0))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), empty)), x0, inc(x0))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), empty)), x0, inc(x0))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x0, inc(x0))) COUNT(node(z0, z1), x2) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), z1)), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), z1)), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c8(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x2, inc(x2))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(empty, right(empty))), x0, inc(x0))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(empty), right(empty))), x0, inc(x0))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(empty), right(empty))), x0, inc(x0))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x0, inc(x0))) COUNT(node(node(z0, z1), x1), x2) -> c8(IF(isEmpty(node(node(z0, z1), x1)), isEmpty(left(node(node(z0, z1), x1))), right(node(node(z0, z1), x1)), node(left(left(node(node(z0, z1), x1))), node(z1, right(node(node(z0, z1), x1)))), x2, inc(x2))) COUNT(node(empty, x1), x2) -> c8(IF(isEmpty(node(empty, x1)), isEmpty(left(node(empty, x1))), right(node(empty, x1)), node(left(left(node(empty, x1))), node(empty, right(node(empty, x1)))), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(z0), right(node(z0, z1)))), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c8(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x2, inc(x2))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(empty, node(right(left(empty)), right(empty))), x0, inc(x0))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(empty), node(right(left(empty)), right(empty))), x0, inc(x0))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x0, inc(x0))) COUNT(empty, x0) -> c8(IF(true, isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x0, inc(x0))) K tuples: COUNT(empty, x1) -> c14(INC(x1)) COUNT(x0, s(x1)) -> c14(INC(s(x1))) COUNT(empty, s(x1)) -> c14(INC(s(x1))) Defined Rule Symbols: isEmpty_1, left_1, right_1, inc_1 Defined Pair Symbols: INC_1, IF_6, COUNT_2 Compound Symbols: c7_1, c16_1, c17_1, c14_1, c8_1, c9_1, c10_1, c11_1, c12_1, c13_1, c14_2 ---------------------------------------- (179) CdtLeafRemovalProof (BOTH BOUNDS(ID, ID)) Removed 1 trailing nodes: COUNT(empty, x0) -> c8(IF(true, isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x0, inc(x0))) ---------------------------------------- (180) Obligation: Complexity Dependency Tuples Problem Rules: isEmpty(empty) -> true isEmpty(node(z0, z1)) -> false left(empty) -> empty left(node(z0, z1)) -> z0 right(empty) -> empty right(node(z0, z1)) -> z1 inc(0) -> s(0) inc(s(z0)) -> s(inc(z0)) Tuples: INC(s(z0)) -> c7(INC(z0)) IF(false, false, z0, z1, z2, z3) -> c16(COUNT(z1, z2)) IF(false, true, z0, z1, z2, z3) -> c17(COUNT(z0, z3)) COUNT(empty, x1) -> c14(INC(x1)) COUNT(node(z0, z1), x1) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c8(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c8(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, 0) -> c9(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(x0, s(z0)) -> c9(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0)))) COUNT(empty, x1) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1))) COUNT(empty, x1) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c9(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c9(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, 0) -> c10(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(x0, s(z0)) -> c10(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0)))) COUNT(empty, x1) -> c10(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1))) COUNT(empty, x1) -> c10(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c10(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c10(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c10(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, 0) -> c11(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(x0, s(z0)) -> c11(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0)))) COUNT(empty, x1) -> c11(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1))) COUNT(empty, x1) -> c11(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c11(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c11(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c11(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, 0) -> c12(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(x0, s(z0)) -> c12(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0)))) COUNT(empty, x1) -> c12(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1))) COUNT(empty, x1) -> c12(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c12(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c12(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c12(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, 0) -> c13(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(x0, s(z0)) -> c13(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0)))) COUNT(empty, x1) -> c13(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1))) COUNT(empty, x1) -> c13(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c13(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c13(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c13(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, s(0)) -> c14(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(0), s(s(0))), INC(s(0))) COUNT(x0, s(s(z0))) -> c14(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(s(z0)), s(s(inc(z0)))), INC(s(s(z0)))) COUNT(empty, s(x1)) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), s(x1), s(inc(x1))), INC(s(x1))) COUNT(empty, s(x1)) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(empty, s(x1)) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(empty, s(x1)) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(empty, s(x1)) -> c14(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(x0, s(x1)) -> c14(INC(s(x1))) COUNT(empty, s(x1)) -> c14(INC(s(x1))) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), empty)), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), empty)), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), empty)), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x0, inc(x0)), INC(x0)) COUNT(empty, 0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), 0, s(0))) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), z1)), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), z1)), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x2, inc(x2)), INC(x2)) COUNT(node(x0, x1), 0) -> c14(IF(isEmpty(node(x0, x1)), isEmpty(left(node(x0, x1))), right(node(x0, x1)), node(left(left(node(x0, x1))), node(right(left(node(x0, x1))), x1)), 0, s(0))) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(empty, right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(empty), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(empty), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, 0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), 0, s(0))) COUNT(node(node(z0, z1), x1), x2) -> c14(IF(isEmpty(node(node(z0, z1), x1)), isEmpty(left(node(node(z0, z1), x1))), right(node(node(z0, z1), x1)), node(left(left(node(node(z0, z1), x1))), node(z1, right(node(node(z0, z1), x1)))), x2, inc(x2)), INC(x2)) COUNT(node(empty, x1), x2) -> c14(IF(isEmpty(node(empty, x1)), isEmpty(left(node(empty, x1))), right(node(empty, x1)), node(left(left(node(empty, x1))), node(empty, right(node(empty, x1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(z0), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(x0, x1), 0) -> c14(IF(isEmpty(node(x0, x1)), isEmpty(left(node(x0, x1))), right(node(x0, x1)), node(left(left(node(x0, x1))), node(right(x0), right(node(x0, x1)))), 0, s(0))) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(empty, node(right(left(empty)), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(empty), node(right(left(empty)), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, 0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), 0, s(0))) COUNT(node(node(z0, z1), x1), x2) -> c14(IF(isEmpty(node(node(z0, z1), x1)), isEmpty(left(node(node(z0, z1), x1))), right(node(node(z0, z1), x1)), node(z0, node(right(left(node(node(z0, z1), x1))), right(node(node(z0, z1), x1)))), x2, inc(x2)), INC(x2)) COUNT(node(empty, x1), x2) -> c14(IF(isEmpty(node(empty, x1)), isEmpty(left(node(empty, x1))), right(node(empty, x1)), node(empty, node(right(left(node(empty, x1))), right(node(empty, x1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(x0, x1), 0) -> c14(IF(isEmpty(node(x0, x1)), isEmpty(left(node(x0, x1))), right(node(x0, x1)), node(left(x0), node(right(left(node(x0, x1))), right(node(x0, x1)))), 0, s(0))) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(empty), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, 0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), 0, s(0))) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(z0), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(false, isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(x0, x1), 0) -> c14(IF(isEmpty(node(x0, x1)), isEmpty(left(node(x0, x1))), x1, node(left(left(node(x0, x1))), node(right(left(node(x0, x1))), right(node(x0, x1)))), 0, s(0))) COUNT(empty, x0) -> c14(IF(isEmpty(empty), true, right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, 0) -> c14(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), 0, s(0))) COUNT(node(node(z0, z1), x1), x2) -> c14(IF(isEmpty(node(node(z0, z1), x1)), false, right(node(node(z0, z1), x1)), node(left(left(node(node(z0, z1), x1))), node(right(left(node(node(z0, z1), x1))), right(node(node(z0, z1), x1)))), x2, inc(x2)), INC(x2)) COUNT(node(empty, x1), x2) -> c14(IF(isEmpty(node(empty, x1)), true, right(node(empty, x1)), node(left(left(node(empty, x1))), node(right(left(node(empty, x1))), right(node(empty, x1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(false, isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(x0, x1), 0) -> c14(IF(isEmpty(node(x0, x1)), isEmpty(x0), right(node(x0, x1)), node(left(left(node(x0, x1))), node(right(left(node(x0, x1))), right(node(x0, x1)))), 0, s(0))) COUNT(node(x0, x1), 0) -> c14(IF(false, isEmpty(left(node(x0, x1))), right(node(x0, x1)), node(left(left(node(x0, x1))), node(right(left(node(x0, x1))), right(node(x0, x1)))), 0, s(0))) COUNT(empty, 0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), 0, s(0))) COUNT(node(z0, z1), 0) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), 0, s(0))) COUNT(empty, 0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), 0, s(0))) COUNT(node(z0, z1), 0) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), 0, s(0))) COUNT(empty, 0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), 0, s(0))) COUNT(node(z0, z1), 0) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), 0, s(0))) COUNT(empty, 0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), 0, s(0))) COUNT(node(z0, z1), 0) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), 0, s(0))) COUNT(empty, 0) -> c8(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), 0, s(0))) COUNT(node(z0, z1), 0) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), 0, s(0))) COUNT(node(z0, z1), 0) -> c8(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), 0, s(0))) COUNT(x0, s(0)) -> c8(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(0), s(s(0)))) COUNT(x0, s(s(z0))) -> c8(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(s(z0)), s(s(inc(z0))))) COUNT(empty, s(x1)) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), s(x1), s(inc(x1)))) COUNT(node(z0, z1), s(x1)) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), s(x1), s(inc(x1)))) COUNT(empty, s(x1)) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), s(x1), s(inc(x1)))) COUNT(node(z0, z1), s(x1)) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), s(x1), s(inc(x1)))) COUNT(empty, s(x1)) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), s(x1), s(inc(x1)))) COUNT(node(z0, z1), s(x1)) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1)))) COUNT(empty, s(x1)) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), s(x1), s(inc(x1)))) COUNT(node(z0, z1), s(x1)) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1)))) COUNT(empty, s(x1)) -> c8(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), s(x1), s(inc(x1)))) COUNT(node(z0, z1), s(x1)) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1)))) COUNT(node(z0, z1), s(x1)) -> c8(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1)))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), empty)), x0, inc(x0))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), empty)), x0, inc(x0))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), empty)), x0, inc(x0))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x0, inc(x0))) COUNT(node(z0, z1), x2) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), z1)), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), z1)), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c8(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x2, inc(x2))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(empty, right(empty))), x0, inc(x0))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(empty), right(empty))), x0, inc(x0))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(empty), right(empty))), x0, inc(x0))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x0, inc(x0))) COUNT(node(node(z0, z1), x1), x2) -> c8(IF(isEmpty(node(node(z0, z1), x1)), isEmpty(left(node(node(z0, z1), x1))), right(node(node(z0, z1), x1)), node(left(left(node(node(z0, z1), x1))), node(z1, right(node(node(z0, z1), x1)))), x2, inc(x2))) COUNT(node(empty, x1), x2) -> c8(IF(isEmpty(node(empty, x1)), isEmpty(left(node(empty, x1))), right(node(empty, x1)), node(left(left(node(empty, x1))), node(empty, right(node(empty, x1)))), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(z0), right(node(z0, z1)))), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c8(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x2, inc(x2))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(empty, node(right(left(empty)), right(empty))), x0, inc(x0))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(empty), node(right(left(empty)), right(empty))), x0, inc(x0))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x0, inc(x0))) S tuples: INC(s(z0)) -> c7(INC(z0)) IF(false, false, z0, z1, z2, z3) -> c16(COUNT(z1, z2)) IF(false, true, z0, z1, z2, z3) -> c17(COUNT(z0, z3)) COUNT(node(z0, z1), x1) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c8(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c8(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, 0) -> c9(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(x0, s(z0)) -> c9(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0)))) COUNT(empty, x1) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1))) COUNT(empty, x1) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c9(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c9(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, 0) -> c10(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(x0, s(z0)) -> c10(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0)))) COUNT(empty, x1) -> c10(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1))) COUNT(empty, x1) -> c10(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c10(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c10(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c10(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, 0) -> c11(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(x0, s(z0)) -> c11(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0)))) COUNT(empty, x1) -> c11(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1))) COUNT(empty, x1) -> c11(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c11(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c11(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c11(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, 0) -> c12(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(x0, s(z0)) -> c12(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0)))) COUNT(empty, x1) -> c12(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1))) COUNT(empty, x1) -> c12(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c12(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c12(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c12(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, 0) -> c13(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(x0, s(z0)) -> c13(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0)))) COUNT(empty, x1) -> c13(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1))) COUNT(empty, x1) -> c13(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c13(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c13(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c13(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, s(0)) -> c14(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(0), s(s(0))), INC(s(0))) COUNT(x0, s(s(z0))) -> c14(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(s(z0)), s(s(inc(z0)))), INC(s(s(z0)))) COUNT(empty, s(x1)) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), s(x1), s(inc(x1))), INC(s(x1))) COUNT(empty, s(x1)) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(empty, s(x1)) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(empty, s(x1)) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(empty, s(x1)) -> c14(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), empty)), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), empty)), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), empty)), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x0, inc(x0)), INC(x0)) COUNT(empty, 0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), 0, s(0))) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), z1)), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), z1)), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x2, inc(x2)), INC(x2)) COUNT(node(x0, x1), 0) -> c14(IF(isEmpty(node(x0, x1)), isEmpty(left(node(x0, x1))), right(node(x0, x1)), node(left(left(node(x0, x1))), node(right(left(node(x0, x1))), x1)), 0, s(0))) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(empty, right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(empty), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(empty), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, 0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), 0, s(0))) COUNT(node(node(z0, z1), x1), x2) -> c14(IF(isEmpty(node(node(z0, z1), x1)), isEmpty(left(node(node(z0, z1), x1))), right(node(node(z0, z1), x1)), node(left(left(node(node(z0, z1), x1))), node(z1, right(node(node(z0, z1), x1)))), x2, inc(x2)), INC(x2)) COUNT(node(empty, x1), x2) -> c14(IF(isEmpty(node(empty, x1)), isEmpty(left(node(empty, x1))), right(node(empty, x1)), node(left(left(node(empty, x1))), node(empty, right(node(empty, x1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(z0), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(x0, x1), 0) -> c14(IF(isEmpty(node(x0, x1)), isEmpty(left(node(x0, x1))), right(node(x0, x1)), node(left(left(node(x0, x1))), node(right(x0), right(node(x0, x1)))), 0, s(0))) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(empty, node(right(left(empty)), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(empty), node(right(left(empty)), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, 0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), 0, s(0))) COUNT(node(node(z0, z1), x1), x2) -> c14(IF(isEmpty(node(node(z0, z1), x1)), isEmpty(left(node(node(z0, z1), x1))), right(node(node(z0, z1), x1)), node(z0, node(right(left(node(node(z0, z1), x1))), right(node(node(z0, z1), x1)))), x2, inc(x2)), INC(x2)) COUNT(node(empty, x1), x2) -> c14(IF(isEmpty(node(empty, x1)), isEmpty(left(node(empty, x1))), right(node(empty, x1)), node(empty, node(right(left(node(empty, x1))), right(node(empty, x1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(x0, x1), 0) -> c14(IF(isEmpty(node(x0, x1)), isEmpty(left(node(x0, x1))), right(node(x0, x1)), node(left(x0), node(right(left(node(x0, x1))), right(node(x0, x1)))), 0, s(0))) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(empty), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, 0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), 0, s(0))) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(z0), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(false, isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(x0, x1), 0) -> c14(IF(isEmpty(node(x0, x1)), isEmpty(left(node(x0, x1))), x1, node(left(left(node(x0, x1))), node(right(left(node(x0, x1))), right(node(x0, x1)))), 0, s(0))) COUNT(empty, x0) -> c14(IF(isEmpty(empty), true, right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, 0) -> c14(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), 0, s(0))) COUNT(node(node(z0, z1), x1), x2) -> c14(IF(isEmpty(node(node(z0, z1), x1)), false, right(node(node(z0, z1), x1)), node(left(left(node(node(z0, z1), x1))), node(right(left(node(node(z0, z1), x1))), right(node(node(z0, z1), x1)))), x2, inc(x2)), INC(x2)) COUNT(node(empty, x1), x2) -> c14(IF(isEmpty(node(empty, x1)), true, right(node(empty, x1)), node(left(left(node(empty, x1))), node(right(left(node(empty, x1))), right(node(empty, x1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(false, isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(x0, x1), 0) -> c14(IF(isEmpty(node(x0, x1)), isEmpty(x0), right(node(x0, x1)), node(left(left(node(x0, x1))), node(right(left(node(x0, x1))), right(node(x0, x1)))), 0, s(0))) COUNT(node(x0, x1), 0) -> c14(IF(false, isEmpty(left(node(x0, x1))), right(node(x0, x1)), node(left(left(node(x0, x1))), node(right(left(node(x0, x1))), right(node(x0, x1)))), 0, s(0))) COUNT(empty, 0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), 0, s(0))) COUNT(node(z0, z1), 0) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), 0, s(0))) COUNT(empty, 0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), 0, s(0))) COUNT(node(z0, z1), 0) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), 0, s(0))) COUNT(empty, 0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), 0, s(0))) COUNT(node(z0, z1), 0) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), 0, s(0))) COUNT(empty, 0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), 0, s(0))) COUNT(node(z0, z1), 0) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), 0, s(0))) COUNT(empty, 0) -> c8(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), 0, s(0))) COUNT(node(z0, z1), 0) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), 0, s(0))) COUNT(node(z0, z1), 0) -> c8(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), 0, s(0))) COUNT(x0, s(0)) -> c8(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(0), s(s(0)))) COUNT(x0, s(s(z0))) -> c8(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(s(z0)), s(s(inc(z0))))) COUNT(empty, s(x1)) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), s(x1), s(inc(x1)))) COUNT(node(z0, z1), s(x1)) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), s(x1), s(inc(x1)))) COUNT(empty, s(x1)) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), s(x1), s(inc(x1)))) COUNT(node(z0, z1), s(x1)) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), s(x1), s(inc(x1)))) COUNT(empty, s(x1)) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), s(x1), s(inc(x1)))) COUNT(node(z0, z1), s(x1)) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1)))) COUNT(empty, s(x1)) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), s(x1), s(inc(x1)))) COUNT(node(z0, z1), s(x1)) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1)))) COUNT(empty, s(x1)) -> c8(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), s(x1), s(inc(x1)))) COUNT(node(z0, z1), s(x1)) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1)))) COUNT(node(z0, z1), s(x1)) -> c8(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1)))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), empty)), x0, inc(x0))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), empty)), x0, inc(x0))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), empty)), x0, inc(x0))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x0, inc(x0))) COUNT(node(z0, z1), x2) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), z1)), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), z1)), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c8(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x2, inc(x2))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(empty, right(empty))), x0, inc(x0))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(empty), right(empty))), x0, inc(x0))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(empty), right(empty))), x0, inc(x0))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x0, inc(x0))) COUNT(node(node(z0, z1), x1), x2) -> c8(IF(isEmpty(node(node(z0, z1), x1)), isEmpty(left(node(node(z0, z1), x1))), right(node(node(z0, z1), x1)), node(left(left(node(node(z0, z1), x1))), node(z1, right(node(node(z0, z1), x1)))), x2, inc(x2))) COUNT(node(empty, x1), x2) -> c8(IF(isEmpty(node(empty, x1)), isEmpty(left(node(empty, x1))), right(node(empty, x1)), node(left(left(node(empty, x1))), node(empty, right(node(empty, x1)))), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(z0), right(node(z0, z1)))), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c8(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x2, inc(x2))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(empty, node(right(left(empty)), right(empty))), x0, inc(x0))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(empty), node(right(left(empty)), right(empty))), x0, inc(x0))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x0, inc(x0))) K tuples: COUNT(empty, x1) -> c14(INC(x1)) COUNT(x0, s(x1)) -> c14(INC(s(x1))) COUNT(empty, s(x1)) -> c14(INC(s(x1))) Defined Rule Symbols: isEmpty_1, left_1, right_1, inc_1 Defined Pair Symbols: INC_1, IF_6, COUNT_2 Compound Symbols: c7_1, c16_1, c17_1, c14_1, c8_1, c9_1, c10_1, c11_1, c12_1, c13_1, c14_2 ---------------------------------------- (181) CdtNarrowingProof (BOTH BOUNDS(ID, ID)) Use narrowing to replace COUNT(node(z0, z1), x1) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) by COUNT(node(x0, x1), 0) -> c8(IF(isEmpty(node(x0, x1)), isEmpty(left(node(x0, x1))), right(node(x0, x1)), node(left(x0), node(right(left(node(x0, x1))), right(node(x0, x1)))), 0, s(0))) COUNT(node(x0, x1), s(z0)) -> c8(IF(isEmpty(node(x0, x1)), isEmpty(left(node(x0, x1))), right(node(x0, x1)), node(left(x0), node(right(left(node(x0, x1))), right(node(x0, x1)))), s(z0), s(inc(z0)))) COUNT(node(z0, z1), x2) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), z1)), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(z0), right(node(z0, z1)))), x2, inc(x2))) COUNT(node(node(z0, z1), x1), x2) -> c8(IF(isEmpty(node(node(z0, z1), x1)), isEmpty(left(node(node(z0, z1), x1))), right(node(node(z0, z1), x1)), node(z0, node(right(left(node(node(z0, z1), x1))), right(node(node(z0, z1), x1)))), x2, inc(x2))) COUNT(node(empty, x1), x2) -> c8(IF(isEmpty(node(empty, x1)), isEmpty(left(node(empty, x1))), right(node(empty, x1)), node(empty, node(right(left(node(empty, x1))), right(node(empty, x1)))), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c8(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2))) ---------------------------------------- (182) Obligation: Complexity Dependency Tuples Problem Rules: isEmpty(empty) -> true isEmpty(node(z0, z1)) -> false left(empty) -> empty left(node(z0, z1)) -> z0 right(empty) -> empty right(node(z0, z1)) -> z1 inc(0) -> s(0) inc(s(z0)) -> s(inc(z0)) Tuples: INC(s(z0)) -> c7(INC(z0)) IF(false, false, z0, z1, z2, z3) -> c16(COUNT(z1, z2)) IF(false, true, z0, z1, z2, z3) -> c17(COUNT(z0, z3)) COUNT(empty, x1) -> c14(INC(x1)) COUNT(empty, x1) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c8(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c8(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, 0) -> c9(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(x0, s(z0)) -> c9(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0)))) COUNT(empty, x1) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1))) COUNT(empty, x1) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c9(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c9(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, 0) -> c10(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(x0, s(z0)) -> c10(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0)))) COUNT(empty, x1) -> c10(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1))) COUNT(empty, x1) -> c10(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c10(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c10(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c10(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, 0) -> c11(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(x0, s(z0)) -> c11(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0)))) COUNT(empty, x1) -> c11(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1))) COUNT(empty, x1) -> c11(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c11(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c11(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c11(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, 0) -> c12(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(x0, s(z0)) -> c12(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0)))) COUNT(empty, x1) -> c12(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1))) COUNT(empty, x1) -> c12(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c12(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c12(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c12(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, 0) -> c13(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(x0, s(z0)) -> c13(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0)))) COUNT(empty, x1) -> c13(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1))) COUNT(empty, x1) -> c13(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c13(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c13(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c13(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, s(0)) -> c14(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(0), s(s(0))), INC(s(0))) COUNT(x0, s(s(z0))) -> c14(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(s(z0)), s(s(inc(z0)))), INC(s(s(z0)))) COUNT(empty, s(x1)) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), s(x1), s(inc(x1))), INC(s(x1))) COUNT(empty, s(x1)) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(empty, s(x1)) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(empty, s(x1)) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(empty, s(x1)) -> c14(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(x0, s(x1)) -> c14(INC(s(x1))) COUNT(empty, s(x1)) -> c14(INC(s(x1))) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), empty)), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), empty)), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), empty)), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x0, inc(x0)), INC(x0)) COUNT(empty, 0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), 0, s(0))) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), z1)), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), z1)), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x2, inc(x2)), INC(x2)) COUNT(node(x0, x1), 0) -> c14(IF(isEmpty(node(x0, x1)), isEmpty(left(node(x0, x1))), right(node(x0, x1)), node(left(left(node(x0, x1))), node(right(left(node(x0, x1))), x1)), 0, s(0))) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(empty, right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(empty), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(empty), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, 0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), 0, s(0))) COUNT(node(node(z0, z1), x1), x2) -> c14(IF(isEmpty(node(node(z0, z1), x1)), isEmpty(left(node(node(z0, z1), x1))), right(node(node(z0, z1), x1)), node(left(left(node(node(z0, z1), x1))), node(z1, right(node(node(z0, z1), x1)))), x2, inc(x2)), INC(x2)) COUNT(node(empty, x1), x2) -> c14(IF(isEmpty(node(empty, x1)), isEmpty(left(node(empty, x1))), right(node(empty, x1)), node(left(left(node(empty, x1))), node(empty, right(node(empty, x1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(z0), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(x0, x1), 0) -> c14(IF(isEmpty(node(x0, x1)), isEmpty(left(node(x0, x1))), right(node(x0, x1)), node(left(left(node(x0, x1))), node(right(x0), right(node(x0, x1)))), 0, s(0))) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(empty, node(right(left(empty)), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(empty), node(right(left(empty)), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, 0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), 0, s(0))) COUNT(node(node(z0, z1), x1), x2) -> c14(IF(isEmpty(node(node(z0, z1), x1)), isEmpty(left(node(node(z0, z1), x1))), right(node(node(z0, z1), x1)), node(z0, node(right(left(node(node(z0, z1), x1))), right(node(node(z0, z1), x1)))), x2, inc(x2)), INC(x2)) COUNT(node(empty, x1), x2) -> c14(IF(isEmpty(node(empty, x1)), isEmpty(left(node(empty, x1))), right(node(empty, x1)), node(empty, node(right(left(node(empty, x1))), right(node(empty, x1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(x0, x1), 0) -> c14(IF(isEmpty(node(x0, x1)), isEmpty(left(node(x0, x1))), right(node(x0, x1)), node(left(x0), node(right(left(node(x0, x1))), right(node(x0, x1)))), 0, s(0))) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(empty), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, 0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), 0, s(0))) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(z0), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(false, isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(x0, x1), 0) -> c14(IF(isEmpty(node(x0, x1)), isEmpty(left(node(x0, x1))), x1, node(left(left(node(x0, x1))), node(right(left(node(x0, x1))), right(node(x0, x1)))), 0, s(0))) COUNT(empty, x0) -> c14(IF(isEmpty(empty), true, right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, 0) -> c14(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), 0, s(0))) COUNT(node(node(z0, z1), x1), x2) -> c14(IF(isEmpty(node(node(z0, z1), x1)), false, right(node(node(z0, z1), x1)), node(left(left(node(node(z0, z1), x1))), node(right(left(node(node(z0, z1), x1))), right(node(node(z0, z1), x1)))), x2, inc(x2)), INC(x2)) COUNT(node(empty, x1), x2) -> c14(IF(isEmpty(node(empty, x1)), true, right(node(empty, x1)), node(left(left(node(empty, x1))), node(right(left(node(empty, x1))), right(node(empty, x1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(false, isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(x0, x1), 0) -> c14(IF(isEmpty(node(x0, x1)), isEmpty(x0), right(node(x0, x1)), node(left(left(node(x0, x1))), node(right(left(node(x0, x1))), right(node(x0, x1)))), 0, s(0))) COUNT(node(x0, x1), 0) -> c14(IF(false, isEmpty(left(node(x0, x1))), right(node(x0, x1)), node(left(left(node(x0, x1))), node(right(left(node(x0, x1))), right(node(x0, x1)))), 0, s(0))) COUNT(empty, 0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), 0, s(0))) COUNT(node(z0, z1), 0) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), 0, s(0))) COUNT(empty, 0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), 0, s(0))) COUNT(node(z0, z1), 0) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), 0, s(0))) COUNT(empty, 0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), 0, s(0))) COUNT(node(z0, z1), 0) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), 0, s(0))) COUNT(empty, 0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), 0, s(0))) COUNT(node(z0, z1), 0) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), 0, s(0))) COUNT(empty, 0) -> c8(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), 0, s(0))) COUNT(node(z0, z1), 0) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), 0, s(0))) COUNT(node(z0, z1), 0) -> c8(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), 0, s(0))) COUNT(x0, s(0)) -> c8(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(0), s(s(0)))) COUNT(x0, s(s(z0))) -> c8(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(s(z0)), s(s(inc(z0))))) COUNT(empty, s(x1)) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), s(x1), s(inc(x1)))) COUNT(node(z0, z1), s(x1)) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), s(x1), s(inc(x1)))) COUNT(empty, s(x1)) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), s(x1), s(inc(x1)))) COUNT(node(z0, z1), s(x1)) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), s(x1), s(inc(x1)))) COUNT(empty, s(x1)) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), s(x1), s(inc(x1)))) COUNT(node(z0, z1), s(x1)) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1)))) COUNT(empty, s(x1)) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), s(x1), s(inc(x1)))) COUNT(node(z0, z1), s(x1)) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1)))) COUNT(empty, s(x1)) -> c8(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), s(x1), s(inc(x1)))) COUNT(node(z0, z1), s(x1)) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1)))) COUNT(node(z0, z1), s(x1)) -> c8(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1)))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), empty)), x0, inc(x0))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), empty)), x0, inc(x0))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), empty)), x0, inc(x0))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x0, inc(x0))) COUNT(node(z0, z1), x2) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), z1)), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), z1)), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c8(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x2, inc(x2))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(empty, right(empty))), x0, inc(x0))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(empty), right(empty))), x0, inc(x0))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(empty), right(empty))), x0, inc(x0))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x0, inc(x0))) COUNT(node(node(z0, z1), x1), x2) -> c8(IF(isEmpty(node(node(z0, z1), x1)), isEmpty(left(node(node(z0, z1), x1))), right(node(node(z0, z1), x1)), node(left(left(node(node(z0, z1), x1))), node(z1, right(node(node(z0, z1), x1)))), x2, inc(x2))) COUNT(node(empty, x1), x2) -> c8(IF(isEmpty(node(empty, x1)), isEmpty(left(node(empty, x1))), right(node(empty, x1)), node(left(left(node(empty, x1))), node(empty, right(node(empty, x1)))), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(z0), right(node(z0, z1)))), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c8(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x2, inc(x2))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(empty, node(right(left(empty)), right(empty))), x0, inc(x0))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(empty), node(right(left(empty)), right(empty))), x0, inc(x0))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x0, inc(x0))) COUNT(node(node(z0, z1), x1), x2) -> c8(IF(isEmpty(node(node(z0, z1), x1)), isEmpty(left(node(node(z0, z1), x1))), right(node(node(z0, z1), x1)), node(z0, node(right(left(node(node(z0, z1), x1))), right(node(node(z0, z1), x1)))), x2, inc(x2))) COUNT(node(empty, x1), x2) -> c8(IF(isEmpty(node(empty, x1)), isEmpty(left(node(empty, x1))), right(node(empty, x1)), node(empty, node(right(left(node(empty, x1))), right(node(empty, x1)))), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c8(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2))) S tuples: INC(s(z0)) -> c7(INC(z0)) IF(false, false, z0, z1, z2, z3) -> c16(COUNT(z1, z2)) IF(false, true, z0, z1, z2, z3) -> c17(COUNT(z0, z3)) COUNT(empty, x1) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c8(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c8(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, 0) -> c9(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(x0, s(z0)) -> c9(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0)))) COUNT(empty, x1) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1))) COUNT(empty, x1) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c9(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c9(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, 0) -> c10(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(x0, s(z0)) -> c10(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0)))) COUNT(empty, x1) -> c10(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1))) COUNT(empty, x1) -> c10(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c10(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c10(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c10(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, 0) -> c11(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(x0, s(z0)) -> c11(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0)))) COUNT(empty, x1) -> c11(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1))) COUNT(empty, x1) -> c11(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c11(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c11(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c11(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, 0) -> c12(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(x0, s(z0)) -> c12(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0)))) COUNT(empty, x1) -> c12(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1))) COUNT(empty, x1) -> c12(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c12(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c12(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c12(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, 0) -> c13(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(x0, s(z0)) -> c13(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0)))) COUNT(empty, x1) -> c13(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1))) COUNT(empty, x1) -> c13(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c13(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c13(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c13(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, s(0)) -> c14(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(0), s(s(0))), INC(s(0))) COUNT(x0, s(s(z0))) -> c14(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(s(z0)), s(s(inc(z0)))), INC(s(s(z0)))) COUNT(empty, s(x1)) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), s(x1), s(inc(x1))), INC(s(x1))) COUNT(empty, s(x1)) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(empty, s(x1)) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(empty, s(x1)) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(empty, s(x1)) -> c14(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), empty)), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), empty)), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), empty)), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x0, inc(x0)), INC(x0)) COUNT(empty, 0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), 0, s(0))) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), z1)), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), z1)), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x2, inc(x2)), INC(x2)) COUNT(node(x0, x1), 0) -> c14(IF(isEmpty(node(x0, x1)), isEmpty(left(node(x0, x1))), right(node(x0, x1)), node(left(left(node(x0, x1))), node(right(left(node(x0, x1))), x1)), 0, s(0))) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(empty, right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(empty), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(empty), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, 0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), 0, s(0))) COUNT(node(node(z0, z1), x1), x2) -> c14(IF(isEmpty(node(node(z0, z1), x1)), isEmpty(left(node(node(z0, z1), x1))), right(node(node(z0, z1), x1)), node(left(left(node(node(z0, z1), x1))), node(z1, right(node(node(z0, z1), x1)))), x2, inc(x2)), INC(x2)) COUNT(node(empty, x1), x2) -> c14(IF(isEmpty(node(empty, x1)), isEmpty(left(node(empty, x1))), right(node(empty, x1)), node(left(left(node(empty, x1))), node(empty, right(node(empty, x1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(z0), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(x0, x1), 0) -> c14(IF(isEmpty(node(x0, x1)), isEmpty(left(node(x0, x1))), right(node(x0, x1)), node(left(left(node(x0, x1))), node(right(x0), right(node(x0, x1)))), 0, s(0))) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(empty, node(right(left(empty)), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(empty), node(right(left(empty)), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, 0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), 0, s(0))) COUNT(node(node(z0, z1), x1), x2) -> c14(IF(isEmpty(node(node(z0, z1), x1)), isEmpty(left(node(node(z0, z1), x1))), right(node(node(z0, z1), x1)), node(z0, node(right(left(node(node(z0, z1), x1))), right(node(node(z0, z1), x1)))), x2, inc(x2)), INC(x2)) COUNT(node(empty, x1), x2) -> c14(IF(isEmpty(node(empty, x1)), isEmpty(left(node(empty, x1))), right(node(empty, x1)), node(empty, node(right(left(node(empty, x1))), right(node(empty, x1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(x0, x1), 0) -> c14(IF(isEmpty(node(x0, x1)), isEmpty(left(node(x0, x1))), right(node(x0, x1)), node(left(x0), node(right(left(node(x0, x1))), right(node(x0, x1)))), 0, s(0))) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(empty), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, 0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), 0, s(0))) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(z0), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(false, isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(x0, x1), 0) -> c14(IF(isEmpty(node(x0, x1)), isEmpty(left(node(x0, x1))), x1, node(left(left(node(x0, x1))), node(right(left(node(x0, x1))), right(node(x0, x1)))), 0, s(0))) COUNT(empty, x0) -> c14(IF(isEmpty(empty), true, right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, 0) -> c14(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), 0, s(0))) COUNT(node(node(z0, z1), x1), x2) -> c14(IF(isEmpty(node(node(z0, z1), x1)), false, right(node(node(z0, z1), x1)), node(left(left(node(node(z0, z1), x1))), node(right(left(node(node(z0, z1), x1))), right(node(node(z0, z1), x1)))), x2, inc(x2)), INC(x2)) COUNT(node(empty, x1), x2) -> c14(IF(isEmpty(node(empty, x1)), true, right(node(empty, x1)), node(left(left(node(empty, x1))), node(right(left(node(empty, x1))), right(node(empty, x1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(false, isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(x0, x1), 0) -> c14(IF(isEmpty(node(x0, x1)), isEmpty(x0), right(node(x0, x1)), node(left(left(node(x0, x1))), node(right(left(node(x0, x1))), right(node(x0, x1)))), 0, s(0))) COUNT(node(x0, x1), 0) -> c14(IF(false, isEmpty(left(node(x0, x1))), right(node(x0, x1)), node(left(left(node(x0, x1))), node(right(left(node(x0, x1))), right(node(x0, x1)))), 0, s(0))) COUNT(empty, 0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), 0, s(0))) COUNT(node(z0, z1), 0) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), 0, s(0))) COUNT(empty, 0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), 0, s(0))) COUNT(node(z0, z1), 0) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), 0, s(0))) COUNT(empty, 0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), 0, s(0))) COUNT(node(z0, z1), 0) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), 0, s(0))) COUNT(empty, 0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), 0, s(0))) COUNT(node(z0, z1), 0) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), 0, s(0))) COUNT(empty, 0) -> c8(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), 0, s(0))) COUNT(node(z0, z1), 0) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), 0, s(0))) COUNT(node(z0, z1), 0) -> c8(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), 0, s(0))) COUNT(x0, s(0)) -> c8(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(0), s(s(0)))) COUNT(x0, s(s(z0))) -> c8(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(s(z0)), s(s(inc(z0))))) COUNT(empty, s(x1)) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), s(x1), s(inc(x1)))) COUNT(node(z0, z1), s(x1)) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), s(x1), s(inc(x1)))) COUNT(empty, s(x1)) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), s(x1), s(inc(x1)))) COUNT(node(z0, z1), s(x1)) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), s(x1), s(inc(x1)))) COUNT(empty, s(x1)) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), s(x1), s(inc(x1)))) COUNT(node(z0, z1), s(x1)) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1)))) COUNT(empty, s(x1)) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), s(x1), s(inc(x1)))) COUNT(node(z0, z1), s(x1)) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1)))) COUNT(empty, s(x1)) -> c8(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), s(x1), s(inc(x1)))) COUNT(node(z0, z1), s(x1)) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1)))) COUNT(node(z0, z1), s(x1)) -> c8(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1)))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), empty)), x0, inc(x0))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), empty)), x0, inc(x0))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), empty)), x0, inc(x0))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x0, inc(x0))) COUNT(node(z0, z1), x2) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), z1)), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), z1)), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c8(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x2, inc(x2))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(empty, right(empty))), x0, inc(x0))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(empty), right(empty))), x0, inc(x0))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(empty), right(empty))), x0, inc(x0))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x0, inc(x0))) COUNT(node(node(z0, z1), x1), x2) -> c8(IF(isEmpty(node(node(z0, z1), x1)), isEmpty(left(node(node(z0, z1), x1))), right(node(node(z0, z1), x1)), node(left(left(node(node(z0, z1), x1))), node(z1, right(node(node(z0, z1), x1)))), x2, inc(x2))) COUNT(node(empty, x1), x2) -> c8(IF(isEmpty(node(empty, x1)), isEmpty(left(node(empty, x1))), right(node(empty, x1)), node(left(left(node(empty, x1))), node(empty, right(node(empty, x1)))), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(z0), right(node(z0, z1)))), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c8(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x2, inc(x2))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(empty, node(right(left(empty)), right(empty))), x0, inc(x0))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(empty), node(right(left(empty)), right(empty))), x0, inc(x0))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x0, inc(x0))) COUNT(node(node(z0, z1), x1), x2) -> c8(IF(isEmpty(node(node(z0, z1), x1)), isEmpty(left(node(node(z0, z1), x1))), right(node(node(z0, z1), x1)), node(z0, node(right(left(node(node(z0, z1), x1))), right(node(node(z0, z1), x1)))), x2, inc(x2))) COUNT(node(empty, x1), x2) -> c8(IF(isEmpty(node(empty, x1)), isEmpty(left(node(empty, x1))), right(node(empty, x1)), node(empty, node(right(left(node(empty, x1))), right(node(empty, x1)))), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c8(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2))) K tuples: COUNT(empty, x1) -> c14(INC(x1)) COUNT(x0, s(x1)) -> c14(INC(s(x1))) COUNT(empty, s(x1)) -> c14(INC(s(x1))) Defined Rule Symbols: isEmpty_1, left_1, right_1, inc_1 Defined Pair Symbols: INC_1, IF_6, COUNT_2 Compound Symbols: c7_1, c16_1, c17_1, c14_1, c8_1, c9_1, c10_1, c11_1, c12_1, c13_1, c14_2 ---------------------------------------- (183) CdtNarrowingProof (BOTH BOUNDS(ID, ID)) Use narrowing to replace COUNT(empty, x1) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) by COUNT(empty, 0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), 0, s(0))) COUNT(empty, s(z0)) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), s(z0), s(inc(z0)))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), empty)), x0, inc(x0))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(empty), right(empty))), x0, inc(x0))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(empty), node(right(left(empty)), right(empty))), x0, inc(x0))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), isEmpty(empty), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x0, inc(x0))) COUNT(empty, x0) -> c8(IF(true, isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x0, inc(x0))) ---------------------------------------- (184) Obligation: Complexity Dependency Tuples Problem Rules: isEmpty(empty) -> true isEmpty(node(z0, z1)) -> false left(empty) -> empty left(node(z0, z1)) -> z0 right(empty) -> empty right(node(z0, z1)) -> z1 inc(0) -> s(0) inc(s(z0)) -> s(inc(z0)) Tuples: INC(s(z0)) -> c7(INC(z0)) IF(false, false, z0, z1, z2, z3) -> c16(COUNT(z1, z2)) IF(false, true, z0, z1, z2, z3) -> c17(COUNT(z0, z3)) COUNT(empty, x1) -> c14(INC(x1)) COUNT(node(z0, z1), x1) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c8(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c8(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, 0) -> c9(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(x0, s(z0)) -> c9(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0)))) COUNT(empty, x1) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1))) COUNT(empty, x1) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c9(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c9(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, 0) -> c10(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(x0, s(z0)) -> c10(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0)))) COUNT(empty, x1) -> c10(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1))) COUNT(empty, x1) -> c10(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c10(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c10(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c10(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, 0) -> c11(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(x0, s(z0)) -> c11(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0)))) COUNT(empty, x1) -> c11(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1))) COUNT(empty, x1) -> c11(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c11(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c11(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c11(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, 0) -> c12(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(x0, s(z0)) -> c12(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0)))) COUNT(empty, x1) -> c12(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1))) COUNT(empty, x1) -> c12(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c12(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c12(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c12(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, 0) -> c13(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(x0, s(z0)) -> c13(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0)))) COUNT(empty, x1) -> c13(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1))) COUNT(empty, x1) -> c13(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c13(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c13(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c13(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, s(0)) -> c14(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(0), s(s(0))), INC(s(0))) COUNT(x0, s(s(z0))) -> c14(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(s(z0)), s(s(inc(z0)))), INC(s(s(z0)))) COUNT(empty, s(x1)) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), s(x1), s(inc(x1))), INC(s(x1))) COUNT(empty, s(x1)) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(empty, s(x1)) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(empty, s(x1)) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(empty, s(x1)) -> c14(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(x0, s(x1)) -> c14(INC(s(x1))) COUNT(empty, s(x1)) -> c14(INC(s(x1))) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), empty)), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), empty)), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), empty)), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x0, inc(x0)), INC(x0)) COUNT(empty, 0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), 0, s(0))) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), z1)), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), z1)), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x2, inc(x2)), INC(x2)) COUNT(node(x0, x1), 0) -> c14(IF(isEmpty(node(x0, x1)), isEmpty(left(node(x0, x1))), right(node(x0, x1)), node(left(left(node(x0, x1))), node(right(left(node(x0, x1))), x1)), 0, s(0))) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(empty, right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(empty), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(empty), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, 0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), 0, s(0))) COUNT(node(node(z0, z1), x1), x2) -> c14(IF(isEmpty(node(node(z0, z1), x1)), isEmpty(left(node(node(z0, z1), x1))), right(node(node(z0, z1), x1)), node(left(left(node(node(z0, z1), x1))), node(z1, right(node(node(z0, z1), x1)))), x2, inc(x2)), INC(x2)) COUNT(node(empty, x1), x2) -> c14(IF(isEmpty(node(empty, x1)), isEmpty(left(node(empty, x1))), right(node(empty, x1)), node(left(left(node(empty, x1))), node(empty, right(node(empty, x1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(z0), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(x0, x1), 0) -> c14(IF(isEmpty(node(x0, x1)), isEmpty(left(node(x0, x1))), right(node(x0, x1)), node(left(left(node(x0, x1))), node(right(x0), right(node(x0, x1)))), 0, s(0))) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(empty, node(right(left(empty)), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(empty), node(right(left(empty)), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, 0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), 0, s(0))) COUNT(node(node(z0, z1), x1), x2) -> c14(IF(isEmpty(node(node(z0, z1), x1)), isEmpty(left(node(node(z0, z1), x1))), right(node(node(z0, z1), x1)), node(z0, node(right(left(node(node(z0, z1), x1))), right(node(node(z0, z1), x1)))), x2, inc(x2)), INC(x2)) COUNT(node(empty, x1), x2) -> c14(IF(isEmpty(node(empty, x1)), isEmpty(left(node(empty, x1))), right(node(empty, x1)), node(empty, node(right(left(node(empty, x1))), right(node(empty, x1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(x0, x1), 0) -> c14(IF(isEmpty(node(x0, x1)), isEmpty(left(node(x0, x1))), right(node(x0, x1)), node(left(x0), node(right(left(node(x0, x1))), right(node(x0, x1)))), 0, s(0))) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(empty), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, 0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), 0, s(0))) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(z0), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(false, isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(x0, x1), 0) -> c14(IF(isEmpty(node(x0, x1)), isEmpty(left(node(x0, x1))), x1, node(left(left(node(x0, x1))), node(right(left(node(x0, x1))), right(node(x0, x1)))), 0, s(0))) COUNT(empty, x0) -> c14(IF(isEmpty(empty), true, right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, 0) -> c14(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), 0, s(0))) COUNT(node(node(z0, z1), x1), x2) -> c14(IF(isEmpty(node(node(z0, z1), x1)), false, right(node(node(z0, z1), x1)), node(left(left(node(node(z0, z1), x1))), node(right(left(node(node(z0, z1), x1))), right(node(node(z0, z1), x1)))), x2, inc(x2)), INC(x2)) COUNT(node(empty, x1), x2) -> c14(IF(isEmpty(node(empty, x1)), true, right(node(empty, x1)), node(left(left(node(empty, x1))), node(right(left(node(empty, x1))), right(node(empty, x1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(false, isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(x0, x1), 0) -> c14(IF(isEmpty(node(x0, x1)), isEmpty(x0), right(node(x0, x1)), node(left(left(node(x0, x1))), node(right(left(node(x0, x1))), right(node(x0, x1)))), 0, s(0))) COUNT(node(x0, x1), 0) -> c14(IF(false, isEmpty(left(node(x0, x1))), right(node(x0, x1)), node(left(left(node(x0, x1))), node(right(left(node(x0, x1))), right(node(x0, x1)))), 0, s(0))) COUNT(empty, 0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), 0, s(0))) COUNT(node(z0, z1), 0) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), 0, s(0))) COUNT(empty, 0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), 0, s(0))) COUNT(node(z0, z1), 0) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), 0, s(0))) COUNT(empty, 0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), 0, s(0))) COUNT(node(z0, z1), 0) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), 0, s(0))) COUNT(empty, 0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), 0, s(0))) COUNT(node(z0, z1), 0) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), 0, s(0))) COUNT(empty, 0) -> c8(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), 0, s(0))) COUNT(node(z0, z1), 0) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), 0, s(0))) COUNT(node(z0, z1), 0) -> c8(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), 0, s(0))) COUNT(x0, s(0)) -> c8(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(0), s(s(0)))) COUNT(x0, s(s(z0))) -> c8(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(s(z0)), s(s(inc(z0))))) COUNT(empty, s(x1)) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), s(x1), s(inc(x1)))) COUNT(node(z0, z1), s(x1)) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), s(x1), s(inc(x1)))) COUNT(empty, s(x1)) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), s(x1), s(inc(x1)))) COUNT(node(z0, z1), s(x1)) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), s(x1), s(inc(x1)))) COUNT(empty, s(x1)) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), s(x1), s(inc(x1)))) COUNT(node(z0, z1), s(x1)) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1)))) COUNT(empty, s(x1)) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), s(x1), s(inc(x1)))) COUNT(node(z0, z1), s(x1)) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1)))) COUNT(empty, s(x1)) -> c8(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), s(x1), s(inc(x1)))) COUNT(node(z0, z1), s(x1)) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1)))) COUNT(node(z0, z1), s(x1)) -> c8(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1)))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), empty)), x0, inc(x0))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), empty)), x0, inc(x0))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), empty)), x0, inc(x0))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x0, inc(x0))) COUNT(node(z0, z1), x2) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), z1)), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), z1)), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c8(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x2, inc(x2))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(empty, right(empty))), x0, inc(x0))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(empty), right(empty))), x0, inc(x0))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(empty), right(empty))), x0, inc(x0))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x0, inc(x0))) COUNT(node(node(z0, z1), x1), x2) -> c8(IF(isEmpty(node(node(z0, z1), x1)), isEmpty(left(node(node(z0, z1), x1))), right(node(node(z0, z1), x1)), node(left(left(node(node(z0, z1), x1))), node(z1, right(node(node(z0, z1), x1)))), x2, inc(x2))) COUNT(node(empty, x1), x2) -> c8(IF(isEmpty(node(empty, x1)), isEmpty(left(node(empty, x1))), right(node(empty, x1)), node(left(left(node(empty, x1))), node(empty, right(node(empty, x1)))), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(z0), right(node(z0, z1)))), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c8(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x2, inc(x2))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(empty, node(right(left(empty)), right(empty))), x0, inc(x0))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(empty), node(right(left(empty)), right(empty))), x0, inc(x0))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x0, inc(x0))) COUNT(node(node(z0, z1), x1), x2) -> c8(IF(isEmpty(node(node(z0, z1), x1)), isEmpty(left(node(node(z0, z1), x1))), right(node(node(z0, z1), x1)), node(z0, node(right(left(node(node(z0, z1), x1))), right(node(node(z0, z1), x1)))), x2, inc(x2))) COUNT(node(empty, x1), x2) -> c8(IF(isEmpty(node(empty, x1)), isEmpty(left(node(empty, x1))), right(node(empty, x1)), node(empty, node(right(left(node(empty, x1))), right(node(empty, x1)))), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c8(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), isEmpty(empty), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x0, inc(x0))) COUNT(empty, x0) -> c8(IF(true, isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x0, inc(x0))) S tuples: INC(s(z0)) -> c7(INC(z0)) IF(false, false, z0, z1, z2, z3) -> c16(COUNT(z1, z2)) IF(false, true, z0, z1, z2, z3) -> c17(COUNT(z0, z3)) COUNT(node(z0, z1), x1) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c8(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c8(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, 0) -> c9(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(x0, s(z0)) -> c9(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0)))) COUNT(empty, x1) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1))) COUNT(empty, x1) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c9(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c9(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, 0) -> c10(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(x0, s(z0)) -> c10(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0)))) COUNT(empty, x1) -> c10(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1))) COUNT(empty, x1) -> c10(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c10(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c10(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c10(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, 0) -> c11(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(x0, s(z0)) -> c11(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0)))) COUNT(empty, x1) -> c11(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1))) COUNT(empty, x1) -> c11(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c11(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c11(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c11(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, 0) -> c12(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(x0, s(z0)) -> c12(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0)))) COUNT(empty, x1) -> c12(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1))) COUNT(empty, x1) -> c12(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c12(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c12(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c12(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, 0) -> c13(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(x0, s(z0)) -> c13(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0)))) COUNT(empty, x1) -> c13(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1))) COUNT(empty, x1) -> c13(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c13(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c13(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c13(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, s(0)) -> c14(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(0), s(s(0))), INC(s(0))) COUNT(x0, s(s(z0))) -> c14(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(s(z0)), s(s(inc(z0)))), INC(s(s(z0)))) COUNT(empty, s(x1)) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), s(x1), s(inc(x1))), INC(s(x1))) COUNT(empty, s(x1)) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(empty, s(x1)) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(empty, s(x1)) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(empty, s(x1)) -> c14(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), empty)), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), empty)), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), empty)), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x0, inc(x0)), INC(x0)) COUNT(empty, 0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), 0, s(0))) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), z1)), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), z1)), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x2, inc(x2)), INC(x2)) COUNT(node(x0, x1), 0) -> c14(IF(isEmpty(node(x0, x1)), isEmpty(left(node(x0, x1))), right(node(x0, x1)), node(left(left(node(x0, x1))), node(right(left(node(x0, x1))), x1)), 0, s(0))) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(empty, right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(empty), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(empty), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, 0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), 0, s(0))) COUNT(node(node(z0, z1), x1), x2) -> c14(IF(isEmpty(node(node(z0, z1), x1)), isEmpty(left(node(node(z0, z1), x1))), right(node(node(z0, z1), x1)), node(left(left(node(node(z0, z1), x1))), node(z1, right(node(node(z0, z1), x1)))), x2, inc(x2)), INC(x2)) COUNT(node(empty, x1), x2) -> c14(IF(isEmpty(node(empty, x1)), isEmpty(left(node(empty, x1))), right(node(empty, x1)), node(left(left(node(empty, x1))), node(empty, right(node(empty, x1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(z0), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(x0, x1), 0) -> c14(IF(isEmpty(node(x0, x1)), isEmpty(left(node(x0, x1))), right(node(x0, x1)), node(left(left(node(x0, x1))), node(right(x0), right(node(x0, x1)))), 0, s(0))) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(empty, node(right(left(empty)), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(empty), node(right(left(empty)), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, 0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), 0, s(0))) COUNT(node(node(z0, z1), x1), x2) -> c14(IF(isEmpty(node(node(z0, z1), x1)), isEmpty(left(node(node(z0, z1), x1))), right(node(node(z0, z1), x1)), node(z0, node(right(left(node(node(z0, z1), x1))), right(node(node(z0, z1), x1)))), x2, inc(x2)), INC(x2)) COUNT(node(empty, x1), x2) -> c14(IF(isEmpty(node(empty, x1)), isEmpty(left(node(empty, x1))), right(node(empty, x1)), node(empty, node(right(left(node(empty, x1))), right(node(empty, x1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(x0, x1), 0) -> c14(IF(isEmpty(node(x0, x1)), isEmpty(left(node(x0, x1))), right(node(x0, x1)), node(left(x0), node(right(left(node(x0, x1))), right(node(x0, x1)))), 0, s(0))) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(empty), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, 0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), 0, s(0))) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(z0), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(false, isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(x0, x1), 0) -> c14(IF(isEmpty(node(x0, x1)), isEmpty(left(node(x0, x1))), x1, node(left(left(node(x0, x1))), node(right(left(node(x0, x1))), right(node(x0, x1)))), 0, s(0))) COUNT(empty, x0) -> c14(IF(isEmpty(empty), true, right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, 0) -> c14(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), 0, s(0))) COUNT(node(node(z0, z1), x1), x2) -> c14(IF(isEmpty(node(node(z0, z1), x1)), false, right(node(node(z0, z1), x1)), node(left(left(node(node(z0, z1), x1))), node(right(left(node(node(z0, z1), x1))), right(node(node(z0, z1), x1)))), x2, inc(x2)), INC(x2)) COUNT(node(empty, x1), x2) -> c14(IF(isEmpty(node(empty, x1)), true, right(node(empty, x1)), node(left(left(node(empty, x1))), node(right(left(node(empty, x1))), right(node(empty, x1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(false, isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(x0, x1), 0) -> c14(IF(isEmpty(node(x0, x1)), isEmpty(x0), right(node(x0, x1)), node(left(left(node(x0, x1))), node(right(left(node(x0, x1))), right(node(x0, x1)))), 0, s(0))) COUNT(node(x0, x1), 0) -> c14(IF(false, isEmpty(left(node(x0, x1))), right(node(x0, x1)), node(left(left(node(x0, x1))), node(right(left(node(x0, x1))), right(node(x0, x1)))), 0, s(0))) COUNT(empty, 0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), 0, s(0))) COUNT(node(z0, z1), 0) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), 0, s(0))) COUNT(empty, 0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), 0, s(0))) COUNT(node(z0, z1), 0) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), 0, s(0))) COUNT(empty, 0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), 0, s(0))) COUNT(node(z0, z1), 0) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), 0, s(0))) COUNT(empty, 0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), 0, s(0))) COUNT(node(z0, z1), 0) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), 0, s(0))) COUNT(empty, 0) -> c8(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), 0, s(0))) COUNT(node(z0, z1), 0) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), 0, s(0))) COUNT(node(z0, z1), 0) -> c8(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), 0, s(0))) COUNT(x0, s(0)) -> c8(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(0), s(s(0)))) COUNT(x0, s(s(z0))) -> c8(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(s(z0)), s(s(inc(z0))))) COUNT(empty, s(x1)) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), s(x1), s(inc(x1)))) COUNT(node(z0, z1), s(x1)) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), s(x1), s(inc(x1)))) COUNT(empty, s(x1)) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), s(x1), s(inc(x1)))) COUNT(node(z0, z1), s(x1)) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), s(x1), s(inc(x1)))) COUNT(empty, s(x1)) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), s(x1), s(inc(x1)))) COUNT(node(z0, z1), s(x1)) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1)))) COUNT(empty, s(x1)) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), s(x1), s(inc(x1)))) COUNT(node(z0, z1), s(x1)) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1)))) COUNT(empty, s(x1)) -> c8(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), s(x1), s(inc(x1)))) COUNT(node(z0, z1), s(x1)) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1)))) COUNT(node(z0, z1), s(x1)) -> c8(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1)))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), empty)), x0, inc(x0))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), empty)), x0, inc(x0))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), empty)), x0, inc(x0))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x0, inc(x0))) COUNT(node(z0, z1), x2) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), z1)), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), z1)), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c8(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x2, inc(x2))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(empty, right(empty))), x0, inc(x0))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(empty), right(empty))), x0, inc(x0))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(empty), right(empty))), x0, inc(x0))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x0, inc(x0))) COUNT(node(node(z0, z1), x1), x2) -> c8(IF(isEmpty(node(node(z0, z1), x1)), isEmpty(left(node(node(z0, z1), x1))), right(node(node(z0, z1), x1)), node(left(left(node(node(z0, z1), x1))), node(z1, right(node(node(z0, z1), x1)))), x2, inc(x2))) COUNT(node(empty, x1), x2) -> c8(IF(isEmpty(node(empty, x1)), isEmpty(left(node(empty, x1))), right(node(empty, x1)), node(left(left(node(empty, x1))), node(empty, right(node(empty, x1)))), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(z0), right(node(z0, z1)))), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c8(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x2, inc(x2))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(empty, node(right(left(empty)), right(empty))), x0, inc(x0))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(empty), node(right(left(empty)), right(empty))), x0, inc(x0))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x0, inc(x0))) COUNT(node(node(z0, z1), x1), x2) -> c8(IF(isEmpty(node(node(z0, z1), x1)), isEmpty(left(node(node(z0, z1), x1))), right(node(node(z0, z1), x1)), node(z0, node(right(left(node(node(z0, z1), x1))), right(node(node(z0, z1), x1)))), x2, inc(x2))) COUNT(node(empty, x1), x2) -> c8(IF(isEmpty(node(empty, x1)), isEmpty(left(node(empty, x1))), right(node(empty, x1)), node(empty, node(right(left(node(empty, x1))), right(node(empty, x1)))), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c8(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), isEmpty(empty), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x0, inc(x0))) COUNT(empty, x0) -> c8(IF(true, isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x0, inc(x0))) K tuples: COUNT(empty, x1) -> c14(INC(x1)) COUNT(x0, s(x1)) -> c14(INC(s(x1))) COUNT(empty, s(x1)) -> c14(INC(s(x1))) Defined Rule Symbols: isEmpty_1, left_1, right_1, inc_1 Defined Pair Symbols: INC_1, IF_6, COUNT_2 Compound Symbols: c7_1, c16_1, c17_1, c14_1, c8_1, c9_1, c10_1, c11_1, c12_1, c13_1, c14_2 ---------------------------------------- (185) CdtLeafRemovalProof (BOTH BOUNDS(ID, ID)) Removed 1 trailing nodes: COUNT(empty, x0) -> c8(IF(true, isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x0, inc(x0))) ---------------------------------------- (186) Obligation: Complexity Dependency Tuples Problem Rules: isEmpty(empty) -> true isEmpty(node(z0, z1)) -> false left(empty) -> empty left(node(z0, z1)) -> z0 right(empty) -> empty right(node(z0, z1)) -> z1 inc(0) -> s(0) inc(s(z0)) -> s(inc(z0)) Tuples: INC(s(z0)) -> c7(INC(z0)) IF(false, false, z0, z1, z2, z3) -> c16(COUNT(z1, z2)) IF(false, true, z0, z1, z2, z3) -> c17(COUNT(z0, z3)) COUNT(empty, x1) -> c14(INC(x1)) COUNT(node(z0, z1), x1) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c8(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c8(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, 0) -> c9(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(x0, s(z0)) -> c9(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0)))) COUNT(empty, x1) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1))) COUNT(empty, x1) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c9(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c9(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, 0) -> c10(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(x0, s(z0)) -> c10(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0)))) COUNT(empty, x1) -> c10(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1))) COUNT(empty, x1) -> c10(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c10(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c10(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c10(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, 0) -> c11(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(x0, s(z0)) -> c11(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0)))) COUNT(empty, x1) -> c11(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1))) COUNT(empty, x1) -> c11(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c11(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c11(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c11(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, 0) -> c12(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(x0, s(z0)) -> c12(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0)))) COUNT(empty, x1) -> c12(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1))) COUNT(empty, x1) -> c12(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c12(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c12(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c12(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, 0) -> c13(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(x0, s(z0)) -> c13(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0)))) COUNT(empty, x1) -> c13(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1))) COUNT(empty, x1) -> c13(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c13(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c13(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c13(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, s(0)) -> c14(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(0), s(s(0))), INC(s(0))) COUNT(x0, s(s(z0))) -> c14(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(s(z0)), s(s(inc(z0)))), INC(s(s(z0)))) COUNT(empty, s(x1)) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), s(x1), s(inc(x1))), INC(s(x1))) COUNT(empty, s(x1)) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(empty, s(x1)) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(empty, s(x1)) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(empty, s(x1)) -> c14(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(x0, s(x1)) -> c14(INC(s(x1))) COUNT(empty, s(x1)) -> c14(INC(s(x1))) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), empty)), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), empty)), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), empty)), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x0, inc(x0)), INC(x0)) COUNT(empty, 0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), 0, s(0))) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), z1)), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), z1)), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x2, inc(x2)), INC(x2)) COUNT(node(x0, x1), 0) -> c14(IF(isEmpty(node(x0, x1)), isEmpty(left(node(x0, x1))), right(node(x0, x1)), node(left(left(node(x0, x1))), node(right(left(node(x0, x1))), x1)), 0, s(0))) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(empty, right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(empty), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(empty), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, 0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), 0, s(0))) COUNT(node(node(z0, z1), x1), x2) -> c14(IF(isEmpty(node(node(z0, z1), x1)), isEmpty(left(node(node(z0, z1), x1))), right(node(node(z0, z1), x1)), node(left(left(node(node(z0, z1), x1))), node(z1, right(node(node(z0, z1), x1)))), x2, inc(x2)), INC(x2)) COUNT(node(empty, x1), x2) -> c14(IF(isEmpty(node(empty, x1)), isEmpty(left(node(empty, x1))), right(node(empty, x1)), node(left(left(node(empty, x1))), node(empty, right(node(empty, x1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(z0), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(x0, x1), 0) -> c14(IF(isEmpty(node(x0, x1)), isEmpty(left(node(x0, x1))), right(node(x0, x1)), node(left(left(node(x0, x1))), node(right(x0), right(node(x0, x1)))), 0, s(0))) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(empty, node(right(left(empty)), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(empty), node(right(left(empty)), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, 0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), 0, s(0))) COUNT(node(node(z0, z1), x1), x2) -> c14(IF(isEmpty(node(node(z0, z1), x1)), isEmpty(left(node(node(z0, z1), x1))), right(node(node(z0, z1), x1)), node(z0, node(right(left(node(node(z0, z1), x1))), right(node(node(z0, z1), x1)))), x2, inc(x2)), INC(x2)) COUNT(node(empty, x1), x2) -> c14(IF(isEmpty(node(empty, x1)), isEmpty(left(node(empty, x1))), right(node(empty, x1)), node(empty, node(right(left(node(empty, x1))), right(node(empty, x1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(x0, x1), 0) -> c14(IF(isEmpty(node(x0, x1)), isEmpty(left(node(x0, x1))), right(node(x0, x1)), node(left(x0), node(right(left(node(x0, x1))), right(node(x0, x1)))), 0, s(0))) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(empty), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, 0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), 0, s(0))) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(z0), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(false, isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(x0, x1), 0) -> c14(IF(isEmpty(node(x0, x1)), isEmpty(left(node(x0, x1))), x1, node(left(left(node(x0, x1))), node(right(left(node(x0, x1))), right(node(x0, x1)))), 0, s(0))) COUNT(empty, x0) -> c14(IF(isEmpty(empty), true, right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, 0) -> c14(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), 0, s(0))) COUNT(node(node(z0, z1), x1), x2) -> c14(IF(isEmpty(node(node(z0, z1), x1)), false, right(node(node(z0, z1), x1)), node(left(left(node(node(z0, z1), x1))), node(right(left(node(node(z0, z1), x1))), right(node(node(z0, z1), x1)))), x2, inc(x2)), INC(x2)) COUNT(node(empty, x1), x2) -> c14(IF(isEmpty(node(empty, x1)), true, right(node(empty, x1)), node(left(left(node(empty, x1))), node(right(left(node(empty, x1))), right(node(empty, x1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(false, isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(x0, x1), 0) -> c14(IF(isEmpty(node(x0, x1)), isEmpty(x0), right(node(x0, x1)), node(left(left(node(x0, x1))), node(right(left(node(x0, x1))), right(node(x0, x1)))), 0, s(0))) COUNT(node(x0, x1), 0) -> c14(IF(false, isEmpty(left(node(x0, x1))), right(node(x0, x1)), node(left(left(node(x0, x1))), node(right(left(node(x0, x1))), right(node(x0, x1)))), 0, s(0))) COUNT(empty, 0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), 0, s(0))) COUNT(node(z0, z1), 0) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), 0, s(0))) COUNT(empty, 0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), 0, s(0))) COUNT(node(z0, z1), 0) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), 0, s(0))) COUNT(empty, 0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), 0, s(0))) COUNT(node(z0, z1), 0) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), 0, s(0))) COUNT(empty, 0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), 0, s(0))) COUNT(node(z0, z1), 0) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), 0, s(0))) COUNT(empty, 0) -> c8(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), 0, s(0))) COUNT(node(z0, z1), 0) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), 0, s(0))) COUNT(node(z0, z1), 0) -> c8(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), 0, s(0))) COUNT(x0, s(0)) -> c8(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(0), s(s(0)))) COUNT(x0, s(s(z0))) -> c8(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(s(z0)), s(s(inc(z0))))) COUNT(empty, s(x1)) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), s(x1), s(inc(x1)))) COUNT(node(z0, z1), s(x1)) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), s(x1), s(inc(x1)))) COUNT(empty, s(x1)) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), s(x1), s(inc(x1)))) COUNT(node(z0, z1), s(x1)) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), s(x1), s(inc(x1)))) COUNT(empty, s(x1)) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), s(x1), s(inc(x1)))) COUNT(node(z0, z1), s(x1)) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1)))) COUNT(empty, s(x1)) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), s(x1), s(inc(x1)))) COUNT(node(z0, z1), s(x1)) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1)))) COUNT(empty, s(x1)) -> c8(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), s(x1), s(inc(x1)))) COUNT(node(z0, z1), s(x1)) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1)))) COUNT(node(z0, z1), s(x1)) -> c8(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1)))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), empty)), x0, inc(x0))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), empty)), x0, inc(x0))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), empty)), x0, inc(x0))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x0, inc(x0))) COUNT(node(z0, z1), x2) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), z1)), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), z1)), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c8(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x2, inc(x2))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(empty, right(empty))), x0, inc(x0))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(empty), right(empty))), x0, inc(x0))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(empty), right(empty))), x0, inc(x0))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x0, inc(x0))) COUNT(node(node(z0, z1), x1), x2) -> c8(IF(isEmpty(node(node(z0, z1), x1)), isEmpty(left(node(node(z0, z1), x1))), right(node(node(z0, z1), x1)), node(left(left(node(node(z0, z1), x1))), node(z1, right(node(node(z0, z1), x1)))), x2, inc(x2))) COUNT(node(empty, x1), x2) -> c8(IF(isEmpty(node(empty, x1)), isEmpty(left(node(empty, x1))), right(node(empty, x1)), node(left(left(node(empty, x1))), node(empty, right(node(empty, x1)))), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(z0), right(node(z0, z1)))), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c8(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x2, inc(x2))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(empty, node(right(left(empty)), right(empty))), x0, inc(x0))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(empty), node(right(left(empty)), right(empty))), x0, inc(x0))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x0, inc(x0))) COUNT(node(node(z0, z1), x1), x2) -> c8(IF(isEmpty(node(node(z0, z1), x1)), isEmpty(left(node(node(z0, z1), x1))), right(node(node(z0, z1), x1)), node(z0, node(right(left(node(node(z0, z1), x1))), right(node(node(z0, z1), x1)))), x2, inc(x2))) COUNT(node(empty, x1), x2) -> c8(IF(isEmpty(node(empty, x1)), isEmpty(left(node(empty, x1))), right(node(empty, x1)), node(empty, node(right(left(node(empty, x1))), right(node(empty, x1)))), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c8(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), isEmpty(empty), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x0, inc(x0))) S tuples: INC(s(z0)) -> c7(INC(z0)) IF(false, false, z0, z1, z2, z3) -> c16(COUNT(z1, z2)) IF(false, true, z0, z1, z2, z3) -> c17(COUNT(z0, z3)) COUNT(node(z0, z1), x1) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c8(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c8(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, 0) -> c9(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(x0, s(z0)) -> c9(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0)))) COUNT(empty, x1) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1))) COUNT(empty, x1) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c9(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c9(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, 0) -> c10(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(x0, s(z0)) -> c10(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0)))) COUNT(empty, x1) -> c10(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1))) COUNT(empty, x1) -> c10(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c10(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c10(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c10(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, 0) -> c11(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(x0, s(z0)) -> c11(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0)))) COUNT(empty, x1) -> c11(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1))) COUNT(empty, x1) -> c11(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c11(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c11(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c11(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, 0) -> c12(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(x0, s(z0)) -> c12(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0)))) COUNT(empty, x1) -> c12(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1))) COUNT(empty, x1) -> c12(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c12(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c12(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c12(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, 0) -> c13(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(x0, s(z0)) -> c13(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0)))) COUNT(empty, x1) -> c13(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1))) COUNT(empty, x1) -> c13(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c13(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c13(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c13(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, s(0)) -> c14(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(0), s(s(0))), INC(s(0))) COUNT(x0, s(s(z0))) -> c14(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(s(z0)), s(s(inc(z0)))), INC(s(s(z0)))) COUNT(empty, s(x1)) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), s(x1), s(inc(x1))), INC(s(x1))) COUNT(empty, s(x1)) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(empty, s(x1)) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(empty, s(x1)) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(empty, s(x1)) -> c14(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), empty)), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), empty)), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), empty)), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x0, inc(x0)), INC(x0)) COUNT(empty, 0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), 0, s(0))) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), z1)), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), z1)), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x2, inc(x2)), INC(x2)) COUNT(node(x0, x1), 0) -> c14(IF(isEmpty(node(x0, x1)), isEmpty(left(node(x0, x1))), right(node(x0, x1)), node(left(left(node(x0, x1))), node(right(left(node(x0, x1))), x1)), 0, s(0))) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(empty, right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(empty), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(empty), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, 0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), 0, s(0))) COUNT(node(node(z0, z1), x1), x2) -> c14(IF(isEmpty(node(node(z0, z1), x1)), isEmpty(left(node(node(z0, z1), x1))), right(node(node(z0, z1), x1)), node(left(left(node(node(z0, z1), x1))), node(z1, right(node(node(z0, z1), x1)))), x2, inc(x2)), INC(x2)) COUNT(node(empty, x1), x2) -> c14(IF(isEmpty(node(empty, x1)), isEmpty(left(node(empty, x1))), right(node(empty, x1)), node(left(left(node(empty, x1))), node(empty, right(node(empty, x1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(z0), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(x0, x1), 0) -> c14(IF(isEmpty(node(x0, x1)), isEmpty(left(node(x0, x1))), right(node(x0, x1)), node(left(left(node(x0, x1))), node(right(x0), right(node(x0, x1)))), 0, s(0))) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(empty, node(right(left(empty)), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(empty), node(right(left(empty)), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, 0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), 0, s(0))) COUNT(node(node(z0, z1), x1), x2) -> c14(IF(isEmpty(node(node(z0, z1), x1)), isEmpty(left(node(node(z0, z1), x1))), right(node(node(z0, z1), x1)), node(z0, node(right(left(node(node(z0, z1), x1))), right(node(node(z0, z1), x1)))), x2, inc(x2)), INC(x2)) COUNT(node(empty, x1), x2) -> c14(IF(isEmpty(node(empty, x1)), isEmpty(left(node(empty, x1))), right(node(empty, x1)), node(empty, node(right(left(node(empty, x1))), right(node(empty, x1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(x0, x1), 0) -> c14(IF(isEmpty(node(x0, x1)), isEmpty(left(node(x0, x1))), right(node(x0, x1)), node(left(x0), node(right(left(node(x0, x1))), right(node(x0, x1)))), 0, s(0))) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(empty), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, 0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), 0, s(0))) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(z0), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(false, isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(x0, x1), 0) -> c14(IF(isEmpty(node(x0, x1)), isEmpty(left(node(x0, x1))), x1, node(left(left(node(x0, x1))), node(right(left(node(x0, x1))), right(node(x0, x1)))), 0, s(0))) COUNT(empty, x0) -> c14(IF(isEmpty(empty), true, right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, 0) -> c14(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), 0, s(0))) COUNT(node(node(z0, z1), x1), x2) -> c14(IF(isEmpty(node(node(z0, z1), x1)), false, right(node(node(z0, z1), x1)), node(left(left(node(node(z0, z1), x1))), node(right(left(node(node(z0, z1), x1))), right(node(node(z0, z1), x1)))), x2, inc(x2)), INC(x2)) COUNT(node(empty, x1), x2) -> c14(IF(isEmpty(node(empty, x1)), true, right(node(empty, x1)), node(left(left(node(empty, x1))), node(right(left(node(empty, x1))), right(node(empty, x1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(false, isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(x0, x1), 0) -> c14(IF(isEmpty(node(x0, x1)), isEmpty(x0), right(node(x0, x1)), node(left(left(node(x0, x1))), node(right(left(node(x0, x1))), right(node(x0, x1)))), 0, s(0))) COUNT(node(x0, x1), 0) -> c14(IF(false, isEmpty(left(node(x0, x1))), right(node(x0, x1)), node(left(left(node(x0, x1))), node(right(left(node(x0, x1))), right(node(x0, x1)))), 0, s(0))) COUNT(empty, 0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), 0, s(0))) COUNT(node(z0, z1), 0) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), 0, s(0))) COUNT(empty, 0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), 0, s(0))) COUNT(node(z0, z1), 0) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), 0, s(0))) COUNT(empty, 0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), 0, s(0))) COUNT(node(z0, z1), 0) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), 0, s(0))) COUNT(empty, 0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), 0, s(0))) COUNT(node(z0, z1), 0) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), 0, s(0))) COUNT(empty, 0) -> c8(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), 0, s(0))) COUNT(node(z0, z1), 0) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), 0, s(0))) COUNT(node(z0, z1), 0) -> c8(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), 0, s(0))) COUNT(x0, s(0)) -> c8(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(0), s(s(0)))) COUNT(x0, s(s(z0))) -> c8(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(s(z0)), s(s(inc(z0))))) COUNT(empty, s(x1)) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), s(x1), s(inc(x1)))) COUNT(node(z0, z1), s(x1)) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), s(x1), s(inc(x1)))) COUNT(empty, s(x1)) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), s(x1), s(inc(x1)))) COUNT(node(z0, z1), s(x1)) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), s(x1), s(inc(x1)))) COUNT(empty, s(x1)) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), s(x1), s(inc(x1)))) COUNT(node(z0, z1), s(x1)) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1)))) COUNT(empty, s(x1)) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), s(x1), s(inc(x1)))) COUNT(node(z0, z1), s(x1)) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1)))) COUNT(empty, s(x1)) -> c8(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), s(x1), s(inc(x1)))) COUNT(node(z0, z1), s(x1)) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1)))) COUNT(node(z0, z1), s(x1)) -> c8(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1)))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), empty)), x0, inc(x0))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), empty)), x0, inc(x0))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), empty)), x0, inc(x0))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x0, inc(x0))) COUNT(node(z0, z1), x2) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), z1)), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), z1)), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c8(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x2, inc(x2))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(empty, right(empty))), x0, inc(x0))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(empty), right(empty))), x0, inc(x0))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(empty), right(empty))), x0, inc(x0))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x0, inc(x0))) COUNT(node(node(z0, z1), x1), x2) -> c8(IF(isEmpty(node(node(z0, z1), x1)), isEmpty(left(node(node(z0, z1), x1))), right(node(node(z0, z1), x1)), node(left(left(node(node(z0, z1), x1))), node(z1, right(node(node(z0, z1), x1)))), x2, inc(x2))) COUNT(node(empty, x1), x2) -> c8(IF(isEmpty(node(empty, x1)), isEmpty(left(node(empty, x1))), right(node(empty, x1)), node(left(left(node(empty, x1))), node(empty, right(node(empty, x1)))), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(z0), right(node(z0, z1)))), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c8(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x2, inc(x2))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(empty, node(right(left(empty)), right(empty))), x0, inc(x0))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(empty), node(right(left(empty)), right(empty))), x0, inc(x0))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x0, inc(x0))) COUNT(node(node(z0, z1), x1), x2) -> c8(IF(isEmpty(node(node(z0, z1), x1)), isEmpty(left(node(node(z0, z1), x1))), right(node(node(z0, z1), x1)), node(z0, node(right(left(node(node(z0, z1), x1))), right(node(node(z0, z1), x1)))), x2, inc(x2))) COUNT(node(empty, x1), x2) -> c8(IF(isEmpty(node(empty, x1)), isEmpty(left(node(empty, x1))), right(node(empty, x1)), node(empty, node(right(left(node(empty, x1))), right(node(empty, x1)))), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c8(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), isEmpty(empty), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x0, inc(x0))) K tuples: COUNT(empty, x1) -> c14(INC(x1)) COUNT(x0, s(x1)) -> c14(INC(s(x1))) COUNT(empty, s(x1)) -> c14(INC(s(x1))) Defined Rule Symbols: isEmpty_1, left_1, right_1, inc_1 Defined Pair Symbols: INC_1, IF_6, COUNT_2 Compound Symbols: c7_1, c16_1, c17_1, c14_1, c8_1, c9_1, c10_1, c11_1, c12_1, c13_1, c14_2 ---------------------------------------- (187) CdtNarrowingProof (BOTH BOUNDS(ID, ID)) Use narrowing to replace COUNT(node(z0, z1), x1) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) by COUNT(node(x0, x1), 0) -> c8(IF(isEmpty(node(x0, x1)), isEmpty(left(node(x0, x1))), x1, node(left(left(node(x0, x1))), node(right(left(node(x0, x1))), right(node(x0, x1)))), 0, s(0))) COUNT(node(x0, x1), s(z0)) -> c8(IF(isEmpty(node(x0, x1)), isEmpty(left(node(x0, x1))), x1, node(left(left(node(x0, x1))), node(right(left(node(x0, x1))), right(node(x0, x1)))), s(z0), s(inc(z0)))) COUNT(node(z0, z1), x2) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(z0), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c8(IF(false, isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2))) ---------------------------------------- (188) Obligation: Complexity Dependency Tuples Problem Rules: isEmpty(empty) -> true isEmpty(node(z0, z1)) -> false left(empty) -> empty left(node(z0, z1)) -> z0 right(empty) -> empty right(node(z0, z1)) -> z1 inc(0) -> s(0) inc(s(z0)) -> s(inc(z0)) Tuples: INC(s(z0)) -> c7(INC(z0)) IF(false, false, z0, z1, z2, z3) -> c16(COUNT(z1, z2)) IF(false, true, z0, z1, z2, z3) -> c17(COUNT(z0, z3)) COUNT(empty, x1) -> c14(INC(x1)) COUNT(empty, x1) -> c8(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c8(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, 0) -> c9(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(x0, s(z0)) -> c9(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0)))) COUNT(empty, x1) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1))) COUNT(empty, x1) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c9(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c9(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, 0) -> c10(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(x0, s(z0)) -> c10(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0)))) COUNT(empty, x1) -> c10(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1))) COUNT(empty, x1) -> c10(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c10(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c10(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c10(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, 0) -> c11(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(x0, s(z0)) -> c11(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0)))) COUNT(empty, x1) -> c11(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1))) COUNT(empty, x1) -> c11(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c11(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c11(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c11(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, 0) -> c12(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(x0, s(z0)) -> c12(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0)))) COUNT(empty, x1) -> c12(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1))) COUNT(empty, x1) -> c12(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c12(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c12(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c12(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, 0) -> c13(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(x0, s(z0)) -> c13(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0)))) COUNT(empty, x1) -> c13(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1))) COUNT(empty, x1) -> c13(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c13(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c13(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c13(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, s(0)) -> c14(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(0), s(s(0))), INC(s(0))) COUNT(x0, s(s(z0))) -> c14(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(s(z0)), s(s(inc(z0)))), INC(s(s(z0)))) COUNT(empty, s(x1)) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), s(x1), s(inc(x1))), INC(s(x1))) COUNT(empty, s(x1)) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(empty, s(x1)) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(empty, s(x1)) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(empty, s(x1)) -> c14(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(x0, s(x1)) -> c14(INC(s(x1))) COUNT(empty, s(x1)) -> c14(INC(s(x1))) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), empty)), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), empty)), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), empty)), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x0, inc(x0)), INC(x0)) COUNT(empty, 0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), 0, s(0))) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), z1)), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), z1)), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x2, inc(x2)), INC(x2)) COUNT(node(x0, x1), 0) -> c14(IF(isEmpty(node(x0, x1)), isEmpty(left(node(x0, x1))), right(node(x0, x1)), node(left(left(node(x0, x1))), node(right(left(node(x0, x1))), x1)), 0, s(0))) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(empty, right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(empty), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(empty), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, 0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), 0, s(0))) COUNT(node(node(z0, z1), x1), x2) -> c14(IF(isEmpty(node(node(z0, z1), x1)), isEmpty(left(node(node(z0, z1), x1))), right(node(node(z0, z1), x1)), node(left(left(node(node(z0, z1), x1))), node(z1, right(node(node(z0, z1), x1)))), x2, inc(x2)), INC(x2)) COUNT(node(empty, x1), x2) -> c14(IF(isEmpty(node(empty, x1)), isEmpty(left(node(empty, x1))), right(node(empty, x1)), node(left(left(node(empty, x1))), node(empty, right(node(empty, x1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(z0), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(x0, x1), 0) -> c14(IF(isEmpty(node(x0, x1)), isEmpty(left(node(x0, x1))), right(node(x0, x1)), node(left(left(node(x0, x1))), node(right(x0), right(node(x0, x1)))), 0, s(0))) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(empty, node(right(left(empty)), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(empty), node(right(left(empty)), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, 0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), 0, s(0))) COUNT(node(node(z0, z1), x1), x2) -> c14(IF(isEmpty(node(node(z0, z1), x1)), isEmpty(left(node(node(z0, z1), x1))), right(node(node(z0, z1), x1)), node(z0, node(right(left(node(node(z0, z1), x1))), right(node(node(z0, z1), x1)))), x2, inc(x2)), INC(x2)) COUNT(node(empty, x1), x2) -> c14(IF(isEmpty(node(empty, x1)), isEmpty(left(node(empty, x1))), right(node(empty, x1)), node(empty, node(right(left(node(empty, x1))), right(node(empty, x1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(x0, x1), 0) -> c14(IF(isEmpty(node(x0, x1)), isEmpty(left(node(x0, x1))), right(node(x0, x1)), node(left(x0), node(right(left(node(x0, x1))), right(node(x0, x1)))), 0, s(0))) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(empty), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, 0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), 0, s(0))) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(z0), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(false, isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(x0, x1), 0) -> c14(IF(isEmpty(node(x0, x1)), isEmpty(left(node(x0, x1))), x1, node(left(left(node(x0, x1))), node(right(left(node(x0, x1))), right(node(x0, x1)))), 0, s(0))) COUNT(empty, x0) -> c14(IF(isEmpty(empty), true, right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, 0) -> c14(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), 0, s(0))) COUNT(node(node(z0, z1), x1), x2) -> c14(IF(isEmpty(node(node(z0, z1), x1)), false, right(node(node(z0, z1), x1)), node(left(left(node(node(z0, z1), x1))), node(right(left(node(node(z0, z1), x1))), right(node(node(z0, z1), x1)))), x2, inc(x2)), INC(x2)) COUNT(node(empty, x1), x2) -> c14(IF(isEmpty(node(empty, x1)), true, right(node(empty, x1)), node(left(left(node(empty, x1))), node(right(left(node(empty, x1))), right(node(empty, x1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(false, isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(x0, x1), 0) -> c14(IF(isEmpty(node(x0, x1)), isEmpty(x0), right(node(x0, x1)), node(left(left(node(x0, x1))), node(right(left(node(x0, x1))), right(node(x0, x1)))), 0, s(0))) COUNT(node(x0, x1), 0) -> c14(IF(false, isEmpty(left(node(x0, x1))), right(node(x0, x1)), node(left(left(node(x0, x1))), node(right(left(node(x0, x1))), right(node(x0, x1)))), 0, s(0))) COUNT(empty, 0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), 0, s(0))) COUNT(node(z0, z1), 0) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), 0, s(0))) COUNT(empty, 0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), 0, s(0))) COUNT(node(z0, z1), 0) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), 0, s(0))) COUNT(empty, 0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), 0, s(0))) COUNT(node(z0, z1), 0) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), 0, s(0))) COUNT(empty, 0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), 0, s(0))) COUNT(node(z0, z1), 0) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), 0, s(0))) COUNT(empty, 0) -> c8(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), 0, s(0))) COUNT(node(z0, z1), 0) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), 0, s(0))) COUNT(node(z0, z1), 0) -> c8(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), 0, s(0))) COUNT(x0, s(0)) -> c8(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(0), s(s(0)))) COUNT(x0, s(s(z0))) -> c8(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(s(z0)), s(s(inc(z0))))) COUNT(empty, s(x1)) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), s(x1), s(inc(x1)))) COUNT(node(z0, z1), s(x1)) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), s(x1), s(inc(x1)))) COUNT(empty, s(x1)) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), s(x1), s(inc(x1)))) COUNT(node(z0, z1), s(x1)) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), s(x1), s(inc(x1)))) COUNT(empty, s(x1)) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), s(x1), s(inc(x1)))) COUNT(node(z0, z1), s(x1)) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1)))) COUNT(empty, s(x1)) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), s(x1), s(inc(x1)))) COUNT(node(z0, z1), s(x1)) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1)))) COUNT(empty, s(x1)) -> c8(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), s(x1), s(inc(x1)))) COUNT(node(z0, z1), s(x1)) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1)))) COUNT(node(z0, z1), s(x1)) -> c8(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1)))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), empty)), x0, inc(x0))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), empty)), x0, inc(x0))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), empty)), x0, inc(x0))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x0, inc(x0))) COUNT(node(z0, z1), x2) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), z1)), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), z1)), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c8(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x2, inc(x2))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(empty, right(empty))), x0, inc(x0))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(empty), right(empty))), x0, inc(x0))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(empty), right(empty))), x0, inc(x0))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x0, inc(x0))) COUNT(node(node(z0, z1), x1), x2) -> c8(IF(isEmpty(node(node(z0, z1), x1)), isEmpty(left(node(node(z0, z1), x1))), right(node(node(z0, z1), x1)), node(left(left(node(node(z0, z1), x1))), node(z1, right(node(node(z0, z1), x1)))), x2, inc(x2))) COUNT(node(empty, x1), x2) -> c8(IF(isEmpty(node(empty, x1)), isEmpty(left(node(empty, x1))), right(node(empty, x1)), node(left(left(node(empty, x1))), node(empty, right(node(empty, x1)))), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(z0), right(node(z0, z1)))), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c8(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x2, inc(x2))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(empty, node(right(left(empty)), right(empty))), x0, inc(x0))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(empty), node(right(left(empty)), right(empty))), x0, inc(x0))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x0, inc(x0))) COUNT(node(node(z0, z1), x1), x2) -> c8(IF(isEmpty(node(node(z0, z1), x1)), isEmpty(left(node(node(z0, z1), x1))), right(node(node(z0, z1), x1)), node(z0, node(right(left(node(node(z0, z1), x1))), right(node(node(z0, z1), x1)))), x2, inc(x2))) COUNT(node(empty, x1), x2) -> c8(IF(isEmpty(node(empty, x1)), isEmpty(left(node(empty, x1))), right(node(empty, x1)), node(empty, node(right(left(node(empty, x1))), right(node(empty, x1)))), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c8(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), isEmpty(empty), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x0, inc(x0))) COUNT(node(z0, z1), x2) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(z0), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c8(IF(false, isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2))) S tuples: INC(s(z0)) -> c7(INC(z0)) IF(false, false, z0, z1, z2, z3) -> c16(COUNT(z1, z2)) IF(false, true, z0, z1, z2, z3) -> c17(COUNT(z0, z3)) COUNT(empty, x1) -> c8(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c8(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, 0) -> c9(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(x0, s(z0)) -> c9(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0)))) COUNT(empty, x1) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1))) COUNT(empty, x1) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c9(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c9(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, 0) -> c10(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(x0, s(z0)) -> c10(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0)))) COUNT(empty, x1) -> c10(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1))) COUNT(empty, x1) -> c10(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c10(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c10(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c10(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, 0) -> c11(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(x0, s(z0)) -> c11(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0)))) COUNT(empty, x1) -> c11(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1))) COUNT(empty, x1) -> c11(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c11(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c11(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c11(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, 0) -> c12(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(x0, s(z0)) -> c12(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0)))) COUNT(empty, x1) -> c12(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1))) COUNT(empty, x1) -> c12(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c12(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c12(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c12(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, 0) -> c13(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(x0, s(z0)) -> c13(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0)))) COUNT(empty, x1) -> c13(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1))) COUNT(empty, x1) -> c13(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c13(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c13(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c13(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, s(0)) -> c14(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(0), s(s(0))), INC(s(0))) COUNT(x0, s(s(z0))) -> c14(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(s(z0)), s(s(inc(z0)))), INC(s(s(z0)))) COUNT(empty, s(x1)) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), s(x1), s(inc(x1))), INC(s(x1))) COUNT(empty, s(x1)) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(empty, s(x1)) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(empty, s(x1)) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(empty, s(x1)) -> c14(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), empty)), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), empty)), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), empty)), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x0, inc(x0)), INC(x0)) COUNT(empty, 0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), 0, s(0))) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), z1)), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), z1)), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x2, inc(x2)), INC(x2)) COUNT(node(x0, x1), 0) -> c14(IF(isEmpty(node(x0, x1)), isEmpty(left(node(x0, x1))), right(node(x0, x1)), node(left(left(node(x0, x1))), node(right(left(node(x0, x1))), x1)), 0, s(0))) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(empty, right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(empty), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(empty), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, 0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), 0, s(0))) COUNT(node(node(z0, z1), x1), x2) -> c14(IF(isEmpty(node(node(z0, z1), x1)), isEmpty(left(node(node(z0, z1), x1))), right(node(node(z0, z1), x1)), node(left(left(node(node(z0, z1), x1))), node(z1, right(node(node(z0, z1), x1)))), x2, inc(x2)), INC(x2)) COUNT(node(empty, x1), x2) -> c14(IF(isEmpty(node(empty, x1)), isEmpty(left(node(empty, x1))), right(node(empty, x1)), node(left(left(node(empty, x1))), node(empty, right(node(empty, x1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(z0), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(x0, x1), 0) -> c14(IF(isEmpty(node(x0, x1)), isEmpty(left(node(x0, x1))), right(node(x0, x1)), node(left(left(node(x0, x1))), node(right(x0), right(node(x0, x1)))), 0, s(0))) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(empty, node(right(left(empty)), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(empty), node(right(left(empty)), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, 0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), 0, s(0))) COUNT(node(node(z0, z1), x1), x2) -> c14(IF(isEmpty(node(node(z0, z1), x1)), isEmpty(left(node(node(z0, z1), x1))), right(node(node(z0, z1), x1)), node(z0, node(right(left(node(node(z0, z1), x1))), right(node(node(z0, z1), x1)))), x2, inc(x2)), INC(x2)) COUNT(node(empty, x1), x2) -> c14(IF(isEmpty(node(empty, x1)), isEmpty(left(node(empty, x1))), right(node(empty, x1)), node(empty, node(right(left(node(empty, x1))), right(node(empty, x1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(x0, x1), 0) -> c14(IF(isEmpty(node(x0, x1)), isEmpty(left(node(x0, x1))), right(node(x0, x1)), node(left(x0), node(right(left(node(x0, x1))), right(node(x0, x1)))), 0, s(0))) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(empty), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, 0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), 0, s(0))) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(z0), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(false, isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(x0, x1), 0) -> c14(IF(isEmpty(node(x0, x1)), isEmpty(left(node(x0, x1))), x1, node(left(left(node(x0, x1))), node(right(left(node(x0, x1))), right(node(x0, x1)))), 0, s(0))) COUNT(empty, x0) -> c14(IF(isEmpty(empty), true, right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, 0) -> c14(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), 0, s(0))) COUNT(node(node(z0, z1), x1), x2) -> c14(IF(isEmpty(node(node(z0, z1), x1)), false, right(node(node(z0, z1), x1)), node(left(left(node(node(z0, z1), x1))), node(right(left(node(node(z0, z1), x1))), right(node(node(z0, z1), x1)))), x2, inc(x2)), INC(x2)) COUNT(node(empty, x1), x2) -> c14(IF(isEmpty(node(empty, x1)), true, right(node(empty, x1)), node(left(left(node(empty, x1))), node(right(left(node(empty, x1))), right(node(empty, x1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(false, isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(x0, x1), 0) -> c14(IF(isEmpty(node(x0, x1)), isEmpty(x0), right(node(x0, x1)), node(left(left(node(x0, x1))), node(right(left(node(x0, x1))), right(node(x0, x1)))), 0, s(0))) COUNT(node(x0, x1), 0) -> c14(IF(false, isEmpty(left(node(x0, x1))), right(node(x0, x1)), node(left(left(node(x0, x1))), node(right(left(node(x0, x1))), right(node(x0, x1)))), 0, s(0))) COUNT(empty, 0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), 0, s(0))) COUNT(node(z0, z1), 0) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), 0, s(0))) COUNT(empty, 0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), 0, s(0))) COUNT(node(z0, z1), 0) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), 0, s(0))) COUNT(empty, 0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), 0, s(0))) COUNT(node(z0, z1), 0) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), 0, s(0))) COUNT(empty, 0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), 0, s(0))) COUNT(node(z0, z1), 0) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), 0, s(0))) COUNT(empty, 0) -> c8(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), 0, s(0))) COUNT(node(z0, z1), 0) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), 0, s(0))) COUNT(node(z0, z1), 0) -> c8(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), 0, s(0))) COUNT(x0, s(0)) -> c8(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(0), s(s(0)))) COUNT(x0, s(s(z0))) -> c8(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(s(z0)), s(s(inc(z0))))) COUNT(empty, s(x1)) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), s(x1), s(inc(x1)))) COUNT(node(z0, z1), s(x1)) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), s(x1), s(inc(x1)))) COUNT(empty, s(x1)) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), s(x1), s(inc(x1)))) COUNT(node(z0, z1), s(x1)) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), s(x1), s(inc(x1)))) COUNT(empty, s(x1)) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), s(x1), s(inc(x1)))) COUNT(node(z0, z1), s(x1)) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1)))) COUNT(empty, s(x1)) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), s(x1), s(inc(x1)))) COUNT(node(z0, z1), s(x1)) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1)))) COUNT(empty, s(x1)) -> c8(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), s(x1), s(inc(x1)))) COUNT(node(z0, z1), s(x1)) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1)))) COUNT(node(z0, z1), s(x1)) -> c8(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1)))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), empty)), x0, inc(x0))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), empty)), x0, inc(x0))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), empty)), x0, inc(x0))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x0, inc(x0))) COUNT(node(z0, z1), x2) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), z1)), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), z1)), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c8(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x2, inc(x2))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(empty, right(empty))), x0, inc(x0))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(empty), right(empty))), x0, inc(x0))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(empty), right(empty))), x0, inc(x0))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x0, inc(x0))) COUNT(node(node(z0, z1), x1), x2) -> c8(IF(isEmpty(node(node(z0, z1), x1)), isEmpty(left(node(node(z0, z1), x1))), right(node(node(z0, z1), x1)), node(left(left(node(node(z0, z1), x1))), node(z1, right(node(node(z0, z1), x1)))), x2, inc(x2))) COUNT(node(empty, x1), x2) -> c8(IF(isEmpty(node(empty, x1)), isEmpty(left(node(empty, x1))), right(node(empty, x1)), node(left(left(node(empty, x1))), node(empty, right(node(empty, x1)))), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(z0), right(node(z0, z1)))), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c8(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x2, inc(x2))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(empty, node(right(left(empty)), right(empty))), x0, inc(x0))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(empty), node(right(left(empty)), right(empty))), x0, inc(x0))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x0, inc(x0))) COUNT(node(node(z0, z1), x1), x2) -> c8(IF(isEmpty(node(node(z0, z1), x1)), isEmpty(left(node(node(z0, z1), x1))), right(node(node(z0, z1), x1)), node(z0, node(right(left(node(node(z0, z1), x1))), right(node(node(z0, z1), x1)))), x2, inc(x2))) COUNT(node(empty, x1), x2) -> c8(IF(isEmpty(node(empty, x1)), isEmpty(left(node(empty, x1))), right(node(empty, x1)), node(empty, node(right(left(node(empty, x1))), right(node(empty, x1)))), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c8(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), isEmpty(empty), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x0, inc(x0))) COUNT(node(z0, z1), x2) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(z0), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c8(IF(false, isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2))) K tuples: COUNT(empty, x1) -> c14(INC(x1)) COUNT(x0, s(x1)) -> c14(INC(s(x1))) COUNT(empty, s(x1)) -> c14(INC(s(x1))) Defined Rule Symbols: isEmpty_1, left_1, right_1, inc_1 Defined Pair Symbols: INC_1, IF_6, COUNT_2 Compound Symbols: c7_1, c16_1, c17_1, c14_1, c8_1, c9_1, c10_1, c11_1, c12_1, c13_1, c14_2 ---------------------------------------- (189) CdtNarrowingProof (BOTH BOUNDS(ID, ID)) Use narrowing to replace COUNT(empty, x1) -> c8(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) by COUNT(empty, 0) -> c8(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), 0, s(0))) COUNT(empty, s(z0)) -> c8(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), s(z0), s(inc(z0)))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x0, inc(x0))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x0, inc(x0))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x0, inc(x0))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), isEmpty(empty), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x0, inc(x0))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), true, right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x0, inc(x0))) COUNT(empty, x0) -> c8(IF(true, isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x0, inc(x0))) ---------------------------------------- (190) Obligation: Complexity Dependency Tuples Problem Rules: isEmpty(empty) -> true isEmpty(node(z0, z1)) -> false left(empty) -> empty left(node(z0, z1)) -> z0 right(empty) -> empty right(node(z0, z1)) -> z1 inc(0) -> s(0) inc(s(z0)) -> s(inc(z0)) Tuples: INC(s(z0)) -> c7(INC(z0)) IF(false, false, z0, z1, z2, z3) -> c16(COUNT(z1, z2)) IF(false, true, z0, z1, z2, z3) -> c17(COUNT(z0, z3)) COUNT(empty, x1) -> c14(INC(x1)) COUNT(node(z0, z1), x1) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c8(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, 0) -> c9(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(x0, s(z0)) -> c9(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0)))) COUNT(empty, x1) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1))) COUNT(empty, x1) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c9(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c9(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, 0) -> c10(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(x0, s(z0)) -> c10(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0)))) COUNT(empty, x1) -> c10(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1))) COUNT(empty, x1) -> c10(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c10(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c10(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c10(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, 0) -> c11(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(x0, s(z0)) -> c11(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0)))) COUNT(empty, x1) -> c11(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1))) COUNT(empty, x1) -> c11(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c11(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c11(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c11(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, 0) -> c12(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(x0, s(z0)) -> c12(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0)))) COUNT(empty, x1) -> c12(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1))) COUNT(empty, x1) -> c12(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c12(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c12(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c12(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, 0) -> c13(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(x0, s(z0)) -> c13(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0)))) COUNT(empty, x1) -> c13(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1))) COUNT(empty, x1) -> c13(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c13(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c13(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c13(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, s(0)) -> c14(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(0), s(s(0))), INC(s(0))) COUNT(x0, s(s(z0))) -> c14(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(s(z0)), s(s(inc(z0)))), INC(s(s(z0)))) COUNT(empty, s(x1)) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), s(x1), s(inc(x1))), INC(s(x1))) COUNT(empty, s(x1)) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(empty, s(x1)) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(empty, s(x1)) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(empty, s(x1)) -> c14(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(x0, s(x1)) -> c14(INC(s(x1))) COUNT(empty, s(x1)) -> c14(INC(s(x1))) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), empty)), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), empty)), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), empty)), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x0, inc(x0)), INC(x0)) COUNT(empty, 0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), 0, s(0))) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), z1)), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), z1)), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x2, inc(x2)), INC(x2)) COUNT(node(x0, x1), 0) -> c14(IF(isEmpty(node(x0, x1)), isEmpty(left(node(x0, x1))), right(node(x0, x1)), node(left(left(node(x0, x1))), node(right(left(node(x0, x1))), x1)), 0, s(0))) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(empty, right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(empty), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(empty), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, 0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), 0, s(0))) COUNT(node(node(z0, z1), x1), x2) -> c14(IF(isEmpty(node(node(z0, z1), x1)), isEmpty(left(node(node(z0, z1), x1))), right(node(node(z0, z1), x1)), node(left(left(node(node(z0, z1), x1))), node(z1, right(node(node(z0, z1), x1)))), x2, inc(x2)), INC(x2)) COUNT(node(empty, x1), x2) -> c14(IF(isEmpty(node(empty, x1)), isEmpty(left(node(empty, x1))), right(node(empty, x1)), node(left(left(node(empty, x1))), node(empty, right(node(empty, x1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(z0), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(x0, x1), 0) -> c14(IF(isEmpty(node(x0, x1)), isEmpty(left(node(x0, x1))), right(node(x0, x1)), node(left(left(node(x0, x1))), node(right(x0), right(node(x0, x1)))), 0, s(0))) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(empty, node(right(left(empty)), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(empty), node(right(left(empty)), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, 0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), 0, s(0))) COUNT(node(node(z0, z1), x1), x2) -> c14(IF(isEmpty(node(node(z0, z1), x1)), isEmpty(left(node(node(z0, z1), x1))), right(node(node(z0, z1), x1)), node(z0, node(right(left(node(node(z0, z1), x1))), right(node(node(z0, z1), x1)))), x2, inc(x2)), INC(x2)) COUNT(node(empty, x1), x2) -> c14(IF(isEmpty(node(empty, x1)), isEmpty(left(node(empty, x1))), right(node(empty, x1)), node(empty, node(right(left(node(empty, x1))), right(node(empty, x1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(x0, x1), 0) -> c14(IF(isEmpty(node(x0, x1)), isEmpty(left(node(x0, x1))), right(node(x0, x1)), node(left(x0), node(right(left(node(x0, x1))), right(node(x0, x1)))), 0, s(0))) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(empty), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, 0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), 0, s(0))) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(z0), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(false, isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(x0, x1), 0) -> c14(IF(isEmpty(node(x0, x1)), isEmpty(left(node(x0, x1))), x1, node(left(left(node(x0, x1))), node(right(left(node(x0, x1))), right(node(x0, x1)))), 0, s(0))) COUNT(empty, x0) -> c14(IF(isEmpty(empty), true, right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, 0) -> c14(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), 0, s(0))) COUNT(node(node(z0, z1), x1), x2) -> c14(IF(isEmpty(node(node(z0, z1), x1)), false, right(node(node(z0, z1), x1)), node(left(left(node(node(z0, z1), x1))), node(right(left(node(node(z0, z1), x1))), right(node(node(z0, z1), x1)))), x2, inc(x2)), INC(x2)) COUNT(node(empty, x1), x2) -> c14(IF(isEmpty(node(empty, x1)), true, right(node(empty, x1)), node(left(left(node(empty, x1))), node(right(left(node(empty, x1))), right(node(empty, x1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(false, isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(x0, x1), 0) -> c14(IF(isEmpty(node(x0, x1)), isEmpty(x0), right(node(x0, x1)), node(left(left(node(x0, x1))), node(right(left(node(x0, x1))), right(node(x0, x1)))), 0, s(0))) COUNT(node(x0, x1), 0) -> c14(IF(false, isEmpty(left(node(x0, x1))), right(node(x0, x1)), node(left(left(node(x0, x1))), node(right(left(node(x0, x1))), right(node(x0, x1)))), 0, s(0))) COUNT(empty, 0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), 0, s(0))) COUNT(node(z0, z1), 0) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), 0, s(0))) COUNT(empty, 0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), 0, s(0))) COUNT(node(z0, z1), 0) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), 0, s(0))) COUNT(empty, 0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), 0, s(0))) COUNT(node(z0, z1), 0) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), 0, s(0))) COUNT(empty, 0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), 0, s(0))) COUNT(node(z0, z1), 0) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), 0, s(0))) COUNT(empty, 0) -> c8(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), 0, s(0))) COUNT(node(z0, z1), 0) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), 0, s(0))) COUNT(node(z0, z1), 0) -> c8(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), 0, s(0))) COUNT(x0, s(0)) -> c8(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(0), s(s(0)))) COUNT(x0, s(s(z0))) -> c8(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(s(z0)), s(s(inc(z0))))) COUNT(empty, s(x1)) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), s(x1), s(inc(x1)))) COUNT(node(z0, z1), s(x1)) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), s(x1), s(inc(x1)))) COUNT(empty, s(x1)) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), s(x1), s(inc(x1)))) COUNT(node(z0, z1), s(x1)) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), s(x1), s(inc(x1)))) COUNT(empty, s(x1)) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), s(x1), s(inc(x1)))) COUNT(node(z0, z1), s(x1)) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1)))) COUNT(empty, s(x1)) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), s(x1), s(inc(x1)))) COUNT(node(z0, z1), s(x1)) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1)))) COUNT(empty, s(x1)) -> c8(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), s(x1), s(inc(x1)))) COUNT(node(z0, z1), s(x1)) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1)))) COUNT(node(z0, z1), s(x1)) -> c8(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1)))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), empty)), x0, inc(x0))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), empty)), x0, inc(x0))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), empty)), x0, inc(x0))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x0, inc(x0))) COUNT(node(z0, z1), x2) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), z1)), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), z1)), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c8(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x2, inc(x2))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(empty, right(empty))), x0, inc(x0))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(empty), right(empty))), x0, inc(x0))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(empty), right(empty))), x0, inc(x0))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x0, inc(x0))) COUNT(node(node(z0, z1), x1), x2) -> c8(IF(isEmpty(node(node(z0, z1), x1)), isEmpty(left(node(node(z0, z1), x1))), right(node(node(z0, z1), x1)), node(left(left(node(node(z0, z1), x1))), node(z1, right(node(node(z0, z1), x1)))), x2, inc(x2))) COUNT(node(empty, x1), x2) -> c8(IF(isEmpty(node(empty, x1)), isEmpty(left(node(empty, x1))), right(node(empty, x1)), node(left(left(node(empty, x1))), node(empty, right(node(empty, x1)))), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(z0), right(node(z0, z1)))), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c8(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x2, inc(x2))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(empty, node(right(left(empty)), right(empty))), x0, inc(x0))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(empty), node(right(left(empty)), right(empty))), x0, inc(x0))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x0, inc(x0))) COUNT(node(node(z0, z1), x1), x2) -> c8(IF(isEmpty(node(node(z0, z1), x1)), isEmpty(left(node(node(z0, z1), x1))), right(node(node(z0, z1), x1)), node(z0, node(right(left(node(node(z0, z1), x1))), right(node(node(z0, z1), x1)))), x2, inc(x2))) COUNT(node(empty, x1), x2) -> c8(IF(isEmpty(node(empty, x1)), isEmpty(left(node(empty, x1))), right(node(empty, x1)), node(empty, node(right(left(node(empty, x1))), right(node(empty, x1)))), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c8(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), isEmpty(empty), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x0, inc(x0))) COUNT(node(z0, z1), x2) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(z0), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c8(IF(false, isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), true, right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x0, inc(x0))) COUNT(empty, x0) -> c8(IF(true, isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x0, inc(x0))) S tuples: INC(s(z0)) -> c7(INC(z0)) IF(false, false, z0, z1, z2, z3) -> c16(COUNT(z1, z2)) IF(false, true, z0, z1, z2, z3) -> c17(COUNT(z0, z3)) COUNT(node(z0, z1), x1) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c8(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, 0) -> c9(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(x0, s(z0)) -> c9(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0)))) COUNT(empty, x1) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1))) COUNT(empty, x1) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c9(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c9(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, 0) -> c10(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(x0, s(z0)) -> c10(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0)))) COUNT(empty, x1) -> c10(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1))) COUNT(empty, x1) -> c10(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c10(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c10(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c10(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, 0) -> c11(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(x0, s(z0)) -> c11(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0)))) COUNT(empty, x1) -> c11(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1))) COUNT(empty, x1) -> c11(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c11(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c11(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c11(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, 0) -> c12(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(x0, s(z0)) -> c12(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0)))) COUNT(empty, x1) -> c12(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1))) COUNT(empty, x1) -> c12(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c12(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c12(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c12(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, 0) -> c13(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(x0, s(z0)) -> c13(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0)))) COUNT(empty, x1) -> c13(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1))) COUNT(empty, x1) -> c13(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c13(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c13(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c13(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, s(0)) -> c14(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(0), s(s(0))), INC(s(0))) COUNT(x0, s(s(z0))) -> c14(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(s(z0)), s(s(inc(z0)))), INC(s(s(z0)))) COUNT(empty, s(x1)) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), s(x1), s(inc(x1))), INC(s(x1))) COUNT(empty, s(x1)) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(empty, s(x1)) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(empty, s(x1)) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(empty, s(x1)) -> c14(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), empty)), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), empty)), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), empty)), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x0, inc(x0)), INC(x0)) COUNT(empty, 0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), 0, s(0))) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), z1)), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), z1)), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x2, inc(x2)), INC(x2)) COUNT(node(x0, x1), 0) -> c14(IF(isEmpty(node(x0, x1)), isEmpty(left(node(x0, x1))), right(node(x0, x1)), node(left(left(node(x0, x1))), node(right(left(node(x0, x1))), x1)), 0, s(0))) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(empty, right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(empty), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(empty), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, 0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), 0, s(0))) COUNT(node(node(z0, z1), x1), x2) -> c14(IF(isEmpty(node(node(z0, z1), x1)), isEmpty(left(node(node(z0, z1), x1))), right(node(node(z0, z1), x1)), node(left(left(node(node(z0, z1), x1))), node(z1, right(node(node(z0, z1), x1)))), x2, inc(x2)), INC(x2)) COUNT(node(empty, x1), x2) -> c14(IF(isEmpty(node(empty, x1)), isEmpty(left(node(empty, x1))), right(node(empty, x1)), node(left(left(node(empty, x1))), node(empty, right(node(empty, x1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(z0), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(x0, x1), 0) -> c14(IF(isEmpty(node(x0, x1)), isEmpty(left(node(x0, x1))), right(node(x0, x1)), node(left(left(node(x0, x1))), node(right(x0), right(node(x0, x1)))), 0, s(0))) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(empty, node(right(left(empty)), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(empty), node(right(left(empty)), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, 0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), 0, s(0))) COUNT(node(node(z0, z1), x1), x2) -> c14(IF(isEmpty(node(node(z0, z1), x1)), isEmpty(left(node(node(z0, z1), x1))), right(node(node(z0, z1), x1)), node(z0, node(right(left(node(node(z0, z1), x1))), right(node(node(z0, z1), x1)))), x2, inc(x2)), INC(x2)) COUNT(node(empty, x1), x2) -> c14(IF(isEmpty(node(empty, x1)), isEmpty(left(node(empty, x1))), right(node(empty, x1)), node(empty, node(right(left(node(empty, x1))), right(node(empty, x1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(x0, x1), 0) -> c14(IF(isEmpty(node(x0, x1)), isEmpty(left(node(x0, x1))), right(node(x0, x1)), node(left(x0), node(right(left(node(x0, x1))), right(node(x0, x1)))), 0, s(0))) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(empty), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, 0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), 0, s(0))) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(z0), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(false, isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(x0, x1), 0) -> c14(IF(isEmpty(node(x0, x1)), isEmpty(left(node(x0, x1))), x1, node(left(left(node(x0, x1))), node(right(left(node(x0, x1))), right(node(x0, x1)))), 0, s(0))) COUNT(empty, x0) -> c14(IF(isEmpty(empty), true, right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, 0) -> c14(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), 0, s(0))) COUNT(node(node(z0, z1), x1), x2) -> c14(IF(isEmpty(node(node(z0, z1), x1)), false, right(node(node(z0, z1), x1)), node(left(left(node(node(z0, z1), x1))), node(right(left(node(node(z0, z1), x1))), right(node(node(z0, z1), x1)))), x2, inc(x2)), INC(x2)) COUNT(node(empty, x1), x2) -> c14(IF(isEmpty(node(empty, x1)), true, right(node(empty, x1)), node(left(left(node(empty, x1))), node(right(left(node(empty, x1))), right(node(empty, x1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(false, isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(x0, x1), 0) -> c14(IF(isEmpty(node(x0, x1)), isEmpty(x0), right(node(x0, x1)), node(left(left(node(x0, x1))), node(right(left(node(x0, x1))), right(node(x0, x1)))), 0, s(0))) COUNT(node(x0, x1), 0) -> c14(IF(false, isEmpty(left(node(x0, x1))), right(node(x0, x1)), node(left(left(node(x0, x1))), node(right(left(node(x0, x1))), right(node(x0, x1)))), 0, s(0))) COUNT(empty, 0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), 0, s(0))) COUNT(node(z0, z1), 0) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), 0, s(0))) COUNT(empty, 0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), 0, s(0))) COUNT(node(z0, z1), 0) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), 0, s(0))) COUNT(empty, 0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), 0, s(0))) COUNT(node(z0, z1), 0) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), 0, s(0))) COUNT(empty, 0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), 0, s(0))) COUNT(node(z0, z1), 0) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), 0, s(0))) COUNT(empty, 0) -> c8(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), 0, s(0))) COUNT(node(z0, z1), 0) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), 0, s(0))) COUNT(node(z0, z1), 0) -> c8(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), 0, s(0))) COUNT(x0, s(0)) -> c8(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(0), s(s(0)))) COUNT(x0, s(s(z0))) -> c8(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(s(z0)), s(s(inc(z0))))) COUNT(empty, s(x1)) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), s(x1), s(inc(x1)))) COUNT(node(z0, z1), s(x1)) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), s(x1), s(inc(x1)))) COUNT(empty, s(x1)) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), s(x1), s(inc(x1)))) COUNT(node(z0, z1), s(x1)) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), s(x1), s(inc(x1)))) COUNT(empty, s(x1)) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), s(x1), s(inc(x1)))) COUNT(node(z0, z1), s(x1)) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1)))) COUNT(empty, s(x1)) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), s(x1), s(inc(x1)))) COUNT(node(z0, z1), s(x1)) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1)))) COUNT(empty, s(x1)) -> c8(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), s(x1), s(inc(x1)))) COUNT(node(z0, z1), s(x1)) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1)))) COUNT(node(z0, z1), s(x1)) -> c8(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1)))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), empty)), x0, inc(x0))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), empty)), x0, inc(x0))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), empty)), x0, inc(x0))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x0, inc(x0))) COUNT(node(z0, z1), x2) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), z1)), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), z1)), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c8(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x2, inc(x2))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(empty, right(empty))), x0, inc(x0))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(empty), right(empty))), x0, inc(x0))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(empty), right(empty))), x0, inc(x0))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x0, inc(x0))) COUNT(node(node(z0, z1), x1), x2) -> c8(IF(isEmpty(node(node(z0, z1), x1)), isEmpty(left(node(node(z0, z1), x1))), right(node(node(z0, z1), x1)), node(left(left(node(node(z0, z1), x1))), node(z1, right(node(node(z0, z1), x1)))), x2, inc(x2))) COUNT(node(empty, x1), x2) -> c8(IF(isEmpty(node(empty, x1)), isEmpty(left(node(empty, x1))), right(node(empty, x1)), node(left(left(node(empty, x1))), node(empty, right(node(empty, x1)))), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(z0), right(node(z0, z1)))), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c8(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x2, inc(x2))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(empty, node(right(left(empty)), right(empty))), x0, inc(x0))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(empty), node(right(left(empty)), right(empty))), x0, inc(x0))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x0, inc(x0))) COUNT(node(node(z0, z1), x1), x2) -> c8(IF(isEmpty(node(node(z0, z1), x1)), isEmpty(left(node(node(z0, z1), x1))), right(node(node(z0, z1), x1)), node(z0, node(right(left(node(node(z0, z1), x1))), right(node(node(z0, z1), x1)))), x2, inc(x2))) COUNT(node(empty, x1), x2) -> c8(IF(isEmpty(node(empty, x1)), isEmpty(left(node(empty, x1))), right(node(empty, x1)), node(empty, node(right(left(node(empty, x1))), right(node(empty, x1)))), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c8(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), isEmpty(empty), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x0, inc(x0))) COUNT(node(z0, z1), x2) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(z0), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c8(IF(false, isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), true, right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x0, inc(x0))) COUNT(empty, x0) -> c8(IF(true, isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x0, inc(x0))) K tuples: COUNT(empty, x1) -> c14(INC(x1)) COUNT(x0, s(x1)) -> c14(INC(s(x1))) COUNT(empty, s(x1)) -> c14(INC(s(x1))) Defined Rule Symbols: isEmpty_1, left_1, right_1, inc_1 Defined Pair Symbols: INC_1, IF_6, COUNT_2 Compound Symbols: c7_1, c16_1, c17_1, c14_1, c8_1, c9_1, c10_1, c11_1, c12_1, c13_1, c14_2 ---------------------------------------- (191) CdtLeafRemovalProof (BOTH BOUNDS(ID, ID)) Removed 1 trailing nodes: COUNT(empty, x0) -> c8(IF(true, isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x0, inc(x0))) ---------------------------------------- (192) Obligation: Complexity Dependency Tuples Problem Rules: isEmpty(empty) -> true isEmpty(node(z0, z1)) -> false left(empty) -> empty left(node(z0, z1)) -> z0 right(empty) -> empty right(node(z0, z1)) -> z1 inc(0) -> s(0) inc(s(z0)) -> s(inc(z0)) Tuples: INC(s(z0)) -> c7(INC(z0)) IF(false, false, z0, z1, z2, z3) -> c16(COUNT(z1, z2)) IF(false, true, z0, z1, z2, z3) -> c17(COUNT(z0, z3)) COUNT(empty, x1) -> c14(INC(x1)) COUNT(node(z0, z1), x1) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c8(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, 0) -> c9(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(x0, s(z0)) -> c9(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0)))) COUNT(empty, x1) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1))) COUNT(empty, x1) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c9(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c9(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, 0) -> c10(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(x0, s(z0)) -> c10(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0)))) COUNT(empty, x1) -> c10(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1))) COUNT(empty, x1) -> c10(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c10(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c10(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c10(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, 0) -> c11(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(x0, s(z0)) -> c11(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0)))) COUNT(empty, x1) -> c11(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1))) COUNT(empty, x1) -> c11(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c11(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c11(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c11(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, 0) -> c12(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(x0, s(z0)) -> c12(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0)))) COUNT(empty, x1) -> c12(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1))) COUNT(empty, x1) -> c12(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c12(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c12(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c12(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, 0) -> c13(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(x0, s(z0)) -> c13(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0)))) COUNT(empty, x1) -> c13(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1))) COUNT(empty, x1) -> c13(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c13(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c13(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c13(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, s(0)) -> c14(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(0), s(s(0))), INC(s(0))) COUNT(x0, s(s(z0))) -> c14(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(s(z0)), s(s(inc(z0)))), INC(s(s(z0)))) COUNT(empty, s(x1)) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), s(x1), s(inc(x1))), INC(s(x1))) COUNT(empty, s(x1)) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(empty, s(x1)) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(empty, s(x1)) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(empty, s(x1)) -> c14(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(x0, s(x1)) -> c14(INC(s(x1))) COUNT(empty, s(x1)) -> c14(INC(s(x1))) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), empty)), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), empty)), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), empty)), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x0, inc(x0)), INC(x0)) COUNT(empty, 0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), 0, s(0))) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), z1)), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), z1)), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x2, inc(x2)), INC(x2)) COUNT(node(x0, x1), 0) -> c14(IF(isEmpty(node(x0, x1)), isEmpty(left(node(x0, x1))), right(node(x0, x1)), node(left(left(node(x0, x1))), node(right(left(node(x0, x1))), x1)), 0, s(0))) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(empty, right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(empty), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(empty), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, 0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), 0, s(0))) COUNT(node(node(z0, z1), x1), x2) -> c14(IF(isEmpty(node(node(z0, z1), x1)), isEmpty(left(node(node(z0, z1), x1))), right(node(node(z0, z1), x1)), node(left(left(node(node(z0, z1), x1))), node(z1, right(node(node(z0, z1), x1)))), x2, inc(x2)), INC(x2)) COUNT(node(empty, x1), x2) -> c14(IF(isEmpty(node(empty, x1)), isEmpty(left(node(empty, x1))), right(node(empty, x1)), node(left(left(node(empty, x1))), node(empty, right(node(empty, x1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(z0), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(x0, x1), 0) -> c14(IF(isEmpty(node(x0, x1)), isEmpty(left(node(x0, x1))), right(node(x0, x1)), node(left(left(node(x0, x1))), node(right(x0), right(node(x0, x1)))), 0, s(0))) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(empty, node(right(left(empty)), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(empty), node(right(left(empty)), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, 0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), 0, s(0))) COUNT(node(node(z0, z1), x1), x2) -> c14(IF(isEmpty(node(node(z0, z1), x1)), isEmpty(left(node(node(z0, z1), x1))), right(node(node(z0, z1), x1)), node(z0, node(right(left(node(node(z0, z1), x1))), right(node(node(z0, z1), x1)))), x2, inc(x2)), INC(x2)) COUNT(node(empty, x1), x2) -> c14(IF(isEmpty(node(empty, x1)), isEmpty(left(node(empty, x1))), right(node(empty, x1)), node(empty, node(right(left(node(empty, x1))), right(node(empty, x1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(x0, x1), 0) -> c14(IF(isEmpty(node(x0, x1)), isEmpty(left(node(x0, x1))), right(node(x0, x1)), node(left(x0), node(right(left(node(x0, x1))), right(node(x0, x1)))), 0, s(0))) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(empty), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, 0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), 0, s(0))) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(z0), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(false, isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(x0, x1), 0) -> c14(IF(isEmpty(node(x0, x1)), isEmpty(left(node(x0, x1))), x1, node(left(left(node(x0, x1))), node(right(left(node(x0, x1))), right(node(x0, x1)))), 0, s(0))) COUNT(empty, x0) -> c14(IF(isEmpty(empty), true, right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, 0) -> c14(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), 0, s(0))) COUNT(node(node(z0, z1), x1), x2) -> c14(IF(isEmpty(node(node(z0, z1), x1)), false, right(node(node(z0, z1), x1)), node(left(left(node(node(z0, z1), x1))), node(right(left(node(node(z0, z1), x1))), right(node(node(z0, z1), x1)))), x2, inc(x2)), INC(x2)) COUNT(node(empty, x1), x2) -> c14(IF(isEmpty(node(empty, x1)), true, right(node(empty, x1)), node(left(left(node(empty, x1))), node(right(left(node(empty, x1))), right(node(empty, x1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(false, isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(x0, x1), 0) -> c14(IF(isEmpty(node(x0, x1)), isEmpty(x0), right(node(x0, x1)), node(left(left(node(x0, x1))), node(right(left(node(x0, x1))), right(node(x0, x1)))), 0, s(0))) COUNT(node(x0, x1), 0) -> c14(IF(false, isEmpty(left(node(x0, x1))), right(node(x0, x1)), node(left(left(node(x0, x1))), node(right(left(node(x0, x1))), right(node(x0, x1)))), 0, s(0))) COUNT(empty, 0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), 0, s(0))) COUNT(node(z0, z1), 0) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), 0, s(0))) COUNT(empty, 0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), 0, s(0))) COUNT(node(z0, z1), 0) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), 0, s(0))) COUNT(empty, 0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), 0, s(0))) COUNT(node(z0, z1), 0) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), 0, s(0))) COUNT(empty, 0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), 0, s(0))) COUNT(node(z0, z1), 0) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), 0, s(0))) COUNT(empty, 0) -> c8(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), 0, s(0))) COUNT(node(z0, z1), 0) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), 0, s(0))) COUNT(node(z0, z1), 0) -> c8(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), 0, s(0))) COUNT(x0, s(0)) -> c8(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(0), s(s(0)))) COUNT(x0, s(s(z0))) -> c8(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(s(z0)), s(s(inc(z0))))) COUNT(empty, s(x1)) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), s(x1), s(inc(x1)))) COUNT(node(z0, z1), s(x1)) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), s(x1), s(inc(x1)))) COUNT(empty, s(x1)) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), s(x1), s(inc(x1)))) COUNT(node(z0, z1), s(x1)) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), s(x1), s(inc(x1)))) COUNT(empty, s(x1)) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), s(x1), s(inc(x1)))) COUNT(node(z0, z1), s(x1)) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1)))) COUNT(empty, s(x1)) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), s(x1), s(inc(x1)))) COUNT(node(z0, z1), s(x1)) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1)))) COUNT(empty, s(x1)) -> c8(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), s(x1), s(inc(x1)))) COUNT(node(z0, z1), s(x1)) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1)))) COUNT(node(z0, z1), s(x1)) -> c8(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1)))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), empty)), x0, inc(x0))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), empty)), x0, inc(x0))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), empty)), x0, inc(x0))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x0, inc(x0))) COUNT(node(z0, z1), x2) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), z1)), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), z1)), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c8(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x2, inc(x2))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(empty, right(empty))), x0, inc(x0))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(empty), right(empty))), x0, inc(x0))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(empty), right(empty))), x0, inc(x0))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x0, inc(x0))) COUNT(node(node(z0, z1), x1), x2) -> c8(IF(isEmpty(node(node(z0, z1), x1)), isEmpty(left(node(node(z0, z1), x1))), right(node(node(z0, z1), x1)), node(left(left(node(node(z0, z1), x1))), node(z1, right(node(node(z0, z1), x1)))), x2, inc(x2))) COUNT(node(empty, x1), x2) -> c8(IF(isEmpty(node(empty, x1)), isEmpty(left(node(empty, x1))), right(node(empty, x1)), node(left(left(node(empty, x1))), node(empty, right(node(empty, x1)))), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(z0), right(node(z0, z1)))), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c8(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x2, inc(x2))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(empty, node(right(left(empty)), right(empty))), x0, inc(x0))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(empty), node(right(left(empty)), right(empty))), x0, inc(x0))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x0, inc(x0))) COUNT(node(node(z0, z1), x1), x2) -> c8(IF(isEmpty(node(node(z0, z1), x1)), isEmpty(left(node(node(z0, z1), x1))), right(node(node(z0, z1), x1)), node(z0, node(right(left(node(node(z0, z1), x1))), right(node(node(z0, z1), x1)))), x2, inc(x2))) COUNT(node(empty, x1), x2) -> c8(IF(isEmpty(node(empty, x1)), isEmpty(left(node(empty, x1))), right(node(empty, x1)), node(empty, node(right(left(node(empty, x1))), right(node(empty, x1)))), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c8(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), isEmpty(empty), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x0, inc(x0))) COUNT(node(z0, z1), x2) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(z0), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c8(IF(false, isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), true, right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x0, inc(x0))) S tuples: INC(s(z0)) -> c7(INC(z0)) IF(false, false, z0, z1, z2, z3) -> c16(COUNT(z1, z2)) IF(false, true, z0, z1, z2, z3) -> c17(COUNT(z0, z3)) COUNT(node(z0, z1), x1) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c8(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, 0) -> c9(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(x0, s(z0)) -> c9(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0)))) COUNT(empty, x1) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1))) COUNT(empty, x1) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c9(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c9(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, 0) -> c10(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(x0, s(z0)) -> c10(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0)))) COUNT(empty, x1) -> c10(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1))) COUNT(empty, x1) -> c10(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c10(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c10(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c10(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, 0) -> c11(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(x0, s(z0)) -> c11(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0)))) COUNT(empty, x1) -> c11(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1))) COUNT(empty, x1) -> c11(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c11(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c11(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c11(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, 0) -> c12(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(x0, s(z0)) -> c12(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0)))) COUNT(empty, x1) -> c12(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1))) COUNT(empty, x1) -> c12(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c12(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c12(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c12(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, 0) -> c13(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(x0, s(z0)) -> c13(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0)))) COUNT(empty, x1) -> c13(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1))) COUNT(empty, x1) -> c13(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c13(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c13(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c13(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, s(0)) -> c14(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(0), s(s(0))), INC(s(0))) COUNT(x0, s(s(z0))) -> c14(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(s(z0)), s(s(inc(z0)))), INC(s(s(z0)))) COUNT(empty, s(x1)) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), s(x1), s(inc(x1))), INC(s(x1))) COUNT(empty, s(x1)) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(empty, s(x1)) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(empty, s(x1)) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(empty, s(x1)) -> c14(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), empty)), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), empty)), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), empty)), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x0, inc(x0)), INC(x0)) COUNT(empty, 0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), 0, s(0))) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), z1)), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), z1)), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x2, inc(x2)), INC(x2)) COUNT(node(x0, x1), 0) -> c14(IF(isEmpty(node(x0, x1)), isEmpty(left(node(x0, x1))), right(node(x0, x1)), node(left(left(node(x0, x1))), node(right(left(node(x0, x1))), x1)), 0, s(0))) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(empty, right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(empty), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(empty), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, 0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), 0, s(0))) COUNT(node(node(z0, z1), x1), x2) -> c14(IF(isEmpty(node(node(z0, z1), x1)), isEmpty(left(node(node(z0, z1), x1))), right(node(node(z0, z1), x1)), node(left(left(node(node(z0, z1), x1))), node(z1, right(node(node(z0, z1), x1)))), x2, inc(x2)), INC(x2)) COUNT(node(empty, x1), x2) -> c14(IF(isEmpty(node(empty, x1)), isEmpty(left(node(empty, x1))), right(node(empty, x1)), node(left(left(node(empty, x1))), node(empty, right(node(empty, x1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(z0), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(x0, x1), 0) -> c14(IF(isEmpty(node(x0, x1)), isEmpty(left(node(x0, x1))), right(node(x0, x1)), node(left(left(node(x0, x1))), node(right(x0), right(node(x0, x1)))), 0, s(0))) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(empty, node(right(left(empty)), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(empty), node(right(left(empty)), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, 0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), 0, s(0))) COUNT(node(node(z0, z1), x1), x2) -> c14(IF(isEmpty(node(node(z0, z1), x1)), isEmpty(left(node(node(z0, z1), x1))), right(node(node(z0, z1), x1)), node(z0, node(right(left(node(node(z0, z1), x1))), right(node(node(z0, z1), x1)))), x2, inc(x2)), INC(x2)) COUNT(node(empty, x1), x2) -> c14(IF(isEmpty(node(empty, x1)), isEmpty(left(node(empty, x1))), right(node(empty, x1)), node(empty, node(right(left(node(empty, x1))), right(node(empty, x1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(x0, x1), 0) -> c14(IF(isEmpty(node(x0, x1)), isEmpty(left(node(x0, x1))), right(node(x0, x1)), node(left(x0), node(right(left(node(x0, x1))), right(node(x0, x1)))), 0, s(0))) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(empty), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, 0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), 0, s(0))) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(z0), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(false, isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(x0, x1), 0) -> c14(IF(isEmpty(node(x0, x1)), isEmpty(left(node(x0, x1))), x1, node(left(left(node(x0, x1))), node(right(left(node(x0, x1))), right(node(x0, x1)))), 0, s(0))) COUNT(empty, x0) -> c14(IF(isEmpty(empty), true, right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, 0) -> c14(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), 0, s(0))) COUNT(node(node(z0, z1), x1), x2) -> c14(IF(isEmpty(node(node(z0, z1), x1)), false, right(node(node(z0, z1), x1)), node(left(left(node(node(z0, z1), x1))), node(right(left(node(node(z0, z1), x1))), right(node(node(z0, z1), x1)))), x2, inc(x2)), INC(x2)) COUNT(node(empty, x1), x2) -> c14(IF(isEmpty(node(empty, x1)), true, right(node(empty, x1)), node(left(left(node(empty, x1))), node(right(left(node(empty, x1))), right(node(empty, x1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(false, isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(x0, x1), 0) -> c14(IF(isEmpty(node(x0, x1)), isEmpty(x0), right(node(x0, x1)), node(left(left(node(x0, x1))), node(right(left(node(x0, x1))), right(node(x0, x1)))), 0, s(0))) COUNT(node(x0, x1), 0) -> c14(IF(false, isEmpty(left(node(x0, x1))), right(node(x0, x1)), node(left(left(node(x0, x1))), node(right(left(node(x0, x1))), right(node(x0, x1)))), 0, s(0))) COUNT(empty, 0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), 0, s(0))) COUNT(node(z0, z1), 0) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), 0, s(0))) COUNT(empty, 0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), 0, s(0))) COUNT(node(z0, z1), 0) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), 0, s(0))) COUNT(empty, 0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), 0, s(0))) COUNT(node(z0, z1), 0) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), 0, s(0))) COUNT(empty, 0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), 0, s(0))) COUNT(node(z0, z1), 0) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), 0, s(0))) COUNT(empty, 0) -> c8(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), 0, s(0))) COUNT(node(z0, z1), 0) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), 0, s(0))) COUNT(node(z0, z1), 0) -> c8(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), 0, s(0))) COUNT(x0, s(0)) -> c8(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(0), s(s(0)))) COUNT(x0, s(s(z0))) -> c8(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(s(z0)), s(s(inc(z0))))) COUNT(empty, s(x1)) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), s(x1), s(inc(x1)))) COUNT(node(z0, z1), s(x1)) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), s(x1), s(inc(x1)))) COUNT(empty, s(x1)) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), s(x1), s(inc(x1)))) COUNT(node(z0, z1), s(x1)) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), s(x1), s(inc(x1)))) COUNT(empty, s(x1)) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), s(x1), s(inc(x1)))) COUNT(node(z0, z1), s(x1)) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1)))) COUNT(empty, s(x1)) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), s(x1), s(inc(x1)))) COUNT(node(z0, z1), s(x1)) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1)))) COUNT(empty, s(x1)) -> c8(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), s(x1), s(inc(x1)))) COUNT(node(z0, z1), s(x1)) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1)))) COUNT(node(z0, z1), s(x1)) -> c8(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1)))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), empty)), x0, inc(x0))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), empty)), x0, inc(x0))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), empty)), x0, inc(x0))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x0, inc(x0))) COUNT(node(z0, z1), x2) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), z1)), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), z1)), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c8(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x2, inc(x2))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(empty, right(empty))), x0, inc(x0))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(empty), right(empty))), x0, inc(x0))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(empty), right(empty))), x0, inc(x0))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x0, inc(x0))) COUNT(node(node(z0, z1), x1), x2) -> c8(IF(isEmpty(node(node(z0, z1), x1)), isEmpty(left(node(node(z0, z1), x1))), right(node(node(z0, z1), x1)), node(left(left(node(node(z0, z1), x1))), node(z1, right(node(node(z0, z1), x1)))), x2, inc(x2))) COUNT(node(empty, x1), x2) -> c8(IF(isEmpty(node(empty, x1)), isEmpty(left(node(empty, x1))), right(node(empty, x1)), node(left(left(node(empty, x1))), node(empty, right(node(empty, x1)))), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(z0), right(node(z0, z1)))), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c8(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x2, inc(x2))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(empty, node(right(left(empty)), right(empty))), x0, inc(x0))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(empty), node(right(left(empty)), right(empty))), x0, inc(x0))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x0, inc(x0))) COUNT(node(node(z0, z1), x1), x2) -> c8(IF(isEmpty(node(node(z0, z1), x1)), isEmpty(left(node(node(z0, z1), x1))), right(node(node(z0, z1), x1)), node(z0, node(right(left(node(node(z0, z1), x1))), right(node(node(z0, z1), x1)))), x2, inc(x2))) COUNT(node(empty, x1), x2) -> c8(IF(isEmpty(node(empty, x1)), isEmpty(left(node(empty, x1))), right(node(empty, x1)), node(empty, node(right(left(node(empty, x1))), right(node(empty, x1)))), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c8(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), isEmpty(empty), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x0, inc(x0))) COUNT(node(z0, z1), x2) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(z0), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c8(IF(false, isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), true, right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x0, inc(x0))) K tuples: COUNT(empty, x1) -> c14(INC(x1)) COUNT(x0, s(x1)) -> c14(INC(s(x1))) COUNT(empty, s(x1)) -> c14(INC(s(x1))) Defined Rule Symbols: isEmpty_1, left_1, right_1, inc_1 Defined Pair Symbols: INC_1, IF_6, COUNT_2 Compound Symbols: c7_1, c16_1, c17_1, c14_1, c8_1, c9_1, c10_1, c11_1, c12_1, c13_1, c14_2 ---------------------------------------- (193) CdtNarrowingProof (BOTH BOUNDS(ID, ID)) Use narrowing to replace COUNT(node(z0, z1), x1) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) by COUNT(node(x0, x1), 0) -> c8(IF(isEmpty(node(x0, x1)), isEmpty(x0), right(node(x0, x1)), node(left(left(node(x0, x1))), node(right(left(node(x0, x1))), right(node(x0, x1)))), 0, s(0))) COUNT(node(x0, x1), s(z0)) -> c8(IF(isEmpty(node(x0, x1)), isEmpty(x0), right(node(x0, x1)), node(left(left(node(x0, x1))), node(right(left(node(x0, x1))), right(node(x0, x1)))), s(z0), s(inc(z0)))) COUNT(node(z0, z1), x2) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(z0), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2))) COUNT(node(node(z0, z1), x1), x2) -> c8(IF(isEmpty(node(node(z0, z1), x1)), false, right(node(node(z0, z1), x1)), node(left(left(node(node(z0, z1), x1))), node(right(left(node(node(z0, z1), x1))), right(node(node(z0, z1), x1)))), x2, inc(x2))) COUNT(node(empty, x1), x2) -> c8(IF(isEmpty(node(empty, x1)), true, right(node(empty, x1)), node(left(left(node(empty, x1))), node(right(left(node(empty, x1))), right(node(empty, x1)))), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c8(IF(false, isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2))) ---------------------------------------- (194) Obligation: Complexity Dependency Tuples Problem Rules: isEmpty(empty) -> true isEmpty(node(z0, z1)) -> false left(empty) -> empty left(node(z0, z1)) -> z0 right(empty) -> empty right(node(z0, z1)) -> z1 inc(0) -> s(0) inc(s(z0)) -> s(inc(z0)) Tuples: INC(s(z0)) -> c7(INC(z0)) IF(false, false, z0, z1, z2, z3) -> c16(COUNT(z1, z2)) IF(false, true, z0, z1, z2, z3) -> c17(COUNT(z0, z3)) COUNT(empty, x1) -> c14(INC(x1)) COUNT(node(z0, z1), x1) -> c8(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, 0) -> c9(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(x0, s(z0)) -> c9(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0)))) COUNT(empty, x1) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1))) COUNT(empty, x1) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c9(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c9(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, 0) -> c10(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(x0, s(z0)) -> c10(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0)))) COUNT(empty, x1) -> c10(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1))) COUNT(empty, x1) -> c10(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c10(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c10(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c10(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, 0) -> c11(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(x0, s(z0)) -> c11(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0)))) COUNT(empty, x1) -> c11(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1))) COUNT(empty, x1) -> c11(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c11(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c11(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c11(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, 0) -> c12(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(x0, s(z0)) -> c12(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0)))) COUNT(empty, x1) -> c12(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1))) COUNT(empty, x1) -> c12(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c12(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c12(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c12(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, 0) -> c13(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(x0, s(z0)) -> c13(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0)))) COUNT(empty, x1) -> c13(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1))) COUNT(empty, x1) -> c13(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c13(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c13(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c13(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, s(0)) -> c14(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(0), s(s(0))), INC(s(0))) COUNT(x0, s(s(z0))) -> c14(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(s(z0)), s(s(inc(z0)))), INC(s(s(z0)))) COUNT(empty, s(x1)) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), s(x1), s(inc(x1))), INC(s(x1))) COUNT(empty, s(x1)) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(empty, s(x1)) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(empty, s(x1)) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(empty, s(x1)) -> c14(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(x0, s(x1)) -> c14(INC(s(x1))) COUNT(empty, s(x1)) -> c14(INC(s(x1))) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), empty)), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), empty)), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), empty)), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x0, inc(x0)), INC(x0)) COUNT(empty, 0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), 0, s(0))) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), z1)), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), z1)), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x2, inc(x2)), INC(x2)) COUNT(node(x0, x1), 0) -> c14(IF(isEmpty(node(x0, x1)), isEmpty(left(node(x0, x1))), right(node(x0, x1)), node(left(left(node(x0, x1))), node(right(left(node(x0, x1))), x1)), 0, s(0))) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(empty, right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(empty), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(empty), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, 0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), 0, s(0))) COUNT(node(node(z0, z1), x1), x2) -> c14(IF(isEmpty(node(node(z0, z1), x1)), isEmpty(left(node(node(z0, z1), x1))), right(node(node(z0, z1), x1)), node(left(left(node(node(z0, z1), x1))), node(z1, right(node(node(z0, z1), x1)))), x2, inc(x2)), INC(x2)) COUNT(node(empty, x1), x2) -> c14(IF(isEmpty(node(empty, x1)), isEmpty(left(node(empty, x1))), right(node(empty, x1)), node(left(left(node(empty, x1))), node(empty, right(node(empty, x1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(z0), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(x0, x1), 0) -> c14(IF(isEmpty(node(x0, x1)), isEmpty(left(node(x0, x1))), right(node(x0, x1)), node(left(left(node(x0, x1))), node(right(x0), right(node(x0, x1)))), 0, s(0))) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(empty, node(right(left(empty)), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(empty), node(right(left(empty)), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, 0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), 0, s(0))) COUNT(node(node(z0, z1), x1), x2) -> c14(IF(isEmpty(node(node(z0, z1), x1)), isEmpty(left(node(node(z0, z1), x1))), right(node(node(z0, z1), x1)), node(z0, node(right(left(node(node(z0, z1), x1))), right(node(node(z0, z1), x1)))), x2, inc(x2)), INC(x2)) COUNT(node(empty, x1), x2) -> c14(IF(isEmpty(node(empty, x1)), isEmpty(left(node(empty, x1))), right(node(empty, x1)), node(empty, node(right(left(node(empty, x1))), right(node(empty, x1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(x0, x1), 0) -> c14(IF(isEmpty(node(x0, x1)), isEmpty(left(node(x0, x1))), right(node(x0, x1)), node(left(x0), node(right(left(node(x0, x1))), right(node(x0, x1)))), 0, s(0))) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(empty), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, 0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), 0, s(0))) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(z0), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(false, isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(x0, x1), 0) -> c14(IF(isEmpty(node(x0, x1)), isEmpty(left(node(x0, x1))), x1, node(left(left(node(x0, x1))), node(right(left(node(x0, x1))), right(node(x0, x1)))), 0, s(0))) COUNT(empty, x0) -> c14(IF(isEmpty(empty), true, right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, 0) -> c14(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), 0, s(0))) COUNT(node(node(z0, z1), x1), x2) -> c14(IF(isEmpty(node(node(z0, z1), x1)), false, right(node(node(z0, z1), x1)), node(left(left(node(node(z0, z1), x1))), node(right(left(node(node(z0, z1), x1))), right(node(node(z0, z1), x1)))), x2, inc(x2)), INC(x2)) COUNT(node(empty, x1), x2) -> c14(IF(isEmpty(node(empty, x1)), true, right(node(empty, x1)), node(left(left(node(empty, x1))), node(right(left(node(empty, x1))), right(node(empty, x1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(false, isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(x0, x1), 0) -> c14(IF(isEmpty(node(x0, x1)), isEmpty(x0), right(node(x0, x1)), node(left(left(node(x0, x1))), node(right(left(node(x0, x1))), right(node(x0, x1)))), 0, s(0))) COUNT(node(x0, x1), 0) -> c14(IF(false, isEmpty(left(node(x0, x1))), right(node(x0, x1)), node(left(left(node(x0, x1))), node(right(left(node(x0, x1))), right(node(x0, x1)))), 0, s(0))) COUNT(empty, 0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), 0, s(0))) COUNT(node(z0, z1), 0) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), 0, s(0))) COUNT(empty, 0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), 0, s(0))) COUNT(node(z0, z1), 0) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), 0, s(0))) COUNT(empty, 0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), 0, s(0))) COUNT(node(z0, z1), 0) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), 0, s(0))) COUNT(empty, 0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), 0, s(0))) COUNT(node(z0, z1), 0) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), 0, s(0))) COUNT(empty, 0) -> c8(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), 0, s(0))) COUNT(node(z0, z1), 0) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), 0, s(0))) COUNT(node(z0, z1), 0) -> c8(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), 0, s(0))) COUNT(x0, s(0)) -> c8(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(0), s(s(0)))) COUNT(x0, s(s(z0))) -> c8(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(s(z0)), s(s(inc(z0))))) COUNT(empty, s(x1)) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), s(x1), s(inc(x1)))) COUNT(node(z0, z1), s(x1)) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), s(x1), s(inc(x1)))) COUNT(empty, s(x1)) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), s(x1), s(inc(x1)))) COUNT(node(z0, z1), s(x1)) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), s(x1), s(inc(x1)))) COUNT(empty, s(x1)) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), s(x1), s(inc(x1)))) COUNT(node(z0, z1), s(x1)) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1)))) COUNT(empty, s(x1)) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), s(x1), s(inc(x1)))) COUNT(node(z0, z1), s(x1)) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1)))) COUNT(empty, s(x1)) -> c8(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), s(x1), s(inc(x1)))) COUNT(node(z0, z1), s(x1)) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1)))) COUNT(node(z0, z1), s(x1)) -> c8(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1)))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), empty)), x0, inc(x0))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), empty)), x0, inc(x0))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), empty)), x0, inc(x0))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x0, inc(x0))) COUNT(node(z0, z1), x2) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), z1)), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), z1)), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c8(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x2, inc(x2))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(empty, right(empty))), x0, inc(x0))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(empty), right(empty))), x0, inc(x0))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(empty), right(empty))), x0, inc(x0))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x0, inc(x0))) COUNT(node(node(z0, z1), x1), x2) -> c8(IF(isEmpty(node(node(z0, z1), x1)), isEmpty(left(node(node(z0, z1), x1))), right(node(node(z0, z1), x1)), node(left(left(node(node(z0, z1), x1))), node(z1, right(node(node(z0, z1), x1)))), x2, inc(x2))) COUNT(node(empty, x1), x2) -> c8(IF(isEmpty(node(empty, x1)), isEmpty(left(node(empty, x1))), right(node(empty, x1)), node(left(left(node(empty, x1))), node(empty, right(node(empty, x1)))), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(z0), right(node(z0, z1)))), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c8(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x2, inc(x2))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(empty, node(right(left(empty)), right(empty))), x0, inc(x0))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(empty), node(right(left(empty)), right(empty))), x0, inc(x0))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x0, inc(x0))) COUNT(node(node(z0, z1), x1), x2) -> c8(IF(isEmpty(node(node(z0, z1), x1)), isEmpty(left(node(node(z0, z1), x1))), right(node(node(z0, z1), x1)), node(z0, node(right(left(node(node(z0, z1), x1))), right(node(node(z0, z1), x1)))), x2, inc(x2))) COUNT(node(empty, x1), x2) -> c8(IF(isEmpty(node(empty, x1)), isEmpty(left(node(empty, x1))), right(node(empty, x1)), node(empty, node(right(left(node(empty, x1))), right(node(empty, x1)))), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c8(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), isEmpty(empty), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x0, inc(x0))) COUNT(node(z0, z1), x2) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(z0), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c8(IF(false, isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), true, right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x0, inc(x0))) COUNT(node(node(z0, z1), x1), x2) -> c8(IF(isEmpty(node(node(z0, z1), x1)), false, right(node(node(z0, z1), x1)), node(left(left(node(node(z0, z1), x1))), node(right(left(node(node(z0, z1), x1))), right(node(node(z0, z1), x1)))), x2, inc(x2))) COUNT(node(empty, x1), x2) -> c8(IF(isEmpty(node(empty, x1)), true, right(node(empty, x1)), node(left(left(node(empty, x1))), node(right(left(node(empty, x1))), right(node(empty, x1)))), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c8(IF(false, isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2))) S tuples: INC(s(z0)) -> c7(INC(z0)) IF(false, false, z0, z1, z2, z3) -> c16(COUNT(z1, z2)) IF(false, true, z0, z1, z2, z3) -> c17(COUNT(z0, z3)) COUNT(node(z0, z1), x1) -> c8(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, 0) -> c9(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(x0, s(z0)) -> c9(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0)))) COUNT(empty, x1) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1))) COUNT(empty, x1) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c9(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c9(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, 0) -> c10(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(x0, s(z0)) -> c10(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0)))) COUNT(empty, x1) -> c10(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1))) COUNT(empty, x1) -> c10(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c10(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c10(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c10(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, 0) -> c11(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(x0, s(z0)) -> c11(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0)))) COUNT(empty, x1) -> c11(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1))) COUNT(empty, x1) -> c11(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c11(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c11(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c11(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, 0) -> c12(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(x0, s(z0)) -> c12(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0)))) COUNT(empty, x1) -> c12(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1))) COUNT(empty, x1) -> c12(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c12(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c12(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c12(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, 0) -> c13(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(x0, s(z0)) -> c13(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0)))) COUNT(empty, x1) -> c13(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1))) COUNT(empty, x1) -> c13(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c13(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c13(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c13(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, s(0)) -> c14(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(0), s(s(0))), INC(s(0))) COUNT(x0, s(s(z0))) -> c14(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(s(z0)), s(s(inc(z0)))), INC(s(s(z0)))) COUNT(empty, s(x1)) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), s(x1), s(inc(x1))), INC(s(x1))) COUNT(empty, s(x1)) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(empty, s(x1)) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(empty, s(x1)) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(empty, s(x1)) -> c14(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), empty)), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), empty)), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), empty)), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x0, inc(x0)), INC(x0)) COUNT(empty, 0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), 0, s(0))) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), z1)), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), z1)), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x2, inc(x2)), INC(x2)) COUNT(node(x0, x1), 0) -> c14(IF(isEmpty(node(x0, x1)), isEmpty(left(node(x0, x1))), right(node(x0, x1)), node(left(left(node(x0, x1))), node(right(left(node(x0, x1))), x1)), 0, s(0))) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(empty, right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(empty), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(empty), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, 0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), 0, s(0))) COUNT(node(node(z0, z1), x1), x2) -> c14(IF(isEmpty(node(node(z0, z1), x1)), isEmpty(left(node(node(z0, z1), x1))), right(node(node(z0, z1), x1)), node(left(left(node(node(z0, z1), x1))), node(z1, right(node(node(z0, z1), x1)))), x2, inc(x2)), INC(x2)) COUNT(node(empty, x1), x2) -> c14(IF(isEmpty(node(empty, x1)), isEmpty(left(node(empty, x1))), right(node(empty, x1)), node(left(left(node(empty, x1))), node(empty, right(node(empty, x1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(z0), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(x0, x1), 0) -> c14(IF(isEmpty(node(x0, x1)), isEmpty(left(node(x0, x1))), right(node(x0, x1)), node(left(left(node(x0, x1))), node(right(x0), right(node(x0, x1)))), 0, s(0))) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(empty, node(right(left(empty)), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(empty), node(right(left(empty)), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, 0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), 0, s(0))) COUNT(node(node(z0, z1), x1), x2) -> c14(IF(isEmpty(node(node(z0, z1), x1)), isEmpty(left(node(node(z0, z1), x1))), right(node(node(z0, z1), x1)), node(z0, node(right(left(node(node(z0, z1), x1))), right(node(node(z0, z1), x1)))), x2, inc(x2)), INC(x2)) COUNT(node(empty, x1), x2) -> c14(IF(isEmpty(node(empty, x1)), isEmpty(left(node(empty, x1))), right(node(empty, x1)), node(empty, node(right(left(node(empty, x1))), right(node(empty, x1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(x0, x1), 0) -> c14(IF(isEmpty(node(x0, x1)), isEmpty(left(node(x0, x1))), right(node(x0, x1)), node(left(x0), node(right(left(node(x0, x1))), right(node(x0, x1)))), 0, s(0))) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(empty), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, 0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), 0, s(0))) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(z0), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(false, isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(x0, x1), 0) -> c14(IF(isEmpty(node(x0, x1)), isEmpty(left(node(x0, x1))), x1, node(left(left(node(x0, x1))), node(right(left(node(x0, x1))), right(node(x0, x1)))), 0, s(0))) COUNT(empty, x0) -> c14(IF(isEmpty(empty), true, right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, 0) -> c14(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), 0, s(0))) COUNT(node(node(z0, z1), x1), x2) -> c14(IF(isEmpty(node(node(z0, z1), x1)), false, right(node(node(z0, z1), x1)), node(left(left(node(node(z0, z1), x1))), node(right(left(node(node(z0, z1), x1))), right(node(node(z0, z1), x1)))), x2, inc(x2)), INC(x2)) COUNT(node(empty, x1), x2) -> c14(IF(isEmpty(node(empty, x1)), true, right(node(empty, x1)), node(left(left(node(empty, x1))), node(right(left(node(empty, x1))), right(node(empty, x1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(false, isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(x0, x1), 0) -> c14(IF(isEmpty(node(x0, x1)), isEmpty(x0), right(node(x0, x1)), node(left(left(node(x0, x1))), node(right(left(node(x0, x1))), right(node(x0, x1)))), 0, s(0))) COUNT(node(x0, x1), 0) -> c14(IF(false, isEmpty(left(node(x0, x1))), right(node(x0, x1)), node(left(left(node(x0, x1))), node(right(left(node(x0, x1))), right(node(x0, x1)))), 0, s(0))) COUNT(empty, 0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), 0, s(0))) COUNT(node(z0, z1), 0) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), 0, s(0))) COUNT(empty, 0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), 0, s(0))) COUNT(node(z0, z1), 0) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), 0, s(0))) COUNT(empty, 0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), 0, s(0))) COUNT(node(z0, z1), 0) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), 0, s(0))) COUNT(empty, 0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), 0, s(0))) COUNT(node(z0, z1), 0) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), 0, s(0))) COUNT(empty, 0) -> c8(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), 0, s(0))) COUNT(node(z0, z1), 0) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), 0, s(0))) COUNT(node(z0, z1), 0) -> c8(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), 0, s(0))) COUNT(x0, s(0)) -> c8(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(0), s(s(0)))) COUNT(x0, s(s(z0))) -> c8(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(s(z0)), s(s(inc(z0))))) COUNT(empty, s(x1)) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), s(x1), s(inc(x1)))) COUNT(node(z0, z1), s(x1)) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), s(x1), s(inc(x1)))) COUNT(empty, s(x1)) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), s(x1), s(inc(x1)))) COUNT(node(z0, z1), s(x1)) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), s(x1), s(inc(x1)))) COUNT(empty, s(x1)) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), s(x1), s(inc(x1)))) COUNT(node(z0, z1), s(x1)) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1)))) COUNT(empty, s(x1)) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), s(x1), s(inc(x1)))) COUNT(node(z0, z1), s(x1)) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1)))) COUNT(empty, s(x1)) -> c8(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), s(x1), s(inc(x1)))) COUNT(node(z0, z1), s(x1)) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1)))) COUNT(node(z0, z1), s(x1)) -> c8(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1)))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), empty)), x0, inc(x0))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), empty)), x0, inc(x0))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), empty)), x0, inc(x0))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x0, inc(x0))) COUNT(node(z0, z1), x2) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), z1)), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), z1)), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c8(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x2, inc(x2))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(empty, right(empty))), x0, inc(x0))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(empty), right(empty))), x0, inc(x0))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(empty), right(empty))), x0, inc(x0))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x0, inc(x0))) COUNT(node(node(z0, z1), x1), x2) -> c8(IF(isEmpty(node(node(z0, z1), x1)), isEmpty(left(node(node(z0, z1), x1))), right(node(node(z0, z1), x1)), node(left(left(node(node(z0, z1), x1))), node(z1, right(node(node(z0, z1), x1)))), x2, inc(x2))) COUNT(node(empty, x1), x2) -> c8(IF(isEmpty(node(empty, x1)), isEmpty(left(node(empty, x1))), right(node(empty, x1)), node(left(left(node(empty, x1))), node(empty, right(node(empty, x1)))), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(z0), right(node(z0, z1)))), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c8(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x2, inc(x2))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(empty, node(right(left(empty)), right(empty))), x0, inc(x0))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(empty), node(right(left(empty)), right(empty))), x0, inc(x0))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x0, inc(x0))) COUNT(node(node(z0, z1), x1), x2) -> c8(IF(isEmpty(node(node(z0, z1), x1)), isEmpty(left(node(node(z0, z1), x1))), right(node(node(z0, z1), x1)), node(z0, node(right(left(node(node(z0, z1), x1))), right(node(node(z0, z1), x1)))), x2, inc(x2))) COUNT(node(empty, x1), x2) -> c8(IF(isEmpty(node(empty, x1)), isEmpty(left(node(empty, x1))), right(node(empty, x1)), node(empty, node(right(left(node(empty, x1))), right(node(empty, x1)))), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c8(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), isEmpty(empty), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x0, inc(x0))) COUNT(node(z0, z1), x2) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(z0), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c8(IF(false, isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), true, right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x0, inc(x0))) COUNT(node(node(z0, z1), x1), x2) -> c8(IF(isEmpty(node(node(z0, z1), x1)), false, right(node(node(z0, z1), x1)), node(left(left(node(node(z0, z1), x1))), node(right(left(node(node(z0, z1), x1))), right(node(node(z0, z1), x1)))), x2, inc(x2))) COUNT(node(empty, x1), x2) -> c8(IF(isEmpty(node(empty, x1)), true, right(node(empty, x1)), node(left(left(node(empty, x1))), node(right(left(node(empty, x1))), right(node(empty, x1)))), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c8(IF(false, isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2))) K tuples: COUNT(empty, x1) -> c14(INC(x1)) COUNT(x0, s(x1)) -> c14(INC(s(x1))) COUNT(empty, s(x1)) -> c14(INC(s(x1))) Defined Rule Symbols: isEmpty_1, left_1, right_1, inc_1 Defined Pair Symbols: INC_1, IF_6, COUNT_2 Compound Symbols: c7_1, c16_1, c17_1, c14_1, c8_1, c9_1, c10_1, c11_1, c12_1, c13_1, c14_2 ---------------------------------------- (195) CdtNarrowingProof (BOTH BOUNDS(ID, ID)) Use narrowing to replace COUNT(node(z0, z1), x1) -> c8(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) by COUNT(node(x0, x1), 0) -> c8(IF(false, isEmpty(left(node(x0, x1))), right(node(x0, x1)), node(left(left(node(x0, x1))), node(right(left(node(x0, x1))), right(node(x0, x1)))), 0, s(0))) COUNT(node(x0, x1), s(z0)) -> c8(IF(false, isEmpty(left(node(x0, x1))), right(node(x0, x1)), node(left(left(node(x0, x1))), node(right(left(node(x0, x1))), right(node(x0, x1)))), s(z0), s(inc(z0)))) COUNT(node(z0, z1), x2) -> c8(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c8(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c8(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c8(IF(false, isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c8(IF(false, isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2))) ---------------------------------------- (196) Obligation: Complexity Dependency Tuples Problem Rules: isEmpty(empty) -> true isEmpty(node(z0, z1)) -> false left(empty) -> empty left(node(z0, z1)) -> z0 right(empty) -> empty right(node(z0, z1)) -> z1 inc(0) -> s(0) inc(s(z0)) -> s(inc(z0)) Tuples: INC(s(z0)) -> c7(INC(z0)) IF(false, false, z0, z1, z2, z3) -> c16(COUNT(z1, z2)) IF(false, true, z0, z1, z2, z3) -> c17(COUNT(z0, z3)) COUNT(empty, x1) -> c14(INC(x1)) COUNT(x0, 0) -> c9(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(x0, s(z0)) -> c9(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0)))) COUNT(empty, x1) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1))) COUNT(empty, x1) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c9(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c9(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, 0) -> c10(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(x0, s(z0)) -> c10(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0)))) COUNT(empty, x1) -> c10(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1))) COUNT(empty, x1) -> c10(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c10(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c10(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c10(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, 0) -> c11(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(x0, s(z0)) -> c11(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0)))) COUNT(empty, x1) -> c11(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1))) COUNT(empty, x1) -> c11(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c11(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c11(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c11(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, 0) -> c12(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(x0, s(z0)) -> c12(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0)))) COUNT(empty, x1) -> c12(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1))) COUNT(empty, x1) -> c12(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c12(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c12(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c12(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, 0) -> c13(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(x0, s(z0)) -> c13(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0)))) COUNT(empty, x1) -> c13(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1))) COUNT(empty, x1) -> c13(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c13(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c13(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c13(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, s(0)) -> c14(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(0), s(s(0))), INC(s(0))) COUNT(x0, s(s(z0))) -> c14(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(s(z0)), s(s(inc(z0)))), INC(s(s(z0)))) COUNT(empty, s(x1)) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), s(x1), s(inc(x1))), INC(s(x1))) COUNT(empty, s(x1)) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(empty, s(x1)) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(empty, s(x1)) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(empty, s(x1)) -> c14(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(x0, s(x1)) -> c14(INC(s(x1))) COUNT(empty, s(x1)) -> c14(INC(s(x1))) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), empty)), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), empty)), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), empty)), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x0, inc(x0)), INC(x0)) COUNT(empty, 0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), 0, s(0))) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), z1)), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), z1)), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x2, inc(x2)), INC(x2)) COUNT(node(x0, x1), 0) -> c14(IF(isEmpty(node(x0, x1)), isEmpty(left(node(x0, x1))), right(node(x0, x1)), node(left(left(node(x0, x1))), node(right(left(node(x0, x1))), x1)), 0, s(0))) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(empty, right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(empty), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(empty), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, 0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), 0, s(0))) COUNT(node(node(z0, z1), x1), x2) -> c14(IF(isEmpty(node(node(z0, z1), x1)), isEmpty(left(node(node(z0, z1), x1))), right(node(node(z0, z1), x1)), node(left(left(node(node(z0, z1), x1))), node(z1, right(node(node(z0, z1), x1)))), x2, inc(x2)), INC(x2)) COUNT(node(empty, x1), x2) -> c14(IF(isEmpty(node(empty, x1)), isEmpty(left(node(empty, x1))), right(node(empty, x1)), node(left(left(node(empty, x1))), node(empty, right(node(empty, x1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(z0), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(x0, x1), 0) -> c14(IF(isEmpty(node(x0, x1)), isEmpty(left(node(x0, x1))), right(node(x0, x1)), node(left(left(node(x0, x1))), node(right(x0), right(node(x0, x1)))), 0, s(0))) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(empty, node(right(left(empty)), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(empty), node(right(left(empty)), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, 0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), 0, s(0))) COUNT(node(node(z0, z1), x1), x2) -> c14(IF(isEmpty(node(node(z0, z1), x1)), isEmpty(left(node(node(z0, z1), x1))), right(node(node(z0, z1), x1)), node(z0, node(right(left(node(node(z0, z1), x1))), right(node(node(z0, z1), x1)))), x2, inc(x2)), INC(x2)) COUNT(node(empty, x1), x2) -> c14(IF(isEmpty(node(empty, x1)), isEmpty(left(node(empty, x1))), right(node(empty, x1)), node(empty, node(right(left(node(empty, x1))), right(node(empty, x1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(x0, x1), 0) -> c14(IF(isEmpty(node(x0, x1)), isEmpty(left(node(x0, x1))), right(node(x0, x1)), node(left(x0), node(right(left(node(x0, x1))), right(node(x0, x1)))), 0, s(0))) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(empty), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, 0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), 0, s(0))) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(z0), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(false, isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(x0, x1), 0) -> c14(IF(isEmpty(node(x0, x1)), isEmpty(left(node(x0, x1))), x1, node(left(left(node(x0, x1))), node(right(left(node(x0, x1))), right(node(x0, x1)))), 0, s(0))) COUNT(empty, x0) -> c14(IF(isEmpty(empty), true, right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, 0) -> c14(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), 0, s(0))) COUNT(node(node(z0, z1), x1), x2) -> c14(IF(isEmpty(node(node(z0, z1), x1)), false, right(node(node(z0, z1), x1)), node(left(left(node(node(z0, z1), x1))), node(right(left(node(node(z0, z1), x1))), right(node(node(z0, z1), x1)))), x2, inc(x2)), INC(x2)) COUNT(node(empty, x1), x2) -> c14(IF(isEmpty(node(empty, x1)), true, right(node(empty, x1)), node(left(left(node(empty, x1))), node(right(left(node(empty, x1))), right(node(empty, x1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(false, isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(x0, x1), 0) -> c14(IF(isEmpty(node(x0, x1)), isEmpty(x0), right(node(x0, x1)), node(left(left(node(x0, x1))), node(right(left(node(x0, x1))), right(node(x0, x1)))), 0, s(0))) COUNT(node(x0, x1), 0) -> c14(IF(false, isEmpty(left(node(x0, x1))), right(node(x0, x1)), node(left(left(node(x0, x1))), node(right(left(node(x0, x1))), right(node(x0, x1)))), 0, s(0))) COUNT(empty, 0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), 0, s(0))) COUNT(node(z0, z1), 0) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), 0, s(0))) COUNT(empty, 0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), 0, s(0))) COUNT(node(z0, z1), 0) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), 0, s(0))) COUNT(empty, 0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), 0, s(0))) COUNT(node(z0, z1), 0) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), 0, s(0))) COUNT(empty, 0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), 0, s(0))) COUNT(node(z0, z1), 0) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), 0, s(0))) COUNT(empty, 0) -> c8(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), 0, s(0))) COUNT(node(z0, z1), 0) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), 0, s(0))) COUNT(node(z0, z1), 0) -> c8(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), 0, s(0))) COUNT(x0, s(0)) -> c8(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(0), s(s(0)))) COUNT(x0, s(s(z0))) -> c8(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(s(z0)), s(s(inc(z0))))) COUNT(empty, s(x1)) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), s(x1), s(inc(x1)))) COUNT(node(z0, z1), s(x1)) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), s(x1), s(inc(x1)))) COUNT(empty, s(x1)) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), s(x1), s(inc(x1)))) COUNT(node(z0, z1), s(x1)) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), s(x1), s(inc(x1)))) COUNT(empty, s(x1)) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), s(x1), s(inc(x1)))) COUNT(node(z0, z1), s(x1)) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1)))) COUNT(empty, s(x1)) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), s(x1), s(inc(x1)))) COUNT(node(z0, z1), s(x1)) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1)))) COUNT(empty, s(x1)) -> c8(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), s(x1), s(inc(x1)))) COUNT(node(z0, z1), s(x1)) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1)))) COUNT(node(z0, z1), s(x1)) -> c8(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1)))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), empty)), x0, inc(x0))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), empty)), x0, inc(x0))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), empty)), x0, inc(x0))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x0, inc(x0))) COUNT(node(z0, z1), x2) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), z1)), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), z1)), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c8(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x2, inc(x2))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(empty, right(empty))), x0, inc(x0))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(empty), right(empty))), x0, inc(x0))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(empty), right(empty))), x0, inc(x0))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x0, inc(x0))) COUNT(node(node(z0, z1), x1), x2) -> c8(IF(isEmpty(node(node(z0, z1), x1)), isEmpty(left(node(node(z0, z1), x1))), right(node(node(z0, z1), x1)), node(left(left(node(node(z0, z1), x1))), node(z1, right(node(node(z0, z1), x1)))), x2, inc(x2))) COUNT(node(empty, x1), x2) -> c8(IF(isEmpty(node(empty, x1)), isEmpty(left(node(empty, x1))), right(node(empty, x1)), node(left(left(node(empty, x1))), node(empty, right(node(empty, x1)))), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(z0), right(node(z0, z1)))), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c8(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x2, inc(x2))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(empty, node(right(left(empty)), right(empty))), x0, inc(x0))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(empty), node(right(left(empty)), right(empty))), x0, inc(x0))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x0, inc(x0))) COUNT(node(node(z0, z1), x1), x2) -> c8(IF(isEmpty(node(node(z0, z1), x1)), isEmpty(left(node(node(z0, z1), x1))), right(node(node(z0, z1), x1)), node(z0, node(right(left(node(node(z0, z1), x1))), right(node(node(z0, z1), x1)))), x2, inc(x2))) COUNT(node(empty, x1), x2) -> c8(IF(isEmpty(node(empty, x1)), isEmpty(left(node(empty, x1))), right(node(empty, x1)), node(empty, node(right(left(node(empty, x1))), right(node(empty, x1)))), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c8(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), isEmpty(empty), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x0, inc(x0))) COUNT(node(z0, z1), x2) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(z0), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c8(IF(false, isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), true, right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x0, inc(x0))) COUNT(node(node(z0, z1), x1), x2) -> c8(IF(isEmpty(node(node(z0, z1), x1)), false, right(node(node(z0, z1), x1)), node(left(left(node(node(z0, z1), x1))), node(right(left(node(node(z0, z1), x1))), right(node(node(z0, z1), x1)))), x2, inc(x2))) COUNT(node(empty, x1), x2) -> c8(IF(isEmpty(node(empty, x1)), true, right(node(empty, x1)), node(left(left(node(empty, x1))), node(right(left(node(empty, x1))), right(node(empty, x1)))), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c8(IF(false, isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2))) S tuples: INC(s(z0)) -> c7(INC(z0)) IF(false, false, z0, z1, z2, z3) -> c16(COUNT(z1, z2)) IF(false, true, z0, z1, z2, z3) -> c17(COUNT(z0, z3)) COUNT(x0, 0) -> c9(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(x0, s(z0)) -> c9(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0)))) COUNT(empty, x1) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1))) COUNT(empty, x1) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c9(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c9(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, 0) -> c10(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(x0, s(z0)) -> c10(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0)))) COUNT(empty, x1) -> c10(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1))) COUNT(empty, x1) -> c10(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c10(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c10(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c10(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, 0) -> c11(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(x0, s(z0)) -> c11(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0)))) COUNT(empty, x1) -> c11(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1))) COUNT(empty, x1) -> c11(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c11(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c11(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c11(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, 0) -> c12(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(x0, s(z0)) -> c12(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0)))) COUNT(empty, x1) -> c12(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1))) COUNT(empty, x1) -> c12(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c12(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c12(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c12(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, 0) -> c13(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(x0, s(z0)) -> c13(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0)))) COUNT(empty, x1) -> c13(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1))) COUNT(empty, x1) -> c13(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c13(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c13(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c13(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, s(0)) -> c14(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(0), s(s(0))), INC(s(0))) COUNT(x0, s(s(z0))) -> c14(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(s(z0)), s(s(inc(z0)))), INC(s(s(z0)))) COUNT(empty, s(x1)) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), s(x1), s(inc(x1))), INC(s(x1))) COUNT(empty, s(x1)) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(empty, s(x1)) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(empty, s(x1)) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(empty, s(x1)) -> c14(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), empty)), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), empty)), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), empty)), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x0, inc(x0)), INC(x0)) COUNT(empty, 0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), 0, s(0))) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), z1)), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), z1)), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x2, inc(x2)), INC(x2)) COUNT(node(x0, x1), 0) -> c14(IF(isEmpty(node(x0, x1)), isEmpty(left(node(x0, x1))), right(node(x0, x1)), node(left(left(node(x0, x1))), node(right(left(node(x0, x1))), x1)), 0, s(0))) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(empty, right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(empty), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(empty), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, 0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), 0, s(0))) COUNT(node(node(z0, z1), x1), x2) -> c14(IF(isEmpty(node(node(z0, z1), x1)), isEmpty(left(node(node(z0, z1), x1))), right(node(node(z0, z1), x1)), node(left(left(node(node(z0, z1), x1))), node(z1, right(node(node(z0, z1), x1)))), x2, inc(x2)), INC(x2)) COUNT(node(empty, x1), x2) -> c14(IF(isEmpty(node(empty, x1)), isEmpty(left(node(empty, x1))), right(node(empty, x1)), node(left(left(node(empty, x1))), node(empty, right(node(empty, x1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(z0), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(x0, x1), 0) -> c14(IF(isEmpty(node(x0, x1)), isEmpty(left(node(x0, x1))), right(node(x0, x1)), node(left(left(node(x0, x1))), node(right(x0), right(node(x0, x1)))), 0, s(0))) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(empty, node(right(left(empty)), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(empty), node(right(left(empty)), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, 0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), 0, s(0))) COUNT(node(node(z0, z1), x1), x2) -> c14(IF(isEmpty(node(node(z0, z1), x1)), isEmpty(left(node(node(z0, z1), x1))), right(node(node(z0, z1), x1)), node(z0, node(right(left(node(node(z0, z1), x1))), right(node(node(z0, z1), x1)))), x2, inc(x2)), INC(x2)) COUNT(node(empty, x1), x2) -> c14(IF(isEmpty(node(empty, x1)), isEmpty(left(node(empty, x1))), right(node(empty, x1)), node(empty, node(right(left(node(empty, x1))), right(node(empty, x1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(x0, x1), 0) -> c14(IF(isEmpty(node(x0, x1)), isEmpty(left(node(x0, x1))), right(node(x0, x1)), node(left(x0), node(right(left(node(x0, x1))), right(node(x0, x1)))), 0, s(0))) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(empty), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, 0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), 0, s(0))) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(z0), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(false, isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(x0, x1), 0) -> c14(IF(isEmpty(node(x0, x1)), isEmpty(left(node(x0, x1))), x1, node(left(left(node(x0, x1))), node(right(left(node(x0, x1))), right(node(x0, x1)))), 0, s(0))) COUNT(empty, x0) -> c14(IF(isEmpty(empty), true, right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, 0) -> c14(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), 0, s(0))) COUNT(node(node(z0, z1), x1), x2) -> c14(IF(isEmpty(node(node(z0, z1), x1)), false, right(node(node(z0, z1), x1)), node(left(left(node(node(z0, z1), x1))), node(right(left(node(node(z0, z1), x1))), right(node(node(z0, z1), x1)))), x2, inc(x2)), INC(x2)) COUNT(node(empty, x1), x2) -> c14(IF(isEmpty(node(empty, x1)), true, right(node(empty, x1)), node(left(left(node(empty, x1))), node(right(left(node(empty, x1))), right(node(empty, x1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(false, isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(x0, x1), 0) -> c14(IF(isEmpty(node(x0, x1)), isEmpty(x0), right(node(x0, x1)), node(left(left(node(x0, x1))), node(right(left(node(x0, x1))), right(node(x0, x1)))), 0, s(0))) COUNT(node(x0, x1), 0) -> c14(IF(false, isEmpty(left(node(x0, x1))), right(node(x0, x1)), node(left(left(node(x0, x1))), node(right(left(node(x0, x1))), right(node(x0, x1)))), 0, s(0))) COUNT(empty, 0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), 0, s(0))) COUNT(node(z0, z1), 0) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), 0, s(0))) COUNT(empty, 0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), 0, s(0))) COUNT(node(z0, z1), 0) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), 0, s(0))) COUNT(empty, 0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), 0, s(0))) COUNT(node(z0, z1), 0) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), 0, s(0))) COUNT(empty, 0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), 0, s(0))) COUNT(node(z0, z1), 0) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), 0, s(0))) COUNT(empty, 0) -> c8(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), 0, s(0))) COUNT(node(z0, z1), 0) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), 0, s(0))) COUNT(node(z0, z1), 0) -> c8(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), 0, s(0))) COUNT(x0, s(0)) -> c8(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(0), s(s(0)))) COUNT(x0, s(s(z0))) -> c8(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(s(z0)), s(s(inc(z0))))) COUNT(empty, s(x1)) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), s(x1), s(inc(x1)))) COUNT(node(z0, z1), s(x1)) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), s(x1), s(inc(x1)))) COUNT(empty, s(x1)) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), s(x1), s(inc(x1)))) COUNT(node(z0, z1), s(x1)) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), s(x1), s(inc(x1)))) COUNT(empty, s(x1)) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), s(x1), s(inc(x1)))) COUNT(node(z0, z1), s(x1)) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1)))) COUNT(empty, s(x1)) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), s(x1), s(inc(x1)))) COUNT(node(z0, z1), s(x1)) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1)))) COUNT(empty, s(x1)) -> c8(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), s(x1), s(inc(x1)))) COUNT(node(z0, z1), s(x1)) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1)))) COUNT(node(z0, z1), s(x1)) -> c8(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1)))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), empty)), x0, inc(x0))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), empty)), x0, inc(x0))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), empty)), x0, inc(x0))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x0, inc(x0))) COUNT(node(z0, z1), x2) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), z1)), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), z1)), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c8(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x2, inc(x2))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(empty, right(empty))), x0, inc(x0))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(empty), right(empty))), x0, inc(x0))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(empty), right(empty))), x0, inc(x0))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x0, inc(x0))) COUNT(node(node(z0, z1), x1), x2) -> c8(IF(isEmpty(node(node(z0, z1), x1)), isEmpty(left(node(node(z0, z1), x1))), right(node(node(z0, z1), x1)), node(left(left(node(node(z0, z1), x1))), node(z1, right(node(node(z0, z1), x1)))), x2, inc(x2))) COUNT(node(empty, x1), x2) -> c8(IF(isEmpty(node(empty, x1)), isEmpty(left(node(empty, x1))), right(node(empty, x1)), node(left(left(node(empty, x1))), node(empty, right(node(empty, x1)))), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(z0), right(node(z0, z1)))), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c8(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x2, inc(x2))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(empty, node(right(left(empty)), right(empty))), x0, inc(x0))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(empty), node(right(left(empty)), right(empty))), x0, inc(x0))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x0, inc(x0))) COUNT(node(node(z0, z1), x1), x2) -> c8(IF(isEmpty(node(node(z0, z1), x1)), isEmpty(left(node(node(z0, z1), x1))), right(node(node(z0, z1), x1)), node(z0, node(right(left(node(node(z0, z1), x1))), right(node(node(z0, z1), x1)))), x2, inc(x2))) COUNT(node(empty, x1), x2) -> c8(IF(isEmpty(node(empty, x1)), isEmpty(left(node(empty, x1))), right(node(empty, x1)), node(empty, node(right(left(node(empty, x1))), right(node(empty, x1)))), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c8(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), isEmpty(empty), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x0, inc(x0))) COUNT(node(z0, z1), x2) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(z0), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c8(IF(false, isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), true, right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x0, inc(x0))) COUNT(node(node(z0, z1), x1), x2) -> c8(IF(isEmpty(node(node(z0, z1), x1)), false, right(node(node(z0, z1), x1)), node(left(left(node(node(z0, z1), x1))), node(right(left(node(node(z0, z1), x1))), right(node(node(z0, z1), x1)))), x2, inc(x2))) COUNT(node(empty, x1), x2) -> c8(IF(isEmpty(node(empty, x1)), true, right(node(empty, x1)), node(left(left(node(empty, x1))), node(right(left(node(empty, x1))), right(node(empty, x1)))), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c8(IF(false, isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2))) K tuples: COUNT(empty, x1) -> c14(INC(x1)) COUNT(x0, s(x1)) -> c14(INC(s(x1))) COUNT(empty, s(x1)) -> c14(INC(s(x1))) Defined Rule Symbols: isEmpty_1, left_1, right_1, inc_1 Defined Pair Symbols: INC_1, IF_6, COUNT_2 Compound Symbols: c7_1, c16_1, c17_1, c14_1, c9_1, c10_1, c11_1, c12_1, c13_1, c14_2, c8_1 ---------------------------------------- (197) CdtNarrowingProof (BOTH BOUNDS(ID, ID)) Use narrowing to replace COUNT(x0, 0) -> c9(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) by COUNT(empty, 0) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), 0, s(0))) COUNT(node(z0, z1), 0) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), 0, s(0))) COUNT(empty, 0) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), 0, s(0))) COUNT(node(z0, z1), 0) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), 0, s(0))) COUNT(empty, 0) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), 0, s(0))) COUNT(node(z0, z1), 0) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), 0, s(0))) COUNT(empty, 0) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), 0, s(0))) COUNT(node(z0, z1), 0) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), 0, s(0))) COUNT(empty, 0) -> c9(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), 0, s(0))) COUNT(node(z0, z1), 0) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), 0, s(0))) COUNT(empty, 0) -> c9(IF(true, isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), 0, s(0))) COUNT(node(z0, z1), 0) -> c9(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), 0, s(0))) ---------------------------------------- (198) Obligation: Complexity Dependency Tuples Problem Rules: isEmpty(empty) -> true isEmpty(node(z0, z1)) -> false left(empty) -> empty left(node(z0, z1)) -> z0 right(empty) -> empty right(node(z0, z1)) -> z1 inc(0) -> s(0) inc(s(z0)) -> s(inc(z0)) Tuples: INC(s(z0)) -> c7(INC(z0)) IF(false, false, z0, z1, z2, z3) -> c16(COUNT(z1, z2)) IF(false, true, z0, z1, z2, z3) -> c17(COUNT(z0, z3)) COUNT(empty, x1) -> c14(INC(x1)) COUNT(x0, s(z0)) -> c9(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0)))) COUNT(empty, x1) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1))) COUNT(empty, x1) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c9(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c9(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, 0) -> c10(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(x0, s(z0)) -> c10(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0)))) COUNT(empty, x1) -> c10(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1))) COUNT(empty, x1) -> c10(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c10(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c10(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c10(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, 0) -> c11(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(x0, s(z0)) -> c11(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0)))) COUNT(empty, x1) -> c11(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1))) COUNT(empty, x1) -> c11(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c11(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c11(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c11(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, 0) -> c12(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(x0, s(z0)) -> c12(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0)))) COUNT(empty, x1) -> c12(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1))) COUNT(empty, x1) -> c12(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c12(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c12(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c12(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, 0) -> c13(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(x0, s(z0)) -> c13(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0)))) COUNT(empty, x1) -> c13(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1))) COUNT(empty, x1) -> c13(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c13(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c13(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c13(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, s(0)) -> c14(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(0), s(s(0))), INC(s(0))) COUNT(x0, s(s(z0))) -> c14(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(s(z0)), s(s(inc(z0)))), INC(s(s(z0)))) COUNT(empty, s(x1)) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), s(x1), s(inc(x1))), INC(s(x1))) COUNT(empty, s(x1)) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(empty, s(x1)) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(empty, s(x1)) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(empty, s(x1)) -> c14(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(x0, s(x1)) -> c14(INC(s(x1))) COUNT(empty, s(x1)) -> c14(INC(s(x1))) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), empty)), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), empty)), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), empty)), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x0, inc(x0)), INC(x0)) COUNT(empty, 0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), 0, s(0))) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), z1)), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), z1)), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x2, inc(x2)), INC(x2)) COUNT(node(x0, x1), 0) -> c14(IF(isEmpty(node(x0, x1)), isEmpty(left(node(x0, x1))), right(node(x0, x1)), node(left(left(node(x0, x1))), node(right(left(node(x0, x1))), x1)), 0, s(0))) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(empty, right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(empty), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(empty), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, 0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), 0, s(0))) COUNT(node(node(z0, z1), x1), x2) -> c14(IF(isEmpty(node(node(z0, z1), x1)), isEmpty(left(node(node(z0, z1), x1))), right(node(node(z0, z1), x1)), node(left(left(node(node(z0, z1), x1))), node(z1, right(node(node(z0, z1), x1)))), x2, inc(x2)), INC(x2)) COUNT(node(empty, x1), x2) -> c14(IF(isEmpty(node(empty, x1)), isEmpty(left(node(empty, x1))), right(node(empty, x1)), node(left(left(node(empty, x1))), node(empty, right(node(empty, x1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(z0), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(x0, x1), 0) -> c14(IF(isEmpty(node(x0, x1)), isEmpty(left(node(x0, x1))), right(node(x0, x1)), node(left(left(node(x0, x1))), node(right(x0), right(node(x0, x1)))), 0, s(0))) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(empty, node(right(left(empty)), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(empty), node(right(left(empty)), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, 0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), 0, s(0))) COUNT(node(node(z0, z1), x1), x2) -> c14(IF(isEmpty(node(node(z0, z1), x1)), isEmpty(left(node(node(z0, z1), x1))), right(node(node(z0, z1), x1)), node(z0, node(right(left(node(node(z0, z1), x1))), right(node(node(z0, z1), x1)))), x2, inc(x2)), INC(x2)) COUNT(node(empty, x1), x2) -> c14(IF(isEmpty(node(empty, x1)), isEmpty(left(node(empty, x1))), right(node(empty, x1)), node(empty, node(right(left(node(empty, x1))), right(node(empty, x1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(x0, x1), 0) -> c14(IF(isEmpty(node(x0, x1)), isEmpty(left(node(x0, x1))), right(node(x0, x1)), node(left(x0), node(right(left(node(x0, x1))), right(node(x0, x1)))), 0, s(0))) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(empty), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, 0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), 0, s(0))) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(z0), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(false, isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(x0, x1), 0) -> c14(IF(isEmpty(node(x0, x1)), isEmpty(left(node(x0, x1))), x1, node(left(left(node(x0, x1))), node(right(left(node(x0, x1))), right(node(x0, x1)))), 0, s(0))) COUNT(empty, x0) -> c14(IF(isEmpty(empty), true, right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, 0) -> c14(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), 0, s(0))) COUNT(node(node(z0, z1), x1), x2) -> c14(IF(isEmpty(node(node(z0, z1), x1)), false, right(node(node(z0, z1), x1)), node(left(left(node(node(z0, z1), x1))), node(right(left(node(node(z0, z1), x1))), right(node(node(z0, z1), x1)))), x2, inc(x2)), INC(x2)) COUNT(node(empty, x1), x2) -> c14(IF(isEmpty(node(empty, x1)), true, right(node(empty, x1)), node(left(left(node(empty, x1))), node(right(left(node(empty, x1))), right(node(empty, x1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(false, isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(x0, x1), 0) -> c14(IF(isEmpty(node(x0, x1)), isEmpty(x0), right(node(x0, x1)), node(left(left(node(x0, x1))), node(right(left(node(x0, x1))), right(node(x0, x1)))), 0, s(0))) COUNT(node(x0, x1), 0) -> c14(IF(false, isEmpty(left(node(x0, x1))), right(node(x0, x1)), node(left(left(node(x0, x1))), node(right(left(node(x0, x1))), right(node(x0, x1)))), 0, s(0))) COUNT(empty, 0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), 0, s(0))) COUNT(node(z0, z1), 0) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), 0, s(0))) COUNT(empty, 0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), 0, s(0))) COUNT(node(z0, z1), 0) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), 0, s(0))) COUNT(empty, 0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), 0, s(0))) COUNT(node(z0, z1), 0) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), 0, s(0))) COUNT(empty, 0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), 0, s(0))) COUNT(node(z0, z1), 0) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), 0, s(0))) COUNT(empty, 0) -> c8(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), 0, s(0))) COUNT(node(z0, z1), 0) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), 0, s(0))) COUNT(node(z0, z1), 0) -> c8(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), 0, s(0))) COUNT(x0, s(0)) -> c8(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(0), s(s(0)))) COUNT(x0, s(s(z0))) -> c8(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(s(z0)), s(s(inc(z0))))) COUNT(empty, s(x1)) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), s(x1), s(inc(x1)))) COUNT(node(z0, z1), s(x1)) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), s(x1), s(inc(x1)))) COUNT(empty, s(x1)) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), s(x1), s(inc(x1)))) COUNT(node(z0, z1), s(x1)) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), s(x1), s(inc(x1)))) COUNT(empty, s(x1)) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), s(x1), s(inc(x1)))) COUNT(node(z0, z1), s(x1)) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1)))) COUNT(empty, s(x1)) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), s(x1), s(inc(x1)))) COUNT(node(z0, z1), s(x1)) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1)))) COUNT(empty, s(x1)) -> c8(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), s(x1), s(inc(x1)))) COUNT(node(z0, z1), s(x1)) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1)))) COUNT(node(z0, z1), s(x1)) -> c8(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1)))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), empty)), x0, inc(x0))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), empty)), x0, inc(x0))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), empty)), x0, inc(x0))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x0, inc(x0))) COUNT(node(z0, z1), x2) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), z1)), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), z1)), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c8(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x2, inc(x2))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(empty, right(empty))), x0, inc(x0))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(empty), right(empty))), x0, inc(x0))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(empty), right(empty))), x0, inc(x0))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x0, inc(x0))) COUNT(node(node(z0, z1), x1), x2) -> c8(IF(isEmpty(node(node(z0, z1), x1)), isEmpty(left(node(node(z0, z1), x1))), right(node(node(z0, z1), x1)), node(left(left(node(node(z0, z1), x1))), node(z1, right(node(node(z0, z1), x1)))), x2, inc(x2))) COUNT(node(empty, x1), x2) -> c8(IF(isEmpty(node(empty, x1)), isEmpty(left(node(empty, x1))), right(node(empty, x1)), node(left(left(node(empty, x1))), node(empty, right(node(empty, x1)))), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(z0), right(node(z0, z1)))), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c8(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x2, inc(x2))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(empty, node(right(left(empty)), right(empty))), x0, inc(x0))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(empty), node(right(left(empty)), right(empty))), x0, inc(x0))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x0, inc(x0))) COUNT(node(node(z0, z1), x1), x2) -> c8(IF(isEmpty(node(node(z0, z1), x1)), isEmpty(left(node(node(z0, z1), x1))), right(node(node(z0, z1), x1)), node(z0, node(right(left(node(node(z0, z1), x1))), right(node(node(z0, z1), x1)))), x2, inc(x2))) COUNT(node(empty, x1), x2) -> c8(IF(isEmpty(node(empty, x1)), isEmpty(left(node(empty, x1))), right(node(empty, x1)), node(empty, node(right(left(node(empty, x1))), right(node(empty, x1)))), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c8(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), isEmpty(empty), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x0, inc(x0))) COUNT(node(z0, z1), x2) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(z0), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c8(IF(false, isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), true, right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x0, inc(x0))) COUNT(node(node(z0, z1), x1), x2) -> c8(IF(isEmpty(node(node(z0, z1), x1)), false, right(node(node(z0, z1), x1)), node(left(left(node(node(z0, z1), x1))), node(right(left(node(node(z0, z1), x1))), right(node(node(z0, z1), x1)))), x2, inc(x2))) COUNT(node(empty, x1), x2) -> c8(IF(isEmpty(node(empty, x1)), true, right(node(empty, x1)), node(left(left(node(empty, x1))), node(right(left(node(empty, x1))), right(node(empty, x1)))), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c8(IF(false, isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2))) COUNT(empty, 0) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), 0, s(0))) COUNT(node(z0, z1), 0) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), 0, s(0))) COUNT(empty, 0) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), 0, s(0))) COUNT(node(z0, z1), 0) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), 0, s(0))) COUNT(empty, 0) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), 0, s(0))) COUNT(node(z0, z1), 0) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), 0, s(0))) COUNT(empty, 0) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), 0, s(0))) COUNT(node(z0, z1), 0) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), 0, s(0))) COUNT(empty, 0) -> c9(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), 0, s(0))) COUNT(node(z0, z1), 0) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), 0, s(0))) COUNT(empty, 0) -> c9(IF(true, isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), 0, s(0))) COUNT(node(z0, z1), 0) -> c9(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), 0, s(0))) S tuples: INC(s(z0)) -> c7(INC(z0)) IF(false, false, z0, z1, z2, z3) -> c16(COUNT(z1, z2)) IF(false, true, z0, z1, z2, z3) -> c17(COUNT(z0, z3)) COUNT(x0, s(z0)) -> c9(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0)))) COUNT(empty, x1) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1))) COUNT(empty, x1) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c9(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c9(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, 0) -> c10(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(x0, s(z0)) -> c10(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0)))) COUNT(empty, x1) -> c10(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1))) COUNT(empty, x1) -> c10(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c10(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c10(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c10(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, 0) -> c11(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(x0, s(z0)) -> c11(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0)))) COUNT(empty, x1) -> c11(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1))) COUNT(empty, x1) -> c11(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c11(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c11(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c11(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, 0) -> c12(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(x0, s(z0)) -> c12(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0)))) COUNT(empty, x1) -> c12(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1))) COUNT(empty, x1) -> c12(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c12(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c12(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c12(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, 0) -> c13(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(x0, s(z0)) -> c13(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0)))) COUNT(empty, x1) -> c13(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1))) COUNT(empty, x1) -> c13(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c13(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c13(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c13(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, s(0)) -> c14(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(0), s(s(0))), INC(s(0))) COUNT(x0, s(s(z0))) -> c14(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(s(z0)), s(s(inc(z0)))), INC(s(s(z0)))) COUNT(empty, s(x1)) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), s(x1), s(inc(x1))), INC(s(x1))) COUNT(empty, s(x1)) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(empty, s(x1)) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(empty, s(x1)) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(empty, s(x1)) -> c14(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), empty)), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), empty)), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), empty)), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x0, inc(x0)), INC(x0)) COUNT(empty, 0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), 0, s(0))) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), z1)), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), z1)), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x2, inc(x2)), INC(x2)) COUNT(node(x0, x1), 0) -> c14(IF(isEmpty(node(x0, x1)), isEmpty(left(node(x0, x1))), right(node(x0, x1)), node(left(left(node(x0, x1))), node(right(left(node(x0, x1))), x1)), 0, s(0))) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(empty, right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(empty), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(empty), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, 0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), 0, s(0))) COUNT(node(node(z0, z1), x1), x2) -> c14(IF(isEmpty(node(node(z0, z1), x1)), isEmpty(left(node(node(z0, z1), x1))), right(node(node(z0, z1), x1)), node(left(left(node(node(z0, z1), x1))), node(z1, right(node(node(z0, z1), x1)))), x2, inc(x2)), INC(x2)) COUNT(node(empty, x1), x2) -> c14(IF(isEmpty(node(empty, x1)), isEmpty(left(node(empty, x1))), right(node(empty, x1)), node(left(left(node(empty, x1))), node(empty, right(node(empty, x1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(z0), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(x0, x1), 0) -> c14(IF(isEmpty(node(x0, x1)), isEmpty(left(node(x0, x1))), right(node(x0, x1)), node(left(left(node(x0, x1))), node(right(x0), right(node(x0, x1)))), 0, s(0))) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(empty, node(right(left(empty)), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(empty), node(right(left(empty)), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, 0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), 0, s(0))) COUNT(node(node(z0, z1), x1), x2) -> c14(IF(isEmpty(node(node(z0, z1), x1)), isEmpty(left(node(node(z0, z1), x1))), right(node(node(z0, z1), x1)), node(z0, node(right(left(node(node(z0, z1), x1))), right(node(node(z0, z1), x1)))), x2, inc(x2)), INC(x2)) COUNT(node(empty, x1), x2) -> c14(IF(isEmpty(node(empty, x1)), isEmpty(left(node(empty, x1))), right(node(empty, x1)), node(empty, node(right(left(node(empty, x1))), right(node(empty, x1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(x0, x1), 0) -> c14(IF(isEmpty(node(x0, x1)), isEmpty(left(node(x0, x1))), right(node(x0, x1)), node(left(x0), node(right(left(node(x0, x1))), right(node(x0, x1)))), 0, s(0))) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(empty), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, 0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), 0, s(0))) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(z0), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(false, isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(x0, x1), 0) -> c14(IF(isEmpty(node(x0, x1)), isEmpty(left(node(x0, x1))), x1, node(left(left(node(x0, x1))), node(right(left(node(x0, x1))), right(node(x0, x1)))), 0, s(0))) COUNT(empty, x0) -> c14(IF(isEmpty(empty), true, right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, 0) -> c14(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), 0, s(0))) COUNT(node(node(z0, z1), x1), x2) -> c14(IF(isEmpty(node(node(z0, z1), x1)), false, right(node(node(z0, z1), x1)), node(left(left(node(node(z0, z1), x1))), node(right(left(node(node(z0, z1), x1))), right(node(node(z0, z1), x1)))), x2, inc(x2)), INC(x2)) COUNT(node(empty, x1), x2) -> c14(IF(isEmpty(node(empty, x1)), true, right(node(empty, x1)), node(left(left(node(empty, x1))), node(right(left(node(empty, x1))), right(node(empty, x1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(false, isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(x0, x1), 0) -> c14(IF(isEmpty(node(x0, x1)), isEmpty(x0), right(node(x0, x1)), node(left(left(node(x0, x1))), node(right(left(node(x0, x1))), right(node(x0, x1)))), 0, s(0))) COUNT(node(x0, x1), 0) -> c14(IF(false, isEmpty(left(node(x0, x1))), right(node(x0, x1)), node(left(left(node(x0, x1))), node(right(left(node(x0, x1))), right(node(x0, x1)))), 0, s(0))) COUNT(empty, 0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), 0, s(0))) COUNT(node(z0, z1), 0) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), 0, s(0))) COUNT(empty, 0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), 0, s(0))) COUNT(node(z0, z1), 0) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), 0, s(0))) COUNT(empty, 0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), 0, s(0))) COUNT(node(z0, z1), 0) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), 0, s(0))) COUNT(empty, 0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), 0, s(0))) COUNT(node(z0, z1), 0) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), 0, s(0))) COUNT(empty, 0) -> c8(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), 0, s(0))) COUNT(node(z0, z1), 0) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), 0, s(0))) COUNT(node(z0, z1), 0) -> c8(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), 0, s(0))) COUNT(x0, s(0)) -> c8(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(0), s(s(0)))) COUNT(x0, s(s(z0))) -> c8(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(s(z0)), s(s(inc(z0))))) COUNT(empty, s(x1)) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), s(x1), s(inc(x1)))) COUNT(node(z0, z1), s(x1)) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), s(x1), s(inc(x1)))) COUNT(empty, s(x1)) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), s(x1), s(inc(x1)))) COUNT(node(z0, z1), s(x1)) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), s(x1), s(inc(x1)))) COUNT(empty, s(x1)) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), s(x1), s(inc(x1)))) COUNT(node(z0, z1), s(x1)) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1)))) COUNT(empty, s(x1)) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), s(x1), s(inc(x1)))) COUNT(node(z0, z1), s(x1)) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1)))) COUNT(empty, s(x1)) -> c8(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), s(x1), s(inc(x1)))) COUNT(node(z0, z1), s(x1)) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1)))) COUNT(node(z0, z1), s(x1)) -> c8(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1)))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), empty)), x0, inc(x0))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), empty)), x0, inc(x0))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), empty)), x0, inc(x0))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x0, inc(x0))) COUNT(node(z0, z1), x2) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), z1)), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), z1)), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c8(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x2, inc(x2))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(empty, right(empty))), x0, inc(x0))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(empty), right(empty))), x0, inc(x0))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(empty), right(empty))), x0, inc(x0))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x0, inc(x0))) COUNT(node(node(z0, z1), x1), x2) -> c8(IF(isEmpty(node(node(z0, z1), x1)), isEmpty(left(node(node(z0, z1), x1))), right(node(node(z0, z1), x1)), node(left(left(node(node(z0, z1), x1))), node(z1, right(node(node(z0, z1), x1)))), x2, inc(x2))) COUNT(node(empty, x1), x2) -> c8(IF(isEmpty(node(empty, x1)), isEmpty(left(node(empty, x1))), right(node(empty, x1)), node(left(left(node(empty, x1))), node(empty, right(node(empty, x1)))), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(z0), right(node(z0, z1)))), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c8(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x2, inc(x2))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(empty, node(right(left(empty)), right(empty))), x0, inc(x0))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(empty), node(right(left(empty)), right(empty))), x0, inc(x0))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x0, inc(x0))) COUNT(node(node(z0, z1), x1), x2) -> c8(IF(isEmpty(node(node(z0, z1), x1)), isEmpty(left(node(node(z0, z1), x1))), right(node(node(z0, z1), x1)), node(z0, node(right(left(node(node(z0, z1), x1))), right(node(node(z0, z1), x1)))), x2, inc(x2))) COUNT(node(empty, x1), x2) -> c8(IF(isEmpty(node(empty, x1)), isEmpty(left(node(empty, x1))), right(node(empty, x1)), node(empty, node(right(left(node(empty, x1))), right(node(empty, x1)))), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c8(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), isEmpty(empty), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x0, inc(x0))) COUNT(node(z0, z1), x2) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(z0), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c8(IF(false, isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), true, right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x0, inc(x0))) COUNT(node(node(z0, z1), x1), x2) -> c8(IF(isEmpty(node(node(z0, z1), x1)), false, right(node(node(z0, z1), x1)), node(left(left(node(node(z0, z1), x1))), node(right(left(node(node(z0, z1), x1))), right(node(node(z0, z1), x1)))), x2, inc(x2))) COUNT(node(empty, x1), x2) -> c8(IF(isEmpty(node(empty, x1)), true, right(node(empty, x1)), node(left(left(node(empty, x1))), node(right(left(node(empty, x1))), right(node(empty, x1)))), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c8(IF(false, isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2))) COUNT(empty, 0) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), 0, s(0))) COUNT(node(z0, z1), 0) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), 0, s(0))) COUNT(empty, 0) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), 0, s(0))) COUNT(node(z0, z1), 0) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), 0, s(0))) COUNT(empty, 0) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), 0, s(0))) COUNT(node(z0, z1), 0) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), 0, s(0))) COUNT(empty, 0) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), 0, s(0))) COUNT(node(z0, z1), 0) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), 0, s(0))) COUNT(empty, 0) -> c9(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), 0, s(0))) COUNT(node(z0, z1), 0) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), 0, s(0))) COUNT(empty, 0) -> c9(IF(true, isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), 0, s(0))) COUNT(node(z0, z1), 0) -> c9(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), 0, s(0))) K tuples: COUNT(empty, x1) -> c14(INC(x1)) COUNT(x0, s(x1)) -> c14(INC(s(x1))) COUNT(empty, s(x1)) -> c14(INC(s(x1))) Defined Rule Symbols: isEmpty_1, left_1, right_1, inc_1 Defined Pair Symbols: INC_1, IF_6, COUNT_2 Compound Symbols: c7_1, c16_1, c17_1, c14_1, c9_1, c10_1, c11_1, c12_1, c13_1, c14_2, c8_1 ---------------------------------------- (199) CdtLeafRemovalProof (BOTH BOUNDS(ID, ID)) Removed 1 trailing nodes: COUNT(empty, 0) -> c9(IF(true, isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), 0, s(0))) ---------------------------------------- (200) Obligation: Complexity Dependency Tuples Problem Rules: isEmpty(empty) -> true isEmpty(node(z0, z1)) -> false left(empty) -> empty left(node(z0, z1)) -> z0 right(empty) -> empty right(node(z0, z1)) -> z1 inc(0) -> s(0) inc(s(z0)) -> s(inc(z0)) Tuples: INC(s(z0)) -> c7(INC(z0)) IF(false, false, z0, z1, z2, z3) -> c16(COUNT(z1, z2)) IF(false, true, z0, z1, z2, z3) -> c17(COUNT(z0, z3)) COUNT(empty, x1) -> c14(INC(x1)) COUNT(x0, s(z0)) -> c9(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0)))) COUNT(empty, x1) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1))) COUNT(empty, x1) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c9(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c9(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, 0) -> c10(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(x0, s(z0)) -> c10(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0)))) COUNT(empty, x1) -> c10(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1))) COUNT(empty, x1) -> c10(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c10(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c10(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c10(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, 0) -> c11(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(x0, s(z0)) -> c11(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0)))) COUNT(empty, x1) -> c11(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1))) COUNT(empty, x1) -> c11(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c11(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c11(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c11(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, 0) -> c12(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(x0, s(z0)) -> c12(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0)))) COUNT(empty, x1) -> c12(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1))) COUNT(empty, x1) -> c12(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c12(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c12(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c12(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, 0) -> c13(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(x0, s(z0)) -> c13(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0)))) COUNT(empty, x1) -> c13(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1))) COUNT(empty, x1) -> c13(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c13(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c13(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c13(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, s(0)) -> c14(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(0), s(s(0))), INC(s(0))) COUNT(x0, s(s(z0))) -> c14(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(s(z0)), s(s(inc(z0)))), INC(s(s(z0)))) COUNT(empty, s(x1)) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), s(x1), s(inc(x1))), INC(s(x1))) COUNT(empty, s(x1)) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(empty, s(x1)) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(empty, s(x1)) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(empty, s(x1)) -> c14(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(x0, s(x1)) -> c14(INC(s(x1))) COUNT(empty, s(x1)) -> c14(INC(s(x1))) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), empty)), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), empty)), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), empty)), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x0, inc(x0)), INC(x0)) COUNT(empty, 0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), 0, s(0))) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), z1)), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), z1)), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x2, inc(x2)), INC(x2)) COUNT(node(x0, x1), 0) -> c14(IF(isEmpty(node(x0, x1)), isEmpty(left(node(x0, x1))), right(node(x0, x1)), node(left(left(node(x0, x1))), node(right(left(node(x0, x1))), x1)), 0, s(0))) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(empty, right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(empty), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(empty), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, 0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), 0, s(0))) COUNT(node(node(z0, z1), x1), x2) -> c14(IF(isEmpty(node(node(z0, z1), x1)), isEmpty(left(node(node(z0, z1), x1))), right(node(node(z0, z1), x1)), node(left(left(node(node(z0, z1), x1))), node(z1, right(node(node(z0, z1), x1)))), x2, inc(x2)), INC(x2)) COUNT(node(empty, x1), x2) -> c14(IF(isEmpty(node(empty, x1)), isEmpty(left(node(empty, x1))), right(node(empty, x1)), node(left(left(node(empty, x1))), node(empty, right(node(empty, x1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(z0), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(x0, x1), 0) -> c14(IF(isEmpty(node(x0, x1)), isEmpty(left(node(x0, x1))), right(node(x0, x1)), node(left(left(node(x0, x1))), node(right(x0), right(node(x0, x1)))), 0, s(0))) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(empty, node(right(left(empty)), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(empty), node(right(left(empty)), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, 0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), 0, s(0))) COUNT(node(node(z0, z1), x1), x2) -> c14(IF(isEmpty(node(node(z0, z1), x1)), isEmpty(left(node(node(z0, z1), x1))), right(node(node(z0, z1), x1)), node(z0, node(right(left(node(node(z0, z1), x1))), right(node(node(z0, z1), x1)))), x2, inc(x2)), INC(x2)) COUNT(node(empty, x1), x2) -> c14(IF(isEmpty(node(empty, x1)), isEmpty(left(node(empty, x1))), right(node(empty, x1)), node(empty, node(right(left(node(empty, x1))), right(node(empty, x1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(x0, x1), 0) -> c14(IF(isEmpty(node(x0, x1)), isEmpty(left(node(x0, x1))), right(node(x0, x1)), node(left(x0), node(right(left(node(x0, x1))), right(node(x0, x1)))), 0, s(0))) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(empty), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, 0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), 0, s(0))) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(z0), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(false, isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(x0, x1), 0) -> c14(IF(isEmpty(node(x0, x1)), isEmpty(left(node(x0, x1))), x1, node(left(left(node(x0, x1))), node(right(left(node(x0, x1))), right(node(x0, x1)))), 0, s(0))) COUNT(empty, x0) -> c14(IF(isEmpty(empty), true, right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, 0) -> c14(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), 0, s(0))) COUNT(node(node(z0, z1), x1), x2) -> c14(IF(isEmpty(node(node(z0, z1), x1)), false, right(node(node(z0, z1), x1)), node(left(left(node(node(z0, z1), x1))), node(right(left(node(node(z0, z1), x1))), right(node(node(z0, z1), x1)))), x2, inc(x2)), INC(x2)) COUNT(node(empty, x1), x2) -> c14(IF(isEmpty(node(empty, x1)), true, right(node(empty, x1)), node(left(left(node(empty, x1))), node(right(left(node(empty, x1))), right(node(empty, x1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(false, isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(x0, x1), 0) -> c14(IF(isEmpty(node(x0, x1)), isEmpty(x0), right(node(x0, x1)), node(left(left(node(x0, x1))), node(right(left(node(x0, x1))), right(node(x0, x1)))), 0, s(0))) COUNT(node(x0, x1), 0) -> c14(IF(false, isEmpty(left(node(x0, x1))), right(node(x0, x1)), node(left(left(node(x0, x1))), node(right(left(node(x0, x1))), right(node(x0, x1)))), 0, s(0))) COUNT(empty, 0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), 0, s(0))) COUNT(node(z0, z1), 0) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), 0, s(0))) COUNT(empty, 0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), 0, s(0))) COUNT(node(z0, z1), 0) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), 0, s(0))) COUNT(empty, 0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), 0, s(0))) COUNT(node(z0, z1), 0) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), 0, s(0))) COUNT(empty, 0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), 0, s(0))) COUNT(node(z0, z1), 0) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), 0, s(0))) COUNT(empty, 0) -> c8(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), 0, s(0))) COUNT(node(z0, z1), 0) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), 0, s(0))) COUNT(node(z0, z1), 0) -> c8(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), 0, s(0))) COUNT(x0, s(0)) -> c8(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(0), s(s(0)))) COUNT(x0, s(s(z0))) -> c8(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(s(z0)), s(s(inc(z0))))) COUNT(empty, s(x1)) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), s(x1), s(inc(x1)))) COUNT(node(z0, z1), s(x1)) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), s(x1), s(inc(x1)))) COUNT(empty, s(x1)) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), s(x1), s(inc(x1)))) COUNT(node(z0, z1), s(x1)) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), s(x1), s(inc(x1)))) COUNT(empty, s(x1)) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), s(x1), s(inc(x1)))) COUNT(node(z0, z1), s(x1)) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1)))) COUNT(empty, s(x1)) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), s(x1), s(inc(x1)))) COUNT(node(z0, z1), s(x1)) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1)))) COUNT(empty, s(x1)) -> c8(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), s(x1), s(inc(x1)))) COUNT(node(z0, z1), s(x1)) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1)))) COUNT(node(z0, z1), s(x1)) -> c8(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1)))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), empty)), x0, inc(x0))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), empty)), x0, inc(x0))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), empty)), x0, inc(x0))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x0, inc(x0))) COUNT(node(z0, z1), x2) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), z1)), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), z1)), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c8(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x2, inc(x2))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(empty, right(empty))), x0, inc(x0))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(empty), right(empty))), x0, inc(x0))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(empty), right(empty))), x0, inc(x0))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x0, inc(x0))) COUNT(node(node(z0, z1), x1), x2) -> c8(IF(isEmpty(node(node(z0, z1), x1)), isEmpty(left(node(node(z0, z1), x1))), right(node(node(z0, z1), x1)), node(left(left(node(node(z0, z1), x1))), node(z1, right(node(node(z0, z1), x1)))), x2, inc(x2))) COUNT(node(empty, x1), x2) -> c8(IF(isEmpty(node(empty, x1)), isEmpty(left(node(empty, x1))), right(node(empty, x1)), node(left(left(node(empty, x1))), node(empty, right(node(empty, x1)))), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(z0), right(node(z0, z1)))), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c8(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x2, inc(x2))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(empty, node(right(left(empty)), right(empty))), x0, inc(x0))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(empty), node(right(left(empty)), right(empty))), x0, inc(x0))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x0, inc(x0))) COUNT(node(node(z0, z1), x1), x2) -> c8(IF(isEmpty(node(node(z0, z1), x1)), isEmpty(left(node(node(z0, z1), x1))), right(node(node(z0, z1), x1)), node(z0, node(right(left(node(node(z0, z1), x1))), right(node(node(z0, z1), x1)))), x2, inc(x2))) COUNT(node(empty, x1), x2) -> c8(IF(isEmpty(node(empty, x1)), isEmpty(left(node(empty, x1))), right(node(empty, x1)), node(empty, node(right(left(node(empty, x1))), right(node(empty, x1)))), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c8(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), isEmpty(empty), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x0, inc(x0))) COUNT(node(z0, z1), x2) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(z0), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c8(IF(false, isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), true, right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x0, inc(x0))) COUNT(node(node(z0, z1), x1), x2) -> c8(IF(isEmpty(node(node(z0, z1), x1)), false, right(node(node(z0, z1), x1)), node(left(left(node(node(z0, z1), x1))), node(right(left(node(node(z0, z1), x1))), right(node(node(z0, z1), x1)))), x2, inc(x2))) COUNT(node(empty, x1), x2) -> c8(IF(isEmpty(node(empty, x1)), true, right(node(empty, x1)), node(left(left(node(empty, x1))), node(right(left(node(empty, x1))), right(node(empty, x1)))), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c8(IF(false, isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2))) COUNT(empty, 0) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), 0, s(0))) COUNT(node(z0, z1), 0) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), 0, s(0))) COUNT(empty, 0) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), 0, s(0))) COUNT(node(z0, z1), 0) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), 0, s(0))) COUNT(empty, 0) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), 0, s(0))) COUNT(node(z0, z1), 0) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), 0, s(0))) COUNT(empty, 0) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), 0, s(0))) COUNT(node(z0, z1), 0) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), 0, s(0))) COUNT(empty, 0) -> c9(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), 0, s(0))) COUNT(node(z0, z1), 0) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), 0, s(0))) COUNT(node(z0, z1), 0) -> c9(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), 0, s(0))) S tuples: INC(s(z0)) -> c7(INC(z0)) IF(false, false, z0, z1, z2, z3) -> c16(COUNT(z1, z2)) IF(false, true, z0, z1, z2, z3) -> c17(COUNT(z0, z3)) COUNT(x0, s(z0)) -> c9(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0)))) COUNT(empty, x1) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1))) COUNT(empty, x1) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c9(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c9(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, 0) -> c10(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(x0, s(z0)) -> c10(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0)))) COUNT(empty, x1) -> c10(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1))) COUNT(empty, x1) -> c10(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c10(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c10(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c10(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, 0) -> c11(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(x0, s(z0)) -> c11(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0)))) COUNT(empty, x1) -> c11(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1))) COUNT(empty, x1) -> c11(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c11(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c11(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c11(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, 0) -> c12(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(x0, s(z0)) -> c12(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0)))) COUNT(empty, x1) -> c12(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1))) COUNT(empty, x1) -> c12(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c12(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c12(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c12(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, 0) -> c13(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(x0, s(z0)) -> c13(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0)))) COUNT(empty, x1) -> c13(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1))) COUNT(empty, x1) -> c13(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c13(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c13(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c13(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, s(0)) -> c14(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(0), s(s(0))), INC(s(0))) COUNT(x0, s(s(z0))) -> c14(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(s(z0)), s(s(inc(z0)))), INC(s(s(z0)))) COUNT(empty, s(x1)) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), s(x1), s(inc(x1))), INC(s(x1))) COUNT(empty, s(x1)) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(empty, s(x1)) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(empty, s(x1)) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(empty, s(x1)) -> c14(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), empty)), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), empty)), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), empty)), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x0, inc(x0)), INC(x0)) COUNT(empty, 0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), 0, s(0))) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), z1)), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), z1)), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x2, inc(x2)), INC(x2)) COUNT(node(x0, x1), 0) -> c14(IF(isEmpty(node(x0, x1)), isEmpty(left(node(x0, x1))), right(node(x0, x1)), node(left(left(node(x0, x1))), node(right(left(node(x0, x1))), x1)), 0, s(0))) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(empty, right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(empty), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(empty), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, 0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), 0, s(0))) COUNT(node(node(z0, z1), x1), x2) -> c14(IF(isEmpty(node(node(z0, z1), x1)), isEmpty(left(node(node(z0, z1), x1))), right(node(node(z0, z1), x1)), node(left(left(node(node(z0, z1), x1))), node(z1, right(node(node(z0, z1), x1)))), x2, inc(x2)), INC(x2)) COUNT(node(empty, x1), x2) -> c14(IF(isEmpty(node(empty, x1)), isEmpty(left(node(empty, x1))), right(node(empty, x1)), node(left(left(node(empty, x1))), node(empty, right(node(empty, x1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(z0), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(x0, x1), 0) -> c14(IF(isEmpty(node(x0, x1)), isEmpty(left(node(x0, x1))), right(node(x0, x1)), node(left(left(node(x0, x1))), node(right(x0), right(node(x0, x1)))), 0, s(0))) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(empty, node(right(left(empty)), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(empty), node(right(left(empty)), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, 0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), 0, s(0))) COUNT(node(node(z0, z1), x1), x2) -> c14(IF(isEmpty(node(node(z0, z1), x1)), isEmpty(left(node(node(z0, z1), x1))), right(node(node(z0, z1), x1)), node(z0, node(right(left(node(node(z0, z1), x1))), right(node(node(z0, z1), x1)))), x2, inc(x2)), INC(x2)) COUNT(node(empty, x1), x2) -> c14(IF(isEmpty(node(empty, x1)), isEmpty(left(node(empty, x1))), right(node(empty, x1)), node(empty, node(right(left(node(empty, x1))), right(node(empty, x1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(x0, x1), 0) -> c14(IF(isEmpty(node(x0, x1)), isEmpty(left(node(x0, x1))), right(node(x0, x1)), node(left(x0), node(right(left(node(x0, x1))), right(node(x0, x1)))), 0, s(0))) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(empty), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, 0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), 0, s(0))) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(z0), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(false, isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(x0, x1), 0) -> c14(IF(isEmpty(node(x0, x1)), isEmpty(left(node(x0, x1))), x1, node(left(left(node(x0, x1))), node(right(left(node(x0, x1))), right(node(x0, x1)))), 0, s(0))) COUNT(empty, x0) -> c14(IF(isEmpty(empty), true, right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, 0) -> c14(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), 0, s(0))) COUNT(node(node(z0, z1), x1), x2) -> c14(IF(isEmpty(node(node(z0, z1), x1)), false, right(node(node(z0, z1), x1)), node(left(left(node(node(z0, z1), x1))), node(right(left(node(node(z0, z1), x1))), right(node(node(z0, z1), x1)))), x2, inc(x2)), INC(x2)) COUNT(node(empty, x1), x2) -> c14(IF(isEmpty(node(empty, x1)), true, right(node(empty, x1)), node(left(left(node(empty, x1))), node(right(left(node(empty, x1))), right(node(empty, x1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(false, isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(x0, x1), 0) -> c14(IF(isEmpty(node(x0, x1)), isEmpty(x0), right(node(x0, x1)), node(left(left(node(x0, x1))), node(right(left(node(x0, x1))), right(node(x0, x1)))), 0, s(0))) COUNT(node(x0, x1), 0) -> c14(IF(false, isEmpty(left(node(x0, x1))), right(node(x0, x1)), node(left(left(node(x0, x1))), node(right(left(node(x0, x1))), right(node(x0, x1)))), 0, s(0))) COUNT(empty, 0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), 0, s(0))) COUNT(node(z0, z1), 0) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), 0, s(0))) COUNT(empty, 0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), 0, s(0))) COUNT(node(z0, z1), 0) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), 0, s(0))) COUNT(empty, 0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), 0, s(0))) COUNT(node(z0, z1), 0) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), 0, s(0))) COUNT(empty, 0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), 0, s(0))) COUNT(node(z0, z1), 0) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), 0, s(0))) COUNT(empty, 0) -> c8(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), 0, s(0))) COUNT(node(z0, z1), 0) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), 0, s(0))) COUNT(node(z0, z1), 0) -> c8(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), 0, s(0))) COUNT(x0, s(0)) -> c8(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(0), s(s(0)))) COUNT(x0, s(s(z0))) -> c8(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(s(z0)), s(s(inc(z0))))) COUNT(empty, s(x1)) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), s(x1), s(inc(x1)))) COUNT(node(z0, z1), s(x1)) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), s(x1), s(inc(x1)))) COUNT(empty, s(x1)) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), s(x1), s(inc(x1)))) COUNT(node(z0, z1), s(x1)) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), s(x1), s(inc(x1)))) COUNT(empty, s(x1)) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), s(x1), s(inc(x1)))) COUNT(node(z0, z1), s(x1)) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1)))) COUNT(empty, s(x1)) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), s(x1), s(inc(x1)))) COUNT(node(z0, z1), s(x1)) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1)))) COUNT(empty, s(x1)) -> c8(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), s(x1), s(inc(x1)))) COUNT(node(z0, z1), s(x1)) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1)))) COUNT(node(z0, z1), s(x1)) -> c8(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1)))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), empty)), x0, inc(x0))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), empty)), x0, inc(x0))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), empty)), x0, inc(x0))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x0, inc(x0))) COUNT(node(z0, z1), x2) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), z1)), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), z1)), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c8(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x2, inc(x2))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(empty, right(empty))), x0, inc(x0))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(empty), right(empty))), x0, inc(x0))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(empty), right(empty))), x0, inc(x0))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x0, inc(x0))) COUNT(node(node(z0, z1), x1), x2) -> c8(IF(isEmpty(node(node(z0, z1), x1)), isEmpty(left(node(node(z0, z1), x1))), right(node(node(z0, z1), x1)), node(left(left(node(node(z0, z1), x1))), node(z1, right(node(node(z0, z1), x1)))), x2, inc(x2))) COUNT(node(empty, x1), x2) -> c8(IF(isEmpty(node(empty, x1)), isEmpty(left(node(empty, x1))), right(node(empty, x1)), node(left(left(node(empty, x1))), node(empty, right(node(empty, x1)))), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(z0), right(node(z0, z1)))), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c8(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x2, inc(x2))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(empty, node(right(left(empty)), right(empty))), x0, inc(x0))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(empty), node(right(left(empty)), right(empty))), x0, inc(x0))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x0, inc(x0))) COUNT(node(node(z0, z1), x1), x2) -> c8(IF(isEmpty(node(node(z0, z1), x1)), isEmpty(left(node(node(z0, z1), x1))), right(node(node(z0, z1), x1)), node(z0, node(right(left(node(node(z0, z1), x1))), right(node(node(z0, z1), x1)))), x2, inc(x2))) COUNT(node(empty, x1), x2) -> c8(IF(isEmpty(node(empty, x1)), isEmpty(left(node(empty, x1))), right(node(empty, x1)), node(empty, node(right(left(node(empty, x1))), right(node(empty, x1)))), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c8(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), isEmpty(empty), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x0, inc(x0))) COUNT(node(z0, z1), x2) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(z0), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c8(IF(false, isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), true, right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x0, inc(x0))) COUNT(node(node(z0, z1), x1), x2) -> c8(IF(isEmpty(node(node(z0, z1), x1)), false, right(node(node(z0, z1), x1)), node(left(left(node(node(z0, z1), x1))), node(right(left(node(node(z0, z1), x1))), right(node(node(z0, z1), x1)))), x2, inc(x2))) COUNT(node(empty, x1), x2) -> c8(IF(isEmpty(node(empty, x1)), true, right(node(empty, x1)), node(left(left(node(empty, x1))), node(right(left(node(empty, x1))), right(node(empty, x1)))), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c8(IF(false, isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2))) COUNT(empty, 0) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), 0, s(0))) COUNT(node(z0, z1), 0) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), 0, s(0))) COUNT(empty, 0) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), 0, s(0))) COUNT(node(z0, z1), 0) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), 0, s(0))) COUNT(empty, 0) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), 0, s(0))) COUNT(node(z0, z1), 0) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), 0, s(0))) COUNT(empty, 0) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), 0, s(0))) COUNT(node(z0, z1), 0) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), 0, s(0))) COUNT(empty, 0) -> c9(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), 0, s(0))) COUNT(node(z0, z1), 0) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), 0, s(0))) COUNT(node(z0, z1), 0) -> c9(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), 0, s(0))) K tuples: COUNT(empty, x1) -> c14(INC(x1)) COUNT(x0, s(x1)) -> c14(INC(s(x1))) COUNT(empty, s(x1)) -> c14(INC(s(x1))) Defined Rule Symbols: isEmpty_1, left_1, right_1, inc_1 Defined Pair Symbols: INC_1, IF_6, COUNT_2 Compound Symbols: c7_1, c16_1, c17_1, c14_1, c9_1, c10_1, c11_1, c12_1, c13_1, c14_2, c8_1 ---------------------------------------- (201) CdtNarrowingProof (BOTH BOUNDS(ID, ID)) Use narrowing to replace COUNT(x0, s(z0)) -> c9(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0)))) by COUNT(x0, s(0)) -> c9(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(0), s(s(0)))) COUNT(x0, s(s(z0))) -> c9(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(s(z0)), s(s(inc(z0))))) COUNT(empty, s(x1)) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), s(x1), s(inc(x1)))) COUNT(node(z0, z1), s(x1)) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), s(x1), s(inc(x1)))) COUNT(empty, s(x1)) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), s(x1), s(inc(x1)))) COUNT(node(z0, z1), s(x1)) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), s(x1), s(inc(x1)))) COUNT(empty, s(x1)) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), s(x1), s(inc(x1)))) COUNT(node(z0, z1), s(x1)) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1)))) COUNT(empty, s(x1)) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), s(x1), s(inc(x1)))) COUNT(node(z0, z1), s(x1)) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1)))) COUNT(empty, s(x1)) -> c9(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), s(x1), s(inc(x1)))) COUNT(node(z0, z1), s(x1)) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1)))) COUNT(empty, s(x1)) -> c9(IF(true, isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), s(x1), s(inc(x1)))) COUNT(node(z0, z1), s(x1)) -> c9(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1)))) ---------------------------------------- (202) Obligation: Complexity Dependency Tuples Problem Rules: isEmpty(empty) -> true isEmpty(node(z0, z1)) -> false left(empty) -> empty left(node(z0, z1)) -> z0 right(empty) -> empty right(node(z0, z1)) -> z1 inc(0) -> s(0) inc(s(z0)) -> s(inc(z0)) Tuples: INC(s(z0)) -> c7(INC(z0)) IF(false, false, z0, z1, z2, z3) -> c16(COUNT(z1, z2)) IF(false, true, z0, z1, z2, z3) -> c17(COUNT(z0, z3)) COUNT(empty, x1) -> c14(INC(x1)) COUNT(empty, x1) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1))) COUNT(empty, x1) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c9(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c9(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, 0) -> c10(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(x0, s(z0)) -> c10(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0)))) COUNT(empty, x1) -> c10(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1))) COUNT(empty, x1) -> c10(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c10(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c10(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c10(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, 0) -> c11(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(x0, s(z0)) -> c11(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0)))) COUNT(empty, x1) -> c11(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1))) COUNT(empty, x1) -> c11(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c11(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c11(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c11(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, 0) -> c12(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(x0, s(z0)) -> c12(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0)))) COUNT(empty, x1) -> c12(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1))) COUNT(empty, x1) -> c12(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c12(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c12(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c12(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, 0) -> c13(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(x0, s(z0)) -> c13(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0)))) COUNT(empty, x1) -> c13(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1))) COUNT(empty, x1) -> c13(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c13(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c13(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c13(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, s(0)) -> c14(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(0), s(s(0))), INC(s(0))) COUNT(x0, s(s(z0))) -> c14(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(s(z0)), s(s(inc(z0)))), INC(s(s(z0)))) COUNT(empty, s(x1)) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), s(x1), s(inc(x1))), INC(s(x1))) COUNT(empty, s(x1)) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(empty, s(x1)) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(empty, s(x1)) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(empty, s(x1)) -> c14(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(x0, s(x1)) -> c14(INC(s(x1))) COUNT(empty, s(x1)) -> c14(INC(s(x1))) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), empty)), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), empty)), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), empty)), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x0, inc(x0)), INC(x0)) COUNT(empty, 0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), 0, s(0))) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), z1)), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), z1)), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x2, inc(x2)), INC(x2)) COUNT(node(x0, x1), 0) -> c14(IF(isEmpty(node(x0, x1)), isEmpty(left(node(x0, x1))), right(node(x0, x1)), node(left(left(node(x0, x1))), node(right(left(node(x0, x1))), x1)), 0, s(0))) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(empty, right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(empty), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(empty), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, 0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), 0, s(0))) COUNT(node(node(z0, z1), x1), x2) -> c14(IF(isEmpty(node(node(z0, z1), x1)), isEmpty(left(node(node(z0, z1), x1))), right(node(node(z0, z1), x1)), node(left(left(node(node(z0, z1), x1))), node(z1, right(node(node(z0, z1), x1)))), x2, inc(x2)), INC(x2)) COUNT(node(empty, x1), x2) -> c14(IF(isEmpty(node(empty, x1)), isEmpty(left(node(empty, x1))), right(node(empty, x1)), node(left(left(node(empty, x1))), node(empty, right(node(empty, x1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(z0), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(x0, x1), 0) -> c14(IF(isEmpty(node(x0, x1)), isEmpty(left(node(x0, x1))), right(node(x0, x1)), node(left(left(node(x0, x1))), node(right(x0), right(node(x0, x1)))), 0, s(0))) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(empty, node(right(left(empty)), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(empty), node(right(left(empty)), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, 0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), 0, s(0))) COUNT(node(node(z0, z1), x1), x2) -> c14(IF(isEmpty(node(node(z0, z1), x1)), isEmpty(left(node(node(z0, z1), x1))), right(node(node(z0, z1), x1)), node(z0, node(right(left(node(node(z0, z1), x1))), right(node(node(z0, z1), x1)))), x2, inc(x2)), INC(x2)) COUNT(node(empty, x1), x2) -> c14(IF(isEmpty(node(empty, x1)), isEmpty(left(node(empty, x1))), right(node(empty, x1)), node(empty, node(right(left(node(empty, x1))), right(node(empty, x1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(x0, x1), 0) -> c14(IF(isEmpty(node(x0, x1)), isEmpty(left(node(x0, x1))), right(node(x0, x1)), node(left(x0), node(right(left(node(x0, x1))), right(node(x0, x1)))), 0, s(0))) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(empty), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, 0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), 0, s(0))) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(z0), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(false, isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(x0, x1), 0) -> c14(IF(isEmpty(node(x0, x1)), isEmpty(left(node(x0, x1))), x1, node(left(left(node(x0, x1))), node(right(left(node(x0, x1))), right(node(x0, x1)))), 0, s(0))) COUNT(empty, x0) -> c14(IF(isEmpty(empty), true, right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, 0) -> c14(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), 0, s(0))) COUNT(node(node(z0, z1), x1), x2) -> c14(IF(isEmpty(node(node(z0, z1), x1)), false, right(node(node(z0, z1), x1)), node(left(left(node(node(z0, z1), x1))), node(right(left(node(node(z0, z1), x1))), right(node(node(z0, z1), x1)))), x2, inc(x2)), INC(x2)) COUNT(node(empty, x1), x2) -> c14(IF(isEmpty(node(empty, x1)), true, right(node(empty, x1)), node(left(left(node(empty, x1))), node(right(left(node(empty, x1))), right(node(empty, x1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(false, isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(x0, x1), 0) -> c14(IF(isEmpty(node(x0, x1)), isEmpty(x0), right(node(x0, x1)), node(left(left(node(x0, x1))), node(right(left(node(x0, x1))), right(node(x0, x1)))), 0, s(0))) COUNT(node(x0, x1), 0) -> c14(IF(false, isEmpty(left(node(x0, x1))), right(node(x0, x1)), node(left(left(node(x0, x1))), node(right(left(node(x0, x1))), right(node(x0, x1)))), 0, s(0))) COUNT(empty, 0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), 0, s(0))) COUNT(node(z0, z1), 0) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), 0, s(0))) COUNT(empty, 0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), 0, s(0))) COUNT(node(z0, z1), 0) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), 0, s(0))) COUNT(empty, 0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), 0, s(0))) COUNT(node(z0, z1), 0) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), 0, s(0))) COUNT(empty, 0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), 0, s(0))) COUNT(node(z0, z1), 0) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), 0, s(0))) COUNT(empty, 0) -> c8(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), 0, s(0))) COUNT(node(z0, z1), 0) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), 0, s(0))) COUNT(node(z0, z1), 0) -> c8(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), 0, s(0))) COUNT(x0, s(0)) -> c8(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(0), s(s(0)))) COUNT(x0, s(s(z0))) -> c8(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(s(z0)), s(s(inc(z0))))) COUNT(empty, s(x1)) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), s(x1), s(inc(x1)))) COUNT(node(z0, z1), s(x1)) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), s(x1), s(inc(x1)))) COUNT(empty, s(x1)) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), s(x1), s(inc(x1)))) COUNT(node(z0, z1), s(x1)) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), s(x1), s(inc(x1)))) COUNT(empty, s(x1)) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), s(x1), s(inc(x1)))) COUNT(node(z0, z1), s(x1)) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1)))) COUNT(empty, s(x1)) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), s(x1), s(inc(x1)))) COUNT(node(z0, z1), s(x1)) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1)))) COUNT(empty, s(x1)) -> c8(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), s(x1), s(inc(x1)))) COUNT(node(z0, z1), s(x1)) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1)))) COUNT(node(z0, z1), s(x1)) -> c8(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1)))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), empty)), x0, inc(x0))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), empty)), x0, inc(x0))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), empty)), x0, inc(x0))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x0, inc(x0))) COUNT(node(z0, z1), x2) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), z1)), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), z1)), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c8(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x2, inc(x2))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(empty, right(empty))), x0, inc(x0))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(empty), right(empty))), x0, inc(x0))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(empty), right(empty))), x0, inc(x0))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x0, inc(x0))) COUNT(node(node(z0, z1), x1), x2) -> c8(IF(isEmpty(node(node(z0, z1), x1)), isEmpty(left(node(node(z0, z1), x1))), right(node(node(z0, z1), x1)), node(left(left(node(node(z0, z1), x1))), node(z1, right(node(node(z0, z1), x1)))), x2, inc(x2))) COUNT(node(empty, x1), x2) -> c8(IF(isEmpty(node(empty, x1)), isEmpty(left(node(empty, x1))), right(node(empty, x1)), node(left(left(node(empty, x1))), node(empty, right(node(empty, x1)))), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(z0), right(node(z0, z1)))), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c8(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x2, inc(x2))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(empty, node(right(left(empty)), right(empty))), x0, inc(x0))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(empty), node(right(left(empty)), right(empty))), x0, inc(x0))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x0, inc(x0))) COUNT(node(node(z0, z1), x1), x2) -> c8(IF(isEmpty(node(node(z0, z1), x1)), isEmpty(left(node(node(z0, z1), x1))), right(node(node(z0, z1), x1)), node(z0, node(right(left(node(node(z0, z1), x1))), right(node(node(z0, z1), x1)))), x2, inc(x2))) COUNT(node(empty, x1), x2) -> c8(IF(isEmpty(node(empty, x1)), isEmpty(left(node(empty, x1))), right(node(empty, x1)), node(empty, node(right(left(node(empty, x1))), right(node(empty, x1)))), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c8(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), isEmpty(empty), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x0, inc(x0))) COUNT(node(z0, z1), x2) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(z0), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c8(IF(false, isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), true, right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x0, inc(x0))) COUNT(node(node(z0, z1), x1), x2) -> c8(IF(isEmpty(node(node(z0, z1), x1)), false, right(node(node(z0, z1), x1)), node(left(left(node(node(z0, z1), x1))), node(right(left(node(node(z0, z1), x1))), right(node(node(z0, z1), x1)))), x2, inc(x2))) COUNT(node(empty, x1), x2) -> c8(IF(isEmpty(node(empty, x1)), true, right(node(empty, x1)), node(left(left(node(empty, x1))), node(right(left(node(empty, x1))), right(node(empty, x1)))), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c8(IF(false, isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2))) COUNT(empty, 0) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), 0, s(0))) COUNT(node(z0, z1), 0) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), 0, s(0))) COUNT(empty, 0) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), 0, s(0))) COUNT(node(z0, z1), 0) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), 0, s(0))) COUNT(empty, 0) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), 0, s(0))) COUNT(node(z0, z1), 0) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), 0, s(0))) COUNT(empty, 0) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), 0, s(0))) COUNT(node(z0, z1), 0) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), 0, s(0))) COUNT(empty, 0) -> c9(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), 0, s(0))) COUNT(node(z0, z1), 0) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), 0, s(0))) COUNT(node(z0, z1), 0) -> c9(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), 0, s(0))) COUNT(x0, s(0)) -> c9(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(0), s(s(0)))) COUNT(x0, s(s(z0))) -> c9(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(s(z0)), s(s(inc(z0))))) COUNT(empty, s(x1)) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), s(x1), s(inc(x1)))) COUNT(node(z0, z1), s(x1)) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), s(x1), s(inc(x1)))) COUNT(empty, s(x1)) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), s(x1), s(inc(x1)))) COUNT(node(z0, z1), s(x1)) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), s(x1), s(inc(x1)))) COUNT(empty, s(x1)) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), s(x1), s(inc(x1)))) COUNT(node(z0, z1), s(x1)) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1)))) COUNT(empty, s(x1)) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), s(x1), s(inc(x1)))) COUNT(node(z0, z1), s(x1)) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1)))) COUNT(empty, s(x1)) -> c9(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), s(x1), s(inc(x1)))) COUNT(node(z0, z1), s(x1)) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1)))) COUNT(empty, s(x1)) -> c9(IF(true, isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), s(x1), s(inc(x1)))) COUNT(node(z0, z1), s(x1)) -> c9(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1)))) S tuples: INC(s(z0)) -> c7(INC(z0)) IF(false, false, z0, z1, z2, z3) -> c16(COUNT(z1, z2)) IF(false, true, z0, z1, z2, z3) -> c17(COUNT(z0, z3)) COUNT(empty, x1) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1))) COUNT(empty, x1) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c9(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c9(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, 0) -> c10(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(x0, s(z0)) -> c10(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0)))) COUNT(empty, x1) -> c10(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1))) COUNT(empty, x1) -> c10(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c10(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c10(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c10(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, 0) -> c11(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(x0, s(z0)) -> c11(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0)))) COUNT(empty, x1) -> c11(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1))) COUNT(empty, x1) -> c11(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c11(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c11(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c11(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, 0) -> c12(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(x0, s(z0)) -> c12(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0)))) COUNT(empty, x1) -> c12(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1))) COUNT(empty, x1) -> c12(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c12(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c12(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c12(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, 0) -> c13(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(x0, s(z0)) -> c13(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0)))) COUNT(empty, x1) -> c13(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1))) COUNT(empty, x1) -> c13(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c13(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c13(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c13(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, s(0)) -> c14(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(0), s(s(0))), INC(s(0))) COUNT(x0, s(s(z0))) -> c14(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(s(z0)), s(s(inc(z0)))), INC(s(s(z0)))) COUNT(empty, s(x1)) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), s(x1), s(inc(x1))), INC(s(x1))) COUNT(empty, s(x1)) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(empty, s(x1)) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(empty, s(x1)) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(empty, s(x1)) -> c14(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), empty)), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), empty)), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), empty)), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x0, inc(x0)), INC(x0)) COUNT(empty, 0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), 0, s(0))) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), z1)), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), z1)), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x2, inc(x2)), INC(x2)) COUNT(node(x0, x1), 0) -> c14(IF(isEmpty(node(x0, x1)), isEmpty(left(node(x0, x1))), right(node(x0, x1)), node(left(left(node(x0, x1))), node(right(left(node(x0, x1))), x1)), 0, s(0))) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(empty, right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(empty), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(empty), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, 0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), 0, s(0))) COUNT(node(node(z0, z1), x1), x2) -> c14(IF(isEmpty(node(node(z0, z1), x1)), isEmpty(left(node(node(z0, z1), x1))), right(node(node(z0, z1), x1)), node(left(left(node(node(z0, z1), x1))), node(z1, right(node(node(z0, z1), x1)))), x2, inc(x2)), INC(x2)) COUNT(node(empty, x1), x2) -> c14(IF(isEmpty(node(empty, x1)), isEmpty(left(node(empty, x1))), right(node(empty, x1)), node(left(left(node(empty, x1))), node(empty, right(node(empty, x1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(z0), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(x0, x1), 0) -> c14(IF(isEmpty(node(x0, x1)), isEmpty(left(node(x0, x1))), right(node(x0, x1)), node(left(left(node(x0, x1))), node(right(x0), right(node(x0, x1)))), 0, s(0))) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(empty, node(right(left(empty)), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(empty), node(right(left(empty)), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, 0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), 0, s(0))) COUNT(node(node(z0, z1), x1), x2) -> c14(IF(isEmpty(node(node(z0, z1), x1)), isEmpty(left(node(node(z0, z1), x1))), right(node(node(z0, z1), x1)), node(z0, node(right(left(node(node(z0, z1), x1))), right(node(node(z0, z1), x1)))), x2, inc(x2)), INC(x2)) COUNT(node(empty, x1), x2) -> c14(IF(isEmpty(node(empty, x1)), isEmpty(left(node(empty, x1))), right(node(empty, x1)), node(empty, node(right(left(node(empty, x1))), right(node(empty, x1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(x0, x1), 0) -> c14(IF(isEmpty(node(x0, x1)), isEmpty(left(node(x0, x1))), right(node(x0, x1)), node(left(x0), node(right(left(node(x0, x1))), right(node(x0, x1)))), 0, s(0))) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(empty), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, 0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), 0, s(0))) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(z0), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(false, isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(x0, x1), 0) -> c14(IF(isEmpty(node(x0, x1)), isEmpty(left(node(x0, x1))), x1, node(left(left(node(x0, x1))), node(right(left(node(x0, x1))), right(node(x0, x1)))), 0, s(0))) COUNT(empty, x0) -> c14(IF(isEmpty(empty), true, right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, 0) -> c14(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), 0, s(0))) COUNT(node(node(z0, z1), x1), x2) -> c14(IF(isEmpty(node(node(z0, z1), x1)), false, right(node(node(z0, z1), x1)), node(left(left(node(node(z0, z1), x1))), node(right(left(node(node(z0, z1), x1))), right(node(node(z0, z1), x1)))), x2, inc(x2)), INC(x2)) COUNT(node(empty, x1), x2) -> c14(IF(isEmpty(node(empty, x1)), true, right(node(empty, x1)), node(left(left(node(empty, x1))), node(right(left(node(empty, x1))), right(node(empty, x1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(false, isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(x0, x1), 0) -> c14(IF(isEmpty(node(x0, x1)), isEmpty(x0), right(node(x0, x1)), node(left(left(node(x0, x1))), node(right(left(node(x0, x1))), right(node(x0, x1)))), 0, s(0))) COUNT(node(x0, x1), 0) -> c14(IF(false, isEmpty(left(node(x0, x1))), right(node(x0, x1)), node(left(left(node(x0, x1))), node(right(left(node(x0, x1))), right(node(x0, x1)))), 0, s(0))) COUNT(empty, 0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), 0, s(0))) COUNT(node(z0, z1), 0) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), 0, s(0))) COUNT(empty, 0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), 0, s(0))) COUNT(node(z0, z1), 0) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), 0, s(0))) COUNT(empty, 0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), 0, s(0))) COUNT(node(z0, z1), 0) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), 0, s(0))) COUNT(empty, 0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), 0, s(0))) COUNT(node(z0, z1), 0) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), 0, s(0))) COUNT(empty, 0) -> c8(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), 0, s(0))) COUNT(node(z0, z1), 0) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), 0, s(0))) COUNT(node(z0, z1), 0) -> c8(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), 0, s(0))) COUNT(x0, s(0)) -> c8(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(0), s(s(0)))) COUNT(x0, s(s(z0))) -> c8(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(s(z0)), s(s(inc(z0))))) COUNT(empty, s(x1)) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), s(x1), s(inc(x1)))) COUNT(node(z0, z1), s(x1)) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), s(x1), s(inc(x1)))) COUNT(empty, s(x1)) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), s(x1), s(inc(x1)))) COUNT(node(z0, z1), s(x1)) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), s(x1), s(inc(x1)))) COUNT(empty, s(x1)) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), s(x1), s(inc(x1)))) COUNT(node(z0, z1), s(x1)) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1)))) COUNT(empty, s(x1)) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), s(x1), s(inc(x1)))) COUNT(node(z0, z1), s(x1)) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1)))) COUNT(empty, s(x1)) -> c8(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), s(x1), s(inc(x1)))) COUNT(node(z0, z1), s(x1)) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1)))) COUNT(node(z0, z1), s(x1)) -> c8(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1)))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), empty)), x0, inc(x0))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), empty)), x0, inc(x0))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), empty)), x0, inc(x0))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x0, inc(x0))) COUNT(node(z0, z1), x2) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), z1)), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), z1)), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c8(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x2, inc(x2))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(empty, right(empty))), x0, inc(x0))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(empty), right(empty))), x0, inc(x0))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(empty), right(empty))), x0, inc(x0))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x0, inc(x0))) COUNT(node(node(z0, z1), x1), x2) -> c8(IF(isEmpty(node(node(z0, z1), x1)), isEmpty(left(node(node(z0, z1), x1))), right(node(node(z0, z1), x1)), node(left(left(node(node(z0, z1), x1))), node(z1, right(node(node(z0, z1), x1)))), x2, inc(x2))) COUNT(node(empty, x1), x2) -> c8(IF(isEmpty(node(empty, x1)), isEmpty(left(node(empty, x1))), right(node(empty, x1)), node(left(left(node(empty, x1))), node(empty, right(node(empty, x1)))), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(z0), right(node(z0, z1)))), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c8(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x2, inc(x2))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(empty, node(right(left(empty)), right(empty))), x0, inc(x0))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(empty), node(right(left(empty)), right(empty))), x0, inc(x0))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x0, inc(x0))) COUNT(node(node(z0, z1), x1), x2) -> c8(IF(isEmpty(node(node(z0, z1), x1)), isEmpty(left(node(node(z0, z1), x1))), right(node(node(z0, z1), x1)), node(z0, node(right(left(node(node(z0, z1), x1))), right(node(node(z0, z1), x1)))), x2, inc(x2))) COUNT(node(empty, x1), x2) -> c8(IF(isEmpty(node(empty, x1)), isEmpty(left(node(empty, x1))), right(node(empty, x1)), node(empty, node(right(left(node(empty, x1))), right(node(empty, x1)))), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c8(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), isEmpty(empty), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x0, inc(x0))) COUNT(node(z0, z1), x2) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(z0), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c8(IF(false, isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), true, right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x0, inc(x0))) COUNT(node(node(z0, z1), x1), x2) -> c8(IF(isEmpty(node(node(z0, z1), x1)), false, right(node(node(z0, z1), x1)), node(left(left(node(node(z0, z1), x1))), node(right(left(node(node(z0, z1), x1))), right(node(node(z0, z1), x1)))), x2, inc(x2))) COUNT(node(empty, x1), x2) -> c8(IF(isEmpty(node(empty, x1)), true, right(node(empty, x1)), node(left(left(node(empty, x1))), node(right(left(node(empty, x1))), right(node(empty, x1)))), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c8(IF(false, isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2))) COUNT(empty, 0) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), 0, s(0))) COUNT(node(z0, z1), 0) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), 0, s(0))) COUNT(empty, 0) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), 0, s(0))) COUNT(node(z0, z1), 0) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), 0, s(0))) COUNT(empty, 0) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), 0, s(0))) COUNT(node(z0, z1), 0) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), 0, s(0))) COUNT(empty, 0) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), 0, s(0))) COUNT(node(z0, z1), 0) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), 0, s(0))) COUNT(empty, 0) -> c9(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), 0, s(0))) COUNT(node(z0, z1), 0) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), 0, s(0))) COUNT(node(z0, z1), 0) -> c9(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), 0, s(0))) COUNT(x0, s(0)) -> c9(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(0), s(s(0)))) COUNT(x0, s(s(z0))) -> c9(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(s(z0)), s(s(inc(z0))))) COUNT(empty, s(x1)) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), s(x1), s(inc(x1)))) COUNT(node(z0, z1), s(x1)) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), s(x1), s(inc(x1)))) COUNT(empty, s(x1)) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), s(x1), s(inc(x1)))) COUNT(node(z0, z1), s(x1)) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), s(x1), s(inc(x1)))) COUNT(empty, s(x1)) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), s(x1), s(inc(x1)))) COUNT(node(z0, z1), s(x1)) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1)))) COUNT(empty, s(x1)) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), s(x1), s(inc(x1)))) COUNT(node(z0, z1), s(x1)) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1)))) COUNT(empty, s(x1)) -> c9(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), s(x1), s(inc(x1)))) COUNT(node(z0, z1), s(x1)) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1)))) COUNT(empty, s(x1)) -> c9(IF(true, isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), s(x1), s(inc(x1)))) COUNT(node(z0, z1), s(x1)) -> c9(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1)))) K tuples: COUNT(empty, x1) -> c14(INC(x1)) COUNT(x0, s(x1)) -> c14(INC(s(x1))) COUNT(empty, s(x1)) -> c14(INC(s(x1))) Defined Rule Symbols: isEmpty_1, left_1, right_1, inc_1 Defined Pair Symbols: INC_1, IF_6, COUNT_2 Compound Symbols: c7_1, c16_1, c17_1, c14_1, c9_1, c10_1, c11_1, c12_1, c13_1, c14_2, c8_1 ---------------------------------------- (203) CdtLeafRemovalProof (BOTH BOUNDS(ID, ID)) Removed 1 trailing nodes: COUNT(empty, s(x1)) -> c9(IF(true, isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), s(x1), s(inc(x1)))) ---------------------------------------- (204) Obligation: Complexity Dependency Tuples Problem Rules: isEmpty(empty) -> true isEmpty(node(z0, z1)) -> false left(empty) -> empty left(node(z0, z1)) -> z0 right(empty) -> empty right(node(z0, z1)) -> z1 inc(0) -> s(0) inc(s(z0)) -> s(inc(z0)) Tuples: INC(s(z0)) -> c7(INC(z0)) IF(false, false, z0, z1, z2, z3) -> c16(COUNT(z1, z2)) IF(false, true, z0, z1, z2, z3) -> c17(COUNT(z0, z3)) COUNT(empty, x1) -> c14(INC(x1)) COUNT(empty, x1) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1))) COUNT(empty, x1) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c9(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c9(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, 0) -> c10(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(x0, s(z0)) -> c10(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0)))) COUNT(empty, x1) -> c10(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1))) COUNT(empty, x1) -> c10(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c10(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c10(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c10(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, 0) -> c11(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(x0, s(z0)) -> c11(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0)))) COUNT(empty, x1) -> c11(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1))) COUNT(empty, x1) -> c11(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c11(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c11(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c11(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, 0) -> c12(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(x0, s(z0)) -> c12(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0)))) COUNT(empty, x1) -> c12(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1))) COUNT(empty, x1) -> c12(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c12(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c12(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c12(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, 0) -> c13(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(x0, s(z0)) -> c13(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0)))) COUNT(empty, x1) -> c13(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1))) COUNT(empty, x1) -> c13(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c13(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c13(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c13(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, s(0)) -> c14(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(0), s(s(0))), INC(s(0))) COUNT(x0, s(s(z0))) -> c14(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(s(z0)), s(s(inc(z0)))), INC(s(s(z0)))) COUNT(empty, s(x1)) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), s(x1), s(inc(x1))), INC(s(x1))) COUNT(empty, s(x1)) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(empty, s(x1)) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(empty, s(x1)) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(empty, s(x1)) -> c14(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(x0, s(x1)) -> c14(INC(s(x1))) COUNT(empty, s(x1)) -> c14(INC(s(x1))) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), empty)), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), empty)), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), empty)), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x0, inc(x0)), INC(x0)) COUNT(empty, 0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), 0, s(0))) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), z1)), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), z1)), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x2, inc(x2)), INC(x2)) COUNT(node(x0, x1), 0) -> c14(IF(isEmpty(node(x0, x1)), isEmpty(left(node(x0, x1))), right(node(x0, x1)), node(left(left(node(x0, x1))), node(right(left(node(x0, x1))), x1)), 0, s(0))) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(empty, right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(empty), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(empty), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, 0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), 0, s(0))) COUNT(node(node(z0, z1), x1), x2) -> c14(IF(isEmpty(node(node(z0, z1), x1)), isEmpty(left(node(node(z0, z1), x1))), right(node(node(z0, z1), x1)), node(left(left(node(node(z0, z1), x1))), node(z1, right(node(node(z0, z1), x1)))), x2, inc(x2)), INC(x2)) COUNT(node(empty, x1), x2) -> c14(IF(isEmpty(node(empty, x1)), isEmpty(left(node(empty, x1))), right(node(empty, x1)), node(left(left(node(empty, x1))), node(empty, right(node(empty, x1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(z0), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(x0, x1), 0) -> c14(IF(isEmpty(node(x0, x1)), isEmpty(left(node(x0, x1))), right(node(x0, x1)), node(left(left(node(x0, x1))), node(right(x0), right(node(x0, x1)))), 0, s(0))) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(empty, node(right(left(empty)), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(empty), node(right(left(empty)), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, 0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), 0, s(0))) COUNT(node(node(z0, z1), x1), x2) -> c14(IF(isEmpty(node(node(z0, z1), x1)), isEmpty(left(node(node(z0, z1), x1))), right(node(node(z0, z1), x1)), node(z0, node(right(left(node(node(z0, z1), x1))), right(node(node(z0, z1), x1)))), x2, inc(x2)), INC(x2)) COUNT(node(empty, x1), x2) -> c14(IF(isEmpty(node(empty, x1)), isEmpty(left(node(empty, x1))), right(node(empty, x1)), node(empty, node(right(left(node(empty, x1))), right(node(empty, x1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(x0, x1), 0) -> c14(IF(isEmpty(node(x0, x1)), isEmpty(left(node(x0, x1))), right(node(x0, x1)), node(left(x0), node(right(left(node(x0, x1))), right(node(x0, x1)))), 0, s(0))) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(empty), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, 0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), 0, s(0))) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(z0), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(false, isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(x0, x1), 0) -> c14(IF(isEmpty(node(x0, x1)), isEmpty(left(node(x0, x1))), x1, node(left(left(node(x0, x1))), node(right(left(node(x0, x1))), right(node(x0, x1)))), 0, s(0))) COUNT(empty, x0) -> c14(IF(isEmpty(empty), true, right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, 0) -> c14(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), 0, s(0))) COUNT(node(node(z0, z1), x1), x2) -> c14(IF(isEmpty(node(node(z0, z1), x1)), false, right(node(node(z0, z1), x1)), node(left(left(node(node(z0, z1), x1))), node(right(left(node(node(z0, z1), x1))), right(node(node(z0, z1), x1)))), x2, inc(x2)), INC(x2)) COUNT(node(empty, x1), x2) -> c14(IF(isEmpty(node(empty, x1)), true, right(node(empty, x1)), node(left(left(node(empty, x1))), node(right(left(node(empty, x1))), right(node(empty, x1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(false, isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(x0, x1), 0) -> c14(IF(isEmpty(node(x0, x1)), isEmpty(x0), right(node(x0, x1)), node(left(left(node(x0, x1))), node(right(left(node(x0, x1))), right(node(x0, x1)))), 0, s(0))) COUNT(node(x0, x1), 0) -> c14(IF(false, isEmpty(left(node(x0, x1))), right(node(x0, x1)), node(left(left(node(x0, x1))), node(right(left(node(x0, x1))), right(node(x0, x1)))), 0, s(0))) COUNT(empty, 0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), 0, s(0))) COUNT(node(z0, z1), 0) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), 0, s(0))) COUNT(empty, 0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), 0, s(0))) COUNT(node(z0, z1), 0) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), 0, s(0))) COUNT(empty, 0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), 0, s(0))) COUNT(node(z0, z1), 0) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), 0, s(0))) COUNT(empty, 0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), 0, s(0))) COUNT(node(z0, z1), 0) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), 0, s(0))) COUNT(empty, 0) -> c8(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), 0, s(0))) COUNT(node(z0, z1), 0) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), 0, s(0))) COUNT(node(z0, z1), 0) -> c8(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), 0, s(0))) COUNT(x0, s(0)) -> c8(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(0), s(s(0)))) COUNT(x0, s(s(z0))) -> c8(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(s(z0)), s(s(inc(z0))))) COUNT(empty, s(x1)) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), s(x1), s(inc(x1)))) COUNT(node(z0, z1), s(x1)) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), s(x1), s(inc(x1)))) COUNT(empty, s(x1)) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), s(x1), s(inc(x1)))) COUNT(node(z0, z1), s(x1)) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), s(x1), s(inc(x1)))) COUNT(empty, s(x1)) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), s(x1), s(inc(x1)))) COUNT(node(z0, z1), s(x1)) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1)))) COUNT(empty, s(x1)) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), s(x1), s(inc(x1)))) COUNT(node(z0, z1), s(x1)) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1)))) COUNT(empty, s(x1)) -> c8(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), s(x1), s(inc(x1)))) COUNT(node(z0, z1), s(x1)) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1)))) COUNT(node(z0, z1), s(x1)) -> c8(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1)))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), empty)), x0, inc(x0))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), empty)), x0, inc(x0))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), empty)), x0, inc(x0))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x0, inc(x0))) COUNT(node(z0, z1), x2) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), z1)), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), z1)), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c8(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x2, inc(x2))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(empty, right(empty))), x0, inc(x0))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(empty), right(empty))), x0, inc(x0))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(empty), right(empty))), x0, inc(x0))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x0, inc(x0))) COUNT(node(node(z0, z1), x1), x2) -> c8(IF(isEmpty(node(node(z0, z1), x1)), isEmpty(left(node(node(z0, z1), x1))), right(node(node(z0, z1), x1)), node(left(left(node(node(z0, z1), x1))), node(z1, right(node(node(z0, z1), x1)))), x2, inc(x2))) COUNT(node(empty, x1), x2) -> c8(IF(isEmpty(node(empty, x1)), isEmpty(left(node(empty, x1))), right(node(empty, x1)), node(left(left(node(empty, x1))), node(empty, right(node(empty, x1)))), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(z0), right(node(z0, z1)))), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c8(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x2, inc(x2))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(empty, node(right(left(empty)), right(empty))), x0, inc(x0))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(empty), node(right(left(empty)), right(empty))), x0, inc(x0))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x0, inc(x0))) COUNT(node(node(z0, z1), x1), x2) -> c8(IF(isEmpty(node(node(z0, z1), x1)), isEmpty(left(node(node(z0, z1), x1))), right(node(node(z0, z1), x1)), node(z0, node(right(left(node(node(z0, z1), x1))), right(node(node(z0, z1), x1)))), x2, inc(x2))) COUNT(node(empty, x1), x2) -> c8(IF(isEmpty(node(empty, x1)), isEmpty(left(node(empty, x1))), right(node(empty, x1)), node(empty, node(right(left(node(empty, x1))), right(node(empty, x1)))), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c8(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), isEmpty(empty), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x0, inc(x0))) COUNT(node(z0, z1), x2) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(z0), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c8(IF(false, isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), true, right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x0, inc(x0))) COUNT(node(node(z0, z1), x1), x2) -> c8(IF(isEmpty(node(node(z0, z1), x1)), false, right(node(node(z0, z1), x1)), node(left(left(node(node(z0, z1), x1))), node(right(left(node(node(z0, z1), x1))), right(node(node(z0, z1), x1)))), x2, inc(x2))) COUNT(node(empty, x1), x2) -> c8(IF(isEmpty(node(empty, x1)), true, right(node(empty, x1)), node(left(left(node(empty, x1))), node(right(left(node(empty, x1))), right(node(empty, x1)))), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c8(IF(false, isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2))) COUNT(empty, 0) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), 0, s(0))) COUNT(node(z0, z1), 0) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), 0, s(0))) COUNT(empty, 0) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), 0, s(0))) COUNT(node(z0, z1), 0) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), 0, s(0))) COUNT(empty, 0) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), 0, s(0))) COUNT(node(z0, z1), 0) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), 0, s(0))) COUNT(empty, 0) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), 0, s(0))) COUNT(node(z0, z1), 0) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), 0, s(0))) COUNT(empty, 0) -> c9(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), 0, s(0))) COUNT(node(z0, z1), 0) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), 0, s(0))) COUNT(node(z0, z1), 0) -> c9(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), 0, s(0))) COUNT(x0, s(0)) -> c9(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(0), s(s(0)))) COUNT(x0, s(s(z0))) -> c9(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(s(z0)), s(s(inc(z0))))) COUNT(empty, s(x1)) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), s(x1), s(inc(x1)))) COUNT(node(z0, z1), s(x1)) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), s(x1), s(inc(x1)))) COUNT(empty, s(x1)) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), s(x1), s(inc(x1)))) COUNT(node(z0, z1), s(x1)) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), s(x1), s(inc(x1)))) COUNT(empty, s(x1)) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), s(x1), s(inc(x1)))) COUNT(node(z0, z1), s(x1)) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1)))) COUNT(empty, s(x1)) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), s(x1), s(inc(x1)))) COUNT(node(z0, z1), s(x1)) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1)))) COUNT(empty, s(x1)) -> c9(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), s(x1), s(inc(x1)))) COUNT(node(z0, z1), s(x1)) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1)))) COUNT(node(z0, z1), s(x1)) -> c9(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1)))) S tuples: INC(s(z0)) -> c7(INC(z0)) IF(false, false, z0, z1, z2, z3) -> c16(COUNT(z1, z2)) IF(false, true, z0, z1, z2, z3) -> c17(COUNT(z0, z3)) COUNT(empty, x1) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1))) COUNT(empty, x1) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c9(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c9(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, 0) -> c10(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(x0, s(z0)) -> c10(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0)))) COUNT(empty, x1) -> c10(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1))) COUNT(empty, x1) -> c10(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c10(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c10(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c10(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, 0) -> c11(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(x0, s(z0)) -> c11(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0)))) COUNT(empty, x1) -> c11(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1))) COUNT(empty, x1) -> c11(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c11(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c11(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c11(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, 0) -> c12(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(x0, s(z0)) -> c12(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0)))) COUNT(empty, x1) -> c12(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1))) COUNT(empty, x1) -> c12(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c12(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c12(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c12(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, 0) -> c13(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(x0, s(z0)) -> c13(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0)))) COUNT(empty, x1) -> c13(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1))) COUNT(empty, x1) -> c13(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c13(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c13(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c13(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, s(0)) -> c14(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(0), s(s(0))), INC(s(0))) COUNT(x0, s(s(z0))) -> c14(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(s(z0)), s(s(inc(z0)))), INC(s(s(z0)))) COUNT(empty, s(x1)) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), s(x1), s(inc(x1))), INC(s(x1))) COUNT(empty, s(x1)) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(empty, s(x1)) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(empty, s(x1)) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(empty, s(x1)) -> c14(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), empty)), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), empty)), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), empty)), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x0, inc(x0)), INC(x0)) COUNT(empty, 0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), 0, s(0))) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), z1)), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), z1)), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x2, inc(x2)), INC(x2)) COUNT(node(x0, x1), 0) -> c14(IF(isEmpty(node(x0, x1)), isEmpty(left(node(x0, x1))), right(node(x0, x1)), node(left(left(node(x0, x1))), node(right(left(node(x0, x1))), x1)), 0, s(0))) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(empty, right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(empty), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(empty), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, 0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), 0, s(0))) COUNT(node(node(z0, z1), x1), x2) -> c14(IF(isEmpty(node(node(z0, z1), x1)), isEmpty(left(node(node(z0, z1), x1))), right(node(node(z0, z1), x1)), node(left(left(node(node(z0, z1), x1))), node(z1, right(node(node(z0, z1), x1)))), x2, inc(x2)), INC(x2)) COUNT(node(empty, x1), x2) -> c14(IF(isEmpty(node(empty, x1)), isEmpty(left(node(empty, x1))), right(node(empty, x1)), node(left(left(node(empty, x1))), node(empty, right(node(empty, x1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(z0), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(x0, x1), 0) -> c14(IF(isEmpty(node(x0, x1)), isEmpty(left(node(x0, x1))), right(node(x0, x1)), node(left(left(node(x0, x1))), node(right(x0), right(node(x0, x1)))), 0, s(0))) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(empty, node(right(left(empty)), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(empty), node(right(left(empty)), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, 0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), 0, s(0))) COUNT(node(node(z0, z1), x1), x2) -> c14(IF(isEmpty(node(node(z0, z1), x1)), isEmpty(left(node(node(z0, z1), x1))), right(node(node(z0, z1), x1)), node(z0, node(right(left(node(node(z0, z1), x1))), right(node(node(z0, z1), x1)))), x2, inc(x2)), INC(x2)) COUNT(node(empty, x1), x2) -> c14(IF(isEmpty(node(empty, x1)), isEmpty(left(node(empty, x1))), right(node(empty, x1)), node(empty, node(right(left(node(empty, x1))), right(node(empty, x1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(x0, x1), 0) -> c14(IF(isEmpty(node(x0, x1)), isEmpty(left(node(x0, x1))), right(node(x0, x1)), node(left(x0), node(right(left(node(x0, x1))), right(node(x0, x1)))), 0, s(0))) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(empty), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, 0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), 0, s(0))) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(z0), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(false, isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(x0, x1), 0) -> c14(IF(isEmpty(node(x0, x1)), isEmpty(left(node(x0, x1))), x1, node(left(left(node(x0, x1))), node(right(left(node(x0, x1))), right(node(x0, x1)))), 0, s(0))) COUNT(empty, x0) -> c14(IF(isEmpty(empty), true, right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, 0) -> c14(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), 0, s(0))) COUNT(node(node(z0, z1), x1), x2) -> c14(IF(isEmpty(node(node(z0, z1), x1)), false, right(node(node(z0, z1), x1)), node(left(left(node(node(z0, z1), x1))), node(right(left(node(node(z0, z1), x1))), right(node(node(z0, z1), x1)))), x2, inc(x2)), INC(x2)) COUNT(node(empty, x1), x2) -> c14(IF(isEmpty(node(empty, x1)), true, right(node(empty, x1)), node(left(left(node(empty, x1))), node(right(left(node(empty, x1))), right(node(empty, x1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(false, isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(x0, x1), 0) -> c14(IF(isEmpty(node(x0, x1)), isEmpty(x0), right(node(x0, x1)), node(left(left(node(x0, x1))), node(right(left(node(x0, x1))), right(node(x0, x1)))), 0, s(0))) COUNT(node(x0, x1), 0) -> c14(IF(false, isEmpty(left(node(x0, x1))), right(node(x0, x1)), node(left(left(node(x0, x1))), node(right(left(node(x0, x1))), right(node(x0, x1)))), 0, s(0))) COUNT(empty, 0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), 0, s(0))) COUNT(node(z0, z1), 0) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), 0, s(0))) COUNT(empty, 0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), 0, s(0))) COUNT(node(z0, z1), 0) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), 0, s(0))) COUNT(empty, 0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), 0, s(0))) COUNT(node(z0, z1), 0) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), 0, s(0))) COUNT(empty, 0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), 0, s(0))) COUNT(node(z0, z1), 0) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), 0, s(0))) COUNT(empty, 0) -> c8(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), 0, s(0))) COUNT(node(z0, z1), 0) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), 0, s(0))) COUNT(node(z0, z1), 0) -> c8(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), 0, s(0))) COUNT(x0, s(0)) -> c8(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(0), s(s(0)))) COUNT(x0, s(s(z0))) -> c8(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(s(z0)), s(s(inc(z0))))) COUNT(empty, s(x1)) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), s(x1), s(inc(x1)))) COUNT(node(z0, z1), s(x1)) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), s(x1), s(inc(x1)))) COUNT(empty, s(x1)) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), s(x1), s(inc(x1)))) COUNT(node(z0, z1), s(x1)) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), s(x1), s(inc(x1)))) COUNT(empty, s(x1)) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), s(x1), s(inc(x1)))) COUNT(node(z0, z1), s(x1)) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1)))) COUNT(empty, s(x1)) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), s(x1), s(inc(x1)))) COUNT(node(z0, z1), s(x1)) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1)))) COUNT(empty, s(x1)) -> c8(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), s(x1), s(inc(x1)))) COUNT(node(z0, z1), s(x1)) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1)))) COUNT(node(z0, z1), s(x1)) -> c8(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1)))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), empty)), x0, inc(x0))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), empty)), x0, inc(x0))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), empty)), x0, inc(x0))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x0, inc(x0))) COUNT(node(z0, z1), x2) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), z1)), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), z1)), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c8(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x2, inc(x2))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(empty, right(empty))), x0, inc(x0))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(empty), right(empty))), x0, inc(x0))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(empty), right(empty))), x0, inc(x0))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x0, inc(x0))) COUNT(node(node(z0, z1), x1), x2) -> c8(IF(isEmpty(node(node(z0, z1), x1)), isEmpty(left(node(node(z0, z1), x1))), right(node(node(z0, z1), x1)), node(left(left(node(node(z0, z1), x1))), node(z1, right(node(node(z0, z1), x1)))), x2, inc(x2))) COUNT(node(empty, x1), x2) -> c8(IF(isEmpty(node(empty, x1)), isEmpty(left(node(empty, x1))), right(node(empty, x1)), node(left(left(node(empty, x1))), node(empty, right(node(empty, x1)))), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(z0), right(node(z0, z1)))), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c8(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x2, inc(x2))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(empty, node(right(left(empty)), right(empty))), x0, inc(x0))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(empty), node(right(left(empty)), right(empty))), x0, inc(x0))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x0, inc(x0))) COUNT(node(node(z0, z1), x1), x2) -> c8(IF(isEmpty(node(node(z0, z1), x1)), isEmpty(left(node(node(z0, z1), x1))), right(node(node(z0, z1), x1)), node(z0, node(right(left(node(node(z0, z1), x1))), right(node(node(z0, z1), x1)))), x2, inc(x2))) COUNT(node(empty, x1), x2) -> c8(IF(isEmpty(node(empty, x1)), isEmpty(left(node(empty, x1))), right(node(empty, x1)), node(empty, node(right(left(node(empty, x1))), right(node(empty, x1)))), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c8(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), isEmpty(empty), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x0, inc(x0))) COUNT(node(z0, z1), x2) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(z0), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c8(IF(false, isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), true, right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x0, inc(x0))) COUNT(node(node(z0, z1), x1), x2) -> c8(IF(isEmpty(node(node(z0, z1), x1)), false, right(node(node(z0, z1), x1)), node(left(left(node(node(z0, z1), x1))), node(right(left(node(node(z0, z1), x1))), right(node(node(z0, z1), x1)))), x2, inc(x2))) COUNT(node(empty, x1), x2) -> c8(IF(isEmpty(node(empty, x1)), true, right(node(empty, x1)), node(left(left(node(empty, x1))), node(right(left(node(empty, x1))), right(node(empty, x1)))), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c8(IF(false, isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2))) COUNT(empty, 0) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), 0, s(0))) COUNT(node(z0, z1), 0) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), 0, s(0))) COUNT(empty, 0) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), 0, s(0))) COUNT(node(z0, z1), 0) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), 0, s(0))) COUNT(empty, 0) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), 0, s(0))) COUNT(node(z0, z1), 0) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), 0, s(0))) COUNT(empty, 0) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), 0, s(0))) COUNT(node(z0, z1), 0) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), 0, s(0))) COUNT(empty, 0) -> c9(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), 0, s(0))) COUNT(node(z0, z1), 0) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), 0, s(0))) COUNT(node(z0, z1), 0) -> c9(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), 0, s(0))) COUNT(x0, s(0)) -> c9(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(0), s(s(0)))) COUNT(x0, s(s(z0))) -> c9(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(s(z0)), s(s(inc(z0))))) COUNT(empty, s(x1)) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), s(x1), s(inc(x1)))) COUNT(node(z0, z1), s(x1)) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), s(x1), s(inc(x1)))) COUNT(empty, s(x1)) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), s(x1), s(inc(x1)))) COUNT(node(z0, z1), s(x1)) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), s(x1), s(inc(x1)))) COUNT(empty, s(x1)) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), s(x1), s(inc(x1)))) COUNT(node(z0, z1), s(x1)) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1)))) COUNT(empty, s(x1)) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), s(x1), s(inc(x1)))) COUNT(node(z0, z1), s(x1)) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1)))) COUNT(empty, s(x1)) -> c9(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), s(x1), s(inc(x1)))) COUNT(node(z0, z1), s(x1)) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1)))) COUNT(node(z0, z1), s(x1)) -> c9(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1)))) K tuples: COUNT(empty, x1) -> c14(INC(x1)) COUNT(x0, s(x1)) -> c14(INC(s(x1))) COUNT(empty, s(x1)) -> c14(INC(s(x1))) Defined Rule Symbols: isEmpty_1, left_1, right_1, inc_1 Defined Pair Symbols: INC_1, IF_6, COUNT_2 Compound Symbols: c7_1, c16_1, c17_1, c14_1, c9_1, c10_1, c11_1, c12_1, c13_1, c14_2, c8_1 ---------------------------------------- (205) CdtNarrowingProof (BOTH BOUNDS(ID, ID)) Use narrowing to replace COUNT(empty, x1) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1))) by COUNT(empty, 0) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), 0, s(0))) COUNT(empty, s(z0)) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), s(z0), s(inc(z0)))) COUNT(empty, x0) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), empty)), x0, inc(x0))) COUNT(empty, x0) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), empty)), x0, inc(x0))) COUNT(empty, x0) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), empty)), x0, inc(x0))) COUNT(empty, x0) -> c9(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x0, inc(x0))) COUNT(empty, x0) -> c9(IF(true, isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x0, inc(x0))) ---------------------------------------- (206) Obligation: Complexity Dependency Tuples Problem Rules: isEmpty(empty) -> true isEmpty(node(z0, z1)) -> false left(empty) -> empty left(node(z0, z1)) -> z0 right(empty) -> empty right(node(z0, z1)) -> z1 inc(0) -> s(0) inc(s(z0)) -> s(inc(z0)) Tuples: INC(s(z0)) -> c7(INC(z0)) IF(false, false, z0, z1, z2, z3) -> c16(COUNT(z1, z2)) IF(false, true, z0, z1, z2, z3) -> c17(COUNT(z0, z3)) COUNT(empty, x1) -> c14(INC(x1)) COUNT(node(z0, z1), x1) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1))) COUNT(empty, x1) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c9(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c9(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, 0) -> c10(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(x0, s(z0)) -> c10(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0)))) COUNT(empty, x1) -> c10(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1))) COUNT(empty, x1) -> c10(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c10(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c10(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c10(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, 0) -> c11(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(x0, s(z0)) -> c11(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0)))) COUNT(empty, x1) -> c11(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1))) COUNT(empty, x1) -> c11(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c11(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c11(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c11(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, 0) -> c12(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(x0, s(z0)) -> c12(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0)))) COUNT(empty, x1) -> c12(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1))) COUNT(empty, x1) -> c12(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c12(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c12(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c12(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, 0) -> c13(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(x0, s(z0)) -> c13(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0)))) COUNT(empty, x1) -> c13(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1))) COUNT(empty, x1) -> c13(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c13(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c13(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c13(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, s(0)) -> c14(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(0), s(s(0))), INC(s(0))) COUNT(x0, s(s(z0))) -> c14(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(s(z0)), s(s(inc(z0)))), INC(s(s(z0)))) COUNT(empty, s(x1)) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), s(x1), s(inc(x1))), INC(s(x1))) COUNT(empty, s(x1)) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(empty, s(x1)) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(empty, s(x1)) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(empty, s(x1)) -> c14(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(x0, s(x1)) -> c14(INC(s(x1))) COUNT(empty, s(x1)) -> c14(INC(s(x1))) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), empty)), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), empty)), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), empty)), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x0, inc(x0)), INC(x0)) COUNT(empty, 0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), 0, s(0))) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), z1)), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), z1)), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x2, inc(x2)), INC(x2)) COUNT(node(x0, x1), 0) -> c14(IF(isEmpty(node(x0, x1)), isEmpty(left(node(x0, x1))), right(node(x0, x1)), node(left(left(node(x0, x1))), node(right(left(node(x0, x1))), x1)), 0, s(0))) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(empty, right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(empty), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(empty), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, 0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), 0, s(0))) COUNT(node(node(z0, z1), x1), x2) -> c14(IF(isEmpty(node(node(z0, z1), x1)), isEmpty(left(node(node(z0, z1), x1))), right(node(node(z0, z1), x1)), node(left(left(node(node(z0, z1), x1))), node(z1, right(node(node(z0, z1), x1)))), x2, inc(x2)), INC(x2)) COUNT(node(empty, x1), x2) -> c14(IF(isEmpty(node(empty, x1)), isEmpty(left(node(empty, x1))), right(node(empty, x1)), node(left(left(node(empty, x1))), node(empty, right(node(empty, x1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(z0), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(x0, x1), 0) -> c14(IF(isEmpty(node(x0, x1)), isEmpty(left(node(x0, x1))), right(node(x0, x1)), node(left(left(node(x0, x1))), node(right(x0), right(node(x0, x1)))), 0, s(0))) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(empty, node(right(left(empty)), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(empty), node(right(left(empty)), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, 0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), 0, s(0))) COUNT(node(node(z0, z1), x1), x2) -> c14(IF(isEmpty(node(node(z0, z1), x1)), isEmpty(left(node(node(z0, z1), x1))), right(node(node(z0, z1), x1)), node(z0, node(right(left(node(node(z0, z1), x1))), right(node(node(z0, z1), x1)))), x2, inc(x2)), INC(x2)) COUNT(node(empty, x1), x2) -> c14(IF(isEmpty(node(empty, x1)), isEmpty(left(node(empty, x1))), right(node(empty, x1)), node(empty, node(right(left(node(empty, x1))), right(node(empty, x1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(x0, x1), 0) -> c14(IF(isEmpty(node(x0, x1)), isEmpty(left(node(x0, x1))), right(node(x0, x1)), node(left(x0), node(right(left(node(x0, x1))), right(node(x0, x1)))), 0, s(0))) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(empty), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, 0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), 0, s(0))) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(z0), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(false, isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(x0, x1), 0) -> c14(IF(isEmpty(node(x0, x1)), isEmpty(left(node(x0, x1))), x1, node(left(left(node(x0, x1))), node(right(left(node(x0, x1))), right(node(x0, x1)))), 0, s(0))) COUNT(empty, x0) -> c14(IF(isEmpty(empty), true, right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, 0) -> c14(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), 0, s(0))) COUNT(node(node(z0, z1), x1), x2) -> c14(IF(isEmpty(node(node(z0, z1), x1)), false, right(node(node(z0, z1), x1)), node(left(left(node(node(z0, z1), x1))), node(right(left(node(node(z0, z1), x1))), right(node(node(z0, z1), x1)))), x2, inc(x2)), INC(x2)) COUNT(node(empty, x1), x2) -> c14(IF(isEmpty(node(empty, x1)), true, right(node(empty, x1)), node(left(left(node(empty, x1))), node(right(left(node(empty, x1))), right(node(empty, x1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(false, isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(x0, x1), 0) -> c14(IF(isEmpty(node(x0, x1)), isEmpty(x0), right(node(x0, x1)), node(left(left(node(x0, x1))), node(right(left(node(x0, x1))), right(node(x0, x1)))), 0, s(0))) COUNT(node(x0, x1), 0) -> c14(IF(false, isEmpty(left(node(x0, x1))), right(node(x0, x1)), node(left(left(node(x0, x1))), node(right(left(node(x0, x1))), right(node(x0, x1)))), 0, s(0))) COUNT(empty, 0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), 0, s(0))) COUNT(node(z0, z1), 0) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), 0, s(0))) COUNT(empty, 0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), 0, s(0))) COUNT(node(z0, z1), 0) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), 0, s(0))) COUNT(empty, 0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), 0, s(0))) COUNT(node(z0, z1), 0) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), 0, s(0))) COUNT(empty, 0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), 0, s(0))) COUNT(node(z0, z1), 0) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), 0, s(0))) COUNT(empty, 0) -> c8(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), 0, s(0))) COUNT(node(z0, z1), 0) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), 0, s(0))) COUNT(node(z0, z1), 0) -> c8(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), 0, s(0))) COUNT(x0, s(0)) -> c8(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(0), s(s(0)))) COUNT(x0, s(s(z0))) -> c8(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(s(z0)), s(s(inc(z0))))) COUNT(empty, s(x1)) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), s(x1), s(inc(x1)))) COUNT(node(z0, z1), s(x1)) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), s(x1), s(inc(x1)))) COUNT(empty, s(x1)) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), s(x1), s(inc(x1)))) COUNT(node(z0, z1), s(x1)) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), s(x1), s(inc(x1)))) COUNT(empty, s(x1)) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), s(x1), s(inc(x1)))) COUNT(node(z0, z1), s(x1)) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1)))) COUNT(empty, s(x1)) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), s(x1), s(inc(x1)))) COUNT(node(z0, z1), s(x1)) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1)))) COUNT(empty, s(x1)) -> c8(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), s(x1), s(inc(x1)))) COUNT(node(z0, z1), s(x1)) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1)))) COUNT(node(z0, z1), s(x1)) -> c8(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1)))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), empty)), x0, inc(x0))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), empty)), x0, inc(x0))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), empty)), x0, inc(x0))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x0, inc(x0))) COUNT(node(z0, z1), x2) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), z1)), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), z1)), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c8(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x2, inc(x2))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(empty, right(empty))), x0, inc(x0))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(empty), right(empty))), x0, inc(x0))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(empty), right(empty))), x0, inc(x0))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x0, inc(x0))) COUNT(node(node(z0, z1), x1), x2) -> c8(IF(isEmpty(node(node(z0, z1), x1)), isEmpty(left(node(node(z0, z1), x1))), right(node(node(z0, z1), x1)), node(left(left(node(node(z0, z1), x1))), node(z1, right(node(node(z0, z1), x1)))), x2, inc(x2))) COUNT(node(empty, x1), x2) -> c8(IF(isEmpty(node(empty, x1)), isEmpty(left(node(empty, x1))), right(node(empty, x1)), node(left(left(node(empty, x1))), node(empty, right(node(empty, x1)))), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(z0), right(node(z0, z1)))), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c8(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x2, inc(x2))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(empty, node(right(left(empty)), right(empty))), x0, inc(x0))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(empty), node(right(left(empty)), right(empty))), x0, inc(x0))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x0, inc(x0))) COUNT(node(node(z0, z1), x1), x2) -> c8(IF(isEmpty(node(node(z0, z1), x1)), isEmpty(left(node(node(z0, z1), x1))), right(node(node(z0, z1), x1)), node(z0, node(right(left(node(node(z0, z1), x1))), right(node(node(z0, z1), x1)))), x2, inc(x2))) COUNT(node(empty, x1), x2) -> c8(IF(isEmpty(node(empty, x1)), isEmpty(left(node(empty, x1))), right(node(empty, x1)), node(empty, node(right(left(node(empty, x1))), right(node(empty, x1)))), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c8(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), isEmpty(empty), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x0, inc(x0))) COUNT(node(z0, z1), x2) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(z0), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c8(IF(false, isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), true, right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x0, inc(x0))) COUNT(node(node(z0, z1), x1), x2) -> c8(IF(isEmpty(node(node(z0, z1), x1)), false, right(node(node(z0, z1), x1)), node(left(left(node(node(z0, z1), x1))), node(right(left(node(node(z0, z1), x1))), right(node(node(z0, z1), x1)))), x2, inc(x2))) COUNT(node(empty, x1), x2) -> c8(IF(isEmpty(node(empty, x1)), true, right(node(empty, x1)), node(left(left(node(empty, x1))), node(right(left(node(empty, x1))), right(node(empty, x1)))), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c8(IF(false, isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2))) COUNT(empty, 0) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), 0, s(0))) COUNT(node(z0, z1), 0) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), 0, s(0))) COUNT(empty, 0) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), 0, s(0))) COUNT(node(z0, z1), 0) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), 0, s(0))) COUNT(empty, 0) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), 0, s(0))) COUNT(node(z0, z1), 0) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), 0, s(0))) COUNT(empty, 0) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), 0, s(0))) COUNT(node(z0, z1), 0) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), 0, s(0))) COUNT(empty, 0) -> c9(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), 0, s(0))) COUNT(node(z0, z1), 0) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), 0, s(0))) COUNT(node(z0, z1), 0) -> c9(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), 0, s(0))) COUNT(x0, s(0)) -> c9(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(0), s(s(0)))) COUNT(x0, s(s(z0))) -> c9(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(s(z0)), s(s(inc(z0))))) COUNT(empty, s(x1)) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), s(x1), s(inc(x1)))) COUNT(node(z0, z1), s(x1)) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), s(x1), s(inc(x1)))) COUNT(empty, s(x1)) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), s(x1), s(inc(x1)))) COUNT(node(z0, z1), s(x1)) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), s(x1), s(inc(x1)))) COUNT(empty, s(x1)) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), s(x1), s(inc(x1)))) COUNT(node(z0, z1), s(x1)) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1)))) COUNT(empty, s(x1)) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), s(x1), s(inc(x1)))) COUNT(node(z0, z1), s(x1)) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1)))) COUNT(empty, s(x1)) -> c9(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), s(x1), s(inc(x1)))) COUNT(node(z0, z1), s(x1)) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1)))) COUNT(node(z0, z1), s(x1)) -> c9(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1)))) COUNT(empty, x0) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), empty)), x0, inc(x0))) COUNT(empty, x0) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), empty)), x0, inc(x0))) COUNT(empty, x0) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), empty)), x0, inc(x0))) COUNT(empty, x0) -> c9(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x0, inc(x0))) COUNT(empty, x0) -> c9(IF(true, isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x0, inc(x0))) S tuples: INC(s(z0)) -> c7(INC(z0)) IF(false, false, z0, z1, z2, z3) -> c16(COUNT(z1, z2)) IF(false, true, z0, z1, z2, z3) -> c17(COUNT(z0, z3)) COUNT(node(z0, z1), x1) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1))) COUNT(empty, x1) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c9(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c9(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, 0) -> c10(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(x0, s(z0)) -> c10(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0)))) COUNT(empty, x1) -> c10(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1))) COUNT(empty, x1) -> c10(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c10(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c10(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c10(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, 0) -> c11(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(x0, s(z0)) -> c11(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0)))) COUNT(empty, x1) -> c11(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1))) COUNT(empty, x1) -> c11(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c11(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c11(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c11(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, 0) -> c12(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(x0, s(z0)) -> c12(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0)))) COUNT(empty, x1) -> c12(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1))) COUNT(empty, x1) -> c12(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c12(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c12(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c12(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, 0) -> c13(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(x0, s(z0)) -> c13(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0)))) COUNT(empty, x1) -> c13(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1))) COUNT(empty, x1) -> c13(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c13(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c13(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c13(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, s(0)) -> c14(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(0), s(s(0))), INC(s(0))) COUNT(x0, s(s(z0))) -> c14(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(s(z0)), s(s(inc(z0)))), INC(s(s(z0)))) COUNT(empty, s(x1)) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), s(x1), s(inc(x1))), INC(s(x1))) COUNT(empty, s(x1)) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(empty, s(x1)) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(empty, s(x1)) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(empty, s(x1)) -> c14(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), empty)), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), empty)), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), empty)), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x0, inc(x0)), INC(x0)) COUNT(empty, 0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), 0, s(0))) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), z1)), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), z1)), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x2, inc(x2)), INC(x2)) COUNT(node(x0, x1), 0) -> c14(IF(isEmpty(node(x0, x1)), isEmpty(left(node(x0, x1))), right(node(x0, x1)), node(left(left(node(x0, x1))), node(right(left(node(x0, x1))), x1)), 0, s(0))) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(empty, right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(empty), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(empty), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, 0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), 0, s(0))) COUNT(node(node(z0, z1), x1), x2) -> c14(IF(isEmpty(node(node(z0, z1), x1)), isEmpty(left(node(node(z0, z1), x1))), right(node(node(z0, z1), x1)), node(left(left(node(node(z0, z1), x1))), node(z1, right(node(node(z0, z1), x1)))), x2, inc(x2)), INC(x2)) COUNT(node(empty, x1), x2) -> c14(IF(isEmpty(node(empty, x1)), isEmpty(left(node(empty, x1))), right(node(empty, x1)), node(left(left(node(empty, x1))), node(empty, right(node(empty, x1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(z0), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(x0, x1), 0) -> c14(IF(isEmpty(node(x0, x1)), isEmpty(left(node(x0, x1))), right(node(x0, x1)), node(left(left(node(x0, x1))), node(right(x0), right(node(x0, x1)))), 0, s(0))) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(empty, node(right(left(empty)), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(empty), node(right(left(empty)), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, 0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), 0, s(0))) COUNT(node(node(z0, z1), x1), x2) -> c14(IF(isEmpty(node(node(z0, z1), x1)), isEmpty(left(node(node(z0, z1), x1))), right(node(node(z0, z1), x1)), node(z0, node(right(left(node(node(z0, z1), x1))), right(node(node(z0, z1), x1)))), x2, inc(x2)), INC(x2)) COUNT(node(empty, x1), x2) -> c14(IF(isEmpty(node(empty, x1)), isEmpty(left(node(empty, x1))), right(node(empty, x1)), node(empty, node(right(left(node(empty, x1))), right(node(empty, x1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(x0, x1), 0) -> c14(IF(isEmpty(node(x0, x1)), isEmpty(left(node(x0, x1))), right(node(x0, x1)), node(left(x0), node(right(left(node(x0, x1))), right(node(x0, x1)))), 0, s(0))) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(empty), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, 0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), 0, s(0))) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(z0), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(false, isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(x0, x1), 0) -> c14(IF(isEmpty(node(x0, x1)), isEmpty(left(node(x0, x1))), x1, node(left(left(node(x0, x1))), node(right(left(node(x0, x1))), right(node(x0, x1)))), 0, s(0))) COUNT(empty, x0) -> c14(IF(isEmpty(empty), true, right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, 0) -> c14(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), 0, s(0))) COUNT(node(node(z0, z1), x1), x2) -> c14(IF(isEmpty(node(node(z0, z1), x1)), false, right(node(node(z0, z1), x1)), node(left(left(node(node(z0, z1), x1))), node(right(left(node(node(z0, z1), x1))), right(node(node(z0, z1), x1)))), x2, inc(x2)), INC(x2)) COUNT(node(empty, x1), x2) -> c14(IF(isEmpty(node(empty, x1)), true, right(node(empty, x1)), node(left(left(node(empty, x1))), node(right(left(node(empty, x1))), right(node(empty, x1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(false, isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(x0, x1), 0) -> c14(IF(isEmpty(node(x0, x1)), isEmpty(x0), right(node(x0, x1)), node(left(left(node(x0, x1))), node(right(left(node(x0, x1))), right(node(x0, x1)))), 0, s(0))) COUNT(node(x0, x1), 0) -> c14(IF(false, isEmpty(left(node(x0, x1))), right(node(x0, x1)), node(left(left(node(x0, x1))), node(right(left(node(x0, x1))), right(node(x0, x1)))), 0, s(0))) COUNT(empty, 0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), 0, s(0))) COUNT(node(z0, z1), 0) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), 0, s(0))) COUNT(empty, 0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), 0, s(0))) COUNT(node(z0, z1), 0) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), 0, s(0))) COUNT(empty, 0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), 0, s(0))) COUNT(node(z0, z1), 0) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), 0, s(0))) COUNT(empty, 0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), 0, s(0))) COUNT(node(z0, z1), 0) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), 0, s(0))) COUNT(empty, 0) -> c8(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), 0, s(0))) COUNT(node(z0, z1), 0) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), 0, s(0))) COUNT(node(z0, z1), 0) -> c8(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), 0, s(0))) COUNT(x0, s(0)) -> c8(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(0), s(s(0)))) COUNT(x0, s(s(z0))) -> c8(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(s(z0)), s(s(inc(z0))))) COUNT(empty, s(x1)) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), s(x1), s(inc(x1)))) COUNT(node(z0, z1), s(x1)) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), s(x1), s(inc(x1)))) COUNT(empty, s(x1)) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), s(x1), s(inc(x1)))) COUNT(node(z0, z1), s(x1)) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), s(x1), s(inc(x1)))) COUNT(empty, s(x1)) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), s(x1), s(inc(x1)))) COUNT(node(z0, z1), s(x1)) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1)))) COUNT(empty, s(x1)) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), s(x1), s(inc(x1)))) COUNT(node(z0, z1), s(x1)) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1)))) COUNT(empty, s(x1)) -> c8(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), s(x1), s(inc(x1)))) COUNT(node(z0, z1), s(x1)) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1)))) COUNT(node(z0, z1), s(x1)) -> c8(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1)))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), empty)), x0, inc(x0))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), empty)), x0, inc(x0))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), empty)), x0, inc(x0))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x0, inc(x0))) COUNT(node(z0, z1), x2) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), z1)), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), z1)), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c8(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x2, inc(x2))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(empty, right(empty))), x0, inc(x0))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(empty), right(empty))), x0, inc(x0))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(empty), right(empty))), x0, inc(x0))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x0, inc(x0))) COUNT(node(node(z0, z1), x1), x2) -> c8(IF(isEmpty(node(node(z0, z1), x1)), isEmpty(left(node(node(z0, z1), x1))), right(node(node(z0, z1), x1)), node(left(left(node(node(z0, z1), x1))), node(z1, right(node(node(z0, z1), x1)))), x2, inc(x2))) COUNT(node(empty, x1), x2) -> c8(IF(isEmpty(node(empty, x1)), isEmpty(left(node(empty, x1))), right(node(empty, x1)), node(left(left(node(empty, x1))), node(empty, right(node(empty, x1)))), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(z0), right(node(z0, z1)))), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c8(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x2, inc(x2))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(empty, node(right(left(empty)), right(empty))), x0, inc(x0))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(empty), node(right(left(empty)), right(empty))), x0, inc(x0))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x0, inc(x0))) COUNT(node(node(z0, z1), x1), x2) -> c8(IF(isEmpty(node(node(z0, z1), x1)), isEmpty(left(node(node(z0, z1), x1))), right(node(node(z0, z1), x1)), node(z0, node(right(left(node(node(z0, z1), x1))), right(node(node(z0, z1), x1)))), x2, inc(x2))) COUNT(node(empty, x1), x2) -> c8(IF(isEmpty(node(empty, x1)), isEmpty(left(node(empty, x1))), right(node(empty, x1)), node(empty, node(right(left(node(empty, x1))), right(node(empty, x1)))), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c8(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), isEmpty(empty), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x0, inc(x0))) COUNT(node(z0, z1), x2) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(z0), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c8(IF(false, isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), true, right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x0, inc(x0))) COUNT(node(node(z0, z1), x1), x2) -> c8(IF(isEmpty(node(node(z0, z1), x1)), false, right(node(node(z0, z1), x1)), node(left(left(node(node(z0, z1), x1))), node(right(left(node(node(z0, z1), x1))), right(node(node(z0, z1), x1)))), x2, inc(x2))) COUNT(node(empty, x1), x2) -> c8(IF(isEmpty(node(empty, x1)), true, right(node(empty, x1)), node(left(left(node(empty, x1))), node(right(left(node(empty, x1))), right(node(empty, x1)))), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c8(IF(false, isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2))) COUNT(empty, 0) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), 0, s(0))) COUNT(node(z0, z1), 0) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), 0, s(0))) COUNT(empty, 0) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), 0, s(0))) COUNT(node(z0, z1), 0) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), 0, s(0))) COUNT(empty, 0) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), 0, s(0))) COUNT(node(z0, z1), 0) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), 0, s(0))) COUNT(empty, 0) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), 0, s(0))) COUNT(node(z0, z1), 0) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), 0, s(0))) COUNT(empty, 0) -> c9(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), 0, s(0))) COUNT(node(z0, z1), 0) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), 0, s(0))) COUNT(node(z0, z1), 0) -> c9(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), 0, s(0))) COUNT(x0, s(0)) -> c9(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(0), s(s(0)))) COUNT(x0, s(s(z0))) -> c9(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(s(z0)), s(s(inc(z0))))) COUNT(empty, s(x1)) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), s(x1), s(inc(x1)))) COUNT(node(z0, z1), s(x1)) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), s(x1), s(inc(x1)))) COUNT(empty, s(x1)) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), s(x1), s(inc(x1)))) COUNT(node(z0, z1), s(x1)) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), s(x1), s(inc(x1)))) COUNT(empty, s(x1)) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), s(x1), s(inc(x1)))) COUNT(node(z0, z1), s(x1)) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1)))) COUNT(empty, s(x1)) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), s(x1), s(inc(x1)))) COUNT(node(z0, z1), s(x1)) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1)))) COUNT(empty, s(x1)) -> c9(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), s(x1), s(inc(x1)))) COUNT(node(z0, z1), s(x1)) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1)))) COUNT(node(z0, z1), s(x1)) -> c9(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1)))) COUNT(empty, x0) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), empty)), x0, inc(x0))) COUNT(empty, x0) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), empty)), x0, inc(x0))) COUNT(empty, x0) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), empty)), x0, inc(x0))) COUNT(empty, x0) -> c9(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x0, inc(x0))) COUNT(empty, x0) -> c9(IF(true, isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x0, inc(x0))) K tuples: COUNT(empty, x1) -> c14(INC(x1)) COUNT(x0, s(x1)) -> c14(INC(s(x1))) COUNT(empty, s(x1)) -> c14(INC(s(x1))) Defined Rule Symbols: isEmpty_1, left_1, right_1, inc_1 Defined Pair Symbols: INC_1, IF_6, COUNT_2 Compound Symbols: c7_1, c16_1, c17_1, c14_1, c9_1, c10_1, c11_1, c12_1, c13_1, c14_2, c8_1 ---------------------------------------- (207) CdtLeafRemovalProof (BOTH BOUNDS(ID, ID)) Removed 1 trailing nodes: COUNT(empty, x0) -> c9(IF(true, isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x0, inc(x0))) ---------------------------------------- (208) Obligation: Complexity Dependency Tuples Problem Rules: isEmpty(empty) -> true isEmpty(node(z0, z1)) -> false left(empty) -> empty left(node(z0, z1)) -> z0 right(empty) -> empty right(node(z0, z1)) -> z1 inc(0) -> s(0) inc(s(z0)) -> s(inc(z0)) Tuples: INC(s(z0)) -> c7(INC(z0)) IF(false, false, z0, z1, z2, z3) -> c16(COUNT(z1, z2)) IF(false, true, z0, z1, z2, z3) -> c17(COUNT(z0, z3)) COUNT(empty, x1) -> c14(INC(x1)) COUNT(node(z0, z1), x1) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1))) COUNT(empty, x1) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c9(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c9(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, 0) -> c10(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(x0, s(z0)) -> c10(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0)))) COUNT(empty, x1) -> c10(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1))) COUNT(empty, x1) -> c10(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c10(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c10(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c10(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, 0) -> c11(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(x0, s(z0)) -> c11(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0)))) COUNT(empty, x1) -> c11(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1))) COUNT(empty, x1) -> c11(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c11(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c11(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c11(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, 0) -> c12(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(x0, s(z0)) -> c12(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0)))) COUNT(empty, x1) -> c12(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1))) COUNT(empty, x1) -> c12(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c12(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c12(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c12(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, 0) -> c13(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(x0, s(z0)) -> c13(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0)))) COUNT(empty, x1) -> c13(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1))) COUNT(empty, x1) -> c13(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c13(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c13(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c13(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, s(0)) -> c14(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(0), s(s(0))), INC(s(0))) COUNT(x0, s(s(z0))) -> c14(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(s(z0)), s(s(inc(z0)))), INC(s(s(z0)))) COUNT(empty, s(x1)) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), s(x1), s(inc(x1))), INC(s(x1))) COUNT(empty, s(x1)) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(empty, s(x1)) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(empty, s(x1)) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(empty, s(x1)) -> c14(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(x0, s(x1)) -> c14(INC(s(x1))) COUNT(empty, s(x1)) -> c14(INC(s(x1))) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), empty)), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), empty)), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), empty)), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x0, inc(x0)), INC(x0)) COUNT(empty, 0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), 0, s(0))) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), z1)), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), z1)), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x2, inc(x2)), INC(x2)) COUNT(node(x0, x1), 0) -> c14(IF(isEmpty(node(x0, x1)), isEmpty(left(node(x0, x1))), right(node(x0, x1)), node(left(left(node(x0, x1))), node(right(left(node(x0, x1))), x1)), 0, s(0))) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(empty, right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(empty), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(empty), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, 0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), 0, s(0))) COUNT(node(node(z0, z1), x1), x2) -> c14(IF(isEmpty(node(node(z0, z1), x1)), isEmpty(left(node(node(z0, z1), x1))), right(node(node(z0, z1), x1)), node(left(left(node(node(z0, z1), x1))), node(z1, right(node(node(z0, z1), x1)))), x2, inc(x2)), INC(x2)) COUNT(node(empty, x1), x2) -> c14(IF(isEmpty(node(empty, x1)), isEmpty(left(node(empty, x1))), right(node(empty, x1)), node(left(left(node(empty, x1))), node(empty, right(node(empty, x1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(z0), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(x0, x1), 0) -> c14(IF(isEmpty(node(x0, x1)), isEmpty(left(node(x0, x1))), right(node(x0, x1)), node(left(left(node(x0, x1))), node(right(x0), right(node(x0, x1)))), 0, s(0))) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(empty, node(right(left(empty)), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(empty), node(right(left(empty)), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, 0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), 0, s(0))) COUNT(node(node(z0, z1), x1), x2) -> c14(IF(isEmpty(node(node(z0, z1), x1)), isEmpty(left(node(node(z0, z1), x1))), right(node(node(z0, z1), x1)), node(z0, node(right(left(node(node(z0, z1), x1))), right(node(node(z0, z1), x1)))), x2, inc(x2)), INC(x2)) COUNT(node(empty, x1), x2) -> c14(IF(isEmpty(node(empty, x1)), isEmpty(left(node(empty, x1))), right(node(empty, x1)), node(empty, node(right(left(node(empty, x1))), right(node(empty, x1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(x0, x1), 0) -> c14(IF(isEmpty(node(x0, x1)), isEmpty(left(node(x0, x1))), right(node(x0, x1)), node(left(x0), node(right(left(node(x0, x1))), right(node(x0, x1)))), 0, s(0))) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(empty), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, 0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), 0, s(0))) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(z0), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(false, isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(x0, x1), 0) -> c14(IF(isEmpty(node(x0, x1)), isEmpty(left(node(x0, x1))), x1, node(left(left(node(x0, x1))), node(right(left(node(x0, x1))), right(node(x0, x1)))), 0, s(0))) COUNT(empty, x0) -> c14(IF(isEmpty(empty), true, right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, 0) -> c14(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), 0, s(0))) COUNT(node(node(z0, z1), x1), x2) -> c14(IF(isEmpty(node(node(z0, z1), x1)), false, right(node(node(z0, z1), x1)), node(left(left(node(node(z0, z1), x1))), node(right(left(node(node(z0, z1), x1))), right(node(node(z0, z1), x1)))), x2, inc(x2)), INC(x2)) COUNT(node(empty, x1), x2) -> c14(IF(isEmpty(node(empty, x1)), true, right(node(empty, x1)), node(left(left(node(empty, x1))), node(right(left(node(empty, x1))), right(node(empty, x1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(false, isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(x0, x1), 0) -> c14(IF(isEmpty(node(x0, x1)), isEmpty(x0), right(node(x0, x1)), node(left(left(node(x0, x1))), node(right(left(node(x0, x1))), right(node(x0, x1)))), 0, s(0))) COUNT(node(x0, x1), 0) -> c14(IF(false, isEmpty(left(node(x0, x1))), right(node(x0, x1)), node(left(left(node(x0, x1))), node(right(left(node(x0, x1))), right(node(x0, x1)))), 0, s(0))) COUNT(empty, 0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), 0, s(0))) COUNT(node(z0, z1), 0) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), 0, s(0))) COUNT(empty, 0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), 0, s(0))) COUNT(node(z0, z1), 0) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), 0, s(0))) COUNT(empty, 0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), 0, s(0))) COUNT(node(z0, z1), 0) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), 0, s(0))) COUNT(empty, 0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), 0, s(0))) COUNT(node(z0, z1), 0) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), 0, s(0))) COUNT(empty, 0) -> c8(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), 0, s(0))) COUNT(node(z0, z1), 0) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), 0, s(0))) COUNT(node(z0, z1), 0) -> c8(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), 0, s(0))) COUNT(x0, s(0)) -> c8(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(0), s(s(0)))) COUNT(x0, s(s(z0))) -> c8(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(s(z0)), s(s(inc(z0))))) COUNT(empty, s(x1)) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), s(x1), s(inc(x1)))) COUNT(node(z0, z1), s(x1)) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), s(x1), s(inc(x1)))) COUNT(empty, s(x1)) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), s(x1), s(inc(x1)))) COUNT(node(z0, z1), s(x1)) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), s(x1), s(inc(x1)))) COUNT(empty, s(x1)) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), s(x1), s(inc(x1)))) COUNT(node(z0, z1), s(x1)) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1)))) COUNT(empty, s(x1)) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), s(x1), s(inc(x1)))) COUNT(node(z0, z1), s(x1)) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1)))) COUNT(empty, s(x1)) -> c8(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), s(x1), s(inc(x1)))) COUNT(node(z0, z1), s(x1)) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1)))) COUNT(node(z0, z1), s(x1)) -> c8(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1)))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), empty)), x0, inc(x0))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), empty)), x0, inc(x0))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), empty)), x0, inc(x0))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x0, inc(x0))) COUNT(node(z0, z1), x2) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), z1)), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), z1)), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c8(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x2, inc(x2))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(empty, right(empty))), x0, inc(x0))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(empty), right(empty))), x0, inc(x0))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(empty), right(empty))), x0, inc(x0))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x0, inc(x0))) COUNT(node(node(z0, z1), x1), x2) -> c8(IF(isEmpty(node(node(z0, z1), x1)), isEmpty(left(node(node(z0, z1), x1))), right(node(node(z0, z1), x1)), node(left(left(node(node(z0, z1), x1))), node(z1, right(node(node(z0, z1), x1)))), x2, inc(x2))) COUNT(node(empty, x1), x2) -> c8(IF(isEmpty(node(empty, x1)), isEmpty(left(node(empty, x1))), right(node(empty, x1)), node(left(left(node(empty, x1))), node(empty, right(node(empty, x1)))), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(z0), right(node(z0, z1)))), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c8(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x2, inc(x2))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(empty, node(right(left(empty)), right(empty))), x0, inc(x0))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(empty), node(right(left(empty)), right(empty))), x0, inc(x0))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x0, inc(x0))) COUNT(node(node(z0, z1), x1), x2) -> c8(IF(isEmpty(node(node(z0, z1), x1)), isEmpty(left(node(node(z0, z1), x1))), right(node(node(z0, z1), x1)), node(z0, node(right(left(node(node(z0, z1), x1))), right(node(node(z0, z1), x1)))), x2, inc(x2))) COUNT(node(empty, x1), x2) -> c8(IF(isEmpty(node(empty, x1)), isEmpty(left(node(empty, x1))), right(node(empty, x1)), node(empty, node(right(left(node(empty, x1))), right(node(empty, x1)))), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c8(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), isEmpty(empty), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x0, inc(x0))) COUNT(node(z0, z1), x2) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(z0), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c8(IF(false, isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), true, right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x0, inc(x0))) COUNT(node(node(z0, z1), x1), x2) -> c8(IF(isEmpty(node(node(z0, z1), x1)), false, right(node(node(z0, z1), x1)), node(left(left(node(node(z0, z1), x1))), node(right(left(node(node(z0, z1), x1))), right(node(node(z0, z1), x1)))), x2, inc(x2))) COUNT(node(empty, x1), x2) -> c8(IF(isEmpty(node(empty, x1)), true, right(node(empty, x1)), node(left(left(node(empty, x1))), node(right(left(node(empty, x1))), right(node(empty, x1)))), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c8(IF(false, isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2))) COUNT(empty, 0) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), 0, s(0))) COUNT(node(z0, z1), 0) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), 0, s(0))) COUNT(empty, 0) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), 0, s(0))) COUNT(node(z0, z1), 0) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), 0, s(0))) COUNT(empty, 0) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), 0, s(0))) COUNT(node(z0, z1), 0) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), 0, s(0))) COUNT(empty, 0) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), 0, s(0))) COUNT(node(z0, z1), 0) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), 0, s(0))) COUNT(empty, 0) -> c9(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), 0, s(0))) COUNT(node(z0, z1), 0) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), 0, s(0))) COUNT(node(z0, z1), 0) -> c9(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), 0, s(0))) COUNT(x0, s(0)) -> c9(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(0), s(s(0)))) COUNT(x0, s(s(z0))) -> c9(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(s(z0)), s(s(inc(z0))))) COUNT(empty, s(x1)) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), s(x1), s(inc(x1)))) COUNT(node(z0, z1), s(x1)) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), s(x1), s(inc(x1)))) COUNT(empty, s(x1)) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), s(x1), s(inc(x1)))) COUNT(node(z0, z1), s(x1)) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), s(x1), s(inc(x1)))) COUNT(empty, s(x1)) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), s(x1), s(inc(x1)))) COUNT(node(z0, z1), s(x1)) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1)))) COUNT(empty, s(x1)) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), s(x1), s(inc(x1)))) COUNT(node(z0, z1), s(x1)) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1)))) COUNT(empty, s(x1)) -> c9(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), s(x1), s(inc(x1)))) COUNT(node(z0, z1), s(x1)) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1)))) COUNT(node(z0, z1), s(x1)) -> c9(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1)))) COUNT(empty, x0) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), empty)), x0, inc(x0))) COUNT(empty, x0) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), empty)), x0, inc(x0))) COUNT(empty, x0) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), empty)), x0, inc(x0))) COUNT(empty, x0) -> c9(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x0, inc(x0))) S tuples: INC(s(z0)) -> c7(INC(z0)) IF(false, false, z0, z1, z2, z3) -> c16(COUNT(z1, z2)) IF(false, true, z0, z1, z2, z3) -> c17(COUNT(z0, z3)) COUNT(node(z0, z1), x1) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1))) COUNT(empty, x1) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c9(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c9(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, 0) -> c10(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(x0, s(z0)) -> c10(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0)))) COUNT(empty, x1) -> c10(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1))) COUNT(empty, x1) -> c10(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c10(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c10(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c10(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, 0) -> c11(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(x0, s(z0)) -> c11(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0)))) COUNT(empty, x1) -> c11(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1))) COUNT(empty, x1) -> c11(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c11(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c11(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c11(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, 0) -> c12(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(x0, s(z0)) -> c12(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0)))) COUNT(empty, x1) -> c12(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1))) COUNT(empty, x1) -> c12(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c12(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c12(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c12(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, 0) -> c13(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(x0, s(z0)) -> c13(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0)))) COUNT(empty, x1) -> c13(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1))) COUNT(empty, x1) -> c13(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c13(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c13(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c13(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, s(0)) -> c14(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(0), s(s(0))), INC(s(0))) COUNT(x0, s(s(z0))) -> c14(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(s(z0)), s(s(inc(z0)))), INC(s(s(z0)))) COUNT(empty, s(x1)) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), s(x1), s(inc(x1))), INC(s(x1))) COUNT(empty, s(x1)) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(empty, s(x1)) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(empty, s(x1)) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(empty, s(x1)) -> c14(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), empty)), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), empty)), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), empty)), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x0, inc(x0)), INC(x0)) COUNT(empty, 0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), 0, s(0))) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), z1)), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), z1)), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x2, inc(x2)), INC(x2)) COUNT(node(x0, x1), 0) -> c14(IF(isEmpty(node(x0, x1)), isEmpty(left(node(x0, x1))), right(node(x0, x1)), node(left(left(node(x0, x1))), node(right(left(node(x0, x1))), x1)), 0, s(0))) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(empty, right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(empty), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(empty), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, 0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), 0, s(0))) COUNT(node(node(z0, z1), x1), x2) -> c14(IF(isEmpty(node(node(z0, z1), x1)), isEmpty(left(node(node(z0, z1), x1))), right(node(node(z0, z1), x1)), node(left(left(node(node(z0, z1), x1))), node(z1, right(node(node(z0, z1), x1)))), x2, inc(x2)), INC(x2)) COUNT(node(empty, x1), x2) -> c14(IF(isEmpty(node(empty, x1)), isEmpty(left(node(empty, x1))), right(node(empty, x1)), node(left(left(node(empty, x1))), node(empty, right(node(empty, x1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(z0), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(x0, x1), 0) -> c14(IF(isEmpty(node(x0, x1)), isEmpty(left(node(x0, x1))), right(node(x0, x1)), node(left(left(node(x0, x1))), node(right(x0), right(node(x0, x1)))), 0, s(0))) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(empty, node(right(left(empty)), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(empty), node(right(left(empty)), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, 0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), 0, s(0))) COUNT(node(node(z0, z1), x1), x2) -> c14(IF(isEmpty(node(node(z0, z1), x1)), isEmpty(left(node(node(z0, z1), x1))), right(node(node(z0, z1), x1)), node(z0, node(right(left(node(node(z0, z1), x1))), right(node(node(z0, z1), x1)))), x2, inc(x2)), INC(x2)) COUNT(node(empty, x1), x2) -> c14(IF(isEmpty(node(empty, x1)), isEmpty(left(node(empty, x1))), right(node(empty, x1)), node(empty, node(right(left(node(empty, x1))), right(node(empty, x1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(x0, x1), 0) -> c14(IF(isEmpty(node(x0, x1)), isEmpty(left(node(x0, x1))), right(node(x0, x1)), node(left(x0), node(right(left(node(x0, x1))), right(node(x0, x1)))), 0, s(0))) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(empty), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, 0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), 0, s(0))) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(z0), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(false, isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(x0, x1), 0) -> c14(IF(isEmpty(node(x0, x1)), isEmpty(left(node(x0, x1))), x1, node(left(left(node(x0, x1))), node(right(left(node(x0, x1))), right(node(x0, x1)))), 0, s(0))) COUNT(empty, x0) -> c14(IF(isEmpty(empty), true, right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, 0) -> c14(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), 0, s(0))) COUNT(node(node(z0, z1), x1), x2) -> c14(IF(isEmpty(node(node(z0, z1), x1)), false, right(node(node(z0, z1), x1)), node(left(left(node(node(z0, z1), x1))), node(right(left(node(node(z0, z1), x1))), right(node(node(z0, z1), x1)))), x2, inc(x2)), INC(x2)) COUNT(node(empty, x1), x2) -> c14(IF(isEmpty(node(empty, x1)), true, right(node(empty, x1)), node(left(left(node(empty, x1))), node(right(left(node(empty, x1))), right(node(empty, x1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(false, isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(x0, x1), 0) -> c14(IF(isEmpty(node(x0, x1)), isEmpty(x0), right(node(x0, x1)), node(left(left(node(x0, x1))), node(right(left(node(x0, x1))), right(node(x0, x1)))), 0, s(0))) COUNT(node(x0, x1), 0) -> c14(IF(false, isEmpty(left(node(x0, x1))), right(node(x0, x1)), node(left(left(node(x0, x1))), node(right(left(node(x0, x1))), right(node(x0, x1)))), 0, s(0))) COUNT(empty, 0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), 0, s(0))) COUNT(node(z0, z1), 0) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), 0, s(0))) COUNT(empty, 0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), 0, s(0))) COUNT(node(z0, z1), 0) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), 0, s(0))) COUNT(empty, 0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), 0, s(0))) COUNT(node(z0, z1), 0) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), 0, s(0))) COUNT(empty, 0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), 0, s(0))) COUNT(node(z0, z1), 0) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), 0, s(0))) COUNT(empty, 0) -> c8(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), 0, s(0))) COUNT(node(z0, z1), 0) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), 0, s(0))) COUNT(node(z0, z1), 0) -> c8(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), 0, s(0))) COUNT(x0, s(0)) -> c8(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(0), s(s(0)))) COUNT(x0, s(s(z0))) -> c8(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(s(z0)), s(s(inc(z0))))) COUNT(empty, s(x1)) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), s(x1), s(inc(x1)))) COUNT(node(z0, z1), s(x1)) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), s(x1), s(inc(x1)))) COUNT(empty, s(x1)) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), s(x1), s(inc(x1)))) COUNT(node(z0, z1), s(x1)) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), s(x1), s(inc(x1)))) COUNT(empty, s(x1)) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), s(x1), s(inc(x1)))) COUNT(node(z0, z1), s(x1)) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1)))) COUNT(empty, s(x1)) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), s(x1), s(inc(x1)))) COUNT(node(z0, z1), s(x1)) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1)))) COUNT(empty, s(x1)) -> c8(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), s(x1), s(inc(x1)))) COUNT(node(z0, z1), s(x1)) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1)))) COUNT(node(z0, z1), s(x1)) -> c8(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1)))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), empty)), x0, inc(x0))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), empty)), x0, inc(x0))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), empty)), x0, inc(x0))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x0, inc(x0))) COUNT(node(z0, z1), x2) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), z1)), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), z1)), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c8(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x2, inc(x2))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(empty, right(empty))), x0, inc(x0))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(empty), right(empty))), x0, inc(x0))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(empty), right(empty))), x0, inc(x0))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x0, inc(x0))) COUNT(node(node(z0, z1), x1), x2) -> c8(IF(isEmpty(node(node(z0, z1), x1)), isEmpty(left(node(node(z0, z1), x1))), right(node(node(z0, z1), x1)), node(left(left(node(node(z0, z1), x1))), node(z1, right(node(node(z0, z1), x1)))), x2, inc(x2))) COUNT(node(empty, x1), x2) -> c8(IF(isEmpty(node(empty, x1)), isEmpty(left(node(empty, x1))), right(node(empty, x1)), node(left(left(node(empty, x1))), node(empty, right(node(empty, x1)))), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(z0), right(node(z0, z1)))), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c8(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x2, inc(x2))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(empty, node(right(left(empty)), right(empty))), x0, inc(x0))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(empty), node(right(left(empty)), right(empty))), x0, inc(x0))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x0, inc(x0))) COUNT(node(node(z0, z1), x1), x2) -> c8(IF(isEmpty(node(node(z0, z1), x1)), isEmpty(left(node(node(z0, z1), x1))), right(node(node(z0, z1), x1)), node(z0, node(right(left(node(node(z0, z1), x1))), right(node(node(z0, z1), x1)))), x2, inc(x2))) COUNT(node(empty, x1), x2) -> c8(IF(isEmpty(node(empty, x1)), isEmpty(left(node(empty, x1))), right(node(empty, x1)), node(empty, node(right(left(node(empty, x1))), right(node(empty, x1)))), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c8(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), isEmpty(empty), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x0, inc(x0))) COUNT(node(z0, z1), x2) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(z0), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c8(IF(false, isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), true, right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x0, inc(x0))) COUNT(node(node(z0, z1), x1), x2) -> c8(IF(isEmpty(node(node(z0, z1), x1)), false, right(node(node(z0, z1), x1)), node(left(left(node(node(z0, z1), x1))), node(right(left(node(node(z0, z1), x1))), right(node(node(z0, z1), x1)))), x2, inc(x2))) COUNT(node(empty, x1), x2) -> c8(IF(isEmpty(node(empty, x1)), true, right(node(empty, x1)), node(left(left(node(empty, x1))), node(right(left(node(empty, x1))), right(node(empty, x1)))), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c8(IF(false, isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2))) COUNT(empty, 0) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), 0, s(0))) COUNT(node(z0, z1), 0) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), 0, s(0))) COUNT(empty, 0) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), 0, s(0))) COUNT(node(z0, z1), 0) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), 0, s(0))) COUNT(empty, 0) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), 0, s(0))) COUNT(node(z0, z1), 0) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), 0, s(0))) COUNT(empty, 0) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), 0, s(0))) COUNT(node(z0, z1), 0) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), 0, s(0))) COUNT(empty, 0) -> c9(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), 0, s(0))) COUNT(node(z0, z1), 0) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), 0, s(0))) COUNT(node(z0, z1), 0) -> c9(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), 0, s(0))) COUNT(x0, s(0)) -> c9(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(0), s(s(0)))) COUNT(x0, s(s(z0))) -> c9(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(s(z0)), s(s(inc(z0))))) COUNT(empty, s(x1)) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), s(x1), s(inc(x1)))) COUNT(node(z0, z1), s(x1)) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), s(x1), s(inc(x1)))) COUNT(empty, s(x1)) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), s(x1), s(inc(x1)))) COUNT(node(z0, z1), s(x1)) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), s(x1), s(inc(x1)))) COUNT(empty, s(x1)) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), s(x1), s(inc(x1)))) COUNT(node(z0, z1), s(x1)) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1)))) COUNT(empty, s(x1)) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), s(x1), s(inc(x1)))) COUNT(node(z0, z1), s(x1)) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1)))) COUNT(empty, s(x1)) -> c9(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), s(x1), s(inc(x1)))) COUNT(node(z0, z1), s(x1)) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1)))) COUNT(node(z0, z1), s(x1)) -> c9(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1)))) COUNT(empty, x0) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), empty)), x0, inc(x0))) COUNT(empty, x0) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), empty)), x0, inc(x0))) COUNT(empty, x0) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), empty)), x0, inc(x0))) COUNT(empty, x0) -> c9(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x0, inc(x0))) K tuples: COUNT(empty, x1) -> c14(INC(x1)) COUNT(x0, s(x1)) -> c14(INC(s(x1))) COUNT(empty, s(x1)) -> c14(INC(s(x1))) Defined Rule Symbols: isEmpty_1, left_1, right_1, inc_1 Defined Pair Symbols: INC_1, IF_6, COUNT_2 Compound Symbols: c7_1, c16_1, c17_1, c14_1, c9_1, c10_1, c11_1, c12_1, c13_1, c14_2, c8_1 ---------------------------------------- (209) CdtNarrowingProof (BOTH BOUNDS(ID, ID)) Use narrowing to replace COUNT(node(z0, z1), x1) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1))) by COUNT(node(x0, x1), 0) -> c9(IF(isEmpty(node(x0, x1)), isEmpty(left(node(x0, x1))), right(node(x0, x1)), node(left(left(node(x0, x1))), node(right(left(node(x0, x1))), x1)), 0, s(0))) COUNT(node(x0, x1), s(z0)) -> c9(IF(isEmpty(node(x0, x1)), isEmpty(left(node(x0, x1))), right(node(x0, x1)), node(left(left(node(x0, x1))), node(right(left(node(x0, x1))), x1)), s(z0), s(inc(z0)))) COUNT(node(z0, z1), x2) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), z1)), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), z1)), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c9(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x2, inc(x2))) ---------------------------------------- (210) Obligation: Complexity Dependency Tuples Problem Rules: isEmpty(empty) -> true isEmpty(node(z0, z1)) -> false left(empty) -> empty left(node(z0, z1)) -> z0 right(empty) -> empty right(node(z0, z1)) -> z1 inc(0) -> s(0) inc(s(z0)) -> s(inc(z0)) Tuples: INC(s(z0)) -> c7(INC(z0)) IF(false, false, z0, z1, z2, z3) -> c16(COUNT(z1, z2)) IF(false, true, z0, z1, z2, z3) -> c17(COUNT(z0, z3)) COUNT(empty, x1) -> c14(INC(x1)) COUNT(empty, x1) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c9(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c9(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, 0) -> c10(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(x0, s(z0)) -> c10(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0)))) COUNT(empty, x1) -> c10(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1))) COUNT(empty, x1) -> c10(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c10(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c10(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c10(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, 0) -> c11(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(x0, s(z0)) -> c11(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0)))) COUNT(empty, x1) -> c11(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1))) COUNT(empty, x1) -> c11(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c11(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c11(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c11(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, 0) -> c12(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(x0, s(z0)) -> c12(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0)))) COUNT(empty, x1) -> c12(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1))) COUNT(empty, x1) -> c12(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c12(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c12(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c12(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, 0) -> c13(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(x0, s(z0)) -> c13(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0)))) COUNT(empty, x1) -> c13(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1))) COUNT(empty, x1) -> c13(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c13(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c13(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c13(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, s(0)) -> c14(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(0), s(s(0))), INC(s(0))) COUNT(x0, s(s(z0))) -> c14(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(s(z0)), s(s(inc(z0)))), INC(s(s(z0)))) COUNT(empty, s(x1)) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), s(x1), s(inc(x1))), INC(s(x1))) COUNT(empty, s(x1)) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(empty, s(x1)) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(empty, s(x1)) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(empty, s(x1)) -> c14(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(x0, s(x1)) -> c14(INC(s(x1))) COUNT(empty, s(x1)) -> c14(INC(s(x1))) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), empty)), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), empty)), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), empty)), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x0, inc(x0)), INC(x0)) COUNT(empty, 0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), 0, s(0))) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), z1)), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), z1)), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x2, inc(x2)), INC(x2)) COUNT(node(x0, x1), 0) -> c14(IF(isEmpty(node(x0, x1)), isEmpty(left(node(x0, x1))), right(node(x0, x1)), node(left(left(node(x0, x1))), node(right(left(node(x0, x1))), x1)), 0, s(0))) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(empty, right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(empty), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(empty), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, 0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), 0, s(0))) COUNT(node(node(z0, z1), x1), x2) -> c14(IF(isEmpty(node(node(z0, z1), x1)), isEmpty(left(node(node(z0, z1), x1))), right(node(node(z0, z1), x1)), node(left(left(node(node(z0, z1), x1))), node(z1, right(node(node(z0, z1), x1)))), x2, inc(x2)), INC(x2)) COUNT(node(empty, x1), x2) -> c14(IF(isEmpty(node(empty, x1)), isEmpty(left(node(empty, x1))), right(node(empty, x1)), node(left(left(node(empty, x1))), node(empty, right(node(empty, x1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(z0), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(x0, x1), 0) -> c14(IF(isEmpty(node(x0, x1)), isEmpty(left(node(x0, x1))), right(node(x0, x1)), node(left(left(node(x0, x1))), node(right(x0), right(node(x0, x1)))), 0, s(0))) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(empty, node(right(left(empty)), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(empty), node(right(left(empty)), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, 0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), 0, s(0))) COUNT(node(node(z0, z1), x1), x2) -> c14(IF(isEmpty(node(node(z0, z1), x1)), isEmpty(left(node(node(z0, z1), x1))), right(node(node(z0, z1), x1)), node(z0, node(right(left(node(node(z0, z1), x1))), right(node(node(z0, z1), x1)))), x2, inc(x2)), INC(x2)) COUNT(node(empty, x1), x2) -> c14(IF(isEmpty(node(empty, x1)), isEmpty(left(node(empty, x1))), right(node(empty, x1)), node(empty, node(right(left(node(empty, x1))), right(node(empty, x1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(x0, x1), 0) -> c14(IF(isEmpty(node(x0, x1)), isEmpty(left(node(x0, x1))), right(node(x0, x1)), node(left(x0), node(right(left(node(x0, x1))), right(node(x0, x1)))), 0, s(0))) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(empty), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, 0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), 0, s(0))) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(z0), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(false, isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(x0, x1), 0) -> c14(IF(isEmpty(node(x0, x1)), isEmpty(left(node(x0, x1))), x1, node(left(left(node(x0, x1))), node(right(left(node(x0, x1))), right(node(x0, x1)))), 0, s(0))) COUNT(empty, x0) -> c14(IF(isEmpty(empty), true, right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, 0) -> c14(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), 0, s(0))) COUNT(node(node(z0, z1), x1), x2) -> c14(IF(isEmpty(node(node(z0, z1), x1)), false, right(node(node(z0, z1), x1)), node(left(left(node(node(z0, z1), x1))), node(right(left(node(node(z0, z1), x1))), right(node(node(z0, z1), x1)))), x2, inc(x2)), INC(x2)) COUNT(node(empty, x1), x2) -> c14(IF(isEmpty(node(empty, x1)), true, right(node(empty, x1)), node(left(left(node(empty, x1))), node(right(left(node(empty, x1))), right(node(empty, x1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(false, isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(x0, x1), 0) -> c14(IF(isEmpty(node(x0, x1)), isEmpty(x0), right(node(x0, x1)), node(left(left(node(x0, x1))), node(right(left(node(x0, x1))), right(node(x0, x1)))), 0, s(0))) COUNT(node(x0, x1), 0) -> c14(IF(false, isEmpty(left(node(x0, x1))), right(node(x0, x1)), node(left(left(node(x0, x1))), node(right(left(node(x0, x1))), right(node(x0, x1)))), 0, s(0))) COUNT(empty, 0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), 0, s(0))) COUNT(node(z0, z1), 0) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), 0, s(0))) COUNT(empty, 0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), 0, s(0))) COUNT(node(z0, z1), 0) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), 0, s(0))) COUNT(empty, 0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), 0, s(0))) COUNT(node(z0, z1), 0) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), 0, s(0))) COUNT(empty, 0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), 0, s(0))) COUNT(node(z0, z1), 0) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), 0, s(0))) COUNT(empty, 0) -> c8(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), 0, s(0))) COUNT(node(z0, z1), 0) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), 0, s(0))) COUNT(node(z0, z1), 0) -> c8(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), 0, s(0))) COUNT(x0, s(0)) -> c8(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(0), s(s(0)))) COUNT(x0, s(s(z0))) -> c8(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(s(z0)), s(s(inc(z0))))) COUNT(empty, s(x1)) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), s(x1), s(inc(x1)))) COUNT(node(z0, z1), s(x1)) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), s(x1), s(inc(x1)))) COUNT(empty, s(x1)) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), s(x1), s(inc(x1)))) COUNT(node(z0, z1), s(x1)) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), s(x1), s(inc(x1)))) COUNT(empty, s(x1)) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), s(x1), s(inc(x1)))) COUNT(node(z0, z1), s(x1)) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1)))) COUNT(empty, s(x1)) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), s(x1), s(inc(x1)))) COUNT(node(z0, z1), s(x1)) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1)))) COUNT(empty, s(x1)) -> c8(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), s(x1), s(inc(x1)))) COUNT(node(z0, z1), s(x1)) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1)))) COUNT(node(z0, z1), s(x1)) -> c8(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1)))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), empty)), x0, inc(x0))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), empty)), x0, inc(x0))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), empty)), x0, inc(x0))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x0, inc(x0))) COUNT(node(z0, z1), x2) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), z1)), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), z1)), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c8(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x2, inc(x2))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(empty, right(empty))), x0, inc(x0))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(empty), right(empty))), x0, inc(x0))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(empty), right(empty))), x0, inc(x0))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x0, inc(x0))) COUNT(node(node(z0, z1), x1), x2) -> c8(IF(isEmpty(node(node(z0, z1), x1)), isEmpty(left(node(node(z0, z1), x1))), right(node(node(z0, z1), x1)), node(left(left(node(node(z0, z1), x1))), node(z1, right(node(node(z0, z1), x1)))), x2, inc(x2))) COUNT(node(empty, x1), x2) -> c8(IF(isEmpty(node(empty, x1)), isEmpty(left(node(empty, x1))), right(node(empty, x1)), node(left(left(node(empty, x1))), node(empty, right(node(empty, x1)))), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(z0), right(node(z0, z1)))), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c8(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x2, inc(x2))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(empty, node(right(left(empty)), right(empty))), x0, inc(x0))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(empty), node(right(left(empty)), right(empty))), x0, inc(x0))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x0, inc(x0))) COUNT(node(node(z0, z1), x1), x2) -> c8(IF(isEmpty(node(node(z0, z1), x1)), isEmpty(left(node(node(z0, z1), x1))), right(node(node(z0, z1), x1)), node(z0, node(right(left(node(node(z0, z1), x1))), right(node(node(z0, z1), x1)))), x2, inc(x2))) COUNT(node(empty, x1), x2) -> c8(IF(isEmpty(node(empty, x1)), isEmpty(left(node(empty, x1))), right(node(empty, x1)), node(empty, node(right(left(node(empty, x1))), right(node(empty, x1)))), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c8(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), isEmpty(empty), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x0, inc(x0))) COUNT(node(z0, z1), x2) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(z0), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c8(IF(false, isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), true, right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x0, inc(x0))) COUNT(node(node(z0, z1), x1), x2) -> c8(IF(isEmpty(node(node(z0, z1), x1)), false, right(node(node(z0, z1), x1)), node(left(left(node(node(z0, z1), x1))), node(right(left(node(node(z0, z1), x1))), right(node(node(z0, z1), x1)))), x2, inc(x2))) COUNT(node(empty, x1), x2) -> c8(IF(isEmpty(node(empty, x1)), true, right(node(empty, x1)), node(left(left(node(empty, x1))), node(right(left(node(empty, x1))), right(node(empty, x1)))), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c8(IF(false, isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2))) COUNT(empty, 0) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), 0, s(0))) COUNT(node(z0, z1), 0) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), 0, s(0))) COUNT(empty, 0) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), 0, s(0))) COUNT(node(z0, z1), 0) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), 0, s(0))) COUNT(empty, 0) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), 0, s(0))) COUNT(node(z0, z1), 0) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), 0, s(0))) COUNT(empty, 0) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), 0, s(0))) COUNT(node(z0, z1), 0) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), 0, s(0))) COUNT(empty, 0) -> c9(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), 0, s(0))) COUNT(node(z0, z1), 0) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), 0, s(0))) COUNT(node(z0, z1), 0) -> c9(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), 0, s(0))) COUNT(x0, s(0)) -> c9(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(0), s(s(0)))) COUNT(x0, s(s(z0))) -> c9(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(s(z0)), s(s(inc(z0))))) COUNT(empty, s(x1)) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), s(x1), s(inc(x1)))) COUNT(node(z0, z1), s(x1)) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), s(x1), s(inc(x1)))) COUNT(empty, s(x1)) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), s(x1), s(inc(x1)))) COUNT(node(z0, z1), s(x1)) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), s(x1), s(inc(x1)))) COUNT(empty, s(x1)) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), s(x1), s(inc(x1)))) COUNT(node(z0, z1), s(x1)) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1)))) COUNT(empty, s(x1)) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), s(x1), s(inc(x1)))) COUNT(node(z0, z1), s(x1)) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1)))) COUNT(empty, s(x1)) -> c9(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), s(x1), s(inc(x1)))) COUNT(node(z0, z1), s(x1)) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1)))) COUNT(node(z0, z1), s(x1)) -> c9(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1)))) COUNT(empty, x0) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), empty)), x0, inc(x0))) COUNT(empty, x0) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), empty)), x0, inc(x0))) COUNT(empty, x0) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), empty)), x0, inc(x0))) COUNT(empty, x0) -> c9(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x0, inc(x0))) COUNT(node(z0, z1), x2) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), z1)), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), z1)), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c9(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x2, inc(x2))) S tuples: INC(s(z0)) -> c7(INC(z0)) IF(false, false, z0, z1, z2, z3) -> c16(COUNT(z1, z2)) IF(false, true, z0, z1, z2, z3) -> c17(COUNT(z0, z3)) COUNT(empty, x1) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c9(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c9(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, 0) -> c10(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(x0, s(z0)) -> c10(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0)))) COUNT(empty, x1) -> c10(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1))) COUNT(empty, x1) -> c10(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c10(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c10(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c10(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, 0) -> c11(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(x0, s(z0)) -> c11(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0)))) COUNT(empty, x1) -> c11(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1))) COUNT(empty, x1) -> c11(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c11(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c11(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c11(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, 0) -> c12(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(x0, s(z0)) -> c12(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0)))) COUNT(empty, x1) -> c12(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1))) COUNT(empty, x1) -> c12(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c12(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c12(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c12(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, 0) -> c13(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(x0, s(z0)) -> c13(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0)))) COUNT(empty, x1) -> c13(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1))) COUNT(empty, x1) -> c13(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c13(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c13(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c13(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, s(0)) -> c14(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(0), s(s(0))), INC(s(0))) COUNT(x0, s(s(z0))) -> c14(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(s(z0)), s(s(inc(z0)))), INC(s(s(z0)))) COUNT(empty, s(x1)) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), s(x1), s(inc(x1))), INC(s(x1))) COUNT(empty, s(x1)) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(empty, s(x1)) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(empty, s(x1)) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(empty, s(x1)) -> c14(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), empty)), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), empty)), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), empty)), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x0, inc(x0)), INC(x0)) COUNT(empty, 0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), 0, s(0))) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), z1)), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), z1)), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x2, inc(x2)), INC(x2)) COUNT(node(x0, x1), 0) -> c14(IF(isEmpty(node(x0, x1)), isEmpty(left(node(x0, x1))), right(node(x0, x1)), node(left(left(node(x0, x1))), node(right(left(node(x0, x1))), x1)), 0, s(0))) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(empty, right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(empty), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(empty), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, 0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), 0, s(0))) COUNT(node(node(z0, z1), x1), x2) -> c14(IF(isEmpty(node(node(z0, z1), x1)), isEmpty(left(node(node(z0, z1), x1))), right(node(node(z0, z1), x1)), node(left(left(node(node(z0, z1), x1))), node(z1, right(node(node(z0, z1), x1)))), x2, inc(x2)), INC(x2)) COUNT(node(empty, x1), x2) -> c14(IF(isEmpty(node(empty, x1)), isEmpty(left(node(empty, x1))), right(node(empty, x1)), node(left(left(node(empty, x1))), node(empty, right(node(empty, x1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(z0), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(x0, x1), 0) -> c14(IF(isEmpty(node(x0, x1)), isEmpty(left(node(x0, x1))), right(node(x0, x1)), node(left(left(node(x0, x1))), node(right(x0), right(node(x0, x1)))), 0, s(0))) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(empty, node(right(left(empty)), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(empty), node(right(left(empty)), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, 0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), 0, s(0))) COUNT(node(node(z0, z1), x1), x2) -> c14(IF(isEmpty(node(node(z0, z1), x1)), isEmpty(left(node(node(z0, z1), x1))), right(node(node(z0, z1), x1)), node(z0, node(right(left(node(node(z0, z1), x1))), right(node(node(z0, z1), x1)))), x2, inc(x2)), INC(x2)) COUNT(node(empty, x1), x2) -> c14(IF(isEmpty(node(empty, x1)), isEmpty(left(node(empty, x1))), right(node(empty, x1)), node(empty, node(right(left(node(empty, x1))), right(node(empty, x1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(x0, x1), 0) -> c14(IF(isEmpty(node(x0, x1)), isEmpty(left(node(x0, x1))), right(node(x0, x1)), node(left(x0), node(right(left(node(x0, x1))), right(node(x0, x1)))), 0, s(0))) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(empty), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, 0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), 0, s(0))) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(z0), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(false, isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(x0, x1), 0) -> c14(IF(isEmpty(node(x0, x1)), isEmpty(left(node(x0, x1))), x1, node(left(left(node(x0, x1))), node(right(left(node(x0, x1))), right(node(x0, x1)))), 0, s(0))) COUNT(empty, x0) -> c14(IF(isEmpty(empty), true, right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, 0) -> c14(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), 0, s(0))) COUNT(node(node(z0, z1), x1), x2) -> c14(IF(isEmpty(node(node(z0, z1), x1)), false, right(node(node(z0, z1), x1)), node(left(left(node(node(z0, z1), x1))), node(right(left(node(node(z0, z1), x1))), right(node(node(z0, z1), x1)))), x2, inc(x2)), INC(x2)) COUNT(node(empty, x1), x2) -> c14(IF(isEmpty(node(empty, x1)), true, right(node(empty, x1)), node(left(left(node(empty, x1))), node(right(left(node(empty, x1))), right(node(empty, x1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(false, isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(x0, x1), 0) -> c14(IF(isEmpty(node(x0, x1)), isEmpty(x0), right(node(x0, x1)), node(left(left(node(x0, x1))), node(right(left(node(x0, x1))), right(node(x0, x1)))), 0, s(0))) COUNT(node(x0, x1), 0) -> c14(IF(false, isEmpty(left(node(x0, x1))), right(node(x0, x1)), node(left(left(node(x0, x1))), node(right(left(node(x0, x1))), right(node(x0, x1)))), 0, s(0))) COUNT(empty, 0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), 0, s(0))) COUNT(node(z0, z1), 0) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), 0, s(0))) COUNT(empty, 0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), 0, s(0))) COUNT(node(z0, z1), 0) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), 0, s(0))) COUNT(empty, 0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), 0, s(0))) COUNT(node(z0, z1), 0) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), 0, s(0))) COUNT(empty, 0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), 0, s(0))) COUNT(node(z0, z1), 0) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), 0, s(0))) COUNT(empty, 0) -> c8(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), 0, s(0))) COUNT(node(z0, z1), 0) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), 0, s(0))) COUNT(node(z0, z1), 0) -> c8(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), 0, s(0))) COUNT(x0, s(0)) -> c8(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(0), s(s(0)))) COUNT(x0, s(s(z0))) -> c8(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(s(z0)), s(s(inc(z0))))) COUNT(empty, s(x1)) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), s(x1), s(inc(x1)))) COUNT(node(z0, z1), s(x1)) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), s(x1), s(inc(x1)))) COUNT(empty, s(x1)) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), s(x1), s(inc(x1)))) COUNT(node(z0, z1), s(x1)) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), s(x1), s(inc(x1)))) COUNT(empty, s(x1)) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), s(x1), s(inc(x1)))) COUNT(node(z0, z1), s(x1)) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1)))) COUNT(empty, s(x1)) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), s(x1), s(inc(x1)))) COUNT(node(z0, z1), s(x1)) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1)))) COUNT(empty, s(x1)) -> c8(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), s(x1), s(inc(x1)))) COUNT(node(z0, z1), s(x1)) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1)))) COUNT(node(z0, z1), s(x1)) -> c8(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1)))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), empty)), x0, inc(x0))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), empty)), x0, inc(x0))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), empty)), x0, inc(x0))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x0, inc(x0))) COUNT(node(z0, z1), x2) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), z1)), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), z1)), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c8(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x2, inc(x2))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(empty, right(empty))), x0, inc(x0))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(empty), right(empty))), x0, inc(x0))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(empty), right(empty))), x0, inc(x0))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x0, inc(x0))) COUNT(node(node(z0, z1), x1), x2) -> c8(IF(isEmpty(node(node(z0, z1), x1)), isEmpty(left(node(node(z0, z1), x1))), right(node(node(z0, z1), x1)), node(left(left(node(node(z0, z1), x1))), node(z1, right(node(node(z0, z1), x1)))), x2, inc(x2))) COUNT(node(empty, x1), x2) -> c8(IF(isEmpty(node(empty, x1)), isEmpty(left(node(empty, x1))), right(node(empty, x1)), node(left(left(node(empty, x1))), node(empty, right(node(empty, x1)))), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(z0), right(node(z0, z1)))), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c8(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x2, inc(x2))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(empty, node(right(left(empty)), right(empty))), x0, inc(x0))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(empty), node(right(left(empty)), right(empty))), x0, inc(x0))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x0, inc(x0))) COUNT(node(node(z0, z1), x1), x2) -> c8(IF(isEmpty(node(node(z0, z1), x1)), isEmpty(left(node(node(z0, z1), x1))), right(node(node(z0, z1), x1)), node(z0, node(right(left(node(node(z0, z1), x1))), right(node(node(z0, z1), x1)))), x2, inc(x2))) COUNT(node(empty, x1), x2) -> c8(IF(isEmpty(node(empty, x1)), isEmpty(left(node(empty, x1))), right(node(empty, x1)), node(empty, node(right(left(node(empty, x1))), right(node(empty, x1)))), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c8(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), isEmpty(empty), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x0, inc(x0))) COUNT(node(z0, z1), x2) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(z0), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c8(IF(false, isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), true, right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x0, inc(x0))) COUNT(node(node(z0, z1), x1), x2) -> c8(IF(isEmpty(node(node(z0, z1), x1)), false, right(node(node(z0, z1), x1)), node(left(left(node(node(z0, z1), x1))), node(right(left(node(node(z0, z1), x1))), right(node(node(z0, z1), x1)))), x2, inc(x2))) COUNT(node(empty, x1), x2) -> c8(IF(isEmpty(node(empty, x1)), true, right(node(empty, x1)), node(left(left(node(empty, x1))), node(right(left(node(empty, x1))), right(node(empty, x1)))), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c8(IF(false, isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2))) COUNT(empty, 0) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), 0, s(0))) COUNT(node(z0, z1), 0) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), 0, s(0))) COUNT(empty, 0) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), 0, s(0))) COUNT(node(z0, z1), 0) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), 0, s(0))) COUNT(empty, 0) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), 0, s(0))) COUNT(node(z0, z1), 0) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), 0, s(0))) COUNT(empty, 0) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), 0, s(0))) COUNT(node(z0, z1), 0) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), 0, s(0))) COUNT(empty, 0) -> c9(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), 0, s(0))) COUNT(node(z0, z1), 0) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), 0, s(0))) COUNT(node(z0, z1), 0) -> c9(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), 0, s(0))) COUNT(x0, s(0)) -> c9(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(0), s(s(0)))) COUNT(x0, s(s(z0))) -> c9(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(s(z0)), s(s(inc(z0))))) COUNT(empty, s(x1)) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), s(x1), s(inc(x1)))) COUNT(node(z0, z1), s(x1)) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), s(x1), s(inc(x1)))) COUNT(empty, s(x1)) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), s(x1), s(inc(x1)))) COUNT(node(z0, z1), s(x1)) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), s(x1), s(inc(x1)))) COUNT(empty, s(x1)) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), s(x1), s(inc(x1)))) COUNT(node(z0, z1), s(x1)) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1)))) COUNT(empty, s(x1)) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), s(x1), s(inc(x1)))) COUNT(node(z0, z1), s(x1)) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1)))) COUNT(empty, s(x1)) -> c9(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), s(x1), s(inc(x1)))) COUNT(node(z0, z1), s(x1)) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1)))) COUNT(node(z0, z1), s(x1)) -> c9(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1)))) COUNT(empty, x0) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), empty)), x0, inc(x0))) COUNT(empty, x0) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), empty)), x0, inc(x0))) COUNT(empty, x0) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), empty)), x0, inc(x0))) COUNT(empty, x0) -> c9(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x0, inc(x0))) COUNT(node(z0, z1), x2) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), z1)), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), z1)), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c9(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x2, inc(x2))) K tuples: COUNT(empty, x1) -> c14(INC(x1)) COUNT(x0, s(x1)) -> c14(INC(s(x1))) COUNT(empty, s(x1)) -> c14(INC(s(x1))) Defined Rule Symbols: isEmpty_1, left_1, right_1, inc_1 Defined Pair Symbols: INC_1, IF_6, COUNT_2 Compound Symbols: c7_1, c16_1, c17_1, c14_1, c9_1, c10_1, c11_1, c12_1, c13_1, c14_2, c8_1 ---------------------------------------- (211) CdtNarrowingProof (BOTH BOUNDS(ID, ID)) Use narrowing to replace COUNT(empty, x1) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1))) by COUNT(empty, 0) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), 0, s(0))) COUNT(empty, s(z0)) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), s(z0), s(inc(z0)))) COUNT(empty, x0) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), empty)), x0, inc(x0))) COUNT(empty, x0) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(empty, right(empty))), x0, inc(x0))) COUNT(empty, x0) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(empty), right(empty))), x0, inc(x0))) COUNT(empty, x0) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(empty), right(empty))), x0, inc(x0))) COUNT(empty, x0) -> c9(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x0, inc(x0))) COUNT(empty, x0) -> c9(IF(true, isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x0, inc(x0))) ---------------------------------------- (212) Obligation: Complexity Dependency Tuples Problem Rules: isEmpty(empty) -> true isEmpty(node(z0, z1)) -> false left(empty) -> empty left(node(z0, z1)) -> z0 right(empty) -> empty right(node(z0, z1)) -> z1 inc(0) -> s(0) inc(s(z0)) -> s(inc(z0)) Tuples: INC(s(z0)) -> c7(INC(z0)) IF(false, false, z0, z1, z2, z3) -> c16(COUNT(z1, z2)) IF(false, true, z0, z1, z2, z3) -> c17(COUNT(z0, z3)) COUNT(empty, x1) -> c14(INC(x1)) COUNT(node(z0, z1), x1) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c9(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c9(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, 0) -> c10(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(x0, s(z0)) -> c10(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0)))) COUNT(empty, x1) -> c10(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1))) COUNT(empty, x1) -> c10(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c10(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c10(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c10(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, 0) -> c11(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(x0, s(z0)) -> c11(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0)))) COUNT(empty, x1) -> c11(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1))) COUNT(empty, x1) -> c11(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c11(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c11(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c11(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, 0) -> c12(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(x0, s(z0)) -> c12(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0)))) COUNT(empty, x1) -> c12(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1))) COUNT(empty, x1) -> c12(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c12(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c12(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c12(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, 0) -> c13(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(x0, s(z0)) -> c13(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0)))) COUNT(empty, x1) -> c13(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1))) COUNT(empty, x1) -> c13(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c13(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c13(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c13(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, s(0)) -> c14(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(0), s(s(0))), INC(s(0))) COUNT(x0, s(s(z0))) -> c14(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(s(z0)), s(s(inc(z0)))), INC(s(s(z0)))) COUNT(empty, s(x1)) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), s(x1), s(inc(x1))), INC(s(x1))) COUNT(empty, s(x1)) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(empty, s(x1)) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(empty, s(x1)) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(empty, s(x1)) -> c14(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(x0, s(x1)) -> c14(INC(s(x1))) COUNT(empty, s(x1)) -> c14(INC(s(x1))) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), empty)), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), empty)), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), empty)), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x0, inc(x0)), INC(x0)) COUNT(empty, 0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), 0, s(0))) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), z1)), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), z1)), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x2, inc(x2)), INC(x2)) COUNT(node(x0, x1), 0) -> c14(IF(isEmpty(node(x0, x1)), isEmpty(left(node(x0, x1))), right(node(x0, x1)), node(left(left(node(x0, x1))), node(right(left(node(x0, x1))), x1)), 0, s(0))) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(empty, right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(empty), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(empty), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, 0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), 0, s(0))) COUNT(node(node(z0, z1), x1), x2) -> c14(IF(isEmpty(node(node(z0, z1), x1)), isEmpty(left(node(node(z0, z1), x1))), right(node(node(z0, z1), x1)), node(left(left(node(node(z0, z1), x1))), node(z1, right(node(node(z0, z1), x1)))), x2, inc(x2)), INC(x2)) COUNT(node(empty, x1), x2) -> c14(IF(isEmpty(node(empty, x1)), isEmpty(left(node(empty, x1))), right(node(empty, x1)), node(left(left(node(empty, x1))), node(empty, right(node(empty, x1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(z0), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(x0, x1), 0) -> c14(IF(isEmpty(node(x0, x1)), isEmpty(left(node(x0, x1))), right(node(x0, x1)), node(left(left(node(x0, x1))), node(right(x0), right(node(x0, x1)))), 0, s(0))) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(empty, node(right(left(empty)), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(empty), node(right(left(empty)), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, 0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), 0, s(0))) COUNT(node(node(z0, z1), x1), x2) -> c14(IF(isEmpty(node(node(z0, z1), x1)), isEmpty(left(node(node(z0, z1), x1))), right(node(node(z0, z1), x1)), node(z0, node(right(left(node(node(z0, z1), x1))), right(node(node(z0, z1), x1)))), x2, inc(x2)), INC(x2)) COUNT(node(empty, x1), x2) -> c14(IF(isEmpty(node(empty, x1)), isEmpty(left(node(empty, x1))), right(node(empty, x1)), node(empty, node(right(left(node(empty, x1))), right(node(empty, x1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(x0, x1), 0) -> c14(IF(isEmpty(node(x0, x1)), isEmpty(left(node(x0, x1))), right(node(x0, x1)), node(left(x0), node(right(left(node(x0, x1))), right(node(x0, x1)))), 0, s(0))) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(empty), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, 0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), 0, s(0))) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(z0), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(false, isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(x0, x1), 0) -> c14(IF(isEmpty(node(x0, x1)), isEmpty(left(node(x0, x1))), x1, node(left(left(node(x0, x1))), node(right(left(node(x0, x1))), right(node(x0, x1)))), 0, s(0))) COUNT(empty, x0) -> c14(IF(isEmpty(empty), true, right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, 0) -> c14(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), 0, s(0))) COUNT(node(node(z0, z1), x1), x2) -> c14(IF(isEmpty(node(node(z0, z1), x1)), false, right(node(node(z0, z1), x1)), node(left(left(node(node(z0, z1), x1))), node(right(left(node(node(z0, z1), x1))), right(node(node(z0, z1), x1)))), x2, inc(x2)), INC(x2)) COUNT(node(empty, x1), x2) -> c14(IF(isEmpty(node(empty, x1)), true, right(node(empty, x1)), node(left(left(node(empty, x1))), node(right(left(node(empty, x1))), right(node(empty, x1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(false, isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(x0, x1), 0) -> c14(IF(isEmpty(node(x0, x1)), isEmpty(x0), right(node(x0, x1)), node(left(left(node(x0, x1))), node(right(left(node(x0, x1))), right(node(x0, x1)))), 0, s(0))) COUNT(node(x0, x1), 0) -> c14(IF(false, isEmpty(left(node(x0, x1))), right(node(x0, x1)), node(left(left(node(x0, x1))), node(right(left(node(x0, x1))), right(node(x0, x1)))), 0, s(0))) COUNT(empty, 0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), 0, s(0))) COUNT(node(z0, z1), 0) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), 0, s(0))) COUNT(empty, 0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), 0, s(0))) COUNT(node(z0, z1), 0) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), 0, s(0))) COUNT(empty, 0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), 0, s(0))) COUNT(node(z0, z1), 0) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), 0, s(0))) COUNT(empty, 0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), 0, s(0))) COUNT(node(z0, z1), 0) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), 0, s(0))) COUNT(empty, 0) -> c8(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), 0, s(0))) COUNT(node(z0, z1), 0) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), 0, s(0))) COUNT(node(z0, z1), 0) -> c8(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), 0, s(0))) COUNT(x0, s(0)) -> c8(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(0), s(s(0)))) COUNT(x0, s(s(z0))) -> c8(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(s(z0)), s(s(inc(z0))))) COUNT(empty, s(x1)) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), s(x1), s(inc(x1)))) COUNT(node(z0, z1), s(x1)) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), s(x1), s(inc(x1)))) COUNT(empty, s(x1)) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), s(x1), s(inc(x1)))) COUNT(node(z0, z1), s(x1)) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), s(x1), s(inc(x1)))) COUNT(empty, s(x1)) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), s(x1), s(inc(x1)))) COUNT(node(z0, z1), s(x1)) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1)))) COUNT(empty, s(x1)) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), s(x1), s(inc(x1)))) COUNT(node(z0, z1), s(x1)) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1)))) COUNT(empty, s(x1)) -> c8(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), s(x1), s(inc(x1)))) COUNT(node(z0, z1), s(x1)) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1)))) COUNT(node(z0, z1), s(x1)) -> c8(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1)))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), empty)), x0, inc(x0))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), empty)), x0, inc(x0))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), empty)), x0, inc(x0))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x0, inc(x0))) COUNT(node(z0, z1), x2) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), z1)), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), z1)), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c8(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x2, inc(x2))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(empty, right(empty))), x0, inc(x0))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(empty), right(empty))), x0, inc(x0))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(empty), right(empty))), x0, inc(x0))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x0, inc(x0))) COUNT(node(node(z0, z1), x1), x2) -> c8(IF(isEmpty(node(node(z0, z1), x1)), isEmpty(left(node(node(z0, z1), x1))), right(node(node(z0, z1), x1)), node(left(left(node(node(z0, z1), x1))), node(z1, right(node(node(z0, z1), x1)))), x2, inc(x2))) COUNT(node(empty, x1), x2) -> c8(IF(isEmpty(node(empty, x1)), isEmpty(left(node(empty, x1))), right(node(empty, x1)), node(left(left(node(empty, x1))), node(empty, right(node(empty, x1)))), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(z0), right(node(z0, z1)))), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c8(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x2, inc(x2))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(empty, node(right(left(empty)), right(empty))), x0, inc(x0))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(empty), node(right(left(empty)), right(empty))), x0, inc(x0))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x0, inc(x0))) COUNT(node(node(z0, z1), x1), x2) -> c8(IF(isEmpty(node(node(z0, z1), x1)), isEmpty(left(node(node(z0, z1), x1))), right(node(node(z0, z1), x1)), node(z0, node(right(left(node(node(z0, z1), x1))), right(node(node(z0, z1), x1)))), x2, inc(x2))) COUNT(node(empty, x1), x2) -> c8(IF(isEmpty(node(empty, x1)), isEmpty(left(node(empty, x1))), right(node(empty, x1)), node(empty, node(right(left(node(empty, x1))), right(node(empty, x1)))), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c8(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), isEmpty(empty), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x0, inc(x0))) COUNT(node(z0, z1), x2) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(z0), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c8(IF(false, isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), true, right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x0, inc(x0))) COUNT(node(node(z0, z1), x1), x2) -> c8(IF(isEmpty(node(node(z0, z1), x1)), false, right(node(node(z0, z1), x1)), node(left(left(node(node(z0, z1), x1))), node(right(left(node(node(z0, z1), x1))), right(node(node(z0, z1), x1)))), x2, inc(x2))) COUNT(node(empty, x1), x2) -> c8(IF(isEmpty(node(empty, x1)), true, right(node(empty, x1)), node(left(left(node(empty, x1))), node(right(left(node(empty, x1))), right(node(empty, x1)))), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c8(IF(false, isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2))) COUNT(empty, 0) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), 0, s(0))) COUNT(node(z0, z1), 0) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), 0, s(0))) COUNT(empty, 0) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), 0, s(0))) COUNT(node(z0, z1), 0) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), 0, s(0))) COUNT(empty, 0) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), 0, s(0))) COUNT(node(z0, z1), 0) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), 0, s(0))) COUNT(empty, 0) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), 0, s(0))) COUNT(node(z0, z1), 0) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), 0, s(0))) COUNT(empty, 0) -> c9(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), 0, s(0))) COUNT(node(z0, z1), 0) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), 0, s(0))) COUNT(node(z0, z1), 0) -> c9(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), 0, s(0))) COUNT(x0, s(0)) -> c9(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(0), s(s(0)))) COUNT(x0, s(s(z0))) -> c9(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(s(z0)), s(s(inc(z0))))) COUNT(empty, s(x1)) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), s(x1), s(inc(x1)))) COUNT(node(z0, z1), s(x1)) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), s(x1), s(inc(x1)))) COUNT(empty, s(x1)) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), s(x1), s(inc(x1)))) COUNT(node(z0, z1), s(x1)) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), s(x1), s(inc(x1)))) COUNT(empty, s(x1)) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), s(x1), s(inc(x1)))) COUNT(node(z0, z1), s(x1)) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1)))) COUNT(empty, s(x1)) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), s(x1), s(inc(x1)))) COUNT(node(z0, z1), s(x1)) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1)))) COUNT(empty, s(x1)) -> c9(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), s(x1), s(inc(x1)))) COUNT(node(z0, z1), s(x1)) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1)))) COUNT(node(z0, z1), s(x1)) -> c9(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1)))) COUNT(empty, x0) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), empty)), x0, inc(x0))) COUNT(empty, x0) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), empty)), x0, inc(x0))) COUNT(empty, x0) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), empty)), x0, inc(x0))) COUNT(empty, x0) -> c9(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x0, inc(x0))) COUNT(node(z0, z1), x2) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), z1)), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), z1)), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c9(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x2, inc(x2))) COUNT(empty, x0) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(empty, right(empty))), x0, inc(x0))) COUNT(empty, x0) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(empty), right(empty))), x0, inc(x0))) COUNT(empty, x0) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(empty), right(empty))), x0, inc(x0))) COUNT(empty, x0) -> c9(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x0, inc(x0))) COUNT(empty, x0) -> c9(IF(true, isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x0, inc(x0))) S tuples: INC(s(z0)) -> c7(INC(z0)) IF(false, false, z0, z1, z2, z3) -> c16(COUNT(z1, z2)) IF(false, true, z0, z1, z2, z3) -> c17(COUNT(z0, z3)) COUNT(node(z0, z1), x1) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c9(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c9(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, 0) -> c10(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(x0, s(z0)) -> c10(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0)))) COUNT(empty, x1) -> c10(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1))) COUNT(empty, x1) -> c10(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c10(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c10(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c10(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, 0) -> c11(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(x0, s(z0)) -> c11(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0)))) COUNT(empty, x1) -> c11(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1))) COUNT(empty, x1) -> c11(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c11(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c11(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c11(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, 0) -> c12(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(x0, s(z0)) -> c12(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0)))) COUNT(empty, x1) -> c12(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1))) COUNT(empty, x1) -> c12(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c12(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c12(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c12(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, 0) -> c13(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(x0, s(z0)) -> c13(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0)))) COUNT(empty, x1) -> c13(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1))) COUNT(empty, x1) -> c13(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c13(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c13(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c13(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, s(0)) -> c14(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(0), s(s(0))), INC(s(0))) COUNT(x0, s(s(z0))) -> c14(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(s(z0)), s(s(inc(z0)))), INC(s(s(z0)))) COUNT(empty, s(x1)) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), s(x1), s(inc(x1))), INC(s(x1))) COUNT(empty, s(x1)) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(empty, s(x1)) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(empty, s(x1)) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(empty, s(x1)) -> c14(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), empty)), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), empty)), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), empty)), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x0, inc(x0)), INC(x0)) COUNT(empty, 0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), 0, s(0))) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), z1)), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), z1)), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x2, inc(x2)), INC(x2)) COUNT(node(x0, x1), 0) -> c14(IF(isEmpty(node(x0, x1)), isEmpty(left(node(x0, x1))), right(node(x0, x1)), node(left(left(node(x0, x1))), node(right(left(node(x0, x1))), x1)), 0, s(0))) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(empty, right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(empty), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(empty), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, 0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), 0, s(0))) COUNT(node(node(z0, z1), x1), x2) -> c14(IF(isEmpty(node(node(z0, z1), x1)), isEmpty(left(node(node(z0, z1), x1))), right(node(node(z0, z1), x1)), node(left(left(node(node(z0, z1), x1))), node(z1, right(node(node(z0, z1), x1)))), x2, inc(x2)), INC(x2)) COUNT(node(empty, x1), x2) -> c14(IF(isEmpty(node(empty, x1)), isEmpty(left(node(empty, x1))), right(node(empty, x1)), node(left(left(node(empty, x1))), node(empty, right(node(empty, x1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(z0), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(x0, x1), 0) -> c14(IF(isEmpty(node(x0, x1)), isEmpty(left(node(x0, x1))), right(node(x0, x1)), node(left(left(node(x0, x1))), node(right(x0), right(node(x0, x1)))), 0, s(0))) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(empty, node(right(left(empty)), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(empty), node(right(left(empty)), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, 0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), 0, s(0))) COUNT(node(node(z0, z1), x1), x2) -> c14(IF(isEmpty(node(node(z0, z1), x1)), isEmpty(left(node(node(z0, z1), x1))), right(node(node(z0, z1), x1)), node(z0, node(right(left(node(node(z0, z1), x1))), right(node(node(z0, z1), x1)))), x2, inc(x2)), INC(x2)) COUNT(node(empty, x1), x2) -> c14(IF(isEmpty(node(empty, x1)), isEmpty(left(node(empty, x1))), right(node(empty, x1)), node(empty, node(right(left(node(empty, x1))), right(node(empty, x1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(x0, x1), 0) -> c14(IF(isEmpty(node(x0, x1)), isEmpty(left(node(x0, x1))), right(node(x0, x1)), node(left(x0), node(right(left(node(x0, x1))), right(node(x0, x1)))), 0, s(0))) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(empty), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, 0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), 0, s(0))) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(z0), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(false, isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(x0, x1), 0) -> c14(IF(isEmpty(node(x0, x1)), isEmpty(left(node(x0, x1))), x1, node(left(left(node(x0, x1))), node(right(left(node(x0, x1))), right(node(x0, x1)))), 0, s(0))) COUNT(empty, x0) -> c14(IF(isEmpty(empty), true, right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, 0) -> c14(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), 0, s(0))) COUNT(node(node(z0, z1), x1), x2) -> c14(IF(isEmpty(node(node(z0, z1), x1)), false, right(node(node(z0, z1), x1)), node(left(left(node(node(z0, z1), x1))), node(right(left(node(node(z0, z1), x1))), right(node(node(z0, z1), x1)))), x2, inc(x2)), INC(x2)) COUNT(node(empty, x1), x2) -> c14(IF(isEmpty(node(empty, x1)), true, right(node(empty, x1)), node(left(left(node(empty, x1))), node(right(left(node(empty, x1))), right(node(empty, x1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(false, isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(x0, x1), 0) -> c14(IF(isEmpty(node(x0, x1)), isEmpty(x0), right(node(x0, x1)), node(left(left(node(x0, x1))), node(right(left(node(x0, x1))), right(node(x0, x1)))), 0, s(0))) COUNT(node(x0, x1), 0) -> c14(IF(false, isEmpty(left(node(x0, x1))), right(node(x0, x1)), node(left(left(node(x0, x1))), node(right(left(node(x0, x1))), right(node(x0, x1)))), 0, s(0))) COUNT(empty, 0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), 0, s(0))) COUNT(node(z0, z1), 0) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), 0, s(0))) COUNT(empty, 0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), 0, s(0))) COUNT(node(z0, z1), 0) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), 0, s(0))) COUNT(empty, 0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), 0, s(0))) COUNT(node(z0, z1), 0) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), 0, s(0))) COUNT(empty, 0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), 0, s(0))) COUNT(node(z0, z1), 0) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), 0, s(0))) COUNT(empty, 0) -> c8(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), 0, s(0))) COUNT(node(z0, z1), 0) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), 0, s(0))) COUNT(node(z0, z1), 0) -> c8(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), 0, s(0))) COUNT(x0, s(0)) -> c8(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(0), s(s(0)))) COUNT(x0, s(s(z0))) -> c8(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(s(z0)), s(s(inc(z0))))) COUNT(empty, s(x1)) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), s(x1), s(inc(x1)))) COUNT(node(z0, z1), s(x1)) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), s(x1), s(inc(x1)))) COUNT(empty, s(x1)) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), s(x1), s(inc(x1)))) COUNT(node(z0, z1), s(x1)) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), s(x1), s(inc(x1)))) COUNT(empty, s(x1)) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), s(x1), s(inc(x1)))) COUNT(node(z0, z1), s(x1)) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1)))) COUNT(empty, s(x1)) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), s(x1), s(inc(x1)))) COUNT(node(z0, z1), s(x1)) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1)))) COUNT(empty, s(x1)) -> c8(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), s(x1), s(inc(x1)))) COUNT(node(z0, z1), s(x1)) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1)))) COUNT(node(z0, z1), s(x1)) -> c8(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1)))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), empty)), x0, inc(x0))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), empty)), x0, inc(x0))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), empty)), x0, inc(x0))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x0, inc(x0))) COUNT(node(z0, z1), x2) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), z1)), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), z1)), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c8(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x2, inc(x2))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(empty, right(empty))), x0, inc(x0))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(empty), right(empty))), x0, inc(x0))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(empty), right(empty))), x0, inc(x0))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x0, inc(x0))) COUNT(node(node(z0, z1), x1), x2) -> c8(IF(isEmpty(node(node(z0, z1), x1)), isEmpty(left(node(node(z0, z1), x1))), right(node(node(z0, z1), x1)), node(left(left(node(node(z0, z1), x1))), node(z1, right(node(node(z0, z1), x1)))), x2, inc(x2))) COUNT(node(empty, x1), x2) -> c8(IF(isEmpty(node(empty, x1)), isEmpty(left(node(empty, x1))), right(node(empty, x1)), node(left(left(node(empty, x1))), node(empty, right(node(empty, x1)))), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(z0), right(node(z0, z1)))), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c8(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x2, inc(x2))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(empty, node(right(left(empty)), right(empty))), x0, inc(x0))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(empty), node(right(left(empty)), right(empty))), x0, inc(x0))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x0, inc(x0))) COUNT(node(node(z0, z1), x1), x2) -> c8(IF(isEmpty(node(node(z0, z1), x1)), isEmpty(left(node(node(z0, z1), x1))), right(node(node(z0, z1), x1)), node(z0, node(right(left(node(node(z0, z1), x1))), right(node(node(z0, z1), x1)))), x2, inc(x2))) COUNT(node(empty, x1), x2) -> c8(IF(isEmpty(node(empty, x1)), isEmpty(left(node(empty, x1))), right(node(empty, x1)), node(empty, node(right(left(node(empty, x1))), right(node(empty, x1)))), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c8(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), isEmpty(empty), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x0, inc(x0))) COUNT(node(z0, z1), x2) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(z0), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c8(IF(false, isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), true, right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x0, inc(x0))) COUNT(node(node(z0, z1), x1), x2) -> c8(IF(isEmpty(node(node(z0, z1), x1)), false, right(node(node(z0, z1), x1)), node(left(left(node(node(z0, z1), x1))), node(right(left(node(node(z0, z1), x1))), right(node(node(z0, z1), x1)))), x2, inc(x2))) COUNT(node(empty, x1), x2) -> c8(IF(isEmpty(node(empty, x1)), true, right(node(empty, x1)), node(left(left(node(empty, x1))), node(right(left(node(empty, x1))), right(node(empty, x1)))), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c8(IF(false, isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2))) COUNT(empty, 0) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), 0, s(0))) COUNT(node(z0, z1), 0) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), 0, s(0))) COUNT(empty, 0) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), 0, s(0))) COUNT(node(z0, z1), 0) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), 0, s(0))) COUNT(empty, 0) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), 0, s(0))) COUNT(node(z0, z1), 0) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), 0, s(0))) COUNT(empty, 0) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), 0, s(0))) COUNT(node(z0, z1), 0) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), 0, s(0))) COUNT(empty, 0) -> c9(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), 0, s(0))) COUNT(node(z0, z1), 0) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), 0, s(0))) COUNT(node(z0, z1), 0) -> c9(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), 0, s(0))) COUNT(x0, s(0)) -> c9(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(0), s(s(0)))) COUNT(x0, s(s(z0))) -> c9(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(s(z0)), s(s(inc(z0))))) COUNT(empty, s(x1)) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), s(x1), s(inc(x1)))) COUNT(node(z0, z1), s(x1)) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), s(x1), s(inc(x1)))) COUNT(empty, s(x1)) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), s(x1), s(inc(x1)))) COUNT(node(z0, z1), s(x1)) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), s(x1), s(inc(x1)))) COUNT(empty, s(x1)) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), s(x1), s(inc(x1)))) COUNT(node(z0, z1), s(x1)) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1)))) COUNT(empty, s(x1)) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), s(x1), s(inc(x1)))) COUNT(node(z0, z1), s(x1)) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1)))) COUNT(empty, s(x1)) -> c9(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), s(x1), s(inc(x1)))) COUNT(node(z0, z1), s(x1)) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1)))) COUNT(node(z0, z1), s(x1)) -> c9(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1)))) COUNT(empty, x0) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), empty)), x0, inc(x0))) COUNT(empty, x0) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), empty)), x0, inc(x0))) COUNT(empty, x0) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), empty)), x0, inc(x0))) COUNT(empty, x0) -> c9(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x0, inc(x0))) COUNT(node(z0, z1), x2) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), z1)), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), z1)), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c9(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x2, inc(x2))) COUNT(empty, x0) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(empty, right(empty))), x0, inc(x0))) COUNT(empty, x0) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(empty), right(empty))), x0, inc(x0))) COUNT(empty, x0) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(empty), right(empty))), x0, inc(x0))) COUNT(empty, x0) -> c9(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x0, inc(x0))) COUNT(empty, x0) -> c9(IF(true, isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x0, inc(x0))) K tuples: COUNT(empty, x1) -> c14(INC(x1)) COUNT(x0, s(x1)) -> c14(INC(s(x1))) COUNT(empty, s(x1)) -> c14(INC(s(x1))) Defined Rule Symbols: isEmpty_1, left_1, right_1, inc_1 Defined Pair Symbols: INC_1, IF_6, COUNT_2 Compound Symbols: c7_1, c16_1, c17_1, c14_1, c9_1, c10_1, c11_1, c12_1, c13_1, c14_2, c8_1 ---------------------------------------- (213) CdtLeafRemovalProof (BOTH BOUNDS(ID, ID)) Removed 1 trailing nodes: COUNT(empty, x0) -> c9(IF(true, isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x0, inc(x0))) ---------------------------------------- (214) Obligation: Complexity Dependency Tuples Problem Rules: isEmpty(empty) -> true isEmpty(node(z0, z1)) -> false left(empty) -> empty left(node(z0, z1)) -> z0 right(empty) -> empty right(node(z0, z1)) -> z1 inc(0) -> s(0) inc(s(z0)) -> s(inc(z0)) Tuples: INC(s(z0)) -> c7(INC(z0)) IF(false, false, z0, z1, z2, z3) -> c16(COUNT(z1, z2)) IF(false, true, z0, z1, z2, z3) -> c17(COUNT(z0, z3)) COUNT(empty, x1) -> c14(INC(x1)) COUNT(node(z0, z1), x1) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c9(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c9(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, 0) -> c10(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(x0, s(z0)) -> c10(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0)))) COUNT(empty, x1) -> c10(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1))) COUNT(empty, x1) -> c10(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c10(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c10(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c10(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, 0) -> c11(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(x0, s(z0)) -> c11(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0)))) COUNT(empty, x1) -> c11(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1))) COUNT(empty, x1) -> c11(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c11(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c11(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c11(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, 0) -> c12(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(x0, s(z0)) -> c12(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0)))) COUNT(empty, x1) -> c12(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1))) COUNT(empty, x1) -> c12(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c12(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c12(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c12(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, 0) -> c13(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(x0, s(z0)) -> c13(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0)))) COUNT(empty, x1) -> c13(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1))) COUNT(empty, x1) -> c13(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c13(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c13(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c13(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, s(0)) -> c14(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(0), s(s(0))), INC(s(0))) COUNT(x0, s(s(z0))) -> c14(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(s(z0)), s(s(inc(z0)))), INC(s(s(z0)))) COUNT(empty, s(x1)) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), s(x1), s(inc(x1))), INC(s(x1))) COUNT(empty, s(x1)) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(empty, s(x1)) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(empty, s(x1)) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(empty, s(x1)) -> c14(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(x0, s(x1)) -> c14(INC(s(x1))) COUNT(empty, s(x1)) -> c14(INC(s(x1))) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), empty)), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), empty)), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), empty)), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x0, inc(x0)), INC(x0)) COUNT(empty, 0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), 0, s(0))) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), z1)), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), z1)), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x2, inc(x2)), INC(x2)) COUNT(node(x0, x1), 0) -> c14(IF(isEmpty(node(x0, x1)), isEmpty(left(node(x0, x1))), right(node(x0, x1)), node(left(left(node(x0, x1))), node(right(left(node(x0, x1))), x1)), 0, s(0))) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(empty, right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(empty), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(empty), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, 0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), 0, s(0))) COUNT(node(node(z0, z1), x1), x2) -> c14(IF(isEmpty(node(node(z0, z1), x1)), isEmpty(left(node(node(z0, z1), x1))), right(node(node(z0, z1), x1)), node(left(left(node(node(z0, z1), x1))), node(z1, right(node(node(z0, z1), x1)))), x2, inc(x2)), INC(x2)) COUNT(node(empty, x1), x2) -> c14(IF(isEmpty(node(empty, x1)), isEmpty(left(node(empty, x1))), right(node(empty, x1)), node(left(left(node(empty, x1))), node(empty, right(node(empty, x1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(z0), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(x0, x1), 0) -> c14(IF(isEmpty(node(x0, x1)), isEmpty(left(node(x0, x1))), right(node(x0, x1)), node(left(left(node(x0, x1))), node(right(x0), right(node(x0, x1)))), 0, s(0))) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(empty, node(right(left(empty)), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(empty), node(right(left(empty)), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, 0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), 0, s(0))) COUNT(node(node(z0, z1), x1), x2) -> c14(IF(isEmpty(node(node(z0, z1), x1)), isEmpty(left(node(node(z0, z1), x1))), right(node(node(z0, z1), x1)), node(z0, node(right(left(node(node(z0, z1), x1))), right(node(node(z0, z1), x1)))), x2, inc(x2)), INC(x2)) COUNT(node(empty, x1), x2) -> c14(IF(isEmpty(node(empty, x1)), isEmpty(left(node(empty, x1))), right(node(empty, x1)), node(empty, node(right(left(node(empty, x1))), right(node(empty, x1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(x0, x1), 0) -> c14(IF(isEmpty(node(x0, x1)), isEmpty(left(node(x0, x1))), right(node(x0, x1)), node(left(x0), node(right(left(node(x0, x1))), right(node(x0, x1)))), 0, s(0))) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(empty), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, 0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), 0, s(0))) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(z0), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(false, isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(x0, x1), 0) -> c14(IF(isEmpty(node(x0, x1)), isEmpty(left(node(x0, x1))), x1, node(left(left(node(x0, x1))), node(right(left(node(x0, x1))), right(node(x0, x1)))), 0, s(0))) COUNT(empty, x0) -> c14(IF(isEmpty(empty), true, right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, 0) -> c14(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), 0, s(0))) COUNT(node(node(z0, z1), x1), x2) -> c14(IF(isEmpty(node(node(z0, z1), x1)), false, right(node(node(z0, z1), x1)), node(left(left(node(node(z0, z1), x1))), node(right(left(node(node(z0, z1), x1))), right(node(node(z0, z1), x1)))), x2, inc(x2)), INC(x2)) COUNT(node(empty, x1), x2) -> c14(IF(isEmpty(node(empty, x1)), true, right(node(empty, x1)), node(left(left(node(empty, x1))), node(right(left(node(empty, x1))), right(node(empty, x1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(false, isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(x0, x1), 0) -> c14(IF(isEmpty(node(x0, x1)), isEmpty(x0), right(node(x0, x1)), node(left(left(node(x0, x1))), node(right(left(node(x0, x1))), right(node(x0, x1)))), 0, s(0))) COUNT(node(x0, x1), 0) -> c14(IF(false, isEmpty(left(node(x0, x1))), right(node(x0, x1)), node(left(left(node(x0, x1))), node(right(left(node(x0, x1))), right(node(x0, x1)))), 0, s(0))) COUNT(empty, 0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), 0, s(0))) COUNT(node(z0, z1), 0) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), 0, s(0))) COUNT(empty, 0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), 0, s(0))) COUNT(node(z0, z1), 0) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), 0, s(0))) COUNT(empty, 0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), 0, s(0))) COUNT(node(z0, z1), 0) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), 0, s(0))) COUNT(empty, 0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), 0, s(0))) COUNT(node(z0, z1), 0) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), 0, s(0))) COUNT(empty, 0) -> c8(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), 0, s(0))) COUNT(node(z0, z1), 0) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), 0, s(0))) COUNT(node(z0, z1), 0) -> c8(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), 0, s(0))) COUNT(x0, s(0)) -> c8(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(0), s(s(0)))) COUNT(x0, s(s(z0))) -> c8(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(s(z0)), s(s(inc(z0))))) COUNT(empty, s(x1)) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), s(x1), s(inc(x1)))) COUNT(node(z0, z1), s(x1)) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), s(x1), s(inc(x1)))) COUNT(empty, s(x1)) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), s(x1), s(inc(x1)))) COUNT(node(z0, z1), s(x1)) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), s(x1), s(inc(x1)))) COUNT(empty, s(x1)) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), s(x1), s(inc(x1)))) COUNT(node(z0, z1), s(x1)) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1)))) COUNT(empty, s(x1)) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), s(x1), s(inc(x1)))) COUNT(node(z0, z1), s(x1)) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1)))) COUNT(empty, s(x1)) -> c8(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), s(x1), s(inc(x1)))) COUNT(node(z0, z1), s(x1)) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1)))) COUNT(node(z0, z1), s(x1)) -> c8(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1)))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), empty)), x0, inc(x0))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), empty)), x0, inc(x0))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), empty)), x0, inc(x0))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x0, inc(x0))) COUNT(node(z0, z1), x2) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), z1)), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), z1)), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c8(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x2, inc(x2))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(empty, right(empty))), x0, inc(x0))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(empty), right(empty))), x0, inc(x0))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(empty), right(empty))), x0, inc(x0))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x0, inc(x0))) COUNT(node(node(z0, z1), x1), x2) -> c8(IF(isEmpty(node(node(z0, z1), x1)), isEmpty(left(node(node(z0, z1), x1))), right(node(node(z0, z1), x1)), node(left(left(node(node(z0, z1), x1))), node(z1, right(node(node(z0, z1), x1)))), x2, inc(x2))) COUNT(node(empty, x1), x2) -> c8(IF(isEmpty(node(empty, x1)), isEmpty(left(node(empty, x1))), right(node(empty, x1)), node(left(left(node(empty, x1))), node(empty, right(node(empty, x1)))), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(z0), right(node(z0, z1)))), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c8(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x2, inc(x2))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(empty, node(right(left(empty)), right(empty))), x0, inc(x0))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(empty), node(right(left(empty)), right(empty))), x0, inc(x0))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x0, inc(x0))) COUNT(node(node(z0, z1), x1), x2) -> c8(IF(isEmpty(node(node(z0, z1), x1)), isEmpty(left(node(node(z0, z1), x1))), right(node(node(z0, z1), x1)), node(z0, node(right(left(node(node(z0, z1), x1))), right(node(node(z0, z1), x1)))), x2, inc(x2))) COUNT(node(empty, x1), x2) -> c8(IF(isEmpty(node(empty, x1)), isEmpty(left(node(empty, x1))), right(node(empty, x1)), node(empty, node(right(left(node(empty, x1))), right(node(empty, x1)))), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c8(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), isEmpty(empty), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x0, inc(x0))) COUNT(node(z0, z1), x2) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(z0), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c8(IF(false, isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), true, right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x0, inc(x0))) COUNT(node(node(z0, z1), x1), x2) -> c8(IF(isEmpty(node(node(z0, z1), x1)), false, right(node(node(z0, z1), x1)), node(left(left(node(node(z0, z1), x1))), node(right(left(node(node(z0, z1), x1))), right(node(node(z0, z1), x1)))), x2, inc(x2))) COUNT(node(empty, x1), x2) -> c8(IF(isEmpty(node(empty, x1)), true, right(node(empty, x1)), node(left(left(node(empty, x1))), node(right(left(node(empty, x1))), right(node(empty, x1)))), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c8(IF(false, isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2))) COUNT(empty, 0) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), 0, s(0))) COUNT(node(z0, z1), 0) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), 0, s(0))) COUNT(empty, 0) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), 0, s(0))) COUNT(node(z0, z1), 0) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), 0, s(0))) COUNT(empty, 0) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), 0, s(0))) COUNT(node(z0, z1), 0) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), 0, s(0))) COUNT(empty, 0) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), 0, s(0))) COUNT(node(z0, z1), 0) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), 0, s(0))) COUNT(empty, 0) -> c9(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), 0, s(0))) COUNT(node(z0, z1), 0) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), 0, s(0))) COUNT(node(z0, z1), 0) -> c9(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), 0, s(0))) COUNT(x0, s(0)) -> c9(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(0), s(s(0)))) COUNT(x0, s(s(z0))) -> c9(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(s(z0)), s(s(inc(z0))))) COUNT(empty, s(x1)) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), s(x1), s(inc(x1)))) COUNT(node(z0, z1), s(x1)) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), s(x1), s(inc(x1)))) COUNT(empty, s(x1)) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), s(x1), s(inc(x1)))) COUNT(node(z0, z1), s(x1)) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), s(x1), s(inc(x1)))) COUNT(empty, s(x1)) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), s(x1), s(inc(x1)))) COUNT(node(z0, z1), s(x1)) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1)))) COUNT(empty, s(x1)) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), s(x1), s(inc(x1)))) COUNT(node(z0, z1), s(x1)) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1)))) COUNT(empty, s(x1)) -> c9(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), s(x1), s(inc(x1)))) COUNT(node(z0, z1), s(x1)) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1)))) COUNT(node(z0, z1), s(x1)) -> c9(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1)))) COUNT(empty, x0) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), empty)), x0, inc(x0))) COUNT(empty, x0) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), empty)), x0, inc(x0))) COUNT(empty, x0) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), empty)), x0, inc(x0))) COUNT(empty, x0) -> c9(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x0, inc(x0))) COUNT(node(z0, z1), x2) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), z1)), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), z1)), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c9(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x2, inc(x2))) COUNT(empty, x0) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(empty, right(empty))), x0, inc(x0))) COUNT(empty, x0) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(empty), right(empty))), x0, inc(x0))) COUNT(empty, x0) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(empty), right(empty))), x0, inc(x0))) COUNT(empty, x0) -> c9(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x0, inc(x0))) S tuples: INC(s(z0)) -> c7(INC(z0)) IF(false, false, z0, z1, z2, z3) -> c16(COUNT(z1, z2)) IF(false, true, z0, z1, z2, z3) -> c17(COUNT(z0, z3)) COUNT(node(z0, z1), x1) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c9(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c9(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, 0) -> c10(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(x0, s(z0)) -> c10(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0)))) COUNT(empty, x1) -> c10(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1))) COUNT(empty, x1) -> c10(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c10(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c10(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c10(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, 0) -> c11(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(x0, s(z0)) -> c11(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0)))) COUNT(empty, x1) -> c11(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1))) COUNT(empty, x1) -> c11(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c11(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c11(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c11(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, 0) -> c12(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(x0, s(z0)) -> c12(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0)))) COUNT(empty, x1) -> c12(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1))) COUNT(empty, x1) -> c12(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c12(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c12(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c12(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, 0) -> c13(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(x0, s(z0)) -> c13(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0)))) COUNT(empty, x1) -> c13(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1))) COUNT(empty, x1) -> c13(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c13(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c13(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c13(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, s(0)) -> c14(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(0), s(s(0))), INC(s(0))) COUNT(x0, s(s(z0))) -> c14(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(s(z0)), s(s(inc(z0)))), INC(s(s(z0)))) COUNT(empty, s(x1)) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), s(x1), s(inc(x1))), INC(s(x1))) COUNT(empty, s(x1)) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(empty, s(x1)) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(empty, s(x1)) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(empty, s(x1)) -> c14(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), empty)), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), empty)), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), empty)), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x0, inc(x0)), INC(x0)) COUNT(empty, 0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), 0, s(0))) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), z1)), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), z1)), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x2, inc(x2)), INC(x2)) COUNT(node(x0, x1), 0) -> c14(IF(isEmpty(node(x0, x1)), isEmpty(left(node(x0, x1))), right(node(x0, x1)), node(left(left(node(x0, x1))), node(right(left(node(x0, x1))), x1)), 0, s(0))) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(empty, right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(empty), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(empty), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, 0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), 0, s(0))) COUNT(node(node(z0, z1), x1), x2) -> c14(IF(isEmpty(node(node(z0, z1), x1)), isEmpty(left(node(node(z0, z1), x1))), right(node(node(z0, z1), x1)), node(left(left(node(node(z0, z1), x1))), node(z1, right(node(node(z0, z1), x1)))), x2, inc(x2)), INC(x2)) COUNT(node(empty, x1), x2) -> c14(IF(isEmpty(node(empty, x1)), isEmpty(left(node(empty, x1))), right(node(empty, x1)), node(left(left(node(empty, x1))), node(empty, right(node(empty, x1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(z0), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(x0, x1), 0) -> c14(IF(isEmpty(node(x0, x1)), isEmpty(left(node(x0, x1))), right(node(x0, x1)), node(left(left(node(x0, x1))), node(right(x0), right(node(x0, x1)))), 0, s(0))) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(empty, node(right(left(empty)), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(empty), node(right(left(empty)), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, 0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), 0, s(0))) COUNT(node(node(z0, z1), x1), x2) -> c14(IF(isEmpty(node(node(z0, z1), x1)), isEmpty(left(node(node(z0, z1), x1))), right(node(node(z0, z1), x1)), node(z0, node(right(left(node(node(z0, z1), x1))), right(node(node(z0, z1), x1)))), x2, inc(x2)), INC(x2)) COUNT(node(empty, x1), x2) -> c14(IF(isEmpty(node(empty, x1)), isEmpty(left(node(empty, x1))), right(node(empty, x1)), node(empty, node(right(left(node(empty, x1))), right(node(empty, x1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(x0, x1), 0) -> c14(IF(isEmpty(node(x0, x1)), isEmpty(left(node(x0, x1))), right(node(x0, x1)), node(left(x0), node(right(left(node(x0, x1))), right(node(x0, x1)))), 0, s(0))) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(empty), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, 0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), 0, s(0))) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(z0), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(false, isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(x0, x1), 0) -> c14(IF(isEmpty(node(x0, x1)), isEmpty(left(node(x0, x1))), x1, node(left(left(node(x0, x1))), node(right(left(node(x0, x1))), right(node(x0, x1)))), 0, s(0))) COUNT(empty, x0) -> c14(IF(isEmpty(empty), true, right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, 0) -> c14(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), 0, s(0))) COUNT(node(node(z0, z1), x1), x2) -> c14(IF(isEmpty(node(node(z0, z1), x1)), false, right(node(node(z0, z1), x1)), node(left(left(node(node(z0, z1), x1))), node(right(left(node(node(z0, z1), x1))), right(node(node(z0, z1), x1)))), x2, inc(x2)), INC(x2)) COUNT(node(empty, x1), x2) -> c14(IF(isEmpty(node(empty, x1)), true, right(node(empty, x1)), node(left(left(node(empty, x1))), node(right(left(node(empty, x1))), right(node(empty, x1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(false, isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(x0, x1), 0) -> c14(IF(isEmpty(node(x0, x1)), isEmpty(x0), right(node(x0, x1)), node(left(left(node(x0, x1))), node(right(left(node(x0, x1))), right(node(x0, x1)))), 0, s(0))) COUNT(node(x0, x1), 0) -> c14(IF(false, isEmpty(left(node(x0, x1))), right(node(x0, x1)), node(left(left(node(x0, x1))), node(right(left(node(x0, x1))), right(node(x0, x1)))), 0, s(0))) COUNT(empty, 0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), 0, s(0))) COUNT(node(z0, z1), 0) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), 0, s(0))) COUNT(empty, 0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), 0, s(0))) COUNT(node(z0, z1), 0) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), 0, s(0))) COUNT(empty, 0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), 0, s(0))) COUNT(node(z0, z1), 0) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), 0, s(0))) COUNT(empty, 0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), 0, s(0))) COUNT(node(z0, z1), 0) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), 0, s(0))) COUNT(empty, 0) -> c8(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), 0, s(0))) COUNT(node(z0, z1), 0) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), 0, s(0))) COUNT(node(z0, z1), 0) -> c8(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), 0, s(0))) COUNT(x0, s(0)) -> c8(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(0), s(s(0)))) COUNT(x0, s(s(z0))) -> c8(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(s(z0)), s(s(inc(z0))))) COUNT(empty, s(x1)) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), s(x1), s(inc(x1)))) COUNT(node(z0, z1), s(x1)) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), s(x1), s(inc(x1)))) COUNT(empty, s(x1)) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), s(x1), s(inc(x1)))) COUNT(node(z0, z1), s(x1)) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), s(x1), s(inc(x1)))) COUNT(empty, s(x1)) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), s(x1), s(inc(x1)))) COUNT(node(z0, z1), s(x1)) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1)))) COUNT(empty, s(x1)) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), s(x1), s(inc(x1)))) COUNT(node(z0, z1), s(x1)) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1)))) COUNT(empty, s(x1)) -> c8(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), s(x1), s(inc(x1)))) COUNT(node(z0, z1), s(x1)) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1)))) COUNT(node(z0, z1), s(x1)) -> c8(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1)))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), empty)), x0, inc(x0))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), empty)), x0, inc(x0))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), empty)), x0, inc(x0))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x0, inc(x0))) COUNT(node(z0, z1), x2) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), z1)), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), z1)), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c8(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x2, inc(x2))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(empty, right(empty))), x0, inc(x0))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(empty), right(empty))), x0, inc(x0))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(empty), right(empty))), x0, inc(x0))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x0, inc(x0))) COUNT(node(node(z0, z1), x1), x2) -> c8(IF(isEmpty(node(node(z0, z1), x1)), isEmpty(left(node(node(z0, z1), x1))), right(node(node(z0, z1), x1)), node(left(left(node(node(z0, z1), x1))), node(z1, right(node(node(z0, z1), x1)))), x2, inc(x2))) COUNT(node(empty, x1), x2) -> c8(IF(isEmpty(node(empty, x1)), isEmpty(left(node(empty, x1))), right(node(empty, x1)), node(left(left(node(empty, x1))), node(empty, right(node(empty, x1)))), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(z0), right(node(z0, z1)))), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c8(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x2, inc(x2))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(empty, node(right(left(empty)), right(empty))), x0, inc(x0))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(empty), node(right(left(empty)), right(empty))), x0, inc(x0))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x0, inc(x0))) COUNT(node(node(z0, z1), x1), x2) -> c8(IF(isEmpty(node(node(z0, z1), x1)), isEmpty(left(node(node(z0, z1), x1))), right(node(node(z0, z1), x1)), node(z0, node(right(left(node(node(z0, z1), x1))), right(node(node(z0, z1), x1)))), x2, inc(x2))) COUNT(node(empty, x1), x2) -> c8(IF(isEmpty(node(empty, x1)), isEmpty(left(node(empty, x1))), right(node(empty, x1)), node(empty, node(right(left(node(empty, x1))), right(node(empty, x1)))), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c8(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), isEmpty(empty), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x0, inc(x0))) COUNT(node(z0, z1), x2) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(z0), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c8(IF(false, isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), true, right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x0, inc(x0))) COUNT(node(node(z0, z1), x1), x2) -> c8(IF(isEmpty(node(node(z0, z1), x1)), false, right(node(node(z0, z1), x1)), node(left(left(node(node(z0, z1), x1))), node(right(left(node(node(z0, z1), x1))), right(node(node(z0, z1), x1)))), x2, inc(x2))) COUNT(node(empty, x1), x2) -> c8(IF(isEmpty(node(empty, x1)), true, right(node(empty, x1)), node(left(left(node(empty, x1))), node(right(left(node(empty, x1))), right(node(empty, x1)))), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c8(IF(false, isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2))) COUNT(empty, 0) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), 0, s(0))) COUNT(node(z0, z1), 0) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), 0, s(0))) COUNT(empty, 0) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), 0, s(0))) COUNT(node(z0, z1), 0) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), 0, s(0))) COUNT(empty, 0) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), 0, s(0))) COUNT(node(z0, z1), 0) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), 0, s(0))) COUNT(empty, 0) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), 0, s(0))) COUNT(node(z0, z1), 0) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), 0, s(0))) COUNT(empty, 0) -> c9(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), 0, s(0))) COUNT(node(z0, z1), 0) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), 0, s(0))) COUNT(node(z0, z1), 0) -> c9(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), 0, s(0))) COUNT(x0, s(0)) -> c9(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(0), s(s(0)))) COUNT(x0, s(s(z0))) -> c9(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(s(z0)), s(s(inc(z0))))) COUNT(empty, s(x1)) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), s(x1), s(inc(x1)))) COUNT(node(z0, z1), s(x1)) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), s(x1), s(inc(x1)))) COUNT(empty, s(x1)) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), s(x1), s(inc(x1)))) COUNT(node(z0, z1), s(x1)) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), s(x1), s(inc(x1)))) COUNT(empty, s(x1)) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), s(x1), s(inc(x1)))) COUNT(node(z0, z1), s(x1)) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1)))) COUNT(empty, s(x1)) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), s(x1), s(inc(x1)))) COUNT(node(z0, z1), s(x1)) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1)))) COUNT(empty, s(x1)) -> c9(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), s(x1), s(inc(x1)))) COUNT(node(z0, z1), s(x1)) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1)))) COUNT(node(z0, z1), s(x1)) -> c9(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1)))) COUNT(empty, x0) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), empty)), x0, inc(x0))) COUNT(empty, x0) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), empty)), x0, inc(x0))) COUNT(empty, x0) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), empty)), x0, inc(x0))) COUNT(empty, x0) -> c9(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x0, inc(x0))) COUNT(node(z0, z1), x2) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), z1)), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), z1)), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c9(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x2, inc(x2))) COUNT(empty, x0) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(empty, right(empty))), x0, inc(x0))) COUNT(empty, x0) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(empty), right(empty))), x0, inc(x0))) COUNT(empty, x0) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(empty), right(empty))), x0, inc(x0))) COUNT(empty, x0) -> c9(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x0, inc(x0))) K tuples: COUNT(empty, x1) -> c14(INC(x1)) COUNT(x0, s(x1)) -> c14(INC(s(x1))) COUNT(empty, s(x1)) -> c14(INC(s(x1))) Defined Rule Symbols: isEmpty_1, left_1, right_1, inc_1 Defined Pair Symbols: INC_1, IF_6, COUNT_2 Compound Symbols: c7_1, c16_1, c17_1, c14_1, c9_1, c10_1, c11_1, c12_1, c13_1, c14_2, c8_1 ---------------------------------------- (215) CdtNarrowingProof (BOTH BOUNDS(ID, ID)) Use narrowing to replace COUNT(node(z0, z1), x1) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1))) by COUNT(node(x0, x1), 0) -> c9(IF(isEmpty(node(x0, x1)), isEmpty(left(node(x0, x1))), right(node(x0, x1)), node(left(left(node(x0, x1))), node(right(x0), right(node(x0, x1)))), 0, s(0))) COUNT(node(x0, x1), s(z0)) -> c9(IF(isEmpty(node(x0, x1)), isEmpty(left(node(x0, x1))), right(node(x0, x1)), node(left(left(node(x0, x1))), node(right(x0), right(node(x0, x1)))), s(z0), s(inc(z0)))) COUNT(node(z0, z1), x2) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), z1)), x2, inc(x2))) COUNT(node(node(z0, z1), x1), x2) -> c9(IF(isEmpty(node(node(z0, z1), x1)), isEmpty(left(node(node(z0, z1), x1))), right(node(node(z0, z1), x1)), node(left(left(node(node(z0, z1), x1))), node(z1, right(node(node(z0, z1), x1)))), x2, inc(x2))) COUNT(node(empty, x1), x2) -> c9(IF(isEmpty(node(empty, x1)), isEmpty(left(node(empty, x1))), right(node(empty, x1)), node(left(left(node(empty, x1))), node(empty, right(node(empty, x1)))), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(z0), right(node(z0, z1)))), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c9(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x2, inc(x2))) ---------------------------------------- (216) Obligation: Complexity Dependency Tuples Problem Rules: isEmpty(empty) -> true isEmpty(node(z0, z1)) -> false left(empty) -> empty left(node(z0, z1)) -> z0 right(empty) -> empty right(node(z0, z1)) -> z1 inc(0) -> s(0) inc(s(z0)) -> s(inc(z0)) Tuples: INC(s(z0)) -> c7(INC(z0)) IF(false, false, z0, z1, z2, z3) -> c16(COUNT(z1, z2)) IF(false, true, z0, z1, z2, z3) -> c17(COUNT(z0, z3)) COUNT(empty, x1) -> c14(INC(x1)) COUNT(empty, x1) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c9(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c9(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, 0) -> c10(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(x0, s(z0)) -> c10(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0)))) COUNT(empty, x1) -> c10(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1))) COUNT(empty, x1) -> c10(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c10(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c10(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c10(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, 0) -> c11(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(x0, s(z0)) -> c11(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0)))) COUNT(empty, x1) -> c11(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1))) COUNT(empty, x1) -> c11(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c11(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c11(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c11(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, 0) -> c12(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(x0, s(z0)) -> c12(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0)))) COUNT(empty, x1) -> c12(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1))) COUNT(empty, x1) -> c12(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c12(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c12(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c12(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, 0) -> c13(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(x0, s(z0)) -> c13(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0)))) COUNT(empty, x1) -> c13(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1))) COUNT(empty, x1) -> c13(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c13(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c13(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c13(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, s(0)) -> c14(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(0), s(s(0))), INC(s(0))) COUNT(x0, s(s(z0))) -> c14(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(s(z0)), s(s(inc(z0)))), INC(s(s(z0)))) COUNT(empty, s(x1)) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), s(x1), s(inc(x1))), INC(s(x1))) COUNT(empty, s(x1)) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(empty, s(x1)) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(empty, s(x1)) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(empty, s(x1)) -> c14(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(x0, s(x1)) -> c14(INC(s(x1))) COUNT(empty, s(x1)) -> c14(INC(s(x1))) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), empty)), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), empty)), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), empty)), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x0, inc(x0)), INC(x0)) COUNT(empty, 0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), 0, s(0))) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), z1)), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), z1)), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x2, inc(x2)), INC(x2)) COUNT(node(x0, x1), 0) -> c14(IF(isEmpty(node(x0, x1)), isEmpty(left(node(x0, x1))), right(node(x0, x1)), node(left(left(node(x0, x1))), node(right(left(node(x0, x1))), x1)), 0, s(0))) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(empty, right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(empty), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(empty), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, 0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), 0, s(0))) COUNT(node(node(z0, z1), x1), x2) -> c14(IF(isEmpty(node(node(z0, z1), x1)), isEmpty(left(node(node(z0, z1), x1))), right(node(node(z0, z1), x1)), node(left(left(node(node(z0, z1), x1))), node(z1, right(node(node(z0, z1), x1)))), x2, inc(x2)), INC(x2)) COUNT(node(empty, x1), x2) -> c14(IF(isEmpty(node(empty, x1)), isEmpty(left(node(empty, x1))), right(node(empty, x1)), node(left(left(node(empty, x1))), node(empty, right(node(empty, x1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(z0), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(x0, x1), 0) -> c14(IF(isEmpty(node(x0, x1)), isEmpty(left(node(x0, x1))), right(node(x0, x1)), node(left(left(node(x0, x1))), node(right(x0), right(node(x0, x1)))), 0, s(0))) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(empty, node(right(left(empty)), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(empty), node(right(left(empty)), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, 0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), 0, s(0))) COUNT(node(node(z0, z1), x1), x2) -> c14(IF(isEmpty(node(node(z0, z1), x1)), isEmpty(left(node(node(z0, z1), x1))), right(node(node(z0, z1), x1)), node(z0, node(right(left(node(node(z0, z1), x1))), right(node(node(z0, z1), x1)))), x2, inc(x2)), INC(x2)) COUNT(node(empty, x1), x2) -> c14(IF(isEmpty(node(empty, x1)), isEmpty(left(node(empty, x1))), right(node(empty, x1)), node(empty, node(right(left(node(empty, x1))), right(node(empty, x1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(x0, x1), 0) -> c14(IF(isEmpty(node(x0, x1)), isEmpty(left(node(x0, x1))), right(node(x0, x1)), node(left(x0), node(right(left(node(x0, x1))), right(node(x0, x1)))), 0, s(0))) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(empty), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, 0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), 0, s(0))) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(z0), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(false, isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(x0, x1), 0) -> c14(IF(isEmpty(node(x0, x1)), isEmpty(left(node(x0, x1))), x1, node(left(left(node(x0, x1))), node(right(left(node(x0, x1))), right(node(x0, x1)))), 0, s(0))) COUNT(empty, x0) -> c14(IF(isEmpty(empty), true, right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, 0) -> c14(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), 0, s(0))) COUNT(node(node(z0, z1), x1), x2) -> c14(IF(isEmpty(node(node(z0, z1), x1)), false, right(node(node(z0, z1), x1)), node(left(left(node(node(z0, z1), x1))), node(right(left(node(node(z0, z1), x1))), right(node(node(z0, z1), x1)))), x2, inc(x2)), INC(x2)) COUNT(node(empty, x1), x2) -> c14(IF(isEmpty(node(empty, x1)), true, right(node(empty, x1)), node(left(left(node(empty, x1))), node(right(left(node(empty, x1))), right(node(empty, x1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(false, isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(x0, x1), 0) -> c14(IF(isEmpty(node(x0, x1)), isEmpty(x0), right(node(x0, x1)), node(left(left(node(x0, x1))), node(right(left(node(x0, x1))), right(node(x0, x1)))), 0, s(0))) COUNT(node(x0, x1), 0) -> c14(IF(false, isEmpty(left(node(x0, x1))), right(node(x0, x1)), node(left(left(node(x0, x1))), node(right(left(node(x0, x1))), right(node(x0, x1)))), 0, s(0))) COUNT(empty, 0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), 0, s(0))) COUNT(node(z0, z1), 0) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), 0, s(0))) COUNT(empty, 0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), 0, s(0))) COUNT(node(z0, z1), 0) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), 0, s(0))) COUNT(empty, 0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), 0, s(0))) COUNT(node(z0, z1), 0) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), 0, s(0))) COUNT(empty, 0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), 0, s(0))) COUNT(node(z0, z1), 0) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), 0, s(0))) COUNT(empty, 0) -> c8(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), 0, s(0))) COUNT(node(z0, z1), 0) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), 0, s(0))) COUNT(node(z0, z1), 0) -> c8(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), 0, s(0))) COUNT(x0, s(0)) -> c8(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(0), s(s(0)))) COUNT(x0, s(s(z0))) -> c8(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(s(z0)), s(s(inc(z0))))) COUNT(empty, s(x1)) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), s(x1), s(inc(x1)))) COUNT(node(z0, z1), s(x1)) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), s(x1), s(inc(x1)))) COUNT(empty, s(x1)) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), s(x1), s(inc(x1)))) COUNT(node(z0, z1), s(x1)) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), s(x1), s(inc(x1)))) COUNT(empty, s(x1)) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), s(x1), s(inc(x1)))) COUNT(node(z0, z1), s(x1)) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1)))) COUNT(empty, s(x1)) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), s(x1), s(inc(x1)))) COUNT(node(z0, z1), s(x1)) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1)))) COUNT(empty, s(x1)) -> c8(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), s(x1), s(inc(x1)))) COUNT(node(z0, z1), s(x1)) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1)))) COUNT(node(z0, z1), s(x1)) -> c8(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1)))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), empty)), x0, inc(x0))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), empty)), x0, inc(x0))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), empty)), x0, inc(x0))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x0, inc(x0))) COUNT(node(z0, z1), x2) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), z1)), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), z1)), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c8(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x2, inc(x2))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(empty, right(empty))), x0, inc(x0))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(empty), right(empty))), x0, inc(x0))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(empty), right(empty))), x0, inc(x0))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x0, inc(x0))) COUNT(node(node(z0, z1), x1), x2) -> c8(IF(isEmpty(node(node(z0, z1), x1)), isEmpty(left(node(node(z0, z1), x1))), right(node(node(z0, z1), x1)), node(left(left(node(node(z0, z1), x1))), node(z1, right(node(node(z0, z1), x1)))), x2, inc(x2))) COUNT(node(empty, x1), x2) -> c8(IF(isEmpty(node(empty, x1)), isEmpty(left(node(empty, x1))), right(node(empty, x1)), node(left(left(node(empty, x1))), node(empty, right(node(empty, x1)))), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(z0), right(node(z0, z1)))), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c8(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x2, inc(x2))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(empty, node(right(left(empty)), right(empty))), x0, inc(x0))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(empty), node(right(left(empty)), right(empty))), x0, inc(x0))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x0, inc(x0))) COUNT(node(node(z0, z1), x1), x2) -> c8(IF(isEmpty(node(node(z0, z1), x1)), isEmpty(left(node(node(z0, z1), x1))), right(node(node(z0, z1), x1)), node(z0, node(right(left(node(node(z0, z1), x1))), right(node(node(z0, z1), x1)))), x2, inc(x2))) COUNT(node(empty, x1), x2) -> c8(IF(isEmpty(node(empty, x1)), isEmpty(left(node(empty, x1))), right(node(empty, x1)), node(empty, node(right(left(node(empty, x1))), right(node(empty, x1)))), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c8(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), isEmpty(empty), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x0, inc(x0))) COUNT(node(z0, z1), x2) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(z0), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c8(IF(false, isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), true, right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x0, inc(x0))) COUNT(node(node(z0, z1), x1), x2) -> c8(IF(isEmpty(node(node(z0, z1), x1)), false, right(node(node(z0, z1), x1)), node(left(left(node(node(z0, z1), x1))), node(right(left(node(node(z0, z1), x1))), right(node(node(z0, z1), x1)))), x2, inc(x2))) COUNT(node(empty, x1), x2) -> c8(IF(isEmpty(node(empty, x1)), true, right(node(empty, x1)), node(left(left(node(empty, x1))), node(right(left(node(empty, x1))), right(node(empty, x1)))), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c8(IF(false, isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2))) COUNT(empty, 0) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), 0, s(0))) COUNT(node(z0, z1), 0) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), 0, s(0))) COUNT(empty, 0) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), 0, s(0))) COUNT(node(z0, z1), 0) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), 0, s(0))) COUNT(empty, 0) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), 0, s(0))) COUNT(node(z0, z1), 0) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), 0, s(0))) COUNT(empty, 0) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), 0, s(0))) COUNT(node(z0, z1), 0) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), 0, s(0))) COUNT(empty, 0) -> c9(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), 0, s(0))) COUNT(node(z0, z1), 0) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), 0, s(0))) COUNT(node(z0, z1), 0) -> c9(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), 0, s(0))) COUNT(x0, s(0)) -> c9(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(0), s(s(0)))) COUNT(x0, s(s(z0))) -> c9(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(s(z0)), s(s(inc(z0))))) COUNT(empty, s(x1)) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), s(x1), s(inc(x1)))) COUNT(node(z0, z1), s(x1)) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), s(x1), s(inc(x1)))) COUNT(empty, s(x1)) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), s(x1), s(inc(x1)))) COUNT(node(z0, z1), s(x1)) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), s(x1), s(inc(x1)))) COUNT(empty, s(x1)) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), s(x1), s(inc(x1)))) COUNT(node(z0, z1), s(x1)) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1)))) COUNT(empty, s(x1)) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), s(x1), s(inc(x1)))) COUNT(node(z0, z1), s(x1)) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1)))) COUNT(empty, s(x1)) -> c9(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), s(x1), s(inc(x1)))) COUNT(node(z0, z1), s(x1)) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1)))) COUNT(node(z0, z1), s(x1)) -> c9(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1)))) COUNT(empty, x0) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), empty)), x0, inc(x0))) COUNT(empty, x0) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), empty)), x0, inc(x0))) COUNT(empty, x0) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), empty)), x0, inc(x0))) COUNT(empty, x0) -> c9(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x0, inc(x0))) COUNT(node(z0, z1), x2) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), z1)), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), z1)), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c9(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x2, inc(x2))) COUNT(empty, x0) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(empty, right(empty))), x0, inc(x0))) COUNT(empty, x0) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(empty), right(empty))), x0, inc(x0))) COUNT(empty, x0) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(empty), right(empty))), x0, inc(x0))) COUNT(empty, x0) -> c9(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x0, inc(x0))) COUNT(node(node(z0, z1), x1), x2) -> c9(IF(isEmpty(node(node(z0, z1), x1)), isEmpty(left(node(node(z0, z1), x1))), right(node(node(z0, z1), x1)), node(left(left(node(node(z0, z1), x1))), node(z1, right(node(node(z0, z1), x1)))), x2, inc(x2))) COUNT(node(empty, x1), x2) -> c9(IF(isEmpty(node(empty, x1)), isEmpty(left(node(empty, x1))), right(node(empty, x1)), node(left(left(node(empty, x1))), node(empty, right(node(empty, x1)))), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(z0), right(node(z0, z1)))), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c9(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x2, inc(x2))) S tuples: INC(s(z0)) -> c7(INC(z0)) IF(false, false, z0, z1, z2, z3) -> c16(COUNT(z1, z2)) IF(false, true, z0, z1, z2, z3) -> c17(COUNT(z0, z3)) COUNT(empty, x1) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c9(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c9(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, 0) -> c10(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(x0, s(z0)) -> c10(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0)))) COUNT(empty, x1) -> c10(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1))) COUNT(empty, x1) -> c10(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c10(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c10(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c10(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, 0) -> c11(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(x0, s(z0)) -> c11(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0)))) COUNT(empty, x1) -> c11(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1))) COUNT(empty, x1) -> c11(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c11(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c11(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c11(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, 0) -> c12(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(x0, s(z0)) -> c12(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0)))) COUNT(empty, x1) -> c12(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1))) COUNT(empty, x1) -> c12(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c12(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c12(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c12(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, 0) -> c13(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(x0, s(z0)) -> c13(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0)))) COUNT(empty, x1) -> c13(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1))) COUNT(empty, x1) -> c13(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c13(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c13(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c13(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, s(0)) -> c14(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(0), s(s(0))), INC(s(0))) COUNT(x0, s(s(z0))) -> c14(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(s(z0)), s(s(inc(z0)))), INC(s(s(z0)))) COUNT(empty, s(x1)) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), s(x1), s(inc(x1))), INC(s(x1))) COUNT(empty, s(x1)) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(empty, s(x1)) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(empty, s(x1)) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(empty, s(x1)) -> c14(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), empty)), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), empty)), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), empty)), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x0, inc(x0)), INC(x0)) COUNT(empty, 0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), 0, s(0))) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), z1)), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), z1)), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x2, inc(x2)), INC(x2)) COUNT(node(x0, x1), 0) -> c14(IF(isEmpty(node(x0, x1)), isEmpty(left(node(x0, x1))), right(node(x0, x1)), node(left(left(node(x0, x1))), node(right(left(node(x0, x1))), x1)), 0, s(0))) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(empty, right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(empty), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(empty), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, 0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), 0, s(0))) COUNT(node(node(z0, z1), x1), x2) -> c14(IF(isEmpty(node(node(z0, z1), x1)), isEmpty(left(node(node(z0, z1), x1))), right(node(node(z0, z1), x1)), node(left(left(node(node(z0, z1), x1))), node(z1, right(node(node(z0, z1), x1)))), x2, inc(x2)), INC(x2)) COUNT(node(empty, x1), x2) -> c14(IF(isEmpty(node(empty, x1)), isEmpty(left(node(empty, x1))), right(node(empty, x1)), node(left(left(node(empty, x1))), node(empty, right(node(empty, x1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(z0), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(x0, x1), 0) -> c14(IF(isEmpty(node(x0, x1)), isEmpty(left(node(x0, x1))), right(node(x0, x1)), node(left(left(node(x0, x1))), node(right(x0), right(node(x0, x1)))), 0, s(0))) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(empty, node(right(left(empty)), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(empty), node(right(left(empty)), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, 0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), 0, s(0))) COUNT(node(node(z0, z1), x1), x2) -> c14(IF(isEmpty(node(node(z0, z1), x1)), isEmpty(left(node(node(z0, z1), x1))), right(node(node(z0, z1), x1)), node(z0, node(right(left(node(node(z0, z1), x1))), right(node(node(z0, z1), x1)))), x2, inc(x2)), INC(x2)) COUNT(node(empty, x1), x2) -> c14(IF(isEmpty(node(empty, x1)), isEmpty(left(node(empty, x1))), right(node(empty, x1)), node(empty, node(right(left(node(empty, x1))), right(node(empty, x1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(x0, x1), 0) -> c14(IF(isEmpty(node(x0, x1)), isEmpty(left(node(x0, x1))), right(node(x0, x1)), node(left(x0), node(right(left(node(x0, x1))), right(node(x0, x1)))), 0, s(0))) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(empty), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, 0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), 0, s(0))) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(z0), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(false, isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(x0, x1), 0) -> c14(IF(isEmpty(node(x0, x1)), isEmpty(left(node(x0, x1))), x1, node(left(left(node(x0, x1))), node(right(left(node(x0, x1))), right(node(x0, x1)))), 0, s(0))) COUNT(empty, x0) -> c14(IF(isEmpty(empty), true, right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, 0) -> c14(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), 0, s(0))) COUNT(node(node(z0, z1), x1), x2) -> c14(IF(isEmpty(node(node(z0, z1), x1)), false, right(node(node(z0, z1), x1)), node(left(left(node(node(z0, z1), x1))), node(right(left(node(node(z0, z1), x1))), right(node(node(z0, z1), x1)))), x2, inc(x2)), INC(x2)) COUNT(node(empty, x1), x2) -> c14(IF(isEmpty(node(empty, x1)), true, right(node(empty, x1)), node(left(left(node(empty, x1))), node(right(left(node(empty, x1))), right(node(empty, x1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(false, isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(x0, x1), 0) -> c14(IF(isEmpty(node(x0, x1)), isEmpty(x0), right(node(x0, x1)), node(left(left(node(x0, x1))), node(right(left(node(x0, x1))), right(node(x0, x1)))), 0, s(0))) COUNT(node(x0, x1), 0) -> c14(IF(false, isEmpty(left(node(x0, x1))), right(node(x0, x1)), node(left(left(node(x0, x1))), node(right(left(node(x0, x1))), right(node(x0, x1)))), 0, s(0))) COUNT(empty, 0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), 0, s(0))) COUNT(node(z0, z1), 0) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), 0, s(0))) COUNT(empty, 0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), 0, s(0))) COUNT(node(z0, z1), 0) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), 0, s(0))) COUNT(empty, 0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), 0, s(0))) COUNT(node(z0, z1), 0) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), 0, s(0))) COUNT(empty, 0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), 0, s(0))) COUNT(node(z0, z1), 0) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), 0, s(0))) COUNT(empty, 0) -> c8(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), 0, s(0))) COUNT(node(z0, z1), 0) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), 0, s(0))) COUNT(node(z0, z1), 0) -> c8(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), 0, s(0))) COUNT(x0, s(0)) -> c8(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(0), s(s(0)))) COUNT(x0, s(s(z0))) -> c8(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(s(z0)), s(s(inc(z0))))) COUNT(empty, s(x1)) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), s(x1), s(inc(x1)))) COUNT(node(z0, z1), s(x1)) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), s(x1), s(inc(x1)))) COUNT(empty, s(x1)) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), s(x1), s(inc(x1)))) COUNT(node(z0, z1), s(x1)) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), s(x1), s(inc(x1)))) COUNT(empty, s(x1)) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), s(x1), s(inc(x1)))) COUNT(node(z0, z1), s(x1)) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1)))) COUNT(empty, s(x1)) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), s(x1), s(inc(x1)))) COUNT(node(z0, z1), s(x1)) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1)))) COUNT(empty, s(x1)) -> c8(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), s(x1), s(inc(x1)))) COUNT(node(z0, z1), s(x1)) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1)))) COUNT(node(z0, z1), s(x1)) -> c8(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1)))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), empty)), x0, inc(x0))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), empty)), x0, inc(x0))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), empty)), x0, inc(x0))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x0, inc(x0))) COUNT(node(z0, z1), x2) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), z1)), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), z1)), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c8(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x2, inc(x2))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(empty, right(empty))), x0, inc(x0))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(empty), right(empty))), x0, inc(x0))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(empty), right(empty))), x0, inc(x0))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x0, inc(x0))) COUNT(node(node(z0, z1), x1), x2) -> c8(IF(isEmpty(node(node(z0, z1), x1)), isEmpty(left(node(node(z0, z1), x1))), right(node(node(z0, z1), x1)), node(left(left(node(node(z0, z1), x1))), node(z1, right(node(node(z0, z1), x1)))), x2, inc(x2))) COUNT(node(empty, x1), x2) -> c8(IF(isEmpty(node(empty, x1)), isEmpty(left(node(empty, x1))), right(node(empty, x1)), node(left(left(node(empty, x1))), node(empty, right(node(empty, x1)))), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(z0), right(node(z0, z1)))), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c8(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x2, inc(x2))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(empty, node(right(left(empty)), right(empty))), x0, inc(x0))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(empty), node(right(left(empty)), right(empty))), x0, inc(x0))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x0, inc(x0))) COUNT(node(node(z0, z1), x1), x2) -> c8(IF(isEmpty(node(node(z0, z1), x1)), isEmpty(left(node(node(z0, z1), x1))), right(node(node(z0, z1), x1)), node(z0, node(right(left(node(node(z0, z1), x1))), right(node(node(z0, z1), x1)))), x2, inc(x2))) COUNT(node(empty, x1), x2) -> c8(IF(isEmpty(node(empty, x1)), isEmpty(left(node(empty, x1))), right(node(empty, x1)), node(empty, node(right(left(node(empty, x1))), right(node(empty, x1)))), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c8(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), isEmpty(empty), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x0, inc(x0))) COUNT(node(z0, z1), x2) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(z0), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c8(IF(false, isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), true, right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x0, inc(x0))) COUNT(node(node(z0, z1), x1), x2) -> c8(IF(isEmpty(node(node(z0, z1), x1)), false, right(node(node(z0, z1), x1)), node(left(left(node(node(z0, z1), x1))), node(right(left(node(node(z0, z1), x1))), right(node(node(z0, z1), x1)))), x2, inc(x2))) COUNT(node(empty, x1), x2) -> c8(IF(isEmpty(node(empty, x1)), true, right(node(empty, x1)), node(left(left(node(empty, x1))), node(right(left(node(empty, x1))), right(node(empty, x1)))), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c8(IF(false, isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2))) COUNT(empty, 0) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), 0, s(0))) COUNT(node(z0, z1), 0) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), 0, s(0))) COUNT(empty, 0) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), 0, s(0))) COUNT(node(z0, z1), 0) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), 0, s(0))) COUNT(empty, 0) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), 0, s(0))) COUNT(node(z0, z1), 0) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), 0, s(0))) COUNT(empty, 0) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), 0, s(0))) COUNT(node(z0, z1), 0) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), 0, s(0))) COUNT(empty, 0) -> c9(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), 0, s(0))) COUNT(node(z0, z1), 0) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), 0, s(0))) COUNT(node(z0, z1), 0) -> c9(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), 0, s(0))) COUNT(x0, s(0)) -> c9(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(0), s(s(0)))) COUNT(x0, s(s(z0))) -> c9(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(s(z0)), s(s(inc(z0))))) COUNT(empty, s(x1)) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), s(x1), s(inc(x1)))) COUNT(node(z0, z1), s(x1)) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), s(x1), s(inc(x1)))) COUNT(empty, s(x1)) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), s(x1), s(inc(x1)))) COUNT(node(z0, z1), s(x1)) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), s(x1), s(inc(x1)))) COUNT(empty, s(x1)) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), s(x1), s(inc(x1)))) COUNT(node(z0, z1), s(x1)) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1)))) COUNT(empty, s(x1)) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), s(x1), s(inc(x1)))) COUNT(node(z0, z1), s(x1)) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1)))) COUNT(empty, s(x1)) -> c9(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), s(x1), s(inc(x1)))) COUNT(node(z0, z1), s(x1)) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1)))) COUNT(node(z0, z1), s(x1)) -> c9(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1)))) COUNT(empty, x0) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), empty)), x0, inc(x0))) COUNT(empty, x0) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), empty)), x0, inc(x0))) COUNT(empty, x0) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), empty)), x0, inc(x0))) COUNT(empty, x0) -> c9(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x0, inc(x0))) COUNT(node(z0, z1), x2) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), z1)), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), z1)), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c9(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x2, inc(x2))) COUNT(empty, x0) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(empty, right(empty))), x0, inc(x0))) COUNT(empty, x0) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(empty), right(empty))), x0, inc(x0))) COUNT(empty, x0) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(empty), right(empty))), x0, inc(x0))) COUNT(empty, x0) -> c9(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x0, inc(x0))) COUNT(node(node(z0, z1), x1), x2) -> c9(IF(isEmpty(node(node(z0, z1), x1)), isEmpty(left(node(node(z0, z1), x1))), right(node(node(z0, z1), x1)), node(left(left(node(node(z0, z1), x1))), node(z1, right(node(node(z0, z1), x1)))), x2, inc(x2))) COUNT(node(empty, x1), x2) -> c9(IF(isEmpty(node(empty, x1)), isEmpty(left(node(empty, x1))), right(node(empty, x1)), node(left(left(node(empty, x1))), node(empty, right(node(empty, x1)))), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(z0), right(node(z0, z1)))), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c9(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x2, inc(x2))) K tuples: COUNT(empty, x1) -> c14(INC(x1)) COUNT(x0, s(x1)) -> c14(INC(s(x1))) COUNT(empty, s(x1)) -> c14(INC(s(x1))) Defined Rule Symbols: isEmpty_1, left_1, right_1, inc_1 Defined Pair Symbols: INC_1, IF_6, COUNT_2 Compound Symbols: c7_1, c16_1, c17_1, c14_1, c9_1, c10_1, c11_1, c12_1, c13_1, c14_2, c8_1 ---------------------------------------- (217) CdtNarrowingProof (BOTH BOUNDS(ID, ID)) Use narrowing to replace COUNT(empty, x1) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) by COUNT(empty, 0) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), 0, s(0))) COUNT(empty, s(z0)) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), s(z0), s(inc(z0)))) COUNT(empty, x0) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), empty)), x0, inc(x0))) COUNT(empty, x0) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(empty), right(empty))), x0, inc(x0))) COUNT(empty, x0) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(empty, node(right(left(empty)), right(empty))), x0, inc(x0))) COUNT(empty, x0) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(empty), node(right(left(empty)), right(empty))), x0, inc(x0))) COUNT(empty, x0) -> c9(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x0, inc(x0))) COUNT(empty, x0) -> c9(IF(true, isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x0, inc(x0))) ---------------------------------------- (218) Obligation: Complexity Dependency Tuples Problem Rules: isEmpty(empty) -> true isEmpty(node(z0, z1)) -> false left(empty) -> empty left(node(z0, z1)) -> z0 right(empty) -> empty right(node(z0, z1)) -> z1 inc(0) -> s(0) inc(s(z0)) -> s(inc(z0)) Tuples: INC(s(z0)) -> c7(INC(z0)) IF(false, false, z0, z1, z2, z3) -> c16(COUNT(z1, z2)) IF(false, true, z0, z1, z2, z3) -> c17(COUNT(z0, z3)) COUNT(empty, x1) -> c14(INC(x1)) COUNT(node(z0, z1), x1) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c9(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c9(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, 0) -> c10(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(x0, s(z0)) -> c10(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0)))) COUNT(empty, x1) -> c10(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1))) COUNT(empty, x1) -> c10(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c10(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c10(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c10(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, 0) -> c11(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(x0, s(z0)) -> c11(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0)))) COUNT(empty, x1) -> c11(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1))) COUNT(empty, x1) -> c11(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c11(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c11(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c11(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, 0) -> c12(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(x0, s(z0)) -> c12(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0)))) COUNT(empty, x1) -> c12(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1))) COUNT(empty, x1) -> c12(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c12(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c12(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c12(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, 0) -> c13(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(x0, s(z0)) -> c13(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0)))) COUNT(empty, x1) -> c13(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1))) COUNT(empty, x1) -> c13(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c13(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c13(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c13(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, s(0)) -> c14(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(0), s(s(0))), INC(s(0))) COUNT(x0, s(s(z0))) -> c14(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(s(z0)), s(s(inc(z0)))), INC(s(s(z0)))) COUNT(empty, s(x1)) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), s(x1), s(inc(x1))), INC(s(x1))) COUNT(empty, s(x1)) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(empty, s(x1)) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(empty, s(x1)) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(empty, s(x1)) -> c14(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(x0, s(x1)) -> c14(INC(s(x1))) COUNT(empty, s(x1)) -> c14(INC(s(x1))) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), empty)), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), empty)), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), empty)), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x0, inc(x0)), INC(x0)) COUNT(empty, 0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), 0, s(0))) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), z1)), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), z1)), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x2, inc(x2)), INC(x2)) COUNT(node(x0, x1), 0) -> c14(IF(isEmpty(node(x0, x1)), isEmpty(left(node(x0, x1))), right(node(x0, x1)), node(left(left(node(x0, x1))), node(right(left(node(x0, x1))), x1)), 0, s(0))) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(empty, right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(empty), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(empty), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, 0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), 0, s(0))) COUNT(node(node(z0, z1), x1), x2) -> c14(IF(isEmpty(node(node(z0, z1), x1)), isEmpty(left(node(node(z0, z1), x1))), right(node(node(z0, z1), x1)), node(left(left(node(node(z0, z1), x1))), node(z1, right(node(node(z0, z1), x1)))), x2, inc(x2)), INC(x2)) COUNT(node(empty, x1), x2) -> c14(IF(isEmpty(node(empty, x1)), isEmpty(left(node(empty, x1))), right(node(empty, x1)), node(left(left(node(empty, x1))), node(empty, right(node(empty, x1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(z0), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(x0, x1), 0) -> c14(IF(isEmpty(node(x0, x1)), isEmpty(left(node(x0, x1))), right(node(x0, x1)), node(left(left(node(x0, x1))), node(right(x0), right(node(x0, x1)))), 0, s(0))) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(empty, node(right(left(empty)), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(empty), node(right(left(empty)), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, 0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), 0, s(0))) COUNT(node(node(z0, z1), x1), x2) -> c14(IF(isEmpty(node(node(z0, z1), x1)), isEmpty(left(node(node(z0, z1), x1))), right(node(node(z0, z1), x1)), node(z0, node(right(left(node(node(z0, z1), x1))), right(node(node(z0, z1), x1)))), x2, inc(x2)), INC(x2)) COUNT(node(empty, x1), x2) -> c14(IF(isEmpty(node(empty, x1)), isEmpty(left(node(empty, x1))), right(node(empty, x1)), node(empty, node(right(left(node(empty, x1))), right(node(empty, x1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(x0, x1), 0) -> c14(IF(isEmpty(node(x0, x1)), isEmpty(left(node(x0, x1))), right(node(x0, x1)), node(left(x0), node(right(left(node(x0, x1))), right(node(x0, x1)))), 0, s(0))) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(empty), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, 0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), 0, s(0))) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(z0), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(false, isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(x0, x1), 0) -> c14(IF(isEmpty(node(x0, x1)), isEmpty(left(node(x0, x1))), x1, node(left(left(node(x0, x1))), node(right(left(node(x0, x1))), right(node(x0, x1)))), 0, s(0))) COUNT(empty, x0) -> c14(IF(isEmpty(empty), true, right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, 0) -> c14(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), 0, s(0))) COUNT(node(node(z0, z1), x1), x2) -> c14(IF(isEmpty(node(node(z0, z1), x1)), false, right(node(node(z0, z1), x1)), node(left(left(node(node(z0, z1), x1))), node(right(left(node(node(z0, z1), x1))), right(node(node(z0, z1), x1)))), x2, inc(x2)), INC(x2)) COUNT(node(empty, x1), x2) -> c14(IF(isEmpty(node(empty, x1)), true, right(node(empty, x1)), node(left(left(node(empty, x1))), node(right(left(node(empty, x1))), right(node(empty, x1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(false, isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(x0, x1), 0) -> c14(IF(isEmpty(node(x0, x1)), isEmpty(x0), right(node(x0, x1)), node(left(left(node(x0, x1))), node(right(left(node(x0, x1))), right(node(x0, x1)))), 0, s(0))) COUNT(node(x0, x1), 0) -> c14(IF(false, isEmpty(left(node(x0, x1))), right(node(x0, x1)), node(left(left(node(x0, x1))), node(right(left(node(x0, x1))), right(node(x0, x1)))), 0, s(0))) COUNT(empty, 0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), 0, s(0))) COUNT(node(z0, z1), 0) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), 0, s(0))) COUNT(empty, 0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), 0, s(0))) COUNT(node(z0, z1), 0) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), 0, s(0))) COUNT(empty, 0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), 0, s(0))) COUNT(node(z0, z1), 0) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), 0, s(0))) COUNT(empty, 0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), 0, s(0))) COUNT(node(z0, z1), 0) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), 0, s(0))) COUNT(empty, 0) -> c8(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), 0, s(0))) COUNT(node(z0, z1), 0) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), 0, s(0))) COUNT(node(z0, z1), 0) -> c8(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), 0, s(0))) COUNT(x0, s(0)) -> c8(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(0), s(s(0)))) COUNT(x0, s(s(z0))) -> c8(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(s(z0)), s(s(inc(z0))))) COUNT(empty, s(x1)) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), s(x1), s(inc(x1)))) COUNT(node(z0, z1), s(x1)) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), s(x1), s(inc(x1)))) COUNT(empty, s(x1)) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), s(x1), s(inc(x1)))) COUNT(node(z0, z1), s(x1)) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), s(x1), s(inc(x1)))) COUNT(empty, s(x1)) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), s(x1), s(inc(x1)))) COUNT(node(z0, z1), s(x1)) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1)))) COUNT(empty, s(x1)) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), s(x1), s(inc(x1)))) COUNT(node(z0, z1), s(x1)) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1)))) COUNT(empty, s(x1)) -> c8(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), s(x1), s(inc(x1)))) COUNT(node(z0, z1), s(x1)) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1)))) COUNT(node(z0, z1), s(x1)) -> c8(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1)))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), empty)), x0, inc(x0))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), empty)), x0, inc(x0))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), empty)), x0, inc(x0))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x0, inc(x0))) COUNT(node(z0, z1), x2) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), z1)), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), z1)), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c8(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x2, inc(x2))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(empty, right(empty))), x0, inc(x0))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(empty), right(empty))), x0, inc(x0))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(empty), right(empty))), x0, inc(x0))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x0, inc(x0))) COUNT(node(node(z0, z1), x1), x2) -> c8(IF(isEmpty(node(node(z0, z1), x1)), isEmpty(left(node(node(z0, z1), x1))), right(node(node(z0, z1), x1)), node(left(left(node(node(z0, z1), x1))), node(z1, right(node(node(z0, z1), x1)))), x2, inc(x2))) COUNT(node(empty, x1), x2) -> c8(IF(isEmpty(node(empty, x1)), isEmpty(left(node(empty, x1))), right(node(empty, x1)), node(left(left(node(empty, x1))), node(empty, right(node(empty, x1)))), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(z0), right(node(z0, z1)))), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c8(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x2, inc(x2))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(empty, node(right(left(empty)), right(empty))), x0, inc(x0))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(empty), node(right(left(empty)), right(empty))), x0, inc(x0))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x0, inc(x0))) COUNT(node(node(z0, z1), x1), x2) -> c8(IF(isEmpty(node(node(z0, z1), x1)), isEmpty(left(node(node(z0, z1), x1))), right(node(node(z0, z1), x1)), node(z0, node(right(left(node(node(z0, z1), x1))), right(node(node(z0, z1), x1)))), x2, inc(x2))) COUNT(node(empty, x1), x2) -> c8(IF(isEmpty(node(empty, x1)), isEmpty(left(node(empty, x1))), right(node(empty, x1)), node(empty, node(right(left(node(empty, x1))), right(node(empty, x1)))), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c8(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), isEmpty(empty), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x0, inc(x0))) COUNT(node(z0, z1), x2) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(z0), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c8(IF(false, isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), true, right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x0, inc(x0))) COUNT(node(node(z0, z1), x1), x2) -> c8(IF(isEmpty(node(node(z0, z1), x1)), false, right(node(node(z0, z1), x1)), node(left(left(node(node(z0, z1), x1))), node(right(left(node(node(z0, z1), x1))), right(node(node(z0, z1), x1)))), x2, inc(x2))) COUNT(node(empty, x1), x2) -> c8(IF(isEmpty(node(empty, x1)), true, right(node(empty, x1)), node(left(left(node(empty, x1))), node(right(left(node(empty, x1))), right(node(empty, x1)))), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c8(IF(false, isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2))) COUNT(empty, 0) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), 0, s(0))) COUNT(node(z0, z1), 0) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), 0, s(0))) COUNT(empty, 0) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), 0, s(0))) COUNT(node(z0, z1), 0) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), 0, s(0))) COUNT(empty, 0) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), 0, s(0))) COUNT(node(z0, z1), 0) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), 0, s(0))) COUNT(empty, 0) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), 0, s(0))) COUNT(node(z0, z1), 0) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), 0, s(0))) COUNT(empty, 0) -> c9(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), 0, s(0))) COUNT(node(z0, z1), 0) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), 0, s(0))) COUNT(node(z0, z1), 0) -> c9(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), 0, s(0))) COUNT(x0, s(0)) -> c9(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(0), s(s(0)))) COUNT(x0, s(s(z0))) -> c9(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(s(z0)), s(s(inc(z0))))) COUNT(empty, s(x1)) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), s(x1), s(inc(x1)))) COUNT(node(z0, z1), s(x1)) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), s(x1), s(inc(x1)))) COUNT(empty, s(x1)) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), s(x1), s(inc(x1)))) COUNT(node(z0, z1), s(x1)) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), s(x1), s(inc(x1)))) COUNT(empty, s(x1)) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), s(x1), s(inc(x1)))) COUNT(node(z0, z1), s(x1)) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1)))) COUNT(empty, s(x1)) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), s(x1), s(inc(x1)))) COUNT(node(z0, z1), s(x1)) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1)))) COUNT(empty, s(x1)) -> c9(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), s(x1), s(inc(x1)))) COUNT(node(z0, z1), s(x1)) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1)))) COUNT(node(z0, z1), s(x1)) -> c9(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1)))) COUNT(empty, x0) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), empty)), x0, inc(x0))) COUNT(empty, x0) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), empty)), x0, inc(x0))) COUNT(empty, x0) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), empty)), x0, inc(x0))) COUNT(empty, x0) -> c9(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x0, inc(x0))) COUNT(node(z0, z1), x2) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), z1)), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), z1)), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c9(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x2, inc(x2))) COUNT(empty, x0) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(empty, right(empty))), x0, inc(x0))) COUNT(empty, x0) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(empty), right(empty))), x0, inc(x0))) COUNT(empty, x0) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(empty), right(empty))), x0, inc(x0))) COUNT(empty, x0) -> c9(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x0, inc(x0))) COUNT(node(node(z0, z1), x1), x2) -> c9(IF(isEmpty(node(node(z0, z1), x1)), isEmpty(left(node(node(z0, z1), x1))), right(node(node(z0, z1), x1)), node(left(left(node(node(z0, z1), x1))), node(z1, right(node(node(z0, z1), x1)))), x2, inc(x2))) COUNT(node(empty, x1), x2) -> c9(IF(isEmpty(node(empty, x1)), isEmpty(left(node(empty, x1))), right(node(empty, x1)), node(left(left(node(empty, x1))), node(empty, right(node(empty, x1)))), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(z0), right(node(z0, z1)))), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c9(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x2, inc(x2))) COUNT(empty, x0) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(empty, node(right(left(empty)), right(empty))), x0, inc(x0))) COUNT(empty, x0) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(empty), node(right(left(empty)), right(empty))), x0, inc(x0))) COUNT(empty, x0) -> c9(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x0, inc(x0))) COUNT(empty, x0) -> c9(IF(true, isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x0, inc(x0))) S tuples: INC(s(z0)) -> c7(INC(z0)) IF(false, false, z0, z1, z2, z3) -> c16(COUNT(z1, z2)) IF(false, true, z0, z1, z2, z3) -> c17(COUNT(z0, z3)) COUNT(node(z0, z1), x1) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c9(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c9(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, 0) -> c10(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(x0, s(z0)) -> c10(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0)))) COUNT(empty, x1) -> c10(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1))) COUNT(empty, x1) -> c10(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c10(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c10(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c10(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, 0) -> c11(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(x0, s(z0)) -> c11(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0)))) COUNT(empty, x1) -> c11(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1))) COUNT(empty, x1) -> c11(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c11(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c11(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c11(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, 0) -> c12(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(x0, s(z0)) -> c12(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0)))) COUNT(empty, x1) -> c12(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1))) COUNT(empty, x1) -> c12(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c12(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c12(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c12(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, 0) -> c13(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(x0, s(z0)) -> c13(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0)))) COUNT(empty, x1) -> c13(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1))) COUNT(empty, x1) -> c13(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c13(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c13(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c13(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, s(0)) -> c14(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(0), s(s(0))), INC(s(0))) COUNT(x0, s(s(z0))) -> c14(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(s(z0)), s(s(inc(z0)))), INC(s(s(z0)))) COUNT(empty, s(x1)) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), s(x1), s(inc(x1))), INC(s(x1))) COUNT(empty, s(x1)) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(empty, s(x1)) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(empty, s(x1)) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(empty, s(x1)) -> c14(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), empty)), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), empty)), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), empty)), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x0, inc(x0)), INC(x0)) COUNT(empty, 0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), 0, s(0))) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), z1)), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), z1)), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x2, inc(x2)), INC(x2)) COUNT(node(x0, x1), 0) -> c14(IF(isEmpty(node(x0, x1)), isEmpty(left(node(x0, x1))), right(node(x0, x1)), node(left(left(node(x0, x1))), node(right(left(node(x0, x1))), x1)), 0, s(0))) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(empty, right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(empty), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(empty), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, 0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), 0, s(0))) COUNT(node(node(z0, z1), x1), x2) -> c14(IF(isEmpty(node(node(z0, z1), x1)), isEmpty(left(node(node(z0, z1), x1))), right(node(node(z0, z1), x1)), node(left(left(node(node(z0, z1), x1))), node(z1, right(node(node(z0, z1), x1)))), x2, inc(x2)), INC(x2)) COUNT(node(empty, x1), x2) -> c14(IF(isEmpty(node(empty, x1)), isEmpty(left(node(empty, x1))), right(node(empty, x1)), node(left(left(node(empty, x1))), node(empty, right(node(empty, x1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(z0), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(x0, x1), 0) -> c14(IF(isEmpty(node(x0, x1)), isEmpty(left(node(x0, x1))), right(node(x0, x1)), node(left(left(node(x0, x1))), node(right(x0), right(node(x0, x1)))), 0, s(0))) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(empty, node(right(left(empty)), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(empty), node(right(left(empty)), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, 0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), 0, s(0))) COUNT(node(node(z0, z1), x1), x2) -> c14(IF(isEmpty(node(node(z0, z1), x1)), isEmpty(left(node(node(z0, z1), x1))), right(node(node(z0, z1), x1)), node(z0, node(right(left(node(node(z0, z1), x1))), right(node(node(z0, z1), x1)))), x2, inc(x2)), INC(x2)) COUNT(node(empty, x1), x2) -> c14(IF(isEmpty(node(empty, x1)), isEmpty(left(node(empty, x1))), right(node(empty, x1)), node(empty, node(right(left(node(empty, x1))), right(node(empty, x1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(x0, x1), 0) -> c14(IF(isEmpty(node(x0, x1)), isEmpty(left(node(x0, x1))), right(node(x0, x1)), node(left(x0), node(right(left(node(x0, x1))), right(node(x0, x1)))), 0, s(0))) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(empty), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, 0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), 0, s(0))) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(z0), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(false, isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(x0, x1), 0) -> c14(IF(isEmpty(node(x0, x1)), isEmpty(left(node(x0, x1))), x1, node(left(left(node(x0, x1))), node(right(left(node(x0, x1))), right(node(x0, x1)))), 0, s(0))) COUNT(empty, x0) -> c14(IF(isEmpty(empty), true, right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, 0) -> c14(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), 0, s(0))) COUNT(node(node(z0, z1), x1), x2) -> c14(IF(isEmpty(node(node(z0, z1), x1)), false, right(node(node(z0, z1), x1)), node(left(left(node(node(z0, z1), x1))), node(right(left(node(node(z0, z1), x1))), right(node(node(z0, z1), x1)))), x2, inc(x2)), INC(x2)) COUNT(node(empty, x1), x2) -> c14(IF(isEmpty(node(empty, x1)), true, right(node(empty, x1)), node(left(left(node(empty, x1))), node(right(left(node(empty, x1))), right(node(empty, x1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(false, isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(x0, x1), 0) -> c14(IF(isEmpty(node(x0, x1)), isEmpty(x0), right(node(x0, x1)), node(left(left(node(x0, x1))), node(right(left(node(x0, x1))), right(node(x0, x1)))), 0, s(0))) COUNT(node(x0, x1), 0) -> c14(IF(false, isEmpty(left(node(x0, x1))), right(node(x0, x1)), node(left(left(node(x0, x1))), node(right(left(node(x0, x1))), right(node(x0, x1)))), 0, s(0))) COUNT(empty, 0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), 0, s(0))) COUNT(node(z0, z1), 0) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), 0, s(0))) COUNT(empty, 0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), 0, s(0))) COUNT(node(z0, z1), 0) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), 0, s(0))) COUNT(empty, 0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), 0, s(0))) COUNT(node(z0, z1), 0) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), 0, s(0))) COUNT(empty, 0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), 0, s(0))) COUNT(node(z0, z1), 0) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), 0, s(0))) COUNT(empty, 0) -> c8(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), 0, s(0))) COUNT(node(z0, z1), 0) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), 0, s(0))) COUNT(node(z0, z1), 0) -> c8(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), 0, s(0))) COUNT(x0, s(0)) -> c8(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(0), s(s(0)))) COUNT(x0, s(s(z0))) -> c8(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(s(z0)), s(s(inc(z0))))) COUNT(empty, s(x1)) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), s(x1), s(inc(x1)))) COUNT(node(z0, z1), s(x1)) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), s(x1), s(inc(x1)))) COUNT(empty, s(x1)) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), s(x1), s(inc(x1)))) COUNT(node(z0, z1), s(x1)) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), s(x1), s(inc(x1)))) COUNT(empty, s(x1)) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), s(x1), s(inc(x1)))) COUNT(node(z0, z1), s(x1)) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1)))) COUNT(empty, s(x1)) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), s(x1), s(inc(x1)))) COUNT(node(z0, z1), s(x1)) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1)))) COUNT(empty, s(x1)) -> c8(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), s(x1), s(inc(x1)))) COUNT(node(z0, z1), s(x1)) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1)))) COUNT(node(z0, z1), s(x1)) -> c8(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1)))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), empty)), x0, inc(x0))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), empty)), x0, inc(x0))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), empty)), x0, inc(x0))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x0, inc(x0))) COUNT(node(z0, z1), x2) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), z1)), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), z1)), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c8(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x2, inc(x2))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(empty, right(empty))), x0, inc(x0))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(empty), right(empty))), x0, inc(x0))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(empty), right(empty))), x0, inc(x0))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x0, inc(x0))) COUNT(node(node(z0, z1), x1), x2) -> c8(IF(isEmpty(node(node(z0, z1), x1)), isEmpty(left(node(node(z0, z1), x1))), right(node(node(z0, z1), x1)), node(left(left(node(node(z0, z1), x1))), node(z1, right(node(node(z0, z1), x1)))), x2, inc(x2))) COUNT(node(empty, x1), x2) -> c8(IF(isEmpty(node(empty, x1)), isEmpty(left(node(empty, x1))), right(node(empty, x1)), node(left(left(node(empty, x1))), node(empty, right(node(empty, x1)))), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(z0), right(node(z0, z1)))), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c8(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x2, inc(x2))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(empty, node(right(left(empty)), right(empty))), x0, inc(x0))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(empty), node(right(left(empty)), right(empty))), x0, inc(x0))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x0, inc(x0))) COUNT(node(node(z0, z1), x1), x2) -> c8(IF(isEmpty(node(node(z0, z1), x1)), isEmpty(left(node(node(z0, z1), x1))), right(node(node(z0, z1), x1)), node(z0, node(right(left(node(node(z0, z1), x1))), right(node(node(z0, z1), x1)))), x2, inc(x2))) COUNT(node(empty, x1), x2) -> c8(IF(isEmpty(node(empty, x1)), isEmpty(left(node(empty, x1))), right(node(empty, x1)), node(empty, node(right(left(node(empty, x1))), right(node(empty, x1)))), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c8(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), isEmpty(empty), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x0, inc(x0))) COUNT(node(z0, z1), x2) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(z0), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c8(IF(false, isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), true, right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x0, inc(x0))) COUNT(node(node(z0, z1), x1), x2) -> c8(IF(isEmpty(node(node(z0, z1), x1)), false, right(node(node(z0, z1), x1)), node(left(left(node(node(z0, z1), x1))), node(right(left(node(node(z0, z1), x1))), right(node(node(z0, z1), x1)))), x2, inc(x2))) COUNT(node(empty, x1), x2) -> c8(IF(isEmpty(node(empty, x1)), true, right(node(empty, x1)), node(left(left(node(empty, x1))), node(right(left(node(empty, x1))), right(node(empty, x1)))), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c8(IF(false, isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2))) COUNT(empty, 0) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), 0, s(0))) COUNT(node(z0, z1), 0) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), 0, s(0))) COUNT(empty, 0) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), 0, s(0))) COUNT(node(z0, z1), 0) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), 0, s(0))) COUNT(empty, 0) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), 0, s(0))) COUNT(node(z0, z1), 0) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), 0, s(0))) COUNT(empty, 0) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), 0, s(0))) COUNT(node(z0, z1), 0) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), 0, s(0))) COUNT(empty, 0) -> c9(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), 0, s(0))) COUNT(node(z0, z1), 0) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), 0, s(0))) COUNT(node(z0, z1), 0) -> c9(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), 0, s(0))) COUNT(x0, s(0)) -> c9(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(0), s(s(0)))) COUNT(x0, s(s(z0))) -> c9(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(s(z0)), s(s(inc(z0))))) COUNT(empty, s(x1)) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), s(x1), s(inc(x1)))) COUNT(node(z0, z1), s(x1)) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), s(x1), s(inc(x1)))) COUNT(empty, s(x1)) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), s(x1), s(inc(x1)))) COUNT(node(z0, z1), s(x1)) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), s(x1), s(inc(x1)))) COUNT(empty, s(x1)) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), s(x1), s(inc(x1)))) COUNT(node(z0, z1), s(x1)) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1)))) COUNT(empty, s(x1)) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), s(x1), s(inc(x1)))) COUNT(node(z0, z1), s(x1)) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1)))) COUNT(empty, s(x1)) -> c9(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), s(x1), s(inc(x1)))) COUNT(node(z0, z1), s(x1)) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1)))) COUNT(node(z0, z1), s(x1)) -> c9(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1)))) COUNT(empty, x0) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), empty)), x0, inc(x0))) COUNT(empty, x0) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), empty)), x0, inc(x0))) COUNT(empty, x0) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), empty)), x0, inc(x0))) COUNT(empty, x0) -> c9(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x0, inc(x0))) COUNT(node(z0, z1), x2) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), z1)), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), z1)), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c9(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x2, inc(x2))) COUNT(empty, x0) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(empty, right(empty))), x0, inc(x0))) COUNT(empty, x0) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(empty), right(empty))), x0, inc(x0))) COUNT(empty, x0) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(empty), right(empty))), x0, inc(x0))) COUNT(empty, x0) -> c9(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x0, inc(x0))) COUNT(node(node(z0, z1), x1), x2) -> c9(IF(isEmpty(node(node(z0, z1), x1)), isEmpty(left(node(node(z0, z1), x1))), right(node(node(z0, z1), x1)), node(left(left(node(node(z0, z1), x1))), node(z1, right(node(node(z0, z1), x1)))), x2, inc(x2))) COUNT(node(empty, x1), x2) -> c9(IF(isEmpty(node(empty, x1)), isEmpty(left(node(empty, x1))), right(node(empty, x1)), node(left(left(node(empty, x1))), node(empty, right(node(empty, x1)))), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(z0), right(node(z0, z1)))), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c9(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x2, inc(x2))) COUNT(empty, x0) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(empty, node(right(left(empty)), right(empty))), x0, inc(x0))) COUNT(empty, x0) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(empty), node(right(left(empty)), right(empty))), x0, inc(x0))) COUNT(empty, x0) -> c9(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x0, inc(x0))) COUNT(empty, x0) -> c9(IF(true, isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x0, inc(x0))) K tuples: COUNT(empty, x1) -> c14(INC(x1)) COUNT(x0, s(x1)) -> c14(INC(s(x1))) COUNT(empty, s(x1)) -> c14(INC(s(x1))) Defined Rule Symbols: isEmpty_1, left_1, right_1, inc_1 Defined Pair Symbols: INC_1, IF_6, COUNT_2 Compound Symbols: c7_1, c16_1, c17_1, c14_1, c9_1, c10_1, c11_1, c12_1, c13_1, c14_2, c8_1 ---------------------------------------- (219) CdtLeafRemovalProof (BOTH BOUNDS(ID, ID)) Removed 1 trailing nodes: COUNT(empty, x0) -> c9(IF(true, isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x0, inc(x0))) ---------------------------------------- (220) Obligation: Complexity Dependency Tuples Problem Rules: isEmpty(empty) -> true isEmpty(node(z0, z1)) -> false left(empty) -> empty left(node(z0, z1)) -> z0 right(empty) -> empty right(node(z0, z1)) -> z1 inc(0) -> s(0) inc(s(z0)) -> s(inc(z0)) Tuples: INC(s(z0)) -> c7(INC(z0)) IF(false, false, z0, z1, z2, z3) -> c16(COUNT(z1, z2)) IF(false, true, z0, z1, z2, z3) -> c17(COUNT(z0, z3)) COUNT(empty, x1) -> c14(INC(x1)) COUNT(node(z0, z1), x1) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c9(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c9(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, 0) -> c10(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(x0, s(z0)) -> c10(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0)))) COUNT(empty, x1) -> c10(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1))) COUNT(empty, x1) -> c10(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c10(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c10(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c10(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, 0) -> c11(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(x0, s(z0)) -> c11(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0)))) COUNT(empty, x1) -> c11(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1))) COUNT(empty, x1) -> c11(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c11(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c11(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c11(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, 0) -> c12(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(x0, s(z0)) -> c12(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0)))) COUNT(empty, x1) -> c12(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1))) COUNT(empty, x1) -> c12(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c12(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c12(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c12(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, 0) -> c13(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(x0, s(z0)) -> c13(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0)))) COUNT(empty, x1) -> c13(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1))) COUNT(empty, x1) -> c13(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c13(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c13(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c13(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, s(0)) -> c14(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(0), s(s(0))), INC(s(0))) COUNT(x0, s(s(z0))) -> c14(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(s(z0)), s(s(inc(z0)))), INC(s(s(z0)))) COUNT(empty, s(x1)) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), s(x1), s(inc(x1))), INC(s(x1))) COUNT(empty, s(x1)) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(empty, s(x1)) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(empty, s(x1)) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(empty, s(x1)) -> c14(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(x0, s(x1)) -> c14(INC(s(x1))) COUNT(empty, s(x1)) -> c14(INC(s(x1))) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), empty)), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), empty)), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), empty)), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x0, inc(x0)), INC(x0)) COUNT(empty, 0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), 0, s(0))) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), z1)), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), z1)), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x2, inc(x2)), INC(x2)) COUNT(node(x0, x1), 0) -> c14(IF(isEmpty(node(x0, x1)), isEmpty(left(node(x0, x1))), right(node(x0, x1)), node(left(left(node(x0, x1))), node(right(left(node(x0, x1))), x1)), 0, s(0))) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(empty, right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(empty), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(empty), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, 0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), 0, s(0))) COUNT(node(node(z0, z1), x1), x2) -> c14(IF(isEmpty(node(node(z0, z1), x1)), isEmpty(left(node(node(z0, z1), x1))), right(node(node(z0, z1), x1)), node(left(left(node(node(z0, z1), x1))), node(z1, right(node(node(z0, z1), x1)))), x2, inc(x2)), INC(x2)) COUNT(node(empty, x1), x2) -> c14(IF(isEmpty(node(empty, x1)), isEmpty(left(node(empty, x1))), right(node(empty, x1)), node(left(left(node(empty, x1))), node(empty, right(node(empty, x1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(z0), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(x0, x1), 0) -> c14(IF(isEmpty(node(x0, x1)), isEmpty(left(node(x0, x1))), right(node(x0, x1)), node(left(left(node(x0, x1))), node(right(x0), right(node(x0, x1)))), 0, s(0))) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(empty, node(right(left(empty)), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(empty), node(right(left(empty)), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, 0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), 0, s(0))) COUNT(node(node(z0, z1), x1), x2) -> c14(IF(isEmpty(node(node(z0, z1), x1)), isEmpty(left(node(node(z0, z1), x1))), right(node(node(z0, z1), x1)), node(z0, node(right(left(node(node(z0, z1), x1))), right(node(node(z0, z1), x1)))), x2, inc(x2)), INC(x2)) COUNT(node(empty, x1), x2) -> c14(IF(isEmpty(node(empty, x1)), isEmpty(left(node(empty, x1))), right(node(empty, x1)), node(empty, node(right(left(node(empty, x1))), right(node(empty, x1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(x0, x1), 0) -> c14(IF(isEmpty(node(x0, x1)), isEmpty(left(node(x0, x1))), right(node(x0, x1)), node(left(x0), node(right(left(node(x0, x1))), right(node(x0, x1)))), 0, s(0))) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(empty), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, 0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), 0, s(0))) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(z0), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(false, isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(x0, x1), 0) -> c14(IF(isEmpty(node(x0, x1)), isEmpty(left(node(x0, x1))), x1, node(left(left(node(x0, x1))), node(right(left(node(x0, x1))), right(node(x0, x1)))), 0, s(0))) COUNT(empty, x0) -> c14(IF(isEmpty(empty), true, right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, 0) -> c14(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), 0, s(0))) COUNT(node(node(z0, z1), x1), x2) -> c14(IF(isEmpty(node(node(z0, z1), x1)), false, right(node(node(z0, z1), x1)), node(left(left(node(node(z0, z1), x1))), node(right(left(node(node(z0, z1), x1))), right(node(node(z0, z1), x1)))), x2, inc(x2)), INC(x2)) COUNT(node(empty, x1), x2) -> c14(IF(isEmpty(node(empty, x1)), true, right(node(empty, x1)), node(left(left(node(empty, x1))), node(right(left(node(empty, x1))), right(node(empty, x1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(false, isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(x0, x1), 0) -> c14(IF(isEmpty(node(x0, x1)), isEmpty(x0), right(node(x0, x1)), node(left(left(node(x0, x1))), node(right(left(node(x0, x1))), right(node(x0, x1)))), 0, s(0))) COUNT(node(x0, x1), 0) -> c14(IF(false, isEmpty(left(node(x0, x1))), right(node(x0, x1)), node(left(left(node(x0, x1))), node(right(left(node(x0, x1))), right(node(x0, x1)))), 0, s(0))) COUNT(empty, 0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), 0, s(0))) COUNT(node(z0, z1), 0) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), 0, s(0))) COUNT(empty, 0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), 0, s(0))) COUNT(node(z0, z1), 0) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), 0, s(0))) COUNT(empty, 0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), 0, s(0))) COUNT(node(z0, z1), 0) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), 0, s(0))) COUNT(empty, 0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), 0, s(0))) COUNT(node(z0, z1), 0) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), 0, s(0))) COUNT(empty, 0) -> c8(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), 0, s(0))) COUNT(node(z0, z1), 0) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), 0, s(0))) COUNT(node(z0, z1), 0) -> c8(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), 0, s(0))) COUNT(x0, s(0)) -> c8(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(0), s(s(0)))) COUNT(x0, s(s(z0))) -> c8(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(s(z0)), s(s(inc(z0))))) COUNT(empty, s(x1)) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), s(x1), s(inc(x1)))) COUNT(node(z0, z1), s(x1)) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), s(x1), s(inc(x1)))) COUNT(empty, s(x1)) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), s(x1), s(inc(x1)))) COUNT(node(z0, z1), s(x1)) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), s(x1), s(inc(x1)))) COUNT(empty, s(x1)) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), s(x1), s(inc(x1)))) COUNT(node(z0, z1), s(x1)) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1)))) COUNT(empty, s(x1)) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), s(x1), s(inc(x1)))) COUNT(node(z0, z1), s(x1)) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1)))) COUNT(empty, s(x1)) -> c8(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), s(x1), s(inc(x1)))) COUNT(node(z0, z1), s(x1)) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1)))) COUNT(node(z0, z1), s(x1)) -> c8(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1)))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), empty)), x0, inc(x0))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), empty)), x0, inc(x0))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), empty)), x0, inc(x0))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x0, inc(x0))) COUNT(node(z0, z1), x2) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), z1)), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), z1)), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c8(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x2, inc(x2))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(empty, right(empty))), x0, inc(x0))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(empty), right(empty))), x0, inc(x0))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(empty), right(empty))), x0, inc(x0))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x0, inc(x0))) COUNT(node(node(z0, z1), x1), x2) -> c8(IF(isEmpty(node(node(z0, z1), x1)), isEmpty(left(node(node(z0, z1), x1))), right(node(node(z0, z1), x1)), node(left(left(node(node(z0, z1), x1))), node(z1, right(node(node(z0, z1), x1)))), x2, inc(x2))) COUNT(node(empty, x1), x2) -> c8(IF(isEmpty(node(empty, x1)), isEmpty(left(node(empty, x1))), right(node(empty, x1)), node(left(left(node(empty, x1))), node(empty, right(node(empty, x1)))), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(z0), right(node(z0, z1)))), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c8(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x2, inc(x2))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(empty, node(right(left(empty)), right(empty))), x0, inc(x0))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(empty), node(right(left(empty)), right(empty))), x0, inc(x0))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x0, inc(x0))) COUNT(node(node(z0, z1), x1), x2) -> c8(IF(isEmpty(node(node(z0, z1), x1)), isEmpty(left(node(node(z0, z1), x1))), right(node(node(z0, z1), x1)), node(z0, node(right(left(node(node(z0, z1), x1))), right(node(node(z0, z1), x1)))), x2, inc(x2))) COUNT(node(empty, x1), x2) -> c8(IF(isEmpty(node(empty, x1)), isEmpty(left(node(empty, x1))), right(node(empty, x1)), node(empty, node(right(left(node(empty, x1))), right(node(empty, x1)))), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c8(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), isEmpty(empty), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x0, inc(x0))) COUNT(node(z0, z1), x2) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(z0), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c8(IF(false, isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), true, right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x0, inc(x0))) COUNT(node(node(z0, z1), x1), x2) -> c8(IF(isEmpty(node(node(z0, z1), x1)), false, right(node(node(z0, z1), x1)), node(left(left(node(node(z0, z1), x1))), node(right(left(node(node(z0, z1), x1))), right(node(node(z0, z1), x1)))), x2, inc(x2))) COUNT(node(empty, x1), x2) -> c8(IF(isEmpty(node(empty, x1)), true, right(node(empty, x1)), node(left(left(node(empty, x1))), node(right(left(node(empty, x1))), right(node(empty, x1)))), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c8(IF(false, isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2))) COUNT(empty, 0) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), 0, s(0))) COUNT(node(z0, z1), 0) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), 0, s(0))) COUNT(empty, 0) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), 0, s(0))) COUNT(node(z0, z1), 0) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), 0, s(0))) COUNT(empty, 0) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), 0, s(0))) COUNT(node(z0, z1), 0) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), 0, s(0))) COUNT(empty, 0) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), 0, s(0))) COUNT(node(z0, z1), 0) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), 0, s(0))) COUNT(empty, 0) -> c9(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), 0, s(0))) COUNT(node(z0, z1), 0) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), 0, s(0))) COUNT(node(z0, z1), 0) -> c9(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), 0, s(0))) COUNT(x0, s(0)) -> c9(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(0), s(s(0)))) COUNT(x0, s(s(z0))) -> c9(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(s(z0)), s(s(inc(z0))))) COUNT(empty, s(x1)) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), s(x1), s(inc(x1)))) COUNT(node(z0, z1), s(x1)) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), s(x1), s(inc(x1)))) COUNT(empty, s(x1)) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), s(x1), s(inc(x1)))) COUNT(node(z0, z1), s(x1)) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), s(x1), s(inc(x1)))) COUNT(empty, s(x1)) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), s(x1), s(inc(x1)))) COUNT(node(z0, z1), s(x1)) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1)))) COUNT(empty, s(x1)) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), s(x1), s(inc(x1)))) COUNT(node(z0, z1), s(x1)) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1)))) COUNT(empty, s(x1)) -> c9(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), s(x1), s(inc(x1)))) COUNT(node(z0, z1), s(x1)) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1)))) COUNT(node(z0, z1), s(x1)) -> c9(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1)))) COUNT(empty, x0) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), empty)), x0, inc(x0))) COUNT(empty, x0) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), empty)), x0, inc(x0))) COUNT(empty, x0) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), empty)), x0, inc(x0))) COUNT(empty, x0) -> c9(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x0, inc(x0))) COUNT(node(z0, z1), x2) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), z1)), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), z1)), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c9(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x2, inc(x2))) COUNT(empty, x0) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(empty, right(empty))), x0, inc(x0))) COUNT(empty, x0) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(empty), right(empty))), x0, inc(x0))) COUNT(empty, x0) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(empty), right(empty))), x0, inc(x0))) COUNT(empty, x0) -> c9(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x0, inc(x0))) COUNT(node(node(z0, z1), x1), x2) -> c9(IF(isEmpty(node(node(z0, z1), x1)), isEmpty(left(node(node(z0, z1), x1))), right(node(node(z0, z1), x1)), node(left(left(node(node(z0, z1), x1))), node(z1, right(node(node(z0, z1), x1)))), x2, inc(x2))) COUNT(node(empty, x1), x2) -> c9(IF(isEmpty(node(empty, x1)), isEmpty(left(node(empty, x1))), right(node(empty, x1)), node(left(left(node(empty, x1))), node(empty, right(node(empty, x1)))), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(z0), right(node(z0, z1)))), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c9(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x2, inc(x2))) COUNT(empty, x0) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(empty, node(right(left(empty)), right(empty))), x0, inc(x0))) COUNT(empty, x0) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(empty), node(right(left(empty)), right(empty))), x0, inc(x0))) COUNT(empty, x0) -> c9(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x0, inc(x0))) S tuples: INC(s(z0)) -> c7(INC(z0)) IF(false, false, z0, z1, z2, z3) -> c16(COUNT(z1, z2)) IF(false, true, z0, z1, z2, z3) -> c17(COUNT(z0, z3)) COUNT(node(z0, z1), x1) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c9(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c9(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, 0) -> c10(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(x0, s(z0)) -> c10(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0)))) COUNT(empty, x1) -> c10(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1))) COUNT(empty, x1) -> c10(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c10(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c10(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c10(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, 0) -> c11(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(x0, s(z0)) -> c11(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0)))) COUNT(empty, x1) -> c11(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1))) COUNT(empty, x1) -> c11(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c11(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c11(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c11(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, 0) -> c12(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(x0, s(z0)) -> c12(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0)))) COUNT(empty, x1) -> c12(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1))) COUNT(empty, x1) -> c12(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c12(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c12(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c12(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, 0) -> c13(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(x0, s(z0)) -> c13(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0)))) COUNT(empty, x1) -> c13(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1))) COUNT(empty, x1) -> c13(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c13(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c13(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c13(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, s(0)) -> c14(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(0), s(s(0))), INC(s(0))) COUNT(x0, s(s(z0))) -> c14(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(s(z0)), s(s(inc(z0)))), INC(s(s(z0)))) COUNT(empty, s(x1)) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), s(x1), s(inc(x1))), INC(s(x1))) COUNT(empty, s(x1)) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(empty, s(x1)) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(empty, s(x1)) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(empty, s(x1)) -> c14(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), empty)), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), empty)), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), empty)), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x0, inc(x0)), INC(x0)) COUNT(empty, 0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), 0, s(0))) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), z1)), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), z1)), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x2, inc(x2)), INC(x2)) COUNT(node(x0, x1), 0) -> c14(IF(isEmpty(node(x0, x1)), isEmpty(left(node(x0, x1))), right(node(x0, x1)), node(left(left(node(x0, x1))), node(right(left(node(x0, x1))), x1)), 0, s(0))) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(empty, right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(empty), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(empty), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, 0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), 0, s(0))) COUNT(node(node(z0, z1), x1), x2) -> c14(IF(isEmpty(node(node(z0, z1), x1)), isEmpty(left(node(node(z0, z1), x1))), right(node(node(z0, z1), x1)), node(left(left(node(node(z0, z1), x1))), node(z1, right(node(node(z0, z1), x1)))), x2, inc(x2)), INC(x2)) COUNT(node(empty, x1), x2) -> c14(IF(isEmpty(node(empty, x1)), isEmpty(left(node(empty, x1))), right(node(empty, x1)), node(left(left(node(empty, x1))), node(empty, right(node(empty, x1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(z0), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(x0, x1), 0) -> c14(IF(isEmpty(node(x0, x1)), isEmpty(left(node(x0, x1))), right(node(x0, x1)), node(left(left(node(x0, x1))), node(right(x0), right(node(x0, x1)))), 0, s(0))) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(empty, node(right(left(empty)), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(empty), node(right(left(empty)), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, 0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), 0, s(0))) COUNT(node(node(z0, z1), x1), x2) -> c14(IF(isEmpty(node(node(z0, z1), x1)), isEmpty(left(node(node(z0, z1), x1))), right(node(node(z0, z1), x1)), node(z0, node(right(left(node(node(z0, z1), x1))), right(node(node(z0, z1), x1)))), x2, inc(x2)), INC(x2)) COUNT(node(empty, x1), x2) -> c14(IF(isEmpty(node(empty, x1)), isEmpty(left(node(empty, x1))), right(node(empty, x1)), node(empty, node(right(left(node(empty, x1))), right(node(empty, x1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(x0, x1), 0) -> c14(IF(isEmpty(node(x0, x1)), isEmpty(left(node(x0, x1))), right(node(x0, x1)), node(left(x0), node(right(left(node(x0, x1))), right(node(x0, x1)))), 0, s(0))) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(empty), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, 0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), 0, s(0))) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(z0), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(false, isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(x0, x1), 0) -> c14(IF(isEmpty(node(x0, x1)), isEmpty(left(node(x0, x1))), x1, node(left(left(node(x0, x1))), node(right(left(node(x0, x1))), right(node(x0, x1)))), 0, s(0))) COUNT(empty, x0) -> c14(IF(isEmpty(empty), true, right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, 0) -> c14(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), 0, s(0))) COUNT(node(node(z0, z1), x1), x2) -> c14(IF(isEmpty(node(node(z0, z1), x1)), false, right(node(node(z0, z1), x1)), node(left(left(node(node(z0, z1), x1))), node(right(left(node(node(z0, z1), x1))), right(node(node(z0, z1), x1)))), x2, inc(x2)), INC(x2)) COUNT(node(empty, x1), x2) -> c14(IF(isEmpty(node(empty, x1)), true, right(node(empty, x1)), node(left(left(node(empty, x1))), node(right(left(node(empty, x1))), right(node(empty, x1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(false, isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(x0, x1), 0) -> c14(IF(isEmpty(node(x0, x1)), isEmpty(x0), right(node(x0, x1)), node(left(left(node(x0, x1))), node(right(left(node(x0, x1))), right(node(x0, x1)))), 0, s(0))) COUNT(node(x0, x1), 0) -> c14(IF(false, isEmpty(left(node(x0, x1))), right(node(x0, x1)), node(left(left(node(x0, x1))), node(right(left(node(x0, x1))), right(node(x0, x1)))), 0, s(0))) COUNT(empty, 0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), 0, s(0))) COUNT(node(z0, z1), 0) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), 0, s(0))) COUNT(empty, 0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), 0, s(0))) COUNT(node(z0, z1), 0) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), 0, s(0))) COUNT(empty, 0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), 0, s(0))) COUNT(node(z0, z1), 0) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), 0, s(0))) COUNT(empty, 0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), 0, s(0))) COUNT(node(z0, z1), 0) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), 0, s(0))) COUNT(empty, 0) -> c8(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), 0, s(0))) COUNT(node(z0, z1), 0) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), 0, s(0))) COUNT(node(z0, z1), 0) -> c8(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), 0, s(0))) COUNT(x0, s(0)) -> c8(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(0), s(s(0)))) COUNT(x0, s(s(z0))) -> c8(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(s(z0)), s(s(inc(z0))))) COUNT(empty, s(x1)) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), s(x1), s(inc(x1)))) COUNT(node(z0, z1), s(x1)) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), s(x1), s(inc(x1)))) COUNT(empty, s(x1)) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), s(x1), s(inc(x1)))) COUNT(node(z0, z1), s(x1)) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), s(x1), s(inc(x1)))) COUNT(empty, s(x1)) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), s(x1), s(inc(x1)))) COUNT(node(z0, z1), s(x1)) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1)))) COUNT(empty, s(x1)) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), s(x1), s(inc(x1)))) COUNT(node(z0, z1), s(x1)) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1)))) COUNT(empty, s(x1)) -> c8(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), s(x1), s(inc(x1)))) COUNT(node(z0, z1), s(x1)) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1)))) COUNT(node(z0, z1), s(x1)) -> c8(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1)))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), empty)), x0, inc(x0))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), empty)), x0, inc(x0))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), empty)), x0, inc(x0))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x0, inc(x0))) COUNT(node(z0, z1), x2) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), z1)), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), z1)), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c8(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x2, inc(x2))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(empty, right(empty))), x0, inc(x0))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(empty), right(empty))), x0, inc(x0))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(empty), right(empty))), x0, inc(x0))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x0, inc(x0))) COUNT(node(node(z0, z1), x1), x2) -> c8(IF(isEmpty(node(node(z0, z1), x1)), isEmpty(left(node(node(z0, z1), x1))), right(node(node(z0, z1), x1)), node(left(left(node(node(z0, z1), x1))), node(z1, right(node(node(z0, z1), x1)))), x2, inc(x2))) COUNT(node(empty, x1), x2) -> c8(IF(isEmpty(node(empty, x1)), isEmpty(left(node(empty, x1))), right(node(empty, x1)), node(left(left(node(empty, x1))), node(empty, right(node(empty, x1)))), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(z0), right(node(z0, z1)))), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c8(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x2, inc(x2))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(empty, node(right(left(empty)), right(empty))), x0, inc(x0))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(empty), node(right(left(empty)), right(empty))), x0, inc(x0))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x0, inc(x0))) COUNT(node(node(z0, z1), x1), x2) -> c8(IF(isEmpty(node(node(z0, z1), x1)), isEmpty(left(node(node(z0, z1), x1))), right(node(node(z0, z1), x1)), node(z0, node(right(left(node(node(z0, z1), x1))), right(node(node(z0, z1), x1)))), x2, inc(x2))) COUNT(node(empty, x1), x2) -> c8(IF(isEmpty(node(empty, x1)), isEmpty(left(node(empty, x1))), right(node(empty, x1)), node(empty, node(right(left(node(empty, x1))), right(node(empty, x1)))), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c8(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), isEmpty(empty), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x0, inc(x0))) COUNT(node(z0, z1), x2) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(z0), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c8(IF(false, isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), true, right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x0, inc(x0))) COUNT(node(node(z0, z1), x1), x2) -> c8(IF(isEmpty(node(node(z0, z1), x1)), false, right(node(node(z0, z1), x1)), node(left(left(node(node(z0, z1), x1))), node(right(left(node(node(z0, z1), x1))), right(node(node(z0, z1), x1)))), x2, inc(x2))) COUNT(node(empty, x1), x2) -> c8(IF(isEmpty(node(empty, x1)), true, right(node(empty, x1)), node(left(left(node(empty, x1))), node(right(left(node(empty, x1))), right(node(empty, x1)))), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c8(IF(false, isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2))) COUNT(empty, 0) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), 0, s(0))) COUNT(node(z0, z1), 0) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), 0, s(0))) COUNT(empty, 0) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), 0, s(0))) COUNT(node(z0, z1), 0) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), 0, s(0))) COUNT(empty, 0) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), 0, s(0))) COUNT(node(z0, z1), 0) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), 0, s(0))) COUNT(empty, 0) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), 0, s(0))) COUNT(node(z0, z1), 0) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), 0, s(0))) COUNT(empty, 0) -> c9(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), 0, s(0))) COUNT(node(z0, z1), 0) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), 0, s(0))) COUNT(node(z0, z1), 0) -> c9(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), 0, s(0))) COUNT(x0, s(0)) -> c9(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(0), s(s(0)))) COUNT(x0, s(s(z0))) -> c9(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(s(z0)), s(s(inc(z0))))) COUNT(empty, s(x1)) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), s(x1), s(inc(x1)))) COUNT(node(z0, z1), s(x1)) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), s(x1), s(inc(x1)))) COUNT(empty, s(x1)) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), s(x1), s(inc(x1)))) COUNT(node(z0, z1), s(x1)) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), s(x1), s(inc(x1)))) COUNT(empty, s(x1)) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), s(x1), s(inc(x1)))) COUNT(node(z0, z1), s(x1)) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1)))) COUNT(empty, s(x1)) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), s(x1), s(inc(x1)))) COUNT(node(z0, z1), s(x1)) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1)))) COUNT(empty, s(x1)) -> c9(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), s(x1), s(inc(x1)))) COUNT(node(z0, z1), s(x1)) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1)))) COUNT(node(z0, z1), s(x1)) -> c9(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1)))) COUNT(empty, x0) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), empty)), x0, inc(x0))) COUNT(empty, x0) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), empty)), x0, inc(x0))) COUNT(empty, x0) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), empty)), x0, inc(x0))) COUNT(empty, x0) -> c9(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x0, inc(x0))) COUNT(node(z0, z1), x2) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), z1)), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), z1)), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c9(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x2, inc(x2))) COUNT(empty, x0) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(empty, right(empty))), x0, inc(x0))) COUNT(empty, x0) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(empty), right(empty))), x0, inc(x0))) COUNT(empty, x0) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(empty), right(empty))), x0, inc(x0))) COUNT(empty, x0) -> c9(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x0, inc(x0))) COUNT(node(node(z0, z1), x1), x2) -> c9(IF(isEmpty(node(node(z0, z1), x1)), isEmpty(left(node(node(z0, z1), x1))), right(node(node(z0, z1), x1)), node(left(left(node(node(z0, z1), x1))), node(z1, right(node(node(z0, z1), x1)))), x2, inc(x2))) COUNT(node(empty, x1), x2) -> c9(IF(isEmpty(node(empty, x1)), isEmpty(left(node(empty, x1))), right(node(empty, x1)), node(left(left(node(empty, x1))), node(empty, right(node(empty, x1)))), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(z0), right(node(z0, z1)))), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c9(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x2, inc(x2))) COUNT(empty, x0) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(empty, node(right(left(empty)), right(empty))), x0, inc(x0))) COUNT(empty, x0) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(empty), node(right(left(empty)), right(empty))), x0, inc(x0))) COUNT(empty, x0) -> c9(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x0, inc(x0))) K tuples: COUNT(empty, x1) -> c14(INC(x1)) COUNT(x0, s(x1)) -> c14(INC(s(x1))) COUNT(empty, s(x1)) -> c14(INC(s(x1))) Defined Rule Symbols: isEmpty_1, left_1, right_1, inc_1 Defined Pair Symbols: INC_1, IF_6, COUNT_2 Compound Symbols: c7_1, c16_1, c17_1, c14_1, c9_1, c10_1, c11_1, c12_1, c13_1, c14_2, c8_1 ---------------------------------------- (221) CdtNarrowingProof (BOTH BOUNDS(ID, ID)) Use narrowing to replace COUNT(node(z0, z1), x1) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) by COUNT(node(x0, x1), 0) -> c9(IF(isEmpty(node(x0, x1)), isEmpty(left(node(x0, x1))), right(node(x0, x1)), node(left(x0), node(right(left(node(x0, x1))), right(node(x0, x1)))), 0, s(0))) COUNT(node(x0, x1), s(z0)) -> c9(IF(isEmpty(node(x0, x1)), isEmpty(left(node(x0, x1))), right(node(x0, x1)), node(left(x0), node(right(left(node(x0, x1))), right(node(x0, x1)))), s(z0), s(inc(z0)))) COUNT(node(z0, z1), x2) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), z1)), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(z0), right(node(z0, z1)))), x2, inc(x2))) COUNT(node(node(z0, z1), x1), x2) -> c9(IF(isEmpty(node(node(z0, z1), x1)), isEmpty(left(node(node(z0, z1), x1))), right(node(node(z0, z1), x1)), node(z0, node(right(left(node(node(z0, z1), x1))), right(node(node(z0, z1), x1)))), x2, inc(x2))) COUNT(node(empty, x1), x2) -> c9(IF(isEmpty(node(empty, x1)), isEmpty(left(node(empty, x1))), right(node(empty, x1)), node(empty, node(right(left(node(empty, x1))), right(node(empty, x1)))), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c9(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2))) ---------------------------------------- (222) Obligation: Complexity Dependency Tuples Problem Rules: isEmpty(empty) -> true isEmpty(node(z0, z1)) -> false left(empty) -> empty left(node(z0, z1)) -> z0 right(empty) -> empty right(node(z0, z1)) -> z1 inc(0) -> s(0) inc(s(z0)) -> s(inc(z0)) Tuples: INC(s(z0)) -> c7(INC(z0)) IF(false, false, z0, z1, z2, z3) -> c16(COUNT(z1, z2)) IF(false, true, z0, z1, z2, z3) -> c17(COUNT(z0, z3)) COUNT(empty, x1) -> c14(INC(x1)) COUNT(empty, x1) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c9(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c9(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, 0) -> c10(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(x0, s(z0)) -> c10(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0)))) COUNT(empty, x1) -> c10(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1))) COUNT(empty, x1) -> c10(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c10(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c10(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c10(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, 0) -> c11(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(x0, s(z0)) -> c11(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0)))) COUNT(empty, x1) -> c11(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1))) COUNT(empty, x1) -> c11(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c11(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c11(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c11(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, 0) -> c12(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(x0, s(z0)) -> c12(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0)))) COUNT(empty, x1) -> c12(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1))) COUNT(empty, x1) -> c12(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c12(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c12(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c12(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, 0) -> c13(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(x0, s(z0)) -> c13(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0)))) COUNT(empty, x1) -> c13(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1))) COUNT(empty, x1) -> c13(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c13(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c13(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c13(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, s(0)) -> c14(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(0), s(s(0))), INC(s(0))) COUNT(x0, s(s(z0))) -> c14(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(s(z0)), s(s(inc(z0)))), INC(s(s(z0)))) COUNT(empty, s(x1)) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), s(x1), s(inc(x1))), INC(s(x1))) COUNT(empty, s(x1)) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(empty, s(x1)) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(empty, s(x1)) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(empty, s(x1)) -> c14(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(x0, s(x1)) -> c14(INC(s(x1))) COUNT(empty, s(x1)) -> c14(INC(s(x1))) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), empty)), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), empty)), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), empty)), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x0, inc(x0)), INC(x0)) COUNT(empty, 0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), 0, s(0))) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), z1)), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), z1)), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x2, inc(x2)), INC(x2)) COUNT(node(x0, x1), 0) -> c14(IF(isEmpty(node(x0, x1)), isEmpty(left(node(x0, x1))), right(node(x0, x1)), node(left(left(node(x0, x1))), node(right(left(node(x0, x1))), x1)), 0, s(0))) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(empty, right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(empty), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(empty), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, 0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), 0, s(0))) COUNT(node(node(z0, z1), x1), x2) -> c14(IF(isEmpty(node(node(z0, z1), x1)), isEmpty(left(node(node(z0, z1), x1))), right(node(node(z0, z1), x1)), node(left(left(node(node(z0, z1), x1))), node(z1, right(node(node(z0, z1), x1)))), x2, inc(x2)), INC(x2)) COUNT(node(empty, x1), x2) -> c14(IF(isEmpty(node(empty, x1)), isEmpty(left(node(empty, x1))), right(node(empty, x1)), node(left(left(node(empty, x1))), node(empty, right(node(empty, x1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(z0), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(x0, x1), 0) -> c14(IF(isEmpty(node(x0, x1)), isEmpty(left(node(x0, x1))), right(node(x0, x1)), node(left(left(node(x0, x1))), node(right(x0), right(node(x0, x1)))), 0, s(0))) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(empty, node(right(left(empty)), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(empty), node(right(left(empty)), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, 0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), 0, s(0))) COUNT(node(node(z0, z1), x1), x2) -> c14(IF(isEmpty(node(node(z0, z1), x1)), isEmpty(left(node(node(z0, z1), x1))), right(node(node(z0, z1), x1)), node(z0, node(right(left(node(node(z0, z1), x1))), right(node(node(z0, z1), x1)))), x2, inc(x2)), INC(x2)) COUNT(node(empty, x1), x2) -> c14(IF(isEmpty(node(empty, x1)), isEmpty(left(node(empty, x1))), right(node(empty, x1)), node(empty, node(right(left(node(empty, x1))), right(node(empty, x1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(x0, x1), 0) -> c14(IF(isEmpty(node(x0, x1)), isEmpty(left(node(x0, x1))), right(node(x0, x1)), node(left(x0), node(right(left(node(x0, x1))), right(node(x0, x1)))), 0, s(0))) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(empty), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, 0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), 0, s(0))) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(z0), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(false, isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(x0, x1), 0) -> c14(IF(isEmpty(node(x0, x1)), isEmpty(left(node(x0, x1))), x1, node(left(left(node(x0, x1))), node(right(left(node(x0, x1))), right(node(x0, x1)))), 0, s(0))) COUNT(empty, x0) -> c14(IF(isEmpty(empty), true, right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, 0) -> c14(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), 0, s(0))) COUNT(node(node(z0, z1), x1), x2) -> c14(IF(isEmpty(node(node(z0, z1), x1)), false, right(node(node(z0, z1), x1)), node(left(left(node(node(z0, z1), x1))), node(right(left(node(node(z0, z1), x1))), right(node(node(z0, z1), x1)))), x2, inc(x2)), INC(x2)) COUNT(node(empty, x1), x2) -> c14(IF(isEmpty(node(empty, x1)), true, right(node(empty, x1)), node(left(left(node(empty, x1))), node(right(left(node(empty, x1))), right(node(empty, x1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(false, isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(x0, x1), 0) -> c14(IF(isEmpty(node(x0, x1)), isEmpty(x0), right(node(x0, x1)), node(left(left(node(x0, x1))), node(right(left(node(x0, x1))), right(node(x0, x1)))), 0, s(0))) COUNT(node(x0, x1), 0) -> c14(IF(false, isEmpty(left(node(x0, x1))), right(node(x0, x1)), node(left(left(node(x0, x1))), node(right(left(node(x0, x1))), right(node(x0, x1)))), 0, s(0))) COUNT(empty, 0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), 0, s(0))) COUNT(node(z0, z1), 0) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), 0, s(0))) COUNT(empty, 0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), 0, s(0))) COUNT(node(z0, z1), 0) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), 0, s(0))) COUNT(empty, 0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), 0, s(0))) COUNT(node(z0, z1), 0) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), 0, s(0))) COUNT(empty, 0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), 0, s(0))) COUNT(node(z0, z1), 0) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), 0, s(0))) COUNT(empty, 0) -> c8(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), 0, s(0))) COUNT(node(z0, z1), 0) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), 0, s(0))) COUNT(node(z0, z1), 0) -> c8(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), 0, s(0))) COUNT(x0, s(0)) -> c8(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(0), s(s(0)))) COUNT(x0, s(s(z0))) -> c8(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(s(z0)), s(s(inc(z0))))) COUNT(empty, s(x1)) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), s(x1), s(inc(x1)))) COUNT(node(z0, z1), s(x1)) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), s(x1), s(inc(x1)))) COUNT(empty, s(x1)) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), s(x1), s(inc(x1)))) COUNT(node(z0, z1), s(x1)) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), s(x1), s(inc(x1)))) COUNT(empty, s(x1)) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), s(x1), s(inc(x1)))) COUNT(node(z0, z1), s(x1)) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1)))) COUNT(empty, s(x1)) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), s(x1), s(inc(x1)))) COUNT(node(z0, z1), s(x1)) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1)))) COUNT(empty, s(x1)) -> c8(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), s(x1), s(inc(x1)))) COUNT(node(z0, z1), s(x1)) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1)))) COUNT(node(z0, z1), s(x1)) -> c8(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1)))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), empty)), x0, inc(x0))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), empty)), x0, inc(x0))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), empty)), x0, inc(x0))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x0, inc(x0))) COUNT(node(z0, z1), x2) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), z1)), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), z1)), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c8(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x2, inc(x2))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(empty, right(empty))), x0, inc(x0))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(empty), right(empty))), x0, inc(x0))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(empty), right(empty))), x0, inc(x0))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x0, inc(x0))) COUNT(node(node(z0, z1), x1), x2) -> c8(IF(isEmpty(node(node(z0, z1), x1)), isEmpty(left(node(node(z0, z1), x1))), right(node(node(z0, z1), x1)), node(left(left(node(node(z0, z1), x1))), node(z1, right(node(node(z0, z1), x1)))), x2, inc(x2))) COUNT(node(empty, x1), x2) -> c8(IF(isEmpty(node(empty, x1)), isEmpty(left(node(empty, x1))), right(node(empty, x1)), node(left(left(node(empty, x1))), node(empty, right(node(empty, x1)))), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(z0), right(node(z0, z1)))), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c8(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x2, inc(x2))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(empty, node(right(left(empty)), right(empty))), x0, inc(x0))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(empty), node(right(left(empty)), right(empty))), x0, inc(x0))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x0, inc(x0))) COUNT(node(node(z0, z1), x1), x2) -> c8(IF(isEmpty(node(node(z0, z1), x1)), isEmpty(left(node(node(z0, z1), x1))), right(node(node(z0, z1), x1)), node(z0, node(right(left(node(node(z0, z1), x1))), right(node(node(z0, z1), x1)))), x2, inc(x2))) COUNT(node(empty, x1), x2) -> c8(IF(isEmpty(node(empty, x1)), isEmpty(left(node(empty, x1))), right(node(empty, x1)), node(empty, node(right(left(node(empty, x1))), right(node(empty, x1)))), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c8(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), isEmpty(empty), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x0, inc(x0))) COUNT(node(z0, z1), x2) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(z0), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c8(IF(false, isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), true, right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x0, inc(x0))) COUNT(node(node(z0, z1), x1), x2) -> c8(IF(isEmpty(node(node(z0, z1), x1)), false, right(node(node(z0, z1), x1)), node(left(left(node(node(z0, z1), x1))), node(right(left(node(node(z0, z1), x1))), right(node(node(z0, z1), x1)))), x2, inc(x2))) COUNT(node(empty, x1), x2) -> c8(IF(isEmpty(node(empty, x1)), true, right(node(empty, x1)), node(left(left(node(empty, x1))), node(right(left(node(empty, x1))), right(node(empty, x1)))), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c8(IF(false, isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2))) COUNT(empty, 0) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), 0, s(0))) COUNT(node(z0, z1), 0) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), 0, s(0))) COUNT(empty, 0) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), 0, s(0))) COUNT(node(z0, z1), 0) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), 0, s(0))) COUNT(empty, 0) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), 0, s(0))) COUNT(node(z0, z1), 0) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), 0, s(0))) COUNT(empty, 0) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), 0, s(0))) COUNT(node(z0, z1), 0) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), 0, s(0))) COUNT(empty, 0) -> c9(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), 0, s(0))) COUNT(node(z0, z1), 0) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), 0, s(0))) COUNT(node(z0, z1), 0) -> c9(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), 0, s(0))) COUNT(x0, s(0)) -> c9(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(0), s(s(0)))) COUNT(x0, s(s(z0))) -> c9(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(s(z0)), s(s(inc(z0))))) COUNT(empty, s(x1)) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), s(x1), s(inc(x1)))) COUNT(node(z0, z1), s(x1)) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), s(x1), s(inc(x1)))) COUNT(empty, s(x1)) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), s(x1), s(inc(x1)))) COUNT(node(z0, z1), s(x1)) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), s(x1), s(inc(x1)))) COUNT(empty, s(x1)) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), s(x1), s(inc(x1)))) COUNT(node(z0, z1), s(x1)) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1)))) COUNT(empty, s(x1)) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), s(x1), s(inc(x1)))) COUNT(node(z0, z1), s(x1)) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1)))) COUNT(empty, s(x1)) -> c9(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), s(x1), s(inc(x1)))) COUNT(node(z0, z1), s(x1)) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1)))) COUNT(node(z0, z1), s(x1)) -> c9(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1)))) COUNT(empty, x0) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), empty)), x0, inc(x0))) COUNT(empty, x0) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), empty)), x0, inc(x0))) COUNT(empty, x0) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), empty)), x0, inc(x0))) COUNT(empty, x0) -> c9(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x0, inc(x0))) COUNT(node(z0, z1), x2) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), z1)), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), z1)), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c9(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x2, inc(x2))) COUNT(empty, x0) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(empty, right(empty))), x0, inc(x0))) COUNT(empty, x0) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(empty), right(empty))), x0, inc(x0))) COUNT(empty, x0) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(empty), right(empty))), x0, inc(x0))) COUNT(empty, x0) -> c9(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x0, inc(x0))) COUNT(node(node(z0, z1), x1), x2) -> c9(IF(isEmpty(node(node(z0, z1), x1)), isEmpty(left(node(node(z0, z1), x1))), right(node(node(z0, z1), x1)), node(left(left(node(node(z0, z1), x1))), node(z1, right(node(node(z0, z1), x1)))), x2, inc(x2))) COUNT(node(empty, x1), x2) -> c9(IF(isEmpty(node(empty, x1)), isEmpty(left(node(empty, x1))), right(node(empty, x1)), node(left(left(node(empty, x1))), node(empty, right(node(empty, x1)))), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(z0), right(node(z0, z1)))), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c9(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x2, inc(x2))) COUNT(empty, x0) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(empty, node(right(left(empty)), right(empty))), x0, inc(x0))) COUNT(empty, x0) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(empty), node(right(left(empty)), right(empty))), x0, inc(x0))) COUNT(empty, x0) -> c9(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x0, inc(x0))) COUNT(node(node(z0, z1), x1), x2) -> c9(IF(isEmpty(node(node(z0, z1), x1)), isEmpty(left(node(node(z0, z1), x1))), right(node(node(z0, z1), x1)), node(z0, node(right(left(node(node(z0, z1), x1))), right(node(node(z0, z1), x1)))), x2, inc(x2))) COUNT(node(empty, x1), x2) -> c9(IF(isEmpty(node(empty, x1)), isEmpty(left(node(empty, x1))), right(node(empty, x1)), node(empty, node(right(left(node(empty, x1))), right(node(empty, x1)))), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c9(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2))) S tuples: INC(s(z0)) -> c7(INC(z0)) IF(false, false, z0, z1, z2, z3) -> c16(COUNT(z1, z2)) IF(false, true, z0, z1, z2, z3) -> c17(COUNT(z0, z3)) COUNT(empty, x1) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c9(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c9(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, 0) -> c10(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(x0, s(z0)) -> c10(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0)))) COUNT(empty, x1) -> c10(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1))) COUNT(empty, x1) -> c10(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c10(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c10(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c10(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, 0) -> c11(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(x0, s(z0)) -> c11(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0)))) COUNT(empty, x1) -> c11(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1))) COUNT(empty, x1) -> c11(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c11(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c11(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c11(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, 0) -> c12(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(x0, s(z0)) -> c12(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0)))) COUNT(empty, x1) -> c12(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1))) COUNT(empty, x1) -> c12(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c12(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c12(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c12(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, 0) -> c13(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(x0, s(z0)) -> c13(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0)))) COUNT(empty, x1) -> c13(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1))) COUNT(empty, x1) -> c13(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c13(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c13(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c13(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, s(0)) -> c14(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(0), s(s(0))), INC(s(0))) COUNT(x0, s(s(z0))) -> c14(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(s(z0)), s(s(inc(z0)))), INC(s(s(z0)))) COUNT(empty, s(x1)) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), s(x1), s(inc(x1))), INC(s(x1))) COUNT(empty, s(x1)) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(empty, s(x1)) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(empty, s(x1)) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(empty, s(x1)) -> c14(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), empty)), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), empty)), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), empty)), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x0, inc(x0)), INC(x0)) COUNT(empty, 0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), 0, s(0))) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), z1)), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), z1)), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x2, inc(x2)), INC(x2)) COUNT(node(x0, x1), 0) -> c14(IF(isEmpty(node(x0, x1)), isEmpty(left(node(x0, x1))), right(node(x0, x1)), node(left(left(node(x0, x1))), node(right(left(node(x0, x1))), x1)), 0, s(0))) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(empty, right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(empty), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(empty), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, 0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), 0, s(0))) COUNT(node(node(z0, z1), x1), x2) -> c14(IF(isEmpty(node(node(z0, z1), x1)), isEmpty(left(node(node(z0, z1), x1))), right(node(node(z0, z1), x1)), node(left(left(node(node(z0, z1), x1))), node(z1, right(node(node(z0, z1), x1)))), x2, inc(x2)), INC(x2)) COUNT(node(empty, x1), x2) -> c14(IF(isEmpty(node(empty, x1)), isEmpty(left(node(empty, x1))), right(node(empty, x1)), node(left(left(node(empty, x1))), node(empty, right(node(empty, x1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(z0), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(x0, x1), 0) -> c14(IF(isEmpty(node(x0, x1)), isEmpty(left(node(x0, x1))), right(node(x0, x1)), node(left(left(node(x0, x1))), node(right(x0), right(node(x0, x1)))), 0, s(0))) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(empty, node(right(left(empty)), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(empty), node(right(left(empty)), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, 0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), 0, s(0))) COUNT(node(node(z0, z1), x1), x2) -> c14(IF(isEmpty(node(node(z0, z1), x1)), isEmpty(left(node(node(z0, z1), x1))), right(node(node(z0, z1), x1)), node(z0, node(right(left(node(node(z0, z1), x1))), right(node(node(z0, z1), x1)))), x2, inc(x2)), INC(x2)) COUNT(node(empty, x1), x2) -> c14(IF(isEmpty(node(empty, x1)), isEmpty(left(node(empty, x1))), right(node(empty, x1)), node(empty, node(right(left(node(empty, x1))), right(node(empty, x1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(x0, x1), 0) -> c14(IF(isEmpty(node(x0, x1)), isEmpty(left(node(x0, x1))), right(node(x0, x1)), node(left(x0), node(right(left(node(x0, x1))), right(node(x0, x1)))), 0, s(0))) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(empty), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, 0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), 0, s(0))) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(z0), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(false, isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(x0, x1), 0) -> c14(IF(isEmpty(node(x0, x1)), isEmpty(left(node(x0, x1))), x1, node(left(left(node(x0, x1))), node(right(left(node(x0, x1))), right(node(x0, x1)))), 0, s(0))) COUNT(empty, x0) -> c14(IF(isEmpty(empty), true, right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, 0) -> c14(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), 0, s(0))) COUNT(node(node(z0, z1), x1), x2) -> c14(IF(isEmpty(node(node(z0, z1), x1)), false, right(node(node(z0, z1), x1)), node(left(left(node(node(z0, z1), x1))), node(right(left(node(node(z0, z1), x1))), right(node(node(z0, z1), x1)))), x2, inc(x2)), INC(x2)) COUNT(node(empty, x1), x2) -> c14(IF(isEmpty(node(empty, x1)), true, right(node(empty, x1)), node(left(left(node(empty, x1))), node(right(left(node(empty, x1))), right(node(empty, x1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(false, isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(x0, x1), 0) -> c14(IF(isEmpty(node(x0, x1)), isEmpty(x0), right(node(x0, x1)), node(left(left(node(x0, x1))), node(right(left(node(x0, x1))), right(node(x0, x1)))), 0, s(0))) COUNT(node(x0, x1), 0) -> c14(IF(false, isEmpty(left(node(x0, x1))), right(node(x0, x1)), node(left(left(node(x0, x1))), node(right(left(node(x0, x1))), right(node(x0, x1)))), 0, s(0))) COUNT(empty, 0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), 0, s(0))) COUNT(node(z0, z1), 0) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), 0, s(0))) COUNT(empty, 0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), 0, s(0))) COUNT(node(z0, z1), 0) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), 0, s(0))) COUNT(empty, 0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), 0, s(0))) COUNT(node(z0, z1), 0) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), 0, s(0))) COUNT(empty, 0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), 0, s(0))) COUNT(node(z0, z1), 0) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), 0, s(0))) COUNT(empty, 0) -> c8(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), 0, s(0))) COUNT(node(z0, z1), 0) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), 0, s(0))) COUNT(node(z0, z1), 0) -> c8(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), 0, s(0))) COUNT(x0, s(0)) -> c8(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(0), s(s(0)))) COUNT(x0, s(s(z0))) -> c8(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(s(z0)), s(s(inc(z0))))) COUNT(empty, s(x1)) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), s(x1), s(inc(x1)))) COUNT(node(z0, z1), s(x1)) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), s(x1), s(inc(x1)))) COUNT(empty, s(x1)) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), s(x1), s(inc(x1)))) COUNT(node(z0, z1), s(x1)) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), s(x1), s(inc(x1)))) COUNT(empty, s(x1)) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), s(x1), s(inc(x1)))) COUNT(node(z0, z1), s(x1)) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1)))) COUNT(empty, s(x1)) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), s(x1), s(inc(x1)))) COUNT(node(z0, z1), s(x1)) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1)))) COUNT(empty, s(x1)) -> c8(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), s(x1), s(inc(x1)))) COUNT(node(z0, z1), s(x1)) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1)))) COUNT(node(z0, z1), s(x1)) -> c8(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1)))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), empty)), x0, inc(x0))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), empty)), x0, inc(x0))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), empty)), x0, inc(x0))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x0, inc(x0))) COUNT(node(z0, z1), x2) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), z1)), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), z1)), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c8(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x2, inc(x2))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(empty, right(empty))), x0, inc(x0))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(empty), right(empty))), x0, inc(x0))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(empty), right(empty))), x0, inc(x0))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x0, inc(x0))) COUNT(node(node(z0, z1), x1), x2) -> c8(IF(isEmpty(node(node(z0, z1), x1)), isEmpty(left(node(node(z0, z1), x1))), right(node(node(z0, z1), x1)), node(left(left(node(node(z0, z1), x1))), node(z1, right(node(node(z0, z1), x1)))), x2, inc(x2))) COUNT(node(empty, x1), x2) -> c8(IF(isEmpty(node(empty, x1)), isEmpty(left(node(empty, x1))), right(node(empty, x1)), node(left(left(node(empty, x1))), node(empty, right(node(empty, x1)))), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(z0), right(node(z0, z1)))), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c8(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x2, inc(x2))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(empty, node(right(left(empty)), right(empty))), x0, inc(x0))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(empty), node(right(left(empty)), right(empty))), x0, inc(x0))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x0, inc(x0))) COUNT(node(node(z0, z1), x1), x2) -> c8(IF(isEmpty(node(node(z0, z1), x1)), isEmpty(left(node(node(z0, z1), x1))), right(node(node(z0, z1), x1)), node(z0, node(right(left(node(node(z0, z1), x1))), right(node(node(z0, z1), x1)))), x2, inc(x2))) COUNT(node(empty, x1), x2) -> c8(IF(isEmpty(node(empty, x1)), isEmpty(left(node(empty, x1))), right(node(empty, x1)), node(empty, node(right(left(node(empty, x1))), right(node(empty, x1)))), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c8(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), isEmpty(empty), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x0, inc(x0))) COUNT(node(z0, z1), x2) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(z0), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c8(IF(false, isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), true, right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x0, inc(x0))) COUNT(node(node(z0, z1), x1), x2) -> c8(IF(isEmpty(node(node(z0, z1), x1)), false, right(node(node(z0, z1), x1)), node(left(left(node(node(z0, z1), x1))), node(right(left(node(node(z0, z1), x1))), right(node(node(z0, z1), x1)))), x2, inc(x2))) COUNT(node(empty, x1), x2) -> c8(IF(isEmpty(node(empty, x1)), true, right(node(empty, x1)), node(left(left(node(empty, x1))), node(right(left(node(empty, x1))), right(node(empty, x1)))), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c8(IF(false, isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2))) COUNT(empty, 0) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), 0, s(0))) COUNT(node(z0, z1), 0) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), 0, s(0))) COUNT(empty, 0) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), 0, s(0))) COUNT(node(z0, z1), 0) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), 0, s(0))) COUNT(empty, 0) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), 0, s(0))) COUNT(node(z0, z1), 0) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), 0, s(0))) COUNT(empty, 0) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), 0, s(0))) COUNT(node(z0, z1), 0) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), 0, s(0))) COUNT(empty, 0) -> c9(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), 0, s(0))) COUNT(node(z0, z1), 0) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), 0, s(0))) COUNT(node(z0, z1), 0) -> c9(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), 0, s(0))) COUNT(x0, s(0)) -> c9(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(0), s(s(0)))) COUNT(x0, s(s(z0))) -> c9(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(s(z0)), s(s(inc(z0))))) COUNT(empty, s(x1)) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), s(x1), s(inc(x1)))) COUNT(node(z0, z1), s(x1)) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), s(x1), s(inc(x1)))) COUNT(empty, s(x1)) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), s(x1), s(inc(x1)))) COUNT(node(z0, z1), s(x1)) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), s(x1), s(inc(x1)))) COUNT(empty, s(x1)) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), s(x1), s(inc(x1)))) COUNT(node(z0, z1), s(x1)) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1)))) COUNT(empty, s(x1)) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), s(x1), s(inc(x1)))) COUNT(node(z0, z1), s(x1)) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1)))) COUNT(empty, s(x1)) -> c9(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), s(x1), s(inc(x1)))) COUNT(node(z0, z1), s(x1)) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1)))) COUNT(node(z0, z1), s(x1)) -> c9(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1)))) COUNT(empty, x0) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), empty)), x0, inc(x0))) COUNT(empty, x0) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), empty)), x0, inc(x0))) COUNT(empty, x0) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), empty)), x0, inc(x0))) COUNT(empty, x0) -> c9(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x0, inc(x0))) COUNT(node(z0, z1), x2) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), z1)), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), z1)), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c9(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x2, inc(x2))) COUNT(empty, x0) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(empty, right(empty))), x0, inc(x0))) COUNT(empty, x0) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(empty), right(empty))), x0, inc(x0))) COUNT(empty, x0) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(empty), right(empty))), x0, inc(x0))) COUNT(empty, x0) -> c9(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x0, inc(x0))) COUNT(node(node(z0, z1), x1), x2) -> c9(IF(isEmpty(node(node(z0, z1), x1)), isEmpty(left(node(node(z0, z1), x1))), right(node(node(z0, z1), x1)), node(left(left(node(node(z0, z1), x1))), node(z1, right(node(node(z0, z1), x1)))), x2, inc(x2))) COUNT(node(empty, x1), x2) -> c9(IF(isEmpty(node(empty, x1)), isEmpty(left(node(empty, x1))), right(node(empty, x1)), node(left(left(node(empty, x1))), node(empty, right(node(empty, x1)))), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(z0), right(node(z0, z1)))), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c9(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x2, inc(x2))) COUNT(empty, x0) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(empty, node(right(left(empty)), right(empty))), x0, inc(x0))) COUNT(empty, x0) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(empty), node(right(left(empty)), right(empty))), x0, inc(x0))) COUNT(empty, x0) -> c9(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x0, inc(x0))) COUNT(node(node(z0, z1), x1), x2) -> c9(IF(isEmpty(node(node(z0, z1), x1)), isEmpty(left(node(node(z0, z1), x1))), right(node(node(z0, z1), x1)), node(z0, node(right(left(node(node(z0, z1), x1))), right(node(node(z0, z1), x1)))), x2, inc(x2))) COUNT(node(empty, x1), x2) -> c9(IF(isEmpty(node(empty, x1)), isEmpty(left(node(empty, x1))), right(node(empty, x1)), node(empty, node(right(left(node(empty, x1))), right(node(empty, x1)))), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c9(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2))) K tuples: COUNT(empty, x1) -> c14(INC(x1)) COUNT(x0, s(x1)) -> c14(INC(s(x1))) COUNT(empty, s(x1)) -> c14(INC(s(x1))) Defined Rule Symbols: isEmpty_1, left_1, right_1, inc_1 Defined Pair Symbols: INC_1, IF_6, COUNT_2 Compound Symbols: c7_1, c16_1, c17_1, c14_1, c9_1, c10_1, c11_1, c12_1, c13_1, c14_2, c8_1 ---------------------------------------- (223) CdtNarrowingProof (BOTH BOUNDS(ID, ID)) Use narrowing to replace COUNT(empty, x1) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) by COUNT(empty, 0) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), 0, s(0))) COUNT(empty, s(z0)) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), s(z0), s(inc(z0)))) COUNT(empty, x0) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), empty)), x0, inc(x0))) COUNT(empty, x0) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(empty), right(empty))), x0, inc(x0))) COUNT(empty, x0) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(empty), node(right(left(empty)), right(empty))), x0, inc(x0))) COUNT(empty, x0) -> c9(IF(isEmpty(empty), isEmpty(empty), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x0, inc(x0))) COUNT(empty, x0) -> c9(IF(true, isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x0, inc(x0))) ---------------------------------------- (224) Obligation: Complexity Dependency Tuples Problem Rules: isEmpty(empty) -> true isEmpty(node(z0, z1)) -> false left(empty) -> empty left(node(z0, z1)) -> z0 right(empty) -> empty right(node(z0, z1)) -> z1 inc(0) -> s(0) inc(s(z0)) -> s(inc(z0)) Tuples: INC(s(z0)) -> c7(INC(z0)) IF(false, false, z0, z1, z2, z3) -> c16(COUNT(z1, z2)) IF(false, true, z0, z1, z2, z3) -> c17(COUNT(z0, z3)) COUNT(empty, x1) -> c14(INC(x1)) COUNT(node(z0, z1), x1) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c9(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c9(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, 0) -> c10(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(x0, s(z0)) -> c10(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0)))) COUNT(empty, x1) -> c10(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1))) COUNT(empty, x1) -> c10(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c10(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c10(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c10(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, 0) -> c11(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(x0, s(z0)) -> c11(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0)))) COUNT(empty, x1) -> c11(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1))) COUNT(empty, x1) -> c11(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c11(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c11(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c11(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, 0) -> c12(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(x0, s(z0)) -> c12(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0)))) COUNT(empty, x1) -> c12(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1))) COUNT(empty, x1) -> c12(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c12(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c12(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c12(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, 0) -> c13(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(x0, s(z0)) -> c13(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0)))) COUNT(empty, x1) -> c13(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1))) COUNT(empty, x1) -> c13(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c13(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c13(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c13(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, s(0)) -> c14(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(0), s(s(0))), INC(s(0))) COUNT(x0, s(s(z0))) -> c14(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(s(z0)), s(s(inc(z0)))), INC(s(s(z0)))) COUNT(empty, s(x1)) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), s(x1), s(inc(x1))), INC(s(x1))) COUNT(empty, s(x1)) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(empty, s(x1)) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(empty, s(x1)) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(empty, s(x1)) -> c14(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(x0, s(x1)) -> c14(INC(s(x1))) COUNT(empty, s(x1)) -> c14(INC(s(x1))) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), empty)), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), empty)), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), empty)), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x0, inc(x0)), INC(x0)) COUNT(empty, 0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), 0, s(0))) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), z1)), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), z1)), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x2, inc(x2)), INC(x2)) COUNT(node(x0, x1), 0) -> c14(IF(isEmpty(node(x0, x1)), isEmpty(left(node(x0, x1))), right(node(x0, x1)), node(left(left(node(x0, x1))), node(right(left(node(x0, x1))), x1)), 0, s(0))) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(empty, right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(empty), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(empty), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, 0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), 0, s(0))) COUNT(node(node(z0, z1), x1), x2) -> c14(IF(isEmpty(node(node(z0, z1), x1)), isEmpty(left(node(node(z0, z1), x1))), right(node(node(z0, z1), x1)), node(left(left(node(node(z0, z1), x1))), node(z1, right(node(node(z0, z1), x1)))), x2, inc(x2)), INC(x2)) COUNT(node(empty, x1), x2) -> c14(IF(isEmpty(node(empty, x1)), isEmpty(left(node(empty, x1))), right(node(empty, x1)), node(left(left(node(empty, x1))), node(empty, right(node(empty, x1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(z0), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(x0, x1), 0) -> c14(IF(isEmpty(node(x0, x1)), isEmpty(left(node(x0, x1))), right(node(x0, x1)), node(left(left(node(x0, x1))), node(right(x0), right(node(x0, x1)))), 0, s(0))) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(empty, node(right(left(empty)), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(empty), node(right(left(empty)), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, 0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), 0, s(0))) COUNT(node(node(z0, z1), x1), x2) -> c14(IF(isEmpty(node(node(z0, z1), x1)), isEmpty(left(node(node(z0, z1), x1))), right(node(node(z0, z1), x1)), node(z0, node(right(left(node(node(z0, z1), x1))), right(node(node(z0, z1), x1)))), x2, inc(x2)), INC(x2)) COUNT(node(empty, x1), x2) -> c14(IF(isEmpty(node(empty, x1)), isEmpty(left(node(empty, x1))), right(node(empty, x1)), node(empty, node(right(left(node(empty, x1))), right(node(empty, x1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(x0, x1), 0) -> c14(IF(isEmpty(node(x0, x1)), isEmpty(left(node(x0, x1))), right(node(x0, x1)), node(left(x0), node(right(left(node(x0, x1))), right(node(x0, x1)))), 0, s(0))) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(empty), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, 0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), 0, s(0))) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(z0), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(false, isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(x0, x1), 0) -> c14(IF(isEmpty(node(x0, x1)), isEmpty(left(node(x0, x1))), x1, node(left(left(node(x0, x1))), node(right(left(node(x0, x1))), right(node(x0, x1)))), 0, s(0))) COUNT(empty, x0) -> c14(IF(isEmpty(empty), true, right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, 0) -> c14(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), 0, s(0))) COUNT(node(node(z0, z1), x1), x2) -> c14(IF(isEmpty(node(node(z0, z1), x1)), false, right(node(node(z0, z1), x1)), node(left(left(node(node(z0, z1), x1))), node(right(left(node(node(z0, z1), x1))), right(node(node(z0, z1), x1)))), x2, inc(x2)), INC(x2)) COUNT(node(empty, x1), x2) -> c14(IF(isEmpty(node(empty, x1)), true, right(node(empty, x1)), node(left(left(node(empty, x1))), node(right(left(node(empty, x1))), right(node(empty, x1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(false, isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(x0, x1), 0) -> c14(IF(isEmpty(node(x0, x1)), isEmpty(x0), right(node(x0, x1)), node(left(left(node(x0, x1))), node(right(left(node(x0, x1))), right(node(x0, x1)))), 0, s(0))) COUNT(node(x0, x1), 0) -> c14(IF(false, isEmpty(left(node(x0, x1))), right(node(x0, x1)), node(left(left(node(x0, x1))), node(right(left(node(x0, x1))), right(node(x0, x1)))), 0, s(0))) COUNT(empty, 0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), 0, s(0))) COUNT(node(z0, z1), 0) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), 0, s(0))) COUNT(empty, 0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), 0, s(0))) COUNT(node(z0, z1), 0) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), 0, s(0))) COUNT(empty, 0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), 0, s(0))) COUNT(node(z0, z1), 0) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), 0, s(0))) COUNT(empty, 0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), 0, s(0))) COUNT(node(z0, z1), 0) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), 0, s(0))) COUNT(empty, 0) -> c8(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), 0, s(0))) COUNT(node(z0, z1), 0) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), 0, s(0))) COUNT(node(z0, z1), 0) -> c8(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), 0, s(0))) COUNT(x0, s(0)) -> c8(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(0), s(s(0)))) COUNT(x0, s(s(z0))) -> c8(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(s(z0)), s(s(inc(z0))))) COUNT(empty, s(x1)) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), s(x1), s(inc(x1)))) COUNT(node(z0, z1), s(x1)) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), s(x1), s(inc(x1)))) COUNT(empty, s(x1)) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), s(x1), s(inc(x1)))) COUNT(node(z0, z1), s(x1)) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), s(x1), s(inc(x1)))) COUNT(empty, s(x1)) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), s(x1), s(inc(x1)))) COUNT(node(z0, z1), s(x1)) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1)))) COUNT(empty, s(x1)) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), s(x1), s(inc(x1)))) COUNT(node(z0, z1), s(x1)) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1)))) COUNT(empty, s(x1)) -> c8(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), s(x1), s(inc(x1)))) COUNT(node(z0, z1), s(x1)) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1)))) COUNT(node(z0, z1), s(x1)) -> c8(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1)))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), empty)), x0, inc(x0))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), empty)), x0, inc(x0))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), empty)), x0, inc(x0))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x0, inc(x0))) COUNT(node(z0, z1), x2) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), z1)), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), z1)), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c8(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x2, inc(x2))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(empty, right(empty))), x0, inc(x0))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(empty), right(empty))), x0, inc(x0))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(empty), right(empty))), x0, inc(x0))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x0, inc(x0))) COUNT(node(node(z0, z1), x1), x2) -> c8(IF(isEmpty(node(node(z0, z1), x1)), isEmpty(left(node(node(z0, z1), x1))), right(node(node(z0, z1), x1)), node(left(left(node(node(z0, z1), x1))), node(z1, right(node(node(z0, z1), x1)))), x2, inc(x2))) COUNT(node(empty, x1), x2) -> c8(IF(isEmpty(node(empty, x1)), isEmpty(left(node(empty, x1))), right(node(empty, x1)), node(left(left(node(empty, x1))), node(empty, right(node(empty, x1)))), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(z0), right(node(z0, z1)))), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c8(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x2, inc(x2))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(empty, node(right(left(empty)), right(empty))), x0, inc(x0))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(empty), node(right(left(empty)), right(empty))), x0, inc(x0))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x0, inc(x0))) COUNT(node(node(z0, z1), x1), x2) -> c8(IF(isEmpty(node(node(z0, z1), x1)), isEmpty(left(node(node(z0, z1), x1))), right(node(node(z0, z1), x1)), node(z0, node(right(left(node(node(z0, z1), x1))), right(node(node(z0, z1), x1)))), x2, inc(x2))) COUNT(node(empty, x1), x2) -> c8(IF(isEmpty(node(empty, x1)), isEmpty(left(node(empty, x1))), right(node(empty, x1)), node(empty, node(right(left(node(empty, x1))), right(node(empty, x1)))), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c8(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), isEmpty(empty), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x0, inc(x0))) COUNT(node(z0, z1), x2) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(z0), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c8(IF(false, isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), true, right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x0, inc(x0))) COUNT(node(node(z0, z1), x1), x2) -> c8(IF(isEmpty(node(node(z0, z1), x1)), false, right(node(node(z0, z1), x1)), node(left(left(node(node(z0, z1), x1))), node(right(left(node(node(z0, z1), x1))), right(node(node(z0, z1), x1)))), x2, inc(x2))) COUNT(node(empty, x1), x2) -> c8(IF(isEmpty(node(empty, x1)), true, right(node(empty, x1)), node(left(left(node(empty, x1))), node(right(left(node(empty, x1))), right(node(empty, x1)))), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c8(IF(false, isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2))) COUNT(empty, 0) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), 0, s(0))) COUNT(node(z0, z1), 0) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), 0, s(0))) COUNT(empty, 0) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), 0, s(0))) COUNT(node(z0, z1), 0) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), 0, s(0))) COUNT(empty, 0) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), 0, s(0))) COUNT(node(z0, z1), 0) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), 0, s(0))) COUNT(empty, 0) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), 0, s(0))) COUNT(node(z0, z1), 0) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), 0, s(0))) COUNT(empty, 0) -> c9(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), 0, s(0))) COUNT(node(z0, z1), 0) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), 0, s(0))) COUNT(node(z0, z1), 0) -> c9(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), 0, s(0))) COUNT(x0, s(0)) -> c9(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(0), s(s(0)))) COUNT(x0, s(s(z0))) -> c9(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(s(z0)), s(s(inc(z0))))) COUNT(empty, s(x1)) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), s(x1), s(inc(x1)))) COUNT(node(z0, z1), s(x1)) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), s(x1), s(inc(x1)))) COUNT(empty, s(x1)) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), s(x1), s(inc(x1)))) COUNT(node(z0, z1), s(x1)) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), s(x1), s(inc(x1)))) COUNT(empty, s(x1)) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), s(x1), s(inc(x1)))) COUNT(node(z0, z1), s(x1)) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1)))) COUNT(empty, s(x1)) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), s(x1), s(inc(x1)))) COUNT(node(z0, z1), s(x1)) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1)))) COUNT(empty, s(x1)) -> c9(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), s(x1), s(inc(x1)))) COUNT(node(z0, z1), s(x1)) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1)))) COUNT(node(z0, z1), s(x1)) -> c9(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1)))) COUNT(empty, x0) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), empty)), x0, inc(x0))) COUNT(empty, x0) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), empty)), x0, inc(x0))) COUNT(empty, x0) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), empty)), x0, inc(x0))) COUNT(empty, x0) -> c9(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x0, inc(x0))) COUNT(node(z0, z1), x2) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), z1)), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), z1)), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c9(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x2, inc(x2))) COUNT(empty, x0) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(empty, right(empty))), x0, inc(x0))) COUNT(empty, x0) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(empty), right(empty))), x0, inc(x0))) COUNT(empty, x0) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(empty), right(empty))), x0, inc(x0))) COUNT(empty, x0) -> c9(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x0, inc(x0))) COUNT(node(node(z0, z1), x1), x2) -> c9(IF(isEmpty(node(node(z0, z1), x1)), isEmpty(left(node(node(z0, z1), x1))), right(node(node(z0, z1), x1)), node(left(left(node(node(z0, z1), x1))), node(z1, right(node(node(z0, z1), x1)))), x2, inc(x2))) COUNT(node(empty, x1), x2) -> c9(IF(isEmpty(node(empty, x1)), isEmpty(left(node(empty, x1))), right(node(empty, x1)), node(left(left(node(empty, x1))), node(empty, right(node(empty, x1)))), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(z0), right(node(z0, z1)))), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c9(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x2, inc(x2))) COUNT(empty, x0) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(empty, node(right(left(empty)), right(empty))), x0, inc(x0))) COUNT(empty, x0) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(empty), node(right(left(empty)), right(empty))), x0, inc(x0))) COUNT(empty, x0) -> c9(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x0, inc(x0))) COUNT(node(node(z0, z1), x1), x2) -> c9(IF(isEmpty(node(node(z0, z1), x1)), isEmpty(left(node(node(z0, z1), x1))), right(node(node(z0, z1), x1)), node(z0, node(right(left(node(node(z0, z1), x1))), right(node(node(z0, z1), x1)))), x2, inc(x2))) COUNT(node(empty, x1), x2) -> c9(IF(isEmpty(node(empty, x1)), isEmpty(left(node(empty, x1))), right(node(empty, x1)), node(empty, node(right(left(node(empty, x1))), right(node(empty, x1)))), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c9(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2))) COUNT(empty, x0) -> c9(IF(isEmpty(empty), isEmpty(empty), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x0, inc(x0))) COUNT(empty, x0) -> c9(IF(true, isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x0, inc(x0))) S tuples: INC(s(z0)) -> c7(INC(z0)) IF(false, false, z0, z1, z2, z3) -> c16(COUNT(z1, z2)) IF(false, true, z0, z1, z2, z3) -> c17(COUNT(z0, z3)) COUNT(node(z0, z1), x1) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c9(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c9(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, 0) -> c10(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(x0, s(z0)) -> c10(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0)))) COUNT(empty, x1) -> c10(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1))) COUNT(empty, x1) -> c10(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c10(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c10(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c10(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, 0) -> c11(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(x0, s(z0)) -> c11(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0)))) COUNT(empty, x1) -> c11(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1))) COUNT(empty, x1) -> c11(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c11(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c11(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c11(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, 0) -> c12(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(x0, s(z0)) -> c12(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0)))) COUNT(empty, x1) -> c12(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1))) COUNT(empty, x1) -> c12(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c12(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c12(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c12(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, 0) -> c13(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(x0, s(z0)) -> c13(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0)))) COUNT(empty, x1) -> c13(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1))) COUNT(empty, x1) -> c13(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c13(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c13(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c13(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, s(0)) -> c14(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(0), s(s(0))), INC(s(0))) COUNT(x0, s(s(z0))) -> c14(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(s(z0)), s(s(inc(z0)))), INC(s(s(z0)))) COUNT(empty, s(x1)) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), s(x1), s(inc(x1))), INC(s(x1))) COUNT(empty, s(x1)) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(empty, s(x1)) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(empty, s(x1)) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(empty, s(x1)) -> c14(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), empty)), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), empty)), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), empty)), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x0, inc(x0)), INC(x0)) COUNT(empty, 0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), 0, s(0))) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), z1)), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), z1)), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x2, inc(x2)), INC(x2)) COUNT(node(x0, x1), 0) -> c14(IF(isEmpty(node(x0, x1)), isEmpty(left(node(x0, x1))), right(node(x0, x1)), node(left(left(node(x0, x1))), node(right(left(node(x0, x1))), x1)), 0, s(0))) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(empty, right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(empty), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(empty), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, 0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), 0, s(0))) COUNT(node(node(z0, z1), x1), x2) -> c14(IF(isEmpty(node(node(z0, z1), x1)), isEmpty(left(node(node(z0, z1), x1))), right(node(node(z0, z1), x1)), node(left(left(node(node(z0, z1), x1))), node(z1, right(node(node(z0, z1), x1)))), x2, inc(x2)), INC(x2)) COUNT(node(empty, x1), x2) -> c14(IF(isEmpty(node(empty, x1)), isEmpty(left(node(empty, x1))), right(node(empty, x1)), node(left(left(node(empty, x1))), node(empty, right(node(empty, x1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(z0), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(x0, x1), 0) -> c14(IF(isEmpty(node(x0, x1)), isEmpty(left(node(x0, x1))), right(node(x0, x1)), node(left(left(node(x0, x1))), node(right(x0), right(node(x0, x1)))), 0, s(0))) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(empty, node(right(left(empty)), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(empty), node(right(left(empty)), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, 0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), 0, s(0))) COUNT(node(node(z0, z1), x1), x2) -> c14(IF(isEmpty(node(node(z0, z1), x1)), isEmpty(left(node(node(z0, z1), x1))), right(node(node(z0, z1), x1)), node(z0, node(right(left(node(node(z0, z1), x1))), right(node(node(z0, z1), x1)))), x2, inc(x2)), INC(x2)) COUNT(node(empty, x1), x2) -> c14(IF(isEmpty(node(empty, x1)), isEmpty(left(node(empty, x1))), right(node(empty, x1)), node(empty, node(right(left(node(empty, x1))), right(node(empty, x1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(x0, x1), 0) -> c14(IF(isEmpty(node(x0, x1)), isEmpty(left(node(x0, x1))), right(node(x0, x1)), node(left(x0), node(right(left(node(x0, x1))), right(node(x0, x1)))), 0, s(0))) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(empty), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, 0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), 0, s(0))) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(z0), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(false, isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(x0, x1), 0) -> c14(IF(isEmpty(node(x0, x1)), isEmpty(left(node(x0, x1))), x1, node(left(left(node(x0, x1))), node(right(left(node(x0, x1))), right(node(x0, x1)))), 0, s(0))) COUNT(empty, x0) -> c14(IF(isEmpty(empty), true, right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, 0) -> c14(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), 0, s(0))) COUNT(node(node(z0, z1), x1), x2) -> c14(IF(isEmpty(node(node(z0, z1), x1)), false, right(node(node(z0, z1), x1)), node(left(left(node(node(z0, z1), x1))), node(right(left(node(node(z0, z1), x1))), right(node(node(z0, z1), x1)))), x2, inc(x2)), INC(x2)) COUNT(node(empty, x1), x2) -> c14(IF(isEmpty(node(empty, x1)), true, right(node(empty, x1)), node(left(left(node(empty, x1))), node(right(left(node(empty, x1))), right(node(empty, x1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(false, isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(x0, x1), 0) -> c14(IF(isEmpty(node(x0, x1)), isEmpty(x0), right(node(x0, x1)), node(left(left(node(x0, x1))), node(right(left(node(x0, x1))), right(node(x0, x1)))), 0, s(0))) COUNT(node(x0, x1), 0) -> c14(IF(false, isEmpty(left(node(x0, x1))), right(node(x0, x1)), node(left(left(node(x0, x1))), node(right(left(node(x0, x1))), right(node(x0, x1)))), 0, s(0))) COUNT(empty, 0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), 0, s(0))) COUNT(node(z0, z1), 0) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), 0, s(0))) COUNT(empty, 0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), 0, s(0))) COUNT(node(z0, z1), 0) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), 0, s(0))) COUNT(empty, 0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), 0, s(0))) COUNT(node(z0, z1), 0) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), 0, s(0))) COUNT(empty, 0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), 0, s(0))) COUNT(node(z0, z1), 0) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), 0, s(0))) COUNT(empty, 0) -> c8(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), 0, s(0))) COUNT(node(z0, z1), 0) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), 0, s(0))) COUNT(node(z0, z1), 0) -> c8(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), 0, s(0))) COUNT(x0, s(0)) -> c8(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(0), s(s(0)))) COUNT(x0, s(s(z0))) -> c8(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(s(z0)), s(s(inc(z0))))) COUNT(empty, s(x1)) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), s(x1), s(inc(x1)))) COUNT(node(z0, z1), s(x1)) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), s(x1), s(inc(x1)))) COUNT(empty, s(x1)) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), s(x1), s(inc(x1)))) COUNT(node(z0, z1), s(x1)) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), s(x1), s(inc(x1)))) COUNT(empty, s(x1)) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), s(x1), s(inc(x1)))) COUNT(node(z0, z1), s(x1)) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1)))) COUNT(empty, s(x1)) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), s(x1), s(inc(x1)))) COUNT(node(z0, z1), s(x1)) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1)))) COUNT(empty, s(x1)) -> c8(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), s(x1), s(inc(x1)))) COUNT(node(z0, z1), s(x1)) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1)))) COUNT(node(z0, z1), s(x1)) -> c8(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1)))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), empty)), x0, inc(x0))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), empty)), x0, inc(x0))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), empty)), x0, inc(x0))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x0, inc(x0))) COUNT(node(z0, z1), x2) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), z1)), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), z1)), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c8(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x2, inc(x2))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(empty, right(empty))), x0, inc(x0))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(empty), right(empty))), x0, inc(x0))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(empty), right(empty))), x0, inc(x0))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x0, inc(x0))) COUNT(node(node(z0, z1), x1), x2) -> c8(IF(isEmpty(node(node(z0, z1), x1)), isEmpty(left(node(node(z0, z1), x1))), right(node(node(z0, z1), x1)), node(left(left(node(node(z0, z1), x1))), node(z1, right(node(node(z0, z1), x1)))), x2, inc(x2))) COUNT(node(empty, x1), x2) -> c8(IF(isEmpty(node(empty, x1)), isEmpty(left(node(empty, x1))), right(node(empty, x1)), node(left(left(node(empty, x1))), node(empty, right(node(empty, x1)))), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(z0), right(node(z0, z1)))), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c8(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x2, inc(x2))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(empty, node(right(left(empty)), right(empty))), x0, inc(x0))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(empty), node(right(left(empty)), right(empty))), x0, inc(x0))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x0, inc(x0))) COUNT(node(node(z0, z1), x1), x2) -> c8(IF(isEmpty(node(node(z0, z1), x1)), isEmpty(left(node(node(z0, z1), x1))), right(node(node(z0, z1), x1)), node(z0, node(right(left(node(node(z0, z1), x1))), right(node(node(z0, z1), x1)))), x2, inc(x2))) COUNT(node(empty, x1), x2) -> c8(IF(isEmpty(node(empty, x1)), isEmpty(left(node(empty, x1))), right(node(empty, x1)), node(empty, node(right(left(node(empty, x1))), right(node(empty, x1)))), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c8(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), isEmpty(empty), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x0, inc(x0))) COUNT(node(z0, z1), x2) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(z0), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c8(IF(false, isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), true, right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x0, inc(x0))) COUNT(node(node(z0, z1), x1), x2) -> c8(IF(isEmpty(node(node(z0, z1), x1)), false, right(node(node(z0, z1), x1)), node(left(left(node(node(z0, z1), x1))), node(right(left(node(node(z0, z1), x1))), right(node(node(z0, z1), x1)))), x2, inc(x2))) COUNT(node(empty, x1), x2) -> c8(IF(isEmpty(node(empty, x1)), true, right(node(empty, x1)), node(left(left(node(empty, x1))), node(right(left(node(empty, x1))), right(node(empty, x1)))), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c8(IF(false, isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2))) COUNT(empty, 0) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), 0, s(0))) COUNT(node(z0, z1), 0) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), 0, s(0))) COUNT(empty, 0) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), 0, s(0))) COUNT(node(z0, z1), 0) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), 0, s(0))) COUNT(empty, 0) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), 0, s(0))) COUNT(node(z0, z1), 0) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), 0, s(0))) COUNT(empty, 0) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), 0, s(0))) COUNT(node(z0, z1), 0) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), 0, s(0))) COUNT(empty, 0) -> c9(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), 0, s(0))) COUNT(node(z0, z1), 0) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), 0, s(0))) COUNT(node(z0, z1), 0) -> c9(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), 0, s(0))) COUNT(x0, s(0)) -> c9(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(0), s(s(0)))) COUNT(x0, s(s(z0))) -> c9(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(s(z0)), s(s(inc(z0))))) COUNT(empty, s(x1)) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), s(x1), s(inc(x1)))) COUNT(node(z0, z1), s(x1)) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), s(x1), s(inc(x1)))) COUNT(empty, s(x1)) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), s(x1), s(inc(x1)))) COUNT(node(z0, z1), s(x1)) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), s(x1), s(inc(x1)))) COUNT(empty, s(x1)) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), s(x1), s(inc(x1)))) COUNT(node(z0, z1), s(x1)) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1)))) COUNT(empty, s(x1)) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), s(x1), s(inc(x1)))) COUNT(node(z0, z1), s(x1)) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1)))) COUNT(empty, s(x1)) -> c9(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), s(x1), s(inc(x1)))) COUNT(node(z0, z1), s(x1)) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1)))) COUNT(node(z0, z1), s(x1)) -> c9(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1)))) COUNT(empty, x0) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), empty)), x0, inc(x0))) COUNT(empty, x0) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), empty)), x0, inc(x0))) COUNT(empty, x0) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), empty)), x0, inc(x0))) COUNT(empty, x0) -> c9(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x0, inc(x0))) COUNT(node(z0, z1), x2) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), z1)), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), z1)), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c9(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x2, inc(x2))) COUNT(empty, x0) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(empty, right(empty))), x0, inc(x0))) COUNT(empty, x0) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(empty), right(empty))), x0, inc(x0))) COUNT(empty, x0) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(empty), right(empty))), x0, inc(x0))) COUNT(empty, x0) -> c9(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x0, inc(x0))) COUNT(node(node(z0, z1), x1), x2) -> c9(IF(isEmpty(node(node(z0, z1), x1)), isEmpty(left(node(node(z0, z1), x1))), right(node(node(z0, z1), x1)), node(left(left(node(node(z0, z1), x1))), node(z1, right(node(node(z0, z1), x1)))), x2, inc(x2))) COUNT(node(empty, x1), x2) -> c9(IF(isEmpty(node(empty, x1)), isEmpty(left(node(empty, x1))), right(node(empty, x1)), node(left(left(node(empty, x1))), node(empty, right(node(empty, x1)))), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(z0), right(node(z0, z1)))), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c9(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x2, inc(x2))) COUNT(empty, x0) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(empty, node(right(left(empty)), right(empty))), x0, inc(x0))) COUNT(empty, x0) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(empty), node(right(left(empty)), right(empty))), x0, inc(x0))) COUNT(empty, x0) -> c9(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x0, inc(x0))) COUNT(node(node(z0, z1), x1), x2) -> c9(IF(isEmpty(node(node(z0, z1), x1)), isEmpty(left(node(node(z0, z1), x1))), right(node(node(z0, z1), x1)), node(z0, node(right(left(node(node(z0, z1), x1))), right(node(node(z0, z1), x1)))), x2, inc(x2))) COUNT(node(empty, x1), x2) -> c9(IF(isEmpty(node(empty, x1)), isEmpty(left(node(empty, x1))), right(node(empty, x1)), node(empty, node(right(left(node(empty, x1))), right(node(empty, x1)))), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c9(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2))) COUNT(empty, x0) -> c9(IF(isEmpty(empty), isEmpty(empty), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x0, inc(x0))) COUNT(empty, x0) -> c9(IF(true, isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x0, inc(x0))) K tuples: COUNT(empty, x1) -> c14(INC(x1)) COUNT(x0, s(x1)) -> c14(INC(s(x1))) COUNT(empty, s(x1)) -> c14(INC(s(x1))) Defined Rule Symbols: isEmpty_1, left_1, right_1, inc_1 Defined Pair Symbols: INC_1, IF_6, COUNT_2 Compound Symbols: c7_1, c16_1, c17_1, c14_1, c9_1, c10_1, c11_1, c12_1, c13_1, c14_2, c8_1 ---------------------------------------- (225) CdtLeafRemovalProof (BOTH BOUNDS(ID, ID)) Removed 1 trailing nodes: COUNT(empty, x0) -> c9(IF(true, isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x0, inc(x0))) ---------------------------------------- (226) Obligation: Complexity Dependency Tuples Problem Rules: isEmpty(empty) -> true isEmpty(node(z0, z1)) -> false left(empty) -> empty left(node(z0, z1)) -> z0 right(empty) -> empty right(node(z0, z1)) -> z1 inc(0) -> s(0) inc(s(z0)) -> s(inc(z0)) Tuples: INC(s(z0)) -> c7(INC(z0)) IF(false, false, z0, z1, z2, z3) -> c16(COUNT(z1, z2)) IF(false, true, z0, z1, z2, z3) -> c17(COUNT(z0, z3)) COUNT(empty, x1) -> c14(INC(x1)) COUNT(node(z0, z1), x1) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c9(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c9(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, 0) -> c10(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(x0, s(z0)) -> c10(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0)))) COUNT(empty, x1) -> c10(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1))) COUNT(empty, x1) -> c10(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c10(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c10(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c10(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, 0) -> c11(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(x0, s(z0)) -> c11(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0)))) COUNT(empty, x1) -> c11(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1))) COUNT(empty, x1) -> c11(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c11(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c11(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c11(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, 0) -> c12(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(x0, s(z0)) -> c12(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0)))) COUNT(empty, x1) -> c12(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1))) COUNT(empty, x1) -> c12(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c12(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c12(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c12(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, 0) -> c13(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(x0, s(z0)) -> c13(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0)))) COUNT(empty, x1) -> c13(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1))) COUNT(empty, x1) -> c13(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c13(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c13(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c13(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, s(0)) -> c14(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(0), s(s(0))), INC(s(0))) COUNT(x0, s(s(z0))) -> c14(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(s(z0)), s(s(inc(z0)))), INC(s(s(z0)))) COUNT(empty, s(x1)) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), s(x1), s(inc(x1))), INC(s(x1))) COUNT(empty, s(x1)) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(empty, s(x1)) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(empty, s(x1)) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(empty, s(x1)) -> c14(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(x0, s(x1)) -> c14(INC(s(x1))) COUNT(empty, s(x1)) -> c14(INC(s(x1))) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), empty)), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), empty)), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), empty)), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x0, inc(x0)), INC(x0)) COUNT(empty, 0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), 0, s(0))) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), z1)), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), z1)), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x2, inc(x2)), INC(x2)) COUNT(node(x0, x1), 0) -> c14(IF(isEmpty(node(x0, x1)), isEmpty(left(node(x0, x1))), right(node(x0, x1)), node(left(left(node(x0, x1))), node(right(left(node(x0, x1))), x1)), 0, s(0))) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(empty, right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(empty), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(empty), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, 0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), 0, s(0))) COUNT(node(node(z0, z1), x1), x2) -> c14(IF(isEmpty(node(node(z0, z1), x1)), isEmpty(left(node(node(z0, z1), x1))), right(node(node(z0, z1), x1)), node(left(left(node(node(z0, z1), x1))), node(z1, right(node(node(z0, z1), x1)))), x2, inc(x2)), INC(x2)) COUNT(node(empty, x1), x2) -> c14(IF(isEmpty(node(empty, x1)), isEmpty(left(node(empty, x1))), right(node(empty, x1)), node(left(left(node(empty, x1))), node(empty, right(node(empty, x1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(z0), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(x0, x1), 0) -> c14(IF(isEmpty(node(x0, x1)), isEmpty(left(node(x0, x1))), right(node(x0, x1)), node(left(left(node(x0, x1))), node(right(x0), right(node(x0, x1)))), 0, s(0))) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(empty, node(right(left(empty)), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(empty), node(right(left(empty)), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, 0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), 0, s(0))) COUNT(node(node(z0, z1), x1), x2) -> c14(IF(isEmpty(node(node(z0, z1), x1)), isEmpty(left(node(node(z0, z1), x1))), right(node(node(z0, z1), x1)), node(z0, node(right(left(node(node(z0, z1), x1))), right(node(node(z0, z1), x1)))), x2, inc(x2)), INC(x2)) COUNT(node(empty, x1), x2) -> c14(IF(isEmpty(node(empty, x1)), isEmpty(left(node(empty, x1))), right(node(empty, x1)), node(empty, node(right(left(node(empty, x1))), right(node(empty, x1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(x0, x1), 0) -> c14(IF(isEmpty(node(x0, x1)), isEmpty(left(node(x0, x1))), right(node(x0, x1)), node(left(x0), node(right(left(node(x0, x1))), right(node(x0, x1)))), 0, s(0))) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(empty), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, 0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), 0, s(0))) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(z0), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(false, isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(x0, x1), 0) -> c14(IF(isEmpty(node(x0, x1)), isEmpty(left(node(x0, x1))), x1, node(left(left(node(x0, x1))), node(right(left(node(x0, x1))), right(node(x0, x1)))), 0, s(0))) COUNT(empty, x0) -> c14(IF(isEmpty(empty), true, right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, 0) -> c14(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), 0, s(0))) COUNT(node(node(z0, z1), x1), x2) -> c14(IF(isEmpty(node(node(z0, z1), x1)), false, right(node(node(z0, z1), x1)), node(left(left(node(node(z0, z1), x1))), node(right(left(node(node(z0, z1), x1))), right(node(node(z0, z1), x1)))), x2, inc(x2)), INC(x2)) COUNT(node(empty, x1), x2) -> c14(IF(isEmpty(node(empty, x1)), true, right(node(empty, x1)), node(left(left(node(empty, x1))), node(right(left(node(empty, x1))), right(node(empty, x1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(false, isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(x0, x1), 0) -> c14(IF(isEmpty(node(x0, x1)), isEmpty(x0), right(node(x0, x1)), node(left(left(node(x0, x1))), node(right(left(node(x0, x1))), right(node(x0, x1)))), 0, s(0))) COUNT(node(x0, x1), 0) -> c14(IF(false, isEmpty(left(node(x0, x1))), right(node(x0, x1)), node(left(left(node(x0, x1))), node(right(left(node(x0, x1))), right(node(x0, x1)))), 0, s(0))) COUNT(empty, 0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), 0, s(0))) COUNT(node(z0, z1), 0) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), 0, s(0))) COUNT(empty, 0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), 0, s(0))) COUNT(node(z0, z1), 0) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), 0, s(0))) COUNT(empty, 0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), 0, s(0))) COUNT(node(z0, z1), 0) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), 0, s(0))) COUNT(empty, 0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), 0, s(0))) COUNT(node(z0, z1), 0) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), 0, s(0))) COUNT(empty, 0) -> c8(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), 0, s(0))) COUNT(node(z0, z1), 0) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), 0, s(0))) COUNT(node(z0, z1), 0) -> c8(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), 0, s(0))) COUNT(x0, s(0)) -> c8(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(0), s(s(0)))) COUNT(x0, s(s(z0))) -> c8(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(s(z0)), s(s(inc(z0))))) COUNT(empty, s(x1)) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), s(x1), s(inc(x1)))) COUNT(node(z0, z1), s(x1)) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), s(x1), s(inc(x1)))) COUNT(empty, s(x1)) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), s(x1), s(inc(x1)))) COUNT(node(z0, z1), s(x1)) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), s(x1), s(inc(x1)))) COUNT(empty, s(x1)) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), s(x1), s(inc(x1)))) COUNT(node(z0, z1), s(x1)) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1)))) COUNT(empty, s(x1)) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), s(x1), s(inc(x1)))) COUNT(node(z0, z1), s(x1)) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1)))) COUNT(empty, s(x1)) -> c8(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), s(x1), s(inc(x1)))) COUNT(node(z0, z1), s(x1)) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1)))) COUNT(node(z0, z1), s(x1)) -> c8(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1)))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), empty)), x0, inc(x0))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), empty)), x0, inc(x0))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), empty)), x0, inc(x0))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x0, inc(x0))) COUNT(node(z0, z1), x2) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), z1)), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), z1)), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c8(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x2, inc(x2))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(empty, right(empty))), x0, inc(x0))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(empty), right(empty))), x0, inc(x0))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(empty), right(empty))), x0, inc(x0))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x0, inc(x0))) COUNT(node(node(z0, z1), x1), x2) -> c8(IF(isEmpty(node(node(z0, z1), x1)), isEmpty(left(node(node(z0, z1), x1))), right(node(node(z0, z1), x1)), node(left(left(node(node(z0, z1), x1))), node(z1, right(node(node(z0, z1), x1)))), x2, inc(x2))) COUNT(node(empty, x1), x2) -> c8(IF(isEmpty(node(empty, x1)), isEmpty(left(node(empty, x1))), right(node(empty, x1)), node(left(left(node(empty, x1))), node(empty, right(node(empty, x1)))), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(z0), right(node(z0, z1)))), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c8(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x2, inc(x2))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(empty, node(right(left(empty)), right(empty))), x0, inc(x0))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(empty), node(right(left(empty)), right(empty))), x0, inc(x0))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x0, inc(x0))) COUNT(node(node(z0, z1), x1), x2) -> c8(IF(isEmpty(node(node(z0, z1), x1)), isEmpty(left(node(node(z0, z1), x1))), right(node(node(z0, z1), x1)), node(z0, node(right(left(node(node(z0, z1), x1))), right(node(node(z0, z1), x1)))), x2, inc(x2))) COUNT(node(empty, x1), x2) -> c8(IF(isEmpty(node(empty, x1)), isEmpty(left(node(empty, x1))), right(node(empty, x1)), node(empty, node(right(left(node(empty, x1))), right(node(empty, x1)))), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c8(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), isEmpty(empty), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x0, inc(x0))) COUNT(node(z0, z1), x2) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(z0), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c8(IF(false, isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), true, right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x0, inc(x0))) COUNT(node(node(z0, z1), x1), x2) -> c8(IF(isEmpty(node(node(z0, z1), x1)), false, right(node(node(z0, z1), x1)), node(left(left(node(node(z0, z1), x1))), node(right(left(node(node(z0, z1), x1))), right(node(node(z0, z1), x1)))), x2, inc(x2))) COUNT(node(empty, x1), x2) -> c8(IF(isEmpty(node(empty, x1)), true, right(node(empty, x1)), node(left(left(node(empty, x1))), node(right(left(node(empty, x1))), right(node(empty, x1)))), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c8(IF(false, isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2))) COUNT(empty, 0) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), 0, s(0))) COUNT(node(z0, z1), 0) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), 0, s(0))) COUNT(empty, 0) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), 0, s(0))) COUNT(node(z0, z1), 0) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), 0, s(0))) COUNT(empty, 0) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), 0, s(0))) COUNT(node(z0, z1), 0) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), 0, s(0))) COUNT(empty, 0) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), 0, s(0))) COUNT(node(z0, z1), 0) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), 0, s(0))) COUNT(empty, 0) -> c9(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), 0, s(0))) COUNT(node(z0, z1), 0) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), 0, s(0))) COUNT(node(z0, z1), 0) -> c9(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), 0, s(0))) COUNT(x0, s(0)) -> c9(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(0), s(s(0)))) COUNT(x0, s(s(z0))) -> c9(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(s(z0)), s(s(inc(z0))))) COUNT(empty, s(x1)) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), s(x1), s(inc(x1)))) COUNT(node(z0, z1), s(x1)) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), s(x1), s(inc(x1)))) COUNT(empty, s(x1)) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), s(x1), s(inc(x1)))) COUNT(node(z0, z1), s(x1)) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), s(x1), s(inc(x1)))) COUNT(empty, s(x1)) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), s(x1), s(inc(x1)))) COUNT(node(z0, z1), s(x1)) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1)))) COUNT(empty, s(x1)) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), s(x1), s(inc(x1)))) COUNT(node(z0, z1), s(x1)) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1)))) COUNT(empty, s(x1)) -> c9(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), s(x1), s(inc(x1)))) COUNT(node(z0, z1), s(x1)) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1)))) COUNT(node(z0, z1), s(x1)) -> c9(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1)))) COUNT(empty, x0) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), empty)), x0, inc(x0))) COUNT(empty, x0) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), empty)), x0, inc(x0))) COUNT(empty, x0) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), empty)), x0, inc(x0))) COUNT(empty, x0) -> c9(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x0, inc(x0))) COUNT(node(z0, z1), x2) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), z1)), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), z1)), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c9(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x2, inc(x2))) COUNT(empty, x0) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(empty, right(empty))), x0, inc(x0))) COUNT(empty, x0) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(empty), right(empty))), x0, inc(x0))) COUNT(empty, x0) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(empty), right(empty))), x0, inc(x0))) COUNT(empty, x0) -> c9(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x0, inc(x0))) COUNT(node(node(z0, z1), x1), x2) -> c9(IF(isEmpty(node(node(z0, z1), x1)), isEmpty(left(node(node(z0, z1), x1))), right(node(node(z0, z1), x1)), node(left(left(node(node(z0, z1), x1))), node(z1, right(node(node(z0, z1), x1)))), x2, inc(x2))) COUNT(node(empty, x1), x2) -> c9(IF(isEmpty(node(empty, x1)), isEmpty(left(node(empty, x1))), right(node(empty, x1)), node(left(left(node(empty, x1))), node(empty, right(node(empty, x1)))), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(z0), right(node(z0, z1)))), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c9(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x2, inc(x2))) COUNT(empty, x0) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(empty, node(right(left(empty)), right(empty))), x0, inc(x0))) COUNT(empty, x0) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(empty), node(right(left(empty)), right(empty))), x0, inc(x0))) COUNT(empty, x0) -> c9(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x0, inc(x0))) COUNT(node(node(z0, z1), x1), x2) -> c9(IF(isEmpty(node(node(z0, z1), x1)), isEmpty(left(node(node(z0, z1), x1))), right(node(node(z0, z1), x1)), node(z0, node(right(left(node(node(z0, z1), x1))), right(node(node(z0, z1), x1)))), x2, inc(x2))) COUNT(node(empty, x1), x2) -> c9(IF(isEmpty(node(empty, x1)), isEmpty(left(node(empty, x1))), right(node(empty, x1)), node(empty, node(right(left(node(empty, x1))), right(node(empty, x1)))), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c9(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2))) COUNT(empty, x0) -> c9(IF(isEmpty(empty), isEmpty(empty), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x0, inc(x0))) S tuples: INC(s(z0)) -> c7(INC(z0)) IF(false, false, z0, z1, z2, z3) -> c16(COUNT(z1, z2)) IF(false, true, z0, z1, z2, z3) -> c17(COUNT(z0, z3)) COUNT(node(z0, z1), x1) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c9(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c9(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, 0) -> c10(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(x0, s(z0)) -> c10(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0)))) COUNT(empty, x1) -> c10(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1))) COUNT(empty, x1) -> c10(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c10(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c10(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c10(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, 0) -> c11(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(x0, s(z0)) -> c11(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0)))) COUNT(empty, x1) -> c11(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1))) COUNT(empty, x1) -> c11(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c11(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c11(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c11(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, 0) -> c12(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(x0, s(z0)) -> c12(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0)))) COUNT(empty, x1) -> c12(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1))) COUNT(empty, x1) -> c12(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c12(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c12(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c12(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, 0) -> c13(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(x0, s(z0)) -> c13(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0)))) COUNT(empty, x1) -> c13(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1))) COUNT(empty, x1) -> c13(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c13(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c13(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c13(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, s(0)) -> c14(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(0), s(s(0))), INC(s(0))) COUNT(x0, s(s(z0))) -> c14(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(s(z0)), s(s(inc(z0)))), INC(s(s(z0)))) COUNT(empty, s(x1)) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), s(x1), s(inc(x1))), INC(s(x1))) COUNT(empty, s(x1)) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(empty, s(x1)) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(empty, s(x1)) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(empty, s(x1)) -> c14(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), empty)), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), empty)), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), empty)), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x0, inc(x0)), INC(x0)) COUNT(empty, 0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), 0, s(0))) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), z1)), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), z1)), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x2, inc(x2)), INC(x2)) COUNT(node(x0, x1), 0) -> c14(IF(isEmpty(node(x0, x1)), isEmpty(left(node(x0, x1))), right(node(x0, x1)), node(left(left(node(x0, x1))), node(right(left(node(x0, x1))), x1)), 0, s(0))) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(empty, right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(empty), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(empty), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, 0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), 0, s(0))) COUNT(node(node(z0, z1), x1), x2) -> c14(IF(isEmpty(node(node(z0, z1), x1)), isEmpty(left(node(node(z0, z1), x1))), right(node(node(z0, z1), x1)), node(left(left(node(node(z0, z1), x1))), node(z1, right(node(node(z0, z1), x1)))), x2, inc(x2)), INC(x2)) COUNT(node(empty, x1), x2) -> c14(IF(isEmpty(node(empty, x1)), isEmpty(left(node(empty, x1))), right(node(empty, x1)), node(left(left(node(empty, x1))), node(empty, right(node(empty, x1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(z0), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(x0, x1), 0) -> c14(IF(isEmpty(node(x0, x1)), isEmpty(left(node(x0, x1))), right(node(x0, x1)), node(left(left(node(x0, x1))), node(right(x0), right(node(x0, x1)))), 0, s(0))) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(empty, node(right(left(empty)), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(empty), node(right(left(empty)), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, 0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), 0, s(0))) COUNT(node(node(z0, z1), x1), x2) -> c14(IF(isEmpty(node(node(z0, z1), x1)), isEmpty(left(node(node(z0, z1), x1))), right(node(node(z0, z1), x1)), node(z0, node(right(left(node(node(z0, z1), x1))), right(node(node(z0, z1), x1)))), x2, inc(x2)), INC(x2)) COUNT(node(empty, x1), x2) -> c14(IF(isEmpty(node(empty, x1)), isEmpty(left(node(empty, x1))), right(node(empty, x1)), node(empty, node(right(left(node(empty, x1))), right(node(empty, x1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(x0, x1), 0) -> c14(IF(isEmpty(node(x0, x1)), isEmpty(left(node(x0, x1))), right(node(x0, x1)), node(left(x0), node(right(left(node(x0, x1))), right(node(x0, x1)))), 0, s(0))) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(empty), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, 0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), 0, s(0))) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(z0), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(false, isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(x0, x1), 0) -> c14(IF(isEmpty(node(x0, x1)), isEmpty(left(node(x0, x1))), x1, node(left(left(node(x0, x1))), node(right(left(node(x0, x1))), right(node(x0, x1)))), 0, s(0))) COUNT(empty, x0) -> c14(IF(isEmpty(empty), true, right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, 0) -> c14(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), 0, s(0))) COUNT(node(node(z0, z1), x1), x2) -> c14(IF(isEmpty(node(node(z0, z1), x1)), false, right(node(node(z0, z1), x1)), node(left(left(node(node(z0, z1), x1))), node(right(left(node(node(z0, z1), x1))), right(node(node(z0, z1), x1)))), x2, inc(x2)), INC(x2)) COUNT(node(empty, x1), x2) -> c14(IF(isEmpty(node(empty, x1)), true, right(node(empty, x1)), node(left(left(node(empty, x1))), node(right(left(node(empty, x1))), right(node(empty, x1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(false, isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(x0, x1), 0) -> c14(IF(isEmpty(node(x0, x1)), isEmpty(x0), right(node(x0, x1)), node(left(left(node(x0, x1))), node(right(left(node(x0, x1))), right(node(x0, x1)))), 0, s(0))) COUNT(node(x0, x1), 0) -> c14(IF(false, isEmpty(left(node(x0, x1))), right(node(x0, x1)), node(left(left(node(x0, x1))), node(right(left(node(x0, x1))), right(node(x0, x1)))), 0, s(0))) COUNT(empty, 0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), 0, s(0))) COUNT(node(z0, z1), 0) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), 0, s(0))) COUNT(empty, 0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), 0, s(0))) COUNT(node(z0, z1), 0) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), 0, s(0))) COUNT(empty, 0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), 0, s(0))) COUNT(node(z0, z1), 0) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), 0, s(0))) COUNT(empty, 0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), 0, s(0))) COUNT(node(z0, z1), 0) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), 0, s(0))) COUNT(empty, 0) -> c8(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), 0, s(0))) COUNT(node(z0, z1), 0) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), 0, s(0))) COUNT(node(z0, z1), 0) -> c8(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), 0, s(0))) COUNT(x0, s(0)) -> c8(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(0), s(s(0)))) COUNT(x0, s(s(z0))) -> c8(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(s(z0)), s(s(inc(z0))))) COUNT(empty, s(x1)) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), s(x1), s(inc(x1)))) COUNT(node(z0, z1), s(x1)) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), s(x1), s(inc(x1)))) COUNT(empty, s(x1)) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), s(x1), s(inc(x1)))) COUNT(node(z0, z1), s(x1)) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), s(x1), s(inc(x1)))) COUNT(empty, s(x1)) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), s(x1), s(inc(x1)))) COUNT(node(z0, z1), s(x1)) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1)))) COUNT(empty, s(x1)) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), s(x1), s(inc(x1)))) COUNT(node(z0, z1), s(x1)) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1)))) COUNT(empty, s(x1)) -> c8(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), s(x1), s(inc(x1)))) COUNT(node(z0, z1), s(x1)) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1)))) COUNT(node(z0, z1), s(x1)) -> c8(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1)))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), empty)), x0, inc(x0))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), empty)), x0, inc(x0))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), empty)), x0, inc(x0))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x0, inc(x0))) COUNT(node(z0, z1), x2) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), z1)), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), z1)), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c8(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x2, inc(x2))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(empty, right(empty))), x0, inc(x0))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(empty), right(empty))), x0, inc(x0))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(empty), right(empty))), x0, inc(x0))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x0, inc(x0))) COUNT(node(node(z0, z1), x1), x2) -> c8(IF(isEmpty(node(node(z0, z1), x1)), isEmpty(left(node(node(z0, z1), x1))), right(node(node(z0, z1), x1)), node(left(left(node(node(z0, z1), x1))), node(z1, right(node(node(z0, z1), x1)))), x2, inc(x2))) COUNT(node(empty, x1), x2) -> c8(IF(isEmpty(node(empty, x1)), isEmpty(left(node(empty, x1))), right(node(empty, x1)), node(left(left(node(empty, x1))), node(empty, right(node(empty, x1)))), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(z0), right(node(z0, z1)))), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c8(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x2, inc(x2))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(empty, node(right(left(empty)), right(empty))), x0, inc(x0))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(empty), node(right(left(empty)), right(empty))), x0, inc(x0))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x0, inc(x0))) COUNT(node(node(z0, z1), x1), x2) -> c8(IF(isEmpty(node(node(z0, z1), x1)), isEmpty(left(node(node(z0, z1), x1))), right(node(node(z0, z1), x1)), node(z0, node(right(left(node(node(z0, z1), x1))), right(node(node(z0, z1), x1)))), x2, inc(x2))) COUNT(node(empty, x1), x2) -> c8(IF(isEmpty(node(empty, x1)), isEmpty(left(node(empty, x1))), right(node(empty, x1)), node(empty, node(right(left(node(empty, x1))), right(node(empty, x1)))), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c8(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), isEmpty(empty), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x0, inc(x0))) COUNT(node(z0, z1), x2) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(z0), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c8(IF(false, isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), true, right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x0, inc(x0))) COUNT(node(node(z0, z1), x1), x2) -> c8(IF(isEmpty(node(node(z0, z1), x1)), false, right(node(node(z0, z1), x1)), node(left(left(node(node(z0, z1), x1))), node(right(left(node(node(z0, z1), x1))), right(node(node(z0, z1), x1)))), x2, inc(x2))) COUNT(node(empty, x1), x2) -> c8(IF(isEmpty(node(empty, x1)), true, right(node(empty, x1)), node(left(left(node(empty, x1))), node(right(left(node(empty, x1))), right(node(empty, x1)))), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c8(IF(false, isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2))) COUNT(empty, 0) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), 0, s(0))) COUNT(node(z0, z1), 0) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), 0, s(0))) COUNT(empty, 0) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), 0, s(0))) COUNT(node(z0, z1), 0) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), 0, s(0))) COUNT(empty, 0) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), 0, s(0))) COUNT(node(z0, z1), 0) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), 0, s(0))) COUNT(empty, 0) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), 0, s(0))) COUNT(node(z0, z1), 0) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), 0, s(0))) COUNT(empty, 0) -> c9(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), 0, s(0))) COUNT(node(z0, z1), 0) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), 0, s(0))) COUNT(node(z0, z1), 0) -> c9(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), 0, s(0))) COUNT(x0, s(0)) -> c9(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(0), s(s(0)))) COUNT(x0, s(s(z0))) -> c9(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(s(z0)), s(s(inc(z0))))) COUNT(empty, s(x1)) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), s(x1), s(inc(x1)))) COUNT(node(z0, z1), s(x1)) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), s(x1), s(inc(x1)))) COUNT(empty, s(x1)) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), s(x1), s(inc(x1)))) COUNT(node(z0, z1), s(x1)) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), s(x1), s(inc(x1)))) COUNT(empty, s(x1)) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), s(x1), s(inc(x1)))) COUNT(node(z0, z1), s(x1)) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1)))) COUNT(empty, s(x1)) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), s(x1), s(inc(x1)))) COUNT(node(z0, z1), s(x1)) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1)))) COUNT(empty, s(x1)) -> c9(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), s(x1), s(inc(x1)))) COUNT(node(z0, z1), s(x1)) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1)))) COUNT(node(z0, z1), s(x1)) -> c9(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1)))) COUNT(empty, x0) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), empty)), x0, inc(x0))) COUNT(empty, x0) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), empty)), x0, inc(x0))) COUNT(empty, x0) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), empty)), x0, inc(x0))) COUNT(empty, x0) -> c9(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x0, inc(x0))) COUNT(node(z0, z1), x2) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), z1)), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), z1)), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c9(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x2, inc(x2))) COUNT(empty, x0) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(empty, right(empty))), x0, inc(x0))) COUNT(empty, x0) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(empty), right(empty))), x0, inc(x0))) COUNT(empty, x0) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(empty), right(empty))), x0, inc(x0))) COUNT(empty, x0) -> c9(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x0, inc(x0))) COUNT(node(node(z0, z1), x1), x2) -> c9(IF(isEmpty(node(node(z0, z1), x1)), isEmpty(left(node(node(z0, z1), x1))), right(node(node(z0, z1), x1)), node(left(left(node(node(z0, z1), x1))), node(z1, right(node(node(z0, z1), x1)))), x2, inc(x2))) COUNT(node(empty, x1), x2) -> c9(IF(isEmpty(node(empty, x1)), isEmpty(left(node(empty, x1))), right(node(empty, x1)), node(left(left(node(empty, x1))), node(empty, right(node(empty, x1)))), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(z0), right(node(z0, z1)))), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c9(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x2, inc(x2))) COUNT(empty, x0) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(empty, node(right(left(empty)), right(empty))), x0, inc(x0))) COUNT(empty, x0) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(empty), node(right(left(empty)), right(empty))), x0, inc(x0))) COUNT(empty, x0) -> c9(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x0, inc(x0))) COUNT(node(node(z0, z1), x1), x2) -> c9(IF(isEmpty(node(node(z0, z1), x1)), isEmpty(left(node(node(z0, z1), x1))), right(node(node(z0, z1), x1)), node(z0, node(right(left(node(node(z0, z1), x1))), right(node(node(z0, z1), x1)))), x2, inc(x2))) COUNT(node(empty, x1), x2) -> c9(IF(isEmpty(node(empty, x1)), isEmpty(left(node(empty, x1))), right(node(empty, x1)), node(empty, node(right(left(node(empty, x1))), right(node(empty, x1)))), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c9(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2))) COUNT(empty, x0) -> c9(IF(isEmpty(empty), isEmpty(empty), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x0, inc(x0))) K tuples: COUNT(empty, x1) -> c14(INC(x1)) COUNT(x0, s(x1)) -> c14(INC(s(x1))) COUNT(empty, s(x1)) -> c14(INC(s(x1))) Defined Rule Symbols: isEmpty_1, left_1, right_1, inc_1 Defined Pair Symbols: INC_1, IF_6, COUNT_2 Compound Symbols: c7_1, c16_1, c17_1, c14_1, c9_1, c10_1, c11_1, c12_1, c13_1, c14_2, c8_1 ---------------------------------------- (227) CdtNarrowingProof (BOTH BOUNDS(ID, ID)) Use narrowing to replace COUNT(node(z0, z1), x1) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) by COUNT(node(x0, x1), 0) -> c9(IF(isEmpty(node(x0, x1)), isEmpty(left(node(x0, x1))), x1, node(left(left(node(x0, x1))), node(right(left(node(x0, x1))), right(node(x0, x1)))), 0, s(0))) COUNT(node(x0, x1), s(z0)) -> c9(IF(isEmpty(node(x0, x1)), isEmpty(left(node(x0, x1))), x1, node(left(left(node(x0, x1))), node(right(left(node(x0, x1))), right(node(x0, x1)))), s(z0), s(inc(z0)))) COUNT(node(z0, z1), x2) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(z0), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c9(IF(false, isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2))) ---------------------------------------- (228) Obligation: Complexity Dependency Tuples Problem Rules: isEmpty(empty) -> true isEmpty(node(z0, z1)) -> false left(empty) -> empty left(node(z0, z1)) -> z0 right(empty) -> empty right(node(z0, z1)) -> z1 inc(0) -> s(0) inc(s(z0)) -> s(inc(z0)) Tuples: INC(s(z0)) -> c7(INC(z0)) IF(false, false, z0, z1, z2, z3) -> c16(COUNT(z1, z2)) IF(false, true, z0, z1, z2, z3) -> c17(COUNT(z0, z3)) COUNT(empty, x1) -> c14(INC(x1)) COUNT(empty, x1) -> c9(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c9(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, 0) -> c10(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(x0, s(z0)) -> c10(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0)))) COUNT(empty, x1) -> c10(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1))) COUNT(empty, x1) -> c10(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c10(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c10(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c10(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, 0) -> c11(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(x0, s(z0)) -> c11(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0)))) COUNT(empty, x1) -> c11(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1))) COUNT(empty, x1) -> c11(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c11(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c11(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c11(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, 0) -> c12(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(x0, s(z0)) -> c12(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0)))) COUNT(empty, x1) -> c12(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1))) COUNT(empty, x1) -> c12(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c12(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c12(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c12(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, 0) -> c13(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(x0, s(z0)) -> c13(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0)))) COUNT(empty, x1) -> c13(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1))) COUNT(empty, x1) -> c13(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c13(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c13(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c13(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, s(0)) -> c14(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(0), s(s(0))), INC(s(0))) COUNT(x0, s(s(z0))) -> c14(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(s(z0)), s(s(inc(z0)))), INC(s(s(z0)))) COUNT(empty, s(x1)) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), s(x1), s(inc(x1))), INC(s(x1))) COUNT(empty, s(x1)) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(empty, s(x1)) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(empty, s(x1)) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(empty, s(x1)) -> c14(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(x0, s(x1)) -> c14(INC(s(x1))) COUNT(empty, s(x1)) -> c14(INC(s(x1))) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), empty)), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), empty)), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), empty)), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x0, inc(x0)), INC(x0)) COUNT(empty, 0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), 0, s(0))) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), z1)), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), z1)), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x2, inc(x2)), INC(x2)) COUNT(node(x0, x1), 0) -> c14(IF(isEmpty(node(x0, x1)), isEmpty(left(node(x0, x1))), right(node(x0, x1)), node(left(left(node(x0, x1))), node(right(left(node(x0, x1))), x1)), 0, s(0))) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(empty, right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(empty), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(empty), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, 0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), 0, s(0))) COUNT(node(node(z0, z1), x1), x2) -> c14(IF(isEmpty(node(node(z0, z1), x1)), isEmpty(left(node(node(z0, z1), x1))), right(node(node(z0, z1), x1)), node(left(left(node(node(z0, z1), x1))), node(z1, right(node(node(z0, z1), x1)))), x2, inc(x2)), INC(x2)) COUNT(node(empty, x1), x2) -> c14(IF(isEmpty(node(empty, x1)), isEmpty(left(node(empty, x1))), right(node(empty, x1)), node(left(left(node(empty, x1))), node(empty, right(node(empty, x1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(z0), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(x0, x1), 0) -> c14(IF(isEmpty(node(x0, x1)), isEmpty(left(node(x0, x1))), right(node(x0, x1)), node(left(left(node(x0, x1))), node(right(x0), right(node(x0, x1)))), 0, s(0))) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(empty, node(right(left(empty)), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(empty), node(right(left(empty)), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, 0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), 0, s(0))) COUNT(node(node(z0, z1), x1), x2) -> c14(IF(isEmpty(node(node(z0, z1), x1)), isEmpty(left(node(node(z0, z1), x1))), right(node(node(z0, z1), x1)), node(z0, node(right(left(node(node(z0, z1), x1))), right(node(node(z0, z1), x1)))), x2, inc(x2)), INC(x2)) COUNT(node(empty, x1), x2) -> c14(IF(isEmpty(node(empty, x1)), isEmpty(left(node(empty, x1))), right(node(empty, x1)), node(empty, node(right(left(node(empty, x1))), right(node(empty, x1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(x0, x1), 0) -> c14(IF(isEmpty(node(x0, x1)), isEmpty(left(node(x0, x1))), right(node(x0, x1)), node(left(x0), node(right(left(node(x0, x1))), right(node(x0, x1)))), 0, s(0))) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(empty), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, 0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), 0, s(0))) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(z0), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(false, isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(x0, x1), 0) -> c14(IF(isEmpty(node(x0, x1)), isEmpty(left(node(x0, x1))), x1, node(left(left(node(x0, x1))), node(right(left(node(x0, x1))), right(node(x0, x1)))), 0, s(0))) COUNT(empty, x0) -> c14(IF(isEmpty(empty), true, right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, 0) -> c14(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), 0, s(0))) COUNT(node(node(z0, z1), x1), x2) -> c14(IF(isEmpty(node(node(z0, z1), x1)), false, right(node(node(z0, z1), x1)), node(left(left(node(node(z0, z1), x1))), node(right(left(node(node(z0, z1), x1))), right(node(node(z0, z1), x1)))), x2, inc(x2)), INC(x2)) COUNT(node(empty, x1), x2) -> c14(IF(isEmpty(node(empty, x1)), true, right(node(empty, x1)), node(left(left(node(empty, x1))), node(right(left(node(empty, x1))), right(node(empty, x1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(false, isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(x0, x1), 0) -> c14(IF(isEmpty(node(x0, x1)), isEmpty(x0), right(node(x0, x1)), node(left(left(node(x0, x1))), node(right(left(node(x0, x1))), right(node(x0, x1)))), 0, s(0))) COUNT(node(x0, x1), 0) -> c14(IF(false, isEmpty(left(node(x0, x1))), right(node(x0, x1)), node(left(left(node(x0, x1))), node(right(left(node(x0, x1))), right(node(x0, x1)))), 0, s(0))) COUNT(empty, 0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), 0, s(0))) COUNT(node(z0, z1), 0) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), 0, s(0))) COUNT(empty, 0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), 0, s(0))) COUNT(node(z0, z1), 0) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), 0, s(0))) COUNT(empty, 0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), 0, s(0))) COUNT(node(z0, z1), 0) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), 0, s(0))) COUNT(empty, 0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), 0, s(0))) COUNT(node(z0, z1), 0) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), 0, s(0))) COUNT(empty, 0) -> c8(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), 0, s(0))) COUNT(node(z0, z1), 0) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), 0, s(0))) COUNT(node(z0, z1), 0) -> c8(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), 0, s(0))) COUNT(x0, s(0)) -> c8(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(0), s(s(0)))) COUNT(x0, s(s(z0))) -> c8(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(s(z0)), s(s(inc(z0))))) COUNT(empty, s(x1)) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), s(x1), s(inc(x1)))) COUNT(node(z0, z1), s(x1)) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), s(x1), s(inc(x1)))) COUNT(empty, s(x1)) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), s(x1), s(inc(x1)))) COUNT(node(z0, z1), s(x1)) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), s(x1), s(inc(x1)))) COUNT(empty, s(x1)) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), s(x1), s(inc(x1)))) COUNT(node(z0, z1), s(x1)) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1)))) COUNT(empty, s(x1)) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), s(x1), s(inc(x1)))) COUNT(node(z0, z1), s(x1)) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1)))) COUNT(empty, s(x1)) -> c8(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), s(x1), s(inc(x1)))) COUNT(node(z0, z1), s(x1)) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1)))) COUNT(node(z0, z1), s(x1)) -> c8(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1)))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), empty)), x0, inc(x0))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), empty)), x0, inc(x0))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), empty)), x0, inc(x0))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x0, inc(x0))) COUNT(node(z0, z1), x2) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), z1)), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), z1)), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c8(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x2, inc(x2))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(empty, right(empty))), x0, inc(x0))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(empty), right(empty))), x0, inc(x0))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(empty), right(empty))), x0, inc(x0))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x0, inc(x0))) COUNT(node(node(z0, z1), x1), x2) -> c8(IF(isEmpty(node(node(z0, z1), x1)), isEmpty(left(node(node(z0, z1), x1))), right(node(node(z0, z1), x1)), node(left(left(node(node(z0, z1), x1))), node(z1, right(node(node(z0, z1), x1)))), x2, inc(x2))) COUNT(node(empty, x1), x2) -> c8(IF(isEmpty(node(empty, x1)), isEmpty(left(node(empty, x1))), right(node(empty, x1)), node(left(left(node(empty, x1))), node(empty, right(node(empty, x1)))), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(z0), right(node(z0, z1)))), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c8(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x2, inc(x2))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(empty, node(right(left(empty)), right(empty))), x0, inc(x0))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(empty), node(right(left(empty)), right(empty))), x0, inc(x0))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x0, inc(x0))) COUNT(node(node(z0, z1), x1), x2) -> c8(IF(isEmpty(node(node(z0, z1), x1)), isEmpty(left(node(node(z0, z1), x1))), right(node(node(z0, z1), x1)), node(z0, node(right(left(node(node(z0, z1), x1))), right(node(node(z0, z1), x1)))), x2, inc(x2))) COUNT(node(empty, x1), x2) -> c8(IF(isEmpty(node(empty, x1)), isEmpty(left(node(empty, x1))), right(node(empty, x1)), node(empty, node(right(left(node(empty, x1))), right(node(empty, x1)))), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c8(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), isEmpty(empty), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x0, inc(x0))) COUNT(node(z0, z1), x2) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(z0), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c8(IF(false, isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), true, right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x0, inc(x0))) COUNT(node(node(z0, z1), x1), x2) -> c8(IF(isEmpty(node(node(z0, z1), x1)), false, right(node(node(z0, z1), x1)), node(left(left(node(node(z0, z1), x1))), node(right(left(node(node(z0, z1), x1))), right(node(node(z0, z1), x1)))), x2, inc(x2))) COUNT(node(empty, x1), x2) -> c8(IF(isEmpty(node(empty, x1)), true, right(node(empty, x1)), node(left(left(node(empty, x1))), node(right(left(node(empty, x1))), right(node(empty, x1)))), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c8(IF(false, isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2))) COUNT(empty, 0) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), 0, s(0))) COUNT(node(z0, z1), 0) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), 0, s(0))) COUNT(empty, 0) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), 0, s(0))) COUNT(node(z0, z1), 0) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), 0, s(0))) COUNT(empty, 0) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), 0, s(0))) COUNT(node(z0, z1), 0) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), 0, s(0))) COUNT(empty, 0) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), 0, s(0))) COUNT(node(z0, z1), 0) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), 0, s(0))) COUNT(empty, 0) -> c9(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), 0, s(0))) COUNT(node(z0, z1), 0) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), 0, s(0))) COUNT(node(z0, z1), 0) -> c9(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), 0, s(0))) COUNT(x0, s(0)) -> c9(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(0), s(s(0)))) COUNT(x0, s(s(z0))) -> c9(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(s(z0)), s(s(inc(z0))))) COUNT(empty, s(x1)) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), s(x1), s(inc(x1)))) COUNT(node(z0, z1), s(x1)) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), s(x1), s(inc(x1)))) COUNT(empty, s(x1)) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), s(x1), s(inc(x1)))) COUNT(node(z0, z1), s(x1)) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), s(x1), s(inc(x1)))) COUNT(empty, s(x1)) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), s(x1), s(inc(x1)))) COUNT(node(z0, z1), s(x1)) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1)))) COUNT(empty, s(x1)) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), s(x1), s(inc(x1)))) COUNT(node(z0, z1), s(x1)) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1)))) COUNT(empty, s(x1)) -> c9(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), s(x1), s(inc(x1)))) COUNT(node(z0, z1), s(x1)) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1)))) COUNT(node(z0, z1), s(x1)) -> c9(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1)))) COUNT(empty, x0) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), empty)), x0, inc(x0))) COUNT(empty, x0) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), empty)), x0, inc(x0))) COUNT(empty, x0) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), empty)), x0, inc(x0))) COUNT(empty, x0) -> c9(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x0, inc(x0))) COUNT(node(z0, z1), x2) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), z1)), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), z1)), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c9(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x2, inc(x2))) COUNT(empty, x0) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(empty, right(empty))), x0, inc(x0))) COUNT(empty, x0) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(empty), right(empty))), x0, inc(x0))) COUNT(empty, x0) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(empty), right(empty))), x0, inc(x0))) COUNT(empty, x0) -> c9(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x0, inc(x0))) COUNT(node(node(z0, z1), x1), x2) -> c9(IF(isEmpty(node(node(z0, z1), x1)), isEmpty(left(node(node(z0, z1), x1))), right(node(node(z0, z1), x1)), node(left(left(node(node(z0, z1), x1))), node(z1, right(node(node(z0, z1), x1)))), x2, inc(x2))) COUNT(node(empty, x1), x2) -> c9(IF(isEmpty(node(empty, x1)), isEmpty(left(node(empty, x1))), right(node(empty, x1)), node(left(left(node(empty, x1))), node(empty, right(node(empty, x1)))), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(z0), right(node(z0, z1)))), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c9(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x2, inc(x2))) COUNT(empty, x0) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(empty, node(right(left(empty)), right(empty))), x0, inc(x0))) COUNT(empty, x0) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(empty), node(right(left(empty)), right(empty))), x0, inc(x0))) COUNT(empty, x0) -> c9(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x0, inc(x0))) COUNT(node(node(z0, z1), x1), x2) -> c9(IF(isEmpty(node(node(z0, z1), x1)), isEmpty(left(node(node(z0, z1), x1))), right(node(node(z0, z1), x1)), node(z0, node(right(left(node(node(z0, z1), x1))), right(node(node(z0, z1), x1)))), x2, inc(x2))) COUNT(node(empty, x1), x2) -> c9(IF(isEmpty(node(empty, x1)), isEmpty(left(node(empty, x1))), right(node(empty, x1)), node(empty, node(right(left(node(empty, x1))), right(node(empty, x1)))), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c9(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2))) COUNT(empty, x0) -> c9(IF(isEmpty(empty), isEmpty(empty), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x0, inc(x0))) COUNT(node(z0, z1), x2) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(z0), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c9(IF(false, isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2))) S tuples: INC(s(z0)) -> c7(INC(z0)) IF(false, false, z0, z1, z2, z3) -> c16(COUNT(z1, z2)) IF(false, true, z0, z1, z2, z3) -> c17(COUNT(z0, z3)) COUNT(empty, x1) -> c9(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c9(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, 0) -> c10(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(x0, s(z0)) -> c10(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0)))) COUNT(empty, x1) -> c10(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1))) COUNT(empty, x1) -> c10(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c10(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c10(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c10(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, 0) -> c11(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(x0, s(z0)) -> c11(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0)))) COUNT(empty, x1) -> c11(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1))) COUNT(empty, x1) -> c11(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c11(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c11(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c11(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, 0) -> c12(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(x0, s(z0)) -> c12(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0)))) COUNT(empty, x1) -> c12(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1))) COUNT(empty, x1) -> c12(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c12(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c12(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c12(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, 0) -> c13(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(x0, s(z0)) -> c13(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0)))) COUNT(empty, x1) -> c13(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1))) COUNT(empty, x1) -> c13(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c13(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c13(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c13(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, s(0)) -> c14(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(0), s(s(0))), INC(s(0))) COUNT(x0, s(s(z0))) -> c14(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(s(z0)), s(s(inc(z0)))), INC(s(s(z0)))) COUNT(empty, s(x1)) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), s(x1), s(inc(x1))), INC(s(x1))) COUNT(empty, s(x1)) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(empty, s(x1)) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(empty, s(x1)) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(empty, s(x1)) -> c14(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), empty)), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), empty)), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), empty)), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x0, inc(x0)), INC(x0)) COUNT(empty, 0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), 0, s(0))) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), z1)), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), z1)), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x2, inc(x2)), INC(x2)) COUNT(node(x0, x1), 0) -> c14(IF(isEmpty(node(x0, x1)), isEmpty(left(node(x0, x1))), right(node(x0, x1)), node(left(left(node(x0, x1))), node(right(left(node(x0, x1))), x1)), 0, s(0))) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(empty, right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(empty), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(empty), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, 0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), 0, s(0))) COUNT(node(node(z0, z1), x1), x2) -> c14(IF(isEmpty(node(node(z0, z1), x1)), isEmpty(left(node(node(z0, z1), x1))), right(node(node(z0, z1), x1)), node(left(left(node(node(z0, z1), x1))), node(z1, right(node(node(z0, z1), x1)))), x2, inc(x2)), INC(x2)) COUNT(node(empty, x1), x2) -> c14(IF(isEmpty(node(empty, x1)), isEmpty(left(node(empty, x1))), right(node(empty, x1)), node(left(left(node(empty, x1))), node(empty, right(node(empty, x1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(z0), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(x0, x1), 0) -> c14(IF(isEmpty(node(x0, x1)), isEmpty(left(node(x0, x1))), right(node(x0, x1)), node(left(left(node(x0, x1))), node(right(x0), right(node(x0, x1)))), 0, s(0))) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(empty, node(right(left(empty)), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(empty), node(right(left(empty)), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, 0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), 0, s(0))) COUNT(node(node(z0, z1), x1), x2) -> c14(IF(isEmpty(node(node(z0, z1), x1)), isEmpty(left(node(node(z0, z1), x1))), right(node(node(z0, z1), x1)), node(z0, node(right(left(node(node(z0, z1), x1))), right(node(node(z0, z1), x1)))), x2, inc(x2)), INC(x2)) COUNT(node(empty, x1), x2) -> c14(IF(isEmpty(node(empty, x1)), isEmpty(left(node(empty, x1))), right(node(empty, x1)), node(empty, node(right(left(node(empty, x1))), right(node(empty, x1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(x0, x1), 0) -> c14(IF(isEmpty(node(x0, x1)), isEmpty(left(node(x0, x1))), right(node(x0, x1)), node(left(x0), node(right(left(node(x0, x1))), right(node(x0, x1)))), 0, s(0))) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(empty), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, 0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), 0, s(0))) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(z0), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(false, isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(x0, x1), 0) -> c14(IF(isEmpty(node(x0, x1)), isEmpty(left(node(x0, x1))), x1, node(left(left(node(x0, x1))), node(right(left(node(x0, x1))), right(node(x0, x1)))), 0, s(0))) COUNT(empty, x0) -> c14(IF(isEmpty(empty), true, right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, 0) -> c14(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), 0, s(0))) COUNT(node(node(z0, z1), x1), x2) -> c14(IF(isEmpty(node(node(z0, z1), x1)), false, right(node(node(z0, z1), x1)), node(left(left(node(node(z0, z1), x1))), node(right(left(node(node(z0, z1), x1))), right(node(node(z0, z1), x1)))), x2, inc(x2)), INC(x2)) COUNT(node(empty, x1), x2) -> c14(IF(isEmpty(node(empty, x1)), true, right(node(empty, x1)), node(left(left(node(empty, x1))), node(right(left(node(empty, x1))), right(node(empty, x1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(false, isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(x0, x1), 0) -> c14(IF(isEmpty(node(x0, x1)), isEmpty(x0), right(node(x0, x1)), node(left(left(node(x0, x1))), node(right(left(node(x0, x1))), right(node(x0, x1)))), 0, s(0))) COUNT(node(x0, x1), 0) -> c14(IF(false, isEmpty(left(node(x0, x1))), right(node(x0, x1)), node(left(left(node(x0, x1))), node(right(left(node(x0, x1))), right(node(x0, x1)))), 0, s(0))) COUNT(empty, 0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), 0, s(0))) COUNT(node(z0, z1), 0) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), 0, s(0))) COUNT(empty, 0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), 0, s(0))) COUNT(node(z0, z1), 0) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), 0, s(0))) COUNT(empty, 0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), 0, s(0))) COUNT(node(z0, z1), 0) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), 0, s(0))) COUNT(empty, 0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), 0, s(0))) COUNT(node(z0, z1), 0) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), 0, s(0))) COUNT(empty, 0) -> c8(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), 0, s(0))) COUNT(node(z0, z1), 0) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), 0, s(0))) COUNT(node(z0, z1), 0) -> c8(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), 0, s(0))) COUNT(x0, s(0)) -> c8(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(0), s(s(0)))) COUNT(x0, s(s(z0))) -> c8(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(s(z0)), s(s(inc(z0))))) COUNT(empty, s(x1)) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), s(x1), s(inc(x1)))) COUNT(node(z0, z1), s(x1)) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), s(x1), s(inc(x1)))) COUNT(empty, s(x1)) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), s(x1), s(inc(x1)))) COUNT(node(z0, z1), s(x1)) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), s(x1), s(inc(x1)))) COUNT(empty, s(x1)) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), s(x1), s(inc(x1)))) COUNT(node(z0, z1), s(x1)) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1)))) COUNT(empty, s(x1)) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), s(x1), s(inc(x1)))) COUNT(node(z0, z1), s(x1)) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1)))) COUNT(empty, s(x1)) -> c8(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), s(x1), s(inc(x1)))) COUNT(node(z0, z1), s(x1)) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1)))) COUNT(node(z0, z1), s(x1)) -> c8(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1)))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), empty)), x0, inc(x0))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), empty)), x0, inc(x0))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), empty)), x0, inc(x0))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x0, inc(x0))) COUNT(node(z0, z1), x2) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), z1)), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), z1)), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c8(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x2, inc(x2))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(empty, right(empty))), x0, inc(x0))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(empty), right(empty))), x0, inc(x0))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(empty), right(empty))), x0, inc(x0))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x0, inc(x0))) COUNT(node(node(z0, z1), x1), x2) -> c8(IF(isEmpty(node(node(z0, z1), x1)), isEmpty(left(node(node(z0, z1), x1))), right(node(node(z0, z1), x1)), node(left(left(node(node(z0, z1), x1))), node(z1, right(node(node(z0, z1), x1)))), x2, inc(x2))) COUNT(node(empty, x1), x2) -> c8(IF(isEmpty(node(empty, x1)), isEmpty(left(node(empty, x1))), right(node(empty, x1)), node(left(left(node(empty, x1))), node(empty, right(node(empty, x1)))), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(z0), right(node(z0, z1)))), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c8(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x2, inc(x2))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(empty, node(right(left(empty)), right(empty))), x0, inc(x0))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(empty), node(right(left(empty)), right(empty))), x0, inc(x0))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x0, inc(x0))) COUNT(node(node(z0, z1), x1), x2) -> c8(IF(isEmpty(node(node(z0, z1), x1)), isEmpty(left(node(node(z0, z1), x1))), right(node(node(z0, z1), x1)), node(z0, node(right(left(node(node(z0, z1), x1))), right(node(node(z0, z1), x1)))), x2, inc(x2))) COUNT(node(empty, x1), x2) -> c8(IF(isEmpty(node(empty, x1)), isEmpty(left(node(empty, x1))), right(node(empty, x1)), node(empty, node(right(left(node(empty, x1))), right(node(empty, x1)))), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c8(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), isEmpty(empty), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x0, inc(x0))) COUNT(node(z0, z1), x2) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(z0), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c8(IF(false, isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), true, right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x0, inc(x0))) COUNT(node(node(z0, z1), x1), x2) -> c8(IF(isEmpty(node(node(z0, z1), x1)), false, right(node(node(z0, z1), x1)), node(left(left(node(node(z0, z1), x1))), node(right(left(node(node(z0, z1), x1))), right(node(node(z0, z1), x1)))), x2, inc(x2))) COUNT(node(empty, x1), x2) -> c8(IF(isEmpty(node(empty, x1)), true, right(node(empty, x1)), node(left(left(node(empty, x1))), node(right(left(node(empty, x1))), right(node(empty, x1)))), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c8(IF(false, isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2))) COUNT(empty, 0) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), 0, s(0))) COUNT(node(z0, z1), 0) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), 0, s(0))) COUNT(empty, 0) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), 0, s(0))) COUNT(node(z0, z1), 0) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), 0, s(0))) COUNT(empty, 0) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), 0, s(0))) COUNT(node(z0, z1), 0) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), 0, s(0))) COUNT(empty, 0) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), 0, s(0))) COUNT(node(z0, z1), 0) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), 0, s(0))) COUNT(empty, 0) -> c9(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), 0, s(0))) COUNT(node(z0, z1), 0) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), 0, s(0))) COUNT(node(z0, z1), 0) -> c9(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), 0, s(0))) COUNT(x0, s(0)) -> c9(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(0), s(s(0)))) COUNT(x0, s(s(z0))) -> c9(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(s(z0)), s(s(inc(z0))))) COUNT(empty, s(x1)) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), s(x1), s(inc(x1)))) COUNT(node(z0, z1), s(x1)) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), s(x1), s(inc(x1)))) COUNT(empty, s(x1)) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), s(x1), s(inc(x1)))) COUNT(node(z0, z1), s(x1)) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), s(x1), s(inc(x1)))) COUNT(empty, s(x1)) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), s(x1), s(inc(x1)))) COUNT(node(z0, z1), s(x1)) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1)))) COUNT(empty, s(x1)) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), s(x1), s(inc(x1)))) COUNT(node(z0, z1), s(x1)) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1)))) COUNT(empty, s(x1)) -> c9(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), s(x1), s(inc(x1)))) COUNT(node(z0, z1), s(x1)) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1)))) COUNT(node(z0, z1), s(x1)) -> c9(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1)))) COUNT(empty, x0) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), empty)), x0, inc(x0))) COUNT(empty, x0) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), empty)), x0, inc(x0))) COUNT(empty, x0) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), empty)), x0, inc(x0))) COUNT(empty, x0) -> c9(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x0, inc(x0))) COUNT(node(z0, z1), x2) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), z1)), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), z1)), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c9(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x2, inc(x2))) COUNT(empty, x0) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(empty, right(empty))), x0, inc(x0))) COUNT(empty, x0) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(empty), right(empty))), x0, inc(x0))) COUNT(empty, x0) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(empty), right(empty))), x0, inc(x0))) COUNT(empty, x0) -> c9(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x0, inc(x0))) COUNT(node(node(z0, z1), x1), x2) -> c9(IF(isEmpty(node(node(z0, z1), x1)), isEmpty(left(node(node(z0, z1), x1))), right(node(node(z0, z1), x1)), node(left(left(node(node(z0, z1), x1))), node(z1, right(node(node(z0, z1), x1)))), x2, inc(x2))) COUNT(node(empty, x1), x2) -> c9(IF(isEmpty(node(empty, x1)), isEmpty(left(node(empty, x1))), right(node(empty, x1)), node(left(left(node(empty, x1))), node(empty, right(node(empty, x1)))), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(z0), right(node(z0, z1)))), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c9(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x2, inc(x2))) COUNT(empty, x0) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(empty, node(right(left(empty)), right(empty))), x0, inc(x0))) COUNT(empty, x0) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(empty), node(right(left(empty)), right(empty))), x0, inc(x0))) COUNT(empty, x0) -> c9(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x0, inc(x0))) COUNT(node(node(z0, z1), x1), x2) -> c9(IF(isEmpty(node(node(z0, z1), x1)), isEmpty(left(node(node(z0, z1), x1))), right(node(node(z0, z1), x1)), node(z0, node(right(left(node(node(z0, z1), x1))), right(node(node(z0, z1), x1)))), x2, inc(x2))) COUNT(node(empty, x1), x2) -> c9(IF(isEmpty(node(empty, x1)), isEmpty(left(node(empty, x1))), right(node(empty, x1)), node(empty, node(right(left(node(empty, x1))), right(node(empty, x1)))), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c9(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2))) COUNT(empty, x0) -> c9(IF(isEmpty(empty), isEmpty(empty), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x0, inc(x0))) COUNT(node(z0, z1), x2) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(z0), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c9(IF(false, isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2))) K tuples: COUNT(empty, x1) -> c14(INC(x1)) COUNT(x0, s(x1)) -> c14(INC(s(x1))) COUNT(empty, s(x1)) -> c14(INC(s(x1))) Defined Rule Symbols: isEmpty_1, left_1, right_1, inc_1 Defined Pair Symbols: INC_1, IF_6, COUNT_2 Compound Symbols: c7_1, c16_1, c17_1, c14_1, c9_1, c10_1, c11_1, c12_1, c13_1, c14_2, c8_1 ---------------------------------------- (229) CdtNarrowingProof (BOTH BOUNDS(ID, ID)) Use narrowing to replace COUNT(empty, x1) -> c9(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) by COUNT(empty, 0) -> c9(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), 0, s(0))) COUNT(empty, s(z0)) -> c9(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), s(z0), s(inc(z0)))) COUNT(empty, x0) -> c9(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x0, inc(x0))) COUNT(empty, x0) -> c9(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x0, inc(x0))) COUNT(empty, x0) -> c9(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x0, inc(x0))) COUNT(empty, x0) -> c9(IF(isEmpty(empty), isEmpty(empty), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x0, inc(x0))) COUNT(empty, x0) -> c9(IF(isEmpty(empty), true, right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x0, inc(x0))) COUNT(empty, x0) -> c9(IF(true, isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x0, inc(x0))) ---------------------------------------- (230) Obligation: Complexity Dependency Tuples Problem Rules: isEmpty(empty) -> true isEmpty(node(z0, z1)) -> false left(empty) -> empty left(node(z0, z1)) -> z0 right(empty) -> empty right(node(z0, z1)) -> z1 inc(0) -> s(0) inc(s(z0)) -> s(inc(z0)) Tuples: INC(s(z0)) -> c7(INC(z0)) IF(false, false, z0, z1, z2, z3) -> c16(COUNT(z1, z2)) IF(false, true, z0, z1, z2, z3) -> c17(COUNT(z0, z3)) COUNT(empty, x1) -> c14(INC(x1)) COUNT(node(z0, z1), x1) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c9(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, 0) -> c10(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(x0, s(z0)) -> c10(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0)))) COUNT(empty, x1) -> c10(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1))) COUNT(empty, x1) -> c10(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c10(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c10(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c10(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, 0) -> c11(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(x0, s(z0)) -> c11(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0)))) COUNT(empty, x1) -> c11(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1))) COUNT(empty, x1) -> c11(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c11(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c11(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c11(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, 0) -> c12(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(x0, s(z0)) -> c12(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0)))) COUNT(empty, x1) -> c12(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1))) COUNT(empty, x1) -> c12(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c12(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c12(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c12(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, 0) -> c13(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(x0, s(z0)) -> c13(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0)))) COUNT(empty, x1) -> c13(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1))) COUNT(empty, x1) -> c13(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c13(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c13(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c13(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, s(0)) -> c14(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(0), s(s(0))), INC(s(0))) COUNT(x0, s(s(z0))) -> c14(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(s(z0)), s(s(inc(z0)))), INC(s(s(z0)))) COUNT(empty, s(x1)) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), s(x1), s(inc(x1))), INC(s(x1))) COUNT(empty, s(x1)) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(empty, s(x1)) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(empty, s(x1)) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(empty, s(x1)) -> c14(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(x0, s(x1)) -> c14(INC(s(x1))) COUNT(empty, s(x1)) -> c14(INC(s(x1))) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), empty)), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), empty)), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), empty)), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x0, inc(x0)), INC(x0)) COUNT(empty, 0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), 0, s(0))) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), z1)), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), z1)), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x2, inc(x2)), INC(x2)) COUNT(node(x0, x1), 0) -> c14(IF(isEmpty(node(x0, x1)), isEmpty(left(node(x0, x1))), right(node(x0, x1)), node(left(left(node(x0, x1))), node(right(left(node(x0, x1))), x1)), 0, s(0))) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(empty, right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(empty), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(empty), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, 0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), 0, s(0))) COUNT(node(node(z0, z1), x1), x2) -> c14(IF(isEmpty(node(node(z0, z1), x1)), isEmpty(left(node(node(z0, z1), x1))), right(node(node(z0, z1), x1)), node(left(left(node(node(z0, z1), x1))), node(z1, right(node(node(z0, z1), x1)))), x2, inc(x2)), INC(x2)) COUNT(node(empty, x1), x2) -> c14(IF(isEmpty(node(empty, x1)), isEmpty(left(node(empty, x1))), right(node(empty, x1)), node(left(left(node(empty, x1))), node(empty, right(node(empty, x1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(z0), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(x0, x1), 0) -> c14(IF(isEmpty(node(x0, x1)), isEmpty(left(node(x0, x1))), right(node(x0, x1)), node(left(left(node(x0, x1))), node(right(x0), right(node(x0, x1)))), 0, s(0))) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(empty, node(right(left(empty)), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(empty), node(right(left(empty)), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, 0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), 0, s(0))) COUNT(node(node(z0, z1), x1), x2) -> c14(IF(isEmpty(node(node(z0, z1), x1)), isEmpty(left(node(node(z0, z1), x1))), right(node(node(z0, z1), x1)), node(z0, node(right(left(node(node(z0, z1), x1))), right(node(node(z0, z1), x1)))), x2, inc(x2)), INC(x2)) COUNT(node(empty, x1), x2) -> c14(IF(isEmpty(node(empty, x1)), isEmpty(left(node(empty, x1))), right(node(empty, x1)), node(empty, node(right(left(node(empty, x1))), right(node(empty, x1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(x0, x1), 0) -> c14(IF(isEmpty(node(x0, x1)), isEmpty(left(node(x0, x1))), right(node(x0, x1)), node(left(x0), node(right(left(node(x0, x1))), right(node(x0, x1)))), 0, s(0))) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(empty), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, 0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), 0, s(0))) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(z0), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(false, isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(x0, x1), 0) -> c14(IF(isEmpty(node(x0, x1)), isEmpty(left(node(x0, x1))), x1, node(left(left(node(x0, x1))), node(right(left(node(x0, x1))), right(node(x0, x1)))), 0, s(0))) COUNT(empty, x0) -> c14(IF(isEmpty(empty), true, right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, 0) -> c14(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), 0, s(0))) COUNT(node(node(z0, z1), x1), x2) -> c14(IF(isEmpty(node(node(z0, z1), x1)), false, right(node(node(z0, z1), x1)), node(left(left(node(node(z0, z1), x1))), node(right(left(node(node(z0, z1), x1))), right(node(node(z0, z1), x1)))), x2, inc(x2)), INC(x2)) COUNT(node(empty, x1), x2) -> c14(IF(isEmpty(node(empty, x1)), true, right(node(empty, x1)), node(left(left(node(empty, x1))), node(right(left(node(empty, x1))), right(node(empty, x1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(false, isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(x0, x1), 0) -> c14(IF(isEmpty(node(x0, x1)), isEmpty(x0), right(node(x0, x1)), node(left(left(node(x0, x1))), node(right(left(node(x0, x1))), right(node(x0, x1)))), 0, s(0))) COUNT(node(x0, x1), 0) -> c14(IF(false, isEmpty(left(node(x0, x1))), right(node(x0, x1)), node(left(left(node(x0, x1))), node(right(left(node(x0, x1))), right(node(x0, x1)))), 0, s(0))) COUNT(empty, 0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), 0, s(0))) COUNT(node(z0, z1), 0) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), 0, s(0))) COUNT(empty, 0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), 0, s(0))) COUNT(node(z0, z1), 0) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), 0, s(0))) COUNT(empty, 0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), 0, s(0))) COUNT(node(z0, z1), 0) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), 0, s(0))) COUNT(empty, 0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), 0, s(0))) COUNT(node(z0, z1), 0) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), 0, s(0))) COUNT(empty, 0) -> c8(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), 0, s(0))) COUNT(node(z0, z1), 0) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), 0, s(0))) COUNT(node(z0, z1), 0) -> c8(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), 0, s(0))) COUNT(x0, s(0)) -> c8(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(0), s(s(0)))) COUNT(x0, s(s(z0))) -> c8(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(s(z0)), s(s(inc(z0))))) COUNT(empty, s(x1)) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), s(x1), s(inc(x1)))) COUNT(node(z0, z1), s(x1)) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), s(x1), s(inc(x1)))) COUNT(empty, s(x1)) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), s(x1), s(inc(x1)))) COUNT(node(z0, z1), s(x1)) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), s(x1), s(inc(x1)))) COUNT(empty, s(x1)) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), s(x1), s(inc(x1)))) COUNT(node(z0, z1), s(x1)) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1)))) COUNT(empty, s(x1)) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), s(x1), s(inc(x1)))) COUNT(node(z0, z1), s(x1)) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1)))) COUNT(empty, s(x1)) -> c8(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), s(x1), s(inc(x1)))) COUNT(node(z0, z1), s(x1)) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1)))) COUNT(node(z0, z1), s(x1)) -> c8(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1)))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), empty)), x0, inc(x0))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), empty)), x0, inc(x0))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), empty)), x0, inc(x0))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x0, inc(x0))) COUNT(node(z0, z1), x2) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), z1)), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), z1)), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c8(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x2, inc(x2))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(empty, right(empty))), x0, inc(x0))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(empty), right(empty))), x0, inc(x0))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(empty), right(empty))), x0, inc(x0))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x0, inc(x0))) COUNT(node(node(z0, z1), x1), x2) -> c8(IF(isEmpty(node(node(z0, z1), x1)), isEmpty(left(node(node(z0, z1), x1))), right(node(node(z0, z1), x1)), node(left(left(node(node(z0, z1), x1))), node(z1, right(node(node(z0, z1), x1)))), x2, inc(x2))) COUNT(node(empty, x1), x2) -> c8(IF(isEmpty(node(empty, x1)), isEmpty(left(node(empty, x1))), right(node(empty, x1)), node(left(left(node(empty, x1))), node(empty, right(node(empty, x1)))), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(z0), right(node(z0, z1)))), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c8(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x2, inc(x2))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(empty, node(right(left(empty)), right(empty))), x0, inc(x0))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(empty), node(right(left(empty)), right(empty))), x0, inc(x0))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x0, inc(x0))) COUNT(node(node(z0, z1), x1), x2) -> c8(IF(isEmpty(node(node(z0, z1), x1)), isEmpty(left(node(node(z0, z1), x1))), right(node(node(z0, z1), x1)), node(z0, node(right(left(node(node(z0, z1), x1))), right(node(node(z0, z1), x1)))), x2, inc(x2))) COUNT(node(empty, x1), x2) -> c8(IF(isEmpty(node(empty, x1)), isEmpty(left(node(empty, x1))), right(node(empty, x1)), node(empty, node(right(left(node(empty, x1))), right(node(empty, x1)))), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c8(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), isEmpty(empty), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x0, inc(x0))) COUNT(node(z0, z1), x2) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(z0), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c8(IF(false, isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), true, right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x0, inc(x0))) COUNT(node(node(z0, z1), x1), x2) -> c8(IF(isEmpty(node(node(z0, z1), x1)), false, right(node(node(z0, z1), x1)), node(left(left(node(node(z0, z1), x1))), node(right(left(node(node(z0, z1), x1))), right(node(node(z0, z1), x1)))), x2, inc(x2))) COUNT(node(empty, x1), x2) -> c8(IF(isEmpty(node(empty, x1)), true, right(node(empty, x1)), node(left(left(node(empty, x1))), node(right(left(node(empty, x1))), right(node(empty, x1)))), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c8(IF(false, isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2))) COUNT(empty, 0) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), 0, s(0))) COUNT(node(z0, z1), 0) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), 0, s(0))) COUNT(empty, 0) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), 0, s(0))) COUNT(node(z0, z1), 0) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), 0, s(0))) COUNT(empty, 0) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), 0, s(0))) COUNT(node(z0, z1), 0) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), 0, s(0))) COUNT(empty, 0) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), 0, s(0))) COUNT(node(z0, z1), 0) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), 0, s(0))) COUNT(empty, 0) -> c9(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), 0, s(0))) COUNT(node(z0, z1), 0) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), 0, s(0))) COUNT(node(z0, z1), 0) -> c9(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), 0, s(0))) COUNT(x0, s(0)) -> c9(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(0), s(s(0)))) COUNT(x0, s(s(z0))) -> c9(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(s(z0)), s(s(inc(z0))))) COUNT(empty, s(x1)) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), s(x1), s(inc(x1)))) COUNT(node(z0, z1), s(x1)) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), s(x1), s(inc(x1)))) COUNT(empty, s(x1)) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), s(x1), s(inc(x1)))) COUNT(node(z0, z1), s(x1)) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), s(x1), s(inc(x1)))) COUNT(empty, s(x1)) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), s(x1), s(inc(x1)))) COUNT(node(z0, z1), s(x1)) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1)))) COUNT(empty, s(x1)) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), s(x1), s(inc(x1)))) COUNT(node(z0, z1), s(x1)) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1)))) COUNT(empty, s(x1)) -> c9(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), s(x1), s(inc(x1)))) COUNT(node(z0, z1), s(x1)) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1)))) COUNT(node(z0, z1), s(x1)) -> c9(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1)))) COUNT(empty, x0) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), empty)), x0, inc(x0))) COUNT(empty, x0) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), empty)), x0, inc(x0))) COUNT(empty, x0) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), empty)), x0, inc(x0))) COUNT(empty, x0) -> c9(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x0, inc(x0))) COUNT(node(z0, z1), x2) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), z1)), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), z1)), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c9(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x2, inc(x2))) COUNT(empty, x0) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(empty, right(empty))), x0, inc(x0))) COUNT(empty, x0) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(empty), right(empty))), x0, inc(x0))) COUNT(empty, x0) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(empty), right(empty))), x0, inc(x0))) COUNT(empty, x0) -> c9(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x0, inc(x0))) COUNT(node(node(z0, z1), x1), x2) -> c9(IF(isEmpty(node(node(z0, z1), x1)), isEmpty(left(node(node(z0, z1), x1))), right(node(node(z0, z1), x1)), node(left(left(node(node(z0, z1), x1))), node(z1, right(node(node(z0, z1), x1)))), x2, inc(x2))) COUNT(node(empty, x1), x2) -> c9(IF(isEmpty(node(empty, x1)), isEmpty(left(node(empty, x1))), right(node(empty, x1)), node(left(left(node(empty, x1))), node(empty, right(node(empty, x1)))), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(z0), right(node(z0, z1)))), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c9(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x2, inc(x2))) COUNT(empty, x0) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(empty, node(right(left(empty)), right(empty))), x0, inc(x0))) COUNT(empty, x0) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(empty), node(right(left(empty)), right(empty))), x0, inc(x0))) COUNT(empty, x0) -> c9(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x0, inc(x0))) COUNT(node(node(z0, z1), x1), x2) -> c9(IF(isEmpty(node(node(z0, z1), x1)), isEmpty(left(node(node(z0, z1), x1))), right(node(node(z0, z1), x1)), node(z0, node(right(left(node(node(z0, z1), x1))), right(node(node(z0, z1), x1)))), x2, inc(x2))) COUNT(node(empty, x1), x2) -> c9(IF(isEmpty(node(empty, x1)), isEmpty(left(node(empty, x1))), right(node(empty, x1)), node(empty, node(right(left(node(empty, x1))), right(node(empty, x1)))), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c9(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2))) COUNT(empty, x0) -> c9(IF(isEmpty(empty), isEmpty(empty), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x0, inc(x0))) COUNT(node(z0, z1), x2) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(z0), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c9(IF(false, isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2))) COUNT(empty, x0) -> c9(IF(isEmpty(empty), true, right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x0, inc(x0))) COUNT(empty, x0) -> c9(IF(true, isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x0, inc(x0))) S tuples: INC(s(z0)) -> c7(INC(z0)) IF(false, false, z0, z1, z2, z3) -> c16(COUNT(z1, z2)) IF(false, true, z0, z1, z2, z3) -> c17(COUNT(z0, z3)) COUNT(node(z0, z1), x1) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c9(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, 0) -> c10(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(x0, s(z0)) -> c10(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0)))) COUNT(empty, x1) -> c10(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1))) COUNT(empty, x1) -> c10(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c10(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c10(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c10(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, 0) -> c11(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(x0, s(z0)) -> c11(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0)))) COUNT(empty, x1) -> c11(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1))) COUNT(empty, x1) -> c11(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c11(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c11(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c11(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, 0) -> c12(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(x0, s(z0)) -> c12(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0)))) COUNT(empty, x1) -> c12(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1))) COUNT(empty, x1) -> c12(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c12(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c12(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c12(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, 0) -> c13(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(x0, s(z0)) -> c13(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0)))) COUNT(empty, x1) -> c13(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1))) COUNT(empty, x1) -> c13(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c13(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c13(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c13(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, s(0)) -> c14(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(0), s(s(0))), INC(s(0))) COUNT(x0, s(s(z0))) -> c14(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(s(z0)), s(s(inc(z0)))), INC(s(s(z0)))) COUNT(empty, s(x1)) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), s(x1), s(inc(x1))), INC(s(x1))) COUNT(empty, s(x1)) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(empty, s(x1)) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(empty, s(x1)) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(empty, s(x1)) -> c14(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), empty)), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), empty)), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), empty)), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x0, inc(x0)), INC(x0)) COUNT(empty, 0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), 0, s(0))) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), z1)), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), z1)), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x2, inc(x2)), INC(x2)) COUNT(node(x0, x1), 0) -> c14(IF(isEmpty(node(x0, x1)), isEmpty(left(node(x0, x1))), right(node(x0, x1)), node(left(left(node(x0, x1))), node(right(left(node(x0, x1))), x1)), 0, s(0))) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(empty, right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(empty), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(empty), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, 0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), 0, s(0))) COUNT(node(node(z0, z1), x1), x2) -> c14(IF(isEmpty(node(node(z0, z1), x1)), isEmpty(left(node(node(z0, z1), x1))), right(node(node(z0, z1), x1)), node(left(left(node(node(z0, z1), x1))), node(z1, right(node(node(z0, z1), x1)))), x2, inc(x2)), INC(x2)) COUNT(node(empty, x1), x2) -> c14(IF(isEmpty(node(empty, x1)), isEmpty(left(node(empty, x1))), right(node(empty, x1)), node(left(left(node(empty, x1))), node(empty, right(node(empty, x1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(z0), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(x0, x1), 0) -> c14(IF(isEmpty(node(x0, x1)), isEmpty(left(node(x0, x1))), right(node(x0, x1)), node(left(left(node(x0, x1))), node(right(x0), right(node(x0, x1)))), 0, s(0))) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(empty, node(right(left(empty)), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(empty), node(right(left(empty)), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, 0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), 0, s(0))) COUNT(node(node(z0, z1), x1), x2) -> c14(IF(isEmpty(node(node(z0, z1), x1)), isEmpty(left(node(node(z0, z1), x1))), right(node(node(z0, z1), x1)), node(z0, node(right(left(node(node(z0, z1), x1))), right(node(node(z0, z1), x1)))), x2, inc(x2)), INC(x2)) COUNT(node(empty, x1), x2) -> c14(IF(isEmpty(node(empty, x1)), isEmpty(left(node(empty, x1))), right(node(empty, x1)), node(empty, node(right(left(node(empty, x1))), right(node(empty, x1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(x0, x1), 0) -> c14(IF(isEmpty(node(x0, x1)), isEmpty(left(node(x0, x1))), right(node(x0, x1)), node(left(x0), node(right(left(node(x0, x1))), right(node(x0, x1)))), 0, s(0))) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(empty), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, 0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), 0, s(0))) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(z0), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(false, isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(x0, x1), 0) -> c14(IF(isEmpty(node(x0, x1)), isEmpty(left(node(x0, x1))), x1, node(left(left(node(x0, x1))), node(right(left(node(x0, x1))), right(node(x0, x1)))), 0, s(0))) COUNT(empty, x0) -> c14(IF(isEmpty(empty), true, right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, 0) -> c14(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), 0, s(0))) COUNT(node(node(z0, z1), x1), x2) -> c14(IF(isEmpty(node(node(z0, z1), x1)), false, right(node(node(z0, z1), x1)), node(left(left(node(node(z0, z1), x1))), node(right(left(node(node(z0, z1), x1))), right(node(node(z0, z1), x1)))), x2, inc(x2)), INC(x2)) COUNT(node(empty, x1), x2) -> c14(IF(isEmpty(node(empty, x1)), true, right(node(empty, x1)), node(left(left(node(empty, x1))), node(right(left(node(empty, x1))), right(node(empty, x1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(false, isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(x0, x1), 0) -> c14(IF(isEmpty(node(x0, x1)), isEmpty(x0), right(node(x0, x1)), node(left(left(node(x0, x1))), node(right(left(node(x0, x1))), right(node(x0, x1)))), 0, s(0))) COUNT(node(x0, x1), 0) -> c14(IF(false, isEmpty(left(node(x0, x1))), right(node(x0, x1)), node(left(left(node(x0, x1))), node(right(left(node(x0, x1))), right(node(x0, x1)))), 0, s(0))) COUNT(empty, 0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), 0, s(0))) COUNT(node(z0, z1), 0) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), 0, s(0))) COUNT(empty, 0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), 0, s(0))) COUNT(node(z0, z1), 0) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), 0, s(0))) COUNT(empty, 0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), 0, s(0))) COUNT(node(z0, z1), 0) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), 0, s(0))) COUNT(empty, 0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), 0, s(0))) COUNT(node(z0, z1), 0) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), 0, s(0))) COUNT(empty, 0) -> c8(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), 0, s(0))) COUNT(node(z0, z1), 0) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), 0, s(0))) COUNT(node(z0, z1), 0) -> c8(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), 0, s(0))) COUNT(x0, s(0)) -> c8(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(0), s(s(0)))) COUNT(x0, s(s(z0))) -> c8(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(s(z0)), s(s(inc(z0))))) COUNT(empty, s(x1)) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), s(x1), s(inc(x1)))) COUNT(node(z0, z1), s(x1)) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), s(x1), s(inc(x1)))) COUNT(empty, s(x1)) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), s(x1), s(inc(x1)))) COUNT(node(z0, z1), s(x1)) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), s(x1), s(inc(x1)))) COUNT(empty, s(x1)) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), s(x1), s(inc(x1)))) COUNT(node(z0, z1), s(x1)) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1)))) COUNT(empty, s(x1)) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), s(x1), s(inc(x1)))) COUNT(node(z0, z1), s(x1)) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1)))) COUNT(empty, s(x1)) -> c8(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), s(x1), s(inc(x1)))) COUNT(node(z0, z1), s(x1)) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1)))) COUNT(node(z0, z1), s(x1)) -> c8(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1)))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), empty)), x0, inc(x0))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), empty)), x0, inc(x0))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), empty)), x0, inc(x0))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x0, inc(x0))) COUNT(node(z0, z1), x2) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), z1)), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), z1)), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c8(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x2, inc(x2))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(empty, right(empty))), x0, inc(x0))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(empty), right(empty))), x0, inc(x0))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(empty), right(empty))), x0, inc(x0))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x0, inc(x0))) COUNT(node(node(z0, z1), x1), x2) -> c8(IF(isEmpty(node(node(z0, z1), x1)), isEmpty(left(node(node(z0, z1), x1))), right(node(node(z0, z1), x1)), node(left(left(node(node(z0, z1), x1))), node(z1, right(node(node(z0, z1), x1)))), x2, inc(x2))) COUNT(node(empty, x1), x2) -> c8(IF(isEmpty(node(empty, x1)), isEmpty(left(node(empty, x1))), right(node(empty, x1)), node(left(left(node(empty, x1))), node(empty, right(node(empty, x1)))), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(z0), right(node(z0, z1)))), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c8(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x2, inc(x2))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(empty, node(right(left(empty)), right(empty))), x0, inc(x0))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(empty), node(right(left(empty)), right(empty))), x0, inc(x0))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x0, inc(x0))) COUNT(node(node(z0, z1), x1), x2) -> c8(IF(isEmpty(node(node(z0, z1), x1)), isEmpty(left(node(node(z0, z1), x1))), right(node(node(z0, z1), x1)), node(z0, node(right(left(node(node(z0, z1), x1))), right(node(node(z0, z1), x1)))), x2, inc(x2))) COUNT(node(empty, x1), x2) -> c8(IF(isEmpty(node(empty, x1)), isEmpty(left(node(empty, x1))), right(node(empty, x1)), node(empty, node(right(left(node(empty, x1))), right(node(empty, x1)))), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c8(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), isEmpty(empty), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x0, inc(x0))) COUNT(node(z0, z1), x2) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(z0), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c8(IF(false, isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), true, right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x0, inc(x0))) COUNT(node(node(z0, z1), x1), x2) -> c8(IF(isEmpty(node(node(z0, z1), x1)), false, right(node(node(z0, z1), x1)), node(left(left(node(node(z0, z1), x1))), node(right(left(node(node(z0, z1), x1))), right(node(node(z0, z1), x1)))), x2, inc(x2))) COUNT(node(empty, x1), x2) -> c8(IF(isEmpty(node(empty, x1)), true, right(node(empty, x1)), node(left(left(node(empty, x1))), node(right(left(node(empty, x1))), right(node(empty, x1)))), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c8(IF(false, isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2))) COUNT(empty, 0) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), 0, s(0))) COUNT(node(z0, z1), 0) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), 0, s(0))) COUNT(empty, 0) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), 0, s(0))) COUNT(node(z0, z1), 0) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), 0, s(0))) COUNT(empty, 0) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), 0, s(0))) COUNT(node(z0, z1), 0) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), 0, s(0))) COUNT(empty, 0) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), 0, s(0))) COUNT(node(z0, z1), 0) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), 0, s(0))) COUNT(empty, 0) -> c9(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), 0, s(0))) COUNT(node(z0, z1), 0) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), 0, s(0))) COUNT(node(z0, z1), 0) -> c9(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), 0, s(0))) COUNT(x0, s(0)) -> c9(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(0), s(s(0)))) COUNT(x0, s(s(z0))) -> c9(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(s(z0)), s(s(inc(z0))))) COUNT(empty, s(x1)) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), s(x1), s(inc(x1)))) COUNT(node(z0, z1), s(x1)) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), s(x1), s(inc(x1)))) COUNT(empty, s(x1)) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), s(x1), s(inc(x1)))) COUNT(node(z0, z1), s(x1)) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), s(x1), s(inc(x1)))) COUNT(empty, s(x1)) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), s(x1), s(inc(x1)))) COUNT(node(z0, z1), s(x1)) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1)))) COUNT(empty, s(x1)) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), s(x1), s(inc(x1)))) COUNT(node(z0, z1), s(x1)) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1)))) COUNT(empty, s(x1)) -> c9(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), s(x1), s(inc(x1)))) COUNT(node(z0, z1), s(x1)) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1)))) COUNT(node(z0, z1), s(x1)) -> c9(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1)))) COUNT(empty, x0) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), empty)), x0, inc(x0))) COUNT(empty, x0) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), empty)), x0, inc(x0))) COUNT(empty, x0) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), empty)), x0, inc(x0))) COUNT(empty, x0) -> c9(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x0, inc(x0))) COUNT(node(z0, z1), x2) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), z1)), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), z1)), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c9(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x2, inc(x2))) COUNT(empty, x0) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(empty, right(empty))), x0, inc(x0))) COUNT(empty, x0) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(empty), right(empty))), x0, inc(x0))) COUNT(empty, x0) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(empty), right(empty))), x0, inc(x0))) COUNT(empty, x0) -> c9(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x0, inc(x0))) COUNT(node(node(z0, z1), x1), x2) -> c9(IF(isEmpty(node(node(z0, z1), x1)), isEmpty(left(node(node(z0, z1), x1))), right(node(node(z0, z1), x1)), node(left(left(node(node(z0, z1), x1))), node(z1, right(node(node(z0, z1), x1)))), x2, inc(x2))) COUNT(node(empty, x1), x2) -> c9(IF(isEmpty(node(empty, x1)), isEmpty(left(node(empty, x1))), right(node(empty, x1)), node(left(left(node(empty, x1))), node(empty, right(node(empty, x1)))), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(z0), right(node(z0, z1)))), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c9(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x2, inc(x2))) COUNT(empty, x0) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(empty, node(right(left(empty)), right(empty))), x0, inc(x0))) COUNT(empty, x0) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(empty), node(right(left(empty)), right(empty))), x0, inc(x0))) COUNT(empty, x0) -> c9(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x0, inc(x0))) COUNT(node(node(z0, z1), x1), x2) -> c9(IF(isEmpty(node(node(z0, z1), x1)), isEmpty(left(node(node(z0, z1), x1))), right(node(node(z0, z1), x1)), node(z0, node(right(left(node(node(z0, z1), x1))), right(node(node(z0, z1), x1)))), x2, inc(x2))) COUNT(node(empty, x1), x2) -> c9(IF(isEmpty(node(empty, x1)), isEmpty(left(node(empty, x1))), right(node(empty, x1)), node(empty, node(right(left(node(empty, x1))), right(node(empty, x1)))), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c9(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2))) COUNT(empty, x0) -> c9(IF(isEmpty(empty), isEmpty(empty), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x0, inc(x0))) COUNT(node(z0, z1), x2) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(z0), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c9(IF(false, isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2))) COUNT(empty, x0) -> c9(IF(isEmpty(empty), true, right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x0, inc(x0))) COUNT(empty, x0) -> c9(IF(true, isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x0, inc(x0))) K tuples: COUNT(empty, x1) -> c14(INC(x1)) COUNT(x0, s(x1)) -> c14(INC(s(x1))) COUNT(empty, s(x1)) -> c14(INC(s(x1))) Defined Rule Symbols: isEmpty_1, left_1, right_1, inc_1 Defined Pair Symbols: INC_1, IF_6, COUNT_2 Compound Symbols: c7_1, c16_1, c17_1, c14_1, c9_1, c10_1, c11_1, c12_1, c13_1, c14_2, c8_1 ---------------------------------------- (231) CdtLeafRemovalProof (BOTH BOUNDS(ID, ID)) Removed 1 trailing nodes: COUNT(empty, x0) -> c9(IF(true, isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x0, inc(x0))) ---------------------------------------- (232) Obligation: Complexity Dependency Tuples Problem Rules: isEmpty(empty) -> true isEmpty(node(z0, z1)) -> false left(empty) -> empty left(node(z0, z1)) -> z0 right(empty) -> empty right(node(z0, z1)) -> z1 inc(0) -> s(0) inc(s(z0)) -> s(inc(z0)) Tuples: INC(s(z0)) -> c7(INC(z0)) IF(false, false, z0, z1, z2, z3) -> c16(COUNT(z1, z2)) IF(false, true, z0, z1, z2, z3) -> c17(COUNT(z0, z3)) COUNT(empty, x1) -> c14(INC(x1)) COUNT(node(z0, z1), x1) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c9(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, 0) -> c10(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(x0, s(z0)) -> c10(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0)))) COUNT(empty, x1) -> c10(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1))) COUNT(empty, x1) -> c10(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c10(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c10(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c10(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, 0) -> c11(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(x0, s(z0)) -> c11(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0)))) COUNT(empty, x1) -> c11(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1))) COUNT(empty, x1) -> c11(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c11(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c11(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c11(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, 0) -> c12(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(x0, s(z0)) -> c12(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0)))) COUNT(empty, x1) -> c12(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1))) COUNT(empty, x1) -> c12(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c12(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c12(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c12(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, 0) -> c13(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(x0, s(z0)) -> c13(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0)))) COUNT(empty, x1) -> c13(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1))) COUNT(empty, x1) -> c13(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c13(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c13(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c13(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, s(0)) -> c14(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(0), s(s(0))), INC(s(0))) COUNT(x0, s(s(z0))) -> c14(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(s(z0)), s(s(inc(z0)))), INC(s(s(z0)))) COUNT(empty, s(x1)) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), s(x1), s(inc(x1))), INC(s(x1))) COUNT(empty, s(x1)) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(empty, s(x1)) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(empty, s(x1)) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(empty, s(x1)) -> c14(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(x0, s(x1)) -> c14(INC(s(x1))) COUNT(empty, s(x1)) -> c14(INC(s(x1))) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), empty)), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), empty)), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), empty)), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x0, inc(x0)), INC(x0)) COUNT(empty, 0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), 0, s(0))) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), z1)), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), z1)), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x2, inc(x2)), INC(x2)) COUNT(node(x0, x1), 0) -> c14(IF(isEmpty(node(x0, x1)), isEmpty(left(node(x0, x1))), right(node(x0, x1)), node(left(left(node(x0, x1))), node(right(left(node(x0, x1))), x1)), 0, s(0))) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(empty, right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(empty), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(empty), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, 0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), 0, s(0))) COUNT(node(node(z0, z1), x1), x2) -> c14(IF(isEmpty(node(node(z0, z1), x1)), isEmpty(left(node(node(z0, z1), x1))), right(node(node(z0, z1), x1)), node(left(left(node(node(z0, z1), x1))), node(z1, right(node(node(z0, z1), x1)))), x2, inc(x2)), INC(x2)) COUNT(node(empty, x1), x2) -> c14(IF(isEmpty(node(empty, x1)), isEmpty(left(node(empty, x1))), right(node(empty, x1)), node(left(left(node(empty, x1))), node(empty, right(node(empty, x1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(z0), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(x0, x1), 0) -> c14(IF(isEmpty(node(x0, x1)), isEmpty(left(node(x0, x1))), right(node(x0, x1)), node(left(left(node(x0, x1))), node(right(x0), right(node(x0, x1)))), 0, s(0))) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(empty, node(right(left(empty)), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(empty), node(right(left(empty)), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, 0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), 0, s(0))) COUNT(node(node(z0, z1), x1), x2) -> c14(IF(isEmpty(node(node(z0, z1), x1)), isEmpty(left(node(node(z0, z1), x1))), right(node(node(z0, z1), x1)), node(z0, node(right(left(node(node(z0, z1), x1))), right(node(node(z0, z1), x1)))), x2, inc(x2)), INC(x2)) COUNT(node(empty, x1), x2) -> c14(IF(isEmpty(node(empty, x1)), isEmpty(left(node(empty, x1))), right(node(empty, x1)), node(empty, node(right(left(node(empty, x1))), right(node(empty, x1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(x0, x1), 0) -> c14(IF(isEmpty(node(x0, x1)), isEmpty(left(node(x0, x1))), right(node(x0, x1)), node(left(x0), node(right(left(node(x0, x1))), right(node(x0, x1)))), 0, s(0))) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(empty), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, 0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), 0, s(0))) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(z0), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(false, isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(x0, x1), 0) -> c14(IF(isEmpty(node(x0, x1)), isEmpty(left(node(x0, x1))), x1, node(left(left(node(x0, x1))), node(right(left(node(x0, x1))), right(node(x0, x1)))), 0, s(0))) COUNT(empty, x0) -> c14(IF(isEmpty(empty), true, right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, 0) -> c14(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), 0, s(0))) COUNT(node(node(z0, z1), x1), x2) -> c14(IF(isEmpty(node(node(z0, z1), x1)), false, right(node(node(z0, z1), x1)), node(left(left(node(node(z0, z1), x1))), node(right(left(node(node(z0, z1), x1))), right(node(node(z0, z1), x1)))), x2, inc(x2)), INC(x2)) COUNT(node(empty, x1), x2) -> c14(IF(isEmpty(node(empty, x1)), true, right(node(empty, x1)), node(left(left(node(empty, x1))), node(right(left(node(empty, x1))), right(node(empty, x1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(false, isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(x0, x1), 0) -> c14(IF(isEmpty(node(x0, x1)), isEmpty(x0), right(node(x0, x1)), node(left(left(node(x0, x1))), node(right(left(node(x0, x1))), right(node(x0, x1)))), 0, s(0))) COUNT(node(x0, x1), 0) -> c14(IF(false, isEmpty(left(node(x0, x1))), right(node(x0, x1)), node(left(left(node(x0, x1))), node(right(left(node(x0, x1))), right(node(x0, x1)))), 0, s(0))) COUNT(empty, 0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), 0, s(0))) COUNT(node(z0, z1), 0) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), 0, s(0))) COUNT(empty, 0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), 0, s(0))) COUNT(node(z0, z1), 0) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), 0, s(0))) COUNT(empty, 0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), 0, s(0))) COUNT(node(z0, z1), 0) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), 0, s(0))) COUNT(empty, 0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), 0, s(0))) COUNT(node(z0, z1), 0) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), 0, s(0))) COUNT(empty, 0) -> c8(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), 0, s(0))) COUNT(node(z0, z1), 0) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), 0, s(0))) COUNT(node(z0, z1), 0) -> c8(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), 0, s(0))) COUNT(x0, s(0)) -> c8(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(0), s(s(0)))) COUNT(x0, s(s(z0))) -> c8(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(s(z0)), s(s(inc(z0))))) COUNT(empty, s(x1)) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), s(x1), s(inc(x1)))) COUNT(node(z0, z1), s(x1)) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), s(x1), s(inc(x1)))) COUNT(empty, s(x1)) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), s(x1), s(inc(x1)))) COUNT(node(z0, z1), s(x1)) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), s(x1), s(inc(x1)))) COUNT(empty, s(x1)) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), s(x1), s(inc(x1)))) COUNT(node(z0, z1), s(x1)) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1)))) COUNT(empty, s(x1)) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), s(x1), s(inc(x1)))) COUNT(node(z0, z1), s(x1)) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1)))) COUNT(empty, s(x1)) -> c8(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), s(x1), s(inc(x1)))) COUNT(node(z0, z1), s(x1)) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1)))) COUNT(node(z0, z1), s(x1)) -> c8(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1)))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), empty)), x0, inc(x0))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), empty)), x0, inc(x0))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), empty)), x0, inc(x0))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x0, inc(x0))) COUNT(node(z0, z1), x2) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), z1)), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), z1)), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c8(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x2, inc(x2))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(empty, right(empty))), x0, inc(x0))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(empty), right(empty))), x0, inc(x0))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(empty), right(empty))), x0, inc(x0))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x0, inc(x0))) COUNT(node(node(z0, z1), x1), x2) -> c8(IF(isEmpty(node(node(z0, z1), x1)), isEmpty(left(node(node(z0, z1), x1))), right(node(node(z0, z1), x1)), node(left(left(node(node(z0, z1), x1))), node(z1, right(node(node(z0, z1), x1)))), x2, inc(x2))) COUNT(node(empty, x1), x2) -> c8(IF(isEmpty(node(empty, x1)), isEmpty(left(node(empty, x1))), right(node(empty, x1)), node(left(left(node(empty, x1))), node(empty, right(node(empty, x1)))), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(z0), right(node(z0, z1)))), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c8(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x2, inc(x2))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(empty, node(right(left(empty)), right(empty))), x0, inc(x0))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(empty), node(right(left(empty)), right(empty))), x0, inc(x0))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x0, inc(x0))) COUNT(node(node(z0, z1), x1), x2) -> c8(IF(isEmpty(node(node(z0, z1), x1)), isEmpty(left(node(node(z0, z1), x1))), right(node(node(z0, z1), x1)), node(z0, node(right(left(node(node(z0, z1), x1))), right(node(node(z0, z1), x1)))), x2, inc(x2))) COUNT(node(empty, x1), x2) -> c8(IF(isEmpty(node(empty, x1)), isEmpty(left(node(empty, x1))), right(node(empty, x1)), node(empty, node(right(left(node(empty, x1))), right(node(empty, x1)))), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c8(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), isEmpty(empty), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x0, inc(x0))) COUNT(node(z0, z1), x2) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(z0), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c8(IF(false, isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), true, right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x0, inc(x0))) COUNT(node(node(z0, z1), x1), x2) -> c8(IF(isEmpty(node(node(z0, z1), x1)), false, right(node(node(z0, z1), x1)), node(left(left(node(node(z0, z1), x1))), node(right(left(node(node(z0, z1), x1))), right(node(node(z0, z1), x1)))), x2, inc(x2))) COUNT(node(empty, x1), x2) -> c8(IF(isEmpty(node(empty, x1)), true, right(node(empty, x1)), node(left(left(node(empty, x1))), node(right(left(node(empty, x1))), right(node(empty, x1)))), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c8(IF(false, isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2))) COUNT(empty, 0) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), 0, s(0))) COUNT(node(z0, z1), 0) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), 0, s(0))) COUNT(empty, 0) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), 0, s(0))) COUNT(node(z0, z1), 0) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), 0, s(0))) COUNT(empty, 0) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), 0, s(0))) COUNT(node(z0, z1), 0) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), 0, s(0))) COUNT(empty, 0) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), 0, s(0))) COUNT(node(z0, z1), 0) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), 0, s(0))) COUNT(empty, 0) -> c9(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), 0, s(0))) COUNT(node(z0, z1), 0) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), 0, s(0))) COUNT(node(z0, z1), 0) -> c9(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), 0, s(0))) COUNT(x0, s(0)) -> c9(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(0), s(s(0)))) COUNT(x0, s(s(z0))) -> c9(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(s(z0)), s(s(inc(z0))))) COUNT(empty, s(x1)) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), s(x1), s(inc(x1)))) COUNT(node(z0, z1), s(x1)) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), s(x1), s(inc(x1)))) COUNT(empty, s(x1)) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), s(x1), s(inc(x1)))) COUNT(node(z0, z1), s(x1)) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), s(x1), s(inc(x1)))) COUNT(empty, s(x1)) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), s(x1), s(inc(x1)))) COUNT(node(z0, z1), s(x1)) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1)))) COUNT(empty, s(x1)) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), s(x1), s(inc(x1)))) COUNT(node(z0, z1), s(x1)) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1)))) COUNT(empty, s(x1)) -> c9(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), s(x1), s(inc(x1)))) COUNT(node(z0, z1), s(x1)) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1)))) COUNT(node(z0, z1), s(x1)) -> c9(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1)))) COUNT(empty, x0) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), empty)), x0, inc(x0))) COUNT(empty, x0) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), empty)), x0, inc(x0))) COUNT(empty, x0) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), empty)), x0, inc(x0))) COUNT(empty, x0) -> c9(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x0, inc(x0))) COUNT(node(z0, z1), x2) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), z1)), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), z1)), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c9(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x2, inc(x2))) COUNT(empty, x0) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(empty, right(empty))), x0, inc(x0))) COUNT(empty, x0) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(empty), right(empty))), x0, inc(x0))) COUNT(empty, x0) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(empty), right(empty))), x0, inc(x0))) COUNT(empty, x0) -> c9(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x0, inc(x0))) COUNT(node(node(z0, z1), x1), x2) -> c9(IF(isEmpty(node(node(z0, z1), x1)), isEmpty(left(node(node(z0, z1), x1))), right(node(node(z0, z1), x1)), node(left(left(node(node(z0, z1), x1))), node(z1, right(node(node(z0, z1), x1)))), x2, inc(x2))) COUNT(node(empty, x1), x2) -> c9(IF(isEmpty(node(empty, x1)), isEmpty(left(node(empty, x1))), right(node(empty, x1)), node(left(left(node(empty, x1))), node(empty, right(node(empty, x1)))), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(z0), right(node(z0, z1)))), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c9(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x2, inc(x2))) COUNT(empty, x0) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(empty, node(right(left(empty)), right(empty))), x0, inc(x0))) COUNT(empty, x0) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(empty), node(right(left(empty)), right(empty))), x0, inc(x0))) COUNT(empty, x0) -> c9(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x0, inc(x0))) COUNT(node(node(z0, z1), x1), x2) -> c9(IF(isEmpty(node(node(z0, z1), x1)), isEmpty(left(node(node(z0, z1), x1))), right(node(node(z0, z1), x1)), node(z0, node(right(left(node(node(z0, z1), x1))), right(node(node(z0, z1), x1)))), x2, inc(x2))) COUNT(node(empty, x1), x2) -> c9(IF(isEmpty(node(empty, x1)), isEmpty(left(node(empty, x1))), right(node(empty, x1)), node(empty, node(right(left(node(empty, x1))), right(node(empty, x1)))), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c9(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2))) COUNT(empty, x0) -> c9(IF(isEmpty(empty), isEmpty(empty), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x0, inc(x0))) COUNT(node(z0, z1), x2) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(z0), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c9(IF(false, isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2))) COUNT(empty, x0) -> c9(IF(isEmpty(empty), true, right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x0, inc(x0))) S tuples: INC(s(z0)) -> c7(INC(z0)) IF(false, false, z0, z1, z2, z3) -> c16(COUNT(z1, z2)) IF(false, true, z0, z1, z2, z3) -> c17(COUNT(z0, z3)) COUNT(node(z0, z1), x1) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c9(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, 0) -> c10(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(x0, s(z0)) -> c10(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0)))) COUNT(empty, x1) -> c10(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1))) COUNT(empty, x1) -> c10(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c10(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c10(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c10(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, 0) -> c11(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(x0, s(z0)) -> c11(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0)))) COUNT(empty, x1) -> c11(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1))) COUNT(empty, x1) -> c11(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c11(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c11(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c11(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, 0) -> c12(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(x0, s(z0)) -> c12(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0)))) COUNT(empty, x1) -> c12(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1))) COUNT(empty, x1) -> c12(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c12(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c12(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c12(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, 0) -> c13(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(x0, s(z0)) -> c13(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0)))) COUNT(empty, x1) -> c13(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1))) COUNT(empty, x1) -> c13(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c13(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c13(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c13(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, s(0)) -> c14(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(0), s(s(0))), INC(s(0))) COUNT(x0, s(s(z0))) -> c14(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(s(z0)), s(s(inc(z0)))), INC(s(s(z0)))) COUNT(empty, s(x1)) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), s(x1), s(inc(x1))), INC(s(x1))) COUNT(empty, s(x1)) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(empty, s(x1)) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(empty, s(x1)) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(empty, s(x1)) -> c14(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), empty)), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), empty)), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), empty)), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x0, inc(x0)), INC(x0)) COUNT(empty, 0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), 0, s(0))) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), z1)), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), z1)), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x2, inc(x2)), INC(x2)) COUNT(node(x0, x1), 0) -> c14(IF(isEmpty(node(x0, x1)), isEmpty(left(node(x0, x1))), right(node(x0, x1)), node(left(left(node(x0, x1))), node(right(left(node(x0, x1))), x1)), 0, s(0))) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(empty, right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(empty), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(empty), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, 0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), 0, s(0))) COUNT(node(node(z0, z1), x1), x2) -> c14(IF(isEmpty(node(node(z0, z1), x1)), isEmpty(left(node(node(z0, z1), x1))), right(node(node(z0, z1), x1)), node(left(left(node(node(z0, z1), x1))), node(z1, right(node(node(z0, z1), x1)))), x2, inc(x2)), INC(x2)) COUNT(node(empty, x1), x2) -> c14(IF(isEmpty(node(empty, x1)), isEmpty(left(node(empty, x1))), right(node(empty, x1)), node(left(left(node(empty, x1))), node(empty, right(node(empty, x1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(z0), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(x0, x1), 0) -> c14(IF(isEmpty(node(x0, x1)), isEmpty(left(node(x0, x1))), right(node(x0, x1)), node(left(left(node(x0, x1))), node(right(x0), right(node(x0, x1)))), 0, s(0))) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(empty, node(right(left(empty)), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(empty), node(right(left(empty)), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, 0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), 0, s(0))) COUNT(node(node(z0, z1), x1), x2) -> c14(IF(isEmpty(node(node(z0, z1), x1)), isEmpty(left(node(node(z0, z1), x1))), right(node(node(z0, z1), x1)), node(z0, node(right(left(node(node(z0, z1), x1))), right(node(node(z0, z1), x1)))), x2, inc(x2)), INC(x2)) COUNT(node(empty, x1), x2) -> c14(IF(isEmpty(node(empty, x1)), isEmpty(left(node(empty, x1))), right(node(empty, x1)), node(empty, node(right(left(node(empty, x1))), right(node(empty, x1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(x0, x1), 0) -> c14(IF(isEmpty(node(x0, x1)), isEmpty(left(node(x0, x1))), right(node(x0, x1)), node(left(x0), node(right(left(node(x0, x1))), right(node(x0, x1)))), 0, s(0))) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(empty), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, 0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), 0, s(0))) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(z0), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(false, isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(x0, x1), 0) -> c14(IF(isEmpty(node(x0, x1)), isEmpty(left(node(x0, x1))), x1, node(left(left(node(x0, x1))), node(right(left(node(x0, x1))), right(node(x0, x1)))), 0, s(0))) COUNT(empty, x0) -> c14(IF(isEmpty(empty), true, right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, 0) -> c14(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), 0, s(0))) COUNT(node(node(z0, z1), x1), x2) -> c14(IF(isEmpty(node(node(z0, z1), x1)), false, right(node(node(z0, z1), x1)), node(left(left(node(node(z0, z1), x1))), node(right(left(node(node(z0, z1), x1))), right(node(node(z0, z1), x1)))), x2, inc(x2)), INC(x2)) COUNT(node(empty, x1), x2) -> c14(IF(isEmpty(node(empty, x1)), true, right(node(empty, x1)), node(left(left(node(empty, x1))), node(right(left(node(empty, x1))), right(node(empty, x1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(false, isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(x0, x1), 0) -> c14(IF(isEmpty(node(x0, x1)), isEmpty(x0), right(node(x0, x1)), node(left(left(node(x0, x1))), node(right(left(node(x0, x1))), right(node(x0, x1)))), 0, s(0))) COUNT(node(x0, x1), 0) -> c14(IF(false, isEmpty(left(node(x0, x1))), right(node(x0, x1)), node(left(left(node(x0, x1))), node(right(left(node(x0, x1))), right(node(x0, x1)))), 0, s(0))) COUNT(empty, 0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), 0, s(0))) COUNT(node(z0, z1), 0) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), 0, s(0))) COUNT(empty, 0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), 0, s(0))) COUNT(node(z0, z1), 0) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), 0, s(0))) COUNT(empty, 0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), 0, s(0))) COUNT(node(z0, z1), 0) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), 0, s(0))) COUNT(empty, 0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), 0, s(0))) COUNT(node(z0, z1), 0) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), 0, s(0))) COUNT(empty, 0) -> c8(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), 0, s(0))) COUNT(node(z0, z1), 0) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), 0, s(0))) COUNT(node(z0, z1), 0) -> c8(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), 0, s(0))) COUNT(x0, s(0)) -> c8(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(0), s(s(0)))) COUNT(x0, s(s(z0))) -> c8(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(s(z0)), s(s(inc(z0))))) COUNT(empty, s(x1)) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), s(x1), s(inc(x1)))) COUNT(node(z0, z1), s(x1)) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), s(x1), s(inc(x1)))) COUNT(empty, s(x1)) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), s(x1), s(inc(x1)))) COUNT(node(z0, z1), s(x1)) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), s(x1), s(inc(x1)))) COUNT(empty, s(x1)) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), s(x1), s(inc(x1)))) COUNT(node(z0, z1), s(x1)) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1)))) COUNT(empty, s(x1)) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), s(x1), s(inc(x1)))) COUNT(node(z0, z1), s(x1)) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1)))) COUNT(empty, s(x1)) -> c8(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), s(x1), s(inc(x1)))) COUNT(node(z0, z1), s(x1)) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1)))) COUNT(node(z0, z1), s(x1)) -> c8(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1)))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), empty)), x0, inc(x0))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), empty)), x0, inc(x0))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), empty)), x0, inc(x0))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x0, inc(x0))) COUNT(node(z0, z1), x2) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), z1)), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), z1)), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c8(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x2, inc(x2))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(empty, right(empty))), x0, inc(x0))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(empty), right(empty))), x0, inc(x0))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(empty), right(empty))), x0, inc(x0))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x0, inc(x0))) COUNT(node(node(z0, z1), x1), x2) -> c8(IF(isEmpty(node(node(z0, z1), x1)), isEmpty(left(node(node(z0, z1), x1))), right(node(node(z0, z1), x1)), node(left(left(node(node(z0, z1), x1))), node(z1, right(node(node(z0, z1), x1)))), x2, inc(x2))) COUNT(node(empty, x1), x2) -> c8(IF(isEmpty(node(empty, x1)), isEmpty(left(node(empty, x1))), right(node(empty, x1)), node(left(left(node(empty, x1))), node(empty, right(node(empty, x1)))), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(z0), right(node(z0, z1)))), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c8(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x2, inc(x2))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(empty, node(right(left(empty)), right(empty))), x0, inc(x0))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(empty), node(right(left(empty)), right(empty))), x0, inc(x0))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x0, inc(x0))) COUNT(node(node(z0, z1), x1), x2) -> c8(IF(isEmpty(node(node(z0, z1), x1)), isEmpty(left(node(node(z0, z1), x1))), right(node(node(z0, z1), x1)), node(z0, node(right(left(node(node(z0, z1), x1))), right(node(node(z0, z1), x1)))), x2, inc(x2))) COUNT(node(empty, x1), x2) -> c8(IF(isEmpty(node(empty, x1)), isEmpty(left(node(empty, x1))), right(node(empty, x1)), node(empty, node(right(left(node(empty, x1))), right(node(empty, x1)))), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c8(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), isEmpty(empty), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x0, inc(x0))) COUNT(node(z0, z1), x2) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(z0), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c8(IF(false, isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), true, right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x0, inc(x0))) COUNT(node(node(z0, z1), x1), x2) -> c8(IF(isEmpty(node(node(z0, z1), x1)), false, right(node(node(z0, z1), x1)), node(left(left(node(node(z0, z1), x1))), node(right(left(node(node(z0, z1), x1))), right(node(node(z0, z1), x1)))), x2, inc(x2))) COUNT(node(empty, x1), x2) -> c8(IF(isEmpty(node(empty, x1)), true, right(node(empty, x1)), node(left(left(node(empty, x1))), node(right(left(node(empty, x1))), right(node(empty, x1)))), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c8(IF(false, isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2))) COUNT(empty, 0) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), 0, s(0))) COUNT(node(z0, z1), 0) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), 0, s(0))) COUNT(empty, 0) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), 0, s(0))) COUNT(node(z0, z1), 0) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), 0, s(0))) COUNT(empty, 0) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), 0, s(0))) COUNT(node(z0, z1), 0) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), 0, s(0))) COUNT(empty, 0) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), 0, s(0))) COUNT(node(z0, z1), 0) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), 0, s(0))) COUNT(empty, 0) -> c9(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), 0, s(0))) COUNT(node(z0, z1), 0) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), 0, s(0))) COUNT(node(z0, z1), 0) -> c9(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), 0, s(0))) COUNT(x0, s(0)) -> c9(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(0), s(s(0)))) COUNT(x0, s(s(z0))) -> c9(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(s(z0)), s(s(inc(z0))))) COUNT(empty, s(x1)) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), s(x1), s(inc(x1)))) COUNT(node(z0, z1), s(x1)) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), s(x1), s(inc(x1)))) COUNT(empty, s(x1)) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), s(x1), s(inc(x1)))) COUNT(node(z0, z1), s(x1)) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), s(x1), s(inc(x1)))) COUNT(empty, s(x1)) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), s(x1), s(inc(x1)))) COUNT(node(z0, z1), s(x1)) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1)))) COUNT(empty, s(x1)) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), s(x1), s(inc(x1)))) COUNT(node(z0, z1), s(x1)) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1)))) COUNT(empty, s(x1)) -> c9(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), s(x1), s(inc(x1)))) COUNT(node(z0, z1), s(x1)) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1)))) COUNT(node(z0, z1), s(x1)) -> c9(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1)))) COUNT(empty, x0) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), empty)), x0, inc(x0))) COUNT(empty, x0) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), empty)), x0, inc(x0))) COUNT(empty, x0) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), empty)), x0, inc(x0))) COUNT(empty, x0) -> c9(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x0, inc(x0))) COUNT(node(z0, z1), x2) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), z1)), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), z1)), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c9(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x2, inc(x2))) COUNT(empty, x0) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(empty, right(empty))), x0, inc(x0))) COUNT(empty, x0) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(empty), right(empty))), x0, inc(x0))) COUNT(empty, x0) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(empty), right(empty))), x0, inc(x0))) COUNT(empty, x0) -> c9(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x0, inc(x0))) COUNT(node(node(z0, z1), x1), x2) -> c9(IF(isEmpty(node(node(z0, z1), x1)), isEmpty(left(node(node(z0, z1), x1))), right(node(node(z0, z1), x1)), node(left(left(node(node(z0, z1), x1))), node(z1, right(node(node(z0, z1), x1)))), x2, inc(x2))) COUNT(node(empty, x1), x2) -> c9(IF(isEmpty(node(empty, x1)), isEmpty(left(node(empty, x1))), right(node(empty, x1)), node(left(left(node(empty, x1))), node(empty, right(node(empty, x1)))), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(z0), right(node(z0, z1)))), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c9(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x2, inc(x2))) COUNT(empty, x0) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(empty, node(right(left(empty)), right(empty))), x0, inc(x0))) COUNT(empty, x0) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(empty), node(right(left(empty)), right(empty))), x0, inc(x0))) COUNT(empty, x0) -> c9(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x0, inc(x0))) COUNT(node(node(z0, z1), x1), x2) -> c9(IF(isEmpty(node(node(z0, z1), x1)), isEmpty(left(node(node(z0, z1), x1))), right(node(node(z0, z1), x1)), node(z0, node(right(left(node(node(z0, z1), x1))), right(node(node(z0, z1), x1)))), x2, inc(x2))) COUNT(node(empty, x1), x2) -> c9(IF(isEmpty(node(empty, x1)), isEmpty(left(node(empty, x1))), right(node(empty, x1)), node(empty, node(right(left(node(empty, x1))), right(node(empty, x1)))), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c9(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2))) COUNT(empty, x0) -> c9(IF(isEmpty(empty), isEmpty(empty), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x0, inc(x0))) COUNT(node(z0, z1), x2) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(z0), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c9(IF(false, isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2))) COUNT(empty, x0) -> c9(IF(isEmpty(empty), true, right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x0, inc(x0))) K tuples: COUNT(empty, x1) -> c14(INC(x1)) COUNT(x0, s(x1)) -> c14(INC(s(x1))) COUNT(empty, s(x1)) -> c14(INC(s(x1))) Defined Rule Symbols: isEmpty_1, left_1, right_1, inc_1 Defined Pair Symbols: INC_1, IF_6, COUNT_2 Compound Symbols: c7_1, c16_1, c17_1, c14_1, c9_1, c10_1, c11_1, c12_1, c13_1, c14_2, c8_1 ---------------------------------------- (233) CdtNarrowingProof (BOTH BOUNDS(ID, ID)) Use narrowing to replace COUNT(node(z0, z1), x1) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) by COUNT(node(x0, x1), 0) -> c9(IF(isEmpty(node(x0, x1)), isEmpty(x0), right(node(x0, x1)), node(left(left(node(x0, x1))), node(right(left(node(x0, x1))), right(node(x0, x1)))), 0, s(0))) COUNT(node(x0, x1), s(z0)) -> c9(IF(isEmpty(node(x0, x1)), isEmpty(x0), right(node(x0, x1)), node(left(left(node(x0, x1))), node(right(left(node(x0, x1))), right(node(x0, x1)))), s(z0), s(inc(z0)))) COUNT(node(z0, z1), x2) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(z0), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2))) COUNT(node(node(z0, z1), x1), x2) -> c9(IF(isEmpty(node(node(z0, z1), x1)), false, right(node(node(z0, z1), x1)), node(left(left(node(node(z0, z1), x1))), node(right(left(node(node(z0, z1), x1))), right(node(node(z0, z1), x1)))), x2, inc(x2))) COUNT(node(empty, x1), x2) -> c9(IF(isEmpty(node(empty, x1)), true, right(node(empty, x1)), node(left(left(node(empty, x1))), node(right(left(node(empty, x1))), right(node(empty, x1)))), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c9(IF(false, isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2))) ---------------------------------------- (234) Obligation: Complexity Dependency Tuples Problem Rules: isEmpty(empty) -> true isEmpty(node(z0, z1)) -> false left(empty) -> empty left(node(z0, z1)) -> z0 right(empty) -> empty right(node(z0, z1)) -> z1 inc(0) -> s(0) inc(s(z0)) -> s(inc(z0)) Tuples: INC(s(z0)) -> c7(INC(z0)) IF(false, false, z0, z1, z2, z3) -> c16(COUNT(z1, z2)) IF(false, true, z0, z1, z2, z3) -> c17(COUNT(z0, z3)) COUNT(empty, x1) -> c14(INC(x1)) COUNT(node(z0, z1), x1) -> c9(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, 0) -> c10(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(x0, s(z0)) -> c10(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0)))) COUNT(empty, x1) -> c10(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1))) COUNT(empty, x1) -> c10(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c10(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c10(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c10(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, 0) -> c11(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(x0, s(z0)) -> c11(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0)))) COUNT(empty, x1) -> c11(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1))) COUNT(empty, x1) -> c11(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c11(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c11(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c11(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, 0) -> c12(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(x0, s(z0)) -> c12(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0)))) COUNT(empty, x1) -> c12(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1))) COUNT(empty, x1) -> c12(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c12(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c12(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c12(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, 0) -> c13(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(x0, s(z0)) -> c13(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0)))) COUNT(empty, x1) -> c13(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1))) COUNT(empty, x1) -> c13(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c13(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c13(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c13(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, s(0)) -> c14(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(0), s(s(0))), INC(s(0))) COUNT(x0, s(s(z0))) -> c14(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(s(z0)), s(s(inc(z0)))), INC(s(s(z0)))) COUNT(empty, s(x1)) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), s(x1), s(inc(x1))), INC(s(x1))) COUNT(empty, s(x1)) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(empty, s(x1)) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(empty, s(x1)) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(empty, s(x1)) -> c14(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(x0, s(x1)) -> c14(INC(s(x1))) COUNT(empty, s(x1)) -> c14(INC(s(x1))) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), empty)), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), empty)), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), empty)), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x0, inc(x0)), INC(x0)) COUNT(empty, 0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), 0, s(0))) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), z1)), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), z1)), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x2, inc(x2)), INC(x2)) COUNT(node(x0, x1), 0) -> c14(IF(isEmpty(node(x0, x1)), isEmpty(left(node(x0, x1))), right(node(x0, x1)), node(left(left(node(x0, x1))), node(right(left(node(x0, x1))), x1)), 0, s(0))) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(empty, right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(empty), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(empty), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, 0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), 0, s(0))) COUNT(node(node(z0, z1), x1), x2) -> c14(IF(isEmpty(node(node(z0, z1), x1)), isEmpty(left(node(node(z0, z1), x1))), right(node(node(z0, z1), x1)), node(left(left(node(node(z0, z1), x1))), node(z1, right(node(node(z0, z1), x1)))), x2, inc(x2)), INC(x2)) COUNT(node(empty, x1), x2) -> c14(IF(isEmpty(node(empty, x1)), isEmpty(left(node(empty, x1))), right(node(empty, x1)), node(left(left(node(empty, x1))), node(empty, right(node(empty, x1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(z0), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(x0, x1), 0) -> c14(IF(isEmpty(node(x0, x1)), isEmpty(left(node(x0, x1))), right(node(x0, x1)), node(left(left(node(x0, x1))), node(right(x0), right(node(x0, x1)))), 0, s(0))) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(empty, node(right(left(empty)), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(empty), node(right(left(empty)), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, 0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), 0, s(0))) COUNT(node(node(z0, z1), x1), x2) -> c14(IF(isEmpty(node(node(z0, z1), x1)), isEmpty(left(node(node(z0, z1), x1))), right(node(node(z0, z1), x1)), node(z0, node(right(left(node(node(z0, z1), x1))), right(node(node(z0, z1), x1)))), x2, inc(x2)), INC(x2)) COUNT(node(empty, x1), x2) -> c14(IF(isEmpty(node(empty, x1)), isEmpty(left(node(empty, x1))), right(node(empty, x1)), node(empty, node(right(left(node(empty, x1))), right(node(empty, x1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(x0, x1), 0) -> c14(IF(isEmpty(node(x0, x1)), isEmpty(left(node(x0, x1))), right(node(x0, x1)), node(left(x0), node(right(left(node(x0, x1))), right(node(x0, x1)))), 0, s(0))) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(empty), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, 0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), 0, s(0))) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(z0), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(false, isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(x0, x1), 0) -> c14(IF(isEmpty(node(x0, x1)), isEmpty(left(node(x0, x1))), x1, node(left(left(node(x0, x1))), node(right(left(node(x0, x1))), right(node(x0, x1)))), 0, s(0))) COUNT(empty, x0) -> c14(IF(isEmpty(empty), true, right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, 0) -> c14(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), 0, s(0))) COUNT(node(node(z0, z1), x1), x2) -> c14(IF(isEmpty(node(node(z0, z1), x1)), false, right(node(node(z0, z1), x1)), node(left(left(node(node(z0, z1), x1))), node(right(left(node(node(z0, z1), x1))), right(node(node(z0, z1), x1)))), x2, inc(x2)), INC(x2)) COUNT(node(empty, x1), x2) -> c14(IF(isEmpty(node(empty, x1)), true, right(node(empty, x1)), node(left(left(node(empty, x1))), node(right(left(node(empty, x1))), right(node(empty, x1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(false, isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(x0, x1), 0) -> c14(IF(isEmpty(node(x0, x1)), isEmpty(x0), right(node(x0, x1)), node(left(left(node(x0, x1))), node(right(left(node(x0, x1))), right(node(x0, x1)))), 0, s(0))) COUNT(node(x0, x1), 0) -> c14(IF(false, isEmpty(left(node(x0, x1))), right(node(x0, x1)), node(left(left(node(x0, x1))), node(right(left(node(x0, x1))), right(node(x0, x1)))), 0, s(0))) COUNT(empty, 0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), 0, s(0))) COUNT(node(z0, z1), 0) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), 0, s(0))) COUNT(empty, 0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), 0, s(0))) COUNT(node(z0, z1), 0) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), 0, s(0))) COUNT(empty, 0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), 0, s(0))) COUNT(node(z0, z1), 0) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), 0, s(0))) COUNT(empty, 0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), 0, s(0))) COUNT(node(z0, z1), 0) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), 0, s(0))) COUNT(empty, 0) -> c8(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), 0, s(0))) COUNT(node(z0, z1), 0) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), 0, s(0))) COUNT(node(z0, z1), 0) -> c8(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), 0, s(0))) COUNT(x0, s(0)) -> c8(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(0), s(s(0)))) COUNT(x0, s(s(z0))) -> c8(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(s(z0)), s(s(inc(z0))))) COUNT(empty, s(x1)) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), s(x1), s(inc(x1)))) COUNT(node(z0, z1), s(x1)) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), s(x1), s(inc(x1)))) COUNT(empty, s(x1)) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), s(x1), s(inc(x1)))) COUNT(node(z0, z1), s(x1)) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), s(x1), s(inc(x1)))) COUNT(empty, s(x1)) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), s(x1), s(inc(x1)))) COUNT(node(z0, z1), s(x1)) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1)))) COUNT(empty, s(x1)) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), s(x1), s(inc(x1)))) COUNT(node(z0, z1), s(x1)) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1)))) COUNT(empty, s(x1)) -> c8(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), s(x1), s(inc(x1)))) COUNT(node(z0, z1), s(x1)) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1)))) COUNT(node(z0, z1), s(x1)) -> c8(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1)))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), empty)), x0, inc(x0))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), empty)), x0, inc(x0))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), empty)), x0, inc(x0))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x0, inc(x0))) COUNT(node(z0, z1), x2) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), z1)), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), z1)), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c8(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x2, inc(x2))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(empty, right(empty))), x0, inc(x0))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(empty), right(empty))), x0, inc(x0))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(empty), right(empty))), x0, inc(x0))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x0, inc(x0))) COUNT(node(node(z0, z1), x1), x2) -> c8(IF(isEmpty(node(node(z0, z1), x1)), isEmpty(left(node(node(z0, z1), x1))), right(node(node(z0, z1), x1)), node(left(left(node(node(z0, z1), x1))), node(z1, right(node(node(z0, z1), x1)))), x2, inc(x2))) COUNT(node(empty, x1), x2) -> c8(IF(isEmpty(node(empty, x1)), isEmpty(left(node(empty, x1))), right(node(empty, x1)), node(left(left(node(empty, x1))), node(empty, right(node(empty, x1)))), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(z0), right(node(z0, z1)))), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c8(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x2, inc(x2))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(empty, node(right(left(empty)), right(empty))), x0, inc(x0))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(empty), node(right(left(empty)), right(empty))), x0, inc(x0))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x0, inc(x0))) COUNT(node(node(z0, z1), x1), x2) -> c8(IF(isEmpty(node(node(z0, z1), x1)), isEmpty(left(node(node(z0, z1), x1))), right(node(node(z0, z1), x1)), node(z0, node(right(left(node(node(z0, z1), x1))), right(node(node(z0, z1), x1)))), x2, inc(x2))) COUNT(node(empty, x1), x2) -> c8(IF(isEmpty(node(empty, x1)), isEmpty(left(node(empty, x1))), right(node(empty, x1)), node(empty, node(right(left(node(empty, x1))), right(node(empty, x1)))), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c8(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), isEmpty(empty), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x0, inc(x0))) COUNT(node(z0, z1), x2) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(z0), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c8(IF(false, isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), true, right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x0, inc(x0))) COUNT(node(node(z0, z1), x1), x2) -> c8(IF(isEmpty(node(node(z0, z1), x1)), false, right(node(node(z0, z1), x1)), node(left(left(node(node(z0, z1), x1))), node(right(left(node(node(z0, z1), x1))), right(node(node(z0, z1), x1)))), x2, inc(x2))) COUNT(node(empty, x1), x2) -> c8(IF(isEmpty(node(empty, x1)), true, right(node(empty, x1)), node(left(left(node(empty, x1))), node(right(left(node(empty, x1))), right(node(empty, x1)))), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c8(IF(false, isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2))) COUNT(empty, 0) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), 0, s(0))) COUNT(node(z0, z1), 0) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), 0, s(0))) COUNT(empty, 0) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), 0, s(0))) COUNT(node(z0, z1), 0) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), 0, s(0))) COUNT(empty, 0) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), 0, s(0))) COUNT(node(z0, z1), 0) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), 0, s(0))) COUNT(empty, 0) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), 0, s(0))) COUNT(node(z0, z1), 0) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), 0, s(0))) COUNT(empty, 0) -> c9(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), 0, s(0))) COUNT(node(z0, z1), 0) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), 0, s(0))) COUNT(node(z0, z1), 0) -> c9(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), 0, s(0))) COUNT(x0, s(0)) -> c9(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(0), s(s(0)))) COUNT(x0, s(s(z0))) -> c9(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(s(z0)), s(s(inc(z0))))) COUNT(empty, s(x1)) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), s(x1), s(inc(x1)))) COUNT(node(z0, z1), s(x1)) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), s(x1), s(inc(x1)))) COUNT(empty, s(x1)) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), s(x1), s(inc(x1)))) COUNT(node(z0, z1), s(x1)) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), s(x1), s(inc(x1)))) COUNT(empty, s(x1)) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), s(x1), s(inc(x1)))) COUNT(node(z0, z1), s(x1)) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1)))) COUNT(empty, s(x1)) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), s(x1), s(inc(x1)))) COUNT(node(z0, z1), s(x1)) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1)))) COUNT(empty, s(x1)) -> c9(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), s(x1), s(inc(x1)))) COUNT(node(z0, z1), s(x1)) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1)))) COUNT(node(z0, z1), s(x1)) -> c9(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1)))) COUNT(empty, x0) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), empty)), x0, inc(x0))) COUNT(empty, x0) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), empty)), x0, inc(x0))) COUNT(empty, x0) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), empty)), x0, inc(x0))) COUNT(empty, x0) -> c9(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x0, inc(x0))) COUNT(node(z0, z1), x2) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), z1)), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), z1)), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c9(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x2, inc(x2))) COUNT(empty, x0) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(empty, right(empty))), x0, inc(x0))) COUNT(empty, x0) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(empty), right(empty))), x0, inc(x0))) COUNT(empty, x0) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(empty), right(empty))), x0, inc(x0))) COUNT(empty, x0) -> c9(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x0, inc(x0))) COUNT(node(node(z0, z1), x1), x2) -> c9(IF(isEmpty(node(node(z0, z1), x1)), isEmpty(left(node(node(z0, z1), x1))), right(node(node(z0, z1), x1)), node(left(left(node(node(z0, z1), x1))), node(z1, right(node(node(z0, z1), x1)))), x2, inc(x2))) COUNT(node(empty, x1), x2) -> c9(IF(isEmpty(node(empty, x1)), isEmpty(left(node(empty, x1))), right(node(empty, x1)), node(left(left(node(empty, x1))), node(empty, right(node(empty, x1)))), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(z0), right(node(z0, z1)))), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c9(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x2, inc(x2))) COUNT(empty, x0) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(empty, node(right(left(empty)), right(empty))), x0, inc(x0))) COUNT(empty, x0) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(empty), node(right(left(empty)), right(empty))), x0, inc(x0))) COUNT(empty, x0) -> c9(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x0, inc(x0))) COUNT(node(node(z0, z1), x1), x2) -> c9(IF(isEmpty(node(node(z0, z1), x1)), isEmpty(left(node(node(z0, z1), x1))), right(node(node(z0, z1), x1)), node(z0, node(right(left(node(node(z0, z1), x1))), right(node(node(z0, z1), x1)))), x2, inc(x2))) COUNT(node(empty, x1), x2) -> c9(IF(isEmpty(node(empty, x1)), isEmpty(left(node(empty, x1))), right(node(empty, x1)), node(empty, node(right(left(node(empty, x1))), right(node(empty, x1)))), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c9(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2))) COUNT(empty, x0) -> c9(IF(isEmpty(empty), isEmpty(empty), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x0, inc(x0))) COUNT(node(z0, z1), x2) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(z0), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c9(IF(false, isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2))) COUNT(empty, x0) -> c9(IF(isEmpty(empty), true, right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x0, inc(x0))) COUNT(node(node(z0, z1), x1), x2) -> c9(IF(isEmpty(node(node(z0, z1), x1)), false, right(node(node(z0, z1), x1)), node(left(left(node(node(z0, z1), x1))), node(right(left(node(node(z0, z1), x1))), right(node(node(z0, z1), x1)))), x2, inc(x2))) COUNT(node(empty, x1), x2) -> c9(IF(isEmpty(node(empty, x1)), true, right(node(empty, x1)), node(left(left(node(empty, x1))), node(right(left(node(empty, x1))), right(node(empty, x1)))), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c9(IF(false, isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2))) S tuples: INC(s(z0)) -> c7(INC(z0)) IF(false, false, z0, z1, z2, z3) -> c16(COUNT(z1, z2)) IF(false, true, z0, z1, z2, z3) -> c17(COUNT(z0, z3)) COUNT(node(z0, z1), x1) -> c9(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, 0) -> c10(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(x0, s(z0)) -> c10(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0)))) COUNT(empty, x1) -> c10(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1))) COUNT(empty, x1) -> c10(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c10(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c10(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c10(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, 0) -> c11(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(x0, s(z0)) -> c11(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0)))) COUNT(empty, x1) -> c11(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1))) COUNT(empty, x1) -> c11(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c11(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c11(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c11(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, 0) -> c12(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(x0, s(z0)) -> c12(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0)))) COUNT(empty, x1) -> c12(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1))) COUNT(empty, x1) -> c12(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c12(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c12(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c12(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, 0) -> c13(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(x0, s(z0)) -> c13(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0)))) COUNT(empty, x1) -> c13(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1))) COUNT(empty, x1) -> c13(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c13(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c13(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c13(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, s(0)) -> c14(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(0), s(s(0))), INC(s(0))) COUNT(x0, s(s(z0))) -> c14(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(s(z0)), s(s(inc(z0)))), INC(s(s(z0)))) COUNT(empty, s(x1)) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), s(x1), s(inc(x1))), INC(s(x1))) COUNT(empty, s(x1)) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(empty, s(x1)) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(empty, s(x1)) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(empty, s(x1)) -> c14(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), empty)), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), empty)), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), empty)), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x0, inc(x0)), INC(x0)) COUNT(empty, 0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), 0, s(0))) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), z1)), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), z1)), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x2, inc(x2)), INC(x2)) COUNT(node(x0, x1), 0) -> c14(IF(isEmpty(node(x0, x1)), isEmpty(left(node(x0, x1))), right(node(x0, x1)), node(left(left(node(x0, x1))), node(right(left(node(x0, x1))), x1)), 0, s(0))) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(empty, right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(empty), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(empty), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, 0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), 0, s(0))) COUNT(node(node(z0, z1), x1), x2) -> c14(IF(isEmpty(node(node(z0, z1), x1)), isEmpty(left(node(node(z0, z1), x1))), right(node(node(z0, z1), x1)), node(left(left(node(node(z0, z1), x1))), node(z1, right(node(node(z0, z1), x1)))), x2, inc(x2)), INC(x2)) COUNT(node(empty, x1), x2) -> c14(IF(isEmpty(node(empty, x1)), isEmpty(left(node(empty, x1))), right(node(empty, x1)), node(left(left(node(empty, x1))), node(empty, right(node(empty, x1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(z0), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(x0, x1), 0) -> c14(IF(isEmpty(node(x0, x1)), isEmpty(left(node(x0, x1))), right(node(x0, x1)), node(left(left(node(x0, x1))), node(right(x0), right(node(x0, x1)))), 0, s(0))) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(empty, node(right(left(empty)), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(empty), node(right(left(empty)), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, 0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), 0, s(0))) COUNT(node(node(z0, z1), x1), x2) -> c14(IF(isEmpty(node(node(z0, z1), x1)), isEmpty(left(node(node(z0, z1), x1))), right(node(node(z0, z1), x1)), node(z0, node(right(left(node(node(z0, z1), x1))), right(node(node(z0, z1), x1)))), x2, inc(x2)), INC(x2)) COUNT(node(empty, x1), x2) -> c14(IF(isEmpty(node(empty, x1)), isEmpty(left(node(empty, x1))), right(node(empty, x1)), node(empty, node(right(left(node(empty, x1))), right(node(empty, x1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(x0, x1), 0) -> c14(IF(isEmpty(node(x0, x1)), isEmpty(left(node(x0, x1))), right(node(x0, x1)), node(left(x0), node(right(left(node(x0, x1))), right(node(x0, x1)))), 0, s(0))) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(empty), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, 0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), 0, s(0))) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(z0), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(false, isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(x0, x1), 0) -> c14(IF(isEmpty(node(x0, x1)), isEmpty(left(node(x0, x1))), x1, node(left(left(node(x0, x1))), node(right(left(node(x0, x1))), right(node(x0, x1)))), 0, s(0))) COUNT(empty, x0) -> c14(IF(isEmpty(empty), true, right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, 0) -> c14(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), 0, s(0))) COUNT(node(node(z0, z1), x1), x2) -> c14(IF(isEmpty(node(node(z0, z1), x1)), false, right(node(node(z0, z1), x1)), node(left(left(node(node(z0, z1), x1))), node(right(left(node(node(z0, z1), x1))), right(node(node(z0, z1), x1)))), x2, inc(x2)), INC(x2)) COUNT(node(empty, x1), x2) -> c14(IF(isEmpty(node(empty, x1)), true, right(node(empty, x1)), node(left(left(node(empty, x1))), node(right(left(node(empty, x1))), right(node(empty, x1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(false, isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(x0, x1), 0) -> c14(IF(isEmpty(node(x0, x1)), isEmpty(x0), right(node(x0, x1)), node(left(left(node(x0, x1))), node(right(left(node(x0, x1))), right(node(x0, x1)))), 0, s(0))) COUNT(node(x0, x1), 0) -> c14(IF(false, isEmpty(left(node(x0, x1))), right(node(x0, x1)), node(left(left(node(x0, x1))), node(right(left(node(x0, x1))), right(node(x0, x1)))), 0, s(0))) COUNT(empty, 0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), 0, s(0))) COUNT(node(z0, z1), 0) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), 0, s(0))) COUNT(empty, 0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), 0, s(0))) COUNT(node(z0, z1), 0) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), 0, s(0))) COUNT(empty, 0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), 0, s(0))) COUNT(node(z0, z1), 0) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), 0, s(0))) COUNT(empty, 0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), 0, s(0))) COUNT(node(z0, z1), 0) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), 0, s(0))) COUNT(empty, 0) -> c8(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), 0, s(0))) COUNT(node(z0, z1), 0) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), 0, s(0))) COUNT(node(z0, z1), 0) -> c8(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), 0, s(0))) COUNT(x0, s(0)) -> c8(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(0), s(s(0)))) COUNT(x0, s(s(z0))) -> c8(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(s(z0)), s(s(inc(z0))))) COUNT(empty, s(x1)) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), s(x1), s(inc(x1)))) COUNT(node(z0, z1), s(x1)) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), s(x1), s(inc(x1)))) COUNT(empty, s(x1)) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), s(x1), s(inc(x1)))) COUNT(node(z0, z1), s(x1)) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), s(x1), s(inc(x1)))) COUNT(empty, s(x1)) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), s(x1), s(inc(x1)))) COUNT(node(z0, z1), s(x1)) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1)))) COUNT(empty, s(x1)) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), s(x1), s(inc(x1)))) COUNT(node(z0, z1), s(x1)) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1)))) COUNT(empty, s(x1)) -> c8(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), s(x1), s(inc(x1)))) COUNT(node(z0, z1), s(x1)) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1)))) COUNT(node(z0, z1), s(x1)) -> c8(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1)))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), empty)), x0, inc(x0))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), empty)), x0, inc(x0))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), empty)), x0, inc(x0))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x0, inc(x0))) COUNT(node(z0, z1), x2) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), z1)), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), z1)), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c8(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x2, inc(x2))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(empty, right(empty))), x0, inc(x0))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(empty), right(empty))), x0, inc(x0))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(empty), right(empty))), x0, inc(x0))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x0, inc(x0))) COUNT(node(node(z0, z1), x1), x2) -> c8(IF(isEmpty(node(node(z0, z1), x1)), isEmpty(left(node(node(z0, z1), x1))), right(node(node(z0, z1), x1)), node(left(left(node(node(z0, z1), x1))), node(z1, right(node(node(z0, z1), x1)))), x2, inc(x2))) COUNT(node(empty, x1), x2) -> c8(IF(isEmpty(node(empty, x1)), isEmpty(left(node(empty, x1))), right(node(empty, x1)), node(left(left(node(empty, x1))), node(empty, right(node(empty, x1)))), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(z0), right(node(z0, z1)))), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c8(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x2, inc(x2))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(empty, node(right(left(empty)), right(empty))), x0, inc(x0))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(empty), node(right(left(empty)), right(empty))), x0, inc(x0))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x0, inc(x0))) COUNT(node(node(z0, z1), x1), x2) -> c8(IF(isEmpty(node(node(z0, z1), x1)), isEmpty(left(node(node(z0, z1), x1))), right(node(node(z0, z1), x1)), node(z0, node(right(left(node(node(z0, z1), x1))), right(node(node(z0, z1), x1)))), x2, inc(x2))) COUNT(node(empty, x1), x2) -> c8(IF(isEmpty(node(empty, x1)), isEmpty(left(node(empty, x1))), right(node(empty, x1)), node(empty, node(right(left(node(empty, x1))), right(node(empty, x1)))), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c8(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), isEmpty(empty), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x0, inc(x0))) COUNT(node(z0, z1), x2) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(z0), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c8(IF(false, isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), true, right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x0, inc(x0))) COUNT(node(node(z0, z1), x1), x2) -> c8(IF(isEmpty(node(node(z0, z1), x1)), false, right(node(node(z0, z1), x1)), node(left(left(node(node(z0, z1), x1))), node(right(left(node(node(z0, z1), x1))), right(node(node(z0, z1), x1)))), x2, inc(x2))) COUNT(node(empty, x1), x2) -> c8(IF(isEmpty(node(empty, x1)), true, right(node(empty, x1)), node(left(left(node(empty, x1))), node(right(left(node(empty, x1))), right(node(empty, x1)))), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c8(IF(false, isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2))) COUNT(empty, 0) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), 0, s(0))) COUNT(node(z0, z1), 0) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), 0, s(0))) COUNT(empty, 0) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), 0, s(0))) COUNT(node(z0, z1), 0) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), 0, s(0))) COUNT(empty, 0) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), 0, s(0))) COUNT(node(z0, z1), 0) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), 0, s(0))) COUNT(empty, 0) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), 0, s(0))) COUNT(node(z0, z1), 0) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), 0, s(0))) COUNT(empty, 0) -> c9(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), 0, s(0))) COUNT(node(z0, z1), 0) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), 0, s(0))) COUNT(node(z0, z1), 0) -> c9(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), 0, s(0))) COUNT(x0, s(0)) -> c9(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(0), s(s(0)))) COUNT(x0, s(s(z0))) -> c9(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(s(z0)), s(s(inc(z0))))) COUNT(empty, s(x1)) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), s(x1), s(inc(x1)))) COUNT(node(z0, z1), s(x1)) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), s(x1), s(inc(x1)))) COUNT(empty, s(x1)) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), s(x1), s(inc(x1)))) COUNT(node(z0, z1), s(x1)) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), s(x1), s(inc(x1)))) COUNT(empty, s(x1)) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), s(x1), s(inc(x1)))) COUNT(node(z0, z1), s(x1)) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1)))) COUNT(empty, s(x1)) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), s(x1), s(inc(x1)))) COUNT(node(z0, z1), s(x1)) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1)))) COUNT(empty, s(x1)) -> c9(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), s(x1), s(inc(x1)))) COUNT(node(z0, z1), s(x1)) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1)))) COUNT(node(z0, z1), s(x1)) -> c9(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1)))) COUNT(empty, x0) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), empty)), x0, inc(x0))) COUNT(empty, x0) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), empty)), x0, inc(x0))) COUNT(empty, x0) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), empty)), x0, inc(x0))) COUNT(empty, x0) -> c9(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x0, inc(x0))) COUNT(node(z0, z1), x2) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), z1)), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), z1)), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c9(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x2, inc(x2))) COUNT(empty, x0) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(empty, right(empty))), x0, inc(x0))) COUNT(empty, x0) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(empty), right(empty))), x0, inc(x0))) COUNT(empty, x0) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(empty), right(empty))), x0, inc(x0))) COUNT(empty, x0) -> c9(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x0, inc(x0))) COUNT(node(node(z0, z1), x1), x2) -> c9(IF(isEmpty(node(node(z0, z1), x1)), isEmpty(left(node(node(z0, z1), x1))), right(node(node(z0, z1), x1)), node(left(left(node(node(z0, z1), x1))), node(z1, right(node(node(z0, z1), x1)))), x2, inc(x2))) COUNT(node(empty, x1), x2) -> c9(IF(isEmpty(node(empty, x1)), isEmpty(left(node(empty, x1))), right(node(empty, x1)), node(left(left(node(empty, x1))), node(empty, right(node(empty, x1)))), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(z0), right(node(z0, z1)))), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c9(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x2, inc(x2))) COUNT(empty, x0) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(empty, node(right(left(empty)), right(empty))), x0, inc(x0))) COUNT(empty, x0) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(empty), node(right(left(empty)), right(empty))), x0, inc(x0))) COUNT(empty, x0) -> c9(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x0, inc(x0))) COUNT(node(node(z0, z1), x1), x2) -> c9(IF(isEmpty(node(node(z0, z1), x1)), isEmpty(left(node(node(z0, z1), x1))), right(node(node(z0, z1), x1)), node(z0, node(right(left(node(node(z0, z1), x1))), right(node(node(z0, z1), x1)))), x2, inc(x2))) COUNT(node(empty, x1), x2) -> c9(IF(isEmpty(node(empty, x1)), isEmpty(left(node(empty, x1))), right(node(empty, x1)), node(empty, node(right(left(node(empty, x1))), right(node(empty, x1)))), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c9(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2))) COUNT(empty, x0) -> c9(IF(isEmpty(empty), isEmpty(empty), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x0, inc(x0))) COUNT(node(z0, z1), x2) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(z0), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c9(IF(false, isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2))) COUNT(empty, x0) -> c9(IF(isEmpty(empty), true, right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x0, inc(x0))) COUNT(node(node(z0, z1), x1), x2) -> c9(IF(isEmpty(node(node(z0, z1), x1)), false, right(node(node(z0, z1), x1)), node(left(left(node(node(z0, z1), x1))), node(right(left(node(node(z0, z1), x1))), right(node(node(z0, z1), x1)))), x2, inc(x2))) COUNT(node(empty, x1), x2) -> c9(IF(isEmpty(node(empty, x1)), true, right(node(empty, x1)), node(left(left(node(empty, x1))), node(right(left(node(empty, x1))), right(node(empty, x1)))), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c9(IF(false, isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2))) K tuples: COUNT(empty, x1) -> c14(INC(x1)) COUNT(x0, s(x1)) -> c14(INC(s(x1))) COUNT(empty, s(x1)) -> c14(INC(s(x1))) Defined Rule Symbols: isEmpty_1, left_1, right_1, inc_1 Defined Pair Symbols: INC_1, IF_6, COUNT_2 Compound Symbols: c7_1, c16_1, c17_1, c14_1, c9_1, c10_1, c11_1, c12_1, c13_1, c14_2, c8_1 ---------------------------------------- (235) CdtNarrowingProof (BOTH BOUNDS(ID, ID)) Use narrowing to replace COUNT(node(z0, z1), x1) -> c9(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) by COUNT(node(x0, x1), 0) -> c9(IF(false, isEmpty(left(node(x0, x1))), right(node(x0, x1)), node(left(left(node(x0, x1))), node(right(left(node(x0, x1))), right(node(x0, x1)))), 0, s(0))) COUNT(node(x0, x1), s(z0)) -> c9(IF(false, isEmpty(left(node(x0, x1))), right(node(x0, x1)), node(left(left(node(x0, x1))), node(right(left(node(x0, x1))), right(node(x0, x1)))), s(z0), s(inc(z0)))) COUNT(node(z0, z1), x2) -> c9(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c9(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c9(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c9(IF(false, isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c9(IF(false, isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2))) ---------------------------------------- (236) Obligation: Complexity Dependency Tuples Problem Rules: isEmpty(empty) -> true isEmpty(node(z0, z1)) -> false left(empty) -> empty left(node(z0, z1)) -> z0 right(empty) -> empty right(node(z0, z1)) -> z1 inc(0) -> s(0) inc(s(z0)) -> s(inc(z0)) Tuples: INC(s(z0)) -> c7(INC(z0)) IF(false, false, z0, z1, z2, z3) -> c16(COUNT(z1, z2)) IF(false, true, z0, z1, z2, z3) -> c17(COUNT(z0, z3)) COUNT(empty, x1) -> c14(INC(x1)) COUNT(x0, 0) -> c10(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(x0, s(z0)) -> c10(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0)))) COUNT(empty, x1) -> c10(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1))) COUNT(empty, x1) -> c10(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c10(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c10(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c10(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, 0) -> c11(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(x0, s(z0)) -> c11(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0)))) COUNT(empty, x1) -> c11(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1))) COUNT(empty, x1) -> c11(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c11(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c11(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c11(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, 0) -> c12(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(x0, s(z0)) -> c12(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0)))) COUNT(empty, x1) -> c12(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1))) COUNT(empty, x1) -> c12(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c12(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c12(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c12(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, 0) -> c13(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(x0, s(z0)) -> c13(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0)))) COUNT(empty, x1) -> c13(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1))) COUNT(empty, x1) -> c13(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c13(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c13(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c13(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, s(0)) -> c14(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(0), s(s(0))), INC(s(0))) COUNT(x0, s(s(z0))) -> c14(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(s(z0)), s(s(inc(z0)))), INC(s(s(z0)))) COUNT(empty, s(x1)) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), s(x1), s(inc(x1))), INC(s(x1))) COUNT(empty, s(x1)) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(empty, s(x1)) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(empty, s(x1)) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(empty, s(x1)) -> c14(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(x0, s(x1)) -> c14(INC(s(x1))) COUNT(empty, s(x1)) -> c14(INC(s(x1))) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), empty)), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), empty)), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), empty)), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x0, inc(x0)), INC(x0)) COUNT(empty, 0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), 0, s(0))) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), z1)), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), z1)), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x2, inc(x2)), INC(x2)) COUNT(node(x0, x1), 0) -> c14(IF(isEmpty(node(x0, x1)), isEmpty(left(node(x0, x1))), right(node(x0, x1)), node(left(left(node(x0, x1))), node(right(left(node(x0, x1))), x1)), 0, s(0))) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(empty, right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(empty), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(empty), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, 0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), 0, s(0))) COUNT(node(node(z0, z1), x1), x2) -> c14(IF(isEmpty(node(node(z0, z1), x1)), isEmpty(left(node(node(z0, z1), x1))), right(node(node(z0, z1), x1)), node(left(left(node(node(z0, z1), x1))), node(z1, right(node(node(z0, z1), x1)))), x2, inc(x2)), INC(x2)) COUNT(node(empty, x1), x2) -> c14(IF(isEmpty(node(empty, x1)), isEmpty(left(node(empty, x1))), right(node(empty, x1)), node(left(left(node(empty, x1))), node(empty, right(node(empty, x1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(z0), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(x0, x1), 0) -> c14(IF(isEmpty(node(x0, x1)), isEmpty(left(node(x0, x1))), right(node(x0, x1)), node(left(left(node(x0, x1))), node(right(x0), right(node(x0, x1)))), 0, s(0))) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(empty, node(right(left(empty)), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(empty), node(right(left(empty)), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, 0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), 0, s(0))) COUNT(node(node(z0, z1), x1), x2) -> c14(IF(isEmpty(node(node(z0, z1), x1)), isEmpty(left(node(node(z0, z1), x1))), right(node(node(z0, z1), x1)), node(z0, node(right(left(node(node(z0, z1), x1))), right(node(node(z0, z1), x1)))), x2, inc(x2)), INC(x2)) COUNT(node(empty, x1), x2) -> c14(IF(isEmpty(node(empty, x1)), isEmpty(left(node(empty, x1))), right(node(empty, x1)), node(empty, node(right(left(node(empty, x1))), right(node(empty, x1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(x0, x1), 0) -> c14(IF(isEmpty(node(x0, x1)), isEmpty(left(node(x0, x1))), right(node(x0, x1)), node(left(x0), node(right(left(node(x0, x1))), right(node(x0, x1)))), 0, s(0))) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(empty), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, 0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), 0, s(0))) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(z0), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(false, isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(x0, x1), 0) -> c14(IF(isEmpty(node(x0, x1)), isEmpty(left(node(x0, x1))), x1, node(left(left(node(x0, x1))), node(right(left(node(x0, x1))), right(node(x0, x1)))), 0, s(0))) COUNT(empty, x0) -> c14(IF(isEmpty(empty), true, right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, 0) -> c14(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), 0, s(0))) COUNT(node(node(z0, z1), x1), x2) -> c14(IF(isEmpty(node(node(z0, z1), x1)), false, right(node(node(z0, z1), x1)), node(left(left(node(node(z0, z1), x1))), node(right(left(node(node(z0, z1), x1))), right(node(node(z0, z1), x1)))), x2, inc(x2)), INC(x2)) COUNT(node(empty, x1), x2) -> c14(IF(isEmpty(node(empty, x1)), true, right(node(empty, x1)), node(left(left(node(empty, x1))), node(right(left(node(empty, x1))), right(node(empty, x1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(false, isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(x0, x1), 0) -> c14(IF(isEmpty(node(x0, x1)), isEmpty(x0), right(node(x0, x1)), node(left(left(node(x0, x1))), node(right(left(node(x0, x1))), right(node(x0, x1)))), 0, s(0))) COUNT(node(x0, x1), 0) -> c14(IF(false, isEmpty(left(node(x0, x1))), right(node(x0, x1)), node(left(left(node(x0, x1))), node(right(left(node(x0, x1))), right(node(x0, x1)))), 0, s(0))) COUNT(empty, 0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), 0, s(0))) COUNT(node(z0, z1), 0) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), 0, s(0))) COUNT(empty, 0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), 0, s(0))) COUNT(node(z0, z1), 0) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), 0, s(0))) COUNT(empty, 0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), 0, s(0))) COUNT(node(z0, z1), 0) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), 0, s(0))) COUNT(empty, 0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), 0, s(0))) COUNT(node(z0, z1), 0) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), 0, s(0))) COUNT(empty, 0) -> c8(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), 0, s(0))) COUNT(node(z0, z1), 0) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), 0, s(0))) COUNT(node(z0, z1), 0) -> c8(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), 0, s(0))) COUNT(x0, s(0)) -> c8(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(0), s(s(0)))) COUNT(x0, s(s(z0))) -> c8(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(s(z0)), s(s(inc(z0))))) COUNT(empty, s(x1)) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), s(x1), s(inc(x1)))) COUNT(node(z0, z1), s(x1)) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), s(x1), s(inc(x1)))) COUNT(empty, s(x1)) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), s(x1), s(inc(x1)))) COUNT(node(z0, z1), s(x1)) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), s(x1), s(inc(x1)))) COUNT(empty, s(x1)) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), s(x1), s(inc(x1)))) COUNT(node(z0, z1), s(x1)) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1)))) COUNT(empty, s(x1)) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), s(x1), s(inc(x1)))) COUNT(node(z0, z1), s(x1)) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1)))) COUNT(empty, s(x1)) -> c8(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), s(x1), s(inc(x1)))) COUNT(node(z0, z1), s(x1)) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1)))) COUNT(node(z0, z1), s(x1)) -> c8(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1)))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), empty)), x0, inc(x0))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), empty)), x0, inc(x0))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), empty)), x0, inc(x0))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x0, inc(x0))) COUNT(node(z0, z1), x2) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), z1)), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), z1)), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c8(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x2, inc(x2))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(empty, right(empty))), x0, inc(x0))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(empty), right(empty))), x0, inc(x0))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(empty), right(empty))), x0, inc(x0))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x0, inc(x0))) COUNT(node(node(z0, z1), x1), x2) -> c8(IF(isEmpty(node(node(z0, z1), x1)), isEmpty(left(node(node(z0, z1), x1))), right(node(node(z0, z1), x1)), node(left(left(node(node(z0, z1), x1))), node(z1, right(node(node(z0, z1), x1)))), x2, inc(x2))) COUNT(node(empty, x1), x2) -> c8(IF(isEmpty(node(empty, x1)), isEmpty(left(node(empty, x1))), right(node(empty, x1)), node(left(left(node(empty, x1))), node(empty, right(node(empty, x1)))), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(z0), right(node(z0, z1)))), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c8(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x2, inc(x2))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(empty, node(right(left(empty)), right(empty))), x0, inc(x0))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(empty), node(right(left(empty)), right(empty))), x0, inc(x0))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x0, inc(x0))) COUNT(node(node(z0, z1), x1), x2) -> c8(IF(isEmpty(node(node(z0, z1), x1)), isEmpty(left(node(node(z0, z1), x1))), right(node(node(z0, z1), x1)), node(z0, node(right(left(node(node(z0, z1), x1))), right(node(node(z0, z1), x1)))), x2, inc(x2))) COUNT(node(empty, x1), x2) -> c8(IF(isEmpty(node(empty, x1)), isEmpty(left(node(empty, x1))), right(node(empty, x1)), node(empty, node(right(left(node(empty, x1))), right(node(empty, x1)))), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c8(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), isEmpty(empty), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x0, inc(x0))) COUNT(node(z0, z1), x2) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(z0), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c8(IF(false, isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), true, right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x0, inc(x0))) COUNT(node(node(z0, z1), x1), x2) -> c8(IF(isEmpty(node(node(z0, z1), x1)), false, right(node(node(z0, z1), x1)), node(left(left(node(node(z0, z1), x1))), node(right(left(node(node(z0, z1), x1))), right(node(node(z0, z1), x1)))), x2, inc(x2))) COUNT(node(empty, x1), x2) -> c8(IF(isEmpty(node(empty, x1)), true, right(node(empty, x1)), node(left(left(node(empty, x1))), node(right(left(node(empty, x1))), right(node(empty, x1)))), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c8(IF(false, isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2))) COUNT(empty, 0) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), 0, s(0))) COUNT(node(z0, z1), 0) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), 0, s(0))) COUNT(empty, 0) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), 0, s(0))) COUNT(node(z0, z1), 0) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), 0, s(0))) COUNT(empty, 0) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), 0, s(0))) COUNT(node(z0, z1), 0) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), 0, s(0))) COUNT(empty, 0) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), 0, s(0))) COUNT(node(z0, z1), 0) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), 0, s(0))) COUNT(empty, 0) -> c9(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), 0, s(0))) COUNT(node(z0, z1), 0) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), 0, s(0))) COUNT(node(z0, z1), 0) -> c9(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), 0, s(0))) COUNT(x0, s(0)) -> c9(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(0), s(s(0)))) COUNT(x0, s(s(z0))) -> c9(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(s(z0)), s(s(inc(z0))))) COUNT(empty, s(x1)) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), s(x1), s(inc(x1)))) COUNT(node(z0, z1), s(x1)) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), s(x1), s(inc(x1)))) COUNT(empty, s(x1)) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), s(x1), s(inc(x1)))) COUNT(node(z0, z1), s(x1)) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), s(x1), s(inc(x1)))) COUNT(empty, s(x1)) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), s(x1), s(inc(x1)))) COUNT(node(z0, z1), s(x1)) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1)))) COUNT(empty, s(x1)) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), s(x1), s(inc(x1)))) COUNT(node(z0, z1), s(x1)) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1)))) COUNT(empty, s(x1)) -> c9(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), s(x1), s(inc(x1)))) COUNT(node(z0, z1), s(x1)) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1)))) COUNT(node(z0, z1), s(x1)) -> c9(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1)))) COUNT(empty, x0) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), empty)), x0, inc(x0))) COUNT(empty, x0) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), empty)), x0, inc(x0))) COUNT(empty, x0) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), empty)), x0, inc(x0))) COUNT(empty, x0) -> c9(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x0, inc(x0))) COUNT(node(z0, z1), x2) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), z1)), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), z1)), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c9(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x2, inc(x2))) COUNT(empty, x0) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(empty, right(empty))), x0, inc(x0))) COUNT(empty, x0) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(empty), right(empty))), x0, inc(x0))) COUNT(empty, x0) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(empty), right(empty))), x0, inc(x0))) COUNT(empty, x0) -> c9(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x0, inc(x0))) COUNT(node(node(z0, z1), x1), x2) -> c9(IF(isEmpty(node(node(z0, z1), x1)), isEmpty(left(node(node(z0, z1), x1))), right(node(node(z0, z1), x1)), node(left(left(node(node(z0, z1), x1))), node(z1, right(node(node(z0, z1), x1)))), x2, inc(x2))) COUNT(node(empty, x1), x2) -> c9(IF(isEmpty(node(empty, x1)), isEmpty(left(node(empty, x1))), right(node(empty, x1)), node(left(left(node(empty, x1))), node(empty, right(node(empty, x1)))), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(z0), right(node(z0, z1)))), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c9(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x2, inc(x2))) COUNT(empty, x0) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(empty, node(right(left(empty)), right(empty))), x0, inc(x0))) COUNT(empty, x0) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(empty), node(right(left(empty)), right(empty))), x0, inc(x0))) COUNT(empty, x0) -> c9(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x0, inc(x0))) COUNT(node(node(z0, z1), x1), x2) -> c9(IF(isEmpty(node(node(z0, z1), x1)), isEmpty(left(node(node(z0, z1), x1))), right(node(node(z0, z1), x1)), node(z0, node(right(left(node(node(z0, z1), x1))), right(node(node(z0, z1), x1)))), x2, inc(x2))) COUNT(node(empty, x1), x2) -> c9(IF(isEmpty(node(empty, x1)), isEmpty(left(node(empty, x1))), right(node(empty, x1)), node(empty, node(right(left(node(empty, x1))), right(node(empty, x1)))), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c9(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2))) COUNT(empty, x0) -> c9(IF(isEmpty(empty), isEmpty(empty), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x0, inc(x0))) COUNT(node(z0, z1), x2) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(z0), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c9(IF(false, isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2))) COUNT(empty, x0) -> c9(IF(isEmpty(empty), true, right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x0, inc(x0))) COUNT(node(node(z0, z1), x1), x2) -> c9(IF(isEmpty(node(node(z0, z1), x1)), false, right(node(node(z0, z1), x1)), node(left(left(node(node(z0, z1), x1))), node(right(left(node(node(z0, z1), x1))), right(node(node(z0, z1), x1)))), x2, inc(x2))) COUNT(node(empty, x1), x2) -> c9(IF(isEmpty(node(empty, x1)), true, right(node(empty, x1)), node(left(left(node(empty, x1))), node(right(left(node(empty, x1))), right(node(empty, x1)))), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c9(IF(false, isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2))) S tuples: INC(s(z0)) -> c7(INC(z0)) IF(false, false, z0, z1, z2, z3) -> c16(COUNT(z1, z2)) IF(false, true, z0, z1, z2, z3) -> c17(COUNT(z0, z3)) COUNT(x0, 0) -> c10(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(x0, s(z0)) -> c10(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0)))) COUNT(empty, x1) -> c10(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1))) COUNT(empty, x1) -> c10(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c10(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c10(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c10(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, 0) -> c11(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(x0, s(z0)) -> c11(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0)))) COUNT(empty, x1) -> c11(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1))) COUNT(empty, x1) -> c11(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c11(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c11(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c11(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, 0) -> c12(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(x0, s(z0)) -> c12(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0)))) COUNT(empty, x1) -> c12(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1))) COUNT(empty, x1) -> c12(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c12(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c12(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c12(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, 0) -> c13(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(x0, s(z0)) -> c13(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0)))) COUNT(empty, x1) -> c13(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1))) COUNT(empty, x1) -> c13(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c13(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c13(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c13(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, s(0)) -> c14(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(0), s(s(0))), INC(s(0))) COUNT(x0, s(s(z0))) -> c14(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(s(z0)), s(s(inc(z0)))), INC(s(s(z0)))) COUNT(empty, s(x1)) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), s(x1), s(inc(x1))), INC(s(x1))) COUNT(empty, s(x1)) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(empty, s(x1)) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(empty, s(x1)) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(empty, s(x1)) -> c14(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), empty)), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), empty)), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), empty)), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x0, inc(x0)), INC(x0)) COUNT(empty, 0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), 0, s(0))) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), z1)), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), z1)), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x2, inc(x2)), INC(x2)) COUNT(node(x0, x1), 0) -> c14(IF(isEmpty(node(x0, x1)), isEmpty(left(node(x0, x1))), right(node(x0, x1)), node(left(left(node(x0, x1))), node(right(left(node(x0, x1))), x1)), 0, s(0))) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(empty, right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(empty), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(empty), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, 0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), 0, s(0))) COUNT(node(node(z0, z1), x1), x2) -> c14(IF(isEmpty(node(node(z0, z1), x1)), isEmpty(left(node(node(z0, z1), x1))), right(node(node(z0, z1), x1)), node(left(left(node(node(z0, z1), x1))), node(z1, right(node(node(z0, z1), x1)))), x2, inc(x2)), INC(x2)) COUNT(node(empty, x1), x2) -> c14(IF(isEmpty(node(empty, x1)), isEmpty(left(node(empty, x1))), right(node(empty, x1)), node(left(left(node(empty, x1))), node(empty, right(node(empty, x1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(z0), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(x0, x1), 0) -> c14(IF(isEmpty(node(x0, x1)), isEmpty(left(node(x0, x1))), right(node(x0, x1)), node(left(left(node(x0, x1))), node(right(x0), right(node(x0, x1)))), 0, s(0))) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(empty, node(right(left(empty)), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(empty), node(right(left(empty)), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, 0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), 0, s(0))) COUNT(node(node(z0, z1), x1), x2) -> c14(IF(isEmpty(node(node(z0, z1), x1)), isEmpty(left(node(node(z0, z1), x1))), right(node(node(z0, z1), x1)), node(z0, node(right(left(node(node(z0, z1), x1))), right(node(node(z0, z1), x1)))), x2, inc(x2)), INC(x2)) COUNT(node(empty, x1), x2) -> c14(IF(isEmpty(node(empty, x1)), isEmpty(left(node(empty, x1))), right(node(empty, x1)), node(empty, node(right(left(node(empty, x1))), right(node(empty, x1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(x0, x1), 0) -> c14(IF(isEmpty(node(x0, x1)), isEmpty(left(node(x0, x1))), right(node(x0, x1)), node(left(x0), node(right(left(node(x0, x1))), right(node(x0, x1)))), 0, s(0))) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(empty), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, 0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), 0, s(0))) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(z0), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(false, isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(x0, x1), 0) -> c14(IF(isEmpty(node(x0, x1)), isEmpty(left(node(x0, x1))), x1, node(left(left(node(x0, x1))), node(right(left(node(x0, x1))), right(node(x0, x1)))), 0, s(0))) COUNT(empty, x0) -> c14(IF(isEmpty(empty), true, right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, 0) -> c14(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), 0, s(0))) COUNT(node(node(z0, z1), x1), x2) -> c14(IF(isEmpty(node(node(z0, z1), x1)), false, right(node(node(z0, z1), x1)), node(left(left(node(node(z0, z1), x1))), node(right(left(node(node(z0, z1), x1))), right(node(node(z0, z1), x1)))), x2, inc(x2)), INC(x2)) COUNT(node(empty, x1), x2) -> c14(IF(isEmpty(node(empty, x1)), true, right(node(empty, x1)), node(left(left(node(empty, x1))), node(right(left(node(empty, x1))), right(node(empty, x1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(false, isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(x0, x1), 0) -> c14(IF(isEmpty(node(x0, x1)), isEmpty(x0), right(node(x0, x1)), node(left(left(node(x0, x1))), node(right(left(node(x0, x1))), right(node(x0, x1)))), 0, s(0))) COUNT(node(x0, x1), 0) -> c14(IF(false, isEmpty(left(node(x0, x1))), right(node(x0, x1)), node(left(left(node(x0, x1))), node(right(left(node(x0, x1))), right(node(x0, x1)))), 0, s(0))) COUNT(empty, 0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), 0, s(0))) COUNT(node(z0, z1), 0) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), 0, s(0))) COUNT(empty, 0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), 0, s(0))) COUNT(node(z0, z1), 0) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), 0, s(0))) COUNT(empty, 0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), 0, s(0))) COUNT(node(z0, z1), 0) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), 0, s(0))) COUNT(empty, 0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), 0, s(0))) COUNT(node(z0, z1), 0) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), 0, s(0))) COUNT(empty, 0) -> c8(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), 0, s(0))) COUNT(node(z0, z1), 0) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), 0, s(0))) COUNT(node(z0, z1), 0) -> c8(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), 0, s(0))) COUNT(x0, s(0)) -> c8(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(0), s(s(0)))) COUNT(x0, s(s(z0))) -> c8(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(s(z0)), s(s(inc(z0))))) COUNT(empty, s(x1)) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), s(x1), s(inc(x1)))) COUNT(node(z0, z1), s(x1)) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), s(x1), s(inc(x1)))) COUNT(empty, s(x1)) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), s(x1), s(inc(x1)))) COUNT(node(z0, z1), s(x1)) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), s(x1), s(inc(x1)))) COUNT(empty, s(x1)) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), s(x1), s(inc(x1)))) COUNT(node(z0, z1), s(x1)) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1)))) COUNT(empty, s(x1)) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), s(x1), s(inc(x1)))) COUNT(node(z0, z1), s(x1)) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1)))) COUNT(empty, s(x1)) -> c8(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), s(x1), s(inc(x1)))) COUNT(node(z0, z1), s(x1)) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1)))) COUNT(node(z0, z1), s(x1)) -> c8(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1)))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), empty)), x0, inc(x0))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), empty)), x0, inc(x0))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), empty)), x0, inc(x0))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x0, inc(x0))) COUNT(node(z0, z1), x2) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), z1)), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), z1)), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c8(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x2, inc(x2))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(empty, right(empty))), x0, inc(x0))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(empty), right(empty))), x0, inc(x0))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(empty), right(empty))), x0, inc(x0))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x0, inc(x0))) COUNT(node(node(z0, z1), x1), x2) -> c8(IF(isEmpty(node(node(z0, z1), x1)), isEmpty(left(node(node(z0, z1), x1))), right(node(node(z0, z1), x1)), node(left(left(node(node(z0, z1), x1))), node(z1, right(node(node(z0, z1), x1)))), x2, inc(x2))) COUNT(node(empty, x1), x2) -> c8(IF(isEmpty(node(empty, x1)), isEmpty(left(node(empty, x1))), right(node(empty, x1)), node(left(left(node(empty, x1))), node(empty, right(node(empty, x1)))), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(z0), right(node(z0, z1)))), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c8(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x2, inc(x2))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(empty, node(right(left(empty)), right(empty))), x0, inc(x0))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(empty), node(right(left(empty)), right(empty))), x0, inc(x0))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x0, inc(x0))) COUNT(node(node(z0, z1), x1), x2) -> c8(IF(isEmpty(node(node(z0, z1), x1)), isEmpty(left(node(node(z0, z1), x1))), right(node(node(z0, z1), x1)), node(z0, node(right(left(node(node(z0, z1), x1))), right(node(node(z0, z1), x1)))), x2, inc(x2))) COUNT(node(empty, x1), x2) -> c8(IF(isEmpty(node(empty, x1)), isEmpty(left(node(empty, x1))), right(node(empty, x1)), node(empty, node(right(left(node(empty, x1))), right(node(empty, x1)))), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c8(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), isEmpty(empty), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x0, inc(x0))) COUNT(node(z0, z1), x2) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(z0), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c8(IF(false, isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), true, right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x0, inc(x0))) COUNT(node(node(z0, z1), x1), x2) -> c8(IF(isEmpty(node(node(z0, z1), x1)), false, right(node(node(z0, z1), x1)), node(left(left(node(node(z0, z1), x1))), node(right(left(node(node(z0, z1), x1))), right(node(node(z0, z1), x1)))), x2, inc(x2))) COUNT(node(empty, x1), x2) -> c8(IF(isEmpty(node(empty, x1)), true, right(node(empty, x1)), node(left(left(node(empty, x1))), node(right(left(node(empty, x1))), right(node(empty, x1)))), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c8(IF(false, isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2))) COUNT(empty, 0) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), 0, s(0))) COUNT(node(z0, z1), 0) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), 0, s(0))) COUNT(empty, 0) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), 0, s(0))) COUNT(node(z0, z1), 0) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), 0, s(0))) COUNT(empty, 0) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), 0, s(0))) COUNT(node(z0, z1), 0) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), 0, s(0))) COUNT(empty, 0) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), 0, s(0))) COUNT(node(z0, z1), 0) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), 0, s(0))) COUNT(empty, 0) -> c9(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), 0, s(0))) COUNT(node(z0, z1), 0) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), 0, s(0))) COUNT(node(z0, z1), 0) -> c9(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), 0, s(0))) COUNT(x0, s(0)) -> c9(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(0), s(s(0)))) COUNT(x0, s(s(z0))) -> c9(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(s(z0)), s(s(inc(z0))))) COUNT(empty, s(x1)) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), s(x1), s(inc(x1)))) COUNT(node(z0, z1), s(x1)) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), s(x1), s(inc(x1)))) COUNT(empty, s(x1)) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), s(x1), s(inc(x1)))) COUNT(node(z0, z1), s(x1)) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), s(x1), s(inc(x1)))) COUNT(empty, s(x1)) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), s(x1), s(inc(x1)))) COUNT(node(z0, z1), s(x1)) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1)))) COUNT(empty, s(x1)) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), s(x1), s(inc(x1)))) COUNT(node(z0, z1), s(x1)) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1)))) COUNT(empty, s(x1)) -> c9(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), s(x1), s(inc(x1)))) COUNT(node(z0, z1), s(x1)) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1)))) COUNT(node(z0, z1), s(x1)) -> c9(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1)))) COUNT(empty, x0) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), empty)), x0, inc(x0))) COUNT(empty, x0) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), empty)), x0, inc(x0))) COUNT(empty, x0) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), empty)), x0, inc(x0))) COUNT(empty, x0) -> c9(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x0, inc(x0))) COUNT(node(z0, z1), x2) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), z1)), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), z1)), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c9(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x2, inc(x2))) COUNT(empty, x0) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(empty, right(empty))), x0, inc(x0))) COUNT(empty, x0) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(empty), right(empty))), x0, inc(x0))) COUNT(empty, x0) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(empty), right(empty))), x0, inc(x0))) COUNT(empty, x0) -> c9(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x0, inc(x0))) COUNT(node(node(z0, z1), x1), x2) -> c9(IF(isEmpty(node(node(z0, z1), x1)), isEmpty(left(node(node(z0, z1), x1))), right(node(node(z0, z1), x1)), node(left(left(node(node(z0, z1), x1))), node(z1, right(node(node(z0, z1), x1)))), x2, inc(x2))) COUNT(node(empty, x1), x2) -> c9(IF(isEmpty(node(empty, x1)), isEmpty(left(node(empty, x1))), right(node(empty, x1)), node(left(left(node(empty, x1))), node(empty, right(node(empty, x1)))), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(z0), right(node(z0, z1)))), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c9(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x2, inc(x2))) COUNT(empty, x0) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(empty, node(right(left(empty)), right(empty))), x0, inc(x0))) COUNT(empty, x0) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(empty), node(right(left(empty)), right(empty))), x0, inc(x0))) COUNT(empty, x0) -> c9(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x0, inc(x0))) COUNT(node(node(z0, z1), x1), x2) -> c9(IF(isEmpty(node(node(z0, z1), x1)), isEmpty(left(node(node(z0, z1), x1))), right(node(node(z0, z1), x1)), node(z0, node(right(left(node(node(z0, z1), x1))), right(node(node(z0, z1), x1)))), x2, inc(x2))) COUNT(node(empty, x1), x2) -> c9(IF(isEmpty(node(empty, x1)), isEmpty(left(node(empty, x1))), right(node(empty, x1)), node(empty, node(right(left(node(empty, x1))), right(node(empty, x1)))), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c9(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2))) COUNT(empty, x0) -> c9(IF(isEmpty(empty), isEmpty(empty), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x0, inc(x0))) COUNT(node(z0, z1), x2) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(z0), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c9(IF(false, isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2))) COUNT(empty, x0) -> c9(IF(isEmpty(empty), true, right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x0, inc(x0))) COUNT(node(node(z0, z1), x1), x2) -> c9(IF(isEmpty(node(node(z0, z1), x1)), false, right(node(node(z0, z1), x1)), node(left(left(node(node(z0, z1), x1))), node(right(left(node(node(z0, z1), x1))), right(node(node(z0, z1), x1)))), x2, inc(x2))) COUNT(node(empty, x1), x2) -> c9(IF(isEmpty(node(empty, x1)), true, right(node(empty, x1)), node(left(left(node(empty, x1))), node(right(left(node(empty, x1))), right(node(empty, x1)))), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c9(IF(false, isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2))) K tuples: COUNT(empty, x1) -> c14(INC(x1)) COUNT(x0, s(x1)) -> c14(INC(s(x1))) COUNT(empty, s(x1)) -> c14(INC(s(x1))) Defined Rule Symbols: isEmpty_1, left_1, right_1, inc_1 Defined Pair Symbols: INC_1, IF_6, COUNT_2 Compound Symbols: c7_1, c16_1, c17_1, c14_1, c10_1, c11_1, c12_1, c13_1, c14_2, c8_1, c9_1 ---------------------------------------- (237) CdtNarrowingProof (BOTH BOUNDS(ID, ID)) Use narrowing to replace COUNT(x0, 0) -> c10(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) by COUNT(empty, 0) -> c10(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), 0, s(0))) COUNT(node(z0, z1), 0) -> c10(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), 0, s(0))) COUNT(empty, 0) -> c10(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), 0, s(0))) COUNT(node(z0, z1), 0) -> c10(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), 0, s(0))) COUNT(empty, 0) -> c10(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), 0, s(0))) COUNT(node(z0, z1), 0) -> c10(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), 0, s(0))) COUNT(empty, 0) -> c10(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), 0, s(0))) COUNT(node(z0, z1), 0) -> c10(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), 0, s(0))) COUNT(empty, 0) -> c10(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), 0, s(0))) COUNT(node(z0, z1), 0) -> c10(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), 0, s(0))) COUNT(empty, 0) -> c10(IF(true, isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), 0, s(0))) COUNT(node(z0, z1), 0) -> c10(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), 0, s(0))) ---------------------------------------- (238) Obligation: Complexity Dependency Tuples Problem Rules: isEmpty(empty) -> true isEmpty(node(z0, z1)) -> false left(empty) -> empty left(node(z0, z1)) -> z0 right(empty) -> empty right(node(z0, z1)) -> z1 inc(0) -> s(0) inc(s(z0)) -> s(inc(z0)) Tuples: INC(s(z0)) -> c7(INC(z0)) IF(false, false, z0, z1, z2, z3) -> c16(COUNT(z1, z2)) IF(false, true, z0, z1, z2, z3) -> c17(COUNT(z0, z3)) COUNT(empty, x1) -> c14(INC(x1)) COUNT(x0, s(z0)) -> c10(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0)))) COUNT(empty, x1) -> c10(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1))) COUNT(empty, x1) -> c10(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c10(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c10(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c10(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, 0) -> c11(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(x0, s(z0)) -> c11(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0)))) COUNT(empty, x1) -> c11(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1))) COUNT(empty, x1) -> c11(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c11(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c11(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c11(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, 0) -> c12(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(x0, s(z0)) -> c12(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0)))) COUNT(empty, x1) -> c12(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1))) COUNT(empty, x1) -> c12(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c12(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c12(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c12(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, 0) -> c13(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(x0, s(z0)) -> c13(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0)))) COUNT(empty, x1) -> c13(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1))) COUNT(empty, x1) -> c13(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c13(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c13(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c13(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, s(0)) -> c14(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(0), s(s(0))), INC(s(0))) COUNT(x0, s(s(z0))) -> c14(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(s(z0)), s(s(inc(z0)))), INC(s(s(z0)))) COUNT(empty, s(x1)) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), s(x1), s(inc(x1))), INC(s(x1))) COUNT(empty, s(x1)) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(empty, s(x1)) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(empty, s(x1)) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(empty, s(x1)) -> c14(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(x0, s(x1)) -> c14(INC(s(x1))) COUNT(empty, s(x1)) -> c14(INC(s(x1))) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), empty)), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), empty)), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), empty)), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x0, inc(x0)), INC(x0)) COUNT(empty, 0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), 0, s(0))) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), z1)), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), z1)), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x2, inc(x2)), INC(x2)) COUNT(node(x0, x1), 0) -> c14(IF(isEmpty(node(x0, x1)), isEmpty(left(node(x0, x1))), right(node(x0, x1)), node(left(left(node(x0, x1))), node(right(left(node(x0, x1))), x1)), 0, s(0))) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(empty, right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(empty), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(empty), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, 0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), 0, s(0))) COUNT(node(node(z0, z1), x1), x2) -> c14(IF(isEmpty(node(node(z0, z1), x1)), isEmpty(left(node(node(z0, z1), x1))), right(node(node(z0, z1), x1)), node(left(left(node(node(z0, z1), x1))), node(z1, right(node(node(z0, z1), x1)))), x2, inc(x2)), INC(x2)) COUNT(node(empty, x1), x2) -> c14(IF(isEmpty(node(empty, x1)), isEmpty(left(node(empty, x1))), right(node(empty, x1)), node(left(left(node(empty, x1))), node(empty, right(node(empty, x1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(z0), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(x0, x1), 0) -> c14(IF(isEmpty(node(x0, x1)), isEmpty(left(node(x0, x1))), right(node(x0, x1)), node(left(left(node(x0, x1))), node(right(x0), right(node(x0, x1)))), 0, s(0))) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(empty, node(right(left(empty)), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(empty), node(right(left(empty)), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, 0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), 0, s(0))) COUNT(node(node(z0, z1), x1), x2) -> c14(IF(isEmpty(node(node(z0, z1), x1)), isEmpty(left(node(node(z0, z1), x1))), right(node(node(z0, z1), x1)), node(z0, node(right(left(node(node(z0, z1), x1))), right(node(node(z0, z1), x1)))), x2, inc(x2)), INC(x2)) COUNT(node(empty, x1), x2) -> c14(IF(isEmpty(node(empty, x1)), isEmpty(left(node(empty, x1))), right(node(empty, x1)), node(empty, node(right(left(node(empty, x1))), right(node(empty, x1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(x0, x1), 0) -> c14(IF(isEmpty(node(x0, x1)), isEmpty(left(node(x0, x1))), right(node(x0, x1)), node(left(x0), node(right(left(node(x0, x1))), right(node(x0, x1)))), 0, s(0))) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(empty), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, 0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), 0, s(0))) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(z0), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(false, isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(x0, x1), 0) -> c14(IF(isEmpty(node(x0, x1)), isEmpty(left(node(x0, x1))), x1, node(left(left(node(x0, x1))), node(right(left(node(x0, x1))), right(node(x0, x1)))), 0, s(0))) COUNT(empty, x0) -> c14(IF(isEmpty(empty), true, right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, 0) -> c14(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), 0, s(0))) COUNT(node(node(z0, z1), x1), x2) -> c14(IF(isEmpty(node(node(z0, z1), x1)), false, right(node(node(z0, z1), x1)), node(left(left(node(node(z0, z1), x1))), node(right(left(node(node(z0, z1), x1))), right(node(node(z0, z1), x1)))), x2, inc(x2)), INC(x2)) COUNT(node(empty, x1), x2) -> c14(IF(isEmpty(node(empty, x1)), true, right(node(empty, x1)), node(left(left(node(empty, x1))), node(right(left(node(empty, x1))), right(node(empty, x1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(false, isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(x0, x1), 0) -> c14(IF(isEmpty(node(x0, x1)), isEmpty(x0), right(node(x0, x1)), node(left(left(node(x0, x1))), node(right(left(node(x0, x1))), right(node(x0, x1)))), 0, s(0))) COUNT(node(x0, x1), 0) -> c14(IF(false, isEmpty(left(node(x0, x1))), right(node(x0, x1)), node(left(left(node(x0, x1))), node(right(left(node(x0, x1))), right(node(x0, x1)))), 0, s(0))) COUNT(empty, 0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), 0, s(0))) COUNT(node(z0, z1), 0) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), 0, s(0))) COUNT(empty, 0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), 0, s(0))) COUNT(node(z0, z1), 0) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), 0, s(0))) COUNT(empty, 0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), 0, s(0))) COUNT(node(z0, z1), 0) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), 0, s(0))) COUNT(empty, 0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), 0, s(0))) COUNT(node(z0, z1), 0) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), 0, s(0))) COUNT(empty, 0) -> c8(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), 0, s(0))) COUNT(node(z0, z1), 0) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), 0, s(0))) COUNT(node(z0, z1), 0) -> c8(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), 0, s(0))) COUNT(x0, s(0)) -> c8(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(0), s(s(0)))) COUNT(x0, s(s(z0))) -> c8(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(s(z0)), s(s(inc(z0))))) COUNT(empty, s(x1)) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), s(x1), s(inc(x1)))) COUNT(node(z0, z1), s(x1)) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), s(x1), s(inc(x1)))) COUNT(empty, s(x1)) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), s(x1), s(inc(x1)))) COUNT(node(z0, z1), s(x1)) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), s(x1), s(inc(x1)))) COUNT(empty, s(x1)) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), s(x1), s(inc(x1)))) COUNT(node(z0, z1), s(x1)) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1)))) COUNT(empty, s(x1)) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), s(x1), s(inc(x1)))) COUNT(node(z0, z1), s(x1)) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1)))) COUNT(empty, s(x1)) -> c8(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), s(x1), s(inc(x1)))) COUNT(node(z0, z1), s(x1)) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1)))) COUNT(node(z0, z1), s(x1)) -> c8(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1)))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), empty)), x0, inc(x0))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), empty)), x0, inc(x0))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), empty)), x0, inc(x0))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x0, inc(x0))) COUNT(node(z0, z1), x2) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), z1)), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), z1)), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c8(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x2, inc(x2))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(empty, right(empty))), x0, inc(x0))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(empty), right(empty))), x0, inc(x0))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(empty), right(empty))), x0, inc(x0))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x0, inc(x0))) COUNT(node(node(z0, z1), x1), x2) -> c8(IF(isEmpty(node(node(z0, z1), x1)), isEmpty(left(node(node(z0, z1), x1))), right(node(node(z0, z1), x1)), node(left(left(node(node(z0, z1), x1))), node(z1, right(node(node(z0, z1), x1)))), x2, inc(x2))) COUNT(node(empty, x1), x2) -> c8(IF(isEmpty(node(empty, x1)), isEmpty(left(node(empty, x1))), right(node(empty, x1)), node(left(left(node(empty, x1))), node(empty, right(node(empty, x1)))), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(z0), right(node(z0, z1)))), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c8(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x2, inc(x2))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(empty, node(right(left(empty)), right(empty))), x0, inc(x0))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(empty), node(right(left(empty)), right(empty))), x0, inc(x0))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x0, inc(x0))) COUNT(node(node(z0, z1), x1), x2) -> c8(IF(isEmpty(node(node(z0, z1), x1)), isEmpty(left(node(node(z0, z1), x1))), right(node(node(z0, z1), x1)), node(z0, node(right(left(node(node(z0, z1), x1))), right(node(node(z0, z1), x1)))), x2, inc(x2))) COUNT(node(empty, x1), x2) -> c8(IF(isEmpty(node(empty, x1)), isEmpty(left(node(empty, x1))), right(node(empty, x1)), node(empty, node(right(left(node(empty, x1))), right(node(empty, x1)))), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c8(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), isEmpty(empty), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x0, inc(x0))) COUNT(node(z0, z1), x2) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(z0), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c8(IF(false, isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), true, right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x0, inc(x0))) COUNT(node(node(z0, z1), x1), x2) -> c8(IF(isEmpty(node(node(z0, z1), x1)), false, right(node(node(z0, z1), x1)), node(left(left(node(node(z0, z1), x1))), node(right(left(node(node(z0, z1), x1))), right(node(node(z0, z1), x1)))), x2, inc(x2))) COUNT(node(empty, x1), x2) -> c8(IF(isEmpty(node(empty, x1)), true, right(node(empty, x1)), node(left(left(node(empty, x1))), node(right(left(node(empty, x1))), right(node(empty, x1)))), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c8(IF(false, isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2))) COUNT(empty, 0) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), 0, s(0))) COUNT(node(z0, z1), 0) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), 0, s(0))) COUNT(empty, 0) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), 0, s(0))) COUNT(node(z0, z1), 0) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), 0, s(0))) COUNT(empty, 0) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), 0, s(0))) COUNT(node(z0, z1), 0) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), 0, s(0))) COUNT(empty, 0) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), 0, s(0))) COUNT(node(z0, z1), 0) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), 0, s(0))) COUNT(empty, 0) -> c9(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), 0, s(0))) COUNT(node(z0, z1), 0) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), 0, s(0))) COUNT(node(z0, z1), 0) -> c9(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), 0, s(0))) COUNT(x0, s(0)) -> c9(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(0), s(s(0)))) COUNT(x0, s(s(z0))) -> c9(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(s(z0)), s(s(inc(z0))))) COUNT(empty, s(x1)) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), s(x1), s(inc(x1)))) COUNT(node(z0, z1), s(x1)) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), s(x1), s(inc(x1)))) COUNT(empty, s(x1)) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), s(x1), s(inc(x1)))) COUNT(node(z0, z1), s(x1)) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), s(x1), s(inc(x1)))) COUNT(empty, s(x1)) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), s(x1), s(inc(x1)))) COUNT(node(z0, z1), s(x1)) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1)))) COUNT(empty, s(x1)) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), s(x1), s(inc(x1)))) COUNT(node(z0, z1), s(x1)) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1)))) COUNT(empty, s(x1)) -> c9(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), s(x1), s(inc(x1)))) COUNT(node(z0, z1), s(x1)) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1)))) COUNT(node(z0, z1), s(x1)) -> c9(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1)))) COUNT(empty, x0) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), empty)), x0, inc(x0))) COUNT(empty, x0) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), empty)), x0, inc(x0))) COUNT(empty, x0) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), empty)), x0, inc(x0))) COUNT(empty, x0) -> c9(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x0, inc(x0))) COUNT(node(z0, z1), x2) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), z1)), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), z1)), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c9(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x2, inc(x2))) COUNT(empty, x0) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(empty, right(empty))), x0, inc(x0))) COUNT(empty, x0) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(empty), right(empty))), x0, inc(x0))) COUNT(empty, x0) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(empty), right(empty))), x0, inc(x0))) COUNT(empty, x0) -> c9(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x0, inc(x0))) COUNT(node(node(z0, z1), x1), x2) -> c9(IF(isEmpty(node(node(z0, z1), x1)), isEmpty(left(node(node(z0, z1), x1))), right(node(node(z0, z1), x1)), node(left(left(node(node(z0, z1), x1))), node(z1, right(node(node(z0, z1), x1)))), x2, inc(x2))) COUNT(node(empty, x1), x2) -> c9(IF(isEmpty(node(empty, x1)), isEmpty(left(node(empty, x1))), right(node(empty, x1)), node(left(left(node(empty, x1))), node(empty, right(node(empty, x1)))), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(z0), right(node(z0, z1)))), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c9(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x2, inc(x2))) COUNT(empty, x0) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(empty, node(right(left(empty)), right(empty))), x0, inc(x0))) COUNT(empty, x0) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(empty), node(right(left(empty)), right(empty))), x0, inc(x0))) COUNT(empty, x0) -> c9(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x0, inc(x0))) COUNT(node(node(z0, z1), x1), x2) -> c9(IF(isEmpty(node(node(z0, z1), x1)), isEmpty(left(node(node(z0, z1), x1))), right(node(node(z0, z1), x1)), node(z0, node(right(left(node(node(z0, z1), x1))), right(node(node(z0, z1), x1)))), x2, inc(x2))) COUNT(node(empty, x1), x2) -> c9(IF(isEmpty(node(empty, x1)), isEmpty(left(node(empty, x1))), right(node(empty, x1)), node(empty, node(right(left(node(empty, x1))), right(node(empty, x1)))), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c9(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2))) COUNT(empty, x0) -> c9(IF(isEmpty(empty), isEmpty(empty), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x0, inc(x0))) COUNT(node(z0, z1), x2) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(z0), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c9(IF(false, isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2))) COUNT(empty, x0) -> c9(IF(isEmpty(empty), true, right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x0, inc(x0))) COUNT(node(node(z0, z1), x1), x2) -> c9(IF(isEmpty(node(node(z0, z1), x1)), false, right(node(node(z0, z1), x1)), node(left(left(node(node(z0, z1), x1))), node(right(left(node(node(z0, z1), x1))), right(node(node(z0, z1), x1)))), x2, inc(x2))) COUNT(node(empty, x1), x2) -> c9(IF(isEmpty(node(empty, x1)), true, right(node(empty, x1)), node(left(left(node(empty, x1))), node(right(left(node(empty, x1))), right(node(empty, x1)))), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c9(IF(false, isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2))) COUNT(empty, 0) -> c10(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), 0, s(0))) COUNT(node(z0, z1), 0) -> c10(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), 0, s(0))) COUNT(empty, 0) -> c10(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), 0, s(0))) COUNT(node(z0, z1), 0) -> c10(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), 0, s(0))) COUNT(empty, 0) -> c10(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), 0, s(0))) COUNT(node(z0, z1), 0) -> c10(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), 0, s(0))) COUNT(empty, 0) -> c10(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), 0, s(0))) COUNT(node(z0, z1), 0) -> c10(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), 0, s(0))) COUNT(empty, 0) -> c10(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), 0, s(0))) COUNT(node(z0, z1), 0) -> c10(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), 0, s(0))) COUNT(empty, 0) -> c10(IF(true, isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), 0, s(0))) COUNT(node(z0, z1), 0) -> c10(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), 0, s(0))) S tuples: INC(s(z0)) -> c7(INC(z0)) IF(false, false, z0, z1, z2, z3) -> c16(COUNT(z1, z2)) IF(false, true, z0, z1, z2, z3) -> c17(COUNT(z0, z3)) COUNT(x0, s(z0)) -> c10(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0)))) COUNT(empty, x1) -> c10(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1))) COUNT(empty, x1) -> c10(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c10(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c10(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c10(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, 0) -> c11(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(x0, s(z0)) -> c11(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0)))) COUNT(empty, x1) -> c11(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1))) COUNT(empty, x1) -> c11(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c11(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c11(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c11(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, 0) -> c12(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(x0, s(z0)) -> c12(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0)))) COUNT(empty, x1) -> c12(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1))) COUNT(empty, x1) -> c12(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c12(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c12(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c12(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, 0) -> c13(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(x0, s(z0)) -> c13(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0)))) COUNT(empty, x1) -> c13(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1))) COUNT(empty, x1) -> c13(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c13(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c13(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c13(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, s(0)) -> c14(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(0), s(s(0))), INC(s(0))) COUNT(x0, s(s(z0))) -> c14(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(s(z0)), s(s(inc(z0)))), INC(s(s(z0)))) COUNT(empty, s(x1)) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), s(x1), s(inc(x1))), INC(s(x1))) COUNT(empty, s(x1)) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(empty, s(x1)) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(empty, s(x1)) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(empty, s(x1)) -> c14(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), empty)), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), empty)), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), empty)), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x0, inc(x0)), INC(x0)) COUNT(empty, 0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), 0, s(0))) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), z1)), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), z1)), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x2, inc(x2)), INC(x2)) COUNT(node(x0, x1), 0) -> c14(IF(isEmpty(node(x0, x1)), isEmpty(left(node(x0, x1))), right(node(x0, x1)), node(left(left(node(x0, x1))), node(right(left(node(x0, x1))), x1)), 0, s(0))) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(empty, right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(empty), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(empty), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, 0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), 0, s(0))) COUNT(node(node(z0, z1), x1), x2) -> c14(IF(isEmpty(node(node(z0, z1), x1)), isEmpty(left(node(node(z0, z1), x1))), right(node(node(z0, z1), x1)), node(left(left(node(node(z0, z1), x1))), node(z1, right(node(node(z0, z1), x1)))), x2, inc(x2)), INC(x2)) COUNT(node(empty, x1), x2) -> c14(IF(isEmpty(node(empty, x1)), isEmpty(left(node(empty, x1))), right(node(empty, x1)), node(left(left(node(empty, x1))), node(empty, right(node(empty, x1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(z0), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(x0, x1), 0) -> c14(IF(isEmpty(node(x0, x1)), isEmpty(left(node(x0, x1))), right(node(x0, x1)), node(left(left(node(x0, x1))), node(right(x0), right(node(x0, x1)))), 0, s(0))) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(empty, node(right(left(empty)), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(empty), node(right(left(empty)), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, 0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), 0, s(0))) COUNT(node(node(z0, z1), x1), x2) -> c14(IF(isEmpty(node(node(z0, z1), x1)), isEmpty(left(node(node(z0, z1), x1))), right(node(node(z0, z1), x1)), node(z0, node(right(left(node(node(z0, z1), x1))), right(node(node(z0, z1), x1)))), x2, inc(x2)), INC(x2)) COUNT(node(empty, x1), x2) -> c14(IF(isEmpty(node(empty, x1)), isEmpty(left(node(empty, x1))), right(node(empty, x1)), node(empty, node(right(left(node(empty, x1))), right(node(empty, x1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(x0, x1), 0) -> c14(IF(isEmpty(node(x0, x1)), isEmpty(left(node(x0, x1))), right(node(x0, x1)), node(left(x0), node(right(left(node(x0, x1))), right(node(x0, x1)))), 0, s(0))) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(empty), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, 0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), 0, s(0))) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(z0), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(false, isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(x0, x1), 0) -> c14(IF(isEmpty(node(x0, x1)), isEmpty(left(node(x0, x1))), x1, node(left(left(node(x0, x1))), node(right(left(node(x0, x1))), right(node(x0, x1)))), 0, s(0))) COUNT(empty, x0) -> c14(IF(isEmpty(empty), true, right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, 0) -> c14(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), 0, s(0))) COUNT(node(node(z0, z1), x1), x2) -> c14(IF(isEmpty(node(node(z0, z1), x1)), false, right(node(node(z0, z1), x1)), node(left(left(node(node(z0, z1), x1))), node(right(left(node(node(z0, z1), x1))), right(node(node(z0, z1), x1)))), x2, inc(x2)), INC(x2)) COUNT(node(empty, x1), x2) -> c14(IF(isEmpty(node(empty, x1)), true, right(node(empty, x1)), node(left(left(node(empty, x1))), node(right(left(node(empty, x1))), right(node(empty, x1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(false, isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(x0, x1), 0) -> c14(IF(isEmpty(node(x0, x1)), isEmpty(x0), right(node(x0, x1)), node(left(left(node(x0, x1))), node(right(left(node(x0, x1))), right(node(x0, x1)))), 0, s(0))) COUNT(node(x0, x1), 0) -> c14(IF(false, isEmpty(left(node(x0, x1))), right(node(x0, x1)), node(left(left(node(x0, x1))), node(right(left(node(x0, x1))), right(node(x0, x1)))), 0, s(0))) COUNT(empty, 0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), 0, s(0))) COUNT(node(z0, z1), 0) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), 0, s(0))) COUNT(empty, 0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), 0, s(0))) COUNT(node(z0, z1), 0) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), 0, s(0))) COUNT(empty, 0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), 0, s(0))) COUNT(node(z0, z1), 0) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), 0, s(0))) COUNT(empty, 0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), 0, s(0))) COUNT(node(z0, z1), 0) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), 0, s(0))) COUNT(empty, 0) -> c8(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), 0, s(0))) COUNT(node(z0, z1), 0) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), 0, s(0))) COUNT(node(z0, z1), 0) -> c8(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), 0, s(0))) COUNT(x0, s(0)) -> c8(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(0), s(s(0)))) COUNT(x0, s(s(z0))) -> c8(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(s(z0)), s(s(inc(z0))))) COUNT(empty, s(x1)) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), s(x1), s(inc(x1)))) COUNT(node(z0, z1), s(x1)) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), s(x1), s(inc(x1)))) COUNT(empty, s(x1)) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), s(x1), s(inc(x1)))) COUNT(node(z0, z1), s(x1)) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), s(x1), s(inc(x1)))) COUNT(empty, s(x1)) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), s(x1), s(inc(x1)))) COUNT(node(z0, z1), s(x1)) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1)))) COUNT(empty, s(x1)) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), s(x1), s(inc(x1)))) COUNT(node(z0, z1), s(x1)) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1)))) COUNT(empty, s(x1)) -> c8(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), s(x1), s(inc(x1)))) COUNT(node(z0, z1), s(x1)) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1)))) COUNT(node(z0, z1), s(x1)) -> c8(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1)))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), empty)), x0, inc(x0))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), empty)), x0, inc(x0))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), empty)), x0, inc(x0))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x0, inc(x0))) COUNT(node(z0, z1), x2) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), z1)), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), z1)), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c8(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x2, inc(x2))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(empty, right(empty))), x0, inc(x0))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(empty), right(empty))), x0, inc(x0))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(empty), right(empty))), x0, inc(x0))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x0, inc(x0))) COUNT(node(node(z0, z1), x1), x2) -> c8(IF(isEmpty(node(node(z0, z1), x1)), isEmpty(left(node(node(z0, z1), x1))), right(node(node(z0, z1), x1)), node(left(left(node(node(z0, z1), x1))), node(z1, right(node(node(z0, z1), x1)))), x2, inc(x2))) COUNT(node(empty, x1), x2) -> c8(IF(isEmpty(node(empty, x1)), isEmpty(left(node(empty, x1))), right(node(empty, x1)), node(left(left(node(empty, x1))), node(empty, right(node(empty, x1)))), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(z0), right(node(z0, z1)))), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c8(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x2, inc(x2))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(empty, node(right(left(empty)), right(empty))), x0, inc(x0))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(empty), node(right(left(empty)), right(empty))), x0, inc(x0))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x0, inc(x0))) COUNT(node(node(z0, z1), x1), x2) -> c8(IF(isEmpty(node(node(z0, z1), x1)), isEmpty(left(node(node(z0, z1), x1))), right(node(node(z0, z1), x1)), node(z0, node(right(left(node(node(z0, z1), x1))), right(node(node(z0, z1), x1)))), x2, inc(x2))) COUNT(node(empty, x1), x2) -> c8(IF(isEmpty(node(empty, x1)), isEmpty(left(node(empty, x1))), right(node(empty, x1)), node(empty, node(right(left(node(empty, x1))), right(node(empty, x1)))), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c8(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), isEmpty(empty), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x0, inc(x0))) COUNT(node(z0, z1), x2) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(z0), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c8(IF(false, isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), true, right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x0, inc(x0))) COUNT(node(node(z0, z1), x1), x2) -> c8(IF(isEmpty(node(node(z0, z1), x1)), false, right(node(node(z0, z1), x1)), node(left(left(node(node(z0, z1), x1))), node(right(left(node(node(z0, z1), x1))), right(node(node(z0, z1), x1)))), x2, inc(x2))) COUNT(node(empty, x1), x2) -> c8(IF(isEmpty(node(empty, x1)), true, right(node(empty, x1)), node(left(left(node(empty, x1))), node(right(left(node(empty, x1))), right(node(empty, x1)))), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c8(IF(false, isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2))) COUNT(empty, 0) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), 0, s(0))) COUNT(node(z0, z1), 0) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), 0, s(0))) COUNT(empty, 0) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), 0, s(0))) COUNT(node(z0, z1), 0) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), 0, s(0))) COUNT(empty, 0) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), 0, s(0))) COUNT(node(z0, z1), 0) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), 0, s(0))) COUNT(empty, 0) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), 0, s(0))) COUNT(node(z0, z1), 0) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), 0, s(0))) COUNT(empty, 0) -> c9(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), 0, s(0))) COUNT(node(z0, z1), 0) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), 0, s(0))) COUNT(node(z0, z1), 0) -> c9(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), 0, s(0))) COUNT(x0, s(0)) -> c9(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(0), s(s(0)))) COUNT(x0, s(s(z0))) -> c9(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(s(z0)), s(s(inc(z0))))) COUNT(empty, s(x1)) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), s(x1), s(inc(x1)))) COUNT(node(z0, z1), s(x1)) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), s(x1), s(inc(x1)))) COUNT(empty, s(x1)) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), s(x1), s(inc(x1)))) COUNT(node(z0, z1), s(x1)) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), s(x1), s(inc(x1)))) COUNT(empty, s(x1)) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), s(x1), s(inc(x1)))) COUNT(node(z0, z1), s(x1)) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1)))) COUNT(empty, s(x1)) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), s(x1), s(inc(x1)))) COUNT(node(z0, z1), s(x1)) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1)))) COUNT(empty, s(x1)) -> c9(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), s(x1), s(inc(x1)))) COUNT(node(z0, z1), s(x1)) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1)))) COUNT(node(z0, z1), s(x1)) -> c9(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1)))) COUNT(empty, x0) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), empty)), x0, inc(x0))) COUNT(empty, x0) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), empty)), x0, inc(x0))) COUNT(empty, x0) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), empty)), x0, inc(x0))) COUNT(empty, x0) -> c9(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x0, inc(x0))) COUNT(node(z0, z1), x2) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), z1)), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), z1)), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c9(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x2, inc(x2))) COUNT(empty, x0) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(empty, right(empty))), x0, inc(x0))) COUNT(empty, x0) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(empty), right(empty))), x0, inc(x0))) COUNT(empty, x0) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(empty), right(empty))), x0, inc(x0))) COUNT(empty, x0) -> c9(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x0, inc(x0))) COUNT(node(node(z0, z1), x1), x2) -> c9(IF(isEmpty(node(node(z0, z1), x1)), isEmpty(left(node(node(z0, z1), x1))), right(node(node(z0, z1), x1)), node(left(left(node(node(z0, z1), x1))), node(z1, right(node(node(z0, z1), x1)))), x2, inc(x2))) COUNT(node(empty, x1), x2) -> c9(IF(isEmpty(node(empty, x1)), isEmpty(left(node(empty, x1))), right(node(empty, x1)), node(left(left(node(empty, x1))), node(empty, right(node(empty, x1)))), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(z0), right(node(z0, z1)))), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c9(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x2, inc(x2))) COUNT(empty, x0) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(empty, node(right(left(empty)), right(empty))), x0, inc(x0))) COUNT(empty, x0) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(empty), node(right(left(empty)), right(empty))), x0, inc(x0))) COUNT(empty, x0) -> c9(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x0, inc(x0))) COUNT(node(node(z0, z1), x1), x2) -> c9(IF(isEmpty(node(node(z0, z1), x1)), isEmpty(left(node(node(z0, z1), x1))), right(node(node(z0, z1), x1)), node(z0, node(right(left(node(node(z0, z1), x1))), right(node(node(z0, z1), x1)))), x2, inc(x2))) COUNT(node(empty, x1), x2) -> c9(IF(isEmpty(node(empty, x1)), isEmpty(left(node(empty, x1))), right(node(empty, x1)), node(empty, node(right(left(node(empty, x1))), right(node(empty, x1)))), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c9(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2))) COUNT(empty, x0) -> c9(IF(isEmpty(empty), isEmpty(empty), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x0, inc(x0))) COUNT(node(z0, z1), x2) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(z0), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c9(IF(false, isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2))) COUNT(empty, x0) -> c9(IF(isEmpty(empty), true, right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x0, inc(x0))) COUNT(node(node(z0, z1), x1), x2) -> c9(IF(isEmpty(node(node(z0, z1), x1)), false, right(node(node(z0, z1), x1)), node(left(left(node(node(z0, z1), x1))), node(right(left(node(node(z0, z1), x1))), right(node(node(z0, z1), x1)))), x2, inc(x2))) COUNT(node(empty, x1), x2) -> c9(IF(isEmpty(node(empty, x1)), true, right(node(empty, x1)), node(left(left(node(empty, x1))), node(right(left(node(empty, x1))), right(node(empty, x1)))), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c9(IF(false, isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2))) COUNT(empty, 0) -> c10(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), 0, s(0))) COUNT(node(z0, z1), 0) -> c10(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), 0, s(0))) COUNT(empty, 0) -> c10(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), 0, s(0))) COUNT(node(z0, z1), 0) -> c10(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), 0, s(0))) COUNT(empty, 0) -> c10(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), 0, s(0))) COUNT(node(z0, z1), 0) -> c10(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), 0, s(0))) COUNT(empty, 0) -> c10(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), 0, s(0))) COUNT(node(z0, z1), 0) -> c10(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), 0, s(0))) COUNT(empty, 0) -> c10(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), 0, s(0))) COUNT(node(z0, z1), 0) -> c10(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), 0, s(0))) COUNT(empty, 0) -> c10(IF(true, isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), 0, s(0))) COUNT(node(z0, z1), 0) -> c10(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), 0, s(0))) K tuples: COUNT(empty, x1) -> c14(INC(x1)) COUNT(x0, s(x1)) -> c14(INC(s(x1))) COUNT(empty, s(x1)) -> c14(INC(s(x1))) Defined Rule Symbols: isEmpty_1, left_1, right_1, inc_1 Defined Pair Symbols: INC_1, IF_6, COUNT_2 Compound Symbols: c7_1, c16_1, c17_1, c14_1, c10_1, c11_1, c12_1, c13_1, c14_2, c8_1, c9_1 ---------------------------------------- (239) CdtLeafRemovalProof (BOTH BOUNDS(ID, ID)) Removed 1 trailing nodes: COUNT(empty, 0) -> c10(IF(true, isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), 0, s(0))) ---------------------------------------- (240) Obligation: Complexity Dependency Tuples Problem Rules: isEmpty(empty) -> true isEmpty(node(z0, z1)) -> false left(empty) -> empty left(node(z0, z1)) -> z0 right(empty) -> empty right(node(z0, z1)) -> z1 inc(0) -> s(0) inc(s(z0)) -> s(inc(z0)) Tuples: INC(s(z0)) -> c7(INC(z0)) IF(false, false, z0, z1, z2, z3) -> c16(COUNT(z1, z2)) IF(false, true, z0, z1, z2, z3) -> c17(COUNT(z0, z3)) COUNT(empty, x1) -> c14(INC(x1)) COUNT(x0, s(z0)) -> c10(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0)))) COUNT(empty, x1) -> c10(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1))) COUNT(empty, x1) -> c10(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c10(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c10(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c10(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, 0) -> c11(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(x0, s(z0)) -> c11(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0)))) COUNT(empty, x1) -> c11(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1))) COUNT(empty, x1) -> c11(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c11(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c11(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c11(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, 0) -> c12(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(x0, s(z0)) -> c12(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0)))) COUNT(empty, x1) -> c12(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1))) COUNT(empty, x1) -> c12(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c12(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c12(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c12(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, 0) -> c13(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(x0, s(z0)) -> c13(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0)))) COUNT(empty, x1) -> c13(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1))) COUNT(empty, x1) -> c13(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c13(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c13(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c13(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, s(0)) -> c14(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(0), s(s(0))), INC(s(0))) COUNT(x0, s(s(z0))) -> c14(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(s(z0)), s(s(inc(z0)))), INC(s(s(z0)))) COUNT(empty, s(x1)) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), s(x1), s(inc(x1))), INC(s(x1))) COUNT(empty, s(x1)) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(empty, s(x1)) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(empty, s(x1)) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(empty, s(x1)) -> c14(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(x0, s(x1)) -> c14(INC(s(x1))) COUNT(empty, s(x1)) -> c14(INC(s(x1))) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), empty)), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), empty)), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), empty)), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x0, inc(x0)), INC(x0)) COUNT(empty, 0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), 0, s(0))) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), z1)), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), z1)), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x2, inc(x2)), INC(x2)) COUNT(node(x0, x1), 0) -> c14(IF(isEmpty(node(x0, x1)), isEmpty(left(node(x0, x1))), right(node(x0, x1)), node(left(left(node(x0, x1))), node(right(left(node(x0, x1))), x1)), 0, s(0))) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(empty, right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(empty), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(empty), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, 0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), 0, s(0))) COUNT(node(node(z0, z1), x1), x2) -> c14(IF(isEmpty(node(node(z0, z1), x1)), isEmpty(left(node(node(z0, z1), x1))), right(node(node(z0, z1), x1)), node(left(left(node(node(z0, z1), x1))), node(z1, right(node(node(z0, z1), x1)))), x2, inc(x2)), INC(x2)) COUNT(node(empty, x1), x2) -> c14(IF(isEmpty(node(empty, x1)), isEmpty(left(node(empty, x1))), right(node(empty, x1)), node(left(left(node(empty, x1))), node(empty, right(node(empty, x1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(z0), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(x0, x1), 0) -> c14(IF(isEmpty(node(x0, x1)), isEmpty(left(node(x0, x1))), right(node(x0, x1)), node(left(left(node(x0, x1))), node(right(x0), right(node(x0, x1)))), 0, s(0))) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(empty, node(right(left(empty)), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(empty), node(right(left(empty)), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, 0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), 0, s(0))) COUNT(node(node(z0, z1), x1), x2) -> c14(IF(isEmpty(node(node(z0, z1), x1)), isEmpty(left(node(node(z0, z1), x1))), right(node(node(z0, z1), x1)), node(z0, node(right(left(node(node(z0, z1), x1))), right(node(node(z0, z1), x1)))), x2, inc(x2)), INC(x2)) COUNT(node(empty, x1), x2) -> c14(IF(isEmpty(node(empty, x1)), isEmpty(left(node(empty, x1))), right(node(empty, x1)), node(empty, node(right(left(node(empty, x1))), right(node(empty, x1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(x0, x1), 0) -> c14(IF(isEmpty(node(x0, x1)), isEmpty(left(node(x0, x1))), right(node(x0, x1)), node(left(x0), node(right(left(node(x0, x1))), right(node(x0, x1)))), 0, s(0))) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(empty), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, 0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), 0, s(0))) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(z0), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(false, isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(x0, x1), 0) -> c14(IF(isEmpty(node(x0, x1)), isEmpty(left(node(x0, x1))), x1, node(left(left(node(x0, x1))), node(right(left(node(x0, x1))), right(node(x0, x1)))), 0, s(0))) COUNT(empty, x0) -> c14(IF(isEmpty(empty), true, right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, 0) -> c14(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), 0, s(0))) COUNT(node(node(z0, z1), x1), x2) -> c14(IF(isEmpty(node(node(z0, z1), x1)), false, right(node(node(z0, z1), x1)), node(left(left(node(node(z0, z1), x1))), node(right(left(node(node(z0, z1), x1))), right(node(node(z0, z1), x1)))), x2, inc(x2)), INC(x2)) COUNT(node(empty, x1), x2) -> c14(IF(isEmpty(node(empty, x1)), true, right(node(empty, x1)), node(left(left(node(empty, x1))), node(right(left(node(empty, x1))), right(node(empty, x1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(false, isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(x0, x1), 0) -> c14(IF(isEmpty(node(x0, x1)), isEmpty(x0), right(node(x0, x1)), node(left(left(node(x0, x1))), node(right(left(node(x0, x1))), right(node(x0, x1)))), 0, s(0))) COUNT(node(x0, x1), 0) -> c14(IF(false, isEmpty(left(node(x0, x1))), right(node(x0, x1)), node(left(left(node(x0, x1))), node(right(left(node(x0, x1))), right(node(x0, x1)))), 0, s(0))) COUNT(empty, 0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), 0, s(0))) COUNT(node(z0, z1), 0) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), 0, s(0))) COUNT(empty, 0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), 0, s(0))) COUNT(node(z0, z1), 0) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), 0, s(0))) COUNT(empty, 0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), 0, s(0))) COUNT(node(z0, z1), 0) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), 0, s(0))) COUNT(empty, 0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), 0, s(0))) COUNT(node(z0, z1), 0) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), 0, s(0))) COUNT(empty, 0) -> c8(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), 0, s(0))) COUNT(node(z0, z1), 0) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), 0, s(0))) COUNT(node(z0, z1), 0) -> c8(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), 0, s(0))) COUNT(x0, s(0)) -> c8(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(0), s(s(0)))) COUNT(x0, s(s(z0))) -> c8(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(s(z0)), s(s(inc(z0))))) COUNT(empty, s(x1)) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), s(x1), s(inc(x1)))) COUNT(node(z0, z1), s(x1)) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), s(x1), s(inc(x1)))) COUNT(empty, s(x1)) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), s(x1), s(inc(x1)))) COUNT(node(z0, z1), s(x1)) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), s(x1), s(inc(x1)))) COUNT(empty, s(x1)) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), s(x1), s(inc(x1)))) COUNT(node(z0, z1), s(x1)) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1)))) COUNT(empty, s(x1)) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), s(x1), s(inc(x1)))) COUNT(node(z0, z1), s(x1)) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1)))) COUNT(empty, s(x1)) -> c8(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), s(x1), s(inc(x1)))) COUNT(node(z0, z1), s(x1)) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1)))) COUNT(node(z0, z1), s(x1)) -> c8(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1)))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), empty)), x0, inc(x0))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), empty)), x0, inc(x0))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), empty)), x0, inc(x0))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x0, inc(x0))) COUNT(node(z0, z1), x2) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), z1)), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), z1)), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c8(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x2, inc(x2))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(empty, right(empty))), x0, inc(x0))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(empty), right(empty))), x0, inc(x0))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(empty), right(empty))), x0, inc(x0))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x0, inc(x0))) COUNT(node(node(z0, z1), x1), x2) -> c8(IF(isEmpty(node(node(z0, z1), x1)), isEmpty(left(node(node(z0, z1), x1))), right(node(node(z0, z1), x1)), node(left(left(node(node(z0, z1), x1))), node(z1, right(node(node(z0, z1), x1)))), x2, inc(x2))) COUNT(node(empty, x1), x2) -> c8(IF(isEmpty(node(empty, x1)), isEmpty(left(node(empty, x1))), right(node(empty, x1)), node(left(left(node(empty, x1))), node(empty, right(node(empty, x1)))), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(z0), right(node(z0, z1)))), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c8(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x2, inc(x2))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(empty, node(right(left(empty)), right(empty))), x0, inc(x0))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(empty), node(right(left(empty)), right(empty))), x0, inc(x0))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x0, inc(x0))) COUNT(node(node(z0, z1), x1), x2) -> c8(IF(isEmpty(node(node(z0, z1), x1)), isEmpty(left(node(node(z0, z1), x1))), right(node(node(z0, z1), x1)), node(z0, node(right(left(node(node(z0, z1), x1))), right(node(node(z0, z1), x1)))), x2, inc(x2))) COUNT(node(empty, x1), x2) -> c8(IF(isEmpty(node(empty, x1)), isEmpty(left(node(empty, x1))), right(node(empty, x1)), node(empty, node(right(left(node(empty, x1))), right(node(empty, x1)))), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c8(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), isEmpty(empty), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x0, inc(x0))) COUNT(node(z0, z1), x2) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(z0), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c8(IF(false, isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), true, right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x0, inc(x0))) COUNT(node(node(z0, z1), x1), x2) -> c8(IF(isEmpty(node(node(z0, z1), x1)), false, right(node(node(z0, z1), x1)), node(left(left(node(node(z0, z1), x1))), node(right(left(node(node(z0, z1), x1))), right(node(node(z0, z1), x1)))), x2, inc(x2))) COUNT(node(empty, x1), x2) -> c8(IF(isEmpty(node(empty, x1)), true, right(node(empty, x1)), node(left(left(node(empty, x1))), node(right(left(node(empty, x1))), right(node(empty, x1)))), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c8(IF(false, isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2))) COUNT(empty, 0) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), 0, s(0))) COUNT(node(z0, z1), 0) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), 0, s(0))) COUNT(empty, 0) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), 0, s(0))) COUNT(node(z0, z1), 0) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), 0, s(0))) COUNT(empty, 0) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), 0, s(0))) COUNT(node(z0, z1), 0) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), 0, s(0))) COUNT(empty, 0) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), 0, s(0))) COUNT(node(z0, z1), 0) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), 0, s(0))) COUNT(empty, 0) -> c9(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), 0, s(0))) COUNT(node(z0, z1), 0) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), 0, s(0))) COUNT(node(z0, z1), 0) -> c9(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), 0, s(0))) COUNT(x0, s(0)) -> c9(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(0), s(s(0)))) COUNT(x0, s(s(z0))) -> c9(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(s(z0)), s(s(inc(z0))))) COUNT(empty, s(x1)) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), s(x1), s(inc(x1)))) COUNT(node(z0, z1), s(x1)) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), s(x1), s(inc(x1)))) COUNT(empty, s(x1)) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), s(x1), s(inc(x1)))) COUNT(node(z0, z1), s(x1)) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), s(x1), s(inc(x1)))) COUNT(empty, s(x1)) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), s(x1), s(inc(x1)))) COUNT(node(z0, z1), s(x1)) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1)))) COUNT(empty, s(x1)) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), s(x1), s(inc(x1)))) COUNT(node(z0, z1), s(x1)) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1)))) COUNT(empty, s(x1)) -> c9(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), s(x1), s(inc(x1)))) COUNT(node(z0, z1), s(x1)) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1)))) COUNT(node(z0, z1), s(x1)) -> c9(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1)))) COUNT(empty, x0) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), empty)), x0, inc(x0))) COUNT(empty, x0) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), empty)), x0, inc(x0))) COUNT(empty, x0) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), empty)), x0, inc(x0))) COUNT(empty, x0) -> c9(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x0, inc(x0))) COUNT(node(z0, z1), x2) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), z1)), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), z1)), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c9(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x2, inc(x2))) COUNT(empty, x0) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(empty, right(empty))), x0, inc(x0))) COUNT(empty, x0) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(empty), right(empty))), x0, inc(x0))) COUNT(empty, x0) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(empty), right(empty))), x0, inc(x0))) COUNT(empty, x0) -> c9(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x0, inc(x0))) COUNT(node(node(z0, z1), x1), x2) -> c9(IF(isEmpty(node(node(z0, z1), x1)), isEmpty(left(node(node(z0, z1), x1))), right(node(node(z0, z1), x1)), node(left(left(node(node(z0, z1), x1))), node(z1, right(node(node(z0, z1), x1)))), x2, inc(x2))) COUNT(node(empty, x1), x2) -> c9(IF(isEmpty(node(empty, x1)), isEmpty(left(node(empty, x1))), right(node(empty, x1)), node(left(left(node(empty, x1))), node(empty, right(node(empty, x1)))), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(z0), right(node(z0, z1)))), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c9(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x2, inc(x2))) COUNT(empty, x0) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(empty, node(right(left(empty)), right(empty))), x0, inc(x0))) COUNT(empty, x0) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(empty), node(right(left(empty)), right(empty))), x0, inc(x0))) COUNT(empty, x0) -> c9(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x0, inc(x0))) COUNT(node(node(z0, z1), x1), x2) -> c9(IF(isEmpty(node(node(z0, z1), x1)), isEmpty(left(node(node(z0, z1), x1))), right(node(node(z0, z1), x1)), node(z0, node(right(left(node(node(z0, z1), x1))), right(node(node(z0, z1), x1)))), x2, inc(x2))) COUNT(node(empty, x1), x2) -> c9(IF(isEmpty(node(empty, x1)), isEmpty(left(node(empty, x1))), right(node(empty, x1)), node(empty, node(right(left(node(empty, x1))), right(node(empty, x1)))), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c9(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2))) COUNT(empty, x0) -> c9(IF(isEmpty(empty), isEmpty(empty), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x0, inc(x0))) COUNT(node(z0, z1), x2) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(z0), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c9(IF(false, isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2))) COUNT(empty, x0) -> c9(IF(isEmpty(empty), true, right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x0, inc(x0))) COUNT(node(node(z0, z1), x1), x2) -> c9(IF(isEmpty(node(node(z0, z1), x1)), false, right(node(node(z0, z1), x1)), node(left(left(node(node(z0, z1), x1))), node(right(left(node(node(z0, z1), x1))), right(node(node(z0, z1), x1)))), x2, inc(x2))) COUNT(node(empty, x1), x2) -> c9(IF(isEmpty(node(empty, x1)), true, right(node(empty, x1)), node(left(left(node(empty, x1))), node(right(left(node(empty, x1))), right(node(empty, x1)))), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c9(IF(false, isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2))) COUNT(empty, 0) -> c10(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), 0, s(0))) COUNT(node(z0, z1), 0) -> c10(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), 0, s(0))) COUNT(empty, 0) -> c10(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), 0, s(0))) COUNT(node(z0, z1), 0) -> c10(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), 0, s(0))) COUNT(empty, 0) -> c10(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), 0, s(0))) COUNT(node(z0, z1), 0) -> c10(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), 0, s(0))) COUNT(empty, 0) -> c10(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), 0, s(0))) COUNT(node(z0, z1), 0) -> c10(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), 0, s(0))) COUNT(empty, 0) -> c10(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), 0, s(0))) COUNT(node(z0, z1), 0) -> c10(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), 0, s(0))) COUNT(node(z0, z1), 0) -> c10(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), 0, s(0))) S tuples: INC(s(z0)) -> c7(INC(z0)) IF(false, false, z0, z1, z2, z3) -> c16(COUNT(z1, z2)) IF(false, true, z0, z1, z2, z3) -> c17(COUNT(z0, z3)) COUNT(x0, s(z0)) -> c10(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0)))) COUNT(empty, x1) -> c10(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1))) COUNT(empty, x1) -> c10(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c10(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c10(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c10(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c10(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, 0) -> c11(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(x0, s(z0)) -> c11(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0)))) COUNT(empty, x1) -> c11(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1))) COUNT(empty, x1) -> c11(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c11(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c11(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c11(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c11(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, 0) -> c12(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(x0, s(z0)) -> c12(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0)))) COUNT(empty, x1) -> c12(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1))) COUNT(empty, x1) -> c12(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c12(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c12(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c12(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c12(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, 0) -> c13(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), 0, s(0))) COUNT(x0, s(z0)) -> c13(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(z0), s(inc(z0)))) COUNT(empty, x1) -> c13(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x1, inc(x1))) COUNT(empty, x1) -> c13(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c13(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c13(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(empty, x1) -> c13(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(node(z0, z1), x1) -> c13(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x1, inc(x1))) COUNT(x0, s(0)) -> c14(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(0), s(s(0))), INC(s(0))) COUNT(x0, s(s(z0))) -> c14(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(s(z0)), s(s(inc(z0)))), INC(s(s(z0)))) COUNT(empty, s(x1)) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), s(x1), s(inc(x1))), INC(s(x1))) COUNT(empty, s(x1)) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(empty, s(x1)) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(empty, s(x1)) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(empty, s(x1)) -> c14(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(node(z0, z1), s(x1)) -> c14(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1))), INC(s(x1))) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), empty)), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), empty)), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), empty)), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x0, inc(x0)), INC(x0)) COUNT(empty, 0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), 0, s(0))) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), z1)), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), z1)), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x2, inc(x2)), INC(x2)) COUNT(node(x0, x1), 0) -> c14(IF(isEmpty(node(x0, x1)), isEmpty(left(node(x0, x1))), right(node(x0, x1)), node(left(left(node(x0, x1))), node(right(left(node(x0, x1))), x1)), 0, s(0))) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(empty, right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(empty), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(empty), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, 0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), 0, s(0))) COUNT(node(node(z0, z1), x1), x2) -> c14(IF(isEmpty(node(node(z0, z1), x1)), isEmpty(left(node(node(z0, z1), x1))), right(node(node(z0, z1), x1)), node(left(left(node(node(z0, z1), x1))), node(z1, right(node(node(z0, z1), x1)))), x2, inc(x2)), INC(x2)) COUNT(node(empty, x1), x2) -> c14(IF(isEmpty(node(empty, x1)), isEmpty(left(node(empty, x1))), right(node(empty, x1)), node(left(left(node(empty, x1))), node(empty, right(node(empty, x1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(z0), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(x0, x1), 0) -> c14(IF(isEmpty(node(x0, x1)), isEmpty(left(node(x0, x1))), right(node(x0, x1)), node(left(left(node(x0, x1))), node(right(x0), right(node(x0, x1)))), 0, s(0))) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(empty, node(right(left(empty)), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(empty), node(right(left(empty)), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, 0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), 0, s(0))) COUNT(node(node(z0, z1), x1), x2) -> c14(IF(isEmpty(node(node(z0, z1), x1)), isEmpty(left(node(node(z0, z1), x1))), right(node(node(z0, z1), x1)), node(z0, node(right(left(node(node(z0, z1), x1))), right(node(node(z0, z1), x1)))), x2, inc(x2)), INC(x2)) COUNT(node(empty, x1), x2) -> c14(IF(isEmpty(node(empty, x1)), isEmpty(left(node(empty, x1))), right(node(empty, x1)), node(empty, node(right(left(node(empty, x1))), right(node(empty, x1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(x0, x1), 0) -> c14(IF(isEmpty(node(x0, x1)), isEmpty(left(node(x0, x1))), right(node(x0, x1)), node(left(x0), node(right(left(node(x0, x1))), right(node(x0, x1)))), 0, s(0))) COUNT(empty, x0) -> c14(IF(isEmpty(empty), isEmpty(empty), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, 0) -> c14(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), 0, s(0))) COUNT(node(z0, z1), x2) -> c14(IF(isEmpty(node(z0, z1)), isEmpty(z0), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(false, isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(x0, x1), 0) -> c14(IF(isEmpty(node(x0, x1)), isEmpty(left(node(x0, x1))), x1, node(left(left(node(x0, x1))), node(right(left(node(x0, x1))), right(node(x0, x1)))), 0, s(0))) COUNT(empty, x0) -> c14(IF(isEmpty(empty), true, right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x0, inc(x0)), INC(x0)) COUNT(empty, 0) -> c14(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), 0, s(0))) COUNT(node(node(z0, z1), x1), x2) -> c14(IF(isEmpty(node(node(z0, z1), x1)), false, right(node(node(z0, z1), x1)), node(left(left(node(node(z0, z1), x1))), node(right(left(node(node(z0, z1), x1))), right(node(node(z0, z1), x1)))), x2, inc(x2)), INC(x2)) COUNT(node(empty, x1), x2) -> c14(IF(isEmpty(node(empty, x1)), true, right(node(empty, x1)), node(left(left(node(empty, x1))), node(right(left(node(empty, x1))), right(node(empty, x1)))), x2, inc(x2)), INC(x2)) COUNT(node(z0, z1), x2) -> c14(IF(false, isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2)), INC(x2)) COUNT(node(x0, x1), 0) -> c14(IF(isEmpty(node(x0, x1)), isEmpty(x0), right(node(x0, x1)), node(left(left(node(x0, x1))), node(right(left(node(x0, x1))), right(node(x0, x1)))), 0, s(0))) COUNT(node(x0, x1), 0) -> c14(IF(false, isEmpty(left(node(x0, x1))), right(node(x0, x1)), node(left(left(node(x0, x1))), node(right(left(node(x0, x1))), right(node(x0, x1)))), 0, s(0))) COUNT(empty, 0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), 0, s(0))) COUNT(node(z0, z1), 0) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), 0, s(0))) COUNT(empty, 0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), 0, s(0))) COUNT(node(z0, z1), 0) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), 0, s(0))) COUNT(empty, 0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), 0, s(0))) COUNT(node(z0, z1), 0) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), 0, s(0))) COUNT(empty, 0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), 0, s(0))) COUNT(node(z0, z1), 0) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), 0, s(0))) COUNT(empty, 0) -> c8(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), 0, s(0))) COUNT(node(z0, z1), 0) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), 0, s(0))) COUNT(node(z0, z1), 0) -> c8(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), 0, s(0))) COUNT(x0, s(0)) -> c8(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(0), s(s(0)))) COUNT(x0, s(s(z0))) -> c8(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(s(z0)), s(s(inc(z0))))) COUNT(empty, s(x1)) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), s(x1), s(inc(x1)))) COUNT(node(z0, z1), s(x1)) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), s(x1), s(inc(x1)))) COUNT(empty, s(x1)) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), s(x1), s(inc(x1)))) COUNT(node(z0, z1), s(x1)) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), s(x1), s(inc(x1)))) COUNT(empty, s(x1)) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), s(x1), s(inc(x1)))) COUNT(node(z0, z1), s(x1)) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1)))) COUNT(empty, s(x1)) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), s(x1), s(inc(x1)))) COUNT(node(z0, z1), s(x1)) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1)))) COUNT(empty, s(x1)) -> c8(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), s(x1), s(inc(x1)))) COUNT(node(z0, z1), s(x1)) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1)))) COUNT(node(z0, z1), s(x1)) -> c8(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1)))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), empty)), x0, inc(x0))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), empty)), x0, inc(x0))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), empty)), x0, inc(x0))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x0, inc(x0))) COUNT(node(z0, z1), x2) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), z1)), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), z1)), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c8(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x2, inc(x2))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(empty, right(empty))), x0, inc(x0))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(empty), right(empty))), x0, inc(x0))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(empty), right(empty))), x0, inc(x0))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x0, inc(x0))) COUNT(node(node(z0, z1), x1), x2) -> c8(IF(isEmpty(node(node(z0, z1), x1)), isEmpty(left(node(node(z0, z1), x1))), right(node(node(z0, z1), x1)), node(left(left(node(node(z0, z1), x1))), node(z1, right(node(node(z0, z1), x1)))), x2, inc(x2))) COUNT(node(empty, x1), x2) -> c8(IF(isEmpty(node(empty, x1)), isEmpty(left(node(empty, x1))), right(node(empty, x1)), node(left(left(node(empty, x1))), node(empty, right(node(empty, x1)))), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(z0), right(node(z0, z1)))), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c8(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x2, inc(x2))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(empty, node(right(left(empty)), right(empty))), x0, inc(x0))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(empty), node(right(left(empty)), right(empty))), x0, inc(x0))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x0, inc(x0))) COUNT(node(node(z0, z1), x1), x2) -> c8(IF(isEmpty(node(node(z0, z1), x1)), isEmpty(left(node(node(z0, z1), x1))), right(node(node(z0, z1), x1)), node(z0, node(right(left(node(node(z0, z1), x1))), right(node(node(z0, z1), x1)))), x2, inc(x2))) COUNT(node(empty, x1), x2) -> c8(IF(isEmpty(node(empty, x1)), isEmpty(left(node(empty, x1))), right(node(empty, x1)), node(empty, node(right(left(node(empty, x1))), right(node(empty, x1)))), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c8(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), isEmpty(empty), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x0, inc(x0))) COUNT(node(z0, z1), x2) -> c8(IF(isEmpty(node(z0, z1)), isEmpty(z0), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c8(IF(false, isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2))) COUNT(empty, x0) -> c8(IF(isEmpty(empty), true, right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x0, inc(x0))) COUNT(node(node(z0, z1), x1), x2) -> c8(IF(isEmpty(node(node(z0, z1), x1)), false, right(node(node(z0, z1), x1)), node(left(left(node(node(z0, z1), x1))), node(right(left(node(node(z0, z1), x1))), right(node(node(z0, z1), x1)))), x2, inc(x2))) COUNT(node(empty, x1), x2) -> c8(IF(isEmpty(node(empty, x1)), true, right(node(empty, x1)), node(left(left(node(empty, x1))), node(right(left(node(empty, x1))), right(node(empty, x1)))), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c8(IF(false, isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2))) COUNT(empty, 0) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), 0, s(0))) COUNT(node(z0, z1), 0) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), 0, s(0))) COUNT(empty, 0) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), 0, s(0))) COUNT(node(z0, z1), 0) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), 0, s(0))) COUNT(empty, 0) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), 0, s(0))) COUNT(node(z0, z1), 0) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), 0, s(0))) COUNT(empty, 0) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), 0, s(0))) COUNT(node(z0, z1), 0) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), 0, s(0))) COUNT(empty, 0) -> c9(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), 0, s(0))) COUNT(node(z0, z1), 0) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), 0, s(0))) COUNT(node(z0, z1), 0) -> c9(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), 0, s(0))) COUNT(x0, s(0)) -> c9(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(0), s(s(0)))) COUNT(x0, s(s(z0))) -> c9(IF(isEmpty(x0), isEmpty(left(x0)), right(x0), node(left(left(x0)), node(right(left(x0)), right(x0))), s(s(z0)), s(s(inc(z0))))) COUNT(empty, s(x1)) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), s(x1), s(inc(x1)))) COUNT(node(z0, z1), s(x1)) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), s(x1), s(inc(x1)))) COUNT(empty, s(x1)) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), s(x1), s(inc(x1)))) COUNT(node(z0, z1), s(x1)) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), s(x1), s(inc(x1)))) COUNT(empty, s(x1)) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), s(x1), s(inc(x1)))) COUNT(node(z0, z1), s(x1)) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1)))) COUNT(empty, s(x1)) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), s(x1), s(inc(x1)))) COUNT(node(z0, z1), s(x1)) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1)))) COUNT(empty, s(x1)) -> c9(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), s(x1), s(inc(x1)))) COUNT(node(z0, z1), s(x1)) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1)))) COUNT(node(z0, z1), s(x1)) -> c9(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), s(x1), s(inc(x1)))) COUNT(empty, x0) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), empty)), x0, inc(x0))) COUNT(empty, x0) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), empty)), x0, inc(x0))) COUNT(empty, x0) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), empty)), x0, inc(x0))) COUNT(empty, x0) -> c9(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), x0, inc(x0))) COUNT(node(z0, z1), x2) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), z1)), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), z1)), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c9(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), x2, inc(x2))) COUNT(empty, x0) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(empty, right(empty))), x0, inc(x0))) COUNT(empty, x0) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(empty), right(empty))), x0, inc(x0))) COUNT(empty, x0) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(empty), right(empty))), x0, inc(x0))) COUNT(empty, x0) -> c9(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(empty), right(empty))), x0, inc(x0))) COUNT(node(node(z0, z1), x1), x2) -> c9(IF(isEmpty(node(node(z0, z1), x1)), isEmpty(left(node(node(z0, z1), x1))), right(node(node(z0, z1), x1)), node(left(left(node(node(z0, z1), x1))), node(z1, right(node(node(z0, z1), x1)))), x2, inc(x2))) COUNT(node(empty, x1), x2) -> c9(IF(isEmpty(node(empty, x1)), isEmpty(left(node(empty, x1))), right(node(empty, x1)), node(left(left(node(empty, x1))), node(empty, right(node(empty, x1)))), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(z0), right(node(z0, z1)))), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c9(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), x2, inc(x2))) COUNT(empty, x0) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(empty, node(right(left(empty)), right(empty))), x0, inc(x0))) COUNT(empty, x0) -> c9(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(empty), node(right(left(empty)), right(empty))), x0, inc(x0))) COUNT(empty, x0) -> c9(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(empty), node(right(left(empty)), right(empty))), x0, inc(x0))) COUNT(node(node(z0, z1), x1), x2) -> c9(IF(isEmpty(node(node(z0, z1), x1)), isEmpty(left(node(node(z0, z1), x1))), right(node(node(z0, z1), x1)), node(z0, node(right(left(node(node(z0, z1), x1))), right(node(node(z0, z1), x1)))), x2, inc(x2))) COUNT(node(empty, x1), x2) -> c9(IF(isEmpty(node(empty, x1)), isEmpty(left(node(empty, x1))), right(node(empty, x1)), node(empty, node(right(left(node(empty, x1))), right(node(empty, x1)))), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c9(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2))) COUNT(empty, x0) -> c9(IF(isEmpty(empty), isEmpty(empty), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), x0, inc(x0))) COUNT(node(z0, z1), x2) -> c9(IF(isEmpty(node(z0, z1)), isEmpty(z0), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c9(IF(false, isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2))) COUNT(empty, x0) -> c9(IF(isEmpty(empty), true, right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), x0, inc(x0))) COUNT(node(node(z0, z1), x1), x2) -> c9(IF(isEmpty(node(node(z0, z1), x1)), false, right(node(node(z0, z1), x1)), node(left(left(node(node(z0, z1), x1))), node(right(left(node(node(z0, z1), x1))), right(node(node(z0, z1), x1)))), x2, inc(x2))) COUNT(node(empty, x1), x2) -> c9(IF(isEmpty(node(empty, x1)), true, right(node(empty, x1)), node(left(left(node(empty, x1))), node(right(left(node(empty, x1))), right(node(empty, x1)))), x2, inc(x2))) COUNT(node(z0, z1), x2) -> c9(IF(false, isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), x2, inc(x2))) COUNT(empty, 0) -> c10(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(left(empty)), empty)), 0, s(0))) COUNT(node(z0, z1), 0) -> c10(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), z1)), 0, s(0))) COUNT(empty, 0) -> c10(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(left(empty)), node(right(empty), right(empty))), 0, s(0))) COUNT(node(z0, z1), 0) -> c10(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(z0), right(node(z0, z1)))), 0, s(0))) COUNT(empty, 0) -> c10(IF(isEmpty(empty), isEmpty(left(empty)), right(empty), node(left(empty), node(right(left(empty)), right(empty))), 0, s(0))) COUNT(node(z0, z1), 0) -> c10(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(z0), node(right(left(node(z0, z1))), right(node(z0, z1)))), 0, s(0))) COUNT(empty, 0) -> c10(IF(isEmpty(empty), isEmpty(left(empty)), empty, node(left(left(empty)), node(right(left(empty)), right(empty))), 0, s(0))) COUNT(node(z0, z1), 0) -> c10(IF(isEmpty(node(z0, z1)), isEmpty(left(node(z0, z1))), z1, node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), 0, s(0))) COUNT(empty, 0) -> c10(IF(isEmpty(empty), isEmpty(empty), right(empty), node(left(left(empty)), node(right(left(empty)), right(empty))), 0, s(0))) COUNT(node(z0, z1), 0) -> c10(IF(isEmpty(node(z0, z1)), isEmpty(z0), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), 0, s(0))) COUNT(node(z0, z1), 0) -> c10(IF(false, isEmpty(left(node(z0, z1))), right(node(z0, z1)), node(left(left(node(z0, z1))), node(right(left(node(z0, z1))), right(node(z0, z1)))), 0, s(0))) K tuples: COUNT(empty, x1) -> c14(INC(x1)) COUNT(x0, s(x1)) -> c14(INC(s(x1))) COUNT(empty, s(x1)) -> c14(INC(s(x1))) Defined Rule Symbols: isEmpty_1, left_1, right_1, inc_1 Defined Pair Symbols: INC_1, IF_6, COUNT_2 Compound Symbols: c7_1, c16_1, c17_1, c14_1, c10_1, c11_1, c12_1, c13_1, c14_2, c8_1, c9_1