KILLED proof of input_GjSulwUKOn.trs # AProVE Commit ID: aff8ecad908e01718a4c36e68d2e55d5e0f16e15 fuhs 20220216 unpublished The Runtime Complexity (parallel-innermost) of the given CpxTRS could be proven to be BOUNDS(1, INF).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) SimplificationProof [BOTH BOUNDS(ID, ID), 0 ms] (16) CpxRNTS (17) CpxRntsAnalysisOrderProof [BOTH BOUNDS(ID, ID), 0 ms] (18) CpxRNTS (19) ResultPropagationProof [UPPER BOUND(ID), 0 ms] (20) CpxRNTS (21) IntTrsBoundProof [UPPER BOUND(ID), 900 ms] (22) CpxRNTS (23) IntTrsBoundProof [UPPER BOUND(ID), 405 ms] (24) CpxRNTS (25) CompletionProof [UPPER BOUND(ID), 0 ms] (26) CpxTypedWeightedCompleteTrs (27) CpxTypedWeightedTrsToRntsProof [UPPER BOUND(ID), 0 ms] (28) CpxRNTS (29) CpxTrsToCdtProof [UPPER BOUND(ID), 0 ms] (30) CdtProblem (31) CdtUsableRulesProof [BOTH BOUNDS(ID, ID), 0 ms] (32) CdtProblem (33) CdtRuleRemovalProof [UPPER BOUND(ADD(n^1)), 17 ms] (34) CdtProblem (35) CdtForwardInstantiationProof [BOTH BOUNDS(ID, ID), 0 ms] (36) CdtProblem (37) CdtForwardInstantiationProof [BOTH BOUNDS(ID, ID), 0 ms] (38) CdtProblem (39) CdtForwardInstantiationProof [BOTH BOUNDS(ID, ID), 0 ms] (40) CdtProblem (41) CdtForwardInstantiationProof [BOTH BOUNDS(ID, ID), 0 ms] (42) CdtProblem (43) CdtForwardInstantiationProof [BOTH BOUNDS(ID, ID), 0 ms] (44) CdtProblem (45) CdtForwardInstantiationProof [BOTH BOUNDS(ID, ID), 9 ms] (46) CdtProblem (47) CdtForwardInstantiationProof [BOTH BOUNDS(ID, ID), 0 ms] (48) CdtProblem (49) CdtForwardInstantiationProof [BOTH BOUNDS(ID, ID), 45 ms] (50) CdtProblem (51) CdtForwardInstantiationProof [BOTH BOUNDS(ID, ID), 0 ms] (52) CdtProblem (53) CdtForwardInstantiationProof [BOTH BOUNDS(ID, ID), 88 ms] (54) CdtProblem (55) CdtForwardInstantiationProof [BOTH BOUNDS(ID, ID), 248 ms] (56) CdtProblem (57) CdtForwardInstantiationProof [BOTH BOUNDS(ID, ID), 0 ms] (58) CdtProblem (59) CdtForwardInstantiationProof [BOTH BOUNDS(ID, ID), 292 ms] (60) CdtProblem (61) CdtForwardInstantiationProof [BOTH BOUNDS(ID, ID), 582 ms] (62) CdtProblem (63) CdtForwardInstantiationProof [BOTH BOUNDS(ID, ID), 861 ms] (64) CdtProblem (65) CdtForwardInstantiationProof [BOTH BOUNDS(ID, ID), 35 ms] (66) CdtProblem (67) CdtForwardInstantiationProof [BOTH BOUNDS(ID, ID), 1960 ms] (68) CdtProblem (69) CdtForwardInstantiationProof [BOTH BOUNDS(ID, ID), 40 ms] (70) CdtProblem (71) CdtForwardInstantiationProof [BOTH BOUNDS(ID, ID), 2740 ms] (72) CdtProblem (73) CdtForwardInstantiationProof [BOTH BOUNDS(ID, ID), 5445 ms] (74) CdtProblem (75) CdtForwardInstantiationProof [BOTH BOUNDS(ID, ID), 9670 ms] (76) CdtProblem (77) CdtForwardInstantiationProof [BOTH BOUNDS(ID, ID), 170 ms] (78) CdtProblem (79) CdtForwardInstantiationProof [BOTH BOUNDS(ID, ID), 13.1 s] (80) CdtProblem (81) CdtForwardInstantiationProof [BOTH BOUNDS(ID, ID), 23.0 s] (82) 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: f(0, 1, x) -> f(g(x), g(x), x) f(g(x), y, z) -> g(f(x, y, z)) f(x, g(y), z) -> g(f(x, y, z)) f(x, y, g(z)) -> g(f(x, y, z)) 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: f(0', 1', x) -> f(g(x), g(x), x) f(g(x), y, z) -> g(f(x, y, z)) f(x, g(y), z) -> g(f(x, y, z)) f(x, y, g(z)) -> g(f(x, y, z)) 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: f(0, 1, x) -> f(g(x), g(x), x) f(g(x), y, z) -> g(f(x, y, z)) f(x, g(y), z) -> g(f(x, y, z)) f(x, y, g(z)) -> g(f(x, y, z)) 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: f(0, 1, x) -> f(g(x), g(x), x) [1] f(g(x), y, z) -> g(f(x, y, z)) [1] f(x, g(y), z) -> g(f(x, y, z)) [1] f(x, y, g(z)) -> g(f(x, y, z)) [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: f(0, 1, x) -> f(g(x), g(x), x) [1] f(g(x), y, z) -> g(f(x, y, z)) [1] f(x, g(y), z) -> g(f(x, y, z)) [1] f(x, y, g(z)) -> g(f(x, y, z)) [1] The TRS has the following type information: f :: 0:1:g -> 0:1:g -> 0:1:g -> 0:1:g 0 :: 0:1:g 1 :: 0:1:g g :: 0:1:g -> 0:1:g 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: f_3 (c) The following functions are completely defined: none 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: f(0, 1, x) -> f(g(x), g(x), x) [1] f(g(x), y, z) -> g(f(x, y, z)) [1] f(x, g(y), z) -> g(f(x, y, z)) [1] f(x, y, g(z)) -> g(f(x, y, z)) [1] The TRS has the following type information: f :: 0:1:g -> 0:1:g -> 0:1:g -> 0:1:g 0 :: 0:1:g 1 :: 0:1:g g :: 0:1:g -> 0:1:g 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: f(0, 1, x) -> f(g(x), g(x), x) [1] f(g(x), y, z) -> g(f(x, y, z)) [1] f(x, g(y), z) -> g(f(x, y, z)) [1] f(x, y, g(z)) -> g(f(x, y, z)) [1] The TRS has the following type information: f :: 0:1:g -> 0:1:g -> 0:1:g -> 0:1:g 0 :: 0:1:g 1 :: 0:1:g g :: 0:1:g -> 0:1:g Rewrite Strategy: INNERMOST ---------------------------------------- (13) CpxTypedWeightedTrsToRntsProof (UPPER BOUND(ID)) Transformed the TRS into an over-approximating RNTS by (improved) Size Abstraction. The constant constructors are abstracted as follows: 0 => 0 1 => 1 ---------------------------------------- (14) Obligation: Complexity RNTS consisting of the following rules: f(z', z'', z1) -{ 1 }-> f(1 + x, 1 + x, x) :|: x >= 0, z'' = 1, z1 = x, z' = 0 f(z', z'', z1) -{ 1 }-> 1 + f(x, y, z) :|: z' = 1 + x, z1 = z, z >= 0, z'' = y, x >= 0, y >= 0 f(z', z'', z1) -{ 1 }-> 1 + f(x, y, z) :|: z1 = z, z >= 0, z' = x, x >= 0, y >= 0, z'' = 1 + y f(z', z'', z1) -{ 1 }-> 1 + f(x, y, z) :|: z >= 0, z' = x, z'' = y, x >= 0, y >= 0, z1 = 1 + z ---------------------------------------- (15) SimplificationProof (BOTH BOUNDS(ID, ID)) Simplified the RNTS by moving equalities from the constraints into the right-hand sides. ---------------------------------------- (16) Obligation: Complexity RNTS consisting of the following rules: f(z', z'', z1) -{ 1 }-> f(1 + z1, 1 + z1, z1) :|: z1 >= 0, z'' = 1, z' = 0 f(z', z'', z1) -{ 1 }-> 1 + f(z', z'', z1 - 1) :|: z1 - 1 >= 0, z' >= 0, z'' >= 0 f(z', z'', z1) -{ 1 }-> 1 + f(z', z'' - 1, z1) :|: z1 >= 0, z' >= 0, z'' - 1 >= 0 f(z', z'', z1) -{ 1 }-> 1 + f(z' - 1, z'', z1) :|: z1 >= 0, z' - 1 >= 0, z'' >= 0 ---------------------------------------- (17) CpxRntsAnalysisOrderProof (BOTH BOUNDS(ID, ID)) Found the following analysis order by SCC decomposition: { f } ---------------------------------------- (18) Obligation: Complexity RNTS consisting of the following rules: f(z', z'', z1) -{ 1 }-> f(1 + z1, 1 + z1, z1) :|: z1 >= 0, z'' = 1, z' = 0 f(z', z'', z1) -{ 1 }-> 1 + f(z', z'', z1 - 1) :|: z1 - 1 >= 0, z' >= 0, z'' >= 0 f(z', z'', z1) -{ 1 }-> 1 + f(z', z'' - 1, z1) :|: z1 >= 0, z' >= 0, z'' - 1 >= 0 f(z', z'', z1) -{ 1 }-> 1 + f(z' - 1, z'', z1) :|: z1 >= 0, z' - 1 >= 0, z'' >= 0 Function symbols to be analyzed: {f} ---------------------------------------- (19) ResultPropagationProof (UPPER BOUND(ID)) Applied inner abstraction using the recently inferred runtime/size bounds where possible. ---------------------------------------- (20) Obligation: Complexity RNTS consisting of the following rules: f(z', z'', z1) -{ 1 }-> f(1 + z1, 1 + z1, z1) :|: z1 >= 0, z'' = 1, z' = 0 f(z', z'', z1) -{ 1 }-> 1 + f(z', z'', z1 - 1) :|: z1 - 1 >= 0, z' >= 0, z'' >= 0 f(z', z'', z1) -{ 1 }-> 1 + f(z', z'' - 1, z1) :|: z1 >= 0, z' >= 0, z'' - 1 >= 0 f(z', z'', z1) -{ 1 }-> 1 + f(z' - 1, z'', z1) :|: z1 >= 0, z' - 1 >= 0, z'' >= 0 Function symbols to be analyzed: {f} ---------------------------------------- (21) IntTrsBoundProof (UPPER BOUND(ID)) Computed SIZE bound using CoFloCo for: f after applying outer abstraction to obtain an ITS, resulting in: O(1) with polynomial bound: 0 ---------------------------------------- (22) Obligation: Complexity RNTS consisting of the following rules: f(z', z'', z1) -{ 1 }-> f(1 + z1, 1 + z1, z1) :|: z1 >= 0, z'' = 1, z' = 0 f(z', z'', z1) -{ 1 }-> 1 + f(z', z'', z1 - 1) :|: z1 - 1 >= 0, z' >= 0, z'' >= 0 f(z', z'', z1) -{ 1 }-> 1 + f(z', z'' - 1, z1) :|: z1 >= 0, z' >= 0, z'' - 1 >= 0 f(z', z'', z1) -{ 1 }-> 1 + f(z' - 1, z'', z1) :|: z1 >= 0, z' - 1 >= 0, z'' >= 0 Function symbols to be analyzed: {f} Previous analysis results are: f: runtime: ?, size: O(1) [0] ---------------------------------------- (23) IntTrsBoundProof (UPPER BOUND(ID)) Computed RUNTIME bound using CoFloCo for: f after applying outer abstraction to obtain an ITS, resulting in: INF with polynomial bound: ? ---------------------------------------- (24) Obligation: Complexity RNTS consisting of the following rules: f(z', z'', z1) -{ 1 }-> f(1 + z1, 1 + z1, z1) :|: z1 >= 0, z'' = 1, z' = 0 f(z', z'', z1) -{ 1 }-> 1 + f(z', z'', z1 - 1) :|: z1 - 1 >= 0, z' >= 0, z'' >= 0 f(z', z'', z1) -{ 1 }-> 1 + f(z', z'' - 1, z1) :|: z1 >= 0, z' >= 0, z'' - 1 >= 0 f(z', z'', z1) -{ 1 }-> 1 + f(z' - 1, z'', z1) :|: z1 >= 0, z' - 1 >= 0, z'' >= 0 Function symbols to be analyzed: {f} Previous analysis results are: f: runtime: INF, size: O(1) [0] ---------------------------------------- (25) 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: f(v0, v1, v2) -> null_f [0] And the following fresh constants: null_f ---------------------------------------- (26) 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: f(0, 1, x) -> f(g(x), g(x), x) [1] f(g(x), y, z) -> g(f(x, y, z)) [1] f(x, g(y), z) -> g(f(x, y, z)) [1] f(x, y, g(z)) -> g(f(x, y, z)) [1] f(v0, v1, v2) -> null_f [0] The TRS has the following type information: f :: 0:1:g:null_f -> 0:1:g:null_f -> 0:1:g:null_f -> 0:1:g:null_f 0 :: 0:1:g:null_f 1 :: 0:1:g:null_f g :: 0:1:g:null_f -> 0:1:g:null_f null_f :: 0:1:g:null_f Rewrite Strategy: INNERMOST ---------------------------------------- (27) CpxTypedWeightedTrsToRntsProof (UPPER BOUND(ID)) Transformed the TRS into an over-approximating RNTS by (improved) Size Abstraction. The constant constructors are abstracted as follows: 0 => 0 1 => 1 null_f => 0 ---------------------------------------- (28) Obligation: Complexity RNTS consisting of the following rules: f(z', z'', z1) -{ 1 }-> f(1 + x, 1 + x, x) :|: x >= 0, z'' = 1, z1 = x, z' = 0 f(z', z'', z1) -{ 0 }-> 0 :|: v0 >= 0, z1 = v2, v1 >= 0, z'' = v1, v2 >= 0, z' = v0 f(z', z'', z1) -{ 1 }-> 1 + f(x, y, z) :|: z' = 1 + x, z1 = z, z >= 0, z'' = y, x >= 0, y >= 0 f(z', z'', z1) -{ 1 }-> 1 + f(x, y, z) :|: z1 = z, z >= 0, z' = x, x >= 0, y >= 0, z'' = 1 + y f(z', z'', z1) -{ 1 }-> 1 + f(x, y, z) :|: z >= 0, z' = x, z'' = y, x >= 0, y >= 0, z1 = 1 + z Only complete derivations are relevant for the runtime complexity. ---------------------------------------- (29) CpxTrsToCdtProof (UPPER BOUND(ID)) Converted Cpx (relative) TRS with rewrite strategy PARALLEL_INNERMOST to CDT ---------------------------------------- (30) Obligation: Complexity Dependency Tuples Problem Rules: f(0, 1, z0) -> f(g(z0), g(z0), z0) f(g(z0), z1, z2) -> g(f(z0, z1, z2)) f(z0, g(z1), z2) -> g(f(z0, z1, z2)) f(z0, z1, g(z2)) -> g(f(z0, z1, z2)) Tuples: F(0, 1, z0) -> c(F(g(z0), g(z0), z0)) F(g(z0), z1, z2) -> c1(F(z0, z1, z2)) F(z0, g(z1), z2) -> c2(F(z0, z1, z2)) F(z0, z1, g(z2)) -> c3(F(z0, z1, z2)) S tuples: F(0, 1, z0) -> c(F(g(z0), g(z0), z0)) F(g(z0), z1, z2) -> c1(F(z0, z1, z2)) F(z0, g(z1), z2) -> c2(F(z0, z1, z2)) F(z0, z1, g(z2)) -> c3(F(z0, z1, z2)) K tuples:none Defined Rule Symbols: f_3 Defined Pair Symbols: F_3 Compound Symbols: c_1, c1_1, c2_1, c3_1 ---------------------------------------- (31) CdtUsableRulesProof (BOTH BOUNDS(ID, ID)) The following rules are not usable and were removed: f(0, 1, z0) -> f(g(z0), g(z0), z0) f(g(z0), z1, z2) -> g(f(z0, z1, z2)) f(z0, g(z1), z2) -> g(f(z0, z1, z2)) f(z0, z1, g(z2)) -> g(f(z0, z1, z2)) ---------------------------------------- (32) Obligation: Complexity Dependency Tuples Problem Rules:none Tuples: F(0, 1, z0) -> c(F(g(z0), g(z0), z0)) F(g(z0), z1, z2) -> c1(F(z0, z1, z2)) F(z0, g(z1), z2) -> c2(F(z0, z1, z2)) F(z0, z1, g(z2)) -> c3(F(z0, z1, z2)) S tuples: F(0, 1, z0) -> c(F(g(z0), g(z0), z0)) F(g(z0), z1, z2) -> c1(F(z0, z1, z2)) F(z0, g(z1), z2) -> c2(F(z0, z1, z2)) F(z0, z1, g(z2)) -> c3(F(z0, z1, z2)) K tuples:none Defined Rule Symbols:none Defined Pair Symbols: F_3 Compound Symbols: c_1, c1_1, c2_1, c3_1 ---------------------------------------- (33) CdtRuleRemovalProof (UPPER BOUND(ADD(n^1))) Found a reduction pair which oriented the following tuples strictly. Hence they can be removed from S. F(z0, z1, g(z2)) -> c3(F(z0, z1, z2)) We considered the (Usable) Rules:none And the Tuples: F(0, 1, z0) -> c(F(g(z0), g(z0), z0)) F(g(z0), z1, z2) -> c1(F(z0, z1, z2)) F(z0, g(z1), z2) -> c2(F(z0, z1, z2)) F(z0, z1, g(z2)) -> c3(F(z0, z1, z2)) The order we found is given by the following interpretation: Polynomial interpretation : POL(0) = 0 POL(1) = 0 POL(F(x_1, x_2, x_3)) = x_3 POL(c(x_1)) = x_1 POL(c1(x_1)) = x_1 POL(c2(x_1)) = x_1 POL(c3(x_1)) = x_1 POL(g(x_1)) = [1] + x_1 ---------------------------------------- (34) Obligation: Complexity Dependency Tuples Problem Rules:none Tuples: F(0, 1, z0) -> c(F(g(z0), g(z0), z0)) F(g(z0), z1, z2) -> c1(F(z0, z1, z2)) F(z0, g(z1), z2) -> c2(F(z0, z1, z2)) F(z0, z1, g(z2)) -> c3(F(z0, z1, z2)) S tuples: F(0, 1, z0) -> c(F(g(z0), g(z0), z0)) F(g(z0), z1, z2) -> c1(F(z0, z1, z2)) F(z0, g(z1), z2) -> c2(F(z0, z1, z2)) K tuples: F(z0, z1, g(z2)) -> c3(F(z0, z1, z2)) Defined Rule Symbols:none Defined Pair Symbols: F_3 Compound Symbols: c_1, c1_1, c2_1, c3_1 ---------------------------------------- (35) CdtForwardInstantiationProof (BOTH BOUNDS(ID, ID)) Use forward instantiation to replace F(g(z0), z1, z2) -> c1(F(z0, z1, z2)) by F(g(0), 1, z2) -> c1(F(0, 1, z2)) F(g(g(y0)), z1, z2) -> c1(F(g(y0), z1, z2)) F(g(z0), g(y1), z2) -> c1(F(z0, g(y1), z2)) F(g(z0), z1, g(y2)) -> c1(F(z0, z1, g(y2))) ---------------------------------------- (36) Obligation: Complexity Dependency Tuples Problem Rules:none Tuples: F(0, 1, z0) -> c(F(g(z0), g(z0), z0)) F(z0, g(z1), z2) -> c2(F(z0, z1, z2)) F(z0, z1, g(z2)) -> c3(F(z0, z1, z2)) F(g(0), 1, z2) -> c1(F(0, 1, z2)) F(g(g(y0)), z1, z2) -> c1(F(g(y0), z1, z2)) F(g(z0), g(y1), z2) -> c1(F(z0, g(y1), z2)) F(g(z0), z1, g(y2)) -> c1(F(z0, z1, g(y2))) S tuples: F(0, 1, z0) -> c(F(g(z0), g(z0), z0)) F(z0, g(z1), z2) -> c2(F(z0, z1, z2)) F(g(0), 1, z2) -> c1(F(0, 1, z2)) F(g(g(y0)), z1, z2) -> c1(F(g(y0), z1, z2)) F(g(z0), g(y1), z2) -> c1(F(z0, g(y1), z2)) F(g(z0), z1, g(y2)) -> c1(F(z0, z1, g(y2))) K tuples: F(z0, z1, g(z2)) -> c3(F(z0, z1, z2)) Defined Rule Symbols:none Defined Pair Symbols: F_3 Compound Symbols: c_1, c2_1, c3_1, c1_1 ---------------------------------------- (37) CdtForwardInstantiationProof (BOTH BOUNDS(ID, ID)) Use forward instantiation to replace F(z0, g(z1), z2) -> c2(F(z0, z1, z2)) by F(0, g(1), z2) -> c2(F(0, 1, z2)) F(z0, g(g(y1)), z2) -> c2(F(z0, g(y1), z2)) F(z0, g(z1), g(y2)) -> c2(F(z0, z1, g(y2))) F(g(0), g(1), z2) -> c2(F(g(0), 1, z2)) F(g(g(y0)), g(z1), z2) -> c2(F(g(g(y0)), z1, z2)) F(g(y0), g(g(y1)), z2) -> c2(F(g(y0), g(y1), z2)) F(g(y0), g(z1), g(y2)) -> c2(F(g(y0), z1, g(y2))) ---------------------------------------- (38) Obligation: Complexity Dependency Tuples Problem Rules:none Tuples: F(0, 1, z0) -> c(F(g(z0), g(z0), z0)) F(z0, z1, g(z2)) -> c3(F(z0, z1, z2)) F(g(0), 1, z2) -> c1(F(0, 1, z2)) F(g(g(y0)), z1, z2) -> c1(F(g(y0), z1, z2)) F(g(z0), g(y1), z2) -> c1(F(z0, g(y1), z2)) F(g(z0), z1, g(y2)) -> c1(F(z0, z1, g(y2))) F(0, g(1), z2) -> c2(F(0, 1, z2)) F(z0, g(g(y1)), z2) -> c2(F(z0, g(y1), z2)) F(z0, g(z1), g(y2)) -> c2(F(z0, z1, g(y2))) F(g(0), g(1), z2) -> c2(F(g(0), 1, z2)) F(g(g(y0)), g(z1), z2) -> c2(F(g(g(y0)), z1, z2)) F(g(y0), g(g(y1)), z2) -> c2(F(g(y0), g(y1), z2)) F(g(y0), g(z1), g(y2)) -> c2(F(g(y0), z1, g(y2))) S tuples: F(0, 1, z0) -> c(F(g(z0), g(z0), z0)) F(g(0), 1, z2) -> c1(F(0, 1, z2)) F(g(g(y0)), z1, z2) -> c1(F(g(y0), z1, z2)) F(g(z0), g(y1), z2) -> c1(F(z0, g(y1), z2)) F(g(z0), z1, g(y2)) -> c1(F(z0, z1, g(y2))) F(0, g(1), z2) -> c2(F(0, 1, z2)) F(z0, g(g(y1)), z2) -> c2(F(z0, g(y1), z2)) F(z0, g(z1), g(y2)) -> c2(F(z0, z1, g(y2))) F(g(0), g(1), z2) -> c2(F(g(0), 1, z2)) F(g(g(y0)), g(z1), z2) -> c2(F(g(g(y0)), z1, z2)) F(g(y0), g(g(y1)), z2) -> c2(F(g(y0), g(y1), z2)) F(g(y0), g(z1), g(y2)) -> c2(F(g(y0), z1, g(y2))) K tuples: F(z0, z1, g(z2)) -> c3(F(z0, z1, z2)) Defined Rule Symbols:none Defined Pair Symbols: F_3 Compound Symbols: c_1, c3_1, c1_1, c2_1 ---------------------------------------- (39) CdtForwardInstantiationProof (BOTH BOUNDS(ID, ID)) Use forward instantiation to replace F(z0, z1, g(z2)) -> c3(F(z0, z1, z2)) by F(0, 1, g(z2)) -> c3(F(0, 1, z2)) F(z0, z1, g(g(y2))) -> c3(F(z0, z1, g(y2))) F(g(0), 1, g(z2)) -> c3(F(g(0), 1, z2)) F(g(g(y0)), z1, g(z2)) -> c3(F(g(g(y0)), z1, z2)) F(g(y0), g(y1), g(z2)) -> c3(F(g(y0), g(y1), z2)) F(g(y0), z1, g(g(y2))) -> c3(F(g(y0), z1, g(y2))) F(0, g(1), g(z2)) -> c3(F(0, g(1), z2)) F(z0, g(g(y1)), g(z2)) -> c3(F(z0, g(g(y1)), z2)) F(z0, g(y1), g(g(y2))) -> c3(F(z0, g(y1), g(y2))) F(g(0), g(1), g(z2)) -> c3(F(g(0), g(1), z2)) F(g(g(y0)), g(y1), g(z2)) -> c3(F(g(g(y0)), g(y1), z2)) F(g(y0), g(g(y1)), g(z2)) -> c3(F(g(y0), g(g(y1)), z2)) F(g(y0), g(y1), g(g(y2))) -> c3(F(g(y0), g(y1), g(y2))) ---------------------------------------- (40) Obligation: Complexity Dependency Tuples Problem Rules:none Tuples: F(0, 1, z0) -> c(F(g(z0), g(z0), z0)) F(g(0), 1, z2) -> c1(F(0, 1, z2)) F(g(g(y0)), z1, z2) -> c1(F(g(y0), z1, z2)) F(g(z0), g(y1), z2) -> c1(F(z0, g(y1), z2)) F(g(z0), z1, g(y2)) -> c1(F(z0, z1, g(y2))) F(0, g(1), z2) -> c2(F(0, 1, z2)) F(z0, g(g(y1)), z2) -> c2(F(z0, g(y1), z2)) F(z0, g(z1), g(y2)) -> c2(F(z0, z1, g(y2))) F(g(0), g(1), z2) -> c2(F(g(0), 1, z2)) F(g(g(y0)), g(z1), z2) -> c2(F(g(g(y0)), z1, z2)) F(g(y0), g(g(y1)), z2) -> c2(F(g(y0), g(y1), z2)) F(g(y0), g(z1), g(y2)) -> c2(F(g(y0), z1, g(y2))) F(0, 1, g(z2)) -> c3(F(0, 1, z2)) F(z0, z1, g(g(y2))) -> c3(F(z0, z1, g(y2))) F(g(0), 1, g(z2)) -> c3(F(g(0), 1, z2)) F(g(g(y0)), z1, g(z2)) -> c3(F(g(g(y0)), z1, z2)) F(g(y0), g(y1), g(z2)) -> c3(F(g(y0), g(y1), z2)) F(g(y0), z1, g(g(y2))) -> c3(F(g(y0), z1, g(y2))) F(0, g(1), g(z2)) -> c3(F(0, g(1), z2)) F(z0, g(g(y1)), g(z2)) -> c3(F(z0, g(g(y1)), z2)) F(z0, g(y1), g(g(y2))) -> c3(F(z0, g(y1), g(y2))) F(g(0), g(1), g(z2)) -> c3(F(g(0), g(1), z2)) F(g(g(y0)), g(y1), g(z2)) -> c3(F(g(g(y0)), g(y1), z2)) F(g(y0), g(g(y1)), g(z2)) -> c3(F(g(y0), g(g(y1)), z2)) F(g(y0), g(y1), g(g(y2))) -> c3(F(g(y0), g(y1), g(y2))) S tuples: F(0, 1, z0) -> c(F(g(z0), g(z0), z0)) F(g(0), 1, z2) -> c1(F(0, 1, z2)) F(g(g(y0)), z1, z2) -> c1(F(g(y0), z1, z2)) F(g(z0), g(y1), z2) -> c1(F(z0, g(y1), z2)) F(g(z0), z1, g(y2)) -> c1(F(z0, z1, g(y2))) F(0, g(1), z2) -> c2(F(0, 1, z2)) F(z0, g(g(y1)), z2) -> c2(F(z0, g(y1), z2)) F(z0, g(z1), g(y2)) -> c2(F(z0, z1, g(y2))) F(g(0), g(1), z2) -> c2(F(g(0), 1, z2)) F(g(g(y0)), g(z1), z2) -> c2(F(g(g(y0)), z1, z2)) F(g(y0), g(g(y1)), z2) -> c2(F(g(y0), g(y1), z2)) F(g(y0), g(z1), g(y2)) -> c2(F(g(y0), z1, g(y2))) K tuples: F(0, 1, g(z2)) -> c3(F(0, 1, z2)) F(z0, z1, g(g(y2))) -> c3(F(z0, z1, g(y2))) F(g(0), 1, g(z2)) -> c3(F(g(0), 1, z2)) F(g(g(y0)), z1, g(z2)) -> c3(F(g(g(y0)), z1, z2)) F(g(y0), g(y1), g(z2)) -> c3(F(g(y0), g(y1), z2)) F(g(y0), z1, g(g(y2))) -> c3(F(g(y0), z1, g(y2))) F(0, g(1), g(z2)) -> c3(F(0, g(1), z2)) F(z0, g(g(y1)), g(z2)) -> c3(F(z0, g(g(y1)), z2)) F(z0, g(y1), g(g(y2))) -> c3(F(z0, g(y1), g(y2))) F(g(0), g(1), g(z2)) -> c3(F(g(0), g(1), z2)) F(g(g(y0)), g(y1), g(z2)) -> c3(F(g(g(y0)), g(y1), z2)) F(g(y0), g(g(y1)), g(z2)) -> c3(F(g(y0), g(g(y1)), z2)) F(g(y0), g(y1), g(g(y2))) -> c3(F(g(y0), g(y1), g(y2))) Defined Rule Symbols:none Defined Pair Symbols: F_3 Compound Symbols: c_1, c1_1, c2_1, c3_1 ---------------------------------------- (41) CdtForwardInstantiationProof (BOTH BOUNDS(ID, ID)) Use forward instantiation to replace F(g(g(y0)), z1, z2) -> c1(F(g(y0), z1, z2)) by F(g(g(0)), 1, z2) -> c1(F(g(0), 1, z2)) F(g(g(g(y0))), z1, z2) -> c1(F(g(g(y0)), z1, z2)) F(g(g(z0)), g(y1), z2) -> c1(F(g(z0), g(y1), z2)) F(g(g(z0)), z1, g(y2)) -> c1(F(g(z0), z1, g(y2))) F(g(g(z0)), g(g(y1)), z2) -> c1(F(g(z0), g(g(y1)), z2)) F(g(g(z0)), g(y1), g(y2)) -> c1(F(g(z0), g(y1), g(y2))) F(g(g(0)), g(1), z2) -> c1(F(g(0), g(1), z2)) F(g(g(g(y0))), g(y1), z2) -> c1(F(g(g(y0)), g(y1), z2)) F(g(g(z0)), z1, g(g(y2))) -> c1(F(g(z0), z1, g(g(y2)))) F(g(g(0)), 1, g(y0)) -> c1(F(g(0), 1, g(y0))) F(g(g(g(y0))), z1, g(y2)) -> c1(F(g(g(y0)), z1, g(y2))) F(g(g(z0)), g(g(y1)), g(y2)) -> c1(F(g(z0), g(g(y1)), g(y2))) F(g(g(z0)), g(y1), g(g(y2))) -> c1(F(g(z0), g(y1), g(g(y2)))) F(g(g(0)), g(1), g(y0)) -> c1(F(g(0), g(1), g(y0))) F(g(g(g(y0))), g(y1), g(y2)) -> c1(F(g(g(y0)), g(y1), g(y2))) ---------------------------------------- (42) Obligation: Complexity Dependency Tuples Problem Rules:none Tuples: F(0, 1, z0) -> c(F(g(z0), g(z0), z0)) F(g(0), 1, z2) -> c1(F(0, 1, z2)) F(g(z0), g(y1), z2) -> c1(F(z0, g(y1), z2)) F(g(z0), z1, g(y2)) -> c1(F(z0, z1, g(y2))) F(0, g(1), z2) -> c2(F(0, 1, z2)) F(z0, g(g(y1)), z2) -> c2(F(z0, g(y1), z2)) F(z0, g(z1), g(y2)) -> c2(F(z0, z1, g(y2))) F(g(0), g(1), z2) -> c2(F(g(0), 1, z2)) F(g(g(y0)), g(z1), z2) -> c2(F(g(g(y0)), z1, z2)) F(g(y0), g(g(y1)), z2) -> c2(F(g(y0), g(y1), z2)) F(g(y0), g(z1), g(y2)) -> c2(F(g(y0), z1, g(y2))) F(0, 1, g(z2)) -> c3(F(0, 1, z2)) F(z0, z1, g(g(y2))) -> c3(F(z0, z1, g(y2))) F(g(0), 1, g(z2)) -> c3(F(g(0), 1, z2)) F(g(g(y0)), z1, g(z2)) -> c3(F(g(g(y0)), z1, z2)) F(g(y0), g(y1), g(z2)) -> c3(F(g(y0), g(y1), z2)) F(g(y0), z1, g(g(y2))) -> c3(F(g(y0), z1, g(y2))) F(0, g(1), g(z2)) -> c3(F(0, g(1), z2)) F(z0, g(g(y1)), g(z2)) -> c3(F(z0, g(g(y1)), z2)) F(z0, g(y1), g(g(y2))) -> c3(F(z0, g(y1), g(y2))) F(g(0), g(1), g(z2)) -> c3(F(g(0), g(1), z2)) F(g(g(y0)), g(y1), g(z2)) -> c3(F(g(g(y0)), g(y1), z2)) F(g(y0), g(g(y1)), g(z2)) -> c3(F(g(y0), g(g(y1)), z2)) F(g(y0), g(y1), g(g(y2))) -> c3(F(g(y0), g(y1), g(y2))) F(g(g(0)), 1, z2) -> c1(F(g(0), 1, z2)) F(g(g(g(y0))), z1, z2) -> c1(F(g(g(y0)), z1, z2)) F(g(g(z0)), g(y1), z2) -> c1(F(g(z0), g(y1), z2)) F(g(g(z0)), z1, g(y2)) -> c1(F(g(z0), z1, g(y2))) F(g(g(z0)), g(g(y1)), z2) -> c1(F(g(z0), g(g(y1)), z2)) F(g(g(z0)), g(y1), g(y2)) -> c1(F(g(z0), g(y1), g(y2))) F(g(g(0)), g(1), z2) -> c1(F(g(0), g(1), z2)) F(g(g(g(y0))), g(y1), z2) -> c1(F(g(g(y0)), g(y1), z2)) F(g(g(z0)), z1, g(g(y2))) -> c1(F(g(z0), z1, g(g(y2)))) F(g(g(0)), 1, g(y0)) -> c1(F(g(0), 1, g(y0))) F(g(g(g(y0))), z1, g(y2)) -> c1(F(g(g(y0)), z1, g(y2))) F(g(g(z0)), g(g(y1)), g(y2)) -> c1(F(g(z0), g(g(y1)), g(y2))) F(g(g(z0)), g(y1), g(g(y2))) -> c1(F(g(z0), g(y1), g(g(y2)))) F(g(g(0)), g(1), g(y0)) -> c1(F(g(0), g(1), g(y0))) F(g(g(g(y0))), g(y1), g(y2)) -> c1(F(g(g(y0)), g(y1), g(y2))) S tuples: F(0, 1, z0) -> c(F(g(z0), g(z0), z0)) F(g(0), 1, z2) -> c1(F(0, 1, z2)) F(g(z0), g(y1), z2) -> c1(F(z0, g(y1), z2)) F(g(z0), z1, g(y2)) -> c1(F(z0, z1, g(y2))) F(0, g(1), z2) -> c2(F(0, 1, z2)) F(z0, g(g(y1)), z2) -> c2(F(z0, g(y1), z2)) F(z0, g(z1), g(y2)) -> c2(F(z0, z1, g(y2))) F(g(0), g(1), z2) -> c2(F(g(0), 1, z2)) F(g(g(y0)), g(z1), z2) -> c2(F(g(g(y0)), z1, z2)) F(g(y0), g(g(y1)), z2) -> c2(F(g(y0), g(y1), z2)) F(g(y0), g(z1), g(y2)) -> c2(F(g(y0), z1, g(y2))) F(g(g(0)), 1, z2) -> c1(F(g(0), 1, z2)) F(g(g(g(y0))), z1, z2) -> c1(F(g(g(y0)), z1, z2)) F(g(g(z0)), g(y1), z2) -> c1(F(g(z0), g(y1), z2)) F(g(g(z0)), z1, g(y2)) -> c1(F(g(z0), z1, g(y2))) F(g(g(z0)), g(g(y1)), z2) -> c1(F(g(z0), g(g(y1)), z2)) F(g(g(z0)), g(y1), g(y2)) -> c1(F(g(z0), g(y1), g(y2))) F(g(g(0)), g(1), z2) -> c1(F(g(0), g(1), z2)) F(g(g(g(y0))), g(y1), z2) -> c1(F(g(g(y0)), g(y1), z2)) F(g(g(z0)), z1, g(g(y2))) -> c1(F(g(z0), z1, g(g(y2)))) F(g(g(0)), 1, g(y0)) -> c1(F(g(0), 1, g(y0))) F(g(g(g(y0))), z1, g(y2)) -> c1(F(g(g(y0)), z1, g(y2))) F(g(g(z0)), g(g(y1)), g(y2)) -> c1(F(g(z0), g(g(y1)), g(y2))) F(g(g(z0)), g(y1), g(g(y2))) -> c1(F(g(z0), g(y1), g(g(y2)))) F(g(g(0)), g(1), g(y0)) -> c1(F(g(0), g(1), g(y0))) F(g(g(g(y0))), g(y1), g(y2)) -> c1(F(g(g(y0)), g(y1), g(y2))) K tuples: F(0, 1, g(z2)) -> c3(F(0, 1, z2)) F(z0, z1, g(g(y2))) -> c3(F(z0, z1, g(y2))) F(g(0), 1, g(z2)) -> c3(F(g(0), 1, z2)) F(g(g(y0)), z1, g(z2)) -> c3(F(g(g(y0)), z1, z2)) F(g(y0), g(y1), g(z2)) -> c3(F(g(y0), g(y1), z2)) F(g(y0), z1, g(g(y2))) -> c3(F(g(y0), z1, g(y2))) F(0, g(1), g(z2)) -> c3(F(0, g(1), z2)) F(z0, g(g(y1)), g(z2)) -> c3(F(z0, g(g(y1)), z2)) F(z0, g(y1), g(g(y2))) -> c3(F(z0, g(y1), g(y2))) F(g(0), g(1), g(z2)) -> c3(F(g(0), g(1), z2)) F(g(g(y0)), g(y1), g(z2)) -> c3(F(g(g(y0)), g(y1), z2)) F(g(y0), g(g(y1)), g(z2)) -> c3(F(g(y0), g(g(y1)), z2)) F(g(y0), g(y1), g(g(y2))) -> c3(F(g(y0), g(y1), g(y2))) Defined Rule Symbols:none Defined Pair Symbols: F_3 Compound Symbols: c_1, c1_1, c2_1, c3_1 ---------------------------------------- (43) CdtForwardInstantiationProof (BOTH BOUNDS(ID, ID)) Use forward instantiation to replace F(g(z0), g(y1), z2) -> c1(F(z0, g(y1), z2)) by F(g(g(y0)), g(z1), z2) -> c1(F(g(y0), g(z1), z2)) F(g(g(y0)), g(z1), g(y2)) -> c1(F(g(y0), g(z1), g(y2))) F(g(0), g(1), z2) -> c1(F(0, g(1), z2)) F(g(z0), g(g(y1)), z2) -> c1(F(z0, g(g(y1)), z2)) F(g(z0), g(z1), g(y2)) -> c1(F(z0, g(z1), g(y2))) F(g(g(0)), g(1), z2) -> c1(F(g(0), g(1), z2)) F(g(g(g(y0))), g(z1), z2) -> c1(F(g(g(y0)), g(z1), z2)) F(g(g(y0)), g(g(y1)), z2) -> c1(F(g(y0), g(g(y1)), z2)) F(g(z0), g(z1), g(g(y2))) -> c1(F(z0, g(z1), g(g(y2)))) F(g(g(g(y0))), g(z1), g(y2)) -> c1(F(g(g(y0)), g(z1), g(y2))) F(g(g(y0)), g(z1), g(g(y2))) -> c1(F(g(y0), g(z1), g(g(y2)))) F(g(0), g(1), g(y0)) -> c1(F(0, g(1), g(y0))) F(g(z0), g(g(y1)), g(y2)) -> c1(F(z0, g(g(y1)), g(y2))) F(g(g(0)), g(1), g(y0)) -> c1(F(g(0), g(1), g(y0))) F(g(g(y0)), g(g(y1)), g(y2)) -> c1(F(g(y0), g(g(y1)), g(y2))) F(g(g(g(g(y0)))), g(z1), z2) -> c1(F(g(g(g(y0))), g(z1), z2)) F(g(g(g(y0))), g(g(y1)), z2) -> c1(F(g(g(y0)), g(g(y1)), z2)) F(g(g(g(0))), g(1), z2) -> c1(F(g(g(0)), g(1), z2)) F(g(g(g(y0))), g(z1), g(g(y2))) -> c1(F(g(g(y0)), g(z1), g(g(y2)))) F(g(g(g(g(y0)))), g(z1), g(y2)) -> c1(F(g(g(g(y0))), g(z1), g(y2))) F(g(g(g(y0))), g(g(y1)), g(y2)) -> c1(F(g(g(y0)), g(g(y1)), g(y2))) F(g(g(g(0))), g(1), g(y0)) -> c1(F(g(g(0)), g(1), g(y0))) ---------------------------------------- (44) Obligation: Complexity Dependency Tuples Problem Rules:none Tuples: F(0, 1, z0) -> c(F(g(z0), g(z0), z0)) F(g(0), 1, z2) -> c1(F(0, 1, z2)) F(g(z0), z1, g(y2)) -> c1(F(z0, z1, g(y2))) F(0, g(1), z2) -> c2(F(0, 1, z2)) F(z0, g(g(y1)), z2) -> c2(F(z0, g(y1), z2)) F(z0, g(z1), g(y2)) -> c2(F(z0, z1, g(y2))) F(g(0), g(1), z2) -> c2(F(g(0), 1, z2)) F(g(g(y0)), g(z1), z2) -> c2(F(g(g(y0)), z1, z2)) F(g(y0), g(g(y1)), z2) -> c2(F(g(y0), g(y1), z2)) F(g(y0), g(z1), g(y2)) -> c2(F(g(y0), z1, g(y2))) F(0, 1, g(z2)) -> c3(F(0, 1, z2)) F(z0, z1, g(g(y2))) -> c3(F(z0, z1, g(y2))) F(g(0), 1, g(z2)) -> c3(F(g(0), 1, z2)) F(g(g(y0)), z1, g(z2)) -> c3(F(g(g(y0)), z1, z2)) F(g(y0), g(y1), g(z2)) -> c3(F(g(y0), g(y1), z2)) F(g(y0), z1, g(g(y2))) -> c3(F(g(y0), z1, g(y2))) F(0, g(1), g(z2)) -> c3(F(0, g(1), z2)) F(z0, g(g(y1)), g(z2)) -> c3(F(z0, g(g(y1)), z2)) F(z0, g(y1), g(g(y2))) -> c3(F(z0, g(y1), g(y2))) F(g(0), g(1), g(z2)) -> c3(F(g(0), g(1), z2)) F(g(g(y0)), g(y1), g(z2)) -> c3(F(g(g(y0)), g(y1), z2)) F(g(y0), g(g(y1)), g(z2)) -> c3(F(g(y0), g(g(y1)), z2)) F(g(y0), g(y1), g(g(y2))) -> c3(F(g(y0), g(y1), g(y2))) F(g(g(0)), 1, z2) -> c1(F(g(0), 1, z2)) F(g(g(g(y0))), z1, z2) -> c1(F(g(g(y0)), z1, z2)) F(g(g(z0)), g(y1), z2) -> c1(F(g(z0), g(y1), z2)) F(g(g(z0)), z1, g(y2)) -> c1(F(g(z0), z1, g(y2))) F(g(g(z0)), g(g(y1)), z2) -> c1(F(g(z0), g(g(y1)), z2)) F(g(g(z0)), g(y1), g(y2)) -> c1(F(g(z0), g(y1), g(y2))) F(g(g(0)), g(1), z2) -> c1(F(g(0), g(1), z2)) F(g(g(g(y0))), g(y1), z2) -> c1(F(g(g(y0)), g(y1), z2)) F(g(g(z0)), z1, g(g(y2))) -> c1(F(g(z0), z1, g(g(y2)))) F(g(g(0)), 1, g(y0)) -> c1(F(g(0), 1, g(y0))) F(g(g(g(y0))), z1, g(y2)) -> c1(F(g(g(y0)), z1, g(y2))) F(g(g(z0)), g(g(y1)), g(y2)) -> c1(F(g(z0), g(g(y1)), g(y2))) F(g(g(z0)), g(y1), g(g(y2))) -> c1(F(g(z0), g(y1), g(g(y2)))) F(g(g(0)), g(1), g(y0)) -> c1(F(g(0), g(1), g(y0))) F(g(g(g(y0))), g(y1), g(y2)) -> c1(F(g(g(y0)), g(y1), g(y2))) F(g(0), g(1), z2) -> c1(F(0, g(1), z2)) F(g(z0), g(g(y1)), z2) -> c1(F(z0, g(g(y1)), z2)) F(g(z0), g(z1), g(y2)) -> c1(F(z0, g(z1), g(y2))) F(g(z0), g(z1), g(g(y2))) -> c1(F(z0, g(z1), g(g(y2)))) F(g(0), g(1), g(y0)) -> c1(F(0, g(1), g(y0))) F(g(z0), g(g(y1)), g(y2)) -> c1(F(z0, g(g(y1)), g(y2))) F(g(g(g(g(y0)))), g(z1), z2) -> c1(F(g(g(g(y0))), g(z1), z2)) F(g(g(g(y0))), g(g(y1)), z2) -> c1(F(g(g(y0)), g(g(y1)), z2)) F(g(g(g(0))), g(1), z2) -> c1(F(g(g(0)), g(1), z2)) F(g(g(g(y0))), g(z1), g(g(y2))) -> c1(F(g(g(y0)), g(z1), g(g(y2)))) F(g(g(g(g(y0)))), g(z1), g(y2)) -> c1(F(g(g(g(y0))), g(z1), g(y2))) F(g(g(g(y0))), g(g(y1)), g(y2)) -> c1(F(g(g(y0)), g(g(y1)), g(y2))) F(g(g(g(0))), g(1), g(y0)) -> c1(F(g(g(0)), g(1), g(y0))) S tuples: F(0, 1, z0) -> c(F(g(z0), g(z0), z0)) F(g(0), 1, z2) -> c1(F(0, 1, z2)) F(g(z0), z1, g(y2)) -> c1(F(z0, z1, g(y2))) F(0, g(1), z2) -> c2(F(0, 1, z2)) F(z0, g(g(y1)), z2) -> c2(F(z0, g(y1), z2)) F(z0, g(z1), g(y2)) -> c2(F(z0, z1, g(y2))) F(g(0), g(1), z2) -> c2(F(g(0), 1, z2)) F(g(g(y0)), g(z1), z2) -> c2(F(g(g(y0)), z1, z2)) F(g(y0), g(g(y1)), z2) -> c2(F(g(y0), g(y1), z2)) F(g(y0), g(z1), g(y2)) -> c2(F(g(y0), z1, g(y2))) F(g(g(0)), 1, z2) -> c1(F(g(0), 1, z2)) F(g(g(g(y0))), z1, z2) -> c1(F(g(g(y0)), z1, z2)) F(g(g(z0)), g(y1), z2) -> c1(F(g(z0), g(y1), z2)) F(g(g(z0)), z1, g(y2)) -> c1(F(g(z0), z1, g(y2))) F(g(g(z0)), g(g(y1)), z2) -> c1(F(g(z0), g(g(y1)), z2)) F(g(g(z0)), g(y1), g(y2)) -> c1(F(g(z0), g(y1), g(y2))) F(g(g(0)), g(1), z2) -> c1(F(g(0), g(1), z2)) F(g(g(g(y0))), g(y1), z2) -> c1(F(g(g(y0)), g(y1), z2)) F(g(g(z0)), z1, g(g(y2))) -> c1(F(g(z0), z1, g(g(y2)))) F(g(g(0)), 1, g(y0)) -> c1(F(g(0), 1, g(y0))) F(g(g(g(y0))), z1, g(y2)) -> c1(F(g(g(y0)), z1, g(y2))) F(g(g(z0)), g(g(y1)), g(y2)) -> c1(F(g(z0), g(g(y1)), g(y2))) F(g(g(z0)), g(y1), g(g(y2))) -> c1(F(g(z0), g(y1), g(g(y2)))) F(g(g(0)), g(1), g(y0)) -> c1(F(g(0), g(1), g(y0))) F(g(g(g(y0))), g(y1), g(y2)) -> c1(F(g(g(y0)), g(y1), g(y2))) F(g(0), g(1), z2) -> c1(F(0, g(1), z2)) F(g(z0), g(g(y1)), z2) -> c1(F(z0, g(g(y1)), z2)) F(g(z0), g(z1), g(y2)) -> c1(F(z0, g(z1), g(y2))) F(g(z0), g(z1), g(g(y2))) -> c1(F(z0, g(z1), g(g(y2)))) F(g(0), g(1), g(y0)) -> c1(F(0, g(1), g(y0))) F(g(z0), g(g(y1)), g(y2)) -> c1(F(z0, g(g(y1)), g(y2))) F(g(g(g(g(y0)))), g(z1), z2) -> c1(F(g(g(g(y0))), g(z1), z2)) F(g(g(g(y0))), g(g(y1)), z2) -> c1(F(g(g(y0)), g(g(y1)), z2)) F(g(g(g(0))), g(1), z2) -> c1(F(g(g(0)), g(1), z2)) F(g(g(g(y0))), g(z1), g(g(y2))) -> c1(F(g(g(y0)), g(z1), g(g(y2)))) F(g(g(g(g(y0)))), g(z1), g(y2)) -> c1(F(g(g(g(y0))), g(z1), g(y2))) F(g(g(g(y0))), g(g(y1)), g(y2)) -> c1(F(g(g(y0)), g(g(y1)), g(y2))) F(g(g(g(0))), g(1), g(y0)) -> c1(F(g(g(0)), g(1), g(y0))) K tuples: F(0, 1, g(z2)) -> c3(F(0, 1, z2)) F(z0, z1, g(g(y2))) -> c3(F(z0, z1, g(y2))) F(g(0), 1, g(z2)) -> c3(F(g(0), 1, z2)) F(g(g(y0)), z1, g(z2)) -> c3(F(g(g(y0)), z1, z2)) F(g(y0), g(y1), g(z2)) -> c3(F(g(y0), g(y1), z2)) F(g(y0), z1, g(g(y2))) -> c3(F(g(y0), z1, g(y2))) F(0, g(1), g(z2)) -> c3(F(0, g(1), z2)) F(z0, g(g(y1)), g(z2)) -> c3(F(z0, g(g(y1)), z2)) F(z0, g(y1), g(g(y2))) -> c3(F(z0, g(y1), g(y2))) F(g(0), g(1), g(z2)) -> c3(F(g(0), g(1), z2)) F(g(g(y0)), g(y1), g(z2)) -> c3(F(g(g(y0)), g(y1), z2)) F(g(y0), g(g(y1)), g(z2)) -> c3(F(g(y0), g(g(y1)), z2)) F(g(y0), g(y1), g(g(y2))) -> c3(F(g(y0), g(y1), g(y2))) Defined Rule Symbols:none Defined Pair Symbols: F_3 Compound Symbols: c_1, c1_1, c2_1, c3_1 ---------------------------------------- (45) CdtForwardInstantiationProof (BOTH BOUNDS(ID, ID)) Use forward instantiation to replace F(0, 1, z0) -> c(F(g(z0), g(z0), z0)) by F(0, 1, g(y2)) -> c(F(g(g(y2)), g(g(y2)), g(y2))) F(0, 1, g(g(y2))) -> c(F(g(g(g(y2))), g(g(g(y2))), g(g(y2)))) F(0, 1, g(g(g(y0)))) -> c(F(g(g(g(g(y0)))), g(g(g(g(y0)))), g(g(g(y0))))) ---------------------------------------- (46) Obligation: Complexity Dependency Tuples Problem Rules:none Tuples: F(g(0), 1, z2) -> c1(F(0, 1, z2)) F(g(z0), z1, g(y2)) -> c1(F(z0, z1, g(y2))) F(0, g(1), z2) -> c2(F(0, 1, z2)) F(z0, g(g(y1)), z2) -> c2(F(z0, g(y1), z2)) F(z0, g(z1), g(y2)) -> c2(F(z0, z1, g(y2))) F(g(0), g(1), z2) -> c2(F(g(0), 1, z2)) F(g(g(y0)), g(z1), z2) -> c2(F(g(g(y0)), z1, z2)) F(g(y0), g(g(y1)), z2) -> c2(F(g(y0), g(y1), z2)) F(g(y0), g(z1), g(y2)) -> c2(F(g(y0), z1, g(y2))) F(0, 1, g(z2)) -> c3(F(0, 1, z2)) F(z0, z1, g(g(y2))) -> c3(F(z0, z1, g(y2))) F(g(0), 1, g(z2)) -> c3(F(g(0), 1, z2)) F(g(g(y0)), z1, g(z2)) -> c3(F(g(g(y0)), z1, z2)) F(g(y0), g(y1), g(z2)) -> c3(F(g(y0), g(y1), z2)) F(g(y0), z1, g(g(y2))) -> c3(F(g(y0), z1, g(y2))) F(0, g(1), g(z2)) -> c3(F(0, g(1), z2)) F(z0, g(g(y1)), g(z2)) -> c3(F(z0, g(g(y1)), z2)) F(z0, g(y1), g(g(y2))) -> c3(F(z0, g(y1), g(y2))) F(g(0), g(1), g(z2)) -> c3(F(g(0), g(1), z2)) F(g(g(y0)), g(y1), g(z2)) -> c3(F(g(g(y0)), g(y1), z2)) F(g(y0), g(g(y1)), g(z2)) -> c3(F(g(y0), g(g(y1)), z2)) F(g(y0), g(y1), g(g(y2))) -> c3(F(g(y0), g(y1), g(y2))) F(g(g(0)), 1, z2) -> c1(F(g(0), 1, z2)) F(g(g(g(y0))), z1, z2) -> c1(F(g(g(y0)), z1, z2)) F(g(g(z0)), g(y1), z2) -> c1(F(g(z0), g(y1), z2)) F(g(g(z0)), z1, g(y2)) -> c1(F(g(z0), z1, g(y2))) F(g(g(z0)), g(g(y1)), z2) -> c1(F(g(z0), g(g(y1)), z2)) F(g(g(z0)), g(y1), g(y2)) -> c1(F(g(z0), g(y1), g(y2))) F(g(g(0)), g(1), z2) -> c1(F(g(0), g(1), z2)) F(g(g(g(y0))), g(y1), z2) -> c1(F(g(g(y0)), g(y1), z2)) F(g(g(z0)), z1, g(g(y2))) -> c1(F(g(z0), z1, g(g(y2)))) F(g(g(0)), 1, g(y0)) -> c1(F(g(0), 1, g(y0))) F(g(g(g(y0))), z1, g(y2)) -> c1(F(g(g(y0)), z1, g(y2))) F(g(g(z0)), g(g(y1)), g(y2)) -> c1(F(g(z0), g(g(y1)), g(y2))) F(g(g(z0)), g(y1), g(g(y2))) -> c1(F(g(z0), g(y1), g(g(y2)))) F(g(g(0)), g(1), g(y0)) -> c1(F(g(0), g(1), g(y0))) F(g(g(g(y0))), g(y1), g(y2)) -> c1(F(g(g(y0)), g(y1), g(y2))) F(g(0), g(1), z2) -> c1(F(0, g(1), z2)) F(g(z0), g(g(y1)), z2) -> c1(F(z0, g(g(y1)), z2)) F(g(z0), g(z1), g(y2)) -> c1(F(z0, g(z1), g(y2))) F(g(z0), g(z1), g(g(y2))) -> c1(F(z0, g(z1), g(g(y2)))) F(g(0), g(1), g(y0)) -> c1(F(0, g(1), g(y0))) F(g(z0), g(g(y1)), g(y2)) -> c1(F(z0, g(g(y1)), g(y2))) F(g(g(g(g(y0)))), g(z1), z2) -> c1(F(g(g(g(y0))), g(z1), z2)) F(g(g(g(y0))), g(g(y1)), z2) -> c1(F(g(g(y0)), g(g(y1)), z2)) F(g(g(g(0))), g(1), z2) -> c1(F(g(g(0)), g(1), z2)) F(g(g(g(y0))), g(z1), g(g(y2))) -> c1(F(g(g(y0)), g(z1), g(g(y2)))) F(g(g(g(g(y0)))), g(z1), g(y2)) -> c1(F(g(g(g(y0))), g(z1), g(y2))) F(g(g(g(y0))), g(g(y1)), g(y2)) -> c1(F(g(g(y0)), g(g(y1)), g(y2))) F(g(g(g(0))), g(1), g(y0)) -> c1(F(g(g(0)), g(1), g(y0))) F(0, 1, g(y2)) -> c(F(g(g(y2)), g(g(y2)), g(y2))) F(0, 1, g(g(y2))) -> c(F(g(g(g(y2))), g(g(g(y2))), g(g(y2)))) F(0, 1, g(g(g(y0)))) -> c(F(g(g(g(g(y0)))), g(g(g(g(y0)))), g(g(g(y0))))) S tuples: F(g(0), 1, z2) -> c1(F(0, 1, z2)) F(g(z0), z1, g(y2)) -> c1(F(z0, z1, g(y2))) F(0, g(1), z2) -> c2(F(0, 1, z2)) F(z0, g(g(y1)), z2) -> c2(F(z0, g(y1), z2)) F(z0, g(z1), g(y2)) -> c2(F(z0, z1, g(y2))) F(g(0), g(1), z2) -> c2(F(g(0), 1, z2)) F(g(g(y0)), g(z1), z2) -> c2(F(g(g(y0)), z1, z2)) F(g(y0), g(g(y1)), z2) -> c2(F(g(y0), g(y1), z2)) F(g(y0), g(z1), g(y2)) -> c2(F(g(y0), z1, g(y2))) F(g(g(0)), 1, z2) -> c1(F(g(0), 1, z2)) F(g(g(g(y0))), z1, z2) -> c1(F(g(g(y0)), z1, z2)) F(g(g(z0)), g(y1), z2) -> c1(F(g(z0), g(y1), z2)) F(g(g(z0)), z1, g(y2)) -> c1(F(g(z0), z1, g(y2))) F(g(g(z0)), g(g(y1)), z2) -> c1(F(g(z0), g(g(y1)), z2)) F(g(g(z0)), g(y1), g(y2)) -> c1(F(g(z0), g(y1), g(y2))) F(g(g(0)), g(1), z2) -> c1(F(g(0), g(1), z2)) F(g(g(g(y0))), g(y1), z2) -> c1(F(g(g(y0)), g(y1), z2)) F(g(g(z0)), z1, g(g(y2))) -> c1(F(g(z0), z1, g(g(y2)))) F(g(g(0)), 1, g(y0)) -> c1(F(g(0), 1, g(y0))) F(g(g(g(y0))), z1, g(y2)) -> c1(F(g(g(y0)), z1, g(y2))) F(g(g(z0)), g(g(y1)), g(y2)) -> c1(F(g(z0), g(g(y1)), g(y2))) F(g(g(z0)), g(y1), g(g(y2))) -> c1(F(g(z0), g(y1), g(g(y2)))) F(g(g(0)), g(1), g(y0)) -> c1(F(g(0), g(1), g(y0))) F(g(g(g(y0))), g(y1), g(y2)) -> c1(F(g(g(y0)), g(y1), g(y2))) F(g(0), g(1), z2) -> c1(F(0, g(1), z2)) F(g(z0), g(g(y1)), z2) -> c1(F(z0, g(g(y1)), z2)) F(g(z0), g(z1), g(y2)) -> c1(F(z0, g(z1), g(y2))) F(g(z0), g(z1), g(g(y2))) -> c1(F(z0, g(z1), g(g(y2)))) F(g(0), g(1), g(y0)) -> c1(F(0, g(1), g(y0))) F(g(z0), g(g(y1)), g(y2)) -> c1(F(z0, g(g(y1)), g(y2))) F(g(g(g(g(y0)))), g(z1), z2) -> c1(F(g(g(g(y0))), g(z1), z2)) F(g(g(g(y0))), g(g(y1)), z2) -> c1(F(g(g(y0)), g(g(y1)), z2)) F(g(g(g(0))), g(1), z2) -> c1(F(g(g(0)), g(1), z2)) F(g(g(g(y0))), g(z1), g(g(y2))) -> c1(F(g(g(y0)), g(z1), g(g(y2)))) F(g(g(g(g(y0)))), g(z1), g(y2)) -> c1(F(g(g(g(y0))), g(z1), g(y2))) F(g(g(g(y0))), g(g(y1)), g(y2)) -> c1(F(g(g(y0)), g(g(y1)), g(y2))) F(g(g(g(0))), g(1), g(y0)) -> c1(F(g(g(0)), g(1), g(y0))) F(0, 1, g(y2)) -> c(F(g(g(y2)), g(g(y2)), g(y2))) F(0, 1, g(g(y2))) -> c(F(g(g(g(y2))), g(g(g(y2))), g(g(y2)))) F(0, 1, g(g(g(y0)))) -> c(F(g(g(g(g(y0)))), g(g(g(g(y0)))), g(g(g(y0))))) K tuples: F(0, 1, g(z2)) -> c3(F(0, 1, z2)) F(z0, z1, g(g(y2))) -> c3(F(z0, z1, g(y2))) F(g(0), 1, g(z2)) -> c3(F(g(0), 1, z2)) F(g(g(y0)), z1, g(z2)) -> c3(F(g(g(y0)), z1, z2)) F(g(y0), g(y1), g(z2)) -> c3(F(g(y0), g(y1), z2)) F(g(y0), z1, g(g(y2))) -> c3(F(g(y0), z1, g(y2))) F(0, g(1), g(z2)) -> c3(F(0, g(1), z2)) F(z0, g(g(y1)), g(z2)) -> c3(F(z0, g(g(y1)), z2)) F(z0, g(y1), g(g(y2))) -> c3(F(z0, g(y1), g(y2))) F(g(0), g(1), g(z2)) -> c3(F(g(0), g(1), z2)) F(g(g(y0)), g(y1), g(z2)) -> c3(F(g(g(y0)), g(y1), z2)) F(g(y0), g(g(y1)), g(z2)) -> c3(F(g(y0), g(g(y1)), z2)) F(g(y0), g(y1), g(g(y2))) -> c3(F(g(y0), g(y1), g(y2))) Defined Rule Symbols:none Defined Pair Symbols: F_3 Compound Symbols: c1_1, c2_1, c3_1, c_1 ---------------------------------------- (47) CdtForwardInstantiationProof (BOTH BOUNDS(ID, ID)) Use forward instantiation to replace F(g(0), 1, z2) -> c1(F(0, 1, z2)) by F(g(0), 1, g(y0)) -> c1(F(0, 1, g(y0))) F(g(0), 1, g(g(y2))) -> c1(F(0, 1, g(g(y2)))) F(g(0), 1, g(g(g(y0)))) -> c1(F(0, 1, g(g(g(y0))))) ---------------------------------------- (48) Obligation: Complexity Dependency Tuples Problem Rules:none Tuples: F(g(z0), z1, g(y2)) -> c1(F(z0, z1, g(y2))) F(0, g(1), z2) -> c2(F(0, 1, z2)) F(z0, g(g(y1)), z2) -> c2(F(z0, g(y1), z2)) F(z0, g(z1), g(y2)) -> c2(F(z0, z1, g(y2))) F(g(0), g(1), z2) -> c2(F(g(0), 1, z2)) F(g(g(y0)), g(z1), z2) -> c2(F(g(g(y0)), z1, z2)) F(g(y0), g(g(y1)), z2) -> c2(F(g(y0), g(y1), z2)) F(g(y0), g(z1), g(y2)) -> c2(F(g(y0), z1, g(y2))) F(0, 1, g(z2)) -> c3(F(0, 1, z2)) F(z0, z1, g(g(y2))) -> c3(F(z0, z1, g(y2))) F(g(0), 1, g(z2)) -> c3(F(g(0), 1, z2)) F(g(g(y0)), z1, g(z2)) -> c3(F(g(g(y0)), z1, z2)) F(g(y0), g(y1), g(z2)) -> c3(F(g(y0), g(y1), z2)) F(g(y0), z1, g(g(y2))) -> c3(F(g(y0), z1, g(y2))) F(0, g(1), g(z2)) -> c3(F(0, g(1), z2)) F(z0, g(g(y1)), g(z2)) -> c3(F(z0, g(g(y1)), z2)) F(z0, g(y1), g(g(y2))) -> c3(F(z0, g(y1), g(y2))) F(g(0), g(1), g(z2)) -> c3(F(g(0), g(1), z2)) F(g(g(y0)), g(y1), g(z2)) -> c3(F(g(g(y0)), g(y1), z2)) F(g(y0), g(g(y1)), g(z2)) -> c3(F(g(y0), g(g(y1)), z2)) F(g(y0), g(y1), g(g(y2))) -> c3(F(g(y0), g(y1), g(y2))) F(g(g(0)), 1, z2) -> c1(F(g(0), 1, z2)) F(g(g(g(y0))), z1, z2) -> c1(F(g(g(y0)), z1, z2)) F(g(g(z0)), g(y1), z2) -> c1(F(g(z0), g(y1), z2)) F(g(g(z0)), z1, g(y2)) -> c1(F(g(z0), z1, g(y2))) F(g(g(z0)), g(g(y1)), z2) -> c1(F(g(z0), g(g(y1)), z2)) F(g(g(z0)), g(y1), g(y2)) -> c1(F(g(z0), g(y1), g(y2))) F(g(g(0)), g(1), z2) -> c1(F(g(0), g(1), z2)) F(g(g(g(y0))), g(y1), z2) -> c1(F(g(g(y0)), g(y1), z2)) F(g(g(z0)), z1, g(g(y2))) -> c1(F(g(z0), z1, g(g(y2)))) F(g(g(0)), 1, g(y0)) -> c1(F(g(0), 1, g(y0))) F(g(g(g(y0))), z1, g(y2)) -> c1(F(g(g(y0)), z1, g(y2))) F(g(g(z0)), g(g(y1)), g(y2)) -> c1(F(g(z0), g(g(y1)), g(y2))) F(g(g(z0)), g(y1), g(g(y2))) -> c1(F(g(z0), g(y1), g(g(y2)))) F(g(g(0)), g(1), g(y0)) -> c1(F(g(0), g(1), g(y0))) F(g(g(g(y0))), g(y1), g(y2)) -> c1(F(g(g(y0)), g(y1), g(y2))) F(g(0), g(1), z2) -> c1(F(0, g(1), z2)) F(g(z0), g(g(y1)), z2) -> c1(F(z0, g(g(y1)), z2)) F(g(z0), g(z1), g(y2)) -> c1(F(z0, g(z1), g(y2))) F(g(z0), g(z1), g(g(y2))) -> c1(F(z0, g(z1), g(g(y2)))) F(g(0), g(1), g(y0)) -> c1(F(0, g(1), g(y0))) F(g(z0), g(g(y1)), g(y2)) -> c1(F(z0, g(g(y1)), g(y2))) F(g(g(g(g(y0)))), g(z1), z2) -> c1(F(g(g(g(y0))), g(z1), z2)) F(g(g(g(y0))), g(g(y1)), z2) -> c1(F(g(g(y0)), g(g(y1)), z2)) F(g(g(g(0))), g(1), z2) -> c1(F(g(g(0)), g(1), z2)) F(g(g(g(y0))), g(z1), g(g(y2))) -> c1(F(g(g(y0)), g(z1), g(g(y2)))) F(g(g(g(g(y0)))), g(z1), g(y2)) -> c1(F(g(g(g(y0))), g(z1), g(y2))) F(g(g(g(y0))), g(g(y1)), g(y2)) -> c1(F(g(g(y0)), g(g(y1)), g(y2))) F(g(g(g(0))), g(1), g(y0)) -> c1(F(g(g(0)), g(1), g(y0))) F(0, 1, g(y2)) -> c(F(g(g(y2)), g(g(y2)), g(y2))) F(0, 1, g(g(y2))) -> c(F(g(g(g(y2))), g(g(g(y2))), g(g(y2)))) F(0, 1, g(g(g(y0)))) -> c(F(g(g(g(g(y0)))), g(g(g(g(y0)))), g(g(g(y0))))) F(g(0), 1, g(y0)) -> c1(F(0, 1, g(y0))) F(g(0), 1, g(g(y2))) -> c1(F(0, 1, g(g(y2)))) F(g(0), 1, g(g(g(y0)))) -> c1(F(0, 1, g(g(g(y0))))) S tuples: F(g(z0), z1, g(y2)) -> c1(F(z0, z1, g(y2))) F(0, g(1), z2) -> c2(F(0, 1, z2)) F(z0, g(g(y1)), z2) -> c2(F(z0, g(y1), z2)) F(z0, g(z1), g(y2)) -> c2(F(z0, z1, g(y2))) F(g(0), g(1), z2) -> c2(F(g(0), 1, z2)) F(g(g(y0)), g(z1), z2) -> c2(F(g(g(y0)), z1, z2)) F(g(y0), g(g(y1)), z2) -> c2(F(g(y0), g(y1), z2)) F(g(y0), g(z1), g(y2)) -> c2(F(g(y0), z1, g(y2))) F(g(g(0)), 1, z2) -> c1(F(g(0), 1, z2)) F(g(g(g(y0))), z1, z2) -> c1(F(g(g(y0)), z1, z2)) F(g(g(z0)), g(y1), z2) -> c1(F(g(z0), g(y1), z2)) F(g(g(z0)), z1, g(y2)) -> c1(F(g(z0), z1, g(y2))) F(g(g(z0)), g(g(y1)), z2) -> c1(F(g(z0), g(g(y1)), z2)) F(g(g(z0)), g(y1), g(y2)) -> c1(F(g(z0), g(y1), g(y2))) F(g(g(0)), g(1), z2) -> c1(F(g(0), g(1), z2)) F(g(g(g(y0))), g(y1), z2) -> c1(F(g(g(y0)), g(y1), z2)) F(g(g(z0)), z1, g(g(y2))) -> c1(F(g(z0), z1, g(g(y2)))) F(g(g(0)), 1, g(y0)) -> c1(F(g(0), 1, g(y0))) F(g(g(g(y0))), z1, g(y2)) -> c1(F(g(g(y0)), z1, g(y2))) F(g(g(z0)), g(g(y1)), g(y2)) -> c1(F(g(z0), g(g(y1)), g(y2))) F(g(g(z0)), g(y1), g(g(y2))) -> c1(F(g(z0), g(y1), g(g(y2)))) F(g(g(0)), g(1), g(y0)) -> c1(F(g(0), g(1), g(y0))) F(g(g(g(y0))), g(y1), g(y2)) -> c1(F(g(g(y0)), g(y1), g(y2))) F(g(0), g(1), z2) -> c1(F(0, g(1), z2)) F(g(z0), g(g(y1)), z2) -> c1(F(z0, g(g(y1)), z2)) F(g(z0), g(z1), g(y2)) -> c1(F(z0, g(z1), g(y2))) F(g(z0), g(z1), g(g(y2))) -> c1(F(z0, g(z1), g(g(y2)))) F(g(0), g(1), g(y0)) -> c1(F(0, g(1), g(y0))) F(g(z0), g(g(y1)), g(y2)) -> c1(F(z0, g(g(y1)), g(y2))) F(g(g(g(g(y0)))), g(z1), z2) -> c1(F(g(g(g(y0))), g(z1), z2)) F(g(g(g(y0))), g(g(y1)), z2) -> c1(F(g(g(y0)), g(g(y1)), z2)) F(g(g(g(0))), g(1), z2) -> c1(F(g(g(0)), g(1), z2)) F(g(g(g(y0))), g(z1), g(g(y2))) -> c1(F(g(g(y0)), g(z1), g(g(y2)))) F(g(g(g(g(y0)))), g(z1), g(y2)) -> c1(F(g(g(g(y0))), g(z1), g(y2))) F(g(g(g(y0))), g(g(y1)), g(y2)) -> c1(F(g(g(y0)), g(g(y1)), g(y2))) F(g(g(g(0))), g(1), g(y0)) -> c1(F(g(g(0)), g(1), g(y0))) F(0, 1, g(y2)) -> c(F(g(g(y2)), g(g(y2)), g(y2))) F(0, 1, g(g(y2))) -> c(F(g(g(g(y2))), g(g(g(y2))), g(g(y2)))) F(0, 1, g(g(g(y0)))) -> c(F(g(g(g(g(y0)))), g(g(g(g(y0)))), g(g(g(y0))))) F(g(0), 1, g(y0)) -> c1(F(0, 1, g(y0))) F(g(0), 1, g(g(y2))) -> c1(F(0, 1, g(g(y2)))) F(g(0), 1, g(g(g(y0)))) -> c1(F(0, 1, g(g(g(y0))))) K tuples: F(0, 1, g(z2)) -> c3(F(0, 1, z2)) F(z0, z1, g(g(y2))) -> c3(F(z0, z1, g(y2))) F(g(0), 1, g(z2)) -> c3(F(g(0), 1, z2)) F(g(g(y0)), z1, g(z2)) -> c3(F(g(g(y0)), z1, z2)) F(g(y0), g(y1), g(z2)) -> c3(F(g(y0), g(y1), z2)) F(g(y0), z1, g(g(y2))) -> c3(F(g(y0), z1, g(y2))) F(0, g(1), g(z2)) -> c3(F(0, g(1), z2)) F(z0, g(g(y1)), g(z2)) -> c3(F(z0, g(g(y1)), z2)) F(z0, g(y1), g(g(y2))) -> c3(F(z0, g(y1), g(y2))) F(g(0), g(1), g(z2)) -> c3(F(g(0), g(1), z2)) F(g(g(y0)), g(y1), g(z2)) -> c3(F(g(g(y0)), g(y1), z2)) F(g(y0), g(g(y1)), g(z2)) -> c3(F(g(y0), g(g(y1)), z2)) F(g(y0), g(y1), g(g(y2))) -> c3(F(g(y0), g(y1), g(y2))) Defined Rule Symbols:none Defined Pair Symbols: F_3 Compound Symbols: c1_1, c2_1, c3_1, c_1 ---------------------------------------- (49) CdtForwardInstantiationProof (BOTH BOUNDS(ID, ID)) Use forward instantiation to replace F(g(z0), z1, g(y2)) -> c1(F(z0, z1, g(y2))) by F(g(g(y0)), z1, g(z2)) -> c1(F(g(y0), z1, g(z2))) F(g(0), g(1), g(z2)) -> c1(F(0, g(1), g(z2))) F(g(z0), g(g(y1)), g(z2)) -> c1(F(z0, g(g(y1)), g(z2))) F(g(z0), g(y1), g(z2)) -> c1(F(z0, g(y1), g(z2))) F(g(g(0)), g(1), g(z2)) -> c1(F(g(0), g(1), g(z2))) F(g(g(g(y0))), g(y1), g(z2)) -> c1(F(g(g(y0)), g(y1), g(z2))) F(g(g(y0)), g(g(y1)), g(z2)) -> c1(F(g(y0), g(g(y1)), g(z2))) F(g(g(y0)), g(y1), g(z2)) -> c1(F(g(y0), g(y1), g(z2))) F(g(0), 1, g(z2)) -> c1(F(0, 1, g(z2))) F(g(z0), z1, g(g(y2))) -> c1(F(z0, z1, g(g(y2)))) F(g(g(0)), 1, g(z2)) -> c1(F(g(0), 1, g(z2))) F(g(g(g(y0))), z1, g(z2)) -> c1(F(g(g(y0)), z1, g(z2))) F(g(g(y0)), z1, g(g(y2))) -> c1(F(g(y0), z1, g(g(y2)))) F(g(z0), g(y1), g(g(y2))) -> c1(F(z0, g(y1), g(g(y2)))) F(g(g(y0)), g(y1), g(g(y2))) -> c1(F(g(y0), g(y1), g(g(y2)))) F(g(g(g(0))), 1, g(z2)) -> c1(F(g(g(0)), 1, g(z2))) F(g(g(g(g(y0)))), z1, g(z2)) -> c1(F(g(g(g(y0))), z1, g(z2))) F(g(g(g(y0))), g(g(y1)), g(z2)) -> c1(F(g(g(y0)), g(g(y1)), g(z2))) F(g(g(g(0))), g(1), g(z2)) -> c1(F(g(g(0)), g(1), g(z2))) F(g(g(g(g(y0)))), g(y1), g(z2)) -> c1(F(g(g(g(y0))), g(y1), g(z2))) F(g(g(g(y0))), z1, g(g(y2))) -> c1(F(g(g(y0)), z1, g(g(y2)))) F(g(g(g(y0))), g(y1), g(g(y2))) -> c1(F(g(g(y0)), g(y1), g(g(y2)))) F(g(g(g(g(g(y0))))), g(y1), g(z2)) -> c1(F(g(g(g(g(y0)))), g(y1), g(z2))) F(g(g(g(g(y0)))), g(g(y1)), g(z2)) -> c1(F(g(g(g(y0))), g(g(y1)), g(z2))) F(g(g(g(g(0)))), g(1), g(z2)) -> c1(F(g(g(g(0))), g(1), g(z2))) F(g(g(g(g(y0)))), g(y1), g(g(y2))) -> c1(F(g(g(g(y0))), g(y1), g(g(y2)))) F(g(0), 1, g(g(y0))) -> c1(F(0, 1, g(g(y0)))) F(g(0), 1, g(g(g(y0)))) -> c1(F(0, 1, g(g(g(y0))))) F(g(g(0)), 1, g(g(y0))) -> c1(F(g(0), 1, g(g(y0)))) F(g(g(0)), 1, g(g(g(y0)))) -> c1(F(g(0), 1, g(g(g(y0))))) ---------------------------------------- (50) Obligation: Complexity Dependency Tuples Problem Rules:none Tuples: F(0, g(1), z2) -> c2(F(0, 1, z2)) F(z0, g(g(y1)), z2) -> c2(F(z0, g(y1), z2)) F(z0, g(z1), g(y2)) -> c2(F(z0, z1, g(y2))) F(g(0), g(1), z2) -> c2(F(g(0), 1, z2)) F(g(g(y0)), g(z1), z2) -> c2(F(g(g(y0)), z1, z2)) F(g(y0), g(g(y1)), z2) -> c2(F(g(y0), g(y1), z2)) F(g(y0), g(z1), g(y2)) -> c2(F(g(y0), z1, g(y2))) F(0, 1, g(z2)) -> c3(F(0, 1, z2)) F(z0, z1, g(g(y2))) -> c3(F(z0, z1, g(y2))) F(g(0), 1, g(z2)) -> c3(F(g(0), 1, z2)) F(g(g(y0)), z1, g(z2)) -> c3(F(g(g(y0)), z1, z2)) F(g(y0), g(y1), g(z2)) -> c3(F(g(y0), g(y1), z2)) F(g(y0), z1, g(g(y2))) -> c3(F(g(y0), z1, g(y2))) F(0, g(1), g(z2)) -> c3(F(0, g(1), z2)) F(z0, g(g(y1)), g(z2)) -> c3(F(z0, g(g(y1)), z2)) F(z0, g(y1), g(g(y2))) -> c3(F(z0, g(y1), g(y2))) F(g(0), g(1), g(z2)) -> c3(F(g(0), g(1), z2)) F(g(g(y0)), g(y1), g(z2)) -> c3(F(g(g(y0)), g(y1), z2)) F(g(y0), g(g(y1)), g(z2)) -> c3(F(g(y0), g(g(y1)), z2)) F(g(y0), g(y1), g(g(y2))) -> c3(F(g(y0), g(y1), g(y2))) F(g(g(0)), 1, z2) -> c1(F(g(0), 1, z2)) F(g(g(g(y0))), z1, z2) -> c1(F(g(g(y0)), z1, z2)) F(g(g(z0)), g(y1), z2) -> c1(F(g(z0), g(y1), z2)) F(g(g(z0)), z1, g(y2)) -> c1(F(g(z0), z1, g(y2))) F(g(g(z0)), g(g(y1)), z2) -> c1(F(g(z0), g(g(y1)), z2)) F(g(g(z0)), g(y1), g(y2)) -> c1(F(g(z0), g(y1), g(y2))) F(g(g(0)), g(1), z2) -> c1(F(g(0), g(1), z2)) F(g(g(g(y0))), g(y1), z2) -> c1(F(g(g(y0)), g(y1), z2)) F(g(g(z0)), z1, g(g(y2))) -> c1(F(g(z0), z1, g(g(y2)))) F(g(g(0)), 1, g(y0)) -> c1(F(g(0), 1, g(y0))) F(g(g(g(y0))), z1, g(y2)) -> c1(F(g(g(y0)), z1, g(y2))) F(g(g(z0)), g(g(y1)), g(y2)) -> c1(F(g(z0), g(g(y1)), g(y2))) F(g(g(z0)), g(y1), g(g(y2))) -> c1(F(g(z0), g(y1), g(g(y2)))) F(g(g(0)), g(1), g(y0)) -> c1(F(g(0), g(1), g(y0))) F(g(g(g(y0))), g(y1), g(y2)) -> c1(F(g(g(y0)), g(y1), g(y2))) F(g(0), g(1), z2) -> c1(F(0, g(1), z2)) F(g(z0), g(g(y1)), z2) -> c1(F(z0, g(g(y1)), z2)) F(g(z0), g(z1), g(y2)) -> c1(F(z0, g(z1), g(y2))) F(g(z0), g(z1), g(g(y2))) -> c1(F(z0, g(z1), g(g(y2)))) F(g(0), g(1), g(y0)) -> c1(F(0, g(1), g(y0))) F(g(z0), g(g(y1)), g(y2)) -> c1(F(z0, g(g(y1)), g(y2))) F(g(g(g(g(y0)))), g(z1), z2) -> c1(F(g(g(g(y0))), g(z1), z2)) F(g(g(g(y0))), g(g(y1)), z2) -> c1(F(g(g(y0)), g(g(y1)), z2)) F(g(g(g(0))), g(1), z2) -> c1(F(g(g(0)), g(1), z2)) F(g(g(g(y0))), g(z1), g(g(y2))) -> c1(F(g(g(y0)), g(z1), g(g(y2)))) F(g(g(g(g(y0)))), g(z1), g(y2)) -> c1(F(g(g(g(y0))), g(z1), g(y2))) F(g(g(g(y0))), g(g(y1)), g(y2)) -> c1(F(g(g(y0)), g(g(y1)), g(y2))) F(g(g(g(0))), g(1), g(y0)) -> c1(F(g(g(0)), g(1), g(y0))) F(0, 1, g(y2)) -> c(F(g(g(y2)), g(g(y2)), g(y2))) F(0, 1, g(g(y2))) -> c(F(g(g(g(y2))), g(g(g(y2))), g(g(y2)))) F(0, 1, g(g(g(y0)))) -> c(F(g(g(g(g(y0)))), g(g(g(g(y0)))), g(g(g(y0))))) F(g(0), 1, g(y0)) -> c1(F(0, 1, g(y0))) F(g(0), 1, g(g(y2))) -> c1(F(0, 1, g(g(y2)))) F(g(0), 1, g(g(g(y0)))) -> c1(F(0, 1, g(g(g(y0))))) F(g(z0), z1, g(g(y2))) -> c1(F(z0, z1, g(g(y2)))) F(g(g(g(0))), 1, g(z2)) -> c1(F(g(g(0)), 1, g(z2))) F(g(g(g(g(y0)))), z1, g(z2)) -> c1(F(g(g(g(y0))), z1, g(z2))) F(g(g(g(y0))), z1, g(g(y2))) -> c1(F(g(g(y0)), z1, g(g(y2)))) F(g(g(g(g(g(y0))))), g(y1), g(z2)) -> c1(F(g(g(g(g(y0)))), g(y1), g(z2))) F(g(g(g(g(y0)))), g(g(y1)), g(z2)) -> c1(F(g(g(g(y0))), g(g(y1)), g(z2))) F(g(g(g(g(0)))), g(1), g(z2)) -> c1(F(g(g(g(0))), g(1), g(z2))) F(g(g(g(g(y0)))), g(y1), g(g(y2))) -> c1(F(g(g(g(y0))), g(y1), g(g(y2)))) F(g(g(0)), 1, g(g(y0))) -> c1(F(g(0), 1, g(g(y0)))) F(g(g(0)), 1, g(g(g(y0)))) -> c1(F(g(0), 1, g(g(g(y0))))) S tuples: F(0, g(1), z2) -> c2(F(0, 1, z2)) F(z0, g(g(y1)), z2) -> c2(F(z0, g(y1), z2)) F(z0, g(z1), g(y2)) -> c2(F(z0, z1, g(y2))) F(g(0), g(1), z2) -> c2(F(g(0), 1, z2)) F(g(g(y0)), g(z1), z2) -> c2(F(g(g(y0)), z1, z2)) F(g(y0), g(g(y1)), z2) -> c2(F(g(y0), g(y1), z2)) F(g(y0), g(z1), g(y2)) -> c2(F(g(y0), z1, g(y2))) F(g(g(0)), 1, z2) -> c1(F(g(0), 1, z2)) F(g(g(g(y0))), z1, z2) -> c1(F(g(g(y0)), z1, z2)) F(g(g(z0)), g(y1), z2) -> c1(F(g(z0), g(y1), z2)) F(g(g(z0)), z1, g(y2)) -> c1(F(g(z0), z1, g(y2))) F(g(g(z0)), g(g(y1)), z2) -> c1(F(g(z0), g(g(y1)), z2)) F(g(g(z0)), g(y1), g(y2)) -> c1(F(g(z0), g(y1), g(y2))) F(g(g(0)), g(1), z2) -> c1(F(g(0), g(1), z2)) F(g(g(g(y0))), g(y1), z2) -> c1(F(g(g(y0)), g(y1), z2)) F(g(g(z0)), z1, g(g(y2))) -> c1(F(g(z0), z1, g(g(y2)))) F(g(g(0)), 1, g(y0)) -> c1(F(g(0), 1, g(y0))) F(g(g(g(y0))), z1, g(y2)) -> c1(F(g(g(y0)), z1, g(y2))) F(g(g(z0)), g(g(y1)), g(y2)) -> c1(F(g(z0), g(g(y1)), g(y2))) F(g(g(z0)), g(y1), g(g(y2))) -> c1(F(g(z0), g(y1), g(g(y2)))) F(g(g(0)), g(1), g(y0)) -> c1(F(g(0), g(1), g(y0))) F(g(g(g(y0))), g(y1), g(y2)) -> c1(F(g(g(y0)), g(y1), g(y2))) F(g(0), g(1), z2) -> c1(F(0, g(1), z2)) F(g(z0), g(g(y1)), z2) -> c1(F(z0, g(g(y1)), z2)) F(g(z0), g(z1), g(y2)) -> c1(F(z0, g(z1), g(y2))) F(g(z0), g(z1), g(g(y2))) -> c1(F(z0, g(z1), g(g(y2)))) F(g(0), g(1), g(y0)) -> c1(F(0, g(1), g(y0))) F(g(z0), g(g(y1)), g(y2)) -> c1(F(z0, g(g(y1)), g(y2))) F(g(g(g(g(y0)))), g(z1), z2) -> c1(F(g(g(g(y0))), g(z1), z2)) F(g(g(g(y0))), g(g(y1)), z2) -> c1(F(g(g(y0)), g(g(y1)), z2)) F(g(g(g(0))), g(1), z2) -> c1(F(g(g(0)), g(1), z2)) F(g(g(g(y0))), g(z1), g(g(y2))) -> c1(F(g(g(y0)), g(z1), g(g(y2)))) F(g(g(g(g(y0)))), g(z1), g(y2)) -> c1(F(g(g(g(y0))), g(z1), g(y2))) F(g(g(g(y0))), g(g(y1)), g(y2)) -> c1(F(g(g(y0)), g(g(y1)), g(y2))) F(g(g(g(0))), g(1), g(y0)) -> c1(F(g(g(0)), g(1), g(y0))) F(0, 1, g(y2)) -> c(F(g(g(y2)), g(g(y2)), g(y2))) F(0, 1, g(g(y2))) -> c(F(g(g(g(y2))), g(g(g(y2))), g(g(y2)))) F(0, 1, g(g(g(y0)))) -> c(F(g(g(g(g(y0)))), g(g(g(g(y0)))), g(g(g(y0))))) F(g(0), 1, g(y0)) -> c1(F(0, 1, g(y0))) F(g(0), 1, g(g(y2))) -> c1(F(0, 1, g(g(y2)))) F(g(0), 1, g(g(g(y0)))) -> c1(F(0, 1, g(g(g(y0))))) F(g(z0), z1, g(g(y2))) -> c1(F(z0, z1, g(g(y2)))) F(g(g(g(0))), 1, g(z2)) -> c1(F(g(g(0)), 1, g(z2))) F(g(g(g(g(y0)))), z1, g(z2)) -> c1(F(g(g(g(y0))), z1, g(z2))) F(g(g(g(y0))), z1, g(g(y2))) -> c1(F(g(g(y0)), z1, g(g(y2)))) F(g(g(g(g(g(y0))))), g(y1), g(z2)) -> c1(F(g(g(g(g(y0)))), g(y1), g(z2))) F(g(g(g(g(y0)))), g(g(y1)), g(z2)) -> c1(F(g(g(g(y0))), g(g(y1)), g(z2))) F(g(g(g(g(0)))), g(1), g(z2)) -> c1(F(g(g(g(0))), g(1), g(z2))) F(g(g(g(g(y0)))), g(y1), g(g(y2))) -> c1(F(g(g(g(y0))), g(y1), g(g(y2)))) F(g(g(0)), 1, g(g(y0))) -> c1(F(g(0), 1, g(g(y0)))) F(g(g(0)), 1, g(g(g(y0)))) -> c1(F(g(0), 1, g(g(g(y0))))) K tuples: F(0, 1, g(z2)) -> c3(F(0, 1, z2)) F(z0, z1, g(g(y2))) -> c3(F(z0, z1, g(y2))) F(g(0), 1, g(z2)) -> c3(F(g(0), 1, z2)) F(g(g(y0)), z1, g(z2)) -> c3(F(g(g(y0)), z1, z2)) F(g(y0), g(y1), g(z2)) -> c3(F(g(y0), g(y1), z2)) F(g(y0), z1, g(g(y2))) -> c3(F(g(y0), z1, g(y2))) F(0, g(1), g(z2)) -> c3(F(0, g(1), z2)) F(z0, g(g(y1)), g(z2)) -> c3(F(z0, g(g(y1)), z2)) F(z0, g(y1), g(g(y2))) -> c3(F(z0, g(y1), g(y2))) F(g(0), g(1), g(z2)) -> c3(F(g(0), g(1), z2)) F(g(g(y0)), g(y1), g(z2)) -> c3(F(g(g(y0)), g(y1), z2)) F(g(y0), g(g(y1)), g(z2)) -> c3(F(g(y0), g(g(y1)), z2)) F(g(y0), g(y1), g(g(y2))) -> c3(F(g(y0), g(y1), g(y2))) Defined Rule Symbols:none Defined Pair Symbols: F_3 Compound Symbols: c2_1, c3_1, c1_1, c_1 ---------------------------------------- (51) CdtForwardInstantiationProof (BOTH BOUNDS(ID, ID)) Use forward instantiation to replace F(0, g(1), z2) -> c2(F(0, 1, z2)) by F(0, g(1), g(y0)) -> c2(F(0, 1, g(y0))) F(0, g(1), g(g(y2))) -> c2(F(0, 1, g(g(y2)))) F(0, g(1), g(g(g(y0)))) -> c2(F(0, 1, g(g(g(y0))))) ---------------------------------------- (52) Obligation: Complexity Dependency Tuples Problem Rules:none Tuples: F(z0, g(g(y1)), z2) -> c2(F(z0, g(y1), z2)) F(z0, g(z1), g(y2)) -> c2(F(z0, z1, g(y2))) F(g(0), g(1), z2) -> c2(F(g(0), 1, z2)) F(g(g(y0)), g(z1), z2) -> c2(F(g(g(y0)), z1, z2)) F(g(y0), g(g(y1)), z2) -> c2(F(g(y0), g(y1), z2)) F(g(y0), g(z1), g(y2)) -> c2(F(g(y0), z1, g(y2))) F(0, 1, g(z2)) -> c3(F(0, 1, z2)) F(z0, z1, g(g(y2))) -> c3(F(z0, z1, g(y2))) F(g(0), 1, g(z2)) -> c3(F(g(0), 1, z2)) F(g(g(y0)), z1, g(z2)) -> c3(F(g(g(y0)), z1, z2)) F(g(y0), g(y1), g(z2)) -> c3(F(g(y0), g(y1), z2)) F(g(y0), z1, g(g(y2))) -> c3(F(g(y0), z1, g(y2))) F(0, g(1), g(z2)) -> c3(F(0, g(1), z2)) F(z0, g(g(y1)), g(z2)) -> c3(F(z0, g(g(y1)), z2)) F(z0, g(y1), g(g(y2))) -> c3(F(z0, g(y1), g(y2))) F(g(0), g(1), g(z2)) -> c3(F(g(0), g(1), z2)) F(g(g(y0)), g(y1), g(z2)) -> c3(F(g(g(y0)), g(y1), z2)) F(g(y0), g(g(y1)), g(z2)) -> c3(F(g(y0), g(g(y1)), z2)) F(g(y0), g(y1), g(g(y2))) -> c3(F(g(y0), g(y1), g(y2))) F(g(g(0)), 1, z2) -> c1(F(g(0), 1, z2)) F(g(g(g(y0))), z1, z2) -> c1(F(g(g(y0)), z1, z2)) F(g(g(z0)), g(y1), z2) -> c1(F(g(z0), g(y1), z2)) F(g(g(z0)), z1, g(y2)) -> c1(F(g(z0), z1, g(y2))) F(g(g(z0)), g(g(y1)), z2) -> c1(F(g(z0), g(g(y1)), z2)) F(g(g(z0)), g(y1), g(y2)) -> c1(F(g(z0), g(y1), g(y2))) F(g(g(0)), g(1), z2) -> c1(F(g(0), g(1), z2)) F(g(g(g(y0))), g(y1), z2) -> c1(F(g(g(y0)), g(y1), z2)) F(g(g(z0)), z1, g(g(y2))) -> c1(F(g(z0), z1, g(g(y2)))) F(g(g(0)), 1, g(y0)) -> c1(F(g(0), 1, g(y0))) F(g(g(g(y0))), z1, g(y2)) -> c1(F(g(g(y0)), z1, g(y2))) F(g(g(z0)), g(g(y1)), g(y2)) -> c1(F(g(z0), g(g(y1)), g(y2))) F(g(g(z0)), g(y1), g(g(y2))) -> c1(F(g(z0), g(y1), g(g(y2)))) F(g(g(0)), g(1), g(y0)) -> c1(F(g(0), g(1), g(y0))) F(g(g(g(y0))), g(y1), g(y2)) -> c1(F(g(g(y0)), g(y1), g(y2))) F(g(0), g(1), z2) -> c1(F(0, g(1), z2)) F(g(z0), g(g(y1)), z2) -> c1(F(z0, g(g(y1)), z2)) F(g(z0), g(z1), g(y2)) -> c1(F(z0, g(z1), g(y2))) F(g(z0), g(z1), g(g(y2))) -> c1(F(z0, g(z1), g(g(y2)))) F(g(0), g(1), g(y0)) -> c1(F(0, g(1), g(y0))) F(g(z0), g(g(y1)), g(y2)) -> c1(F(z0, g(g(y1)), g(y2))) F(g(g(g(g(y0)))), g(z1), z2) -> c1(F(g(g(g(y0))), g(z1), z2)) F(g(g(g(y0))), g(g(y1)), z2) -> c1(F(g(g(y0)), g(g(y1)), z2)) F(g(g(g(0))), g(1), z2) -> c1(F(g(g(0)), g(1), z2)) F(g(g(g(y0))), g(z1), g(g(y2))) -> c1(F(g(g(y0)), g(z1), g(g(y2)))) F(g(g(g(g(y0)))), g(z1), g(y2)) -> c1(F(g(g(g(y0))), g(z1), g(y2))) F(g(g(g(y0))), g(g(y1)), g(y2)) -> c1(F(g(g(y0)), g(g(y1)), g(y2))) F(g(g(g(0))), g(1), g(y0)) -> c1(F(g(g(0)), g(1), g(y0))) F(0, 1, g(y2)) -> c(F(g(g(y2)), g(g(y2)), g(y2))) F(0, 1, g(g(y2))) -> c(F(g(g(g(y2))), g(g(g(y2))), g(g(y2)))) F(0, 1, g(g(g(y0)))) -> c(F(g(g(g(g(y0)))), g(g(g(g(y0)))), g(g(g(y0))))) F(g(0), 1, g(y0)) -> c1(F(0, 1, g(y0))) F(g(0), 1, g(g(y2))) -> c1(F(0, 1, g(g(y2)))) F(g(0), 1, g(g(g(y0)))) -> c1(F(0, 1, g(g(g(y0))))) F(g(z0), z1, g(g(y2))) -> c1(F(z0, z1, g(g(y2)))) F(g(g(g(0))), 1, g(z2)) -> c1(F(g(g(0)), 1, g(z2))) F(g(g(g(g(y0)))), z1, g(z2)) -> c1(F(g(g(g(y0))), z1, g(z2))) F(g(g(g(y0))), z1, g(g(y2))) -> c1(F(g(g(y0)), z1, g(g(y2)))) F(g(g(g(g(g(y0))))), g(y1), g(z2)) -> c1(F(g(g(g(g(y0)))), g(y1), g(z2))) F(g(g(g(g(y0)))), g(g(y1)), g(z2)) -> c1(F(g(g(g(y0))), g(g(y1)), g(z2))) F(g(g(g(g(0)))), g(1), g(z2)) -> c1(F(g(g(g(0))), g(1), g(z2))) F(g(g(g(g(y0)))), g(y1), g(g(y2))) -> c1(F(g(g(g(y0))), g(y1), g(g(y2)))) F(g(g(0)), 1, g(g(y0))) -> c1(F(g(0), 1, g(g(y0)))) F(g(g(0)), 1, g(g(g(y0)))) -> c1(F(g(0), 1, g(g(g(y0))))) F(0, g(1), g(y0)) -> c2(F(0, 1, g(y0))) F(0, g(1), g(g(y2))) -> c2(F(0, 1, g(g(y2)))) F(0, g(1), g(g(g(y0)))) -> c2(F(0, 1, g(g(g(y0))))) S tuples: F(z0, g(g(y1)), z2) -> c2(F(z0, g(y1), z2)) F(z0, g(z1), g(y2)) -> c2(F(z0, z1, g(y2))) F(g(0), g(1), z2) -> c2(F(g(0), 1, z2)) F(g(g(y0)), g(z1), z2) -> c2(F(g(g(y0)), z1, z2)) F(g(y0), g(g(y1)), z2) -> c2(F(g(y0), g(y1), z2)) F(g(y0), g(z1), g(y2)) -> c2(F(g(y0), z1, g(y2))) F(g(g(0)), 1, z2) -> c1(F(g(0), 1, z2)) F(g(g(g(y0))), z1, z2) -> c1(F(g(g(y0)), z1, z2)) F(g(g(z0)), g(y1), z2) -> c1(F(g(z0), g(y1), z2)) F(g(g(z0)), z1, g(y2)) -> c1(F(g(z0), z1, g(y2))) F(g(g(z0)), g(g(y1)), z2) -> c1(F(g(z0), g(g(y1)), z2)) F(g(g(z0)), g(y1), g(y2)) -> c1(F(g(z0), g(y1), g(y2))) F(g(g(0)), g(1), z2) -> c1(F(g(0), g(1), z2)) F(g(g(g(y0))), g(y1), z2) -> c1(F(g(g(y0)), g(y1), z2)) F(g(g(z0)), z1, g(g(y2))) -> c1(F(g(z0), z1, g(g(y2)))) F(g(g(0)), 1, g(y0)) -> c1(F(g(0), 1, g(y0))) F(g(g(g(y0))), z1, g(y2)) -> c1(F(g(g(y0)), z1, g(y2))) F(g(g(z0)), g(g(y1)), g(y2)) -> c1(F(g(z0), g(g(y1)), g(y2))) F(g(g(z0)), g(y1), g(g(y2))) -> c1(F(g(z0), g(y1), g(g(y2)))) F(g(g(0)), g(1), g(y0)) -> c1(F(g(0), g(1), g(y0))) F(g(g(g(y0))), g(y1), g(y2)) -> c1(F(g(g(y0)), g(y1), g(y2))) F(g(0), g(1), z2) -> c1(F(0, g(1), z2)) F(g(z0), g(g(y1)), z2) -> c1(F(z0, g(g(y1)), z2)) F(g(z0), g(z1), g(y2)) -> c1(F(z0, g(z1), g(y2))) F(g(z0), g(z1), g(g(y2))) -> c1(F(z0, g(z1), g(g(y2)))) F(g(0), g(1), g(y0)) -> c1(F(0, g(1), g(y0))) F(g(z0), g(g(y1)), g(y2)) -> c1(F(z0, g(g(y1)), g(y2))) F(g(g(g(g(y0)))), g(z1), z2) -> c1(F(g(g(g(y0))), g(z1), z2)) F(g(g(g(y0))), g(g(y1)), z2) -> c1(F(g(g(y0)), g(g(y1)), z2)) F(g(g(g(0))), g(1), z2) -> c1(F(g(g(0)), g(1), z2)) F(g(g(g(y0))), g(z1), g(g(y2))) -> c1(F(g(g(y0)), g(z1), g(g(y2)))) F(g(g(g(g(y0)))), g(z1), g(y2)) -> c1(F(g(g(g(y0))), g(z1), g(y2))) F(g(g(g(y0))), g(g(y1)), g(y2)) -> c1(F(g(g(y0)), g(g(y1)), g(y2))) F(g(g(g(0))), g(1), g(y0)) -> c1(F(g(g(0)), g(1), g(y0))) F(0, 1, g(y2)) -> c(F(g(g(y2)), g(g(y2)), g(y2))) F(0, 1, g(g(y2))) -> c(F(g(g(g(y2))), g(g(g(y2))), g(g(y2)))) F(0, 1, g(g(g(y0)))) -> c(F(g(g(g(g(y0)))), g(g(g(g(y0)))), g(g(g(y0))))) F(g(0), 1, g(y0)) -> c1(F(0, 1, g(y0))) F(g(0), 1, g(g(y2))) -> c1(F(0, 1, g(g(y2)))) F(g(0), 1, g(g(g(y0)))) -> c1(F(0, 1, g(g(g(y0))))) F(g(z0), z1, g(g(y2))) -> c1(F(z0, z1, g(g(y2)))) F(g(g(g(0))), 1, g(z2)) -> c1(F(g(g(0)), 1, g(z2))) F(g(g(g(g(y0)))), z1, g(z2)) -> c1(F(g(g(g(y0))), z1, g(z2))) F(g(g(g(y0))), z1, g(g(y2))) -> c1(F(g(g(y0)), z1, g(g(y2)))) F(g(g(g(g(g(y0))))), g(y1), g(z2)) -> c1(F(g(g(g(g(y0)))), g(y1), g(z2))) F(g(g(g(g(y0)))), g(g(y1)), g(z2)) -> c1(F(g(g(g(y0))), g(g(y1)), g(z2))) F(g(g(g(g(0)))), g(1), g(z2)) -> c1(F(g(g(g(0))), g(1), g(z2))) F(g(g(g(g(y0)))), g(y1), g(g(y2))) -> c1(F(g(g(g(y0))), g(y1), g(g(y2)))) F(g(g(0)), 1, g(g(y0))) -> c1(F(g(0), 1, g(g(y0)))) F(g(g(0)), 1, g(g(g(y0)))) -> c1(F(g(0), 1, g(g(g(y0))))) F(0, g(1), g(y0)) -> c2(F(0, 1, g(y0))) F(0, g(1), g(g(y2))) -> c2(F(0, 1, g(g(y2)))) F(0, g(1), g(g(g(y0)))) -> c2(F(0, 1, g(g(g(y0))))) K tuples: F(0, 1, g(z2)) -> c3(F(0, 1, z2)) F(z0, z1, g(g(y2))) -> c3(F(z0, z1, g(y2))) F(g(0), 1, g(z2)) -> c3(F(g(0), 1, z2)) F(g(g(y0)), z1, g(z2)) -> c3(F(g(g(y0)), z1, z2)) F(g(y0), g(y1), g(z2)) -> c3(F(g(y0), g(y1), z2)) F(g(y0), z1, g(g(y2))) -> c3(F(g(y0), z1, g(y2))) F(0, g(1), g(z2)) -> c3(F(0, g(1), z2)) F(z0, g(g(y1)), g(z2)) -> c3(F(z0, g(g(y1)), z2)) F(z0, g(y1), g(g(y2))) -> c3(F(z0, g(y1), g(y2))) F(g(0), g(1), g(z2)) -> c3(F(g(0), g(1), z2)) F(g(g(y0)), g(y1), g(z2)) -> c3(F(g(g(y0)), g(y1), z2)) F(g(y0), g(g(y1)), g(z2)) -> c3(F(g(y0), g(g(y1)), z2)) F(g(y0), g(y1), g(g(y2))) -> c3(F(g(y0), g(y1), g(y2))) Defined Rule Symbols:none Defined Pair Symbols: F_3 Compound Symbols: c2_1, c3_1, c1_1, c_1 ---------------------------------------- (53) CdtForwardInstantiationProof (BOTH BOUNDS(ID, ID)) Use forward instantiation to replace F(z0, g(g(y1)), z2) -> c2(F(z0, g(y1), z2)) by F(z0, g(g(g(y1))), z2) -> c2(F(z0, g(g(y1)), z2)) F(z0, g(g(z1)), g(y2)) -> c2(F(z0, g(z1), g(y2))) F(g(0), g(g(1)), z2) -> c2(F(g(0), g(1), z2)) F(g(g(y0)), g(g(z1)), z2) -> c2(F(g(g(y0)), g(z1), z2)) F(g(y0), g(g(g(y1))), z2) -> c2(F(g(y0), g(g(y1)), z2)) F(g(y0), g(g(z1)), g(y2)) -> c2(F(g(y0), g(z1), g(y2))) F(z0, g(g(z1)), g(g(y2))) -> c2(F(z0, g(z1), g(g(y2)))) F(g(g(y0)), g(g(z1)), g(y2)) -> c2(F(g(g(y0)), g(z1), g(y2))) F(g(y0), g(g(z1)), g(g(y2))) -> c2(F(g(y0), g(z1), g(g(y2)))) F(0, g(g(1)), g(y0)) -> c2(F(0, g(1), g(y0))) F(z0, g(g(g(y1))), g(y2)) -> c2(F(z0, g(g(y1)), g(y2))) F(g(0), g(g(1)), g(y0)) -> c2(F(g(0), g(1), g(y0))) F(g(y0), g(g(g(y1))), g(y2)) -> c2(F(g(y0), g(g(y1)), g(y2))) F(g(g(g(y0))), g(g(z1)), z2) -> c2(F(g(g(g(y0))), g(z1), z2)) F(g(g(y0)), g(g(g(y1))), z2) -> c2(F(g(g(y0)), g(g(y1)), z2)) F(g(g(0)), g(g(1)), z2) -> c2(F(g(g(0)), g(1), z2)) F(g(g(y0)), g(g(z1)), g(g(y2))) -> c2(F(g(g(y0)), g(z1), g(g(y2)))) F(g(g(g(y0))), g(g(z1)), g(y2)) -> c2(F(g(g(g(y0))), g(z1), g(y2))) F(g(g(y0)), g(g(g(y1))), g(y2)) -> c2(F(g(g(y0)), g(g(y1)), g(y2))) F(g(g(0)), g(g(1)), g(y0)) -> c2(F(g(g(0)), g(1), g(y0))) F(g(g(g(g(y0)))), g(g(z1)), z2) -> c2(F(g(g(g(g(y0)))), g(z1), z2)) F(g(g(g(y0))), g(g(g(y1))), z2) -> c2(F(g(g(g(y0))), g(g(y1)), z2)) F(g(g(g(0))), g(g(1)), z2) -> c2(F(g(g(g(0))), g(1), z2)) F(g(g(g(y0))), g(g(z1)), g(g(y2))) -> c2(F(g(g(g(y0))), g(z1), g(g(y2)))) F(g(g(g(g(y0)))), g(g(z1)), g(y2)) -> c2(F(g(g(g(g(y0)))), g(z1), g(y2))) F(g(g(g(y0))), g(g(g(y1))), g(y2)) -> c2(F(g(g(g(y0))), g(g(y1)), g(y2))) F(g(g(g(0))), g(g(1)), g(y0)) -> c2(F(g(g(g(0))), g(1), g(y0))) F(g(g(g(g(g(y0))))), g(g(z1)), g(y2)) -> c2(F(g(g(g(g(g(y0))))), g(z1), g(y2))) F(g(g(g(g(y0)))), g(g(g(y1))), g(y2)) -> c2(F(g(g(g(g(y0)))), g(g(y1)), g(y2))) F(g(g(g(g(0)))), g(g(1)), g(y0)) -> c2(F(g(g(g(g(0)))), g(1), g(y0))) F(g(g(g(g(y0)))), g(g(z1)), g(g(y2))) -> c2(F(g(g(g(g(y0)))), g(z1), g(g(y2)))) F(0, g(g(1)), g(g(y0))) -> c2(F(0, g(1), g(g(y0)))) F(0, g(g(1)), g(g(g(y0)))) -> c2(F(0, g(1), g(g(g(y0))))) ---------------------------------------- (54) Obligation: Complexity Dependency Tuples Problem Rules:none Tuples: F(z0, g(z1), g(y2)) -> c2(F(z0, z1, g(y2))) F(g(0), g(1), z2) -> c2(F(g(0), 1, z2)) F(g(g(y0)), g(z1), z2) -> c2(F(g(g(y0)), z1, z2)) F(g(y0), g(g(y1)), z2) -> c2(F(g(y0), g(y1), z2)) F(g(y0), g(z1), g(y2)) -> c2(F(g(y0), z1, g(y2))) F(0, 1, g(z2)) -> c3(F(0, 1, z2)) F(z0, z1, g(g(y2))) -> c3(F(z0, z1, g(y2))) F(g(0), 1, g(z2)) -> c3(F(g(0), 1, z2)) F(g(g(y0)), z1, g(z2)) -> c3(F(g(g(y0)), z1, z2)) F(g(y0), g(y1), g(z2)) -> c3(F(g(y0), g(y1), z2)) F(g(y0), z1, g(g(y2))) -> c3(F(g(y0), z1, g(y2))) F(0, g(1), g(z2)) -> c3(F(0, g(1), z2)) F(z0, g(g(y1)), g(z2)) -> c3(F(z0, g(g(y1)), z2)) F(z0, g(y1), g(g(y2))) -> c3(F(z0, g(y1), g(y2))) F(g(0), g(1), g(z2)) -> c3(F(g(0), g(1), z2)) F(g(g(y0)), g(y1), g(z2)) -> c3(F(g(g(y0)), g(y1), z2)) F(g(y0), g(g(y1)), g(z2)) -> c3(F(g(y0), g(g(y1)), z2)) F(g(y0), g(y1), g(g(y2))) -> c3(F(g(y0), g(y1), g(y2))) F(g(g(0)), 1, z2) -> c1(F(g(0), 1, z2)) F(g(g(g(y0))), z1, z2) -> c1(F(g(g(y0)), z1, z2)) F(g(g(z0)), g(y1), z2) -> c1(F(g(z0), g(y1), z2)) F(g(g(z0)), z1, g(y2)) -> c1(F(g(z0), z1, g(y2))) F(g(g(z0)), g(g(y1)), z2) -> c1(F(g(z0), g(g(y1)), z2)) F(g(g(z0)), g(y1), g(y2)) -> c1(F(g(z0), g(y1), g(y2))) F(g(g(0)), g(1), z2) -> c1(F(g(0), g(1), z2)) F(g(g(g(y0))), g(y1), z2) -> c1(F(g(g(y0)), g(y1), z2)) F(g(g(z0)), z1, g(g(y2))) -> c1(F(g(z0), z1, g(g(y2)))) F(g(g(0)), 1, g(y0)) -> c1(F(g(0), 1, g(y0))) F(g(g(g(y0))), z1, g(y2)) -> c1(F(g(g(y0)), z1, g(y2))) F(g(g(z0)), g(g(y1)), g(y2)) -> c1(F(g(z0), g(g(y1)), g(y2))) F(g(g(z0)), g(y1), g(g(y2))) -> c1(F(g(z0), g(y1), g(g(y2)))) F(g(g(0)), g(1), g(y0)) -> c1(F(g(0), g(1), g(y0))) F(g(g(g(y0))), g(y1), g(y2)) -> c1(F(g(g(y0)), g(y1), g(y2))) F(g(0), g(1), z2) -> c1(F(0, g(1), z2)) F(g(z0), g(g(y1)), z2) -> c1(F(z0, g(g(y1)), z2)) F(g(z0), g(z1), g(y2)) -> c1(F(z0, g(z1), g(y2))) F(g(z0), g(z1), g(g(y2))) -> c1(F(z0, g(z1), g(g(y2)))) F(g(0), g(1), g(y0)) -> c1(F(0, g(1), g(y0))) F(g(z0), g(g(y1)), g(y2)) -> c1(F(z0, g(g(y1)), g(y2))) F(g(g(g(g(y0)))), g(z1), z2) -> c1(F(g(g(g(y0))), g(z1), z2)) F(g(g(g(y0))), g(g(y1)), z2) -> c1(F(g(g(y0)), g(g(y1)), z2)) F(g(g(g(0))), g(1), z2) -> c1(F(g(g(0)), g(1), z2)) F(g(g(g(y0))), g(z1), g(g(y2))) -> c1(F(g(g(y0)), g(z1), g(g(y2)))) F(g(g(g(g(y0)))), g(z1), g(y2)) -> c1(F(g(g(g(y0))), g(z1), g(y2))) F(g(g(g(y0))), g(g(y1)), g(y2)) -> c1(F(g(g(y0)), g(g(y1)), g(y2))) F(g(g(g(0))), g(1), g(y0)) -> c1(F(g(g(0)), g(1), g(y0))) F(0, 1, g(y2)) -> c(F(g(g(y2)), g(g(y2)), g(y2))) F(0, 1, g(g(y2))) -> c(F(g(g(g(y2))), g(g(g(y2))), g(g(y2)))) F(0, 1, g(g(g(y0)))) -> c(F(g(g(g(g(y0)))), g(g(g(g(y0)))), g(g(g(y0))))) F(g(0), 1, g(y0)) -> c1(F(0, 1, g(y0))) F(g(0), 1, g(g(y2))) -> c1(F(0, 1, g(g(y2)))) F(g(0), 1, g(g(g(y0)))) -> c1(F(0, 1, g(g(g(y0))))) F(g(z0), z1, g(g(y2))) -> c1(F(z0, z1, g(g(y2)))) F(g(g(g(0))), 1, g(z2)) -> c1(F(g(g(0)), 1, g(z2))) F(g(g(g(g(y0)))), z1, g(z2)) -> c1(F(g(g(g(y0))), z1, g(z2))) F(g(g(g(y0))), z1, g(g(y2))) -> c1(F(g(g(y0)), z1, g(g(y2)))) F(g(g(g(g(g(y0))))), g(y1), g(z2)) -> c1(F(g(g(g(g(y0)))), g(y1), g(z2))) F(g(g(g(g(y0)))), g(g(y1)), g(z2)) -> c1(F(g(g(g(y0))), g(g(y1)), g(z2))) F(g(g(g(g(0)))), g(1), g(z2)) -> c1(F(g(g(g(0))), g(1), g(z2))) F(g(g(g(g(y0)))), g(y1), g(g(y2))) -> c1(F(g(g(g(y0))), g(y1), g(g(y2)))) F(g(g(0)), 1, g(g(y0))) -> c1(F(g(0), 1, g(g(y0)))) F(g(g(0)), 1, g(g(g(y0)))) -> c1(F(g(0), 1, g(g(g(y0))))) F(0, g(1), g(y0)) -> c2(F(0, 1, g(y0))) F(0, g(1), g(g(y2))) -> c2(F(0, 1, g(g(y2)))) F(0, g(1), g(g(g(y0)))) -> c2(F(0, 1, g(g(g(y0))))) F(z0, g(g(g(y1))), z2) -> c2(F(z0, g(g(y1)), z2)) F(z0, g(g(z1)), g(y2)) -> c2(F(z0, g(z1), g(y2))) F(g(0), g(g(1)), z2) -> c2(F(g(0), g(1), z2)) F(g(g(y0)), g(g(z1)), z2) -> c2(F(g(g(y0)), g(z1), z2)) F(g(y0), g(g(g(y1))), z2) -> c2(F(g(y0), g(g(y1)), z2)) F(g(y0), g(g(z1)), g(y2)) -> c2(F(g(y0), g(z1), g(y2))) F(z0, g(g(z1)), g(g(y2))) -> c2(F(z0, g(z1), g(g(y2)))) F(g(g(y0)), g(g(z1)), g(y2)) -> c2(F(g(g(y0)), g(z1), g(y2))) F(g(y0), g(g(z1)), g(g(y2))) -> c2(F(g(y0), g(z1), g(g(y2)))) F(0, g(g(1)), g(y0)) -> c2(F(0, g(1), g(y0))) F(z0, g(g(g(y1))), g(y2)) -> c2(F(z0, g(g(y1)), g(y2))) F(g(0), g(g(1)), g(y0)) -> c2(F(g(0), g(1), g(y0))) F(g(y0), g(g(g(y1))), g(y2)) -> c2(F(g(y0), g(g(y1)), g(y2))) F(g(g(g(y0))), g(g(z1)), z2) -> c2(F(g(g(g(y0))), g(z1), z2)) F(g(g(y0)), g(g(g(y1))), z2) -> c2(F(g(g(y0)), g(g(y1)), z2)) F(g(g(0)), g(g(1)), z2) -> c2(F(g(g(0)), g(1), z2)) F(g(g(y0)), g(g(z1)), g(g(y2))) -> c2(F(g(g(y0)), g(z1), g(g(y2)))) F(g(g(g(y0))), g(g(z1)), g(y2)) -> c2(F(g(g(g(y0))), g(z1), g(y2))) F(g(g(y0)), g(g(g(y1))), g(y2)) -> c2(F(g(g(y0)), g(g(y1)), g(y2))) F(g(g(0)), g(g(1)), g(y0)) -> c2(F(g(g(0)), g(1), g(y0))) F(g(g(g(g(y0)))), g(g(z1)), z2) -> c2(F(g(g(g(g(y0)))), g(z1), z2)) F(g(g(g(y0))), g(g(g(y1))), z2) -> c2(F(g(g(g(y0))), g(g(y1)), z2)) F(g(g(g(0))), g(g(1)), z2) -> c2(F(g(g(g(0))), g(1), z2)) F(g(g(g(y0))), g(g(z1)), g(g(y2))) -> c2(F(g(g(g(y0))), g(z1), g(g(y2)))) F(g(g(g(g(y0)))), g(g(z1)), g(y2)) -> c2(F(g(g(g(g(y0)))), g(z1), g(y2))) F(g(g(g(y0))), g(g(g(y1))), g(y2)) -> c2(F(g(g(g(y0))), g(g(y1)), g(y2))) F(g(g(g(0))), g(g(1)), g(y0)) -> c2(F(g(g(g(0))), g(1), g(y0))) F(g(g(g(g(g(y0))))), g(g(z1)), g(y2)) -> c2(F(g(g(g(g(g(y0))))), g(z1), g(y2))) F(g(g(g(g(y0)))), g(g(g(y1))), g(y2)) -> c2(F(g(g(g(g(y0)))), g(g(y1)), g(y2))) F(g(g(g(g(0)))), g(g(1)), g(y0)) -> c2(F(g(g(g(g(0)))), g(1), g(y0))) F(g(g(g(g(y0)))), g(g(z1)), g(g(y2))) -> c2(F(g(g(g(g(y0)))), g(z1), g(g(y2)))) F(0, g(g(1)), g(g(y0))) -> c2(F(0, g(1), g(g(y0)))) F(0, g(g(1)), g(g(g(y0)))) -> c2(F(0, g(1), g(g(g(y0))))) S tuples: F(z0, g(z1), g(y2)) -> c2(F(z0, z1, g(y2))) F(g(0), g(1), z2) -> c2(F(g(0), 1, z2)) F(g(g(y0)), g(z1), z2) -> c2(F(g(g(y0)), z1, z2)) F(g(y0), g(g(y1)), z2) -> c2(F(g(y0), g(y1), z2)) F(g(y0), g(z1), g(y2)) -> c2(F(g(y0), z1, g(y2))) F(g(g(0)), 1, z2) -> c1(F(g(0), 1, z2)) F(g(g(g(y0))), z1, z2) -> c1(F(g(g(y0)), z1, z2)) F(g(g(z0)), g(y1), z2) -> c1(F(g(z0), g(y1), z2)) F(g(g(z0)), z1, g(y2)) -> c1(F(g(z0), z1, g(y2))) F(g(g(z0)), g(g(y1)), z2) -> c1(F(g(z0), g(g(y1)), z2)) F(g(g(z0)), g(y1), g(y2)) -> c1(F(g(z0), g(y1), g(y2))) F(g(g(0)), g(1), z2) -> c1(F(g(0), g(1), z2)) F(g(g(g(y0))), g(y1), z2) -> c1(F(g(g(y0)), g(y1), z2)) F(g(g(z0)), z1, g(g(y2))) -> c1(F(g(z0), z1, g(g(y2)))) F(g(g(0)), 1, g(y0)) -> c1(F(g(0), 1, g(y0))) F(g(g(g(y0))), z1, g(y2)) -> c1(F(g(g(y0)), z1, g(y2))) F(g(g(z0)), g(g(y1)), g(y2)) -> c1(F(g(z0), g(g(y1)), g(y2))) F(g(g(z0)), g(y1), g(g(y2))) -> c1(F(g(z0), g(y1), g(g(y2)))) F(g(g(0)), g(1), g(y0)) -> c1(F(g(0), g(1), g(y0))) F(g(g(g(y0))), g(y1), g(y2)) -> c1(F(g(g(y0)), g(y1), g(y2))) F(g(0), g(1), z2) -> c1(F(0, g(1), z2)) F(g(z0), g(g(y1)), z2) -> c1(F(z0, g(g(y1)), z2)) F(g(z0), g(z1), g(y2)) -> c1(F(z0, g(z1), g(y2))) F(g(z0), g(z1), g(g(y2))) -> c1(F(z0, g(z1), g(g(y2)))) F(g(0), g(1), g(y0)) -> c1(F(0, g(1), g(y0))) F(g(z0), g(g(y1)), g(y2)) -> c1(F(z0, g(g(y1)), g(y2))) F(g(g(g(g(y0)))), g(z1), z2) -> c1(F(g(g(g(y0))), g(z1), z2)) F(g(g(g(y0))), g(g(y1)), z2) -> c1(F(g(g(y0)), g(g(y1)), z2)) F(g(g(g(0))), g(1), z2) -> c1(F(g(g(0)), g(1), z2)) F(g(g(g(y0))), g(z1), g(g(y2))) -> c1(F(g(g(y0)), g(z1), g(g(y2)))) F(g(g(g(g(y0)))), g(z1), g(y2)) -> c1(F(g(g(g(y0))), g(z1), g(y2))) F(g(g(g(y0))), g(g(y1)), g(y2)) -> c1(F(g(g(y0)), g(g(y1)), g(y2))) F(g(g(g(0))), g(1), g(y0)) -> c1(F(g(g(0)), g(1), g(y0))) F(0, 1, g(y2)) -> c(F(g(g(y2)), g(g(y2)), g(y2))) F(0, 1, g(g(y2))) -> c(F(g(g(g(y2))), g(g(g(y2))), g(g(y2)))) F(0, 1, g(g(g(y0)))) -> c(F(g(g(g(g(y0)))), g(g(g(g(y0)))), g(g(g(y0))))) F(g(0), 1, g(y0)) -> c1(F(0, 1, g(y0))) F(g(0), 1, g(g(y2))) -> c1(F(0, 1, g(g(y2)))) F(g(0), 1, g(g(g(y0)))) -> c1(F(0, 1, g(g(g(y0))))) F(g(z0), z1, g(g(y2))) -> c1(F(z0, z1, g(g(y2)))) F(g(g(g(0))), 1, g(z2)) -> c1(F(g(g(0)), 1, g(z2))) F(g(g(g(g(y0)))), z1, g(z2)) -> c1(F(g(g(g(y0))), z1, g(z2))) F(g(g(g(y0))), z1, g(g(y2))) -> c1(F(g(g(y0)), z1, g(g(y2)))) F(g(g(g(g(g(y0))))), g(y1), g(z2)) -> c1(F(g(g(g(g(y0)))), g(y1), g(z2))) F(g(g(g(g(y0)))), g(g(y1)), g(z2)) -> c1(F(g(g(g(y0))), g(g(y1)), g(z2))) F(g(g(g(g(0)))), g(1), g(z2)) -> c1(F(g(g(g(0))), g(1), g(z2))) F(g(g(g(g(y0)))), g(y1), g(g(y2))) -> c1(F(g(g(g(y0))), g(y1), g(g(y2)))) F(g(g(0)), 1, g(g(y0))) -> c1(F(g(0), 1, g(g(y0)))) F(g(g(0)), 1, g(g(g(y0)))) -> c1(F(g(0), 1, g(g(g(y0))))) F(0, g(1), g(y0)) -> c2(F(0, 1, g(y0))) F(0, g(1), g(g(y2))) -> c2(F(0, 1, g(g(y2)))) F(0, g(1), g(g(g(y0)))) -> c2(F(0, 1, g(g(g(y0))))) F(z0, g(g(g(y1))), z2) -> c2(F(z0, g(g(y1)), z2)) F(z0, g(g(z1)), g(y2)) -> c2(F(z0, g(z1), g(y2))) F(g(0), g(g(1)), z2) -> c2(F(g(0), g(1), z2)) F(g(g(y0)), g(g(z1)), z2) -> c2(F(g(g(y0)), g(z1), z2)) F(g(y0), g(g(g(y1))), z2) -> c2(F(g(y0), g(g(y1)), z2)) F(g(y0), g(g(z1)), g(y2)) -> c2(F(g(y0), g(z1), g(y2))) F(z0, g(g(z1)), g(g(y2))) -> c2(F(z0, g(z1), g(g(y2)))) F(g(g(y0)), g(g(z1)), g(y2)) -> c2(F(g(g(y0)), g(z1), g(y2))) F(g(y0), g(g(z1)), g(g(y2))) -> c2(F(g(y0), g(z1), g(g(y2)))) F(0, g(g(1)), g(y0)) -> c2(F(0, g(1), g(y0))) F(z0, g(g(g(y1))), g(y2)) -> c2(F(z0, g(g(y1)), g(y2))) F(g(0), g(g(1)), g(y0)) -> c2(F(g(0), g(1), g(y0))) F(g(y0), g(g(g(y1))), g(y2)) -> c2(F(g(y0), g(g(y1)), g(y2))) F(g(g(g(y0))), g(g(z1)), z2) -> c2(F(g(g(g(y0))), g(z1), z2)) F(g(g(y0)), g(g(g(y1))), z2) -> c2(F(g(g(y0)), g(g(y1)), z2)) F(g(g(0)), g(g(1)), z2) -> c2(F(g(g(0)), g(1), z2)) F(g(g(y0)), g(g(z1)), g(g(y2))) -> c2(F(g(g(y0)), g(z1), g(g(y2)))) F(g(g(g(y0))), g(g(z1)), g(y2)) -> c2(F(g(g(g(y0))), g(z1), g(y2))) F(g(g(y0)), g(g(g(y1))), g(y2)) -> c2(F(g(g(y0)), g(g(y1)), g(y2))) F(g(g(0)), g(g(1)), g(y0)) -> c2(F(g(g(0)), g(1), g(y0))) F(g(g(g(g(y0)))), g(g(z1)), z2) -> c2(F(g(g(g(g(y0)))), g(z1), z2)) F(g(g(g(y0))), g(g(g(y1))), z2) -> c2(F(g(g(g(y0))), g(g(y1)), z2)) F(g(g(g(0))), g(g(1)), z2) -> c2(F(g(g(g(0))), g(1), z2)) F(g(g(g(y0))), g(g(z1)), g(g(y2))) -> c2(F(g(g(g(y0))), g(z1), g(g(y2)))) F(g(g(g(g(y0)))), g(g(z1)), g(y2)) -> c2(F(g(g(g(g(y0)))), g(z1), g(y2))) F(g(g(g(y0))), g(g(g(y1))), g(y2)) -> c2(F(g(g(g(y0))), g(g(y1)), g(y2))) F(g(g(g(0))), g(g(1)), g(y0)) -> c2(F(g(g(g(0))), g(1), g(y0))) F(g(g(g(g(g(y0))))), g(g(z1)), g(y2)) -> c2(F(g(g(g(g(g(y0))))), g(z1), g(y2))) F(g(g(g(g(y0)))), g(g(g(y1))), g(y2)) -> c2(F(g(g(g(g(y0)))), g(g(y1)), g(y2))) F(g(g(g(g(0)))), g(g(1)), g(y0)) -> c2(F(g(g(g(g(0)))), g(1), g(y0))) F(g(g(g(g(y0)))), g(g(z1)), g(g(y2))) -> c2(F(g(g(g(g(y0)))), g(z1), g(g(y2)))) F(0, g(g(1)), g(g(y0))) -> c2(F(0, g(1), g(g(y0)))) F(0, g(g(1)), g(g(g(y0)))) -> c2(F(0, g(1), g(g(g(y0))))) K tuples: F(0, 1, g(z2)) -> c3(F(0, 1, z2)) F(z0, z1, g(g(y2))) -> c3(F(z0, z1, g(y2))) F(g(0), 1, g(z2)) -> c3(F(g(0), 1, z2)) F(g(g(y0)), z1, g(z2)) -> c3(F(g(g(y0)), z1, z2)) F(g(y0), g(y1), g(z2)) -> c3(F(g(y0), g(y1), z2)) F(g(y0), z1, g(g(y2))) -> c3(F(g(y0), z1, g(y2))) F(0, g(1), g(z2)) -> c3(F(0, g(1), z2)) F(z0, g(g(y1)), g(z2)) -> c3(F(z0, g(g(y1)), z2)) F(z0, g(y1), g(g(y2))) -> c3(F(z0, g(y1), g(y2))) F(g(0), g(1), g(z2)) -> c3(F(g(0), g(1), z2)) F(g(g(y0)), g(y1), g(z2)) -> c3(F(g(g(y0)), g(y1), z2)) F(g(y0), g(g(y1)), g(z2)) -> c3(F(g(y0), g(g(y1)), z2)) F(g(y0), g(y1), g(g(y2))) -> c3(F(g(y0), g(y1), g(y2))) Defined Rule Symbols:none Defined Pair Symbols: F_3 Compound Symbols: c2_1, c3_1, c1_1, c_1 ---------------------------------------- (55) CdtForwardInstantiationProof (BOTH BOUNDS(ID, ID)) Use forward instantiation to replace F(z0, g(z1), g(y2)) -> c2(F(z0, z1, g(y2))) by F(z0, g(g(y1)), g(z2)) -> c2(F(z0, g(y1), g(z2))) F(g(0), g(g(1)), g(z2)) -> c2(F(g(0), g(1), g(z2))) F(g(g(y0)), g(g(y1)), g(z2)) -> c2(F(g(g(y0)), g(y1), g(z2))) F(g(y0), g(g(g(y1))), g(z2)) -> c2(F(g(y0), g(g(y1)), g(z2))) F(g(y0), g(g(y1)), g(z2)) -> c2(F(g(y0), g(y1), g(z2))) F(0, g(1), g(z2)) -> c2(F(0, 1, g(z2))) F(z0, g(z1), g(g(y2))) -> c2(F(z0, z1, g(g(y2)))) F(g(0), g(1), g(z2)) -> c2(F(g(0), 1, g(z2))) F(g(g(y0)), g(z1), g(z2)) -> c2(F(g(g(y0)), z1, g(z2))) F(g(y0), g(z1), g(g(y2))) -> c2(F(g(y0), z1, g(g(y2)))) F(0, g(g(1)), g(z2)) -> c2(F(0, g(1), g(z2))) F(z0, g(g(g(y1))), g(z2)) -> c2(F(z0, g(g(y1)), g(z2))) F(z0, g(g(y1)), g(g(y2))) -> c2(F(z0, g(y1), g(g(y2)))) F(g(y0), g(g(y1)), g(g(y2))) -> c2(F(g(y0), g(y1), g(g(y2)))) F(g(g(0)), g(1), g(z2)) -> c2(F(g(g(0)), 1, g(z2))) F(g(g(g(y0))), g(z1), g(z2)) -> c2(F(g(g(g(y0))), z1, g(z2))) F(g(g(y0)), g(g(g(y1))), g(z2)) -> c2(F(g(g(y0)), g(g(y1)), g(z2))) F(g(g(0)), g(g(1)), g(z2)) -> c2(F(g(g(0)), g(1), g(z2))) F(g(g(g(y0))), g(g(y1)), g(z2)) -> c2(F(g(g(g(y0))), g(y1), g(z2))) F(g(g(y0)), g(z1), g(g(y2))) -> c2(F(g(g(y0)), z1, g(g(y2)))) F(g(g(y0)), g(g(y1)), g(g(y2))) -> c2(F(g(g(y0)), g(y1), g(g(y2)))) F(g(g(g(g(y0)))), g(g(y1)), g(z2)) -> c2(F(g(g(g(g(y0)))), g(y1), g(z2))) F(g(g(g(y0))), g(g(g(y1))), g(z2)) -> c2(F(g(g(g(y0))), g(g(y1)), g(z2))) F(g(g(g(0))), g(g(1)), g(z2)) -> c2(F(g(g(g(0))), g(1), g(z2))) F(g(g(g(y0))), g(g(y1)), g(g(y2))) -> c2(F(g(g(g(y0))), g(y1), g(g(y2)))) F(0, g(1), g(g(y0))) -> c2(F(0, 1, g(g(y0)))) F(0, g(1), g(g(g(y0)))) -> c2(F(0, 1, g(g(g(y0))))) F(g(0), g(1), g(g(y0))) -> c2(F(g(0), 1, g(g(y0)))) F(g(0), g(1), g(g(g(y0)))) -> c2(F(g(0), 1, g(g(g(y0))))) F(g(g(g(0))), g(1), g(z2)) -> c2(F(g(g(g(0))), 1, g(z2))) F(g(g(g(g(y0)))), g(z1), g(z2)) -> c2(F(g(g(g(g(y0)))), z1, g(z2))) F(g(g(g(y0))), g(z1), g(g(y2))) -> c2(F(g(g(g(y0))), z1, g(g(y2)))) F(g(g(g(g(g(y0))))), g(g(y1)), g(z2)) -> c2(F(g(g(g(g(g(y0))))), g(y1), g(z2))) F(g(g(g(g(y0)))), g(g(g(y1))), g(z2)) -> c2(F(g(g(g(g(y0)))), g(g(y1)), g(z2))) F(g(g(g(g(0)))), g(g(1)), g(z2)) -> c2(F(g(g(g(g(0)))), g(1), g(z2))) F(g(g(g(g(y0)))), g(g(y1)), g(g(y2))) -> c2(F(g(g(g(g(y0)))), g(y1), g(g(y2)))) F(g(g(0)), g(1), g(g(y0))) -> c2(F(g(g(0)), 1, g(g(y0)))) F(g(g(0)), g(1), g(g(g(y0)))) -> c2(F(g(g(0)), 1, g(g(g(y0))))) F(0, g(g(1)), g(g(y0))) -> c2(F(0, g(1), g(g(y0)))) F(0, g(g(1)), g(g(g(y0)))) -> c2(F(0, g(1), g(g(g(y0))))) F(z0, g(g(g(g(y1)))), g(z2)) -> c2(F(z0, g(g(g(y1))), g(z2))) F(g(0), g(g(g(1))), g(z2)) -> c2(F(g(0), g(g(1)), g(z2))) F(g(y0), g(g(g(g(y1)))), g(z2)) -> c2(F(g(y0), g(g(g(y1))), g(z2))) F(z0, g(g(g(y1))), g(g(y2))) -> c2(F(z0, g(g(y1)), g(g(y2)))) F(g(y0), g(g(g(y1))), g(g(y2))) -> c2(F(g(y0), g(g(y1)), g(g(y2)))) F(0, g(g(g(1))), g(z2)) -> c2(F(0, g(g(1)), g(z2))) F(g(g(y0)), g(g(g(g(y1)))), g(z2)) -> c2(F(g(g(y0)), g(g(g(y1))), g(z2))) F(g(g(0)), g(g(g(1))), g(z2)) -> c2(F(g(g(0)), g(g(1)), g(z2))) F(g(g(y0)), g(g(g(y1))), g(g(y2))) -> c2(F(g(g(y0)), g(g(y1)), g(g(y2)))) F(g(g(g(y0))), g(g(g(g(y1)))), g(z2)) -> c2(F(g(g(g(y0))), g(g(g(y1))), g(z2))) F(g(g(g(0))), g(g(g(1))), g(z2)) -> c2(F(g(g(g(0))), g(g(1)), g(z2))) F(g(g(g(y0))), g(g(g(y1))), g(g(y2))) -> c2(F(g(g(g(y0))), g(g(y1)), g(g(y2)))) F(g(g(g(g(g(y0))))), g(g(g(y1))), g(z2)) -> c2(F(g(g(g(g(g(y0))))), g(g(y1)), g(z2))) F(g(g(g(g(y0)))), g(g(g(g(y1)))), g(z2)) -> c2(F(g(g(g(g(y0)))), g(g(g(y1))), g(z2))) F(g(g(g(g(0)))), g(g(g(1))), g(z2)) -> c2(F(g(g(g(g(0)))), g(g(1)), g(z2))) F(g(g(g(g(y0)))), g(g(g(y1))), g(g(y2))) -> c2(F(g(g(g(g(y0)))), g(g(y1)), g(g(y2)))) F(0, g(g(g(1))), g(g(y0))) -> c2(F(0, g(g(1)), g(g(y0)))) F(0, g(g(g(1))), g(g(g(y0)))) -> c2(F(0, g(g(1)), g(g(g(y0))))) ---------------------------------------- (56) Obligation: Complexity Dependency Tuples Problem Rules:none Tuples: F(g(0), g(1), z2) -> c2(F(g(0), 1, z2)) F(g(g(y0)), g(z1), z2) -> c2(F(g(g(y0)), z1, z2)) F(g(y0), g(g(y1)), z2) -> c2(F(g(y0), g(y1), z2)) F(g(y0), g(z1), g(y2)) -> c2(F(g(y0), z1, g(y2))) F(0, 1, g(z2)) -> c3(F(0, 1, z2)) F(z0, z1, g(g(y2))) -> c3(F(z0, z1, g(y2))) F(g(0), 1, g(z2)) -> c3(F(g(0), 1, z2)) F(g(g(y0)), z1, g(z2)) -> c3(F(g(g(y0)), z1, z2)) F(g(y0), g(y1), g(z2)) -> c3(F(g(y0), g(y1), z2)) F(g(y0), z1, g(g(y2))) -> c3(F(g(y0), z1, g(y2))) F(0, g(1), g(z2)) -> c3(F(0, g(1), z2)) F(z0, g(g(y1)), g(z2)) -> c3(F(z0, g(g(y1)), z2)) F(z0, g(y1), g(g(y2))) -> c3(F(z0, g(y1), g(y2))) F(g(0), g(1), g(z2)) -> c3(F(g(0), g(1), z2)) F(g(g(y0)), g(y1), g(z2)) -> c3(F(g(g(y0)), g(y1), z2)) F(g(y0), g(g(y1)), g(z2)) -> c3(F(g(y0), g(g(y1)), z2)) F(g(y0), g(y1), g(g(y2))) -> c3(F(g(y0), g(y1), g(y2))) F(g(g(0)), 1, z2) -> c1(F(g(0), 1, z2)) F(g(g(g(y0))), z1, z2) -> c1(F(g(g(y0)), z1, z2)) F(g(g(z0)), g(y1), z2) -> c1(F(g(z0), g(y1), z2)) F(g(g(z0)), z1, g(y2)) -> c1(F(g(z0), z1, g(y2))) F(g(g(z0)), g(g(y1)), z2) -> c1(F(g(z0), g(g(y1)), z2)) F(g(g(z0)), g(y1), g(y2)) -> c1(F(g(z0), g(y1), g(y2))) F(g(g(0)), g(1), z2) -> c1(F(g(0), g(1), z2)) F(g(g(g(y0))), g(y1), z2) -> c1(F(g(g(y0)), g(y1), z2)) F(g(g(z0)), z1, g(g(y2))) -> c1(F(g(z0), z1, g(g(y2)))) F(g(g(0)), 1, g(y0)) -> c1(F(g(0), 1, g(y0))) F(g(g(g(y0))), z1, g(y2)) -> c1(F(g(g(y0)), z1, g(y2))) F(g(g(z0)), g(g(y1)), g(y2)) -> c1(F(g(z0), g(g(y1)), g(y2))) F(g(g(z0)), g(y1), g(g(y2))) -> c1(F(g(z0), g(y1), g(g(y2)))) F(g(g(0)), g(1), g(y0)) -> c1(F(g(0), g(1), g(y0))) F(g(g(g(y0))), g(y1), g(y2)) -> c1(F(g(g(y0)), g(y1), g(y2))) F(g(0), g(1), z2) -> c1(F(0, g(1), z2)) F(g(z0), g(g(y1)), z2) -> c1(F(z0, g(g(y1)), z2)) F(g(z0), g(z1), g(y2)) -> c1(F(z0, g(z1), g(y2))) F(g(z0), g(z1), g(g(y2))) -> c1(F(z0, g(z1), g(g(y2)))) F(g(0), g(1), g(y0)) -> c1(F(0, g(1), g(y0))) F(g(z0), g(g(y1)), g(y2)) -> c1(F(z0, g(g(y1)), g(y2))) F(g(g(g(g(y0)))), g(z1), z2) -> c1(F(g(g(g(y0))), g(z1), z2)) F(g(g(g(y0))), g(g(y1)), z2) -> c1(F(g(g(y0)), g(g(y1)), z2)) F(g(g(g(0))), g(1), z2) -> c1(F(g(g(0)), g(1), z2)) F(g(g(g(y0))), g(z1), g(g(y2))) -> c1(F(g(g(y0)), g(z1), g(g(y2)))) F(g(g(g(g(y0)))), g(z1), g(y2)) -> c1(F(g(g(g(y0))), g(z1), g(y2))) F(g(g(g(y0))), g(g(y1)), g(y2)) -> c1(F(g(g(y0)), g(g(y1)), g(y2))) F(g(g(g(0))), g(1), g(y0)) -> c1(F(g(g(0)), g(1), g(y0))) F(0, 1, g(y2)) -> c(F(g(g(y2)), g(g(y2)), g(y2))) F(0, 1, g(g(y2))) -> c(F(g(g(g(y2))), g(g(g(y2))), g(g(y2)))) F(0, 1, g(g(g(y0)))) -> c(F(g(g(g(g(y0)))), g(g(g(g(y0)))), g(g(g(y0))))) F(g(0), 1, g(y0)) -> c1(F(0, 1, g(y0))) F(g(0), 1, g(g(y2))) -> c1(F(0, 1, g(g(y2)))) F(g(0), 1, g(g(g(y0)))) -> c1(F(0, 1, g(g(g(y0))))) F(g(z0), z1, g(g(y2))) -> c1(F(z0, z1, g(g(y2)))) F(g(g(g(0))), 1, g(z2)) -> c1(F(g(g(0)), 1, g(z2))) F(g(g(g(g(y0)))), z1, g(z2)) -> c1(F(g(g(g(y0))), z1, g(z2))) F(g(g(g(y0))), z1, g(g(y2))) -> c1(F(g(g(y0)), z1, g(g(y2)))) F(g(g(g(g(g(y0))))), g(y1), g(z2)) -> c1(F(g(g(g(g(y0)))), g(y1), g(z2))) F(g(g(g(g(y0)))), g(g(y1)), g(z2)) -> c1(F(g(g(g(y0))), g(g(y1)), g(z2))) F(g(g(g(g(0)))), g(1), g(z2)) -> c1(F(g(g(g(0))), g(1), g(z2))) F(g(g(g(g(y0)))), g(y1), g(g(y2))) -> c1(F(g(g(g(y0))), g(y1), g(g(y2)))) F(g(g(0)), 1, g(g(y0))) -> c1(F(g(0), 1, g(g(y0)))) F(g(g(0)), 1, g(g(g(y0)))) -> c1(F(g(0), 1, g(g(g(y0))))) F(0, g(1), g(y0)) -> c2(F(0, 1, g(y0))) F(0, g(1), g(g(y2))) -> c2(F(0, 1, g(g(y2)))) F(0, g(1), g(g(g(y0)))) -> c2(F(0, 1, g(g(g(y0))))) F(z0, g(g(g(y1))), z2) -> c2(F(z0, g(g(y1)), z2)) F(z0, g(g(z1)), g(y2)) -> c2(F(z0, g(z1), g(y2))) F(g(0), g(g(1)), z2) -> c2(F(g(0), g(1), z2)) F(g(g(y0)), g(g(z1)), z2) -> c2(F(g(g(y0)), g(z1), z2)) F(g(y0), g(g(g(y1))), z2) -> c2(F(g(y0), g(g(y1)), z2)) F(g(y0), g(g(z1)), g(y2)) -> c2(F(g(y0), g(z1), g(y2))) F(z0, g(g(z1)), g(g(y2))) -> c2(F(z0, g(z1), g(g(y2)))) F(g(g(y0)), g(g(z1)), g(y2)) -> c2(F(g(g(y0)), g(z1), g(y2))) F(g(y0), g(g(z1)), g(g(y2))) -> c2(F(g(y0), g(z1), g(g(y2)))) F(0, g(g(1)), g(y0)) -> c2(F(0, g(1), g(y0))) F(z0, g(g(g(y1))), g(y2)) -> c2(F(z0, g(g(y1)), g(y2))) F(g(0), g(g(1)), g(y0)) -> c2(F(g(0), g(1), g(y0))) F(g(y0), g(g(g(y1))), g(y2)) -> c2(F(g(y0), g(g(y1)), g(y2))) F(g(g(g(y0))), g(g(z1)), z2) -> c2(F(g(g(g(y0))), g(z1), z2)) F(g(g(y0)), g(g(g(y1))), z2) -> c2(F(g(g(y0)), g(g(y1)), z2)) F(g(g(0)), g(g(1)), z2) -> c2(F(g(g(0)), g(1), z2)) F(g(g(y0)), g(g(z1)), g(g(y2))) -> c2(F(g(g(y0)), g(z1), g(g(y2)))) F(g(g(g(y0))), g(g(z1)), g(y2)) -> c2(F(g(g(g(y0))), g(z1), g(y2))) F(g(g(y0)), g(g(g(y1))), g(y2)) -> c2(F(g(g(y0)), g(g(y1)), g(y2))) F(g(g(0)), g(g(1)), g(y0)) -> c2(F(g(g(0)), g(1), g(y0))) F(g(g(g(g(y0)))), g(g(z1)), z2) -> c2(F(g(g(g(g(y0)))), g(z1), z2)) F(g(g(g(y0))), g(g(g(y1))), z2) -> c2(F(g(g(g(y0))), g(g(y1)), z2)) F(g(g(g(0))), g(g(1)), z2) -> c2(F(g(g(g(0))), g(1), z2)) F(g(g(g(y0))), g(g(z1)), g(g(y2))) -> c2(F(g(g(g(y0))), g(z1), g(g(y2)))) F(g(g(g(g(y0)))), g(g(z1)), g(y2)) -> c2(F(g(g(g(g(y0)))), g(z1), g(y2))) F(g(g(g(y0))), g(g(g(y1))), g(y2)) -> c2(F(g(g(g(y0))), g(g(y1)), g(y2))) F(g(g(g(0))), g(g(1)), g(y0)) -> c2(F(g(g(g(0))), g(1), g(y0))) F(g(g(g(g(g(y0))))), g(g(z1)), g(y2)) -> c2(F(g(g(g(g(g(y0))))), g(z1), g(y2))) F(g(g(g(g(y0)))), g(g(g(y1))), g(y2)) -> c2(F(g(g(g(g(y0)))), g(g(y1)), g(y2))) F(g(g(g(g(0)))), g(g(1)), g(y0)) -> c2(F(g(g(g(g(0)))), g(1), g(y0))) F(g(g(g(g(y0)))), g(g(z1)), g(g(y2))) -> c2(F(g(g(g(g(y0)))), g(z1), g(g(y2)))) F(0, g(g(1)), g(g(y0))) -> c2(F(0, g(1), g(g(y0)))) F(0, g(g(1)), g(g(g(y0)))) -> c2(F(0, g(1), g(g(g(y0))))) F(z0, g(z1), g(g(y2))) -> c2(F(z0, z1, g(g(y2)))) F(g(0), g(1), g(z2)) -> c2(F(g(0), 1, g(z2))) F(g(g(y0)), g(z1), g(z2)) -> c2(F(g(g(y0)), z1, g(z2))) F(g(y0), g(z1), g(g(y2))) -> c2(F(g(y0), z1, g(g(y2)))) F(g(g(0)), g(1), g(z2)) -> c2(F(g(g(0)), 1, g(z2))) F(g(g(g(y0))), g(z1), g(z2)) -> c2(F(g(g(g(y0))), z1, g(z2))) F(g(g(y0)), g(z1), g(g(y2))) -> c2(F(g(g(y0)), z1, g(g(y2)))) F(g(0), g(1), g(g(y0))) -> c2(F(g(0), 1, g(g(y0)))) F(g(0), g(1), g(g(g(y0)))) -> c2(F(g(0), 1, g(g(g(y0))))) F(g(g(g(0))), g(1), g(z2)) -> c2(F(g(g(g(0))), 1, g(z2))) F(g(g(g(g(y0)))), g(z1), g(z2)) -> c2(F(g(g(g(g(y0)))), z1, g(z2))) F(g(g(g(y0))), g(z1), g(g(y2))) -> c2(F(g(g(g(y0))), z1, g(g(y2)))) F(g(g(0)), g(1), g(g(y0))) -> c2(F(g(g(0)), 1, g(g(y0)))) F(g(g(0)), g(1), g(g(g(y0)))) -> c2(F(g(g(0)), 1, g(g(g(y0))))) F(z0, g(g(g(g(y1)))), g(z2)) -> c2(F(z0, g(g(g(y1))), g(z2))) F(g(0), g(g(g(1))), g(z2)) -> c2(F(g(0), g(g(1)), g(z2))) F(g(y0), g(g(g(g(y1)))), g(z2)) -> c2(F(g(y0), g(g(g(y1))), g(z2))) F(z0, g(g(g(y1))), g(g(y2))) -> c2(F(z0, g(g(y1)), g(g(y2)))) F(g(y0), g(g(g(y1))), g(g(y2))) -> c2(F(g(y0), g(g(y1)), g(g(y2)))) F(0, g(g(g(1))), g(z2)) -> c2(F(0, g(g(1)), g(z2))) F(g(g(y0)), g(g(g(g(y1)))), g(z2)) -> c2(F(g(g(y0)), g(g(g(y1))), g(z2))) F(g(g(0)), g(g(g(1))), g(z2)) -> c2(F(g(g(0)), g(g(1)), g(z2))) F(g(g(y0)), g(g(g(y1))), g(g(y2))) -> c2(F(g(g(y0)), g(g(y1)), g(g(y2)))) F(g(g(g(y0))), g(g(g(g(y1)))), g(z2)) -> c2(F(g(g(g(y0))), g(g(g(y1))), g(z2))) F(g(g(g(0))), g(g(g(1))), g(z2)) -> c2(F(g(g(g(0))), g(g(1)), g(z2))) F(g(g(g(y0))), g(g(g(y1))), g(g(y2))) -> c2(F(g(g(g(y0))), g(g(y1)), g(g(y2)))) F(g(g(g(g(g(y0))))), g(g(g(y1))), g(z2)) -> c2(F(g(g(g(g(g(y0))))), g(g(y1)), g(z2))) F(g(g(g(g(y0)))), g(g(g(g(y1)))), g(z2)) -> c2(F(g(g(g(g(y0)))), g(g(g(y1))), g(z2))) F(g(g(g(g(0)))), g(g(g(1))), g(z2)) -> c2(F(g(g(g(g(0)))), g(g(1)), g(z2))) F(g(g(g(g(y0)))), g(g(g(y1))), g(g(y2))) -> c2(F(g(g(g(g(y0)))), g(g(y1)), g(g(y2)))) F(0, g(g(g(1))), g(g(y0))) -> c2(F(0, g(g(1)), g(g(y0)))) F(0, g(g(g(1))), g(g(g(y0)))) -> c2(F(0, g(g(1)), g(g(g(y0))))) S tuples: F(g(0), g(1), z2) -> c2(F(g(0), 1, z2)) F(g(g(y0)), g(z1), z2) -> c2(F(g(g(y0)), z1, z2)) F(g(y0), g(g(y1)), z2) -> c2(F(g(y0), g(y1), z2)) F(g(y0), g(z1), g(y2)) -> c2(F(g(y0), z1, g(y2))) F(g(g(0)), 1, z2) -> c1(F(g(0), 1, z2)) F(g(g(g(y0))), z1, z2) -> c1(F(g(g(y0)), z1, z2)) F(g(g(z0)), g(y1), z2) -> c1(F(g(z0), g(y1), z2)) F(g(g(z0)), z1, g(y2)) -> c1(F(g(z0), z1, g(y2))) F(g(g(z0)), g(g(y1)), z2) -> c1(F(g(z0), g(g(y1)), z2)) F(g(g(z0)), g(y1), g(y2)) -> c1(F(g(z0), g(y1), g(y2))) F(g(g(0)), g(1), z2) -> c1(F(g(0), g(1), z2)) F(g(g(g(y0))), g(y1), z2) -> c1(F(g(g(y0)), g(y1), z2)) F(g(g(z0)), z1, g(g(y2))) -> c1(F(g(z0), z1, g(g(y2)))) F(g(g(0)), 1, g(y0)) -> c1(F(g(0), 1, g(y0))) F(g(g(g(y0))), z1, g(y2)) -> c1(F(g(g(y0)), z1, g(y2))) F(g(g(z0)), g(g(y1)), g(y2)) -> c1(F(g(z0), g(g(y1)), g(y2))) F(g(g(z0)), g(y1), g(g(y2))) -> c1(F(g(z0), g(y1), g(g(y2)))) F(g(g(0)), g(1), g(y0)) -> c1(F(g(0), g(1), g(y0))) F(g(g(g(y0))), g(y1), g(y2)) -> c1(F(g(g(y0)), g(y1), g(y2))) F(g(0), g(1), z2) -> c1(F(0, g(1), z2)) F(g(z0), g(g(y1)), z2) -> c1(F(z0, g(g(y1)), z2)) F(g(z0), g(z1), g(y2)) -> c1(F(z0, g(z1), g(y2))) F(g(z0), g(z1), g(g(y2))) -> c1(F(z0, g(z1), g(g(y2)))) F(g(0), g(1), g(y0)) -> c1(F(0, g(1), g(y0))) F(g(z0), g(g(y1)), g(y2)) -> c1(F(z0, g(g(y1)), g(y2))) F(g(g(g(g(y0)))), g(z1), z2) -> c1(F(g(g(g(y0))), g(z1), z2)) F(g(g(g(y0))), g(g(y1)), z2) -> c1(F(g(g(y0)), g(g(y1)), z2)) F(g(g(g(0))), g(1), z2) -> c1(F(g(g(0)), g(1), z2)) F(g(g(g(y0))), g(z1), g(g(y2))) -> c1(F(g(g(y0)), g(z1), g(g(y2)))) F(g(g(g(g(y0)))), g(z1), g(y2)) -> c1(F(g(g(g(y0))), g(z1), g(y2))) F(g(g(g(y0))), g(g(y1)), g(y2)) -> c1(F(g(g(y0)), g(g(y1)), g(y2))) F(g(g(g(0))), g(1), g(y0)) -> c1(F(g(g(0)), g(1), g(y0))) F(0, 1, g(y2)) -> c(F(g(g(y2)), g(g(y2)), g(y2))) F(0, 1, g(g(y2))) -> c(F(g(g(g(y2))), g(g(g(y2))), g(g(y2)))) F(0, 1, g(g(g(y0)))) -> c(F(g(g(g(g(y0)))), g(g(g(g(y0)))), g(g(g(y0))))) F(g(0), 1, g(y0)) -> c1(F(0, 1, g(y0))) F(g(0), 1, g(g(y2))) -> c1(F(0, 1, g(g(y2)))) F(g(0), 1, g(g(g(y0)))) -> c1(F(0, 1, g(g(g(y0))))) F(g(z0), z1, g(g(y2))) -> c1(F(z0, z1, g(g(y2)))) F(g(g(g(0))), 1, g(z2)) -> c1(F(g(g(0)), 1, g(z2))) F(g(g(g(g(y0)))), z1, g(z2)) -> c1(F(g(g(g(y0))), z1, g(z2))) F(g(g(g(y0))), z1, g(g(y2))) -> c1(F(g(g(y0)), z1, g(g(y2)))) F(g(g(g(g(g(y0))))), g(y1), g(z2)) -> c1(F(g(g(g(g(y0)))), g(y1), g(z2))) F(g(g(g(g(y0)))), g(g(y1)), g(z2)) -> c1(F(g(g(g(y0))), g(g(y1)), g(z2))) F(g(g(g(g(0)))), g(1), g(z2)) -> c1(F(g(g(g(0))), g(1), g(z2))) F(g(g(g(g(y0)))), g(y1), g(g(y2))) -> c1(F(g(g(g(y0))), g(y1), g(g(y2)))) F(g(g(0)), 1, g(g(y0))) -> c1(F(g(0), 1, g(g(y0)))) F(g(g(0)), 1, g(g(g(y0)))) -> c1(F(g(0), 1, g(g(g(y0))))) F(0, g(1), g(y0)) -> c2(F(0, 1, g(y0))) F(0, g(1), g(g(y2))) -> c2(F(0, 1, g(g(y2)))) F(0, g(1), g(g(g(y0)))) -> c2(F(0, 1, g(g(g(y0))))) F(z0, g(g(g(y1))), z2) -> c2(F(z0, g(g(y1)), z2)) F(z0, g(g(z1)), g(y2)) -> c2(F(z0, g(z1), g(y2))) F(g(0), g(g(1)), z2) -> c2(F(g(0), g(1), z2)) F(g(g(y0)), g(g(z1)), z2) -> c2(F(g(g(y0)), g(z1), z2)) F(g(y0), g(g(g(y1))), z2) -> c2(F(g(y0), g(g(y1)), z2)) F(g(y0), g(g(z1)), g(y2)) -> c2(F(g(y0), g(z1), g(y2))) F(z0, g(g(z1)), g(g(y2))) -> c2(F(z0, g(z1), g(g(y2)))) F(g(g(y0)), g(g(z1)), g(y2)) -> c2(F(g(g(y0)), g(z1), g(y2))) F(g(y0), g(g(z1)), g(g(y2))) -> c2(F(g(y0), g(z1), g(g(y2)))) F(0, g(g(1)), g(y0)) -> c2(F(0, g(1), g(y0))) F(z0, g(g(g(y1))), g(y2)) -> c2(F(z0, g(g(y1)), g(y2))) F(g(0), g(g(1)), g(y0)) -> c2(F(g(0), g(1), g(y0))) F(g(y0), g(g(g(y1))), g(y2)) -> c2(F(g(y0), g(g(y1)), g(y2))) F(g(g(g(y0))), g(g(z1)), z2) -> c2(F(g(g(g(y0))), g(z1), z2)) F(g(g(y0)), g(g(g(y1))), z2) -> c2(F(g(g(y0)), g(g(y1)), z2)) F(g(g(0)), g(g(1)), z2) -> c2(F(g(g(0)), g(1), z2)) F(g(g(y0)), g(g(z1)), g(g(y2))) -> c2(F(g(g(y0)), g(z1), g(g(y2)))) F(g(g(g(y0))), g(g(z1)), g(y2)) -> c2(F(g(g(g(y0))), g(z1), g(y2))) F(g(g(y0)), g(g(g(y1))), g(y2)) -> c2(F(g(g(y0)), g(g(y1)), g(y2))) F(g(g(0)), g(g(1)), g(y0)) -> c2(F(g(g(0)), g(1), g(y0))) F(g(g(g(g(y0)))), g(g(z1)), z2) -> c2(F(g(g(g(g(y0)))), g(z1), z2)) F(g(g(g(y0))), g(g(g(y1))), z2) -> c2(F(g(g(g(y0))), g(g(y1)), z2)) F(g(g(g(0))), g(g(1)), z2) -> c2(F(g(g(g(0))), g(1), z2)) F(g(g(g(y0))), g(g(z1)), g(g(y2))) -> c2(F(g(g(g(y0))), g(z1), g(g(y2)))) F(g(g(g(g(y0)))), g(g(z1)), g(y2)) -> c2(F(g(g(g(g(y0)))), g(z1), g(y2))) F(g(g(g(y0))), g(g(g(y1))), g(y2)) -> c2(F(g(g(g(y0))), g(g(y1)), g(y2))) F(g(g(g(0))), g(g(1)), g(y0)) -> c2(F(g(g(g(0))), g(1), g(y0))) F(g(g(g(g(g(y0))))), g(g(z1)), g(y2)) -> c2(F(g(g(g(g(g(y0))))), g(z1), g(y2))) F(g(g(g(g(y0)))), g(g(g(y1))), g(y2)) -> c2(F(g(g(g(g(y0)))), g(g(y1)), g(y2))) F(g(g(g(g(0)))), g(g(1)), g(y0)) -> c2(F(g(g(g(g(0)))), g(1), g(y0))) F(g(g(g(g(y0)))), g(g(z1)), g(g(y2))) -> c2(F(g(g(g(g(y0)))), g(z1), g(g(y2)))) F(0, g(g(1)), g(g(y0))) -> c2(F(0, g(1), g(g(y0)))) F(0, g(g(1)), g(g(g(y0)))) -> c2(F(0, g(1), g(g(g(y0))))) F(z0, g(z1), g(g(y2))) -> c2(F(z0, z1, g(g(y2)))) F(g(0), g(1), g(z2)) -> c2(F(g(0), 1, g(z2))) F(g(g(y0)), g(z1), g(z2)) -> c2(F(g(g(y0)), z1, g(z2))) F(g(y0), g(z1), g(g(y2))) -> c2(F(g(y0), z1, g(g(y2)))) F(g(g(0)), g(1), g(z2)) -> c2(F(g(g(0)), 1, g(z2))) F(g(g(g(y0))), g(z1), g(z2)) -> c2(F(g(g(g(y0))), z1, g(z2))) F(g(g(y0)), g(z1), g(g(y2))) -> c2(F(g(g(y0)), z1, g(g(y2)))) F(g(0), g(1), g(g(y0))) -> c2(F(g(0), 1, g(g(y0)))) F(g(0), g(1), g(g(g(y0)))) -> c2(F(g(0), 1, g(g(g(y0))))) F(g(g(g(0))), g(1), g(z2)) -> c2(F(g(g(g(0))), 1, g(z2))) F(g(g(g(g(y0)))), g(z1), g(z2)) -> c2(F(g(g(g(g(y0)))), z1, g(z2))) F(g(g(g(y0))), g(z1), g(g(y2))) -> c2(F(g(g(g(y0))), z1, g(g(y2)))) F(g(g(0)), g(1), g(g(y0))) -> c2(F(g(g(0)), 1, g(g(y0)))) F(g(g(0)), g(1), g(g(g(y0)))) -> c2(F(g(g(0)), 1, g(g(g(y0))))) F(z0, g(g(g(g(y1)))), g(z2)) -> c2(F(z0, g(g(g(y1))), g(z2))) F(g(0), g(g(g(1))), g(z2)) -> c2(F(g(0), g(g(1)), g(z2))) F(g(y0), g(g(g(g(y1)))), g(z2)) -> c2(F(g(y0), g(g(g(y1))), g(z2))) F(z0, g(g(g(y1))), g(g(y2))) -> c2(F(z0, g(g(y1)), g(g(y2)))) F(g(y0), g(g(g(y1))), g(g(y2))) -> c2(F(g(y0), g(g(y1)), g(g(y2)))) F(0, g(g(g(1))), g(z2)) -> c2(F(0, g(g(1)), g(z2))) F(g(g(y0)), g(g(g(g(y1)))), g(z2)) -> c2(F(g(g(y0)), g(g(g(y1))), g(z2))) F(g(g(0)), g(g(g(1))), g(z2)) -> c2(F(g(g(0)), g(g(1)), g(z2))) F(g(g(y0)), g(g(g(y1))), g(g(y2))) -> c2(F(g(g(y0)), g(g(y1)), g(g(y2)))) F(g(g(g(y0))), g(g(g(g(y1)))), g(z2)) -> c2(F(g(g(g(y0))), g(g(g(y1))), g(z2))) F(g(g(g(0))), g(g(g(1))), g(z2)) -> c2(F(g(g(g(0))), g(g(1)), g(z2))) F(g(g(g(y0))), g(g(g(y1))), g(g(y2))) -> c2(F(g(g(g(y0))), g(g(y1)), g(g(y2)))) F(g(g(g(g(g(y0))))), g(g(g(y1))), g(z2)) -> c2(F(g(g(g(g(g(y0))))), g(g(y1)), g(z2))) F(g(g(g(g(y0)))), g(g(g(g(y1)))), g(z2)) -> c2(F(g(g(g(g(y0)))), g(g(g(y1))), g(z2))) F(g(g(g(g(0)))), g(g(g(1))), g(z2)) -> c2(F(g(g(g(g(0)))), g(g(1)), g(z2))) F(g(g(g(g(y0)))), g(g(g(y1))), g(g(y2))) -> c2(F(g(g(g(g(y0)))), g(g(y1)), g(g(y2)))) F(0, g(g(g(1))), g(g(y0))) -> c2(F(0, g(g(1)), g(g(y0)))) F(0, g(g(g(1))), g(g(g(y0)))) -> c2(F(0, g(g(1)), g(g(g(y0))))) K tuples: F(0, 1, g(z2)) -> c3(F(0, 1, z2)) F(z0, z1, g(g(y2))) -> c3(F(z0, z1, g(y2))) F(g(0), 1, g(z2)) -> c3(F(g(0), 1, z2)) F(g(g(y0)), z1, g(z2)) -> c3(F(g(g(y0)), z1, z2)) F(g(y0), g(y1), g(z2)) -> c3(F(g(y0), g(y1), z2)) F(g(y0), z1, g(g(y2))) -> c3(F(g(y0), z1, g(y2))) F(0, g(1), g(z2)) -> c3(F(0, g(1), z2)) F(z0, g(g(y1)), g(z2)) -> c3(F(z0, g(g(y1)), z2)) F(z0, g(y1), g(g(y2))) -> c3(F(z0, g(y1), g(y2))) F(g(0), g(1), g(z2)) -> c3(F(g(0), g(1), z2)) F(g(g(y0)), g(y1), g(z2)) -> c3(F(g(g(y0)), g(y1), z2)) F(g(y0), g(g(y1)), g(z2)) -> c3(F(g(y0), g(g(y1)), z2)) F(g(y0), g(y1), g(g(y2))) -> c3(F(g(y0), g(y1), g(y2))) Defined Rule Symbols:none Defined Pair Symbols: F_3 Compound Symbols: c2_1, c3_1, c1_1, c_1 ---------------------------------------- (57) CdtForwardInstantiationProof (BOTH BOUNDS(ID, ID)) Use forward instantiation to replace F(g(0), g(1), z2) -> c2(F(g(0), 1, z2)) by F(g(0), g(1), g(g(y2))) -> c2(F(g(0), 1, g(g(y2)))) F(g(0), g(1), g(y0)) -> c2(F(g(0), 1, g(y0))) F(g(0), g(1), g(g(g(y0)))) -> c2(F(g(0), 1, g(g(g(y0))))) ---------------------------------------- (58) Obligation: Complexity Dependency Tuples Problem Rules:none Tuples: F(g(g(y0)), g(z1), z2) -> c2(F(g(g(y0)), z1, z2)) F(g(y0), g(g(y1)), z2) -> c2(F(g(y0), g(y1), z2)) F(g(y0), g(z1), g(y2)) -> c2(F(g(y0), z1, g(y2))) F(0, 1, g(z2)) -> c3(F(0, 1, z2)) F(z0, z1, g(g(y2))) -> c3(F(z0, z1, g(y2))) F(g(0), 1, g(z2)) -> c3(F(g(0), 1, z2)) F(g(g(y0)), z1, g(z2)) -> c3(F(g(g(y0)), z1, z2)) F(g(y0), g(y1), g(z2)) -> c3(F(g(y0), g(y1), z2)) F(g(y0), z1, g(g(y2))) -> c3(F(g(y0), z1, g(y2))) F(0, g(1), g(z2)) -> c3(F(0, g(1), z2)) F(z0, g(g(y1)), g(z2)) -> c3(F(z0, g(g(y1)), z2)) F(z0, g(y1), g(g(y2))) -> c3(F(z0, g(y1), g(y2))) F(g(0), g(1), g(z2)) -> c3(F(g(0), g(1), z2)) F(g(g(y0)), g(y1), g(z2)) -> c3(F(g(g(y0)), g(y1), z2)) F(g(y0), g(g(y1)), g(z2)) -> c3(F(g(y0), g(g(y1)), z2)) F(g(y0), g(y1), g(g(y2))) -> c3(F(g(y0), g(y1), g(y2))) F(g(g(0)), 1, z2) -> c1(F(g(0), 1, z2)) F(g(g(g(y0))), z1, z2) -> c1(F(g(g(y0)), z1, z2)) F(g(g(z0)), g(y1), z2) -> c1(F(g(z0), g(y1), z2)) F(g(g(z0)), z1, g(y2)) -> c1(F(g(z0), z1, g(y2))) F(g(g(z0)), g(g(y1)), z2) -> c1(F(g(z0), g(g(y1)), z2)) F(g(g(z0)), g(y1), g(y2)) -> c1(F(g(z0), g(y1), g(y2))) F(g(g(0)), g(1), z2) -> c1(F(g(0), g(1), z2)) F(g(g(g(y0))), g(y1), z2) -> c1(F(g(g(y0)), g(y1), z2)) F(g(g(z0)), z1, g(g(y2))) -> c1(F(g(z0), z1, g(g(y2)))) F(g(g(0)), 1, g(y0)) -> c1(F(g(0), 1, g(y0))) F(g(g(g(y0))), z1, g(y2)) -> c1(F(g(g(y0)), z1, g(y2))) F(g(g(z0)), g(g(y1)), g(y2)) -> c1(F(g(z0), g(g(y1)), g(y2))) F(g(g(z0)), g(y1), g(g(y2))) -> c1(F(g(z0), g(y1), g(g(y2)))) F(g(g(0)), g(1), g(y0)) -> c1(F(g(0), g(1), g(y0))) F(g(g(g(y0))), g(y1), g(y2)) -> c1(F(g(g(y0)), g(y1), g(y2))) F(g(0), g(1), z2) -> c1(F(0, g(1), z2)) F(g(z0), g(g(y1)), z2) -> c1(F(z0, g(g(y1)), z2)) F(g(z0), g(z1), g(y2)) -> c1(F(z0, g(z1), g(y2))) F(g(z0), g(z1), g(g(y2))) -> c1(F(z0, g(z1), g(g(y2)))) F(g(0), g(1), g(y0)) -> c1(F(0, g(1), g(y0))) F(g(z0), g(g(y1)), g(y2)) -> c1(F(z0, g(g(y1)), g(y2))) F(g(g(g(g(y0)))), g(z1), z2) -> c1(F(g(g(g(y0))), g(z1), z2)) F(g(g(g(y0))), g(g(y1)), z2) -> c1(F(g(g(y0)), g(g(y1)), z2)) F(g(g(g(0))), g(1), z2) -> c1(F(g(g(0)), g(1), z2)) F(g(g(g(y0))), g(z1), g(g(y2))) -> c1(F(g(g(y0)), g(z1), g(g(y2)))) F(g(g(g(g(y0)))), g(z1), g(y2)) -> c1(F(g(g(g(y0))), g(z1), g(y2))) F(g(g(g(y0))), g(g(y1)), g(y2)) -> c1(F(g(g(y0)), g(g(y1)), g(y2))) F(g(g(g(0))), g(1), g(y0)) -> c1(F(g(g(0)), g(1), g(y0))) F(0, 1, g(y2)) -> c(F(g(g(y2)), g(g(y2)), g(y2))) F(0, 1, g(g(y2))) -> c(F(g(g(g(y2))), g(g(g(y2))), g(g(y2)))) F(0, 1, g(g(g(y0)))) -> c(F(g(g(g(g(y0)))), g(g(g(g(y0)))), g(g(g(y0))))) F(g(0), 1, g(y0)) -> c1(F(0, 1, g(y0))) F(g(0), 1, g(g(y2))) -> c1(F(0, 1, g(g(y2)))) F(g(0), 1, g(g(g(y0)))) -> c1(F(0, 1, g(g(g(y0))))) F(g(z0), z1, g(g(y2))) -> c1(F(z0, z1, g(g(y2)))) F(g(g(g(0))), 1, g(z2)) -> c1(F(g(g(0)), 1, g(z2))) F(g(g(g(g(y0)))), z1, g(z2)) -> c1(F(g(g(g(y0))), z1, g(z2))) F(g(g(g(y0))), z1, g(g(y2))) -> c1(F(g(g(y0)), z1, g(g(y2)))) F(g(g(g(g(g(y0))))), g(y1), g(z2)) -> c1(F(g(g(g(g(y0)))), g(y1), g(z2))) F(g(g(g(g(y0)))), g(g(y1)), g(z2)) -> c1(F(g(g(g(y0))), g(g(y1)), g(z2))) F(g(g(g(g(0)))), g(1), g(z2)) -> c1(F(g(g(g(0))), g(1), g(z2))) F(g(g(g(g(y0)))), g(y1), g(g(y2))) -> c1(F(g(g(g(y0))), g(y1), g(g(y2)))) F(g(g(0)), 1, g(g(y0))) -> c1(F(g(0), 1, g(g(y0)))) F(g(g(0)), 1, g(g(g(y0)))) -> c1(F(g(0), 1, g(g(g(y0))))) F(0, g(1), g(y0)) -> c2(F(0, 1, g(y0))) F(0, g(1), g(g(y2))) -> c2(F(0, 1, g(g(y2)))) F(0, g(1), g(g(g(y0)))) -> c2(F(0, 1, g(g(g(y0))))) F(z0, g(g(g(y1))), z2) -> c2(F(z0, g(g(y1)), z2)) F(z0, g(g(z1)), g(y2)) -> c2(F(z0, g(z1), g(y2))) F(g(0), g(g(1)), z2) -> c2(F(g(0), g(1), z2)) F(g(g(y0)), g(g(z1)), z2) -> c2(F(g(g(y0)), g(z1), z2)) F(g(y0), g(g(g(y1))), z2) -> c2(F(g(y0), g(g(y1)), z2)) F(g(y0), g(g(z1)), g(y2)) -> c2(F(g(y0), g(z1), g(y2))) F(z0, g(g(z1)), g(g(y2))) -> c2(F(z0, g(z1), g(g(y2)))) F(g(g(y0)), g(g(z1)), g(y2)) -> c2(F(g(g(y0)), g(z1), g(y2))) F(g(y0), g(g(z1)), g(g(y2))) -> c2(F(g(y0), g(z1), g(g(y2)))) F(0, g(g(1)), g(y0)) -> c2(F(0, g(1), g(y0))) F(z0, g(g(g(y1))), g(y2)) -> c2(F(z0, g(g(y1)), g(y2))) F(g(0), g(g(1)), g(y0)) -> c2(F(g(0), g(1), g(y0))) F(g(y0), g(g(g(y1))), g(y2)) -> c2(F(g(y0), g(g(y1)), g(y2))) F(g(g(g(y0))), g(g(z1)), z2) -> c2(F(g(g(g(y0))), g(z1), z2)) F(g(g(y0)), g(g(g(y1))), z2) -> c2(F(g(g(y0)), g(g(y1)), z2)) F(g(g(0)), g(g(1)), z2) -> c2(F(g(g(0)), g(1), z2)) F(g(g(y0)), g(g(z1)), g(g(y2))) -> c2(F(g(g(y0)), g(z1), g(g(y2)))) F(g(g(g(y0))), g(g(z1)), g(y2)) -> c2(F(g(g(g(y0))), g(z1), g(y2))) F(g(g(y0)), g(g(g(y1))), g(y2)) -> c2(F(g(g(y0)), g(g(y1)), g(y2))) F(g(g(0)), g(g(1)), g(y0)) -> c2(F(g(g(0)), g(1), g(y0))) F(g(g(g(g(y0)))), g(g(z1)), z2) -> c2(F(g(g(g(g(y0)))), g(z1), z2)) F(g(g(g(y0))), g(g(g(y1))), z2) -> c2(F(g(g(g(y0))), g(g(y1)), z2)) F(g(g(g(0))), g(g(1)), z2) -> c2(F(g(g(g(0))), g(1), z2)) F(g(g(g(y0))), g(g(z1)), g(g(y2))) -> c2(F(g(g(g(y0))), g(z1), g(g(y2)))) F(g(g(g(g(y0)))), g(g(z1)), g(y2)) -> c2(F(g(g(g(g(y0)))), g(z1), g(y2))) F(g(g(g(y0))), g(g(g(y1))), g(y2)) -> c2(F(g(g(g(y0))), g(g(y1)), g(y2))) F(g(g(g(0))), g(g(1)), g(y0)) -> c2(F(g(g(g(0))), g(1), g(y0))) F(g(g(g(g(g(y0))))), g(g(z1)), g(y2)) -> c2(F(g(g(g(g(g(y0))))), g(z1), g(y2))) F(g(g(g(g(y0)))), g(g(g(y1))), g(y2)) -> c2(F(g(g(g(g(y0)))), g(g(y1)), g(y2))) F(g(g(g(g(0)))), g(g(1)), g(y0)) -> c2(F(g(g(g(g(0)))), g(1), g(y0))) F(g(g(g(g(y0)))), g(g(z1)), g(g(y2))) -> c2(F(g(g(g(g(y0)))), g(z1), g(g(y2)))) F(0, g(g(1)), g(g(y0))) -> c2(F(0, g(1), g(g(y0)))) F(0, g(g(1)), g(g(g(y0)))) -> c2(F(0, g(1), g(g(g(y0))))) F(z0, g(z1), g(g(y2))) -> c2(F(z0, z1, g(g(y2)))) F(g(0), g(1), g(z2)) -> c2(F(g(0), 1, g(z2))) F(g(g(y0)), g(z1), g(z2)) -> c2(F(g(g(y0)), z1, g(z2))) F(g(y0), g(z1), g(g(y2))) -> c2(F(g(y0), z1, g(g(y2)))) F(g(g(0)), g(1), g(z2)) -> c2(F(g(g(0)), 1, g(z2))) F(g(g(g(y0))), g(z1), g(z2)) -> c2(F(g(g(g(y0))), z1, g(z2))) F(g(g(y0)), g(z1), g(g(y2))) -> c2(F(g(g(y0)), z1, g(g(y2)))) F(g(0), g(1), g(g(y0))) -> c2(F(g(0), 1, g(g(y0)))) F(g(0), g(1), g(g(g(y0)))) -> c2(F(g(0), 1, g(g(g(y0))))) F(g(g(g(0))), g(1), g(z2)) -> c2(F(g(g(g(0))), 1, g(z2))) F(g(g(g(g(y0)))), g(z1), g(z2)) -> c2(F(g(g(g(g(y0)))), z1, g(z2))) F(g(g(g(y0))), g(z1), g(g(y2))) -> c2(F(g(g(g(y0))), z1, g(g(y2)))) F(g(g(0)), g(1), g(g(y0))) -> c2(F(g(g(0)), 1, g(g(y0)))) F(g(g(0)), g(1), g(g(g(y0)))) -> c2(F(g(g(0)), 1, g(g(g(y0))))) F(z0, g(g(g(g(y1)))), g(z2)) -> c2(F(z0, g(g(g(y1))), g(z2))) F(g(0), g(g(g(1))), g(z2)) -> c2(F(g(0), g(g(1)), g(z2))) F(g(y0), g(g(g(g(y1)))), g(z2)) -> c2(F(g(y0), g(g(g(y1))), g(z2))) F(z0, g(g(g(y1))), g(g(y2))) -> c2(F(z0, g(g(y1)), g(g(y2)))) F(g(y0), g(g(g(y1))), g(g(y2))) -> c2(F(g(y0), g(g(y1)), g(g(y2)))) F(0, g(g(g(1))), g(z2)) -> c2(F(0, g(g(1)), g(z2))) F(g(g(y0)), g(g(g(g(y1)))), g(z2)) -> c2(F(g(g(y0)), g(g(g(y1))), g(z2))) F(g(g(0)), g(g(g(1))), g(z2)) -> c2(F(g(g(0)), g(g(1)), g(z2))) F(g(g(y0)), g(g(g(y1))), g(g(y2))) -> c2(F(g(g(y0)), g(g(y1)), g(g(y2)))) F(g(g(g(y0))), g(g(g(g(y1)))), g(z2)) -> c2(F(g(g(g(y0))), g(g(g(y1))), g(z2))) F(g(g(g(0))), g(g(g(1))), g(z2)) -> c2(F(g(g(g(0))), g(g(1)), g(z2))) F(g(g(g(y0))), g(g(g(y1))), g(g(y2))) -> c2(F(g(g(g(y0))), g(g(y1)), g(g(y2)))) F(g(g(g(g(g(y0))))), g(g(g(y1))), g(z2)) -> c2(F(g(g(g(g(g(y0))))), g(g(y1)), g(z2))) F(g(g(g(g(y0)))), g(g(g(g(y1)))), g(z2)) -> c2(F(g(g(g(g(y0)))), g(g(g(y1))), g(z2))) F(g(g(g(g(0)))), g(g(g(1))), g(z2)) -> c2(F(g(g(g(g(0)))), g(g(1)), g(z2))) F(g(g(g(g(y0)))), g(g(g(y1))), g(g(y2))) -> c2(F(g(g(g(g(y0)))), g(g(y1)), g(g(y2)))) F(0, g(g(g(1))), g(g(y0))) -> c2(F(0, g(g(1)), g(g(y0)))) F(0, g(g(g(1))), g(g(g(y0)))) -> c2(F(0, g(g(1)), g(g(g(y0))))) S tuples: F(g(g(y0)), g(z1), z2) -> c2(F(g(g(y0)), z1, z2)) F(g(y0), g(g(y1)), z2) -> c2(F(g(y0), g(y1), z2)) F(g(y0), g(z1), g(y2)) -> c2(F(g(y0), z1, g(y2))) F(g(g(0)), 1, z2) -> c1(F(g(0), 1, z2)) F(g(g(g(y0))), z1, z2) -> c1(F(g(g(y0)), z1, z2)) F(g(g(z0)), g(y1), z2) -> c1(F(g(z0), g(y1), z2)) F(g(g(z0)), z1, g(y2)) -> c1(F(g(z0), z1, g(y2))) F(g(g(z0)), g(g(y1)), z2) -> c1(F(g(z0), g(g(y1)), z2)) F(g(g(z0)), g(y1), g(y2)) -> c1(F(g(z0), g(y1), g(y2))) F(g(g(0)), g(1), z2) -> c1(F(g(0), g(1), z2)) F(g(g(g(y0))), g(y1), z2) -> c1(F(g(g(y0)), g(y1), z2)) F(g(g(z0)), z1, g(g(y2))) -> c1(F(g(z0), z1, g(g(y2)))) F(g(g(0)), 1, g(y0)) -> c1(F(g(0), 1, g(y0))) F(g(g(g(y0))), z1, g(y2)) -> c1(F(g(g(y0)), z1, g(y2))) F(g(g(z0)), g(g(y1)), g(y2)) -> c1(F(g(z0), g(g(y1)), g(y2))) F(g(g(z0)), g(y1), g(g(y2))) -> c1(F(g(z0), g(y1), g(g(y2)))) F(g(g(0)), g(1), g(y0)) -> c1(F(g(0), g(1), g(y0))) F(g(g(g(y0))), g(y1), g(y2)) -> c1(F(g(g(y0)), g(y1), g(y2))) F(g(0), g(1), z2) -> c1(F(0, g(1), z2)) F(g(z0), g(g(y1)), z2) -> c1(F(z0, g(g(y1)), z2)) F(g(z0), g(z1), g(y2)) -> c1(F(z0, g(z1), g(y2))) F(g(z0), g(z1), g(g(y2))) -> c1(F(z0, g(z1), g(g(y2)))) F(g(0), g(1), g(y0)) -> c1(F(0, g(1), g(y0))) F(g(z0), g(g(y1)), g(y2)) -> c1(F(z0, g(g(y1)), g(y2))) F(g(g(g(g(y0)))), g(z1), z2) -> c1(F(g(g(g(y0))), g(z1), z2)) F(g(g(g(y0))), g(g(y1)), z2) -> c1(F(g(g(y0)), g(g(y1)), z2)) F(g(g(g(0))), g(1), z2) -> c1(F(g(g(0)), g(1), z2)) F(g(g(g(y0))), g(z1), g(g(y2))) -> c1(F(g(g(y0)), g(z1), g(g(y2)))) F(g(g(g(g(y0)))), g(z1), g(y2)) -> c1(F(g(g(g(y0))), g(z1), g(y2))) F(g(g(g(y0))), g(g(y1)), g(y2)) -> c1(F(g(g(y0)), g(g(y1)), g(y2))) F(g(g(g(0))), g(1), g(y0)) -> c1(F(g(g(0)), g(1), g(y0))) F(0, 1, g(y2)) -> c(F(g(g(y2)), g(g(y2)), g(y2))) F(0, 1, g(g(y2))) -> c(F(g(g(g(y2))), g(g(g(y2))), g(g(y2)))) F(0, 1, g(g(g(y0)))) -> c(F(g(g(g(g(y0)))), g(g(g(g(y0)))), g(g(g(y0))))) F(g(0), 1, g(y0)) -> c1(F(0, 1, g(y0))) F(g(0), 1, g(g(y2))) -> c1(F(0, 1, g(g(y2)))) F(g(0), 1, g(g(g(y0)))) -> c1(F(0, 1, g(g(g(y0))))) F(g(z0), z1, g(g(y2))) -> c1(F(z0, z1, g(g(y2)))) F(g(g(g(0))), 1, g(z2)) -> c1(F(g(g(0)), 1, g(z2))) F(g(g(g(g(y0)))), z1, g(z2)) -> c1(F(g(g(g(y0))), z1, g(z2))) F(g(g(g(y0))), z1, g(g(y2))) -> c1(F(g(g(y0)), z1, g(g(y2)))) F(g(g(g(g(g(y0))))), g(y1), g(z2)) -> c1(F(g(g(g(g(y0)))), g(y1), g(z2))) F(g(g(g(g(y0)))), g(g(y1)), g(z2)) -> c1(F(g(g(g(y0))), g(g(y1)), g(z2))) F(g(g(g(g(0)))), g(1), g(z2)) -> c1(F(g(g(g(0))), g(1), g(z2))) F(g(g(g(g(y0)))), g(y1), g(g(y2))) -> c1(F(g(g(g(y0))), g(y1), g(g(y2)))) F(g(g(0)), 1, g(g(y0))) -> c1(F(g(0), 1, g(g(y0)))) F(g(g(0)), 1, g(g(g(y0)))) -> c1(F(g(0), 1, g(g(g(y0))))) F(0, g(1), g(y0)) -> c2(F(0, 1, g(y0))) F(0, g(1), g(g(y2))) -> c2(F(0, 1, g(g(y2)))) F(0, g(1), g(g(g(y0)))) -> c2(F(0, 1, g(g(g(y0))))) F(z0, g(g(g(y1))), z2) -> c2(F(z0, g(g(y1)), z2)) F(z0, g(g(z1)), g(y2)) -> c2(F(z0, g(z1), g(y2))) F(g(0), g(g(1)), z2) -> c2(F(g(0), g(1), z2)) F(g(g(y0)), g(g(z1)), z2) -> c2(F(g(g(y0)), g(z1), z2)) F(g(y0), g(g(g(y1))), z2) -> c2(F(g(y0), g(g(y1)), z2)) F(g(y0), g(g(z1)), g(y2)) -> c2(F(g(y0), g(z1), g(y2))) F(z0, g(g(z1)), g(g(y2))) -> c2(F(z0, g(z1), g(g(y2)))) F(g(g(y0)), g(g(z1)), g(y2)) -> c2(F(g(g(y0)), g(z1), g(y2))) F(g(y0), g(g(z1)), g(g(y2))) -> c2(F(g(y0), g(z1), g(g(y2)))) F(0, g(g(1)), g(y0)) -> c2(F(0, g(1), g(y0))) F(z0, g(g(g(y1))), g(y2)) -> c2(F(z0, g(g(y1)), g(y2))) F(g(0), g(g(1)), g(y0)) -> c2(F(g(0), g(1), g(y0))) F(g(y0), g(g(g(y1))), g(y2)) -> c2(F(g(y0), g(g(y1)), g(y2))) F(g(g(g(y0))), g(g(z1)), z2) -> c2(F(g(g(g(y0))), g(z1), z2)) F(g(g(y0)), g(g(g(y1))), z2) -> c2(F(g(g(y0)), g(g(y1)), z2)) F(g(g(0)), g(g(1)), z2) -> c2(F(g(g(0)), g(1), z2)) F(g(g(y0)), g(g(z1)), g(g(y2))) -> c2(F(g(g(y0)), g(z1), g(g(y2)))) F(g(g(g(y0))), g(g(z1)), g(y2)) -> c2(F(g(g(g(y0))), g(z1), g(y2))) F(g(g(y0)), g(g(g(y1))), g(y2)) -> c2(F(g(g(y0)), g(g(y1)), g(y2))) F(g(g(0)), g(g(1)), g(y0)) -> c2(F(g(g(0)), g(1), g(y0))) F(g(g(g(g(y0)))), g(g(z1)), z2) -> c2(F(g(g(g(g(y0)))), g(z1), z2)) F(g(g(g(y0))), g(g(g(y1))), z2) -> c2(F(g(g(g(y0))), g(g(y1)), z2)) F(g(g(g(0))), g(g(1)), z2) -> c2(F(g(g(g(0))), g(1), z2)) F(g(g(g(y0))), g(g(z1)), g(g(y2))) -> c2(F(g(g(g(y0))), g(z1), g(g(y2)))) F(g(g(g(g(y0)))), g(g(z1)), g(y2)) -> c2(F(g(g(g(g(y0)))), g(z1), g(y2))) F(g(g(g(y0))), g(g(g(y1))), g(y2)) -> c2(F(g(g(g(y0))), g(g(y1)), g(y2))) F(g(g(g(0))), g(g(1)), g(y0)) -> c2(F(g(g(g(0))), g(1), g(y0))) F(g(g(g(g(g(y0))))), g(g(z1)), g(y2)) -> c2(F(g(g(g(g(g(y0))))), g(z1), g(y2))) F(g(g(g(g(y0)))), g(g(g(y1))), g(y2)) -> c2(F(g(g(g(g(y0)))), g(g(y1)), g(y2))) F(g(g(g(g(0)))), g(g(1)), g(y0)) -> c2(F(g(g(g(g(0)))), g(1), g(y0))) F(g(g(g(g(y0)))), g(g(z1)), g(g(y2))) -> c2(F(g(g(g(g(y0)))), g(z1), g(g(y2)))) F(0, g(g(1)), g(g(y0))) -> c2(F(0, g(1), g(g(y0)))) F(0, g(g(1)), g(g(g(y0)))) -> c2(F(0, g(1), g(g(g(y0))))) F(z0, g(z1), g(g(y2))) -> c2(F(z0, z1, g(g(y2)))) F(g(0), g(1), g(z2)) -> c2(F(g(0), 1, g(z2))) F(g(g(y0)), g(z1), g(z2)) -> c2(F(g(g(y0)), z1, g(z2))) F(g(y0), g(z1), g(g(y2))) -> c2(F(g(y0), z1, g(g(y2)))) F(g(g(0)), g(1), g(z2)) -> c2(F(g(g(0)), 1, g(z2))) F(g(g(g(y0))), g(z1), g(z2)) -> c2(F(g(g(g(y0))), z1, g(z2))) F(g(g(y0)), g(z1), g(g(y2))) -> c2(F(g(g(y0)), z1, g(g(y2)))) F(g(0), g(1), g(g(y0))) -> c2(F(g(0), 1, g(g(y0)))) F(g(0), g(1), g(g(g(y0)))) -> c2(F(g(0), 1, g(g(g(y0))))) F(g(g(g(0))), g(1), g(z2)) -> c2(F(g(g(g(0))), 1, g(z2))) F(g(g(g(g(y0)))), g(z1), g(z2)) -> c2(F(g(g(g(g(y0)))), z1, g(z2))) F(g(g(g(y0))), g(z1), g(g(y2))) -> c2(F(g(g(g(y0))), z1, g(g(y2)))) F(g(g(0)), g(1), g(g(y0))) -> c2(F(g(g(0)), 1, g(g(y0)))) F(g(g(0)), g(1), g(g(g(y0)))) -> c2(F(g(g(0)), 1, g(g(g(y0))))) F(z0, g(g(g(g(y1)))), g(z2)) -> c2(F(z0, g(g(g(y1))), g(z2))) F(g(0), g(g(g(1))), g(z2)) -> c2(F(g(0), g(g(1)), g(z2))) F(g(y0), g(g(g(g(y1)))), g(z2)) -> c2(F(g(y0), g(g(g(y1))), g(z2))) F(z0, g(g(g(y1))), g(g(y2))) -> c2(F(z0, g(g(y1)), g(g(y2)))) F(g(y0), g(g(g(y1))), g(g(y2))) -> c2(F(g(y0), g(g(y1)), g(g(y2)))) F(0, g(g(g(1))), g(z2)) -> c2(F(0, g(g(1)), g(z2))) F(g(g(y0)), g(g(g(g(y1)))), g(z2)) -> c2(F(g(g(y0)), g(g(g(y1))), g(z2))) F(g(g(0)), g(g(g(1))), g(z2)) -> c2(F(g(g(0)), g(g(1)), g(z2))) F(g(g(y0)), g(g(g(y1))), g(g(y2))) -> c2(F(g(g(y0)), g(g(y1)), g(g(y2)))) F(g(g(g(y0))), g(g(g(g(y1)))), g(z2)) -> c2(F(g(g(g(y0))), g(g(g(y1))), g(z2))) F(g(g(g(0))), g(g(g(1))), g(z2)) -> c2(F(g(g(g(0))), g(g(1)), g(z2))) F(g(g(g(y0))), g(g(g(y1))), g(g(y2))) -> c2(F(g(g(g(y0))), g(g(y1)), g(g(y2)))) F(g(g(g(g(g(y0))))), g(g(g(y1))), g(z2)) -> c2(F(g(g(g(g(g(y0))))), g(g(y1)), g(z2))) F(g(g(g(g(y0)))), g(g(g(g(y1)))), g(z2)) -> c2(F(g(g(g(g(y0)))), g(g(g(y1))), g(z2))) F(g(g(g(g(0)))), g(g(g(1))), g(z2)) -> c2(F(g(g(g(g(0)))), g(g(1)), g(z2))) F(g(g(g(g(y0)))), g(g(g(y1))), g(g(y2))) -> c2(F(g(g(g(g(y0)))), g(g(y1)), g(g(y2)))) F(0, g(g(g(1))), g(g(y0))) -> c2(F(0, g(g(1)), g(g(y0)))) F(0, g(g(g(1))), g(g(g(y0)))) -> c2(F(0, g(g(1)), g(g(g(y0))))) K tuples: F(0, 1, g(z2)) -> c3(F(0, 1, z2)) F(z0, z1, g(g(y2))) -> c3(F(z0, z1, g(y2))) F(g(0), 1, g(z2)) -> c3(F(g(0), 1, z2)) F(g(g(y0)), z1, g(z2)) -> c3(F(g(g(y0)), z1, z2)) F(g(y0), g(y1), g(z2)) -> c3(F(g(y0), g(y1), z2)) F(g(y0), z1, g(g(y2))) -> c3(F(g(y0), z1, g(y2))) F(0, g(1), g(z2)) -> c3(F(0, g(1), z2)) F(z0, g(g(y1)), g(z2)) -> c3(F(z0, g(g(y1)), z2)) F(z0, g(y1), g(g(y2))) -> c3(F(z0, g(y1), g(y2))) F(g(0), g(1), g(z2)) -> c3(F(g(0), g(1), z2)) F(g(g(y0)), g(y1), g(z2)) -> c3(F(g(g(y0)), g(y1), z2)) F(g(y0), g(g(y1)), g(z2)) -> c3(F(g(y0), g(g(y1)), z2)) F(g(y0), g(y1), g(g(y2))) -> c3(F(g(y0), g(y1), g(y2))) Defined Rule Symbols:none Defined Pair Symbols: F_3 Compound Symbols: c2_1, c3_1, c1_1, c_1 ---------------------------------------- (59) CdtForwardInstantiationProof (BOTH BOUNDS(ID, ID)) Use forward instantiation to replace F(g(g(y0)), g(z1), z2) -> c2(F(g(g(y0)), z1, z2)) by F(g(g(z0)), g(g(y1)), z2) -> c2(F(g(g(z0)), g(y1), z2)) F(g(g(z0)), g(g(g(y1))), z2) -> c2(F(g(g(z0)), g(g(y1)), z2)) F(g(g(z0)), g(g(y1)), g(y2)) -> c2(F(g(g(z0)), g(y1), g(y2))) F(g(g(z0)), g(z1), g(g(y2))) -> c2(F(g(g(z0)), z1, g(g(y2)))) F(g(g(z0)), g(z1), g(y2)) -> c2(F(g(g(z0)), z1, g(y2))) F(g(g(z0)), g(g(g(y1))), g(y2)) -> c2(F(g(g(z0)), g(g(y1)), g(y2))) F(g(g(z0)), g(g(y1)), g(g(y2))) -> c2(F(g(g(z0)), g(y1), g(g(y2)))) F(g(g(0)), g(1), z2) -> c2(F(g(g(0)), 1, z2)) F(g(g(g(y0))), g(z1), z2) -> c2(F(g(g(g(y0))), z1, z2)) F(g(g(0)), g(g(1)), z2) -> c2(F(g(g(0)), g(1), z2)) F(g(g(g(y0))), g(g(y1)), z2) -> c2(F(g(g(g(y0))), g(y1), z2)) F(g(g(0)), g(1), g(y0)) -> c2(F(g(g(0)), 1, g(y0))) F(g(g(g(y0))), g(z1), g(y2)) -> c2(F(g(g(g(y0))), z1, g(y2))) F(g(g(0)), g(g(1)), g(y0)) -> c2(F(g(g(0)), g(1), g(y0))) F(g(g(g(y0))), g(g(y1)), g(y2)) -> c2(F(g(g(g(y0))), g(y1), g(y2))) F(g(g(g(g(y0)))), g(g(y1)), z2) -> c2(F(g(g(g(g(y0)))), g(y1), z2)) F(g(g(g(y0))), g(g(g(y1))), z2) -> c2(F(g(g(g(y0))), g(g(y1)), z2)) F(g(g(g(0))), g(g(1)), z2) -> c2(F(g(g(g(0))), g(1), z2)) F(g(g(g(y0))), g(g(y1)), g(g(y2))) -> c2(F(g(g(g(y0))), g(y1), g(g(y2)))) F(g(g(g(g(y0)))), g(g(y1)), g(y2)) -> c2(F(g(g(g(g(y0)))), g(y1), g(y2))) F(g(g(g(y0))), g(g(g(y1))), g(y2)) -> c2(F(g(g(g(y0))), g(g(y1)), g(y2))) F(g(g(g(0))), g(g(1)), g(y0)) -> c2(F(g(g(g(0))), g(1), g(y0))) F(g(g(g(0))), g(1), g(y0)) -> c2(F(g(g(g(0))), 1, g(y0))) F(g(g(g(g(y0)))), g(z1), g(y2)) -> c2(F(g(g(g(g(y0)))), z1, g(y2))) F(g(g(g(y0))), g(z1), g(g(y2))) -> c2(F(g(g(g(y0))), z1, g(g(y2)))) F(g(g(g(g(g(y0))))), g(g(y1)), g(y2)) -> c2(F(g(g(g(g(g(y0))))), g(y1), g(y2))) F(g(g(g(g(y0)))), g(g(g(y1))), g(y2)) -> c2(F(g(g(g(g(y0)))), g(g(y1)), g(y2))) F(g(g(g(g(0)))), g(g(1)), g(y0)) -> c2(F(g(g(g(g(0)))), g(1), g(y0))) F(g(g(g(g(y0)))), g(g(y1)), g(g(y2))) -> c2(F(g(g(g(g(y0)))), g(y1), g(g(y2)))) F(g(g(0)), g(1), g(g(y0))) -> c2(F(g(g(0)), 1, g(g(y0)))) F(g(g(0)), g(1), g(g(g(y0)))) -> c2(F(g(g(0)), 1, g(g(g(y0))))) F(g(g(z0)), g(g(g(g(y1)))), z2) -> c2(F(g(g(z0)), g(g(g(y1))), z2)) F(g(g(z0)), g(g(g(y1))), g(g(y2))) -> c2(F(g(g(z0)), g(g(y1)), g(g(y2)))) F(g(g(z0)), g(g(g(g(y1)))), g(y2)) -> c2(F(g(g(z0)), g(g(g(y1))), g(y2))) F(g(g(0)), g(g(g(1))), z2) -> c2(F(g(g(0)), g(g(1)), z2)) F(g(g(0)), g(g(g(1))), g(y0)) -> c2(F(g(g(0)), g(g(1)), g(y0))) F(g(g(g(g(y0)))), g(g(g(y1))), z2) -> c2(F(g(g(g(g(y0)))), g(g(y1)), z2)) F(g(g(g(y0))), g(g(g(g(y1)))), z2) -> c2(F(g(g(g(y0))), g(g(g(y1))), z2)) F(g(g(g(0))), g(g(g(1))), z2) -> c2(F(g(g(g(0))), g(g(1)), z2)) F(g(g(g(y0))), g(g(g(y1))), g(g(y2))) -> c2(F(g(g(g(y0))), g(g(y1)), g(g(y2)))) F(g(g(g(y0))), g(g(g(g(y1)))), g(y2)) -> c2(F(g(g(g(y0))), g(g(g(y1))), g(y2))) F(g(g(g(0))), g(g(g(1))), g(y0)) -> c2(F(g(g(g(0))), g(g(1)), g(y0))) F(g(g(g(g(g(y0))))), g(g(g(y1))), g(y2)) -> c2(F(g(g(g(g(g(y0))))), g(g(y1)), g(y2))) F(g(g(g(g(y0)))), g(g(g(g(y1)))), g(y2)) -> c2(F(g(g(g(g(y0)))), g(g(g(y1))), g(y2))) F(g(g(g(g(0)))), g(g(g(1))), g(y0)) -> c2(F(g(g(g(g(0)))), g(g(1)), g(y0))) F(g(g(g(g(y0)))), g(g(g(y1))), g(g(y2))) -> c2(F(g(g(g(g(y0)))), g(g(y1)), g(g(y2)))) F(g(g(0)), g(g(1)), g(g(y0))) -> c2(F(g(g(0)), g(1), g(g(y0)))) F(g(g(0)), g(g(1)), g(g(g(y0)))) -> c2(F(g(g(0)), g(1), g(g(g(y0))))) F(g(g(z0)), g(g(g(g(g(y1))))), g(y2)) -> c2(F(g(g(z0)), g(g(g(g(y1)))), g(y2))) F(g(g(z0)), g(g(g(g(y1)))), g(g(y2))) -> c2(F(g(g(z0)), g(g(g(y1))), g(g(y2)))) F(g(g(0)), g(g(g(g(1)))), g(y0)) -> c2(F(g(g(0)), g(g(g(1))), g(y0))) F(g(g(g(y0))), g(g(g(g(g(y1))))), g(y2)) -> c2(F(g(g(g(y0))), g(g(g(g(y1)))), g(y2))) F(g(g(g(0))), g(g(g(g(1)))), g(y0)) -> c2(F(g(g(g(0))), g(g(g(1))), g(y0))) F(g(g(g(y0))), g(g(g(g(y1)))), g(g(y2))) -> c2(F(g(g(g(y0))), g(g(g(y1))), g(g(y2)))) F(g(g(g(g(g(y0))))), g(g(g(g(y1)))), g(y2)) -> c2(F(g(g(g(g(g(y0))))), g(g(g(y1))), g(y2))) F(g(g(g(g(y0)))), g(g(g(g(g(y1))))), g(y2)) -> c2(F(g(g(g(g(y0)))), g(g(g(g(y1)))), g(y2))) F(g(g(g(g(0)))), g(g(g(g(1)))), g(y0)) -> c2(F(g(g(g(g(0)))), g(g(g(1))), g(y0))) F(g(g(g(g(y0)))), g(g(g(g(y1)))), g(g(y2))) -> c2(F(g(g(g(g(y0)))), g(g(g(y1))), g(g(y2)))) ---------------------------------------- (60) Obligation: Complexity Dependency Tuples Problem Rules:none Tuples: F(g(y0), g(g(y1)), z2) -> c2(F(g(y0), g(y1), z2)) F(g(y0), g(z1), g(y2)) -> c2(F(g(y0), z1, g(y2))) F(0, 1, g(z2)) -> c3(F(0, 1, z2)) F(z0, z1, g(g(y2))) -> c3(F(z0, z1, g(y2))) F(g(0), 1, g(z2)) -> c3(F(g(0), 1, z2)) F(g(g(y0)), z1, g(z2)) -> c3(F(g(g(y0)), z1, z2)) F(g(y0), g(y1), g(z2)) -> c3(F(g(y0), g(y1), z2)) F(g(y0), z1, g(g(y2))) -> c3(F(g(y0), z1, g(y2))) F(0, g(1), g(z2)) -> c3(F(0, g(1), z2)) F(z0, g(g(y1)), g(z2)) -> c3(F(z0, g(g(y1)), z2)) F(z0, g(y1), g(g(y2))) -> c3(F(z0, g(y1), g(y2))) F(g(0), g(1), g(z2)) -> c3(F(g(0), g(1), z2)) F(g(g(y0)), g(y1), g(z2)) -> c3(F(g(g(y0)), g(y1), z2)) F(g(y0), g(g(y1)), g(z2)) -> c3(F(g(y0), g(g(y1)), z2)) F(g(y0), g(y1), g(g(y2))) -> c3(F(g(y0), g(y1), g(y2))) F(g(g(0)), 1, z2) -> c1(F(g(0), 1, z2)) F(g(g(g(y0))), z1, z2) -> c1(F(g(g(y0)), z1, z2)) F(g(g(z0)), g(y1), z2) -> c1(F(g(z0), g(y1), z2)) F(g(g(z0)), z1, g(y2)) -> c1(F(g(z0), z1, g(y2))) F(g(g(z0)), g(g(y1)), z2) -> c1(F(g(z0), g(g(y1)), z2)) F(g(g(z0)), g(y1), g(y2)) -> c1(F(g(z0), g(y1), g(y2))) F(g(g(0)), g(1), z2) -> c1(F(g(0), g(1), z2)) F(g(g(g(y0))), g(y1), z2) -> c1(F(g(g(y0)), g(y1), z2)) F(g(g(z0)), z1, g(g(y2))) -> c1(F(g(z0), z1, g(g(y2)))) F(g(g(0)), 1, g(y0)) -> c1(F(g(0), 1, g(y0))) F(g(g(g(y0))), z1, g(y2)) -> c1(F(g(g(y0)), z1, g(y2))) F(g(g(z0)), g(g(y1)), g(y2)) -> c1(F(g(z0), g(g(y1)), g(y2))) F(g(g(z0)), g(y1), g(g(y2))) -> c1(F(g(z0), g(y1), g(g(y2)))) F(g(g(0)), g(1), g(y0)) -> c1(F(g(0), g(1), g(y0))) F(g(g(g(y0))), g(y1), g(y2)) -> c1(F(g(g(y0)), g(y1), g(y2))) F(g(0), g(1), z2) -> c1(F(0, g(1), z2)) F(g(z0), g(g(y1)), z2) -> c1(F(z0, g(g(y1)), z2)) F(g(z0), g(z1), g(y2)) -> c1(F(z0, g(z1), g(y2))) F(g(z0), g(z1), g(g(y2))) -> c1(F(z0, g(z1), g(g(y2)))) F(g(0), g(1), g(y0)) -> c1(F(0, g(1), g(y0))) F(g(z0), g(g(y1)), g(y2)) -> c1(F(z0, g(g(y1)), g(y2))) F(g(g(g(g(y0)))), g(z1), z2) -> c1(F(g(g(g(y0))), g(z1), z2)) F(g(g(g(y0))), g(g(y1)), z2) -> c1(F(g(g(y0)), g(g(y1)), z2)) F(g(g(g(0))), g(1), z2) -> c1(F(g(g(0)), g(1), z2)) F(g(g(g(y0))), g(z1), g(g(y2))) -> c1(F(g(g(y0)), g(z1), g(g(y2)))) F(g(g(g(g(y0)))), g(z1), g(y2)) -> c1(F(g(g(g(y0))), g(z1), g(y2))) F(g(g(g(y0))), g(g(y1)), g(y2)) -> c1(F(g(g(y0)), g(g(y1)), g(y2))) F(g(g(g(0))), g(1), g(y0)) -> c1(F(g(g(0)), g(1), g(y0))) F(0, 1, g(y2)) -> c(F(g(g(y2)), g(g(y2)), g(y2))) F(0, 1, g(g(y2))) -> c(F(g(g(g(y2))), g(g(g(y2))), g(g(y2)))) F(0, 1, g(g(g(y0)))) -> c(F(g(g(g(g(y0)))), g(g(g(g(y0)))), g(g(g(y0))))) F(g(0), 1, g(y0)) -> c1(F(0, 1, g(y0))) F(g(0), 1, g(g(y2))) -> c1(F(0, 1, g(g(y2)))) F(g(0), 1, g(g(g(y0)))) -> c1(F(0, 1, g(g(g(y0))))) F(g(z0), z1, g(g(y2))) -> c1(F(z0, z1, g(g(y2)))) F(g(g(g(0))), 1, g(z2)) -> c1(F(g(g(0)), 1, g(z2))) F(g(g(g(g(y0)))), z1, g(z2)) -> c1(F(g(g(g(y0))), z1, g(z2))) F(g(g(g(y0))), z1, g(g(y2))) -> c1(F(g(g(y0)), z1, g(g(y2)))) F(g(g(g(g(g(y0))))), g(y1), g(z2)) -> c1(F(g(g(g(g(y0)))), g(y1), g(z2))) F(g(g(g(g(y0)))), g(g(y1)), g(z2)) -> c1(F(g(g(g(y0))), g(g(y1)), g(z2))) F(g(g(g(g(0)))), g(1), g(z2)) -> c1(F(g(g(g(0))), g(1), g(z2))) F(g(g(g(g(y0)))), g(y1), g(g(y2))) -> c1(F(g(g(g(y0))), g(y1), g(g(y2)))) F(g(g(0)), 1, g(g(y0))) -> c1(F(g(0), 1, g(g(y0)))) F(g(g(0)), 1, g(g(g(y0)))) -> c1(F(g(0), 1, g(g(g(y0))))) F(0, g(1), g(y0)) -> c2(F(0, 1, g(y0))) F(0, g(1), g(g(y2))) -> c2(F(0, 1, g(g(y2)))) F(0, g(1), g(g(g(y0)))) -> c2(F(0, 1, g(g(g(y0))))) F(z0, g(g(g(y1))), z2) -> c2(F(z0, g(g(y1)), z2)) F(z0, g(g(z1)), g(y2)) -> c2(F(z0, g(z1), g(y2))) F(g(0), g(g(1)), z2) -> c2(F(g(0), g(1), z2)) F(g(g(y0)), g(g(z1)), z2) -> c2(F(g(g(y0)), g(z1), z2)) F(g(y0), g(g(g(y1))), z2) -> c2(F(g(y0), g(g(y1)), z2)) F(g(y0), g(g(z1)), g(y2)) -> c2(F(g(y0), g(z1), g(y2))) F(z0, g(g(z1)), g(g(y2))) -> c2(F(z0, g(z1), g(g(y2)))) F(g(g(y0)), g(g(z1)), g(y2)) -> c2(F(g(g(y0)), g(z1), g(y2))) F(g(y0), g(g(z1)), g(g(y2))) -> c2(F(g(y0), g(z1), g(g(y2)))) F(0, g(g(1)), g(y0)) -> c2(F(0, g(1), g(y0))) F(z0, g(g(g(y1))), g(y2)) -> c2(F(z0, g(g(y1)), g(y2))) F(g(0), g(g(1)), g(y0)) -> c2(F(g(0), g(1), g(y0))) F(g(y0), g(g(g(y1))), g(y2)) -> c2(F(g(y0), g(g(y1)), g(y2))) F(g(g(g(y0))), g(g(z1)), z2) -> c2(F(g(g(g(y0))), g(z1), z2)) F(g(g(y0)), g(g(g(y1))), z2) -> c2(F(g(g(y0)), g(g(y1)), z2)) F(g(g(0)), g(g(1)), z2) -> c2(F(g(g(0)), g(1), z2)) F(g(g(y0)), g(g(z1)), g(g(y2))) -> c2(F(g(g(y0)), g(z1), g(g(y2)))) F(g(g(g(y0))), g(g(z1)), g(y2)) -> c2(F(g(g(g(y0))), g(z1), g(y2))) F(g(g(y0)), g(g(g(y1))), g(y2)) -> c2(F(g(g(y0)), g(g(y1)), g(y2))) F(g(g(0)), g(g(1)), g(y0)) -> c2(F(g(g(0)), g(1), g(y0))) F(g(g(g(g(y0)))), g(g(z1)), z2) -> c2(F(g(g(g(g(y0)))), g(z1), z2)) F(g(g(g(y0))), g(g(g(y1))), z2) -> c2(F(g(g(g(y0))), g(g(y1)), z2)) F(g(g(g(0))), g(g(1)), z2) -> c2(F(g(g(g(0))), g(1), z2)) F(g(g(g(y0))), g(g(z1)), g(g(y2))) -> c2(F(g(g(g(y0))), g(z1), g(g(y2)))) F(g(g(g(g(y0)))), g(g(z1)), g(y2)) -> c2(F(g(g(g(g(y0)))), g(z1), g(y2))) F(g(g(g(y0))), g(g(g(y1))), g(y2)) -> c2(F(g(g(g(y0))), g(g(y1)), g(y2))) F(g(g(g(0))), g(g(1)), g(y0)) -> c2(F(g(g(g(0))), g(1), g(y0))) F(g(g(g(g(g(y0))))), g(g(z1)), g(y2)) -> c2(F(g(g(g(g(g(y0))))), g(z1), g(y2))) F(g(g(g(g(y0)))), g(g(g(y1))), g(y2)) -> c2(F(g(g(g(g(y0)))), g(g(y1)), g(y2))) F(g(g(g(g(0)))), g(g(1)), g(y0)) -> c2(F(g(g(g(g(0)))), g(1), g(y0))) F(g(g(g(g(y0)))), g(g(z1)), g(g(y2))) -> c2(F(g(g(g(g(y0)))), g(z1), g(g(y2)))) F(0, g(g(1)), g(g(y0))) -> c2(F(0, g(1), g(g(y0)))) F(0, g(g(1)), g(g(g(y0)))) -> c2(F(0, g(1), g(g(g(y0))))) F(z0, g(z1), g(g(y2))) -> c2(F(z0, z1, g(g(y2)))) F(g(0), g(1), g(z2)) -> c2(F(g(0), 1, g(z2))) F(g(g(y0)), g(z1), g(z2)) -> c2(F(g(g(y0)), z1, g(z2))) F(g(y0), g(z1), g(g(y2))) -> c2(F(g(y0), z1, g(g(y2)))) F(g(g(0)), g(1), g(z2)) -> c2(F(g(g(0)), 1, g(z2))) F(g(g(g(y0))), g(z1), g(z2)) -> c2(F(g(g(g(y0))), z1, g(z2))) F(g(g(y0)), g(z1), g(g(y2))) -> c2(F(g(g(y0)), z1, g(g(y2)))) F(g(0), g(1), g(g(y0))) -> c2(F(g(0), 1, g(g(y0)))) F(g(0), g(1), g(g(g(y0)))) -> c2(F(g(0), 1, g(g(g(y0))))) F(g(g(g(0))), g(1), g(z2)) -> c2(F(g(g(g(0))), 1, g(z2))) F(g(g(g(g(y0)))), g(z1), g(z2)) -> c2(F(g(g(g(g(y0)))), z1, g(z2))) F(g(g(g(y0))), g(z1), g(g(y2))) -> c2(F(g(g(g(y0))), z1, g(g(y2)))) F(g(g(0)), g(1), g(g(y0))) -> c2(F(g(g(0)), 1, g(g(y0)))) F(g(g(0)), g(1), g(g(g(y0)))) -> c2(F(g(g(0)), 1, g(g(g(y0))))) F(z0, g(g(g(g(y1)))), g(z2)) -> c2(F(z0, g(g(g(y1))), g(z2))) F(g(0), g(g(g(1))), g(z2)) -> c2(F(g(0), g(g(1)), g(z2))) F(g(y0), g(g(g(g(y1)))), g(z2)) -> c2(F(g(y0), g(g(g(y1))), g(z2))) F(z0, g(g(g(y1))), g(g(y2))) -> c2(F(z0, g(g(y1)), g(g(y2)))) F(g(y0), g(g(g(y1))), g(g(y2))) -> c2(F(g(y0), g(g(y1)), g(g(y2)))) F(0, g(g(g(1))), g(z2)) -> c2(F(0, g(g(1)), g(z2))) F(g(g(y0)), g(g(g(g(y1)))), g(z2)) -> c2(F(g(g(y0)), g(g(g(y1))), g(z2))) F(g(g(0)), g(g(g(1))), g(z2)) -> c2(F(g(g(0)), g(g(1)), g(z2))) F(g(g(y0)), g(g(g(y1))), g(g(y2))) -> c2(F(g(g(y0)), g(g(y1)), g(g(y2)))) F(g(g(g(y0))), g(g(g(g(y1)))), g(z2)) -> c2(F(g(g(g(y0))), g(g(g(y1))), g(z2))) F(g(g(g(0))), g(g(g(1))), g(z2)) -> c2(F(g(g(g(0))), g(g(1)), g(z2))) F(g(g(g(y0))), g(g(g(y1))), g(g(y2))) -> c2(F(g(g(g(y0))), g(g(y1)), g(g(y2)))) F(g(g(g(g(g(y0))))), g(g(g(y1))), g(z2)) -> c2(F(g(g(g(g(g(y0))))), g(g(y1)), g(z2))) F(g(g(g(g(y0)))), g(g(g(g(y1)))), g(z2)) -> c2(F(g(g(g(g(y0)))), g(g(g(y1))), g(z2))) F(g(g(g(g(0)))), g(g(g(1))), g(z2)) -> c2(F(g(g(g(g(0)))), g(g(1)), g(z2))) F(g(g(g(g(y0)))), g(g(g(y1))), g(g(y2))) -> c2(F(g(g(g(g(y0)))), g(g(y1)), g(g(y2)))) F(0, g(g(g(1))), g(g(y0))) -> c2(F(0, g(g(1)), g(g(y0)))) F(0, g(g(g(1))), g(g(g(y0)))) -> c2(F(0, g(g(1)), g(g(g(y0))))) F(g(g(0)), g(1), z2) -> c2(F(g(g(0)), 1, z2)) F(g(g(g(y0))), g(z1), z2) -> c2(F(g(g(g(y0))), z1, z2)) F(g(g(z0)), g(g(g(g(y1)))), z2) -> c2(F(g(g(z0)), g(g(g(y1))), z2)) F(g(g(0)), g(g(g(1))), z2) -> c2(F(g(g(0)), g(g(1)), z2)) F(g(g(g(g(y0)))), g(g(g(y1))), z2) -> c2(F(g(g(g(g(y0)))), g(g(y1)), z2)) F(g(g(g(y0))), g(g(g(g(y1)))), z2) -> c2(F(g(g(g(y0))), g(g(g(y1))), z2)) F(g(g(g(0))), g(g(g(1))), z2) -> c2(F(g(g(g(0))), g(g(1)), z2)) F(g(g(0)), g(g(1)), g(g(y0))) -> c2(F(g(g(0)), g(1), g(g(y0)))) F(g(g(0)), g(g(1)), g(g(g(y0)))) -> c2(F(g(g(0)), g(1), g(g(g(y0))))) F(g(g(z0)), g(g(g(g(g(y1))))), g(y2)) -> c2(F(g(g(z0)), g(g(g(g(y1)))), g(y2))) F(g(g(z0)), g(g(g(g(y1)))), g(g(y2))) -> c2(F(g(g(z0)), g(g(g(y1))), g(g(y2)))) F(g(g(0)), g(g(g(g(1)))), g(y0)) -> c2(F(g(g(0)), g(g(g(1))), g(y0))) F(g(g(g(y0))), g(g(g(g(g(y1))))), g(y2)) -> c2(F(g(g(g(y0))), g(g(g(g(y1)))), g(y2))) F(g(g(g(0))), g(g(g(g(1)))), g(y0)) -> c2(F(g(g(g(0))), g(g(g(1))), g(y0))) F(g(g(g(y0))), g(g(g(g(y1)))), g(g(y2))) -> c2(F(g(g(g(y0))), g(g(g(y1))), g(g(y2)))) F(g(g(g(g(g(y0))))), g(g(g(g(y1)))), g(y2)) -> c2(F(g(g(g(g(g(y0))))), g(g(g(y1))), g(y2))) F(g(g(g(g(y0)))), g(g(g(g(g(y1))))), g(y2)) -> c2(F(g(g(g(g(y0)))), g(g(g(g(y1)))), g(y2))) F(g(g(g(g(0)))), g(g(g(g(1)))), g(y0)) -> c2(F(g(g(g(g(0)))), g(g(g(1))), g(y0))) F(g(g(g(g(y0)))), g(g(g(g(y1)))), g(g(y2))) -> c2(F(g(g(g(g(y0)))), g(g(g(y1))), g(g(y2)))) S tuples: F(g(y0), g(g(y1)), z2) -> c2(F(g(y0), g(y1), z2)) F(g(y0), g(z1), g(y2)) -> c2(F(g(y0), z1, g(y2))) F(g(g(0)), 1, z2) -> c1(F(g(0), 1, z2)) F(g(g(g(y0))), z1, z2) -> c1(F(g(g(y0)), z1, z2)) F(g(g(z0)), g(y1), z2) -> c1(F(g(z0), g(y1), z2)) F(g(g(z0)), z1, g(y2)) -> c1(F(g(z0), z1, g(y2))) F(g(g(z0)), g(g(y1)), z2) -> c1(F(g(z0), g(g(y1)), z2)) F(g(g(z0)), g(y1), g(y2)) -> c1(F(g(z0), g(y1), g(y2))) F(g(g(0)), g(1), z2) -> c1(F(g(0), g(1), z2)) F(g(g(g(y0))), g(y1), z2) -> c1(F(g(g(y0)), g(y1), z2)) F(g(g(z0)), z1, g(g(y2))) -> c1(F(g(z0), z1, g(g(y2)))) F(g(g(0)), 1, g(y0)) -> c1(F(g(0), 1, g(y0))) F(g(g(g(y0))), z1, g(y2)) -> c1(F(g(g(y0)), z1, g(y2))) F(g(g(z0)), g(g(y1)), g(y2)) -> c1(F(g(z0), g(g(y1)), g(y2))) F(g(g(z0)), g(y1), g(g(y2))) -> c1(F(g(z0), g(y1), g(g(y2)))) F(g(g(0)), g(1), g(y0)) -> c1(F(g(0), g(1), g(y0))) F(g(g(g(y0))), g(y1), g(y2)) -> c1(F(g(g(y0)), g(y1), g(y2))) F(g(0), g(1), z2) -> c1(F(0, g(1), z2)) F(g(z0), g(g(y1)), z2) -> c1(F(z0, g(g(y1)), z2)) F(g(z0), g(z1), g(y2)) -> c1(F(z0, g(z1), g(y2))) F(g(z0), g(z1), g(g(y2))) -> c1(F(z0, g(z1), g(g(y2)))) F(g(0), g(1), g(y0)) -> c1(F(0, g(1), g(y0))) F(g(z0), g(g(y1)), g(y2)) -> c1(F(z0, g(g(y1)), g(y2))) F(g(g(g(g(y0)))), g(z1), z2) -> c1(F(g(g(g(y0))), g(z1), z2)) F(g(g(g(y0))), g(g(y1)), z2) -> c1(F(g(g(y0)), g(g(y1)), z2)) F(g(g(g(0))), g(1), z2) -> c1(F(g(g(0)), g(1), z2)) F(g(g(g(y0))), g(z1), g(g(y2))) -> c1(F(g(g(y0)), g(z1), g(g(y2)))) F(g(g(g(g(y0)))), g(z1), g(y2)) -> c1(F(g(g(g(y0))), g(z1), g(y2))) F(g(g(g(y0))), g(g(y1)), g(y2)) -> c1(F(g(g(y0)), g(g(y1)), g(y2))) F(g(g(g(0))), g(1), g(y0)) -> c1(F(g(g(0)), g(1), g(y0))) F(0, 1, g(y2)) -> c(F(g(g(y2)), g(g(y2)), g(y2))) F(0, 1, g(g(y2))) -> c(F(g(g(g(y2))), g(g(g(y2))), g(g(y2)))) F(0, 1, g(g(g(y0)))) -> c(F(g(g(g(g(y0)))), g(g(g(g(y0)))), g(g(g(y0))))) F(g(0), 1, g(y0)) -> c1(F(0, 1, g(y0))) F(g(0), 1, g(g(y2))) -> c1(F(0, 1, g(g(y2)))) F(g(0), 1, g(g(g(y0)))) -> c1(F(0, 1, g(g(g(y0))))) F(g(z0), z1, g(g(y2))) -> c1(F(z0, z1, g(g(y2)))) F(g(g(g(0))), 1, g(z2)) -> c1(F(g(g(0)), 1, g(z2))) F(g(g(g(g(y0)))), z1, g(z2)) -> c1(F(g(g(g(y0))), z1, g(z2))) F(g(g(g(y0))), z1, g(g(y2))) -> c1(F(g(g(y0)), z1, g(g(y2)))) F(g(g(g(g(g(y0))))), g(y1), g(z2)) -> c1(F(g(g(g(g(y0)))), g(y1), g(z2))) F(g(g(g(g(y0)))), g(g(y1)), g(z2)) -> c1(F(g(g(g(y0))), g(g(y1)), g(z2))) F(g(g(g(g(0)))), g(1), g(z2)) -> c1(F(g(g(g(0))), g(1), g(z2))) F(g(g(g(g(y0)))), g(y1), g(g(y2))) -> c1(F(g(g(g(y0))), g(y1), g(g(y2)))) F(g(g(0)), 1, g(g(y0))) -> c1(F(g(0), 1, g(g(y0)))) F(g(g(0)), 1, g(g(g(y0)))) -> c1(F(g(0), 1, g(g(g(y0))))) F(0, g(1), g(y0)) -> c2(F(0, 1, g(y0))) F(0, g(1), g(g(y2))) -> c2(F(0, 1, g(g(y2)))) F(0, g(1), g(g(g(y0)))) -> c2(F(0, 1, g(g(g(y0))))) F(z0, g(g(g(y1))), z2) -> c2(F(z0, g(g(y1)), z2)) F(z0, g(g(z1)), g(y2)) -> c2(F(z0, g(z1), g(y2))) F(g(0), g(g(1)), z2) -> c2(F(g(0), g(1), z2)) F(g(g(y0)), g(g(z1)), z2) -> c2(F(g(g(y0)), g(z1), z2)) F(g(y0), g(g(g(y1))), z2) -> c2(F(g(y0), g(g(y1)), z2)) F(g(y0), g(g(z1)), g(y2)) -> c2(F(g(y0), g(z1), g(y2))) F(z0, g(g(z1)), g(g(y2))) -> c2(F(z0, g(z1), g(g(y2)))) F(g(g(y0)), g(g(z1)), g(y2)) -> c2(F(g(g(y0)), g(z1), g(y2))) F(g(y0), g(g(z1)), g(g(y2))) -> c2(F(g(y0), g(z1), g(g(y2)))) F(0, g(g(1)), g(y0)) -> c2(F(0, g(1), g(y0))) F(z0, g(g(g(y1))), g(y2)) -> c2(F(z0, g(g(y1)), g(y2))) F(g(0), g(g(1)), g(y0)) -> c2(F(g(0), g(1), g(y0))) F(g(y0), g(g(g(y1))), g(y2)) -> c2(F(g(y0), g(g(y1)), g(y2))) F(g(g(g(y0))), g(g(z1)), z2) -> c2(F(g(g(g(y0))), g(z1), z2)) F(g(g(y0)), g(g(g(y1))), z2) -> c2(F(g(g(y0)), g(g(y1)), z2)) F(g(g(0)), g(g(1)), z2) -> c2(F(g(g(0)), g(1), z2)) F(g(g(y0)), g(g(z1)), g(g(y2))) -> c2(F(g(g(y0)), g(z1), g(g(y2)))) F(g(g(g(y0))), g(g(z1)), g(y2)) -> c2(F(g(g(g(y0))), g(z1), g(y2))) F(g(g(y0)), g(g(g(y1))), g(y2)) -> c2(F(g(g(y0)), g(g(y1)), g(y2))) F(g(g(0)), g(g(1)), g(y0)) -> c2(F(g(g(0)), g(1), g(y0))) F(g(g(g(g(y0)))), g(g(z1)), z2) -> c2(F(g(g(g(g(y0)))), g(z1), z2)) F(g(g(g(y0))), g(g(g(y1))), z2) -> c2(F(g(g(g(y0))), g(g(y1)), z2)) F(g(g(g(0))), g(g(1)), z2) -> c2(F(g(g(g(0))), g(1), z2)) F(g(g(g(y0))), g(g(z1)), g(g(y2))) -> c2(F(g(g(g(y0))), g(z1), g(g(y2)))) F(g(g(g(g(y0)))), g(g(z1)), g(y2)) -> c2(F(g(g(g(g(y0)))), g(z1), g(y2))) F(g(g(g(y0))), g(g(g(y1))), g(y2)) -> c2(F(g(g(g(y0))), g(g(y1)), g(y2))) F(g(g(g(0))), g(g(1)), g(y0)) -> c2(F(g(g(g(0))), g(1), g(y0))) F(g(g(g(g(g(y0))))), g(g(z1)), g(y2)) -> c2(F(g(g(g(g(g(y0))))), g(z1), g(y2))) F(g(g(g(g(y0)))), g(g(g(y1))), g(y2)) -> c2(F(g(g(g(g(y0)))), g(g(y1)), g(y2))) F(g(g(g(g(0)))), g(g(1)), g(y0)) -> c2(F(g(g(g(g(0)))), g(1), g(y0))) F(g(g(g(g(y0)))), g(g(z1)), g(g(y2))) -> c2(F(g(g(g(g(y0)))), g(z1), g(g(y2)))) F(0, g(g(1)), g(g(y0))) -> c2(F(0, g(1), g(g(y0)))) F(0, g(g(1)), g(g(g(y0)))) -> c2(F(0, g(1), g(g(g(y0))))) F(z0, g(z1), g(g(y2))) -> c2(F(z0, z1, g(g(y2)))) F(g(0), g(1), g(z2)) -> c2(F(g(0), 1, g(z2))) F(g(g(y0)), g(z1), g(z2)) -> c2(F(g(g(y0)), z1, g(z2))) F(g(y0), g(z1), g(g(y2))) -> c2(F(g(y0), z1, g(g(y2)))) F(g(g(0)), g(1), g(z2)) -> c2(F(g(g(0)), 1, g(z2))) F(g(g(g(y0))), g(z1), g(z2)) -> c2(F(g(g(g(y0))), z1, g(z2))) F(g(g(y0)), g(z1), g(g(y2))) -> c2(F(g(g(y0)), z1, g(g(y2)))) F(g(0), g(1), g(g(y0))) -> c2(F(g(0), 1, g(g(y0)))) F(g(0), g(1), g(g(g(y0)))) -> c2(F(g(0), 1, g(g(g(y0))))) F(g(g(g(0))), g(1), g(z2)) -> c2(F(g(g(g(0))), 1, g(z2))) F(g(g(g(g(y0)))), g(z1), g(z2)) -> c2(F(g(g(g(g(y0)))), z1, g(z2))) F(g(g(g(y0))), g(z1), g(g(y2))) -> c2(F(g(g(g(y0))), z1, g(g(y2)))) F(g(g(0)), g(1), g(g(y0))) -> c2(F(g(g(0)), 1, g(g(y0)))) F(g(g(0)), g(1), g(g(g(y0)))) -> c2(F(g(g(0)), 1, g(g(g(y0))))) F(z0, g(g(g(g(y1)))), g(z2)) -> c2(F(z0, g(g(g(y1))), g(z2))) F(g(0), g(g(g(1))), g(z2)) -> c2(F(g(0), g(g(1)), g(z2))) F(g(y0), g(g(g(g(y1)))), g(z2)) -> c2(F(g(y0), g(g(g(y1))), g(z2))) F(z0, g(g(g(y1))), g(g(y2))) -> c2(F(z0, g(g(y1)), g(g(y2)))) F(g(y0), g(g(g(y1))), g(g(y2))) -> c2(F(g(y0), g(g(y1)), g(g(y2)))) F(0, g(g(g(1))), g(z2)) -> c2(F(0, g(g(1)), g(z2))) F(g(g(y0)), g(g(g(g(y1)))), g(z2)) -> c2(F(g(g(y0)), g(g(g(y1))), g(z2))) F(g(g(0)), g(g(g(1))), g(z2)) -> c2(F(g(g(0)), g(g(1)), g(z2))) F(g(g(y0)), g(g(g(y1))), g(g(y2))) -> c2(F(g(g(y0)), g(g(y1)), g(g(y2)))) F(g(g(g(y0))), g(g(g(g(y1)))), g(z2)) -> c2(F(g(g(g(y0))), g(g(g(y1))), g(z2))) F(g(g(g(0))), g(g(g(1))), g(z2)) -> c2(F(g(g(g(0))), g(g(1)), g(z2))) F(g(g(g(y0))), g(g(g(y1))), g(g(y2))) -> c2(F(g(g(g(y0))), g(g(y1)), g(g(y2)))) F(g(g(g(g(g(y0))))), g(g(g(y1))), g(z2)) -> c2(F(g(g(g(g(g(y0))))), g(g(y1)), g(z2))) F(g(g(g(g(y0)))), g(g(g(g(y1)))), g(z2)) -> c2(F(g(g(g(g(y0)))), g(g(g(y1))), g(z2))) F(g(g(g(g(0)))), g(g(g(1))), g(z2)) -> c2(F(g(g(g(g(0)))), g(g(1)), g(z2))) F(g(g(g(g(y0)))), g(g(g(y1))), g(g(y2))) -> c2(F(g(g(g(g(y0)))), g(g(y1)), g(g(y2)))) F(0, g(g(g(1))), g(g(y0))) -> c2(F(0, g(g(1)), g(g(y0)))) F(0, g(g(g(1))), g(g(g(y0)))) -> c2(F(0, g(g(1)), g(g(g(y0))))) F(g(g(0)), g(1), z2) -> c2(F(g(g(0)), 1, z2)) F(g(g(g(y0))), g(z1), z2) -> c2(F(g(g(g(y0))), z1, z2)) F(g(g(z0)), g(g(g(g(y1)))), z2) -> c2(F(g(g(z0)), g(g(g(y1))), z2)) F(g(g(0)), g(g(g(1))), z2) -> c2(F(g(g(0)), g(g(1)), z2)) F(g(g(g(g(y0)))), g(g(g(y1))), z2) -> c2(F(g(g(g(g(y0)))), g(g(y1)), z2)) F(g(g(g(y0))), g(g(g(g(y1)))), z2) -> c2(F(g(g(g(y0))), g(g(g(y1))), z2)) F(g(g(g(0))), g(g(g(1))), z2) -> c2(F(g(g(g(0))), g(g(1)), z2)) F(g(g(0)), g(g(1)), g(g(y0))) -> c2(F(g(g(0)), g(1), g(g(y0)))) F(g(g(0)), g(g(1)), g(g(g(y0)))) -> c2(F(g(g(0)), g(1), g(g(g(y0))))) F(g(g(z0)), g(g(g(g(g(y1))))), g(y2)) -> c2(F(g(g(z0)), g(g(g(g(y1)))), g(y2))) F(g(g(z0)), g(g(g(g(y1)))), g(g(y2))) -> c2(F(g(g(z0)), g(g(g(y1))), g(g(y2)))) F(g(g(0)), g(g(g(g(1)))), g(y0)) -> c2(F(g(g(0)), g(g(g(1))), g(y0))) F(g(g(g(y0))), g(g(g(g(g(y1))))), g(y2)) -> c2(F(g(g(g(y0))), g(g(g(g(y1)))), g(y2))) F(g(g(g(0))), g(g(g(g(1)))), g(y0)) -> c2(F(g(g(g(0))), g(g(g(1))), g(y0))) F(g(g(g(y0))), g(g(g(g(y1)))), g(g(y2))) -> c2(F(g(g(g(y0))), g(g(g(y1))), g(g(y2)))) F(g(g(g(g(g(y0))))), g(g(g(g(y1)))), g(y2)) -> c2(F(g(g(g(g(g(y0))))), g(g(g(y1))), g(y2))) F(g(g(g(g(y0)))), g(g(g(g(g(y1))))), g(y2)) -> c2(F(g(g(g(g(y0)))), g(g(g(g(y1)))), g(y2))) F(g(g(g(g(0)))), g(g(g(g(1)))), g(y0)) -> c2(F(g(g(g(g(0)))), g(g(g(1))), g(y0))) F(g(g(g(g(y0)))), g(g(g(g(y1)))), g(g(y2))) -> c2(F(g(g(g(g(y0)))), g(g(g(y1))), g(g(y2)))) K tuples: F(0, 1, g(z2)) -> c3(F(0, 1, z2)) F(z0, z1, g(g(y2))) -> c3(F(z0, z1, g(y2))) F(g(0), 1, g(z2)) -> c3(F(g(0), 1, z2)) F(g(g(y0)), z1, g(z2)) -> c3(F(g(g(y0)), z1, z2)) F(g(y0), g(y1), g(z2)) -> c3(F(g(y0), g(y1), z2)) F(g(y0), z1, g(g(y2))) -> c3(F(g(y0), z1, g(y2))) F(0, g(1), g(z2)) -> c3(F(0, g(1), z2)) F(z0, g(g(y1)), g(z2)) -> c3(F(z0, g(g(y1)), z2)) F(z0, g(y1), g(g(y2))) -> c3(F(z0, g(y1), g(y2))) F(g(0), g(1), g(z2)) -> c3(F(g(0), g(1), z2)) F(g(g(y0)), g(y1), g(z2)) -> c3(F(g(g(y0)), g(y1), z2)) F(g(y0), g(g(y1)), g(z2)) -> c3(F(g(y0), g(g(y1)), z2)) F(g(y0), g(y1), g(g(y2))) -> c3(F(g(y0), g(y1), g(y2))) Defined Rule Symbols:none Defined Pair Symbols: F_3 Compound Symbols: c2_1, c3_1, c1_1, c_1 ---------------------------------------- (61) CdtForwardInstantiationProof (BOTH BOUNDS(ID, ID)) Use forward instantiation to replace F(g(y0), g(g(y1)), z2) -> c2(F(g(y0), g(y1), z2)) by F(g(z0), g(g(g(y1))), z2) -> c2(F(g(z0), g(g(y1)), z2)) F(g(z0), g(g(z1)), g(y2)) -> c2(F(g(z0), g(z1), g(y2))) F(g(z0), g(g(z1)), g(g(y2))) -> c2(F(g(z0), g(z1), g(g(y2)))) F(g(g(y0)), g(g(z1)), g(y2)) -> c2(F(g(g(y0)), g(z1), g(y2))) F(g(z0), g(g(g(y1))), g(y2)) -> c2(F(g(z0), g(g(y1)), g(y2))) F(g(0), g(g(1)), g(y0)) -> c2(F(g(0), g(1), g(y0))) F(g(g(g(y0))), g(g(z1)), z2) -> c2(F(g(g(g(y0))), g(z1), z2)) F(g(g(y0)), g(g(z1)), z2) -> c2(F(g(g(y0)), g(z1), z2)) F(g(g(y0)), g(g(g(y1))), z2) -> c2(F(g(g(y0)), g(g(y1)), z2)) F(g(g(0)), g(g(1)), z2) -> c2(F(g(g(0)), g(1), z2)) F(g(g(y0)), g(g(z1)), g(g(y2))) -> c2(F(g(g(y0)), g(z1), g(g(y2)))) F(g(g(g(y0))), g(g(z1)), g(y2)) -> c2(F(g(g(g(y0))), g(z1), g(y2))) F(g(g(y0)), g(g(g(y1))), g(y2)) -> c2(F(g(g(y0)), g(g(y1)), g(y2))) F(g(g(0)), g(g(1)), g(y0)) -> c2(F(g(g(0)), g(1), g(y0))) F(g(0), g(g(1)), z2) -> c2(F(g(0), g(1), z2)) F(g(g(g(g(y0)))), g(g(z1)), z2) -> c2(F(g(g(g(g(y0)))), g(z1), z2)) F(g(g(g(y0))), g(g(g(y1))), z2) -> c2(F(g(g(g(y0))), g(g(y1)), z2)) F(g(g(g(0))), g(g(1)), z2) -> c2(F(g(g(g(0))), g(1), z2)) F(g(g(g(y0))), g(g(z1)), g(g(y2))) -> c2(F(g(g(g(y0))), g(z1), g(g(y2)))) F(g(g(g(g(y0)))), g(g(z1)), g(y2)) -> c2(F(g(g(g(g(y0)))), g(z1), g(y2))) F(g(g(g(y0))), g(g(g(y1))), g(y2)) -> c2(F(g(g(g(y0))), g(g(y1)), g(y2))) F(g(g(g(0))), g(g(1)), g(y0)) -> c2(F(g(g(g(0))), g(1), g(y0))) F(g(g(g(g(g(y0))))), g(g(z1)), g(y2)) -> c2(F(g(g(g(g(g(y0))))), g(z1), g(y2))) F(g(g(g(g(y0)))), g(g(g(y1))), g(y2)) -> c2(F(g(g(g(g(y0)))), g(g(y1)), g(y2))) F(g(g(g(g(0)))), g(g(1)), g(y0)) -> c2(F(g(g(g(g(0)))), g(1), g(y0))) F(g(g(g(g(y0)))), g(g(z1)), g(g(y2))) -> c2(F(g(g(g(g(y0)))), g(z1), g(g(y2)))) F(g(z0), g(g(g(g(y1)))), z2) -> c2(F(g(z0), g(g(g(y1))), z2)) F(g(0), g(g(g(1))), z2) -> c2(F(g(0), g(g(1)), z2)) F(g(z0), g(g(g(y1))), g(g(y2))) -> c2(F(g(z0), g(g(y1)), g(g(y2)))) F(g(z0), g(g(g(g(y1)))), g(y2)) -> c2(F(g(z0), g(g(g(y1))), g(y2))) F(g(0), g(g(g(1))), g(y0)) -> c2(F(g(0), g(g(1)), g(y0))) F(g(g(y0)), g(g(g(g(y1)))), z2) -> c2(F(g(g(y0)), g(g(g(y1))), z2)) F(g(g(0)), g(g(g(1))), z2) -> c2(F(g(g(0)), g(g(1)), z2)) F(g(g(y0)), g(g(g(y1))), g(g(y2))) -> c2(F(g(g(y0)), g(g(y1)), g(g(y2)))) F(g(g(y0)), g(g(g(g(y1)))), g(y2)) -> c2(F(g(g(y0)), g(g(g(y1))), g(y2))) F(g(g(0)), g(g(g(1))), g(y0)) -> c2(F(g(g(0)), g(g(1)), g(y0))) F(g(g(g(g(y0)))), g(g(g(y1))), z2) -> c2(F(g(g(g(g(y0)))), g(g(y1)), z2)) F(g(g(g(y0))), g(g(g(g(y1)))), z2) -> c2(F(g(g(g(y0))), g(g(g(y1))), z2)) F(g(g(g(0))), g(g(g(1))), z2) -> c2(F(g(g(g(0))), g(g(1)), z2)) F(g(g(g(y0))), g(g(g(y1))), g(g(y2))) -> c2(F(g(g(g(y0))), g(g(y1)), g(g(y2)))) F(g(g(g(y0))), g(g(g(g(y1)))), g(y2)) -> c2(F(g(g(g(y0))), g(g(g(y1))), g(y2))) F(g(g(g(0))), g(g(g(1))), g(y0)) -> c2(F(g(g(g(0))), g(g(1)), g(y0))) F(g(g(g(g(g(y0))))), g(g(g(y1))), g(y2)) -> c2(F(g(g(g(g(g(y0))))), g(g(y1)), g(y2))) F(g(g(g(g(y0)))), g(g(g(g(y1)))), g(y2)) -> c2(F(g(g(g(g(y0)))), g(g(g(y1))), g(y2))) F(g(g(g(g(0)))), g(g(g(1))), g(y0)) -> c2(F(g(g(g(g(0)))), g(g(1)), g(y0))) F(g(g(g(g(y0)))), g(g(g(y1))), g(g(y2))) -> c2(F(g(g(g(g(y0)))), g(g(y1)), g(g(y2)))) F(g(0), g(g(1)), g(g(y0))) -> c2(F(g(0), g(1), g(g(y0)))) F(g(0), g(g(1)), g(g(g(y0)))) -> c2(F(g(0), g(1), g(g(g(y0))))) F(g(g(0)), g(g(1)), g(g(y0))) -> c2(F(g(g(0)), g(1), g(g(y0)))) F(g(g(0)), g(g(1)), g(g(g(y0)))) -> c2(F(g(g(0)), g(1), g(g(g(y0))))) F(g(z0), g(g(g(g(g(y1))))), g(y2)) -> c2(F(g(z0), g(g(g(g(y1)))), g(y2))) F(g(0), g(g(g(g(1)))), g(y0)) -> c2(F(g(0), g(g(g(1))), g(y0))) F(g(z0), g(g(g(g(y1)))), g(g(y2))) -> c2(F(g(z0), g(g(g(y1))), g(g(y2)))) F(g(g(y0)), g(g(g(g(g(y1))))), g(y2)) -> c2(F(g(g(y0)), g(g(g(g(y1)))), g(y2))) F(g(g(0)), g(g(g(g(1)))), g(y0)) -> c2(F(g(g(0)), g(g(g(1))), g(y0))) F(g(g(y0)), g(g(g(g(y1)))), g(g(y2))) -> c2(F(g(g(y0)), g(g(g(y1))), g(g(y2)))) F(g(g(g(y0))), g(g(g(g(g(y1))))), g(y2)) -> c2(F(g(g(g(y0))), g(g(g(g(y1)))), g(y2))) F(g(g(g(0))), g(g(g(g(1)))), g(y0)) -> c2(F(g(g(g(0))), g(g(g(1))), g(y0))) F(g(g(g(y0))), g(g(g(g(y1)))), g(g(y2))) -> c2(F(g(g(g(y0))), g(g(g(y1))), g(g(y2)))) F(g(g(g(g(g(y0))))), g(g(g(g(y1)))), g(y2)) -> c2(F(g(g(g(g(g(y0))))), g(g(g(y1))), g(y2))) F(g(g(g(g(y0)))), g(g(g(g(g(y1))))), g(y2)) -> c2(F(g(g(g(g(y0)))), g(g(g(g(y1)))), g(y2))) F(g(g(g(g(0)))), g(g(g(g(1)))), g(y0)) -> c2(F(g(g(g(g(0)))), g(g(g(1))), g(y0))) F(g(g(g(g(y0)))), g(g(g(g(y1)))), g(g(y2))) -> c2(F(g(g(g(g(y0)))), g(g(g(y1))), g(g(y2)))) F(g(g(y0)), g(g(g(g(g(y1))))), z2) -> c2(F(g(g(y0)), g(g(g(g(y1)))), z2)) F(g(g(0)), g(g(g(g(1)))), z2) -> c2(F(g(g(0)), g(g(g(1))), z2)) F(g(g(g(g(y0)))), g(g(g(g(y1)))), z2) -> c2(F(g(g(g(g(y0)))), g(g(g(y1))), z2)) F(g(g(g(y0))), g(g(g(g(g(y1))))), z2) -> c2(F(g(g(g(y0))), g(g(g(g(y1)))), z2)) F(g(g(g(0))), g(g(g(g(1)))), z2) -> c2(F(g(g(g(0))), g(g(g(1))), z2)) F(g(g(0)), g(g(g(1))), g(g(y0))) -> c2(F(g(g(0)), g(g(1)), g(g(y0)))) F(g(g(0)), g(g(g(1))), g(g(g(y0)))) -> c2(F(g(g(0)), g(g(1)), g(g(g(y0))))) F(g(g(y0)), g(g(g(g(g(g(y1)))))), g(y2)) -> c2(F(g(g(y0)), g(g(g(g(g(y1))))), g(y2))) F(g(g(y0)), g(g(g(g(g(y1))))), g(g(y2))) -> c2(F(g(g(y0)), g(g(g(g(y1)))), g(g(y2)))) F(g(g(0)), g(g(g(g(g(1))))), g(y0)) -> c2(F(g(g(0)), g(g(g(g(1)))), g(y0))) F(g(g(g(y0))), g(g(g(g(g(g(y1)))))), g(y2)) -> c2(F(g(g(g(y0))), g(g(g(g(g(y1))))), g(y2))) F(g(g(g(0))), g(g(g(g(g(1))))), g(y0)) -> c2(F(g(g(g(0))), g(g(g(g(1)))), g(y0))) F(g(g(g(y0))), g(g(g(g(g(y1))))), g(g(y2))) -> c2(F(g(g(g(y0))), g(g(g(g(y1)))), g(g(y2)))) F(g(g(g(g(g(y0))))), g(g(g(g(g(y1))))), g(y2)) -> c2(F(g(g(g(g(g(y0))))), g(g(g(g(y1)))), g(y2))) F(g(g(g(g(y0)))), g(g(g(g(g(g(y1)))))), g(y2)) -> c2(F(g(g(g(g(y0)))), g(g(g(g(g(y1))))), g(y2))) F(g(g(g(g(0)))), g(g(g(g(g(1))))), g(y0)) -> c2(F(g(g(g(g(0)))), g(g(g(g(1)))), g(y0))) F(g(g(g(g(y0)))), g(g(g(g(g(y1))))), g(g(y2))) -> c2(F(g(g(g(g(y0)))), g(g(g(g(y1)))), g(g(y2)))) ---------------------------------------- (62) Obligation: Complexity Dependency Tuples Problem Rules:none Tuples: F(g(y0), g(z1), g(y2)) -> c2(F(g(y0), z1, g(y2))) F(0, 1, g(z2)) -> c3(F(0, 1, z2)) F(z0, z1, g(g(y2))) -> c3(F(z0, z1, g(y2))) F(g(0), 1, g(z2)) -> c3(F(g(0), 1, z2)) F(g(g(y0)), z1, g(z2)) -> c3(F(g(g(y0)), z1, z2)) F(g(y0), g(y1), g(z2)) -> c3(F(g(y0), g(y1), z2)) F(g(y0), z1, g(g(y2))) -> c3(F(g(y0), z1, g(y2))) F(0, g(1), g(z2)) -> c3(F(0, g(1), z2)) F(z0, g(g(y1)), g(z2)) -> c3(F(z0, g(g(y1)), z2)) F(z0, g(y1), g(g(y2))) -> c3(F(z0, g(y1), g(y2))) F(g(0), g(1), g(z2)) -> c3(F(g(0), g(1), z2)) F(g(g(y0)), g(y1), g(z2)) -> c3(F(g(g(y0)), g(y1), z2)) F(g(y0), g(g(y1)), g(z2)) -> c3(F(g(y0), g(g(y1)), z2)) F(g(y0), g(y1), g(g(y2))) -> c3(F(g(y0), g(y1), g(y2))) F(g(g(0)), 1, z2) -> c1(F(g(0), 1, z2)) F(g(g(g(y0))), z1, z2) -> c1(F(g(g(y0)), z1, z2)) F(g(g(z0)), g(y1), z2) -> c1(F(g(z0), g(y1), z2)) F(g(g(z0)), z1, g(y2)) -> c1(F(g(z0), z1, g(y2))) F(g(g(z0)), g(g(y1)), z2) -> c1(F(g(z0), g(g(y1)), z2)) F(g(g(z0)), g(y1), g(y2)) -> c1(F(g(z0), g(y1), g(y2))) F(g(g(0)), g(1), z2) -> c1(F(g(0), g(1), z2)) F(g(g(g(y0))), g(y1), z2) -> c1(F(g(g(y0)), g(y1), z2)) F(g(g(z0)), z1, g(g(y2))) -> c1(F(g(z0), z1, g(g(y2)))) F(g(g(0)), 1, g(y0)) -> c1(F(g(0), 1, g(y0))) F(g(g(g(y0))), z1, g(y2)) -> c1(F(g(g(y0)), z1, g(y2))) F(g(g(z0)), g(g(y1)), g(y2)) -> c1(F(g(z0), g(g(y1)), g(y2))) F(g(g(z0)), g(y1), g(g(y2))) -> c1(F(g(z0), g(y1), g(g(y2)))) F(g(g(0)), g(1), g(y0)) -> c1(F(g(0), g(1), g(y0))) F(g(g(g(y0))), g(y1), g(y2)) -> c1(F(g(g(y0)), g(y1), g(y2))) F(g(0), g(1), z2) -> c1(F(0, g(1), z2)) F(g(z0), g(g(y1)), z2) -> c1(F(z0, g(g(y1)), z2)) F(g(z0), g(z1), g(y2)) -> c1(F(z0, g(z1), g(y2))) F(g(z0), g(z1), g(g(y2))) -> c1(F(z0, g(z1), g(g(y2)))) F(g(0), g(1), g(y0)) -> c1(F(0, g(1), g(y0))) F(g(z0), g(g(y1)), g(y2)) -> c1(F(z0, g(g(y1)), g(y2))) F(g(g(g(g(y0)))), g(z1), z2) -> c1(F(g(g(g(y0))), g(z1), z2)) F(g(g(g(y0))), g(g(y1)), z2) -> c1(F(g(g(y0)), g(g(y1)), z2)) F(g(g(g(0))), g(1), z2) -> c1(F(g(g(0)), g(1), z2)) F(g(g(g(y0))), g(z1), g(g(y2))) -> c1(F(g(g(y0)), g(z1), g(g(y2)))) F(g(g(g(g(y0)))), g(z1), g(y2)) -> c1(F(g(g(g(y0))), g(z1), g(y2))) F(g(g(g(y0))), g(g(y1)), g(y2)) -> c1(F(g(g(y0)), g(g(y1)), g(y2))) F(g(g(g(0))), g(1), g(y0)) -> c1(F(g(g(0)), g(1), g(y0))) F(0, 1, g(y2)) -> c(F(g(g(y2)), g(g(y2)), g(y2))) F(0, 1, g(g(y2))) -> c(F(g(g(g(y2))), g(g(g(y2))), g(g(y2)))) F(0, 1, g(g(g(y0)))) -> c(F(g(g(g(g(y0)))), g(g(g(g(y0)))), g(g(g(y0))))) F(g(0), 1, g(y0)) -> c1(F(0, 1, g(y0))) F(g(0), 1, g(g(y2))) -> c1(F(0, 1, g(g(y2)))) F(g(0), 1, g(g(g(y0)))) -> c1(F(0, 1, g(g(g(y0))))) F(g(z0), z1, g(g(y2))) -> c1(F(z0, z1, g(g(y2)))) F(g(g(g(0))), 1, g(z2)) -> c1(F(g(g(0)), 1, g(z2))) F(g(g(g(g(y0)))), z1, g(z2)) -> c1(F(g(g(g(y0))), z1, g(z2))) F(g(g(g(y0))), z1, g(g(y2))) -> c1(F(g(g(y0)), z1, g(g(y2)))) F(g(g(g(g(g(y0))))), g(y1), g(z2)) -> c1(F(g(g(g(g(y0)))), g(y1), g(z2))) F(g(g(g(g(y0)))), g(g(y1)), g(z2)) -> c1(F(g(g(g(y0))), g(g(y1)), g(z2))) F(g(g(g(g(0)))), g(1), g(z2)) -> c1(F(g(g(g(0))), g(1), g(z2))) F(g(g(g(g(y0)))), g(y1), g(g(y2))) -> c1(F(g(g(g(y0))), g(y1), g(g(y2)))) F(g(g(0)), 1, g(g(y0))) -> c1(F(g(0), 1, g(g(y0)))) F(g(g(0)), 1, g(g(g(y0)))) -> c1(F(g(0), 1, g(g(g(y0))))) F(0, g(1), g(y0)) -> c2(F(0, 1, g(y0))) F(0, g(1), g(g(y2))) -> c2(F(0, 1, g(g(y2)))) F(0, g(1), g(g(g(y0)))) -> c2(F(0, 1, g(g(g(y0))))) F(z0, g(g(g(y1))), z2) -> c2(F(z0, g(g(y1)), z2)) F(z0, g(g(z1)), g(y2)) -> c2(F(z0, g(z1), g(y2))) F(g(0), g(g(1)), z2) -> c2(F(g(0), g(1), z2)) F(g(g(y0)), g(g(z1)), z2) -> c2(F(g(g(y0)), g(z1), z2)) F(g(y0), g(g(g(y1))), z2) -> c2(F(g(y0), g(g(y1)), z2)) F(g(y0), g(g(z1)), g(y2)) -> c2(F(g(y0), g(z1), g(y2))) F(z0, g(g(z1)), g(g(y2))) -> c2(F(z0, g(z1), g(g(y2)))) F(g(g(y0)), g(g(z1)), g(y2)) -> c2(F(g(g(y0)), g(z1), g(y2))) F(g(y0), g(g(z1)), g(g(y2))) -> c2(F(g(y0), g(z1), g(g(y2)))) F(0, g(g(1)), g(y0)) -> c2(F(0, g(1), g(y0))) F(z0, g(g(g(y1))), g(y2)) -> c2(F(z0, g(g(y1)), g(y2))) F(g(0), g(g(1)), g(y0)) -> c2(F(g(0), g(1), g(y0))) F(g(y0), g(g(g(y1))), g(y2)) -> c2(F(g(y0), g(g(y1)), g(y2))) F(g(g(g(y0))), g(g(z1)), z2) -> c2(F(g(g(g(y0))), g(z1), z2)) F(g(g(y0)), g(g(g(y1))), z2) -> c2(F(g(g(y0)), g(g(y1)), z2)) F(g(g(0)), g(g(1)), z2) -> c2(F(g(g(0)), g(1), z2)) F(g(g(y0)), g(g(z1)), g(g(y2))) -> c2(F(g(g(y0)), g(z1), g(g(y2)))) F(g(g(g(y0))), g(g(z1)), g(y2)) -> c2(F(g(g(g(y0))), g(z1), g(y2))) F(g(g(y0)), g(g(g(y1))), g(y2)) -> c2(F(g(g(y0)), g(g(y1)), g(y2))) F(g(g(0)), g(g(1)), g(y0)) -> c2(F(g(g(0)), g(1), g(y0))) F(g(g(g(g(y0)))), g(g(z1)), z2) -> c2(F(g(g(g(g(y0)))), g(z1), z2)) F(g(g(g(y0))), g(g(g(y1))), z2) -> c2(F(g(g(g(y0))), g(g(y1)), z2)) F(g(g(g(0))), g(g(1)), z2) -> c2(F(g(g(g(0))), g(1), z2)) F(g(g(g(y0))), g(g(z1)), g(g(y2))) -> c2(F(g(g(g(y0))), g(z1), g(g(y2)))) F(g(g(g(g(y0)))), g(g(z1)), g(y2)) -> c2(F(g(g(g(g(y0)))), g(z1), g(y2))) F(g(g(g(y0))), g(g(g(y1))), g(y2)) -> c2(F(g(g(g(y0))), g(g(y1)), g(y2))) F(g(g(g(0))), g(g(1)), g(y0)) -> c2(F(g(g(g(0))), g(1), g(y0))) F(g(g(g(g(g(y0))))), g(g(z1)), g(y2)) -> c2(F(g(g(g(g(g(y0))))), g(z1), g(y2))) F(g(g(g(g(y0)))), g(g(g(y1))), g(y2)) -> c2(F(g(g(g(g(y0)))), g(g(y1)), g(y2))) F(g(g(g(g(0)))), g(g(1)), g(y0)) -> c2(F(g(g(g(g(0)))), g(1), g(y0))) F(g(g(g(g(y0)))), g(g(z1)), g(g(y2))) -> c2(F(g(g(g(g(y0)))), g(z1), g(g(y2)))) F(0, g(g(1)), g(g(y0))) -> c2(F(0, g(1), g(g(y0)))) F(0, g(g(1)), g(g(g(y0)))) -> c2(F(0, g(1), g(g(g(y0))))) F(z0, g(z1), g(g(y2))) -> c2(F(z0, z1, g(g(y2)))) F(g(0), g(1), g(z2)) -> c2(F(g(0), 1, g(z2))) F(g(g(y0)), g(z1), g(z2)) -> c2(F(g(g(y0)), z1, g(z2))) F(g(y0), g(z1), g(g(y2))) -> c2(F(g(y0), z1, g(g(y2)))) F(g(g(0)), g(1), g(z2)) -> c2(F(g(g(0)), 1, g(z2))) F(g(g(g(y0))), g(z1), g(z2)) -> c2(F(g(g(g(y0))), z1, g(z2))) F(g(g(y0)), g(z1), g(g(y2))) -> c2(F(g(g(y0)), z1, g(g(y2)))) F(g(0), g(1), g(g(y0))) -> c2(F(g(0), 1, g(g(y0)))) F(g(0), g(1), g(g(g(y0)))) -> c2(F(g(0), 1, g(g(g(y0))))) F(g(g(g(0))), g(1), g(z2)) -> c2(F(g(g(g(0))), 1, g(z2))) F(g(g(g(g(y0)))), g(z1), g(z2)) -> c2(F(g(g(g(g(y0)))), z1, g(z2))) F(g(g(g(y0))), g(z1), g(g(y2))) -> c2(F(g(g(g(y0))), z1, g(g(y2)))) F(g(g(0)), g(1), g(g(y0))) -> c2(F(g(g(0)), 1, g(g(y0)))) F(g(g(0)), g(1), g(g(g(y0)))) -> c2(F(g(g(0)), 1, g(g(g(y0))))) F(z0, g(g(g(g(y1)))), g(z2)) -> c2(F(z0, g(g(g(y1))), g(z2))) F(g(0), g(g(g(1))), g(z2)) -> c2(F(g(0), g(g(1)), g(z2))) F(g(y0), g(g(g(g(y1)))), g(z2)) -> c2(F(g(y0), g(g(g(y1))), g(z2))) F(z0, g(g(g(y1))), g(g(y2))) -> c2(F(z0, g(g(y1)), g(g(y2)))) F(g(y0), g(g(g(y1))), g(g(y2))) -> c2(F(g(y0), g(g(y1)), g(g(y2)))) F(0, g(g(g(1))), g(z2)) -> c2(F(0, g(g(1)), g(z2))) F(g(g(y0)), g(g(g(g(y1)))), g(z2)) -> c2(F(g(g(y0)), g(g(g(y1))), g(z2))) F(g(g(0)), g(g(g(1))), g(z2)) -> c2(F(g(g(0)), g(g(1)), g(z2))) F(g(g(y0)), g(g(g(y1))), g(g(y2))) -> c2(F(g(g(y0)), g(g(y1)), g(g(y2)))) F(g(g(g(y0))), g(g(g(g(y1)))), g(z2)) -> c2(F(g(g(g(y0))), g(g(g(y1))), g(z2))) F(g(g(g(0))), g(g(g(1))), g(z2)) -> c2(F(g(g(g(0))), g(g(1)), g(z2))) F(g(g(g(y0))), g(g(g(y1))), g(g(y2))) -> c2(F(g(g(g(y0))), g(g(y1)), g(g(y2)))) F(g(g(g(g(g(y0))))), g(g(g(y1))), g(z2)) -> c2(F(g(g(g(g(g(y0))))), g(g(y1)), g(z2))) F(g(g(g(g(y0)))), g(g(g(g(y1)))), g(z2)) -> c2(F(g(g(g(g(y0)))), g(g(g(y1))), g(z2))) F(g(g(g(g(0)))), g(g(g(1))), g(z2)) -> c2(F(g(g(g(g(0)))), g(g(1)), g(z2))) F(g(g(g(g(y0)))), g(g(g(y1))), g(g(y2))) -> c2(F(g(g(g(g(y0)))), g(g(y1)), g(g(y2)))) F(0, g(g(g(1))), g(g(y0))) -> c2(F(0, g(g(1)), g(g(y0)))) F(0, g(g(g(1))), g(g(g(y0)))) -> c2(F(0, g(g(1)), g(g(g(y0))))) F(g(g(0)), g(1), z2) -> c2(F(g(g(0)), 1, z2)) F(g(g(g(y0))), g(z1), z2) -> c2(F(g(g(g(y0))), z1, z2)) F(g(g(z0)), g(g(g(g(y1)))), z2) -> c2(F(g(g(z0)), g(g(g(y1))), z2)) F(g(g(0)), g(g(g(1))), z2) -> c2(F(g(g(0)), g(g(1)), z2)) F(g(g(g(g(y0)))), g(g(g(y1))), z2) -> c2(F(g(g(g(g(y0)))), g(g(y1)), z2)) F(g(g(g(y0))), g(g(g(g(y1)))), z2) -> c2(F(g(g(g(y0))), g(g(g(y1))), z2)) F(g(g(g(0))), g(g(g(1))), z2) -> c2(F(g(g(g(0))), g(g(1)), z2)) F(g(g(0)), g(g(1)), g(g(y0))) -> c2(F(g(g(0)), g(1), g(g(y0)))) F(g(g(0)), g(g(1)), g(g(g(y0)))) -> c2(F(g(g(0)), g(1), g(g(g(y0))))) F(g(g(z0)), g(g(g(g(g(y1))))), g(y2)) -> c2(F(g(g(z0)), g(g(g(g(y1)))), g(y2))) F(g(g(z0)), g(g(g(g(y1)))), g(g(y2))) -> c2(F(g(g(z0)), g(g(g(y1))), g(g(y2)))) F(g(g(0)), g(g(g(g(1)))), g(y0)) -> c2(F(g(g(0)), g(g(g(1))), g(y0))) F(g(g(g(y0))), g(g(g(g(g(y1))))), g(y2)) -> c2(F(g(g(g(y0))), g(g(g(g(y1)))), g(y2))) F(g(g(g(0))), g(g(g(g(1)))), g(y0)) -> c2(F(g(g(g(0))), g(g(g(1))), g(y0))) F(g(g(g(y0))), g(g(g(g(y1)))), g(g(y2))) -> c2(F(g(g(g(y0))), g(g(g(y1))), g(g(y2)))) F(g(g(g(g(g(y0))))), g(g(g(g(y1)))), g(y2)) -> c2(F(g(g(g(g(g(y0))))), g(g(g(y1))), g(y2))) F(g(g(g(g(y0)))), g(g(g(g(g(y1))))), g(y2)) -> c2(F(g(g(g(g(y0)))), g(g(g(g(y1)))), g(y2))) F(g(g(g(g(0)))), g(g(g(g(1)))), g(y0)) -> c2(F(g(g(g(g(0)))), g(g(g(1))), g(y0))) F(g(g(g(g(y0)))), g(g(g(g(y1)))), g(g(y2))) -> c2(F(g(g(g(g(y0)))), g(g(g(y1))), g(g(y2)))) F(g(z0), g(g(g(g(y1)))), z2) -> c2(F(g(z0), g(g(g(y1))), z2)) F(g(0), g(g(g(1))), z2) -> c2(F(g(0), g(g(1)), z2)) F(g(0), g(g(1)), g(g(y0))) -> c2(F(g(0), g(1), g(g(y0)))) F(g(0), g(g(1)), g(g(g(y0)))) -> c2(F(g(0), g(1), g(g(g(y0))))) F(g(z0), g(g(g(g(g(y1))))), g(y2)) -> c2(F(g(z0), g(g(g(g(y1)))), g(y2))) F(g(0), g(g(g(g(1)))), g(y0)) -> c2(F(g(0), g(g(g(1))), g(y0))) F(g(z0), g(g(g(g(y1)))), g(g(y2))) -> c2(F(g(z0), g(g(g(y1))), g(g(y2)))) F(g(g(y0)), g(g(g(g(g(y1))))), z2) -> c2(F(g(g(y0)), g(g(g(g(y1)))), z2)) F(g(g(0)), g(g(g(g(1)))), z2) -> c2(F(g(g(0)), g(g(g(1))), z2)) F(g(g(g(g(y0)))), g(g(g(g(y1)))), z2) -> c2(F(g(g(g(g(y0)))), g(g(g(y1))), z2)) F(g(g(g(y0))), g(g(g(g(g(y1))))), z2) -> c2(F(g(g(g(y0))), g(g(g(g(y1)))), z2)) F(g(g(g(0))), g(g(g(g(1)))), z2) -> c2(F(g(g(g(0))), g(g(g(1))), z2)) F(g(g(0)), g(g(g(1))), g(g(y0))) -> c2(F(g(g(0)), g(g(1)), g(g(y0)))) F(g(g(0)), g(g(g(1))), g(g(g(y0)))) -> c2(F(g(g(0)), g(g(1)), g(g(g(y0))))) F(g(g(y0)), g(g(g(g(g(g(y1)))))), g(y2)) -> c2(F(g(g(y0)), g(g(g(g(g(y1))))), g(y2))) F(g(g(y0)), g(g(g(g(g(y1))))), g(g(y2))) -> c2(F(g(g(y0)), g(g(g(g(y1)))), g(g(y2)))) F(g(g(0)), g(g(g(g(g(1))))), g(y0)) -> c2(F(g(g(0)), g(g(g(g(1)))), g(y0))) F(g(g(g(y0))), g(g(g(g(g(g(y1)))))), g(y2)) -> c2(F(g(g(g(y0))), g(g(g(g(g(y1))))), g(y2))) F(g(g(g(0))), g(g(g(g(g(1))))), g(y0)) -> c2(F(g(g(g(0))), g(g(g(g(1)))), g(y0))) F(g(g(g(y0))), g(g(g(g(g(y1))))), g(g(y2))) -> c2(F(g(g(g(y0))), g(g(g(g(y1)))), g(g(y2)))) F(g(g(g(g(g(y0))))), g(g(g(g(g(y1))))), g(y2)) -> c2(F(g(g(g(g(g(y0))))), g(g(g(g(y1)))), g(y2))) F(g(g(g(g(y0)))), g(g(g(g(g(g(y1)))))), g(y2)) -> c2(F(g(g(g(g(y0)))), g(g(g(g(g(y1))))), g(y2))) F(g(g(g(g(0)))), g(g(g(g(g(1))))), g(y0)) -> c2(F(g(g(g(g(0)))), g(g(g(g(1)))), g(y0))) F(g(g(g(g(y0)))), g(g(g(g(g(y1))))), g(g(y2))) -> c2(F(g(g(g(g(y0)))), g(g(g(g(y1)))), g(g(y2)))) S tuples: F(g(y0), g(z1), g(y2)) -> c2(F(g(y0), z1, g(y2))) F(g(g(0)), 1, z2) -> c1(F(g(0), 1, z2)) F(g(g(g(y0))), z1, z2) -> c1(F(g(g(y0)), z1, z2)) F(g(g(z0)), g(y1), z2) -> c1(F(g(z0), g(y1), z2)) F(g(g(z0)), z1, g(y2)) -> c1(F(g(z0), z1, g(y2))) F(g(g(z0)), g(g(y1)), z2) -> c1(F(g(z0), g(g(y1)), z2)) F(g(g(z0)), g(y1), g(y2)) -> c1(F(g(z0), g(y1), g(y2))) F(g(g(0)), g(1), z2) -> c1(F(g(0), g(1), z2)) F(g(g(g(y0))), g(y1), z2) -> c1(F(g(g(y0)), g(y1), z2)) F(g(g(z0)), z1, g(g(y2))) -> c1(F(g(z0), z1, g(g(y2)))) F(g(g(0)), 1, g(y0)) -> c1(F(g(0), 1, g(y0))) F(g(g(g(y0))), z1, g(y2)) -> c1(F(g(g(y0)), z1, g(y2))) F(g(g(z0)), g(g(y1)), g(y2)) -> c1(F(g(z0), g(g(y1)), g(y2))) F(g(g(z0)), g(y1), g(g(y2))) -> c1(F(g(z0), g(y1), g(g(y2)))) F(g(g(0)), g(1), g(y0)) -> c1(F(g(0), g(1), g(y0))) F(g(g(g(y0))), g(y1), g(y2)) -> c1(F(g(g(y0)), g(y1), g(y2))) F(g(0), g(1), z2) -> c1(F(0, g(1), z2)) F(g(z0), g(g(y1)), z2) -> c1(F(z0, g(g(y1)), z2)) F(g(z0), g(z1), g(y2)) -> c1(F(z0, g(z1), g(y2))) F(g(z0), g(z1), g(g(y2))) -> c1(F(z0, g(z1), g(g(y2)))) F(g(0), g(1), g(y0)) -> c1(F(0, g(1), g(y0))) F(g(z0), g(g(y1)), g(y2)) -> c1(F(z0, g(g(y1)), g(y2))) F(g(g(g(g(y0)))), g(z1), z2) -> c1(F(g(g(g(y0))), g(z1), z2)) F(g(g(g(y0))), g(g(y1)), z2) -> c1(F(g(g(y0)), g(g(y1)), z2)) F(g(g(g(0))), g(1), z2) -> c1(F(g(g(0)), g(1), z2)) F(g(g(g(y0))), g(z1), g(g(y2))) -> c1(F(g(g(y0)), g(z1), g(g(y2)))) F(g(g(g(g(y0)))), g(z1), g(y2)) -> c1(F(g(g(g(y0))), g(z1), g(y2))) F(g(g(g(y0))), g(g(y1)), g(y2)) -> c1(F(g(g(y0)), g(g(y1)), g(y2))) F(g(g(g(0))), g(1), g(y0)) -> c1(F(g(g(0)), g(1), g(y0))) F(0, 1, g(y2)) -> c(F(g(g(y2)), g(g(y2)), g(y2))) F(0, 1, g(g(y2))) -> c(F(g(g(g(y2))), g(g(g(y2))), g(g(y2)))) F(0, 1, g(g(g(y0)))) -> c(F(g(g(g(g(y0)))), g(g(g(g(y0)))), g(g(g(y0))))) F(g(0), 1, g(y0)) -> c1(F(0, 1, g(y0))) F(g(0), 1, g(g(y2))) -> c1(F(0, 1, g(g(y2)))) F(g(0), 1, g(g(g(y0)))) -> c1(F(0, 1, g(g(g(y0))))) F(g(z0), z1, g(g(y2))) -> c1(F(z0, z1, g(g(y2)))) F(g(g(g(0))), 1, g(z2)) -> c1(F(g(g(0)), 1, g(z2))) F(g(g(g(g(y0)))), z1, g(z2)) -> c1(F(g(g(g(y0))), z1, g(z2))) F(g(g(g(y0))), z1, g(g(y2))) -> c1(F(g(g(y0)), z1, g(g(y2)))) F(g(g(g(g(g(y0))))), g(y1), g(z2)) -> c1(F(g(g(g(g(y0)))), g(y1), g(z2))) F(g(g(g(g(y0)))), g(g(y1)), g(z2)) -> c1(F(g(g(g(y0))), g(g(y1)), g(z2))) F(g(g(g(g(0)))), g(1), g(z2)) -> c1(F(g(g(g(0))), g(1), g(z2))) F(g(g(g(g(y0)))), g(y1), g(g(y2))) -> c1(F(g(g(g(y0))), g(y1), g(g(y2)))) F(g(g(0)), 1, g(g(y0))) -> c1(F(g(0), 1, g(g(y0)))) F(g(g(0)), 1, g(g(g(y0)))) -> c1(F(g(0), 1, g(g(g(y0))))) F(0, g(1), g(y0)) -> c2(F(0, 1, g(y0))) F(0, g(1), g(g(y2))) -> c2(F(0, 1, g(g(y2)))) F(0, g(1), g(g(g(y0)))) -> c2(F(0, 1, g(g(g(y0))))) F(z0, g(g(g(y1))), z2) -> c2(F(z0, g(g(y1)), z2)) F(z0, g(g(z1)), g(y2)) -> c2(F(z0, g(z1), g(y2))) F(g(0), g(g(1)), z2) -> c2(F(g(0), g(1), z2)) F(g(g(y0)), g(g(z1)), z2) -> c2(F(g(g(y0)), g(z1), z2)) F(g(y0), g(g(g(y1))), z2) -> c2(F(g(y0), g(g(y1)), z2)) F(g(y0), g(g(z1)), g(y2)) -> c2(F(g(y0), g(z1), g(y2))) F(z0, g(g(z1)), g(g(y2))) -> c2(F(z0, g(z1), g(g(y2)))) F(g(g(y0)), g(g(z1)), g(y2)) -> c2(F(g(g(y0)), g(z1), g(y2))) F(g(y0), g(g(z1)), g(g(y2))) -> c2(F(g(y0), g(z1), g(g(y2)))) F(0, g(g(1)), g(y0)) -> c2(F(0, g(1), g(y0))) F(z0, g(g(g(y1))), g(y2)) -> c2(F(z0, g(g(y1)), g(y2))) F(g(0), g(g(1)), g(y0)) -> c2(F(g(0), g(1), g(y0))) F(g(y0), g(g(g(y1))), g(y2)) -> c2(F(g(y0), g(g(y1)), g(y2))) F(g(g(g(y0))), g(g(z1)), z2) -> c2(F(g(g(g(y0))), g(z1), z2)) F(g(g(y0)), g(g(g(y1))), z2) -> c2(F(g(g(y0)), g(g(y1)), z2)) F(g(g(0)), g(g(1)), z2) -> c2(F(g(g(0)), g(1), z2)) F(g(g(y0)), g(g(z1)), g(g(y2))) -> c2(F(g(g(y0)), g(z1), g(g(y2)))) F(g(g(g(y0))), g(g(z1)), g(y2)) -> c2(F(g(g(g(y0))), g(z1), g(y2))) F(g(g(y0)), g(g(g(y1))), g(y2)) -> c2(F(g(g(y0)), g(g(y1)), g(y2))) F(g(g(0)), g(g(1)), g(y0)) -> c2(F(g(g(0)), g(1), g(y0))) F(g(g(g(g(y0)))), g(g(z1)), z2) -> c2(F(g(g(g(g(y0)))), g(z1), z2)) F(g(g(g(y0))), g(g(g(y1))), z2) -> c2(F(g(g(g(y0))), g(g(y1)), z2)) F(g(g(g(0))), g(g(1)), z2) -> c2(F(g(g(g(0))), g(1), z2)) F(g(g(g(y0))), g(g(z1)), g(g(y2))) -> c2(F(g(g(g(y0))), g(z1), g(g(y2)))) F(g(g(g(g(y0)))), g(g(z1)), g(y2)) -> c2(F(g(g(g(g(y0)))), g(z1), g(y2))) F(g(g(g(y0))), g(g(g(y1))), g(y2)) -> c2(F(g(g(g(y0))), g(g(y1)), g(y2))) F(g(g(g(0))), g(g(1)), g(y0)) -> c2(F(g(g(g(0))), g(1), g(y0))) F(g(g(g(g(g(y0))))), g(g(z1)), g(y2)) -> c2(F(g(g(g(g(g(y0))))), g(z1), g(y2))) F(g(g(g(g(y0)))), g(g(g(y1))), g(y2)) -> c2(F(g(g(g(g(y0)))), g(g(y1)), g(y2))) F(g(g(g(g(0)))), g(g(1)), g(y0)) -> c2(F(g(g(g(g(0)))), g(1), g(y0))) F(g(g(g(g(y0)))), g(g(z1)), g(g(y2))) -> c2(F(g(g(g(g(y0)))), g(z1), g(g(y2)))) F(0, g(g(1)), g(g(y0))) -> c2(F(0, g(1), g(g(y0)))) F(0, g(g(1)), g(g(g(y0)))) -> c2(F(0, g(1), g(g(g(y0))))) F(z0, g(z1), g(g(y2))) -> c2(F(z0, z1, g(g(y2)))) F(g(0), g(1), g(z2)) -> c2(F(g(0), 1, g(z2))) F(g(g(y0)), g(z1), g(z2)) -> c2(F(g(g(y0)), z1, g(z2))) F(g(y0), g(z1), g(g(y2))) -> c2(F(g(y0), z1, g(g(y2)))) F(g(g(0)), g(1), g(z2)) -> c2(F(g(g(0)), 1, g(z2))) F(g(g(g(y0))), g(z1), g(z2)) -> c2(F(g(g(g(y0))), z1, g(z2))) F(g(g(y0)), g(z1), g(g(y2))) -> c2(F(g(g(y0)), z1, g(g(y2)))) F(g(0), g(1), g(g(y0))) -> c2(F(g(0), 1, g(g(y0)))) F(g(0), g(1), g(g(g(y0)))) -> c2(F(g(0), 1, g(g(g(y0))))) F(g(g(g(0))), g(1), g(z2)) -> c2(F(g(g(g(0))), 1, g(z2))) F(g(g(g(g(y0)))), g(z1), g(z2)) -> c2(F(g(g(g(g(y0)))), z1, g(z2))) F(g(g(g(y0))), g(z1), g(g(y2))) -> c2(F(g(g(g(y0))), z1, g(g(y2)))) F(g(g(0)), g(1), g(g(y0))) -> c2(F(g(g(0)), 1, g(g(y0)))) F(g(g(0)), g(1), g(g(g(y0)))) -> c2(F(g(g(0)), 1, g(g(g(y0))))) F(z0, g(g(g(g(y1)))), g(z2)) -> c2(F(z0, g(g(g(y1))), g(z2))) F(g(0), g(g(g(1))), g(z2)) -> c2(F(g(0), g(g(1)), g(z2))) F(g(y0), g(g(g(g(y1)))), g(z2)) -> c2(F(g(y0), g(g(g(y1))), g(z2))) F(z0, g(g(g(y1))), g(g(y2))) -> c2(F(z0, g(g(y1)), g(g(y2)))) F(g(y0), g(g(g(y1))), g(g(y2))) -> c2(F(g(y0), g(g(y1)), g(g(y2)))) F(0, g(g(g(1))), g(z2)) -> c2(F(0, g(g(1)), g(z2))) F(g(g(y0)), g(g(g(g(y1)))), g(z2)) -> c2(F(g(g(y0)), g(g(g(y1))), g(z2))) F(g(g(0)), g(g(g(1))), g(z2)) -> c2(F(g(g(0)), g(g(1)), g(z2))) F(g(g(y0)), g(g(g(y1))), g(g(y2))) -> c2(F(g(g(y0)), g(g(y1)), g(g(y2)))) F(g(g(g(y0))), g(g(g(g(y1)))), g(z2)) -> c2(F(g(g(g(y0))), g(g(g(y1))), g(z2))) F(g(g(g(0))), g(g(g(1))), g(z2)) -> c2(F(g(g(g(0))), g(g(1)), g(z2))) F(g(g(g(y0))), g(g(g(y1))), g(g(y2))) -> c2(F(g(g(g(y0))), g(g(y1)), g(g(y2)))) F(g(g(g(g(g(y0))))), g(g(g(y1))), g(z2)) -> c2(F(g(g(g(g(g(y0))))), g(g(y1)), g(z2))) F(g(g(g(g(y0)))), g(g(g(g(y1)))), g(z2)) -> c2(F(g(g(g(g(y0)))), g(g(g(y1))), g(z2))) F(g(g(g(g(0)))), g(g(g(1))), g(z2)) -> c2(F(g(g(g(g(0)))), g(g(1)), g(z2))) F(g(g(g(g(y0)))), g(g(g(y1))), g(g(y2))) -> c2(F(g(g(g(g(y0)))), g(g(y1)), g(g(y2)))) F(0, g(g(g(1))), g(g(y0))) -> c2(F(0, g(g(1)), g(g(y0)))) F(0, g(g(g(1))), g(g(g(y0)))) -> c2(F(0, g(g(1)), g(g(g(y0))))) F(g(g(0)), g(1), z2) -> c2(F(g(g(0)), 1, z2)) F(g(g(g(y0))), g(z1), z2) -> c2(F(g(g(g(y0))), z1, z2)) F(g(g(z0)), g(g(g(g(y1)))), z2) -> c2(F(g(g(z0)), g(g(g(y1))), z2)) F(g(g(0)), g(g(g(1))), z2) -> c2(F(g(g(0)), g(g(1)), z2)) F(g(g(g(g(y0)))), g(g(g(y1))), z2) -> c2(F(g(g(g(g(y0)))), g(g(y1)), z2)) F(g(g(g(y0))), g(g(g(g(y1)))), z2) -> c2(F(g(g(g(y0))), g(g(g(y1))), z2)) F(g(g(g(0))), g(g(g(1))), z2) -> c2(F(g(g(g(0))), g(g(1)), z2)) F(g(g(0)), g(g(1)), g(g(y0))) -> c2(F(g(g(0)), g(1), g(g(y0)))) F(g(g(0)), g(g(1)), g(g(g(y0)))) -> c2(F(g(g(0)), g(1), g(g(g(y0))))) F(g(g(z0)), g(g(g(g(g(y1))))), g(y2)) -> c2(F(g(g(z0)), g(g(g(g(y1)))), g(y2))) F(g(g(z0)), g(g(g(g(y1)))), g(g(y2))) -> c2(F(g(g(z0)), g(g(g(y1))), g(g(y2)))) F(g(g(0)), g(g(g(g(1)))), g(y0)) -> c2(F(g(g(0)), g(g(g(1))), g(y0))) F(g(g(g(y0))), g(g(g(g(g(y1))))), g(y2)) -> c2(F(g(g(g(y0))), g(g(g(g(y1)))), g(y2))) F(g(g(g(0))), g(g(g(g(1)))), g(y0)) -> c2(F(g(g(g(0))), g(g(g(1))), g(y0))) F(g(g(g(y0))), g(g(g(g(y1)))), g(g(y2))) -> c2(F(g(g(g(y0))), g(g(g(y1))), g(g(y2)))) F(g(g(g(g(g(y0))))), g(g(g(g(y1)))), g(y2)) -> c2(F(g(g(g(g(g(y0))))), g(g(g(y1))), g(y2))) F(g(g(g(g(y0)))), g(g(g(g(g(y1))))), g(y2)) -> c2(F(g(g(g(g(y0)))), g(g(g(g(y1)))), g(y2))) F(g(g(g(g(0)))), g(g(g(g(1)))), g(y0)) -> c2(F(g(g(g(g(0)))), g(g(g(1))), g(y0))) F(g(g(g(g(y0)))), g(g(g(g(y1)))), g(g(y2))) -> c2(F(g(g(g(g(y0)))), g(g(g(y1))), g(g(y2)))) F(g(z0), g(g(g(g(y1)))), z2) -> c2(F(g(z0), g(g(g(y1))), z2)) F(g(0), g(g(g(1))), z2) -> c2(F(g(0), g(g(1)), z2)) F(g(0), g(g(1)), g(g(y0))) -> c2(F(g(0), g(1), g(g(y0)))) F(g(0), g(g(1)), g(g(g(y0)))) -> c2(F(g(0), g(1), g(g(g(y0))))) F(g(z0), g(g(g(g(g(y1))))), g(y2)) -> c2(F(g(z0), g(g(g(g(y1)))), g(y2))) F(g(0), g(g(g(g(1)))), g(y0)) -> c2(F(g(0), g(g(g(1))), g(y0))) F(g(z0), g(g(g(g(y1)))), g(g(y2))) -> c2(F(g(z0), g(g(g(y1))), g(g(y2)))) F(g(g(y0)), g(g(g(g(g(y1))))), z2) -> c2(F(g(g(y0)), g(g(g(g(y1)))), z2)) F(g(g(0)), g(g(g(g(1)))), z2) -> c2(F(g(g(0)), g(g(g(1))), z2)) F(g(g(g(g(y0)))), g(g(g(g(y1)))), z2) -> c2(F(g(g(g(g(y0)))), g(g(g(y1))), z2)) F(g(g(g(y0))), g(g(g(g(g(y1))))), z2) -> c2(F(g(g(g(y0))), g(g(g(g(y1)))), z2)) F(g(g(g(0))), g(g(g(g(1)))), z2) -> c2(F(g(g(g(0))), g(g(g(1))), z2)) F(g(g(0)), g(g(g(1))), g(g(y0))) -> c2(F(g(g(0)), g(g(1)), g(g(y0)))) F(g(g(0)), g(g(g(1))), g(g(g(y0)))) -> c2(F(g(g(0)), g(g(1)), g(g(g(y0))))) F(g(g(y0)), g(g(g(g(g(g(y1)))))), g(y2)) -> c2(F(g(g(y0)), g(g(g(g(g(y1))))), g(y2))) F(g(g(y0)), g(g(g(g(g(y1))))), g(g(y2))) -> c2(F(g(g(y0)), g(g(g(g(y1)))), g(g(y2)))) F(g(g(0)), g(g(g(g(g(1))))), g(y0)) -> c2(F(g(g(0)), g(g(g(g(1)))), g(y0))) F(g(g(g(y0))), g(g(g(g(g(g(y1)))))), g(y2)) -> c2(F(g(g(g(y0))), g(g(g(g(g(y1))))), g(y2))) F(g(g(g(0))), g(g(g(g(g(1))))), g(y0)) -> c2(F(g(g(g(0))), g(g(g(g(1)))), g(y0))) F(g(g(g(y0))), g(g(g(g(g(y1))))), g(g(y2))) -> c2(F(g(g(g(y0))), g(g(g(g(y1)))), g(g(y2)))) F(g(g(g(g(g(y0))))), g(g(g(g(g(y1))))), g(y2)) -> c2(F(g(g(g(g(g(y0))))), g(g(g(g(y1)))), g(y2))) F(g(g(g(g(y0)))), g(g(g(g(g(g(y1)))))), g(y2)) -> c2(F(g(g(g(g(y0)))), g(g(g(g(g(y1))))), g(y2))) F(g(g(g(g(0)))), g(g(g(g(g(1))))), g(y0)) -> c2(F(g(g(g(g(0)))), g(g(g(g(1)))), g(y0))) F(g(g(g(g(y0)))), g(g(g(g(g(y1))))), g(g(y2))) -> c2(F(g(g(g(g(y0)))), g(g(g(g(y1)))), g(g(y2)))) K tuples: F(0, 1, g(z2)) -> c3(F(0, 1, z2)) F(z0, z1, g(g(y2))) -> c3(F(z0, z1, g(y2))) F(g(0), 1, g(z2)) -> c3(F(g(0), 1, z2)) F(g(g(y0)), z1, g(z2)) -> c3(F(g(g(y0)), z1, z2)) F(g(y0), g(y1), g(z2)) -> c3(F(g(y0), g(y1), z2)) F(g(y0), z1, g(g(y2))) -> c3(F(g(y0), z1, g(y2))) F(0, g(1), g(z2)) -> c3(F(0, g(1), z2)) F(z0, g(g(y1)), g(z2)) -> c3(F(z0, g(g(y1)), z2)) F(z0, g(y1), g(g(y2))) -> c3(F(z0, g(y1), g(y2))) F(g(0), g(1), g(z2)) -> c3(F(g(0), g(1), z2)) F(g(g(y0)), g(y1), g(z2)) -> c3(F(g(g(y0)), g(y1), z2)) F(g(y0), g(g(y1)), g(z2)) -> c3(F(g(y0), g(g(y1)), z2)) F(g(y0), g(y1), g(g(y2))) -> c3(F(g(y0), g(y1), g(y2))) Defined Rule Symbols:none Defined Pair Symbols: F_3 Compound Symbols: c2_1, c3_1, c1_1, c_1 ---------------------------------------- (63) CdtForwardInstantiationProof (BOTH BOUNDS(ID, ID)) Use forward instantiation to replace F(g(y0), g(z1), g(y2)) -> c2(F(g(y0), z1, g(y2))) by F(g(z0), g(g(y1)), g(z2)) -> c2(F(g(z0), g(y1), g(z2))) F(g(z0), g(z1), g(g(y2))) -> c2(F(g(z0), z1, g(g(y2)))) F(g(0), g(1), g(z2)) -> c2(F(g(0), 1, g(z2))) F(g(g(y0)), g(z1), g(z2)) -> c2(F(g(g(y0)), z1, g(z2))) F(g(z0), g(g(g(y1))), g(z2)) -> c2(F(g(z0), g(g(y1)), g(z2))) F(g(z0), g(g(y1)), g(g(y2))) -> c2(F(g(z0), g(y1), g(g(y2)))) F(g(0), g(g(1)), g(z2)) -> c2(F(g(0), g(1), g(z2))) F(g(g(y0)), g(g(y1)), g(z2)) -> c2(F(g(g(y0)), g(y1), g(z2))) F(g(g(0)), g(1), g(z2)) -> c2(F(g(g(0)), 1, g(z2))) F(g(g(g(y0))), g(z1), g(z2)) -> c2(F(g(g(g(y0))), z1, g(z2))) F(g(g(y0)), g(g(g(y1))), g(z2)) -> c2(F(g(g(y0)), g(g(y1)), g(z2))) F(g(g(0)), g(g(1)), g(z2)) -> c2(F(g(g(0)), g(1), g(z2))) F(g(g(g(y0))), g(g(y1)), g(z2)) -> c2(F(g(g(g(y0))), g(y1), g(z2))) F(g(g(y0)), g(z1), g(g(y2))) -> c2(F(g(g(y0)), z1, g(g(y2)))) F(g(g(y0)), g(g(y1)), g(g(y2))) -> c2(F(g(g(y0)), g(y1), g(g(y2)))) F(g(g(g(g(y0)))), g(g(y1)), g(z2)) -> c2(F(g(g(g(g(y0)))), g(y1), g(z2))) F(g(g(g(y0))), g(g(g(y1))), g(z2)) -> c2(F(g(g(g(y0))), g(g(y1)), g(z2))) F(g(g(g(0))), g(g(1)), g(z2)) -> c2(F(g(g(g(0))), g(1), g(z2))) F(g(g(g(y0))), g(g(y1)), g(g(y2))) -> c2(F(g(g(g(y0))), g(y1), g(g(y2)))) F(g(0), g(1), g(g(y0))) -> c2(F(g(0), 1, g(g(y0)))) F(g(0), g(1), g(g(g(y0)))) -> c2(F(g(0), 1, g(g(g(y0))))) F(g(g(g(0))), g(1), g(z2)) -> c2(F(g(g(g(0))), 1, g(z2))) F(g(g(g(g(y0)))), g(z1), g(z2)) -> c2(F(g(g(g(g(y0)))), z1, g(z2))) F(g(g(g(y0))), g(z1), g(g(y2))) -> c2(F(g(g(g(y0))), z1, g(g(y2)))) F(g(g(g(g(g(y0))))), g(g(y1)), g(z2)) -> c2(F(g(g(g(g(g(y0))))), g(y1), g(z2))) F(g(g(g(g(y0)))), g(g(g(y1))), g(z2)) -> c2(F(g(g(g(g(y0)))), g(g(y1)), g(z2))) F(g(g(g(g(0)))), g(g(1)), g(z2)) -> c2(F(g(g(g(g(0)))), g(1), g(z2))) F(g(g(g(g(y0)))), g(g(y1)), g(g(y2))) -> c2(F(g(g(g(g(y0)))), g(y1), g(g(y2)))) F(g(g(0)), g(1), g(g(y0))) -> c2(F(g(g(0)), 1, g(g(y0)))) F(g(g(0)), g(1), g(g(g(y0)))) -> c2(F(g(g(0)), 1, g(g(g(y0))))) F(g(z0), g(g(g(g(y1)))), g(z2)) -> c2(F(g(z0), g(g(g(y1))), g(z2))) F(g(0), g(g(g(1))), g(z2)) -> c2(F(g(0), g(g(1)), g(z2))) F(g(z0), g(g(g(y1))), g(g(y2))) -> c2(F(g(z0), g(g(y1)), g(g(y2)))) F(g(g(y0)), g(g(g(g(y1)))), g(z2)) -> c2(F(g(g(y0)), g(g(g(y1))), g(z2))) F(g(g(0)), g(g(g(1))), g(z2)) -> c2(F(g(g(0)), g(g(1)), g(z2))) F(g(g(y0)), g(g(g(y1))), g(g(y2))) -> c2(F(g(g(y0)), g(g(y1)), g(g(y2)))) F(g(g(g(y0))), g(g(g(g(y1)))), g(z2)) -> c2(F(g(g(g(y0))), g(g(g(y1))), g(z2))) F(g(g(g(0))), g(g(g(1))), g(z2)) -> c2(F(g(g(g(0))), g(g(1)), g(z2))) F(g(g(g(y0))), g(g(g(y1))), g(g(y2))) -> c2(F(g(g(g(y0))), g(g(y1)), g(g(y2)))) F(g(g(g(g(g(y0))))), g(g(g(y1))), g(z2)) -> c2(F(g(g(g(g(g(y0))))), g(g(y1)), g(z2))) F(g(g(g(g(y0)))), g(g(g(g(y1)))), g(z2)) -> c2(F(g(g(g(g(y0)))), g(g(g(y1))), g(z2))) F(g(g(g(g(0)))), g(g(g(1))), g(z2)) -> c2(F(g(g(g(g(0)))), g(g(1)), g(z2))) F(g(g(g(g(y0)))), g(g(g(y1))), g(g(y2))) -> c2(F(g(g(g(g(y0)))), g(g(y1)), g(g(y2)))) F(g(0), g(g(1)), g(g(y0))) -> c2(F(g(0), g(1), g(g(y0)))) F(g(0), g(g(1)), g(g(g(y0)))) -> c2(F(g(0), g(1), g(g(g(y0))))) F(g(g(0)), g(g(1)), g(g(y0))) -> c2(F(g(g(0)), g(1), g(g(y0)))) F(g(g(0)), g(g(1)), g(g(g(y0)))) -> c2(F(g(g(0)), g(1), g(g(g(y0))))) F(g(z0), g(g(g(g(g(y1))))), g(z2)) -> c2(F(g(z0), g(g(g(g(y1)))), g(z2))) F(g(0), g(g(g(g(1)))), g(z2)) -> c2(F(g(0), g(g(g(1))), g(z2))) F(g(z0), g(g(g(g(y1)))), g(g(y2))) -> c2(F(g(z0), g(g(g(y1))), g(g(y2)))) F(g(g(y0)), g(g(g(g(g(y1))))), g(z2)) -> c2(F(g(g(y0)), g(g(g(g(y1)))), g(z2))) F(g(g(0)), g(g(g(g(1)))), g(z2)) -> c2(F(g(g(0)), g(g(g(1))), g(z2))) F(g(g(y0)), g(g(g(g(y1)))), g(g(y2))) -> c2(F(g(g(y0)), g(g(g(y1))), g(g(y2)))) F(g(g(g(y0))), g(g(g(g(g(y1))))), g(z2)) -> c2(F(g(g(g(y0))), g(g(g(g(y1)))), g(z2))) F(g(g(g(0))), g(g(g(g(1)))), g(z2)) -> c2(F(g(g(g(0))), g(g(g(1))), g(z2))) F(g(g(g(y0))), g(g(g(g(y1)))), g(g(y2))) -> c2(F(g(g(g(y0))), g(g(g(y1))), g(g(y2)))) F(g(g(g(g(g(y0))))), g(g(g(g(y1)))), g(z2)) -> c2(F(g(g(g(g(g(y0))))), g(g(g(y1))), g(z2))) F(g(g(g(g(y0)))), g(g(g(g(g(y1))))), g(z2)) -> c2(F(g(g(g(g(y0)))), g(g(g(g(y1)))), g(z2))) F(g(g(g(g(0)))), g(g(g(g(1)))), g(z2)) -> c2(F(g(g(g(g(0)))), g(g(g(1))), g(z2))) F(g(g(g(g(y0)))), g(g(g(g(y1)))), g(g(y2))) -> c2(F(g(g(g(g(y0)))), g(g(g(y1))), g(g(y2)))) F(g(g(0)), g(g(g(1))), g(g(y0))) -> c2(F(g(g(0)), g(g(1)), g(g(y0)))) F(g(g(0)), g(g(g(1))), g(g(g(y0)))) -> c2(F(g(g(0)), g(g(1)), g(g(g(y0))))) F(g(g(y0)), g(g(g(g(g(g(y1)))))), g(z2)) -> c2(F(g(g(y0)), g(g(g(g(g(y1))))), g(z2))) F(g(g(y0)), g(g(g(g(g(y1))))), g(g(y2))) -> c2(F(g(g(y0)), g(g(g(g(y1)))), g(g(y2)))) F(g(g(0)), g(g(g(g(g(1))))), g(z2)) -> c2(F(g(g(0)), g(g(g(g(1)))), g(z2))) F(g(g(g(y0))), g(g(g(g(g(g(y1)))))), g(z2)) -> c2(F(g(g(g(y0))), g(g(g(g(g(y1))))), g(z2))) F(g(g(g(0))), g(g(g(g(g(1))))), g(z2)) -> c2(F(g(g(g(0))), g(g(g(g(1)))), g(z2))) F(g(g(g(y0))), g(g(g(g(g(y1))))), g(g(y2))) -> c2(F(g(g(g(y0))), g(g(g(g(y1)))), g(g(y2)))) F(g(g(g(g(g(y0))))), g(g(g(g(g(y1))))), g(z2)) -> c2(F(g(g(g(g(g(y0))))), g(g(g(g(y1)))), g(z2))) F(g(g(g(g(y0)))), g(g(g(g(g(g(y1)))))), g(z2)) -> c2(F(g(g(g(g(y0)))), g(g(g(g(g(y1))))), g(z2))) F(g(g(g(g(0)))), g(g(g(g(g(1))))), g(z2)) -> c2(F(g(g(g(g(0)))), g(g(g(g(1)))), g(z2))) F(g(g(g(g(y0)))), g(g(g(g(g(y1))))), g(g(y2))) -> c2(F(g(g(g(g(y0)))), g(g(g(g(y1)))), g(g(y2)))) F(g(0), g(g(g(1))), g(g(y0))) -> c2(F(g(0), g(g(1)), g(g(y0)))) F(g(0), g(g(g(1))), g(g(g(y0)))) -> c2(F(g(0), g(g(1)), g(g(g(y0))))) F(g(z0), g(g(g(g(g(g(y1)))))), g(z2)) -> c2(F(g(z0), g(g(g(g(g(y1))))), g(z2))) F(g(0), g(g(g(g(g(1))))), g(z2)) -> c2(F(g(0), g(g(g(g(1)))), g(z2))) F(g(z0), g(g(g(g(g(y1))))), g(g(y2))) -> c2(F(g(z0), g(g(g(g(y1)))), g(g(y2)))) F(g(g(0)), g(g(g(g(1)))), g(g(y0))) -> c2(F(g(g(0)), g(g(g(1))), g(g(y0)))) F(g(g(0)), g(g(g(g(1)))), g(g(g(y0)))) -> c2(F(g(g(0)), g(g(g(1))), g(g(g(y0))))) F(g(g(y0)), g(g(g(g(g(g(g(y1))))))), g(z2)) -> c2(F(g(g(y0)), g(g(g(g(g(g(y1)))))), g(z2))) F(g(g(y0)), g(g(g(g(g(g(y1)))))), g(g(y2))) -> c2(F(g(g(y0)), g(g(g(g(g(y1))))), g(g(y2)))) F(g(g(0)), g(g(g(g(g(g(1)))))), g(z2)) -> c2(F(g(g(0)), g(g(g(g(g(1))))), g(z2))) F(g(g(g(y0))), g(g(g(g(g(g(g(y1))))))), g(z2)) -> c2(F(g(g(g(y0))), g(g(g(g(g(g(y1)))))), g(z2))) F(g(g(g(0))), g(g(g(g(g(g(1)))))), g(z2)) -> c2(F(g(g(g(0))), g(g(g(g(g(1))))), g(z2))) F(g(g(g(y0))), g(g(g(g(g(g(y1)))))), g(g(y2))) -> c2(F(g(g(g(y0))), g(g(g(g(g(y1))))), g(g(y2)))) F(g(g(g(g(g(y0))))), g(g(g(g(g(g(y1)))))), g(z2)) -> c2(F(g(g(g(g(g(y0))))), g(g(g(g(g(y1))))), g(z2))) F(g(g(g(g(y0)))), g(g(g(g(g(g(g(y1))))))), g(z2)) -> c2(F(g(g(g(g(y0)))), g(g(g(g(g(g(y1)))))), g(z2))) F(g(g(g(g(0)))), g(g(g(g(g(g(1)))))), g(z2)) -> c2(F(g(g(g(g(0)))), g(g(g(g(g(1))))), g(z2))) F(g(g(g(g(y0)))), g(g(g(g(g(g(y1)))))), g(g(y2))) -> c2(F(g(g(g(g(y0)))), g(g(g(g(g(y1))))), g(g(y2)))) ---------------------------------------- (64) Obligation: Complexity Dependency Tuples Problem Rules:none Tuples: F(0, 1, g(z2)) -> c3(F(0, 1, z2)) F(z0, z1, g(g(y2))) -> c3(F(z0, z1, g(y2))) F(g(0), 1, g(z2)) -> c3(F(g(0), 1, z2)) F(g(g(y0)), z1, g(z2)) -> c3(F(g(g(y0)), z1, z2)) F(g(y0), g(y1), g(z2)) -> c3(F(g(y0), g(y1), z2)) F(g(y0), z1, g(g(y2))) -> c3(F(g(y0), z1, g(y2))) F(0, g(1), g(z2)) -> c3(F(0, g(1), z2)) F(z0, g(g(y1)), g(z2)) -> c3(F(z0, g(g(y1)), z2)) F(z0, g(y1), g(g(y2))) -> c3(F(z0, g(y1), g(y2))) F(g(0), g(1), g(z2)) -> c3(F(g(0), g(1), z2)) F(g(g(y0)), g(y1), g(z2)) -> c3(F(g(g(y0)), g(y1), z2)) F(g(y0), g(g(y1)), g(z2)) -> c3(F(g(y0), g(g(y1)), z2)) F(g(y0), g(y1), g(g(y2))) -> c3(F(g(y0), g(y1), g(y2))) F(g(g(0)), 1, z2) -> c1(F(g(0), 1, z2)) F(g(g(g(y0))), z1, z2) -> c1(F(g(g(y0)), z1, z2)) F(g(g(z0)), g(y1), z2) -> c1(F(g(z0), g(y1), z2)) F(g(g(z0)), z1, g(y2)) -> c1(F(g(z0), z1, g(y2))) F(g(g(z0)), g(g(y1)), z2) -> c1(F(g(z0), g(g(y1)), z2)) F(g(g(z0)), g(y1), g(y2)) -> c1(F(g(z0), g(y1), g(y2))) F(g(g(0)), g(1), z2) -> c1(F(g(0), g(1), z2)) F(g(g(g(y0))), g(y1), z2) -> c1(F(g(g(y0)), g(y1), z2)) F(g(g(z0)), z1, g(g(y2))) -> c1(F(g(z0), z1, g(g(y2)))) F(g(g(0)), 1, g(y0)) -> c1(F(g(0), 1, g(y0))) F(g(g(g(y0))), z1, g(y2)) -> c1(F(g(g(y0)), z1, g(y2))) F(g(g(z0)), g(g(y1)), g(y2)) -> c1(F(g(z0), g(g(y1)), g(y2))) F(g(g(z0)), g(y1), g(g(y2))) -> c1(F(g(z0), g(y1), g(g(y2)))) F(g(g(0)), g(1), g(y0)) -> c1(F(g(0), g(1), g(y0))) F(g(g(g(y0))), g(y1), g(y2)) -> c1(F(g(g(y0)), g(y1), g(y2))) F(g(0), g(1), z2) -> c1(F(0, g(1), z2)) F(g(z0), g(g(y1)), z2) -> c1(F(z0, g(g(y1)), z2)) F(g(z0), g(z1), g(y2)) -> c1(F(z0, g(z1), g(y2))) F(g(z0), g(z1), g(g(y2))) -> c1(F(z0, g(z1), g(g(y2)))) F(g(0), g(1), g(y0)) -> c1(F(0, g(1), g(y0))) F(g(z0), g(g(y1)), g(y2)) -> c1(F(z0, g(g(y1)), g(y2))) F(g(g(g(g(y0)))), g(z1), z2) -> c1(F(g(g(g(y0))), g(z1), z2)) F(g(g(g(y0))), g(g(y1)), z2) -> c1(F(g(g(y0)), g(g(y1)), z2)) F(g(g(g(0))), g(1), z2) -> c1(F(g(g(0)), g(1), z2)) F(g(g(g(y0))), g(z1), g(g(y2))) -> c1(F(g(g(y0)), g(z1), g(g(y2)))) F(g(g(g(g(y0)))), g(z1), g(y2)) -> c1(F(g(g(g(y0))), g(z1), g(y2))) F(g(g(g(y0))), g(g(y1)), g(y2)) -> c1(F(g(g(y0)), g(g(y1)), g(y2))) F(g(g(g(0))), g(1), g(y0)) -> c1(F(g(g(0)), g(1), g(y0))) F(0, 1, g(y2)) -> c(F(g(g(y2)), g(g(y2)), g(y2))) F(0, 1, g(g(y2))) -> c(F(g(g(g(y2))), g(g(g(y2))), g(g(y2)))) F(0, 1, g(g(g(y0)))) -> c(F(g(g(g(g(y0)))), g(g(g(g(y0)))), g(g(g(y0))))) F(g(0), 1, g(y0)) -> c1(F(0, 1, g(y0))) F(g(0), 1, g(g(y2))) -> c1(F(0, 1, g(g(y2)))) F(g(0), 1, g(g(g(y0)))) -> c1(F(0, 1, g(g(g(y0))))) F(g(z0), z1, g(g(y2))) -> c1(F(z0, z1, g(g(y2)))) F(g(g(g(0))), 1, g(z2)) -> c1(F(g(g(0)), 1, g(z2))) F(g(g(g(g(y0)))), z1, g(z2)) -> c1(F(g(g(g(y0))), z1, g(z2))) F(g(g(g(y0))), z1, g(g(y2))) -> c1(F(g(g(y0)), z1, g(g(y2)))) F(g(g(g(g(g(y0))))), g(y1), g(z2)) -> c1(F(g(g(g(g(y0)))), g(y1), g(z2))) F(g(g(g(g(y0)))), g(g(y1)), g(z2)) -> c1(F(g(g(g(y0))), g(g(y1)), g(z2))) F(g(g(g(g(0)))), g(1), g(z2)) -> c1(F(g(g(g(0))), g(1), g(z2))) F(g(g(g(g(y0)))), g(y1), g(g(y2))) -> c1(F(g(g(g(y0))), g(y1), g(g(y2)))) F(g(g(0)), 1, g(g(y0))) -> c1(F(g(0), 1, g(g(y0)))) F(g(g(0)), 1, g(g(g(y0)))) -> c1(F(g(0), 1, g(g(g(y0))))) F(0, g(1), g(y0)) -> c2(F(0, 1, g(y0))) F(0, g(1), g(g(y2))) -> c2(F(0, 1, g(g(y2)))) F(0, g(1), g(g(g(y0)))) -> c2(F(0, 1, g(g(g(y0))))) F(z0, g(g(g(y1))), z2) -> c2(F(z0, g(g(y1)), z2)) F(z0, g(g(z1)), g(y2)) -> c2(F(z0, g(z1), g(y2))) F(g(0), g(g(1)), z2) -> c2(F(g(0), g(1), z2)) F(g(g(y0)), g(g(z1)), z2) -> c2(F(g(g(y0)), g(z1), z2)) F(g(y0), g(g(g(y1))), z2) -> c2(F(g(y0), g(g(y1)), z2)) F(g(y0), g(g(z1)), g(y2)) -> c2(F(g(y0), g(z1), g(y2))) F(z0, g(g(z1)), g(g(y2))) -> c2(F(z0, g(z1), g(g(y2)))) F(g(g(y0)), g(g(z1)), g(y2)) -> c2(F(g(g(y0)), g(z1), g(y2))) F(g(y0), g(g(z1)), g(g(y2))) -> c2(F(g(y0), g(z1), g(g(y2)))) F(0, g(g(1)), g(y0)) -> c2(F(0, g(1), g(y0))) F(z0, g(g(g(y1))), g(y2)) -> c2(F(z0, g(g(y1)), g(y2))) F(g(0), g(g(1)), g(y0)) -> c2(F(g(0), g(1), g(y0))) F(g(y0), g(g(g(y1))), g(y2)) -> c2(F(g(y0), g(g(y1)), g(y2))) F(g(g(g(y0))), g(g(z1)), z2) -> c2(F(g(g(g(y0))), g(z1), z2)) F(g(g(y0)), g(g(g(y1))), z2) -> c2(F(g(g(y0)), g(g(y1)), z2)) F(g(g(0)), g(g(1)), z2) -> c2(F(g(g(0)), g(1), z2)) F(g(g(y0)), g(g(z1)), g(g(y2))) -> c2(F(g(g(y0)), g(z1), g(g(y2)))) F(g(g(g(y0))), g(g(z1)), g(y2)) -> c2(F(g(g(g(y0))), g(z1), g(y2))) F(g(g(y0)), g(g(g(y1))), g(y2)) -> c2(F(g(g(y0)), g(g(y1)), g(y2))) F(g(g(0)), g(g(1)), g(y0)) -> c2(F(g(g(0)), g(1), g(y0))) F(g(g(g(g(y0)))), g(g(z1)), z2) -> c2(F(g(g(g(g(y0)))), g(z1), z2)) F(g(g(g(y0))), g(g(g(y1))), z2) -> c2(F(g(g(g(y0))), g(g(y1)), z2)) F(g(g(g(0))), g(g(1)), z2) -> c2(F(g(g(g(0))), g(1), z2)) F(g(g(g(y0))), g(g(z1)), g(g(y2))) -> c2(F(g(g(g(y0))), g(z1), g(g(y2)))) F(g(g(g(g(y0)))), g(g(z1)), g(y2)) -> c2(F(g(g(g(g(y0)))), g(z1), g(y2))) F(g(g(g(y0))), g(g(g(y1))), g(y2)) -> c2(F(g(g(g(y0))), g(g(y1)), g(y2))) F(g(g(g(0))), g(g(1)), g(y0)) -> c2(F(g(g(g(0))), g(1), g(y0))) F(g(g(g(g(g(y0))))), g(g(z1)), g(y2)) -> c2(F(g(g(g(g(g(y0))))), g(z1), g(y2))) F(g(g(g(g(y0)))), g(g(g(y1))), g(y2)) -> c2(F(g(g(g(g(y0)))), g(g(y1)), g(y2))) F(g(g(g(g(0)))), g(g(1)), g(y0)) -> c2(F(g(g(g(g(0)))), g(1), g(y0))) F(g(g(g(g(y0)))), g(g(z1)), g(g(y2))) -> c2(F(g(g(g(g(y0)))), g(z1), g(g(y2)))) F(0, g(g(1)), g(g(y0))) -> c2(F(0, g(1), g(g(y0)))) F(0, g(g(1)), g(g(g(y0)))) -> c2(F(0, g(1), g(g(g(y0))))) F(z0, g(z1), g(g(y2))) -> c2(F(z0, z1, g(g(y2)))) F(g(0), g(1), g(z2)) -> c2(F(g(0), 1, g(z2))) F(g(g(y0)), g(z1), g(z2)) -> c2(F(g(g(y0)), z1, g(z2))) F(g(y0), g(z1), g(g(y2))) -> c2(F(g(y0), z1, g(g(y2)))) F(g(g(0)), g(1), g(z2)) -> c2(F(g(g(0)), 1, g(z2))) F(g(g(g(y0))), g(z1), g(z2)) -> c2(F(g(g(g(y0))), z1, g(z2))) F(g(g(y0)), g(z1), g(g(y2))) -> c2(F(g(g(y0)), z1, g(g(y2)))) F(g(0), g(1), g(g(y0))) -> c2(F(g(0), 1, g(g(y0)))) F(g(0), g(1), g(g(g(y0)))) -> c2(F(g(0), 1, g(g(g(y0))))) F(g(g(g(0))), g(1), g(z2)) -> c2(F(g(g(g(0))), 1, g(z2))) F(g(g(g(g(y0)))), g(z1), g(z2)) -> c2(F(g(g(g(g(y0)))), z1, g(z2))) F(g(g(g(y0))), g(z1), g(g(y2))) -> c2(F(g(g(g(y0))), z1, g(g(y2)))) F(g(g(0)), g(1), g(g(y0))) -> c2(F(g(g(0)), 1, g(g(y0)))) F(g(g(0)), g(1), g(g(g(y0)))) -> c2(F(g(g(0)), 1, g(g(g(y0))))) F(z0, g(g(g(g(y1)))), g(z2)) -> c2(F(z0, g(g(g(y1))), g(z2))) F(g(0), g(g(g(1))), g(z2)) -> c2(F(g(0), g(g(1)), g(z2))) F(g(y0), g(g(g(g(y1)))), g(z2)) -> c2(F(g(y0), g(g(g(y1))), g(z2))) F(z0, g(g(g(y1))), g(g(y2))) -> c2(F(z0, g(g(y1)), g(g(y2)))) F(g(y0), g(g(g(y1))), g(g(y2))) -> c2(F(g(y0), g(g(y1)), g(g(y2)))) F(0, g(g(g(1))), g(z2)) -> c2(F(0, g(g(1)), g(z2))) F(g(g(y0)), g(g(g(g(y1)))), g(z2)) -> c2(F(g(g(y0)), g(g(g(y1))), g(z2))) F(g(g(0)), g(g(g(1))), g(z2)) -> c2(F(g(g(0)), g(g(1)), g(z2))) F(g(g(y0)), g(g(g(y1))), g(g(y2))) -> c2(F(g(g(y0)), g(g(y1)), g(g(y2)))) F(g(g(g(y0))), g(g(g(g(y1)))), g(z2)) -> c2(F(g(g(g(y0))), g(g(g(y1))), g(z2))) F(g(g(g(0))), g(g(g(1))), g(z2)) -> c2(F(g(g(g(0))), g(g(1)), g(z2))) F(g(g(g(y0))), g(g(g(y1))), g(g(y2))) -> c2(F(g(g(g(y0))), g(g(y1)), g(g(y2)))) F(g(g(g(g(g(y0))))), g(g(g(y1))), g(z2)) -> c2(F(g(g(g(g(g(y0))))), g(g(y1)), g(z2))) F(g(g(g(g(y0)))), g(g(g(g(y1)))), g(z2)) -> c2(F(g(g(g(g(y0)))), g(g(g(y1))), g(z2))) F(g(g(g(g(0)))), g(g(g(1))), g(z2)) -> c2(F(g(g(g(g(0)))), g(g(1)), g(z2))) F(g(g(g(g(y0)))), g(g(g(y1))), g(g(y2))) -> c2(F(g(g(g(g(y0)))), g(g(y1)), g(g(y2)))) F(0, g(g(g(1))), g(g(y0))) -> c2(F(0, g(g(1)), g(g(y0)))) F(0, g(g(g(1))), g(g(g(y0)))) -> c2(F(0, g(g(1)), g(g(g(y0))))) F(g(g(0)), g(1), z2) -> c2(F(g(g(0)), 1, z2)) F(g(g(g(y0))), g(z1), z2) -> c2(F(g(g(g(y0))), z1, z2)) F(g(g(z0)), g(g(g(g(y1)))), z2) -> c2(F(g(g(z0)), g(g(g(y1))), z2)) F(g(g(0)), g(g(g(1))), z2) -> c2(F(g(g(0)), g(g(1)), z2)) F(g(g(g(g(y0)))), g(g(g(y1))), z2) -> c2(F(g(g(g(g(y0)))), g(g(y1)), z2)) F(g(g(g(y0))), g(g(g(g(y1)))), z2) -> c2(F(g(g(g(y0))), g(g(g(y1))), z2)) F(g(g(g(0))), g(g(g(1))), z2) -> c2(F(g(g(g(0))), g(g(1)), z2)) F(g(g(0)), g(g(1)), g(g(y0))) -> c2(F(g(g(0)), g(1), g(g(y0)))) F(g(g(0)), g(g(1)), g(g(g(y0)))) -> c2(F(g(g(0)), g(1), g(g(g(y0))))) F(g(g(z0)), g(g(g(g(g(y1))))), g(y2)) -> c2(F(g(g(z0)), g(g(g(g(y1)))), g(y2))) F(g(g(z0)), g(g(g(g(y1)))), g(g(y2))) -> c2(F(g(g(z0)), g(g(g(y1))), g(g(y2)))) F(g(g(0)), g(g(g(g(1)))), g(y0)) -> c2(F(g(g(0)), g(g(g(1))), g(y0))) F(g(g(g(y0))), g(g(g(g(g(y1))))), g(y2)) -> c2(F(g(g(g(y0))), g(g(g(g(y1)))), g(y2))) F(g(g(g(0))), g(g(g(g(1)))), g(y0)) -> c2(F(g(g(g(0))), g(g(g(1))), g(y0))) F(g(g(g(y0))), g(g(g(g(y1)))), g(g(y2))) -> c2(F(g(g(g(y0))), g(g(g(y1))), g(g(y2)))) F(g(g(g(g(g(y0))))), g(g(g(g(y1)))), g(y2)) -> c2(F(g(g(g(g(g(y0))))), g(g(g(y1))), g(y2))) F(g(g(g(g(y0)))), g(g(g(g(g(y1))))), g(y2)) -> c2(F(g(g(g(g(y0)))), g(g(g(g(y1)))), g(y2))) F(g(g(g(g(0)))), g(g(g(g(1)))), g(y0)) -> c2(F(g(g(g(g(0)))), g(g(g(1))), g(y0))) F(g(g(g(g(y0)))), g(g(g(g(y1)))), g(g(y2))) -> c2(F(g(g(g(g(y0)))), g(g(g(y1))), g(g(y2)))) F(g(z0), g(g(g(g(y1)))), z2) -> c2(F(g(z0), g(g(g(y1))), z2)) F(g(0), g(g(g(1))), z2) -> c2(F(g(0), g(g(1)), z2)) F(g(0), g(g(1)), g(g(y0))) -> c2(F(g(0), g(1), g(g(y0)))) F(g(0), g(g(1)), g(g(g(y0)))) -> c2(F(g(0), g(1), g(g(g(y0))))) F(g(z0), g(g(g(g(g(y1))))), g(y2)) -> c2(F(g(z0), g(g(g(g(y1)))), g(y2))) F(g(0), g(g(g(g(1)))), g(y0)) -> c2(F(g(0), g(g(g(1))), g(y0))) F(g(z0), g(g(g(g(y1)))), g(g(y2))) -> c2(F(g(z0), g(g(g(y1))), g(g(y2)))) F(g(g(y0)), g(g(g(g(g(y1))))), z2) -> c2(F(g(g(y0)), g(g(g(g(y1)))), z2)) F(g(g(0)), g(g(g(g(1)))), z2) -> c2(F(g(g(0)), g(g(g(1))), z2)) F(g(g(g(g(y0)))), g(g(g(g(y1)))), z2) -> c2(F(g(g(g(g(y0)))), g(g(g(y1))), z2)) F(g(g(g(y0))), g(g(g(g(g(y1))))), z2) -> c2(F(g(g(g(y0))), g(g(g(g(y1)))), z2)) F(g(g(g(0))), g(g(g(g(1)))), z2) -> c2(F(g(g(g(0))), g(g(g(1))), z2)) F(g(g(0)), g(g(g(1))), g(g(y0))) -> c2(F(g(g(0)), g(g(1)), g(g(y0)))) F(g(g(0)), g(g(g(1))), g(g(g(y0)))) -> c2(F(g(g(0)), g(g(1)), g(g(g(y0))))) F(g(g(y0)), g(g(g(g(g(g(y1)))))), g(y2)) -> c2(F(g(g(y0)), g(g(g(g(g(y1))))), g(y2))) F(g(g(y0)), g(g(g(g(g(y1))))), g(g(y2))) -> c2(F(g(g(y0)), g(g(g(g(y1)))), g(g(y2)))) F(g(g(0)), g(g(g(g(g(1))))), g(y0)) -> c2(F(g(g(0)), g(g(g(g(1)))), g(y0))) F(g(g(g(y0))), g(g(g(g(g(g(y1)))))), g(y2)) -> c2(F(g(g(g(y0))), g(g(g(g(g(y1))))), g(y2))) F(g(g(g(0))), g(g(g(g(g(1))))), g(y0)) -> c2(F(g(g(g(0))), g(g(g(g(1)))), g(y0))) F(g(g(g(y0))), g(g(g(g(g(y1))))), g(g(y2))) -> c2(F(g(g(g(y0))), g(g(g(g(y1)))), g(g(y2)))) F(g(g(g(g(g(y0))))), g(g(g(g(g(y1))))), g(y2)) -> c2(F(g(g(g(g(g(y0))))), g(g(g(g(y1)))), g(y2))) F(g(g(g(g(y0)))), g(g(g(g(g(g(y1)))))), g(y2)) -> c2(F(g(g(g(g(y0)))), g(g(g(g(g(y1))))), g(y2))) F(g(g(g(g(0)))), g(g(g(g(g(1))))), g(y0)) -> c2(F(g(g(g(g(0)))), g(g(g(g(1)))), g(y0))) F(g(g(g(g(y0)))), g(g(g(g(g(y1))))), g(g(y2))) -> c2(F(g(g(g(g(y0)))), g(g(g(g(y1)))), g(g(y2)))) F(g(0), g(g(g(1))), g(g(y0))) -> c2(F(g(0), g(g(1)), g(g(y0)))) F(g(0), g(g(g(1))), g(g(g(y0)))) -> c2(F(g(0), g(g(1)), g(g(g(y0))))) F(g(z0), g(g(g(g(g(g(y1)))))), g(z2)) -> c2(F(g(z0), g(g(g(g(g(y1))))), g(z2))) F(g(0), g(g(g(g(g(1))))), g(z2)) -> c2(F(g(0), g(g(g(g(1)))), g(z2))) F(g(z0), g(g(g(g(g(y1))))), g(g(y2))) -> c2(F(g(z0), g(g(g(g(y1)))), g(g(y2)))) F(g(g(0)), g(g(g(g(1)))), g(g(y0))) -> c2(F(g(g(0)), g(g(g(1))), g(g(y0)))) F(g(g(0)), g(g(g(g(1)))), g(g(g(y0)))) -> c2(F(g(g(0)), g(g(g(1))), g(g(g(y0))))) F(g(g(y0)), g(g(g(g(g(g(g(y1))))))), g(z2)) -> c2(F(g(g(y0)), g(g(g(g(g(g(y1)))))), g(z2))) F(g(g(y0)), g(g(g(g(g(g(y1)))))), g(g(y2))) -> c2(F(g(g(y0)), g(g(g(g(g(y1))))), g(g(y2)))) F(g(g(0)), g(g(g(g(g(g(1)))))), g(z2)) -> c2(F(g(g(0)), g(g(g(g(g(1))))), g(z2))) F(g(g(g(y0))), g(g(g(g(g(g(g(y1))))))), g(z2)) -> c2(F(g(g(g(y0))), g(g(g(g(g(g(y1)))))), g(z2))) F(g(g(g(0))), g(g(g(g(g(g(1)))))), g(z2)) -> c2(F(g(g(g(0))), g(g(g(g(g(1))))), g(z2))) F(g(g(g(y0))), g(g(g(g(g(g(y1)))))), g(g(y2))) -> c2(F(g(g(g(y0))), g(g(g(g(g(y1))))), g(g(y2)))) F(g(g(g(g(g(y0))))), g(g(g(g(g(g(y1)))))), g(z2)) -> c2(F(g(g(g(g(g(y0))))), g(g(g(g(g(y1))))), g(z2))) F(g(g(g(g(y0)))), g(g(g(g(g(g(g(y1))))))), g(z2)) -> c2(F(g(g(g(g(y0)))), g(g(g(g(g(g(y1)))))), g(z2))) F(g(g(g(g(0)))), g(g(g(g(g(g(1)))))), g(z2)) -> c2(F(g(g(g(g(0)))), g(g(g(g(g(1))))), g(z2))) F(g(g(g(g(y0)))), g(g(g(g(g(g(y1)))))), g(g(y2))) -> c2(F(g(g(g(g(y0)))), g(g(g(g(g(y1))))), g(g(y2)))) S tuples: F(g(g(0)), 1, z2) -> c1(F(g(0), 1, z2)) F(g(g(g(y0))), z1, z2) -> c1(F(g(g(y0)), z1, z2)) F(g(g(z0)), g(y1), z2) -> c1(F(g(z0), g(y1), z2)) F(g(g(z0)), z1, g(y2)) -> c1(F(g(z0), z1, g(y2))) F(g(g(z0)), g(g(y1)), z2) -> c1(F(g(z0), g(g(y1)), z2)) F(g(g(z0)), g(y1), g(y2)) -> c1(F(g(z0), g(y1), g(y2))) F(g(g(0)), g(1), z2) -> c1(F(g(0), g(1), z2)) F(g(g(g(y0))), g(y1), z2) -> c1(F(g(g(y0)), g(y1), z2)) F(g(g(z0)), z1, g(g(y2))) -> c1(F(g(z0), z1, g(g(y2)))) F(g(g(0)), 1, g(y0)) -> c1(F(g(0), 1, g(y0))) F(g(g(g(y0))), z1, g(y2)) -> c1(F(g(g(y0)), z1, g(y2))) F(g(g(z0)), g(g(y1)), g(y2)) -> c1(F(g(z0), g(g(y1)), g(y2))) F(g(g(z0)), g(y1), g(g(y2))) -> c1(F(g(z0), g(y1), g(g(y2)))) F(g(g(0)), g(1), g(y0)) -> c1(F(g(0), g(1), g(y0))) F(g(g(g(y0))), g(y1), g(y2)) -> c1(F(g(g(y0)), g(y1), g(y2))) F(g(0), g(1), z2) -> c1(F(0, g(1), z2)) F(g(z0), g(g(y1)), z2) -> c1(F(z0, g(g(y1)), z2)) F(g(z0), g(z1), g(y2)) -> c1(F(z0, g(z1), g(y2))) F(g(z0), g(z1), g(g(y2))) -> c1(F(z0, g(z1), g(g(y2)))) F(g(0), g(1), g(y0)) -> c1(F(0, g(1), g(y0))) F(g(z0), g(g(y1)), g(y2)) -> c1(F(z0, g(g(y1)), g(y2))) F(g(g(g(g(y0)))), g(z1), z2) -> c1(F(g(g(g(y0))), g(z1), z2)) F(g(g(g(y0))), g(g(y1)), z2) -> c1(F(g(g(y0)), g(g(y1)), z2)) F(g(g(g(0))), g(1), z2) -> c1(F(g(g(0)), g(1), z2)) F(g(g(g(y0))), g(z1), g(g(y2))) -> c1(F(g(g(y0)), g(z1), g(g(y2)))) F(g(g(g(g(y0)))), g(z1), g(y2)) -> c1(F(g(g(g(y0))), g(z1), g(y2))) F(g(g(g(y0))), g(g(y1)), g(y2)) -> c1(F(g(g(y0)), g(g(y1)), g(y2))) F(g(g(g(0))), g(1), g(y0)) -> c1(F(g(g(0)), g(1), g(y0))) F(0, 1, g(y2)) -> c(F(g(g(y2)), g(g(y2)), g(y2))) F(0, 1, g(g(y2))) -> c(F(g(g(g(y2))), g(g(g(y2))), g(g(y2)))) F(0, 1, g(g(g(y0)))) -> c(F(g(g(g(g(y0)))), g(g(g(g(y0)))), g(g(g(y0))))) F(g(0), 1, g(y0)) -> c1(F(0, 1, g(y0))) F(g(0), 1, g(g(y2))) -> c1(F(0, 1, g(g(y2)))) F(g(0), 1, g(g(g(y0)))) -> c1(F(0, 1, g(g(g(y0))))) F(g(z0), z1, g(g(y2))) -> c1(F(z0, z1, g(g(y2)))) F(g(g(g(0))), 1, g(z2)) -> c1(F(g(g(0)), 1, g(z2))) F(g(g(g(g(y0)))), z1, g(z2)) -> c1(F(g(g(g(y0))), z1, g(z2))) F(g(g(g(y0))), z1, g(g(y2))) -> c1(F(g(g(y0)), z1, g(g(y2)))) F(g(g(g(g(g(y0))))), g(y1), g(z2)) -> c1(F(g(g(g(g(y0)))), g(y1), g(z2))) F(g(g(g(g(y0)))), g(g(y1)), g(z2)) -> c1(F(g(g(g(y0))), g(g(y1)), g(z2))) F(g(g(g(g(0)))), g(1), g(z2)) -> c1(F(g(g(g(0))), g(1), g(z2))) F(g(g(g(g(y0)))), g(y1), g(g(y2))) -> c1(F(g(g(g(y0))), g(y1), g(g(y2)))) F(g(g(0)), 1, g(g(y0))) -> c1(F(g(0), 1, g(g(y0)))) F(g(g(0)), 1, g(g(g(y0)))) -> c1(F(g(0), 1, g(g(g(y0))))) F(0, g(1), g(y0)) -> c2(F(0, 1, g(y0))) F(0, g(1), g(g(y2))) -> c2(F(0, 1, g(g(y2)))) F(0, g(1), g(g(g(y0)))) -> c2(F(0, 1, g(g(g(y0))))) F(z0, g(g(g(y1))), z2) -> c2(F(z0, g(g(y1)), z2)) F(z0, g(g(z1)), g(y2)) -> c2(F(z0, g(z1), g(y2))) F(g(0), g(g(1)), z2) -> c2(F(g(0), g(1), z2)) F(g(g(y0)), g(g(z1)), z2) -> c2(F(g(g(y0)), g(z1), z2)) F(g(y0), g(g(g(y1))), z2) -> c2(F(g(y0), g(g(y1)), z2)) F(g(y0), g(g(z1)), g(y2)) -> c2(F(g(y0), g(z1), g(y2))) F(z0, g(g(z1)), g(g(y2))) -> c2(F(z0, g(z1), g(g(y2)))) F(g(g(y0)), g(g(z1)), g(y2)) -> c2(F(g(g(y0)), g(z1), g(y2))) F(g(y0), g(g(z1)), g(g(y2))) -> c2(F(g(y0), g(z1), g(g(y2)))) F(0, g(g(1)), g(y0)) -> c2(F(0, g(1), g(y0))) F(z0, g(g(g(y1))), g(y2)) -> c2(F(z0, g(g(y1)), g(y2))) F(g(0), g(g(1)), g(y0)) -> c2(F(g(0), g(1), g(y0))) F(g(y0), g(g(g(y1))), g(y2)) -> c2(F(g(y0), g(g(y1)), g(y2))) F(g(g(g(y0))), g(g(z1)), z2) -> c2(F(g(g(g(y0))), g(z1), z2)) F(g(g(y0)), g(g(g(y1))), z2) -> c2(F(g(g(y0)), g(g(y1)), z2)) F(g(g(0)), g(g(1)), z2) -> c2(F(g(g(0)), g(1), z2)) F(g(g(y0)), g(g(z1)), g(g(y2))) -> c2(F(g(g(y0)), g(z1), g(g(y2)))) F(g(g(g(y0))), g(g(z1)), g(y2)) -> c2(F(g(g(g(y0))), g(z1), g(y2))) F(g(g(y0)), g(g(g(y1))), g(y2)) -> c2(F(g(g(y0)), g(g(y1)), g(y2))) F(g(g(0)), g(g(1)), g(y0)) -> c2(F(g(g(0)), g(1), g(y0))) F(g(g(g(g(y0)))), g(g(z1)), z2) -> c2(F(g(g(g(g(y0)))), g(z1), z2)) F(g(g(g(y0))), g(g(g(y1))), z2) -> c2(F(g(g(g(y0))), g(g(y1)), z2)) F(g(g(g(0))), g(g(1)), z2) -> c2(F(g(g(g(0))), g(1), z2)) F(g(g(g(y0))), g(g(z1)), g(g(y2))) -> c2(F(g(g(g(y0))), g(z1), g(g(y2)))) F(g(g(g(g(y0)))), g(g(z1)), g(y2)) -> c2(F(g(g(g(g(y0)))), g(z1), g(y2))) F(g(g(g(y0))), g(g(g(y1))), g(y2)) -> c2(F(g(g(g(y0))), g(g(y1)), g(y2))) F(g(g(g(0))), g(g(1)), g(y0)) -> c2(F(g(g(g(0))), g(1), g(y0))) F(g(g(g(g(g(y0))))), g(g(z1)), g(y2)) -> c2(F(g(g(g(g(g(y0))))), g(z1), g(y2))) F(g(g(g(g(y0)))), g(g(g(y1))), g(y2)) -> c2(F(g(g(g(g(y0)))), g(g(y1)), g(y2))) F(g(g(g(g(0)))), g(g(1)), g(y0)) -> c2(F(g(g(g(g(0)))), g(1), g(y0))) F(g(g(g(g(y0)))), g(g(z1)), g(g(y2))) -> c2(F(g(g(g(g(y0)))), g(z1), g(g(y2)))) F(0, g(g(1)), g(g(y0))) -> c2(F(0, g(1), g(g(y0)))) F(0, g(g(1)), g(g(g(y0)))) -> c2(F(0, g(1), g(g(g(y0))))) F(z0, g(z1), g(g(y2))) -> c2(F(z0, z1, g(g(y2)))) F(g(0), g(1), g(z2)) -> c2(F(g(0), 1, g(z2))) F(g(g(y0)), g(z1), g(z2)) -> c2(F(g(g(y0)), z1, g(z2))) F(g(y0), g(z1), g(g(y2))) -> c2(F(g(y0), z1, g(g(y2)))) F(g(g(0)), g(1), g(z2)) -> c2(F(g(g(0)), 1, g(z2))) F(g(g(g(y0))), g(z1), g(z2)) -> c2(F(g(g(g(y0))), z1, g(z2))) F(g(g(y0)), g(z1), g(g(y2))) -> c2(F(g(g(y0)), z1, g(g(y2)))) F(g(0), g(1), g(g(y0))) -> c2(F(g(0), 1, g(g(y0)))) F(g(0), g(1), g(g(g(y0)))) -> c2(F(g(0), 1, g(g(g(y0))))) F(g(g(g(0))), g(1), g(z2)) -> c2(F(g(g(g(0))), 1, g(z2))) F(g(g(g(g(y0)))), g(z1), g(z2)) -> c2(F(g(g(g(g(y0)))), z1, g(z2))) F(g(g(g(y0))), g(z1), g(g(y2))) -> c2(F(g(g(g(y0))), z1, g(g(y2)))) F(g(g(0)), g(1), g(g(y0))) -> c2(F(g(g(0)), 1, g(g(y0)))) F(g(g(0)), g(1), g(g(g(y0)))) -> c2(F(g(g(0)), 1, g(g(g(y0))))) F(z0, g(g(g(g(y1)))), g(z2)) -> c2(F(z0, g(g(g(y1))), g(z2))) F(g(0), g(g(g(1))), g(z2)) -> c2(F(g(0), g(g(1)), g(z2))) F(g(y0), g(g(g(g(y1)))), g(z2)) -> c2(F(g(y0), g(g(g(y1))), g(z2))) F(z0, g(g(g(y1))), g(g(y2))) -> c2(F(z0, g(g(y1)), g(g(y2)))) F(g(y0), g(g(g(y1))), g(g(y2))) -> c2(F(g(y0), g(g(y1)), g(g(y2)))) F(0, g(g(g(1))), g(z2)) -> c2(F(0, g(g(1)), g(z2))) F(g(g(y0)), g(g(g(g(y1)))), g(z2)) -> c2(F(g(g(y0)), g(g(g(y1))), g(z2))) F(g(g(0)), g(g(g(1))), g(z2)) -> c2(F(g(g(0)), g(g(1)), g(z2))) F(g(g(y0)), g(g(g(y1))), g(g(y2))) -> c2(F(g(g(y0)), g(g(y1)), g(g(y2)))) F(g(g(g(y0))), g(g(g(g(y1)))), g(z2)) -> c2(F(g(g(g(y0))), g(g(g(y1))), g(z2))) F(g(g(g(0))), g(g(g(1))), g(z2)) -> c2(F(g(g(g(0))), g(g(1)), g(z2))) F(g(g(g(y0))), g(g(g(y1))), g(g(y2))) -> c2(F(g(g(g(y0))), g(g(y1)), g(g(y2)))) F(g(g(g(g(g(y0))))), g(g(g(y1))), g(z2)) -> c2(F(g(g(g(g(g(y0))))), g(g(y1)), g(z2))) F(g(g(g(g(y0)))), g(g(g(g(y1)))), g(z2)) -> c2(F(g(g(g(g(y0)))), g(g(g(y1))), g(z2))) F(g(g(g(g(0)))), g(g(g(1))), g(z2)) -> c2(F(g(g(g(g(0)))), g(g(1)), g(z2))) F(g(g(g(g(y0)))), g(g(g(y1))), g(g(y2))) -> c2(F(g(g(g(g(y0)))), g(g(y1)), g(g(y2)))) F(0, g(g(g(1))), g(g(y0))) -> c2(F(0, g(g(1)), g(g(y0)))) F(0, g(g(g(1))), g(g(g(y0)))) -> c2(F(0, g(g(1)), g(g(g(y0))))) F(g(g(0)), g(1), z2) -> c2(F(g(g(0)), 1, z2)) F(g(g(g(y0))), g(z1), z2) -> c2(F(g(g(g(y0))), z1, z2)) F(g(g(z0)), g(g(g(g(y1)))), z2) -> c2(F(g(g(z0)), g(g(g(y1))), z2)) F(g(g(0)), g(g(g(1))), z2) -> c2(F(g(g(0)), g(g(1)), z2)) F(g(g(g(g(y0)))), g(g(g(y1))), z2) -> c2(F(g(g(g(g(y0)))), g(g(y1)), z2)) F(g(g(g(y0))), g(g(g(g(y1)))), z2) -> c2(F(g(g(g(y0))), g(g(g(y1))), z2)) F(g(g(g(0))), g(g(g(1))), z2) -> c2(F(g(g(g(0))), g(g(1)), z2)) F(g(g(0)), g(g(1)), g(g(y0))) -> c2(F(g(g(0)), g(1), g(g(y0)))) F(g(g(0)), g(g(1)), g(g(g(y0)))) -> c2(F(g(g(0)), g(1), g(g(g(y0))))) F(g(g(z0)), g(g(g(g(g(y1))))), g(y2)) -> c2(F(g(g(z0)), g(g(g(g(y1)))), g(y2))) F(g(g(z0)), g(g(g(g(y1)))), g(g(y2))) -> c2(F(g(g(z0)), g(g(g(y1))), g(g(y2)))) F(g(g(0)), g(g(g(g(1)))), g(y0)) -> c2(F(g(g(0)), g(g(g(1))), g(y0))) F(g(g(g(y0))), g(g(g(g(g(y1))))), g(y2)) -> c2(F(g(g(g(y0))), g(g(g(g(y1)))), g(y2))) F(g(g(g(0))), g(g(g(g(1)))), g(y0)) -> c2(F(g(g(g(0))), g(g(g(1))), g(y0))) F(g(g(g(y0))), g(g(g(g(y1)))), g(g(y2))) -> c2(F(g(g(g(y0))), g(g(g(y1))), g(g(y2)))) F(g(g(g(g(g(y0))))), g(g(g(g(y1)))), g(y2)) -> c2(F(g(g(g(g(g(y0))))), g(g(g(y1))), g(y2))) F(g(g(g(g(y0)))), g(g(g(g(g(y1))))), g(y2)) -> c2(F(g(g(g(g(y0)))), g(g(g(g(y1)))), g(y2))) F(g(g(g(g(0)))), g(g(g(g(1)))), g(y0)) -> c2(F(g(g(g(g(0)))), g(g(g(1))), g(y0))) F(g(g(g(g(y0)))), g(g(g(g(y1)))), g(g(y2))) -> c2(F(g(g(g(g(y0)))), g(g(g(y1))), g(g(y2)))) F(g(z0), g(g(g(g(y1)))), z2) -> c2(F(g(z0), g(g(g(y1))), z2)) F(g(0), g(g(g(1))), z2) -> c2(F(g(0), g(g(1)), z2)) F(g(0), g(g(1)), g(g(y0))) -> c2(F(g(0), g(1), g(g(y0)))) F(g(0), g(g(1)), g(g(g(y0)))) -> c2(F(g(0), g(1), g(g(g(y0))))) F(g(z0), g(g(g(g(g(y1))))), g(y2)) -> c2(F(g(z0), g(g(g(g(y1)))), g(y2))) F(g(0), g(g(g(g(1)))), g(y0)) -> c2(F(g(0), g(g(g(1))), g(y0))) F(g(z0), g(g(g(g(y1)))), g(g(y2))) -> c2(F(g(z0), g(g(g(y1))), g(g(y2)))) F(g(g(y0)), g(g(g(g(g(y1))))), z2) -> c2(F(g(g(y0)), g(g(g(g(y1)))), z2)) F(g(g(0)), g(g(g(g(1)))), z2) -> c2(F(g(g(0)), g(g(g(1))), z2)) F(g(g(g(g(y0)))), g(g(g(g(y1)))), z2) -> c2(F(g(g(g(g(y0)))), g(g(g(y1))), z2)) F(g(g(g(y0))), g(g(g(g(g(y1))))), z2) -> c2(F(g(g(g(y0))), g(g(g(g(y1)))), z2)) F(g(g(g(0))), g(g(g(g(1)))), z2) -> c2(F(g(g(g(0))), g(g(g(1))), z2)) F(g(g(0)), g(g(g(1))), g(g(y0))) -> c2(F(g(g(0)), g(g(1)), g(g(y0)))) F(g(g(0)), g(g(g(1))), g(g(g(y0)))) -> c2(F(g(g(0)), g(g(1)), g(g(g(y0))))) F(g(g(y0)), g(g(g(g(g(g(y1)))))), g(y2)) -> c2(F(g(g(y0)), g(g(g(g(g(y1))))), g(y2))) F(g(g(y0)), g(g(g(g(g(y1))))), g(g(y2))) -> c2(F(g(g(y0)), g(g(g(g(y1)))), g(g(y2)))) F(g(g(0)), g(g(g(g(g(1))))), g(y0)) -> c2(F(g(g(0)), g(g(g(g(1)))), g(y0))) F(g(g(g(y0))), g(g(g(g(g(g(y1)))))), g(y2)) -> c2(F(g(g(g(y0))), g(g(g(g(g(y1))))), g(y2))) F(g(g(g(0))), g(g(g(g(g(1))))), g(y0)) -> c2(F(g(g(g(0))), g(g(g(g(1)))), g(y0))) F(g(g(g(y0))), g(g(g(g(g(y1))))), g(g(y2))) -> c2(F(g(g(g(y0))), g(g(g(g(y1)))), g(g(y2)))) F(g(g(g(g(g(y0))))), g(g(g(g(g(y1))))), g(y2)) -> c2(F(g(g(g(g(g(y0))))), g(g(g(g(y1)))), g(y2))) F(g(g(g(g(y0)))), g(g(g(g(g(g(y1)))))), g(y2)) -> c2(F(g(g(g(g(y0)))), g(g(g(g(g(y1))))), g(y2))) F(g(g(g(g(0)))), g(g(g(g(g(1))))), g(y0)) -> c2(F(g(g(g(g(0)))), g(g(g(g(1)))), g(y0))) F(g(g(g(g(y0)))), g(g(g(g(g(y1))))), g(g(y2))) -> c2(F(g(g(g(g(y0)))), g(g(g(g(y1)))), g(g(y2)))) F(g(0), g(g(g(1))), g(g(y0))) -> c2(F(g(0), g(g(1)), g(g(y0)))) F(g(0), g(g(g(1))), g(g(g(y0)))) -> c2(F(g(0), g(g(1)), g(g(g(y0))))) F(g(z0), g(g(g(g(g(g(y1)))))), g(z2)) -> c2(F(g(z0), g(g(g(g(g(y1))))), g(z2))) F(g(0), g(g(g(g(g(1))))), g(z2)) -> c2(F(g(0), g(g(g(g(1)))), g(z2))) F(g(z0), g(g(g(g(g(y1))))), g(g(y2))) -> c2(F(g(z0), g(g(g(g(y1)))), g(g(y2)))) F(g(g(0)), g(g(g(g(1)))), g(g(y0))) -> c2(F(g(g(0)), g(g(g(1))), g(g(y0)))) F(g(g(0)), g(g(g(g(1)))), g(g(g(y0)))) -> c2(F(g(g(0)), g(g(g(1))), g(g(g(y0))))) F(g(g(y0)), g(g(g(g(g(g(g(y1))))))), g(z2)) -> c2(F(g(g(y0)), g(g(g(g(g(g(y1)))))), g(z2))) F(g(g(y0)), g(g(g(g(g(g(y1)))))), g(g(y2))) -> c2(F(g(g(y0)), g(g(g(g(g(y1))))), g(g(y2)))) F(g(g(0)), g(g(g(g(g(g(1)))))), g(z2)) -> c2(F(g(g(0)), g(g(g(g(g(1))))), g(z2))) F(g(g(g(y0))), g(g(g(g(g(g(g(y1))))))), g(z2)) -> c2(F(g(g(g(y0))), g(g(g(g(g(g(y1)))))), g(z2))) F(g(g(g(0))), g(g(g(g(g(g(1)))))), g(z2)) -> c2(F(g(g(g(0))), g(g(g(g(g(1))))), g(z2))) F(g(g(g(y0))), g(g(g(g(g(g(y1)))))), g(g(y2))) -> c2(F(g(g(g(y0))), g(g(g(g(g(y1))))), g(g(y2)))) F(g(g(g(g(g(y0))))), g(g(g(g(g(g(y1)))))), g(z2)) -> c2(F(g(g(g(g(g(y0))))), g(g(g(g(g(y1))))), g(z2))) F(g(g(g(g(y0)))), g(g(g(g(g(g(g(y1))))))), g(z2)) -> c2(F(g(g(g(g(y0)))), g(g(g(g(g(g(y1)))))), g(z2))) F(g(g(g(g(0)))), g(g(g(g(g(g(1)))))), g(z2)) -> c2(F(g(g(g(g(0)))), g(g(g(g(g(1))))), g(z2))) F(g(g(g(g(y0)))), g(g(g(g(g(g(y1)))))), g(g(y2))) -> c2(F(g(g(g(g(y0)))), g(g(g(g(g(y1))))), g(g(y2)))) K tuples: F(0, 1, g(z2)) -> c3(F(0, 1, z2)) F(z0, z1, g(g(y2))) -> c3(F(z0, z1, g(y2))) F(g(0), 1, g(z2)) -> c3(F(g(0), 1, z2)) F(g(g(y0)), z1, g(z2)) -> c3(F(g(g(y0)), z1, z2)) F(g(y0), g(y1), g(z2)) -> c3(F(g(y0), g(y1), z2)) F(g(y0), z1, g(g(y2))) -> c3(F(g(y0), z1, g(y2))) F(0, g(1), g(z2)) -> c3(F(0, g(1), z2)) F(z0, g(g(y1)), g(z2)) -> c3(F(z0, g(g(y1)), z2)) F(z0, g(y1), g(g(y2))) -> c3(F(z0, g(y1), g(y2))) F(g(0), g(1), g(z2)) -> c3(F(g(0), g(1), z2)) F(g(g(y0)), g(y1), g(z2)) -> c3(F(g(g(y0)), g(y1), z2)) F(g(y0), g(g(y1)), g(z2)) -> c3(F(g(y0), g(g(y1)), z2)) F(g(y0), g(y1), g(g(y2))) -> c3(F(g(y0), g(y1), g(y2))) Defined Rule Symbols:none Defined Pair Symbols: F_3 Compound Symbols: c3_1, c1_1, c_1, c2_1 ---------------------------------------- (65) CdtForwardInstantiationProof (BOTH BOUNDS(ID, ID)) Use forward instantiation to replace F(0, 1, g(z2)) -> c3(F(0, 1, z2)) by F(0, 1, g(g(y0))) -> c3(F(0, 1, g(y0))) F(0, 1, g(g(g(y2)))) -> c3(F(0, 1, g(g(y2)))) F(0, 1, g(g(g(g(y0))))) -> c3(F(0, 1, g(g(g(y0))))) ---------------------------------------- (66) Obligation: Complexity Dependency Tuples Problem Rules:none Tuples: F(z0, z1, g(g(y2))) -> c3(F(z0, z1, g(y2))) F(g(0), 1, g(z2)) -> c3(F(g(0), 1, z2)) F(g(g(y0)), z1, g(z2)) -> c3(F(g(g(y0)), z1, z2)) F(g(y0), g(y1), g(z2)) -> c3(F(g(y0), g(y1), z2)) F(g(y0), z1, g(g(y2))) -> c3(F(g(y0), z1, g(y2))) F(0, g(1), g(z2)) -> c3(F(0, g(1), z2)) F(z0, g(g(y1)), g(z2)) -> c3(F(z0, g(g(y1)), z2)) F(z0, g(y1), g(g(y2))) -> c3(F(z0, g(y1), g(y2))) F(g(0), g(1), g(z2)) -> c3(F(g(0), g(1), z2)) F(g(g(y0)), g(y1), g(z2)) -> c3(F(g(g(y0)), g(y1), z2)) F(g(y0), g(g(y1)), g(z2)) -> c3(F(g(y0), g(g(y1)), z2)) F(g(y0), g(y1), g(g(y2))) -> c3(F(g(y0), g(y1), g(y2))) F(g(g(0)), 1, z2) -> c1(F(g(0), 1, z2)) F(g(g(g(y0))), z1, z2) -> c1(F(g(g(y0)), z1, z2)) F(g(g(z0)), g(y1), z2) -> c1(F(g(z0), g(y1), z2)) F(g(g(z0)), z1, g(y2)) -> c1(F(g(z0), z1, g(y2))) F(g(g(z0)), g(g(y1)), z2) -> c1(F(g(z0), g(g(y1)), z2)) F(g(g(z0)), g(y1), g(y2)) -> c1(F(g(z0), g(y1), g(y2))) F(g(g(0)), g(1), z2) -> c1(F(g(0), g(1), z2)) F(g(g(g(y0))), g(y1), z2) -> c1(F(g(g(y0)), g(y1), z2)) F(g(g(z0)), z1, g(g(y2))) -> c1(F(g(z0), z1, g(g(y2)))) F(g(g(0)), 1, g(y0)) -> c1(F(g(0), 1, g(y0))) F(g(g(g(y0))), z1, g(y2)) -> c1(F(g(g(y0)), z1, g(y2))) F(g(g(z0)), g(g(y1)), g(y2)) -> c1(F(g(z0), g(g(y1)), g(y2))) F(g(g(z0)), g(y1), g(g(y2))) -> c1(F(g(z0), g(y1), g(g(y2)))) F(g(g(0)), g(1), g(y0)) -> c1(F(g(0), g(1), g(y0))) F(g(g(g(y0))), g(y1), g(y2)) -> c1(F(g(g(y0)), g(y1), g(y2))) F(g(0), g(1), z2) -> c1(F(0, g(1), z2)) F(g(z0), g(g(y1)), z2) -> c1(F(z0, g(g(y1)), z2)) F(g(z0), g(z1), g(y2)) -> c1(F(z0, g(z1), g(y2))) F(g(z0), g(z1), g(g(y2))) -> c1(F(z0, g(z1), g(g(y2)))) F(g(0), g(1), g(y0)) -> c1(F(0, g(1), g(y0))) F(g(z0), g(g(y1)), g(y2)) -> c1(F(z0, g(g(y1)), g(y2))) F(g(g(g(g(y0)))), g(z1), z2) -> c1(F(g(g(g(y0))), g(z1), z2)) F(g(g(g(y0))), g(g(y1)), z2) -> c1(F(g(g(y0)), g(g(y1)), z2)) F(g(g(g(0))), g(1), z2) -> c1(F(g(g(0)), g(1), z2)) F(g(g(g(y0))), g(z1), g(g(y2))) -> c1(F(g(g(y0)), g(z1), g(g(y2)))) F(g(g(g(g(y0)))), g(z1), g(y2)) -> c1(F(g(g(g(y0))), g(z1), g(y2))) F(g(g(g(y0))), g(g(y1)), g(y2)) -> c1(F(g(g(y0)), g(g(y1)), g(y2))) F(g(g(g(0))), g(1), g(y0)) -> c1(F(g(g(0)), g(1), g(y0))) F(0, 1, g(y2)) -> c(F(g(g(y2)), g(g(y2)), g(y2))) F(0, 1, g(g(y2))) -> c(F(g(g(g(y2))), g(g(g(y2))), g(g(y2)))) F(0, 1, g(g(g(y0)))) -> c(F(g(g(g(g(y0)))), g(g(g(g(y0)))), g(g(g(y0))))) F(g(0), 1, g(y0)) -> c1(F(0, 1, g(y0))) F(g(0), 1, g(g(y2))) -> c1(F(0, 1, g(g(y2)))) F(g(0), 1, g(g(g(y0)))) -> c1(F(0, 1, g(g(g(y0))))) F(g(z0), z1, g(g(y2))) -> c1(F(z0, z1, g(g(y2)))) F(g(g(g(0))), 1, g(z2)) -> c1(F(g(g(0)), 1, g(z2))) F(g(g(g(g(y0)))), z1, g(z2)) -> c1(F(g(g(g(y0))), z1, g(z2))) F(g(g(g(y0))), z1, g(g(y2))) -> c1(F(g(g(y0)), z1, g(g(y2)))) F(g(g(g(g(g(y0))))), g(y1), g(z2)) -> c1(F(g(g(g(g(y0)))), g(y1), g(z2))) F(g(g(g(g(y0)))), g(g(y1)), g(z2)) -> c1(F(g(g(g(y0))), g(g(y1)), g(z2))) F(g(g(g(g(0)))), g(1), g(z2)) -> c1(F(g(g(g(0))), g(1), g(z2))) F(g(g(g(g(y0)))), g(y1), g(g(y2))) -> c1(F(g(g(g(y0))), g(y1), g(g(y2)))) F(g(g(0)), 1, g(g(y0))) -> c1(F(g(0), 1, g(g(y0)))) F(g(g(0)), 1, g(g(g(y0)))) -> c1(F(g(0), 1, g(g(g(y0))))) F(0, g(1), g(y0)) -> c2(F(0, 1, g(y0))) F(0, g(1), g(g(y2))) -> c2(F(0, 1, g(g(y2)))) F(0, g(1), g(g(g(y0)))) -> c2(F(0, 1, g(g(g(y0))))) F(z0, g(g(g(y1))), z2) -> c2(F(z0, g(g(y1)), z2)) F(z0, g(g(z1)), g(y2)) -> c2(F(z0, g(z1), g(y2))) F(g(0), g(g(1)), z2) -> c2(F(g(0), g(1), z2)) F(g(g(y0)), g(g(z1)), z2) -> c2(F(g(g(y0)), g(z1), z2)) F(g(y0), g(g(g(y1))), z2) -> c2(F(g(y0), g(g(y1)), z2)) F(g(y0), g(g(z1)), g(y2)) -> c2(F(g(y0), g(z1), g(y2))) F(z0, g(g(z1)), g(g(y2))) -> c2(F(z0, g(z1), g(g(y2)))) F(g(g(y0)), g(g(z1)), g(y2)) -> c2(F(g(g(y0)), g(z1), g(y2))) F(g(y0), g(g(z1)), g(g(y2))) -> c2(F(g(y0), g(z1), g(g(y2)))) F(0, g(g(1)), g(y0)) -> c2(F(0, g(1), g(y0))) F(z0, g(g(g(y1))), g(y2)) -> c2(F(z0, g(g(y1)), g(y2))) F(g(0), g(g(1)), g(y0)) -> c2(F(g(0), g(1), g(y0))) F(g(y0), g(g(g(y1))), g(y2)) -> c2(F(g(y0), g(g(y1)), g(y2))) F(g(g(g(y0))), g(g(z1)), z2) -> c2(F(g(g(g(y0))), g(z1), z2)) F(g(g(y0)), g(g(g(y1))), z2) -> c2(F(g(g(y0)), g(g(y1)), z2)) F(g(g(0)), g(g(1)), z2) -> c2(F(g(g(0)), g(1), z2)) F(g(g(y0)), g(g(z1)), g(g(y2))) -> c2(F(g(g(y0)), g(z1), g(g(y2)))) F(g(g(g(y0))), g(g(z1)), g(y2)) -> c2(F(g(g(g(y0))), g(z1), g(y2))) F(g(g(y0)), g(g(g(y1))), g(y2)) -> c2(F(g(g(y0)), g(g(y1)), g(y2))) F(g(g(0)), g(g(1)), g(y0)) -> c2(F(g(g(0)), g(1), g(y0))) F(g(g(g(g(y0)))), g(g(z1)), z2) -> c2(F(g(g(g(g(y0)))), g(z1), z2)) F(g(g(g(y0))), g(g(g(y1))), z2) -> c2(F(g(g(g(y0))), g(g(y1)), z2)) F(g(g(g(0))), g(g(1)), z2) -> c2(F(g(g(g(0))), g(1), z2)) F(g(g(g(y0))), g(g(z1)), g(g(y2))) -> c2(F(g(g(g(y0))), g(z1), g(g(y2)))) F(g(g(g(g(y0)))), g(g(z1)), g(y2)) -> c2(F(g(g(g(g(y0)))), g(z1), g(y2))) F(g(g(g(y0))), g(g(g(y1))), g(y2)) -> c2(F(g(g(g(y0))), g(g(y1)), g(y2))) F(g(g(g(0))), g(g(1)), g(y0)) -> c2(F(g(g(g(0))), g(1), g(y0))) F(g(g(g(g(g(y0))))), g(g(z1)), g(y2)) -> c2(F(g(g(g(g(g(y0))))), g(z1), g(y2))) F(g(g(g(g(y0)))), g(g(g(y1))), g(y2)) -> c2(F(g(g(g(g(y0)))), g(g(y1)), g(y2))) F(g(g(g(g(0)))), g(g(1)), g(y0)) -> c2(F(g(g(g(g(0)))), g(1), g(y0))) F(g(g(g(g(y0)))), g(g(z1)), g(g(y2))) -> c2(F(g(g(g(g(y0)))), g(z1), g(g(y2)))) F(0, g(g(1)), g(g(y0))) -> c2(F(0, g(1), g(g(y0)))) F(0, g(g(1)), g(g(g(y0)))) -> c2(F(0, g(1), g(g(g(y0))))) F(z0, g(z1), g(g(y2))) -> c2(F(z0, z1, g(g(y2)))) F(g(0), g(1), g(z2)) -> c2(F(g(0), 1, g(z2))) F(g(g(y0)), g(z1), g(z2)) -> c2(F(g(g(y0)), z1, g(z2))) F(g(y0), g(z1), g(g(y2))) -> c2(F(g(y0), z1, g(g(y2)))) F(g(g(0)), g(1), g(z2)) -> c2(F(g(g(0)), 1, g(z2))) F(g(g(g(y0))), g(z1), g(z2)) -> c2(F(g(g(g(y0))), z1, g(z2))) F(g(g(y0)), g(z1), g(g(y2))) -> c2(F(g(g(y0)), z1, g(g(y2)))) F(g(0), g(1), g(g(y0))) -> c2(F(g(0), 1, g(g(y0)))) F(g(0), g(1), g(g(g(y0)))) -> c2(F(g(0), 1, g(g(g(y0))))) F(g(g(g(0))), g(1), g(z2)) -> c2(F(g(g(g(0))), 1, g(z2))) F(g(g(g(g(y0)))), g(z1), g(z2)) -> c2(F(g(g(g(g(y0)))), z1, g(z2))) F(g(g(g(y0))), g(z1), g(g(y2))) -> c2(F(g(g(g(y0))), z1, g(g(y2)))) F(g(g(0)), g(1), g(g(y0))) -> c2(F(g(g(0)), 1, g(g(y0)))) F(g(g(0)), g(1), g(g(g(y0)))) -> c2(F(g(g(0)), 1, g(g(g(y0))))) F(z0, g(g(g(g(y1)))), g(z2)) -> c2(F(z0, g(g(g(y1))), g(z2))) F(g(0), g(g(g(1))), g(z2)) -> c2(F(g(0), g(g(1)), g(z2))) F(g(y0), g(g(g(g(y1)))), g(z2)) -> c2(F(g(y0), g(g(g(y1))), g(z2))) F(z0, g(g(g(y1))), g(g(y2))) -> c2(F(z0, g(g(y1)), g(g(y2)))) F(g(y0), g(g(g(y1))), g(g(y2))) -> c2(F(g(y0), g(g(y1)), g(g(y2)))) F(0, g(g(g(1))), g(z2)) -> c2(F(0, g(g(1)), g(z2))) F(g(g(y0)), g(g(g(g(y1)))), g(z2)) -> c2(F(g(g(y0)), g(g(g(y1))), g(z2))) F(g(g(0)), g(g(g(1))), g(z2)) -> c2(F(g(g(0)), g(g(1)), g(z2))) F(g(g(y0)), g(g(g(y1))), g(g(y2))) -> c2(F(g(g(y0)), g(g(y1)), g(g(y2)))) F(g(g(g(y0))), g(g(g(g(y1)))), g(z2)) -> c2(F(g(g(g(y0))), g(g(g(y1))), g(z2))) F(g(g(g(0))), g(g(g(1))), g(z2)) -> c2(F(g(g(g(0))), g(g(1)), g(z2))) F(g(g(g(y0))), g(g(g(y1))), g(g(y2))) -> c2(F(g(g(g(y0))), g(g(y1)), g(g(y2)))) F(g(g(g(g(g(y0))))), g(g(g(y1))), g(z2)) -> c2(F(g(g(g(g(g(y0))))), g(g(y1)), g(z2))) F(g(g(g(g(y0)))), g(g(g(g(y1)))), g(z2)) -> c2(F(g(g(g(g(y0)))), g(g(g(y1))), g(z2))) F(g(g(g(g(0)))), g(g(g(1))), g(z2)) -> c2(F(g(g(g(g(0)))), g(g(1)), g(z2))) F(g(g(g(g(y0)))), g(g(g(y1))), g(g(y2))) -> c2(F(g(g(g(g(y0)))), g(g(y1)), g(g(y2)))) F(0, g(g(g(1))), g(g(y0))) -> c2(F(0, g(g(1)), g(g(y0)))) F(0, g(g(g(1))), g(g(g(y0)))) -> c2(F(0, g(g(1)), g(g(g(y0))))) F(g(g(0)), g(1), z2) -> c2(F(g(g(0)), 1, z2)) F(g(g(g(y0))), g(z1), z2) -> c2(F(g(g(g(y0))), z1, z2)) F(g(g(z0)), g(g(g(g(y1)))), z2) -> c2(F(g(g(z0)), g(g(g(y1))), z2)) F(g(g(0)), g(g(g(1))), z2) -> c2(F(g(g(0)), g(g(1)), z2)) F(g(g(g(g(y0)))), g(g(g(y1))), z2) -> c2(F(g(g(g(g(y0)))), g(g(y1)), z2)) F(g(g(g(y0))), g(g(g(g(y1)))), z2) -> c2(F(g(g(g(y0))), g(g(g(y1))), z2)) F(g(g(g(0))), g(g(g(1))), z2) -> c2(F(g(g(g(0))), g(g(1)), z2)) F(g(g(0)), g(g(1)), g(g(y0))) -> c2(F(g(g(0)), g(1), g(g(y0)))) F(g(g(0)), g(g(1)), g(g(g(y0)))) -> c2(F(g(g(0)), g(1), g(g(g(y0))))) F(g(g(z0)), g(g(g(g(g(y1))))), g(y2)) -> c2(F(g(g(z0)), g(g(g(g(y1)))), g(y2))) F(g(g(z0)), g(g(g(g(y1)))), g(g(y2))) -> c2(F(g(g(z0)), g(g(g(y1))), g(g(y2)))) F(g(g(0)), g(g(g(g(1)))), g(y0)) -> c2(F(g(g(0)), g(g(g(1))), g(y0))) F(g(g(g(y0))), g(g(g(g(g(y1))))), g(y2)) -> c2(F(g(g(g(y0))), g(g(g(g(y1)))), g(y2))) F(g(g(g(0))), g(g(g(g(1)))), g(y0)) -> c2(F(g(g(g(0))), g(g(g(1))), g(y0))) F(g(g(g(y0))), g(g(g(g(y1)))), g(g(y2))) -> c2(F(g(g(g(y0))), g(g(g(y1))), g(g(y2)))) F(g(g(g(g(g(y0))))), g(g(g(g(y1)))), g(y2)) -> c2(F(g(g(g(g(g(y0))))), g(g(g(y1))), g(y2))) F(g(g(g(g(y0)))), g(g(g(g(g(y1))))), g(y2)) -> c2(F(g(g(g(g(y0)))), g(g(g(g(y1)))), g(y2))) F(g(g(g(g(0)))), g(g(g(g(1)))), g(y0)) -> c2(F(g(g(g(g(0)))), g(g(g(1))), g(y0))) F(g(g(g(g(y0)))), g(g(g(g(y1)))), g(g(y2))) -> c2(F(g(g(g(g(y0)))), g(g(g(y1))), g(g(y2)))) F(g(z0), g(g(g(g(y1)))), z2) -> c2(F(g(z0), g(g(g(y1))), z2)) F(g(0), g(g(g(1))), z2) -> c2(F(g(0), g(g(1)), z2)) F(g(0), g(g(1)), g(g(y0))) -> c2(F(g(0), g(1), g(g(y0)))) F(g(0), g(g(1)), g(g(g(y0)))) -> c2(F(g(0), g(1), g(g(g(y0))))) F(g(z0), g(g(g(g(g(y1))))), g(y2)) -> c2(F(g(z0), g(g(g(g(y1)))), g(y2))) F(g(0), g(g(g(g(1)))), g(y0)) -> c2(F(g(0), g(g(g(1))), g(y0))) F(g(z0), g(g(g(g(y1)))), g(g(y2))) -> c2(F(g(z0), g(g(g(y1))), g(g(y2)))) F(g(g(y0)), g(g(g(g(g(y1))))), z2) -> c2(F(g(g(y0)), g(g(g(g(y1)))), z2)) F(g(g(0)), g(g(g(g(1)))), z2) -> c2(F(g(g(0)), g(g(g(1))), z2)) F(g(g(g(g(y0)))), g(g(g(g(y1)))), z2) -> c2(F(g(g(g(g(y0)))), g(g(g(y1))), z2)) F(g(g(g(y0))), g(g(g(g(g(y1))))), z2) -> c2(F(g(g(g(y0))), g(g(g(g(y1)))), z2)) F(g(g(g(0))), g(g(g(g(1)))), z2) -> c2(F(g(g(g(0))), g(g(g(1))), z2)) F(g(g(0)), g(g(g(1))), g(g(y0))) -> c2(F(g(g(0)), g(g(1)), g(g(y0)))) F(g(g(0)), g(g(g(1))), g(g(g(y0)))) -> c2(F(g(g(0)), g(g(1)), g(g(g(y0))))) F(g(g(y0)), g(g(g(g(g(g(y1)))))), g(y2)) -> c2(F(g(g(y0)), g(g(g(g(g(y1))))), g(y2))) F(g(g(y0)), g(g(g(g(g(y1))))), g(g(y2))) -> c2(F(g(g(y0)), g(g(g(g(y1)))), g(g(y2)))) F(g(g(0)), g(g(g(g(g(1))))), g(y0)) -> c2(F(g(g(0)), g(g(g(g(1)))), g(y0))) F(g(g(g(y0))), g(g(g(g(g(g(y1)))))), g(y2)) -> c2(F(g(g(g(y0))), g(g(g(g(g(y1))))), g(y2))) F(g(g(g(0))), g(g(g(g(g(1))))), g(y0)) -> c2(F(g(g(g(0))), g(g(g(g(1)))), g(y0))) F(g(g(g(y0))), g(g(g(g(g(y1))))), g(g(y2))) -> c2(F(g(g(g(y0))), g(g(g(g(y1)))), g(g(y2)))) F(g(g(g(g(g(y0))))), g(g(g(g(g(y1))))), g(y2)) -> c2(F(g(g(g(g(g(y0))))), g(g(g(g(y1)))), g(y2))) F(g(g(g(g(y0)))), g(g(g(g(g(g(y1)))))), g(y2)) -> c2(F(g(g(g(g(y0)))), g(g(g(g(g(y1))))), g(y2))) F(g(g(g(g(0)))), g(g(g(g(g(1))))), g(y0)) -> c2(F(g(g(g(g(0)))), g(g(g(g(1)))), g(y0))) F(g(g(g(g(y0)))), g(g(g(g(g(y1))))), g(g(y2))) -> c2(F(g(g(g(g(y0)))), g(g(g(g(y1)))), g(g(y2)))) F(g(0), g(g(g(1))), g(g(y0))) -> c2(F(g(0), g(g(1)), g(g(y0)))) F(g(0), g(g(g(1))), g(g(g(y0)))) -> c2(F(g(0), g(g(1)), g(g(g(y0))))) F(g(z0), g(g(g(g(g(g(y1)))))), g(z2)) -> c2(F(g(z0), g(g(g(g(g(y1))))), g(z2))) F(g(0), g(g(g(g(g(1))))), g(z2)) -> c2(F(g(0), g(g(g(g(1)))), g(z2))) F(g(z0), g(g(g(g(g(y1))))), g(g(y2))) -> c2(F(g(z0), g(g(g(g(y1)))), g(g(y2)))) F(g(g(0)), g(g(g(g(1)))), g(g(y0))) -> c2(F(g(g(0)), g(g(g(1))), g(g(y0)))) F(g(g(0)), g(g(g(g(1)))), g(g(g(y0)))) -> c2(F(g(g(0)), g(g(g(1))), g(g(g(y0))))) F(g(g(y0)), g(g(g(g(g(g(g(y1))))))), g(z2)) -> c2(F(g(g(y0)), g(g(g(g(g(g(y1)))))), g(z2))) F(g(g(y0)), g(g(g(g(g(g(y1)))))), g(g(y2))) -> c2(F(g(g(y0)), g(g(g(g(g(y1))))), g(g(y2)))) F(g(g(0)), g(g(g(g(g(g(1)))))), g(z2)) -> c2(F(g(g(0)), g(g(g(g(g(1))))), g(z2))) F(g(g(g(y0))), g(g(g(g(g(g(g(y1))))))), g(z2)) -> c2(F(g(g(g(y0))), g(g(g(g(g(g(y1)))))), g(z2))) F(g(g(g(0))), g(g(g(g(g(g(1)))))), g(z2)) -> c2(F(g(g(g(0))), g(g(g(g(g(1))))), g(z2))) F(g(g(g(y0))), g(g(g(g(g(g(y1)))))), g(g(y2))) -> c2(F(g(g(g(y0))), g(g(g(g(g(y1))))), g(g(y2)))) F(g(g(g(g(g(y0))))), g(g(g(g(g(g(y1)))))), g(z2)) -> c2(F(g(g(g(g(g(y0))))), g(g(g(g(g(y1))))), g(z2))) F(g(g(g(g(y0)))), g(g(g(g(g(g(g(y1))))))), g(z2)) -> c2(F(g(g(g(g(y0)))), g(g(g(g(g(g(y1)))))), g(z2))) F(g(g(g(g(0)))), g(g(g(g(g(g(1)))))), g(z2)) -> c2(F(g(g(g(g(0)))), g(g(g(g(g(1))))), g(z2))) F(g(g(g(g(y0)))), g(g(g(g(g(g(y1)))))), g(g(y2))) -> c2(F(g(g(g(g(y0)))), g(g(g(g(g(y1))))), g(g(y2)))) F(0, 1, g(g(y0))) -> c3(F(0, 1, g(y0))) F(0, 1, g(g(g(y2)))) -> c3(F(0, 1, g(g(y2)))) F(0, 1, g(g(g(g(y0))))) -> c3(F(0, 1, g(g(g(y0))))) S tuples: F(g(g(0)), 1, z2) -> c1(F(g(0), 1, z2)) F(g(g(g(y0))), z1, z2) -> c1(F(g(g(y0)), z1, z2)) F(g(g(z0)), g(y1), z2) -> c1(F(g(z0), g(y1), z2)) F(g(g(z0)), z1, g(y2)) -> c1(F(g(z0), z1, g(y2))) F(g(g(z0)), g(g(y1)), z2) -> c1(F(g(z0), g(g(y1)), z2)) F(g(g(z0)), g(y1), g(y2)) -> c1(F(g(z0), g(y1), g(y2))) F(g(g(0)), g(1), z2) -> c1(F(g(0), g(1), z2)) F(g(g(g(y0))), g(y1), z2) -> c1(F(g(g(y0)), g(y1), z2)) F(g(g(z0)), z1, g(g(y2))) -> c1(F(g(z0), z1, g(g(y2)))) F(g(g(0)), 1, g(y0)) -> c1(F(g(0), 1, g(y0))) F(g(g(g(y0))), z1, g(y2)) -> c1(F(g(g(y0)), z1, g(y2))) F(g(g(z0)), g(g(y1)), g(y2)) -> c1(F(g(z0), g(g(y1)), g(y2))) F(g(g(z0)), g(y1), g(g(y2))) -> c1(F(g(z0), g(y1), g(g(y2)))) F(g(g(0)), g(1), g(y0)) -> c1(F(g(0), g(1), g(y0))) F(g(g(g(y0))), g(y1), g(y2)) -> c1(F(g(g(y0)), g(y1), g(y2))) F(g(0), g(1), z2) -> c1(F(0, g(1), z2)) F(g(z0), g(g(y1)), z2) -> c1(F(z0, g(g(y1)), z2)) F(g(z0), g(z1), g(y2)) -> c1(F(z0, g(z1), g(y2))) F(g(z0), g(z1), g(g(y2))) -> c1(F(z0, g(z1), g(g(y2)))) F(g(0), g(1), g(y0)) -> c1(F(0, g(1), g(y0))) F(g(z0), g(g(y1)), g(y2)) -> c1(F(z0, g(g(y1)), g(y2))) F(g(g(g(g(y0)))), g(z1), z2) -> c1(F(g(g(g(y0))), g(z1), z2)) F(g(g(g(y0))), g(g(y1)), z2) -> c1(F(g(g(y0)), g(g(y1)), z2)) F(g(g(g(0))), g(1), z2) -> c1(F(g(g(0)), g(1), z2)) F(g(g(g(y0))), g(z1), g(g(y2))) -> c1(F(g(g(y0)), g(z1), g(g(y2)))) F(g(g(g(g(y0)))), g(z1), g(y2)) -> c1(F(g(g(g(y0))), g(z1), g(y2))) F(g(g(g(y0))), g(g(y1)), g(y2)) -> c1(F(g(g(y0)), g(g(y1)), g(y2))) F(g(g(g(0))), g(1), g(y0)) -> c1(F(g(g(0)), g(1), g(y0))) F(0, 1, g(y2)) -> c(F(g(g(y2)), g(g(y2)), g(y2))) F(0, 1, g(g(y2))) -> c(F(g(g(g(y2))), g(g(g(y2))), g(g(y2)))) F(0, 1, g(g(g(y0)))) -> c(F(g(g(g(g(y0)))), g(g(g(g(y0)))), g(g(g(y0))))) F(g(0), 1, g(y0)) -> c1(F(0, 1, g(y0))) F(g(0), 1, g(g(y2))) -> c1(F(0, 1, g(g(y2)))) F(g(0), 1, g(g(g(y0)))) -> c1(F(0, 1, g(g(g(y0))))) F(g(z0), z1, g(g(y2))) -> c1(F(z0, z1, g(g(y2)))) F(g(g(g(0))), 1, g(z2)) -> c1(F(g(g(0)), 1, g(z2))) F(g(g(g(g(y0)))), z1, g(z2)) -> c1(F(g(g(g(y0))), z1, g(z2))) F(g(g(g(y0))), z1, g(g(y2))) -> c1(F(g(g(y0)), z1, g(g(y2)))) F(g(g(g(g(g(y0))))), g(y1), g(z2)) -> c1(F(g(g(g(g(y0)))), g(y1), g(z2))) F(g(g(g(g(y0)))), g(g(y1)), g(z2)) -> c1(F(g(g(g(y0))), g(g(y1)), g(z2))) F(g(g(g(g(0)))), g(1), g(z2)) -> c1(F(g(g(g(0))), g(1), g(z2))) F(g(g(g(g(y0)))), g(y1), g(g(y2))) -> c1(F(g(g(g(y0))), g(y1), g(g(y2)))) F(g(g(0)), 1, g(g(y0))) -> c1(F(g(0), 1, g(g(y0)))) F(g(g(0)), 1, g(g(g(y0)))) -> c1(F(g(0), 1, g(g(g(y0))))) F(0, g(1), g(y0)) -> c2(F(0, 1, g(y0))) F(0, g(1), g(g(y2))) -> c2(F(0, 1, g(g(y2)))) F(0, g(1), g(g(g(y0)))) -> c2(F(0, 1, g(g(g(y0))))) F(z0, g(g(g(y1))), z2) -> c2(F(z0, g(g(y1)), z2)) F(z0, g(g(z1)), g(y2)) -> c2(F(z0, g(z1), g(y2))) F(g(0), g(g(1)), z2) -> c2(F(g(0), g(1), z2)) F(g(g(y0)), g(g(z1)), z2) -> c2(F(g(g(y0)), g(z1), z2)) F(g(y0), g(g(g(y1))), z2) -> c2(F(g(y0), g(g(y1)), z2)) F(g(y0), g(g(z1)), g(y2)) -> c2(F(g(y0), g(z1), g(y2))) F(z0, g(g(z1)), g(g(y2))) -> c2(F(z0, g(z1), g(g(y2)))) F(g(g(y0)), g(g(z1)), g(y2)) -> c2(F(g(g(y0)), g(z1), g(y2))) F(g(y0), g(g(z1)), g(g(y2))) -> c2(F(g(y0), g(z1), g(g(y2)))) F(0, g(g(1)), g(y0)) -> c2(F(0, g(1), g(y0))) F(z0, g(g(g(y1))), g(y2)) -> c2(F(z0, g(g(y1)), g(y2))) F(g(0), g(g(1)), g(y0)) -> c2(F(g(0), g(1), g(y0))) F(g(y0), g(g(g(y1))), g(y2)) -> c2(F(g(y0), g(g(y1)), g(y2))) F(g(g(g(y0))), g(g(z1)), z2) -> c2(F(g(g(g(y0))), g(z1), z2)) F(g(g(y0)), g(g(g(y1))), z2) -> c2(F(g(g(y0)), g(g(y1)), z2)) F(g(g(0)), g(g(1)), z2) -> c2(F(g(g(0)), g(1), z2)) F(g(g(y0)), g(g(z1)), g(g(y2))) -> c2(F(g(g(y0)), g(z1), g(g(y2)))) F(g(g(g(y0))), g(g(z1)), g(y2)) -> c2(F(g(g(g(y0))), g(z1), g(y2))) F(g(g(y0)), g(g(g(y1))), g(y2)) -> c2(F(g(g(y0)), g(g(y1)), g(y2))) F(g(g(0)), g(g(1)), g(y0)) -> c2(F(g(g(0)), g(1), g(y0))) F(g(g(g(g(y0)))), g(g(z1)), z2) -> c2(F(g(g(g(g(y0)))), g(z1), z2)) F(g(g(g(y0))), g(g(g(y1))), z2) -> c2(F(g(g(g(y0))), g(g(y1)), z2)) F(g(g(g(0))), g(g(1)), z2) -> c2(F(g(g(g(0))), g(1), z2)) F(g(g(g(y0))), g(g(z1)), g(g(y2))) -> c2(F(g(g(g(y0))), g(z1), g(g(y2)))) F(g(g(g(g(y0)))), g(g(z1)), g(y2)) -> c2(F(g(g(g(g(y0)))), g(z1), g(y2))) F(g(g(g(y0))), g(g(g(y1))), g(y2)) -> c2(F(g(g(g(y0))), g(g(y1)), g(y2))) F(g(g(g(0))), g(g(1)), g(y0)) -> c2(F(g(g(g(0))), g(1), g(y0))) F(g(g(g(g(g(y0))))), g(g(z1)), g(y2)) -> c2(F(g(g(g(g(g(y0))))), g(z1), g(y2))) F(g(g(g(g(y0)))), g(g(g(y1))), g(y2)) -> c2(F(g(g(g(g(y0)))), g(g(y1)), g(y2))) F(g(g(g(g(0)))), g(g(1)), g(y0)) -> c2(F(g(g(g(g(0)))), g(1), g(y0))) F(g(g(g(g(y0)))), g(g(z1)), g(g(y2))) -> c2(F(g(g(g(g(y0)))), g(z1), g(g(y2)))) F(0, g(g(1)), g(g(y0))) -> c2(F(0, g(1), g(g(y0)))) F(0, g(g(1)), g(g(g(y0)))) -> c2(F(0, g(1), g(g(g(y0))))) F(z0, g(z1), g(g(y2))) -> c2(F(z0, z1, g(g(y2)))) F(g(0), g(1), g(z2)) -> c2(F(g(0), 1, g(z2))) F(g(g(y0)), g(z1), g(z2)) -> c2(F(g(g(y0)), z1, g(z2))) F(g(y0), g(z1), g(g(y2))) -> c2(F(g(y0), z1, g(g(y2)))) F(g(g(0)), g(1), g(z2)) -> c2(F(g(g(0)), 1, g(z2))) F(g(g(g(y0))), g(z1), g(z2)) -> c2(F(g(g(g(y0))), z1, g(z2))) F(g(g(y0)), g(z1), g(g(y2))) -> c2(F(g(g(y0)), z1, g(g(y2)))) F(g(0), g(1), g(g(y0))) -> c2(F(g(0), 1, g(g(y0)))) F(g(0), g(1), g(g(g(y0)))) -> c2(F(g(0), 1, g(g(g(y0))))) F(g(g(g(0))), g(1), g(z2)) -> c2(F(g(g(g(0))), 1, g(z2))) F(g(g(g(g(y0)))), g(z1), g(z2)) -> c2(F(g(g(g(g(y0)))), z1, g(z2))) F(g(g(g(y0))), g(z1), g(g(y2))) -> c2(F(g(g(g(y0))), z1, g(g(y2)))) F(g(g(0)), g(1), g(g(y0))) -> c2(F(g(g(0)), 1, g(g(y0)))) F(g(g(0)), g(1), g(g(g(y0)))) -> c2(F(g(g(0)), 1, g(g(g(y0))))) F(z0, g(g(g(g(y1)))), g(z2)) -> c2(F(z0, g(g(g(y1))), g(z2))) F(g(0), g(g(g(1))), g(z2)) -> c2(F(g(0), g(g(1)), g(z2))) F(g(y0), g(g(g(g(y1)))), g(z2)) -> c2(F(g(y0), g(g(g(y1))), g(z2))) F(z0, g(g(g(y1))), g(g(y2))) -> c2(F(z0, g(g(y1)), g(g(y2)))) F(g(y0), g(g(g(y1))), g(g(y2))) -> c2(F(g(y0), g(g(y1)), g(g(y2)))) F(0, g(g(g(1))), g(z2)) -> c2(F(0, g(g(1)), g(z2))) F(g(g(y0)), g(g(g(g(y1)))), g(z2)) -> c2(F(g(g(y0)), g(g(g(y1))), g(z2))) F(g(g(0)), g(g(g(1))), g(z2)) -> c2(F(g(g(0)), g(g(1)), g(z2))) F(g(g(y0)), g(g(g(y1))), g(g(y2))) -> c2(F(g(g(y0)), g(g(y1)), g(g(y2)))) F(g(g(g(y0))), g(g(g(g(y1)))), g(z2)) -> c2(F(g(g(g(y0))), g(g(g(y1))), g(z2))) F(g(g(g(0))), g(g(g(1))), g(z2)) -> c2(F(g(g(g(0))), g(g(1)), g(z2))) F(g(g(g(y0))), g(g(g(y1))), g(g(y2))) -> c2(F(g(g(g(y0))), g(g(y1)), g(g(y2)))) F(g(g(g(g(g(y0))))), g(g(g(y1))), g(z2)) -> c2(F(g(g(g(g(g(y0))))), g(g(y1)), g(z2))) F(g(g(g(g(y0)))), g(g(g(g(y1)))), g(z2)) -> c2(F(g(g(g(g(y0)))), g(g(g(y1))), g(z2))) F(g(g(g(g(0)))), g(g(g(1))), g(z2)) -> c2(F(g(g(g(g(0)))), g(g(1)), g(z2))) F(g(g(g(g(y0)))), g(g(g(y1))), g(g(y2))) -> c2(F(g(g(g(g(y0)))), g(g(y1)), g(g(y2)))) F(0, g(g(g(1))), g(g(y0))) -> c2(F(0, g(g(1)), g(g(y0)))) F(0, g(g(g(1))), g(g(g(y0)))) -> c2(F(0, g(g(1)), g(g(g(y0))))) F(g(g(0)), g(1), z2) -> c2(F(g(g(0)), 1, z2)) F(g(g(g(y0))), g(z1), z2) -> c2(F(g(g(g(y0))), z1, z2)) F(g(g(z0)), g(g(g(g(y1)))), z2) -> c2(F(g(g(z0)), g(g(g(y1))), z2)) F(g(g(0)), g(g(g(1))), z2) -> c2(F(g(g(0)), g(g(1)), z2)) F(g(g(g(g(y0)))), g(g(g(y1))), z2) -> c2(F(g(g(g(g(y0)))), g(g(y1)), z2)) F(g(g(g(y0))), g(g(g(g(y1)))), z2) -> c2(F(g(g(g(y0))), g(g(g(y1))), z2)) F(g(g(g(0))), g(g(g(1))), z2) -> c2(F(g(g(g(0))), g(g(1)), z2)) F(g(g(0)), g(g(1)), g(g(y0))) -> c2(F(g(g(0)), g(1), g(g(y0)))) F(g(g(0)), g(g(1)), g(g(g(y0)))) -> c2(F(g(g(0)), g(1), g(g(g(y0))))) F(g(g(z0)), g(g(g(g(g(y1))))), g(y2)) -> c2(F(g(g(z0)), g(g(g(g(y1)))), g(y2))) F(g(g(z0)), g(g(g(g(y1)))), g(g(y2))) -> c2(F(g(g(z0)), g(g(g(y1))), g(g(y2)))) F(g(g(0)), g(g(g(g(1)))), g(y0)) -> c2(F(g(g(0)), g(g(g(1))), g(y0))) F(g(g(g(y0))), g(g(g(g(g(y1))))), g(y2)) -> c2(F(g(g(g(y0))), g(g(g(g(y1)))), g(y2))) F(g(g(g(0))), g(g(g(g(1)))), g(y0)) -> c2(F(g(g(g(0))), g(g(g(1))), g(y0))) F(g(g(g(y0))), g(g(g(g(y1)))), g(g(y2))) -> c2(F(g(g(g(y0))), g(g(g(y1))), g(g(y2)))) F(g(g(g(g(g(y0))))), g(g(g(g(y1)))), g(y2)) -> c2(F(g(g(g(g(g(y0))))), g(g(g(y1))), g(y2))) F(g(g(g(g(y0)))), g(g(g(g(g(y1))))), g(y2)) -> c2(F(g(g(g(g(y0)))), g(g(g(g(y1)))), g(y2))) F(g(g(g(g(0)))), g(g(g(g(1)))), g(y0)) -> c2(F(g(g(g(g(0)))), g(g(g(1))), g(y0))) F(g(g(g(g(y0)))), g(g(g(g(y1)))), g(g(y2))) -> c2(F(g(g(g(g(y0)))), g(g(g(y1))), g(g(y2)))) F(g(z0), g(g(g(g(y1)))), z2) -> c2(F(g(z0), g(g(g(y1))), z2)) F(g(0), g(g(g(1))), z2) -> c2(F(g(0), g(g(1)), z2)) F(g(0), g(g(1)), g(g(y0))) -> c2(F(g(0), g(1), g(g(y0)))) F(g(0), g(g(1)), g(g(g(y0)))) -> c2(F(g(0), g(1), g(g(g(y0))))) F(g(z0), g(g(g(g(g(y1))))), g(y2)) -> c2(F(g(z0), g(g(g(g(y1)))), g(y2))) F(g(0), g(g(g(g(1)))), g(y0)) -> c2(F(g(0), g(g(g(1))), g(y0))) F(g(z0), g(g(g(g(y1)))), g(g(y2))) -> c2(F(g(z0), g(g(g(y1))), g(g(y2)))) F(g(g(y0)), g(g(g(g(g(y1))))), z2) -> c2(F(g(g(y0)), g(g(g(g(y1)))), z2)) F(g(g(0)), g(g(g(g(1)))), z2) -> c2(F(g(g(0)), g(g(g(1))), z2)) F(g(g(g(g(y0)))), g(g(g(g(y1)))), z2) -> c2(F(g(g(g(g(y0)))), g(g(g(y1))), z2)) F(g(g(g(y0))), g(g(g(g(g(y1))))), z2) -> c2(F(g(g(g(y0))), g(g(g(g(y1)))), z2)) F(g(g(g(0))), g(g(g(g(1)))), z2) -> c2(F(g(g(g(0))), g(g(g(1))), z2)) F(g(g(0)), g(g(g(1))), g(g(y0))) -> c2(F(g(g(0)), g(g(1)), g(g(y0)))) F(g(g(0)), g(g(g(1))), g(g(g(y0)))) -> c2(F(g(g(0)), g(g(1)), g(g(g(y0))))) F(g(g(y0)), g(g(g(g(g(g(y1)))))), g(y2)) -> c2(F(g(g(y0)), g(g(g(g(g(y1))))), g(y2))) F(g(g(y0)), g(g(g(g(g(y1))))), g(g(y2))) -> c2(F(g(g(y0)), g(g(g(g(y1)))), g(g(y2)))) F(g(g(0)), g(g(g(g(g(1))))), g(y0)) -> c2(F(g(g(0)), g(g(g(g(1)))), g(y0))) F(g(g(g(y0))), g(g(g(g(g(g(y1)))))), g(y2)) -> c2(F(g(g(g(y0))), g(g(g(g(g(y1))))), g(y2))) F(g(g(g(0))), g(g(g(g(g(1))))), g(y0)) -> c2(F(g(g(g(0))), g(g(g(g(1)))), g(y0))) F(g(g(g(y0))), g(g(g(g(g(y1))))), g(g(y2))) -> c2(F(g(g(g(y0))), g(g(g(g(y1)))), g(g(y2)))) F(g(g(g(g(g(y0))))), g(g(g(g(g(y1))))), g(y2)) -> c2(F(g(g(g(g(g(y0))))), g(g(g(g(y1)))), g(y2))) F(g(g(g(g(y0)))), g(g(g(g(g(g(y1)))))), g(y2)) -> c2(F(g(g(g(g(y0)))), g(g(g(g(g(y1))))), g(y2))) F(g(g(g(g(0)))), g(g(g(g(g(1))))), g(y0)) -> c2(F(g(g(g(g(0)))), g(g(g(g(1)))), g(y0))) F(g(g(g(g(y0)))), g(g(g(g(g(y1))))), g(g(y2))) -> c2(F(g(g(g(g(y0)))), g(g(g(g(y1)))), g(g(y2)))) F(g(0), g(g(g(1))), g(g(y0))) -> c2(F(g(0), g(g(1)), g(g(y0)))) F(g(0), g(g(g(1))), g(g(g(y0)))) -> c2(F(g(0), g(g(1)), g(g(g(y0))))) F(g(z0), g(g(g(g(g(g(y1)))))), g(z2)) -> c2(F(g(z0), g(g(g(g(g(y1))))), g(z2))) F(g(0), g(g(g(g(g(1))))), g(z2)) -> c2(F(g(0), g(g(g(g(1)))), g(z2))) F(g(z0), g(g(g(g(g(y1))))), g(g(y2))) -> c2(F(g(z0), g(g(g(g(y1)))), g(g(y2)))) F(g(g(0)), g(g(g(g(1)))), g(g(y0))) -> c2(F(g(g(0)), g(g(g(1))), g(g(y0)))) F(g(g(0)), g(g(g(g(1)))), g(g(g(y0)))) -> c2(F(g(g(0)), g(g(g(1))), g(g(g(y0))))) F(g(g(y0)), g(g(g(g(g(g(g(y1))))))), g(z2)) -> c2(F(g(g(y0)), g(g(g(g(g(g(y1)))))), g(z2))) F(g(g(y0)), g(g(g(g(g(g(y1)))))), g(g(y2))) -> c2(F(g(g(y0)), g(g(g(g(g(y1))))), g(g(y2)))) F(g(g(0)), g(g(g(g(g(g(1)))))), g(z2)) -> c2(F(g(g(0)), g(g(g(g(g(1))))), g(z2))) F(g(g(g(y0))), g(g(g(g(g(g(g(y1))))))), g(z2)) -> c2(F(g(g(g(y0))), g(g(g(g(g(g(y1)))))), g(z2))) F(g(g(g(0))), g(g(g(g(g(g(1)))))), g(z2)) -> c2(F(g(g(g(0))), g(g(g(g(g(1))))), g(z2))) F(g(g(g(y0))), g(g(g(g(g(g(y1)))))), g(g(y2))) -> c2(F(g(g(g(y0))), g(g(g(g(g(y1))))), g(g(y2)))) F(g(g(g(g(g(y0))))), g(g(g(g(g(g(y1)))))), g(z2)) -> c2(F(g(g(g(g(g(y0))))), g(g(g(g(g(y1))))), g(z2))) F(g(g(g(g(y0)))), g(g(g(g(g(g(g(y1))))))), g(z2)) -> c2(F(g(g(g(g(y0)))), g(g(g(g(g(g(y1)))))), g(z2))) F(g(g(g(g(0)))), g(g(g(g(g(g(1)))))), g(z2)) -> c2(F(g(g(g(g(0)))), g(g(g(g(g(1))))), g(z2))) F(g(g(g(g(y0)))), g(g(g(g(g(g(y1)))))), g(g(y2))) -> c2(F(g(g(g(g(y0)))), g(g(g(g(g(y1))))), g(g(y2)))) K tuples: F(z0, z1, g(g(y2))) -> c3(F(z0, z1, g(y2))) F(g(0), 1, g(z2)) -> c3(F(g(0), 1, z2)) F(g(g(y0)), z1, g(z2)) -> c3(F(g(g(y0)), z1, z2)) F(g(y0), g(y1), g(z2)) -> c3(F(g(y0), g(y1), z2)) F(g(y0), z1, g(g(y2))) -> c3(F(g(y0), z1, g(y2))) F(0, g(1), g(z2)) -> c3(F(0, g(1), z2)) F(z0, g(g(y1)), g(z2)) -> c3(F(z0, g(g(y1)), z2)) F(z0, g(y1), g(g(y2))) -> c3(F(z0, g(y1), g(y2))) F(g(0), g(1), g(z2)) -> c3(F(g(0), g(1), z2)) F(g(g(y0)), g(y1), g(z2)) -> c3(F(g(g(y0)), g(y1), z2)) F(g(y0), g(g(y1)), g(z2)) -> c3(F(g(y0), g(g(y1)), z2)) F(g(y0), g(y1), g(g(y2))) -> c3(F(g(y0), g(y1), g(y2))) F(0, 1, g(g(y0))) -> c3(F(0, 1, g(y0))) F(0, 1, g(g(g(y2)))) -> c3(F(0, 1, g(g(y2)))) F(0, 1, g(g(g(g(y0))))) -> c3(F(0, 1, g(g(g(y0))))) Defined Rule Symbols:none Defined Pair Symbols: F_3 Compound Symbols: c3_1, c1_1, c_1, c2_1 ---------------------------------------- (67) CdtForwardInstantiationProof (BOTH BOUNDS(ID, ID)) Use forward instantiation to replace F(z0, z1, g(g(y2))) -> c3(F(z0, z1, g(y2))) by F(z0, z1, g(g(g(y2)))) -> c3(F(z0, z1, g(g(y2)))) F(g(0), 1, g(g(z2))) -> c3(F(g(0), 1, g(z2))) F(g(g(y0)), z1, g(g(z2))) -> c3(F(g(g(y0)), z1, g(z2))) F(g(y0), g(y1), g(g(z2))) -> c3(F(g(y0), g(y1), g(z2))) F(g(y0), z1, g(g(g(y2)))) -> c3(F(g(y0), z1, g(g(y2)))) F(0, g(1), g(g(z2))) -> c3(F(0, g(1), g(z2))) F(z0, g(g(y1)), g(g(z2))) -> c3(F(z0, g(g(y1)), g(z2))) F(z0, g(y1), g(g(g(y2)))) -> c3(F(z0, g(y1), g(g(y2)))) F(g(0), g(1), g(g(z2))) -> c3(F(g(0), g(1), g(z2))) F(g(g(y0)), g(y1), g(g(z2))) -> c3(F(g(g(y0)), g(y1), g(z2))) F(g(y0), g(g(y1)), g(g(z2))) -> c3(F(g(y0), g(g(y1)), g(z2))) F(g(y0), g(y1), g(g(g(y2)))) -> c3(F(g(y0), g(y1), g(g(y2)))) F(g(g(0)), 1, g(g(z2))) -> c3(F(g(g(0)), 1, g(z2))) F(g(g(g(y0))), z1, g(g(z2))) -> c3(F(g(g(g(y0))), z1, g(z2))) F(g(g(y0)), g(g(y1)), g(g(z2))) -> c3(F(g(g(y0)), g(g(y1)), g(z2))) F(g(g(0)), g(1), g(g(z2))) -> c3(F(g(g(0)), g(1), g(z2))) F(g(g(g(y0))), g(y1), g(g(z2))) -> c3(F(g(g(g(y0))), g(y1), g(z2))) F(g(g(y0)), z1, g(g(g(y2)))) -> c3(F(g(g(y0)), z1, g(g(y2)))) F(g(g(y0)), g(y1), g(g(g(y2)))) -> c3(F(g(g(y0)), g(y1), g(g(y2)))) F(g(g(g(g(y0)))), g(y1), g(g(z2))) -> c3(F(g(g(g(g(y0)))), g(y1), g(z2))) F(g(g(g(y0))), g(g(y1)), g(g(z2))) -> c3(F(g(g(g(y0))), g(g(y1)), g(z2))) F(g(g(g(0))), g(1), g(g(z2))) -> c3(F(g(g(g(0))), g(1), g(z2))) F(g(g(g(y0))), g(y1), g(g(g(y2)))) -> c3(F(g(g(g(y0))), g(y1), g(g(y2)))) F(0, 1, g(g(z2))) -> c3(F(0, 1, g(z2))) F(0, 1, g(g(g(y0)))) -> c3(F(0, 1, g(g(y0)))) F(0, 1, g(g(g(g(y0))))) -> c3(F(0, 1, g(g(g(y0))))) F(g(0), 1, g(g(g(y0)))) -> c3(F(g(0), 1, g(g(y0)))) F(g(0), 1, g(g(g(g(y0))))) -> c3(F(g(0), 1, g(g(g(y0))))) F(g(g(g(0))), 1, g(g(z2))) -> c3(F(g(g(g(0))), 1, g(z2))) F(g(g(g(g(y0)))), z1, g(g(z2))) -> c3(F(g(g(g(g(y0)))), z1, g(z2))) F(g(g(g(y0))), z1, g(g(g(y2)))) -> c3(F(g(g(g(y0))), z1, g(g(y2)))) F(g(g(g(g(g(y0))))), g(y1), g(g(z2))) -> c3(F(g(g(g(g(g(y0))))), g(y1), g(z2))) F(g(g(g(g(y0)))), g(g(y1)), g(g(z2))) -> c3(F(g(g(g(g(y0)))), g(g(y1)), g(z2))) F(g(g(g(g(0)))), g(1), g(g(z2))) -> c3(F(g(g(g(g(0)))), g(1), g(z2))) F(g(g(g(g(y0)))), g(y1), g(g(g(y2)))) -> c3(F(g(g(g(g(y0)))), g(y1), g(g(y2)))) F(g(g(0)), 1, g(g(g(y0)))) -> c3(F(g(g(0)), 1, g(g(y0)))) F(g(g(0)), 1, g(g(g(g(y0))))) -> c3(F(g(g(0)), 1, g(g(g(y0))))) F(0, g(1), g(g(g(y0)))) -> c3(F(0, g(1), g(g(y0)))) F(0, g(1), g(g(g(g(y0))))) -> c3(F(0, g(1), g(g(g(y0))))) F(z0, g(g(g(y1))), g(g(z2))) -> c3(F(z0, g(g(g(y1))), g(z2))) F(g(0), g(g(1)), g(g(z2))) -> c3(F(g(0), g(g(1)), g(z2))) F(g(y0), g(g(g(y1))), g(g(z2))) -> c3(F(g(y0), g(g(g(y1))), g(z2))) F(z0, g(g(y1)), g(g(g(y2)))) -> c3(F(z0, g(g(y1)), g(g(y2)))) F(g(y0), g(g(y1)), g(g(g(y2)))) -> c3(F(g(y0), g(g(y1)), g(g(y2)))) F(0, g(g(1)), g(g(z2))) -> c3(F(0, g(g(1)), g(z2))) F(g(g(y0)), g(g(g(y1))), g(g(z2))) -> c3(F(g(g(y0)), g(g(g(y1))), g(z2))) F(g(g(0)), g(g(1)), g(g(z2))) -> c3(F(g(g(0)), g(g(1)), g(z2))) F(g(g(y0)), g(g(y1)), g(g(g(y2)))) -> c3(F(g(g(y0)), g(g(y1)), g(g(y2)))) F(g(g(g(y0))), g(g(g(y1))), g(g(z2))) -> c3(F(g(g(g(y0))), g(g(g(y1))), g(z2))) F(g(g(g(0))), g(g(1)), g(g(z2))) -> c3(F(g(g(g(0))), g(g(1)), g(z2))) F(g(g(g(y0))), g(g(y1)), g(g(g(y2)))) -> c3(F(g(g(g(y0))), g(g(y1)), g(g(y2)))) F(g(g(g(g(g(y0))))), g(g(y1)), g(g(z2))) -> c3(F(g(g(g(g(g(y0))))), g(g(y1)), g(z2))) F(g(g(g(g(y0)))), g(g(g(y1))), g(g(z2))) -> c3(F(g(g(g(g(y0)))), g(g(g(y1))), g(z2))) F(g(g(g(g(0)))), g(g(1)), g(g(z2))) -> c3(F(g(g(g(g(0)))), g(g(1)), g(z2))) F(g(g(g(g(y0)))), g(g(y1)), g(g(g(y2)))) -> c3(F(g(g(g(g(y0)))), g(g(y1)), g(g(y2)))) F(0, g(g(1)), g(g(g(y0)))) -> c3(F(0, g(g(1)), g(g(y0)))) F(0, g(g(1)), g(g(g(g(y0))))) -> c3(F(0, g(g(1)), g(g(g(y0))))) F(g(0), g(1), g(g(g(y0)))) -> c3(F(g(0), g(1), g(g(y0)))) F(g(0), g(1), g(g(g(g(y0))))) -> c3(F(g(0), g(1), g(g(g(y0))))) F(g(g(0)), g(1), g(g(g(y0)))) -> c3(F(g(g(0)), g(1), g(g(y0)))) F(g(g(0)), g(1), g(g(g(g(y0))))) -> c3(F(g(g(0)), g(1), g(g(g(y0))))) F(z0, g(g(g(g(y1)))), g(g(z2))) -> c3(F(z0, g(g(g(g(y1)))), g(z2))) F(g(0), g(g(g(1))), g(g(z2))) -> c3(F(g(0), g(g(g(1))), g(z2))) F(g(y0), g(g(g(g(y1)))), g(g(z2))) -> c3(F(g(y0), g(g(g(g(y1)))), g(z2))) F(z0, g(g(g(y1))), g(g(g(y2)))) -> c3(F(z0, g(g(g(y1))), g(g(y2)))) F(g(y0), g(g(g(y1))), g(g(g(y2)))) -> c3(F(g(y0), g(g(g(y1))), g(g(y2)))) F(0, g(g(g(1))), g(g(z2))) -> c3(F(0, g(g(g(1))), g(z2))) F(g(g(y0)), g(g(g(g(y1)))), g(g(z2))) -> c3(F(g(g(y0)), g(g(g(g(y1)))), g(z2))) F(g(g(0)), g(g(g(1))), g(g(z2))) -> c3(F(g(g(0)), g(g(g(1))), g(z2))) F(g(g(y0)), g(g(g(y1))), g(g(g(y2)))) -> c3(F(g(g(y0)), g(g(g(y1))), g(g(y2)))) F(g(g(g(y0))), g(g(g(g(y1)))), g(g(z2))) -> c3(F(g(g(g(y0))), g(g(g(g(y1)))), g(z2))) F(g(g(g(0))), g(g(g(1))), g(g(z2))) -> c3(F(g(g(g(0))), g(g(g(1))), g(z2))) F(g(g(g(y0))), g(g(g(y1))), g(g(g(y2)))) -> c3(F(g(g(g(y0))), g(g(g(y1))), g(g(y2)))) F(g(g(g(g(g(y0))))), g(g(g(y1))), g(g(z2))) -> c3(F(g(g(g(g(g(y0))))), g(g(g(y1))), g(z2))) F(g(g(g(g(y0)))), g(g(g(g(y1)))), g(g(z2))) -> c3(F(g(g(g(g(y0)))), g(g(g(g(y1)))), g(z2))) F(g(g(g(g(0)))), g(g(g(1))), g(g(z2))) -> c3(F(g(g(g(g(0)))), g(g(g(1))), g(z2))) F(g(g(g(g(y0)))), g(g(g(y1))), g(g(g(y2)))) -> c3(F(g(g(g(g(y0)))), g(g(g(y1))), g(g(y2)))) F(0, g(g(g(1))), g(g(g(y0)))) -> c3(F(0, g(g(g(1))), g(g(y0)))) F(0, g(g(g(1))), g(g(g(g(y0))))) -> c3(F(0, g(g(g(1))), g(g(g(y0))))) F(g(g(0)), g(g(1)), g(g(g(y0)))) -> c3(F(g(g(0)), g(g(1)), g(g(y0)))) F(g(g(0)), g(g(1)), g(g(g(g(y0))))) -> c3(F(g(g(0)), g(g(1)), g(g(g(y0))))) F(g(g(y0)), g(g(g(g(g(y1))))), g(g(z2))) -> c3(F(g(g(y0)), g(g(g(g(g(y1))))), g(z2))) F(g(g(y0)), g(g(g(g(y1)))), g(g(g(y2)))) -> c3(F(g(g(y0)), g(g(g(g(y1)))), g(g(y2)))) F(g(g(0)), g(g(g(g(1)))), g(g(z2))) -> c3(F(g(g(0)), g(g(g(g(1)))), g(z2))) F(g(g(g(y0))), g(g(g(g(g(y1))))), g(g(z2))) -> c3(F(g(g(g(y0))), g(g(g(g(g(y1))))), g(z2))) F(g(g(g(0))), g(g(g(g(1)))), g(g(z2))) -> c3(F(g(g(g(0))), g(g(g(g(1)))), g(z2))) F(g(g(g(y0))), g(g(g(g(y1)))), g(g(g(y2)))) -> c3(F(g(g(g(y0))), g(g(g(g(y1)))), g(g(y2)))) F(g(g(g(g(g(y0))))), g(g(g(g(y1)))), g(g(z2))) -> c3(F(g(g(g(g(g(y0))))), g(g(g(g(y1)))), g(z2))) F(g(g(g(g(y0)))), g(g(g(g(g(y1))))), g(g(z2))) -> c3(F(g(g(g(g(y0)))), g(g(g(g(g(y1))))), g(z2))) F(g(g(g(g(0)))), g(g(g(g(1)))), g(g(z2))) -> c3(F(g(g(g(g(0)))), g(g(g(g(1)))), g(z2))) F(g(g(g(g(y0)))), g(g(g(g(y1)))), g(g(g(y2)))) -> c3(F(g(g(g(g(y0)))), g(g(g(g(y1)))), g(g(y2)))) F(g(0), g(g(1)), g(g(g(y0)))) -> c3(F(g(0), g(g(1)), g(g(y0)))) F(g(0), g(g(1)), g(g(g(g(y0))))) -> c3(F(g(0), g(g(1)), g(g(g(y0))))) F(g(y0), g(g(g(g(g(y1))))), g(g(z2))) -> c3(F(g(y0), g(g(g(g(g(y1))))), g(z2))) F(g(0), g(g(g(g(1)))), g(g(z2))) -> c3(F(g(0), g(g(g(g(1)))), g(z2))) F(g(y0), g(g(g(g(y1)))), g(g(g(y2)))) -> c3(F(g(y0), g(g(g(g(y1)))), g(g(y2)))) F(g(g(0)), g(g(g(1))), g(g(g(y0)))) -> c3(F(g(g(0)), g(g(g(1))), g(g(y0)))) F(g(g(0)), g(g(g(1))), g(g(g(g(y0))))) -> c3(F(g(g(0)), g(g(g(1))), g(g(g(y0))))) F(g(g(y0)), g(g(g(g(g(g(y1)))))), g(g(z2))) -> c3(F(g(g(y0)), g(g(g(g(g(g(y1)))))), g(z2))) F(g(g(y0)), g(g(g(g(g(y1))))), g(g(g(y2)))) -> c3(F(g(g(y0)), g(g(g(g(g(y1))))), g(g(y2)))) F(g(g(0)), g(g(g(g(g(1))))), g(g(z2))) -> c3(F(g(g(0)), g(g(g(g(g(1))))), g(z2))) F(g(g(g(y0))), g(g(g(g(g(g(y1)))))), g(g(z2))) -> c3(F(g(g(g(y0))), g(g(g(g(g(g(y1)))))), g(z2))) F(g(g(g(0))), g(g(g(g(g(1))))), g(g(z2))) -> c3(F(g(g(g(0))), g(g(g(g(g(1))))), g(z2))) F(g(g(g(y0))), g(g(g(g(g(y1))))), g(g(g(y2)))) -> c3(F(g(g(g(y0))), g(g(g(g(g(y1))))), g(g(y2)))) F(g(g(g(g(g(y0))))), g(g(g(g(g(y1))))), g(g(z2))) -> c3(F(g(g(g(g(g(y0))))), g(g(g(g(g(y1))))), g(z2))) F(g(g(g(g(y0)))), g(g(g(g(g(g(y1)))))), g(g(z2))) -> c3(F(g(g(g(g(y0)))), g(g(g(g(g(g(y1)))))), g(z2))) F(g(g(g(g(0)))), g(g(g(g(g(1))))), g(g(z2))) -> c3(F(g(g(g(g(0)))), g(g(g(g(g(1))))), g(z2))) F(g(g(g(g(y0)))), g(g(g(g(g(y1))))), g(g(g(y2)))) -> c3(F(g(g(g(g(y0)))), g(g(g(g(g(y1))))), g(g(y2)))) F(g(0), g(g(g(1))), g(g(g(y0)))) -> c3(F(g(0), g(g(g(1))), g(g(y0)))) F(g(0), g(g(g(1))), g(g(g(g(y0))))) -> c3(F(g(0), g(g(g(1))), g(g(g(y0))))) F(g(y0), g(g(g(g(g(g(y1)))))), g(g(z2))) -> c3(F(g(y0), g(g(g(g(g(g(y1)))))), g(z2))) F(g(0), g(g(g(g(g(1))))), g(g(z2))) -> c3(F(g(0), g(g(g(g(g(1))))), g(z2))) F(g(y0), g(g(g(g(g(y1))))), g(g(g(y2)))) -> c3(F(g(y0), g(g(g(g(g(y1))))), g(g(y2)))) F(g(g(0)), g(g(g(g(1)))), g(g(g(y0)))) -> c3(F(g(g(0)), g(g(g(g(1)))), g(g(y0)))) F(g(g(0)), g(g(g(g(1)))), g(g(g(g(y0))))) -> c3(F(g(g(0)), g(g(g(g(1)))), g(g(g(y0))))) F(g(g(y0)), g(g(g(g(g(g(g(y1))))))), g(g(z2))) -> c3(F(g(g(y0)), g(g(g(g(g(g(g(y1))))))), g(z2))) F(g(g(y0)), g(g(g(g(g(g(y1)))))), g(g(g(y2)))) -> c3(F(g(g(y0)), g(g(g(g(g(g(y1)))))), g(g(y2)))) F(g(g(0)), g(g(g(g(g(g(1)))))), g(g(z2))) -> c3(F(g(g(0)), g(g(g(g(g(g(1)))))), g(z2))) F(g(g(g(y0))), g(g(g(g(g(g(g(y1))))))), g(g(z2))) -> c3(F(g(g(g(y0))), g(g(g(g(g(g(g(y1))))))), g(z2))) F(g(g(g(0))), g(g(g(g(g(g(1)))))), g(g(z2))) -> c3(F(g(g(g(0))), g(g(g(g(g(g(1)))))), g(z2))) F(g(g(g(y0))), g(g(g(g(g(g(y1)))))), g(g(g(y2)))) -> c3(F(g(g(g(y0))), g(g(g(g(g(g(y1)))))), g(g(y2)))) F(g(g(g(g(g(y0))))), g(g(g(g(g(g(y1)))))), g(g(z2))) -> c3(F(g(g(g(g(g(y0))))), g(g(g(g(g(g(y1)))))), g(z2))) F(g(g(g(g(y0)))), g(g(g(g(g(g(g(y1))))))), g(g(z2))) -> c3(F(g(g(g(g(y0)))), g(g(g(g(g(g(g(y1))))))), g(z2))) F(g(g(g(g(0)))), g(g(g(g(g(g(1)))))), g(g(z2))) -> c3(F(g(g(g(g(0)))), g(g(g(g(g(g(1)))))), g(z2))) F(g(g(g(g(y0)))), g(g(g(g(g(g(y1)))))), g(g(g(y2)))) -> c3(F(g(g(g(g(y0)))), g(g(g(g(g(g(y1)))))), g(g(y2)))) F(0, 1, g(g(g(g(g(y0)))))) -> c3(F(0, 1, g(g(g(g(y0)))))) ---------------------------------------- (68) Obligation: Complexity Dependency Tuples Problem Rules:none Tuples: F(g(0), 1, g(z2)) -> c3(F(g(0), 1, z2)) F(g(g(y0)), z1, g(z2)) -> c3(F(g(g(y0)), z1, z2)) F(g(y0), g(y1), g(z2)) -> c3(F(g(y0), g(y1), z2)) F(g(y0), z1, g(g(y2))) -> c3(F(g(y0), z1, g(y2))) F(0, g(1), g(z2)) -> c3(F(0, g(1), z2)) F(z0, g(g(y1)), g(z2)) -> c3(F(z0, g(g(y1)), z2)) F(z0, g(y1), g(g(y2))) -> c3(F(z0, g(y1), g(y2))) F(g(0), g(1), g(z2)) -> c3(F(g(0), g(1), z2)) F(g(g(y0)), g(y1), g(z2)) -> c3(F(g(g(y0)), g(y1), z2)) F(g(y0), g(g(y1)), g(z2)) -> c3(F(g(y0), g(g(y1)), z2)) F(g(y0), g(y1), g(g(y2))) -> c3(F(g(y0), g(y1), g(y2))) F(g(g(0)), 1, z2) -> c1(F(g(0), 1, z2)) F(g(g(g(y0))), z1, z2) -> c1(F(g(g(y0)), z1, z2)) F(g(g(z0)), g(y1), z2) -> c1(F(g(z0), g(y1), z2)) F(g(g(z0)), z1, g(y2)) -> c1(F(g(z0), z1, g(y2))) F(g(g(z0)), g(g(y1)), z2) -> c1(F(g(z0), g(g(y1)), z2)) F(g(g(z0)), g(y1), g(y2)) -> c1(F(g(z0), g(y1), g(y2))) F(g(g(0)), g(1), z2) -> c1(F(g(0), g(1), z2)) F(g(g(g(y0))), g(y1), z2) -> c1(F(g(g(y0)), g(y1), z2)) F(g(g(z0)), z1, g(g(y2))) -> c1(F(g(z0), z1, g(g(y2)))) F(g(g(0)), 1, g(y0)) -> c1(F(g(0), 1, g(y0))) F(g(g(g(y0))), z1, g(y2)) -> c1(F(g(g(y0)), z1, g(y2))) F(g(g(z0)), g(g(y1)), g(y2)) -> c1(F(g(z0), g(g(y1)), g(y2))) F(g(g(z0)), g(y1), g(g(y2))) -> c1(F(g(z0), g(y1), g(g(y2)))) F(g(g(0)), g(1), g(y0)) -> c1(F(g(0), g(1), g(y0))) F(g(g(g(y0))), g(y1), g(y2)) -> c1(F(g(g(y0)), g(y1), g(y2))) F(g(0), g(1), z2) -> c1(F(0, g(1), z2)) F(g(z0), g(g(y1)), z2) -> c1(F(z0, g(g(y1)), z2)) F(g(z0), g(z1), g(y2)) -> c1(F(z0, g(z1), g(y2))) F(g(z0), g(z1), g(g(y2))) -> c1(F(z0, g(z1), g(g(y2)))) F(g(0), g(1), g(y0)) -> c1(F(0, g(1), g(y0))) F(g(z0), g(g(y1)), g(y2)) -> c1(F(z0, g(g(y1)), g(y2))) F(g(g(g(g(y0)))), g(z1), z2) -> c1(F(g(g(g(y0))), g(z1), z2)) F(g(g(g(y0))), g(g(y1)), z2) -> c1(F(g(g(y0)), g(g(y1)), z2)) F(g(g(g(0))), g(1), z2) -> c1(F(g(g(0)), g(1), z2)) F(g(g(g(y0))), g(z1), g(g(y2))) -> c1(F(g(g(y0)), g(z1), g(g(y2)))) F(g(g(g(g(y0)))), g(z1), g(y2)) -> c1(F(g(g(g(y0))), g(z1), g(y2))) F(g(g(g(y0))), g(g(y1)), g(y2)) -> c1(F(g(g(y0)), g(g(y1)), g(y2))) F(g(g(g(0))), g(1), g(y0)) -> c1(F(g(g(0)), g(1), g(y0))) F(0, 1, g(y2)) -> c(F(g(g(y2)), g(g(y2)), g(y2))) F(0, 1, g(g(y2))) -> c(F(g(g(g(y2))), g(g(g(y2))), g(g(y2)))) F(0, 1, g(g(g(y0)))) -> c(F(g(g(g(g(y0)))), g(g(g(g(y0)))), g(g(g(y0))))) F(g(0), 1, g(y0)) -> c1(F(0, 1, g(y0))) F(g(0), 1, g(g(y2))) -> c1(F(0, 1, g(g(y2)))) F(g(0), 1, g(g(g(y0)))) -> c1(F(0, 1, g(g(g(y0))))) F(g(z0), z1, g(g(y2))) -> c1(F(z0, z1, g(g(y2)))) F(g(g(g(0))), 1, g(z2)) -> c1(F(g(g(0)), 1, g(z2))) F(g(g(g(g(y0)))), z1, g(z2)) -> c1(F(g(g(g(y0))), z1, g(z2))) F(g(g(g(y0))), z1, g(g(y2))) -> c1(F(g(g(y0)), z1, g(g(y2)))) F(g(g(g(g(g(y0))))), g(y1), g(z2)) -> c1(F(g(g(g(g(y0)))), g(y1), g(z2))) F(g(g(g(g(y0)))), g(g(y1)), g(z2)) -> c1(F(g(g(g(y0))), g(g(y1)), g(z2))) F(g(g(g(g(0)))), g(1), g(z2)) -> c1(F(g(g(g(0))), g(1), g(z2))) F(g(g(g(g(y0)))), g(y1), g(g(y2))) -> c1(F(g(g(g(y0))), g(y1), g(g(y2)))) F(g(g(0)), 1, g(g(y0))) -> c1(F(g(0), 1, g(g(y0)))) F(g(g(0)), 1, g(g(g(y0)))) -> c1(F(g(0), 1, g(g(g(y0))))) F(0, g(1), g(y0)) -> c2(F(0, 1, g(y0))) F(0, g(1), g(g(y2))) -> c2(F(0, 1, g(g(y2)))) F(0, g(1), g(g(g(y0)))) -> c2(F(0, 1, g(g(g(y0))))) F(z0, g(g(g(y1))), z2) -> c2(F(z0, g(g(y1)), z2)) F(z0, g(g(z1)), g(y2)) -> c2(F(z0, g(z1), g(y2))) F(g(0), g(g(1)), z2) -> c2(F(g(0), g(1), z2)) F(g(g(y0)), g(g(z1)), z2) -> c2(F(g(g(y0)), g(z1), z2)) F(g(y0), g(g(g(y1))), z2) -> c2(F(g(y0), g(g(y1)), z2)) F(g(y0), g(g(z1)), g(y2)) -> c2(F(g(y0), g(z1), g(y2))) F(z0, g(g(z1)), g(g(y2))) -> c2(F(z0, g(z1), g(g(y2)))) F(g(g(y0)), g(g(z1)), g(y2)) -> c2(F(g(g(y0)), g(z1), g(y2))) F(g(y0), g(g(z1)), g(g(y2))) -> c2(F(g(y0), g(z1), g(g(y2)))) F(0, g(g(1)), g(y0)) -> c2(F(0, g(1), g(y0))) F(z0, g(g(g(y1))), g(y2)) -> c2(F(z0, g(g(y1)), g(y2))) F(g(0), g(g(1)), g(y0)) -> c2(F(g(0), g(1), g(y0))) F(g(y0), g(g(g(y1))), g(y2)) -> c2(F(g(y0), g(g(y1)), g(y2))) F(g(g(g(y0))), g(g(z1)), z2) -> c2(F(g(g(g(y0))), g(z1), z2)) F(g(g(y0)), g(g(g(y1))), z2) -> c2(F(g(g(y0)), g(g(y1)), z2)) F(g(g(0)), g(g(1)), z2) -> c2(F(g(g(0)), g(1), z2)) F(g(g(y0)), g(g(z1)), g(g(y2))) -> c2(F(g(g(y0)), g(z1), g(g(y2)))) F(g(g(g(y0))), g(g(z1)), g(y2)) -> c2(F(g(g(g(y0))), g(z1), g(y2))) F(g(g(y0)), g(g(g(y1))), g(y2)) -> c2(F(g(g(y0)), g(g(y1)), g(y2))) F(g(g(0)), g(g(1)), g(y0)) -> c2(F(g(g(0)), g(1), g(y0))) F(g(g(g(g(y0)))), g(g(z1)), z2) -> c2(F(g(g(g(g(y0)))), g(z1), z2)) F(g(g(g(y0))), g(g(g(y1))), z2) -> c2(F(g(g(g(y0))), g(g(y1)), z2)) F(g(g(g(0))), g(g(1)), z2) -> c2(F(g(g(g(0))), g(1), z2)) F(g(g(g(y0))), g(g(z1)), g(g(y2))) -> c2(F(g(g(g(y0))), g(z1), g(g(y2)))) F(g(g(g(g(y0)))), g(g(z1)), g(y2)) -> c2(F(g(g(g(g(y0)))), g(z1), g(y2))) F(g(g(g(y0))), g(g(g(y1))), g(y2)) -> c2(F(g(g(g(y0))), g(g(y1)), g(y2))) F(g(g(g(0))), g(g(1)), g(y0)) -> c2(F(g(g(g(0))), g(1), g(y0))) F(g(g(g(g(g(y0))))), g(g(z1)), g(y2)) -> c2(F(g(g(g(g(g(y0))))), g(z1), g(y2))) F(g(g(g(g(y0)))), g(g(g(y1))), g(y2)) -> c2(F(g(g(g(g(y0)))), g(g(y1)), g(y2))) F(g(g(g(g(0)))), g(g(1)), g(y0)) -> c2(F(g(g(g(g(0)))), g(1), g(y0))) F(g(g(g(g(y0)))), g(g(z1)), g(g(y2))) -> c2(F(g(g(g(g(y0)))), g(z1), g(g(y2)))) F(0, g(g(1)), g(g(y0))) -> c2(F(0, g(1), g(g(y0)))) F(0, g(g(1)), g(g(g(y0)))) -> c2(F(0, g(1), g(g(g(y0))))) F(z0, g(z1), g(g(y2))) -> c2(F(z0, z1, g(g(y2)))) F(g(0), g(1), g(z2)) -> c2(F(g(0), 1, g(z2))) F(g(g(y0)), g(z1), g(z2)) -> c2(F(g(g(y0)), z1, g(z2))) F(g(y0), g(z1), g(g(y2))) -> c2(F(g(y0), z1, g(g(y2)))) F(g(g(0)), g(1), g(z2)) -> c2(F(g(g(0)), 1, g(z2))) F(g(g(g(y0))), g(z1), g(z2)) -> c2(F(g(g(g(y0))), z1, g(z2))) F(g(g(y0)), g(z1), g(g(y2))) -> c2(F(g(g(y0)), z1, g(g(y2)))) F(g(0), g(1), g(g(y0))) -> c2(F(g(0), 1, g(g(y0)))) F(g(0), g(1), g(g(g(y0)))) -> c2(F(g(0), 1, g(g(g(y0))))) F(g(g(g(0))), g(1), g(z2)) -> c2(F(g(g(g(0))), 1, g(z2))) F(g(g(g(g(y0)))), g(z1), g(z2)) -> c2(F(g(g(g(g(y0)))), z1, g(z2))) F(g(g(g(y0))), g(z1), g(g(y2))) -> c2(F(g(g(g(y0))), z1, g(g(y2)))) F(g(g(0)), g(1), g(g(y0))) -> c2(F(g(g(0)), 1, g(g(y0)))) F(g(g(0)), g(1), g(g(g(y0)))) -> c2(F(g(g(0)), 1, g(g(g(y0))))) F(z0, g(g(g(g(y1)))), g(z2)) -> c2(F(z0, g(g(g(y1))), g(z2))) F(g(0), g(g(g(1))), g(z2)) -> c2(F(g(0), g(g(1)), g(z2))) F(g(y0), g(g(g(g(y1)))), g(z2)) -> c2(F(g(y0), g(g(g(y1))), g(z2))) F(z0, g(g(g(y1))), g(g(y2))) -> c2(F(z0, g(g(y1)), g(g(y2)))) F(g(y0), g(g(g(y1))), g(g(y2))) -> c2(F(g(y0), g(g(y1)), g(g(y2)))) F(0, g(g(g(1))), g(z2)) -> c2(F(0, g(g(1)), g(z2))) F(g(g(y0)), g(g(g(g(y1)))), g(z2)) -> c2(F(g(g(y0)), g(g(g(y1))), g(z2))) F(g(g(0)), g(g(g(1))), g(z2)) -> c2(F(g(g(0)), g(g(1)), g(z2))) F(g(g(y0)), g(g(g(y1))), g(g(y2))) -> c2(F(g(g(y0)), g(g(y1)), g(g(y2)))) F(g(g(g(y0))), g(g(g(g(y1)))), g(z2)) -> c2(F(g(g(g(y0))), g(g(g(y1))), g(z2))) F(g(g(g(0))), g(g(g(1))), g(z2)) -> c2(F(g(g(g(0))), g(g(1)), g(z2))) F(g(g(g(y0))), g(g(g(y1))), g(g(y2))) -> c2(F(g(g(g(y0))), g(g(y1)), g(g(y2)))) F(g(g(g(g(g(y0))))), g(g(g(y1))), g(z2)) -> c2(F(g(g(g(g(g(y0))))), g(g(y1)), g(z2))) F(g(g(g(g(y0)))), g(g(g(g(y1)))), g(z2)) -> c2(F(g(g(g(g(y0)))), g(g(g(y1))), g(z2))) F(g(g(g(g(0)))), g(g(g(1))), g(z2)) -> 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g(g(g(g(1)))), g(y0)) -> c2(F(g(g(0)), g(g(g(1))), g(y0))) F(g(g(g(y0))), g(g(g(g(g(y1))))), g(y2)) -> c2(F(g(g(g(y0))), g(g(g(g(y1)))), g(y2))) F(g(g(g(0))), g(g(g(g(1)))), g(y0)) -> c2(F(g(g(g(0))), g(g(g(1))), g(y0))) F(g(g(g(y0))), g(g(g(g(y1)))), g(g(y2))) -> c2(F(g(g(g(y0))), g(g(g(y1))), g(g(y2)))) F(g(g(g(g(g(y0))))), g(g(g(g(y1)))), g(y2)) -> c2(F(g(g(g(g(g(y0))))), g(g(g(y1))), g(y2))) F(g(g(g(g(y0)))), g(g(g(g(g(y1))))), g(y2)) -> c2(F(g(g(g(g(y0)))), g(g(g(g(y1)))), g(y2))) F(g(g(g(g(0)))), g(g(g(g(1)))), g(y0)) -> c2(F(g(g(g(g(0)))), g(g(g(1))), g(y0))) F(g(g(g(g(y0)))), g(g(g(g(y1)))), g(g(y2))) -> c2(F(g(g(g(g(y0)))), g(g(g(y1))), g(g(y2)))) F(g(z0), g(g(g(g(y1)))), z2) -> c2(F(g(z0), g(g(g(y1))), z2)) F(g(0), g(g(g(1))), z2) -> c2(F(g(0), g(g(1)), z2)) F(g(0), g(g(1)), g(g(y0))) -> c2(F(g(0), g(1), g(g(y0)))) F(g(0), g(g(1)), g(g(g(y0)))) -> c2(F(g(0), g(1), g(g(g(y0))))) F(g(z0), g(g(g(g(g(y1))))), g(y2)) -> c2(F(g(z0), g(g(g(g(y1)))), g(y2))) F(g(0), g(g(g(g(1)))), 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g(y0)) -> c2(F(g(g(g(0))), g(g(g(g(1)))), g(y0))) F(g(g(g(y0))), g(g(g(g(g(y1))))), g(g(y2))) -> c2(F(g(g(g(y0))), g(g(g(g(y1)))), g(g(y2)))) F(g(g(g(g(g(y0))))), g(g(g(g(g(y1))))), g(y2)) -> c2(F(g(g(g(g(g(y0))))), g(g(g(g(y1)))), g(y2))) F(g(g(g(g(y0)))), g(g(g(g(g(g(y1)))))), g(y2)) -> c2(F(g(g(g(g(y0)))), g(g(g(g(g(y1))))), g(y2))) F(g(g(g(g(0)))), g(g(g(g(g(1))))), g(y0)) -> c2(F(g(g(g(g(0)))), g(g(g(g(1)))), g(y0))) F(g(g(g(g(y0)))), g(g(g(g(g(y1))))), g(g(y2))) -> c2(F(g(g(g(g(y0)))), g(g(g(g(y1)))), g(g(y2)))) F(g(0), g(g(g(1))), g(g(y0))) -> c2(F(g(0), g(g(1)), g(g(y0)))) F(g(0), g(g(g(1))), g(g(g(y0)))) -> c2(F(g(0), g(g(1)), g(g(g(y0))))) F(g(z0), g(g(g(g(g(g(y1)))))), g(z2)) -> c2(F(g(z0), g(g(g(g(g(y1))))), g(z2))) F(g(0), g(g(g(g(g(1))))), g(z2)) -> c2(F(g(0), g(g(g(g(1)))), g(z2))) F(g(z0), g(g(g(g(g(y1))))), g(g(y2))) -> c2(F(g(z0), g(g(g(g(y1)))), g(g(y2)))) F(g(g(0)), g(g(g(g(1)))), g(g(y0))) -> c2(F(g(g(0)), g(g(g(1))), g(g(y0)))) F(g(g(0)), g(g(g(g(1)))), g(g(g(y0)))) -> c2(F(g(g(0)), g(g(g(1))), g(g(g(y0))))) F(g(g(y0)), g(g(g(g(g(g(g(y1))))))), g(z2)) -> c2(F(g(g(y0)), g(g(g(g(g(g(y1)))))), g(z2))) F(g(g(y0)), g(g(g(g(g(g(y1)))))), g(g(y2))) -> c2(F(g(g(y0)), g(g(g(g(g(y1))))), g(g(y2)))) F(g(g(0)), g(g(g(g(g(g(1)))))), g(z2)) -> c2(F(g(g(0)), g(g(g(g(g(1))))), g(z2))) F(g(g(g(y0))), g(g(g(g(g(g(g(y1))))))), g(z2)) -> c2(F(g(g(g(y0))), g(g(g(g(g(g(y1)))))), g(z2))) F(g(g(g(0))), g(g(g(g(g(g(1)))))), g(z2)) -> c2(F(g(g(g(0))), g(g(g(g(g(1))))), g(z2))) F(g(g(g(y0))), g(g(g(g(g(g(y1)))))), g(g(y2))) -> c2(F(g(g(g(y0))), g(g(g(g(g(y1))))), g(g(y2)))) F(g(g(g(g(g(y0))))), g(g(g(g(g(g(y1)))))), g(z2)) -> c2(F(g(g(g(g(g(y0))))), g(g(g(g(g(y1))))), g(z2))) F(g(g(g(g(y0)))), g(g(g(g(g(g(g(y1))))))), g(z2)) -> c2(F(g(g(g(g(y0)))), g(g(g(g(g(g(y1)))))), g(z2))) F(g(g(g(g(0)))), g(g(g(g(g(g(1)))))), g(z2)) -> c2(F(g(g(g(g(0)))), g(g(g(g(g(1))))), g(z2))) F(g(g(g(g(y0)))), g(g(g(g(g(g(y1)))))), g(g(y2))) -> c2(F(g(g(g(g(y0)))), g(g(g(g(g(y1))))), 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c3(F(g(g(g(g(0)))), g(1), g(z2))) F(g(g(g(g(y0)))), g(y1), g(g(g(y2)))) -> c3(F(g(g(g(g(y0)))), g(y1), g(g(y2)))) F(g(g(0)), 1, g(g(g(y0)))) -> c3(F(g(g(0)), 1, g(g(y0)))) F(g(g(0)), 1, g(g(g(g(y0))))) -> c3(F(g(g(0)), 1, g(g(g(y0))))) F(0, g(1), g(g(g(y0)))) -> c3(F(0, g(1), g(g(y0)))) F(0, g(1), g(g(g(g(y0))))) -> c3(F(0, g(1), g(g(g(y0))))) F(z0, g(g(g(y1))), g(g(z2))) -> c3(F(z0, g(g(g(y1))), g(z2))) F(g(0), g(g(1)), g(g(z2))) -> c3(F(g(0), g(g(1)), g(z2))) F(g(y0), g(g(g(y1))), g(g(z2))) -> c3(F(g(y0), g(g(g(y1))), g(z2))) F(z0, g(g(y1)), g(g(g(y2)))) -> c3(F(z0, g(g(y1)), g(g(y2)))) F(g(y0), g(g(y1)), g(g(g(y2)))) -> c3(F(g(y0), g(g(y1)), g(g(y2)))) F(0, g(g(1)), g(g(z2))) -> c3(F(0, g(g(1)), g(z2))) F(g(g(y0)), g(g(g(y1))), g(g(z2))) -> c3(F(g(g(y0)), g(g(g(y1))), g(z2))) F(g(g(0)), g(g(1)), g(g(z2))) -> c3(F(g(g(0)), g(g(1)), g(z2))) F(g(g(y0)), g(g(y1)), g(g(g(y2)))) -> c3(F(g(g(y0)), g(g(y1)), g(g(y2)))) F(g(g(g(y0))), g(g(g(y1))), g(g(z2))) -> c3(F(g(g(g(y0))), g(g(g(y1))), g(z2))) F(g(g(g(0))), g(g(1)), g(g(z2))) -> c3(F(g(g(g(0))), g(g(1)), g(z2))) F(g(g(g(y0))), g(g(y1)), g(g(g(y2)))) -> c3(F(g(g(g(y0))), g(g(y1)), g(g(y2)))) F(g(g(g(g(g(y0))))), g(g(y1)), g(g(z2))) -> c3(F(g(g(g(g(g(y0))))), g(g(y1)), g(z2))) F(g(g(g(g(y0)))), g(g(g(y1))), g(g(z2))) -> c3(F(g(g(g(g(y0)))), g(g(g(y1))), g(z2))) F(g(g(g(g(0)))), g(g(1)), g(g(z2))) -> c3(F(g(g(g(g(0)))), g(g(1)), g(z2))) F(g(g(g(g(y0)))), g(g(y1)), g(g(g(y2)))) -> c3(F(g(g(g(g(y0)))), g(g(y1)), g(g(y2)))) F(0, g(g(1)), g(g(g(y0)))) -> c3(F(0, g(g(1)), g(g(y0)))) F(0, g(g(1)), g(g(g(g(y0))))) -> c3(F(0, g(g(1)), g(g(g(y0))))) F(g(0), g(1), g(g(g(y0)))) -> c3(F(g(0), g(1), g(g(y0)))) F(g(0), g(1), g(g(g(g(y0))))) -> c3(F(g(0), g(1), g(g(g(y0))))) F(g(g(0)), g(1), g(g(g(y0)))) -> c3(F(g(g(0)), g(1), g(g(y0)))) F(g(g(0)), g(1), g(g(g(g(y0))))) -> c3(F(g(g(0)), g(1), g(g(g(y0))))) F(z0, g(g(g(g(y1)))), g(g(z2))) -> c3(F(z0, g(g(g(g(y1)))), g(z2))) F(g(0), g(g(g(1))), g(g(z2))) -> c3(F(g(0), g(g(g(1))), g(z2))) F(g(y0), g(g(g(g(y1)))), g(g(z2))) -> c3(F(g(y0), g(g(g(g(y1)))), g(z2))) F(z0, g(g(g(y1))), g(g(g(y2)))) -> c3(F(z0, g(g(g(y1))), g(g(y2)))) F(g(y0), g(g(g(y1))), g(g(g(y2)))) -> c3(F(g(y0), g(g(g(y1))), g(g(y2)))) F(0, g(g(g(1))), g(g(z2))) -> c3(F(0, g(g(g(1))), g(z2))) F(g(g(y0)), g(g(g(g(y1)))), g(g(z2))) -> c3(F(g(g(y0)), g(g(g(g(y1)))), g(z2))) F(g(g(0)), g(g(g(1))), g(g(z2))) -> c3(F(g(g(0)), g(g(g(1))), g(z2))) F(g(g(y0)), g(g(g(y1))), g(g(g(y2)))) -> c3(F(g(g(y0)), g(g(g(y1))), g(g(y2)))) F(g(g(g(y0))), g(g(g(g(y1)))), g(g(z2))) -> c3(F(g(g(g(y0))), g(g(g(g(y1)))), g(z2))) F(g(g(g(0))), g(g(g(1))), g(g(z2))) -> c3(F(g(g(g(0))), g(g(g(1))), g(z2))) F(g(g(g(y0))), g(g(g(y1))), g(g(g(y2)))) -> c3(F(g(g(g(y0))), g(g(g(y1))), g(g(y2)))) F(g(g(g(g(g(y0))))), g(g(g(y1))), g(g(z2))) -> c3(F(g(g(g(g(g(y0))))), g(g(g(y1))), g(z2))) F(g(g(g(g(y0)))), g(g(g(g(y1)))), g(g(z2))) -> c3(F(g(g(g(g(y0)))), g(g(g(g(y1)))), g(z2))) F(g(g(g(g(0)))), g(g(g(1))), g(g(z2))) -> c3(F(g(g(g(g(0)))), g(g(g(1))), g(z2))) F(g(g(g(g(y0)))), g(g(g(y1))), g(g(g(y2)))) -> c3(F(g(g(g(g(y0)))), g(g(g(y1))), g(g(y2)))) F(0, g(g(g(1))), g(g(g(y0)))) -> c3(F(0, g(g(g(1))), g(g(y0)))) F(0, g(g(g(1))), g(g(g(g(y0))))) -> c3(F(0, g(g(g(1))), g(g(g(y0))))) F(g(g(0)), g(g(1)), g(g(g(y0)))) -> c3(F(g(g(0)), g(g(1)), g(g(y0)))) F(g(g(0)), g(g(1)), g(g(g(g(y0))))) -> c3(F(g(g(0)), g(g(1)), g(g(g(y0))))) F(g(g(y0)), g(g(g(g(g(y1))))), g(g(z2))) -> c3(F(g(g(y0)), g(g(g(g(g(y1))))), g(z2))) F(g(g(y0)), g(g(g(g(y1)))), g(g(g(y2)))) -> c3(F(g(g(y0)), g(g(g(g(y1)))), g(g(y2)))) F(g(g(0)), g(g(g(g(1)))), g(g(z2))) -> c3(F(g(g(0)), g(g(g(g(1)))), g(z2))) F(g(g(g(y0))), g(g(g(g(g(y1))))), g(g(z2))) -> c3(F(g(g(g(y0))), g(g(g(g(g(y1))))), g(z2))) F(g(g(g(0))), g(g(g(g(1)))), g(g(z2))) -> c3(F(g(g(g(0))), g(g(g(g(1)))), g(z2))) F(g(g(g(y0))), g(g(g(g(y1)))), g(g(g(y2)))) -> c3(F(g(g(g(y0))), g(g(g(g(y1)))), g(g(y2)))) F(g(g(g(g(g(y0))))), g(g(g(g(y1)))), g(g(z2))) -> c3(F(g(g(g(g(g(y0))))), g(g(g(g(y1)))), g(z2))) F(g(g(g(g(y0)))), g(g(g(g(g(y1))))), g(g(z2))) -> c3(F(g(g(g(g(y0)))), g(g(g(g(g(y1))))), g(z2))) F(g(g(g(g(0)))), g(g(g(g(1)))), g(g(z2))) -> c3(F(g(g(g(g(0)))), g(g(g(g(1)))), g(z2))) F(g(g(g(g(y0)))), g(g(g(g(y1)))), g(g(g(y2)))) -> c3(F(g(g(g(g(y0)))), g(g(g(g(y1)))), g(g(y2)))) F(g(0), g(g(1)), g(g(g(y0)))) -> c3(F(g(0), g(g(1)), g(g(y0)))) F(g(0), g(g(1)), g(g(g(g(y0))))) -> c3(F(g(0), g(g(1)), g(g(g(y0))))) F(g(y0), g(g(g(g(g(y1))))), g(g(z2))) -> c3(F(g(y0), g(g(g(g(g(y1))))), g(z2))) F(g(0), g(g(g(g(1)))), g(g(z2))) -> c3(F(g(0), g(g(g(g(1)))), g(z2))) F(g(y0), g(g(g(g(y1)))), g(g(g(y2)))) -> c3(F(g(y0), g(g(g(g(y1)))), g(g(y2)))) F(g(g(0)), g(g(g(1))), g(g(g(y0)))) -> c3(F(g(g(0)), g(g(g(1))), g(g(y0)))) F(g(g(0)), g(g(g(1))), g(g(g(g(y0))))) -> c3(F(g(g(0)), g(g(g(1))), g(g(g(y0))))) F(g(g(y0)), g(g(g(g(g(g(y1)))))), g(g(z2))) -> c3(F(g(g(y0)), g(g(g(g(g(g(y1)))))), g(z2))) F(g(g(y0)), g(g(g(g(g(y1))))), g(g(g(y2)))) -> c3(F(g(g(y0)), g(g(g(g(g(y1))))), g(g(y2)))) F(g(g(0)), g(g(g(g(g(1))))), g(g(z2))) -> c3(F(g(g(0)), g(g(g(g(g(1))))), g(z2))) F(g(g(g(y0))), g(g(g(g(g(g(y1)))))), g(g(z2))) -> c3(F(g(g(g(y0))), g(g(g(g(g(g(y1)))))), g(z2))) F(g(g(g(0))), g(g(g(g(g(1))))), g(g(z2))) -> c3(F(g(g(g(0))), g(g(g(g(g(1))))), g(z2))) F(g(g(g(y0))), g(g(g(g(g(y1))))), g(g(g(y2)))) -> c3(F(g(g(g(y0))), g(g(g(g(g(y1))))), g(g(y2)))) F(g(g(g(g(g(y0))))), g(g(g(g(g(y1))))), g(g(z2))) -> c3(F(g(g(g(g(g(y0))))), g(g(g(g(g(y1))))), g(z2))) F(g(g(g(g(y0)))), g(g(g(g(g(g(y1)))))), g(g(z2))) -> c3(F(g(g(g(g(y0)))), g(g(g(g(g(g(y1)))))), g(z2))) F(g(g(g(g(0)))), g(g(g(g(g(1))))), g(g(z2))) -> c3(F(g(g(g(g(0)))), g(g(g(g(g(1))))), g(z2))) F(g(g(g(g(y0)))), g(g(g(g(g(y1))))), g(g(g(y2)))) -> c3(F(g(g(g(g(y0)))), g(g(g(g(g(y1))))), g(g(y2)))) F(g(0), g(g(g(1))), g(g(g(y0)))) -> c3(F(g(0), g(g(g(1))), g(g(y0)))) F(g(0), g(g(g(1))), g(g(g(g(y0))))) -> c3(F(g(0), g(g(g(1))), g(g(g(y0))))) F(g(y0), g(g(g(g(g(g(y1)))))), g(g(z2))) -> c3(F(g(y0), g(g(g(g(g(g(y1)))))), g(z2))) F(g(0), g(g(g(g(g(1))))), g(g(z2))) -> c3(F(g(0), g(g(g(g(g(1))))), g(z2))) F(g(y0), g(g(g(g(g(y1))))), g(g(g(y2)))) -> c3(F(g(y0), g(g(g(g(g(y1))))), g(g(y2)))) F(g(g(0)), g(g(g(g(1)))), g(g(g(y0)))) -> c3(F(g(g(0)), g(g(g(g(1)))), g(g(y0)))) F(g(g(0)), g(g(g(g(1)))), g(g(g(g(y0))))) -> c3(F(g(g(0)), g(g(g(g(1)))), g(g(g(y0))))) F(g(g(y0)), g(g(g(g(g(g(g(y1))))))), g(g(z2))) -> c3(F(g(g(y0)), g(g(g(g(g(g(g(y1))))))), g(z2))) F(g(g(y0)), g(g(g(g(g(g(y1)))))), g(g(g(y2)))) -> c3(F(g(g(y0)), g(g(g(g(g(g(y1)))))), g(g(y2)))) F(g(g(0)), g(g(g(g(g(g(1)))))), g(g(z2))) -> c3(F(g(g(0)), g(g(g(g(g(g(1)))))), g(z2))) F(g(g(g(y0))), g(g(g(g(g(g(g(y1))))))), g(g(z2))) -> c3(F(g(g(g(y0))), g(g(g(g(g(g(g(y1))))))), g(z2))) F(g(g(g(0))), g(g(g(g(g(g(1)))))), g(g(z2))) -> c3(F(g(g(g(0))), g(g(g(g(g(g(1)))))), g(z2))) F(g(g(g(y0))), g(g(g(g(g(g(y1)))))), g(g(g(y2)))) -> c3(F(g(g(g(y0))), g(g(g(g(g(g(y1)))))), g(g(y2)))) F(g(g(g(g(g(y0))))), g(g(g(g(g(g(y1)))))), g(g(z2))) -> c3(F(g(g(g(g(g(y0))))), g(g(g(g(g(g(y1)))))), g(z2))) F(g(g(g(g(y0)))), g(g(g(g(g(g(g(y1))))))), g(g(z2))) -> c3(F(g(g(g(g(y0)))), g(g(g(g(g(g(g(y1))))))), g(z2))) F(g(g(g(g(0)))), g(g(g(g(g(g(1)))))), g(g(z2))) -> c3(F(g(g(g(g(0)))), g(g(g(g(g(g(1)))))), g(z2))) F(g(g(g(g(y0)))), g(g(g(g(g(g(y1)))))), g(g(g(y2)))) -> c3(F(g(g(g(g(y0)))), g(g(g(g(g(g(y1)))))), g(g(y2)))) F(0, 1, g(g(g(g(g(y0)))))) -> c3(F(0, 1, g(g(g(g(y0)))))) S tuples: F(g(g(0)), 1, z2) -> c1(F(g(0), 1, z2)) F(g(g(g(y0))), z1, z2) -> c1(F(g(g(y0)), z1, z2)) F(g(g(z0)), g(y1), z2) -> c1(F(g(z0), g(y1), z2)) F(g(g(z0)), z1, g(y2)) -> c1(F(g(z0), z1, g(y2))) F(g(g(z0)), g(g(y1)), z2) -> c1(F(g(z0), g(g(y1)), z2)) F(g(g(z0)), g(y1), g(y2)) -> c1(F(g(z0), g(y1), g(y2))) F(g(g(0)), g(1), z2) -> c1(F(g(0), g(1), z2)) F(g(g(g(y0))), g(y1), z2) -> c1(F(g(g(y0)), g(y1), z2)) F(g(g(z0)), z1, g(g(y2))) -> c1(F(g(z0), z1, g(g(y2)))) F(g(g(0)), 1, g(y0)) -> c1(F(g(0), 1, g(y0))) F(g(g(g(y0))), z1, g(y2)) -> c1(F(g(g(y0)), z1, g(y2))) F(g(g(z0)), g(g(y1)), g(y2)) -> c1(F(g(z0), g(g(y1)), g(y2))) F(g(g(z0)), g(y1), g(g(y2))) -> c1(F(g(z0), g(y1), g(g(y2)))) F(g(g(0)), g(1), g(y0)) -> c1(F(g(0), g(1), g(y0))) F(g(g(g(y0))), g(y1), g(y2)) -> c1(F(g(g(y0)), g(y1), g(y2))) F(g(0), g(1), z2) -> c1(F(0, g(1), z2)) F(g(z0), g(g(y1)), z2) -> c1(F(z0, g(g(y1)), z2)) F(g(z0), g(z1), g(y2)) -> c1(F(z0, g(z1), g(y2))) F(g(z0), g(z1), g(g(y2))) -> c1(F(z0, g(z1), g(g(y2)))) F(g(0), g(1), g(y0)) -> c1(F(0, g(1), g(y0))) F(g(z0), g(g(y1)), g(y2)) -> c1(F(z0, g(g(y1)), g(y2))) F(g(g(g(g(y0)))), g(z1), z2) -> c1(F(g(g(g(y0))), g(z1), z2)) F(g(g(g(y0))), g(g(y1)), z2) -> c1(F(g(g(y0)), g(g(y1)), z2)) F(g(g(g(0))), g(1), z2) -> c1(F(g(g(0)), g(1), z2)) F(g(g(g(y0))), g(z1), g(g(y2))) -> c1(F(g(g(y0)), g(z1), g(g(y2)))) F(g(g(g(g(y0)))), g(z1), g(y2)) -> c1(F(g(g(g(y0))), g(z1), g(y2))) F(g(g(g(y0))), g(g(y1)), g(y2)) -> c1(F(g(g(y0)), g(g(y1)), g(y2))) F(g(g(g(0))), g(1), g(y0)) -> c1(F(g(g(0)), g(1), g(y0))) F(0, 1, g(y2)) -> c(F(g(g(y2)), g(g(y2)), g(y2))) F(0, 1, g(g(y2))) -> c(F(g(g(g(y2))), g(g(g(y2))), g(g(y2)))) F(0, 1, g(g(g(y0)))) -> c(F(g(g(g(g(y0)))), g(g(g(g(y0)))), g(g(g(y0))))) F(g(0), 1, g(y0)) -> c1(F(0, 1, g(y0))) F(g(0), 1, g(g(y2))) -> c1(F(0, 1, g(g(y2)))) F(g(0), 1, g(g(g(y0)))) -> c1(F(0, 1, g(g(g(y0))))) F(g(z0), z1, g(g(y2))) -> c1(F(z0, z1, g(g(y2)))) F(g(g(g(0))), 1, g(z2)) -> c1(F(g(g(0)), 1, g(z2))) F(g(g(g(g(y0)))), z1, g(z2)) -> c1(F(g(g(g(y0))), z1, g(z2))) F(g(g(g(y0))), z1, g(g(y2))) -> c1(F(g(g(y0)), z1, g(g(y2)))) F(g(g(g(g(g(y0))))), g(y1), g(z2)) -> c1(F(g(g(g(g(y0)))), g(y1), g(z2))) F(g(g(g(g(y0)))), g(g(y1)), g(z2)) -> c1(F(g(g(g(y0))), g(g(y1)), g(z2))) F(g(g(g(g(0)))), g(1), g(z2)) -> c1(F(g(g(g(0))), g(1), g(z2))) F(g(g(g(g(y0)))), g(y1), g(g(y2))) -> c1(F(g(g(g(y0))), g(y1), g(g(y2)))) F(g(g(0)), 1, g(g(y0))) -> c1(F(g(0), 1, g(g(y0)))) F(g(g(0)), 1, g(g(g(y0)))) -> c1(F(g(0), 1, g(g(g(y0))))) F(0, g(1), g(y0)) -> c2(F(0, 1, g(y0))) F(0, g(1), g(g(y2))) -> c2(F(0, 1, g(g(y2)))) F(0, g(1), g(g(g(y0)))) -> c2(F(0, 1, g(g(g(y0))))) F(z0, g(g(g(y1))), z2) -> c2(F(z0, g(g(y1)), z2)) F(z0, g(g(z1)), g(y2)) -> c2(F(z0, g(z1), g(y2))) F(g(0), g(g(1)), z2) -> c2(F(g(0), g(1), z2)) F(g(g(y0)), g(g(z1)), z2) -> c2(F(g(g(y0)), g(z1), z2)) F(g(y0), g(g(g(y1))), z2) -> c2(F(g(y0), g(g(y1)), z2)) F(g(y0), g(g(z1)), g(y2)) -> c2(F(g(y0), g(z1), g(y2))) F(z0, g(g(z1)), g(g(y2))) -> c2(F(z0, g(z1), g(g(y2)))) F(g(g(y0)), g(g(z1)), g(y2)) -> c2(F(g(g(y0)), g(z1), g(y2))) F(g(y0), g(g(z1)), g(g(y2))) -> c2(F(g(y0), g(z1), g(g(y2)))) F(0, g(g(1)), g(y0)) -> c2(F(0, g(1), g(y0))) F(z0, g(g(g(y1))), g(y2)) -> c2(F(z0, g(g(y1)), g(y2))) F(g(0), g(g(1)), g(y0)) -> c2(F(g(0), g(1), g(y0))) F(g(y0), g(g(g(y1))), g(y2)) -> c2(F(g(y0), g(g(y1)), g(y2))) F(g(g(g(y0))), g(g(z1)), z2) -> c2(F(g(g(g(y0))), g(z1), z2)) F(g(g(y0)), g(g(g(y1))), z2) -> c2(F(g(g(y0)), g(g(y1)), z2)) F(g(g(0)), g(g(1)), z2) -> c2(F(g(g(0)), g(1), z2)) F(g(g(y0)), g(g(z1)), g(g(y2))) -> c2(F(g(g(y0)), g(z1), g(g(y2)))) F(g(g(g(y0))), g(g(z1)), g(y2)) -> c2(F(g(g(g(y0))), g(z1), g(y2))) F(g(g(y0)), g(g(g(y1))), g(y2)) -> c2(F(g(g(y0)), g(g(y1)), g(y2))) F(g(g(0)), g(g(1)), g(y0)) -> c2(F(g(g(0)), g(1), g(y0))) F(g(g(g(g(y0)))), g(g(z1)), z2) -> c2(F(g(g(g(g(y0)))), g(z1), z2)) F(g(g(g(y0))), g(g(g(y1))), z2) -> c2(F(g(g(g(y0))), g(g(y1)), z2)) F(g(g(g(0))), g(g(1)), z2) -> c2(F(g(g(g(0))), g(1), z2)) F(g(g(g(y0))), g(g(z1)), g(g(y2))) -> c2(F(g(g(g(y0))), g(z1), g(g(y2)))) F(g(g(g(g(y0)))), g(g(z1)), g(y2)) -> c2(F(g(g(g(g(y0)))), g(z1), g(y2))) F(g(g(g(y0))), g(g(g(y1))), g(y2)) -> c2(F(g(g(g(y0))), g(g(y1)), g(y2))) F(g(g(g(0))), g(g(1)), g(y0)) -> c2(F(g(g(g(0))), g(1), g(y0))) F(g(g(g(g(g(y0))))), g(g(z1)), g(y2)) -> c2(F(g(g(g(g(g(y0))))), g(z1), g(y2))) F(g(g(g(g(y0)))), g(g(g(y1))), g(y2)) -> c2(F(g(g(g(g(y0)))), g(g(y1)), g(y2))) F(g(g(g(g(0)))), g(g(1)), g(y0)) -> c2(F(g(g(g(g(0)))), g(1), g(y0))) F(g(g(g(g(y0)))), g(g(z1)), g(g(y2))) -> c2(F(g(g(g(g(y0)))), g(z1), g(g(y2)))) F(0, g(g(1)), g(g(y0))) -> c2(F(0, g(1), g(g(y0)))) F(0, g(g(1)), g(g(g(y0)))) -> c2(F(0, g(1), g(g(g(y0))))) F(z0, g(z1), g(g(y2))) -> c2(F(z0, z1, g(g(y2)))) F(g(0), g(1), g(z2)) -> c2(F(g(0), 1, g(z2))) F(g(g(y0)), g(z1), g(z2)) -> c2(F(g(g(y0)), z1, g(z2))) F(g(y0), g(z1), g(g(y2))) -> c2(F(g(y0), z1, g(g(y2)))) F(g(g(0)), g(1), g(z2)) -> c2(F(g(g(0)), 1, g(z2))) F(g(g(g(y0))), g(z1), g(z2)) -> c2(F(g(g(g(y0))), z1, g(z2))) F(g(g(y0)), g(z1), g(g(y2))) -> c2(F(g(g(y0)), z1, g(g(y2)))) F(g(0), g(1), g(g(y0))) -> c2(F(g(0), 1, g(g(y0)))) F(g(0), g(1), g(g(g(y0)))) -> c2(F(g(0), 1, g(g(g(y0))))) F(g(g(g(0))), g(1), g(z2)) -> c2(F(g(g(g(0))), 1, g(z2))) F(g(g(g(g(y0)))), g(z1), g(z2)) -> c2(F(g(g(g(g(y0)))), z1, g(z2))) F(g(g(g(y0))), g(z1), g(g(y2))) -> c2(F(g(g(g(y0))), z1, g(g(y2)))) F(g(g(0)), g(1), g(g(y0))) -> c2(F(g(g(0)), 1, g(g(y0)))) F(g(g(0)), g(1), g(g(g(y0)))) -> c2(F(g(g(0)), 1, g(g(g(y0))))) F(z0, g(g(g(g(y1)))), g(z2)) -> c2(F(z0, g(g(g(y1))), g(z2))) F(g(0), g(g(g(1))), g(z2)) -> c2(F(g(0), g(g(1)), g(z2))) F(g(y0), g(g(g(g(y1)))), g(z2)) -> c2(F(g(y0), g(g(g(y1))), g(z2))) F(z0, g(g(g(y1))), g(g(y2))) -> c2(F(z0, g(g(y1)), g(g(y2)))) F(g(y0), g(g(g(y1))), g(g(y2))) -> c2(F(g(y0), g(g(y1)), g(g(y2)))) F(0, g(g(g(1))), g(z2)) -> c2(F(0, g(g(1)), g(z2))) F(g(g(y0)), g(g(g(g(y1)))), g(z2)) -> c2(F(g(g(y0)), g(g(g(y1))), g(z2))) F(g(g(0)), g(g(g(1))), g(z2)) -> c2(F(g(g(0)), g(g(1)), g(z2))) F(g(g(y0)), g(g(g(y1))), g(g(y2))) -> c2(F(g(g(y0)), g(g(y1)), g(g(y2)))) F(g(g(g(y0))), g(g(g(g(y1)))), g(z2)) -> c2(F(g(g(g(y0))), g(g(g(y1))), g(z2))) F(g(g(g(0))), g(g(g(1))), g(z2)) -> c2(F(g(g(g(0))), g(g(1)), g(z2))) F(g(g(g(y0))), g(g(g(y1))), g(g(y2))) -> c2(F(g(g(g(y0))), g(g(y1)), g(g(y2)))) F(g(g(g(g(g(y0))))), g(g(g(y1))), g(z2)) -> c2(F(g(g(g(g(g(y0))))), g(g(y1)), g(z2))) F(g(g(g(g(y0)))), g(g(g(g(y1)))), g(z2)) -> c2(F(g(g(g(g(y0)))), g(g(g(y1))), g(z2))) F(g(g(g(g(0)))), g(g(g(1))), g(z2)) -> c2(F(g(g(g(g(0)))), g(g(1)), g(z2))) F(g(g(g(g(y0)))), g(g(g(y1))), g(g(y2))) -> c2(F(g(g(g(g(y0)))), g(g(y1)), g(g(y2)))) F(0, g(g(g(1))), g(g(y0))) -> c2(F(0, g(g(1)), g(g(y0)))) F(0, g(g(g(1))), g(g(g(y0)))) -> c2(F(0, g(g(1)), g(g(g(y0))))) F(g(g(0)), g(1), z2) -> c2(F(g(g(0)), 1, z2)) F(g(g(g(y0))), g(z1), z2) -> c2(F(g(g(g(y0))), z1, z2)) F(g(g(z0)), g(g(g(g(y1)))), z2) -> c2(F(g(g(z0)), g(g(g(y1))), z2)) F(g(g(0)), g(g(g(1))), z2) -> c2(F(g(g(0)), g(g(1)), z2)) F(g(g(g(g(y0)))), g(g(g(y1))), z2) -> c2(F(g(g(g(g(y0)))), g(g(y1)), z2)) F(g(g(g(y0))), g(g(g(g(y1)))), z2) -> c2(F(g(g(g(y0))), g(g(g(y1))), z2)) F(g(g(g(0))), g(g(g(1))), z2) -> c2(F(g(g(g(0))), g(g(1)), z2)) F(g(g(0)), g(g(1)), g(g(y0))) -> c2(F(g(g(0)), g(1), g(g(y0)))) F(g(g(0)), g(g(1)), g(g(g(y0)))) -> c2(F(g(g(0)), g(1), g(g(g(y0))))) F(g(g(z0)), g(g(g(g(g(y1))))), g(y2)) -> c2(F(g(g(z0)), g(g(g(g(y1)))), g(y2))) F(g(g(z0)), g(g(g(g(y1)))), g(g(y2))) -> c2(F(g(g(z0)), g(g(g(y1))), g(g(y2)))) F(g(g(0)), g(g(g(g(1)))), g(y0)) -> c2(F(g(g(0)), g(g(g(1))), g(y0))) F(g(g(g(y0))), g(g(g(g(g(y1))))), g(y2)) -> c2(F(g(g(g(y0))), g(g(g(g(y1)))), g(y2))) F(g(g(g(0))), g(g(g(g(1)))), g(y0)) -> c2(F(g(g(g(0))), g(g(g(1))), g(y0))) F(g(g(g(y0))), g(g(g(g(y1)))), g(g(y2))) -> c2(F(g(g(g(y0))), g(g(g(y1))), g(g(y2)))) F(g(g(g(g(g(y0))))), g(g(g(g(y1)))), g(y2)) -> c2(F(g(g(g(g(g(y0))))), g(g(g(y1))), g(y2))) F(g(g(g(g(y0)))), g(g(g(g(g(y1))))), g(y2)) -> c2(F(g(g(g(g(y0)))), g(g(g(g(y1)))), g(y2))) F(g(g(g(g(0)))), g(g(g(g(1)))), g(y0)) -> c2(F(g(g(g(g(0)))), g(g(g(1))), g(y0))) F(g(g(g(g(y0)))), g(g(g(g(y1)))), g(g(y2))) -> c2(F(g(g(g(g(y0)))), g(g(g(y1))), g(g(y2)))) F(g(z0), g(g(g(g(y1)))), z2) -> c2(F(g(z0), g(g(g(y1))), z2)) F(g(0), g(g(g(1))), z2) -> c2(F(g(0), g(g(1)), z2)) F(g(0), g(g(1)), g(g(y0))) -> c2(F(g(0), g(1), g(g(y0)))) F(g(0), g(g(1)), g(g(g(y0)))) -> c2(F(g(0), g(1), g(g(g(y0))))) F(g(z0), g(g(g(g(g(y1))))), g(y2)) -> c2(F(g(z0), g(g(g(g(y1)))), g(y2))) F(g(0), g(g(g(g(1)))), g(y0)) -> c2(F(g(0), g(g(g(1))), g(y0))) F(g(z0), g(g(g(g(y1)))), g(g(y2))) -> c2(F(g(z0), g(g(g(y1))), g(g(y2)))) F(g(g(y0)), g(g(g(g(g(y1))))), z2) -> c2(F(g(g(y0)), g(g(g(g(y1)))), z2)) F(g(g(0)), g(g(g(g(1)))), z2) -> c2(F(g(g(0)), g(g(g(1))), z2)) F(g(g(g(g(y0)))), g(g(g(g(y1)))), z2) -> c2(F(g(g(g(g(y0)))), g(g(g(y1))), z2)) F(g(g(g(y0))), g(g(g(g(g(y1))))), z2) -> c2(F(g(g(g(y0))), g(g(g(g(y1)))), z2)) F(g(g(g(0))), g(g(g(g(1)))), z2) -> c2(F(g(g(g(0))), g(g(g(1))), z2)) F(g(g(0)), g(g(g(1))), g(g(y0))) -> c2(F(g(g(0)), g(g(1)), g(g(y0)))) F(g(g(0)), g(g(g(1))), g(g(g(y0)))) -> c2(F(g(g(0)), g(g(1)), g(g(g(y0))))) F(g(g(y0)), g(g(g(g(g(g(y1)))))), g(y2)) -> c2(F(g(g(y0)), g(g(g(g(g(y1))))), g(y2))) F(g(g(y0)), g(g(g(g(g(y1))))), g(g(y2))) -> c2(F(g(g(y0)), g(g(g(g(y1)))), g(g(y2)))) F(g(g(0)), g(g(g(g(g(1))))), g(y0)) -> c2(F(g(g(0)), g(g(g(g(1)))), g(y0))) F(g(g(g(y0))), g(g(g(g(g(g(y1)))))), g(y2)) -> c2(F(g(g(g(y0))), g(g(g(g(g(y1))))), g(y2))) F(g(g(g(0))), g(g(g(g(g(1))))), g(y0)) -> c2(F(g(g(g(0))), g(g(g(g(1)))), g(y0))) F(g(g(g(y0))), g(g(g(g(g(y1))))), g(g(y2))) -> c2(F(g(g(g(y0))), g(g(g(g(y1)))), g(g(y2)))) F(g(g(g(g(g(y0))))), g(g(g(g(g(y1))))), g(y2)) -> c2(F(g(g(g(g(g(y0))))), g(g(g(g(y1)))), g(y2))) F(g(g(g(g(y0)))), g(g(g(g(g(g(y1)))))), g(y2)) -> c2(F(g(g(g(g(y0)))), g(g(g(g(g(y1))))), g(y2))) F(g(g(g(g(0)))), g(g(g(g(g(1))))), g(y0)) -> c2(F(g(g(g(g(0)))), g(g(g(g(1)))), g(y0))) F(g(g(g(g(y0)))), g(g(g(g(g(y1))))), g(g(y2))) -> c2(F(g(g(g(g(y0)))), g(g(g(g(y1)))), g(g(y2)))) F(g(0), g(g(g(1))), g(g(y0))) -> c2(F(g(0), g(g(1)), g(g(y0)))) F(g(0), g(g(g(1))), g(g(g(y0)))) -> c2(F(g(0), g(g(1)), g(g(g(y0))))) F(g(z0), g(g(g(g(g(g(y1)))))), g(z2)) -> c2(F(g(z0), g(g(g(g(g(y1))))), g(z2))) F(g(0), g(g(g(g(g(1))))), g(z2)) -> c2(F(g(0), g(g(g(g(1)))), g(z2))) F(g(z0), g(g(g(g(g(y1))))), g(g(y2))) -> c2(F(g(z0), g(g(g(g(y1)))), g(g(y2)))) F(g(g(0)), g(g(g(g(1)))), g(g(y0))) -> c2(F(g(g(0)), g(g(g(1))), g(g(y0)))) F(g(g(0)), g(g(g(g(1)))), g(g(g(y0)))) -> c2(F(g(g(0)), g(g(g(1))), g(g(g(y0))))) F(g(g(y0)), g(g(g(g(g(g(g(y1))))))), g(z2)) -> c2(F(g(g(y0)), g(g(g(g(g(g(y1)))))), g(z2))) F(g(g(y0)), g(g(g(g(g(g(y1)))))), g(g(y2))) -> c2(F(g(g(y0)), g(g(g(g(g(y1))))), g(g(y2)))) F(g(g(0)), g(g(g(g(g(g(1)))))), g(z2)) -> c2(F(g(g(0)), g(g(g(g(g(1))))), g(z2))) F(g(g(g(y0))), g(g(g(g(g(g(g(y1))))))), g(z2)) -> c2(F(g(g(g(y0))), g(g(g(g(g(g(y1)))))), g(z2))) F(g(g(g(0))), g(g(g(g(g(g(1)))))), g(z2)) -> c2(F(g(g(g(0))), g(g(g(g(g(1))))), g(z2))) F(g(g(g(y0))), g(g(g(g(g(g(y1)))))), g(g(y2))) -> c2(F(g(g(g(y0))), g(g(g(g(g(y1))))), g(g(y2)))) F(g(g(g(g(g(y0))))), g(g(g(g(g(g(y1)))))), g(z2)) -> c2(F(g(g(g(g(g(y0))))), g(g(g(g(g(y1))))), g(z2))) F(g(g(g(g(y0)))), g(g(g(g(g(g(g(y1))))))), g(z2)) -> c2(F(g(g(g(g(y0)))), g(g(g(g(g(g(y1)))))), g(z2))) F(g(g(g(g(0)))), g(g(g(g(g(g(1)))))), g(z2)) -> c2(F(g(g(g(g(0)))), g(g(g(g(g(1))))), g(z2))) F(g(g(g(g(y0)))), g(g(g(g(g(g(y1)))))), g(g(y2))) -> c2(F(g(g(g(g(y0)))), g(g(g(g(g(y1))))), g(g(y2)))) K tuples: F(g(0), 1, g(z2)) -> c3(F(g(0), 1, z2)) F(g(g(y0)), z1, g(z2)) -> c3(F(g(g(y0)), z1, z2)) F(g(y0), g(y1), g(z2)) -> c3(F(g(y0), g(y1), z2)) F(g(y0), z1, g(g(y2))) -> c3(F(g(y0), z1, g(y2))) F(0, g(1), g(z2)) -> c3(F(0, g(1), z2)) F(z0, g(g(y1)), g(z2)) -> c3(F(z0, g(g(y1)), z2)) F(z0, g(y1), g(g(y2))) -> c3(F(z0, g(y1), g(y2))) F(g(0), g(1), g(z2)) -> c3(F(g(0), g(1), z2)) F(g(g(y0)), g(y1), g(z2)) -> c3(F(g(g(y0)), g(y1), z2)) F(g(y0), g(g(y1)), g(z2)) -> c3(F(g(y0), g(g(y1)), z2)) F(g(y0), g(y1), g(g(y2))) -> c3(F(g(y0), g(y1), g(y2))) F(0, 1, g(g(y0))) -> c3(F(0, 1, g(y0))) F(0, 1, g(g(g(y2)))) -> c3(F(0, 1, g(g(y2)))) F(0, 1, g(g(g(g(y0))))) -> c3(F(0, 1, g(g(g(y0))))) F(z0, z1, g(g(g(y2)))) -> c3(F(z0, z1, g(g(y2)))) F(g(0), 1, g(g(z2))) -> c3(F(g(0), 1, g(z2))) F(g(g(y0)), z1, g(g(z2))) -> c3(F(g(g(y0)), z1, g(z2))) F(g(y0), z1, g(g(g(y2)))) -> c3(F(g(y0), z1, g(g(y2)))) F(0, g(1), g(g(z2))) -> c3(F(0, g(1), g(z2))) F(z0, g(g(y1)), g(g(z2))) -> c3(F(z0, g(g(y1)), g(z2))) F(z0, g(y1), g(g(g(y2)))) -> c3(F(z0, g(y1), g(g(y2)))) F(g(0), g(1), g(g(z2))) -> c3(F(g(0), g(1), g(z2))) F(g(g(y0)), g(y1), g(g(z2))) -> c3(F(g(g(y0)), g(y1), g(z2))) F(g(y0), g(g(y1)), g(g(z2))) -> c3(F(g(y0), g(g(y1)), g(z2))) F(g(y0), g(y1), g(g(g(y2)))) -> c3(F(g(y0), g(y1), g(g(y2)))) F(g(g(0)), 1, g(g(z2))) -> c3(F(g(g(0)), 1, g(z2))) F(g(g(g(y0))), z1, g(g(z2))) -> c3(F(g(g(g(y0))), z1, g(z2))) F(g(g(y0)), g(g(y1)), g(g(z2))) -> c3(F(g(g(y0)), g(g(y1)), g(z2))) F(g(g(0)), g(1), g(g(z2))) -> c3(F(g(g(0)), g(1), g(z2))) F(g(g(g(y0))), g(y1), g(g(z2))) -> c3(F(g(g(g(y0))), g(y1), g(z2))) F(g(g(y0)), z1, g(g(g(y2)))) -> c3(F(g(g(y0)), z1, g(g(y2)))) F(g(g(y0)), g(y1), g(g(g(y2)))) -> c3(F(g(g(y0)), g(y1), g(g(y2)))) F(g(g(g(g(y0)))), g(y1), g(g(z2))) -> c3(F(g(g(g(g(y0)))), g(y1), g(z2))) F(g(g(g(y0))), g(g(y1)), g(g(z2))) -> c3(F(g(g(g(y0))), g(g(y1)), g(z2))) F(g(g(g(0))), g(1), g(g(z2))) -> c3(F(g(g(g(0))), g(1), g(z2))) F(g(g(g(y0))), g(y1), g(g(g(y2)))) -> c3(F(g(g(g(y0))), g(y1), g(g(y2)))) F(g(0), 1, g(g(g(y0)))) -> c3(F(g(0), 1, g(g(y0)))) F(g(0), 1, g(g(g(g(y0))))) -> c3(F(g(0), 1, g(g(g(y0))))) F(g(g(g(0))), 1, g(g(z2))) -> c3(F(g(g(g(0))), 1, g(z2))) F(g(g(g(g(y0)))), z1, g(g(z2))) -> c3(F(g(g(g(g(y0)))), z1, g(z2))) F(g(g(g(y0))), z1, g(g(g(y2)))) -> c3(F(g(g(g(y0))), z1, g(g(y2)))) F(g(g(g(g(g(y0))))), g(y1), g(g(z2))) -> c3(F(g(g(g(g(g(y0))))), g(y1), g(z2))) F(g(g(g(g(y0)))), g(g(y1)), g(g(z2))) -> c3(F(g(g(g(g(y0)))), g(g(y1)), g(z2))) F(g(g(g(g(0)))), g(1), g(g(z2))) -> c3(F(g(g(g(g(0)))), g(1), g(z2))) F(g(g(g(g(y0)))), g(y1), g(g(g(y2)))) -> c3(F(g(g(g(g(y0)))), g(y1), g(g(y2)))) F(g(g(0)), 1, g(g(g(y0)))) -> c3(F(g(g(0)), 1, g(g(y0)))) F(g(g(0)), 1, g(g(g(g(y0))))) -> c3(F(g(g(0)), 1, g(g(g(y0))))) F(0, g(1), g(g(g(y0)))) -> c3(F(0, g(1), g(g(y0)))) F(0, g(1), g(g(g(g(y0))))) -> c3(F(0, g(1), g(g(g(y0))))) F(z0, g(g(g(y1))), g(g(z2))) -> c3(F(z0, g(g(g(y1))), g(z2))) F(g(0), g(g(1)), g(g(z2))) -> c3(F(g(0), g(g(1)), g(z2))) F(g(y0), g(g(g(y1))), g(g(z2))) -> c3(F(g(y0), g(g(g(y1))), g(z2))) F(z0, g(g(y1)), g(g(g(y2)))) -> c3(F(z0, g(g(y1)), g(g(y2)))) F(g(y0), g(g(y1)), g(g(g(y2)))) -> c3(F(g(y0), g(g(y1)), g(g(y2)))) F(0, g(g(1)), g(g(z2))) -> c3(F(0, g(g(1)), g(z2))) F(g(g(y0)), g(g(g(y1))), g(g(z2))) -> c3(F(g(g(y0)), g(g(g(y1))), g(z2))) F(g(g(0)), g(g(1)), g(g(z2))) -> c3(F(g(g(0)), g(g(1)), g(z2))) F(g(g(y0)), g(g(y1)), g(g(g(y2)))) -> c3(F(g(g(y0)), g(g(y1)), g(g(y2)))) F(g(g(g(y0))), g(g(g(y1))), g(g(z2))) -> c3(F(g(g(g(y0))), g(g(g(y1))), g(z2))) F(g(g(g(0))), g(g(1)), g(g(z2))) -> c3(F(g(g(g(0))), g(g(1)), g(z2))) F(g(g(g(y0))), g(g(y1)), g(g(g(y2)))) -> c3(F(g(g(g(y0))), g(g(y1)), g(g(y2)))) F(g(g(g(g(g(y0))))), g(g(y1)), g(g(z2))) -> c3(F(g(g(g(g(g(y0))))), g(g(y1)), g(z2))) F(g(g(g(g(y0)))), g(g(g(y1))), g(g(z2))) -> c3(F(g(g(g(g(y0)))), g(g(g(y1))), g(z2))) F(g(g(g(g(0)))), g(g(1)), g(g(z2))) -> c3(F(g(g(g(g(0)))), g(g(1)), g(z2))) F(g(g(g(g(y0)))), g(g(y1)), g(g(g(y2)))) -> c3(F(g(g(g(g(y0)))), g(g(y1)), g(g(y2)))) F(0, g(g(1)), g(g(g(y0)))) -> c3(F(0, g(g(1)), g(g(y0)))) F(0, g(g(1)), g(g(g(g(y0))))) -> c3(F(0, g(g(1)), g(g(g(y0))))) F(g(0), g(1), g(g(g(y0)))) -> c3(F(g(0), g(1), g(g(y0)))) F(g(0), g(1), g(g(g(g(y0))))) -> c3(F(g(0), g(1), g(g(g(y0))))) F(g(g(0)), g(1), g(g(g(y0)))) -> c3(F(g(g(0)), g(1), g(g(y0)))) F(g(g(0)), g(1), g(g(g(g(y0))))) -> c3(F(g(g(0)), g(1), g(g(g(y0))))) F(z0, g(g(g(g(y1)))), g(g(z2))) -> c3(F(z0, g(g(g(g(y1)))), g(z2))) F(g(0), g(g(g(1))), g(g(z2))) -> c3(F(g(0), g(g(g(1))), g(z2))) F(g(y0), g(g(g(g(y1)))), g(g(z2))) -> c3(F(g(y0), g(g(g(g(y1)))), g(z2))) F(z0, g(g(g(y1))), g(g(g(y2)))) -> c3(F(z0, g(g(g(y1))), g(g(y2)))) F(g(y0), g(g(g(y1))), g(g(g(y2)))) -> c3(F(g(y0), g(g(g(y1))), g(g(y2)))) F(0, g(g(g(1))), g(g(z2))) -> c3(F(0, g(g(g(1))), g(z2))) F(g(g(y0)), g(g(g(g(y1)))), g(g(z2))) -> c3(F(g(g(y0)), g(g(g(g(y1)))), g(z2))) F(g(g(0)), g(g(g(1))), g(g(z2))) -> c3(F(g(g(0)), g(g(g(1))), g(z2))) F(g(g(y0)), g(g(g(y1))), g(g(g(y2)))) -> c3(F(g(g(y0)), g(g(g(y1))), g(g(y2)))) F(g(g(g(y0))), g(g(g(g(y1)))), g(g(z2))) -> c3(F(g(g(g(y0))), g(g(g(g(y1)))), g(z2))) F(g(g(g(0))), g(g(g(1))), g(g(z2))) -> c3(F(g(g(g(0))), g(g(g(1))), g(z2))) F(g(g(g(y0))), g(g(g(y1))), g(g(g(y2)))) -> c3(F(g(g(g(y0))), g(g(g(y1))), g(g(y2)))) F(g(g(g(g(g(y0))))), g(g(g(y1))), g(g(z2))) -> c3(F(g(g(g(g(g(y0))))), g(g(g(y1))), g(z2))) F(g(g(g(g(y0)))), g(g(g(g(y1)))), g(g(z2))) -> c3(F(g(g(g(g(y0)))), g(g(g(g(y1)))), g(z2))) F(g(g(g(g(0)))), g(g(g(1))), g(g(z2))) -> c3(F(g(g(g(g(0)))), g(g(g(1))), g(z2))) F(g(g(g(g(y0)))), g(g(g(y1))), g(g(g(y2)))) -> c3(F(g(g(g(g(y0)))), g(g(g(y1))), g(g(y2)))) F(0, g(g(g(1))), g(g(g(y0)))) -> c3(F(0, g(g(g(1))), g(g(y0)))) F(0, g(g(g(1))), g(g(g(g(y0))))) -> c3(F(0, g(g(g(1))), g(g(g(y0))))) F(g(g(0)), g(g(1)), g(g(g(y0)))) -> c3(F(g(g(0)), g(g(1)), g(g(y0)))) F(g(g(0)), g(g(1)), g(g(g(g(y0))))) -> c3(F(g(g(0)), g(g(1)), g(g(g(y0))))) F(g(g(y0)), g(g(g(g(g(y1))))), g(g(z2))) -> c3(F(g(g(y0)), g(g(g(g(g(y1))))), g(z2))) F(g(g(y0)), g(g(g(g(y1)))), g(g(g(y2)))) -> c3(F(g(g(y0)), g(g(g(g(y1)))), g(g(y2)))) F(g(g(0)), g(g(g(g(1)))), g(g(z2))) -> c3(F(g(g(0)), g(g(g(g(1)))), g(z2))) F(g(g(g(y0))), g(g(g(g(g(y1))))), g(g(z2))) -> c3(F(g(g(g(y0))), g(g(g(g(g(y1))))), g(z2))) F(g(g(g(0))), g(g(g(g(1)))), g(g(z2))) -> c3(F(g(g(g(0))), g(g(g(g(1)))), g(z2))) F(g(g(g(y0))), g(g(g(g(y1)))), g(g(g(y2)))) -> c3(F(g(g(g(y0))), g(g(g(g(y1)))), g(g(y2)))) F(g(g(g(g(g(y0))))), g(g(g(g(y1)))), g(g(z2))) -> c3(F(g(g(g(g(g(y0))))), g(g(g(g(y1)))), g(z2))) F(g(g(g(g(y0)))), g(g(g(g(g(y1))))), g(g(z2))) -> c3(F(g(g(g(g(y0)))), g(g(g(g(g(y1))))), g(z2))) F(g(g(g(g(0)))), g(g(g(g(1)))), g(g(z2))) -> c3(F(g(g(g(g(0)))), g(g(g(g(1)))), g(z2))) F(g(g(g(g(y0)))), g(g(g(g(y1)))), g(g(g(y2)))) -> c3(F(g(g(g(g(y0)))), g(g(g(g(y1)))), g(g(y2)))) F(g(0), g(g(1)), g(g(g(y0)))) -> c3(F(g(0), g(g(1)), g(g(y0)))) F(g(0), g(g(1)), g(g(g(g(y0))))) -> c3(F(g(0), g(g(1)), g(g(g(y0))))) F(g(y0), g(g(g(g(g(y1))))), g(g(z2))) -> c3(F(g(y0), g(g(g(g(g(y1))))), g(z2))) F(g(0), g(g(g(g(1)))), g(g(z2))) -> c3(F(g(0), g(g(g(g(1)))), g(z2))) F(g(y0), g(g(g(g(y1)))), g(g(g(y2)))) -> c3(F(g(y0), g(g(g(g(y1)))), g(g(y2)))) F(g(g(0)), g(g(g(1))), g(g(g(y0)))) -> c3(F(g(g(0)), g(g(g(1))), g(g(y0)))) F(g(g(0)), g(g(g(1))), g(g(g(g(y0))))) -> c3(F(g(g(0)), g(g(g(1))), g(g(g(y0))))) F(g(g(y0)), g(g(g(g(g(g(y1)))))), g(g(z2))) -> c3(F(g(g(y0)), g(g(g(g(g(g(y1)))))), g(z2))) F(g(g(y0)), g(g(g(g(g(y1))))), g(g(g(y2)))) -> c3(F(g(g(y0)), g(g(g(g(g(y1))))), g(g(y2)))) F(g(g(0)), g(g(g(g(g(1))))), g(g(z2))) -> c3(F(g(g(0)), g(g(g(g(g(1))))), g(z2))) F(g(g(g(y0))), g(g(g(g(g(g(y1)))))), g(g(z2))) -> c3(F(g(g(g(y0))), g(g(g(g(g(g(y1)))))), g(z2))) F(g(g(g(0))), g(g(g(g(g(1))))), g(g(z2))) -> c3(F(g(g(g(0))), g(g(g(g(g(1))))), g(z2))) F(g(g(g(y0))), g(g(g(g(g(y1))))), g(g(g(y2)))) -> c3(F(g(g(g(y0))), g(g(g(g(g(y1))))), g(g(y2)))) F(g(g(g(g(g(y0))))), g(g(g(g(g(y1))))), g(g(z2))) -> c3(F(g(g(g(g(g(y0))))), g(g(g(g(g(y1))))), g(z2))) F(g(g(g(g(y0)))), g(g(g(g(g(g(y1)))))), g(g(z2))) -> c3(F(g(g(g(g(y0)))), g(g(g(g(g(g(y1)))))), g(z2))) F(g(g(g(g(0)))), g(g(g(g(g(1))))), g(g(z2))) -> c3(F(g(g(g(g(0)))), g(g(g(g(g(1))))), g(z2))) F(g(g(g(g(y0)))), g(g(g(g(g(y1))))), g(g(g(y2)))) -> c3(F(g(g(g(g(y0)))), g(g(g(g(g(y1))))), g(g(y2)))) F(g(0), g(g(g(1))), g(g(g(y0)))) -> c3(F(g(0), g(g(g(1))), g(g(y0)))) F(g(0), g(g(g(1))), g(g(g(g(y0))))) -> c3(F(g(0), g(g(g(1))), g(g(g(y0))))) F(g(y0), g(g(g(g(g(g(y1)))))), g(g(z2))) -> c3(F(g(y0), g(g(g(g(g(g(y1)))))), g(z2))) F(g(0), g(g(g(g(g(1))))), g(g(z2))) -> c3(F(g(0), g(g(g(g(g(1))))), g(z2))) F(g(y0), g(g(g(g(g(y1))))), g(g(g(y2)))) -> c3(F(g(y0), g(g(g(g(g(y1))))), g(g(y2)))) F(g(g(0)), g(g(g(g(1)))), g(g(g(y0)))) -> c3(F(g(g(0)), g(g(g(g(1)))), g(g(y0)))) F(g(g(0)), g(g(g(g(1)))), g(g(g(g(y0))))) -> c3(F(g(g(0)), g(g(g(g(1)))), g(g(g(y0))))) F(g(g(y0)), g(g(g(g(g(g(g(y1))))))), g(g(z2))) -> c3(F(g(g(y0)), g(g(g(g(g(g(g(y1))))))), g(z2))) F(g(g(y0)), g(g(g(g(g(g(y1)))))), g(g(g(y2)))) -> c3(F(g(g(y0)), g(g(g(g(g(g(y1)))))), g(g(y2)))) F(g(g(0)), g(g(g(g(g(g(1)))))), g(g(z2))) -> c3(F(g(g(0)), g(g(g(g(g(g(1)))))), g(z2))) F(g(g(g(y0))), g(g(g(g(g(g(g(y1))))))), g(g(z2))) -> c3(F(g(g(g(y0))), g(g(g(g(g(g(g(y1))))))), g(z2))) F(g(g(g(0))), g(g(g(g(g(g(1)))))), g(g(z2))) -> c3(F(g(g(g(0))), g(g(g(g(g(g(1)))))), g(z2))) F(g(g(g(y0))), g(g(g(g(g(g(y1)))))), g(g(g(y2)))) -> c3(F(g(g(g(y0))), g(g(g(g(g(g(y1)))))), g(g(y2)))) F(g(g(g(g(g(y0))))), g(g(g(g(g(g(y1)))))), g(g(z2))) -> c3(F(g(g(g(g(g(y0))))), g(g(g(g(g(g(y1)))))), g(z2))) F(g(g(g(g(y0)))), g(g(g(g(g(g(g(y1))))))), g(g(z2))) -> c3(F(g(g(g(g(y0)))), g(g(g(g(g(g(g(y1))))))), g(z2))) F(g(g(g(g(0)))), g(g(g(g(g(g(1)))))), g(g(z2))) -> c3(F(g(g(g(g(0)))), g(g(g(g(g(g(1)))))), g(z2))) F(g(g(g(g(y0)))), g(g(g(g(g(g(y1)))))), g(g(g(y2)))) -> c3(F(g(g(g(g(y0)))), g(g(g(g(g(g(y1)))))), g(g(y2)))) F(0, 1, g(g(g(g(g(y0)))))) -> c3(F(0, 1, g(g(g(g(y0)))))) Defined Rule Symbols:none Defined Pair Symbols: F_3 Compound Symbols: c3_1, c1_1, c_1, c2_1 ---------------------------------------- (69) CdtForwardInstantiationProof (BOTH BOUNDS(ID, ID)) Use forward instantiation to replace F(g(0), 1, g(z2)) -> c3(F(g(0), 1, z2)) by F(g(0), 1, g(g(y0))) -> c3(F(g(0), 1, g(y0))) F(g(0), 1, g(g(g(y2)))) -> c3(F(g(0), 1, g(g(y2)))) F(g(0), 1, g(g(g(g(y0))))) -> c3(F(g(0), 1, g(g(g(y0))))) F(g(0), 1, g(g(g(g(g(y0)))))) -> c3(F(g(0), 1, g(g(g(g(y0)))))) ---------------------------------------- (70) Obligation: Complexity Dependency Tuples Problem Rules:none Tuples: F(g(g(y0)), z1, g(z2)) -> c3(F(g(g(y0)), z1, z2)) F(g(y0), g(y1), g(z2)) -> c3(F(g(y0), g(y1), z2)) F(g(y0), z1, g(g(y2))) -> c3(F(g(y0), z1, g(y2))) F(0, g(1), g(z2)) -> c3(F(0, g(1), z2)) F(z0, g(g(y1)), g(z2)) -> c3(F(z0, g(g(y1)), z2)) F(z0, g(y1), g(g(y2))) -> c3(F(z0, g(y1), g(y2))) F(g(0), g(1), g(z2)) -> c3(F(g(0), g(1), z2)) F(g(g(y0)), g(y1), g(z2)) -> c3(F(g(g(y0)), g(y1), z2)) F(g(y0), g(g(y1)), g(z2)) -> c3(F(g(y0), g(g(y1)), z2)) F(g(y0), g(y1), g(g(y2))) -> c3(F(g(y0), g(y1), g(y2))) F(g(g(0)), 1, z2) -> c1(F(g(0), 1, z2)) F(g(g(g(y0))), z1, z2) -> c1(F(g(g(y0)), z1, z2)) F(g(g(z0)), g(y1), z2) -> c1(F(g(z0), g(y1), z2)) F(g(g(z0)), z1, g(y2)) -> c1(F(g(z0), z1, g(y2))) F(g(g(z0)), g(g(y1)), z2) -> c1(F(g(z0), g(g(y1)), z2)) F(g(g(z0)), g(y1), g(y2)) -> c1(F(g(z0), g(y1), g(y2))) F(g(g(0)), g(1), z2) -> c1(F(g(0), g(1), z2)) F(g(g(g(y0))), g(y1), z2) -> c1(F(g(g(y0)), g(y1), z2)) F(g(g(z0)), z1, g(g(y2))) -> c1(F(g(z0), z1, g(g(y2)))) F(g(g(0)), 1, g(y0)) -> c1(F(g(0), 1, g(y0))) F(g(g(g(y0))), z1, g(y2)) -> c1(F(g(g(y0)), z1, g(y2))) F(g(g(z0)), g(g(y1)), g(y2)) -> c1(F(g(z0), g(g(y1)), g(y2))) F(g(g(z0)), g(y1), g(g(y2))) -> c1(F(g(z0), g(y1), g(g(y2)))) F(g(g(0)), g(1), g(y0)) -> c1(F(g(0), g(1), g(y0))) F(g(g(g(y0))), g(y1), g(y2)) -> c1(F(g(g(y0)), g(y1), g(y2))) F(g(0), g(1), z2) -> c1(F(0, g(1), z2)) F(g(z0), g(g(y1)), z2) -> c1(F(z0, g(g(y1)), z2)) F(g(z0), g(z1), g(y2)) -> c1(F(z0, g(z1), g(y2))) F(g(z0), g(z1), g(g(y2))) -> c1(F(z0, g(z1), g(g(y2)))) F(g(0), g(1), g(y0)) -> c1(F(0, g(1), g(y0))) F(g(z0), g(g(y1)), g(y2)) -> c1(F(z0, g(g(y1)), g(y2))) F(g(g(g(g(y0)))), g(z1), z2) -> c1(F(g(g(g(y0))), g(z1), z2)) F(g(g(g(y0))), g(g(y1)), z2) -> c1(F(g(g(y0)), g(g(y1)), z2)) F(g(g(g(0))), g(1), z2) -> c1(F(g(g(0)), g(1), z2)) F(g(g(g(y0))), g(z1), g(g(y2))) -> c1(F(g(g(y0)), g(z1), g(g(y2)))) F(g(g(g(g(y0)))), g(z1), g(y2)) -> c1(F(g(g(g(y0))), g(z1), g(y2))) F(g(g(g(y0))), g(g(y1)), g(y2)) -> c1(F(g(g(y0)), g(g(y1)), g(y2))) F(g(g(g(0))), g(1), g(y0)) -> c1(F(g(g(0)), g(1), g(y0))) F(0, 1, g(y2)) -> c(F(g(g(y2)), g(g(y2)), g(y2))) F(0, 1, g(g(y2))) -> c(F(g(g(g(y2))), g(g(g(y2))), g(g(y2)))) F(0, 1, g(g(g(y0)))) -> c(F(g(g(g(g(y0)))), g(g(g(g(y0)))), g(g(g(y0))))) F(g(0), 1, g(y0)) -> c1(F(0, 1, g(y0))) F(g(0), 1, g(g(y2))) -> c1(F(0, 1, g(g(y2)))) F(g(0), 1, g(g(g(y0)))) -> c1(F(0, 1, g(g(g(y0))))) F(g(z0), z1, g(g(y2))) -> c1(F(z0, z1, g(g(y2)))) F(g(g(g(0))), 1, g(z2)) -> c1(F(g(g(0)), 1, g(z2))) F(g(g(g(g(y0)))), z1, g(z2)) -> c1(F(g(g(g(y0))), z1, g(z2))) F(g(g(g(y0))), z1, g(g(y2))) -> c1(F(g(g(y0)), z1, g(g(y2)))) F(g(g(g(g(g(y0))))), g(y1), g(z2)) -> c1(F(g(g(g(g(y0)))), g(y1), g(z2))) F(g(g(g(g(y0)))), g(g(y1)), g(z2)) -> c1(F(g(g(g(y0))), g(g(y1)), g(z2))) F(g(g(g(g(0)))), g(1), g(z2)) -> c1(F(g(g(g(0))), g(1), g(z2))) F(g(g(g(g(y0)))), g(y1), g(g(y2))) -> c1(F(g(g(g(y0))), g(y1), g(g(y2)))) F(g(g(0)), 1, g(g(y0))) -> c1(F(g(0), 1, g(g(y0)))) F(g(g(0)), 1, g(g(g(y0)))) -> c1(F(g(0), 1, g(g(g(y0))))) F(0, g(1), g(y0)) -> c2(F(0, 1, g(y0))) F(0, g(1), g(g(y2))) -> c2(F(0, 1, g(g(y2)))) F(0, g(1), g(g(g(y0)))) -> c2(F(0, 1, g(g(g(y0))))) F(z0, g(g(g(y1))), z2) -> c2(F(z0, g(g(y1)), z2)) F(z0, g(g(z1)), g(y2)) -> c2(F(z0, g(z1), g(y2))) F(g(0), g(g(1)), z2) -> c2(F(g(0), g(1), z2)) F(g(g(y0)), g(g(z1)), z2) -> c2(F(g(g(y0)), g(z1), z2)) F(g(y0), g(g(g(y1))), z2) -> c2(F(g(y0), g(g(y1)), z2)) F(g(y0), g(g(z1)), g(y2)) -> c2(F(g(y0), g(z1), g(y2))) F(z0, g(g(z1)), g(g(y2))) -> c2(F(z0, g(z1), g(g(y2)))) F(g(g(y0)), g(g(z1)), g(y2)) -> c2(F(g(g(y0)), g(z1), g(y2))) F(g(y0), g(g(z1)), g(g(y2))) -> c2(F(g(y0), g(z1), g(g(y2)))) F(0, g(g(1)), g(y0)) -> c2(F(0, g(1), g(y0))) F(z0, g(g(g(y1))), g(y2)) -> c2(F(z0, g(g(y1)), g(y2))) F(g(0), g(g(1)), g(y0)) -> c2(F(g(0), g(1), g(y0))) F(g(y0), g(g(g(y1))), g(y2)) -> c2(F(g(y0), g(g(y1)), g(y2))) F(g(g(g(y0))), g(g(z1)), z2) -> c2(F(g(g(g(y0))), g(z1), z2)) F(g(g(y0)), g(g(g(y1))), z2) -> c2(F(g(g(y0)), g(g(y1)), z2)) F(g(g(0)), g(g(1)), z2) -> c2(F(g(g(0)), g(1), z2)) F(g(g(y0)), g(g(z1)), g(g(y2))) -> c2(F(g(g(y0)), g(z1), g(g(y2)))) F(g(g(g(y0))), g(g(z1)), g(y2)) -> c2(F(g(g(g(y0))), g(z1), g(y2))) F(g(g(y0)), g(g(g(y1))), g(y2)) -> c2(F(g(g(y0)), g(g(y1)), g(y2))) F(g(g(0)), g(g(1)), g(y0)) -> c2(F(g(g(0)), g(1), g(y0))) F(g(g(g(g(y0)))), g(g(z1)), z2) -> c2(F(g(g(g(g(y0)))), g(z1), z2)) F(g(g(g(y0))), g(g(g(y1))), z2) -> c2(F(g(g(g(y0))), g(g(y1)), z2)) F(g(g(g(0))), g(g(1)), z2) -> c2(F(g(g(g(0))), g(1), z2)) F(g(g(g(y0))), g(g(z1)), g(g(y2))) -> c2(F(g(g(g(y0))), g(z1), g(g(y2)))) F(g(g(g(g(y0)))), g(g(z1)), g(y2)) -> c2(F(g(g(g(g(y0)))), g(z1), g(y2))) F(g(g(g(y0))), g(g(g(y1))), g(y2)) -> c2(F(g(g(g(y0))), g(g(y1)), g(y2))) F(g(g(g(0))), g(g(1)), g(y0)) -> c2(F(g(g(g(0))), g(1), g(y0))) F(g(g(g(g(g(y0))))), g(g(z1)), g(y2)) -> c2(F(g(g(g(g(g(y0))))), g(z1), g(y2))) F(g(g(g(g(y0)))), g(g(g(y1))), g(y2)) -> c2(F(g(g(g(g(y0)))), g(g(y1)), g(y2))) F(g(g(g(g(0)))), g(g(1)), g(y0)) -> c2(F(g(g(g(g(0)))), g(1), g(y0))) F(g(g(g(g(y0)))), g(g(z1)), g(g(y2))) -> c2(F(g(g(g(g(y0)))), g(z1), g(g(y2)))) F(0, g(g(1)), g(g(y0))) -> c2(F(0, g(1), g(g(y0)))) F(0, g(g(1)), g(g(g(y0)))) -> c2(F(0, g(1), g(g(g(y0))))) F(z0, g(z1), g(g(y2))) -> c2(F(z0, z1, g(g(y2)))) F(g(0), g(1), g(z2)) -> c2(F(g(0), 1, g(z2))) F(g(g(y0)), g(z1), g(z2)) -> c2(F(g(g(y0)), z1, g(z2))) F(g(y0), g(z1), g(g(y2))) -> c2(F(g(y0), z1, g(g(y2)))) F(g(g(0)), g(1), g(z2)) -> c2(F(g(g(0)), 1, g(z2))) F(g(g(g(y0))), g(z1), g(z2)) -> c2(F(g(g(g(y0))), z1, g(z2))) F(g(g(y0)), g(z1), g(g(y2))) -> c2(F(g(g(y0)), z1, g(g(y2)))) F(g(0), g(1), g(g(y0))) -> c2(F(g(0), 1, g(g(y0)))) F(g(0), g(1), g(g(g(y0)))) -> c2(F(g(0), 1, g(g(g(y0))))) F(g(g(g(0))), g(1), g(z2)) -> c2(F(g(g(g(0))), 1, g(z2))) F(g(g(g(g(y0)))), g(z1), g(z2)) -> c2(F(g(g(g(g(y0)))), z1, g(z2))) F(g(g(g(y0))), g(z1), g(g(y2))) -> c2(F(g(g(g(y0))), z1, g(g(y2)))) F(g(g(0)), g(1), g(g(y0))) -> c2(F(g(g(0)), 1, g(g(y0)))) F(g(g(0)), g(1), g(g(g(y0)))) -> c2(F(g(g(0)), 1, g(g(g(y0))))) F(z0, g(g(g(g(y1)))), g(z2)) -> c2(F(z0, g(g(g(y1))), g(z2))) F(g(0), g(g(g(1))), g(z2)) -> c2(F(g(0), g(g(1)), g(z2))) F(g(y0), g(g(g(g(y1)))), g(z2)) -> c2(F(g(y0), g(g(g(y1))), g(z2))) F(z0, g(g(g(y1))), g(g(y2))) -> c2(F(z0, g(g(y1)), g(g(y2)))) F(g(y0), g(g(g(y1))), g(g(y2))) -> c2(F(g(y0), g(g(y1)), g(g(y2)))) F(0, g(g(g(1))), g(z2)) -> c2(F(0, g(g(1)), g(z2))) F(g(g(y0)), g(g(g(g(y1)))), g(z2)) -> c2(F(g(g(y0)), g(g(g(y1))), g(z2))) F(g(g(0)), g(g(g(1))), g(z2)) -> c2(F(g(g(0)), g(g(1)), g(z2))) F(g(g(y0)), g(g(g(y1))), g(g(y2))) -> c2(F(g(g(y0)), g(g(y1)), g(g(y2)))) F(g(g(g(y0))), g(g(g(g(y1)))), g(z2)) -> c2(F(g(g(g(y0))), g(g(g(y1))), g(z2))) F(g(g(g(0))), g(g(g(1))), g(z2)) -> c2(F(g(g(g(0))), g(g(1)), g(z2))) F(g(g(g(y0))), g(g(g(y1))), g(g(y2))) -> c2(F(g(g(g(y0))), g(g(y1)), g(g(y2)))) F(g(g(g(g(g(y0))))), g(g(g(y1))), g(z2)) -> c2(F(g(g(g(g(g(y0))))), g(g(y1)), g(z2))) F(g(g(g(g(y0)))), g(g(g(g(y1)))), g(z2)) -> c2(F(g(g(g(g(y0)))), g(g(g(y1))), g(z2))) F(g(g(g(g(0)))), g(g(g(1))), g(z2)) -> c2(F(g(g(g(g(0)))), g(g(1)), g(z2))) F(g(g(g(g(y0)))), g(g(g(y1))), g(g(y2))) -> c2(F(g(g(g(g(y0)))), g(g(y1)), g(g(y2)))) F(0, g(g(g(1))), g(g(y0))) -> c2(F(0, g(g(1)), g(g(y0)))) F(0, g(g(g(1))), g(g(g(y0)))) -> c2(F(0, g(g(1)), g(g(g(y0))))) F(g(g(0)), g(1), z2) -> c2(F(g(g(0)), 1, z2)) F(g(g(g(y0))), g(z1), z2) -> c2(F(g(g(g(y0))), z1, z2)) F(g(g(z0)), g(g(g(g(y1)))), z2) -> c2(F(g(g(z0)), g(g(g(y1))), z2)) F(g(g(0)), g(g(g(1))), z2) -> c2(F(g(g(0)), g(g(1)), z2)) F(g(g(g(g(y0)))), g(g(g(y1))), z2) -> c2(F(g(g(g(g(y0)))), g(g(y1)), z2)) F(g(g(g(y0))), g(g(g(g(y1)))), z2) -> c2(F(g(g(g(y0))), g(g(g(y1))), z2)) F(g(g(g(0))), g(g(g(1))), z2) -> c2(F(g(g(g(0))), g(g(1)), z2)) F(g(g(0)), g(g(1)), g(g(y0))) -> c2(F(g(g(0)), g(1), g(g(y0)))) F(g(g(0)), g(g(1)), g(g(g(y0)))) -> c2(F(g(g(0)), g(1), g(g(g(y0))))) F(g(g(z0)), g(g(g(g(g(y1))))), g(y2)) -> c2(F(g(g(z0)), g(g(g(g(y1)))), g(y2))) F(g(g(z0)), g(g(g(g(y1)))), g(g(y2))) -> c2(F(g(g(z0)), g(g(g(y1))), g(g(y2)))) F(g(g(0)), g(g(g(g(1)))), g(y0)) -> c2(F(g(g(0)), g(g(g(1))), g(y0))) F(g(g(g(y0))), g(g(g(g(g(y1))))), g(y2)) -> c2(F(g(g(g(y0))), g(g(g(g(y1)))), g(y2))) F(g(g(g(0))), g(g(g(g(1)))), g(y0)) -> c2(F(g(g(g(0))), g(g(g(1))), g(y0))) F(g(g(g(y0))), g(g(g(g(y1)))), g(g(y2))) -> c2(F(g(g(g(y0))), g(g(g(y1))), g(g(y2)))) F(g(g(g(g(g(y0))))), g(g(g(g(y1)))), g(y2)) -> c2(F(g(g(g(g(g(y0))))), g(g(g(y1))), g(y2))) F(g(g(g(g(y0)))), g(g(g(g(g(y1))))), g(y2)) -> c2(F(g(g(g(g(y0)))), g(g(g(g(y1)))), g(y2))) F(g(g(g(g(0)))), g(g(g(g(1)))), g(y0)) -> c2(F(g(g(g(g(0)))), g(g(g(1))), g(y0))) F(g(g(g(g(y0)))), g(g(g(g(y1)))), g(g(y2))) -> c2(F(g(g(g(g(y0)))), g(g(g(y1))), g(g(y2)))) F(g(z0), g(g(g(g(y1)))), z2) -> c2(F(g(z0), g(g(g(y1))), z2)) F(g(0), g(g(g(1))), z2) -> c2(F(g(0), g(g(1)), z2)) F(g(0), g(g(1)), g(g(y0))) -> c2(F(g(0), g(1), g(g(y0)))) F(g(0), g(g(1)), g(g(g(y0)))) -> c2(F(g(0), g(1), g(g(g(y0))))) F(g(z0), g(g(g(g(g(y1))))), g(y2)) -> c2(F(g(z0), g(g(g(g(y1)))), g(y2))) F(g(0), g(g(g(g(1)))), g(y0)) -> c2(F(g(0), g(g(g(1))), g(y0))) F(g(z0), g(g(g(g(y1)))), g(g(y2))) -> c2(F(g(z0), g(g(g(y1))), g(g(y2)))) F(g(g(y0)), g(g(g(g(g(y1))))), z2) -> c2(F(g(g(y0)), g(g(g(g(y1)))), z2)) F(g(g(0)), g(g(g(g(1)))), z2) -> c2(F(g(g(0)), g(g(g(1))), z2)) F(g(g(g(g(y0)))), g(g(g(g(y1)))), z2) -> c2(F(g(g(g(g(y0)))), g(g(g(y1))), z2)) F(g(g(g(y0))), g(g(g(g(g(y1))))), z2) -> c2(F(g(g(g(y0))), g(g(g(g(y1)))), z2)) F(g(g(g(0))), g(g(g(g(1)))), z2) -> c2(F(g(g(g(0))), g(g(g(1))), z2)) F(g(g(0)), g(g(g(1))), g(g(y0))) -> c2(F(g(g(0)), g(g(1)), g(g(y0)))) F(g(g(0)), g(g(g(1))), g(g(g(y0)))) -> c2(F(g(g(0)), g(g(1)), g(g(g(y0))))) F(g(g(y0)), g(g(g(g(g(g(y1)))))), g(y2)) -> c2(F(g(g(y0)), g(g(g(g(g(y1))))), g(y2))) F(g(g(y0)), g(g(g(g(g(y1))))), g(g(y2))) -> c2(F(g(g(y0)), g(g(g(g(y1)))), g(g(y2)))) F(g(g(0)), g(g(g(g(g(1))))), g(y0)) -> c2(F(g(g(0)), g(g(g(g(1)))), g(y0))) F(g(g(g(y0))), g(g(g(g(g(g(y1)))))), g(y2)) -> c2(F(g(g(g(y0))), g(g(g(g(g(y1))))), g(y2))) F(g(g(g(0))), g(g(g(g(g(1))))), g(y0)) -> c2(F(g(g(g(0))), g(g(g(g(1)))), g(y0))) F(g(g(g(y0))), g(g(g(g(g(y1))))), g(g(y2))) -> c2(F(g(g(g(y0))), g(g(g(g(y1)))), g(g(y2)))) F(g(g(g(g(g(y0))))), g(g(g(g(g(y1))))), g(y2)) -> c2(F(g(g(g(g(g(y0))))), g(g(g(g(y1)))), g(y2))) F(g(g(g(g(y0)))), g(g(g(g(g(g(y1)))))), g(y2)) -> c2(F(g(g(g(g(y0)))), g(g(g(g(g(y1))))), g(y2))) F(g(g(g(g(0)))), g(g(g(g(g(1))))), g(y0)) -> 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g(g(g(g(g(g(y1)))))), g(z2))) F(g(g(g(0))), g(g(g(g(g(g(1)))))), g(z2)) -> c2(F(g(g(g(0))), g(g(g(g(g(1))))), g(z2))) F(g(g(g(y0))), g(g(g(g(g(g(y1)))))), g(g(y2))) -> c2(F(g(g(g(y0))), g(g(g(g(g(y1))))), g(g(y2)))) F(g(g(g(g(g(y0))))), g(g(g(g(g(g(y1)))))), g(z2)) -> c2(F(g(g(g(g(g(y0))))), g(g(g(g(g(y1))))), g(z2))) F(g(g(g(g(y0)))), g(g(g(g(g(g(g(y1))))))), g(z2)) -> c2(F(g(g(g(g(y0)))), g(g(g(g(g(g(y1)))))), g(z2))) F(g(g(g(g(0)))), g(g(g(g(g(g(1)))))), g(z2)) -> c2(F(g(g(g(g(0)))), g(g(g(g(g(1))))), g(z2))) F(g(g(g(g(y0)))), g(g(g(g(g(g(y1)))))), g(g(y2))) -> c2(F(g(g(g(g(y0)))), g(g(g(g(g(y1))))), g(g(y2)))) F(0, 1, g(g(y0))) -> c3(F(0, 1, g(y0))) F(0, 1, g(g(g(y2)))) -> c3(F(0, 1, g(g(y2)))) F(0, 1, g(g(g(g(y0))))) -> c3(F(0, 1, g(g(g(y0))))) F(z0, z1, g(g(g(y2)))) -> c3(F(z0, z1, g(g(y2)))) F(g(0), 1, g(g(z2))) -> c3(F(g(0), 1, g(z2))) F(g(g(y0)), z1, g(g(z2))) -> c3(F(g(g(y0)), z1, g(z2))) F(g(y0), z1, g(g(g(y2)))) -> c3(F(g(y0), z1, g(g(y2)))) F(0, g(1), g(g(z2))) -> c3(F(0, g(1), g(z2))) F(z0, g(g(y1)), g(g(z2))) -> c3(F(z0, g(g(y1)), g(z2))) F(z0, g(y1), g(g(g(y2)))) -> c3(F(z0, g(y1), g(g(y2)))) F(g(0), g(1), g(g(z2))) -> c3(F(g(0), g(1), g(z2))) F(g(g(y0)), g(y1), g(g(z2))) -> c3(F(g(g(y0)), g(y1), g(z2))) F(g(y0), g(g(y1)), g(g(z2))) -> c3(F(g(y0), g(g(y1)), g(z2))) F(g(y0), g(y1), g(g(g(y2)))) -> c3(F(g(y0), g(y1), g(g(y2)))) F(g(g(0)), 1, g(g(z2))) -> c3(F(g(g(0)), 1, g(z2))) F(g(g(g(y0))), z1, g(g(z2))) -> c3(F(g(g(g(y0))), z1, g(z2))) F(g(g(y0)), g(g(y1)), g(g(z2))) -> c3(F(g(g(y0)), g(g(y1)), g(z2))) F(g(g(0)), g(1), g(g(z2))) -> c3(F(g(g(0)), g(1), g(z2))) F(g(g(g(y0))), g(y1), g(g(z2))) -> c3(F(g(g(g(y0))), g(y1), g(z2))) F(g(g(y0)), z1, g(g(g(y2)))) -> c3(F(g(g(y0)), z1, g(g(y2)))) F(g(g(y0)), g(y1), g(g(g(y2)))) -> c3(F(g(g(y0)), g(y1), g(g(y2)))) F(g(g(g(g(y0)))), g(y1), g(g(z2))) -> c3(F(g(g(g(g(y0)))), g(y1), g(z2))) F(g(g(g(y0))), g(g(y1)), g(g(z2))) -> c3(F(g(g(g(y0))), g(g(y1)), g(z2))) F(g(g(g(0))), g(1), g(g(z2))) -> c3(F(g(g(g(0))), g(1), g(z2))) F(g(g(g(y0))), g(y1), g(g(g(y2)))) -> c3(F(g(g(g(y0))), g(y1), g(g(y2)))) F(g(0), 1, g(g(g(y0)))) -> c3(F(g(0), 1, g(g(y0)))) F(g(0), 1, g(g(g(g(y0))))) -> c3(F(g(0), 1, g(g(g(y0))))) F(g(g(g(0))), 1, g(g(z2))) -> c3(F(g(g(g(0))), 1, g(z2))) F(g(g(g(g(y0)))), z1, g(g(z2))) -> c3(F(g(g(g(g(y0)))), z1, g(z2))) F(g(g(g(y0))), z1, g(g(g(y2)))) -> c3(F(g(g(g(y0))), z1, g(g(y2)))) F(g(g(g(g(g(y0))))), g(y1), g(g(z2))) -> c3(F(g(g(g(g(g(y0))))), g(y1), g(z2))) F(g(g(g(g(y0)))), g(g(y1)), g(g(z2))) -> c3(F(g(g(g(g(y0)))), g(g(y1)), g(z2))) F(g(g(g(g(0)))), g(1), g(g(z2))) -> c3(F(g(g(g(g(0)))), g(1), g(z2))) F(g(g(g(g(y0)))), g(y1), g(g(g(y2)))) -> c3(F(g(g(g(g(y0)))), g(y1), g(g(y2)))) F(g(g(0)), 1, g(g(g(y0)))) -> c3(F(g(g(0)), 1, g(g(y0)))) F(g(g(0)), 1, g(g(g(g(y0))))) -> c3(F(g(g(0)), 1, g(g(g(y0))))) F(0, g(1), g(g(g(y0)))) -> c3(F(0, g(1), g(g(y0)))) F(0, g(1), g(g(g(g(y0))))) -> c3(F(0, g(1), g(g(g(y0))))) F(z0, g(g(g(y1))), g(g(z2))) -> c3(F(z0, g(g(g(y1))), g(z2))) F(g(0), g(g(1)), g(g(z2))) -> c3(F(g(0), g(g(1)), g(z2))) F(g(y0), g(g(g(y1))), g(g(z2))) -> c3(F(g(y0), g(g(g(y1))), g(z2))) F(z0, g(g(y1)), g(g(g(y2)))) -> c3(F(z0, g(g(y1)), g(g(y2)))) F(g(y0), g(g(y1)), g(g(g(y2)))) -> c3(F(g(y0), g(g(y1)), g(g(y2)))) F(0, g(g(1)), g(g(z2))) -> c3(F(0, g(g(1)), g(z2))) F(g(g(y0)), g(g(g(y1))), g(g(z2))) -> c3(F(g(g(y0)), g(g(g(y1))), g(z2))) F(g(g(0)), g(g(1)), g(g(z2))) -> c3(F(g(g(0)), g(g(1)), g(z2))) F(g(g(y0)), g(g(y1)), g(g(g(y2)))) -> c3(F(g(g(y0)), g(g(y1)), g(g(y2)))) F(g(g(g(y0))), g(g(g(y1))), g(g(z2))) -> c3(F(g(g(g(y0))), g(g(g(y1))), g(z2))) F(g(g(g(0))), g(g(1)), g(g(z2))) -> c3(F(g(g(g(0))), g(g(1)), g(z2))) F(g(g(g(y0))), g(g(y1)), g(g(g(y2)))) -> c3(F(g(g(g(y0))), g(g(y1)), g(g(y2)))) F(g(g(g(g(g(y0))))), g(g(y1)), g(g(z2))) -> c3(F(g(g(g(g(g(y0))))), g(g(y1)), g(z2))) F(g(g(g(g(y0)))), g(g(g(y1))), g(g(z2))) -> c3(F(g(g(g(g(y0)))), g(g(g(y1))), g(z2))) F(g(g(g(g(0)))), g(g(1)), g(g(z2))) -> c3(F(g(g(g(g(0)))), g(g(1)), g(z2))) F(g(g(g(g(y0)))), g(g(y1)), g(g(g(y2)))) -> c3(F(g(g(g(g(y0)))), g(g(y1)), g(g(y2)))) F(0, g(g(1)), g(g(g(y0)))) -> c3(F(0, g(g(1)), g(g(y0)))) F(0, g(g(1)), g(g(g(g(y0))))) -> c3(F(0, g(g(1)), g(g(g(y0))))) F(g(0), g(1), g(g(g(y0)))) -> c3(F(g(0), g(1), g(g(y0)))) F(g(0), g(1), g(g(g(g(y0))))) -> c3(F(g(0), g(1), g(g(g(y0))))) F(g(g(0)), g(1), g(g(g(y0)))) -> c3(F(g(g(0)), g(1), g(g(y0)))) F(g(g(0)), g(1), g(g(g(g(y0))))) -> c3(F(g(g(0)), g(1), g(g(g(y0))))) F(z0, g(g(g(g(y1)))), g(g(z2))) -> c3(F(z0, g(g(g(g(y1)))), g(z2))) F(g(0), g(g(g(1))), g(g(z2))) -> c3(F(g(0), g(g(g(1))), g(z2))) F(g(y0), g(g(g(g(y1)))), g(g(z2))) -> c3(F(g(y0), g(g(g(g(y1)))), g(z2))) F(z0, g(g(g(y1))), g(g(g(y2)))) -> c3(F(z0, g(g(g(y1))), g(g(y2)))) F(g(y0), g(g(g(y1))), g(g(g(y2)))) -> c3(F(g(y0), g(g(g(y1))), g(g(y2)))) F(0, g(g(g(1))), g(g(z2))) -> c3(F(0, g(g(g(1))), g(z2))) F(g(g(y0)), g(g(g(g(y1)))), g(g(z2))) -> c3(F(g(g(y0)), g(g(g(g(y1)))), g(z2))) F(g(g(0)), g(g(g(1))), g(g(z2))) -> c3(F(g(g(0)), g(g(g(1))), g(z2))) F(g(g(y0)), g(g(g(y1))), g(g(g(y2)))) -> c3(F(g(g(y0)), g(g(g(y1))), g(g(y2)))) F(g(g(g(y0))), g(g(g(g(y1)))), g(g(z2))) -> c3(F(g(g(g(y0))), g(g(g(g(y1)))), g(z2))) F(g(g(g(0))), g(g(g(1))), g(g(z2))) -> c3(F(g(g(g(0))), g(g(g(1))), g(z2))) F(g(g(g(y0))), g(g(g(y1))), g(g(g(y2)))) -> c3(F(g(g(g(y0))), g(g(g(y1))), g(g(y2)))) F(g(g(g(g(g(y0))))), g(g(g(y1))), g(g(z2))) -> c3(F(g(g(g(g(g(y0))))), g(g(g(y1))), g(z2))) F(g(g(g(g(y0)))), g(g(g(g(y1)))), g(g(z2))) -> c3(F(g(g(g(g(y0)))), g(g(g(g(y1)))), g(z2))) F(g(g(g(g(0)))), g(g(g(1))), g(g(z2))) -> c3(F(g(g(g(g(0)))), g(g(g(1))), g(z2))) F(g(g(g(g(y0)))), g(g(g(y1))), g(g(g(y2)))) -> c3(F(g(g(g(g(y0)))), g(g(g(y1))), g(g(y2)))) F(0, g(g(g(1))), g(g(g(y0)))) -> c3(F(0, g(g(g(1))), g(g(y0)))) F(0, g(g(g(1))), g(g(g(g(y0))))) -> c3(F(0, g(g(g(1))), g(g(g(y0))))) F(g(g(0)), g(g(1)), g(g(g(y0)))) -> c3(F(g(g(0)), g(g(1)), g(g(y0)))) F(g(g(0)), g(g(1)), g(g(g(g(y0))))) -> c3(F(g(g(0)), g(g(1)), g(g(g(y0))))) F(g(g(y0)), g(g(g(g(g(y1))))), g(g(z2))) -> c3(F(g(g(y0)), g(g(g(g(g(y1))))), g(z2))) F(g(g(y0)), g(g(g(g(y1)))), g(g(g(y2)))) -> c3(F(g(g(y0)), g(g(g(g(y1)))), g(g(y2)))) F(g(g(0)), g(g(g(g(1)))), g(g(z2))) -> c3(F(g(g(0)), g(g(g(g(1)))), g(z2))) F(g(g(g(y0))), g(g(g(g(g(y1))))), g(g(z2))) -> c3(F(g(g(g(y0))), g(g(g(g(g(y1))))), g(z2))) F(g(g(g(0))), g(g(g(g(1)))), g(g(z2))) -> c3(F(g(g(g(0))), g(g(g(g(1)))), g(z2))) F(g(g(g(y0))), g(g(g(g(y1)))), g(g(g(y2)))) -> c3(F(g(g(g(y0))), g(g(g(g(y1)))), g(g(y2)))) F(g(g(g(g(g(y0))))), g(g(g(g(y1)))), g(g(z2))) -> c3(F(g(g(g(g(g(y0))))), g(g(g(g(y1)))), g(z2))) F(g(g(g(g(y0)))), g(g(g(g(g(y1))))), g(g(z2))) -> c3(F(g(g(g(g(y0)))), g(g(g(g(g(y1))))), g(z2))) F(g(g(g(g(0)))), g(g(g(g(1)))), g(g(z2))) -> c3(F(g(g(g(g(0)))), g(g(g(g(1)))), g(z2))) F(g(g(g(g(y0)))), g(g(g(g(y1)))), g(g(g(y2)))) -> c3(F(g(g(g(g(y0)))), g(g(g(g(y1)))), g(g(y2)))) F(g(0), g(g(1)), g(g(g(y0)))) -> c3(F(g(0), g(g(1)), g(g(y0)))) F(g(0), g(g(1)), g(g(g(g(y0))))) -> c3(F(g(0), g(g(1)), g(g(g(y0))))) F(g(y0), g(g(g(g(g(y1))))), g(g(z2))) -> c3(F(g(y0), g(g(g(g(g(y1))))), g(z2))) F(g(0), g(g(g(g(1)))), g(g(z2))) -> c3(F(g(0), g(g(g(g(1)))), g(z2))) F(g(y0), g(g(g(g(y1)))), g(g(g(y2)))) -> c3(F(g(y0), g(g(g(g(y1)))), g(g(y2)))) F(g(g(0)), g(g(g(1))), g(g(g(y0)))) -> c3(F(g(g(0)), g(g(g(1))), g(g(y0)))) F(g(g(0)), g(g(g(1))), g(g(g(g(y0))))) -> c3(F(g(g(0)), g(g(g(1))), g(g(g(y0))))) F(g(g(y0)), g(g(g(g(g(g(y1)))))), g(g(z2))) -> c3(F(g(g(y0)), g(g(g(g(g(g(y1)))))), g(z2))) F(g(g(y0)), g(g(g(g(g(y1))))), g(g(g(y2)))) -> c3(F(g(g(y0)), g(g(g(g(g(y1))))), g(g(y2)))) F(g(g(0)), g(g(g(g(g(1))))), g(g(z2))) -> c3(F(g(g(0)), g(g(g(g(g(1))))), g(z2))) F(g(g(g(y0))), g(g(g(g(g(g(y1)))))), g(g(z2))) -> c3(F(g(g(g(y0))), g(g(g(g(g(g(y1)))))), g(z2))) F(g(g(g(0))), g(g(g(g(g(1))))), g(g(z2))) -> c3(F(g(g(g(0))), g(g(g(g(g(1))))), g(z2))) F(g(g(g(y0))), g(g(g(g(g(y1))))), g(g(g(y2)))) -> c3(F(g(g(g(y0))), g(g(g(g(g(y1))))), g(g(y2)))) F(g(g(g(g(g(y0))))), g(g(g(g(g(y1))))), g(g(z2))) -> c3(F(g(g(g(g(g(y0))))), g(g(g(g(g(y1))))), g(z2))) F(g(g(g(g(y0)))), g(g(g(g(g(g(y1)))))), g(g(z2))) -> c3(F(g(g(g(g(y0)))), g(g(g(g(g(g(y1)))))), g(z2))) F(g(g(g(g(0)))), g(g(g(g(g(1))))), g(g(z2))) -> c3(F(g(g(g(g(0)))), g(g(g(g(g(1))))), g(z2))) F(g(g(g(g(y0)))), g(g(g(g(g(y1))))), g(g(g(y2)))) -> c3(F(g(g(g(g(y0)))), g(g(g(g(g(y1))))), g(g(y2)))) F(g(0), g(g(g(1))), g(g(g(y0)))) -> c3(F(g(0), g(g(g(1))), g(g(y0)))) F(g(0), g(g(g(1))), g(g(g(g(y0))))) -> c3(F(g(0), g(g(g(1))), g(g(g(y0))))) F(g(y0), g(g(g(g(g(g(y1)))))), g(g(z2))) -> c3(F(g(y0), g(g(g(g(g(g(y1)))))), g(z2))) F(g(0), g(g(g(g(g(1))))), g(g(z2))) -> c3(F(g(0), g(g(g(g(g(1))))), g(z2))) F(g(y0), g(g(g(g(g(y1))))), g(g(g(y2)))) -> c3(F(g(y0), g(g(g(g(g(y1))))), g(g(y2)))) F(g(g(0)), g(g(g(g(1)))), g(g(g(y0)))) -> c3(F(g(g(0)), g(g(g(g(1)))), g(g(y0)))) F(g(g(0)), g(g(g(g(1)))), g(g(g(g(y0))))) -> c3(F(g(g(0)), g(g(g(g(1)))), g(g(g(y0))))) F(g(g(y0)), g(g(g(g(g(g(g(y1))))))), g(g(z2))) -> c3(F(g(g(y0)), g(g(g(g(g(g(g(y1))))))), g(z2))) F(g(g(y0)), g(g(g(g(g(g(y1)))))), g(g(g(y2)))) -> c3(F(g(g(y0)), g(g(g(g(g(g(y1)))))), g(g(y2)))) F(g(g(0)), g(g(g(g(g(g(1)))))), g(g(z2))) -> c3(F(g(g(0)), g(g(g(g(g(g(1)))))), g(z2))) F(g(g(g(y0))), g(g(g(g(g(g(g(y1))))))), g(g(z2))) -> c3(F(g(g(g(y0))), g(g(g(g(g(g(g(y1))))))), g(z2))) F(g(g(g(0))), g(g(g(g(g(g(1)))))), g(g(z2))) -> c3(F(g(g(g(0))), g(g(g(g(g(g(1)))))), g(z2))) F(g(g(g(y0))), g(g(g(g(g(g(y1)))))), g(g(g(y2)))) -> c3(F(g(g(g(y0))), g(g(g(g(g(g(y1)))))), g(g(y2)))) F(g(g(g(g(g(y0))))), g(g(g(g(g(g(y1)))))), g(g(z2))) -> c3(F(g(g(g(g(g(y0))))), g(g(g(g(g(g(y1)))))), g(z2))) F(g(g(g(g(y0)))), g(g(g(g(g(g(g(y1))))))), g(g(z2))) -> c3(F(g(g(g(g(y0)))), g(g(g(g(g(g(g(y1))))))), g(z2))) F(g(g(g(g(0)))), g(g(g(g(g(g(1)))))), g(g(z2))) -> c3(F(g(g(g(g(0)))), g(g(g(g(g(g(1)))))), g(z2))) F(g(g(g(g(y0)))), g(g(g(g(g(g(y1)))))), g(g(g(y2)))) -> c3(F(g(g(g(g(y0)))), g(g(g(g(g(g(y1)))))), g(g(y2)))) F(0, 1, g(g(g(g(g(y0)))))) -> c3(F(0, 1, g(g(g(g(y0)))))) F(g(0), 1, g(g(g(g(g(y0)))))) -> c3(F(g(0), 1, g(g(g(g(y0)))))) S tuples: F(g(g(0)), 1, z2) -> c1(F(g(0), 1, z2)) F(g(g(g(y0))), z1, z2) -> c1(F(g(g(y0)), z1, z2)) F(g(g(z0)), g(y1), z2) -> c1(F(g(z0), g(y1), z2)) F(g(g(z0)), z1, g(y2)) -> c1(F(g(z0), z1, g(y2))) F(g(g(z0)), g(g(y1)), z2) -> c1(F(g(z0), g(g(y1)), z2)) F(g(g(z0)), g(y1), g(y2)) -> c1(F(g(z0), g(y1), g(y2))) F(g(g(0)), g(1), z2) -> c1(F(g(0), g(1), z2)) F(g(g(g(y0))), g(y1), z2) -> c1(F(g(g(y0)), g(y1), z2)) F(g(g(z0)), z1, g(g(y2))) -> c1(F(g(z0), z1, g(g(y2)))) F(g(g(0)), 1, g(y0)) -> c1(F(g(0), 1, g(y0))) F(g(g(g(y0))), z1, g(y2)) -> c1(F(g(g(y0)), z1, g(y2))) F(g(g(z0)), g(g(y1)), g(y2)) -> c1(F(g(z0), g(g(y1)), g(y2))) F(g(g(z0)), g(y1), g(g(y2))) -> c1(F(g(z0), g(y1), g(g(y2)))) F(g(g(0)), g(1), g(y0)) -> c1(F(g(0), g(1), g(y0))) F(g(g(g(y0))), g(y1), g(y2)) -> c1(F(g(g(y0)), g(y1), g(y2))) F(g(0), g(1), z2) -> c1(F(0, g(1), z2)) F(g(z0), g(g(y1)), z2) -> c1(F(z0, g(g(y1)), z2)) F(g(z0), g(z1), g(y2)) -> c1(F(z0, g(z1), g(y2))) F(g(z0), g(z1), g(g(y2))) -> c1(F(z0, g(z1), g(g(y2)))) F(g(0), g(1), g(y0)) -> c1(F(0, g(1), g(y0))) F(g(z0), g(g(y1)), g(y2)) -> c1(F(z0, g(g(y1)), g(y2))) F(g(g(g(g(y0)))), g(z1), z2) -> c1(F(g(g(g(y0))), g(z1), z2)) F(g(g(g(y0))), g(g(y1)), z2) -> c1(F(g(g(y0)), g(g(y1)), z2)) F(g(g(g(0))), g(1), z2) -> c1(F(g(g(0)), g(1), z2)) F(g(g(g(y0))), g(z1), g(g(y2))) -> c1(F(g(g(y0)), g(z1), g(g(y2)))) F(g(g(g(g(y0)))), g(z1), g(y2)) -> c1(F(g(g(g(y0))), g(z1), g(y2))) F(g(g(g(y0))), g(g(y1)), g(y2)) -> c1(F(g(g(y0)), g(g(y1)), g(y2))) F(g(g(g(0))), g(1), g(y0)) -> c1(F(g(g(0)), g(1), g(y0))) F(0, 1, g(y2)) -> c(F(g(g(y2)), g(g(y2)), g(y2))) F(0, 1, g(g(y2))) -> c(F(g(g(g(y2))), g(g(g(y2))), g(g(y2)))) F(0, 1, g(g(g(y0)))) -> c(F(g(g(g(g(y0)))), g(g(g(g(y0)))), g(g(g(y0))))) F(g(0), 1, g(y0)) -> c1(F(0, 1, g(y0))) F(g(0), 1, g(g(y2))) -> c1(F(0, 1, g(g(y2)))) F(g(0), 1, g(g(g(y0)))) -> c1(F(0, 1, g(g(g(y0))))) F(g(z0), z1, g(g(y2))) -> c1(F(z0, z1, g(g(y2)))) F(g(g(g(0))), 1, g(z2)) -> c1(F(g(g(0)), 1, g(z2))) F(g(g(g(g(y0)))), z1, g(z2)) -> c1(F(g(g(g(y0))), z1, g(z2))) F(g(g(g(y0))), z1, g(g(y2))) -> c1(F(g(g(y0)), z1, g(g(y2)))) F(g(g(g(g(g(y0))))), g(y1), g(z2)) -> c1(F(g(g(g(g(y0)))), g(y1), g(z2))) F(g(g(g(g(y0)))), g(g(y1)), g(z2)) -> c1(F(g(g(g(y0))), g(g(y1)), g(z2))) F(g(g(g(g(0)))), g(1), g(z2)) -> c1(F(g(g(g(0))), g(1), g(z2))) F(g(g(g(g(y0)))), g(y1), g(g(y2))) -> c1(F(g(g(g(y0))), g(y1), g(g(y2)))) F(g(g(0)), 1, g(g(y0))) -> c1(F(g(0), 1, g(g(y0)))) F(g(g(0)), 1, g(g(g(y0)))) -> c1(F(g(0), 1, g(g(g(y0))))) F(0, g(1), g(y0)) -> c2(F(0, 1, g(y0))) F(0, g(1), g(g(y2))) -> c2(F(0, 1, g(g(y2)))) F(0, g(1), g(g(g(y0)))) -> c2(F(0, 1, g(g(g(y0))))) F(z0, g(g(g(y1))), z2) -> c2(F(z0, g(g(y1)), z2)) F(z0, g(g(z1)), g(y2)) -> c2(F(z0, g(z1), g(y2))) F(g(0), g(g(1)), z2) -> c2(F(g(0), g(1), z2)) F(g(g(y0)), g(g(z1)), z2) -> c2(F(g(g(y0)), g(z1), z2)) F(g(y0), g(g(g(y1))), z2) -> c2(F(g(y0), g(g(y1)), z2)) F(g(y0), g(g(z1)), g(y2)) -> c2(F(g(y0), g(z1), g(y2))) F(z0, g(g(z1)), g(g(y2))) -> c2(F(z0, g(z1), g(g(y2)))) F(g(g(y0)), g(g(z1)), g(y2)) -> c2(F(g(g(y0)), g(z1), g(y2))) F(g(y0), g(g(z1)), g(g(y2))) -> c2(F(g(y0), g(z1), g(g(y2)))) F(0, g(g(1)), g(y0)) -> c2(F(0, g(1), g(y0))) F(z0, g(g(g(y1))), g(y2)) -> c2(F(z0, g(g(y1)), g(y2))) F(g(0), g(g(1)), g(y0)) -> c2(F(g(0), g(1), g(y0))) F(g(y0), g(g(g(y1))), g(y2)) -> c2(F(g(y0), g(g(y1)), g(y2))) F(g(g(g(y0))), g(g(z1)), z2) -> c2(F(g(g(g(y0))), g(z1), z2)) F(g(g(y0)), g(g(g(y1))), z2) -> c2(F(g(g(y0)), g(g(y1)), z2)) F(g(g(0)), g(g(1)), z2) -> c2(F(g(g(0)), g(1), z2)) F(g(g(y0)), g(g(z1)), g(g(y2))) -> c2(F(g(g(y0)), g(z1), g(g(y2)))) F(g(g(g(y0))), g(g(z1)), g(y2)) -> c2(F(g(g(g(y0))), g(z1), g(y2))) F(g(g(y0)), g(g(g(y1))), g(y2)) -> c2(F(g(g(y0)), g(g(y1)), g(y2))) F(g(g(0)), g(g(1)), g(y0)) -> c2(F(g(g(0)), g(1), g(y0))) F(g(g(g(g(y0)))), g(g(z1)), z2) -> c2(F(g(g(g(g(y0)))), g(z1), z2)) F(g(g(g(y0))), g(g(g(y1))), z2) -> c2(F(g(g(g(y0))), g(g(y1)), z2)) F(g(g(g(0))), g(g(1)), z2) -> c2(F(g(g(g(0))), g(1), z2)) F(g(g(g(y0))), g(g(z1)), g(g(y2))) -> c2(F(g(g(g(y0))), g(z1), g(g(y2)))) F(g(g(g(g(y0)))), g(g(z1)), g(y2)) -> c2(F(g(g(g(g(y0)))), g(z1), g(y2))) F(g(g(g(y0))), g(g(g(y1))), g(y2)) -> c2(F(g(g(g(y0))), g(g(y1)), g(y2))) F(g(g(g(0))), g(g(1)), g(y0)) -> c2(F(g(g(g(0))), g(1), g(y0))) F(g(g(g(g(g(y0))))), g(g(z1)), g(y2)) -> c2(F(g(g(g(g(g(y0))))), g(z1), g(y2))) F(g(g(g(g(y0)))), g(g(g(y1))), g(y2)) -> c2(F(g(g(g(g(y0)))), g(g(y1)), g(y2))) F(g(g(g(g(0)))), g(g(1)), g(y0)) -> c2(F(g(g(g(g(0)))), g(1), g(y0))) F(g(g(g(g(y0)))), g(g(z1)), g(g(y2))) -> c2(F(g(g(g(g(y0)))), g(z1), g(g(y2)))) F(0, g(g(1)), g(g(y0))) -> c2(F(0, g(1), g(g(y0)))) F(0, g(g(1)), g(g(g(y0)))) -> c2(F(0, g(1), g(g(g(y0))))) F(z0, g(z1), g(g(y2))) -> c2(F(z0, z1, g(g(y2)))) F(g(0), g(1), g(z2)) -> c2(F(g(0), 1, g(z2))) F(g(g(y0)), g(z1), g(z2)) -> c2(F(g(g(y0)), z1, g(z2))) F(g(y0), g(z1), g(g(y2))) -> c2(F(g(y0), z1, g(g(y2)))) F(g(g(0)), g(1), g(z2)) -> c2(F(g(g(0)), 1, g(z2))) F(g(g(g(y0))), g(z1), g(z2)) -> c2(F(g(g(g(y0))), z1, g(z2))) F(g(g(y0)), g(z1), g(g(y2))) -> c2(F(g(g(y0)), z1, g(g(y2)))) F(g(0), g(1), g(g(y0))) -> c2(F(g(0), 1, g(g(y0)))) F(g(0), g(1), g(g(g(y0)))) -> c2(F(g(0), 1, g(g(g(y0))))) F(g(g(g(0))), g(1), g(z2)) -> c2(F(g(g(g(0))), 1, g(z2))) F(g(g(g(g(y0)))), g(z1), g(z2)) -> c2(F(g(g(g(g(y0)))), z1, g(z2))) F(g(g(g(y0))), g(z1), g(g(y2))) -> c2(F(g(g(g(y0))), z1, g(g(y2)))) F(g(g(0)), g(1), g(g(y0))) -> c2(F(g(g(0)), 1, g(g(y0)))) F(g(g(0)), g(1), g(g(g(y0)))) -> c2(F(g(g(0)), 1, g(g(g(y0))))) F(z0, g(g(g(g(y1)))), g(z2)) -> c2(F(z0, g(g(g(y1))), g(z2))) F(g(0), g(g(g(1))), g(z2)) -> c2(F(g(0), g(g(1)), g(z2))) F(g(y0), g(g(g(g(y1)))), g(z2)) -> c2(F(g(y0), g(g(g(y1))), g(z2))) F(z0, g(g(g(y1))), g(g(y2))) -> c2(F(z0, g(g(y1)), g(g(y2)))) F(g(y0), g(g(g(y1))), g(g(y2))) -> c2(F(g(y0), g(g(y1)), g(g(y2)))) F(0, g(g(g(1))), g(z2)) -> c2(F(0, g(g(1)), g(z2))) F(g(g(y0)), g(g(g(g(y1)))), g(z2)) -> c2(F(g(g(y0)), g(g(g(y1))), g(z2))) F(g(g(0)), g(g(g(1))), g(z2)) -> c2(F(g(g(0)), g(g(1)), g(z2))) F(g(g(y0)), g(g(g(y1))), g(g(y2))) -> c2(F(g(g(y0)), g(g(y1)), g(g(y2)))) F(g(g(g(y0))), g(g(g(g(y1)))), g(z2)) -> c2(F(g(g(g(y0))), g(g(g(y1))), g(z2))) F(g(g(g(0))), g(g(g(1))), g(z2)) -> c2(F(g(g(g(0))), g(g(1)), g(z2))) F(g(g(g(y0))), g(g(g(y1))), g(g(y2))) -> c2(F(g(g(g(y0))), g(g(y1)), g(g(y2)))) F(g(g(g(g(g(y0))))), g(g(g(y1))), g(z2)) -> c2(F(g(g(g(g(g(y0))))), g(g(y1)), g(z2))) F(g(g(g(g(y0)))), g(g(g(g(y1)))), g(z2)) -> c2(F(g(g(g(g(y0)))), g(g(g(y1))), g(z2))) F(g(g(g(g(0)))), g(g(g(1))), g(z2)) -> c2(F(g(g(g(g(0)))), g(g(1)), g(z2))) F(g(g(g(g(y0)))), g(g(g(y1))), g(g(y2))) -> c2(F(g(g(g(g(y0)))), g(g(y1)), g(g(y2)))) F(0, g(g(g(1))), g(g(y0))) -> c2(F(0, g(g(1)), g(g(y0)))) F(0, g(g(g(1))), g(g(g(y0)))) -> c2(F(0, g(g(1)), g(g(g(y0))))) F(g(g(0)), g(1), z2) -> c2(F(g(g(0)), 1, z2)) F(g(g(g(y0))), g(z1), z2) -> c2(F(g(g(g(y0))), z1, z2)) F(g(g(z0)), g(g(g(g(y1)))), z2) -> c2(F(g(g(z0)), g(g(g(y1))), z2)) F(g(g(0)), g(g(g(1))), z2) -> c2(F(g(g(0)), g(g(1)), z2)) F(g(g(g(g(y0)))), g(g(g(y1))), z2) -> c2(F(g(g(g(g(y0)))), g(g(y1)), z2)) F(g(g(g(y0))), g(g(g(g(y1)))), z2) -> c2(F(g(g(g(y0))), g(g(g(y1))), z2)) F(g(g(g(0))), g(g(g(1))), z2) -> c2(F(g(g(g(0))), g(g(1)), z2)) F(g(g(0)), g(g(1)), g(g(y0))) -> c2(F(g(g(0)), g(1), g(g(y0)))) F(g(g(0)), g(g(1)), g(g(g(y0)))) -> c2(F(g(g(0)), g(1), g(g(g(y0))))) F(g(g(z0)), g(g(g(g(g(y1))))), g(y2)) -> c2(F(g(g(z0)), g(g(g(g(y1)))), g(y2))) F(g(g(z0)), g(g(g(g(y1)))), g(g(y2))) -> c2(F(g(g(z0)), g(g(g(y1))), g(g(y2)))) F(g(g(0)), g(g(g(g(1)))), g(y0)) -> c2(F(g(g(0)), g(g(g(1))), g(y0))) F(g(g(g(y0))), g(g(g(g(g(y1))))), g(y2)) -> c2(F(g(g(g(y0))), g(g(g(g(y1)))), g(y2))) F(g(g(g(0))), g(g(g(g(1)))), g(y0)) -> c2(F(g(g(g(0))), g(g(g(1))), g(y0))) F(g(g(g(y0))), g(g(g(g(y1)))), g(g(y2))) -> c2(F(g(g(g(y0))), g(g(g(y1))), g(g(y2)))) F(g(g(g(g(g(y0))))), g(g(g(g(y1)))), g(y2)) -> c2(F(g(g(g(g(g(y0))))), g(g(g(y1))), g(y2))) F(g(g(g(g(y0)))), g(g(g(g(g(y1))))), g(y2)) -> c2(F(g(g(g(g(y0)))), g(g(g(g(y1)))), g(y2))) F(g(g(g(g(0)))), g(g(g(g(1)))), g(y0)) -> c2(F(g(g(g(g(0)))), g(g(g(1))), g(y0))) F(g(g(g(g(y0)))), g(g(g(g(y1)))), g(g(y2))) -> c2(F(g(g(g(g(y0)))), g(g(g(y1))), g(g(y2)))) F(g(z0), g(g(g(g(y1)))), z2) -> c2(F(g(z0), g(g(g(y1))), z2)) F(g(0), g(g(g(1))), z2) -> c2(F(g(0), g(g(1)), z2)) F(g(0), g(g(1)), g(g(y0))) -> c2(F(g(0), g(1), g(g(y0)))) F(g(0), g(g(1)), g(g(g(y0)))) -> c2(F(g(0), g(1), g(g(g(y0))))) F(g(z0), g(g(g(g(g(y1))))), g(y2)) -> c2(F(g(z0), g(g(g(g(y1)))), g(y2))) F(g(0), g(g(g(g(1)))), g(y0)) -> c2(F(g(0), g(g(g(1))), g(y0))) F(g(z0), g(g(g(g(y1)))), g(g(y2))) -> c2(F(g(z0), g(g(g(y1))), g(g(y2)))) F(g(g(y0)), g(g(g(g(g(y1))))), z2) -> c2(F(g(g(y0)), g(g(g(g(y1)))), z2)) F(g(g(0)), g(g(g(g(1)))), z2) -> c2(F(g(g(0)), g(g(g(1))), z2)) F(g(g(g(g(y0)))), g(g(g(g(y1)))), z2) -> c2(F(g(g(g(g(y0)))), g(g(g(y1))), z2)) F(g(g(g(y0))), g(g(g(g(g(y1))))), z2) -> c2(F(g(g(g(y0))), g(g(g(g(y1)))), z2)) F(g(g(g(0))), g(g(g(g(1)))), z2) -> c2(F(g(g(g(0))), g(g(g(1))), z2)) F(g(g(0)), g(g(g(1))), g(g(y0))) -> c2(F(g(g(0)), g(g(1)), g(g(y0)))) F(g(g(0)), g(g(g(1))), g(g(g(y0)))) -> c2(F(g(g(0)), g(g(1)), g(g(g(y0))))) F(g(g(y0)), g(g(g(g(g(g(y1)))))), g(y2)) -> c2(F(g(g(y0)), g(g(g(g(g(y1))))), g(y2))) F(g(g(y0)), g(g(g(g(g(y1))))), g(g(y2))) -> c2(F(g(g(y0)), g(g(g(g(y1)))), g(g(y2)))) F(g(g(0)), g(g(g(g(g(1))))), g(y0)) -> c2(F(g(g(0)), g(g(g(g(1)))), g(y0))) F(g(g(g(y0))), g(g(g(g(g(g(y1)))))), g(y2)) -> c2(F(g(g(g(y0))), g(g(g(g(g(y1))))), g(y2))) F(g(g(g(0))), g(g(g(g(g(1))))), g(y0)) -> c2(F(g(g(g(0))), g(g(g(g(1)))), g(y0))) F(g(g(g(y0))), g(g(g(g(g(y1))))), g(g(y2))) -> c2(F(g(g(g(y0))), g(g(g(g(y1)))), g(g(y2)))) F(g(g(g(g(g(y0))))), g(g(g(g(g(y1))))), g(y2)) -> c2(F(g(g(g(g(g(y0))))), g(g(g(g(y1)))), g(y2))) F(g(g(g(g(y0)))), g(g(g(g(g(g(y1)))))), g(y2)) -> c2(F(g(g(g(g(y0)))), g(g(g(g(g(y1))))), g(y2))) F(g(g(g(g(0)))), g(g(g(g(g(1))))), g(y0)) -> c2(F(g(g(g(g(0)))), g(g(g(g(1)))), g(y0))) F(g(g(g(g(y0)))), g(g(g(g(g(y1))))), g(g(y2))) -> c2(F(g(g(g(g(y0)))), g(g(g(g(y1)))), g(g(y2)))) F(g(0), g(g(g(1))), g(g(y0))) -> c2(F(g(0), g(g(1)), g(g(y0)))) F(g(0), g(g(g(1))), g(g(g(y0)))) -> c2(F(g(0), g(g(1)), g(g(g(y0))))) F(g(z0), g(g(g(g(g(g(y1)))))), g(z2)) -> c2(F(g(z0), g(g(g(g(g(y1))))), g(z2))) F(g(0), g(g(g(g(g(1))))), g(z2)) -> c2(F(g(0), g(g(g(g(1)))), g(z2))) F(g(z0), g(g(g(g(g(y1))))), g(g(y2))) -> c2(F(g(z0), g(g(g(g(y1)))), g(g(y2)))) F(g(g(0)), g(g(g(g(1)))), g(g(y0))) -> c2(F(g(g(0)), g(g(g(1))), g(g(y0)))) F(g(g(0)), g(g(g(g(1)))), g(g(g(y0)))) -> c2(F(g(g(0)), g(g(g(1))), g(g(g(y0))))) F(g(g(y0)), g(g(g(g(g(g(g(y1))))))), g(z2)) -> c2(F(g(g(y0)), g(g(g(g(g(g(y1)))))), g(z2))) F(g(g(y0)), g(g(g(g(g(g(y1)))))), g(g(y2))) -> c2(F(g(g(y0)), g(g(g(g(g(y1))))), g(g(y2)))) F(g(g(0)), g(g(g(g(g(g(1)))))), g(z2)) -> c2(F(g(g(0)), g(g(g(g(g(1))))), g(z2))) F(g(g(g(y0))), g(g(g(g(g(g(g(y1))))))), g(z2)) -> c2(F(g(g(g(y0))), g(g(g(g(g(g(y1)))))), g(z2))) F(g(g(g(0))), g(g(g(g(g(g(1)))))), g(z2)) -> c2(F(g(g(g(0))), g(g(g(g(g(1))))), g(z2))) F(g(g(g(y0))), g(g(g(g(g(g(y1)))))), g(g(y2))) -> c2(F(g(g(g(y0))), g(g(g(g(g(y1))))), g(g(y2)))) F(g(g(g(g(g(y0))))), g(g(g(g(g(g(y1)))))), g(z2)) -> c2(F(g(g(g(g(g(y0))))), g(g(g(g(g(y1))))), g(z2))) F(g(g(g(g(y0)))), g(g(g(g(g(g(g(y1))))))), g(z2)) -> c2(F(g(g(g(g(y0)))), g(g(g(g(g(g(y1)))))), g(z2))) F(g(g(g(g(0)))), g(g(g(g(g(g(1)))))), g(z2)) -> c2(F(g(g(g(g(0)))), g(g(g(g(g(1))))), g(z2))) F(g(g(g(g(y0)))), g(g(g(g(g(g(y1)))))), g(g(y2))) -> c2(F(g(g(g(g(y0)))), g(g(g(g(g(y1))))), g(g(y2)))) K tuples: F(g(g(y0)), z1, g(z2)) -> c3(F(g(g(y0)), z1, z2)) F(g(y0), g(y1), g(z2)) -> c3(F(g(y0), g(y1), z2)) F(g(y0), z1, g(g(y2))) -> c3(F(g(y0), z1, g(y2))) F(0, g(1), g(z2)) -> c3(F(0, g(1), z2)) F(z0, g(g(y1)), g(z2)) -> c3(F(z0, g(g(y1)), z2)) F(z0, g(y1), g(g(y2))) -> c3(F(z0, g(y1), g(y2))) F(g(0), g(1), g(z2)) -> c3(F(g(0), g(1), z2)) F(g(g(y0)), g(y1), g(z2)) -> c3(F(g(g(y0)), g(y1), z2)) F(g(y0), g(g(y1)), g(z2)) -> c3(F(g(y0), g(g(y1)), z2)) F(g(y0), g(y1), g(g(y2))) -> c3(F(g(y0), g(y1), g(y2))) F(0, 1, g(g(y0))) -> c3(F(0, 1, g(y0))) F(0, 1, g(g(g(y2)))) -> c3(F(0, 1, g(g(y2)))) F(0, 1, g(g(g(g(y0))))) -> c3(F(0, 1, g(g(g(y0))))) F(z0, z1, g(g(g(y2)))) -> c3(F(z0, z1, g(g(y2)))) F(g(0), 1, g(g(z2))) -> c3(F(g(0), 1, g(z2))) F(g(g(y0)), z1, g(g(z2))) -> c3(F(g(g(y0)), z1, g(z2))) F(g(y0), z1, g(g(g(y2)))) -> c3(F(g(y0), z1, g(g(y2)))) F(0, g(1), g(g(z2))) -> c3(F(0, g(1), g(z2))) F(z0, g(g(y1)), g(g(z2))) -> c3(F(z0, g(g(y1)), g(z2))) F(z0, g(y1), g(g(g(y2)))) -> c3(F(z0, g(y1), g(g(y2)))) F(g(0), g(1), g(g(z2))) -> c3(F(g(0), g(1), g(z2))) F(g(g(y0)), g(y1), g(g(z2))) -> c3(F(g(g(y0)), g(y1), g(z2))) F(g(y0), g(g(y1)), g(g(z2))) -> c3(F(g(y0), g(g(y1)), g(z2))) F(g(y0), g(y1), g(g(g(y2)))) -> c3(F(g(y0), g(y1), g(g(y2)))) F(g(g(0)), 1, g(g(z2))) -> c3(F(g(g(0)), 1, g(z2))) F(g(g(g(y0))), z1, g(g(z2))) -> c3(F(g(g(g(y0))), z1, g(z2))) F(g(g(y0)), g(g(y1)), g(g(z2))) -> c3(F(g(g(y0)), g(g(y1)), g(z2))) F(g(g(0)), g(1), g(g(z2))) -> c3(F(g(g(0)), g(1), g(z2))) F(g(g(g(y0))), g(y1), g(g(z2))) -> c3(F(g(g(g(y0))), g(y1), g(z2))) F(g(g(y0)), z1, g(g(g(y2)))) -> c3(F(g(g(y0)), z1, g(g(y2)))) F(g(g(y0)), g(y1), g(g(g(y2)))) -> c3(F(g(g(y0)), g(y1), g(g(y2)))) F(g(g(g(g(y0)))), g(y1), g(g(z2))) -> c3(F(g(g(g(g(y0)))), g(y1), g(z2))) F(g(g(g(y0))), g(g(y1)), g(g(z2))) -> c3(F(g(g(g(y0))), g(g(y1)), g(z2))) F(g(g(g(0))), g(1), g(g(z2))) -> c3(F(g(g(g(0))), g(1), g(z2))) F(g(g(g(y0))), g(y1), g(g(g(y2)))) -> c3(F(g(g(g(y0))), g(y1), g(g(y2)))) F(g(0), 1, g(g(g(y0)))) -> c3(F(g(0), 1, g(g(y0)))) F(g(0), 1, g(g(g(g(y0))))) -> c3(F(g(0), 1, g(g(g(y0))))) F(g(g(g(0))), 1, g(g(z2))) -> c3(F(g(g(g(0))), 1, g(z2))) F(g(g(g(g(y0)))), z1, g(g(z2))) -> c3(F(g(g(g(g(y0)))), z1, g(z2))) F(g(g(g(y0))), z1, g(g(g(y2)))) -> c3(F(g(g(g(y0))), z1, g(g(y2)))) F(g(g(g(g(g(y0))))), g(y1), g(g(z2))) -> c3(F(g(g(g(g(g(y0))))), g(y1), g(z2))) F(g(g(g(g(y0)))), g(g(y1)), g(g(z2))) -> c3(F(g(g(g(g(y0)))), g(g(y1)), g(z2))) F(g(g(g(g(0)))), g(1), g(g(z2))) -> c3(F(g(g(g(g(0)))), g(1), g(z2))) F(g(g(g(g(y0)))), g(y1), g(g(g(y2)))) -> c3(F(g(g(g(g(y0)))), g(y1), g(g(y2)))) F(g(g(0)), 1, g(g(g(y0)))) -> c3(F(g(g(0)), 1, g(g(y0)))) F(g(g(0)), 1, g(g(g(g(y0))))) -> c3(F(g(g(0)), 1, g(g(g(y0))))) F(0, g(1), g(g(g(y0)))) -> c3(F(0, g(1), g(g(y0)))) F(0, g(1), g(g(g(g(y0))))) -> c3(F(0, g(1), g(g(g(y0))))) F(z0, g(g(g(y1))), g(g(z2))) -> c3(F(z0, g(g(g(y1))), g(z2))) F(g(0), g(g(1)), g(g(z2))) -> c3(F(g(0), g(g(1)), g(z2))) F(g(y0), g(g(g(y1))), g(g(z2))) -> c3(F(g(y0), g(g(g(y1))), g(z2))) F(z0, g(g(y1)), g(g(g(y2)))) -> c3(F(z0, g(g(y1)), g(g(y2)))) F(g(y0), g(g(y1)), g(g(g(y2)))) -> c3(F(g(y0), g(g(y1)), g(g(y2)))) F(0, g(g(1)), g(g(z2))) -> c3(F(0, g(g(1)), g(z2))) F(g(g(y0)), g(g(g(y1))), g(g(z2))) -> c3(F(g(g(y0)), g(g(g(y1))), g(z2))) F(g(g(0)), g(g(1)), g(g(z2))) -> c3(F(g(g(0)), g(g(1)), g(z2))) F(g(g(y0)), g(g(y1)), g(g(g(y2)))) -> c3(F(g(g(y0)), g(g(y1)), g(g(y2)))) F(g(g(g(y0))), g(g(g(y1))), g(g(z2))) -> c3(F(g(g(g(y0))), g(g(g(y1))), g(z2))) F(g(g(g(0))), g(g(1)), g(g(z2))) -> c3(F(g(g(g(0))), g(g(1)), g(z2))) F(g(g(g(y0))), g(g(y1)), g(g(g(y2)))) -> c3(F(g(g(g(y0))), g(g(y1)), g(g(y2)))) F(g(g(g(g(g(y0))))), g(g(y1)), g(g(z2))) -> c3(F(g(g(g(g(g(y0))))), g(g(y1)), g(z2))) F(g(g(g(g(y0)))), g(g(g(y1))), g(g(z2))) -> c3(F(g(g(g(g(y0)))), g(g(g(y1))), g(z2))) F(g(g(g(g(0)))), g(g(1)), g(g(z2))) -> c3(F(g(g(g(g(0)))), g(g(1)), g(z2))) F(g(g(g(g(y0)))), g(g(y1)), g(g(g(y2)))) -> c3(F(g(g(g(g(y0)))), g(g(y1)), g(g(y2)))) F(0, g(g(1)), g(g(g(y0)))) -> c3(F(0, g(g(1)), g(g(y0)))) F(0, g(g(1)), g(g(g(g(y0))))) -> c3(F(0, g(g(1)), g(g(g(y0))))) F(g(0), g(1), g(g(g(y0)))) -> c3(F(g(0), g(1), g(g(y0)))) F(g(0), g(1), g(g(g(g(y0))))) -> c3(F(g(0), g(1), g(g(g(y0))))) F(g(g(0)), g(1), g(g(g(y0)))) -> c3(F(g(g(0)), g(1), g(g(y0)))) F(g(g(0)), g(1), g(g(g(g(y0))))) -> c3(F(g(g(0)), g(1), g(g(g(y0))))) F(z0, g(g(g(g(y1)))), g(g(z2))) -> c3(F(z0, g(g(g(g(y1)))), g(z2))) F(g(0), g(g(g(1))), g(g(z2))) -> c3(F(g(0), g(g(g(1))), g(z2))) F(g(y0), g(g(g(g(y1)))), g(g(z2))) -> c3(F(g(y0), g(g(g(g(y1)))), g(z2))) F(z0, g(g(g(y1))), g(g(g(y2)))) -> c3(F(z0, g(g(g(y1))), g(g(y2)))) F(g(y0), g(g(g(y1))), g(g(g(y2)))) -> c3(F(g(y0), g(g(g(y1))), g(g(y2)))) F(0, g(g(g(1))), g(g(z2))) -> c3(F(0, g(g(g(1))), g(z2))) F(g(g(y0)), g(g(g(g(y1)))), g(g(z2))) -> c3(F(g(g(y0)), g(g(g(g(y1)))), g(z2))) F(g(g(0)), g(g(g(1))), g(g(z2))) -> c3(F(g(g(0)), g(g(g(1))), g(z2))) F(g(g(y0)), g(g(g(y1))), g(g(g(y2)))) -> c3(F(g(g(y0)), g(g(g(y1))), g(g(y2)))) F(g(g(g(y0))), g(g(g(g(y1)))), g(g(z2))) -> c3(F(g(g(g(y0))), g(g(g(g(y1)))), g(z2))) F(g(g(g(0))), g(g(g(1))), g(g(z2))) -> c3(F(g(g(g(0))), g(g(g(1))), g(z2))) F(g(g(g(y0))), g(g(g(y1))), g(g(g(y2)))) -> c3(F(g(g(g(y0))), g(g(g(y1))), g(g(y2)))) F(g(g(g(g(g(y0))))), g(g(g(y1))), g(g(z2))) -> c3(F(g(g(g(g(g(y0))))), g(g(g(y1))), g(z2))) F(g(g(g(g(y0)))), g(g(g(g(y1)))), g(g(z2))) -> c3(F(g(g(g(g(y0)))), g(g(g(g(y1)))), g(z2))) F(g(g(g(g(0)))), g(g(g(1))), g(g(z2))) -> c3(F(g(g(g(g(0)))), g(g(g(1))), g(z2))) F(g(g(g(g(y0)))), g(g(g(y1))), g(g(g(y2)))) -> c3(F(g(g(g(g(y0)))), g(g(g(y1))), g(g(y2)))) F(0, g(g(g(1))), g(g(g(y0)))) -> c3(F(0, g(g(g(1))), g(g(y0)))) F(0, g(g(g(1))), g(g(g(g(y0))))) -> c3(F(0, g(g(g(1))), g(g(g(y0))))) F(g(g(0)), g(g(1)), g(g(g(y0)))) -> c3(F(g(g(0)), g(g(1)), g(g(y0)))) F(g(g(0)), g(g(1)), g(g(g(g(y0))))) -> c3(F(g(g(0)), g(g(1)), g(g(g(y0))))) F(g(g(y0)), g(g(g(g(g(y1))))), g(g(z2))) -> c3(F(g(g(y0)), g(g(g(g(g(y1))))), g(z2))) F(g(g(y0)), g(g(g(g(y1)))), g(g(g(y2)))) -> c3(F(g(g(y0)), g(g(g(g(y1)))), g(g(y2)))) F(g(g(0)), g(g(g(g(1)))), g(g(z2))) -> c3(F(g(g(0)), g(g(g(g(1)))), g(z2))) F(g(g(g(y0))), g(g(g(g(g(y1))))), g(g(z2))) -> c3(F(g(g(g(y0))), g(g(g(g(g(y1))))), g(z2))) F(g(g(g(0))), g(g(g(g(1)))), g(g(z2))) -> c3(F(g(g(g(0))), g(g(g(g(1)))), g(z2))) F(g(g(g(y0))), g(g(g(g(y1)))), g(g(g(y2)))) -> c3(F(g(g(g(y0))), g(g(g(g(y1)))), g(g(y2)))) F(g(g(g(g(g(y0))))), g(g(g(g(y1)))), g(g(z2))) -> c3(F(g(g(g(g(g(y0))))), g(g(g(g(y1)))), g(z2))) F(g(g(g(g(y0)))), g(g(g(g(g(y1))))), g(g(z2))) -> c3(F(g(g(g(g(y0)))), g(g(g(g(g(y1))))), g(z2))) F(g(g(g(g(0)))), g(g(g(g(1)))), g(g(z2))) -> c3(F(g(g(g(g(0)))), g(g(g(g(1)))), g(z2))) F(g(g(g(g(y0)))), g(g(g(g(y1)))), g(g(g(y2)))) -> c3(F(g(g(g(g(y0)))), g(g(g(g(y1)))), g(g(y2)))) F(g(0), g(g(1)), g(g(g(y0)))) -> c3(F(g(0), g(g(1)), g(g(y0)))) F(g(0), g(g(1)), g(g(g(g(y0))))) -> c3(F(g(0), g(g(1)), g(g(g(y0))))) F(g(y0), g(g(g(g(g(y1))))), g(g(z2))) -> c3(F(g(y0), g(g(g(g(g(y1))))), g(z2))) F(g(0), g(g(g(g(1)))), g(g(z2))) -> c3(F(g(0), g(g(g(g(1)))), g(z2))) F(g(y0), g(g(g(g(y1)))), g(g(g(y2)))) -> c3(F(g(y0), g(g(g(g(y1)))), g(g(y2)))) F(g(g(0)), g(g(g(1))), g(g(g(y0)))) -> c3(F(g(g(0)), g(g(g(1))), g(g(y0)))) F(g(g(0)), g(g(g(1))), g(g(g(g(y0))))) -> c3(F(g(g(0)), g(g(g(1))), g(g(g(y0))))) F(g(g(y0)), g(g(g(g(g(g(y1)))))), g(g(z2))) -> c3(F(g(g(y0)), g(g(g(g(g(g(y1)))))), g(z2))) F(g(g(y0)), g(g(g(g(g(y1))))), g(g(g(y2)))) -> c3(F(g(g(y0)), g(g(g(g(g(y1))))), g(g(y2)))) F(g(g(0)), g(g(g(g(g(1))))), g(g(z2))) -> c3(F(g(g(0)), g(g(g(g(g(1))))), g(z2))) F(g(g(g(y0))), g(g(g(g(g(g(y1)))))), g(g(z2))) -> c3(F(g(g(g(y0))), g(g(g(g(g(g(y1)))))), g(z2))) F(g(g(g(0))), g(g(g(g(g(1))))), g(g(z2))) -> c3(F(g(g(g(0))), g(g(g(g(g(1))))), g(z2))) F(g(g(g(y0))), g(g(g(g(g(y1))))), g(g(g(y2)))) -> c3(F(g(g(g(y0))), g(g(g(g(g(y1))))), g(g(y2)))) F(g(g(g(g(g(y0))))), g(g(g(g(g(y1))))), g(g(z2))) -> c3(F(g(g(g(g(g(y0))))), g(g(g(g(g(y1))))), g(z2))) F(g(g(g(g(y0)))), g(g(g(g(g(g(y1)))))), g(g(z2))) -> c3(F(g(g(g(g(y0)))), g(g(g(g(g(g(y1)))))), g(z2))) F(g(g(g(g(0)))), g(g(g(g(g(1))))), g(g(z2))) -> c3(F(g(g(g(g(0)))), g(g(g(g(g(1))))), g(z2))) F(g(g(g(g(y0)))), g(g(g(g(g(y1))))), g(g(g(y2)))) -> c3(F(g(g(g(g(y0)))), g(g(g(g(g(y1))))), g(g(y2)))) F(g(0), g(g(g(1))), g(g(g(y0)))) -> c3(F(g(0), g(g(g(1))), g(g(y0)))) F(g(0), g(g(g(1))), g(g(g(g(y0))))) -> c3(F(g(0), g(g(g(1))), g(g(g(y0))))) F(g(y0), g(g(g(g(g(g(y1)))))), g(g(z2))) -> c3(F(g(y0), g(g(g(g(g(g(y1)))))), g(z2))) F(g(0), g(g(g(g(g(1))))), g(g(z2))) -> c3(F(g(0), g(g(g(g(g(1))))), g(z2))) F(g(y0), g(g(g(g(g(y1))))), g(g(g(y2)))) -> c3(F(g(y0), g(g(g(g(g(y1))))), g(g(y2)))) F(g(g(0)), g(g(g(g(1)))), g(g(g(y0)))) -> c3(F(g(g(0)), g(g(g(g(1)))), g(g(y0)))) F(g(g(0)), g(g(g(g(1)))), g(g(g(g(y0))))) -> c3(F(g(g(0)), g(g(g(g(1)))), g(g(g(y0))))) F(g(g(y0)), g(g(g(g(g(g(g(y1))))))), g(g(z2))) -> c3(F(g(g(y0)), g(g(g(g(g(g(g(y1))))))), g(z2))) F(g(g(y0)), g(g(g(g(g(g(y1)))))), g(g(g(y2)))) -> c3(F(g(g(y0)), g(g(g(g(g(g(y1)))))), g(g(y2)))) F(g(g(0)), g(g(g(g(g(g(1)))))), g(g(z2))) -> c3(F(g(g(0)), g(g(g(g(g(g(1)))))), g(z2))) F(g(g(g(y0))), g(g(g(g(g(g(g(y1))))))), g(g(z2))) -> c3(F(g(g(g(y0))), g(g(g(g(g(g(g(y1))))))), g(z2))) F(g(g(g(0))), g(g(g(g(g(g(1)))))), g(g(z2))) -> c3(F(g(g(g(0))), g(g(g(g(g(g(1)))))), g(z2))) F(g(g(g(y0))), g(g(g(g(g(g(y1)))))), g(g(g(y2)))) -> c3(F(g(g(g(y0))), g(g(g(g(g(g(y1)))))), g(g(y2)))) F(g(g(g(g(g(y0))))), g(g(g(g(g(g(y1)))))), g(g(z2))) -> c3(F(g(g(g(g(g(y0))))), g(g(g(g(g(g(y1)))))), g(z2))) F(g(g(g(g(y0)))), g(g(g(g(g(g(g(y1))))))), g(g(z2))) -> c3(F(g(g(g(g(y0)))), g(g(g(g(g(g(g(y1))))))), g(z2))) F(g(g(g(g(0)))), g(g(g(g(g(g(1)))))), g(g(z2))) -> c3(F(g(g(g(g(0)))), g(g(g(g(g(g(1)))))), g(z2))) F(g(g(g(g(y0)))), g(g(g(g(g(g(y1)))))), g(g(g(y2)))) -> c3(F(g(g(g(g(y0)))), g(g(g(g(g(g(y1)))))), g(g(y2)))) F(0, 1, g(g(g(g(g(y0)))))) -> c3(F(0, 1, g(g(g(g(y0)))))) F(g(0), 1, g(g(g(g(g(y0)))))) -> c3(F(g(0), 1, g(g(g(g(y0)))))) Defined Rule Symbols:none Defined Pair Symbols: F_3 Compound Symbols: c3_1, c1_1, c_1, c2_1 ---------------------------------------- (71) CdtForwardInstantiationProof (BOTH BOUNDS(ID, ID)) Use forward instantiation to replace F(g(g(y0)), z1, g(z2)) -> c3(F(g(g(y0)), z1, z2)) by F(g(g(z0)), z1, g(g(y2))) -> c3(F(g(g(z0)), z1, g(y2))) F(g(g(z0)), g(y1), g(g(y2))) -> c3(F(g(g(z0)), g(y1), g(y2))) F(g(g(z0)), z1, g(g(g(y2)))) -> c3(F(g(g(z0)), z1, g(g(y2)))) F(g(g(z0)), g(g(y1)), g(g(y2))) -> c3(F(g(g(z0)), g(g(y1)), g(y2))) F(g(g(z0)), g(y1), g(g(g(y2)))) -> c3(F(g(g(z0)), g(y1), g(g(y2)))) F(g(g(0)), 1, g(z2)) -> c3(F(g(g(0)), 1, z2)) F(g(g(g(y0))), z1, g(z2)) -> c3(F(g(g(g(y0))), z1, z2)) F(g(g(z0)), g(y1), g(z2)) -> c3(F(g(g(z0)), g(y1), z2)) F(g(g(z0)), g(g(y1)), g(z2)) -> c3(F(g(g(z0)), g(g(y1)), z2)) F(g(g(0)), g(1), g(z2)) -> c3(F(g(g(0)), g(1), z2)) F(g(g(g(y0))), g(y1), g(z2)) -> c3(F(g(g(g(y0))), g(y1), z2)) F(g(g(0)), 1, g(g(y0))) -> c3(F(g(g(0)), 1, g(y0))) F(g(g(g(y0))), z1, g(g(y2))) -> c3(F(g(g(g(y0))), z1, g(y2))) F(g(g(0)), g(1), g(g(y0))) -> c3(F(g(g(0)), g(1), g(y0))) F(g(g(g(y0))), g(y1), g(g(y2))) -> c3(F(g(g(g(y0))), g(y1), g(y2))) F(g(g(g(g(y0)))), g(y1), g(z2)) -> c3(F(g(g(g(g(y0)))), g(y1), z2)) F(g(g(g(y0))), g(g(y1)), g(z2)) -> c3(F(g(g(g(y0))), g(g(y1)), z2)) F(g(g(g(0))), g(1), g(z2)) -> c3(F(g(g(g(0))), g(1), z2)) F(g(g(g(y0))), g(y1), g(g(g(y2)))) -> c3(F(g(g(g(y0))), g(y1), g(g(y2)))) F(g(g(g(g(y0)))), g(y1), g(g(y2))) -> c3(F(g(g(g(g(y0)))), g(y1), g(y2))) F(g(g(g(y0))), g(g(y1)), g(g(y2))) -> c3(F(g(g(g(y0))), g(g(y1)), g(y2))) F(g(g(g(0))), g(1), g(g(y0))) -> c3(F(g(g(g(0))), g(1), g(y0))) F(g(g(g(0))), 1, g(g(y0))) -> c3(F(g(g(g(0))), 1, g(y0))) F(g(g(g(g(y0)))), z1, g(g(y2))) -> c3(F(g(g(g(g(y0)))), z1, g(y2))) F(g(g(g(y0))), z1, g(g(g(y2)))) -> c3(F(g(g(g(y0))), z1, g(g(y2)))) F(g(g(g(g(g(y0))))), g(y1), g(g(y2))) -> c3(F(g(g(g(g(g(y0))))), g(y1), g(y2))) F(g(g(g(g(y0)))), g(g(y1)), g(g(y2))) -> c3(F(g(g(g(g(y0)))), g(g(y1)), g(y2))) F(g(g(g(g(0)))), g(1), g(g(y0))) -> c3(F(g(g(g(g(0)))), g(1), g(y0))) F(g(g(g(g(y0)))), g(y1), g(g(g(y2)))) -> c3(F(g(g(g(g(y0)))), g(y1), g(g(y2)))) F(g(g(0)), 1, g(g(g(y0)))) -> c3(F(g(g(0)), 1, g(g(y0)))) F(g(g(0)), 1, g(g(g(g(y0))))) -> c3(F(g(g(0)), 1, g(g(g(y0))))) F(g(g(z0)), g(g(g(y1))), g(z2)) -> c3(F(g(g(z0)), g(g(g(y1))), z2)) F(g(g(z0)), g(g(y1)), g(g(g(y2)))) -> c3(F(g(g(z0)), g(g(y1)), g(g(y2)))) F(g(g(z0)), g(g(g(y1))), g(g(y2))) -> c3(F(g(g(z0)), g(g(g(y1))), g(y2))) F(g(g(0)), g(g(1)), g(z2)) -> c3(F(g(g(0)), g(g(1)), z2)) F(g(g(0)), g(g(1)), g(g(y0))) -> c3(F(g(g(0)), g(g(1)), g(y0))) F(g(g(g(g(y0)))), g(g(y1)), g(z2)) -> c3(F(g(g(g(g(y0)))), g(g(y1)), z2)) F(g(g(g(y0))), g(g(g(y1))), g(z2)) -> c3(F(g(g(g(y0))), g(g(g(y1))), z2)) F(g(g(g(0))), g(g(1)), g(z2)) -> c3(F(g(g(g(0))), g(g(1)), z2)) F(g(g(g(y0))), g(g(y1)), g(g(g(y2)))) -> c3(F(g(g(g(y0))), g(g(y1)), g(g(y2)))) F(g(g(g(y0))), g(g(g(y1))), g(g(y2))) -> c3(F(g(g(g(y0))), g(g(g(y1))), g(y2))) F(g(g(g(0))), g(g(1)), g(g(y0))) -> c3(F(g(g(g(0))), g(g(1)), g(y0))) F(g(g(g(g(g(y0))))), g(g(y1)), g(g(y2))) -> c3(F(g(g(g(g(g(y0))))), g(g(y1)), g(y2))) F(g(g(g(g(y0)))), g(g(g(y1))), g(g(y2))) -> c3(F(g(g(g(g(y0)))), g(g(g(y1))), g(y2))) F(g(g(g(g(0)))), g(g(1)), g(g(y0))) -> c3(F(g(g(g(g(0)))), g(g(1)), g(y0))) F(g(g(g(g(y0)))), g(g(y1)), g(g(g(y2)))) -> c3(F(g(g(g(g(y0)))), g(g(y1)), g(g(y2)))) F(g(g(0)), g(1), g(g(g(y0)))) -> c3(F(g(g(0)), g(1), g(g(y0)))) F(g(g(0)), g(1), g(g(g(g(y0))))) -> c3(F(g(g(0)), g(1), g(g(g(y0))))) F(g(g(z0)), g(g(g(g(y1)))), g(g(y2))) -> c3(F(g(g(z0)), g(g(g(g(y1)))), g(y2))) F(g(g(z0)), g(g(g(y1))), g(g(g(y2)))) -> c3(F(g(g(z0)), g(g(g(y1))), g(g(y2)))) F(g(g(0)), g(g(g(1))), g(g(y0))) -> c3(F(g(g(0)), g(g(g(1))), g(y0))) F(g(g(g(y0))), g(g(g(g(y1)))), g(g(y2))) -> c3(F(g(g(g(y0))), g(g(g(g(y1)))), g(y2))) F(g(g(g(0))), g(g(g(1))), g(g(y0))) -> c3(F(g(g(g(0))), g(g(g(1))), g(y0))) F(g(g(g(y0))), g(g(g(y1))), g(g(g(y2)))) -> c3(F(g(g(g(y0))), g(g(g(y1))), g(g(y2)))) F(g(g(g(g(g(y0))))), g(g(g(y1))), g(g(y2))) -> c3(F(g(g(g(g(g(y0))))), g(g(g(y1))), g(y2))) F(g(g(g(g(y0)))), g(g(g(g(y1)))), g(g(y2))) -> c3(F(g(g(g(g(y0)))), g(g(g(g(y1)))), g(y2))) F(g(g(g(g(0)))), g(g(g(1))), g(g(y0))) -> c3(F(g(g(g(g(0)))), g(g(g(1))), g(y0))) F(g(g(g(g(y0)))), g(g(g(y1))), g(g(g(y2)))) -> c3(F(g(g(g(g(y0)))), g(g(g(y1))), g(g(y2)))) F(g(g(z0)), g(g(g(g(y1)))), g(z2)) -> c3(F(g(g(z0)), g(g(g(g(y1)))), z2)) F(g(g(0)), g(g(g(1))), g(z2)) -> c3(F(g(g(0)), g(g(g(1))), z2)) F(g(g(g(g(y0)))), g(g(g(y1))), g(z2)) -> c3(F(g(g(g(g(y0)))), g(g(g(y1))), z2)) F(g(g(g(y0))), g(g(g(g(y1)))), g(z2)) -> c3(F(g(g(g(y0))), g(g(g(g(y1)))), z2)) F(g(g(g(0))), g(g(g(1))), g(z2)) -> c3(F(g(g(g(0))), g(g(g(1))), z2)) F(g(g(0)), g(g(1)), g(g(g(y0)))) -> c3(F(g(g(0)), g(g(1)), g(g(y0)))) F(g(g(0)), g(g(1)), g(g(g(g(y0))))) -> c3(F(g(g(0)), g(g(1)), g(g(g(y0))))) F(g(g(z0)), g(g(g(g(g(y1))))), g(g(y2))) -> c3(F(g(g(z0)), g(g(g(g(g(y1))))), g(y2))) F(g(g(z0)), g(g(g(g(y1)))), g(g(g(y2)))) -> c3(F(g(g(z0)), g(g(g(g(y1)))), g(g(y2)))) F(g(g(0)), g(g(g(g(1)))), g(g(y0))) -> c3(F(g(g(0)), g(g(g(g(1)))), g(y0))) F(g(g(g(y0))), g(g(g(g(g(y1))))), g(g(y2))) -> c3(F(g(g(g(y0))), g(g(g(g(g(y1))))), g(y2))) F(g(g(g(0))), g(g(g(g(1)))), g(g(y0))) -> c3(F(g(g(g(0))), g(g(g(g(1)))), g(y0))) F(g(g(g(y0))), g(g(g(g(y1)))), g(g(g(y2)))) -> c3(F(g(g(g(y0))), g(g(g(g(y1)))), g(g(y2)))) F(g(g(g(g(g(y0))))), g(g(g(g(y1)))), g(g(y2))) -> c3(F(g(g(g(g(g(y0))))), g(g(g(g(y1)))), g(y2))) F(g(g(g(g(y0)))), g(g(g(g(g(y1))))), g(g(y2))) -> c3(F(g(g(g(g(y0)))), g(g(g(g(g(y1))))), g(y2))) F(g(g(g(g(0)))), g(g(g(g(1)))), g(g(y0))) -> c3(F(g(g(g(g(0)))), g(g(g(g(1)))), g(y0))) F(g(g(g(g(y0)))), g(g(g(g(y1)))), g(g(g(y2)))) -> c3(F(g(g(g(g(y0)))), g(g(g(g(y1)))), g(g(y2)))) F(g(g(z0)), g(g(g(g(g(y1))))), g(z2)) -> c3(F(g(g(z0)), g(g(g(g(g(y1))))), z2)) F(g(g(0)), g(g(g(g(1)))), g(z2)) -> c3(F(g(g(0)), g(g(g(g(1)))), z2)) F(g(g(g(g(y0)))), g(g(g(g(y1)))), g(z2)) -> c3(F(g(g(g(g(y0)))), g(g(g(g(y1)))), z2)) F(g(g(g(y0))), g(g(g(g(g(y1))))), g(z2)) -> c3(F(g(g(g(y0))), g(g(g(g(g(y1))))), z2)) F(g(g(g(0))), g(g(g(g(1)))), g(z2)) -> c3(F(g(g(g(0))), g(g(g(g(1)))), z2)) F(g(g(0)), g(g(g(1))), g(g(g(y0)))) -> c3(F(g(g(0)), g(g(g(1))), g(g(y0)))) F(g(g(0)), g(g(g(1))), g(g(g(g(y0))))) -> c3(F(g(g(0)), g(g(g(1))), g(g(g(y0))))) F(g(g(z0)), g(g(g(g(g(g(y1)))))), g(g(y2))) -> c3(F(g(g(z0)), g(g(g(g(g(g(y1)))))), g(y2))) F(g(g(z0)), g(g(g(g(g(y1))))), g(g(g(y2)))) -> c3(F(g(g(z0)), g(g(g(g(g(y1))))), g(g(y2)))) F(g(g(0)), g(g(g(g(g(1))))), g(g(y0))) -> c3(F(g(g(0)), g(g(g(g(g(1))))), g(y0))) F(g(g(g(y0))), g(g(g(g(g(g(y1)))))), g(g(y2))) -> c3(F(g(g(g(y0))), g(g(g(g(g(g(y1)))))), g(y2))) F(g(g(g(0))), g(g(g(g(g(1))))), g(g(y0))) -> c3(F(g(g(g(0))), g(g(g(g(g(1))))), g(y0))) F(g(g(g(y0))), g(g(g(g(g(y1))))), g(g(g(y2)))) -> c3(F(g(g(g(y0))), g(g(g(g(g(y1))))), g(g(y2)))) F(g(g(g(g(g(y0))))), g(g(g(g(g(y1))))), g(g(y2))) -> c3(F(g(g(g(g(g(y0))))), g(g(g(g(g(y1))))), g(y2))) F(g(g(g(g(y0)))), g(g(g(g(g(g(y1)))))), g(g(y2))) -> c3(F(g(g(g(g(y0)))), g(g(g(g(g(g(y1)))))), g(y2))) F(g(g(g(g(0)))), g(g(g(g(g(1))))), g(g(y0))) -> c3(F(g(g(g(g(0)))), g(g(g(g(g(1))))), g(y0))) F(g(g(g(g(y0)))), g(g(g(g(g(y1))))), g(g(g(y2)))) -> c3(F(g(g(g(g(y0)))), g(g(g(g(g(y1))))), g(g(y2)))) F(g(g(0)), g(g(g(g(1)))), g(g(g(y0)))) -> c3(F(g(g(0)), g(g(g(g(1)))), g(g(y0)))) F(g(g(0)), g(g(g(g(1)))), g(g(g(g(y0))))) -> c3(F(g(g(0)), g(g(g(g(1)))), g(g(g(y0))))) F(g(g(z0)), g(g(g(g(g(g(g(y1))))))), g(g(y2))) -> c3(F(g(g(z0)), g(g(g(g(g(g(g(y1))))))), g(y2))) F(g(g(z0)), g(g(g(g(g(g(y1)))))), g(g(g(y2)))) -> c3(F(g(g(z0)), g(g(g(g(g(g(y1)))))), g(g(y2)))) F(g(g(0)), g(g(g(g(g(g(1)))))), g(g(y0))) -> c3(F(g(g(0)), g(g(g(g(g(g(1)))))), g(y0))) F(g(g(g(y0))), g(g(g(g(g(g(g(y1))))))), g(g(y2))) -> c3(F(g(g(g(y0))), g(g(g(g(g(g(g(y1))))))), g(y2))) F(g(g(g(0))), g(g(g(g(g(g(1)))))), g(g(y0))) -> c3(F(g(g(g(0))), g(g(g(g(g(g(1)))))), g(y0))) F(g(g(g(y0))), g(g(g(g(g(g(y1)))))), g(g(g(y2)))) -> c3(F(g(g(g(y0))), g(g(g(g(g(g(y1)))))), g(g(y2)))) F(g(g(g(g(g(y0))))), g(g(g(g(g(g(y1)))))), g(g(y2))) -> c3(F(g(g(g(g(g(y0))))), g(g(g(g(g(g(y1)))))), g(y2))) F(g(g(g(g(y0)))), g(g(g(g(g(g(g(y1))))))), g(g(y2))) -> c3(F(g(g(g(g(y0)))), g(g(g(g(g(g(g(y1))))))), g(y2))) F(g(g(g(g(0)))), g(g(g(g(g(g(1)))))), g(g(y0))) -> c3(F(g(g(g(g(0)))), g(g(g(g(g(g(1)))))), g(y0))) F(g(g(g(g(y0)))), g(g(g(g(g(g(y1)))))), g(g(g(y2)))) -> c3(F(g(g(g(g(y0)))), g(g(g(g(g(g(y1)))))), g(g(y2)))) F(g(g(z0)), z1, g(g(g(g(y2))))) -> c3(F(g(g(z0)), z1, g(g(g(y2))))) F(g(g(z0)), g(y1), g(g(g(g(y2))))) -> c3(F(g(g(z0)), g(y1), g(g(g(y2))))) F(g(g(g(0))), g(1), g(g(g(y0)))) -> c3(F(g(g(g(0))), g(1), g(g(y0)))) F(g(g(g(y0))), g(y1), g(g(g(g(y2))))) -> c3(F(g(g(g(y0))), g(y1), g(g(g(y2))))) F(g(g(g(0))), 1, g(g(g(y0)))) -> c3(F(g(g(g(0))), 1, g(g(y0)))) F(g(g(g(g(y0)))), z1, g(g(g(y2)))) -> c3(F(g(g(g(g(y0)))), z1, g(g(y2)))) F(g(g(g(y0))), z1, g(g(g(g(y2))))) -> c3(F(g(g(g(y0))), z1, g(g(g(y2))))) F(g(g(g(g(g(y0))))), g(y1), g(g(g(y2)))) -> c3(F(g(g(g(g(g(y0))))), g(y1), g(g(y2)))) F(g(g(g(g(0)))), g(1), g(g(g(y0)))) -> c3(F(g(g(g(g(0)))), g(1), g(g(y0)))) F(g(g(g(g(y0)))), g(y1), g(g(g(g(y2))))) -> c3(F(g(g(g(g(y0)))), g(y1), g(g(g(y2))))) F(g(g(0)), 1, g(g(g(g(g(y0)))))) -> c3(F(g(g(0)), 1, g(g(g(g(y0)))))) F(g(g(z0)), g(g(y1)), g(g(g(g(y2))))) -> c3(F(g(g(z0)), g(g(y1)), g(g(g(y2))))) F(g(g(g(0))), g(g(1)), g(g(g(y0)))) -> c3(F(g(g(g(0))), g(g(1)), g(g(y0)))) F(g(g(g(y0))), g(g(y1)), g(g(g(g(y2))))) -> c3(F(g(g(g(y0))), g(g(y1)), g(g(g(y2))))) F(g(g(g(g(g(y0))))), g(g(y1)), g(g(g(y2)))) -> c3(F(g(g(g(g(g(y0))))), g(g(y1)), g(g(y2)))) F(g(g(g(g(0)))), g(g(1)), g(g(g(y0)))) -> c3(F(g(g(g(g(0)))), g(g(1)), g(g(y0)))) F(g(g(g(g(y0)))), g(g(y1)), g(g(g(g(y2))))) -> c3(F(g(g(g(g(y0)))), g(g(y1)), g(g(g(y2))))) F(g(g(0)), g(1), g(g(g(g(g(y0)))))) -> c3(F(g(g(0)), g(1), g(g(g(g(y0)))))) F(g(g(z0)), g(g(g(y1))), g(g(g(g(y2))))) -> c3(F(g(g(z0)), g(g(g(y1))), g(g(g(y2))))) F(g(g(g(0))), g(g(g(1))), g(g(g(y0)))) -> c3(F(g(g(g(0))), g(g(g(1))), g(g(y0)))) F(g(g(g(y0))), g(g(g(y1))), g(g(g(g(y2))))) -> c3(F(g(g(g(y0))), g(g(g(y1))), g(g(g(y2))))) F(g(g(g(g(g(y0))))), g(g(g(y1))), g(g(g(y2)))) -> c3(F(g(g(g(g(g(y0))))), g(g(g(y1))), g(g(y2)))) F(g(g(g(g(0)))), g(g(g(1))), g(g(g(y0)))) -> c3(F(g(g(g(g(0)))), g(g(g(1))), g(g(y0)))) F(g(g(g(g(y0)))), g(g(g(y1))), g(g(g(g(y2))))) -> c3(F(g(g(g(g(y0)))), g(g(g(y1))), g(g(g(y2))))) F(g(g(0)), g(g(1)), g(g(g(g(g(y0)))))) -> c3(F(g(g(0)), g(g(1)), g(g(g(g(y0)))))) F(g(g(z0)), g(g(g(g(y1)))), g(g(g(g(y2))))) -> c3(F(g(g(z0)), g(g(g(g(y1)))), g(g(g(y2))))) F(g(g(g(0))), g(g(g(g(1)))), g(g(g(y0)))) -> c3(F(g(g(g(0))), g(g(g(g(1)))), g(g(y0)))) F(g(g(g(y0))), g(g(g(g(y1)))), g(g(g(g(y2))))) -> c3(F(g(g(g(y0))), g(g(g(g(y1)))), g(g(g(y2))))) F(g(g(g(g(g(y0))))), g(g(g(g(y1)))), g(g(g(y2)))) -> c3(F(g(g(g(g(g(y0))))), g(g(g(g(y1)))), g(g(y2)))) F(g(g(g(g(0)))), g(g(g(g(1)))), g(g(g(y0)))) -> c3(F(g(g(g(g(0)))), g(g(g(g(1)))), g(g(y0)))) F(g(g(g(g(y0)))), g(g(g(g(y1)))), g(g(g(g(y2))))) -> c3(F(g(g(g(g(y0)))), g(g(g(g(y1)))), g(g(g(y2))))) F(g(g(0)), g(g(g(1))), g(g(g(g(g(y0)))))) -> c3(F(g(g(0)), g(g(g(1))), g(g(g(g(y0)))))) F(g(g(z0)), g(g(g(g(g(y1))))), g(g(g(g(y2))))) -> c3(F(g(g(z0)), g(g(g(g(g(y1))))), g(g(g(y2))))) F(g(g(0)), g(g(g(g(g(1))))), g(g(g(y0)))) -> c3(F(g(g(0)), g(g(g(g(g(1))))), g(g(y0)))) F(g(g(g(0))), g(g(g(g(g(1))))), g(g(g(y0)))) -> c3(F(g(g(g(0))), g(g(g(g(g(1))))), g(g(y0)))) F(g(g(g(y0))), g(g(g(g(g(y1))))), g(g(g(g(y2))))) -> c3(F(g(g(g(y0))), g(g(g(g(g(y1))))), g(g(g(y2))))) F(g(g(g(g(g(y0))))), g(g(g(g(g(y1))))), g(g(g(y2)))) -> c3(F(g(g(g(g(g(y0))))), g(g(g(g(g(y1))))), g(g(y2)))) F(g(g(g(g(0)))), g(g(g(g(g(1))))), g(g(g(y0)))) -> c3(F(g(g(g(g(0)))), g(g(g(g(g(1))))), g(g(y0)))) F(g(g(g(g(y0)))), g(g(g(g(g(y1))))), g(g(g(g(y2))))) -> c3(F(g(g(g(g(y0)))), g(g(g(g(g(y1))))), g(g(g(y2))))) F(g(g(0)), g(g(g(g(1)))), g(g(g(g(g(y0)))))) -> c3(F(g(g(0)), g(g(g(g(1)))), g(g(g(g(y0)))))) F(g(g(z0)), g(g(g(g(g(g(g(y1))))))), g(g(g(y2)))) -> c3(F(g(g(z0)), g(g(g(g(g(g(g(y1))))))), g(g(y2)))) F(g(g(z0)), g(g(g(g(g(g(y1)))))), g(g(g(g(y2))))) -> c3(F(g(g(z0)), g(g(g(g(g(g(y1)))))), g(g(g(y2))))) F(g(g(0)), g(g(g(g(g(g(1)))))), g(g(g(y0)))) -> c3(F(g(g(0)), g(g(g(g(g(g(1)))))), g(g(y0)))) F(g(g(g(y0))), g(g(g(g(g(g(g(y1))))))), g(g(g(y2)))) -> c3(F(g(g(g(y0))), g(g(g(g(g(g(g(y1))))))), g(g(y2)))) F(g(g(g(0))), g(g(g(g(g(g(1)))))), g(g(g(y0)))) -> c3(F(g(g(g(0))), g(g(g(g(g(g(1)))))), g(g(y0)))) F(g(g(g(y0))), g(g(g(g(g(g(y1)))))), g(g(g(g(y2))))) -> c3(F(g(g(g(y0))), g(g(g(g(g(g(y1)))))), g(g(g(y2))))) F(g(g(g(g(g(y0))))), g(g(g(g(g(g(y1)))))), g(g(g(y2)))) -> c3(F(g(g(g(g(g(y0))))), g(g(g(g(g(g(y1)))))), g(g(y2)))) F(g(g(g(g(y0)))), g(g(g(g(g(g(g(y1))))))), g(g(g(y2)))) -> c3(F(g(g(g(g(y0)))), g(g(g(g(g(g(g(y1))))))), g(g(y2)))) F(g(g(g(g(0)))), g(g(g(g(g(g(1)))))), g(g(g(y0)))) -> c3(F(g(g(g(g(0)))), g(g(g(g(g(g(1)))))), g(g(y0)))) F(g(g(g(g(y0)))), g(g(g(g(g(g(y1)))))), g(g(g(g(y2))))) -> c3(F(g(g(g(g(y0)))), g(g(g(g(g(g(y1)))))), g(g(g(y2))))) ---------------------------------------- (72) Obligation: Complexity Dependency Tuples Problem Rules:none Tuples: F(g(y0), g(y1), g(z2)) -> c3(F(g(y0), g(y1), z2)) F(g(y0), z1, g(g(y2))) -> c3(F(g(y0), z1, g(y2))) F(0, g(1), g(z2)) -> c3(F(0, g(1), z2)) F(z0, g(g(y1)), g(z2)) -> c3(F(z0, g(g(y1)), z2)) F(z0, g(y1), g(g(y2))) -> c3(F(z0, g(y1), g(y2))) F(g(0), g(1), g(z2)) -> c3(F(g(0), g(1), z2)) F(g(g(y0)), g(y1), g(z2)) -> c3(F(g(g(y0)), g(y1), z2)) F(g(y0), g(g(y1)), g(z2)) -> c3(F(g(y0), g(g(y1)), z2)) F(g(y0), g(y1), g(g(y2))) -> c3(F(g(y0), g(y1), g(y2))) F(g(g(0)), 1, z2) -> c1(F(g(0), 1, z2)) F(g(g(g(y0))), z1, z2) -> c1(F(g(g(y0)), z1, z2)) F(g(g(z0)), g(y1), z2) -> c1(F(g(z0), g(y1), z2)) F(g(g(z0)), z1, g(y2)) -> c1(F(g(z0), z1, g(y2))) F(g(g(z0)), g(g(y1)), z2) -> c1(F(g(z0), g(g(y1)), z2)) F(g(g(z0)), g(y1), g(y2)) -> c1(F(g(z0), g(y1), g(y2))) F(g(g(0)), g(1), z2) -> c1(F(g(0), g(1), z2)) F(g(g(g(y0))), g(y1), z2) -> c1(F(g(g(y0)), g(y1), z2)) F(g(g(z0)), z1, g(g(y2))) -> c1(F(g(z0), z1, g(g(y2)))) F(g(g(0)), 1, g(y0)) -> c1(F(g(0), 1, g(y0))) F(g(g(g(y0))), z1, g(y2)) -> c1(F(g(g(y0)), z1, g(y2))) F(g(g(z0)), g(g(y1)), g(y2)) -> c1(F(g(z0), g(g(y1)), g(y2))) F(g(g(z0)), g(y1), g(g(y2))) -> c1(F(g(z0), g(y1), g(g(y2)))) F(g(g(0)), g(1), g(y0)) -> c1(F(g(0), g(1), g(y0))) F(g(g(g(y0))), g(y1), g(y2)) -> c1(F(g(g(y0)), g(y1), g(y2))) F(g(0), g(1), z2) -> c1(F(0, g(1), z2)) F(g(z0), g(g(y1)), z2) -> c1(F(z0, g(g(y1)), z2)) F(g(z0), g(z1), g(y2)) -> c1(F(z0, g(z1), g(y2))) F(g(z0), g(z1), g(g(y2))) -> c1(F(z0, g(z1), g(g(y2)))) F(g(0), g(1), g(y0)) -> c1(F(0, g(1), g(y0))) F(g(z0), g(g(y1)), g(y2)) -> c1(F(z0, g(g(y1)), g(y2))) F(g(g(g(g(y0)))), g(z1), z2) -> c1(F(g(g(g(y0))), g(z1), z2)) F(g(g(g(y0))), g(g(y1)), z2) -> c1(F(g(g(y0)), g(g(y1)), z2)) F(g(g(g(0))), g(1), z2) -> c1(F(g(g(0)), g(1), z2)) F(g(g(g(y0))), g(z1), g(g(y2))) -> c1(F(g(g(y0)), g(z1), g(g(y2)))) F(g(g(g(g(y0)))), g(z1), g(y2)) -> c1(F(g(g(g(y0))), g(z1), g(y2))) F(g(g(g(y0))), g(g(y1)), g(y2)) -> c1(F(g(g(y0)), g(g(y1)), g(y2))) F(g(g(g(0))), g(1), g(y0)) -> c1(F(g(g(0)), g(1), g(y0))) F(0, 1, g(y2)) -> c(F(g(g(y2)), g(g(y2)), g(y2))) F(0, 1, g(g(y2))) -> c(F(g(g(g(y2))), g(g(g(y2))), g(g(y2)))) F(0, 1, g(g(g(y0)))) -> c(F(g(g(g(g(y0)))), g(g(g(g(y0)))), g(g(g(y0))))) F(g(0), 1, g(y0)) -> c1(F(0, 1, g(y0))) F(g(0), 1, g(g(y2))) -> c1(F(0, 1, g(g(y2)))) F(g(0), 1, g(g(g(y0)))) -> c1(F(0, 1, g(g(g(y0))))) F(g(z0), z1, g(g(y2))) -> c1(F(z0, z1, g(g(y2)))) F(g(g(g(0))), 1, g(z2)) -> c1(F(g(g(0)), 1, g(z2))) F(g(g(g(g(y0)))), z1, g(z2)) -> c1(F(g(g(g(y0))), z1, g(z2))) F(g(g(g(y0))), z1, g(g(y2))) -> c1(F(g(g(y0)), z1, g(g(y2)))) F(g(g(g(g(g(y0))))), g(y1), g(z2)) -> c1(F(g(g(g(g(y0)))), g(y1), g(z2))) F(g(g(g(g(y0)))), g(g(y1)), g(z2)) -> c1(F(g(g(g(y0))), g(g(y1)), g(z2))) F(g(g(g(g(0)))), g(1), g(z2)) -> c1(F(g(g(g(0))), g(1), g(z2))) F(g(g(g(g(y0)))), g(y1), g(g(y2))) -> c1(F(g(g(g(y0))), g(y1), g(g(y2)))) F(g(g(0)), 1, g(g(y0))) -> c1(F(g(0), 1, g(g(y0)))) F(g(g(0)), 1, g(g(g(y0)))) -> c1(F(g(0), 1, g(g(g(y0))))) F(0, g(1), g(y0)) -> c2(F(0, 1, g(y0))) F(0, g(1), g(g(y2))) -> c2(F(0, 1, g(g(y2)))) F(0, g(1), g(g(g(y0)))) -> c2(F(0, 1, g(g(g(y0))))) F(z0, g(g(g(y1))), z2) -> c2(F(z0, g(g(y1)), z2)) F(z0, g(g(z1)), g(y2)) -> c2(F(z0, g(z1), g(y2))) F(g(0), g(g(1)), z2) -> c2(F(g(0), g(1), z2)) F(g(g(y0)), g(g(z1)), z2) -> c2(F(g(g(y0)), g(z1), z2)) F(g(y0), g(g(g(y1))), z2) -> c2(F(g(y0), g(g(y1)), z2)) F(g(y0), g(g(z1)), g(y2)) -> c2(F(g(y0), g(z1), g(y2))) F(z0, g(g(z1)), g(g(y2))) -> c2(F(z0, g(z1), g(g(y2)))) F(g(g(y0)), g(g(z1)), g(y2)) -> c2(F(g(g(y0)), g(z1), g(y2))) F(g(y0), g(g(z1)), g(g(y2))) -> c2(F(g(y0), g(z1), g(g(y2)))) F(0, g(g(1)), g(y0)) -> c2(F(0, g(1), g(y0))) F(z0, g(g(g(y1))), g(y2)) -> c2(F(z0, g(g(y1)), g(y2))) F(g(0), g(g(1)), g(y0)) -> c2(F(g(0), g(1), g(y0))) F(g(y0), g(g(g(y1))), g(y2)) -> c2(F(g(y0), g(g(y1)), g(y2))) F(g(g(g(y0))), g(g(z1)), z2) -> c2(F(g(g(g(y0))), g(z1), z2)) F(g(g(y0)), g(g(g(y1))), z2) -> c2(F(g(g(y0)), g(g(y1)), z2)) F(g(g(0)), g(g(1)), z2) -> c2(F(g(g(0)), g(1), z2)) F(g(g(y0)), g(g(z1)), g(g(y2))) -> c2(F(g(g(y0)), g(z1), g(g(y2)))) F(g(g(g(y0))), g(g(z1)), g(y2)) -> c2(F(g(g(g(y0))), g(z1), g(y2))) F(g(g(y0)), g(g(g(y1))), g(y2)) -> c2(F(g(g(y0)), g(g(y1)), g(y2))) F(g(g(0)), g(g(1)), g(y0)) -> c2(F(g(g(0)), g(1), g(y0))) F(g(g(g(g(y0)))), g(g(z1)), z2) -> c2(F(g(g(g(g(y0)))), g(z1), z2)) F(g(g(g(y0))), g(g(g(y1))), z2) -> c2(F(g(g(g(y0))), g(g(y1)), z2)) F(g(g(g(0))), g(g(1)), z2) -> c2(F(g(g(g(0))), g(1), z2)) F(g(g(g(y0))), g(g(z1)), g(g(y2))) -> c2(F(g(g(g(y0))), g(z1), g(g(y2)))) F(g(g(g(g(y0)))), g(g(z1)), g(y2)) -> c2(F(g(g(g(g(y0)))), g(z1), g(y2))) F(g(g(g(y0))), g(g(g(y1))), g(y2)) -> c2(F(g(g(g(y0))), g(g(y1)), g(y2))) F(g(g(g(0))), g(g(1)), g(y0)) -> c2(F(g(g(g(0))), g(1), g(y0))) F(g(g(g(g(g(y0))))), g(g(z1)), g(y2)) -> c2(F(g(g(g(g(g(y0))))), g(z1), g(y2))) F(g(g(g(g(y0)))), g(g(g(y1))), g(y2)) -> c2(F(g(g(g(g(y0)))), g(g(y1)), g(y2))) F(g(g(g(g(0)))), g(g(1)), g(y0)) -> c2(F(g(g(g(g(0)))), g(1), g(y0))) F(g(g(g(g(y0)))), g(g(z1)), g(g(y2))) -> c2(F(g(g(g(g(y0)))), g(z1), g(g(y2)))) F(0, g(g(1)), g(g(y0))) -> c2(F(0, g(1), g(g(y0)))) F(0, g(g(1)), g(g(g(y0)))) -> c2(F(0, g(1), g(g(g(y0))))) F(z0, g(z1), g(g(y2))) -> c2(F(z0, z1, g(g(y2)))) F(g(0), g(1), g(z2)) -> c2(F(g(0), 1, g(z2))) F(g(g(y0)), g(z1), g(z2)) -> c2(F(g(g(y0)), z1, g(z2))) F(g(y0), g(z1), g(g(y2))) -> c2(F(g(y0), z1, g(g(y2)))) F(g(g(0)), g(1), g(z2)) -> c2(F(g(g(0)), 1, g(z2))) F(g(g(g(y0))), g(z1), g(z2)) -> c2(F(g(g(g(y0))), z1, g(z2))) F(g(g(y0)), g(z1), g(g(y2))) -> c2(F(g(g(y0)), z1, g(g(y2)))) F(g(0), g(1), g(g(y0))) -> c2(F(g(0), 1, g(g(y0)))) F(g(0), g(1), g(g(g(y0)))) -> c2(F(g(0), 1, g(g(g(y0))))) F(g(g(g(0))), g(1), g(z2)) -> c2(F(g(g(g(0))), 1, g(z2))) F(g(g(g(g(y0)))), g(z1), g(z2)) -> c2(F(g(g(g(g(y0)))), z1, g(z2))) F(g(g(g(y0))), g(z1), g(g(y2))) -> c2(F(g(g(g(y0))), z1, g(g(y2)))) F(g(g(0)), g(1), g(g(y0))) -> c2(F(g(g(0)), 1, g(g(y0)))) F(g(g(0)), g(1), g(g(g(y0)))) -> c2(F(g(g(0)), 1, g(g(g(y0))))) F(z0, g(g(g(g(y1)))), g(z2)) -> c2(F(z0, g(g(g(y1))), g(z2))) F(g(0), g(g(g(1))), g(z2)) -> c2(F(g(0), g(g(1)), g(z2))) F(g(y0), g(g(g(g(y1)))), g(z2)) -> c2(F(g(y0), g(g(g(y1))), g(z2))) F(z0, g(g(g(y1))), g(g(y2))) -> c2(F(z0, g(g(y1)), g(g(y2)))) F(g(y0), g(g(g(y1))), g(g(y2))) -> c2(F(g(y0), g(g(y1)), g(g(y2)))) F(0, g(g(g(1))), g(z2)) -> c2(F(0, g(g(1)), g(z2))) F(g(g(y0)), g(g(g(g(y1)))), g(z2)) -> c2(F(g(g(y0)), g(g(g(y1))), g(z2))) F(g(g(0)), g(g(g(1))), g(z2)) -> c2(F(g(g(0)), g(g(1)), g(z2))) F(g(g(y0)), g(g(g(y1))), g(g(y2))) -> c2(F(g(g(y0)), g(g(y1)), g(g(y2)))) F(g(g(g(y0))), g(g(g(g(y1)))), g(z2)) -> c2(F(g(g(g(y0))), g(g(g(y1))), g(z2))) F(g(g(g(0))), g(g(g(1))), g(z2)) -> c2(F(g(g(g(0))), g(g(1)), g(z2))) F(g(g(g(y0))), g(g(g(y1))), g(g(y2))) -> c2(F(g(g(g(y0))), g(g(y1)), g(g(y2)))) F(g(g(g(g(g(y0))))), g(g(g(y1))), g(z2)) -> c2(F(g(g(g(g(g(y0))))), g(g(y1)), g(z2))) F(g(g(g(g(y0)))), g(g(g(g(y1)))), g(z2)) -> c2(F(g(g(g(g(y0)))), g(g(g(y1))), g(z2))) F(g(g(g(g(0)))), g(g(g(1))), g(z2)) -> c2(F(g(g(g(g(0)))), g(g(1)), g(z2))) F(g(g(g(g(y0)))), g(g(g(y1))), g(g(y2))) -> c2(F(g(g(g(g(y0)))), g(g(y1)), g(g(y2)))) F(0, g(g(g(1))), g(g(y0))) -> c2(F(0, g(g(1)), g(g(y0)))) F(0, g(g(g(1))), g(g(g(y0)))) -> c2(F(0, g(g(1)), g(g(g(y0))))) F(g(g(0)), g(1), z2) -> c2(F(g(g(0)), 1, z2)) F(g(g(g(y0))), g(z1), z2) -> c2(F(g(g(g(y0))), z1, z2)) F(g(g(z0)), g(g(g(g(y1)))), z2) -> c2(F(g(g(z0)), g(g(g(y1))), z2)) F(g(g(0)), g(g(g(1))), z2) -> c2(F(g(g(0)), g(g(1)), z2)) F(g(g(g(g(y0)))), g(g(g(y1))), z2) -> c2(F(g(g(g(g(y0)))), g(g(y1)), z2)) F(g(g(g(y0))), g(g(g(g(y1)))), z2) -> c2(F(g(g(g(y0))), g(g(g(y1))), z2)) F(g(g(g(0))), g(g(g(1))), z2) -> c2(F(g(g(g(0))), g(g(1)), z2)) F(g(g(0)), g(g(1)), g(g(y0))) -> c2(F(g(g(0)), g(1), g(g(y0)))) F(g(g(0)), g(g(1)), g(g(g(y0)))) -> c2(F(g(g(0)), g(1), g(g(g(y0))))) F(g(g(z0)), g(g(g(g(g(y1))))), g(y2)) -> c2(F(g(g(z0)), g(g(g(g(y1)))), g(y2))) F(g(g(z0)), g(g(g(g(y1)))), g(g(y2))) -> c2(F(g(g(z0)), g(g(g(y1))), g(g(y2)))) F(g(g(0)), g(g(g(g(1)))), g(y0)) -> c2(F(g(g(0)), g(g(g(1))), g(y0))) F(g(g(g(y0))), g(g(g(g(g(y1))))), g(y2)) -> c2(F(g(g(g(y0))), g(g(g(g(y1)))), g(y2))) F(g(g(g(0))), g(g(g(g(1)))), g(y0)) -> c2(F(g(g(g(0))), g(g(g(1))), g(y0))) F(g(g(g(y0))), g(g(g(g(y1)))), g(g(y2))) -> c2(F(g(g(g(y0))), g(g(g(y1))), g(g(y2)))) F(g(g(g(g(g(y0))))), g(g(g(g(y1)))), g(y2)) -> c2(F(g(g(g(g(g(y0))))), g(g(g(y1))), g(y2))) F(g(g(g(g(y0)))), g(g(g(g(g(y1))))), g(y2)) -> c2(F(g(g(g(g(y0)))), g(g(g(g(y1)))), g(y2))) F(g(g(g(g(0)))), g(g(g(g(1)))), g(y0)) -> c2(F(g(g(g(g(0)))), g(g(g(1))), g(y0))) F(g(g(g(g(y0)))), g(g(g(g(y1)))), g(g(y2))) -> c2(F(g(g(g(g(y0)))), g(g(g(y1))), g(g(y2)))) F(g(z0), g(g(g(g(y1)))), z2) -> c2(F(g(z0), g(g(g(y1))), z2)) F(g(0), g(g(g(1))), z2) -> c2(F(g(0), g(g(1)), z2)) F(g(0), g(g(1)), g(g(y0))) -> c2(F(g(0), g(1), g(g(y0)))) F(g(0), g(g(1)), g(g(g(y0)))) -> c2(F(g(0), g(1), g(g(g(y0))))) F(g(z0), g(g(g(g(g(y1))))), g(y2)) -> c2(F(g(z0), g(g(g(g(y1)))), g(y2))) F(g(0), g(g(g(g(1)))), g(y0)) -> c2(F(g(0), g(g(g(1))), g(y0))) F(g(z0), g(g(g(g(y1)))), g(g(y2))) -> c2(F(g(z0), g(g(g(y1))), g(g(y2)))) F(g(g(y0)), g(g(g(g(g(y1))))), z2) -> c2(F(g(g(y0)), g(g(g(g(y1)))), z2)) F(g(g(0)), g(g(g(g(1)))), z2) -> c2(F(g(g(0)), g(g(g(1))), z2)) F(g(g(g(g(y0)))), g(g(g(g(y1)))), z2) -> c2(F(g(g(g(g(y0)))), g(g(g(y1))), z2)) F(g(g(g(y0))), g(g(g(g(g(y1))))), z2) -> c2(F(g(g(g(y0))), g(g(g(g(y1)))), z2)) F(g(g(g(0))), g(g(g(g(1)))), z2) -> c2(F(g(g(g(0))), g(g(g(1))), z2)) F(g(g(0)), g(g(g(1))), g(g(y0))) -> c2(F(g(g(0)), g(g(1)), g(g(y0)))) F(g(g(0)), g(g(g(1))), g(g(g(y0)))) -> c2(F(g(g(0)), g(g(1)), g(g(g(y0))))) F(g(g(y0)), g(g(g(g(g(g(y1)))))), g(y2)) -> c2(F(g(g(y0)), g(g(g(g(g(y1))))), g(y2))) F(g(g(y0)), g(g(g(g(g(y1))))), g(g(y2))) -> c2(F(g(g(y0)), g(g(g(g(y1)))), g(g(y2)))) F(g(g(0)), g(g(g(g(g(1))))), g(y0)) -> c2(F(g(g(0)), g(g(g(g(1)))), g(y0))) F(g(g(g(y0))), g(g(g(g(g(g(y1)))))), g(y2)) -> c2(F(g(g(g(y0))), g(g(g(g(g(y1))))), g(y2))) F(g(g(g(0))), g(g(g(g(g(1))))), g(y0)) -> c2(F(g(g(g(0))), g(g(g(g(1)))), g(y0))) F(g(g(g(y0))), g(g(g(g(g(y1))))), g(g(y2))) -> c2(F(g(g(g(y0))), g(g(g(g(y1)))), g(g(y2)))) F(g(g(g(g(g(y0))))), g(g(g(g(g(y1))))), g(y2)) -> 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c2(F(g(g(y0)), g(g(g(g(g(y1))))), g(g(y2)))) F(g(g(0)), g(g(g(g(g(g(1)))))), g(z2)) -> c2(F(g(g(0)), g(g(g(g(g(1))))), g(z2))) F(g(g(g(y0))), g(g(g(g(g(g(g(y1))))))), g(z2)) -> c2(F(g(g(g(y0))), g(g(g(g(g(g(y1)))))), g(z2))) F(g(g(g(0))), g(g(g(g(g(g(1)))))), g(z2)) -> c2(F(g(g(g(0))), g(g(g(g(g(1))))), g(z2))) F(g(g(g(y0))), g(g(g(g(g(g(y1)))))), g(g(y2))) -> c2(F(g(g(g(y0))), g(g(g(g(g(y1))))), g(g(y2)))) F(g(g(g(g(g(y0))))), g(g(g(g(g(g(y1)))))), g(z2)) -> c2(F(g(g(g(g(g(y0))))), g(g(g(g(g(y1))))), g(z2))) F(g(g(g(g(y0)))), g(g(g(g(g(g(g(y1))))))), g(z2)) -> c2(F(g(g(g(g(y0)))), g(g(g(g(g(g(y1)))))), g(z2))) F(g(g(g(g(0)))), g(g(g(g(g(g(1)))))), g(z2)) -> c2(F(g(g(g(g(0)))), g(g(g(g(g(1))))), g(z2))) F(g(g(g(g(y0)))), g(g(g(g(g(g(y1)))))), g(g(y2))) -> c2(F(g(g(g(g(y0)))), g(g(g(g(g(y1))))), g(g(y2)))) F(0, 1, g(g(y0))) -> c3(F(0, 1, g(y0))) F(0, 1, g(g(g(y2)))) -> c3(F(0, 1, g(g(y2)))) F(0, 1, g(g(g(g(y0))))) -> c3(F(0, 1, g(g(g(y0))))) F(z0, z1, g(g(g(y2)))) -> c3(F(z0, z1, g(g(y2)))) F(g(0), 1, g(g(z2))) -> c3(F(g(0), 1, g(z2))) F(g(g(y0)), z1, g(g(z2))) -> c3(F(g(g(y0)), z1, g(z2))) F(g(y0), z1, g(g(g(y2)))) -> c3(F(g(y0), z1, g(g(y2)))) F(0, g(1), g(g(z2))) -> c3(F(0, g(1), g(z2))) F(z0, g(g(y1)), g(g(z2))) -> c3(F(z0, g(g(y1)), g(z2))) F(z0, g(y1), g(g(g(y2)))) -> c3(F(z0, g(y1), g(g(y2)))) F(g(0), g(1), g(g(z2))) -> c3(F(g(0), g(1), g(z2))) F(g(g(y0)), g(y1), g(g(z2))) -> c3(F(g(g(y0)), g(y1), g(z2))) F(g(y0), g(g(y1)), g(g(z2))) -> c3(F(g(y0), g(g(y1)), g(z2))) F(g(y0), g(y1), g(g(g(y2)))) -> c3(F(g(y0), g(y1), g(g(y2)))) F(g(g(0)), 1, g(g(z2))) -> c3(F(g(g(0)), 1, g(z2))) F(g(g(g(y0))), z1, g(g(z2))) -> c3(F(g(g(g(y0))), z1, g(z2))) F(g(g(y0)), g(g(y1)), g(g(z2))) -> c3(F(g(g(y0)), g(g(y1)), g(z2))) F(g(g(0)), g(1), g(g(z2))) -> c3(F(g(g(0)), g(1), g(z2))) F(g(g(g(y0))), g(y1), g(g(z2))) -> c3(F(g(g(g(y0))), g(y1), g(z2))) F(g(g(y0)), z1, g(g(g(y2)))) -> c3(F(g(g(y0)), z1, g(g(y2)))) F(g(g(y0)), g(y1), g(g(g(y2)))) -> c3(F(g(g(y0)), g(y1), 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-> c3(F(g(g(0)), 1, g(g(g(y0))))) F(0, g(1), g(g(g(y0)))) -> c3(F(0, g(1), g(g(y0)))) F(0, g(1), g(g(g(g(y0))))) -> c3(F(0, g(1), g(g(g(y0))))) F(z0, g(g(g(y1))), g(g(z2))) -> c3(F(z0, g(g(g(y1))), g(z2))) F(g(0), g(g(1)), g(g(z2))) -> c3(F(g(0), g(g(1)), g(z2))) F(g(y0), g(g(g(y1))), g(g(z2))) -> c3(F(g(y0), g(g(g(y1))), g(z2))) F(z0, g(g(y1)), g(g(g(y2)))) -> c3(F(z0, g(g(y1)), g(g(y2)))) F(g(y0), g(g(y1)), g(g(g(y2)))) -> c3(F(g(y0), g(g(y1)), g(g(y2)))) F(0, g(g(1)), g(g(z2))) -> c3(F(0, g(g(1)), g(z2))) F(g(g(y0)), g(g(g(y1))), g(g(z2))) -> c3(F(g(g(y0)), g(g(g(y1))), g(z2))) F(g(g(0)), g(g(1)), g(g(z2))) -> c3(F(g(g(0)), g(g(1)), g(z2))) F(g(g(y0)), g(g(y1)), g(g(g(y2)))) -> c3(F(g(g(y0)), g(g(y1)), g(g(y2)))) F(g(g(g(y0))), g(g(g(y1))), g(g(z2))) -> c3(F(g(g(g(y0))), g(g(g(y1))), g(z2))) F(g(g(g(0))), g(g(1)), g(g(z2))) -> c3(F(g(g(g(0))), g(g(1)), g(z2))) F(g(g(g(y0))), g(g(y1)), g(g(g(y2)))) -> c3(F(g(g(g(y0))), g(g(y1)), g(g(y2)))) F(g(g(g(g(g(y0))))), g(g(y1)), g(g(z2))) -> 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g(g(g(y0)))) -> c3(F(g(g(0)), g(g(g(g(1)))), g(g(y0)))) F(g(g(0)), g(g(g(g(1)))), g(g(g(g(y0))))) -> c3(F(g(g(0)), g(g(g(g(1)))), g(g(g(y0))))) F(g(g(y0)), g(g(g(g(g(g(g(y1))))))), g(g(z2))) -> c3(F(g(g(y0)), g(g(g(g(g(g(g(y1))))))), g(z2))) F(g(g(y0)), g(g(g(g(g(g(y1)))))), g(g(g(y2)))) -> c3(F(g(g(y0)), g(g(g(g(g(g(y1)))))), g(g(y2)))) F(g(g(0)), g(g(g(g(g(g(1)))))), g(g(z2))) -> c3(F(g(g(0)), g(g(g(g(g(g(1)))))), g(z2))) F(g(g(g(y0))), g(g(g(g(g(g(g(y1))))))), g(g(z2))) -> c3(F(g(g(g(y0))), g(g(g(g(g(g(g(y1))))))), g(z2))) F(g(g(g(0))), g(g(g(g(g(g(1)))))), g(g(z2))) -> c3(F(g(g(g(0))), g(g(g(g(g(g(1)))))), g(z2))) F(g(g(g(y0))), g(g(g(g(g(g(y1)))))), g(g(g(y2)))) -> c3(F(g(g(g(y0))), g(g(g(g(g(g(y1)))))), g(g(y2)))) F(g(g(g(g(g(y0))))), g(g(g(g(g(g(y1)))))), g(g(z2))) -> c3(F(g(g(g(g(g(y0))))), g(g(g(g(g(g(y1)))))), g(z2))) F(g(g(g(g(y0)))), g(g(g(g(g(g(g(y1))))))), g(g(z2))) -> c3(F(g(g(g(g(y0)))), g(g(g(g(g(g(g(y1))))))), g(z2))) F(g(g(g(g(0)))), g(g(g(g(g(g(1)))))), g(g(z2))) -> 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c3(F(g(g(g(y0))), g(g(g(y1))), z2)) F(g(g(g(0))), g(g(1)), g(z2)) -> c3(F(g(g(g(0))), g(g(1)), z2)) F(g(g(z0)), g(g(g(g(y1)))), g(z2)) -> c3(F(g(g(z0)), g(g(g(g(y1)))), z2)) F(g(g(0)), g(g(g(1))), g(z2)) -> c3(F(g(g(0)), g(g(g(1))), z2)) F(g(g(g(g(y0)))), g(g(g(y1))), g(z2)) -> c3(F(g(g(g(g(y0)))), g(g(g(y1))), z2)) F(g(g(g(y0))), g(g(g(g(y1)))), g(z2)) -> c3(F(g(g(g(y0))), g(g(g(g(y1)))), z2)) F(g(g(g(0))), g(g(g(1))), g(z2)) -> c3(F(g(g(g(0))), g(g(g(1))), z2)) F(g(g(z0)), g(g(g(g(g(y1))))), g(z2)) -> c3(F(g(g(z0)), g(g(g(g(g(y1))))), z2)) F(g(g(0)), g(g(g(g(1)))), g(z2)) -> c3(F(g(g(0)), g(g(g(g(1)))), z2)) F(g(g(g(g(y0)))), g(g(g(g(y1)))), g(z2)) -> c3(F(g(g(g(g(y0)))), g(g(g(g(y1)))), z2)) F(g(g(g(y0))), g(g(g(g(g(y1))))), g(z2)) -> c3(F(g(g(g(y0))), g(g(g(g(g(y1))))), z2)) F(g(g(g(0))), g(g(g(g(1)))), g(z2)) -> c3(F(g(g(g(0))), g(g(g(g(1)))), z2)) F(g(g(z0)), z1, g(g(g(g(y2))))) -> c3(F(g(g(z0)), z1, g(g(g(y2))))) F(g(g(z0)), g(y1), g(g(g(g(y2))))) -> c3(F(g(g(z0)), g(y1), g(g(g(y2))))) F(g(g(g(0))), g(1), g(g(g(y0)))) -> c3(F(g(g(g(0))), g(1), g(g(y0)))) F(g(g(g(y0))), g(y1), g(g(g(g(y2))))) -> c3(F(g(g(g(y0))), g(y1), g(g(g(y2))))) F(g(g(g(0))), 1, g(g(g(y0)))) -> c3(F(g(g(g(0))), 1, g(g(y0)))) F(g(g(g(g(y0)))), z1, g(g(g(y2)))) -> c3(F(g(g(g(g(y0)))), z1, g(g(y2)))) F(g(g(g(y0))), z1, g(g(g(g(y2))))) -> c3(F(g(g(g(y0))), z1, g(g(g(y2))))) F(g(g(g(g(g(y0))))), g(y1), g(g(g(y2)))) -> c3(F(g(g(g(g(g(y0))))), g(y1), g(g(y2)))) F(g(g(g(g(0)))), g(1), g(g(g(y0)))) -> c3(F(g(g(g(g(0)))), g(1), g(g(y0)))) F(g(g(g(g(y0)))), g(y1), g(g(g(g(y2))))) -> c3(F(g(g(g(g(y0)))), g(y1), g(g(g(y2))))) F(g(g(0)), 1, g(g(g(g(g(y0)))))) -> c3(F(g(g(0)), 1, g(g(g(g(y0)))))) F(g(g(z0)), g(g(y1)), g(g(g(g(y2))))) -> c3(F(g(g(z0)), g(g(y1)), g(g(g(y2))))) F(g(g(g(0))), g(g(1)), g(g(g(y0)))) -> c3(F(g(g(g(0))), g(g(1)), g(g(y0)))) F(g(g(g(y0))), g(g(y1)), g(g(g(g(y2))))) -> c3(F(g(g(g(y0))), g(g(y1)), g(g(g(y2))))) F(g(g(g(g(g(y0))))), g(g(y1)), g(g(g(y2)))) -> c3(F(g(g(g(g(g(y0))))), g(g(y1)), g(g(y2)))) F(g(g(g(g(0)))), g(g(1)), g(g(g(y0)))) -> c3(F(g(g(g(g(0)))), g(g(1)), g(g(y0)))) F(g(g(g(g(y0)))), g(g(y1)), g(g(g(g(y2))))) -> c3(F(g(g(g(g(y0)))), g(g(y1)), g(g(g(y2))))) F(g(g(0)), g(1), g(g(g(g(g(y0)))))) -> c3(F(g(g(0)), g(1), g(g(g(g(y0)))))) F(g(g(z0)), g(g(g(y1))), g(g(g(g(y2))))) -> c3(F(g(g(z0)), g(g(g(y1))), g(g(g(y2))))) F(g(g(g(0))), g(g(g(1))), g(g(g(y0)))) -> c3(F(g(g(g(0))), g(g(g(1))), g(g(y0)))) F(g(g(g(y0))), g(g(g(y1))), g(g(g(g(y2))))) -> c3(F(g(g(g(y0))), g(g(g(y1))), g(g(g(y2))))) F(g(g(g(g(g(y0))))), g(g(g(y1))), g(g(g(y2)))) -> c3(F(g(g(g(g(g(y0))))), g(g(g(y1))), g(g(y2)))) F(g(g(g(g(0)))), g(g(g(1))), g(g(g(y0)))) -> c3(F(g(g(g(g(0)))), g(g(g(1))), g(g(y0)))) F(g(g(g(g(y0)))), g(g(g(y1))), g(g(g(g(y2))))) -> c3(F(g(g(g(g(y0)))), g(g(g(y1))), g(g(g(y2))))) F(g(g(0)), g(g(1)), g(g(g(g(g(y0)))))) -> c3(F(g(g(0)), g(g(1)), g(g(g(g(y0)))))) F(g(g(z0)), g(g(g(g(y1)))), g(g(g(g(y2))))) -> c3(F(g(g(z0)), g(g(g(g(y1)))), g(g(g(y2))))) F(g(g(g(0))), g(g(g(g(1)))), g(g(g(y0)))) -> c3(F(g(g(g(0))), g(g(g(g(1)))), g(g(y0)))) F(g(g(g(y0))), g(g(g(g(y1)))), g(g(g(g(y2))))) -> c3(F(g(g(g(y0))), g(g(g(g(y1)))), g(g(g(y2))))) F(g(g(g(g(g(y0))))), g(g(g(g(y1)))), g(g(g(y2)))) -> c3(F(g(g(g(g(g(y0))))), g(g(g(g(y1)))), g(g(y2)))) F(g(g(g(g(0)))), g(g(g(g(1)))), g(g(g(y0)))) -> c3(F(g(g(g(g(0)))), g(g(g(g(1)))), g(g(y0)))) F(g(g(g(g(y0)))), g(g(g(g(y1)))), g(g(g(g(y2))))) -> c3(F(g(g(g(g(y0)))), g(g(g(g(y1)))), g(g(g(y2))))) F(g(g(0)), g(g(g(1))), g(g(g(g(g(y0)))))) -> c3(F(g(g(0)), g(g(g(1))), g(g(g(g(y0)))))) F(g(g(z0)), g(g(g(g(g(y1))))), g(g(g(g(y2))))) -> c3(F(g(g(z0)), g(g(g(g(g(y1))))), g(g(g(y2))))) F(g(g(0)), g(g(g(g(g(1))))), g(g(g(y0)))) -> c3(F(g(g(0)), g(g(g(g(g(1))))), g(g(y0)))) F(g(g(g(0))), g(g(g(g(g(1))))), g(g(g(y0)))) -> c3(F(g(g(g(0))), g(g(g(g(g(1))))), g(g(y0)))) F(g(g(g(y0))), g(g(g(g(g(y1))))), g(g(g(g(y2))))) -> c3(F(g(g(g(y0))), g(g(g(g(g(y1))))), g(g(g(y2))))) F(g(g(g(g(g(y0))))), g(g(g(g(g(y1))))), g(g(g(y2)))) -> c3(F(g(g(g(g(g(y0))))), g(g(g(g(g(y1))))), g(g(y2)))) F(g(g(g(g(0)))), g(g(g(g(g(1))))), g(g(g(y0)))) -> c3(F(g(g(g(g(0)))), g(g(g(g(g(1))))), g(g(y0)))) F(g(g(g(g(y0)))), g(g(g(g(g(y1))))), g(g(g(g(y2))))) -> c3(F(g(g(g(g(y0)))), g(g(g(g(g(y1))))), g(g(g(y2))))) F(g(g(0)), g(g(g(g(1)))), g(g(g(g(g(y0)))))) -> c3(F(g(g(0)), g(g(g(g(1)))), g(g(g(g(y0)))))) F(g(g(z0)), g(g(g(g(g(g(g(y1))))))), g(g(g(y2)))) -> c3(F(g(g(z0)), g(g(g(g(g(g(g(y1))))))), g(g(y2)))) F(g(g(z0)), g(g(g(g(g(g(y1)))))), g(g(g(g(y2))))) -> c3(F(g(g(z0)), g(g(g(g(g(g(y1)))))), g(g(g(y2))))) F(g(g(0)), g(g(g(g(g(g(1)))))), g(g(g(y0)))) -> c3(F(g(g(0)), g(g(g(g(g(g(1)))))), g(g(y0)))) F(g(g(g(y0))), g(g(g(g(g(g(g(y1))))))), g(g(g(y2)))) -> c3(F(g(g(g(y0))), g(g(g(g(g(g(g(y1))))))), g(g(y2)))) F(g(g(g(0))), g(g(g(g(g(g(1)))))), g(g(g(y0)))) -> c3(F(g(g(g(0))), g(g(g(g(g(g(1)))))), g(g(y0)))) F(g(g(g(y0))), g(g(g(g(g(g(y1)))))), g(g(g(g(y2))))) -> c3(F(g(g(g(y0))), g(g(g(g(g(g(y1)))))), g(g(g(y2))))) F(g(g(g(g(g(y0))))), g(g(g(g(g(g(y1)))))), g(g(g(y2)))) -> c3(F(g(g(g(g(g(y0))))), g(g(g(g(g(g(y1)))))), g(g(y2)))) F(g(g(g(g(y0)))), g(g(g(g(g(g(g(y1))))))), g(g(g(y2)))) -> c3(F(g(g(g(g(y0)))), g(g(g(g(g(g(g(y1))))))), g(g(y2)))) F(g(g(g(g(0)))), g(g(g(g(g(g(1)))))), g(g(g(y0)))) -> c3(F(g(g(g(g(0)))), g(g(g(g(g(g(1)))))), g(g(y0)))) F(g(g(g(g(y0)))), g(g(g(g(g(g(y1)))))), g(g(g(g(y2))))) -> c3(F(g(g(g(g(y0)))), g(g(g(g(g(g(y1)))))), g(g(g(y2))))) S tuples: F(g(g(0)), 1, z2) -> c1(F(g(0), 1, z2)) F(g(g(g(y0))), z1, z2) -> c1(F(g(g(y0)), z1, z2)) F(g(g(z0)), g(y1), z2) -> c1(F(g(z0), g(y1), z2)) F(g(g(z0)), z1, g(y2)) -> c1(F(g(z0), z1, g(y2))) F(g(g(z0)), g(g(y1)), z2) -> c1(F(g(z0), g(g(y1)), z2)) F(g(g(z0)), g(y1), g(y2)) -> c1(F(g(z0), g(y1), g(y2))) F(g(g(0)), g(1), z2) -> c1(F(g(0), g(1), z2)) F(g(g(g(y0))), g(y1), z2) -> c1(F(g(g(y0)), g(y1), z2)) F(g(g(z0)), z1, g(g(y2))) -> c1(F(g(z0), z1, g(g(y2)))) F(g(g(0)), 1, g(y0)) -> c1(F(g(0), 1, g(y0))) F(g(g(g(y0))), z1, g(y2)) -> c1(F(g(g(y0)), z1, g(y2))) F(g(g(z0)), g(g(y1)), g(y2)) -> c1(F(g(z0), g(g(y1)), g(y2))) F(g(g(z0)), g(y1), g(g(y2))) -> c1(F(g(z0), g(y1), g(g(y2)))) F(g(g(0)), g(1), g(y0)) -> c1(F(g(0), g(1), g(y0))) F(g(g(g(y0))), g(y1), g(y2)) -> c1(F(g(g(y0)), g(y1), g(y2))) F(g(0), g(1), z2) -> c1(F(0, g(1), z2)) F(g(z0), g(g(y1)), z2) -> c1(F(z0, g(g(y1)), z2)) F(g(z0), g(z1), g(y2)) -> c1(F(z0, g(z1), g(y2))) F(g(z0), g(z1), g(g(y2))) -> c1(F(z0, g(z1), g(g(y2)))) F(g(0), g(1), g(y0)) -> c1(F(0, g(1), g(y0))) F(g(z0), g(g(y1)), g(y2)) -> c1(F(z0, g(g(y1)), g(y2))) F(g(g(g(g(y0)))), g(z1), z2) -> c1(F(g(g(g(y0))), g(z1), z2)) F(g(g(g(y0))), g(g(y1)), z2) -> c1(F(g(g(y0)), g(g(y1)), z2)) F(g(g(g(0))), g(1), z2) -> c1(F(g(g(0)), g(1), z2)) F(g(g(g(y0))), g(z1), g(g(y2))) -> c1(F(g(g(y0)), g(z1), g(g(y2)))) F(g(g(g(g(y0)))), g(z1), g(y2)) -> c1(F(g(g(g(y0))), g(z1), g(y2))) F(g(g(g(y0))), g(g(y1)), g(y2)) -> c1(F(g(g(y0)), g(g(y1)), g(y2))) F(g(g(g(0))), g(1), g(y0)) -> c1(F(g(g(0)), g(1), g(y0))) F(0, 1, g(y2)) -> c(F(g(g(y2)), g(g(y2)), g(y2))) F(0, 1, g(g(y2))) -> c(F(g(g(g(y2))), g(g(g(y2))), g(g(y2)))) F(0, 1, g(g(g(y0)))) -> c(F(g(g(g(g(y0)))), g(g(g(g(y0)))), g(g(g(y0))))) F(g(0), 1, g(y0)) -> c1(F(0, 1, g(y0))) F(g(0), 1, g(g(y2))) -> c1(F(0, 1, g(g(y2)))) F(g(0), 1, g(g(g(y0)))) -> c1(F(0, 1, g(g(g(y0))))) F(g(z0), z1, g(g(y2))) -> c1(F(z0, z1, g(g(y2)))) F(g(g(g(0))), 1, g(z2)) -> c1(F(g(g(0)), 1, g(z2))) F(g(g(g(g(y0)))), z1, g(z2)) -> c1(F(g(g(g(y0))), z1, g(z2))) F(g(g(g(y0))), z1, g(g(y2))) -> c1(F(g(g(y0)), z1, g(g(y2)))) F(g(g(g(g(g(y0))))), g(y1), g(z2)) -> c1(F(g(g(g(g(y0)))), g(y1), g(z2))) F(g(g(g(g(y0)))), g(g(y1)), g(z2)) -> c1(F(g(g(g(y0))), g(g(y1)), g(z2))) F(g(g(g(g(0)))), g(1), g(z2)) -> c1(F(g(g(g(0))), g(1), g(z2))) F(g(g(g(g(y0)))), g(y1), g(g(y2))) -> c1(F(g(g(g(y0))), g(y1), g(g(y2)))) F(g(g(0)), 1, g(g(y0))) -> c1(F(g(0), 1, g(g(y0)))) F(g(g(0)), 1, g(g(g(y0)))) -> c1(F(g(0), 1, g(g(g(y0))))) F(0, g(1), g(y0)) -> c2(F(0, 1, g(y0))) F(0, g(1), g(g(y2))) -> c2(F(0, 1, g(g(y2)))) F(0, g(1), g(g(g(y0)))) -> c2(F(0, 1, g(g(g(y0))))) F(z0, g(g(g(y1))), z2) -> c2(F(z0, g(g(y1)), z2)) F(z0, g(g(z1)), g(y2)) -> c2(F(z0, g(z1), g(y2))) F(g(0), g(g(1)), z2) -> c2(F(g(0), g(1), z2)) F(g(g(y0)), g(g(z1)), z2) -> c2(F(g(g(y0)), g(z1), z2)) F(g(y0), g(g(g(y1))), z2) -> c2(F(g(y0), g(g(y1)), z2)) F(g(y0), g(g(z1)), g(y2)) -> c2(F(g(y0), g(z1), g(y2))) F(z0, g(g(z1)), g(g(y2))) -> c2(F(z0, g(z1), g(g(y2)))) F(g(g(y0)), g(g(z1)), g(y2)) -> c2(F(g(g(y0)), g(z1), g(y2))) F(g(y0), g(g(z1)), g(g(y2))) -> c2(F(g(y0), g(z1), g(g(y2)))) F(0, g(g(1)), g(y0)) -> c2(F(0, g(1), g(y0))) F(z0, g(g(g(y1))), g(y2)) -> c2(F(z0, g(g(y1)), g(y2))) F(g(0), g(g(1)), g(y0)) -> c2(F(g(0), g(1), g(y0))) F(g(y0), g(g(g(y1))), g(y2)) -> c2(F(g(y0), g(g(y1)), g(y2))) F(g(g(g(y0))), g(g(z1)), z2) -> c2(F(g(g(g(y0))), g(z1), z2)) F(g(g(y0)), g(g(g(y1))), z2) -> c2(F(g(g(y0)), g(g(y1)), z2)) F(g(g(0)), g(g(1)), z2) -> c2(F(g(g(0)), g(1), z2)) F(g(g(y0)), g(g(z1)), g(g(y2))) -> c2(F(g(g(y0)), g(z1), g(g(y2)))) F(g(g(g(y0))), g(g(z1)), g(y2)) -> c2(F(g(g(g(y0))), g(z1), g(y2))) F(g(g(y0)), g(g(g(y1))), g(y2)) -> c2(F(g(g(y0)), g(g(y1)), g(y2))) F(g(g(0)), g(g(1)), g(y0)) -> c2(F(g(g(0)), g(1), g(y0))) F(g(g(g(g(y0)))), g(g(z1)), z2) -> c2(F(g(g(g(g(y0)))), g(z1), z2)) F(g(g(g(y0))), g(g(g(y1))), z2) -> c2(F(g(g(g(y0))), g(g(y1)), z2)) F(g(g(g(0))), g(g(1)), z2) -> c2(F(g(g(g(0))), g(1), z2)) F(g(g(g(y0))), g(g(z1)), g(g(y2))) -> c2(F(g(g(g(y0))), g(z1), g(g(y2)))) F(g(g(g(g(y0)))), g(g(z1)), g(y2)) -> c2(F(g(g(g(g(y0)))), g(z1), g(y2))) F(g(g(g(y0))), g(g(g(y1))), g(y2)) -> c2(F(g(g(g(y0))), g(g(y1)), g(y2))) F(g(g(g(0))), g(g(1)), g(y0)) -> c2(F(g(g(g(0))), g(1), g(y0))) F(g(g(g(g(g(y0))))), g(g(z1)), g(y2)) -> c2(F(g(g(g(g(g(y0))))), g(z1), g(y2))) F(g(g(g(g(y0)))), g(g(g(y1))), g(y2)) -> c2(F(g(g(g(g(y0)))), g(g(y1)), g(y2))) F(g(g(g(g(0)))), g(g(1)), g(y0)) -> c2(F(g(g(g(g(0)))), g(1), g(y0))) F(g(g(g(g(y0)))), g(g(z1)), g(g(y2))) -> c2(F(g(g(g(g(y0)))), g(z1), g(g(y2)))) F(0, g(g(1)), g(g(y0))) -> c2(F(0, g(1), g(g(y0)))) F(0, g(g(1)), g(g(g(y0)))) -> c2(F(0, g(1), g(g(g(y0))))) F(z0, g(z1), g(g(y2))) -> c2(F(z0, z1, g(g(y2)))) F(g(0), g(1), g(z2)) -> c2(F(g(0), 1, g(z2))) F(g(g(y0)), g(z1), g(z2)) -> c2(F(g(g(y0)), z1, g(z2))) F(g(y0), g(z1), g(g(y2))) -> c2(F(g(y0), z1, g(g(y2)))) F(g(g(0)), g(1), g(z2)) -> c2(F(g(g(0)), 1, g(z2))) F(g(g(g(y0))), g(z1), g(z2)) -> c2(F(g(g(g(y0))), z1, g(z2))) F(g(g(y0)), g(z1), g(g(y2))) -> c2(F(g(g(y0)), z1, g(g(y2)))) F(g(0), g(1), g(g(y0))) -> c2(F(g(0), 1, g(g(y0)))) F(g(0), g(1), g(g(g(y0)))) -> c2(F(g(0), 1, g(g(g(y0))))) F(g(g(g(0))), g(1), g(z2)) -> c2(F(g(g(g(0))), 1, g(z2))) F(g(g(g(g(y0)))), g(z1), g(z2)) -> c2(F(g(g(g(g(y0)))), z1, g(z2))) F(g(g(g(y0))), g(z1), g(g(y2))) -> c2(F(g(g(g(y0))), z1, g(g(y2)))) F(g(g(0)), g(1), g(g(y0))) -> c2(F(g(g(0)), 1, g(g(y0)))) F(g(g(0)), g(1), g(g(g(y0)))) -> c2(F(g(g(0)), 1, g(g(g(y0))))) F(z0, g(g(g(g(y1)))), g(z2)) -> c2(F(z0, g(g(g(y1))), g(z2))) F(g(0), g(g(g(1))), g(z2)) -> c2(F(g(0), g(g(1)), g(z2))) F(g(y0), g(g(g(g(y1)))), g(z2)) -> c2(F(g(y0), g(g(g(y1))), g(z2))) F(z0, g(g(g(y1))), g(g(y2))) -> c2(F(z0, g(g(y1)), g(g(y2)))) F(g(y0), g(g(g(y1))), g(g(y2))) -> c2(F(g(y0), g(g(y1)), g(g(y2)))) F(0, g(g(g(1))), g(z2)) -> c2(F(0, g(g(1)), g(z2))) F(g(g(y0)), g(g(g(g(y1)))), g(z2)) -> c2(F(g(g(y0)), g(g(g(y1))), g(z2))) F(g(g(0)), g(g(g(1))), g(z2)) -> c2(F(g(g(0)), g(g(1)), g(z2))) F(g(g(y0)), g(g(g(y1))), g(g(y2))) -> c2(F(g(g(y0)), g(g(y1)), g(g(y2)))) F(g(g(g(y0))), g(g(g(g(y1)))), g(z2)) -> c2(F(g(g(g(y0))), g(g(g(y1))), g(z2))) F(g(g(g(0))), g(g(g(1))), g(z2)) -> c2(F(g(g(g(0))), g(g(1)), g(z2))) F(g(g(g(y0))), g(g(g(y1))), g(g(y2))) -> c2(F(g(g(g(y0))), g(g(y1)), g(g(y2)))) F(g(g(g(g(g(y0))))), g(g(g(y1))), g(z2)) -> c2(F(g(g(g(g(g(y0))))), g(g(y1)), g(z2))) F(g(g(g(g(y0)))), g(g(g(g(y1)))), g(z2)) -> c2(F(g(g(g(g(y0)))), g(g(g(y1))), g(z2))) F(g(g(g(g(0)))), g(g(g(1))), g(z2)) -> c2(F(g(g(g(g(0)))), g(g(1)), g(z2))) F(g(g(g(g(y0)))), g(g(g(y1))), g(g(y2))) -> c2(F(g(g(g(g(y0)))), g(g(y1)), g(g(y2)))) F(0, g(g(g(1))), g(g(y0))) -> c2(F(0, g(g(1)), g(g(y0)))) F(0, g(g(g(1))), g(g(g(y0)))) -> c2(F(0, g(g(1)), g(g(g(y0))))) F(g(g(0)), g(1), z2) -> c2(F(g(g(0)), 1, z2)) F(g(g(g(y0))), g(z1), z2) -> c2(F(g(g(g(y0))), z1, z2)) F(g(g(z0)), g(g(g(g(y1)))), z2) -> c2(F(g(g(z0)), g(g(g(y1))), z2)) F(g(g(0)), g(g(g(1))), z2) -> c2(F(g(g(0)), g(g(1)), z2)) F(g(g(g(g(y0)))), g(g(g(y1))), z2) -> c2(F(g(g(g(g(y0)))), g(g(y1)), z2)) F(g(g(g(y0))), g(g(g(g(y1)))), z2) -> c2(F(g(g(g(y0))), g(g(g(y1))), z2)) F(g(g(g(0))), g(g(g(1))), z2) -> c2(F(g(g(g(0))), g(g(1)), z2)) F(g(g(0)), g(g(1)), g(g(y0))) -> c2(F(g(g(0)), g(1), g(g(y0)))) F(g(g(0)), g(g(1)), g(g(g(y0)))) -> c2(F(g(g(0)), g(1), g(g(g(y0))))) F(g(g(z0)), g(g(g(g(g(y1))))), g(y2)) -> c2(F(g(g(z0)), g(g(g(g(y1)))), g(y2))) F(g(g(z0)), g(g(g(g(y1)))), g(g(y2))) -> c2(F(g(g(z0)), g(g(g(y1))), g(g(y2)))) F(g(g(0)), g(g(g(g(1)))), g(y0)) -> c2(F(g(g(0)), g(g(g(1))), g(y0))) F(g(g(g(y0))), g(g(g(g(g(y1))))), g(y2)) -> c2(F(g(g(g(y0))), g(g(g(g(y1)))), g(y2))) F(g(g(g(0))), g(g(g(g(1)))), g(y0)) -> c2(F(g(g(g(0))), g(g(g(1))), g(y0))) F(g(g(g(y0))), g(g(g(g(y1)))), g(g(y2))) -> c2(F(g(g(g(y0))), g(g(g(y1))), g(g(y2)))) F(g(g(g(g(g(y0))))), g(g(g(g(y1)))), g(y2)) -> c2(F(g(g(g(g(g(y0))))), g(g(g(y1))), g(y2))) F(g(g(g(g(y0)))), g(g(g(g(g(y1))))), g(y2)) -> c2(F(g(g(g(g(y0)))), g(g(g(g(y1)))), g(y2))) F(g(g(g(g(0)))), g(g(g(g(1)))), g(y0)) -> c2(F(g(g(g(g(0)))), g(g(g(1))), g(y0))) F(g(g(g(g(y0)))), g(g(g(g(y1)))), g(g(y2))) -> c2(F(g(g(g(g(y0)))), g(g(g(y1))), g(g(y2)))) F(g(z0), g(g(g(g(y1)))), z2) -> c2(F(g(z0), g(g(g(y1))), z2)) F(g(0), g(g(g(1))), z2) -> c2(F(g(0), g(g(1)), z2)) F(g(0), g(g(1)), g(g(y0))) -> c2(F(g(0), g(1), g(g(y0)))) F(g(0), g(g(1)), g(g(g(y0)))) -> c2(F(g(0), g(1), g(g(g(y0))))) F(g(z0), g(g(g(g(g(y1))))), g(y2)) -> c2(F(g(z0), g(g(g(g(y1)))), g(y2))) F(g(0), g(g(g(g(1)))), g(y0)) -> c2(F(g(0), g(g(g(1))), g(y0))) F(g(z0), g(g(g(g(y1)))), g(g(y2))) -> c2(F(g(z0), g(g(g(y1))), g(g(y2)))) F(g(g(y0)), g(g(g(g(g(y1))))), z2) -> c2(F(g(g(y0)), g(g(g(g(y1)))), z2)) F(g(g(0)), g(g(g(g(1)))), z2) -> c2(F(g(g(0)), g(g(g(1))), z2)) F(g(g(g(g(y0)))), g(g(g(g(y1)))), z2) -> c2(F(g(g(g(g(y0)))), g(g(g(y1))), z2)) F(g(g(g(y0))), g(g(g(g(g(y1))))), z2) -> c2(F(g(g(g(y0))), g(g(g(g(y1)))), z2)) F(g(g(g(0))), g(g(g(g(1)))), z2) -> c2(F(g(g(g(0))), g(g(g(1))), z2)) F(g(g(0)), g(g(g(1))), g(g(y0))) -> c2(F(g(g(0)), g(g(1)), g(g(y0)))) F(g(g(0)), g(g(g(1))), g(g(g(y0)))) -> c2(F(g(g(0)), g(g(1)), g(g(g(y0))))) F(g(g(y0)), g(g(g(g(g(g(y1)))))), g(y2)) -> c2(F(g(g(y0)), g(g(g(g(g(y1))))), g(y2))) F(g(g(y0)), g(g(g(g(g(y1))))), g(g(y2))) -> c2(F(g(g(y0)), g(g(g(g(y1)))), g(g(y2)))) F(g(g(0)), g(g(g(g(g(1))))), g(y0)) -> c2(F(g(g(0)), g(g(g(g(1)))), g(y0))) F(g(g(g(y0))), g(g(g(g(g(g(y1)))))), g(y2)) -> c2(F(g(g(g(y0))), g(g(g(g(g(y1))))), g(y2))) F(g(g(g(0))), g(g(g(g(g(1))))), g(y0)) -> c2(F(g(g(g(0))), g(g(g(g(1)))), g(y0))) F(g(g(g(y0))), g(g(g(g(g(y1))))), g(g(y2))) -> c2(F(g(g(g(y0))), g(g(g(g(y1)))), g(g(y2)))) F(g(g(g(g(g(y0))))), g(g(g(g(g(y1))))), g(y2)) -> c2(F(g(g(g(g(g(y0))))), g(g(g(g(y1)))), g(y2))) F(g(g(g(g(y0)))), g(g(g(g(g(g(y1)))))), g(y2)) -> c2(F(g(g(g(g(y0)))), g(g(g(g(g(y1))))), g(y2))) F(g(g(g(g(0)))), g(g(g(g(g(1))))), g(y0)) -> c2(F(g(g(g(g(0)))), g(g(g(g(1)))), g(y0))) F(g(g(g(g(y0)))), g(g(g(g(g(y1))))), g(g(y2))) -> c2(F(g(g(g(g(y0)))), g(g(g(g(y1)))), g(g(y2)))) F(g(0), g(g(g(1))), g(g(y0))) -> c2(F(g(0), g(g(1)), g(g(y0)))) F(g(0), g(g(g(1))), g(g(g(y0)))) -> c2(F(g(0), g(g(1)), g(g(g(y0))))) F(g(z0), g(g(g(g(g(g(y1)))))), g(z2)) -> c2(F(g(z0), g(g(g(g(g(y1))))), g(z2))) F(g(0), g(g(g(g(g(1))))), g(z2)) -> c2(F(g(0), g(g(g(g(1)))), g(z2))) F(g(z0), g(g(g(g(g(y1))))), g(g(y2))) -> c2(F(g(z0), g(g(g(g(y1)))), g(g(y2)))) F(g(g(0)), g(g(g(g(1)))), g(g(y0))) -> c2(F(g(g(0)), g(g(g(1))), g(g(y0)))) F(g(g(0)), g(g(g(g(1)))), g(g(g(y0)))) -> c2(F(g(g(0)), g(g(g(1))), g(g(g(y0))))) F(g(g(y0)), g(g(g(g(g(g(g(y1))))))), g(z2)) -> c2(F(g(g(y0)), g(g(g(g(g(g(y1)))))), g(z2))) F(g(g(y0)), g(g(g(g(g(g(y1)))))), g(g(y2))) -> c2(F(g(g(y0)), g(g(g(g(g(y1))))), g(g(y2)))) F(g(g(0)), g(g(g(g(g(g(1)))))), g(z2)) -> c2(F(g(g(0)), g(g(g(g(g(1))))), g(z2))) F(g(g(g(y0))), g(g(g(g(g(g(g(y1))))))), g(z2)) -> c2(F(g(g(g(y0))), g(g(g(g(g(g(y1)))))), g(z2))) F(g(g(g(0))), g(g(g(g(g(g(1)))))), g(z2)) -> c2(F(g(g(g(0))), g(g(g(g(g(1))))), g(z2))) F(g(g(g(y0))), g(g(g(g(g(g(y1)))))), g(g(y2))) -> c2(F(g(g(g(y0))), g(g(g(g(g(y1))))), g(g(y2)))) F(g(g(g(g(g(y0))))), g(g(g(g(g(g(y1)))))), g(z2)) -> c2(F(g(g(g(g(g(y0))))), g(g(g(g(g(y1))))), g(z2))) F(g(g(g(g(y0)))), g(g(g(g(g(g(g(y1))))))), g(z2)) -> c2(F(g(g(g(g(y0)))), g(g(g(g(g(g(y1)))))), g(z2))) F(g(g(g(g(0)))), g(g(g(g(g(g(1)))))), g(z2)) -> c2(F(g(g(g(g(0)))), g(g(g(g(g(1))))), g(z2))) F(g(g(g(g(y0)))), g(g(g(g(g(g(y1)))))), g(g(y2))) -> c2(F(g(g(g(g(y0)))), g(g(g(g(g(y1))))), g(g(y2)))) K tuples: F(g(y0), g(y1), g(z2)) -> c3(F(g(y0), g(y1), z2)) F(g(y0), z1, g(g(y2))) -> c3(F(g(y0), z1, g(y2))) F(0, g(1), g(z2)) -> c3(F(0, g(1), z2)) F(z0, g(g(y1)), g(z2)) -> c3(F(z0, g(g(y1)), z2)) F(z0, g(y1), g(g(y2))) -> c3(F(z0, g(y1), g(y2))) F(g(0), g(1), g(z2)) -> c3(F(g(0), g(1), z2)) F(g(g(y0)), g(y1), g(z2)) -> c3(F(g(g(y0)), g(y1), z2)) F(g(y0), g(g(y1)), g(z2)) -> c3(F(g(y0), g(g(y1)), z2)) F(g(y0), g(y1), g(g(y2))) -> c3(F(g(y0), g(y1), g(y2))) F(0, 1, g(g(y0))) -> c3(F(0, 1, g(y0))) F(0, 1, g(g(g(y2)))) -> c3(F(0, 1, g(g(y2)))) F(0, 1, g(g(g(g(y0))))) -> c3(F(0, 1, g(g(g(y0))))) F(z0, z1, g(g(g(y2)))) -> c3(F(z0, z1, g(g(y2)))) F(g(0), 1, g(g(z2))) -> c3(F(g(0), 1, g(z2))) F(g(g(y0)), z1, g(g(z2))) -> c3(F(g(g(y0)), z1, g(z2))) F(g(y0), z1, g(g(g(y2)))) -> c3(F(g(y0), z1, g(g(y2)))) F(0, g(1), g(g(z2))) -> c3(F(0, g(1), g(z2))) F(z0, g(g(y1)), g(g(z2))) -> c3(F(z0, g(g(y1)), g(z2))) F(z0, g(y1), g(g(g(y2)))) -> c3(F(z0, g(y1), g(g(y2)))) F(g(0), g(1), g(g(z2))) -> c3(F(g(0), g(1), g(z2))) F(g(g(y0)), g(y1), g(g(z2))) -> c3(F(g(g(y0)), g(y1), g(z2))) F(g(y0), g(g(y1)), g(g(z2))) -> c3(F(g(y0), g(g(y1)), g(z2))) F(g(y0), g(y1), g(g(g(y2)))) -> c3(F(g(y0), g(y1), g(g(y2)))) F(g(g(0)), 1, g(g(z2))) -> c3(F(g(g(0)), 1, g(z2))) F(g(g(g(y0))), z1, g(g(z2))) -> c3(F(g(g(g(y0))), z1, g(z2))) F(g(g(y0)), g(g(y1)), g(g(z2))) -> c3(F(g(g(y0)), g(g(y1)), g(z2))) F(g(g(0)), g(1), g(g(z2))) -> c3(F(g(g(0)), g(1), g(z2))) F(g(g(g(y0))), g(y1), g(g(z2))) -> c3(F(g(g(g(y0))), g(y1), g(z2))) F(g(g(y0)), z1, g(g(g(y2)))) -> c3(F(g(g(y0)), z1, g(g(y2)))) F(g(g(y0)), g(y1), g(g(g(y2)))) -> c3(F(g(g(y0)), g(y1), g(g(y2)))) F(g(g(g(g(y0)))), g(y1), g(g(z2))) -> c3(F(g(g(g(g(y0)))), g(y1), g(z2))) F(g(g(g(y0))), g(g(y1)), g(g(z2))) -> c3(F(g(g(g(y0))), g(g(y1)), g(z2))) F(g(g(g(0))), g(1), g(g(z2))) -> c3(F(g(g(g(0))), g(1), g(z2))) F(g(g(g(y0))), g(y1), g(g(g(y2)))) -> c3(F(g(g(g(y0))), g(y1), g(g(y2)))) F(g(0), 1, g(g(g(y0)))) -> c3(F(g(0), 1, g(g(y0)))) F(g(0), 1, g(g(g(g(y0))))) -> c3(F(g(0), 1, g(g(g(y0))))) F(g(g(g(0))), 1, g(g(z2))) -> c3(F(g(g(g(0))), 1, g(z2))) F(g(g(g(g(y0)))), z1, g(g(z2))) -> c3(F(g(g(g(g(y0)))), z1, g(z2))) F(g(g(g(y0))), z1, g(g(g(y2)))) -> c3(F(g(g(g(y0))), z1, g(g(y2)))) F(g(g(g(g(g(y0))))), g(y1), g(g(z2))) -> c3(F(g(g(g(g(g(y0))))), g(y1), g(z2))) F(g(g(g(g(y0)))), g(g(y1)), g(g(z2))) -> c3(F(g(g(g(g(y0)))), g(g(y1)), g(z2))) F(g(g(g(g(0)))), g(1), g(g(z2))) -> c3(F(g(g(g(g(0)))), g(1), g(z2))) F(g(g(g(g(y0)))), g(y1), g(g(g(y2)))) -> c3(F(g(g(g(g(y0)))), g(y1), g(g(y2)))) F(g(g(0)), 1, g(g(g(y0)))) -> c3(F(g(g(0)), 1, g(g(y0)))) F(g(g(0)), 1, g(g(g(g(y0))))) -> c3(F(g(g(0)), 1, g(g(g(y0))))) F(0, g(1), g(g(g(y0)))) -> c3(F(0, g(1), g(g(y0)))) F(0, g(1), g(g(g(g(y0))))) -> c3(F(0, g(1), g(g(g(y0))))) F(z0, g(g(g(y1))), g(g(z2))) -> c3(F(z0, g(g(g(y1))), g(z2))) F(g(0), g(g(1)), g(g(z2))) -> c3(F(g(0), g(g(1)), g(z2))) F(g(y0), g(g(g(y1))), g(g(z2))) -> c3(F(g(y0), g(g(g(y1))), g(z2))) F(z0, g(g(y1)), 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g(g(g(g(y1)))), g(g(y2)))) F(g(g(0)), g(g(g(g(1)))), g(g(z2))) -> c3(F(g(g(0)), g(g(g(g(1)))), g(z2))) F(g(g(g(y0))), g(g(g(g(g(y1))))), g(g(z2))) -> c3(F(g(g(g(y0))), g(g(g(g(g(y1))))), g(z2))) F(g(g(g(0))), g(g(g(g(1)))), g(g(z2))) -> c3(F(g(g(g(0))), g(g(g(g(1)))), g(z2))) F(g(g(g(y0))), g(g(g(g(y1)))), g(g(g(y2)))) -> c3(F(g(g(g(y0))), g(g(g(g(y1)))), g(g(y2)))) F(g(g(g(g(g(y0))))), g(g(g(g(y1)))), g(g(z2))) -> c3(F(g(g(g(g(g(y0))))), g(g(g(g(y1)))), g(z2))) F(g(g(g(g(y0)))), g(g(g(g(g(y1))))), g(g(z2))) -> c3(F(g(g(g(g(y0)))), g(g(g(g(g(y1))))), g(z2))) F(g(g(g(g(0)))), g(g(g(g(1)))), g(g(z2))) -> c3(F(g(g(g(g(0)))), g(g(g(g(1)))), g(z2))) F(g(g(g(g(y0)))), g(g(g(g(y1)))), g(g(g(y2)))) -> c3(F(g(g(g(g(y0)))), g(g(g(g(y1)))), g(g(y2)))) F(g(0), g(g(1)), g(g(g(y0)))) -> c3(F(g(0), g(g(1)), g(g(y0)))) F(g(0), g(g(1)), g(g(g(g(y0))))) -> c3(F(g(0), g(g(1)), g(g(g(y0))))) F(g(y0), g(g(g(g(g(y1))))), g(g(z2))) -> c3(F(g(y0), g(g(g(g(g(y1))))), g(z2))) F(g(0), g(g(g(g(1)))), g(g(z2))) -> c3(F(g(0), g(g(g(g(1)))), g(z2))) F(g(y0), g(g(g(g(y1)))), g(g(g(y2)))) -> c3(F(g(y0), g(g(g(g(y1)))), g(g(y2)))) F(g(g(0)), g(g(g(1))), g(g(g(y0)))) -> c3(F(g(g(0)), g(g(g(1))), g(g(y0)))) F(g(g(0)), g(g(g(1))), g(g(g(g(y0))))) -> c3(F(g(g(0)), g(g(g(1))), g(g(g(y0))))) F(g(g(y0)), g(g(g(g(g(g(y1)))))), g(g(z2))) -> c3(F(g(g(y0)), g(g(g(g(g(g(y1)))))), g(z2))) F(g(g(y0)), g(g(g(g(g(y1))))), g(g(g(y2)))) -> c3(F(g(g(y0)), g(g(g(g(g(y1))))), g(g(y2)))) F(g(g(0)), g(g(g(g(g(1))))), g(g(z2))) -> c3(F(g(g(0)), g(g(g(g(g(1))))), g(z2))) F(g(g(g(y0))), g(g(g(g(g(g(y1)))))), g(g(z2))) -> c3(F(g(g(g(y0))), g(g(g(g(g(g(y1)))))), g(z2))) F(g(g(g(0))), g(g(g(g(g(1))))), g(g(z2))) -> c3(F(g(g(g(0))), g(g(g(g(g(1))))), g(z2))) F(g(g(g(y0))), g(g(g(g(g(y1))))), g(g(g(y2)))) -> c3(F(g(g(g(y0))), g(g(g(g(g(y1))))), g(g(y2)))) F(g(g(g(g(g(y0))))), g(g(g(g(g(y1))))), g(g(z2))) -> c3(F(g(g(g(g(g(y0))))), g(g(g(g(g(y1))))), g(z2))) F(g(g(g(g(y0)))), g(g(g(g(g(g(y1)))))), g(g(z2))) -> c3(F(g(g(g(g(y0)))), g(g(g(g(g(g(y1)))))), g(z2))) F(g(g(g(g(0)))), g(g(g(g(g(1))))), g(g(z2))) -> c3(F(g(g(g(g(0)))), g(g(g(g(g(1))))), g(z2))) F(g(g(g(g(y0)))), g(g(g(g(g(y1))))), g(g(g(y2)))) -> c3(F(g(g(g(g(y0)))), g(g(g(g(g(y1))))), g(g(y2)))) F(g(0), g(g(g(1))), g(g(g(y0)))) -> c3(F(g(0), g(g(g(1))), g(g(y0)))) F(g(0), g(g(g(1))), g(g(g(g(y0))))) -> c3(F(g(0), g(g(g(1))), g(g(g(y0))))) F(g(y0), g(g(g(g(g(g(y1)))))), g(g(z2))) -> c3(F(g(y0), g(g(g(g(g(g(y1)))))), g(z2))) F(g(0), g(g(g(g(g(1))))), g(g(z2))) -> c3(F(g(0), g(g(g(g(g(1))))), g(z2))) F(g(y0), g(g(g(g(g(y1))))), g(g(g(y2)))) -> c3(F(g(y0), g(g(g(g(g(y1))))), g(g(y2)))) F(g(g(0)), g(g(g(g(1)))), g(g(g(y0)))) -> c3(F(g(g(0)), g(g(g(g(1)))), g(g(y0)))) F(g(g(0)), g(g(g(g(1)))), g(g(g(g(y0))))) -> c3(F(g(g(0)), g(g(g(g(1)))), g(g(g(y0))))) F(g(g(y0)), g(g(g(g(g(g(g(y1))))))), g(g(z2))) -> c3(F(g(g(y0)), g(g(g(g(g(g(g(y1))))))), g(z2))) F(g(g(y0)), g(g(g(g(g(g(y1)))))), g(g(g(y2)))) -> c3(F(g(g(y0)), g(g(g(g(g(g(y1)))))), g(g(y2)))) F(g(g(0)), g(g(g(g(g(g(1)))))), g(g(z2))) -> c3(F(g(g(0)), g(g(g(g(g(g(1)))))), g(z2))) F(g(g(g(y0))), g(g(g(g(g(g(g(y1))))))), g(g(z2))) -> c3(F(g(g(g(y0))), g(g(g(g(g(g(g(y1))))))), g(z2))) F(g(g(g(0))), g(g(g(g(g(g(1)))))), g(g(z2))) -> c3(F(g(g(g(0))), g(g(g(g(g(g(1)))))), g(z2))) F(g(g(g(y0))), g(g(g(g(g(g(y1)))))), g(g(g(y2)))) -> c3(F(g(g(g(y0))), g(g(g(g(g(g(y1)))))), g(g(y2)))) F(g(g(g(g(g(y0))))), g(g(g(g(g(g(y1)))))), g(g(z2))) -> c3(F(g(g(g(g(g(y0))))), g(g(g(g(g(g(y1)))))), g(z2))) F(g(g(g(g(y0)))), g(g(g(g(g(g(g(y1))))))), g(g(z2))) -> c3(F(g(g(g(g(y0)))), g(g(g(g(g(g(g(y1))))))), g(z2))) F(g(g(g(g(0)))), g(g(g(g(g(g(1)))))), g(g(z2))) -> c3(F(g(g(g(g(0)))), g(g(g(g(g(g(1)))))), g(z2))) F(g(g(g(g(y0)))), g(g(g(g(g(g(y1)))))), g(g(g(y2)))) -> c3(F(g(g(g(g(y0)))), g(g(g(g(g(g(y1)))))), g(g(y2)))) F(0, 1, g(g(g(g(g(y0)))))) -> c3(F(0, 1, g(g(g(g(y0)))))) F(g(0), 1, g(g(g(g(g(y0)))))) -> c3(F(g(0), 1, g(g(g(g(y0)))))) F(g(g(0)), 1, g(z2)) -> c3(F(g(g(0)), 1, z2)) F(g(g(g(y0))), z1, g(z2)) -> c3(F(g(g(g(y0))), z1, z2)) F(g(g(z0)), g(g(y1)), g(z2)) -> c3(F(g(g(z0)), g(g(y1)), z2)) F(g(g(0)), g(1), g(z2)) -> c3(F(g(g(0)), g(1), z2)) F(g(g(g(y0))), g(y1), g(z2)) -> c3(F(g(g(g(y0))), g(y1), z2)) F(g(g(g(g(y0)))), g(y1), g(z2)) -> c3(F(g(g(g(g(y0)))), g(y1), z2)) F(g(g(g(y0))), g(g(y1)), g(z2)) -> c3(F(g(g(g(y0))), g(g(y1)), z2)) F(g(g(g(0))), g(1), g(z2)) -> c3(F(g(g(g(0))), g(1), z2)) F(g(g(z0)), g(g(g(y1))), g(z2)) -> c3(F(g(g(z0)), g(g(g(y1))), z2)) F(g(g(0)), g(g(1)), g(z2)) -> c3(F(g(g(0)), g(g(1)), z2)) F(g(g(g(g(y0)))), g(g(y1)), g(z2)) -> c3(F(g(g(g(g(y0)))), g(g(y1)), z2)) F(g(g(g(y0))), g(g(g(y1))), g(z2)) -> c3(F(g(g(g(y0))), g(g(g(y1))), z2)) F(g(g(g(0))), g(g(1)), g(z2)) -> c3(F(g(g(g(0))), g(g(1)), z2)) F(g(g(z0)), g(g(g(g(y1)))), g(z2)) -> c3(F(g(g(z0)), g(g(g(g(y1)))), z2)) F(g(g(0)), g(g(g(1))), g(z2)) -> c3(F(g(g(0)), g(g(g(1))), z2)) F(g(g(g(g(y0)))), g(g(g(y1))), g(z2)) -> c3(F(g(g(g(g(y0)))), g(g(g(y1))), z2)) F(g(g(g(y0))), g(g(g(g(y1)))), g(z2)) -> c3(F(g(g(g(y0))), g(g(g(g(y1)))), z2)) F(g(g(g(0))), g(g(g(1))), g(z2)) -> c3(F(g(g(g(0))), g(g(g(1))), z2)) F(g(g(z0)), g(g(g(g(g(y1))))), g(z2)) -> c3(F(g(g(z0)), g(g(g(g(g(y1))))), z2)) F(g(g(0)), g(g(g(g(1)))), g(z2)) -> c3(F(g(g(0)), g(g(g(g(1)))), z2)) F(g(g(g(g(y0)))), g(g(g(g(y1)))), g(z2)) -> c3(F(g(g(g(g(y0)))), g(g(g(g(y1)))), z2)) F(g(g(g(y0))), g(g(g(g(g(y1))))), g(z2)) -> c3(F(g(g(g(y0))), g(g(g(g(g(y1))))), z2)) F(g(g(g(0))), g(g(g(g(1)))), g(z2)) -> c3(F(g(g(g(0))), g(g(g(g(1)))), z2)) F(g(g(z0)), z1, g(g(g(g(y2))))) -> c3(F(g(g(z0)), z1, g(g(g(y2))))) F(g(g(z0)), g(y1), g(g(g(g(y2))))) -> c3(F(g(g(z0)), g(y1), g(g(g(y2))))) F(g(g(g(0))), g(1), g(g(g(y0)))) -> c3(F(g(g(g(0))), g(1), g(g(y0)))) F(g(g(g(y0))), g(y1), g(g(g(g(y2))))) -> c3(F(g(g(g(y0))), g(y1), g(g(g(y2))))) F(g(g(g(0))), 1, g(g(g(y0)))) -> c3(F(g(g(g(0))), 1, g(g(y0)))) F(g(g(g(g(y0)))), z1, g(g(g(y2)))) -> c3(F(g(g(g(g(y0)))), z1, g(g(y2)))) F(g(g(g(y0))), z1, g(g(g(g(y2))))) -> c3(F(g(g(g(y0))), z1, g(g(g(y2))))) F(g(g(g(g(g(y0))))), g(y1), g(g(g(y2)))) -> c3(F(g(g(g(g(g(y0))))), g(y1), g(g(y2)))) F(g(g(g(g(0)))), g(1), g(g(g(y0)))) -> c3(F(g(g(g(g(0)))), g(1), g(g(y0)))) F(g(g(g(g(y0)))), g(y1), g(g(g(g(y2))))) -> c3(F(g(g(g(g(y0)))), g(y1), g(g(g(y2))))) F(g(g(0)), 1, g(g(g(g(g(y0)))))) -> c3(F(g(g(0)), 1, g(g(g(g(y0)))))) F(g(g(z0)), g(g(y1)), g(g(g(g(y2))))) -> c3(F(g(g(z0)), g(g(y1)), g(g(g(y2))))) F(g(g(g(0))), g(g(1)), g(g(g(y0)))) -> c3(F(g(g(g(0))), g(g(1)), g(g(y0)))) F(g(g(g(y0))), g(g(y1)), g(g(g(g(y2))))) -> c3(F(g(g(g(y0))), g(g(y1)), g(g(g(y2))))) F(g(g(g(g(g(y0))))), g(g(y1)), g(g(g(y2)))) -> c3(F(g(g(g(g(g(y0))))), g(g(y1)), g(g(y2)))) F(g(g(g(g(0)))), g(g(1)), g(g(g(y0)))) -> c3(F(g(g(g(g(0)))), g(g(1)), g(g(y0)))) F(g(g(g(g(y0)))), g(g(y1)), g(g(g(g(y2))))) -> c3(F(g(g(g(g(y0)))), g(g(y1)), g(g(g(y2))))) F(g(g(0)), g(1), g(g(g(g(g(y0)))))) -> c3(F(g(g(0)), g(1), g(g(g(g(y0)))))) F(g(g(z0)), g(g(g(y1))), g(g(g(g(y2))))) -> c3(F(g(g(z0)), g(g(g(y1))), g(g(g(y2))))) F(g(g(g(0))), g(g(g(1))), g(g(g(y0)))) -> c3(F(g(g(g(0))), g(g(g(1))), g(g(y0)))) F(g(g(g(y0))), g(g(g(y1))), g(g(g(g(y2))))) -> c3(F(g(g(g(y0))), g(g(g(y1))), g(g(g(y2))))) F(g(g(g(g(g(y0))))), g(g(g(y1))), g(g(g(y2)))) -> c3(F(g(g(g(g(g(y0))))), g(g(g(y1))), g(g(y2)))) F(g(g(g(g(0)))), g(g(g(1))), g(g(g(y0)))) -> c3(F(g(g(g(g(0)))), g(g(g(1))), g(g(y0)))) F(g(g(g(g(y0)))), g(g(g(y1))), g(g(g(g(y2))))) -> c3(F(g(g(g(g(y0)))), g(g(g(y1))), g(g(g(y2))))) F(g(g(0)), g(g(1)), g(g(g(g(g(y0)))))) -> c3(F(g(g(0)), g(g(1)), g(g(g(g(y0)))))) F(g(g(z0)), g(g(g(g(y1)))), g(g(g(g(y2))))) -> c3(F(g(g(z0)), g(g(g(g(y1)))), g(g(g(y2))))) F(g(g(g(0))), g(g(g(g(1)))), g(g(g(y0)))) -> c3(F(g(g(g(0))), g(g(g(g(1)))), g(g(y0)))) F(g(g(g(y0))), g(g(g(g(y1)))), g(g(g(g(y2))))) -> c3(F(g(g(g(y0))), g(g(g(g(y1)))), g(g(g(y2))))) F(g(g(g(g(g(y0))))), g(g(g(g(y1)))), g(g(g(y2)))) -> c3(F(g(g(g(g(g(y0))))), g(g(g(g(y1)))), g(g(y2)))) F(g(g(g(g(0)))), g(g(g(g(1)))), g(g(g(y0)))) -> c3(F(g(g(g(g(0)))), g(g(g(g(1)))), g(g(y0)))) F(g(g(g(g(y0)))), g(g(g(g(y1)))), g(g(g(g(y2))))) -> c3(F(g(g(g(g(y0)))), g(g(g(g(y1)))), g(g(g(y2))))) F(g(g(0)), g(g(g(1))), g(g(g(g(g(y0)))))) -> c3(F(g(g(0)), g(g(g(1))), g(g(g(g(y0)))))) F(g(g(z0)), g(g(g(g(g(y1))))), g(g(g(g(y2))))) -> c3(F(g(g(z0)), g(g(g(g(g(y1))))), g(g(g(y2))))) F(g(g(0)), g(g(g(g(g(1))))), g(g(g(y0)))) -> c3(F(g(g(0)), g(g(g(g(g(1))))), g(g(y0)))) F(g(g(g(0))), g(g(g(g(g(1))))), g(g(g(y0)))) -> c3(F(g(g(g(0))), g(g(g(g(g(1))))), g(g(y0)))) F(g(g(g(y0))), g(g(g(g(g(y1))))), g(g(g(g(y2))))) -> c3(F(g(g(g(y0))), g(g(g(g(g(y1))))), g(g(g(y2))))) F(g(g(g(g(g(y0))))), g(g(g(g(g(y1))))), g(g(g(y2)))) -> c3(F(g(g(g(g(g(y0))))), g(g(g(g(g(y1))))), g(g(y2)))) F(g(g(g(g(0)))), g(g(g(g(g(1))))), g(g(g(y0)))) -> c3(F(g(g(g(g(0)))), g(g(g(g(g(1))))), g(g(y0)))) F(g(g(g(g(y0)))), g(g(g(g(g(y1))))), g(g(g(g(y2))))) -> c3(F(g(g(g(g(y0)))), g(g(g(g(g(y1))))), g(g(g(y2))))) F(g(g(0)), g(g(g(g(1)))), g(g(g(g(g(y0)))))) -> c3(F(g(g(0)), g(g(g(g(1)))), g(g(g(g(y0)))))) F(g(g(z0)), g(g(g(g(g(g(g(y1))))))), g(g(g(y2)))) -> c3(F(g(g(z0)), g(g(g(g(g(g(g(y1))))))), g(g(y2)))) F(g(g(z0)), g(g(g(g(g(g(y1)))))), g(g(g(g(y2))))) -> c3(F(g(g(z0)), g(g(g(g(g(g(y1)))))), g(g(g(y2))))) F(g(g(0)), g(g(g(g(g(g(1)))))), g(g(g(y0)))) -> c3(F(g(g(0)), g(g(g(g(g(g(1)))))), g(g(y0)))) F(g(g(g(y0))), g(g(g(g(g(g(g(y1))))))), g(g(g(y2)))) -> c3(F(g(g(g(y0))), g(g(g(g(g(g(g(y1))))))), g(g(y2)))) F(g(g(g(0))), g(g(g(g(g(g(1)))))), g(g(g(y0)))) -> c3(F(g(g(g(0))), g(g(g(g(g(g(1)))))), g(g(y0)))) F(g(g(g(y0))), g(g(g(g(g(g(y1)))))), g(g(g(g(y2))))) -> c3(F(g(g(g(y0))), g(g(g(g(g(g(y1)))))), g(g(g(y2))))) F(g(g(g(g(g(y0))))), g(g(g(g(g(g(y1)))))), g(g(g(y2)))) -> c3(F(g(g(g(g(g(y0))))), g(g(g(g(g(g(y1)))))), g(g(y2)))) F(g(g(g(g(y0)))), g(g(g(g(g(g(g(y1))))))), g(g(g(y2)))) -> c3(F(g(g(g(g(y0)))), g(g(g(g(g(g(g(y1))))))), g(g(y2)))) F(g(g(g(g(0)))), g(g(g(g(g(g(1)))))), g(g(g(y0)))) -> c3(F(g(g(g(g(0)))), g(g(g(g(g(g(1)))))), g(g(y0)))) F(g(g(g(g(y0)))), g(g(g(g(g(g(y1)))))), g(g(g(g(y2))))) -> c3(F(g(g(g(g(y0)))), g(g(g(g(g(g(y1)))))), g(g(g(y2))))) Defined Rule Symbols:none Defined Pair Symbols: F_3 Compound Symbols: c3_1, c1_1, c_1, c2_1 ---------------------------------------- (73) CdtForwardInstantiationProof (BOTH BOUNDS(ID, ID)) Use forward instantiation to replace F(g(y0), g(y1), g(z2)) -> c3(F(g(y0), g(y1), z2)) by F(g(z0), g(z1), g(g(y2))) -> c3(F(g(z0), g(z1), g(y2))) F(g(z0), g(z1), g(g(g(y2)))) -> c3(F(g(z0), g(z1), g(g(y2)))) F(g(z0), g(g(y1)), g(g(y2))) -> c3(F(g(z0), g(g(y1)), g(y2))) F(g(0), g(1), g(g(y0))) -> c3(F(g(0), g(1), g(y0))) F(g(g(y0)), g(z1), g(g(y2))) -> c3(F(g(g(y0)), g(z1), g(y2))) F(g(g(g(y0))), g(z1), g(z2)) -> c3(F(g(g(g(y0))), g(z1), z2)) F(g(g(y0)), g(z1), g(z2)) -> c3(F(g(g(y0)), g(z1), z2)) F(g(g(y0)), g(g(y1)), g(z2)) -> c3(F(g(g(y0)), g(g(y1)), z2)) F(g(g(0)), g(1), g(z2)) -> c3(F(g(g(0)), g(1), z2)) F(g(g(y0)), g(z1), g(g(g(y2)))) -> c3(F(g(g(y0)), g(z1), g(g(y2)))) F(g(g(g(y0))), g(z1), g(g(y2))) -> c3(F(g(g(g(y0))), g(z1), g(y2))) F(g(g(y0)), g(g(y1)), g(g(y2))) -> c3(F(g(g(y0)), g(g(y1)), g(y2))) F(g(g(0)), g(1), g(g(y0))) -> c3(F(g(g(0)), g(1), g(y0))) F(g(0), g(1), g(z2)) -> c3(F(g(0), g(1), z2)) F(g(z0), g(g(y1)), g(z2)) -> c3(F(g(z0), g(g(y1)), z2)) F(g(g(g(g(y0)))), g(z1), g(z2)) -> c3(F(g(g(g(g(y0)))), g(z1), z2)) F(g(g(g(y0))), g(g(y1)), g(z2)) -> c3(F(g(g(g(y0))), g(g(y1)), z2)) F(g(g(g(0))), g(1), g(z2)) -> c3(F(g(g(g(0))), g(1), z2)) F(g(g(g(y0))), g(z1), g(g(g(y2)))) -> c3(F(g(g(g(y0))), g(z1), g(g(y2)))) F(g(g(g(g(y0)))), g(z1), g(g(y2))) -> c3(F(g(g(g(g(y0)))), g(z1), g(y2))) F(g(g(g(y0))), g(g(y1)), g(g(y2))) -> c3(F(g(g(g(y0))), g(g(y1)), g(y2))) F(g(g(g(0))), g(1), g(g(y0))) -> c3(F(g(g(g(0))), g(1), g(y0))) F(g(g(g(g(g(y0))))), g(z1), g(g(y2))) -> c3(F(g(g(g(g(g(y0))))), g(z1), g(y2))) F(g(g(g(g(y0)))), g(g(y1)), g(g(y2))) -> c3(F(g(g(g(g(y0)))), g(g(y1)), g(y2))) F(g(g(g(g(0)))), g(1), g(g(y0))) -> c3(F(g(g(g(g(0)))), g(1), g(y0))) F(g(g(g(g(y0)))), g(z1), g(g(g(y2)))) -> c3(F(g(g(g(g(y0)))), g(z1), g(g(y2)))) F(g(z0), g(g(g(y1))), g(z2)) -> c3(F(g(z0), g(g(g(y1))), z2)) F(g(0), g(g(1)), g(z2)) -> c3(F(g(0), g(g(1)), z2)) F(g(z0), g(g(y1)), g(g(g(y2)))) -> c3(F(g(z0), g(g(y1)), g(g(y2)))) F(g(z0), g(g(g(y1))), g(g(y2))) -> c3(F(g(z0), g(g(g(y1))), g(y2))) F(g(0), g(g(1)), g(g(y0))) -> c3(F(g(0), g(g(1)), g(y0))) F(g(g(y0)), g(g(g(y1))), g(z2)) -> c3(F(g(g(y0)), g(g(g(y1))), z2)) F(g(g(0)), g(g(1)), g(z2)) -> c3(F(g(g(0)), g(g(1)), z2)) F(g(g(y0)), g(g(y1)), g(g(g(y2)))) -> c3(F(g(g(y0)), g(g(y1)), g(g(y2)))) F(g(g(y0)), g(g(g(y1))), g(g(y2))) -> c3(F(g(g(y0)), g(g(g(y1))), g(y2))) F(g(g(0)), g(g(1)), g(g(y0))) -> c3(F(g(g(0)), g(g(1)), g(y0))) F(g(g(g(g(y0)))), g(g(y1)), g(z2)) -> c3(F(g(g(g(g(y0)))), g(g(y1)), z2)) F(g(g(g(y0))), g(g(g(y1))), g(z2)) -> c3(F(g(g(g(y0))), g(g(g(y1))), z2)) F(g(g(g(0))), g(g(1)), g(z2)) -> c3(F(g(g(g(0))), g(g(1)), z2)) F(g(g(g(y0))), g(g(y1)), g(g(g(y2)))) -> c3(F(g(g(g(y0))), g(g(y1)), g(g(y2)))) F(g(g(g(y0))), g(g(g(y1))), g(g(y2))) -> c3(F(g(g(g(y0))), g(g(g(y1))), g(y2))) F(g(g(g(0))), g(g(1)), g(g(y0))) -> c3(F(g(g(g(0))), g(g(1)), g(y0))) F(g(g(g(g(g(y0))))), g(g(y1)), g(g(y2))) -> c3(F(g(g(g(g(g(y0))))), g(g(y1)), g(y2))) F(g(g(g(g(y0)))), g(g(g(y1))), g(g(y2))) -> c3(F(g(g(g(g(y0)))), g(g(g(y1))), g(y2))) F(g(g(g(g(0)))), g(g(1)), g(g(y0))) -> c3(F(g(g(g(g(0)))), g(g(1)), g(y0))) F(g(g(g(g(y0)))), g(g(y1)), g(g(g(y2)))) -> c3(F(g(g(g(g(y0)))), g(g(y1)), g(g(y2)))) F(g(0), g(1), g(g(g(y0)))) -> c3(F(g(0), g(1), g(g(y0)))) F(g(0), g(1), g(g(g(g(y0))))) -> c3(F(g(0), g(1), g(g(g(y0))))) F(g(g(0)), g(1), g(g(g(y0)))) -> c3(F(g(g(0)), g(1), g(g(y0)))) F(g(g(0)), g(1), g(g(g(g(y0))))) -> c3(F(g(g(0)), g(1), g(g(g(y0))))) F(g(z0), g(g(g(g(y1)))), g(g(y2))) -> c3(F(g(z0), g(g(g(g(y1)))), g(y2))) F(g(0), g(g(g(1))), g(g(y0))) -> c3(F(g(0), g(g(g(1))), g(y0))) F(g(z0), g(g(g(y1))), g(g(g(y2)))) -> c3(F(g(z0), g(g(g(y1))), g(g(y2)))) F(g(g(y0)), g(g(g(g(y1)))), g(g(y2))) -> c3(F(g(g(y0)), g(g(g(g(y1)))), g(y2))) F(g(g(0)), g(g(g(1))), g(g(y0))) -> c3(F(g(g(0)), g(g(g(1))), g(y0))) F(g(g(y0)), g(g(g(y1))), g(g(g(y2)))) -> c3(F(g(g(y0)), g(g(g(y1))), g(g(y2)))) F(g(g(g(y0))), g(g(g(g(y1)))), g(g(y2))) -> c3(F(g(g(g(y0))), g(g(g(g(y1)))), g(y2))) F(g(g(g(0))), g(g(g(1))), g(g(y0))) -> c3(F(g(g(g(0))), g(g(g(1))), g(y0))) F(g(g(g(y0))), g(g(g(y1))), g(g(g(y2)))) -> c3(F(g(g(g(y0))), g(g(g(y1))), g(g(y2)))) F(g(g(g(g(g(y0))))), g(g(g(y1))), g(g(y2))) -> c3(F(g(g(g(g(g(y0))))), g(g(g(y1))), g(y2))) F(g(g(g(g(y0)))), g(g(g(g(y1)))), g(g(y2))) -> c3(F(g(g(g(g(y0)))), g(g(g(g(y1)))), g(y2))) F(g(g(g(g(0)))), g(g(g(1))), g(g(y0))) -> c3(F(g(g(g(g(0)))), g(g(g(1))), g(y0))) F(g(g(g(g(y0)))), g(g(g(y1))), g(g(g(y2)))) -> c3(F(g(g(g(g(y0)))), g(g(g(y1))), g(g(y2)))) F(g(g(y0)), g(g(g(g(y1)))), g(z2)) -> c3(F(g(g(y0)), g(g(g(g(y1)))), z2)) F(g(g(0)), g(g(g(1))), g(z2)) -> c3(F(g(g(0)), g(g(g(1))), z2)) F(g(g(g(g(y0)))), g(g(g(y1))), g(z2)) -> c3(F(g(g(g(g(y0)))), g(g(g(y1))), z2)) F(g(g(g(y0))), g(g(g(g(y1)))), g(z2)) -> c3(F(g(g(g(y0))), g(g(g(g(y1)))), z2)) F(g(g(g(0))), g(g(g(1))), g(z2)) -> c3(F(g(g(g(0))), g(g(g(1))), z2)) F(g(g(0)), g(g(1)), g(g(g(y0)))) -> c3(F(g(g(0)), g(g(1)), g(g(y0)))) F(g(g(0)), g(g(1)), g(g(g(g(y0))))) -> c3(F(g(g(0)), g(g(1)), g(g(g(y0))))) F(g(g(y0)), g(g(g(g(g(y1))))), g(g(y2))) -> c3(F(g(g(y0)), g(g(g(g(g(y1))))), g(y2))) F(g(g(y0)), g(g(g(g(y1)))), g(g(g(y2)))) -> c3(F(g(g(y0)), g(g(g(g(y1)))), g(g(y2)))) F(g(g(0)), g(g(g(g(1)))), g(g(y0))) -> c3(F(g(g(0)), g(g(g(g(1)))), g(y0))) F(g(g(g(y0))), g(g(g(g(g(y1))))), g(g(y2))) -> c3(F(g(g(g(y0))), g(g(g(g(g(y1))))), g(y2))) F(g(g(g(0))), g(g(g(g(1)))), g(g(y0))) -> c3(F(g(g(g(0))), g(g(g(g(1)))), g(y0))) F(g(g(g(y0))), g(g(g(g(y1)))), g(g(g(y2)))) -> c3(F(g(g(g(y0))), g(g(g(g(y1)))), g(g(y2)))) F(g(g(g(g(g(y0))))), g(g(g(g(y1)))), g(g(y2))) -> c3(F(g(g(g(g(g(y0))))), g(g(g(g(y1)))), g(y2))) F(g(g(g(g(y0)))), g(g(g(g(g(y1))))), g(g(y2))) -> c3(F(g(g(g(g(y0)))), g(g(g(g(g(y1))))), g(y2))) F(g(g(g(g(0)))), g(g(g(g(1)))), g(g(y0))) -> c3(F(g(g(g(g(0)))), g(g(g(g(1)))), g(y0))) F(g(g(g(g(y0)))), g(g(g(g(y1)))), g(g(g(y2)))) -> c3(F(g(g(g(g(y0)))), g(g(g(g(y1)))), g(g(y2)))) F(g(z0), g(g(g(g(y1)))), g(z2)) -> c3(F(g(z0), g(g(g(g(y1)))), z2)) F(g(0), g(g(g(1))), g(z2)) -> c3(F(g(0), g(g(g(1))), z2)) F(g(0), g(g(1)), g(g(g(y0)))) -> c3(F(g(0), g(g(1)), g(g(y0)))) F(g(0), g(g(1)), g(g(g(g(y0))))) -> c3(F(g(0), g(g(1)), g(g(g(y0))))) F(g(z0), g(g(g(g(g(y1))))), g(g(y2))) -> c3(F(g(z0), g(g(g(g(g(y1))))), g(y2))) F(g(0), g(g(g(g(1)))), g(g(y0))) -> c3(F(g(0), g(g(g(g(1)))), g(y0))) F(g(z0), g(g(g(g(y1)))), g(g(g(y2)))) -> c3(F(g(z0), g(g(g(g(y1)))), g(g(y2)))) F(g(g(y0)), g(g(g(g(g(y1))))), g(z2)) -> c3(F(g(g(y0)), g(g(g(g(g(y1))))), z2)) F(g(g(0)), g(g(g(g(1)))), g(z2)) -> c3(F(g(g(0)), g(g(g(g(1)))), z2)) F(g(g(g(g(y0)))), g(g(g(g(y1)))), g(z2)) -> c3(F(g(g(g(g(y0)))), g(g(g(g(y1)))), z2)) F(g(g(g(y0))), g(g(g(g(g(y1))))), g(z2)) -> c3(F(g(g(g(y0))), g(g(g(g(g(y1))))), z2)) F(g(g(g(0))), g(g(g(g(1)))), g(z2)) -> c3(F(g(g(g(0))), g(g(g(g(1)))), z2)) F(g(g(0)), g(g(g(1))), g(g(g(y0)))) -> c3(F(g(g(0)), g(g(g(1))), g(g(y0)))) F(g(g(0)), g(g(g(1))), g(g(g(g(y0))))) -> c3(F(g(g(0)), g(g(g(1))), g(g(g(y0))))) F(g(g(y0)), g(g(g(g(g(g(y1)))))), g(g(y2))) -> c3(F(g(g(y0)), g(g(g(g(g(g(y1)))))), g(y2))) F(g(g(y0)), g(g(g(g(g(y1))))), g(g(g(y2)))) -> c3(F(g(g(y0)), g(g(g(g(g(y1))))), g(g(y2)))) F(g(g(0)), g(g(g(g(g(1))))), g(g(y0))) -> c3(F(g(g(0)), g(g(g(g(g(1))))), g(y0))) F(g(g(g(y0))), g(g(g(g(g(g(y1)))))), g(g(y2))) -> c3(F(g(g(g(y0))), g(g(g(g(g(g(y1)))))), g(y2))) F(g(g(g(0))), g(g(g(g(g(1))))), g(g(y0))) -> c3(F(g(g(g(0))), g(g(g(g(g(1))))), g(y0))) F(g(g(g(y0))), g(g(g(g(g(y1))))), g(g(g(y2)))) -> c3(F(g(g(g(y0))), g(g(g(g(g(y1))))), g(g(y2)))) F(g(g(g(g(g(y0))))), g(g(g(g(g(y1))))), g(g(y2))) -> c3(F(g(g(g(g(g(y0))))), g(g(g(g(g(y1))))), g(y2))) F(g(g(g(g(y0)))), g(g(g(g(g(g(y1)))))), g(g(y2))) -> c3(F(g(g(g(g(y0)))), g(g(g(g(g(g(y1)))))), g(y2))) F(g(g(g(g(0)))), g(g(g(g(g(1))))), g(g(y0))) -> c3(F(g(g(g(g(0)))), g(g(g(g(g(1))))), g(y0))) F(g(g(g(g(y0)))), g(g(g(g(g(y1))))), g(g(g(y2)))) -> c3(F(g(g(g(g(y0)))), g(g(g(g(g(y1))))), g(g(y2)))) F(g(0), g(g(g(1))), g(g(g(y0)))) -> c3(F(g(0), g(g(g(1))), g(g(y0)))) F(g(0), g(g(g(1))), g(g(g(g(y0))))) -> c3(F(g(0), g(g(g(1))), g(g(g(y0))))) F(g(z0), g(g(g(g(g(g(y1)))))), g(g(y2))) -> c3(F(g(z0), g(g(g(g(g(g(y1)))))), g(y2))) F(g(0), g(g(g(g(g(1))))), g(g(y0))) -> c3(F(g(0), g(g(g(g(g(1))))), g(y0))) F(g(z0), g(g(g(g(g(y1))))), g(g(g(y2)))) -> c3(F(g(z0), g(g(g(g(g(y1))))), g(g(y2)))) F(g(g(0)), g(g(g(g(1)))), g(g(g(y0)))) -> c3(F(g(g(0)), g(g(g(g(1)))), g(g(y0)))) F(g(g(0)), g(g(g(g(1)))), g(g(g(g(y0))))) -> c3(F(g(g(0)), g(g(g(g(1)))), g(g(g(y0))))) F(g(g(y0)), g(g(g(g(g(g(g(y1))))))), g(g(y2))) -> c3(F(g(g(y0)), g(g(g(g(g(g(g(y1))))))), g(y2))) F(g(g(y0)), g(g(g(g(g(g(y1)))))), g(g(g(y2)))) -> c3(F(g(g(y0)), g(g(g(g(g(g(y1)))))), g(g(y2)))) F(g(g(0)), g(g(g(g(g(g(1)))))), g(g(y0))) -> c3(F(g(g(0)), g(g(g(g(g(g(1)))))), g(y0))) F(g(g(g(y0))), g(g(g(g(g(g(g(y1))))))), g(g(y2))) -> c3(F(g(g(g(y0))), g(g(g(g(g(g(g(y1))))))), g(y2))) F(g(g(g(0))), g(g(g(g(g(g(1)))))), g(g(y0))) -> c3(F(g(g(g(0))), g(g(g(g(g(g(1)))))), g(y0))) F(g(g(g(y0))), g(g(g(g(g(g(y1)))))), g(g(g(y2)))) -> c3(F(g(g(g(y0))), g(g(g(g(g(g(y1)))))), g(g(y2)))) F(g(g(g(g(g(y0))))), g(g(g(g(g(g(y1)))))), g(g(y2))) -> c3(F(g(g(g(g(g(y0))))), g(g(g(g(g(g(y1)))))), g(y2))) F(g(g(g(g(y0)))), g(g(g(g(g(g(g(y1))))))), g(g(y2))) -> c3(F(g(g(g(g(y0)))), g(g(g(g(g(g(g(y1))))))), g(y2))) F(g(g(g(g(0)))), g(g(g(g(g(g(1)))))), g(g(y0))) -> c3(F(g(g(g(g(0)))), g(g(g(g(g(g(1)))))), g(y0))) F(g(g(g(g(y0)))), g(g(g(g(g(g(y1)))))), g(g(g(y2)))) -> c3(F(g(g(g(g(y0)))), g(g(g(g(g(g(y1)))))), g(g(y2)))) F(g(z0), g(z1), g(g(g(g(y2))))) -> c3(F(g(z0), g(z1), g(g(g(y2))))) F(g(g(y0)), g(z1), g(g(g(g(y2))))) -> c3(F(g(g(y0)), g(z1), g(g(g(y2))))) F(g(g(g(0))), g(1), g(g(g(y0)))) -> c3(F(g(g(g(0))), g(1), g(g(y0)))) F(g(g(g(y0))), g(z1), g(g(g(g(y2))))) -> c3(F(g(g(g(y0))), g(z1), g(g(g(y2))))) F(g(g(g(g(g(y0))))), g(z1), g(g(g(y2)))) -> c3(F(g(g(g(g(g(y0))))), g(z1), g(g(y2)))) F(g(g(g(g(0)))), g(1), g(g(g(y0)))) -> c3(F(g(g(g(g(0)))), g(1), g(g(y0)))) F(g(g(g(g(y0)))), g(z1), g(g(g(g(y2))))) -> c3(F(g(g(g(g(y0)))), g(z1), g(g(g(y2))))) F(g(z0), g(g(y1)), g(g(g(g(y2))))) -> c3(F(g(z0), g(g(y1)), g(g(g(y2))))) F(g(g(y0)), g(g(y1)), g(g(g(g(y2))))) -> c3(F(g(g(y0)), g(g(y1)), g(g(g(y2))))) F(g(g(g(0))), g(g(1)), g(g(g(y0)))) -> c3(F(g(g(g(0))), g(g(1)), g(g(y0)))) F(g(g(g(y0))), g(g(y1)), g(g(g(g(y2))))) -> c3(F(g(g(g(y0))), g(g(y1)), g(g(g(y2))))) F(g(g(g(g(g(y0))))), g(g(y1)), g(g(g(y2)))) -> c3(F(g(g(g(g(g(y0))))), g(g(y1)), g(g(y2)))) F(g(g(g(g(0)))), g(g(1)), g(g(g(y0)))) -> c3(F(g(g(g(g(0)))), g(g(1)), g(g(y0)))) F(g(g(g(g(y0)))), g(g(y1)), g(g(g(g(y2))))) -> c3(F(g(g(g(g(y0)))), g(g(y1)), g(g(g(y2))))) F(g(0), g(1), g(g(g(g(g(y0)))))) -> c3(F(g(0), g(1), g(g(g(g(y0)))))) F(g(g(0)), g(1), g(g(g(g(g(y0)))))) -> c3(F(g(g(0)), g(1), g(g(g(g(y0)))))) F(g(z0), g(g(g(y1))), g(g(g(g(y2))))) -> c3(F(g(z0), g(g(g(y1))), g(g(g(y2))))) F(g(g(y0)), g(g(g(y1))), g(g(g(g(y2))))) -> c3(F(g(g(y0)), g(g(g(y1))), g(g(g(y2))))) F(g(g(g(0))), g(g(g(1))), g(g(g(y0)))) -> c3(F(g(g(g(0))), g(g(g(1))), g(g(y0)))) F(g(g(g(y0))), g(g(g(y1))), g(g(g(g(y2))))) -> c3(F(g(g(g(y0))), g(g(g(y1))), g(g(g(y2))))) F(g(g(g(g(g(y0))))), g(g(g(y1))), g(g(g(y2)))) -> c3(F(g(g(g(g(g(y0))))), g(g(g(y1))), g(g(y2)))) F(g(g(g(g(0)))), g(g(g(1))), g(g(g(y0)))) -> c3(F(g(g(g(g(0)))), g(g(g(1))), g(g(y0)))) F(g(g(g(g(y0)))), g(g(g(y1))), g(g(g(g(y2))))) -> c3(F(g(g(g(g(y0)))), g(g(g(y1))), g(g(g(y2))))) F(g(g(0)), g(g(1)), g(g(g(g(g(y0)))))) -> c3(F(g(g(0)), g(g(1)), g(g(g(g(y0)))))) F(g(g(y0)), g(g(g(g(y1)))), g(g(g(g(y2))))) -> c3(F(g(g(y0)), g(g(g(g(y1)))), g(g(g(y2))))) F(g(g(g(0))), g(g(g(g(1)))), g(g(g(y0)))) -> c3(F(g(g(g(0))), g(g(g(g(1)))), g(g(y0)))) F(g(g(g(y0))), g(g(g(g(y1)))), g(g(g(g(y2))))) -> c3(F(g(g(g(y0))), g(g(g(g(y1)))), g(g(g(y2))))) F(g(g(g(g(g(y0))))), g(g(g(g(y1)))), g(g(g(y2)))) -> c3(F(g(g(g(g(g(y0))))), g(g(g(g(y1)))), g(g(y2)))) F(g(g(g(g(0)))), g(g(g(g(1)))), g(g(g(y0)))) -> c3(F(g(g(g(g(0)))), g(g(g(g(1)))), g(g(y0)))) F(g(g(g(g(y0)))), g(g(g(g(y1)))), g(g(g(g(y2))))) -> c3(F(g(g(g(g(y0)))), g(g(g(g(y1)))), g(g(g(y2))))) F(g(0), g(g(1)), g(g(g(g(g(y0)))))) -> c3(F(g(0), g(g(1)), g(g(g(g(y0)))))) F(g(0), g(g(g(g(1)))), g(g(g(y0)))) -> c3(F(g(0), g(g(g(g(1)))), g(g(y0)))) F(g(z0), g(g(g(g(y1)))), g(g(g(g(y2))))) -> c3(F(g(z0), g(g(g(g(y1)))), g(g(g(y2))))) F(g(g(0)), g(g(g(1))), g(g(g(g(g(y0)))))) -> c3(F(g(g(0)), g(g(g(1))), g(g(g(g(y0)))))) F(g(g(y0)), g(g(g(g(g(y1))))), g(g(g(g(y2))))) -> c3(F(g(g(y0)), g(g(g(g(g(y1))))), g(g(g(y2))))) F(g(g(0)), g(g(g(g(g(1))))), g(g(g(y0)))) -> c3(F(g(g(0)), g(g(g(g(g(1))))), g(g(y0)))) F(g(g(g(0))), g(g(g(g(g(1))))), g(g(g(y0)))) -> c3(F(g(g(g(0))), g(g(g(g(g(1))))), g(g(y0)))) F(g(g(g(y0))), g(g(g(g(g(y1))))), g(g(g(g(y2))))) -> c3(F(g(g(g(y0))), g(g(g(g(g(y1))))), g(g(g(y2))))) F(g(g(g(g(g(y0))))), g(g(g(g(g(y1))))), g(g(g(y2)))) -> c3(F(g(g(g(g(g(y0))))), g(g(g(g(g(y1))))), g(g(y2)))) F(g(g(g(g(0)))), g(g(g(g(g(1))))), g(g(g(y0)))) -> c3(F(g(g(g(g(0)))), g(g(g(g(g(1))))), g(g(y0)))) F(g(g(g(g(y0)))), g(g(g(g(g(y1))))), g(g(g(g(y2))))) -> c3(F(g(g(g(g(y0)))), g(g(g(g(g(y1))))), g(g(g(y2))))) F(g(0), g(g(g(1))), g(g(g(g(g(y0)))))) -> c3(F(g(0), g(g(g(1))), g(g(g(g(y0)))))) F(g(z0), g(g(g(g(g(g(y1)))))), g(g(g(y2)))) -> c3(F(g(z0), g(g(g(g(g(g(y1)))))), g(g(y2)))) F(g(0), g(g(g(g(g(1))))), g(g(g(y0)))) -> c3(F(g(0), g(g(g(g(g(1))))), g(g(y0)))) F(g(z0), g(g(g(g(g(y1))))), g(g(g(g(y2))))) -> c3(F(g(z0), g(g(g(g(g(y1))))), g(g(g(y2))))) F(g(g(0)), g(g(g(g(1)))), g(g(g(g(g(y0)))))) -> c3(F(g(g(0)), g(g(g(g(1)))), g(g(g(g(y0)))))) F(g(g(y0)), g(g(g(g(g(g(g(y1))))))), g(g(g(y2)))) -> c3(F(g(g(y0)), g(g(g(g(g(g(g(y1))))))), g(g(y2)))) F(g(g(y0)), g(g(g(g(g(g(y1)))))), g(g(g(g(y2))))) -> c3(F(g(g(y0)), g(g(g(g(g(g(y1)))))), g(g(g(y2))))) F(g(g(0)), g(g(g(g(g(g(1)))))), g(g(g(y0)))) -> c3(F(g(g(0)), g(g(g(g(g(g(1)))))), g(g(y0)))) F(g(g(g(y0))), g(g(g(g(g(g(g(y1))))))), g(g(g(y2)))) -> c3(F(g(g(g(y0))), g(g(g(g(g(g(g(y1))))))), g(g(y2)))) F(g(g(g(0))), g(g(g(g(g(g(1)))))), g(g(g(y0)))) -> c3(F(g(g(g(0))), g(g(g(g(g(g(1)))))), g(g(y0)))) F(g(g(g(y0))), g(g(g(g(g(g(y1)))))), g(g(g(g(y2))))) -> c3(F(g(g(g(y0))), g(g(g(g(g(g(y1)))))), g(g(g(y2))))) F(g(g(g(g(g(y0))))), g(g(g(g(g(g(y1)))))), g(g(g(y2)))) -> c3(F(g(g(g(g(g(y0))))), g(g(g(g(g(g(y1)))))), g(g(y2)))) F(g(g(g(g(y0)))), g(g(g(g(g(g(g(y1))))))), g(g(g(y2)))) -> c3(F(g(g(g(g(y0)))), g(g(g(g(g(g(g(y1))))))), g(g(y2)))) F(g(g(g(g(0)))), g(g(g(g(g(g(1)))))), g(g(g(y0)))) -> c3(F(g(g(g(g(0)))), g(g(g(g(g(g(1)))))), g(g(y0)))) F(g(g(g(g(y0)))), g(g(g(g(g(g(y1)))))), g(g(g(g(y2))))) -> c3(F(g(g(g(g(y0)))), g(g(g(g(g(g(y1)))))), g(g(g(y2))))) F(g(g(y0)), g(z1), g(g(g(g(g(y2)))))) -> c3(F(g(g(y0)), g(z1), g(g(g(g(y2)))))) F(g(g(g(0))), g(1), g(g(g(g(y0))))) -> c3(F(g(g(g(0))), g(1), g(g(g(y0))))) F(g(g(g(y0))), g(z1), g(g(g(g(g(y2)))))) -> c3(F(g(g(g(y0))), g(z1), g(g(g(g(y2)))))) F(g(g(g(g(g(y0))))), g(z1), g(g(g(g(y2))))) -> c3(F(g(g(g(g(g(y0))))), g(z1), g(g(g(y2))))) F(g(g(g(g(0)))), g(1), g(g(g(g(y0))))) -> c3(F(g(g(g(g(0)))), g(1), g(g(g(y0))))) F(g(g(g(g(y0)))), g(z1), g(g(g(g(g(y2)))))) -> c3(F(g(g(g(g(y0)))), g(z1), g(g(g(g(y2)))))) F(g(g(y0)), g(g(y1)), g(g(g(g(g(y2)))))) -> c3(F(g(g(y0)), g(g(y1)), g(g(g(g(y2)))))) F(g(g(g(0))), g(g(1)), g(g(g(g(y0))))) -> c3(F(g(g(g(0))), g(g(1)), g(g(g(y0))))) F(g(g(g(y0))), g(g(y1)), g(g(g(g(g(y2)))))) -> c3(F(g(g(g(y0))), g(g(y1)), g(g(g(g(y2)))))) F(g(g(g(g(g(y0))))), g(g(y1)), g(g(g(g(y2))))) -> c3(F(g(g(g(g(g(y0))))), g(g(y1)), g(g(g(y2))))) F(g(g(g(g(0)))), g(g(1)), g(g(g(g(y0))))) -> c3(F(g(g(g(g(0)))), g(g(1)), g(g(g(y0))))) F(g(g(g(g(y0)))), g(g(y1)), g(g(g(g(g(y2)))))) -> c3(F(g(g(g(g(y0)))), g(g(y1)), g(g(g(g(y2)))))) F(g(g(0)), g(1), g(g(g(g(g(g(y0))))))) -> c3(F(g(g(0)), g(1), g(g(g(g(g(y0))))))) F(g(g(y0)), g(g(g(y1))), g(g(g(g(g(y2)))))) -> c3(F(g(g(y0)), g(g(g(y1))), g(g(g(g(y2)))))) F(g(g(g(0))), g(g(g(1))), g(g(g(g(y0))))) -> c3(F(g(g(g(0))), g(g(g(1))), g(g(g(y0))))) F(g(g(g(y0))), g(g(g(y1))), g(g(g(g(g(y2)))))) -> c3(F(g(g(g(y0))), g(g(g(y1))), g(g(g(g(y2)))))) F(g(g(g(g(g(y0))))), g(g(g(y1))), g(g(g(g(y2))))) -> c3(F(g(g(g(g(g(y0))))), g(g(g(y1))), g(g(g(y2))))) F(g(g(g(g(0)))), g(g(g(1))), g(g(g(g(y0))))) -> c3(F(g(g(g(g(0)))), g(g(g(1))), g(g(g(y0))))) F(g(g(g(g(y0)))), g(g(g(y1))), g(g(g(g(g(y2)))))) -> c3(F(g(g(g(g(y0)))), g(g(g(y1))), g(g(g(g(y2)))))) F(g(g(0)), g(g(1)), g(g(g(g(g(g(y0))))))) -> c3(F(g(g(0)), g(g(1)), g(g(g(g(g(y0))))))) F(g(g(y0)), g(g(g(g(y1)))), g(g(g(g(g(y2)))))) -> c3(F(g(g(y0)), g(g(g(g(y1)))), g(g(g(g(y2)))))) F(g(g(g(0))), g(g(g(g(1)))), g(g(g(g(y0))))) -> c3(F(g(g(g(0))), g(g(g(g(1)))), g(g(g(y0))))) F(g(g(g(y0))), g(g(g(g(y1)))), g(g(g(g(g(y2)))))) -> c3(F(g(g(g(y0))), g(g(g(g(y1)))), g(g(g(g(y2)))))) F(g(g(g(g(g(y0))))), g(g(g(g(y1)))), g(g(g(g(y2))))) -> c3(F(g(g(g(g(g(y0))))), g(g(g(g(y1)))), g(g(g(y2))))) F(g(g(g(g(0)))), g(g(g(g(1)))), g(g(g(g(y0))))) -> c3(F(g(g(g(g(0)))), g(g(g(g(1)))), g(g(g(y0))))) F(g(g(g(g(y0)))), g(g(g(g(y1)))), g(g(g(g(g(y2)))))) -> c3(F(g(g(g(g(y0)))), g(g(g(g(y1)))), g(g(g(g(y2)))))) F(g(g(0)), g(g(g(1))), g(g(g(g(g(g(y0))))))) -> c3(F(g(g(0)), g(g(g(1))), g(g(g(g(g(y0))))))) F(g(g(y0)), g(g(g(g(g(y1))))), g(g(g(g(g(y2)))))) -> c3(F(g(g(y0)), g(g(g(g(g(y1))))), g(g(g(g(y2)))))) F(g(g(0)), g(g(g(g(g(1))))), g(g(g(g(y0))))) -> c3(F(g(g(0)), g(g(g(g(g(1))))), g(g(g(y0))))) F(g(g(g(0))), g(g(g(g(g(1))))), g(g(g(g(y0))))) -> c3(F(g(g(g(0))), g(g(g(g(g(1))))), g(g(g(y0))))) F(g(g(g(y0))), g(g(g(g(g(y1))))), g(g(g(g(g(y2)))))) -> c3(F(g(g(g(y0))), g(g(g(g(g(y1))))), g(g(g(g(y2)))))) F(g(g(g(g(g(y0))))), g(g(g(g(g(y1))))), g(g(g(g(y2))))) -> c3(F(g(g(g(g(g(y0))))), g(g(g(g(g(y1))))), g(g(g(y2))))) F(g(g(g(g(0)))), g(g(g(g(g(1))))), g(g(g(g(y0))))) -> c3(F(g(g(g(g(0)))), g(g(g(g(g(1))))), g(g(g(y0))))) F(g(g(g(g(y0)))), g(g(g(g(g(y1))))), g(g(g(g(g(y2)))))) -> c3(F(g(g(g(g(y0)))), g(g(g(g(g(y1))))), g(g(g(g(y2)))))) F(g(g(0)), g(g(g(g(1)))), g(g(g(g(g(g(y0))))))) -> c3(F(g(g(0)), g(g(g(g(1)))), g(g(g(g(g(y0))))))) F(g(g(y0)), g(g(g(g(g(g(g(y1))))))), g(g(g(g(y2))))) -> c3(F(g(g(y0)), g(g(g(g(g(g(g(y1))))))), g(g(g(y2))))) F(g(g(y0)), g(g(g(g(g(g(y1)))))), g(g(g(g(g(y2)))))) -> c3(F(g(g(y0)), g(g(g(g(g(g(y1)))))), g(g(g(g(y2)))))) F(g(g(0)), g(g(g(g(g(g(1)))))), g(g(g(g(y0))))) -> c3(F(g(g(0)), g(g(g(g(g(g(1)))))), g(g(g(y0))))) F(g(g(g(y0))), g(g(g(g(g(g(g(y1))))))), g(g(g(g(y2))))) -> c3(F(g(g(g(y0))), g(g(g(g(g(g(g(y1))))))), g(g(g(y2))))) F(g(g(g(0))), g(g(g(g(g(g(1)))))), g(g(g(g(y0))))) -> c3(F(g(g(g(0))), g(g(g(g(g(g(1)))))), g(g(g(y0))))) F(g(g(g(y0))), g(g(g(g(g(g(y1)))))), g(g(g(g(g(y2)))))) -> c3(F(g(g(g(y0))), g(g(g(g(g(g(y1)))))), g(g(g(g(y2)))))) F(g(g(g(g(g(y0))))), g(g(g(g(g(g(y1)))))), g(g(g(g(y2))))) -> c3(F(g(g(g(g(g(y0))))), g(g(g(g(g(g(y1)))))), g(g(g(y2))))) F(g(g(g(g(y0)))), g(g(g(g(g(g(g(y1))))))), g(g(g(g(y2))))) -> c3(F(g(g(g(g(y0)))), g(g(g(g(g(g(g(y1))))))), g(g(g(y2))))) F(g(g(g(g(0)))), g(g(g(g(g(g(1)))))), g(g(g(g(y0))))) -> c3(F(g(g(g(g(0)))), g(g(g(g(g(g(1)))))), g(g(g(y0))))) F(g(g(g(g(y0)))), g(g(g(g(g(g(y1)))))), g(g(g(g(g(y2)))))) -> c3(F(g(g(g(g(y0)))), g(g(g(g(g(g(y1)))))), g(g(g(g(y2)))))) ---------------------------------------- (74) Obligation: Complexity Dependency Tuples Problem Rules:none Tuples: F(g(y0), z1, g(g(y2))) -> c3(F(g(y0), z1, g(y2))) F(0, g(1), g(z2)) -> c3(F(0, g(1), z2)) F(z0, g(g(y1)), g(z2)) -> c3(F(z0, g(g(y1)), z2)) F(z0, g(y1), g(g(y2))) -> c3(F(z0, g(y1), g(y2))) F(g(0), g(1), g(z2)) -> c3(F(g(0), g(1), z2)) F(g(g(y0)), g(y1), g(z2)) -> c3(F(g(g(y0)), g(y1), z2)) F(g(y0), g(g(y1)), g(z2)) -> c3(F(g(y0), g(g(y1)), z2)) F(g(y0), g(y1), g(g(y2))) -> c3(F(g(y0), g(y1), g(y2))) F(g(g(0)), 1, z2) -> c1(F(g(0), 1, z2)) F(g(g(g(y0))), z1, z2) -> c1(F(g(g(y0)), z1, z2)) F(g(g(z0)), g(y1), z2) -> c1(F(g(z0), g(y1), z2)) F(g(g(z0)), z1, g(y2)) -> c1(F(g(z0), z1, g(y2))) F(g(g(z0)), g(g(y1)), z2) -> c1(F(g(z0), g(g(y1)), z2)) F(g(g(z0)), g(y1), g(y2)) -> c1(F(g(z0), g(y1), g(y2))) F(g(g(0)), g(1), z2) -> c1(F(g(0), g(1), z2)) F(g(g(g(y0))), g(y1), z2) -> c1(F(g(g(y0)), g(y1), z2)) F(g(g(z0)), z1, g(g(y2))) -> c1(F(g(z0), z1, g(g(y2)))) F(g(g(0)), 1, g(y0)) -> c1(F(g(0), 1, g(y0))) F(g(g(g(y0))), z1, g(y2)) -> c1(F(g(g(y0)), z1, g(y2))) F(g(g(z0)), g(g(y1)), g(y2)) -> c1(F(g(z0), g(g(y1)), g(y2))) F(g(g(z0)), g(y1), g(g(y2))) -> c1(F(g(z0), g(y1), g(g(y2)))) F(g(g(0)), g(1), g(y0)) -> c1(F(g(0), g(1), g(y0))) F(g(g(g(y0))), g(y1), g(y2)) -> c1(F(g(g(y0)), g(y1), g(y2))) F(g(0), g(1), z2) -> c1(F(0, g(1), z2)) F(g(z0), g(g(y1)), z2) -> c1(F(z0, g(g(y1)), z2)) F(g(z0), g(z1), g(y2)) -> c1(F(z0, g(z1), g(y2))) F(g(z0), g(z1), g(g(y2))) -> c1(F(z0, g(z1), g(g(y2)))) F(g(0), g(1), g(y0)) -> c1(F(0, g(1), g(y0))) F(g(z0), g(g(y1)), g(y2)) -> c1(F(z0, g(g(y1)), g(y2))) F(g(g(g(g(y0)))), g(z1), z2) -> c1(F(g(g(g(y0))), g(z1), z2)) F(g(g(g(y0))), g(g(y1)), z2) -> c1(F(g(g(y0)), g(g(y1)), z2)) F(g(g(g(0))), g(1), z2) -> c1(F(g(g(0)), g(1), z2)) F(g(g(g(y0))), g(z1), g(g(y2))) -> c1(F(g(g(y0)), g(z1), g(g(y2)))) F(g(g(g(g(y0)))), g(z1), g(y2)) -> c1(F(g(g(g(y0))), g(z1), g(y2))) F(g(g(g(y0))), g(g(y1)), g(y2)) -> c1(F(g(g(y0)), g(g(y1)), g(y2))) F(g(g(g(0))), g(1), g(y0)) -> c1(F(g(g(0)), g(1), g(y0))) F(0, 1, g(y2)) -> c(F(g(g(y2)), g(g(y2)), g(y2))) F(0, 1, g(g(y2))) -> c(F(g(g(g(y2))), g(g(g(y2))), g(g(y2)))) F(0, 1, g(g(g(y0)))) -> c(F(g(g(g(g(y0)))), g(g(g(g(y0)))), g(g(g(y0))))) F(g(0), 1, g(y0)) -> c1(F(0, 1, g(y0))) F(g(0), 1, g(g(y2))) -> c1(F(0, 1, g(g(y2)))) F(g(0), 1, g(g(g(y0)))) -> c1(F(0, 1, g(g(g(y0))))) F(g(z0), z1, g(g(y2))) -> c1(F(z0, z1, g(g(y2)))) F(g(g(g(0))), 1, g(z2)) -> c1(F(g(g(0)), 1, g(z2))) F(g(g(g(g(y0)))), z1, g(z2)) -> c1(F(g(g(g(y0))), z1, g(z2))) F(g(g(g(y0))), z1, g(g(y2))) -> c1(F(g(g(y0)), z1, g(g(y2)))) F(g(g(g(g(g(y0))))), g(y1), g(z2)) -> c1(F(g(g(g(g(y0)))), g(y1), g(z2))) F(g(g(g(g(y0)))), g(g(y1)), g(z2)) -> c1(F(g(g(g(y0))), g(g(y1)), g(z2))) F(g(g(g(g(0)))), g(1), g(z2)) -> c1(F(g(g(g(0))), g(1), g(z2))) F(g(g(g(g(y0)))), g(y1), g(g(y2))) -> c1(F(g(g(g(y0))), g(y1), g(g(y2)))) F(g(g(0)), 1, g(g(y0))) -> c1(F(g(0), 1, g(g(y0)))) F(g(g(0)), 1, g(g(g(y0)))) -> c1(F(g(0), 1, g(g(g(y0))))) F(0, g(1), g(y0)) -> c2(F(0, 1, g(y0))) F(0, g(1), g(g(y2))) -> c2(F(0, 1, g(g(y2)))) F(0, g(1), g(g(g(y0)))) -> c2(F(0, 1, g(g(g(y0))))) F(z0, g(g(g(y1))), z2) -> c2(F(z0, g(g(y1)), z2)) F(z0, g(g(z1)), g(y2)) -> c2(F(z0, g(z1), g(y2))) F(g(0), g(g(1)), z2) -> c2(F(g(0), g(1), z2)) F(g(g(y0)), g(g(z1)), z2) -> c2(F(g(g(y0)), g(z1), z2)) F(g(y0), g(g(g(y1))), z2) -> c2(F(g(y0), g(g(y1)), z2)) F(g(y0), g(g(z1)), g(y2)) -> c2(F(g(y0), g(z1), g(y2))) F(z0, g(g(z1)), 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c2(F(g(g(0)), g(g(1)), z2)) F(g(g(g(g(y0)))), g(g(g(y1))), z2) -> c2(F(g(g(g(g(y0)))), g(g(y1)), z2)) F(g(g(g(y0))), g(g(g(g(y1)))), z2) -> c2(F(g(g(g(y0))), g(g(g(y1))), z2)) F(g(g(g(0))), g(g(g(1))), z2) -> c2(F(g(g(g(0))), g(g(1)), z2)) F(g(g(0)), g(g(1)), g(g(y0))) -> c2(F(g(g(0)), g(1), g(g(y0)))) F(g(g(0)), g(g(1)), g(g(g(y0)))) -> c2(F(g(g(0)), g(1), g(g(g(y0))))) F(g(g(z0)), g(g(g(g(g(y1))))), g(y2)) -> c2(F(g(g(z0)), g(g(g(g(y1)))), g(y2))) F(g(g(z0)), g(g(g(g(y1)))), g(g(y2))) -> c2(F(g(g(z0)), g(g(g(y1))), g(g(y2)))) F(g(g(0)), g(g(g(g(1)))), g(y0)) -> c2(F(g(g(0)), g(g(g(1))), g(y0))) F(g(g(g(y0))), g(g(g(g(g(y1))))), g(y2)) -> c2(F(g(g(g(y0))), g(g(g(g(y1)))), g(y2))) F(g(g(g(0))), g(g(g(g(1)))), g(y0)) -> c2(F(g(g(g(0))), g(g(g(1))), g(y0))) F(g(g(g(y0))), g(g(g(g(y1)))), g(g(y2))) -> c2(F(g(g(g(y0))), g(g(g(y1))), g(g(y2)))) F(g(g(g(g(g(y0))))), g(g(g(g(y1)))), g(y2)) -> c2(F(g(g(g(g(g(y0))))), g(g(g(y1))), g(y2))) F(g(g(g(g(y0)))), g(g(g(g(g(y1))))), g(y2)) -> c2(F(g(g(g(g(y0)))), g(g(g(g(y1)))), g(y2))) F(g(g(g(g(0)))), g(g(g(g(1)))), g(y0)) -> c2(F(g(g(g(g(0)))), g(g(g(1))), g(y0))) F(g(g(g(g(y0)))), g(g(g(g(y1)))), g(g(y2))) -> c2(F(g(g(g(g(y0)))), g(g(g(y1))), g(g(y2)))) F(g(z0), g(g(g(g(y1)))), z2) -> c2(F(g(z0), g(g(g(y1))), z2)) F(g(0), g(g(g(1))), z2) -> c2(F(g(0), g(g(1)), z2)) F(g(0), g(g(1)), g(g(y0))) -> c2(F(g(0), g(1), g(g(y0)))) F(g(0), g(g(1)), g(g(g(y0)))) -> c2(F(g(0), g(1), g(g(g(y0))))) F(g(z0), g(g(g(g(g(y1))))), g(y2)) -> c2(F(g(z0), g(g(g(g(y1)))), g(y2))) F(g(0), g(g(g(g(1)))), g(y0)) -> c2(F(g(0), g(g(g(1))), g(y0))) F(g(z0), g(g(g(g(y1)))), g(g(y2))) -> c2(F(g(z0), g(g(g(y1))), g(g(y2)))) F(g(g(y0)), g(g(g(g(g(y1))))), z2) -> c2(F(g(g(y0)), g(g(g(g(y1)))), z2)) F(g(g(0)), g(g(g(g(1)))), z2) -> c2(F(g(g(0)), g(g(g(1))), z2)) F(g(g(g(g(y0)))), g(g(g(g(y1)))), z2) -> c2(F(g(g(g(g(y0)))), g(g(g(y1))), z2)) F(g(g(g(y0))), g(g(g(g(g(y1))))), z2) -> c2(F(g(g(g(y0))), g(g(g(g(y1)))), z2)) F(g(g(g(0))), g(g(g(g(1)))), z2) -> 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g(z2)) -> c2(F(g(g(g(0))), g(g(g(g(g(1))))), g(z2))) F(g(g(g(y0))), g(g(g(g(g(g(y1)))))), g(g(y2))) -> c2(F(g(g(g(y0))), g(g(g(g(g(y1))))), g(g(y2)))) F(g(g(g(g(g(y0))))), g(g(g(g(g(g(y1)))))), g(z2)) -> c2(F(g(g(g(g(g(y0))))), g(g(g(g(g(y1))))), g(z2))) F(g(g(g(g(y0)))), g(g(g(g(g(g(g(y1))))))), g(z2)) -> c2(F(g(g(g(g(y0)))), g(g(g(g(g(g(y1)))))), g(z2))) F(g(g(g(g(0)))), g(g(g(g(g(g(1)))))), g(z2)) -> c2(F(g(g(g(g(0)))), g(g(g(g(g(1))))), g(z2))) F(g(g(g(g(y0)))), g(g(g(g(g(g(y1)))))), g(g(y2))) -> c2(F(g(g(g(g(y0)))), g(g(g(g(g(y1))))), g(g(y2)))) F(0, 1, g(g(y0))) -> c3(F(0, 1, g(y0))) F(0, 1, g(g(g(y2)))) -> c3(F(0, 1, g(g(y2)))) F(0, 1, g(g(g(g(y0))))) -> c3(F(0, 1, g(g(g(y0))))) F(z0, z1, g(g(g(y2)))) -> c3(F(z0, z1, g(g(y2)))) F(g(0), 1, g(g(z2))) -> c3(F(g(0), 1, g(z2))) F(g(g(y0)), z1, g(g(z2))) -> c3(F(g(g(y0)), z1, g(z2))) F(g(y0), z1, g(g(g(y2)))) -> c3(F(g(y0), z1, g(g(y2)))) F(0, g(1), g(g(z2))) -> c3(F(0, g(1), g(z2))) F(z0, g(g(y1)), g(g(z2))) -> c3(F(z0, g(g(y1)), 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g(g(g(y2)))) -> c3(F(g(g(y0)), g(g(g(y1))), g(g(y2)))) F(g(g(g(y0))), g(g(g(g(y1)))), g(g(z2))) -> c3(F(g(g(g(y0))), g(g(g(g(y1)))), g(z2))) F(g(g(g(0))), g(g(g(1))), g(g(z2))) -> c3(F(g(g(g(0))), g(g(g(1))), g(z2))) F(g(g(g(y0))), g(g(g(y1))), g(g(g(y2)))) -> c3(F(g(g(g(y0))), g(g(g(y1))), g(g(y2)))) F(g(g(g(g(g(y0))))), g(g(g(y1))), g(g(z2))) -> c3(F(g(g(g(g(g(y0))))), g(g(g(y1))), g(z2))) F(g(g(g(g(y0)))), g(g(g(g(y1)))), g(g(z2))) -> c3(F(g(g(g(g(y0)))), g(g(g(g(y1)))), g(z2))) F(g(g(g(g(0)))), g(g(g(1))), g(g(z2))) -> c3(F(g(g(g(g(0)))), g(g(g(1))), g(z2))) F(g(g(g(g(y0)))), g(g(g(y1))), g(g(g(y2)))) -> c3(F(g(g(g(g(y0)))), g(g(g(y1))), g(g(y2)))) F(0, g(g(g(1))), g(g(g(y0)))) -> c3(F(0, g(g(g(1))), g(g(y0)))) F(0, g(g(g(1))), g(g(g(g(y0))))) -> c3(F(0, g(g(g(1))), g(g(g(y0))))) F(g(g(0)), g(g(1)), g(g(g(y0)))) -> c3(F(g(g(0)), g(g(1)), g(g(y0)))) F(g(g(0)), g(g(1)), g(g(g(g(y0))))) -> c3(F(g(g(0)), g(g(1)), g(g(g(y0))))) F(g(g(y0)), g(g(g(g(g(y1))))), g(g(z2))) -> c3(F(g(g(y0)), 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g(g(g(g(g(y1))))), g(z2))) F(g(g(g(g(y0)))), g(g(g(g(g(g(y1)))))), g(g(z2))) -> c3(F(g(g(g(g(y0)))), g(g(g(g(g(g(y1)))))), g(z2))) F(g(g(g(g(0)))), g(g(g(g(g(1))))), g(g(z2))) -> c3(F(g(g(g(g(0)))), g(g(g(g(g(1))))), g(z2))) F(g(g(g(g(y0)))), g(g(g(g(g(y1))))), g(g(g(y2)))) -> c3(F(g(g(g(g(y0)))), g(g(g(g(g(y1))))), g(g(y2)))) F(g(0), g(g(g(1))), g(g(g(y0)))) -> c3(F(g(0), g(g(g(1))), g(g(y0)))) F(g(0), g(g(g(1))), g(g(g(g(y0))))) -> c3(F(g(0), g(g(g(1))), g(g(g(y0))))) F(g(y0), g(g(g(g(g(g(y1)))))), g(g(z2))) -> c3(F(g(y0), g(g(g(g(g(g(y1)))))), g(z2))) F(g(0), g(g(g(g(g(1))))), g(g(z2))) -> c3(F(g(0), g(g(g(g(g(1))))), g(z2))) F(g(y0), g(g(g(g(g(y1))))), g(g(g(y2)))) -> c3(F(g(y0), g(g(g(g(g(y1))))), g(g(y2)))) F(g(g(0)), g(g(g(g(1)))), g(g(g(y0)))) -> c3(F(g(g(0)), g(g(g(g(1)))), g(g(y0)))) F(g(g(0)), g(g(g(g(1)))), g(g(g(g(y0))))) -> c3(F(g(g(0)), g(g(g(g(1)))), g(g(g(y0))))) F(g(g(y0)), g(g(g(g(g(g(g(y1))))))), g(g(z2))) -> c3(F(g(g(y0)), g(g(g(g(g(g(g(y1))))))), g(z2))) F(g(g(y0)), g(g(g(g(g(g(y1)))))), g(g(g(y2)))) -> c3(F(g(g(y0)), g(g(g(g(g(g(y1)))))), g(g(y2)))) F(g(g(0)), g(g(g(g(g(g(1)))))), g(g(z2))) -> c3(F(g(g(0)), g(g(g(g(g(g(1)))))), g(z2))) F(g(g(g(y0))), g(g(g(g(g(g(g(y1))))))), g(g(z2))) -> c3(F(g(g(g(y0))), g(g(g(g(g(g(g(y1))))))), g(z2))) F(g(g(g(0))), g(g(g(g(g(g(1)))))), g(g(z2))) -> c3(F(g(g(g(0))), g(g(g(g(g(g(1)))))), g(z2))) F(g(g(g(y0))), g(g(g(g(g(g(y1)))))), g(g(g(y2)))) -> c3(F(g(g(g(y0))), g(g(g(g(g(g(y1)))))), g(g(y2)))) F(g(g(g(g(g(y0))))), g(g(g(g(g(g(y1)))))), g(g(z2))) -> c3(F(g(g(g(g(g(y0))))), g(g(g(g(g(g(y1)))))), g(z2))) F(g(g(g(g(y0)))), g(g(g(g(g(g(g(y1))))))), g(g(z2))) -> c3(F(g(g(g(g(y0)))), g(g(g(g(g(g(g(y1))))))), g(z2))) F(g(g(g(g(0)))), g(g(g(g(g(g(1)))))), g(g(z2))) -> c3(F(g(g(g(g(0)))), g(g(g(g(g(g(1)))))), g(z2))) F(g(g(g(g(y0)))), g(g(g(g(g(g(y1)))))), g(g(g(y2)))) -> c3(F(g(g(g(g(y0)))), g(g(g(g(g(g(y1)))))), g(g(y2)))) F(0, 1, g(g(g(g(g(y0)))))) -> c3(F(0, 1, g(g(g(g(y0)))))) F(g(0), 1, g(g(g(g(g(y0)))))) -> c3(F(g(0), 1, g(g(g(g(y0)))))) F(g(g(0)), 1, g(z2)) -> c3(F(g(g(0)), 1, z2)) F(g(g(g(y0))), z1, g(z2)) -> c3(F(g(g(g(y0))), z1, z2)) F(g(g(z0)), g(g(y1)), g(z2)) -> c3(F(g(g(z0)), g(g(y1)), z2)) F(g(g(0)), g(1), g(z2)) -> c3(F(g(g(0)), g(1), z2)) F(g(g(g(y0))), g(y1), g(z2)) -> c3(F(g(g(g(y0))), g(y1), z2)) F(g(g(g(g(y0)))), g(y1), g(z2)) -> c3(F(g(g(g(g(y0)))), g(y1), z2)) F(g(g(g(y0))), g(g(y1)), g(z2)) -> c3(F(g(g(g(y0))), g(g(y1)), z2)) F(g(g(g(0))), g(1), g(z2)) -> c3(F(g(g(g(0))), g(1), z2)) F(g(g(z0)), g(g(g(y1))), g(z2)) -> c3(F(g(g(z0)), g(g(g(y1))), z2)) F(g(g(0)), g(g(1)), g(z2)) -> c3(F(g(g(0)), g(g(1)), z2)) F(g(g(g(g(y0)))), g(g(y1)), g(z2)) -> c3(F(g(g(g(g(y0)))), g(g(y1)), z2)) F(g(g(g(y0))), g(g(g(y1))), g(z2)) -> c3(F(g(g(g(y0))), g(g(g(y1))), z2)) F(g(g(g(0))), g(g(1)), g(z2)) -> c3(F(g(g(g(0))), g(g(1)), z2)) F(g(g(z0)), g(g(g(g(y1)))), g(z2)) -> c3(F(g(g(z0)), g(g(g(g(y1)))), z2)) F(g(g(0)), g(g(g(1))), g(z2)) -> c3(F(g(g(0)), g(g(g(1))), z2)) F(g(g(g(g(y0)))), g(g(g(y1))), g(z2)) -> c3(F(g(g(g(g(y0)))), g(g(g(y1))), z2)) F(g(g(g(y0))), g(g(g(g(y1)))), g(z2)) -> c3(F(g(g(g(y0))), g(g(g(g(y1)))), z2)) F(g(g(g(0))), g(g(g(1))), g(z2)) -> c3(F(g(g(g(0))), g(g(g(1))), z2)) F(g(g(z0)), g(g(g(g(g(y1))))), g(z2)) -> c3(F(g(g(z0)), g(g(g(g(g(y1))))), z2)) F(g(g(0)), g(g(g(g(1)))), g(z2)) -> c3(F(g(g(0)), g(g(g(g(1)))), z2)) F(g(g(g(g(y0)))), g(g(g(g(y1)))), g(z2)) -> c3(F(g(g(g(g(y0)))), g(g(g(g(y1)))), z2)) F(g(g(g(y0))), g(g(g(g(g(y1))))), g(z2)) -> c3(F(g(g(g(y0))), g(g(g(g(g(y1))))), z2)) F(g(g(g(0))), g(g(g(g(1)))), g(z2)) -> c3(F(g(g(g(0))), g(g(g(g(1)))), z2)) F(g(g(z0)), z1, g(g(g(g(y2))))) -> c3(F(g(g(z0)), z1, g(g(g(y2))))) F(g(g(z0)), g(y1), g(g(g(g(y2))))) -> c3(F(g(g(z0)), g(y1), g(g(g(y2))))) F(g(g(g(0))), g(1), g(g(g(y0)))) -> c3(F(g(g(g(0))), g(1), g(g(y0)))) F(g(g(g(y0))), g(y1), g(g(g(g(y2))))) -> c3(F(g(g(g(y0))), g(y1), g(g(g(y2))))) F(g(g(g(0))), 1, g(g(g(y0)))) -> c3(F(g(g(g(0))), 1, g(g(y0)))) F(g(g(g(g(y0)))), z1, g(g(g(y2)))) -> c3(F(g(g(g(g(y0)))), z1, g(g(y2)))) F(g(g(g(y0))), z1, g(g(g(g(y2))))) -> c3(F(g(g(g(y0))), z1, g(g(g(y2))))) F(g(g(g(g(g(y0))))), g(y1), g(g(g(y2)))) -> c3(F(g(g(g(g(g(y0))))), g(y1), g(g(y2)))) F(g(g(g(g(0)))), g(1), g(g(g(y0)))) -> c3(F(g(g(g(g(0)))), g(1), g(g(y0)))) F(g(g(g(g(y0)))), g(y1), g(g(g(g(y2))))) -> c3(F(g(g(g(g(y0)))), g(y1), g(g(g(y2))))) F(g(g(0)), 1, g(g(g(g(g(y0)))))) -> c3(F(g(g(0)), 1, g(g(g(g(y0)))))) F(g(g(z0)), g(g(y1)), g(g(g(g(y2))))) -> c3(F(g(g(z0)), g(g(y1)), g(g(g(y2))))) F(g(g(g(0))), g(g(1)), g(g(g(y0)))) -> c3(F(g(g(g(0))), g(g(1)), g(g(y0)))) F(g(g(g(y0))), g(g(y1)), g(g(g(g(y2))))) -> c3(F(g(g(g(y0))), g(g(y1)), g(g(g(y2))))) F(g(g(g(g(g(y0))))), g(g(y1)), g(g(g(y2)))) -> c3(F(g(g(g(g(g(y0))))), g(g(y1)), g(g(y2)))) F(g(g(g(g(0)))), g(g(1)), g(g(g(y0)))) -> c3(F(g(g(g(g(0)))), g(g(1)), g(g(y0)))) F(g(g(g(g(y0)))), g(g(y1)), g(g(g(g(y2))))) -> c3(F(g(g(g(g(y0)))), g(g(y1)), g(g(g(y2))))) F(g(g(0)), g(1), g(g(g(g(g(y0)))))) -> c3(F(g(g(0)), g(1), g(g(g(g(y0)))))) F(g(g(z0)), g(g(g(y1))), g(g(g(g(y2))))) -> c3(F(g(g(z0)), g(g(g(y1))), g(g(g(y2))))) F(g(g(g(0))), g(g(g(1))), g(g(g(y0)))) -> c3(F(g(g(g(0))), g(g(g(1))), g(g(y0)))) F(g(g(g(y0))), g(g(g(y1))), g(g(g(g(y2))))) -> c3(F(g(g(g(y0))), g(g(g(y1))), g(g(g(y2))))) F(g(g(g(g(g(y0))))), g(g(g(y1))), g(g(g(y2)))) -> c3(F(g(g(g(g(g(y0))))), g(g(g(y1))), g(g(y2)))) F(g(g(g(g(0)))), g(g(g(1))), g(g(g(y0)))) -> c3(F(g(g(g(g(0)))), g(g(g(1))), g(g(y0)))) F(g(g(g(g(y0)))), g(g(g(y1))), g(g(g(g(y2))))) -> c3(F(g(g(g(g(y0)))), g(g(g(y1))), g(g(g(y2))))) F(g(g(0)), g(g(1)), g(g(g(g(g(y0)))))) -> c3(F(g(g(0)), g(g(1)), g(g(g(g(y0)))))) F(g(g(z0)), g(g(g(g(y1)))), g(g(g(g(y2))))) -> c3(F(g(g(z0)), g(g(g(g(y1)))), g(g(g(y2))))) F(g(g(g(0))), g(g(g(g(1)))), g(g(g(y0)))) -> c3(F(g(g(g(0))), g(g(g(g(1)))), g(g(y0)))) F(g(g(g(y0))), g(g(g(g(y1)))), g(g(g(g(y2))))) -> c3(F(g(g(g(y0))), g(g(g(g(y1)))), g(g(g(y2))))) F(g(g(g(g(g(y0))))), g(g(g(g(y1)))), g(g(g(y2)))) -> c3(F(g(g(g(g(g(y0))))), g(g(g(g(y1)))), g(g(y2)))) F(g(g(g(g(0)))), g(g(g(g(1)))), g(g(g(y0)))) -> c3(F(g(g(g(g(0)))), g(g(g(g(1)))), g(g(y0)))) F(g(g(g(g(y0)))), g(g(g(g(y1)))), g(g(g(g(y2))))) -> c3(F(g(g(g(g(y0)))), g(g(g(g(y1)))), g(g(g(y2))))) F(g(g(0)), g(g(g(1))), g(g(g(g(g(y0)))))) -> c3(F(g(g(0)), g(g(g(1))), g(g(g(g(y0)))))) F(g(g(z0)), g(g(g(g(g(y1))))), g(g(g(g(y2))))) -> c3(F(g(g(z0)), g(g(g(g(g(y1))))), g(g(g(y2))))) F(g(g(0)), g(g(g(g(g(1))))), g(g(g(y0)))) -> c3(F(g(g(0)), g(g(g(g(g(1))))), g(g(y0)))) F(g(g(g(0))), g(g(g(g(g(1))))), g(g(g(y0)))) -> c3(F(g(g(g(0))), g(g(g(g(g(1))))), g(g(y0)))) F(g(g(g(y0))), g(g(g(g(g(y1))))), g(g(g(g(y2))))) -> c3(F(g(g(g(y0))), g(g(g(g(g(y1))))), g(g(g(y2))))) F(g(g(g(g(g(y0))))), g(g(g(g(g(y1))))), g(g(g(y2)))) -> c3(F(g(g(g(g(g(y0))))), g(g(g(g(g(y1))))), g(g(y2)))) F(g(g(g(g(0)))), g(g(g(g(g(1))))), g(g(g(y0)))) -> c3(F(g(g(g(g(0)))), g(g(g(g(g(1))))), g(g(y0)))) F(g(g(g(g(y0)))), g(g(g(g(g(y1))))), g(g(g(g(y2))))) -> c3(F(g(g(g(g(y0)))), g(g(g(g(g(y1))))), g(g(g(y2))))) F(g(g(0)), g(g(g(g(1)))), g(g(g(g(g(y0)))))) -> c3(F(g(g(0)), g(g(g(g(1)))), g(g(g(g(y0)))))) F(g(g(z0)), g(g(g(g(g(g(g(y1))))))), g(g(g(y2)))) -> c3(F(g(g(z0)), g(g(g(g(g(g(g(y1))))))), g(g(y2)))) F(g(g(z0)), g(g(g(g(g(g(y1)))))), g(g(g(g(y2))))) -> c3(F(g(g(z0)), g(g(g(g(g(g(y1)))))), g(g(g(y2))))) F(g(g(0)), g(g(g(g(g(g(1)))))), g(g(g(y0)))) -> c3(F(g(g(0)), g(g(g(g(g(g(1)))))), g(g(y0)))) F(g(g(g(y0))), g(g(g(g(g(g(g(y1))))))), g(g(g(y2)))) -> c3(F(g(g(g(y0))), g(g(g(g(g(g(g(y1))))))), g(g(y2)))) F(g(g(g(0))), g(g(g(g(g(g(1)))))), g(g(g(y0)))) -> c3(F(g(g(g(0))), g(g(g(g(g(g(1)))))), g(g(y0)))) F(g(g(g(y0))), g(g(g(g(g(g(y1)))))), g(g(g(g(y2))))) -> c3(F(g(g(g(y0))), g(g(g(g(g(g(y1)))))), g(g(g(y2))))) F(g(g(g(g(g(y0))))), g(g(g(g(g(g(y1)))))), g(g(g(y2)))) -> c3(F(g(g(g(g(g(y0))))), g(g(g(g(g(g(y1)))))), g(g(y2)))) F(g(g(g(g(y0)))), g(g(g(g(g(g(g(y1))))))), g(g(g(y2)))) -> c3(F(g(g(g(g(y0)))), g(g(g(g(g(g(g(y1))))))), g(g(y2)))) F(g(g(g(g(0)))), g(g(g(g(g(g(1)))))), g(g(g(y0)))) -> c3(F(g(g(g(g(0)))), g(g(g(g(g(g(1)))))), g(g(y0)))) F(g(g(g(g(y0)))), g(g(g(g(g(g(y1)))))), g(g(g(g(y2))))) -> c3(F(g(g(g(g(y0)))), g(g(g(g(g(g(y1)))))), g(g(g(y2))))) F(g(z0), g(g(g(y1))), g(z2)) -> c3(F(g(z0), g(g(g(y1))), z2)) F(g(0), g(g(1)), g(z2)) -> c3(F(g(0), g(g(1)), z2)) F(g(z0), g(g(g(g(y1)))), g(z2)) -> c3(F(g(z0), g(g(g(g(y1)))), z2)) F(g(0), g(g(g(1))), g(z2)) -> c3(F(g(0), g(g(g(1))), z2)) F(g(z0), g(z1), g(g(g(g(y2))))) -> c3(F(g(z0), g(z1), g(g(g(y2))))) F(g(z0), g(g(y1)), g(g(g(g(y2))))) -> c3(F(g(z0), g(g(y1)), g(g(g(y2))))) F(g(0), g(1), g(g(g(g(g(y0)))))) -> c3(F(g(0), g(1), g(g(g(g(y0)))))) F(g(z0), g(g(g(y1))), g(g(g(g(y2))))) -> c3(F(g(z0), g(g(g(y1))), g(g(g(y2))))) F(g(0), g(g(1)), g(g(g(g(g(y0)))))) -> c3(F(g(0), g(g(1)), g(g(g(g(y0)))))) F(g(0), g(g(g(g(1)))), g(g(g(y0)))) -> c3(F(g(0), g(g(g(g(1)))), g(g(y0)))) F(g(z0), g(g(g(g(y1)))), g(g(g(g(y2))))) -> c3(F(g(z0), g(g(g(g(y1)))), g(g(g(y2))))) F(g(0), g(g(g(1))), g(g(g(g(g(y0)))))) -> c3(F(g(0), g(g(g(1))), g(g(g(g(y0)))))) F(g(z0), g(g(g(g(g(g(y1)))))), g(g(g(y2)))) -> c3(F(g(z0), g(g(g(g(g(g(y1)))))), g(g(y2)))) F(g(0), g(g(g(g(g(1))))), g(g(g(y0)))) -> c3(F(g(0), g(g(g(g(g(1))))), g(g(y0)))) F(g(z0), g(g(g(g(g(y1))))), g(g(g(g(y2))))) -> c3(F(g(z0), g(g(g(g(g(y1))))), g(g(g(y2))))) F(g(g(y0)), g(z1), g(g(g(g(g(y2)))))) -> c3(F(g(g(y0)), g(z1), g(g(g(g(y2)))))) F(g(g(g(0))), g(1), g(g(g(g(y0))))) -> c3(F(g(g(g(0))), g(1), g(g(g(y0))))) F(g(g(g(y0))), g(z1), g(g(g(g(g(y2)))))) -> c3(F(g(g(g(y0))), g(z1), g(g(g(g(y2)))))) F(g(g(g(g(g(y0))))), g(z1), g(g(g(g(y2))))) -> c3(F(g(g(g(g(g(y0))))), g(z1), g(g(g(y2))))) F(g(g(g(g(0)))), g(1), g(g(g(g(y0))))) -> c3(F(g(g(g(g(0)))), g(1), g(g(g(y0))))) F(g(g(g(g(y0)))), g(z1), g(g(g(g(g(y2)))))) -> c3(F(g(g(g(g(y0)))), g(z1), g(g(g(g(y2)))))) F(g(g(y0)), g(g(y1)), g(g(g(g(g(y2)))))) -> c3(F(g(g(y0)), g(g(y1)), g(g(g(g(y2)))))) F(g(g(g(0))), g(g(1)), g(g(g(g(y0))))) -> c3(F(g(g(g(0))), g(g(1)), g(g(g(y0))))) F(g(g(g(y0))), g(g(y1)), g(g(g(g(g(y2)))))) -> c3(F(g(g(g(y0))), g(g(y1)), g(g(g(g(y2)))))) F(g(g(g(g(g(y0))))), g(g(y1)), g(g(g(g(y2))))) -> c3(F(g(g(g(g(g(y0))))), g(g(y1)), g(g(g(y2))))) F(g(g(g(g(0)))), g(g(1)), g(g(g(g(y0))))) -> c3(F(g(g(g(g(0)))), g(g(1)), g(g(g(y0))))) F(g(g(g(g(y0)))), g(g(y1)), g(g(g(g(g(y2)))))) -> c3(F(g(g(g(g(y0)))), g(g(y1)), g(g(g(g(y2)))))) F(g(g(0)), g(1), g(g(g(g(g(g(y0))))))) -> c3(F(g(g(0)), g(1), g(g(g(g(g(y0))))))) F(g(g(y0)), g(g(g(y1))), g(g(g(g(g(y2)))))) -> c3(F(g(g(y0)), g(g(g(y1))), g(g(g(g(y2)))))) F(g(g(g(0))), g(g(g(1))), g(g(g(g(y0))))) -> c3(F(g(g(g(0))), g(g(g(1))), g(g(g(y0))))) F(g(g(g(y0))), g(g(g(y1))), g(g(g(g(g(y2)))))) -> c3(F(g(g(g(y0))), g(g(g(y1))), g(g(g(g(y2)))))) F(g(g(g(g(g(y0))))), g(g(g(y1))), g(g(g(g(y2))))) -> c3(F(g(g(g(g(g(y0))))), g(g(g(y1))), g(g(g(y2))))) F(g(g(g(g(0)))), g(g(g(1))), g(g(g(g(y0))))) -> c3(F(g(g(g(g(0)))), g(g(g(1))), g(g(g(y0))))) F(g(g(g(g(y0)))), g(g(g(y1))), g(g(g(g(g(y2)))))) -> c3(F(g(g(g(g(y0)))), g(g(g(y1))), g(g(g(g(y2)))))) F(g(g(0)), g(g(1)), g(g(g(g(g(g(y0))))))) -> c3(F(g(g(0)), g(g(1)), g(g(g(g(g(y0))))))) F(g(g(y0)), g(g(g(g(y1)))), g(g(g(g(g(y2)))))) -> c3(F(g(g(y0)), g(g(g(g(y1)))), g(g(g(g(y2)))))) F(g(g(g(0))), g(g(g(g(1)))), g(g(g(g(y0))))) -> c3(F(g(g(g(0))), g(g(g(g(1)))), g(g(g(y0))))) F(g(g(g(y0))), g(g(g(g(y1)))), g(g(g(g(g(y2)))))) -> c3(F(g(g(g(y0))), g(g(g(g(y1)))), g(g(g(g(y2)))))) F(g(g(g(g(g(y0))))), g(g(g(g(y1)))), g(g(g(g(y2))))) -> c3(F(g(g(g(g(g(y0))))), g(g(g(g(y1)))), g(g(g(y2))))) F(g(g(g(g(0)))), g(g(g(g(1)))), g(g(g(g(y0))))) -> c3(F(g(g(g(g(0)))), g(g(g(g(1)))), g(g(g(y0))))) F(g(g(g(g(y0)))), g(g(g(g(y1)))), g(g(g(g(g(y2)))))) -> c3(F(g(g(g(g(y0)))), g(g(g(g(y1)))), g(g(g(g(y2)))))) F(g(g(0)), g(g(g(1))), g(g(g(g(g(g(y0))))))) -> c3(F(g(g(0)), g(g(g(1))), g(g(g(g(g(y0))))))) F(g(g(y0)), g(g(g(g(g(y1))))), g(g(g(g(g(y2)))))) -> c3(F(g(g(y0)), g(g(g(g(g(y1))))), g(g(g(g(y2)))))) F(g(g(0)), g(g(g(g(g(1))))), g(g(g(g(y0))))) -> c3(F(g(g(0)), g(g(g(g(g(1))))), g(g(g(y0))))) F(g(g(g(0))), g(g(g(g(g(1))))), g(g(g(g(y0))))) -> c3(F(g(g(g(0))), g(g(g(g(g(1))))), g(g(g(y0))))) F(g(g(g(y0))), g(g(g(g(g(y1))))), g(g(g(g(g(y2)))))) -> c3(F(g(g(g(y0))), g(g(g(g(g(y1))))), g(g(g(g(y2)))))) F(g(g(g(g(g(y0))))), g(g(g(g(g(y1))))), g(g(g(g(y2))))) -> c3(F(g(g(g(g(g(y0))))), g(g(g(g(g(y1))))), g(g(g(y2))))) F(g(g(g(g(0)))), g(g(g(g(g(1))))), g(g(g(g(y0))))) -> c3(F(g(g(g(g(0)))), g(g(g(g(g(1))))), g(g(g(y0))))) F(g(g(g(g(y0)))), g(g(g(g(g(y1))))), g(g(g(g(g(y2)))))) -> c3(F(g(g(g(g(y0)))), g(g(g(g(g(y1))))), g(g(g(g(y2)))))) F(g(g(0)), g(g(g(g(1)))), g(g(g(g(g(g(y0))))))) -> c3(F(g(g(0)), g(g(g(g(1)))), g(g(g(g(g(y0))))))) F(g(g(y0)), g(g(g(g(g(g(g(y1))))))), g(g(g(g(y2))))) -> c3(F(g(g(y0)), g(g(g(g(g(g(g(y1))))))), g(g(g(y2))))) F(g(g(y0)), g(g(g(g(g(g(y1)))))), g(g(g(g(g(y2)))))) -> c3(F(g(g(y0)), g(g(g(g(g(g(y1)))))), g(g(g(g(y2)))))) F(g(g(0)), g(g(g(g(g(g(1)))))), g(g(g(g(y0))))) -> c3(F(g(g(0)), g(g(g(g(g(g(1)))))), g(g(g(y0))))) F(g(g(g(y0))), g(g(g(g(g(g(g(y1))))))), g(g(g(g(y2))))) -> c3(F(g(g(g(y0))), g(g(g(g(g(g(g(y1))))))), g(g(g(y2))))) F(g(g(g(0))), g(g(g(g(g(g(1)))))), g(g(g(g(y0))))) -> c3(F(g(g(g(0))), g(g(g(g(g(g(1)))))), g(g(g(y0))))) F(g(g(g(y0))), g(g(g(g(g(g(y1)))))), g(g(g(g(g(y2)))))) -> c3(F(g(g(g(y0))), g(g(g(g(g(g(y1)))))), g(g(g(g(y2)))))) F(g(g(g(g(g(y0))))), g(g(g(g(g(g(y1)))))), g(g(g(g(y2))))) -> c3(F(g(g(g(g(g(y0))))), g(g(g(g(g(g(y1)))))), g(g(g(y2))))) F(g(g(g(g(y0)))), g(g(g(g(g(g(g(y1))))))), g(g(g(g(y2))))) -> c3(F(g(g(g(g(y0)))), g(g(g(g(g(g(g(y1))))))), g(g(g(y2))))) F(g(g(g(g(0)))), g(g(g(g(g(g(1)))))), g(g(g(g(y0))))) -> c3(F(g(g(g(g(0)))), g(g(g(g(g(g(1)))))), g(g(g(y0))))) F(g(g(g(g(y0)))), g(g(g(g(g(g(y1)))))), g(g(g(g(g(y2)))))) -> c3(F(g(g(g(g(y0)))), g(g(g(g(g(g(y1)))))), g(g(g(g(y2)))))) S tuples: F(g(g(0)), 1, z2) -> c1(F(g(0), 1, z2)) F(g(g(g(y0))), z1, z2) -> c1(F(g(g(y0)), z1, z2)) F(g(g(z0)), g(y1), z2) -> c1(F(g(z0), g(y1), z2)) F(g(g(z0)), z1, g(y2)) -> c1(F(g(z0), z1, g(y2))) F(g(g(z0)), g(g(y1)), z2) -> c1(F(g(z0), g(g(y1)), z2)) F(g(g(z0)), g(y1), g(y2)) -> c1(F(g(z0), g(y1), g(y2))) F(g(g(0)), g(1), z2) -> c1(F(g(0), g(1), z2)) F(g(g(g(y0))), g(y1), z2) -> c1(F(g(g(y0)), g(y1), z2)) F(g(g(z0)), z1, g(g(y2))) -> c1(F(g(z0), z1, g(g(y2)))) F(g(g(0)), 1, g(y0)) -> c1(F(g(0), 1, g(y0))) F(g(g(g(y0))), z1, g(y2)) -> c1(F(g(g(y0)), z1, g(y2))) F(g(g(z0)), g(g(y1)), g(y2)) -> c1(F(g(z0), g(g(y1)), g(y2))) F(g(g(z0)), g(y1), g(g(y2))) -> c1(F(g(z0), g(y1), g(g(y2)))) F(g(g(0)), g(1), g(y0)) -> c1(F(g(0), g(1), g(y0))) F(g(g(g(y0))), g(y1), g(y2)) -> c1(F(g(g(y0)), g(y1), g(y2))) F(g(0), g(1), z2) -> c1(F(0, g(1), z2)) F(g(z0), g(g(y1)), z2) -> c1(F(z0, g(g(y1)), z2)) F(g(z0), g(z1), g(y2)) -> c1(F(z0, g(z1), g(y2))) F(g(z0), g(z1), g(g(y2))) -> c1(F(z0, g(z1), g(g(y2)))) F(g(0), g(1), g(y0)) -> c1(F(0, g(1), g(y0))) F(g(z0), g(g(y1)), g(y2)) -> c1(F(z0, g(g(y1)), g(y2))) F(g(g(g(g(y0)))), g(z1), z2) -> c1(F(g(g(g(y0))), g(z1), z2)) F(g(g(g(y0))), g(g(y1)), z2) -> c1(F(g(g(y0)), g(g(y1)), z2)) F(g(g(g(0))), g(1), z2) -> c1(F(g(g(0)), g(1), z2)) F(g(g(g(y0))), g(z1), g(g(y2))) -> c1(F(g(g(y0)), g(z1), g(g(y2)))) F(g(g(g(g(y0)))), g(z1), g(y2)) -> c1(F(g(g(g(y0))), g(z1), g(y2))) F(g(g(g(y0))), g(g(y1)), g(y2)) -> c1(F(g(g(y0)), g(g(y1)), g(y2))) F(g(g(g(0))), g(1), g(y0)) -> c1(F(g(g(0)), g(1), g(y0))) F(0, 1, g(y2)) -> c(F(g(g(y2)), g(g(y2)), g(y2))) F(0, 1, g(g(y2))) -> c(F(g(g(g(y2))), g(g(g(y2))), g(g(y2)))) F(0, 1, g(g(g(y0)))) -> c(F(g(g(g(g(y0)))), g(g(g(g(y0)))), g(g(g(y0))))) F(g(0), 1, g(y0)) -> c1(F(0, 1, g(y0))) F(g(0), 1, g(g(y2))) -> c1(F(0, 1, g(g(y2)))) F(g(0), 1, g(g(g(y0)))) -> c1(F(0, 1, g(g(g(y0))))) F(g(z0), z1, g(g(y2))) -> c1(F(z0, z1, g(g(y2)))) F(g(g(g(0))), 1, g(z2)) -> c1(F(g(g(0)), 1, g(z2))) F(g(g(g(g(y0)))), z1, g(z2)) -> c1(F(g(g(g(y0))), z1, g(z2))) F(g(g(g(y0))), z1, g(g(y2))) -> c1(F(g(g(y0)), z1, g(g(y2)))) F(g(g(g(g(g(y0))))), g(y1), g(z2)) -> c1(F(g(g(g(g(y0)))), g(y1), g(z2))) F(g(g(g(g(y0)))), g(g(y1)), g(z2)) -> c1(F(g(g(g(y0))), g(g(y1)), g(z2))) F(g(g(g(g(0)))), g(1), g(z2)) -> c1(F(g(g(g(0))), g(1), g(z2))) F(g(g(g(g(y0)))), g(y1), g(g(y2))) -> c1(F(g(g(g(y0))), g(y1), g(g(y2)))) F(g(g(0)), 1, g(g(y0))) -> c1(F(g(0), 1, g(g(y0)))) F(g(g(0)), 1, g(g(g(y0)))) -> c1(F(g(0), 1, g(g(g(y0))))) F(0, g(1), g(y0)) -> c2(F(0, 1, g(y0))) F(0, g(1), g(g(y2))) -> c2(F(0, 1, g(g(y2)))) F(0, g(1), g(g(g(y0)))) -> c2(F(0, 1, g(g(g(y0))))) F(z0, g(g(g(y1))), z2) -> c2(F(z0, g(g(y1)), z2)) F(z0, g(g(z1)), g(y2)) -> c2(F(z0, g(z1), g(y2))) F(g(0), g(g(1)), z2) -> c2(F(g(0), g(1), z2)) F(g(g(y0)), g(g(z1)), z2) -> c2(F(g(g(y0)), g(z1), z2)) F(g(y0), g(g(g(y1))), z2) -> c2(F(g(y0), g(g(y1)), z2)) F(g(y0), g(g(z1)), g(y2)) -> c2(F(g(y0), g(z1), g(y2))) F(z0, g(g(z1)), g(g(y2))) -> c2(F(z0, g(z1), g(g(y2)))) F(g(g(y0)), g(g(z1)), g(y2)) -> c2(F(g(g(y0)), g(z1), g(y2))) F(g(y0), g(g(z1)), g(g(y2))) -> c2(F(g(y0), g(z1), g(g(y2)))) F(0, g(g(1)), g(y0)) -> c2(F(0, g(1), g(y0))) F(z0, g(g(g(y1))), g(y2)) -> c2(F(z0, g(g(y1)), g(y2))) F(g(0), g(g(1)), g(y0)) -> c2(F(g(0), g(1), g(y0))) F(g(y0), g(g(g(y1))), g(y2)) -> c2(F(g(y0), g(g(y1)), g(y2))) F(g(g(g(y0))), g(g(z1)), z2) -> c2(F(g(g(g(y0))), g(z1), z2)) F(g(g(y0)), g(g(g(y1))), z2) -> c2(F(g(g(y0)), g(g(y1)), z2)) F(g(g(0)), g(g(1)), z2) -> c2(F(g(g(0)), g(1), z2)) F(g(g(y0)), g(g(z1)), g(g(y2))) -> c2(F(g(g(y0)), g(z1), g(g(y2)))) F(g(g(g(y0))), g(g(z1)), g(y2)) -> c2(F(g(g(g(y0))), g(z1), g(y2))) F(g(g(y0)), g(g(g(y1))), g(y2)) -> c2(F(g(g(y0)), g(g(y1)), g(y2))) F(g(g(0)), g(g(1)), g(y0)) -> c2(F(g(g(0)), g(1), g(y0))) F(g(g(g(g(y0)))), g(g(z1)), z2) -> c2(F(g(g(g(g(y0)))), g(z1), z2)) F(g(g(g(y0))), g(g(g(y1))), z2) -> c2(F(g(g(g(y0))), g(g(y1)), z2)) F(g(g(g(0))), g(g(1)), z2) -> c2(F(g(g(g(0))), g(1), z2)) F(g(g(g(y0))), g(g(z1)), g(g(y2))) -> c2(F(g(g(g(y0))), g(z1), g(g(y2)))) F(g(g(g(g(y0)))), g(g(z1)), g(y2)) -> c2(F(g(g(g(g(y0)))), g(z1), g(y2))) F(g(g(g(y0))), g(g(g(y1))), g(y2)) -> c2(F(g(g(g(y0))), g(g(y1)), g(y2))) F(g(g(g(0))), g(g(1)), g(y0)) -> c2(F(g(g(g(0))), g(1), g(y0))) F(g(g(g(g(g(y0))))), g(g(z1)), g(y2)) -> c2(F(g(g(g(g(g(y0))))), g(z1), g(y2))) F(g(g(g(g(y0)))), g(g(g(y1))), g(y2)) -> c2(F(g(g(g(g(y0)))), g(g(y1)), g(y2))) F(g(g(g(g(0)))), g(g(1)), g(y0)) -> c2(F(g(g(g(g(0)))), g(1), g(y0))) F(g(g(g(g(y0)))), g(g(z1)), g(g(y2))) -> c2(F(g(g(g(g(y0)))), g(z1), g(g(y2)))) F(0, g(g(1)), g(g(y0))) -> c2(F(0, g(1), g(g(y0)))) F(0, g(g(1)), g(g(g(y0)))) -> c2(F(0, g(1), g(g(g(y0))))) F(z0, g(z1), g(g(y2))) -> c2(F(z0, z1, g(g(y2)))) F(g(0), g(1), g(z2)) -> c2(F(g(0), 1, g(z2))) F(g(g(y0)), g(z1), g(z2)) -> c2(F(g(g(y0)), z1, g(z2))) F(g(y0), g(z1), g(g(y2))) -> c2(F(g(y0), z1, g(g(y2)))) F(g(g(0)), g(1), g(z2)) -> c2(F(g(g(0)), 1, g(z2))) F(g(g(g(y0))), g(z1), g(z2)) -> c2(F(g(g(g(y0))), z1, g(z2))) F(g(g(y0)), g(z1), g(g(y2))) -> c2(F(g(g(y0)), z1, g(g(y2)))) F(g(0), g(1), g(g(y0))) -> c2(F(g(0), 1, g(g(y0)))) F(g(0), g(1), g(g(g(y0)))) -> c2(F(g(0), 1, g(g(g(y0))))) F(g(g(g(0))), g(1), g(z2)) -> c2(F(g(g(g(0))), 1, g(z2))) F(g(g(g(g(y0)))), g(z1), g(z2)) -> c2(F(g(g(g(g(y0)))), z1, g(z2))) F(g(g(g(y0))), g(z1), g(g(y2))) -> c2(F(g(g(g(y0))), z1, g(g(y2)))) F(g(g(0)), g(1), g(g(y0))) -> c2(F(g(g(0)), 1, g(g(y0)))) F(g(g(0)), g(1), g(g(g(y0)))) -> c2(F(g(g(0)), 1, g(g(g(y0))))) F(z0, g(g(g(g(y1)))), g(z2)) -> c2(F(z0, g(g(g(y1))), g(z2))) F(g(0), g(g(g(1))), g(z2)) -> c2(F(g(0), g(g(1)), g(z2))) F(g(y0), g(g(g(g(y1)))), g(z2)) -> c2(F(g(y0), g(g(g(y1))), g(z2))) F(z0, g(g(g(y1))), g(g(y2))) -> c2(F(z0, g(g(y1)), g(g(y2)))) F(g(y0), g(g(g(y1))), g(g(y2))) -> c2(F(g(y0), g(g(y1)), g(g(y2)))) F(0, g(g(g(1))), g(z2)) -> c2(F(0, g(g(1)), g(z2))) F(g(g(y0)), g(g(g(g(y1)))), g(z2)) -> c2(F(g(g(y0)), g(g(g(y1))), g(z2))) F(g(g(0)), g(g(g(1))), g(z2)) -> c2(F(g(g(0)), g(g(1)), g(z2))) F(g(g(y0)), g(g(g(y1))), g(g(y2))) -> c2(F(g(g(y0)), g(g(y1)), g(g(y2)))) F(g(g(g(y0))), g(g(g(g(y1)))), g(z2)) -> c2(F(g(g(g(y0))), g(g(g(y1))), g(z2))) F(g(g(g(0))), g(g(g(1))), g(z2)) -> c2(F(g(g(g(0))), g(g(1)), g(z2))) F(g(g(g(y0))), g(g(g(y1))), g(g(y2))) -> c2(F(g(g(g(y0))), g(g(y1)), g(g(y2)))) F(g(g(g(g(g(y0))))), g(g(g(y1))), g(z2)) -> c2(F(g(g(g(g(g(y0))))), g(g(y1)), g(z2))) F(g(g(g(g(y0)))), g(g(g(g(y1)))), g(z2)) -> c2(F(g(g(g(g(y0)))), g(g(g(y1))), g(z2))) F(g(g(g(g(0)))), g(g(g(1))), g(z2)) -> c2(F(g(g(g(g(0)))), g(g(1)), g(z2))) F(g(g(g(g(y0)))), g(g(g(y1))), g(g(y2))) -> c2(F(g(g(g(g(y0)))), g(g(y1)), g(g(y2)))) F(0, g(g(g(1))), g(g(y0))) -> c2(F(0, g(g(1)), g(g(y0)))) F(0, g(g(g(1))), g(g(g(y0)))) -> c2(F(0, g(g(1)), g(g(g(y0))))) F(g(g(0)), g(1), z2) -> c2(F(g(g(0)), 1, z2)) F(g(g(g(y0))), g(z1), z2) -> c2(F(g(g(g(y0))), z1, z2)) F(g(g(z0)), g(g(g(g(y1)))), z2) -> c2(F(g(g(z0)), g(g(g(y1))), z2)) F(g(g(0)), g(g(g(1))), z2) -> c2(F(g(g(0)), g(g(1)), z2)) F(g(g(g(g(y0)))), g(g(g(y1))), z2) -> c2(F(g(g(g(g(y0)))), g(g(y1)), z2)) F(g(g(g(y0))), g(g(g(g(y1)))), z2) -> c2(F(g(g(g(y0))), g(g(g(y1))), z2)) F(g(g(g(0))), g(g(g(1))), z2) -> c2(F(g(g(g(0))), g(g(1)), z2)) F(g(g(0)), g(g(1)), g(g(y0))) -> c2(F(g(g(0)), g(1), g(g(y0)))) F(g(g(0)), g(g(1)), g(g(g(y0)))) -> c2(F(g(g(0)), g(1), g(g(g(y0))))) F(g(g(z0)), g(g(g(g(g(y1))))), g(y2)) -> c2(F(g(g(z0)), g(g(g(g(y1)))), g(y2))) F(g(g(z0)), g(g(g(g(y1)))), g(g(y2))) -> c2(F(g(g(z0)), g(g(g(y1))), g(g(y2)))) F(g(g(0)), g(g(g(g(1)))), g(y0)) -> c2(F(g(g(0)), g(g(g(1))), g(y0))) F(g(g(g(y0))), g(g(g(g(g(y1))))), g(y2)) -> c2(F(g(g(g(y0))), g(g(g(g(y1)))), g(y2))) F(g(g(g(0))), g(g(g(g(1)))), g(y0)) -> c2(F(g(g(g(0))), g(g(g(1))), g(y0))) F(g(g(g(y0))), g(g(g(g(y1)))), g(g(y2))) -> c2(F(g(g(g(y0))), g(g(g(y1))), g(g(y2)))) F(g(g(g(g(g(y0))))), g(g(g(g(y1)))), g(y2)) -> c2(F(g(g(g(g(g(y0))))), g(g(g(y1))), g(y2))) F(g(g(g(g(y0)))), g(g(g(g(g(y1))))), g(y2)) -> c2(F(g(g(g(g(y0)))), g(g(g(g(y1)))), g(y2))) F(g(g(g(g(0)))), g(g(g(g(1)))), g(y0)) -> c2(F(g(g(g(g(0)))), g(g(g(1))), g(y0))) F(g(g(g(g(y0)))), g(g(g(g(y1)))), g(g(y2))) -> c2(F(g(g(g(g(y0)))), g(g(g(y1))), g(g(y2)))) F(g(z0), g(g(g(g(y1)))), z2) -> c2(F(g(z0), g(g(g(y1))), z2)) F(g(0), g(g(g(1))), z2) -> c2(F(g(0), g(g(1)), z2)) F(g(0), g(g(1)), g(g(y0))) -> c2(F(g(0), g(1), g(g(y0)))) F(g(0), g(g(1)), g(g(g(y0)))) -> c2(F(g(0), g(1), g(g(g(y0))))) F(g(z0), g(g(g(g(g(y1))))), g(y2)) -> c2(F(g(z0), g(g(g(g(y1)))), g(y2))) F(g(0), g(g(g(g(1)))), g(y0)) -> c2(F(g(0), g(g(g(1))), g(y0))) F(g(z0), g(g(g(g(y1)))), g(g(y2))) -> c2(F(g(z0), g(g(g(y1))), g(g(y2)))) F(g(g(y0)), g(g(g(g(g(y1))))), z2) -> c2(F(g(g(y0)), g(g(g(g(y1)))), z2)) F(g(g(0)), g(g(g(g(1)))), z2) -> c2(F(g(g(0)), g(g(g(1))), z2)) F(g(g(g(g(y0)))), g(g(g(g(y1)))), z2) -> c2(F(g(g(g(g(y0)))), g(g(g(y1))), z2)) F(g(g(g(y0))), g(g(g(g(g(y1))))), z2) -> c2(F(g(g(g(y0))), g(g(g(g(y1)))), z2)) F(g(g(g(0))), g(g(g(g(1)))), z2) -> c2(F(g(g(g(0))), g(g(g(1))), z2)) F(g(g(0)), g(g(g(1))), g(g(y0))) -> c2(F(g(g(0)), g(g(1)), g(g(y0)))) F(g(g(0)), g(g(g(1))), g(g(g(y0)))) -> c2(F(g(g(0)), g(g(1)), g(g(g(y0))))) F(g(g(y0)), g(g(g(g(g(g(y1)))))), g(y2)) -> c2(F(g(g(y0)), g(g(g(g(g(y1))))), g(y2))) F(g(g(y0)), g(g(g(g(g(y1))))), g(g(y2))) -> c2(F(g(g(y0)), g(g(g(g(y1)))), g(g(y2)))) F(g(g(0)), g(g(g(g(g(1))))), g(y0)) -> c2(F(g(g(0)), g(g(g(g(1)))), g(y0))) F(g(g(g(y0))), g(g(g(g(g(g(y1)))))), g(y2)) -> c2(F(g(g(g(y0))), g(g(g(g(g(y1))))), g(y2))) F(g(g(g(0))), g(g(g(g(g(1))))), g(y0)) -> c2(F(g(g(g(0))), g(g(g(g(1)))), g(y0))) F(g(g(g(y0))), g(g(g(g(g(y1))))), g(g(y2))) -> c2(F(g(g(g(y0))), g(g(g(g(y1)))), g(g(y2)))) F(g(g(g(g(g(y0))))), g(g(g(g(g(y1))))), g(y2)) -> c2(F(g(g(g(g(g(y0))))), g(g(g(g(y1)))), g(y2))) F(g(g(g(g(y0)))), g(g(g(g(g(g(y1)))))), g(y2)) -> c2(F(g(g(g(g(y0)))), g(g(g(g(g(y1))))), g(y2))) F(g(g(g(g(0)))), g(g(g(g(g(1))))), g(y0)) -> c2(F(g(g(g(g(0)))), g(g(g(g(1)))), g(y0))) F(g(g(g(g(y0)))), g(g(g(g(g(y1))))), g(g(y2))) -> c2(F(g(g(g(g(y0)))), g(g(g(g(y1)))), g(g(y2)))) F(g(0), g(g(g(1))), g(g(y0))) -> c2(F(g(0), g(g(1)), g(g(y0)))) F(g(0), g(g(g(1))), g(g(g(y0)))) -> c2(F(g(0), g(g(1)), g(g(g(y0))))) F(g(z0), g(g(g(g(g(g(y1)))))), g(z2)) -> c2(F(g(z0), g(g(g(g(g(y1))))), g(z2))) F(g(0), g(g(g(g(g(1))))), g(z2)) -> c2(F(g(0), g(g(g(g(1)))), g(z2))) F(g(z0), g(g(g(g(g(y1))))), g(g(y2))) -> c2(F(g(z0), g(g(g(g(y1)))), g(g(y2)))) F(g(g(0)), g(g(g(g(1)))), g(g(y0))) -> c2(F(g(g(0)), g(g(g(1))), g(g(y0)))) F(g(g(0)), g(g(g(g(1)))), g(g(g(y0)))) -> c2(F(g(g(0)), g(g(g(1))), g(g(g(y0))))) F(g(g(y0)), g(g(g(g(g(g(g(y1))))))), g(z2)) -> c2(F(g(g(y0)), g(g(g(g(g(g(y1)))))), g(z2))) F(g(g(y0)), g(g(g(g(g(g(y1)))))), g(g(y2))) -> c2(F(g(g(y0)), g(g(g(g(g(y1))))), g(g(y2)))) F(g(g(0)), g(g(g(g(g(g(1)))))), g(z2)) -> c2(F(g(g(0)), g(g(g(g(g(1))))), g(z2))) F(g(g(g(y0))), g(g(g(g(g(g(g(y1))))))), g(z2)) -> c2(F(g(g(g(y0))), g(g(g(g(g(g(y1)))))), g(z2))) F(g(g(g(0))), g(g(g(g(g(g(1)))))), g(z2)) -> c2(F(g(g(g(0))), g(g(g(g(g(1))))), g(z2))) F(g(g(g(y0))), g(g(g(g(g(g(y1)))))), g(g(y2))) -> c2(F(g(g(g(y0))), g(g(g(g(g(y1))))), g(g(y2)))) F(g(g(g(g(g(y0))))), g(g(g(g(g(g(y1)))))), g(z2)) -> c2(F(g(g(g(g(g(y0))))), g(g(g(g(g(y1))))), g(z2))) F(g(g(g(g(y0)))), g(g(g(g(g(g(g(y1))))))), g(z2)) -> c2(F(g(g(g(g(y0)))), g(g(g(g(g(g(y1)))))), g(z2))) F(g(g(g(g(0)))), g(g(g(g(g(g(1)))))), g(z2)) -> c2(F(g(g(g(g(0)))), g(g(g(g(g(1))))), g(z2))) F(g(g(g(g(y0)))), g(g(g(g(g(g(y1)))))), g(g(y2))) -> c2(F(g(g(g(g(y0)))), g(g(g(g(g(y1))))), g(g(y2)))) K tuples: F(g(y0), z1, g(g(y2))) -> c3(F(g(y0), z1, g(y2))) F(0, g(1), g(z2)) -> c3(F(0, g(1), z2)) F(z0, g(g(y1)), g(z2)) -> c3(F(z0, g(g(y1)), z2)) F(z0, g(y1), g(g(y2))) -> c3(F(z0, g(y1), g(y2))) F(g(0), g(1), g(z2)) -> c3(F(g(0), g(1), z2)) F(g(g(y0)), g(y1), g(z2)) -> c3(F(g(g(y0)), g(y1), z2)) F(g(y0), g(g(y1)), g(z2)) -> c3(F(g(y0), g(g(y1)), z2)) F(g(y0), g(y1), g(g(y2))) -> c3(F(g(y0), g(y1), g(y2))) F(0, 1, g(g(y0))) -> c3(F(0, 1, g(y0))) F(0, 1, g(g(g(y2)))) -> c3(F(0, 1, g(g(y2)))) F(0, 1, g(g(g(g(y0))))) -> c3(F(0, 1, g(g(g(y0))))) F(z0, z1, g(g(g(y2)))) -> c3(F(z0, z1, g(g(y2)))) F(g(0), 1, g(g(z2))) -> c3(F(g(0), 1, g(z2))) F(g(g(y0)), z1, g(g(z2))) -> c3(F(g(g(y0)), z1, g(z2))) F(g(y0), z1, g(g(g(y2)))) -> c3(F(g(y0), z1, g(g(y2)))) F(0, g(1), g(g(z2))) -> c3(F(0, g(1), g(z2))) F(z0, g(g(y1)), g(g(z2))) -> c3(F(z0, g(g(y1)), g(z2))) F(z0, g(y1), g(g(g(y2)))) -> c3(F(z0, g(y1), g(g(y2)))) F(g(0), g(1), g(g(z2))) -> c3(F(g(0), g(1), g(z2))) F(g(g(y0)), g(y1), g(g(z2))) -> c3(F(g(g(y0)), g(y1), g(z2))) F(g(y0), g(g(y1)), g(g(z2))) -> c3(F(g(y0), g(g(y1)), g(z2))) F(g(y0), g(y1), g(g(g(y2)))) -> c3(F(g(y0), g(y1), g(g(y2)))) F(g(g(0)), 1, g(g(z2))) -> c3(F(g(g(0)), 1, g(z2))) F(g(g(g(y0))), z1, g(g(z2))) -> c3(F(g(g(g(y0))), z1, g(z2))) F(g(g(y0)), g(g(y1)), g(g(z2))) -> c3(F(g(g(y0)), g(g(y1)), g(z2))) F(g(g(0)), g(1), g(g(z2))) -> c3(F(g(g(0)), g(1), g(z2))) F(g(g(g(y0))), g(y1), g(g(z2))) -> c3(F(g(g(g(y0))), g(y1), g(z2))) F(g(g(y0)), z1, g(g(g(y2)))) -> c3(F(g(g(y0)), z1, g(g(y2)))) F(g(g(y0)), g(y1), g(g(g(y2)))) -> c3(F(g(g(y0)), g(y1), g(g(y2)))) F(g(g(g(g(y0)))), g(y1), g(g(z2))) -> c3(F(g(g(g(g(y0)))), g(y1), g(z2))) F(g(g(g(y0))), g(g(y1)), g(g(z2))) -> c3(F(g(g(g(y0))), g(g(y1)), g(z2))) F(g(g(g(0))), g(1), g(g(z2))) -> c3(F(g(g(g(0))), g(1), g(z2))) F(g(g(g(y0))), g(y1), g(g(g(y2)))) -> c3(F(g(g(g(y0))), g(y1), g(g(y2)))) F(g(0), 1, g(g(g(y0)))) -> c3(F(g(0), 1, g(g(y0)))) F(g(0), 1, g(g(g(g(y0))))) -> c3(F(g(0), 1, g(g(g(y0))))) F(g(g(g(0))), 1, g(g(z2))) -> c3(F(g(g(g(0))), 1, g(z2))) F(g(g(g(g(y0)))), z1, g(g(z2))) -> c3(F(g(g(g(g(y0)))), z1, g(z2))) F(g(g(g(y0))), z1, g(g(g(y2)))) -> c3(F(g(g(g(y0))), z1, g(g(y2)))) F(g(g(g(g(g(y0))))), g(y1), g(g(z2))) -> c3(F(g(g(g(g(g(y0))))), g(y1), g(z2))) F(g(g(g(g(y0)))), g(g(y1)), g(g(z2))) -> c3(F(g(g(g(g(y0)))), g(g(y1)), g(z2))) F(g(g(g(g(0)))), g(1), g(g(z2))) -> c3(F(g(g(g(g(0)))), g(1), g(z2))) F(g(g(g(g(y0)))), g(y1), g(g(g(y2)))) -> c3(F(g(g(g(g(y0)))), g(y1), g(g(y2)))) F(g(g(0)), 1, g(g(g(y0)))) -> c3(F(g(g(0)), 1, g(g(y0)))) F(g(g(0)), 1, g(g(g(g(y0))))) -> c3(F(g(g(0)), 1, g(g(g(y0))))) F(0, g(1), g(g(g(y0)))) -> c3(F(0, g(1), g(g(y0)))) F(0, g(1), g(g(g(g(y0))))) -> c3(F(0, g(1), g(g(g(y0))))) F(z0, g(g(g(y1))), g(g(z2))) -> c3(F(z0, g(g(g(y1))), g(z2))) F(g(0), g(g(1)), g(g(z2))) -> c3(F(g(0), g(g(1)), g(z2))) F(g(y0), g(g(g(y1))), g(g(z2))) -> c3(F(g(y0), g(g(g(y1))), g(z2))) F(z0, g(g(y1)), g(g(g(y2)))) -> c3(F(z0, g(g(y1)), g(g(y2)))) F(g(y0), g(g(y1)), g(g(g(y2)))) -> c3(F(g(y0), g(g(y1)), g(g(y2)))) F(0, g(g(1)), g(g(z2))) -> c3(F(0, g(g(1)), g(z2))) F(g(g(y0)), g(g(g(y1))), g(g(z2))) -> c3(F(g(g(y0)), g(g(g(y1))), g(z2))) F(g(g(0)), g(g(1)), g(g(z2))) -> c3(F(g(g(0)), g(g(1)), g(z2))) F(g(g(y0)), g(g(y1)), g(g(g(y2)))) -> c3(F(g(g(y0)), g(g(y1)), g(g(y2)))) F(g(g(g(y0))), g(g(g(y1))), g(g(z2))) -> c3(F(g(g(g(y0))), g(g(g(y1))), g(z2))) F(g(g(g(0))), g(g(1)), g(g(z2))) -> c3(F(g(g(g(0))), g(g(1)), g(z2))) F(g(g(g(y0))), g(g(y1)), g(g(g(y2)))) -> c3(F(g(g(g(y0))), g(g(y1)), g(g(y2)))) F(g(g(g(g(g(y0))))), 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-> c3(F(g(y0), g(g(g(y1))), g(g(y2)))) F(0, g(g(g(1))), g(g(z2))) -> c3(F(0, g(g(g(1))), g(z2))) F(g(g(y0)), g(g(g(g(y1)))), g(g(z2))) -> c3(F(g(g(y0)), g(g(g(g(y1)))), g(z2))) F(g(g(0)), g(g(g(1))), g(g(z2))) -> c3(F(g(g(0)), g(g(g(1))), g(z2))) F(g(g(y0)), g(g(g(y1))), g(g(g(y2)))) -> c3(F(g(g(y0)), g(g(g(y1))), g(g(y2)))) F(g(g(g(y0))), g(g(g(g(y1)))), g(g(z2))) -> c3(F(g(g(g(y0))), g(g(g(g(y1)))), g(z2))) F(g(g(g(0))), g(g(g(1))), g(g(z2))) -> c3(F(g(g(g(0))), g(g(g(1))), g(z2))) F(g(g(g(y0))), g(g(g(y1))), g(g(g(y2)))) -> c3(F(g(g(g(y0))), g(g(g(y1))), g(g(y2)))) F(g(g(g(g(g(y0))))), g(g(g(y1))), g(g(z2))) -> c3(F(g(g(g(g(g(y0))))), g(g(g(y1))), g(z2))) F(g(g(g(g(y0)))), g(g(g(g(y1)))), g(g(z2))) -> c3(F(g(g(g(g(y0)))), g(g(g(g(y1)))), g(z2))) F(g(g(g(g(0)))), g(g(g(1))), g(g(z2))) -> c3(F(g(g(g(g(0)))), g(g(g(1))), g(z2))) F(g(g(g(g(y0)))), g(g(g(y1))), g(g(g(y2)))) -> c3(F(g(g(g(g(y0)))), g(g(g(y1))), g(g(y2)))) F(0, g(g(g(1))), g(g(g(y0)))) -> c3(F(0, g(g(g(1))), g(g(y0)))) F(0, g(g(g(1))), g(g(g(g(y0))))) -> c3(F(0, g(g(g(1))), g(g(g(y0))))) F(g(g(0)), g(g(1)), g(g(g(y0)))) -> c3(F(g(g(0)), g(g(1)), g(g(y0)))) F(g(g(0)), g(g(1)), g(g(g(g(y0))))) -> c3(F(g(g(0)), g(g(1)), g(g(g(y0))))) F(g(g(y0)), g(g(g(g(g(y1))))), g(g(z2))) -> c3(F(g(g(y0)), g(g(g(g(g(y1))))), g(z2))) F(g(g(y0)), g(g(g(g(y1)))), g(g(g(y2)))) -> c3(F(g(g(y0)), g(g(g(g(y1)))), g(g(y2)))) F(g(g(0)), g(g(g(g(1)))), g(g(z2))) -> c3(F(g(g(0)), g(g(g(g(1)))), g(z2))) F(g(g(g(y0))), g(g(g(g(g(y1))))), g(g(z2))) -> c3(F(g(g(g(y0))), g(g(g(g(g(y1))))), g(z2))) F(g(g(g(0))), g(g(g(g(1)))), g(g(z2))) -> c3(F(g(g(g(0))), g(g(g(g(1)))), g(z2))) F(g(g(g(y0))), g(g(g(g(y1)))), g(g(g(y2)))) -> c3(F(g(g(g(y0))), g(g(g(g(y1)))), g(g(y2)))) F(g(g(g(g(g(y0))))), g(g(g(g(y1)))), g(g(z2))) -> c3(F(g(g(g(g(g(y0))))), g(g(g(g(y1)))), g(z2))) F(g(g(g(g(y0)))), g(g(g(g(g(y1))))), g(g(z2))) -> c3(F(g(g(g(g(y0)))), g(g(g(g(g(y1))))), g(z2))) F(g(g(g(g(0)))), g(g(g(g(1)))), g(g(z2))) -> c3(F(g(g(g(g(0)))), 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g(g(g(g(g(g(1)))))), g(g(z2))) -> c3(F(g(g(g(g(0)))), g(g(g(g(g(g(1)))))), g(z2))) F(g(g(g(g(y0)))), g(g(g(g(g(g(y1)))))), g(g(g(y2)))) -> c3(F(g(g(g(g(y0)))), g(g(g(g(g(g(y1)))))), g(g(y2)))) F(0, 1, g(g(g(g(g(y0)))))) -> c3(F(0, 1, g(g(g(g(y0)))))) F(g(0), 1, g(g(g(g(g(y0)))))) -> c3(F(g(0), 1, g(g(g(g(y0)))))) F(g(g(0)), 1, g(z2)) -> c3(F(g(g(0)), 1, z2)) F(g(g(g(y0))), z1, g(z2)) -> c3(F(g(g(g(y0))), z1, z2)) F(g(g(z0)), g(g(y1)), g(z2)) -> c3(F(g(g(z0)), g(g(y1)), z2)) F(g(g(0)), g(1), g(z2)) -> c3(F(g(g(0)), g(1), z2)) F(g(g(g(y0))), g(y1), g(z2)) -> c3(F(g(g(g(y0))), g(y1), z2)) F(g(g(g(g(y0)))), g(y1), g(z2)) -> c3(F(g(g(g(g(y0)))), g(y1), z2)) F(g(g(g(y0))), g(g(y1)), g(z2)) -> c3(F(g(g(g(y0))), g(g(y1)), z2)) F(g(g(g(0))), g(1), g(z2)) -> c3(F(g(g(g(0))), g(1), z2)) F(g(g(z0)), g(g(g(y1))), g(z2)) -> c3(F(g(g(z0)), g(g(g(y1))), z2)) F(g(g(0)), g(g(1)), g(z2)) -> c3(F(g(g(0)), g(g(1)), z2)) F(g(g(g(g(y0)))), g(g(y1)), g(z2)) -> c3(F(g(g(g(g(y0)))), g(g(y1)), z2)) F(g(g(g(y0))), g(g(g(y1))), g(z2)) -> c3(F(g(g(g(y0))), g(g(g(y1))), z2)) F(g(g(g(0))), g(g(1)), g(z2)) -> c3(F(g(g(g(0))), g(g(1)), z2)) F(g(g(z0)), g(g(g(g(y1)))), g(z2)) -> c3(F(g(g(z0)), g(g(g(g(y1)))), z2)) F(g(g(0)), g(g(g(1))), g(z2)) -> c3(F(g(g(0)), g(g(g(1))), z2)) F(g(g(g(g(y0)))), g(g(g(y1))), g(z2)) -> c3(F(g(g(g(g(y0)))), g(g(g(y1))), z2)) F(g(g(g(y0))), g(g(g(g(y1)))), g(z2)) -> c3(F(g(g(g(y0))), g(g(g(g(y1)))), z2)) F(g(g(g(0))), g(g(g(1))), g(z2)) -> c3(F(g(g(g(0))), g(g(g(1))), z2)) F(g(g(z0)), g(g(g(g(g(y1))))), g(z2)) -> c3(F(g(g(z0)), g(g(g(g(g(y1))))), z2)) F(g(g(0)), g(g(g(g(1)))), g(z2)) -> c3(F(g(g(0)), g(g(g(g(1)))), z2)) F(g(g(g(g(y0)))), g(g(g(g(y1)))), g(z2)) -> c3(F(g(g(g(g(y0)))), g(g(g(g(y1)))), z2)) F(g(g(g(y0))), g(g(g(g(g(y1))))), g(z2)) -> c3(F(g(g(g(y0))), g(g(g(g(g(y1))))), z2)) F(g(g(g(0))), g(g(g(g(1)))), g(z2)) -> c3(F(g(g(g(0))), g(g(g(g(1)))), z2)) F(g(g(z0)), z1, g(g(g(g(y2))))) -> c3(F(g(g(z0)), z1, g(g(g(y2))))) F(g(g(z0)), g(y1), g(g(g(g(y2))))) -> c3(F(g(g(z0)), g(y1), g(g(g(y2))))) F(g(g(g(0))), g(1), g(g(g(y0)))) -> c3(F(g(g(g(0))), g(1), g(g(y0)))) F(g(g(g(y0))), g(y1), g(g(g(g(y2))))) -> c3(F(g(g(g(y0))), g(y1), g(g(g(y2))))) F(g(g(g(0))), 1, g(g(g(y0)))) -> c3(F(g(g(g(0))), 1, g(g(y0)))) F(g(g(g(g(y0)))), z1, g(g(g(y2)))) -> c3(F(g(g(g(g(y0)))), z1, g(g(y2)))) F(g(g(g(y0))), z1, g(g(g(g(y2))))) -> c3(F(g(g(g(y0))), z1, g(g(g(y2))))) F(g(g(g(g(g(y0))))), g(y1), g(g(g(y2)))) -> c3(F(g(g(g(g(g(y0))))), g(y1), g(g(y2)))) F(g(g(g(g(0)))), g(1), g(g(g(y0)))) -> c3(F(g(g(g(g(0)))), g(1), g(g(y0)))) F(g(g(g(g(y0)))), g(y1), g(g(g(g(y2))))) -> c3(F(g(g(g(g(y0)))), g(y1), g(g(g(y2))))) F(g(g(0)), 1, g(g(g(g(g(y0)))))) -> c3(F(g(g(0)), 1, g(g(g(g(y0)))))) F(g(g(z0)), g(g(y1)), g(g(g(g(y2))))) -> c3(F(g(g(z0)), g(g(y1)), g(g(g(y2))))) F(g(g(g(0))), g(g(1)), g(g(g(y0)))) -> c3(F(g(g(g(0))), g(g(1)), g(g(y0)))) F(g(g(g(y0))), g(g(y1)), g(g(g(g(y2))))) -> c3(F(g(g(g(y0))), g(g(y1)), g(g(g(y2))))) F(g(g(g(g(g(y0))))), g(g(y1)), g(g(g(y2)))) -> c3(F(g(g(g(g(g(y0))))), g(g(y1)), g(g(y2)))) F(g(g(g(g(0)))), g(g(1)), g(g(g(y0)))) -> c3(F(g(g(g(g(0)))), g(g(1)), g(g(y0)))) F(g(g(g(g(y0)))), g(g(y1)), g(g(g(g(y2))))) -> c3(F(g(g(g(g(y0)))), g(g(y1)), g(g(g(y2))))) F(g(g(0)), g(1), g(g(g(g(g(y0)))))) -> c3(F(g(g(0)), g(1), g(g(g(g(y0)))))) F(g(g(z0)), g(g(g(y1))), g(g(g(g(y2))))) -> c3(F(g(g(z0)), g(g(g(y1))), g(g(g(y2))))) F(g(g(g(0))), g(g(g(1))), g(g(g(y0)))) -> c3(F(g(g(g(0))), g(g(g(1))), g(g(y0)))) F(g(g(g(y0))), g(g(g(y1))), g(g(g(g(y2))))) -> c3(F(g(g(g(y0))), g(g(g(y1))), g(g(g(y2))))) F(g(g(g(g(g(y0))))), g(g(g(y1))), g(g(g(y2)))) -> c3(F(g(g(g(g(g(y0))))), g(g(g(y1))), g(g(y2)))) F(g(g(g(g(0)))), g(g(g(1))), g(g(g(y0)))) -> c3(F(g(g(g(g(0)))), g(g(g(1))), g(g(y0)))) F(g(g(g(g(y0)))), g(g(g(y1))), g(g(g(g(y2))))) -> c3(F(g(g(g(g(y0)))), g(g(g(y1))), g(g(g(y2))))) F(g(g(0)), g(g(1)), g(g(g(g(g(y0)))))) -> c3(F(g(g(0)), g(g(1)), g(g(g(g(y0)))))) F(g(g(z0)), g(g(g(g(y1)))), g(g(g(g(y2))))) -> 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g(g(g(y2))))) F(g(g(g(g(g(y0))))), g(g(g(g(g(y1))))), g(g(g(y2)))) -> c3(F(g(g(g(g(g(y0))))), g(g(g(g(g(y1))))), g(g(y2)))) F(g(g(g(g(0)))), g(g(g(g(g(1))))), g(g(g(y0)))) -> c3(F(g(g(g(g(0)))), g(g(g(g(g(1))))), g(g(y0)))) F(g(g(g(g(y0)))), g(g(g(g(g(y1))))), g(g(g(g(y2))))) -> c3(F(g(g(g(g(y0)))), g(g(g(g(g(y1))))), g(g(g(y2))))) F(g(g(0)), g(g(g(g(1)))), g(g(g(g(g(y0)))))) -> c3(F(g(g(0)), g(g(g(g(1)))), g(g(g(g(y0)))))) F(g(g(z0)), g(g(g(g(g(g(g(y1))))))), g(g(g(y2)))) -> c3(F(g(g(z0)), g(g(g(g(g(g(g(y1))))))), g(g(y2)))) F(g(g(z0)), g(g(g(g(g(g(y1)))))), g(g(g(g(y2))))) -> c3(F(g(g(z0)), g(g(g(g(g(g(y1)))))), g(g(g(y2))))) F(g(g(0)), g(g(g(g(g(g(1)))))), g(g(g(y0)))) -> c3(F(g(g(0)), g(g(g(g(g(g(1)))))), g(g(y0)))) F(g(g(g(y0))), g(g(g(g(g(g(g(y1))))))), g(g(g(y2)))) -> c3(F(g(g(g(y0))), g(g(g(g(g(g(g(y1))))))), g(g(y2)))) F(g(g(g(0))), g(g(g(g(g(g(1)))))), g(g(g(y0)))) -> c3(F(g(g(g(0))), g(g(g(g(g(g(1)))))), g(g(y0)))) F(g(g(g(y0))), g(g(g(g(g(g(y1)))))), g(g(g(g(y2))))) -> c3(F(g(g(g(y0))), g(g(g(g(g(g(y1)))))), g(g(g(y2))))) F(g(g(g(g(g(y0))))), g(g(g(g(g(g(y1)))))), g(g(g(y2)))) -> c3(F(g(g(g(g(g(y0))))), g(g(g(g(g(g(y1)))))), g(g(y2)))) F(g(g(g(g(y0)))), g(g(g(g(g(g(g(y1))))))), g(g(g(y2)))) -> c3(F(g(g(g(g(y0)))), g(g(g(g(g(g(g(y1))))))), g(g(y2)))) F(g(g(g(g(0)))), g(g(g(g(g(g(1)))))), g(g(g(y0)))) -> c3(F(g(g(g(g(0)))), g(g(g(g(g(g(1)))))), g(g(y0)))) F(g(g(g(g(y0)))), g(g(g(g(g(g(y1)))))), g(g(g(g(y2))))) -> c3(F(g(g(g(g(y0)))), g(g(g(g(g(g(y1)))))), g(g(g(y2))))) F(g(z0), g(g(g(y1))), g(z2)) -> c3(F(g(z0), g(g(g(y1))), z2)) F(g(0), g(g(1)), g(z2)) -> c3(F(g(0), g(g(1)), z2)) F(g(z0), g(g(g(g(y1)))), g(z2)) -> c3(F(g(z0), g(g(g(g(y1)))), z2)) F(g(0), g(g(g(1))), g(z2)) -> c3(F(g(0), g(g(g(1))), z2)) F(g(z0), g(z1), g(g(g(g(y2))))) -> c3(F(g(z0), g(z1), g(g(g(y2))))) F(g(z0), g(g(y1)), g(g(g(g(y2))))) -> c3(F(g(z0), g(g(y1)), g(g(g(y2))))) F(g(0), g(1), g(g(g(g(g(y0)))))) -> c3(F(g(0), g(1), g(g(g(g(y0)))))) F(g(z0), g(g(g(y1))), g(g(g(g(y2))))) -> c3(F(g(z0), g(g(g(y1))), g(g(g(y2))))) F(g(0), g(g(1)), g(g(g(g(g(y0)))))) -> c3(F(g(0), g(g(1)), g(g(g(g(y0)))))) F(g(0), g(g(g(g(1)))), g(g(g(y0)))) -> c3(F(g(0), g(g(g(g(1)))), g(g(y0)))) F(g(z0), g(g(g(g(y1)))), g(g(g(g(y2))))) -> c3(F(g(z0), g(g(g(g(y1)))), g(g(g(y2))))) F(g(0), g(g(g(1))), g(g(g(g(g(y0)))))) -> c3(F(g(0), g(g(g(1))), g(g(g(g(y0)))))) F(g(z0), g(g(g(g(g(g(y1)))))), g(g(g(y2)))) -> c3(F(g(z0), g(g(g(g(g(g(y1)))))), g(g(y2)))) F(g(0), g(g(g(g(g(1))))), g(g(g(y0)))) -> c3(F(g(0), g(g(g(g(g(1))))), g(g(y0)))) F(g(z0), g(g(g(g(g(y1))))), g(g(g(g(y2))))) -> c3(F(g(z0), g(g(g(g(g(y1))))), g(g(g(y2))))) F(g(g(y0)), g(z1), g(g(g(g(g(y2)))))) -> c3(F(g(g(y0)), g(z1), g(g(g(g(y2)))))) F(g(g(g(0))), g(1), g(g(g(g(y0))))) -> c3(F(g(g(g(0))), g(1), g(g(g(y0))))) F(g(g(g(y0))), g(z1), g(g(g(g(g(y2)))))) -> c3(F(g(g(g(y0))), g(z1), g(g(g(g(y2)))))) F(g(g(g(g(g(y0))))), g(z1), g(g(g(g(y2))))) -> c3(F(g(g(g(g(g(y0))))), g(z1), g(g(g(y2))))) F(g(g(g(g(0)))), g(1), g(g(g(g(y0))))) -> c3(F(g(g(g(g(0)))), g(1), g(g(g(y0))))) F(g(g(g(g(y0)))), g(z1), g(g(g(g(g(y2)))))) -> c3(F(g(g(g(g(y0)))), g(z1), g(g(g(g(y2)))))) F(g(g(y0)), g(g(y1)), g(g(g(g(g(y2)))))) -> c3(F(g(g(y0)), g(g(y1)), g(g(g(g(y2)))))) F(g(g(g(0))), g(g(1)), g(g(g(g(y0))))) -> c3(F(g(g(g(0))), g(g(1)), g(g(g(y0))))) F(g(g(g(y0))), g(g(y1)), g(g(g(g(g(y2)))))) -> c3(F(g(g(g(y0))), g(g(y1)), g(g(g(g(y2)))))) F(g(g(g(g(g(y0))))), g(g(y1)), g(g(g(g(y2))))) -> c3(F(g(g(g(g(g(y0))))), g(g(y1)), g(g(g(y2))))) F(g(g(g(g(0)))), g(g(1)), g(g(g(g(y0))))) -> c3(F(g(g(g(g(0)))), g(g(1)), g(g(g(y0))))) F(g(g(g(g(y0)))), g(g(y1)), g(g(g(g(g(y2)))))) -> c3(F(g(g(g(g(y0)))), g(g(y1)), g(g(g(g(y2)))))) F(g(g(0)), g(1), g(g(g(g(g(g(y0))))))) -> c3(F(g(g(0)), g(1), g(g(g(g(g(y0))))))) F(g(g(y0)), g(g(g(y1))), g(g(g(g(g(y2)))))) -> c3(F(g(g(y0)), g(g(g(y1))), g(g(g(g(y2)))))) F(g(g(g(0))), g(g(g(1))), g(g(g(g(y0))))) -> c3(F(g(g(g(0))), g(g(g(1))), g(g(g(y0))))) F(g(g(g(y0))), g(g(g(y1))), g(g(g(g(g(y2)))))) -> c3(F(g(g(g(y0))), g(g(g(y1))), g(g(g(g(y2)))))) F(g(g(g(g(g(y0))))), g(g(g(y1))), g(g(g(g(y2))))) -> c3(F(g(g(g(g(g(y0))))), g(g(g(y1))), g(g(g(y2))))) F(g(g(g(g(0)))), g(g(g(1))), g(g(g(g(y0))))) -> c3(F(g(g(g(g(0)))), g(g(g(1))), g(g(g(y0))))) F(g(g(g(g(y0)))), g(g(g(y1))), g(g(g(g(g(y2)))))) -> c3(F(g(g(g(g(y0)))), g(g(g(y1))), g(g(g(g(y2)))))) F(g(g(0)), g(g(1)), g(g(g(g(g(g(y0))))))) -> c3(F(g(g(0)), g(g(1)), g(g(g(g(g(y0))))))) F(g(g(y0)), g(g(g(g(y1)))), g(g(g(g(g(y2)))))) -> c3(F(g(g(y0)), g(g(g(g(y1)))), g(g(g(g(y2)))))) F(g(g(g(0))), g(g(g(g(1)))), g(g(g(g(y0))))) -> c3(F(g(g(g(0))), g(g(g(g(1)))), g(g(g(y0))))) F(g(g(g(y0))), g(g(g(g(y1)))), g(g(g(g(g(y2)))))) -> c3(F(g(g(g(y0))), g(g(g(g(y1)))), g(g(g(g(y2)))))) F(g(g(g(g(g(y0))))), g(g(g(g(y1)))), g(g(g(g(y2))))) -> c3(F(g(g(g(g(g(y0))))), g(g(g(g(y1)))), g(g(g(y2))))) F(g(g(g(g(0)))), g(g(g(g(1)))), g(g(g(g(y0))))) -> c3(F(g(g(g(g(0)))), g(g(g(g(1)))), g(g(g(y0))))) F(g(g(g(g(y0)))), g(g(g(g(y1)))), g(g(g(g(g(y2)))))) -> c3(F(g(g(g(g(y0)))), g(g(g(g(y1)))), g(g(g(g(y2)))))) F(g(g(0)), g(g(g(1))), g(g(g(g(g(g(y0))))))) -> c3(F(g(g(0)), g(g(g(1))), g(g(g(g(g(y0))))))) F(g(g(y0)), g(g(g(g(g(y1))))), g(g(g(g(g(y2)))))) -> c3(F(g(g(y0)), g(g(g(g(g(y1))))), g(g(g(g(y2)))))) F(g(g(0)), g(g(g(g(g(1))))), g(g(g(g(y0))))) -> c3(F(g(g(0)), g(g(g(g(g(1))))), g(g(g(y0))))) F(g(g(g(0))), g(g(g(g(g(1))))), g(g(g(g(y0))))) -> c3(F(g(g(g(0))), g(g(g(g(g(1))))), g(g(g(y0))))) F(g(g(g(y0))), g(g(g(g(g(y1))))), g(g(g(g(g(y2)))))) -> c3(F(g(g(g(y0))), g(g(g(g(g(y1))))), g(g(g(g(y2)))))) F(g(g(g(g(g(y0))))), g(g(g(g(g(y1))))), g(g(g(g(y2))))) -> c3(F(g(g(g(g(g(y0))))), g(g(g(g(g(y1))))), g(g(g(y2))))) F(g(g(g(g(0)))), g(g(g(g(g(1))))), g(g(g(g(y0))))) -> c3(F(g(g(g(g(0)))), g(g(g(g(g(1))))), g(g(g(y0))))) F(g(g(g(g(y0)))), g(g(g(g(g(y1))))), g(g(g(g(g(y2)))))) -> c3(F(g(g(g(g(y0)))), g(g(g(g(g(y1))))), g(g(g(g(y2)))))) F(g(g(0)), g(g(g(g(1)))), g(g(g(g(g(g(y0))))))) -> c3(F(g(g(0)), g(g(g(g(1)))), g(g(g(g(g(y0))))))) F(g(g(y0)), g(g(g(g(g(g(g(y1))))))), g(g(g(g(y2))))) -> c3(F(g(g(y0)), g(g(g(g(g(g(g(y1))))))), g(g(g(y2))))) F(g(g(y0)), g(g(g(g(g(g(y1)))))), g(g(g(g(g(y2)))))) -> c3(F(g(g(y0)), g(g(g(g(g(g(y1)))))), g(g(g(g(y2)))))) F(g(g(0)), g(g(g(g(g(g(1)))))), g(g(g(g(y0))))) -> c3(F(g(g(0)), g(g(g(g(g(g(1)))))), g(g(g(y0))))) F(g(g(g(y0))), g(g(g(g(g(g(g(y1))))))), g(g(g(g(y2))))) -> c3(F(g(g(g(y0))), g(g(g(g(g(g(g(y1))))))), g(g(g(y2))))) F(g(g(g(0))), g(g(g(g(g(g(1)))))), g(g(g(g(y0))))) -> c3(F(g(g(g(0))), g(g(g(g(g(g(1)))))), g(g(g(y0))))) F(g(g(g(y0))), g(g(g(g(g(g(y1)))))), g(g(g(g(g(y2)))))) -> c3(F(g(g(g(y0))), g(g(g(g(g(g(y1)))))), g(g(g(g(y2)))))) F(g(g(g(g(g(y0))))), g(g(g(g(g(g(y1)))))), g(g(g(g(y2))))) -> c3(F(g(g(g(g(g(y0))))), g(g(g(g(g(g(y1)))))), g(g(g(y2))))) F(g(g(g(g(y0)))), g(g(g(g(g(g(g(y1))))))), g(g(g(g(y2))))) -> c3(F(g(g(g(g(y0)))), g(g(g(g(g(g(g(y1))))))), g(g(g(y2))))) F(g(g(g(g(0)))), g(g(g(g(g(g(1)))))), g(g(g(g(y0))))) -> c3(F(g(g(g(g(0)))), g(g(g(g(g(g(1)))))), g(g(g(y0))))) F(g(g(g(g(y0)))), g(g(g(g(g(g(y1)))))), g(g(g(g(g(y2)))))) -> c3(F(g(g(g(g(y0)))), g(g(g(g(g(g(y1)))))), g(g(g(g(y2)))))) Defined Rule Symbols:none Defined Pair Symbols: F_3 Compound Symbols: c3_1, c1_1, c_1, c2_1 ---------------------------------------- (75) CdtForwardInstantiationProof (BOTH BOUNDS(ID, ID)) Use forward instantiation to replace F(g(y0), z1, g(g(y2))) -> c3(F(g(y0), z1, g(y2))) by F(g(z0), z1, g(g(g(y2)))) -> c3(F(g(z0), z1, g(g(y2)))) F(g(z0), g(g(y1)), g(g(z2))) -> c3(F(g(z0), g(g(y1)), g(z2))) F(g(z0), g(y1), g(g(g(y2)))) -> c3(F(g(z0), g(y1), g(g(y2)))) F(g(0), g(1), g(g(z2))) -> c3(F(g(0), g(1), g(z2))) F(g(g(y0)), g(y1), g(g(z2))) -> c3(F(g(g(y0)), g(y1), g(z2))) F(g(g(0)), 1, g(g(z2))) -> c3(F(g(g(0)), 1, g(z2))) F(g(g(g(y0))), z1, g(g(z2))) -> c3(F(g(g(g(y0))), z1, g(z2))) F(g(g(y0)), z1, g(g(z2))) -> c3(F(g(g(y0)), z1, g(z2))) F(g(g(y0)), g(g(y1)), g(g(z2))) -> c3(F(g(g(y0)), g(g(y1)), g(z2))) F(g(g(0)), g(1), g(g(z2))) -> c3(F(g(g(0)), g(1), g(z2))) F(g(g(g(y0))), g(y1), g(g(z2))) -> c3(F(g(g(g(y0))), g(y1), g(z2))) F(g(g(y0)), z1, g(g(g(y2)))) -> c3(F(g(g(y0)), z1, g(g(y2)))) F(g(g(y0)), g(y1), g(g(g(y2)))) -> c3(F(g(g(y0)), g(y1), g(g(y2)))) F(g(z0), g(y1), g(g(z2))) -> c3(F(g(z0), g(y1), g(z2))) F(g(g(g(g(y0)))), g(y1), g(g(z2))) -> c3(F(g(g(g(g(y0)))), g(y1), g(z2))) F(g(g(g(y0))), g(g(y1)), g(g(z2))) -> c3(F(g(g(g(y0))), g(g(y1)), g(z2))) F(g(g(g(0))), g(1), g(g(z2))) -> c3(F(g(g(g(0))), g(1), g(z2))) F(g(g(g(y0))), g(y1), g(g(g(y2)))) -> c3(F(g(g(g(y0))), g(y1), g(g(y2)))) F(g(0), 1, g(g(z2))) -> c3(F(g(0), 1, g(z2))) F(g(0), 1, g(g(g(y0)))) -> c3(F(g(0), 1, g(g(y0)))) F(g(0), 1, g(g(g(g(y0))))) -> c3(F(g(0), 1, g(g(g(y0))))) F(g(g(g(0))), 1, g(g(z2))) -> c3(F(g(g(g(0))), 1, g(z2))) F(g(g(g(g(y0)))), z1, g(g(z2))) -> c3(F(g(g(g(g(y0)))), z1, g(z2))) F(g(g(g(y0))), z1, g(g(g(y2)))) -> c3(F(g(g(g(y0))), z1, g(g(y2)))) F(g(g(g(g(g(y0))))), g(y1), g(g(z2))) -> c3(F(g(g(g(g(g(y0))))), g(y1), g(z2))) F(g(g(g(g(y0)))), g(g(y1)), g(g(z2))) -> c3(F(g(g(g(g(y0)))), g(g(y1)), g(z2))) F(g(g(g(g(0)))), g(1), g(g(z2))) -> c3(F(g(g(g(g(0)))), g(1), g(z2))) F(g(g(g(g(y0)))), g(y1), g(g(g(y2)))) -> c3(F(g(g(g(g(y0)))), g(y1), g(g(y2)))) F(g(g(0)), 1, g(g(g(y0)))) -> c3(F(g(g(0)), 1, g(g(y0)))) F(g(g(0)), 1, g(g(g(g(y0))))) -> c3(F(g(g(0)), 1, g(g(g(y0))))) F(g(z0), g(g(g(y1))), g(g(z2))) -> c3(F(g(z0), g(g(g(y1))), g(z2))) F(g(0), g(g(1)), g(g(z2))) -> c3(F(g(0), g(g(1)), g(z2))) F(g(z0), g(g(y1)), g(g(g(y2)))) -> c3(F(g(z0), g(g(y1)), g(g(y2)))) F(g(g(y0)), g(g(g(y1))), g(g(z2))) -> c3(F(g(g(y0)), g(g(g(y1))), g(z2))) F(g(g(0)), g(g(1)), g(g(z2))) -> c3(F(g(g(0)), g(g(1)), g(z2))) F(g(g(y0)), g(g(y1)), g(g(g(y2)))) -> c3(F(g(g(y0)), g(g(y1)), g(g(y2)))) F(g(g(g(y0))), g(g(g(y1))), g(g(z2))) -> c3(F(g(g(g(y0))), g(g(g(y1))), g(z2))) F(g(g(g(0))), g(g(1)), g(g(z2))) -> c3(F(g(g(g(0))), g(g(1)), g(z2))) F(g(g(g(y0))), g(g(y1)), g(g(g(y2)))) -> c3(F(g(g(g(y0))), g(g(y1)), g(g(y2)))) F(g(g(g(g(g(y0))))), g(g(y1)), g(g(z2))) -> c3(F(g(g(g(g(g(y0))))), g(g(y1)), g(z2))) F(g(g(g(g(y0)))), g(g(g(y1))), g(g(z2))) -> c3(F(g(g(g(g(y0)))), g(g(g(y1))), g(z2))) F(g(g(g(g(0)))), g(g(1)), g(g(z2))) -> c3(F(g(g(g(g(0)))), g(g(1)), g(z2))) F(g(g(g(g(y0)))), g(g(y1)), g(g(g(y2)))) -> c3(F(g(g(g(g(y0)))), g(g(y1)), g(g(y2)))) F(g(0), g(1), g(g(g(y0)))) -> c3(F(g(0), g(1), g(g(y0)))) F(g(0), g(1), g(g(g(g(y0))))) -> c3(F(g(0), g(1), g(g(g(y0))))) F(g(g(0)), g(1), g(g(g(y0)))) -> c3(F(g(g(0)), g(1), g(g(y0)))) F(g(g(0)), g(1), g(g(g(g(y0))))) -> c3(F(g(g(0)), g(1), g(g(g(y0))))) F(g(z0), g(g(g(g(y1)))), g(g(z2))) -> c3(F(g(z0), g(g(g(g(y1)))), g(z2))) F(g(0), g(g(g(1))), g(g(z2))) -> c3(F(g(0), g(g(g(1))), g(z2))) F(g(z0), g(g(g(y1))), g(g(g(y2)))) -> c3(F(g(z0), g(g(g(y1))), g(g(y2)))) F(g(g(y0)), g(g(g(g(y1)))), g(g(z2))) -> c3(F(g(g(y0)), g(g(g(g(y1)))), g(z2))) F(g(g(0)), g(g(g(1))), g(g(z2))) -> c3(F(g(g(0)), g(g(g(1))), g(z2))) F(g(g(y0)), g(g(g(y1))), g(g(g(y2)))) -> c3(F(g(g(y0)), g(g(g(y1))), g(g(y2)))) F(g(g(g(y0))), g(g(g(g(y1)))), g(g(z2))) -> c3(F(g(g(g(y0))), g(g(g(g(y1)))), g(z2))) F(g(g(g(0))), g(g(g(1))), g(g(z2))) -> c3(F(g(g(g(0))), g(g(g(1))), g(z2))) F(g(g(g(y0))), g(g(g(y1))), g(g(g(y2)))) -> c3(F(g(g(g(y0))), g(g(g(y1))), g(g(y2)))) F(g(g(g(g(g(y0))))), g(g(g(y1))), g(g(z2))) -> c3(F(g(g(g(g(g(y0))))), g(g(g(y1))), g(z2))) F(g(g(g(g(y0)))), g(g(g(g(y1)))), g(g(z2))) -> c3(F(g(g(g(g(y0)))), g(g(g(g(y1)))), g(z2))) F(g(g(g(g(0)))), g(g(g(1))), g(g(z2))) -> c3(F(g(g(g(g(0)))), g(g(g(1))), g(z2))) F(g(g(g(g(y0)))), g(g(g(y1))), g(g(g(y2)))) -> c3(F(g(g(g(g(y0)))), g(g(g(y1))), g(g(y2)))) F(g(g(0)), g(g(1)), g(g(g(y0)))) -> c3(F(g(g(0)), g(g(1)), g(g(y0)))) F(g(g(0)), g(g(1)), g(g(g(g(y0))))) -> c3(F(g(g(0)), g(g(1)), g(g(g(y0))))) F(g(g(y0)), g(g(g(g(g(y1))))), g(g(z2))) -> c3(F(g(g(y0)), g(g(g(g(g(y1))))), g(z2))) F(g(g(y0)), g(g(g(g(y1)))), g(g(g(y2)))) -> c3(F(g(g(y0)), g(g(g(g(y1)))), g(g(y2)))) F(g(g(0)), g(g(g(g(1)))), g(g(z2))) -> c3(F(g(g(0)), g(g(g(g(1)))), g(z2))) F(g(g(g(y0))), g(g(g(g(g(y1))))), g(g(z2))) -> c3(F(g(g(g(y0))), g(g(g(g(g(y1))))), g(z2))) F(g(g(g(0))), g(g(g(g(1)))), g(g(z2))) -> c3(F(g(g(g(0))), g(g(g(g(1)))), g(z2))) F(g(g(g(y0))), g(g(g(g(y1)))), g(g(g(y2)))) -> c3(F(g(g(g(y0))), g(g(g(g(y1)))), g(g(y2)))) F(g(g(g(g(g(y0))))), g(g(g(g(y1)))), g(g(z2))) -> c3(F(g(g(g(g(g(y0))))), g(g(g(g(y1)))), g(z2))) F(g(g(g(g(y0)))), g(g(g(g(g(y1))))), g(g(z2))) -> c3(F(g(g(g(g(y0)))), g(g(g(g(g(y1))))), g(z2))) F(g(g(g(g(0)))), g(g(g(g(1)))), g(g(z2))) -> c3(F(g(g(g(g(0)))), g(g(g(g(1)))), g(z2))) F(g(g(g(g(y0)))), g(g(g(g(y1)))), g(g(g(y2)))) -> c3(F(g(g(g(g(y0)))), g(g(g(g(y1)))), g(g(y2)))) F(g(0), g(g(1)), g(g(g(y0)))) -> c3(F(g(0), g(g(1)), g(g(y0)))) F(g(0), g(g(1)), g(g(g(g(y0))))) -> c3(F(g(0), g(g(1)), g(g(g(y0))))) F(g(z0), g(g(g(g(g(y1))))), g(g(z2))) -> c3(F(g(z0), g(g(g(g(g(y1))))), g(z2))) F(g(0), g(g(g(g(1)))), g(g(z2))) -> c3(F(g(0), g(g(g(g(1)))), g(z2))) F(g(z0), g(g(g(g(y1)))), g(g(g(y2)))) -> c3(F(g(z0), g(g(g(g(y1)))), g(g(y2)))) F(g(g(0)), g(g(g(1))), g(g(g(y0)))) -> c3(F(g(g(0)), g(g(g(1))), g(g(y0)))) F(g(g(0)), g(g(g(1))), g(g(g(g(y0))))) -> c3(F(g(g(0)), g(g(g(1))), g(g(g(y0))))) F(g(g(y0)), g(g(g(g(g(g(y1)))))), g(g(z2))) -> c3(F(g(g(y0)), g(g(g(g(g(g(y1)))))), g(z2))) F(g(g(y0)), g(g(g(g(g(y1))))), g(g(g(y2)))) -> c3(F(g(g(y0)), g(g(g(g(g(y1))))), g(g(y2)))) F(g(g(0)), g(g(g(g(g(1))))), g(g(z2))) -> c3(F(g(g(0)), g(g(g(g(g(1))))), g(z2))) F(g(g(g(y0))), g(g(g(g(g(g(y1)))))), g(g(z2))) -> c3(F(g(g(g(y0))), g(g(g(g(g(g(y1)))))), g(z2))) F(g(g(g(0))), g(g(g(g(g(1))))), g(g(z2))) -> c3(F(g(g(g(0))), g(g(g(g(g(1))))), g(z2))) F(g(g(g(y0))), g(g(g(g(g(y1))))), g(g(g(y2)))) -> c3(F(g(g(g(y0))), g(g(g(g(g(y1))))), g(g(y2)))) F(g(g(g(g(g(y0))))), g(g(g(g(g(y1))))), g(g(z2))) -> c3(F(g(g(g(g(g(y0))))), g(g(g(g(g(y1))))), g(z2))) F(g(g(g(g(y0)))), g(g(g(g(g(g(y1)))))), g(g(z2))) -> c3(F(g(g(g(g(y0)))), g(g(g(g(g(g(y1)))))), g(z2))) F(g(g(g(g(0)))), g(g(g(g(g(1))))), g(g(z2))) -> c3(F(g(g(g(g(0)))), g(g(g(g(g(1))))), g(z2))) F(g(g(g(g(y0)))), g(g(g(g(g(y1))))), g(g(g(y2)))) -> c3(F(g(g(g(g(y0)))), g(g(g(g(g(y1))))), g(g(y2)))) F(g(0), g(g(g(1))), g(g(g(y0)))) -> c3(F(g(0), g(g(g(1))), g(g(y0)))) F(g(0), g(g(g(1))), g(g(g(g(y0))))) -> c3(F(g(0), g(g(g(1))), g(g(g(y0))))) F(g(z0), g(g(g(g(g(g(y1)))))), g(g(z2))) -> c3(F(g(z0), g(g(g(g(g(g(y1)))))), g(z2))) F(g(0), g(g(g(g(g(1))))), g(g(z2))) -> c3(F(g(0), g(g(g(g(g(1))))), g(z2))) F(g(z0), g(g(g(g(g(y1))))), g(g(g(y2)))) -> c3(F(g(z0), g(g(g(g(g(y1))))), g(g(y2)))) F(g(g(0)), g(g(g(g(1)))), g(g(g(y0)))) -> c3(F(g(g(0)), g(g(g(g(1)))), g(g(y0)))) F(g(g(0)), g(g(g(g(1)))), g(g(g(g(y0))))) -> c3(F(g(g(0)), g(g(g(g(1)))), g(g(g(y0))))) F(g(g(y0)), g(g(g(g(g(g(g(y1))))))), g(g(z2))) -> c3(F(g(g(y0)), g(g(g(g(g(g(g(y1))))))), g(z2))) F(g(g(y0)), g(g(g(g(g(g(y1)))))), g(g(g(y2)))) -> c3(F(g(g(y0)), g(g(g(g(g(g(y1)))))), g(g(y2)))) F(g(g(0)), g(g(g(g(g(g(1)))))), g(g(z2))) -> c3(F(g(g(0)), g(g(g(g(g(g(1)))))), g(z2))) F(g(g(g(y0))), g(g(g(g(g(g(g(y1))))))), g(g(z2))) -> c3(F(g(g(g(y0))), g(g(g(g(g(g(g(y1))))))), g(z2))) F(g(g(g(0))), g(g(g(g(g(g(1)))))), g(g(z2))) -> c3(F(g(g(g(0))), g(g(g(g(g(g(1)))))), g(z2))) F(g(g(g(y0))), g(g(g(g(g(g(y1)))))), g(g(g(y2)))) -> c3(F(g(g(g(y0))), g(g(g(g(g(g(y1)))))), g(g(y2)))) F(g(g(g(g(g(y0))))), g(g(g(g(g(g(y1)))))), g(g(z2))) -> c3(F(g(g(g(g(g(y0))))), g(g(g(g(g(g(y1)))))), g(z2))) F(g(g(g(g(y0)))), g(g(g(g(g(g(g(y1))))))), g(g(z2))) -> c3(F(g(g(g(g(y0)))), g(g(g(g(g(g(g(y1))))))), g(z2))) F(g(g(g(g(0)))), g(g(g(g(g(g(1)))))), g(g(z2))) -> c3(F(g(g(g(g(0)))), g(g(g(g(g(g(1)))))), g(z2))) F(g(g(g(g(y0)))), g(g(g(g(g(g(y1)))))), g(g(g(y2)))) -> c3(F(g(g(g(g(y0)))), g(g(g(g(g(g(y1)))))), g(g(y2)))) F(g(z0), z1, g(g(g(g(y2))))) -> c3(F(g(z0), z1, g(g(g(y2))))) F(g(z0), g(y1), g(g(g(g(y2))))) -> c3(F(g(z0), g(y1), g(g(g(y2))))) F(g(g(y0)), z1, g(g(g(g(y2))))) -> c3(F(g(g(y0)), z1, g(g(g(y2))))) F(g(g(y0)), g(y1), g(g(g(g(y2))))) -> c3(F(g(g(y0)), g(y1), g(g(g(y2))))) F(g(g(g(0))), g(1), g(g(g(y0)))) -> c3(F(g(g(g(0))), g(1), g(g(y0)))) F(g(g(g(y0))), g(y1), g(g(g(g(y2))))) -> c3(F(g(g(g(y0))), g(y1), g(g(g(y2))))) F(g(0), 1, g(g(g(g(g(y0)))))) -> c3(F(g(0), 1, g(g(g(g(y0)))))) F(g(g(g(0))), 1, g(g(g(y0)))) -> c3(F(g(g(g(0))), 1, g(g(y0)))) F(g(g(g(g(y0)))), z1, g(g(g(y2)))) -> c3(F(g(g(g(g(y0)))), z1, g(g(y2)))) F(g(g(g(y0))), z1, g(g(g(g(y2))))) -> c3(F(g(g(g(y0))), z1, g(g(g(y2))))) F(g(g(g(g(g(y0))))), g(y1), g(g(g(y2)))) -> c3(F(g(g(g(g(g(y0))))), g(y1), g(g(y2)))) F(g(g(g(g(0)))), g(1), g(g(g(y0)))) -> c3(F(g(g(g(g(0)))), g(1), g(g(y0)))) F(g(g(g(g(y0)))), g(y1), g(g(g(g(y2))))) -> c3(F(g(g(g(g(y0)))), g(y1), g(g(g(y2))))) F(g(g(0)), 1, g(g(g(g(g(y0)))))) -> c3(F(g(g(0)), 1, g(g(g(g(y0)))))) F(g(z0), g(g(y1)), g(g(g(g(y2))))) -> c3(F(g(z0), g(g(y1)), g(g(g(y2))))) F(g(g(y0)), g(g(y1)), g(g(g(g(y2))))) -> c3(F(g(g(y0)), g(g(y1)), g(g(g(y2))))) F(g(g(g(0))), g(g(1)), g(g(g(y0)))) -> c3(F(g(g(g(0))), g(g(1)), g(g(y0)))) F(g(g(g(y0))), g(g(y1)), g(g(g(g(y2))))) -> c3(F(g(g(g(y0))), g(g(y1)), g(g(g(y2))))) F(g(g(g(g(g(y0))))), g(g(y1)), g(g(g(y2)))) -> c3(F(g(g(g(g(g(y0))))), g(g(y1)), g(g(y2)))) F(g(g(g(g(0)))), g(g(1)), g(g(g(y0)))) -> c3(F(g(g(g(g(0)))), g(g(1)), g(g(y0)))) F(g(g(g(g(y0)))), g(g(y1)), g(g(g(g(y2))))) -> c3(F(g(g(g(g(y0)))), g(g(y1)), g(g(g(y2))))) F(g(0), g(1), g(g(g(g(g(y0)))))) -> c3(F(g(0), g(1), g(g(g(g(y0)))))) F(g(g(0)), g(1), g(g(g(g(g(y0)))))) -> c3(F(g(g(0)), g(1), g(g(g(g(y0)))))) F(g(z0), g(g(g(y1))), g(g(g(g(y2))))) -> c3(F(g(z0), g(g(g(y1))), g(g(g(y2))))) F(g(g(y0)), g(g(g(y1))), g(g(g(g(y2))))) -> c3(F(g(g(y0)), g(g(g(y1))), g(g(g(y2))))) F(g(g(g(0))), g(g(g(1))), g(g(g(y0)))) -> c3(F(g(g(g(0))), g(g(g(1))), g(g(y0)))) F(g(g(g(y0))), g(g(g(y1))), g(g(g(g(y2))))) -> c3(F(g(g(g(y0))), g(g(g(y1))), g(g(g(y2))))) F(g(g(g(g(g(y0))))), g(g(g(y1))), g(g(g(y2)))) -> c3(F(g(g(g(g(g(y0))))), g(g(g(y1))), g(g(y2)))) F(g(g(g(g(0)))), g(g(g(1))), g(g(g(y0)))) -> c3(F(g(g(g(g(0)))), g(g(g(1))), g(g(y0)))) F(g(g(g(g(y0)))), g(g(g(y1))), g(g(g(g(y2))))) -> c3(F(g(g(g(g(y0)))), g(g(g(y1))), g(g(g(y2))))) F(g(g(0)), g(g(1)), g(g(g(g(g(y0)))))) -> c3(F(g(g(0)), g(g(1)), g(g(g(g(y0)))))) F(g(g(y0)), g(g(g(g(y1)))), g(g(g(g(y2))))) -> c3(F(g(g(y0)), g(g(g(g(y1)))), g(g(g(y2))))) F(g(g(g(0))), g(g(g(g(1)))), g(g(g(y0)))) -> c3(F(g(g(g(0))), g(g(g(g(1)))), g(g(y0)))) F(g(g(g(y0))), g(g(g(g(y1)))), g(g(g(g(y2))))) -> c3(F(g(g(g(y0))), g(g(g(g(y1)))), g(g(g(y2))))) F(g(g(g(g(g(y0))))), g(g(g(g(y1)))), g(g(g(y2)))) -> c3(F(g(g(g(g(g(y0))))), g(g(g(g(y1)))), g(g(y2)))) F(g(g(g(g(0)))), g(g(g(g(1)))), g(g(g(y0)))) -> c3(F(g(g(g(g(0)))), g(g(g(g(1)))), g(g(y0)))) F(g(g(g(g(y0)))), g(g(g(g(y1)))), g(g(g(g(y2))))) -> c3(F(g(g(g(g(y0)))), g(g(g(g(y1)))), g(g(g(y2))))) F(g(0), g(g(1)), g(g(g(g(g(y0)))))) -> c3(F(g(0), g(g(1)), g(g(g(g(y0)))))) F(g(0), g(g(g(g(1)))), g(g(g(y0)))) -> c3(F(g(0), g(g(g(g(1)))), g(g(y0)))) F(g(z0), g(g(g(g(y1)))), g(g(g(g(y2))))) -> c3(F(g(z0), g(g(g(g(y1)))), g(g(g(y2))))) F(g(g(0)), g(g(g(1))), g(g(g(g(g(y0)))))) -> c3(F(g(g(0)), g(g(g(1))), g(g(g(g(y0)))))) F(g(g(y0)), g(g(g(g(g(y1))))), g(g(g(g(y2))))) -> c3(F(g(g(y0)), g(g(g(g(g(y1))))), g(g(g(y2))))) F(g(g(0)), g(g(g(g(g(1))))), g(g(g(y0)))) -> c3(F(g(g(0)), g(g(g(g(g(1))))), g(g(y0)))) F(g(g(g(0))), g(g(g(g(g(1))))), g(g(g(y0)))) -> c3(F(g(g(g(0))), g(g(g(g(g(1))))), g(g(y0)))) F(g(g(g(y0))), g(g(g(g(g(y1))))), g(g(g(g(y2))))) -> c3(F(g(g(g(y0))), g(g(g(g(g(y1))))), g(g(g(y2))))) F(g(g(g(g(g(y0))))), g(g(g(g(g(y1))))), g(g(g(y2)))) -> c3(F(g(g(g(g(g(y0))))), g(g(g(g(g(y1))))), g(g(y2)))) F(g(g(g(g(0)))), g(g(g(g(g(1))))), g(g(g(y0)))) -> c3(F(g(g(g(g(0)))), g(g(g(g(g(1))))), g(g(y0)))) F(g(g(g(g(y0)))), g(g(g(g(g(y1))))), g(g(g(g(y2))))) -> c3(F(g(g(g(g(y0)))), g(g(g(g(g(y1))))), g(g(g(y2))))) F(g(0), g(g(g(1))), g(g(g(g(g(y0)))))) -> c3(F(g(0), g(g(g(1))), g(g(g(g(y0)))))) F(g(z0), g(g(g(g(g(g(y1)))))), g(g(g(y2)))) -> c3(F(g(z0), g(g(g(g(g(g(y1)))))), g(g(y2)))) F(g(0), g(g(g(g(g(1))))), g(g(g(y0)))) -> c3(F(g(0), g(g(g(g(g(1))))), g(g(y0)))) F(g(z0), g(g(g(g(g(y1))))), g(g(g(g(y2))))) -> c3(F(g(z0), g(g(g(g(g(y1))))), g(g(g(y2))))) F(g(g(0)), g(g(g(g(1)))), g(g(g(g(g(y0)))))) -> c3(F(g(g(0)), g(g(g(g(1)))), g(g(g(g(y0)))))) F(g(g(y0)), g(g(g(g(g(g(g(y1))))))), g(g(g(y2)))) -> c3(F(g(g(y0)), g(g(g(g(g(g(g(y1))))))), g(g(y2)))) F(g(g(y0)), g(g(g(g(g(g(y1)))))), g(g(g(g(y2))))) -> c3(F(g(g(y0)), g(g(g(g(g(g(y1)))))), g(g(g(y2))))) F(g(g(0)), g(g(g(g(g(g(1)))))), g(g(g(y0)))) -> c3(F(g(g(0)), g(g(g(g(g(g(1)))))), g(g(y0)))) F(g(g(g(y0))), g(g(g(g(g(g(g(y1))))))), g(g(g(y2)))) -> c3(F(g(g(g(y0))), g(g(g(g(g(g(g(y1))))))), g(g(y2)))) F(g(g(g(0))), g(g(g(g(g(g(1)))))), g(g(g(y0)))) -> c3(F(g(g(g(0))), g(g(g(g(g(g(1)))))), g(g(y0)))) F(g(g(g(y0))), g(g(g(g(g(g(y1)))))), g(g(g(g(y2))))) -> c3(F(g(g(g(y0))), g(g(g(g(g(g(y1)))))), g(g(g(y2))))) F(g(g(g(g(g(y0))))), g(g(g(g(g(g(y1)))))), g(g(g(y2)))) -> c3(F(g(g(g(g(g(y0))))), g(g(g(g(g(g(y1)))))), g(g(y2)))) F(g(g(g(g(y0)))), g(g(g(g(g(g(g(y1))))))), g(g(g(y2)))) -> c3(F(g(g(g(g(y0)))), g(g(g(g(g(g(g(y1))))))), g(g(y2)))) F(g(g(g(g(0)))), g(g(g(g(g(g(1)))))), g(g(g(y0)))) -> c3(F(g(g(g(g(0)))), g(g(g(g(g(g(1)))))), g(g(y0)))) F(g(g(g(g(y0)))), g(g(g(g(g(g(y1)))))), g(g(g(g(y2))))) -> c3(F(g(g(g(g(y0)))), g(g(g(g(g(g(y1)))))), g(g(g(y2))))) F(g(0), 1, g(g(g(g(g(g(y0))))))) -> c3(F(g(0), 1, g(g(g(g(g(y0))))))) F(g(g(y0)), z1, g(g(g(g(g(y2)))))) -> c3(F(g(g(y0)), z1, g(g(g(g(y2)))))) F(g(g(y0)), g(y1), g(g(g(g(g(y2)))))) -> c3(F(g(g(y0)), g(y1), g(g(g(g(y2)))))) F(g(g(g(0))), g(1), g(g(g(g(y0))))) -> c3(F(g(g(g(0))), g(1), g(g(g(y0))))) F(g(g(g(y0))), g(y1), g(g(g(g(g(y2)))))) -> c3(F(g(g(g(y0))), g(y1), g(g(g(g(y2)))))) F(g(g(g(0))), 1, g(g(g(g(y0))))) -> c3(F(g(g(g(0))), 1, g(g(g(y0))))) F(g(g(g(g(y0)))), z1, g(g(g(g(y2))))) -> c3(F(g(g(g(g(y0)))), z1, g(g(g(y2))))) F(g(g(g(y0))), z1, g(g(g(g(g(y2)))))) -> c3(F(g(g(g(y0))), z1, g(g(g(g(y2)))))) F(g(g(g(g(g(y0))))), g(y1), g(g(g(g(y2))))) -> c3(F(g(g(g(g(g(y0))))), g(y1), g(g(g(y2))))) F(g(g(g(g(0)))), g(1), g(g(g(g(y0))))) -> c3(F(g(g(g(g(0)))), g(1), g(g(g(y0))))) F(g(g(g(g(y0)))), g(y1), g(g(g(g(g(y2)))))) -> c3(F(g(g(g(g(y0)))), g(y1), g(g(g(g(y2)))))) F(g(g(0)), 1, g(g(g(g(g(g(y0))))))) -> c3(F(g(g(0)), 1, g(g(g(g(g(y0))))))) F(g(g(y0)), g(g(y1)), g(g(g(g(g(y2)))))) -> c3(F(g(g(y0)), g(g(y1)), g(g(g(g(y2)))))) F(g(g(g(0))), g(g(1)), g(g(g(g(y0))))) -> c3(F(g(g(g(0))), g(g(1)), g(g(g(y0))))) F(g(g(g(y0))), g(g(y1)), g(g(g(g(g(y2)))))) -> c3(F(g(g(g(y0))), g(g(y1)), g(g(g(g(y2)))))) F(g(g(g(g(g(y0))))), g(g(y1)), g(g(g(g(y2))))) -> c3(F(g(g(g(g(g(y0))))), g(g(y1)), g(g(g(y2))))) F(g(g(g(g(0)))), g(g(1)), g(g(g(g(y0))))) -> c3(F(g(g(g(g(0)))), g(g(1)), g(g(g(y0))))) F(g(g(g(g(y0)))), g(g(y1)), g(g(g(g(g(y2)))))) -> c3(F(g(g(g(g(y0)))), g(g(y1)), g(g(g(g(y2)))))) F(g(g(0)), g(1), g(g(g(g(g(g(y0))))))) -> c3(F(g(g(0)), g(1), g(g(g(g(g(y0))))))) F(g(g(y0)), g(g(g(y1))), g(g(g(g(g(y2)))))) -> c3(F(g(g(y0)), g(g(g(y1))), g(g(g(g(y2)))))) F(g(g(g(0))), g(g(g(1))), g(g(g(g(y0))))) -> c3(F(g(g(g(0))), g(g(g(1))), g(g(g(y0))))) F(g(g(g(y0))), g(g(g(y1))), g(g(g(g(g(y2)))))) -> c3(F(g(g(g(y0))), g(g(g(y1))), g(g(g(g(y2)))))) F(g(g(g(g(g(y0))))), g(g(g(y1))), g(g(g(g(y2))))) -> c3(F(g(g(g(g(g(y0))))), g(g(g(y1))), g(g(g(y2))))) F(g(g(g(g(0)))), g(g(g(1))), g(g(g(g(y0))))) -> c3(F(g(g(g(g(0)))), g(g(g(1))), g(g(g(y0))))) F(g(g(g(g(y0)))), g(g(g(y1))), g(g(g(g(g(y2)))))) -> c3(F(g(g(g(g(y0)))), g(g(g(y1))), g(g(g(g(y2)))))) F(g(g(0)), g(g(1)), g(g(g(g(g(g(y0))))))) -> c3(F(g(g(0)), g(g(1)), g(g(g(g(g(y0))))))) F(g(g(y0)), g(g(g(g(y1)))), g(g(g(g(g(y2)))))) -> c3(F(g(g(y0)), g(g(g(g(y1)))), g(g(g(g(y2)))))) F(g(g(g(0))), g(g(g(g(1)))), g(g(g(g(y0))))) -> c3(F(g(g(g(0))), g(g(g(g(1)))), g(g(g(y0))))) F(g(g(g(y0))), g(g(g(g(y1)))), g(g(g(g(g(y2)))))) -> c3(F(g(g(g(y0))), g(g(g(g(y1)))), g(g(g(g(y2)))))) F(g(g(g(g(g(y0))))), g(g(g(g(y1)))), g(g(g(g(y2))))) -> c3(F(g(g(g(g(g(y0))))), g(g(g(g(y1)))), g(g(g(y2))))) F(g(g(g(g(0)))), g(g(g(g(1)))), g(g(g(g(y0))))) -> c3(F(g(g(g(g(0)))), g(g(g(g(1)))), g(g(g(y0))))) F(g(g(g(g(y0)))), g(g(g(g(y1)))), g(g(g(g(g(y2)))))) -> c3(F(g(g(g(g(y0)))), g(g(g(g(y1)))), g(g(g(g(y2)))))) F(g(g(0)), g(g(g(1))), g(g(g(g(g(g(y0))))))) -> c3(F(g(g(0)), g(g(g(1))), g(g(g(g(g(y0))))))) F(g(g(y0)), g(g(g(g(g(y1))))), g(g(g(g(g(y2)))))) -> c3(F(g(g(y0)), g(g(g(g(g(y1))))), g(g(g(g(y2)))))) F(g(g(0)), g(g(g(g(g(1))))), g(g(g(g(y0))))) -> c3(F(g(g(0)), g(g(g(g(g(1))))), g(g(g(y0))))) F(g(g(g(0))), g(g(g(g(g(1))))), g(g(g(g(y0))))) -> c3(F(g(g(g(0))), g(g(g(g(g(1))))), g(g(g(y0))))) F(g(g(g(y0))), g(g(g(g(g(y1))))), g(g(g(g(g(y2)))))) -> c3(F(g(g(g(y0))), g(g(g(g(g(y1))))), g(g(g(g(y2)))))) F(g(g(g(g(g(y0))))), g(g(g(g(g(y1))))), g(g(g(g(y2))))) -> c3(F(g(g(g(g(g(y0))))), g(g(g(g(g(y1))))), g(g(g(y2))))) F(g(g(g(g(0)))), g(g(g(g(g(1))))), g(g(g(g(y0))))) -> c3(F(g(g(g(g(0)))), g(g(g(g(g(1))))), g(g(g(y0))))) F(g(g(g(g(y0)))), g(g(g(g(g(y1))))), g(g(g(g(g(y2)))))) -> c3(F(g(g(g(g(y0)))), g(g(g(g(g(y1))))), g(g(g(g(y2)))))) F(g(g(0)), g(g(g(g(1)))), g(g(g(g(g(g(y0))))))) -> c3(F(g(g(0)), g(g(g(g(1)))), g(g(g(g(g(y0))))))) F(g(g(y0)), g(g(g(g(g(g(g(y1))))))), g(g(g(g(y2))))) -> c3(F(g(g(y0)), g(g(g(g(g(g(g(y1))))))), g(g(g(y2))))) F(g(g(y0)), g(g(g(g(g(g(y1)))))), g(g(g(g(g(y2)))))) -> c3(F(g(g(y0)), g(g(g(g(g(g(y1)))))), g(g(g(g(y2)))))) F(g(g(0)), g(g(g(g(g(g(1)))))), g(g(g(g(y0))))) -> c3(F(g(g(0)), g(g(g(g(g(g(1)))))), g(g(g(y0))))) F(g(g(g(y0))), g(g(g(g(g(g(g(y1))))))), g(g(g(g(y2))))) -> c3(F(g(g(g(y0))), g(g(g(g(g(g(g(y1))))))), g(g(g(y2))))) F(g(g(g(0))), g(g(g(g(g(g(1)))))), g(g(g(g(y0))))) -> c3(F(g(g(g(0))), g(g(g(g(g(g(1)))))), g(g(g(y0))))) F(g(g(g(y0))), g(g(g(g(g(g(y1)))))), g(g(g(g(g(y2)))))) -> c3(F(g(g(g(y0))), g(g(g(g(g(g(y1)))))), g(g(g(g(y2)))))) F(g(g(g(g(g(y0))))), g(g(g(g(g(g(y1)))))), g(g(g(g(y2))))) -> c3(F(g(g(g(g(g(y0))))), g(g(g(g(g(g(y1)))))), g(g(g(y2))))) F(g(g(g(g(y0)))), g(g(g(g(g(g(g(y1))))))), g(g(g(g(y2))))) -> c3(F(g(g(g(g(y0)))), g(g(g(g(g(g(g(y1))))))), g(g(g(y2))))) F(g(g(g(g(0)))), g(g(g(g(g(g(1)))))), g(g(g(g(y0))))) -> c3(F(g(g(g(g(0)))), g(g(g(g(g(g(1)))))), g(g(g(y0))))) F(g(g(g(g(y0)))), g(g(g(g(g(g(y1)))))), g(g(g(g(g(y2)))))) -> c3(F(g(g(g(g(y0)))), g(g(g(g(g(g(y1)))))), g(g(g(g(y2)))))) F(g(z0), g(y1), g(g(g(g(g(y2)))))) -> c3(F(g(z0), g(y1), g(g(g(g(y2)))))) F(g(z0), g(g(y1)), g(g(g(g(g(y2)))))) -> c3(F(g(z0), g(g(y1)), g(g(g(g(y2)))))) F(g(0), g(1), g(g(g(g(g(g(y0))))))) -> c3(F(g(0), g(1), g(g(g(g(g(y0))))))) F(g(z0), g(g(g(y1))), g(g(g(g(g(y2)))))) -> c3(F(g(z0), g(g(g(y1))), g(g(g(g(y2)))))) F(g(0), g(g(1)), g(g(g(g(g(g(y0))))))) -> c3(F(g(0), g(g(1)), g(g(g(g(g(y0))))))) F(g(0), g(g(g(g(1)))), g(g(g(g(y0))))) -> c3(F(g(0), g(g(g(g(1)))), g(g(g(y0))))) F(g(z0), g(g(g(g(y1)))), g(g(g(g(g(y2)))))) -> c3(F(g(z0), g(g(g(g(y1)))), g(g(g(g(y2)))))) F(g(0), g(g(g(1))), g(g(g(g(g(g(y0))))))) -> c3(F(g(0), g(g(g(1))), g(g(g(g(g(y0))))))) F(g(z0), g(g(g(g(g(g(y1)))))), g(g(g(g(y2))))) -> c3(F(g(z0), g(g(g(g(g(g(y1)))))), g(g(g(y2))))) F(g(0), g(g(g(g(g(1))))), g(g(g(g(y0))))) -> c3(F(g(0), g(g(g(g(g(1))))), g(g(g(y0))))) F(g(z0), g(g(g(g(g(y1))))), g(g(g(g(g(y2)))))) -> c3(F(g(z0), g(g(g(g(g(y1))))), g(g(g(g(y2)))))) F(g(g(y0)), g(y1), g(g(g(g(g(g(y2))))))) -> c3(F(g(g(y0)), g(y1), g(g(g(g(g(y2))))))) F(g(g(g(0))), g(1), g(g(g(g(g(y0)))))) -> c3(F(g(g(g(0))), g(1), g(g(g(g(y0)))))) F(g(g(g(y0))), g(y1), g(g(g(g(g(g(y2))))))) -> c3(F(g(g(g(y0))), g(y1), g(g(g(g(g(y2))))))) F(g(g(g(g(g(y0))))), g(y1), g(g(g(g(g(y2)))))) -> c3(F(g(g(g(g(g(y0))))), g(y1), g(g(g(g(y2)))))) F(g(g(g(g(0)))), g(1), g(g(g(g(g(y0)))))) -> c3(F(g(g(g(g(0)))), g(1), g(g(g(g(y0)))))) F(g(g(g(g(y0)))), g(y1), g(g(g(g(g(g(y2))))))) -> c3(F(g(g(g(g(y0)))), g(y1), g(g(g(g(g(y2))))))) F(g(g(y0)), g(g(y1)), g(g(g(g(g(g(y2))))))) -> c3(F(g(g(y0)), g(g(y1)), g(g(g(g(g(y2))))))) F(g(g(g(0))), g(g(1)), g(g(g(g(g(y0)))))) -> c3(F(g(g(g(0))), g(g(1)), g(g(g(g(y0)))))) F(g(g(g(y0))), g(g(y1)), g(g(g(g(g(g(y2))))))) -> c3(F(g(g(g(y0))), g(g(y1)), g(g(g(g(g(y2))))))) F(g(g(g(g(g(y0))))), g(g(y1)), g(g(g(g(g(y2)))))) -> c3(F(g(g(g(g(g(y0))))), g(g(y1)), g(g(g(g(y2)))))) F(g(g(g(g(0)))), g(g(1)), g(g(g(g(g(y0)))))) -> c3(F(g(g(g(g(0)))), g(g(1)), g(g(g(g(y0)))))) F(g(g(g(g(y0)))), g(g(y1)), g(g(g(g(g(g(y2))))))) -> c3(F(g(g(g(g(y0)))), g(g(y1)), g(g(g(g(g(y2))))))) F(g(g(0)), g(1), g(g(g(g(g(g(g(y0)))))))) -> c3(F(g(g(0)), g(1), g(g(g(g(g(g(y0)))))))) F(g(g(y0)), g(g(g(y1))), g(g(g(g(g(g(y2))))))) -> c3(F(g(g(y0)), g(g(g(y1))), g(g(g(g(g(y2))))))) F(g(g(g(0))), g(g(g(1))), g(g(g(g(g(y0)))))) -> c3(F(g(g(g(0))), g(g(g(1))), g(g(g(g(y0)))))) F(g(g(g(y0))), g(g(g(y1))), g(g(g(g(g(g(y2))))))) -> c3(F(g(g(g(y0))), g(g(g(y1))), g(g(g(g(g(y2))))))) F(g(g(g(g(g(y0))))), g(g(g(y1))), g(g(g(g(g(y2)))))) -> c3(F(g(g(g(g(g(y0))))), g(g(g(y1))), g(g(g(g(y2)))))) F(g(g(g(g(0)))), g(g(g(1))), g(g(g(g(g(y0)))))) -> c3(F(g(g(g(g(0)))), g(g(g(1))), g(g(g(g(y0)))))) F(g(g(g(g(y0)))), g(g(g(y1))), g(g(g(g(g(g(y2))))))) -> c3(F(g(g(g(g(y0)))), g(g(g(y1))), g(g(g(g(g(y2))))))) F(g(g(0)), g(g(1)), g(g(g(g(g(g(g(y0)))))))) -> c3(F(g(g(0)), g(g(1)), g(g(g(g(g(g(y0)))))))) F(g(g(y0)), g(g(g(g(y1)))), g(g(g(g(g(g(y2))))))) -> c3(F(g(g(y0)), g(g(g(g(y1)))), g(g(g(g(g(y2))))))) F(g(g(g(0))), g(g(g(g(1)))), g(g(g(g(g(y0)))))) -> c3(F(g(g(g(0))), g(g(g(g(1)))), g(g(g(g(y0)))))) F(g(g(g(y0))), g(g(g(g(y1)))), g(g(g(g(g(g(y2))))))) -> c3(F(g(g(g(y0))), g(g(g(g(y1)))), g(g(g(g(g(y2))))))) F(g(g(g(g(g(y0))))), g(g(g(g(y1)))), g(g(g(g(g(y2)))))) -> c3(F(g(g(g(g(g(y0))))), g(g(g(g(y1)))), g(g(g(g(y2)))))) F(g(g(g(g(0)))), g(g(g(g(1)))), g(g(g(g(g(y0)))))) -> c3(F(g(g(g(g(0)))), g(g(g(g(1)))), g(g(g(g(y0)))))) F(g(g(g(g(y0)))), g(g(g(g(y1)))), g(g(g(g(g(g(y2))))))) -> c3(F(g(g(g(g(y0)))), g(g(g(g(y1)))), g(g(g(g(g(y2))))))) F(g(g(0)), g(g(g(1))), g(g(g(g(g(g(g(y0)))))))) -> c3(F(g(g(0)), g(g(g(1))), g(g(g(g(g(g(y0)))))))) F(g(g(y0)), g(g(g(g(g(y1))))), g(g(g(g(g(g(y2))))))) -> c3(F(g(g(y0)), g(g(g(g(g(y1))))), g(g(g(g(g(y2))))))) F(g(g(0)), g(g(g(g(g(1))))), g(g(g(g(g(y0)))))) -> c3(F(g(g(0)), g(g(g(g(g(1))))), g(g(g(g(y0)))))) F(g(g(g(0))), g(g(g(g(g(1))))), g(g(g(g(g(y0)))))) -> c3(F(g(g(g(0))), g(g(g(g(g(1))))), g(g(g(g(y0)))))) F(g(g(g(y0))), g(g(g(g(g(y1))))), g(g(g(g(g(g(y2))))))) -> c3(F(g(g(g(y0))), g(g(g(g(g(y1))))), g(g(g(g(g(y2))))))) F(g(g(g(g(g(y0))))), g(g(g(g(g(y1))))), g(g(g(g(g(y2)))))) -> c3(F(g(g(g(g(g(y0))))), g(g(g(g(g(y1))))), g(g(g(g(y2)))))) F(g(g(g(g(0)))), g(g(g(g(g(1))))), g(g(g(g(g(y0)))))) -> c3(F(g(g(g(g(0)))), g(g(g(g(g(1))))), g(g(g(g(y0)))))) F(g(g(g(g(y0)))), g(g(g(g(g(y1))))), g(g(g(g(g(g(y2))))))) -> c3(F(g(g(g(g(y0)))), g(g(g(g(g(y1))))), g(g(g(g(g(y2))))))) F(g(g(0)), g(g(g(g(1)))), g(g(g(g(g(g(g(y0)))))))) -> c3(F(g(g(0)), g(g(g(g(1)))), g(g(g(g(g(g(y0)))))))) F(g(g(y0)), g(g(g(g(g(g(g(y1))))))), g(g(g(g(g(y2)))))) -> c3(F(g(g(y0)), g(g(g(g(g(g(g(y1))))))), g(g(g(g(y2)))))) F(g(g(y0)), g(g(g(g(g(g(y1)))))), g(g(g(g(g(g(y2))))))) -> c3(F(g(g(y0)), g(g(g(g(g(g(y1)))))), g(g(g(g(g(y2))))))) F(g(g(0)), g(g(g(g(g(g(1)))))), g(g(g(g(g(y0)))))) -> c3(F(g(g(0)), g(g(g(g(g(g(1)))))), g(g(g(g(y0)))))) F(g(g(g(y0))), g(g(g(g(g(g(g(y1))))))), g(g(g(g(g(y2)))))) -> c3(F(g(g(g(y0))), g(g(g(g(g(g(g(y1))))))), g(g(g(g(y2)))))) F(g(g(g(0))), g(g(g(g(g(g(1)))))), g(g(g(g(g(y0)))))) -> c3(F(g(g(g(0))), g(g(g(g(g(g(1)))))), g(g(g(g(y0)))))) F(g(g(g(y0))), g(g(g(g(g(g(y1)))))), g(g(g(g(g(g(y2))))))) -> c3(F(g(g(g(y0))), g(g(g(g(g(g(y1)))))), g(g(g(g(g(y2))))))) F(g(g(g(g(g(y0))))), g(g(g(g(g(g(y1)))))), g(g(g(g(g(y2)))))) -> c3(F(g(g(g(g(g(y0))))), g(g(g(g(g(g(y1)))))), g(g(g(g(y2)))))) F(g(g(g(g(y0)))), g(g(g(g(g(g(g(y1))))))), g(g(g(g(g(y2)))))) -> c3(F(g(g(g(g(y0)))), g(g(g(g(g(g(g(y1))))))), g(g(g(g(y2)))))) F(g(g(g(g(0)))), g(g(g(g(g(g(1)))))), g(g(g(g(g(y0)))))) -> c3(F(g(g(g(g(0)))), g(g(g(g(g(g(1)))))), g(g(g(g(y0)))))) F(g(g(g(g(y0)))), g(g(g(g(g(g(y1)))))), g(g(g(g(g(g(y2))))))) -> c3(F(g(g(g(g(y0)))), g(g(g(g(g(g(y1)))))), g(g(g(g(g(y2))))))) ---------------------------------------- (76) Obligation: Complexity Dependency Tuples Problem Rules:none Tuples: F(0, g(1), g(z2)) -> c3(F(0, g(1), z2)) F(z0, g(g(y1)), g(z2)) -> c3(F(z0, g(g(y1)), z2)) F(z0, g(y1), g(g(y2))) -> c3(F(z0, g(y1), g(y2))) F(g(0), g(1), g(z2)) -> c3(F(g(0), g(1), z2)) F(g(g(y0)), g(y1), g(z2)) -> c3(F(g(g(y0)), g(y1), z2)) F(g(y0), g(g(y1)), g(z2)) -> c3(F(g(y0), g(g(y1)), z2)) F(g(y0), g(y1), g(g(y2))) -> c3(F(g(y0), g(y1), g(y2))) F(g(g(0)), 1, z2) -> c1(F(g(0), 1, z2)) F(g(g(g(y0))), z1, z2) -> c1(F(g(g(y0)), z1, z2)) F(g(g(z0)), g(y1), z2) -> c1(F(g(z0), g(y1), z2)) F(g(g(z0)), z1, g(y2)) -> c1(F(g(z0), z1, g(y2))) F(g(g(z0)), g(g(y1)), z2) -> c1(F(g(z0), g(g(y1)), z2)) F(g(g(z0)), g(y1), g(y2)) -> c1(F(g(z0), g(y1), g(y2))) F(g(g(0)), g(1), z2) -> c1(F(g(0), g(1), z2)) F(g(g(g(y0))), g(y1), z2) -> c1(F(g(g(y0)), g(y1), z2)) F(g(g(z0)), z1, g(g(y2))) -> c1(F(g(z0), z1, g(g(y2)))) F(g(g(0)), 1, g(y0)) -> c1(F(g(0), 1, g(y0))) F(g(g(g(y0))), z1, g(y2)) -> c1(F(g(g(y0)), z1, g(y2))) F(g(g(z0)), g(g(y1)), g(y2)) -> c1(F(g(z0), g(g(y1)), g(y2))) F(g(g(z0)), g(y1), g(g(y2))) -> c1(F(g(z0), g(y1), g(g(y2)))) F(g(g(0)), g(1), g(y0)) -> c1(F(g(0), g(1), g(y0))) F(g(g(g(y0))), g(y1), g(y2)) -> c1(F(g(g(y0)), g(y1), g(y2))) F(g(0), g(1), z2) -> c1(F(0, g(1), z2)) F(g(z0), g(g(y1)), z2) -> c1(F(z0, g(g(y1)), z2)) F(g(z0), g(z1), g(y2)) -> c1(F(z0, g(z1), g(y2))) F(g(z0), g(z1), g(g(y2))) -> c1(F(z0, g(z1), g(g(y2)))) F(g(0), g(1), g(y0)) -> c1(F(0, g(1), g(y0))) F(g(z0), g(g(y1)), g(y2)) -> c1(F(z0, g(g(y1)), g(y2))) F(g(g(g(g(y0)))), g(z1), z2) -> c1(F(g(g(g(y0))), g(z1), z2)) F(g(g(g(y0))), g(g(y1)), z2) -> c1(F(g(g(y0)), g(g(y1)), z2)) F(g(g(g(0))), g(1), z2) -> c1(F(g(g(0)), g(1), z2)) F(g(g(g(y0))), g(z1), g(g(y2))) -> c1(F(g(g(y0)), g(z1), g(g(y2)))) F(g(g(g(g(y0)))), g(z1), g(y2)) -> c1(F(g(g(g(y0))), g(z1), g(y2))) F(g(g(g(y0))), g(g(y1)), g(y2)) -> c1(F(g(g(y0)), g(g(y1)), g(y2))) F(g(g(g(0))), g(1), g(y0)) -> c1(F(g(g(0)), g(1), g(y0))) F(0, 1, g(y2)) -> c(F(g(g(y2)), g(g(y2)), g(y2))) F(0, 1, g(g(y2))) -> c(F(g(g(g(y2))), g(g(g(y2))), g(g(y2)))) F(0, 1, g(g(g(y0)))) -> c(F(g(g(g(g(y0)))), g(g(g(g(y0)))), g(g(g(y0))))) F(g(0), 1, g(y0)) -> c1(F(0, 1, g(y0))) F(g(0), 1, g(g(y2))) -> c1(F(0, 1, g(g(y2)))) F(g(0), 1, g(g(g(y0)))) -> c1(F(0, 1, g(g(g(y0))))) F(g(z0), z1, g(g(y2))) -> c1(F(z0, z1, g(g(y2)))) F(g(g(g(0))), 1, g(z2)) -> c1(F(g(g(0)), 1, g(z2))) F(g(g(g(g(y0)))), z1, g(z2)) -> c1(F(g(g(g(y0))), z1, g(z2))) F(g(g(g(y0))), z1, g(g(y2))) -> c1(F(g(g(y0)), z1, g(g(y2)))) F(g(g(g(g(g(y0))))), g(y1), g(z2)) -> c1(F(g(g(g(g(y0)))), g(y1), g(z2))) F(g(g(g(g(y0)))), g(g(y1)), g(z2)) -> c1(F(g(g(g(y0))), g(g(y1)), g(z2))) F(g(g(g(g(0)))), g(1), g(z2)) -> c1(F(g(g(g(0))), g(1), g(z2))) F(g(g(g(g(y0)))), g(y1), g(g(y2))) -> c1(F(g(g(g(y0))), g(y1), g(g(y2)))) F(g(g(0)), 1, g(g(y0))) -> c1(F(g(0), 1, g(g(y0)))) F(g(g(0)), 1, g(g(g(y0)))) -> c1(F(g(0), 1, g(g(g(y0))))) F(0, g(1), g(y0)) -> c2(F(0, 1, g(y0))) F(0, g(1), g(g(y2))) -> c2(F(0, 1, g(g(y2)))) F(0, g(1), g(g(g(y0)))) -> c2(F(0, 1, g(g(g(y0))))) F(z0, g(g(g(y1))), z2) -> c2(F(z0, g(g(y1)), z2)) F(z0, g(g(z1)), g(y2)) -> c2(F(z0, g(z1), g(y2))) F(g(0), g(g(1)), z2) -> c2(F(g(0), g(1), z2)) F(g(g(y0)), g(g(z1)), z2) -> c2(F(g(g(y0)), g(z1), z2)) F(g(y0), g(g(g(y1))), z2) -> c2(F(g(y0), g(g(y1)), z2)) F(g(y0), g(g(z1)), g(y2)) -> c2(F(g(y0), g(z1), g(y2))) F(z0, g(g(z1)), g(g(y2))) -> c2(F(z0, g(z1), g(g(y2)))) F(g(g(y0)), g(g(z1)), g(y2)) -> c2(F(g(g(y0)), g(z1), g(y2))) F(g(y0), g(g(z1)), g(g(y2))) -> c2(F(g(y0), g(z1), g(g(y2)))) F(0, g(g(1)), g(y0)) -> c2(F(0, g(1), g(y0))) F(z0, g(g(g(y1))), g(y2)) -> c2(F(z0, g(g(y1)), g(y2))) F(g(0), g(g(1)), g(y0)) -> c2(F(g(0), g(1), g(y0))) F(g(y0), g(g(g(y1))), g(y2)) -> c2(F(g(y0), g(g(y1)), g(y2))) F(g(g(g(y0))), g(g(z1)), z2) -> c2(F(g(g(g(y0))), g(z1), z2)) F(g(g(y0)), g(g(g(y1))), z2) -> c2(F(g(g(y0)), g(g(y1)), z2)) F(g(g(0)), g(g(1)), z2) -> c2(F(g(g(0)), g(1), z2)) F(g(g(y0)), g(g(z1)), g(g(y2))) -> c2(F(g(g(y0)), g(z1), g(g(y2)))) F(g(g(g(y0))), g(g(z1)), g(y2)) -> c2(F(g(g(g(y0))), g(z1), g(y2))) F(g(g(y0)), g(g(g(y1))), g(y2)) -> c2(F(g(g(y0)), g(g(y1)), g(y2))) F(g(g(0)), g(g(1)), g(y0)) -> c2(F(g(g(0)), g(1), g(y0))) F(g(g(g(g(y0)))), g(g(z1)), z2) -> c2(F(g(g(g(g(y0)))), g(z1), z2)) F(g(g(g(y0))), g(g(g(y1))), z2) -> c2(F(g(g(g(y0))), g(g(y1)), z2)) F(g(g(g(0))), g(g(1)), z2) -> c2(F(g(g(g(0))), g(1), z2)) F(g(g(g(y0))), g(g(z1)), g(g(y2))) -> c2(F(g(g(g(y0))), g(z1), g(g(y2)))) F(g(g(g(g(y0)))), g(g(z1)), g(y2)) -> c2(F(g(g(g(g(y0)))), g(z1), g(y2))) F(g(g(g(y0))), g(g(g(y1))), g(y2)) -> c2(F(g(g(g(y0))), g(g(y1)), g(y2))) F(g(g(g(0))), g(g(1)), g(y0)) -> c2(F(g(g(g(0))), g(1), g(y0))) F(g(g(g(g(g(y0))))), g(g(z1)), g(y2)) -> c2(F(g(g(g(g(g(y0))))), g(z1), g(y2))) F(g(g(g(g(y0)))), g(g(g(y1))), g(y2)) -> c2(F(g(g(g(g(y0)))), g(g(y1)), g(y2))) F(g(g(g(g(0)))), g(g(1)), g(y0)) -> c2(F(g(g(g(g(0)))), g(1), g(y0))) F(g(g(g(g(y0)))), g(g(z1)), g(g(y2))) -> c2(F(g(g(g(g(y0)))), g(z1), g(g(y2)))) F(0, g(g(1)), g(g(y0))) -> c2(F(0, g(1), g(g(y0)))) F(0, g(g(1)), g(g(g(y0)))) -> c2(F(0, g(1), g(g(g(y0))))) F(z0, g(z1), g(g(y2))) -> c2(F(z0, z1, g(g(y2)))) F(g(0), g(1), g(z2)) -> c2(F(g(0), 1, g(z2))) F(g(g(y0)), g(z1), g(z2)) -> c2(F(g(g(y0)), z1, g(z2))) F(g(y0), g(z1), g(g(y2))) -> c2(F(g(y0), z1, g(g(y2)))) F(g(g(0)), g(1), g(z2)) -> c2(F(g(g(0)), 1, g(z2))) F(g(g(g(y0))), g(z1), g(z2)) -> c2(F(g(g(g(y0))), z1, g(z2))) F(g(g(y0)), g(z1), g(g(y2))) -> c2(F(g(g(y0)), z1, g(g(y2)))) F(g(0), g(1), g(g(y0))) -> c2(F(g(0), 1, g(g(y0)))) F(g(0), g(1), g(g(g(y0)))) -> c2(F(g(0), 1, g(g(g(y0))))) F(g(g(g(0))), g(1), g(z2)) -> c2(F(g(g(g(0))), 1, g(z2))) F(g(g(g(g(y0)))), g(z1), g(z2)) -> c2(F(g(g(g(g(y0)))), z1, g(z2))) F(g(g(g(y0))), g(z1), g(g(y2))) -> c2(F(g(g(g(y0))), z1, g(g(y2)))) F(g(g(0)), g(1), g(g(y0))) -> c2(F(g(g(0)), 1, g(g(y0)))) F(g(g(0)), g(1), g(g(g(y0)))) -> c2(F(g(g(0)), 1, g(g(g(y0))))) F(z0, g(g(g(g(y1)))), g(z2)) -> c2(F(z0, g(g(g(y1))), g(z2))) F(g(0), g(g(g(1))), g(z2)) -> c2(F(g(0), g(g(1)), g(z2))) F(g(y0), g(g(g(g(y1)))), g(z2)) -> c2(F(g(y0), g(g(g(y1))), g(z2))) F(z0, g(g(g(y1))), g(g(y2))) -> c2(F(z0, g(g(y1)), g(g(y2)))) F(g(y0), g(g(g(y1))), g(g(y2))) -> c2(F(g(y0), g(g(y1)), g(g(y2)))) F(0, g(g(g(1))), g(z2)) -> c2(F(0, g(g(1)), g(z2))) F(g(g(y0)), g(g(g(g(y1)))), g(z2)) -> c2(F(g(g(y0)), g(g(g(y1))), g(z2))) F(g(g(0)), g(g(g(1))), g(z2)) -> c2(F(g(g(0)), g(g(1)), g(z2))) F(g(g(y0)), g(g(g(y1))), g(g(y2))) -> c2(F(g(g(y0)), g(g(y1)), g(g(y2)))) F(g(g(g(y0))), g(g(g(g(y1)))), g(z2)) -> c2(F(g(g(g(y0))), g(g(g(y1))), g(z2))) F(g(g(g(0))), g(g(g(1))), g(z2)) -> c2(F(g(g(g(0))), g(g(1)), g(z2))) F(g(g(g(y0))), g(g(g(y1))), g(g(y2))) -> c2(F(g(g(g(y0))), g(g(y1)), g(g(y2)))) F(g(g(g(g(g(y0))))), g(g(g(y1))), g(z2)) -> c2(F(g(g(g(g(g(y0))))), g(g(y1)), g(z2))) F(g(g(g(g(y0)))), g(g(g(g(y1)))), g(z2)) -> c2(F(g(g(g(g(y0)))), g(g(g(y1))), g(z2))) F(g(g(g(g(0)))), g(g(g(1))), g(z2)) -> c2(F(g(g(g(g(0)))), g(g(1)), g(z2))) F(g(g(g(g(y0)))), g(g(g(y1))), g(g(y2))) -> c2(F(g(g(g(g(y0)))), g(g(y1)), g(g(y2)))) F(0, g(g(g(1))), g(g(y0))) -> c2(F(0, g(g(1)), g(g(y0)))) F(0, g(g(g(1))), g(g(g(y0)))) -> c2(F(0, g(g(1)), g(g(g(y0))))) F(g(g(0)), g(1), z2) -> c2(F(g(g(0)), 1, z2)) F(g(g(g(y0))), g(z1), z2) -> c2(F(g(g(g(y0))), z1, z2)) F(g(g(z0)), g(g(g(g(y1)))), z2) -> c2(F(g(g(z0)), g(g(g(y1))), z2)) F(g(g(0)), g(g(g(1))), z2) -> c2(F(g(g(0)), g(g(1)), z2)) F(g(g(g(g(y0)))), g(g(g(y1))), z2) -> c2(F(g(g(g(g(y0)))), g(g(y1)), z2)) F(g(g(g(y0))), g(g(g(g(y1)))), z2) -> c2(F(g(g(g(y0))), g(g(g(y1))), z2)) F(g(g(g(0))), g(g(g(1))), z2) -> c2(F(g(g(g(0))), g(g(1)), z2)) F(g(g(0)), g(g(1)), g(g(y0))) -> c2(F(g(g(0)), g(1), g(g(y0)))) F(g(g(0)), g(g(1)), g(g(g(y0)))) -> c2(F(g(g(0)), g(1), g(g(g(y0))))) F(g(g(z0)), g(g(g(g(g(y1))))), g(y2)) -> c2(F(g(g(z0)), g(g(g(g(y1)))), g(y2))) F(g(g(z0)), g(g(g(g(y1)))), g(g(y2))) -> c2(F(g(g(z0)), g(g(g(y1))), g(g(y2)))) F(g(g(0)), g(g(g(g(1)))), g(y0)) -> c2(F(g(g(0)), g(g(g(1))), g(y0))) F(g(g(g(y0))), g(g(g(g(g(y1))))), g(y2)) -> c2(F(g(g(g(y0))), g(g(g(g(y1)))), g(y2))) F(g(g(g(0))), g(g(g(g(1)))), g(y0)) -> c2(F(g(g(g(0))), g(g(g(1))), g(y0))) F(g(g(g(y0))), g(g(g(g(y1)))), g(g(y2))) -> c2(F(g(g(g(y0))), g(g(g(y1))), g(g(y2)))) F(g(g(g(g(g(y0))))), g(g(g(g(y1)))), g(y2)) -> c2(F(g(g(g(g(g(y0))))), g(g(g(y1))), g(y2))) F(g(g(g(g(y0)))), g(g(g(g(g(y1))))), g(y2)) -> c2(F(g(g(g(g(y0)))), g(g(g(g(y1)))), g(y2))) F(g(g(g(g(0)))), g(g(g(g(1)))), g(y0)) -> c2(F(g(g(g(g(0)))), g(g(g(1))), g(y0))) F(g(g(g(g(y0)))), g(g(g(g(y1)))), g(g(y2))) -> c2(F(g(g(g(g(y0)))), g(g(g(y1))), g(g(y2)))) F(g(z0), g(g(g(g(y1)))), z2) -> c2(F(g(z0), g(g(g(y1))), z2)) F(g(0), g(g(g(1))), z2) -> c2(F(g(0), g(g(1)), z2)) F(g(0), g(g(1)), g(g(y0))) -> c2(F(g(0), g(1), g(g(y0)))) F(g(0), g(g(1)), g(g(g(y0)))) -> c2(F(g(0), g(1), g(g(g(y0))))) F(g(z0), g(g(g(g(g(y1))))), g(y2)) -> c2(F(g(z0), g(g(g(g(y1)))), g(y2))) F(g(0), g(g(g(g(1)))), g(y0)) -> c2(F(g(0), g(g(g(1))), g(y0))) F(g(z0), g(g(g(g(y1)))), g(g(y2))) -> c2(F(g(z0), g(g(g(y1))), g(g(y2)))) F(g(g(y0)), g(g(g(g(g(y1))))), z2) -> c2(F(g(g(y0)), g(g(g(g(y1)))), z2)) F(g(g(0)), g(g(g(g(1)))), z2) -> c2(F(g(g(0)), g(g(g(1))), z2)) F(g(g(g(g(y0)))), g(g(g(g(y1)))), z2) -> c2(F(g(g(g(g(y0)))), g(g(g(y1))), z2)) F(g(g(g(y0))), g(g(g(g(g(y1))))), z2) -> c2(F(g(g(g(y0))), g(g(g(g(y1)))), z2)) F(g(g(g(0))), g(g(g(g(1)))), z2) -> c2(F(g(g(g(0))), g(g(g(1))), z2)) F(g(g(0)), g(g(g(1))), g(g(y0))) -> c2(F(g(g(0)), g(g(1)), g(g(y0)))) F(g(g(0)), g(g(g(1))), g(g(g(y0)))) -> c2(F(g(g(0)), g(g(1)), g(g(g(y0))))) F(g(g(y0)), g(g(g(g(g(g(y1)))))), g(y2)) -> c2(F(g(g(y0)), g(g(g(g(g(y1))))), g(y2))) F(g(g(y0)), g(g(g(g(g(y1))))), g(g(y2))) -> c2(F(g(g(y0)), g(g(g(g(y1)))), g(g(y2)))) F(g(g(0)), g(g(g(g(g(1))))), g(y0)) -> c2(F(g(g(0)), g(g(g(g(1)))), g(y0))) F(g(g(g(y0))), g(g(g(g(g(g(y1)))))), g(y2)) -> c2(F(g(g(g(y0))), g(g(g(g(g(y1))))), g(y2))) F(g(g(g(0))), g(g(g(g(g(1))))), g(y0)) -> c2(F(g(g(g(0))), g(g(g(g(1)))), g(y0))) F(g(g(g(y0))), g(g(g(g(g(y1))))), g(g(y2))) -> c2(F(g(g(g(y0))), g(g(g(g(y1)))), g(g(y2)))) F(g(g(g(g(g(y0))))), g(g(g(g(g(y1))))), g(y2)) -> c2(F(g(g(g(g(g(y0))))), g(g(g(g(y1)))), g(y2))) F(g(g(g(g(y0)))), g(g(g(g(g(g(y1)))))), g(y2)) -> c2(F(g(g(g(g(y0)))), g(g(g(g(g(y1))))), g(y2))) F(g(g(g(g(0)))), g(g(g(g(g(1))))), g(y0)) -> c2(F(g(g(g(g(0)))), g(g(g(g(1)))), g(y0))) F(g(g(g(g(y0)))), g(g(g(g(g(y1))))), g(g(y2))) -> c2(F(g(g(g(g(y0)))), g(g(g(g(y1)))), g(g(y2)))) F(g(0), g(g(g(1))), g(g(y0))) -> c2(F(g(0), g(g(1)), g(g(y0)))) F(g(0), g(g(g(1))), g(g(g(y0)))) -> c2(F(g(0), g(g(1)), g(g(g(y0))))) F(g(z0), g(g(g(g(g(g(y1)))))), g(z2)) -> c2(F(g(z0), g(g(g(g(g(y1))))), g(z2))) F(g(0), g(g(g(g(g(1))))), g(z2)) -> c2(F(g(0), g(g(g(g(1)))), g(z2))) F(g(z0), g(g(g(g(g(y1))))), g(g(y2))) -> c2(F(g(z0), g(g(g(g(y1)))), g(g(y2)))) F(g(g(0)), g(g(g(g(1)))), g(g(y0))) -> c2(F(g(g(0)), g(g(g(1))), g(g(y0)))) F(g(g(0)), 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g(g(g(g(g(g(y1)))))), g(g(z2))) -> c3(F(g(g(g(g(g(y0))))), g(g(g(g(g(g(y1)))))), g(z2))) F(g(g(g(g(y0)))), g(g(g(g(g(g(g(y1))))))), g(g(z2))) -> c3(F(g(g(g(g(y0)))), g(g(g(g(g(g(g(y1))))))), g(z2))) F(g(g(g(g(0)))), g(g(g(g(g(g(1)))))), g(g(z2))) -> c3(F(g(g(g(g(0)))), g(g(g(g(g(g(1)))))), g(z2))) F(g(g(g(g(y0)))), g(g(g(g(g(g(y1)))))), g(g(g(y2)))) -> c3(F(g(g(g(g(y0)))), g(g(g(g(g(g(y1)))))), g(g(y2)))) F(0, 1, g(g(g(g(g(y0)))))) -> c3(F(0, 1, g(g(g(g(y0)))))) F(g(0), 1, g(g(g(g(g(y0)))))) -> c3(F(g(0), 1, g(g(g(g(y0)))))) F(g(g(0)), 1, g(z2)) -> c3(F(g(g(0)), 1, z2)) F(g(g(g(y0))), z1, g(z2)) -> c3(F(g(g(g(y0))), z1, z2)) F(g(g(z0)), g(g(y1)), g(z2)) -> c3(F(g(g(z0)), g(g(y1)), z2)) F(g(g(0)), g(1), g(z2)) -> c3(F(g(g(0)), g(1), z2)) F(g(g(g(y0))), g(y1), g(z2)) -> c3(F(g(g(g(y0))), g(y1), z2)) F(g(g(g(g(y0)))), g(y1), g(z2)) -> c3(F(g(g(g(g(y0)))), g(y1), z2)) F(g(g(g(y0))), g(g(y1)), g(z2)) -> c3(F(g(g(g(y0))), g(g(y1)), z2)) F(g(g(g(0))), g(1), g(z2)) -> c3(F(g(g(g(0))), g(1), z2)) F(g(g(z0)), g(g(g(y1))), g(z2)) -> c3(F(g(g(z0)), g(g(g(y1))), z2)) F(g(g(0)), g(g(1)), g(z2)) -> c3(F(g(g(0)), g(g(1)), z2)) F(g(g(g(g(y0)))), g(g(y1)), g(z2)) -> c3(F(g(g(g(g(y0)))), g(g(y1)), z2)) F(g(g(g(y0))), g(g(g(y1))), g(z2)) -> c3(F(g(g(g(y0))), g(g(g(y1))), z2)) F(g(g(g(0))), g(g(1)), g(z2)) -> c3(F(g(g(g(0))), g(g(1)), z2)) F(g(g(z0)), g(g(g(g(y1)))), g(z2)) -> c3(F(g(g(z0)), g(g(g(g(y1)))), z2)) F(g(g(0)), g(g(g(1))), g(z2)) -> c3(F(g(g(0)), g(g(g(1))), z2)) F(g(g(g(g(y0)))), g(g(g(y1))), g(z2)) -> c3(F(g(g(g(g(y0)))), g(g(g(y1))), z2)) F(g(g(g(y0))), g(g(g(g(y1)))), g(z2)) -> c3(F(g(g(g(y0))), g(g(g(g(y1)))), z2)) F(g(g(g(0))), g(g(g(1))), g(z2)) -> c3(F(g(g(g(0))), g(g(g(1))), z2)) F(g(g(z0)), g(g(g(g(g(y1))))), g(z2)) -> c3(F(g(g(z0)), g(g(g(g(g(y1))))), z2)) F(g(g(0)), g(g(g(g(1)))), g(z2)) -> c3(F(g(g(0)), g(g(g(g(1)))), z2)) F(g(g(g(g(y0)))), g(g(g(g(y1)))), g(z2)) -> c3(F(g(g(g(g(y0)))), g(g(g(g(y1)))), z2)) F(g(g(g(y0))), g(g(g(g(g(y1))))), g(z2)) -> 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g(g(y1)), g(g(g(y2))))) F(g(g(g(0))), g(g(1)), g(g(g(y0)))) -> c3(F(g(g(g(0))), g(g(1)), g(g(y0)))) F(g(g(g(y0))), g(g(y1)), g(g(g(g(y2))))) -> c3(F(g(g(g(y0))), g(g(y1)), g(g(g(y2))))) F(g(g(g(g(g(y0))))), g(g(y1)), g(g(g(y2)))) -> c3(F(g(g(g(g(g(y0))))), g(g(y1)), g(g(y2)))) F(g(g(g(g(0)))), g(g(1)), g(g(g(y0)))) -> c3(F(g(g(g(g(0)))), g(g(1)), g(g(y0)))) F(g(g(g(g(y0)))), g(g(y1)), g(g(g(g(y2))))) -> c3(F(g(g(g(g(y0)))), g(g(y1)), g(g(g(y2))))) F(g(g(0)), g(1), g(g(g(g(g(y0)))))) -> c3(F(g(g(0)), g(1), g(g(g(g(y0)))))) F(g(g(z0)), g(g(g(y1))), g(g(g(g(y2))))) -> c3(F(g(g(z0)), g(g(g(y1))), g(g(g(y2))))) F(g(g(g(0))), g(g(g(1))), g(g(g(y0)))) -> c3(F(g(g(g(0))), g(g(g(1))), g(g(y0)))) F(g(g(g(y0))), g(g(g(y1))), g(g(g(g(y2))))) -> c3(F(g(g(g(y0))), g(g(g(y1))), g(g(g(y2))))) F(g(g(g(g(g(y0))))), g(g(g(y1))), g(g(g(y2)))) -> c3(F(g(g(g(g(g(y0))))), g(g(g(y1))), g(g(y2)))) F(g(g(g(g(0)))), g(g(g(1))), g(g(g(y0)))) -> c3(F(g(g(g(g(0)))), g(g(g(1))), g(g(y0)))) F(g(g(g(g(y0)))), g(g(g(y1))), g(g(g(g(y2))))) -> c3(F(g(g(g(g(y0)))), g(g(g(y1))), g(g(g(y2))))) F(g(g(0)), g(g(1)), g(g(g(g(g(y0)))))) -> c3(F(g(g(0)), g(g(1)), g(g(g(g(y0)))))) F(g(g(z0)), g(g(g(g(y1)))), g(g(g(g(y2))))) -> c3(F(g(g(z0)), g(g(g(g(y1)))), g(g(g(y2))))) F(g(g(g(0))), g(g(g(g(1)))), g(g(g(y0)))) -> c3(F(g(g(g(0))), g(g(g(g(1)))), g(g(y0)))) F(g(g(g(y0))), g(g(g(g(y1)))), g(g(g(g(y2))))) -> c3(F(g(g(g(y0))), g(g(g(g(y1)))), g(g(g(y2))))) F(g(g(g(g(g(y0))))), g(g(g(g(y1)))), g(g(g(y2)))) -> c3(F(g(g(g(g(g(y0))))), g(g(g(g(y1)))), g(g(y2)))) F(g(g(g(g(0)))), g(g(g(g(1)))), g(g(g(y0)))) -> c3(F(g(g(g(g(0)))), g(g(g(g(1)))), g(g(y0)))) F(g(g(g(g(y0)))), g(g(g(g(y1)))), g(g(g(g(y2))))) -> c3(F(g(g(g(g(y0)))), g(g(g(g(y1)))), g(g(g(y2))))) F(g(g(0)), g(g(g(1))), g(g(g(g(g(y0)))))) -> c3(F(g(g(0)), g(g(g(1))), g(g(g(g(y0)))))) F(g(g(z0)), g(g(g(g(g(y1))))), g(g(g(g(y2))))) -> c3(F(g(g(z0)), g(g(g(g(g(y1))))), g(g(g(y2))))) F(g(g(0)), g(g(g(g(g(1))))), g(g(g(y0)))) -> c3(F(g(g(0)), g(g(g(g(g(1))))), g(g(y0)))) F(g(g(g(0))), g(g(g(g(g(1))))), g(g(g(y0)))) -> c3(F(g(g(g(0))), g(g(g(g(g(1))))), g(g(y0)))) F(g(g(g(y0))), g(g(g(g(g(y1))))), g(g(g(g(y2))))) -> c3(F(g(g(g(y0))), g(g(g(g(g(y1))))), g(g(g(y2))))) F(g(g(g(g(g(y0))))), g(g(g(g(g(y1))))), g(g(g(y2)))) -> c3(F(g(g(g(g(g(y0))))), g(g(g(g(g(y1))))), g(g(y2)))) F(g(g(g(g(0)))), g(g(g(g(g(1))))), g(g(g(y0)))) -> c3(F(g(g(g(g(0)))), g(g(g(g(g(1))))), g(g(y0)))) F(g(g(g(g(y0)))), g(g(g(g(g(y1))))), g(g(g(g(y2))))) -> c3(F(g(g(g(g(y0)))), g(g(g(g(g(y1))))), g(g(g(y2))))) F(g(g(0)), g(g(g(g(1)))), g(g(g(g(g(y0)))))) -> c3(F(g(g(0)), g(g(g(g(1)))), g(g(g(g(y0)))))) F(g(g(z0)), g(g(g(g(g(g(g(y1))))))), g(g(g(y2)))) -> c3(F(g(g(z0)), g(g(g(g(g(g(g(y1))))))), g(g(y2)))) F(g(g(z0)), g(g(g(g(g(g(y1)))))), g(g(g(g(y2))))) -> c3(F(g(g(z0)), g(g(g(g(g(g(y1)))))), g(g(g(y2))))) F(g(g(0)), g(g(g(g(g(g(1)))))), g(g(g(y0)))) -> c3(F(g(g(0)), g(g(g(g(g(g(1)))))), g(g(y0)))) F(g(g(g(y0))), g(g(g(g(g(g(g(y1))))))), g(g(g(y2)))) -> c3(F(g(g(g(y0))), g(g(g(g(g(g(g(y1))))))), g(g(y2)))) F(g(g(g(0))), g(g(g(g(g(g(1)))))), g(g(g(y0)))) -> c3(F(g(g(g(0))), g(g(g(g(g(g(1)))))), g(g(y0)))) F(g(g(g(y0))), g(g(g(g(g(g(y1)))))), g(g(g(g(y2))))) -> c3(F(g(g(g(y0))), g(g(g(g(g(g(y1)))))), g(g(g(y2))))) F(g(g(g(g(g(y0))))), g(g(g(g(g(g(y1)))))), g(g(g(y2)))) -> c3(F(g(g(g(g(g(y0))))), g(g(g(g(g(g(y1)))))), g(g(y2)))) F(g(g(g(g(y0)))), g(g(g(g(g(g(g(y1))))))), g(g(g(y2)))) -> c3(F(g(g(g(g(y0)))), g(g(g(g(g(g(g(y1))))))), g(g(y2)))) F(g(g(g(g(0)))), g(g(g(g(g(g(1)))))), g(g(g(y0)))) -> c3(F(g(g(g(g(0)))), g(g(g(g(g(g(1)))))), g(g(y0)))) F(g(g(g(g(y0)))), g(g(g(g(g(g(y1)))))), g(g(g(g(y2))))) -> c3(F(g(g(g(g(y0)))), g(g(g(g(g(g(y1)))))), g(g(g(y2))))) F(g(z0), g(g(g(y1))), g(z2)) -> c3(F(g(z0), g(g(g(y1))), z2)) F(g(0), g(g(1)), g(z2)) -> c3(F(g(0), g(g(1)), z2)) F(g(z0), g(g(g(g(y1)))), g(z2)) -> c3(F(g(z0), g(g(g(g(y1)))), z2)) F(g(0), g(g(g(1))), g(z2)) -> c3(F(g(0), g(g(g(1))), z2)) F(g(z0), g(z1), g(g(g(g(y2))))) -> c3(F(g(z0), g(z1), g(g(g(y2))))) F(g(z0), g(g(y1)), g(g(g(g(y2))))) -> c3(F(g(z0), g(g(y1)), g(g(g(y2))))) F(g(0), g(1), g(g(g(g(g(y0)))))) -> c3(F(g(0), g(1), g(g(g(g(y0)))))) F(g(z0), g(g(g(y1))), g(g(g(g(y2))))) -> c3(F(g(z0), g(g(g(y1))), g(g(g(y2))))) F(g(0), g(g(1)), g(g(g(g(g(y0)))))) -> c3(F(g(0), g(g(1)), g(g(g(g(y0)))))) F(g(0), g(g(g(g(1)))), g(g(g(y0)))) -> c3(F(g(0), g(g(g(g(1)))), g(g(y0)))) F(g(z0), g(g(g(g(y1)))), g(g(g(g(y2))))) -> c3(F(g(z0), g(g(g(g(y1)))), g(g(g(y2))))) F(g(0), g(g(g(1))), g(g(g(g(g(y0)))))) -> c3(F(g(0), g(g(g(1))), g(g(g(g(y0)))))) F(g(z0), g(g(g(g(g(g(y1)))))), g(g(g(y2)))) -> c3(F(g(z0), g(g(g(g(g(g(y1)))))), g(g(y2)))) F(g(0), g(g(g(g(g(1))))), g(g(g(y0)))) -> c3(F(g(0), g(g(g(g(g(1))))), g(g(y0)))) F(g(z0), g(g(g(g(g(y1))))), g(g(g(g(y2))))) -> c3(F(g(z0), g(g(g(g(g(y1))))), g(g(g(y2))))) F(g(g(y0)), g(z1), g(g(g(g(g(y2)))))) -> c3(F(g(g(y0)), g(z1), g(g(g(g(y2)))))) F(g(g(g(0))), g(1), g(g(g(g(y0))))) -> c3(F(g(g(g(0))), g(1), g(g(g(y0))))) F(g(g(g(y0))), g(z1), g(g(g(g(g(y2)))))) -> c3(F(g(g(g(y0))), g(z1), g(g(g(g(y2)))))) F(g(g(g(g(g(y0))))), g(z1), g(g(g(g(y2))))) -> c3(F(g(g(g(g(g(y0))))), g(z1), g(g(g(y2))))) F(g(g(g(g(0)))), g(1), g(g(g(g(y0))))) -> c3(F(g(g(g(g(0)))), g(1), g(g(g(y0))))) F(g(g(g(g(y0)))), g(z1), g(g(g(g(g(y2)))))) -> c3(F(g(g(g(g(y0)))), g(z1), g(g(g(g(y2)))))) F(g(g(y0)), g(g(y1)), g(g(g(g(g(y2)))))) -> c3(F(g(g(y0)), g(g(y1)), g(g(g(g(y2)))))) F(g(g(g(0))), g(g(1)), g(g(g(g(y0))))) -> c3(F(g(g(g(0))), g(g(1)), g(g(g(y0))))) F(g(g(g(y0))), g(g(y1)), g(g(g(g(g(y2)))))) -> c3(F(g(g(g(y0))), g(g(y1)), g(g(g(g(y2)))))) F(g(g(g(g(g(y0))))), g(g(y1)), g(g(g(g(y2))))) -> c3(F(g(g(g(g(g(y0))))), g(g(y1)), g(g(g(y2))))) F(g(g(g(g(0)))), g(g(1)), g(g(g(g(y0))))) -> c3(F(g(g(g(g(0)))), g(g(1)), g(g(g(y0))))) F(g(g(g(g(y0)))), g(g(y1)), g(g(g(g(g(y2)))))) -> c3(F(g(g(g(g(y0)))), g(g(y1)), g(g(g(g(y2)))))) F(g(g(0)), g(1), g(g(g(g(g(g(y0))))))) -> c3(F(g(g(0)), g(1), g(g(g(g(g(y0))))))) F(g(g(y0)), g(g(g(y1))), g(g(g(g(g(y2)))))) -> c3(F(g(g(y0)), g(g(g(y1))), g(g(g(g(y2)))))) F(g(g(g(0))), g(g(g(1))), g(g(g(g(y0))))) -> c3(F(g(g(g(0))), g(g(g(1))), g(g(g(y0))))) F(g(g(g(y0))), g(g(g(y1))), g(g(g(g(g(y2)))))) -> c3(F(g(g(g(y0))), g(g(g(y1))), g(g(g(g(y2)))))) F(g(g(g(g(g(y0))))), g(g(g(y1))), g(g(g(g(y2))))) -> c3(F(g(g(g(g(g(y0))))), g(g(g(y1))), g(g(g(y2))))) F(g(g(g(g(0)))), g(g(g(1))), g(g(g(g(y0))))) -> c3(F(g(g(g(g(0)))), g(g(g(1))), g(g(g(y0))))) F(g(g(g(g(y0)))), g(g(g(y1))), g(g(g(g(g(y2)))))) -> c3(F(g(g(g(g(y0)))), g(g(g(y1))), g(g(g(g(y2)))))) F(g(g(0)), g(g(1)), g(g(g(g(g(g(y0))))))) -> c3(F(g(g(0)), g(g(1)), g(g(g(g(g(y0))))))) F(g(g(y0)), g(g(g(g(y1)))), g(g(g(g(g(y2)))))) -> c3(F(g(g(y0)), g(g(g(g(y1)))), g(g(g(g(y2)))))) F(g(g(g(0))), g(g(g(g(1)))), g(g(g(g(y0))))) -> c3(F(g(g(g(0))), g(g(g(g(1)))), g(g(g(y0))))) F(g(g(g(y0))), g(g(g(g(y1)))), g(g(g(g(g(y2)))))) -> c3(F(g(g(g(y0))), g(g(g(g(y1)))), g(g(g(g(y2)))))) F(g(g(g(g(g(y0))))), g(g(g(g(y1)))), g(g(g(g(y2))))) -> c3(F(g(g(g(g(g(y0))))), g(g(g(g(y1)))), g(g(g(y2))))) F(g(g(g(g(0)))), g(g(g(g(1)))), g(g(g(g(y0))))) -> c3(F(g(g(g(g(0)))), g(g(g(g(1)))), g(g(g(y0))))) F(g(g(g(g(y0)))), g(g(g(g(y1)))), g(g(g(g(g(y2)))))) -> c3(F(g(g(g(g(y0)))), g(g(g(g(y1)))), g(g(g(g(y2)))))) F(g(g(0)), g(g(g(1))), g(g(g(g(g(g(y0))))))) -> c3(F(g(g(0)), g(g(g(1))), g(g(g(g(g(y0))))))) F(g(g(y0)), g(g(g(g(g(y1))))), g(g(g(g(g(y2)))))) -> c3(F(g(g(y0)), g(g(g(g(g(y1))))), g(g(g(g(y2)))))) F(g(g(0)), g(g(g(g(g(1))))), g(g(g(g(y0))))) -> c3(F(g(g(0)), g(g(g(g(g(1))))), g(g(g(y0))))) F(g(g(g(0))), g(g(g(g(g(1))))), g(g(g(g(y0))))) -> c3(F(g(g(g(0))), g(g(g(g(g(1))))), g(g(g(y0))))) F(g(g(g(y0))), g(g(g(g(g(y1))))), g(g(g(g(g(y2)))))) -> c3(F(g(g(g(y0))), g(g(g(g(g(y1))))), g(g(g(g(y2)))))) F(g(g(g(g(g(y0))))), g(g(g(g(g(y1))))), g(g(g(g(y2))))) -> c3(F(g(g(g(g(g(y0))))), g(g(g(g(g(y1))))), g(g(g(y2))))) F(g(g(g(g(0)))), g(g(g(g(g(1))))), g(g(g(g(y0))))) -> c3(F(g(g(g(g(0)))), g(g(g(g(g(1))))), 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g(g(g(y2))))) F(g(g(g(g(y0)))), g(g(g(g(g(g(g(y1))))))), g(g(g(g(y2))))) -> c3(F(g(g(g(g(y0)))), g(g(g(g(g(g(g(y1))))))), g(g(g(y2))))) F(g(g(g(g(0)))), g(g(g(g(g(g(1)))))), g(g(g(g(y0))))) -> c3(F(g(g(g(g(0)))), g(g(g(g(g(g(1)))))), g(g(g(y0))))) F(g(g(g(g(y0)))), g(g(g(g(g(g(y1)))))), g(g(g(g(g(y2)))))) -> c3(F(g(g(g(g(y0)))), g(g(g(g(g(g(y1)))))), g(g(g(g(y2)))))) F(g(z0), z1, g(g(g(g(y2))))) -> c3(F(g(z0), z1, g(g(g(y2))))) F(g(0), 1, g(g(g(g(g(g(y0))))))) -> c3(F(g(0), 1, g(g(g(g(g(y0))))))) F(g(g(y0)), z1, g(g(g(g(g(y2)))))) -> c3(F(g(g(y0)), z1, g(g(g(g(y2)))))) F(g(g(g(0))), 1, g(g(g(g(y0))))) -> c3(F(g(g(g(0))), 1, g(g(g(y0))))) F(g(g(g(g(y0)))), z1, g(g(g(g(y2))))) -> c3(F(g(g(g(g(y0)))), z1, g(g(g(y2))))) F(g(g(g(y0))), z1, g(g(g(g(g(y2)))))) -> c3(F(g(g(g(y0))), z1, g(g(g(g(y2)))))) F(g(g(0)), 1, g(g(g(g(g(g(y0))))))) -> c3(F(g(g(0)), 1, g(g(g(g(g(y0))))))) F(g(z0), g(y1), g(g(g(g(g(y2)))))) -> c3(F(g(z0), g(y1), g(g(g(g(y2)))))) F(g(z0), g(g(y1)), g(g(g(g(g(y2)))))) -> c3(F(g(z0), g(g(y1)), g(g(g(g(y2)))))) F(g(0), g(1), g(g(g(g(g(g(y0))))))) -> c3(F(g(0), g(1), g(g(g(g(g(y0))))))) F(g(z0), g(g(g(y1))), g(g(g(g(g(y2)))))) -> c3(F(g(z0), g(g(g(y1))), g(g(g(g(y2)))))) F(g(0), g(g(1)), g(g(g(g(g(g(y0))))))) -> c3(F(g(0), g(g(1)), g(g(g(g(g(y0))))))) F(g(0), g(g(g(g(1)))), g(g(g(g(y0))))) -> c3(F(g(0), g(g(g(g(1)))), g(g(g(y0))))) F(g(z0), g(g(g(g(y1)))), g(g(g(g(g(y2)))))) -> c3(F(g(z0), g(g(g(g(y1)))), g(g(g(g(y2)))))) F(g(0), g(g(g(1))), g(g(g(g(g(g(y0))))))) -> c3(F(g(0), g(g(g(1))), g(g(g(g(g(y0))))))) F(g(z0), g(g(g(g(g(g(y1)))))), g(g(g(g(y2))))) -> c3(F(g(z0), g(g(g(g(g(g(y1)))))), g(g(g(y2))))) F(g(0), g(g(g(g(g(1))))), g(g(g(g(y0))))) -> c3(F(g(0), g(g(g(g(g(1))))), g(g(g(y0))))) F(g(z0), g(g(g(g(g(y1))))), g(g(g(g(g(y2)))))) -> c3(F(g(z0), g(g(g(g(g(y1))))), g(g(g(g(y2)))))) F(g(g(y0)), g(y1), g(g(g(g(g(g(y2))))))) -> c3(F(g(g(y0)), g(y1), g(g(g(g(g(y2))))))) F(g(g(g(0))), g(1), g(g(g(g(g(y0)))))) -> c3(F(g(g(g(0))), g(1), g(g(g(g(y0)))))) F(g(g(g(y0))), g(y1), g(g(g(g(g(g(y2))))))) -> c3(F(g(g(g(y0))), g(y1), g(g(g(g(g(y2))))))) F(g(g(g(g(g(y0))))), g(y1), g(g(g(g(g(y2)))))) -> c3(F(g(g(g(g(g(y0))))), g(y1), g(g(g(g(y2)))))) F(g(g(g(g(0)))), g(1), g(g(g(g(g(y0)))))) -> c3(F(g(g(g(g(0)))), g(1), g(g(g(g(y0)))))) F(g(g(g(g(y0)))), g(y1), g(g(g(g(g(g(y2))))))) -> c3(F(g(g(g(g(y0)))), g(y1), g(g(g(g(g(y2))))))) F(g(g(y0)), g(g(y1)), g(g(g(g(g(g(y2))))))) -> c3(F(g(g(y0)), g(g(y1)), g(g(g(g(g(y2))))))) F(g(g(g(0))), g(g(1)), g(g(g(g(g(y0)))))) -> c3(F(g(g(g(0))), g(g(1)), g(g(g(g(y0)))))) F(g(g(g(y0))), g(g(y1)), g(g(g(g(g(g(y2))))))) -> c3(F(g(g(g(y0))), g(g(y1)), g(g(g(g(g(y2))))))) F(g(g(g(g(g(y0))))), g(g(y1)), g(g(g(g(g(y2)))))) -> c3(F(g(g(g(g(g(y0))))), g(g(y1)), g(g(g(g(y2)))))) F(g(g(g(g(0)))), g(g(1)), g(g(g(g(g(y0)))))) -> c3(F(g(g(g(g(0)))), g(g(1)), g(g(g(g(y0)))))) F(g(g(g(g(y0)))), g(g(y1)), g(g(g(g(g(g(y2))))))) -> c3(F(g(g(g(g(y0)))), g(g(y1)), g(g(g(g(g(y2))))))) F(g(g(0)), g(1), g(g(g(g(g(g(g(y0)))))))) -> c3(F(g(g(0)), g(1), g(g(g(g(g(g(y0)))))))) F(g(g(y0)), g(g(g(y1))), g(g(g(g(g(g(y2))))))) -> c3(F(g(g(y0)), g(g(g(y1))), g(g(g(g(g(y2))))))) F(g(g(g(0))), g(g(g(1))), g(g(g(g(g(y0)))))) -> c3(F(g(g(g(0))), g(g(g(1))), g(g(g(g(y0)))))) F(g(g(g(y0))), g(g(g(y1))), g(g(g(g(g(g(y2))))))) -> c3(F(g(g(g(y0))), g(g(g(y1))), g(g(g(g(g(y2))))))) F(g(g(g(g(g(y0))))), g(g(g(y1))), g(g(g(g(g(y2)))))) -> c3(F(g(g(g(g(g(y0))))), g(g(g(y1))), g(g(g(g(y2)))))) F(g(g(g(g(0)))), g(g(g(1))), g(g(g(g(g(y0)))))) -> c3(F(g(g(g(g(0)))), g(g(g(1))), g(g(g(g(y0)))))) F(g(g(g(g(y0)))), g(g(g(y1))), g(g(g(g(g(g(y2))))))) -> c3(F(g(g(g(g(y0)))), g(g(g(y1))), g(g(g(g(g(y2))))))) F(g(g(0)), g(g(1)), g(g(g(g(g(g(g(y0)))))))) -> c3(F(g(g(0)), g(g(1)), g(g(g(g(g(g(y0)))))))) F(g(g(y0)), g(g(g(g(y1)))), g(g(g(g(g(g(y2))))))) -> c3(F(g(g(y0)), g(g(g(g(y1)))), g(g(g(g(g(y2))))))) F(g(g(g(0))), g(g(g(g(1)))), g(g(g(g(g(y0)))))) -> c3(F(g(g(g(0))), g(g(g(g(1)))), g(g(g(g(y0)))))) F(g(g(g(y0))), g(g(g(g(y1)))), g(g(g(g(g(g(y2))))))) -> c3(F(g(g(g(y0))), g(g(g(g(y1)))), g(g(g(g(g(y2))))))) F(g(g(g(g(g(y0))))), g(g(g(g(y1)))), g(g(g(g(g(y2)))))) -> c3(F(g(g(g(g(g(y0))))), g(g(g(g(y1)))), g(g(g(g(y2)))))) F(g(g(g(g(0)))), g(g(g(g(1)))), g(g(g(g(g(y0)))))) -> c3(F(g(g(g(g(0)))), g(g(g(g(1)))), g(g(g(g(y0)))))) F(g(g(g(g(y0)))), g(g(g(g(y1)))), g(g(g(g(g(g(y2))))))) -> c3(F(g(g(g(g(y0)))), g(g(g(g(y1)))), g(g(g(g(g(y2))))))) F(g(g(0)), g(g(g(1))), g(g(g(g(g(g(g(y0)))))))) -> c3(F(g(g(0)), g(g(g(1))), g(g(g(g(g(g(y0)))))))) F(g(g(y0)), g(g(g(g(g(y1))))), g(g(g(g(g(g(y2))))))) -> c3(F(g(g(y0)), g(g(g(g(g(y1))))), g(g(g(g(g(y2))))))) F(g(g(0)), g(g(g(g(g(1))))), g(g(g(g(g(y0)))))) -> c3(F(g(g(0)), g(g(g(g(g(1))))), g(g(g(g(y0)))))) F(g(g(g(0))), g(g(g(g(g(1))))), g(g(g(g(g(y0)))))) -> c3(F(g(g(g(0))), g(g(g(g(g(1))))), g(g(g(g(y0)))))) F(g(g(g(y0))), g(g(g(g(g(y1))))), g(g(g(g(g(g(y2))))))) -> c3(F(g(g(g(y0))), g(g(g(g(g(y1))))), g(g(g(g(g(y2))))))) F(g(g(g(g(g(y0))))), g(g(g(g(g(y1))))), g(g(g(g(g(y2)))))) -> c3(F(g(g(g(g(g(y0))))), g(g(g(g(g(y1))))), g(g(g(g(y2)))))) F(g(g(g(g(0)))), g(g(g(g(g(1))))), g(g(g(g(g(y0)))))) -> c3(F(g(g(g(g(0)))), g(g(g(g(g(1))))), g(g(g(g(y0)))))) F(g(g(g(g(y0)))), g(g(g(g(g(y1))))), g(g(g(g(g(g(y2))))))) -> c3(F(g(g(g(g(y0)))), g(g(g(g(g(y1))))), g(g(g(g(g(y2))))))) F(g(g(0)), g(g(g(g(1)))), g(g(g(g(g(g(g(y0)))))))) -> c3(F(g(g(0)), g(g(g(g(1)))), g(g(g(g(g(g(y0)))))))) F(g(g(y0)), g(g(g(g(g(g(g(y1))))))), g(g(g(g(g(y2)))))) -> c3(F(g(g(y0)), g(g(g(g(g(g(g(y1))))))), g(g(g(g(y2)))))) F(g(g(y0)), g(g(g(g(g(g(y1)))))), g(g(g(g(g(g(y2))))))) -> c3(F(g(g(y0)), g(g(g(g(g(g(y1)))))), g(g(g(g(g(y2))))))) F(g(g(0)), g(g(g(g(g(g(1)))))), g(g(g(g(g(y0)))))) -> c3(F(g(g(0)), g(g(g(g(g(g(1)))))), g(g(g(g(y0)))))) F(g(g(g(y0))), g(g(g(g(g(g(g(y1))))))), g(g(g(g(g(y2)))))) -> c3(F(g(g(g(y0))), g(g(g(g(g(g(g(y1))))))), g(g(g(g(y2)))))) F(g(g(g(0))), g(g(g(g(g(g(1)))))), g(g(g(g(g(y0)))))) -> c3(F(g(g(g(0))), g(g(g(g(g(g(1)))))), g(g(g(g(y0)))))) F(g(g(g(y0))), g(g(g(g(g(g(y1)))))), g(g(g(g(g(g(y2))))))) -> c3(F(g(g(g(y0))), g(g(g(g(g(g(y1)))))), g(g(g(g(g(y2))))))) F(g(g(g(g(g(y0))))), g(g(g(g(g(g(y1)))))), g(g(g(g(g(y2)))))) -> c3(F(g(g(g(g(g(y0))))), g(g(g(g(g(g(y1)))))), g(g(g(g(y2)))))) F(g(g(g(g(y0)))), g(g(g(g(g(g(g(y1))))))), g(g(g(g(g(y2)))))) -> c3(F(g(g(g(g(y0)))), g(g(g(g(g(g(g(y1))))))), g(g(g(g(y2)))))) F(g(g(g(g(0)))), g(g(g(g(g(g(1)))))), g(g(g(g(g(y0)))))) -> c3(F(g(g(g(g(0)))), g(g(g(g(g(g(1)))))), g(g(g(g(y0)))))) F(g(g(g(g(y0)))), g(g(g(g(g(g(y1)))))), g(g(g(g(g(g(y2))))))) -> c3(F(g(g(g(g(y0)))), g(g(g(g(g(g(y1)))))), g(g(g(g(g(y2))))))) S tuples: F(g(g(0)), 1, z2) -> c1(F(g(0), 1, z2)) F(g(g(g(y0))), z1, z2) -> c1(F(g(g(y0)), z1, z2)) F(g(g(z0)), g(y1), z2) -> c1(F(g(z0), g(y1), z2)) F(g(g(z0)), z1, g(y2)) -> c1(F(g(z0), z1, g(y2))) F(g(g(z0)), g(g(y1)), z2) -> c1(F(g(z0), g(g(y1)), z2)) F(g(g(z0)), g(y1), g(y2)) -> c1(F(g(z0), g(y1), g(y2))) F(g(g(0)), g(1), z2) -> c1(F(g(0), g(1), z2)) F(g(g(g(y0))), g(y1), z2) -> c1(F(g(g(y0)), g(y1), z2)) F(g(g(z0)), z1, g(g(y2))) -> c1(F(g(z0), z1, g(g(y2)))) F(g(g(0)), 1, g(y0)) -> c1(F(g(0), 1, g(y0))) F(g(g(g(y0))), z1, g(y2)) -> c1(F(g(g(y0)), z1, g(y2))) F(g(g(z0)), g(g(y1)), g(y2)) -> c1(F(g(z0), g(g(y1)), g(y2))) F(g(g(z0)), g(y1), g(g(y2))) -> c1(F(g(z0), g(y1), g(g(y2)))) F(g(g(0)), g(1), g(y0)) -> c1(F(g(0), g(1), g(y0))) F(g(g(g(y0))), g(y1), g(y2)) -> c1(F(g(g(y0)), g(y1), g(y2))) F(g(0), g(1), z2) -> c1(F(0, g(1), z2)) F(g(z0), g(g(y1)), z2) -> c1(F(z0, g(g(y1)), z2)) F(g(z0), g(z1), g(y2)) -> c1(F(z0, g(z1), g(y2))) F(g(z0), g(z1), g(g(y2))) -> c1(F(z0, g(z1), g(g(y2)))) F(g(0), g(1), g(y0)) -> c1(F(0, g(1), g(y0))) F(g(z0), g(g(y1)), g(y2)) -> c1(F(z0, g(g(y1)), g(y2))) F(g(g(g(g(y0)))), g(z1), z2) -> c1(F(g(g(g(y0))), g(z1), z2)) F(g(g(g(y0))), g(g(y1)), z2) -> c1(F(g(g(y0)), g(g(y1)), z2)) F(g(g(g(0))), g(1), z2) -> c1(F(g(g(0)), g(1), z2)) F(g(g(g(y0))), g(z1), g(g(y2))) -> c1(F(g(g(y0)), g(z1), g(g(y2)))) F(g(g(g(g(y0)))), g(z1), g(y2)) -> c1(F(g(g(g(y0))), g(z1), g(y2))) F(g(g(g(y0))), g(g(y1)), g(y2)) -> c1(F(g(g(y0)), g(g(y1)), g(y2))) F(g(g(g(0))), g(1), g(y0)) -> c1(F(g(g(0)), g(1), g(y0))) F(0, 1, g(y2)) -> c(F(g(g(y2)), g(g(y2)), g(y2))) F(0, 1, g(g(y2))) -> c(F(g(g(g(y2))), g(g(g(y2))), g(g(y2)))) F(0, 1, g(g(g(y0)))) -> c(F(g(g(g(g(y0)))), g(g(g(g(y0)))), g(g(g(y0))))) F(g(0), 1, g(y0)) -> c1(F(0, 1, g(y0))) F(g(0), 1, g(g(y2))) -> c1(F(0, 1, g(g(y2)))) F(g(0), 1, g(g(g(y0)))) -> c1(F(0, 1, g(g(g(y0))))) F(g(z0), z1, g(g(y2))) -> c1(F(z0, z1, g(g(y2)))) F(g(g(g(0))), 1, g(z2)) -> c1(F(g(g(0)), 1, g(z2))) F(g(g(g(g(y0)))), z1, g(z2)) -> c1(F(g(g(g(y0))), z1, g(z2))) F(g(g(g(y0))), z1, g(g(y2))) -> c1(F(g(g(y0)), z1, g(g(y2)))) F(g(g(g(g(g(y0))))), g(y1), g(z2)) -> c1(F(g(g(g(g(y0)))), g(y1), g(z2))) F(g(g(g(g(y0)))), g(g(y1)), g(z2)) -> c1(F(g(g(g(y0))), g(g(y1)), g(z2))) F(g(g(g(g(0)))), g(1), g(z2)) -> c1(F(g(g(g(0))), g(1), g(z2))) F(g(g(g(g(y0)))), g(y1), g(g(y2))) -> c1(F(g(g(g(y0))), g(y1), g(g(y2)))) F(g(g(0)), 1, g(g(y0))) -> c1(F(g(0), 1, g(g(y0)))) F(g(g(0)), 1, g(g(g(y0)))) -> c1(F(g(0), 1, g(g(g(y0))))) F(0, g(1), g(y0)) -> c2(F(0, 1, g(y0))) F(0, g(1), g(g(y2))) -> c2(F(0, 1, g(g(y2)))) F(0, g(1), g(g(g(y0)))) -> c2(F(0, 1, g(g(g(y0))))) F(z0, g(g(g(y1))), z2) -> c2(F(z0, g(g(y1)), z2)) F(z0, g(g(z1)), g(y2)) -> c2(F(z0, g(z1), g(y2))) F(g(0), g(g(1)), z2) -> c2(F(g(0), g(1), z2)) F(g(g(y0)), g(g(z1)), z2) -> c2(F(g(g(y0)), g(z1), z2)) F(g(y0), g(g(g(y1))), z2) -> c2(F(g(y0), g(g(y1)), z2)) F(g(y0), g(g(z1)), g(y2)) -> c2(F(g(y0), g(z1), g(y2))) F(z0, g(g(z1)), g(g(y2))) -> c2(F(z0, g(z1), g(g(y2)))) F(g(g(y0)), g(g(z1)), g(y2)) -> c2(F(g(g(y0)), g(z1), g(y2))) F(g(y0), g(g(z1)), g(g(y2))) -> c2(F(g(y0), g(z1), g(g(y2)))) F(0, g(g(1)), g(y0)) -> c2(F(0, g(1), g(y0))) F(z0, g(g(g(y1))), g(y2)) -> c2(F(z0, g(g(y1)), g(y2))) F(g(0), g(g(1)), g(y0)) -> c2(F(g(0), g(1), g(y0))) F(g(y0), g(g(g(y1))), g(y2)) -> c2(F(g(y0), g(g(y1)), g(y2))) F(g(g(g(y0))), g(g(z1)), z2) -> c2(F(g(g(g(y0))), g(z1), z2)) F(g(g(y0)), g(g(g(y1))), z2) -> c2(F(g(g(y0)), g(g(y1)), z2)) F(g(g(0)), g(g(1)), z2) -> c2(F(g(g(0)), g(1), z2)) F(g(g(y0)), g(g(z1)), g(g(y2))) -> c2(F(g(g(y0)), g(z1), g(g(y2)))) F(g(g(g(y0))), g(g(z1)), g(y2)) -> c2(F(g(g(g(y0))), g(z1), g(y2))) F(g(g(y0)), g(g(g(y1))), g(y2)) -> c2(F(g(g(y0)), g(g(y1)), g(y2))) F(g(g(0)), g(g(1)), g(y0)) -> c2(F(g(g(0)), g(1), g(y0))) F(g(g(g(g(y0)))), g(g(z1)), z2) -> c2(F(g(g(g(g(y0)))), g(z1), z2)) F(g(g(g(y0))), g(g(g(y1))), z2) -> c2(F(g(g(g(y0))), g(g(y1)), z2)) F(g(g(g(0))), g(g(1)), z2) -> c2(F(g(g(g(0))), g(1), z2)) F(g(g(g(y0))), g(g(z1)), g(g(y2))) -> c2(F(g(g(g(y0))), g(z1), g(g(y2)))) F(g(g(g(g(y0)))), g(g(z1)), g(y2)) -> c2(F(g(g(g(g(y0)))), g(z1), g(y2))) F(g(g(g(y0))), g(g(g(y1))), g(y2)) -> c2(F(g(g(g(y0))), g(g(y1)), g(y2))) F(g(g(g(0))), g(g(1)), g(y0)) -> c2(F(g(g(g(0))), g(1), g(y0))) F(g(g(g(g(g(y0))))), g(g(z1)), g(y2)) -> c2(F(g(g(g(g(g(y0))))), g(z1), g(y2))) F(g(g(g(g(y0)))), g(g(g(y1))), g(y2)) -> c2(F(g(g(g(g(y0)))), g(g(y1)), g(y2))) F(g(g(g(g(0)))), g(g(1)), g(y0)) -> c2(F(g(g(g(g(0)))), g(1), g(y0))) F(g(g(g(g(y0)))), g(g(z1)), g(g(y2))) -> c2(F(g(g(g(g(y0)))), g(z1), g(g(y2)))) F(0, g(g(1)), g(g(y0))) -> c2(F(0, g(1), g(g(y0)))) F(0, g(g(1)), g(g(g(y0)))) -> c2(F(0, g(1), g(g(g(y0))))) F(z0, g(z1), g(g(y2))) -> c2(F(z0, z1, g(g(y2)))) F(g(0), g(1), g(z2)) -> c2(F(g(0), 1, g(z2))) F(g(g(y0)), g(z1), g(z2)) -> c2(F(g(g(y0)), z1, g(z2))) F(g(y0), g(z1), g(g(y2))) -> c2(F(g(y0), z1, g(g(y2)))) F(g(g(0)), g(1), g(z2)) -> c2(F(g(g(0)), 1, g(z2))) F(g(g(g(y0))), g(z1), g(z2)) -> c2(F(g(g(g(y0))), z1, g(z2))) F(g(g(y0)), g(z1), g(g(y2))) -> c2(F(g(g(y0)), z1, g(g(y2)))) F(g(0), g(1), g(g(y0))) -> c2(F(g(0), 1, g(g(y0)))) F(g(0), g(1), g(g(g(y0)))) -> c2(F(g(0), 1, g(g(g(y0))))) F(g(g(g(0))), g(1), g(z2)) -> c2(F(g(g(g(0))), 1, g(z2))) F(g(g(g(g(y0)))), g(z1), g(z2)) -> c2(F(g(g(g(g(y0)))), z1, g(z2))) F(g(g(g(y0))), g(z1), g(g(y2))) -> c2(F(g(g(g(y0))), z1, g(g(y2)))) F(g(g(0)), g(1), g(g(y0))) -> c2(F(g(g(0)), 1, g(g(y0)))) F(g(g(0)), g(1), g(g(g(y0)))) -> c2(F(g(g(0)), 1, g(g(g(y0))))) F(z0, g(g(g(g(y1)))), g(z2)) -> c2(F(z0, g(g(g(y1))), g(z2))) F(g(0), g(g(g(1))), g(z2)) -> c2(F(g(0), g(g(1)), g(z2))) F(g(y0), g(g(g(g(y1)))), g(z2)) -> c2(F(g(y0), g(g(g(y1))), g(z2))) F(z0, g(g(g(y1))), g(g(y2))) -> c2(F(z0, g(g(y1)), g(g(y2)))) F(g(y0), g(g(g(y1))), g(g(y2))) -> c2(F(g(y0), g(g(y1)), g(g(y2)))) F(0, g(g(g(1))), g(z2)) -> c2(F(0, g(g(1)), g(z2))) F(g(g(y0)), g(g(g(g(y1)))), g(z2)) -> c2(F(g(g(y0)), g(g(g(y1))), g(z2))) F(g(g(0)), g(g(g(1))), g(z2)) -> c2(F(g(g(0)), g(g(1)), g(z2))) F(g(g(y0)), g(g(g(y1))), g(g(y2))) -> c2(F(g(g(y0)), g(g(y1)), g(g(y2)))) F(g(g(g(y0))), g(g(g(g(y1)))), g(z2)) -> c2(F(g(g(g(y0))), g(g(g(y1))), g(z2))) F(g(g(g(0))), g(g(g(1))), g(z2)) -> c2(F(g(g(g(0))), g(g(1)), g(z2))) F(g(g(g(y0))), g(g(g(y1))), g(g(y2))) -> c2(F(g(g(g(y0))), g(g(y1)), g(g(y2)))) F(g(g(g(g(g(y0))))), g(g(g(y1))), g(z2)) -> c2(F(g(g(g(g(g(y0))))), g(g(y1)), g(z2))) F(g(g(g(g(y0)))), g(g(g(g(y1)))), g(z2)) -> c2(F(g(g(g(g(y0)))), g(g(g(y1))), g(z2))) F(g(g(g(g(0)))), g(g(g(1))), g(z2)) -> c2(F(g(g(g(g(0)))), g(g(1)), g(z2))) F(g(g(g(g(y0)))), g(g(g(y1))), g(g(y2))) -> c2(F(g(g(g(g(y0)))), g(g(y1)), g(g(y2)))) F(0, g(g(g(1))), g(g(y0))) -> c2(F(0, g(g(1)), g(g(y0)))) F(0, g(g(g(1))), g(g(g(y0)))) -> c2(F(0, g(g(1)), g(g(g(y0))))) F(g(g(0)), g(1), z2) -> c2(F(g(g(0)), 1, z2)) F(g(g(g(y0))), g(z1), z2) -> c2(F(g(g(g(y0))), z1, z2)) F(g(g(z0)), g(g(g(g(y1)))), z2) -> c2(F(g(g(z0)), g(g(g(y1))), z2)) F(g(g(0)), g(g(g(1))), z2) -> c2(F(g(g(0)), g(g(1)), z2)) F(g(g(g(g(y0)))), g(g(g(y1))), z2) -> c2(F(g(g(g(g(y0)))), g(g(y1)), z2)) F(g(g(g(y0))), g(g(g(g(y1)))), z2) -> c2(F(g(g(g(y0))), g(g(g(y1))), z2)) F(g(g(g(0))), g(g(g(1))), z2) -> c2(F(g(g(g(0))), g(g(1)), z2)) F(g(g(0)), g(g(1)), g(g(y0))) -> c2(F(g(g(0)), g(1), g(g(y0)))) F(g(g(0)), g(g(1)), g(g(g(y0)))) -> c2(F(g(g(0)), g(1), g(g(g(y0))))) F(g(g(z0)), g(g(g(g(g(y1))))), g(y2)) -> c2(F(g(g(z0)), g(g(g(g(y1)))), g(y2))) F(g(g(z0)), g(g(g(g(y1)))), g(g(y2))) -> c2(F(g(g(z0)), g(g(g(y1))), g(g(y2)))) F(g(g(0)), g(g(g(g(1)))), g(y0)) -> c2(F(g(g(0)), g(g(g(1))), g(y0))) F(g(g(g(y0))), g(g(g(g(g(y1))))), g(y2)) -> c2(F(g(g(g(y0))), g(g(g(g(y1)))), g(y2))) F(g(g(g(0))), g(g(g(g(1)))), g(y0)) -> c2(F(g(g(g(0))), g(g(g(1))), g(y0))) F(g(g(g(y0))), g(g(g(g(y1)))), g(g(y2))) -> c2(F(g(g(g(y0))), g(g(g(y1))), g(g(y2)))) F(g(g(g(g(g(y0))))), g(g(g(g(y1)))), g(y2)) -> c2(F(g(g(g(g(g(y0))))), g(g(g(y1))), g(y2))) F(g(g(g(g(y0)))), g(g(g(g(g(y1))))), g(y2)) -> c2(F(g(g(g(g(y0)))), g(g(g(g(y1)))), g(y2))) F(g(g(g(g(0)))), g(g(g(g(1)))), g(y0)) -> c2(F(g(g(g(g(0)))), g(g(g(1))), g(y0))) F(g(g(g(g(y0)))), g(g(g(g(y1)))), g(g(y2))) -> c2(F(g(g(g(g(y0)))), g(g(g(y1))), g(g(y2)))) F(g(z0), g(g(g(g(y1)))), z2) -> c2(F(g(z0), g(g(g(y1))), z2)) F(g(0), g(g(g(1))), z2) -> c2(F(g(0), g(g(1)), z2)) F(g(0), g(g(1)), g(g(y0))) -> c2(F(g(0), g(1), g(g(y0)))) F(g(0), g(g(1)), g(g(g(y0)))) -> c2(F(g(0), g(1), g(g(g(y0))))) F(g(z0), g(g(g(g(g(y1))))), g(y2)) -> c2(F(g(z0), g(g(g(g(y1)))), g(y2))) F(g(0), g(g(g(g(1)))), g(y0)) -> c2(F(g(0), g(g(g(1))), g(y0))) F(g(z0), g(g(g(g(y1)))), g(g(y2))) -> c2(F(g(z0), g(g(g(y1))), g(g(y2)))) F(g(g(y0)), g(g(g(g(g(y1))))), z2) -> c2(F(g(g(y0)), g(g(g(g(y1)))), z2)) F(g(g(0)), g(g(g(g(1)))), z2) -> c2(F(g(g(0)), g(g(g(1))), z2)) F(g(g(g(g(y0)))), g(g(g(g(y1)))), z2) -> c2(F(g(g(g(g(y0)))), g(g(g(y1))), z2)) F(g(g(g(y0))), g(g(g(g(g(y1))))), z2) -> c2(F(g(g(g(y0))), g(g(g(g(y1)))), z2)) F(g(g(g(0))), g(g(g(g(1)))), z2) -> c2(F(g(g(g(0))), g(g(g(1))), z2)) F(g(g(0)), g(g(g(1))), g(g(y0))) -> c2(F(g(g(0)), g(g(1)), g(g(y0)))) F(g(g(0)), g(g(g(1))), g(g(g(y0)))) -> c2(F(g(g(0)), g(g(1)), g(g(g(y0))))) F(g(g(y0)), g(g(g(g(g(g(y1)))))), g(y2)) -> c2(F(g(g(y0)), g(g(g(g(g(y1))))), g(y2))) F(g(g(y0)), g(g(g(g(g(y1))))), g(g(y2))) -> c2(F(g(g(y0)), g(g(g(g(y1)))), g(g(y2)))) F(g(g(0)), g(g(g(g(g(1))))), g(y0)) -> c2(F(g(g(0)), g(g(g(g(1)))), g(y0))) F(g(g(g(y0))), g(g(g(g(g(g(y1)))))), g(y2)) -> c2(F(g(g(g(y0))), g(g(g(g(g(y1))))), g(y2))) F(g(g(g(0))), g(g(g(g(g(1))))), g(y0)) -> c2(F(g(g(g(0))), g(g(g(g(1)))), g(y0))) F(g(g(g(y0))), g(g(g(g(g(y1))))), g(g(y2))) -> c2(F(g(g(g(y0))), g(g(g(g(y1)))), g(g(y2)))) F(g(g(g(g(g(y0))))), g(g(g(g(g(y1))))), g(y2)) -> c2(F(g(g(g(g(g(y0))))), g(g(g(g(y1)))), g(y2))) F(g(g(g(g(y0)))), g(g(g(g(g(g(y1)))))), g(y2)) -> c2(F(g(g(g(g(y0)))), g(g(g(g(g(y1))))), g(y2))) F(g(g(g(g(0)))), g(g(g(g(g(1))))), g(y0)) -> c2(F(g(g(g(g(0)))), g(g(g(g(1)))), g(y0))) F(g(g(g(g(y0)))), g(g(g(g(g(y1))))), g(g(y2))) -> c2(F(g(g(g(g(y0)))), g(g(g(g(y1)))), g(g(y2)))) F(g(0), g(g(g(1))), g(g(y0))) -> c2(F(g(0), g(g(1)), g(g(y0)))) F(g(0), g(g(g(1))), g(g(g(y0)))) -> c2(F(g(0), g(g(1)), g(g(g(y0))))) F(g(z0), g(g(g(g(g(g(y1)))))), g(z2)) -> c2(F(g(z0), g(g(g(g(g(y1))))), g(z2))) F(g(0), g(g(g(g(g(1))))), g(z2)) -> c2(F(g(0), g(g(g(g(1)))), g(z2))) F(g(z0), g(g(g(g(g(y1))))), g(g(y2))) -> c2(F(g(z0), g(g(g(g(y1)))), g(g(y2)))) F(g(g(0)), g(g(g(g(1)))), g(g(y0))) -> c2(F(g(g(0)), g(g(g(1))), g(g(y0)))) F(g(g(0)), g(g(g(g(1)))), g(g(g(y0)))) -> c2(F(g(g(0)), g(g(g(1))), g(g(g(y0))))) F(g(g(y0)), g(g(g(g(g(g(g(y1))))))), g(z2)) -> c2(F(g(g(y0)), g(g(g(g(g(g(y1)))))), g(z2))) F(g(g(y0)), g(g(g(g(g(g(y1)))))), g(g(y2))) -> c2(F(g(g(y0)), g(g(g(g(g(y1))))), g(g(y2)))) F(g(g(0)), g(g(g(g(g(g(1)))))), g(z2)) -> c2(F(g(g(0)), g(g(g(g(g(1))))), g(z2))) F(g(g(g(y0))), g(g(g(g(g(g(g(y1))))))), g(z2)) -> c2(F(g(g(g(y0))), g(g(g(g(g(g(y1)))))), g(z2))) F(g(g(g(0))), g(g(g(g(g(g(1)))))), g(z2)) -> c2(F(g(g(g(0))), g(g(g(g(g(1))))), g(z2))) F(g(g(g(y0))), g(g(g(g(g(g(y1)))))), g(g(y2))) -> c2(F(g(g(g(y0))), g(g(g(g(g(y1))))), g(g(y2)))) F(g(g(g(g(g(y0))))), g(g(g(g(g(g(y1)))))), g(z2)) -> c2(F(g(g(g(g(g(y0))))), g(g(g(g(g(y1))))), g(z2))) F(g(g(g(g(y0)))), g(g(g(g(g(g(g(y1))))))), g(z2)) -> c2(F(g(g(g(g(y0)))), g(g(g(g(g(g(y1)))))), g(z2))) F(g(g(g(g(0)))), g(g(g(g(g(g(1)))))), g(z2)) -> c2(F(g(g(g(g(0)))), g(g(g(g(g(1))))), g(z2))) F(g(g(g(g(y0)))), g(g(g(g(g(g(y1)))))), g(g(y2))) -> c2(F(g(g(g(g(y0)))), g(g(g(g(g(y1))))), g(g(y2)))) K tuples: F(0, g(1), g(z2)) -> c3(F(0, g(1), z2)) F(z0, g(g(y1)), g(z2)) -> c3(F(z0, g(g(y1)), z2)) F(z0, g(y1), g(g(y2))) -> c3(F(z0, g(y1), g(y2))) F(g(0), g(1), g(z2)) -> c3(F(g(0), g(1), z2)) F(g(g(y0)), g(y1), g(z2)) -> c3(F(g(g(y0)), g(y1), z2)) F(g(y0), g(g(y1)), g(z2)) -> c3(F(g(y0), g(g(y1)), z2)) F(g(y0), g(y1), g(g(y2))) -> c3(F(g(y0), g(y1), g(y2))) F(0, 1, g(g(y0))) -> c3(F(0, 1, g(y0))) F(0, 1, g(g(g(y2)))) -> c3(F(0, 1, g(g(y2)))) F(0, 1, g(g(g(g(y0))))) -> c3(F(0, 1, g(g(g(y0))))) F(z0, z1, g(g(g(y2)))) -> c3(F(z0, z1, g(g(y2)))) F(g(0), 1, g(g(z2))) -> c3(F(g(0), 1, g(z2))) F(g(g(y0)), z1, g(g(z2))) -> c3(F(g(g(y0)), z1, g(z2))) F(g(y0), z1, g(g(g(y2)))) -> c3(F(g(y0), z1, g(g(y2)))) F(0, g(1), g(g(z2))) -> c3(F(0, g(1), g(z2))) F(z0, g(g(y1)), g(g(z2))) -> c3(F(z0, g(g(y1)), g(z2))) F(z0, g(y1), g(g(g(y2)))) -> c3(F(z0, g(y1), g(g(y2)))) F(g(0), g(1), g(g(z2))) -> c3(F(g(0), g(1), g(z2))) F(g(g(y0)), g(y1), g(g(z2))) -> c3(F(g(g(y0)), g(y1), g(z2))) F(g(y0), g(g(y1)), g(g(z2))) -> c3(F(g(y0), g(g(y1)), g(z2))) F(g(y0), g(y1), g(g(g(y2)))) -> c3(F(g(y0), g(y1), g(g(y2)))) F(g(g(0)), 1, g(g(z2))) -> c3(F(g(g(0)), 1, g(z2))) F(g(g(g(y0))), z1, g(g(z2))) -> c3(F(g(g(g(y0))), z1, g(z2))) F(g(g(y0)), g(g(y1)), g(g(z2))) -> c3(F(g(g(y0)), g(g(y1)), g(z2))) F(g(g(0)), g(1), g(g(z2))) -> c3(F(g(g(0)), g(1), g(z2))) F(g(g(g(y0))), g(y1), g(g(z2))) -> c3(F(g(g(g(y0))), g(y1), g(z2))) F(g(g(y0)), z1, g(g(g(y2)))) -> c3(F(g(g(y0)), z1, g(g(y2)))) F(g(g(y0)), g(y1), g(g(g(y2)))) -> c3(F(g(g(y0)), g(y1), g(g(y2)))) F(g(g(g(g(y0)))), g(y1), g(g(z2))) -> c3(F(g(g(g(g(y0)))), g(y1), g(z2))) F(g(g(g(y0))), g(g(y1)), g(g(z2))) -> c3(F(g(g(g(y0))), g(g(y1)), g(z2))) F(g(g(g(0))), g(1), g(g(z2))) -> c3(F(g(g(g(0))), g(1), g(z2))) F(g(g(g(y0))), g(y1), g(g(g(y2)))) -> c3(F(g(g(g(y0))), g(y1), g(g(y2)))) F(g(0), 1, g(g(g(y0)))) -> c3(F(g(0), 1, g(g(y0)))) F(g(0), 1, g(g(g(g(y0))))) -> c3(F(g(0), 1, g(g(g(y0))))) F(g(g(g(0))), 1, g(g(z2))) -> c3(F(g(g(g(0))), 1, g(z2))) F(g(g(g(g(y0)))), z1, g(g(z2))) -> c3(F(g(g(g(g(y0)))), z1, g(z2))) F(g(g(g(y0))), z1, g(g(g(y2)))) -> c3(F(g(g(g(y0))), z1, g(g(y2)))) F(g(g(g(g(g(y0))))), g(y1), g(g(z2))) -> c3(F(g(g(g(g(g(y0))))), g(y1), g(z2))) F(g(g(g(g(y0)))), g(g(y1)), g(g(z2))) -> c3(F(g(g(g(g(y0)))), g(g(y1)), g(z2))) F(g(g(g(g(0)))), g(1), g(g(z2))) -> c3(F(g(g(g(g(0)))), g(1), g(z2))) F(g(g(g(g(y0)))), g(y1), g(g(g(y2)))) -> c3(F(g(g(g(g(y0)))), g(y1), g(g(y2)))) F(g(g(0)), 1, g(g(g(y0)))) -> c3(F(g(g(0)), 1, g(g(y0)))) F(g(g(0)), 1, g(g(g(g(y0))))) -> c3(F(g(g(0)), 1, g(g(g(y0))))) F(0, g(1), g(g(g(y0)))) -> c3(F(0, g(1), g(g(y0)))) F(0, g(1), g(g(g(g(y0))))) -> c3(F(0, g(1), g(g(g(y0))))) F(z0, g(g(g(y1))), g(g(z2))) -> c3(F(z0, g(g(g(y1))), g(z2))) F(g(0), g(g(1)), g(g(z2))) -> c3(F(g(0), g(g(1)), g(z2))) F(g(y0), g(g(g(y1))), g(g(z2))) -> c3(F(g(y0), g(g(g(y1))), g(z2))) F(z0, g(g(y1)), g(g(g(y2)))) -> c3(F(z0, g(g(y1)), g(g(y2)))) F(g(y0), g(g(y1)), g(g(g(y2)))) -> c3(F(g(y0), g(g(y1)), g(g(y2)))) F(0, g(g(1)), g(g(z2))) -> c3(F(0, g(g(1)), g(z2))) F(g(g(y0)), g(g(g(y1))), g(g(z2))) -> c3(F(g(g(y0)), g(g(g(y1))), g(z2))) F(g(g(0)), g(g(1)), g(g(z2))) -> c3(F(g(g(0)), g(g(1)), g(z2))) F(g(g(y0)), g(g(y1)), g(g(g(y2)))) -> c3(F(g(g(y0)), g(g(y1)), g(g(y2)))) F(g(g(g(y0))), g(g(g(y1))), g(g(z2))) -> c3(F(g(g(g(y0))), g(g(g(y1))), g(z2))) F(g(g(g(0))), g(g(1)), g(g(z2))) -> c3(F(g(g(g(0))), g(g(1)), g(z2))) F(g(g(g(y0))), g(g(y1)), g(g(g(y2)))) -> c3(F(g(g(g(y0))), g(g(y1)), g(g(y2)))) F(g(g(g(g(g(y0))))), g(g(y1)), g(g(z2))) -> c3(F(g(g(g(g(g(y0))))), g(g(y1)), g(z2))) F(g(g(g(g(y0)))), g(g(g(y1))), g(g(z2))) -> c3(F(g(g(g(g(y0)))), g(g(g(y1))), g(z2))) F(g(g(g(g(0)))), g(g(1)), g(g(z2))) -> c3(F(g(g(g(g(0)))), g(g(1)), g(z2))) F(g(g(g(g(y0)))), g(g(y1)), g(g(g(y2)))) -> c3(F(g(g(g(g(y0)))), g(g(y1)), g(g(y2)))) F(0, g(g(1)), g(g(g(y0)))) -> c3(F(0, g(g(1)), g(g(y0)))) F(0, g(g(1)), g(g(g(g(y0))))) -> c3(F(0, g(g(1)), g(g(g(y0))))) F(g(0), g(1), g(g(g(y0)))) -> c3(F(g(0), g(1), g(g(y0)))) F(g(0), g(1), g(g(g(g(y0))))) -> c3(F(g(0), g(1), g(g(g(y0))))) F(g(g(0)), g(1), g(g(g(y0)))) -> c3(F(g(g(0)), g(1), g(g(y0)))) F(g(g(0)), g(1), g(g(g(g(y0))))) -> c3(F(g(g(0)), g(1), g(g(g(y0))))) F(z0, g(g(g(g(y1)))), g(g(z2))) -> c3(F(z0, g(g(g(g(y1)))), g(z2))) F(g(0), g(g(g(1))), g(g(z2))) -> c3(F(g(0), g(g(g(1))), g(z2))) F(g(y0), g(g(g(g(y1)))), g(g(z2))) -> c3(F(g(y0), g(g(g(g(y1)))), g(z2))) F(z0, g(g(g(y1))), g(g(g(y2)))) -> c3(F(z0, g(g(g(y1))), g(g(y2)))) F(g(y0), g(g(g(y1))), g(g(g(y2)))) -> c3(F(g(y0), g(g(g(y1))), g(g(y2)))) F(0, g(g(g(1))), g(g(z2))) -> c3(F(0, g(g(g(1))), g(z2))) F(g(g(y0)), g(g(g(g(y1)))), g(g(z2))) -> c3(F(g(g(y0)), g(g(g(g(y1)))), g(z2))) F(g(g(0)), g(g(g(1))), g(g(z2))) -> c3(F(g(g(0)), g(g(g(1))), g(z2))) F(g(g(y0)), g(g(g(y1))), g(g(g(y2)))) -> c3(F(g(g(y0)), 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F(g(g(g(g(y0)))), g(g(g(g(g(g(y1)))))), g(g(z2))) -> c3(F(g(g(g(g(y0)))), g(g(g(g(g(g(y1)))))), g(z2))) F(g(g(g(g(0)))), g(g(g(g(g(1))))), g(g(z2))) -> c3(F(g(g(g(g(0)))), g(g(g(g(g(1))))), g(z2))) F(g(g(g(g(y0)))), g(g(g(g(g(y1))))), g(g(g(y2)))) -> c3(F(g(g(g(g(y0)))), g(g(g(g(g(y1))))), g(g(y2)))) F(g(0), g(g(g(1))), g(g(g(y0)))) -> c3(F(g(0), g(g(g(1))), g(g(y0)))) F(g(0), g(g(g(1))), g(g(g(g(y0))))) -> c3(F(g(0), g(g(g(1))), g(g(g(y0))))) F(g(y0), g(g(g(g(g(g(y1)))))), g(g(z2))) -> c3(F(g(y0), g(g(g(g(g(g(y1)))))), g(z2))) F(g(0), g(g(g(g(g(1))))), g(g(z2))) -> c3(F(g(0), g(g(g(g(g(1))))), g(z2))) F(g(y0), g(g(g(g(g(y1))))), g(g(g(y2)))) -> c3(F(g(y0), g(g(g(g(g(y1))))), g(g(y2)))) F(g(g(0)), g(g(g(g(1)))), g(g(g(y0)))) -> c3(F(g(g(0)), g(g(g(g(1)))), g(g(y0)))) F(g(g(0)), g(g(g(g(1)))), g(g(g(g(y0))))) -> c3(F(g(g(0)), g(g(g(g(1)))), g(g(g(y0))))) F(g(g(y0)), g(g(g(g(g(g(g(y1))))))), g(g(z2))) -> c3(F(g(g(y0)), g(g(g(g(g(g(g(y1))))))), g(z2))) F(g(g(y0)), g(g(g(g(g(g(y1)))))), g(g(g(y2)))) -> c3(F(g(g(y0)), g(g(g(g(g(g(y1)))))), g(g(y2)))) F(g(g(0)), g(g(g(g(g(g(1)))))), g(g(z2))) -> c3(F(g(g(0)), g(g(g(g(g(g(1)))))), g(z2))) F(g(g(g(y0))), g(g(g(g(g(g(g(y1))))))), g(g(z2))) -> c3(F(g(g(g(y0))), g(g(g(g(g(g(g(y1))))))), g(z2))) F(g(g(g(0))), g(g(g(g(g(g(1)))))), g(g(z2))) -> c3(F(g(g(g(0))), g(g(g(g(g(g(1)))))), g(z2))) F(g(g(g(y0))), g(g(g(g(g(g(y1)))))), g(g(g(y2)))) -> c3(F(g(g(g(y0))), g(g(g(g(g(g(y1)))))), g(g(y2)))) F(g(g(g(g(g(y0))))), g(g(g(g(g(g(y1)))))), g(g(z2))) -> c3(F(g(g(g(g(g(y0))))), g(g(g(g(g(g(y1)))))), g(z2))) F(g(g(g(g(y0)))), g(g(g(g(g(g(g(y1))))))), g(g(z2))) -> c3(F(g(g(g(g(y0)))), g(g(g(g(g(g(g(y1))))))), g(z2))) F(g(g(g(g(0)))), g(g(g(g(g(g(1)))))), g(g(z2))) -> c3(F(g(g(g(g(0)))), g(g(g(g(g(g(1)))))), g(z2))) F(g(g(g(g(y0)))), g(g(g(g(g(g(y1)))))), g(g(g(y2)))) -> c3(F(g(g(g(g(y0)))), g(g(g(g(g(g(y1)))))), g(g(y2)))) F(0, 1, g(g(g(g(g(y0)))))) -> c3(F(0, 1, g(g(g(g(y0)))))) F(g(0), 1, g(g(g(g(g(y0)))))) -> c3(F(g(0), 1, g(g(g(g(y0)))))) F(g(g(0)), 1, g(z2)) -> c3(F(g(g(0)), 1, z2)) F(g(g(g(y0))), z1, g(z2)) -> c3(F(g(g(g(y0))), z1, z2)) F(g(g(z0)), g(g(y1)), g(z2)) -> c3(F(g(g(z0)), g(g(y1)), z2)) F(g(g(0)), g(1), g(z2)) -> c3(F(g(g(0)), g(1), z2)) F(g(g(g(y0))), g(y1), g(z2)) -> c3(F(g(g(g(y0))), g(y1), z2)) F(g(g(g(g(y0)))), g(y1), g(z2)) -> c3(F(g(g(g(g(y0)))), g(y1), z2)) F(g(g(g(y0))), g(g(y1)), g(z2)) -> c3(F(g(g(g(y0))), g(g(y1)), z2)) F(g(g(g(0))), g(1), g(z2)) -> c3(F(g(g(g(0))), g(1), z2)) F(g(g(z0)), g(g(g(y1))), g(z2)) -> c3(F(g(g(z0)), g(g(g(y1))), z2)) F(g(g(0)), g(g(1)), g(z2)) -> c3(F(g(g(0)), g(g(1)), z2)) F(g(g(g(g(y0)))), g(g(y1)), g(z2)) -> c3(F(g(g(g(g(y0)))), g(g(y1)), z2)) F(g(g(g(y0))), g(g(g(y1))), g(z2)) -> c3(F(g(g(g(y0))), g(g(g(y1))), z2)) F(g(g(g(0))), g(g(1)), g(z2)) -> c3(F(g(g(g(0))), g(g(1)), z2)) F(g(g(z0)), g(g(g(g(y1)))), g(z2)) -> c3(F(g(g(z0)), g(g(g(g(y1)))), z2)) F(g(g(0)), g(g(g(1))), g(z2)) -> c3(F(g(g(0)), g(g(g(1))), z2)) F(g(g(g(g(y0)))), g(g(g(y1))), g(z2)) -> c3(F(g(g(g(g(y0)))), g(g(g(y1))), z2)) F(g(g(g(y0))), g(g(g(g(y1)))), g(z2)) -> c3(F(g(g(g(y0))), g(g(g(g(y1)))), z2)) F(g(g(g(0))), g(g(g(1))), g(z2)) -> c3(F(g(g(g(0))), g(g(g(1))), z2)) F(g(g(z0)), g(g(g(g(g(y1))))), g(z2)) -> c3(F(g(g(z0)), g(g(g(g(g(y1))))), z2)) F(g(g(0)), g(g(g(g(1)))), g(z2)) -> c3(F(g(g(0)), g(g(g(g(1)))), z2)) F(g(g(g(g(y0)))), g(g(g(g(y1)))), g(z2)) -> c3(F(g(g(g(g(y0)))), g(g(g(g(y1)))), z2)) F(g(g(g(y0))), g(g(g(g(g(y1))))), g(z2)) -> c3(F(g(g(g(y0))), g(g(g(g(g(y1))))), z2)) F(g(g(g(0))), g(g(g(g(1)))), g(z2)) -> c3(F(g(g(g(0))), g(g(g(g(1)))), z2)) F(g(g(z0)), z1, g(g(g(g(y2))))) -> c3(F(g(g(z0)), z1, g(g(g(y2))))) F(g(g(z0)), g(y1), g(g(g(g(y2))))) -> c3(F(g(g(z0)), g(y1), g(g(g(y2))))) F(g(g(g(0))), g(1), g(g(g(y0)))) -> c3(F(g(g(g(0))), g(1), g(g(y0)))) F(g(g(g(y0))), g(y1), g(g(g(g(y2))))) -> c3(F(g(g(g(y0))), g(y1), g(g(g(y2))))) F(g(g(g(0))), 1, g(g(g(y0)))) -> c3(F(g(g(g(0))), 1, g(g(y0)))) F(g(g(g(g(y0)))), z1, g(g(g(y2)))) -> 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g(g(g(g(y0)))))) F(g(g(z0)), g(g(g(y1))), g(g(g(g(y2))))) -> c3(F(g(g(z0)), g(g(g(y1))), g(g(g(y2))))) F(g(g(g(0))), g(g(g(1))), g(g(g(y0)))) -> c3(F(g(g(g(0))), g(g(g(1))), g(g(y0)))) F(g(g(g(y0))), g(g(g(y1))), g(g(g(g(y2))))) -> c3(F(g(g(g(y0))), g(g(g(y1))), g(g(g(y2))))) F(g(g(g(g(g(y0))))), g(g(g(y1))), g(g(g(y2)))) -> c3(F(g(g(g(g(g(y0))))), g(g(g(y1))), g(g(y2)))) F(g(g(g(g(0)))), g(g(g(1))), g(g(g(y0)))) -> c3(F(g(g(g(g(0)))), g(g(g(1))), g(g(y0)))) F(g(g(g(g(y0)))), g(g(g(y1))), g(g(g(g(y2))))) -> c3(F(g(g(g(g(y0)))), g(g(g(y1))), g(g(g(y2))))) F(g(g(0)), g(g(1)), g(g(g(g(g(y0)))))) -> c3(F(g(g(0)), g(g(1)), g(g(g(g(y0)))))) F(g(g(z0)), g(g(g(g(y1)))), g(g(g(g(y2))))) -> c3(F(g(g(z0)), g(g(g(g(y1)))), g(g(g(y2))))) F(g(g(g(0))), g(g(g(g(1)))), g(g(g(y0)))) -> c3(F(g(g(g(0))), g(g(g(g(1)))), g(g(y0)))) F(g(g(g(y0))), g(g(g(g(y1)))), g(g(g(g(y2))))) -> c3(F(g(g(g(y0))), g(g(g(g(y1)))), g(g(g(y2))))) F(g(g(g(g(g(y0))))), g(g(g(g(y1)))), g(g(g(y2)))) -> c3(F(g(g(g(g(g(y0))))), 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g(g(g(g(g(y1))))), g(g(g(y2))))) F(g(g(0)), g(g(g(g(1)))), g(g(g(g(g(y0)))))) -> c3(F(g(g(0)), g(g(g(g(1)))), g(g(g(g(y0)))))) F(g(g(z0)), g(g(g(g(g(g(g(y1))))))), g(g(g(y2)))) -> c3(F(g(g(z0)), g(g(g(g(g(g(g(y1))))))), g(g(y2)))) F(g(g(z0)), g(g(g(g(g(g(y1)))))), g(g(g(g(y2))))) -> c3(F(g(g(z0)), g(g(g(g(g(g(y1)))))), g(g(g(y2))))) F(g(g(0)), g(g(g(g(g(g(1)))))), g(g(g(y0)))) -> c3(F(g(g(0)), g(g(g(g(g(g(1)))))), g(g(y0)))) F(g(g(g(y0))), g(g(g(g(g(g(g(y1))))))), g(g(g(y2)))) -> c3(F(g(g(g(y0))), g(g(g(g(g(g(g(y1))))))), g(g(y2)))) F(g(g(g(0))), g(g(g(g(g(g(1)))))), g(g(g(y0)))) -> c3(F(g(g(g(0))), g(g(g(g(g(g(1)))))), g(g(y0)))) F(g(g(g(y0))), g(g(g(g(g(g(y1)))))), g(g(g(g(y2))))) -> c3(F(g(g(g(y0))), g(g(g(g(g(g(y1)))))), g(g(g(y2))))) F(g(g(g(g(g(y0))))), g(g(g(g(g(g(y1)))))), g(g(g(y2)))) -> c3(F(g(g(g(g(g(y0))))), g(g(g(g(g(g(y1)))))), g(g(y2)))) F(g(g(g(g(y0)))), g(g(g(g(g(g(g(y1))))))), g(g(g(y2)))) -> c3(F(g(g(g(g(y0)))), g(g(g(g(g(g(g(y1))))))), g(g(y2)))) F(g(g(g(g(0)))), g(g(g(g(g(g(1)))))), g(g(g(y0)))) -> c3(F(g(g(g(g(0)))), g(g(g(g(g(g(1)))))), g(g(y0)))) F(g(g(g(g(y0)))), g(g(g(g(g(g(y1)))))), g(g(g(g(y2))))) -> c3(F(g(g(g(g(y0)))), g(g(g(g(g(g(y1)))))), g(g(g(y2))))) F(g(z0), g(g(g(y1))), g(z2)) -> c3(F(g(z0), g(g(g(y1))), z2)) F(g(0), g(g(1)), g(z2)) -> c3(F(g(0), g(g(1)), z2)) F(g(z0), g(g(g(g(y1)))), g(z2)) -> c3(F(g(z0), g(g(g(g(y1)))), z2)) F(g(0), g(g(g(1))), g(z2)) -> c3(F(g(0), g(g(g(1))), z2)) F(g(z0), g(z1), g(g(g(g(y2))))) -> c3(F(g(z0), g(z1), g(g(g(y2))))) F(g(z0), g(g(y1)), g(g(g(g(y2))))) -> c3(F(g(z0), g(g(y1)), g(g(g(y2))))) F(g(0), g(1), g(g(g(g(g(y0)))))) -> c3(F(g(0), g(1), g(g(g(g(y0)))))) F(g(z0), g(g(g(y1))), g(g(g(g(y2))))) -> c3(F(g(z0), g(g(g(y1))), g(g(g(y2))))) F(g(0), g(g(1)), g(g(g(g(g(y0)))))) -> c3(F(g(0), g(g(1)), g(g(g(g(y0)))))) F(g(0), g(g(g(g(1)))), g(g(g(y0)))) -> c3(F(g(0), g(g(g(g(1)))), g(g(y0)))) F(g(z0), g(g(g(g(y1)))), g(g(g(g(y2))))) -> c3(F(g(z0), g(g(g(g(y1)))), g(g(g(y2))))) F(g(0), g(g(g(1))), g(g(g(g(g(y0)))))) -> c3(F(g(0), g(g(g(1))), g(g(g(g(y0)))))) F(g(z0), g(g(g(g(g(g(y1)))))), g(g(g(y2)))) -> c3(F(g(z0), g(g(g(g(g(g(y1)))))), g(g(y2)))) F(g(0), g(g(g(g(g(1))))), g(g(g(y0)))) -> c3(F(g(0), g(g(g(g(g(1))))), g(g(y0)))) F(g(z0), g(g(g(g(g(y1))))), g(g(g(g(y2))))) -> c3(F(g(z0), g(g(g(g(g(y1))))), g(g(g(y2))))) F(g(g(y0)), g(z1), g(g(g(g(g(y2)))))) -> c3(F(g(g(y0)), g(z1), g(g(g(g(y2)))))) F(g(g(g(0))), g(1), g(g(g(g(y0))))) -> c3(F(g(g(g(0))), g(1), g(g(g(y0))))) F(g(g(g(y0))), g(z1), g(g(g(g(g(y2)))))) -> c3(F(g(g(g(y0))), g(z1), g(g(g(g(y2)))))) F(g(g(g(g(g(y0))))), g(z1), g(g(g(g(y2))))) -> c3(F(g(g(g(g(g(y0))))), g(z1), g(g(g(y2))))) F(g(g(g(g(0)))), g(1), g(g(g(g(y0))))) -> c3(F(g(g(g(g(0)))), g(1), g(g(g(y0))))) F(g(g(g(g(y0)))), g(z1), g(g(g(g(g(y2)))))) -> c3(F(g(g(g(g(y0)))), g(z1), g(g(g(g(y2)))))) F(g(g(y0)), g(g(y1)), g(g(g(g(g(y2)))))) -> c3(F(g(g(y0)), g(g(y1)), g(g(g(g(y2)))))) F(g(g(g(0))), g(g(1)), g(g(g(g(y0))))) -> c3(F(g(g(g(0))), g(g(1)), g(g(g(y0))))) F(g(g(g(y0))), g(g(y1)), g(g(g(g(g(y2)))))) -> c3(F(g(g(g(y0))), g(g(y1)), g(g(g(g(y2)))))) F(g(g(g(g(g(y0))))), g(g(y1)), g(g(g(g(y2))))) -> c3(F(g(g(g(g(g(y0))))), g(g(y1)), g(g(g(y2))))) F(g(g(g(g(0)))), g(g(1)), g(g(g(g(y0))))) -> c3(F(g(g(g(g(0)))), g(g(1)), g(g(g(y0))))) F(g(g(g(g(y0)))), g(g(y1)), g(g(g(g(g(y2)))))) -> c3(F(g(g(g(g(y0)))), g(g(y1)), g(g(g(g(y2)))))) F(g(g(0)), g(1), g(g(g(g(g(g(y0))))))) -> c3(F(g(g(0)), g(1), g(g(g(g(g(y0))))))) F(g(g(y0)), g(g(g(y1))), g(g(g(g(g(y2)))))) -> c3(F(g(g(y0)), g(g(g(y1))), g(g(g(g(y2)))))) F(g(g(g(0))), g(g(g(1))), g(g(g(g(y0))))) -> c3(F(g(g(g(0))), g(g(g(1))), g(g(g(y0))))) F(g(g(g(y0))), g(g(g(y1))), g(g(g(g(g(y2)))))) -> c3(F(g(g(g(y0))), g(g(g(y1))), g(g(g(g(y2)))))) F(g(g(g(g(g(y0))))), g(g(g(y1))), g(g(g(g(y2))))) -> c3(F(g(g(g(g(g(y0))))), g(g(g(y1))), g(g(g(y2))))) F(g(g(g(g(0)))), g(g(g(1))), g(g(g(g(y0))))) -> c3(F(g(g(g(g(0)))), g(g(g(1))), g(g(g(y0))))) F(g(g(g(g(y0)))), g(g(g(y1))), g(g(g(g(g(y2)))))) -> c3(F(g(g(g(g(y0)))), g(g(g(y1))), g(g(g(g(y2)))))) F(g(g(0)), g(g(1)), g(g(g(g(g(g(y0))))))) -> c3(F(g(g(0)), g(g(1)), g(g(g(g(g(y0))))))) F(g(g(y0)), g(g(g(g(y1)))), g(g(g(g(g(y2)))))) -> c3(F(g(g(y0)), g(g(g(g(y1)))), g(g(g(g(y2)))))) F(g(g(g(0))), g(g(g(g(1)))), g(g(g(g(y0))))) -> c3(F(g(g(g(0))), g(g(g(g(1)))), g(g(g(y0))))) F(g(g(g(y0))), g(g(g(g(y1)))), g(g(g(g(g(y2)))))) -> c3(F(g(g(g(y0))), g(g(g(g(y1)))), g(g(g(g(y2)))))) F(g(g(g(g(g(y0))))), g(g(g(g(y1)))), g(g(g(g(y2))))) -> c3(F(g(g(g(g(g(y0))))), g(g(g(g(y1)))), g(g(g(y2))))) F(g(g(g(g(0)))), g(g(g(g(1)))), g(g(g(g(y0))))) -> c3(F(g(g(g(g(0)))), g(g(g(g(1)))), g(g(g(y0))))) F(g(g(g(g(y0)))), g(g(g(g(y1)))), g(g(g(g(g(y2)))))) -> c3(F(g(g(g(g(y0)))), g(g(g(g(y1)))), g(g(g(g(y2)))))) F(g(g(0)), g(g(g(1))), g(g(g(g(g(g(y0))))))) -> c3(F(g(g(0)), g(g(g(1))), g(g(g(g(g(y0))))))) F(g(g(y0)), g(g(g(g(g(y1))))), g(g(g(g(g(y2)))))) -> c3(F(g(g(y0)), g(g(g(g(g(y1))))), g(g(g(g(y2)))))) F(g(g(0)), g(g(g(g(g(1))))), g(g(g(g(y0))))) -> c3(F(g(g(0)), g(g(g(g(g(1))))), g(g(g(y0))))) F(g(g(g(0))), g(g(g(g(g(1))))), g(g(g(g(y0))))) -> c3(F(g(g(g(0))), g(g(g(g(g(1))))), g(g(g(y0))))) F(g(g(g(y0))), g(g(g(g(g(y1))))), g(g(g(g(g(y2)))))) -> c3(F(g(g(g(y0))), g(g(g(g(g(y1))))), g(g(g(g(y2)))))) F(g(g(g(g(g(y0))))), g(g(g(g(g(y1))))), g(g(g(g(y2))))) -> c3(F(g(g(g(g(g(y0))))), g(g(g(g(g(y1))))), g(g(g(y2))))) F(g(g(g(g(0)))), g(g(g(g(g(1))))), g(g(g(g(y0))))) -> c3(F(g(g(g(g(0)))), g(g(g(g(g(1))))), g(g(g(y0))))) F(g(g(g(g(y0)))), g(g(g(g(g(y1))))), g(g(g(g(g(y2)))))) -> c3(F(g(g(g(g(y0)))), g(g(g(g(g(y1))))), g(g(g(g(y2)))))) F(g(g(0)), g(g(g(g(1)))), g(g(g(g(g(g(y0))))))) -> c3(F(g(g(0)), g(g(g(g(1)))), g(g(g(g(g(y0))))))) F(g(g(y0)), g(g(g(g(g(g(g(y1))))))), g(g(g(g(y2))))) -> c3(F(g(g(y0)), g(g(g(g(g(g(g(y1))))))), g(g(g(y2))))) F(g(g(y0)), g(g(g(g(g(g(y1)))))), g(g(g(g(g(y2)))))) -> c3(F(g(g(y0)), g(g(g(g(g(g(y1)))))), g(g(g(g(y2)))))) F(g(g(0)), g(g(g(g(g(g(1)))))), g(g(g(g(y0))))) -> c3(F(g(g(0)), g(g(g(g(g(g(1)))))), g(g(g(y0))))) F(g(g(g(y0))), g(g(g(g(g(g(g(y1))))))), g(g(g(g(y2))))) -> c3(F(g(g(g(y0))), g(g(g(g(g(g(g(y1))))))), g(g(g(y2))))) F(g(g(g(0))), g(g(g(g(g(g(1)))))), g(g(g(g(y0))))) -> c3(F(g(g(g(0))), g(g(g(g(g(g(1)))))), g(g(g(y0))))) F(g(g(g(y0))), g(g(g(g(g(g(y1)))))), g(g(g(g(g(y2)))))) -> c3(F(g(g(g(y0))), g(g(g(g(g(g(y1)))))), g(g(g(g(y2)))))) F(g(g(g(g(g(y0))))), g(g(g(g(g(g(y1)))))), g(g(g(g(y2))))) -> c3(F(g(g(g(g(g(y0))))), g(g(g(g(g(g(y1)))))), g(g(g(y2))))) F(g(g(g(g(y0)))), g(g(g(g(g(g(g(y1))))))), g(g(g(g(y2))))) -> c3(F(g(g(g(g(y0)))), g(g(g(g(g(g(g(y1))))))), g(g(g(y2))))) F(g(g(g(g(0)))), g(g(g(g(g(g(1)))))), g(g(g(g(y0))))) -> c3(F(g(g(g(g(0)))), g(g(g(g(g(g(1)))))), g(g(g(y0))))) F(g(g(g(g(y0)))), g(g(g(g(g(g(y1)))))), g(g(g(g(g(y2)))))) -> c3(F(g(g(g(g(y0)))), g(g(g(g(g(g(y1)))))), g(g(g(g(y2)))))) F(g(z0), z1, g(g(g(g(y2))))) -> c3(F(g(z0), z1, g(g(g(y2))))) F(g(0), 1, g(g(g(g(g(g(y0))))))) -> c3(F(g(0), 1, g(g(g(g(g(y0))))))) F(g(g(y0)), z1, g(g(g(g(g(y2)))))) -> c3(F(g(g(y0)), z1, g(g(g(g(y2)))))) F(g(g(g(0))), 1, g(g(g(g(y0))))) -> c3(F(g(g(g(0))), 1, g(g(g(y0))))) F(g(g(g(g(y0)))), z1, g(g(g(g(y2))))) -> c3(F(g(g(g(g(y0)))), z1, g(g(g(y2))))) F(g(g(g(y0))), z1, g(g(g(g(g(y2)))))) -> c3(F(g(g(g(y0))), z1, g(g(g(g(y2)))))) F(g(g(0)), 1, g(g(g(g(g(g(y0))))))) -> c3(F(g(g(0)), 1, g(g(g(g(g(y0))))))) F(g(z0), g(y1), g(g(g(g(g(y2)))))) -> c3(F(g(z0), g(y1), g(g(g(g(y2)))))) F(g(z0), g(g(y1)), g(g(g(g(g(y2)))))) -> c3(F(g(z0), g(g(y1)), g(g(g(g(y2)))))) F(g(0), g(1), g(g(g(g(g(g(y0))))))) -> c3(F(g(0), g(1), g(g(g(g(g(y0))))))) F(g(z0), g(g(g(y1))), g(g(g(g(g(y2)))))) -> c3(F(g(z0), g(g(g(y1))), g(g(g(g(y2)))))) F(g(0), g(g(1)), g(g(g(g(g(g(y0))))))) -> c3(F(g(0), g(g(1)), g(g(g(g(g(y0))))))) F(g(0), g(g(g(g(1)))), g(g(g(g(y0))))) -> c3(F(g(0), g(g(g(g(1)))), g(g(g(y0))))) F(g(z0), g(g(g(g(y1)))), g(g(g(g(g(y2)))))) -> c3(F(g(z0), g(g(g(g(y1)))), g(g(g(g(y2)))))) F(g(0), g(g(g(1))), g(g(g(g(g(g(y0))))))) -> c3(F(g(0), g(g(g(1))), g(g(g(g(g(y0))))))) F(g(z0), g(g(g(g(g(g(y1)))))), g(g(g(g(y2))))) -> c3(F(g(z0), g(g(g(g(g(g(y1)))))), g(g(g(y2))))) F(g(0), g(g(g(g(g(1))))), g(g(g(g(y0))))) -> c3(F(g(0), g(g(g(g(g(1))))), g(g(g(y0))))) F(g(z0), g(g(g(g(g(y1))))), g(g(g(g(g(y2)))))) -> c3(F(g(z0), g(g(g(g(g(y1))))), g(g(g(g(y2)))))) F(g(g(y0)), g(y1), g(g(g(g(g(g(y2))))))) -> c3(F(g(g(y0)), g(y1), g(g(g(g(g(y2))))))) F(g(g(g(0))), g(1), g(g(g(g(g(y0)))))) -> c3(F(g(g(g(0))), g(1), g(g(g(g(y0)))))) F(g(g(g(y0))), g(y1), g(g(g(g(g(g(y2))))))) -> c3(F(g(g(g(y0))), g(y1), g(g(g(g(g(y2))))))) F(g(g(g(g(g(y0))))), g(y1), g(g(g(g(g(y2)))))) -> c3(F(g(g(g(g(g(y0))))), g(y1), g(g(g(g(y2)))))) F(g(g(g(g(0)))), g(1), g(g(g(g(g(y0)))))) -> c3(F(g(g(g(g(0)))), g(1), g(g(g(g(y0)))))) F(g(g(g(g(y0)))), g(y1), g(g(g(g(g(g(y2))))))) -> c3(F(g(g(g(g(y0)))), g(y1), g(g(g(g(g(y2))))))) F(g(g(y0)), g(g(y1)), g(g(g(g(g(g(y2))))))) -> c3(F(g(g(y0)), g(g(y1)), g(g(g(g(g(y2))))))) F(g(g(g(0))), g(g(1)), g(g(g(g(g(y0)))))) -> c3(F(g(g(g(0))), g(g(1)), g(g(g(g(y0)))))) F(g(g(g(y0))), g(g(y1)), g(g(g(g(g(g(y2))))))) -> c3(F(g(g(g(y0))), g(g(y1)), g(g(g(g(g(y2))))))) F(g(g(g(g(g(y0))))), g(g(y1)), g(g(g(g(g(y2)))))) -> c3(F(g(g(g(g(g(y0))))), g(g(y1)), g(g(g(g(y2)))))) F(g(g(g(g(0)))), g(g(1)), g(g(g(g(g(y0)))))) -> c3(F(g(g(g(g(0)))), g(g(1)), g(g(g(g(y0)))))) F(g(g(g(g(y0)))), g(g(y1)), g(g(g(g(g(g(y2))))))) -> c3(F(g(g(g(g(y0)))), g(g(y1)), g(g(g(g(g(y2))))))) F(g(g(0)), g(1), g(g(g(g(g(g(g(y0)))))))) -> c3(F(g(g(0)), g(1), g(g(g(g(g(g(y0)))))))) F(g(g(y0)), g(g(g(y1))), g(g(g(g(g(g(y2))))))) -> c3(F(g(g(y0)), g(g(g(y1))), g(g(g(g(g(y2))))))) F(g(g(g(0))), g(g(g(1))), g(g(g(g(g(y0)))))) -> c3(F(g(g(g(0))), g(g(g(1))), g(g(g(g(y0)))))) F(g(g(g(y0))), g(g(g(y1))), g(g(g(g(g(g(y2))))))) -> c3(F(g(g(g(y0))), g(g(g(y1))), g(g(g(g(g(y2))))))) F(g(g(g(g(g(y0))))), g(g(g(y1))), g(g(g(g(g(y2)))))) -> c3(F(g(g(g(g(g(y0))))), g(g(g(y1))), g(g(g(g(y2)))))) F(g(g(g(g(0)))), g(g(g(1))), g(g(g(g(g(y0)))))) -> c3(F(g(g(g(g(0)))), g(g(g(1))), g(g(g(g(y0)))))) F(g(g(g(g(y0)))), g(g(g(y1))), g(g(g(g(g(g(y2))))))) -> c3(F(g(g(g(g(y0)))), g(g(g(y1))), g(g(g(g(g(y2))))))) F(g(g(0)), g(g(1)), g(g(g(g(g(g(g(y0)))))))) -> c3(F(g(g(0)), g(g(1)), g(g(g(g(g(g(y0)))))))) F(g(g(y0)), g(g(g(g(y1)))), g(g(g(g(g(g(y2))))))) -> c3(F(g(g(y0)), g(g(g(g(y1)))), g(g(g(g(g(y2))))))) F(g(g(g(0))), g(g(g(g(1)))), g(g(g(g(g(y0)))))) -> c3(F(g(g(g(0))), g(g(g(g(1)))), g(g(g(g(y0)))))) F(g(g(g(y0))), g(g(g(g(y1)))), g(g(g(g(g(g(y2))))))) -> c3(F(g(g(g(y0))), g(g(g(g(y1)))), g(g(g(g(g(y2))))))) F(g(g(g(g(g(y0))))), g(g(g(g(y1)))), g(g(g(g(g(y2)))))) -> c3(F(g(g(g(g(g(y0))))), g(g(g(g(y1)))), g(g(g(g(y2)))))) F(g(g(g(g(0)))), g(g(g(g(1)))), g(g(g(g(g(y0)))))) -> c3(F(g(g(g(g(0)))), g(g(g(g(1)))), g(g(g(g(y0)))))) F(g(g(g(g(y0)))), g(g(g(g(y1)))), g(g(g(g(g(g(y2))))))) -> c3(F(g(g(g(g(y0)))), g(g(g(g(y1)))), g(g(g(g(g(y2))))))) F(g(g(0)), g(g(g(1))), g(g(g(g(g(g(g(y0)))))))) -> c3(F(g(g(0)), g(g(g(1))), g(g(g(g(g(g(y0)))))))) F(g(g(y0)), g(g(g(g(g(y1))))), g(g(g(g(g(g(y2))))))) -> c3(F(g(g(y0)), g(g(g(g(g(y1))))), g(g(g(g(g(y2))))))) F(g(g(0)), g(g(g(g(g(1))))), g(g(g(g(g(y0)))))) -> c3(F(g(g(0)), g(g(g(g(g(1))))), g(g(g(g(y0)))))) F(g(g(g(0))), g(g(g(g(g(1))))), g(g(g(g(g(y0)))))) -> c3(F(g(g(g(0))), g(g(g(g(g(1))))), g(g(g(g(y0)))))) F(g(g(g(y0))), g(g(g(g(g(y1))))), g(g(g(g(g(g(y2))))))) -> c3(F(g(g(g(y0))), g(g(g(g(g(y1))))), g(g(g(g(g(y2))))))) F(g(g(g(g(g(y0))))), g(g(g(g(g(y1))))), g(g(g(g(g(y2)))))) -> c3(F(g(g(g(g(g(y0))))), g(g(g(g(g(y1))))), g(g(g(g(y2)))))) F(g(g(g(g(0)))), g(g(g(g(g(1))))), g(g(g(g(g(y0)))))) -> c3(F(g(g(g(g(0)))), g(g(g(g(g(1))))), g(g(g(g(y0)))))) F(g(g(g(g(y0)))), g(g(g(g(g(y1))))), g(g(g(g(g(g(y2))))))) -> c3(F(g(g(g(g(y0)))), g(g(g(g(g(y1))))), g(g(g(g(g(y2))))))) F(g(g(0)), g(g(g(g(1)))), g(g(g(g(g(g(g(y0)))))))) -> c3(F(g(g(0)), g(g(g(g(1)))), g(g(g(g(g(g(y0)))))))) F(g(g(y0)), g(g(g(g(g(g(g(y1))))))), g(g(g(g(g(y2)))))) -> c3(F(g(g(y0)), g(g(g(g(g(g(g(y1))))))), g(g(g(g(y2)))))) F(g(g(y0)), g(g(g(g(g(g(y1)))))), g(g(g(g(g(g(y2))))))) -> c3(F(g(g(y0)), g(g(g(g(g(g(y1)))))), g(g(g(g(g(y2))))))) F(g(g(0)), g(g(g(g(g(g(1)))))), g(g(g(g(g(y0)))))) -> c3(F(g(g(0)), g(g(g(g(g(g(1)))))), g(g(g(g(y0)))))) F(g(g(g(y0))), g(g(g(g(g(g(g(y1))))))), g(g(g(g(g(y2)))))) -> c3(F(g(g(g(y0))), g(g(g(g(g(g(g(y1))))))), g(g(g(g(y2)))))) F(g(g(g(0))), g(g(g(g(g(g(1)))))), g(g(g(g(g(y0)))))) -> c3(F(g(g(g(0))), g(g(g(g(g(g(1)))))), g(g(g(g(y0)))))) F(g(g(g(y0))), g(g(g(g(g(g(y1)))))), g(g(g(g(g(g(y2))))))) -> c3(F(g(g(g(y0))), g(g(g(g(g(g(y1)))))), g(g(g(g(g(y2))))))) F(g(g(g(g(g(y0))))), g(g(g(g(g(g(y1)))))), g(g(g(g(g(y2)))))) -> c3(F(g(g(g(g(g(y0))))), g(g(g(g(g(g(y1)))))), g(g(g(g(y2)))))) F(g(g(g(g(y0)))), g(g(g(g(g(g(g(y1))))))), g(g(g(g(g(y2)))))) -> c3(F(g(g(g(g(y0)))), g(g(g(g(g(g(g(y1))))))), g(g(g(g(y2)))))) F(g(g(g(g(0)))), g(g(g(g(g(g(1)))))), g(g(g(g(g(y0)))))) -> c3(F(g(g(g(g(0)))), g(g(g(g(g(g(1)))))), g(g(g(g(y0)))))) F(g(g(g(g(y0)))), g(g(g(g(g(g(y1)))))), g(g(g(g(g(g(y2))))))) -> c3(F(g(g(g(g(y0)))), g(g(g(g(g(g(y1)))))), g(g(g(g(g(y2))))))) Defined Rule Symbols:none Defined Pair Symbols: F_3 Compound Symbols: c3_1, c1_1, c_1, c2_1 ---------------------------------------- (77) CdtForwardInstantiationProof (BOTH BOUNDS(ID, ID)) Use forward instantiation to replace F(0, g(1), g(z2)) -> c3(F(0, g(1), z2)) by F(0, g(1), g(g(y0))) -> c3(F(0, g(1), g(y0))) F(0, g(1), g(g(g(y2)))) -> c3(F(0, g(1), g(g(y2)))) F(0, g(1), g(g(g(g(y0))))) -> c3(F(0, g(1), g(g(g(y0))))) F(0, g(1), g(g(g(g(g(y0)))))) -> c3(F(0, g(1), g(g(g(g(y0)))))) ---------------------------------------- (78) Obligation: Complexity Dependency Tuples Problem Rules:none Tuples: F(z0, g(g(y1)), g(z2)) -> c3(F(z0, g(g(y1)), z2)) F(z0, g(y1), g(g(y2))) -> c3(F(z0, g(y1), g(y2))) F(g(0), g(1), g(z2)) -> c3(F(g(0), g(1), z2)) F(g(g(y0)), g(y1), g(z2)) -> c3(F(g(g(y0)), g(y1), z2)) F(g(y0), g(g(y1)), g(z2)) -> c3(F(g(y0), g(g(y1)), z2)) F(g(y0), g(y1), g(g(y2))) -> c3(F(g(y0), g(y1), g(y2))) F(g(g(0)), 1, z2) -> c1(F(g(0), 1, z2)) F(g(g(g(y0))), z1, z2) -> c1(F(g(g(y0)), z1, z2)) F(g(g(z0)), g(y1), z2) -> c1(F(g(z0), g(y1), z2)) F(g(g(z0)), z1, g(y2)) -> c1(F(g(z0), z1, g(y2))) F(g(g(z0)), g(g(y1)), z2) -> c1(F(g(z0), g(g(y1)), z2)) F(g(g(z0)), g(y1), g(y2)) -> c1(F(g(z0), g(y1), g(y2))) F(g(g(0)), g(1), z2) -> c1(F(g(0), g(1), z2)) F(g(g(g(y0))), g(y1), z2) -> c1(F(g(g(y0)), g(y1), z2)) F(g(g(z0)), z1, g(g(y2))) -> c1(F(g(z0), z1, g(g(y2)))) F(g(g(0)), 1, g(y0)) -> c1(F(g(0), 1, g(y0))) F(g(g(g(y0))), z1, g(y2)) -> c1(F(g(g(y0)), z1, g(y2))) F(g(g(z0)), g(g(y1)), g(y2)) -> c1(F(g(z0), g(g(y1)), g(y2))) F(g(g(z0)), g(y1), g(g(y2))) -> c1(F(g(z0), g(y1), g(g(y2)))) F(g(g(0)), g(1), g(y0)) -> c1(F(g(0), g(1), g(y0))) F(g(g(g(y0))), g(y1), g(y2)) -> c1(F(g(g(y0)), g(y1), g(y2))) F(g(0), g(1), z2) -> c1(F(0, g(1), z2)) F(g(z0), g(g(y1)), z2) -> c1(F(z0, g(g(y1)), z2)) F(g(z0), g(z1), g(y2)) -> c1(F(z0, g(z1), g(y2))) F(g(z0), g(z1), g(g(y2))) -> c1(F(z0, g(z1), g(g(y2)))) F(g(0), g(1), g(y0)) -> c1(F(0, g(1), g(y0))) F(g(z0), g(g(y1)), g(y2)) -> c1(F(z0, g(g(y1)), g(y2))) F(g(g(g(g(y0)))), g(z1), z2) -> c1(F(g(g(g(y0))), g(z1), z2)) F(g(g(g(y0))), g(g(y1)), z2) -> c1(F(g(g(y0)), g(g(y1)), z2)) F(g(g(g(0))), g(1), z2) -> c1(F(g(g(0)), g(1), z2)) F(g(g(g(y0))), g(z1), g(g(y2))) -> c1(F(g(g(y0)), g(z1), g(g(y2)))) F(g(g(g(g(y0)))), g(z1), g(y2)) -> c1(F(g(g(g(y0))), g(z1), g(y2))) F(g(g(g(y0))), g(g(y1)), g(y2)) -> c1(F(g(g(y0)), g(g(y1)), g(y2))) F(g(g(g(0))), g(1), g(y0)) -> c1(F(g(g(0)), g(1), g(y0))) F(0, 1, g(y2)) -> c(F(g(g(y2)), g(g(y2)), g(y2))) F(0, 1, g(g(y2))) -> c(F(g(g(g(y2))), g(g(g(y2))), g(g(y2)))) F(0, 1, g(g(g(y0)))) -> c(F(g(g(g(g(y0)))), g(g(g(g(y0)))), g(g(g(y0))))) F(g(0), 1, g(y0)) -> c1(F(0, 1, g(y0))) F(g(0), 1, g(g(y2))) -> c1(F(0, 1, g(g(y2)))) F(g(0), 1, g(g(g(y0)))) -> c1(F(0, 1, g(g(g(y0))))) F(g(z0), z1, g(g(y2))) -> c1(F(z0, z1, g(g(y2)))) F(g(g(g(0))), 1, g(z2)) -> c1(F(g(g(0)), 1, g(z2))) F(g(g(g(g(y0)))), z1, g(z2)) -> c1(F(g(g(g(y0))), z1, g(z2))) F(g(g(g(y0))), z1, g(g(y2))) -> c1(F(g(g(y0)), z1, g(g(y2)))) F(g(g(g(g(g(y0))))), g(y1), g(z2)) -> c1(F(g(g(g(g(y0)))), g(y1), g(z2))) F(g(g(g(g(y0)))), g(g(y1)), g(z2)) -> c1(F(g(g(g(y0))), g(g(y1)), g(z2))) F(g(g(g(g(0)))), g(1), g(z2)) -> c1(F(g(g(g(0))), g(1), g(z2))) F(g(g(g(g(y0)))), g(y1), g(g(y2))) -> c1(F(g(g(g(y0))), g(y1), g(g(y2)))) F(g(g(0)), 1, g(g(y0))) -> c1(F(g(0), 1, g(g(y0)))) F(g(g(0)), 1, g(g(g(y0)))) -> c1(F(g(0), 1, g(g(g(y0))))) F(0, g(1), g(y0)) -> c2(F(0, 1, g(y0))) F(0, g(1), g(g(y2))) -> c2(F(0, 1, g(g(y2)))) F(0, g(1), g(g(g(y0)))) -> c2(F(0, 1, g(g(g(y0))))) F(z0, g(g(g(y1))), z2) -> c2(F(z0, g(g(y1)), z2)) F(z0, g(g(z1)), g(y2)) -> c2(F(z0, g(z1), g(y2))) F(g(0), g(g(1)), z2) -> c2(F(g(0), g(1), z2)) F(g(g(y0)), g(g(z1)), z2) -> c2(F(g(g(y0)), g(z1), z2)) F(g(y0), g(g(g(y1))), z2) -> c2(F(g(y0), g(g(y1)), z2)) F(g(y0), g(g(z1)), g(y2)) -> c2(F(g(y0), g(z1), g(y2))) F(z0, g(g(z1)), g(g(y2))) -> c2(F(z0, g(z1), g(g(y2)))) F(g(g(y0)), g(g(z1)), g(y2)) -> c2(F(g(g(y0)), g(z1), g(y2))) F(g(y0), g(g(z1)), g(g(y2))) -> c2(F(g(y0), g(z1), g(g(y2)))) F(0, g(g(1)), g(y0)) -> c2(F(0, g(1), g(y0))) F(z0, g(g(g(y1))), g(y2)) -> c2(F(z0, g(g(y1)), g(y2))) F(g(0), g(g(1)), g(y0)) -> c2(F(g(0), g(1), g(y0))) F(g(y0), g(g(g(y1))), g(y2)) -> c2(F(g(y0), g(g(y1)), g(y2))) F(g(g(g(y0))), g(g(z1)), z2) -> c2(F(g(g(g(y0))), g(z1), z2)) F(g(g(y0)), g(g(g(y1))), z2) -> c2(F(g(g(y0)), g(g(y1)), z2)) F(g(g(0)), g(g(1)), z2) -> c2(F(g(g(0)), g(1), z2)) F(g(g(y0)), g(g(z1)), g(g(y2))) -> c2(F(g(g(y0)), g(z1), g(g(y2)))) F(g(g(g(y0))), g(g(z1)), g(y2)) -> c2(F(g(g(g(y0))), g(z1), g(y2))) F(g(g(y0)), g(g(g(y1))), g(y2)) -> c2(F(g(g(y0)), g(g(y1)), g(y2))) F(g(g(0)), g(g(1)), g(y0)) -> c2(F(g(g(0)), g(1), g(y0))) F(g(g(g(g(y0)))), g(g(z1)), z2) -> c2(F(g(g(g(g(y0)))), g(z1), z2)) F(g(g(g(y0))), g(g(g(y1))), z2) -> c2(F(g(g(g(y0))), g(g(y1)), z2)) F(g(g(g(0))), g(g(1)), z2) -> c2(F(g(g(g(0))), g(1), z2)) F(g(g(g(y0))), g(g(z1)), g(g(y2))) -> c2(F(g(g(g(y0))), g(z1), g(g(y2)))) F(g(g(g(g(y0)))), g(g(z1)), g(y2)) -> c2(F(g(g(g(g(y0)))), g(z1), g(y2))) F(g(g(g(y0))), g(g(g(y1))), g(y2)) -> c2(F(g(g(g(y0))), g(g(y1)), g(y2))) F(g(g(g(0))), g(g(1)), g(y0)) -> c2(F(g(g(g(0))), g(1), g(y0))) F(g(g(g(g(g(y0))))), g(g(z1)), g(y2)) -> c2(F(g(g(g(g(g(y0))))), g(z1), g(y2))) F(g(g(g(g(y0)))), g(g(g(y1))), g(y2)) -> c2(F(g(g(g(g(y0)))), g(g(y1)), g(y2))) F(g(g(g(g(0)))), g(g(1)), g(y0)) -> c2(F(g(g(g(g(0)))), g(1), g(y0))) F(g(g(g(g(y0)))), g(g(z1)), g(g(y2))) -> c2(F(g(g(g(g(y0)))), g(z1), g(g(y2)))) F(0, g(g(1)), g(g(y0))) -> c2(F(0, g(1), g(g(y0)))) F(0, g(g(1)), g(g(g(y0)))) -> c2(F(0, g(1), g(g(g(y0))))) F(z0, g(z1), g(g(y2))) -> c2(F(z0, z1, g(g(y2)))) F(g(0), g(1), g(z2)) -> c2(F(g(0), 1, g(z2))) F(g(g(y0)), g(z1), g(z2)) -> c2(F(g(g(y0)), z1, g(z2))) F(g(y0), g(z1), g(g(y2))) -> c2(F(g(y0), z1, g(g(y2)))) F(g(g(0)), g(1), g(z2)) -> c2(F(g(g(0)), 1, g(z2))) F(g(g(g(y0))), g(z1), g(z2)) -> c2(F(g(g(g(y0))), z1, g(z2))) F(g(g(y0)), g(z1), g(g(y2))) -> c2(F(g(g(y0)), z1, g(g(y2)))) F(g(0), g(1), g(g(y0))) -> c2(F(g(0), 1, g(g(y0)))) F(g(0), g(1), g(g(g(y0)))) -> c2(F(g(0), 1, g(g(g(y0))))) F(g(g(g(0))), g(1), g(z2)) -> c2(F(g(g(g(0))), 1, g(z2))) F(g(g(g(g(y0)))), g(z1), g(z2)) -> c2(F(g(g(g(g(y0)))), z1, g(z2))) F(g(g(g(y0))), g(z1), g(g(y2))) -> c2(F(g(g(g(y0))), z1, g(g(y2)))) F(g(g(0)), g(1), g(g(y0))) -> c2(F(g(g(0)), 1, g(g(y0)))) F(g(g(0)), g(1), g(g(g(y0)))) -> c2(F(g(g(0)), 1, g(g(g(y0))))) F(z0, g(g(g(g(y1)))), g(z2)) -> c2(F(z0, g(g(g(y1))), g(z2))) F(g(0), g(g(g(1))), g(z2)) -> c2(F(g(0), g(g(1)), g(z2))) F(g(y0), g(g(g(g(y1)))), g(z2)) -> c2(F(g(y0), g(g(g(y1))), g(z2))) F(z0, g(g(g(y1))), g(g(y2))) -> c2(F(z0, g(g(y1)), g(g(y2)))) F(g(y0), g(g(g(y1))), g(g(y2))) -> c2(F(g(y0), g(g(y1)), g(g(y2)))) F(0, g(g(g(1))), g(z2)) -> c2(F(0, g(g(1)), g(z2))) F(g(g(y0)), g(g(g(g(y1)))), g(z2)) -> c2(F(g(g(y0)), g(g(g(y1))), g(z2))) F(g(g(0)), g(g(g(1))), g(z2)) -> c2(F(g(g(0)), g(g(1)), g(z2))) F(g(g(y0)), g(g(g(y1))), g(g(y2))) -> c2(F(g(g(y0)), g(g(y1)), g(g(y2)))) F(g(g(g(y0))), g(g(g(g(y1)))), g(z2)) -> c2(F(g(g(g(y0))), g(g(g(y1))), g(z2))) F(g(g(g(0))), g(g(g(1))), g(z2)) -> c2(F(g(g(g(0))), g(g(1)), g(z2))) F(g(g(g(y0))), g(g(g(y1))), g(g(y2))) -> c2(F(g(g(g(y0))), g(g(y1)), g(g(y2)))) F(g(g(g(g(g(y0))))), g(g(g(y1))), g(z2)) -> c2(F(g(g(g(g(g(y0))))), g(g(y1)), g(z2))) F(g(g(g(g(y0)))), g(g(g(g(y1)))), g(z2)) -> c2(F(g(g(g(g(y0)))), g(g(g(y1))), g(z2))) F(g(g(g(g(0)))), g(g(g(1))), g(z2)) -> c2(F(g(g(g(g(0)))), g(g(1)), g(z2))) F(g(g(g(g(y0)))), g(g(g(y1))), g(g(y2))) -> c2(F(g(g(g(g(y0)))), g(g(y1)), g(g(y2)))) F(0, g(g(g(1))), g(g(y0))) -> c2(F(0, g(g(1)), g(g(y0)))) F(0, g(g(g(1))), g(g(g(y0)))) -> c2(F(0, g(g(1)), g(g(g(y0))))) F(g(g(0)), g(1), z2) -> c2(F(g(g(0)), 1, z2)) F(g(g(g(y0))), g(z1), z2) -> c2(F(g(g(g(y0))), z1, z2)) F(g(g(z0)), g(g(g(g(y1)))), z2) -> c2(F(g(g(z0)), g(g(g(y1))), z2)) F(g(g(0)), g(g(g(1))), z2) -> c2(F(g(g(0)), g(g(1)), z2)) F(g(g(g(g(y0)))), g(g(g(y1))), z2) -> c2(F(g(g(g(g(y0)))), g(g(y1)), z2)) F(g(g(g(y0))), g(g(g(g(y1)))), z2) -> c2(F(g(g(g(y0))), g(g(g(y1))), z2)) F(g(g(g(0))), g(g(g(1))), z2) -> c2(F(g(g(g(0))), g(g(1)), z2)) F(g(g(0)), g(g(1)), g(g(y0))) -> c2(F(g(g(0)), g(1), g(g(y0)))) F(g(g(0)), g(g(1)), g(g(g(y0)))) -> c2(F(g(g(0)), g(1), g(g(g(y0))))) F(g(g(z0)), g(g(g(g(g(y1))))), g(y2)) -> c2(F(g(g(z0)), g(g(g(g(y1)))), g(y2))) F(g(g(z0)), g(g(g(g(y1)))), g(g(y2))) -> c2(F(g(g(z0)), g(g(g(y1))), g(g(y2)))) F(g(g(0)), g(g(g(g(1)))), g(y0)) -> c2(F(g(g(0)), g(g(g(1))), g(y0))) F(g(g(g(y0))), g(g(g(g(g(y1))))), g(y2)) -> c2(F(g(g(g(y0))), g(g(g(g(y1)))), g(y2))) F(g(g(g(0))), g(g(g(g(1)))), g(y0)) -> c2(F(g(g(g(0))), g(g(g(1))), g(y0))) F(g(g(g(y0))), g(g(g(g(y1)))), g(g(y2))) -> c2(F(g(g(g(y0))), g(g(g(y1))), g(g(y2)))) F(g(g(g(g(g(y0))))), g(g(g(g(y1)))), g(y2)) -> c2(F(g(g(g(g(g(y0))))), g(g(g(y1))), g(y2))) F(g(g(g(g(y0)))), g(g(g(g(g(y1))))), g(y2)) -> c2(F(g(g(g(g(y0)))), g(g(g(g(y1)))), g(y2))) F(g(g(g(g(0)))), g(g(g(g(1)))), g(y0)) -> c2(F(g(g(g(g(0)))), g(g(g(1))), g(y0))) F(g(g(g(g(y0)))), g(g(g(g(y1)))), g(g(y2))) -> c2(F(g(g(g(g(y0)))), g(g(g(y1))), g(g(y2)))) F(g(z0), g(g(g(g(y1)))), z2) -> c2(F(g(z0), g(g(g(y1))), z2)) F(g(0), g(g(g(1))), z2) -> c2(F(g(0), g(g(1)), z2)) F(g(0), g(g(1)), g(g(y0))) -> c2(F(g(0), g(1), g(g(y0)))) F(g(0), g(g(1)), g(g(g(y0)))) -> c2(F(g(0), g(1), g(g(g(y0))))) F(g(z0), g(g(g(g(g(y1))))), g(y2)) -> c2(F(g(z0), g(g(g(g(y1)))), g(y2))) F(g(0), g(g(g(g(1)))), g(y0)) -> c2(F(g(0), g(g(g(1))), g(y0))) F(g(z0), g(g(g(g(y1)))), g(g(y2))) -> c2(F(g(z0), g(g(g(y1))), g(g(y2)))) F(g(g(y0)), g(g(g(g(g(y1))))), z2) -> c2(F(g(g(y0)), g(g(g(g(y1)))), z2)) F(g(g(0)), g(g(g(g(1)))), z2) -> c2(F(g(g(0)), g(g(g(1))), z2)) F(g(g(g(g(y0)))), g(g(g(g(y1)))), z2) -> c2(F(g(g(g(g(y0)))), g(g(g(y1))), z2)) F(g(g(g(y0))), g(g(g(g(g(y1))))), z2) -> c2(F(g(g(g(y0))), g(g(g(g(y1)))), z2)) F(g(g(g(0))), g(g(g(g(1)))), z2) -> c2(F(g(g(g(0))), g(g(g(1))), z2)) F(g(g(0)), g(g(g(1))), g(g(y0))) -> c2(F(g(g(0)), g(g(1)), g(g(y0)))) F(g(g(0)), g(g(g(1))), g(g(g(y0)))) -> c2(F(g(g(0)), g(g(1)), g(g(g(y0))))) F(g(g(y0)), g(g(g(g(g(g(y1)))))), g(y2)) -> c2(F(g(g(y0)), g(g(g(g(g(y1))))), g(y2))) F(g(g(y0)), g(g(g(g(g(y1))))), g(g(y2))) -> c2(F(g(g(y0)), g(g(g(g(y1)))), g(g(y2)))) F(g(g(0)), g(g(g(g(g(1))))), g(y0)) -> c2(F(g(g(0)), g(g(g(g(1)))), g(y0))) F(g(g(g(y0))), g(g(g(g(g(g(y1)))))), g(y2)) -> c2(F(g(g(g(y0))), g(g(g(g(g(y1))))), g(y2))) F(g(g(g(0))), g(g(g(g(g(1))))), g(y0)) -> c2(F(g(g(g(0))), g(g(g(g(1)))), g(y0))) F(g(g(g(y0))), g(g(g(g(g(y1))))), g(g(y2))) -> c2(F(g(g(g(y0))), g(g(g(g(y1)))), g(g(y2)))) F(g(g(g(g(g(y0))))), g(g(g(g(g(y1))))), g(y2)) -> c2(F(g(g(g(g(g(y0))))), g(g(g(g(y1)))), g(y2))) F(g(g(g(g(y0)))), g(g(g(g(g(g(y1)))))), g(y2)) -> c2(F(g(g(g(g(y0)))), g(g(g(g(g(y1))))), g(y2))) F(g(g(g(g(0)))), g(g(g(g(g(1))))), g(y0)) -> c2(F(g(g(g(g(0)))), g(g(g(g(1)))), g(y0))) F(g(g(g(g(y0)))), g(g(g(g(g(y1))))), g(g(y2))) -> c2(F(g(g(g(g(y0)))), g(g(g(g(y1)))), g(g(y2)))) F(g(0), g(g(g(1))), g(g(y0))) -> c2(F(g(0), g(g(1)), g(g(y0)))) F(g(0), g(g(g(1))), g(g(g(y0)))) -> c2(F(g(0), g(g(1)), g(g(g(y0))))) F(g(z0), g(g(g(g(g(g(y1)))))), g(z2)) -> c2(F(g(z0), g(g(g(g(g(y1))))), g(z2))) F(g(0), g(g(g(g(g(1))))), g(z2)) -> c2(F(g(0), g(g(g(g(1)))), g(z2))) F(g(z0), g(g(g(g(g(y1))))), g(g(y2))) -> c2(F(g(z0), g(g(g(g(y1)))), g(g(y2)))) F(g(g(0)), g(g(g(g(1)))), g(g(y0))) -> c2(F(g(g(0)), g(g(g(1))), g(g(y0)))) F(g(g(0)), g(g(g(g(1)))), g(g(g(y0)))) -> c2(F(g(g(0)), g(g(g(1))), g(g(g(y0))))) F(g(g(y0)), g(g(g(g(g(g(g(y1))))))), g(z2)) -> c2(F(g(g(y0)), g(g(g(g(g(g(y1)))))), g(z2))) F(g(g(y0)), g(g(g(g(g(g(y1)))))), g(g(y2))) -> c2(F(g(g(y0)), g(g(g(g(g(y1))))), g(g(y2)))) F(g(g(0)), g(g(g(g(g(g(1)))))), g(z2)) -> c2(F(g(g(0)), g(g(g(g(g(1))))), g(z2))) F(g(g(g(y0))), g(g(g(g(g(g(g(y1))))))), g(z2)) -> c2(F(g(g(g(y0))), g(g(g(g(g(g(y1)))))), g(z2))) F(g(g(g(0))), g(g(g(g(g(g(1)))))), g(z2)) -> c2(F(g(g(g(0))), g(g(g(g(g(1))))), g(z2))) F(g(g(g(y0))), g(g(g(g(g(g(y1)))))), g(g(y2))) -> c2(F(g(g(g(y0))), g(g(g(g(g(y1))))), g(g(y2)))) F(g(g(g(g(g(y0))))), g(g(g(g(g(g(y1)))))), g(z2)) -> c2(F(g(g(g(g(g(y0))))), g(g(g(g(g(y1))))), g(z2))) F(g(g(g(g(y0)))), g(g(g(g(g(g(g(y1))))))), g(z2)) -> c2(F(g(g(g(g(y0)))), g(g(g(g(g(g(y1)))))), g(z2))) F(g(g(g(g(0)))), g(g(g(g(g(g(1)))))), g(z2)) -> c2(F(g(g(g(g(0)))), g(g(g(g(g(1))))), g(z2))) F(g(g(g(g(y0)))), g(g(g(g(g(g(y1)))))), g(g(y2))) -> c2(F(g(g(g(g(y0)))), g(g(g(g(g(y1))))), g(g(y2)))) F(0, 1, g(g(y0))) -> c3(F(0, 1, g(y0))) F(0, 1, g(g(g(y2)))) -> c3(F(0, 1, g(g(y2)))) F(0, 1, g(g(g(g(y0))))) -> c3(F(0, 1, g(g(g(y0))))) F(z0, z1, g(g(g(y2)))) -> c3(F(z0, z1, g(g(y2)))) F(g(0), 1, g(g(z2))) -> c3(F(g(0), 1, g(z2))) F(g(g(y0)), z1, g(g(z2))) -> c3(F(g(g(y0)), z1, g(z2))) F(g(y0), z1, g(g(g(y2)))) -> c3(F(g(y0), z1, g(g(y2)))) F(0, g(1), g(g(z2))) -> c3(F(0, g(1), g(z2))) F(z0, 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g(g(g(g(y0)))))) F(g(0), 1, g(g(g(g(g(y0)))))) -> c3(F(g(0), 1, g(g(g(g(y0)))))) F(g(g(0)), 1, g(z2)) -> c3(F(g(g(0)), 1, z2)) F(g(g(g(y0))), z1, g(z2)) -> c3(F(g(g(g(y0))), z1, z2)) F(g(g(z0)), g(g(y1)), g(z2)) -> c3(F(g(g(z0)), g(g(y1)), z2)) F(g(g(0)), g(1), g(z2)) -> c3(F(g(g(0)), g(1), z2)) F(g(g(g(y0))), g(y1), g(z2)) -> c3(F(g(g(g(y0))), g(y1), z2)) F(g(g(g(g(y0)))), g(y1), g(z2)) -> c3(F(g(g(g(g(y0)))), g(y1), z2)) F(g(g(g(y0))), g(g(y1)), g(z2)) -> c3(F(g(g(g(y0))), g(g(y1)), z2)) F(g(g(g(0))), g(1), g(z2)) -> c3(F(g(g(g(0))), g(1), z2)) F(g(g(z0)), g(g(g(y1))), g(z2)) -> c3(F(g(g(z0)), g(g(g(y1))), z2)) F(g(g(0)), g(g(1)), g(z2)) -> c3(F(g(g(0)), g(g(1)), z2)) F(g(g(g(g(y0)))), g(g(y1)), g(z2)) -> c3(F(g(g(g(g(y0)))), g(g(y1)), z2)) F(g(g(g(y0))), g(g(g(y1))), g(z2)) -> c3(F(g(g(g(y0))), g(g(g(y1))), z2)) F(g(g(g(0))), g(g(1)), g(z2)) -> c3(F(g(g(g(0))), g(g(1)), z2)) F(g(g(z0)), g(g(g(g(y1)))), g(z2)) -> c3(F(g(g(z0)), g(g(g(g(y1)))), z2)) F(g(g(0)), g(g(g(1))), g(z2)) -> c3(F(g(g(0)), g(g(g(1))), z2)) F(g(g(g(g(y0)))), g(g(g(y1))), g(z2)) -> c3(F(g(g(g(g(y0)))), g(g(g(y1))), z2)) F(g(g(g(y0))), g(g(g(g(y1)))), g(z2)) -> c3(F(g(g(g(y0))), g(g(g(g(y1)))), z2)) F(g(g(g(0))), g(g(g(1))), g(z2)) -> c3(F(g(g(g(0))), g(g(g(1))), z2)) F(g(g(z0)), g(g(g(g(g(y1))))), g(z2)) -> c3(F(g(g(z0)), g(g(g(g(g(y1))))), z2)) F(g(g(0)), g(g(g(g(1)))), g(z2)) -> c3(F(g(g(0)), g(g(g(g(1)))), z2)) F(g(g(g(g(y0)))), g(g(g(g(y1)))), g(z2)) -> c3(F(g(g(g(g(y0)))), g(g(g(g(y1)))), z2)) F(g(g(g(y0))), g(g(g(g(g(y1))))), g(z2)) -> c3(F(g(g(g(y0))), g(g(g(g(g(y1))))), z2)) F(g(g(g(0))), g(g(g(g(1)))), g(z2)) -> c3(F(g(g(g(0))), g(g(g(g(1)))), z2)) F(g(g(z0)), z1, g(g(g(g(y2))))) -> c3(F(g(g(z0)), z1, g(g(g(y2))))) F(g(g(z0)), g(y1), g(g(g(g(y2))))) -> c3(F(g(g(z0)), g(y1), g(g(g(y2))))) F(g(g(g(0))), g(1), g(g(g(y0)))) -> c3(F(g(g(g(0))), g(1), g(g(y0)))) F(g(g(g(y0))), g(y1), g(g(g(g(y2))))) -> c3(F(g(g(g(y0))), g(y1), g(g(g(y2))))) F(g(g(g(0))), 1, g(g(g(y0)))) -> c3(F(g(g(g(0))), 1, g(g(y0)))) F(g(g(g(g(y0)))), z1, g(g(g(y2)))) -> c3(F(g(g(g(g(y0)))), z1, g(g(y2)))) F(g(g(g(y0))), z1, g(g(g(g(y2))))) -> c3(F(g(g(g(y0))), z1, g(g(g(y2))))) F(g(g(g(g(g(y0))))), g(y1), g(g(g(y2)))) -> c3(F(g(g(g(g(g(y0))))), g(y1), g(g(y2)))) F(g(g(g(g(0)))), g(1), g(g(g(y0)))) -> c3(F(g(g(g(g(0)))), g(1), g(g(y0)))) F(g(g(g(g(y0)))), g(y1), g(g(g(g(y2))))) -> c3(F(g(g(g(g(y0)))), g(y1), g(g(g(y2))))) F(g(g(0)), 1, g(g(g(g(g(y0)))))) -> c3(F(g(g(0)), 1, g(g(g(g(y0)))))) F(g(g(z0)), g(g(y1)), g(g(g(g(y2))))) -> c3(F(g(g(z0)), g(g(y1)), g(g(g(y2))))) F(g(g(g(0))), g(g(1)), g(g(g(y0)))) -> c3(F(g(g(g(0))), g(g(1)), g(g(y0)))) F(g(g(g(y0))), g(g(y1)), g(g(g(g(y2))))) -> c3(F(g(g(g(y0))), g(g(y1)), g(g(g(y2))))) F(g(g(g(g(g(y0))))), g(g(y1)), g(g(g(y2)))) -> c3(F(g(g(g(g(g(y0))))), g(g(y1)), g(g(y2)))) F(g(g(g(g(0)))), g(g(1)), g(g(g(y0)))) -> c3(F(g(g(g(g(0)))), g(g(1)), g(g(y0)))) F(g(g(g(g(y0)))), g(g(y1)), g(g(g(g(y2))))) -> c3(F(g(g(g(g(y0)))), g(g(y1)), g(g(g(y2))))) F(g(g(0)), g(1), g(g(g(g(g(y0)))))) -> c3(F(g(g(0)), g(1), g(g(g(g(y0)))))) F(g(g(z0)), g(g(g(y1))), g(g(g(g(y2))))) -> c3(F(g(g(z0)), g(g(g(y1))), g(g(g(y2))))) F(g(g(g(0))), g(g(g(1))), g(g(g(y0)))) -> c3(F(g(g(g(0))), g(g(g(1))), g(g(y0)))) F(g(g(g(y0))), g(g(g(y1))), g(g(g(g(y2))))) -> c3(F(g(g(g(y0))), g(g(g(y1))), g(g(g(y2))))) F(g(g(g(g(g(y0))))), g(g(g(y1))), g(g(g(y2)))) -> c3(F(g(g(g(g(g(y0))))), g(g(g(y1))), g(g(y2)))) F(g(g(g(g(0)))), g(g(g(1))), g(g(g(y0)))) -> c3(F(g(g(g(g(0)))), g(g(g(1))), g(g(y0)))) F(g(g(g(g(y0)))), g(g(g(y1))), g(g(g(g(y2))))) -> c3(F(g(g(g(g(y0)))), g(g(g(y1))), g(g(g(y2))))) F(g(g(0)), g(g(1)), g(g(g(g(g(y0)))))) -> c3(F(g(g(0)), g(g(1)), g(g(g(g(y0)))))) F(g(g(z0)), g(g(g(g(y1)))), g(g(g(g(y2))))) -> c3(F(g(g(z0)), g(g(g(g(y1)))), g(g(g(y2))))) F(g(g(g(0))), g(g(g(g(1)))), g(g(g(y0)))) -> c3(F(g(g(g(0))), g(g(g(g(1)))), g(g(y0)))) F(g(g(g(y0))), g(g(g(g(y1)))), g(g(g(g(y2))))) -> c3(F(g(g(g(y0))), g(g(g(g(y1)))), g(g(g(y2))))) F(g(g(g(g(g(y0))))), g(g(g(g(y1)))), g(g(g(y2)))) -> c3(F(g(g(g(g(g(y0))))), g(g(g(g(y1)))), g(g(y2)))) F(g(g(g(g(0)))), g(g(g(g(1)))), g(g(g(y0)))) -> c3(F(g(g(g(g(0)))), g(g(g(g(1)))), g(g(y0)))) F(g(g(g(g(y0)))), g(g(g(g(y1)))), g(g(g(g(y2))))) -> c3(F(g(g(g(g(y0)))), g(g(g(g(y1)))), g(g(g(y2))))) F(g(g(0)), g(g(g(1))), g(g(g(g(g(y0)))))) -> c3(F(g(g(0)), g(g(g(1))), g(g(g(g(y0)))))) F(g(g(z0)), g(g(g(g(g(y1))))), g(g(g(g(y2))))) -> c3(F(g(g(z0)), g(g(g(g(g(y1))))), g(g(g(y2))))) F(g(g(0)), g(g(g(g(g(1))))), g(g(g(y0)))) -> c3(F(g(g(0)), g(g(g(g(g(1))))), g(g(y0)))) F(g(g(g(0))), g(g(g(g(g(1))))), g(g(g(y0)))) -> c3(F(g(g(g(0))), g(g(g(g(g(1))))), g(g(y0)))) F(g(g(g(y0))), g(g(g(g(g(y1))))), g(g(g(g(y2))))) -> c3(F(g(g(g(y0))), g(g(g(g(g(y1))))), g(g(g(y2))))) F(g(g(g(g(g(y0))))), g(g(g(g(g(y1))))), g(g(g(y2)))) -> c3(F(g(g(g(g(g(y0))))), g(g(g(g(g(y1))))), g(g(y2)))) F(g(g(g(g(0)))), g(g(g(g(g(1))))), g(g(g(y0)))) -> c3(F(g(g(g(g(0)))), g(g(g(g(g(1))))), g(g(y0)))) F(g(g(g(g(y0)))), g(g(g(g(g(y1))))), g(g(g(g(y2))))) -> c3(F(g(g(g(g(y0)))), g(g(g(g(g(y1))))), g(g(g(y2))))) F(g(g(0)), g(g(g(g(1)))), g(g(g(g(g(y0)))))) -> c3(F(g(g(0)), g(g(g(g(1)))), g(g(g(g(y0)))))) F(g(g(z0)), g(g(g(g(g(g(g(y1))))))), g(g(g(y2)))) -> c3(F(g(g(z0)), g(g(g(g(g(g(g(y1))))))), g(g(y2)))) F(g(g(z0)), g(g(g(g(g(g(y1)))))), g(g(g(g(y2))))) -> c3(F(g(g(z0)), g(g(g(g(g(g(y1)))))), g(g(g(y2))))) F(g(g(0)), g(g(g(g(g(g(1)))))), g(g(g(y0)))) -> c3(F(g(g(0)), g(g(g(g(g(g(1)))))), g(g(y0)))) F(g(g(g(y0))), g(g(g(g(g(g(g(y1))))))), g(g(g(y2)))) -> c3(F(g(g(g(y0))), g(g(g(g(g(g(g(y1))))))), g(g(y2)))) F(g(g(g(0))), g(g(g(g(g(g(1)))))), g(g(g(y0)))) -> c3(F(g(g(g(0))), g(g(g(g(g(g(1)))))), g(g(y0)))) F(g(g(g(y0))), g(g(g(g(g(g(y1)))))), g(g(g(g(y2))))) -> c3(F(g(g(g(y0))), g(g(g(g(g(g(y1)))))), g(g(g(y2))))) F(g(g(g(g(g(y0))))), g(g(g(g(g(g(y1)))))), g(g(g(y2)))) -> c3(F(g(g(g(g(g(y0))))), g(g(g(g(g(g(y1)))))), g(g(y2)))) F(g(g(g(g(y0)))), g(g(g(g(g(g(g(y1))))))), g(g(g(y2)))) -> c3(F(g(g(g(g(y0)))), g(g(g(g(g(g(g(y1))))))), g(g(y2)))) F(g(g(g(g(0)))), g(g(g(g(g(g(1)))))), g(g(g(y0)))) -> c3(F(g(g(g(g(0)))), g(g(g(g(g(g(1)))))), g(g(y0)))) F(g(g(g(g(y0)))), g(g(g(g(g(g(y1)))))), g(g(g(g(y2))))) -> c3(F(g(g(g(g(y0)))), g(g(g(g(g(g(y1)))))), g(g(g(y2))))) F(g(z0), g(g(g(y1))), g(z2)) -> c3(F(g(z0), g(g(g(y1))), z2)) F(g(0), g(g(1)), g(z2)) -> c3(F(g(0), g(g(1)), z2)) F(g(z0), g(g(g(g(y1)))), g(z2)) -> c3(F(g(z0), g(g(g(g(y1)))), z2)) F(g(0), g(g(g(1))), g(z2)) -> c3(F(g(0), g(g(g(1))), z2)) F(g(z0), g(z1), g(g(g(g(y2))))) -> c3(F(g(z0), g(z1), g(g(g(y2))))) F(g(z0), g(g(y1)), g(g(g(g(y2))))) -> c3(F(g(z0), g(g(y1)), g(g(g(y2))))) F(g(0), g(1), g(g(g(g(g(y0)))))) -> c3(F(g(0), g(1), g(g(g(g(y0)))))) F(g(z0), g(g(g(y1))), g(g(g(g(y2))))) -> c3(F(g(z0), g(g(g(y1))), g(g(g(y2))))) F(g(0), g(g(1)), g(g(g(g(g(y0)))))) -> c3(F(g(0), g(g(1)), g(g(g(g(y0)))))) F(g(0), g(g(g(g(1)))), g(g(g(y0)))) -> c3(F(g(0), g(g(g(g(1)))), g(g(y0)))) F(g(z0), g(g(g(g(y1)))), g(g(g(g(y2))))) -> c3(F(g(z0), g(g(g(g(y1)))), g(g(g(y2))))) F(g(0), g(g(g(1))), g(g(g(g(g(y0)))))) -> c3(F(g(0), g(g(g(1))), g(g(g(g(y0)))))) F(g(z0), g(g(g(g(g(g(y1)))))), g(g(g(y2)))) -> c3(F(g(z0), g(g(g(g(g(g(y1)))))), g(g(y2)))) F(g(0), g(g(g(g(g(1))))), g(g(g(y0)))) -> c3(F(g(0), g(g(g(g(g(1))))), g(g(y0)))) F(g(z0), g(g(g(g(g(y1))))), g(g(g(g(y2))))) -> c3(F(g(z0), g(g(g(g(g(y1))))), g(g(g(y2))))) F(g(g(y0)), g(z1), g(g(g(g(g(y2)))))) -> c3(F(g(g(y0)), g(z1), g(g(g(g(y2)))))) F(g(g(g(0))), g(1), g(g(g(g(y0))))) -> c3(F(g(g(g(0))), g(1), g(g(g(y0))))) F(g(g(g(y0))), g(z1), g(g(g(g(g(y2)))))) -> c3(F(g(g(g(y0))), g(z1), g(g(g(g(y2)))))) F(g(g(g(g(g(y0))))), g(z1), g(g(g(g(y2))))) -> c3(F(g(g(g(g(g(y0))))), g(z1), g(g(g(y2))))) F(g(g(g(g(0)))), g(1), g(g(g(g(y0))))) -> c3(F(g(g(g(g(0)))), g(1), g(g(g(y0))))) F(g(g(g(g(y0)))), g(z1), g(g(g(g(g(y2)))))) -> c3(F(g(g(g(g(y0)))), g(z1), g(g(g(g(y2)))))) F(g(g(y0)), g(g(y1)), g(g(g(g(g(y2)))))) -> c3(F(g(g(y0)), g(g(y1)), g(g(g(g(y2)))))) F(g(g(g(0))), g(g(1)), g(g(g(g(y0))))) -> c3(F(g(g(g(0))), g(g(1)), g(g(g(y0))))) F(g(g(g(y0))), g(g(y1)), g(g(g(g(g(y2)))))) -> c3(F(g(g(g(y0))), g(g(y1)), g(g(g(g(y2)))))) F(g(g(g(g(g(y0))))), g(g(y1)), g(g(g(g(y2))))) -> c3(F(g(g(g(g(g(y0))))), g(g(y1)), g(g(g(y2))))) F(g(g(g(g(0)))), g(g(1)), g(g(g(g(y0))))) -> c3(F(g(g(g(g(0)))), g(g(1)), g(g(g(y0))))) F(g(g(g(g(y0)))), g(g(y1)), g(g(g(g(g(y2)))))) -> c3(F(g(g(g(g(y0)))), g(g(y1)), g(g(g(g(y2)))))) F(g(g(0)), g(1), g(g(g(g(g(g(y0))))))) -> c3(F(g(g(0)), g(1), g(g(g(g(g(y0))))))) F(g(g(y0)), g(g(g(y1))), g(g(g(g(g(y2)))))) -> c3(F(g(g(y0)), g(g(g(y1))), g(g(g(g(y2)))))) F(g(g(g(0))), g(g(g(1))), g(g(g(g(y0))))) -> c3(F(g(g(g(0))), g(g(g(1))), g(g(g(y0))))) F(g(g(g(y0))), g(g(g(y1))), g(g(g(g(g(y2)))))) -> c3(F(g(g(g(y0))), g(g(g(y1))), g(g(g(g(y2)))))) F(g(g(g(g(g(y0))))), g(g(g(y1))), g(g(g(g(y2))))) -> c3(F(g(g(g(g(g(y0))))), g(g(g(y1))), g(g(g(y2))))) F(g(g(g(g(0)))), g(g(g(1))), g(g(g(g(y0))))) -> c3(F(g(g(g(g(0)))), g(g(g(1))), g(g(g(y0))))) F(g(g(g(g(y0)))), g(g(g(y1))), g(g(g(g(g(y2)))))) -> c3(F(g(g(g(g(y0)))), g(g(g(y1))), g(g(g(g(y2)))))) F(g(g(0)), g(g(1)), g(g(g(g(g(g(y0))))))) -> c3(F(g(g(0)), g(g(1)), g(g(g(g(g(y0))))))) F(g(g(y0)), g(g(g(g(y1)))), g(g(g(g(g(y2)))))) -> c3(F(g(g(y0)), g(g(g(g(y1)))), g(g(g(g(y2)))))) F(g(g(g(0))), g(g(g(g(1)))), g(g(g(g(y0))))) -> c3(F(g(g(g(0))), g(g(g(g(1)))), g(g(g(y0))))) F(g(g(g(y0))), g(g(g(g(y1)))), g(g(g(g(g(y2)))))) -> c3(F(g(g(g(y0))), g(g(g(g(y1)))), g(g(g(g(y2)))))) F(g(g(g(g(g(y0))))), g(g(g(g(y1)))), g(g(g(g(y2))))) -> c3(F(g(g(g(g(g(y0))))), g(g(g(g(y1)))), g(g(g(y2))))) F(g(g(g(g(0)))), g(g(g(g(1)))), g(g(g(g(y0))))) -> c3(F(g(g(g(g(0)))), g(g(g(g(1)))), g(g(g(y0))))) F(g(g(g(g(y0)))), g(g(g(g(y1)))), g(g(g(g(g(y2)))))) -> c3(F(g(g(g(g(y0)))), g(g(g(g(y1)))), g(g(g(g(y2)))))) F(g(g(0)), g(g(g(1))), g(g(g(g(g(g(y0))))))) -> c3(F(g(g(0)), g(g(g(1))), g(g(g(g(g(y0))))))) F(g(g(y0)), g(g(g(g(g(y1))))), g(g(g(g(g(y2)))))) -> c3(F(g(g(y0)), g(g(g(g(g(y1))))), g(g(g(g(y2)))))) F(g(g(0)), g(g(g(g(g(1))))), g(g(g(g(y0))))) -> c3(F(g(g(0)), g(g(g(g(g(1))))), g(g(g(y0))))) F(g(g(g(0))), g(g(g(g(g(1))))), g(g(g(g(y0))))) -> c3(F(g(g(g(0))), g(g(g(g(g(1))))), g(g(g(y0))))) F(g(g(g(y0))), g(g(g(g(g(y1))))), g(g(g(g(g(y2)))))) -> c3(F(g(g(g(y0))), g(g(g(g(g(y1))))), g(g(g(g(y2)))))) F(g(g(g(g(g(y0))))), g(g(g(g(g(y1))))), g(g(g(g(y2))))) -> c3(F(g(g(g(g(g(y0))))), g(g(g(g(g(y1))))), g(g(g(y2))))) F(g(g(g(g(0)))), g(g(g(g(g(1))))), g(g(g(g(y0))))) -> c3(F(g(g(g(g(0)))), g(g(g(g(g(1))))), g(g(g(y0))))) F(g(g(g(g(y0)))), g(g(g(g(g(y1))))), g(g(g(g(g(y2)))))) -> c3(F(g(g(g(g(y0)))), g(g(g(g(g(y1))))), g(g(g(g(y2)))))) F(g(g(0)), g(g(g(g(1)))), g(g(g(g(g(g(y0))))))) -> c3(F(g(g(0)), g(g(g(g(1)))), g(g(g(g(g(y0))))))) F(g(g(y0)), g(g(g(g(g(g(g(y1))))))), g(g(g(g(y2))))) -> c3(F(g(g(y0)), g(g(g(g(g(g(g(y1))))))), g(g(g(y2))))) F(g(g(y0)), g(g(g(g(g(g(y1)))))), g(g(g(g(g(y2)))))) -> c3(F(g(g(y0)), g(g(g(g(g(g(y1)))))), g(g(g(g(y2)))))) F(g(g(0)), g(g(g(g(g(g(1)))))), g(g(g(g(y0))))) -> c3(F(g(g(0)), g(g(g(g(g(g(1)))))), g(g(g(y0))))) F(g(g(g(y0))), g(g(g(g(g(g(g(y1))))))), g(g(g(g(y2))))) -> c3(F(g(g(g(y0))), g(g(g(g(g(g(g(y1))))))), g(g(g(y2))))) F(g(g(g(0))), g(g(g(g(g(g(1)))))), g(g(g(g(y0))))) -> c3(F(g(g(g(0))), g(g(g(g(g(g(1)))))), g(g(g(y0))))) F(g(g(g(y0))), g(g(g(g(g(g(y1)))))), g(g(g(g(g(y2)))))) -> c3(F(g(g(g(y0))), g(g(g(g(g(g(y1)))))), g(g(g(g(y2)))))) F(g(g(g(g(g(y0))))), g(g(g(g(g(g(y1)))))), g(g(g(g(y2))))) -> c3(F(g(g(g(g(g(y0))))), g(g(g(g(g(g(y1)))))), g(g(g(y2))))) F(g(g(g(g(y0)))), g(g(g(g(g(g(g(y1))))))), g(g(g(g(y2))))) -> c3(F(g(g(g(g(y0)))), g(g(g(g(g(g(g(y1))))))), g(g(g(y2))))) F(g(g(g(g(0)))), g(g(g(g(g(g(1)))))), g(g(g(g(y0))))) -> c3(F(g(g(g(g(0)))), g(g(g(g(g(g(1)))))), g(g(g(y0))))) F(g(g(g(g(y0)))), g(g(g(g(g(g(y1)))))), g(g(g(g(g(y2)))))) -> c3(F(g(g(g(g(y0)))), g(g(g(g(g(g(y1)))))), g(g(g(g(y2)))))) F(g(z0), z1, g(g(g(g(y2))))) -> c3(F(g(z0), z1, g(g(g(y2))))) F(g(0), 1, g(g(g(g(g(g(y0))))))) -> c3(F(g(0), 1, g(g(g(g(g(y0))))))) F(g(g(y0)), z1, g(g(g(g(g(y2)))))) -> c3(F(g(g(y0)), z1, g(g(g(g(y2)))))) F(g(g(g(0))), 1, g(g(g(g(y0))))) -> c3(F(g(g(g(0))), 1, g(g(g(y0))))) F(g(g(g(g(y0)))), z1, g(g(g(g(y2))))) -> c3(F(g(g(g(g(y0)))), z1, g(g(g(y2))))) F(g(g(g(y0))), z1, g(g(g(g(g(y2)))))) -> c3(F(g(g(g(y0))), z1, g(g(g(g(y2)))))) F(g(g(0)), 1, g(g(g(g(g(g(y0))))))) -> c3(F(g(g(0)), 1, g(g(g(g(g(y0))))))) F(g(z0), g(y1), g(g(g(g(g(y2)))))) -> c3(F(g(z0), g(y1), g(g(g(g(y2)))))) F(g(z0), g(g(y1)), g(g(g(g(g(y2)))))) -> c3(F(g(z0), g(g(y1)), g(g(g(g(y2)))))) F(g(0), g(1), g(g(g(g(g(g(y0))))))) -> c3(F(g(0), g(1), g(g(g(g(g(y0))))))) F(g(z0), g(g(g(y1))), g(g(g(g(g(y2)))))) -> c3(F(g(z0), g(g(g(y1))), g(g(g(g(y2)))))) F(g(0), g(g(1)), g(g(g(g(g(g(y0))))))) -> c3(F(g(0), g(g(1)), g(g(g(g(g(y0))))))) F(g(0), g(g(g(g(1)))), g(g(g(g(y0))))) -> c3(F(g(0), g(g(g(g(1)))), g(g(g(y0))))) F(g(z0), g(g(g(g(y1)))), g(g(g(g(g(y2)))))) -> c3(F(g(z0), g(g(g(g(y1)))), g(g(g(g(y2)))))) F(g(0), g(g(g(1))), g(g(g(g(g(g(y0))))))) -> c3(F(g(0), g(g(g(1))), g(g(g(g(g(y0))))))) F(g(z0), g(g(g(g(g(g(y1)))))), g(g(g(g(y2))))) -> c3(F(g(z0), g(g(g(g(g(g(y1)))))), g(g(g(y2))))) F(g(0), g(g(g(g(g(1))))), g(g(g(g(y0))))) -> c3(F(g(0), g(g(g(g(g(1))))), g(g(g(y0))))) F(g(z0), g(g(g(g(g(y1))))), g(g(g(g(g(y2)))))) -> c3(F(g(z0), g(g(g(g(g(y1))))), g(g(g(g(y2)))))) F(g(g(y0)), g(y1), g(g(g(g(g(g(y2))))))) -> c3(F(g(g(y0)), g(y1), g(g(g(g(g(y2))))))) F(g(g(g(0))), g(1), g(g(g(g(g(y0)))))) -> c3(F(g(g(g(0))), g(1), g(g(g(g(y0)))))) F(g(g(g(y0))), g(y1), g(g(g(g(g(g(y2))))))) -> c3(F(g(g(g(y0))), g(y1), g(g(g(g(g(y2))))))) F(g(g(g(g(g(y0))))), g(y1), g(g(g(g(g(y2)))))) -> c3(F(g(g(g(g(g(y0))))), g(y1), g(g(g(g(y2)))))) F(g(g(g(g(0)))), g(1), g(g(g(g(g(y0)))))) -> c3(F(g(g(g(g(0)))), g(1), g(g(g(g(y0)))))) F(g(g(g(g(y0)))), g(y1), g(g(g(g(g(g(y2))))))) -> c3(F(g(g(g(g(y0)))), g(y1), g(g(g(g(g(y2))))))) F(g(g(y0)), g(g(y1)), g(g(g(g(g(g(y2))))))) -> c3(F(g(g(y0)), g(g(y1)), g(g(g(g(g(y2))))))) F(g(g(g(0))), g(g(1)), g(g(g(g(g(y0)))))) -> c3(F(g(g(g(0))), g(g(1)), g(g(g(g(y0)))))) F(g(g(g(y0))), g(g(y1)), g(g(g(g(g(g(y2))))))) -> c3(F(g(g(g(y0))), g(g(y1)), g(g(g(g(g(y2))))))) F(g(g(g(g(g(y0))))), g(g(y1)), g(g(g(g(g(y2)))))) -> c3(F(g(g(g(g(g(y0))))), g(g(y1)), g(g(g(g(y2)))))) F(g(g(g(g(0)))), g(g(1)), g(g(g(g(g(y0)))))) -> c3(F(g(g(g(g(0)))), g(g(1)), g(g(g(g(y0)))))) F(g(g(g(g(y0)))), g(g(y1)), g(g(g(g(g(g(y2))))))) -> c3(F(g(g(g(g(y0)))), g(g(y1)), g(g(g(g(g(y2))))))) F(g(g(0)), g(1), g(g(g(g(g(g(g(y0)))))))) -> c3(F(g(g(0)), g(1), g(g(g(g(g(g(y0)))))))) F(g(g(y0)), g(g(g(y1))), g(g(g(g(g(g(y2))))))) -> c3(F(g(g(y0)), g(g(g(y1))), g(g(g(g(g(y2))))))) F(g(g(g(0))), g(g(g(1))), g(g(g(g(g(y0)))))) -> c3(F(g(g(g(0))), g(g(g(1))), g(g(g(g(y0)))))) F(g(g(g(y0))), g(g(g(y1))), g(g(g(g(g(g(y2))))))) -> c3(F(g(g(g(y0))), g(g(g(y1))), g(g(g(g(g(y2))))))) F(g(g(g(g(g(y0))))), g(g(g(y1))), g(g(g(g(g(y2)))))) -> c3(F(g(g(g(g(g(y0))))), g(g(g(y1))), g(g(g(g(y2)))))) F(g(g(g(g(0)))), g(g(g(1))), g(g(g(g(g(y0)))))) -> c3(F(g(g(g(g(0)))), g(g(g(1))), g(g(g(g(y0)))))) F(g(g(g(g(y0)))), g(g(g(y1))), g(g(g(g(g(g(y2))))))) -> c3(F(g(g(g(g(y0)))), g(g(g(y1))), g(g(g(g(g(y2))))))) F(g(g(0)), g(g(1)), g(g(g(g(g(g(g(y0)))))))) -> c3(F(g(g(0)), g(g(1)), g(g(g(g(g(g(y0)))))))) F(g(g(y0)), g(g(g(g(y1)))), g(g(g(g(g(g(y2))))))) -> c3(F(g(g(y0)), g(g(g(g(y1)))), g(g(g(g(g(y2))))))) F(g(g(g(0))), g(g(g(g(1)))), g(g(g(g(g(y0)))))) -> c3(F(g(g(g(0))), g(g(g(g(1)))), g(g(g(g(y0)))))) F(g(g(g(y0))), g(g(g(g(y1)))), g(g(g(g(g(g(y2))))))) -> c3(F(g(g(g(y0))), g(g(g(g(y1)))), g(g(g(g(g(y2))))))) F(g(g(g(g(g(y0))))), g(g(g(g(y1)))), g(g(g(g(g(y2)))))) -> c3(F(g(g(g(g(g(y0))))), g(g(g(g(y1)))), g(g(g(g(y2)))))) F(g(g(g(g(0)))), g(g(g(g(1)))), g(g(g(g(g(y0)))))) -> c3(F(g(g(g(g(0)))), g(g(g(g(1)))), g(g(g(g(y0)))))) F(g(g(g(g(y0)))), g(g(g(g(y1)))), g(g(g(g(g(g(y2))))))) -> c3(F(g(g(g(g(y0)))), g(g(g(g(y1)))), g(g(g(g(g(y2))))))) F(g(g(0)), g(g(g(1))), g(g(g(g(g(g(g(y0)))))))) -> c3(F(g(g(0)), g(g(g(1))), g(g(g(g(g(g(y0)))))))) F(g(g(y0)), g(g(g(g(g(y1))))), g(g(g(g(g(g(y2))))))) -> c3(F(g(g(y0)), g(g(g(g(g(y1))))), g(g(g(g(g(y2))))))) F(g(g(0)), g(g(g(g(g(1))))), g(g(g(g(g(y0)))))) -> c3(F(g(g(0)), g(g(g(g(g(1))))), g(g(g(g(y0)))))) F(g(g(g(0))), g(g(g(g(g(1))))), g(g(g(g(g(y0)))))) -> c3(F(g(g(g(0))), g(g(g(g(g(1))))), g(g(g(g(y0)))))) F(g(g(g(y0))), g(g(g(g(g(y1))))), g(g(g(g(g(g(y2))))))) -> c3(F(g(g(g(y0))), g(g(g(g(g(y1))))), g(g(g(g(g(y2))))))) F(g(g(g(g(g(y0))))), g(g(g(g(g(y1))))), g(g(g(g(g(y2)))))) -> c3(F(g(g(g(g(g(y0))))), g(g(g(g(g(y1))))), g(g(g(g(y2)))))) F(g(g(g(g(0)))), g(g(g(g(g(1))))), g(g(g(g(g(y0)))))) -> c3(F(g(g(g(g(0)))), g(g(g(g(g(1))))), g(g(g(g(y0)))))) F(g(g(g(g(y0)))), g(g(g(g(g(y1))))), g(g(g(g(g(g(y2))))))) -> c3(F(g(g(g(g(y0)))), g(g(g(g(g(y1))))), g(g(g(g(g(y2))))))) F(g(g(0)), g(g(g(g(1)))), g(g(g(g(g(g(g(y0)))))))) -> c3(F(g(g(0)), g(g(g(g(1)))), g(g(g(g(g(g(y0)))))))) F(g(g(y0)), g(g(g(g(g(g(g(y1))))))), g(g(g(g(g(y2)))))) -> c3(F(g(g(y0)), g(g(g(g(g(g(g(y1))))))), g(g(g(g(y2)))))) F(g(g(y0)), g(g(g(g(g(g(y1)))))), g(g(g(g(g(g(y2))))))) -> c3(F(g(g(y0)), g(g(g(g(g(g(y1)))))), g(g(g(g(g(y2))))))) F(g(g(0)), g(g(g(g(g(g(1)))))), g(g(g(g(g(y0)))))) -> c3(F(g(g(0)), g(g(g(g(g(g(1)))))), g(g(g(g(y0)))))) F(g(g(g(y0))), g(g(g(g(g(g(g(y1))))))), g(g(g(g(g(y2)))))) -> c3(F(g(g(g(y0))), g(g(g(g(g(g(g(y1))))))), g(g(g(g(y2)))))) F(g(g(g(0))), g(g(g(g(g(g(1)))))), g(g(g(g(g(y0)))))) -> c3(F(g(g(g(0))), g(g(g(g(g(g(1)))))), g(g(g(g(y0)))))) F(g(g(g(y0))), g(g(g(g(g(g(y1)))))), g(g(g(g(g(g(y2))))))) -> c3(F(g(g(g(y0))), g(g(g(g(g(g(y1)))))), g(g(g(g(g(y2))))))) F(g(g(g(g(g(y0))))), g(g(g(g(g(g(y1)))))), g(g(g(g(g(y2)))))) -> c3(F(g(g(g(g(g(y0))))), g(g(g(g(g(g(y1)))))), g(g(g(g(y2)))))) F(g(g(g(g(y0)))), g(g(g(g(g(g(g(y1))))))), g(g(g(g(g(y2)))))) -> c3(F(g(g(g(g(y0)))), g(g(g(g(g(g(g(y1))))))), g(g(g(g(y2)))))) F(g(g(g(g(0)))), g(g(g(g(g(g(1)))))), g(g(g(g(g(y0)))))) -> c3(F(g(g(g(g(0)))), g(g(g(g(g(g(1)))))), g(g(g(g(y0)))))) F(g(g(g(g(y0)))), g(g(g(g(g(g(y1)))))), g(g(g(g(g(g(y2))))))) -> c3(F(g(g(g(g(y0)))), g(g(g(g(g(g(y1)))))), g(g(g(g(g(y2))))))) F(0, g(1), g(g(g(g(g(y0)))))) -> c3(F(0, g(1), g(g(g(g(y0)))))) S tuples: F(g(g(0)), 1, z2) -> c1(F(g(0), 1, z2)) F(g(g(g(y0))), z1, z2) -> c1(F(g(g(y0)), z1, z2)) F(g(g(z0)), g(y1), z2) -> c1(F(g(z0), g(y1), z2)) F(g(g(z0)), z1, g(y2)) -> c1(F(g(z0), z1, g(y2))) F(g(g(z0)), g(g(y1)), z2) -> c1(F(g(z0), g(g(y1)), z2)) F(g(g(z0)), g(y1), g(y2)) -> c1(F(g(z0), g(y1), g(y2))) F(g(g(0)), g(1), z2) -> c1(F(g(0), g(1), z2)) F(g(g(g(y0))), g(y1), z2) -> c1(F(g(g(y0)), g(y1), z2)) F(g(g(z0)), z1, g(g(y2))) -> c1(F(g(z0), z1, g(g(y2)))) F(g(g(0)), 1, g(y0)) -> c1(F(g(0), 1, g(y0))) F(g(g(g(y0))), z1, g(y2)) -> c1(F(g(g(y0)), z1, g(y2))) F(g(g(z0)), g(g(y1)), g(y2)) -> c1(F(g(z0), g(g(y1)), g(y2))) F(g(g(z0)), g(y1), g(g(y2))) -> c1(F(g(z0), g(y1), g(g(y2)))) F(g(g(0)), g(1), g(y0)) -> c1(F(g(0), g(1), g(y0))) F(g(g(g(y0))), g(y1), g(y2)) -> c1(F(g(g(y0)), g(y1), g(y2))) F(g(0), g(1), z2) -> c1(F(0, g(1), z2)) F(g(z0), g(g(y1)), z2) -> c1(F(z0, g(g(y1)), z2)) F(g(z0), g(z1), g(y2)) -> c1(F(z0, g(z1), g(y2))) F(g(z0), g(z1), g(g(y2))) -> c1(F(z0, g(z1), g(g(y2)))) F(g(0), g(1), g(y0)) -> c1(F(0, g(1), g(y0))) F(g(z0), g(g(y1)), g(y2)) -> c1(F(z0, g(g(y1)), g(y2))) F(g(g(g(g(y0)))), g(z1), z2) -> c1(F(g(g(g(y0))), g(z1), z2)) F(g(g(g(y0))), g(g(y1)), z2) -> c1(F(g(g(y0)), g(g(y1)), z2)) F(g(g(g(0))), g(1), z2) -> c1(F(g(g(0)), g(1), z2)) F(g(g(g(y0))), g(z1), g(g(y2))) -> c1(F(g(g(y0)), g(z1), g(g(y2)))) F(g(g(g(g(y0)))), g(z1), g(y2)) -> c1(F(g(g(g(y0))), g(z1), g(y2))) F(g(g(g(y0))), g(g(y1)), g(y2)) -> c1(F(g(g(y0)), g(g(y1)), g(y2))) F(g(g(g(0))), g(1), g(y0)) -> c1(F(g(g(0)), g(1), g(y0))) F(0, 1, g(y2)) -> c(F(g(g(y2)), g(g(y2)), g(y2))) F(0, 1, g(g(y2))) -> c(F(g(g(g(y2))), g(g(g(y2))), g(g(y2)))) F(0, 1, g(g(g(y0)))) -> c(F(g(g(g(g(y0)))), g(g(g(g(y0)))), g(g(g(y0))))) F(g(0), 1, g(y0)) -> c1(F(0, 1, g(y0))) F(g(0), 1, g(g(y2))) -> c1(F(0, 1, g(g(y2)))) F(g(0), 1, g(g(g(y0)))) -> c1(F(0, 1, g(g(g(y0))))) F(g(z0), z1, g(g(y2))) -> c1(F(z0, z1, g(g(y2)))) F(g(g(g(0))), 1, g(z2)) -> c1(F(g(g(0)), 1, g(z2))) F(g(g(g(g(y0)))), z1, g(z2)) -> c1(F(g(g(g(y0))), z1, g(z2))) F(g(g(g(y0))), z1, g(g(y2))) -> c1(F(g(g(y0)), z1, g(g(y2)))) F(g(g(g(g(g(y0))))), g(y1), g(z2)) -> c1(F(g(g(g(g(y0)))), g(y1), g(z2))) F(g(g(g(g(y0)))), g(g(y1)), g(z2)) -> c1(F(g(g(g(y0))), g(g(y1)), g(z2))) F(g(g(g(g(0)))), g(1), g(z2)) -> c1(F(g(g(g(0))), g(1), g(z2))) F(g(g(g(g(y0)))), g(y1), g(g(y2))) -> c1(F(g(g(g(y0))), g(y1), g(g(y2)))) F(g(g(0)), 1, g(g(y0))) -> c1(F(g(0), 1, g(g(y0)))) F(g(g(0)), 1, g(g(g(y0)))) -> c1(F(g(0), 1, g(g(g(y0))))) F(0, g(1), g(y0)) -> c2(F(0, 1, g(y0))) F(0, g(1), g(g(y2))) -> c2(F(0, 1, g(g(y2)))) F(0, g(1), g(g(g(y0)))) -> c2(F(0, 1, g(g(g(y0))))) F(z0, g(g(g(y1))), z2) -> c2(F(z0, g(g(y1)), z2)) F(z0, g(g(z1)), g(y2)) -> c2(F(z0, g(z1), g(y2))) F(g(0), g(g(1)), z2) -> c2(F(g(0), g(1), z2)) F(g(g(y0)), g(g(z1)), z2) -> c2(F(g(g(y0)), g(z1), z2)) F(g(y0), g(g(g(y1))), z2) -> c2(F(g(y0), g(g(y1)), z2)) F(g(y0), g(g(z1)), g(y2)) -> c2(F(g(y0), g(z1), g(y2))) F(z0, g(g(z1)), g(g(y2))) -> c2(F(z0, g(z1), g(g(y2)))) F(g(g(y0)), g(g(z1)), g(y2)) -> c2(F(g(g(y0)), g(z1), g(y2))) F(g(y0), g(g(z1)), g(g(y2))) -> c2(F(g(y0), g(z1), g(g(y2)))) F(0, g(g(1)), g(y0)) -> c2(F(0, g(1), g(y0))) F(z0, g(g(g(y1))), g(y2)) -> c2(F(z0, g(g(y1)), g(y2))) F(g(0), g(g(1)), g(y0)) -> c2(F(g(0), g(1), g(y0))) F(g(y0), g(g(g(y1))), g(y2)) -> c2(F(g(y0), g(g(y1)), g(y2))) F(g(g(g(y0))), g(g(z1)), z2) -> c2(F(g(g(g(y0))), g(z1), z2)) F(g(g(y0)), g(g(g(y1))), z2) -> c2(F(g(g(y0)), g(g(y1)), z2)) F(g(g(0)), g(g(1)), z2) -> c2(F(g(g(0)), g(1), z2)) F(g(g(y0)), g(g(z1)), g(g(y2))) -> c2(F(g(g(y0)), g(z1), g(g(y2)))) F(g(g(g(y0))), g(g(z1)), g(y2)) -> c2(F(g(g(g(y0))), g(z1), g(y2))) F(g(g(y0)), g(g(g(y1))), g(y2)) -> c2(F(g(g(y0)), g(g(y1)), g(y2))) F(g(g(0)), g(g(1)), g(y0)) -> c2(F(g(g(0)), g(1), g(y0))) F(g(g(g(g(y0)))), g(g(z1)), z2) -> c2(F(g(g(g(g(y0)))), g(z1), z2)) F(g(g(g(y0))), g(g(g(y1))), z2) -> c2(F(g(g(g(y0))), g(g(y1)), z2)) F(g(g(g(0))), g(g(1)), z2) -> c2(F(g(g(g(0))), g(1), z2)) F(g(g(g(y0))), g(g(z1)), g(g(y2))) -> c2(F(g(g(g(y0))), g(z1), g(g(y2)))) F(g(g(g(g(y0)))), g(g(z1)), g(y2)) -> c2(F(g(g(g(g(y0)))), g(z1), g(y2))) F(g(g(g(y0))), g(g(g(y1))), g(y2)) -> c2(F(g(g(g(y0))), g(g(y1)), g(y2))) F(g(g(g(0))), g(g(1)), g(y0)) -> c2(F(g(g(g(0))), g(1), g(y0))) F(g(g(g(g(g(y0))))), g(g(z1)), g(y2)) -> c2(F(g(g(g(g(g(y0))))), g(z1), g(y2))) F(g(g(g(g(y0)))), g(g(g(y1))), g(y2)) -> c2(F(g(g(g(g(y0)))), g(g(y1)), g(y2))) F(g(g(g(g(0)))), g(g(1)), g(y0)) -> c2(F(g(g(g(g(0)))), g(1), g(y0))) F(g(g(g(g(y0)))), g(g(z1)), g(g(y2))) -> c2(F(g(g(g(g(y0)))), g(z1), g(g(y2)))) F(0, g(g(1)), g(g(y0))) -> c2(F(0, g(1), g(g(y0)))) F(0, g(g(1)), g(g(g(y0)))) -> c2(F(0, g(1), g(g(g(y0))))) F(z0, g(z1), g(g(y2))) -> c2(F(z0, z1, g(g(y2)))) F(g(0), g(1), g(z2)) -> c2(F(g(0), 1, g(z2))) F(g(g(y0)), g(z1), g(z2)) -> c2(F(g(g(y0)), z1, g(z2))) F(g(y0), g(z1), g(g(y2))) -> c2(F(g(y0), z1, g(g(y2)))) F(g(g(0)), g(1), g(z2)) -> c2(F(g(g(0)), 1, g(z2))) F(g(g(g(y0))), g(z1), g(z2)) -> c2(F(g(g(g(y0))), z1, g(z2))) F(g(g(y0)), g(z1), g(g(y2))) -> c2(F(g(g(y0)), z1, g(g(y2)))) F(g(0), g(1), g(g(y0))) -> c2(F(g(0), 1, g(g(y0)))) F(g(0), g(1), g(g(g(y0)))) -> c2(F(g(0), 1, g(g(g(y0))))) F(g(g(g(0))), g(1), g(z2)) -> c2(F(g(g(g(0))), 1, g(z2))) F(g(g(g(g(y0)))), g(z1), g(z2)) -> c2(F(g(g(g(g(y0)))), z1, g(z2))) F(g(g(g(y0))), g(z1), g(g(y2))) -> c2(F(g(g(g(y0))), z1, g(g(y2)))) F(g(g(0)), g(1), g(g(y0))) -> c2(F(g(g(0)), 1, g(g(y0)))) F(g(g(0)), g(1), g(g(g(y0)))) -> c2(F(g(g(0)), 1, g(g(g(y0))))) F(z0, g(g(g(g(y1)))), g(z2)) -> c2(F(z0, g(g(g(y1))), g(z2))) F(g(0), g(g(g(1))), g(z2)) -> c2(F(g(0), g(g(1)), g(z2))) F(g(y0), g(g(g(g(y1)))), g(z2)) -> c2(F(g(y0), g(g(g(y1))), g(z2))) F(z0, g(g(g(y1))), g(g(y2))) -> c2(F(z0, g(g(y1)), g(g(y2)))) F(g(y0), g(g(g(y1))), g(g(y2))) -> c2(F(g(y0), g(g(y1)), g(g(y2)))) F(0, g(g(g(1))), g(z2)) -> c2(F(0, g(g(1)), g(z2))) F(g(g(y0)), g(g(g(g(y1)))), g(z2)) -> c2(F(g(g(y0)), g(g(g(y1))), g(z2))) F(g(g(0)), g(g(g(1))), g(z2)) -> c2(F(g(g(0)), g(g(1)), g(z2))) F(g(g(y0)), g(g(g(y1))), g(g(y2))) -> c2(F(g(g(y0)), g(g(y1)), g(g(y2)))) F(g(g(g(y0))), g(g(g(g(y1)))), g(z2)) -> c2(F(g(g(g(y0))), g(g(g(y1))), g(z2))) F(g(g(g(0))), g(g(g(1))), g(z2)) -> c2(F(g(g(g(0))), g(g(1)), g(z2))) F(g(g(g(y0))), g(g(g(y1))), g(g(y2))) -> c2(F(g(g(g(y0))), g(g(y1)), g(g(y2)))) F(g(g(g(g(g(y0))))), g(g(g(y1))), g(z2)) -> c2(F(g(g(g(g(g(y0))))), g(g(y1)), g(z2))) F(g(g(g(g(y0)))), g(g(g(g(y1)))), g(z2)) -> c2(F(g(g(g(g(y0)))), g(g(g(y1))), g(z2))) F(g(g(g(g(0)))), g(g(g(1))), g(z2)) -> c2(F(g(g(g(g(0)))), g(g(1)), g(z2))) F(g(g(g(g(y0)))), g(g(g(y1))), g(g(y2))) -> c2(F(g(g(g(g(y0)))), g(g(y1)), g(g(y2)))) F(0, g(g(g(1))), g(g(y0))) -> c2(F(0, g(g(1)), g(g(y0)))) F(0, g(g(g(1))), g(g(g(y0)))) -> c2(F(0, g(g(1)), g(g(g(y0))))) F(g(g(0)), g(1), z2) -> c2(F(g(g(0)), 1, z2)) F(g(g(g(y0))), g(z1), z2) -> c2(F(g(g(g(y0))), z1, z2)) F(g(g(z0)), g(g(g(g(y1)))), z2) -> c2(F(g(g(z0)), g(g(g(y1))), z2)) F(g(g(0)), g(g(g(1))), z2) -> c2(F(g(g(0)), g(g(1)), z2)) F(g(g(g(g(y0)))), g(g(g(y1))), z2) -> c2(F(g(g(g(g(y0)))), g(g(y1)), z2)) F(g(g(g(y0))), g(g(g(g(y1)))), z2) -> c2(F(g(g(g(y0))), g(g(g(y1))), z2)) F(g(g(g(0))), g(g(g(1))), z2) -> c2(F(g(g(g(0))), g(g(1)), z2)) F(g(g(0)), g(g(1)), g(g(y0))) -> c2(F(g(g(0)), g(1), g(g(y0)))) F(g(g(0)), g(g(1)), g(g(g(y0)))) -> c2(F(g(g(0)), g(1), g(g(g(y0))))) F(g(g(z0)), g(g(g(g(g(y1))))), g(y2)) -> c2(F(g(g(z0)), g(g(g(g(y1)))), g(y2))) F(g(g(z0)), g(g(g(g(y1)))), g(g(y2))) -> c2(F(g(g(z0)), g(g(g(y1))), g(g(y2)))) F(g(g(0)), g(g(g(g(1)))), g(y0)) -> c2(F(g(g(0)), g(g(g(1))), g(y0))) F(g(g(g(y0))), g(g(g(g(g(y1))))), g(y2)) -> c2(F(g(g(g(y0))), g(g(g(g(y1)))), g(y2))) F(g(g(g(0))), g(g(g(g(1)))), g(y0)) -> c2(F(g(g(g(0))), g(g(g(1))), g(y0))) F(g(g(g(y0))), g(g(g(g(y1)))), g(g(y2))) -> c2(F(g(g(g(y0))), g(g(g(y1))), g(g(y2)))) F(g(g(g(g(g(y0))))), g(g(g(g(y1)))), g(y2)) -> c2(F(g(g(g(g(g(y0))))), g(g(g(y1))), g(y2))) F(g(g(g(g(y0)))), g(g(g(g(g(y1))))), g(y2)) -> c2(F(g(g(g(g(y0)))), g(g(g(g(y1)))), g(y2))) F(g(g(g(g(0)))), g(g(g(g(1)))), g(y0)) -> c2(F(g(g(g(g(0)))), g(g(g(1))), g(y0))) F(g(g(g(g(y0)))), g(g(g(g(y1)))), g(g(y2))) -> c2(F(g(g(g(g(y0)))), g(g(g(y1))), g(g(y2)))) F(g(z0), g(g(g(g(y1)))), z2) -> c2(F(g(z0), g(g(g(y1))), z2)) F(g(0), g(g(g(1))), z2) -> c2(F(g(0), g(g(1)), z2)) F(g(0), g(g(1)), g(g(y0))) -> c2(F(g(0), g(1), g(g(y0)))) F(g(0), g(g(1)), g(g(g(y0)))) -> c2(F(g(0), g(1), g(g(g(y0))))) F(g(z0), g(g(g(g(g(y1))))), g(y2)) -> c2(F(g(z0), g(g(g(g(y1)))), g(y2))) F(g(0), g(g(g(g(1)))), g(y0)) -> c2(F(g(0), g(g(g(1))), g(y0))) F(g(z0), g(g(g(g(y1)))), g(g(y2))) -> c2(F(g(z0), g(g(g(y1))), g(g(y2)))) F(g(g(y0)), g(g(g(g(g(y1))))), z2) -> c2(F(g(g(y0)), g(g(g(g(y1)))), z2)) F(g(g(0)), g(g(g(g(1)))), z2) -> c2(F(g(g(0)), g(g(g(1))), z2)) F(g(g(g(g(y0)))), g(g(g(g(y1)))), z2) -> c2(F(g(g(g(g(y0)))), g(g(g(y1))), z2)) F(g(g(g(y0))), g(g(g(g(g(y1))))), z2) -> c2(F(g(g(g(y0))), g(g(g(g(y1)))), z2)) F(g(g(g(0))), g(g(g(g(1)))), z2) -> c2(F(g(g(g(0))), g(g(g(1))), z2)) F(g(g(0)), g(g(g(1))), g(g(y0))) -> c2(F(g(g(0)), g(g(1)), g(g(y0)))) F(g(g(0)), g(g(g(1))), g(g(g(y0)))) -> c2(F(g(g(0)), g(g(1)), g(g(g(y0))))) F(g(g(y0)), g(g(g(g(g(g(y1)))))), g(y2)) -> c2(F(g(g(y0)), g(g(g(g(g(y1))))), g(y2))) F(g(g(y0)), g(g(g(g(g(y1))))), g(g(y2))) -> c2(F(g(g(y0)), g(g(g(g(y1)))), g(g(y2)))) F(g(g(0)), g(g(g(g(g(1))))), g(y0)) -> c2(F(g(g(0)), g(g(g(g(1)))), g(y0))) F(g(g(g(y0))), g(g(g(g(g(g(y1)))))), g(y2)) -> c2(F(g(g(g(y0))), g(g(g(g(g(y1))))), g(y2))) F(g(g(g(0))), g(g(g(g(g(1))))), g(y0)) -> c2(F(g(g(g(0))), g(g(g(g(1)))), g(y0))) F(g(g(g(y0))), g(g(g(g(g(y1))))), g(g(y2))) -> c2(F(g(g(g(y0))), g(g(g(g(y1)))), g(g(y2)))) F(g(g(g(g(g(y0))))), g(g(g(g(g(y1))))), g(y2)) -> c2(F(g(g(g(g(g(y0))))), g(g(g(g(y1)))), g(y2))) F(g(g(g(g(y0)))), g(g(g(g(g(g(y1)))))), g(y2)) -> c2(F(g(g(g(g(y0)))), g(g(g(g(g(y1))))), g(y2))) F(g(g(g(g(0)))), g(g(g(g(g(1))))), g(y0)) -> c2(F(g(g(g(g(0)))), g(g(g(g(1)))), g(y0))) F(g(g(g(g(y0)))), g(g(g(g(g(y1))))), g(g(y2))) -> c2(F(g(g(g(g(y0)))), g(g(g(g(y1)))), g(g(y2)))) F(g(0), g(g(g(1))), g(g(y0))) -> c2(F(g(0), g(g(1)), g(g(y0)))) F(g(0), g(g(g(1))), g(g(g(y0)))) -> c2(F(g(0), g(g(1)), g(g(g(y0))))) F(g(z0), g(g(g(g(g(g(y1)))))), g(z2)) -> c2(F(g(z0), g(g(g(g(g(y1))))), g(z2))) F(g(0), g(g(g(g(g(1))))), g(z2)) -> c2(F(g(0), g(g(g(g(1)))), g(z2))) F(g(z0), g(g(g(g(g(y1))))), g(g(y2))) -> c2(F(g(z0), g(g(g(g(y1)))), g(g(y2)))) F(g(g(0)), g(g(g(g(1)))), g(g(y0))) -> c2(F(g(g(0)), g(g(g(1))), g(g(y0)))) F(g(g(0)), g(g(g(g(1)))), g(g(g(y0)))) -> c2(F(g(g(0)), g(g(g(1))), g(g(g(y0))))) F(g(g(y0)), g(g(g(g(g(g(g(y1))))))), g(z2)) -> c2(F(g(g(y0)), g(g(g(g(g(g(y1)))))), g(z2))) F(g(g(y0)), g(g(g(g(g(g(y1)))))), g(g(y2))) -> c2(F(g(g(y0)), g(g(g(g(g(y1))))), g(g(y2)))) F(g(g(0)), g(g(g(g(g(g(1)))))), g(z2)) -> c2(F(g(g(0)), g(g(g(g(g(1))))), g(z2))) F(g(g(g(y0))), g(g(g(g(g(g(g(y1))))))), g(z2)) -> c2(F(g(g(g(y0))), g(g(g(g(g(g(y1)))))), g(z2))) F(g(g(g(0))), g(g(g(g(g(g(1)))))), g(z2)) -> c2(F(g(g(g(0))), g(g(g(g(g(1))))), g(z2))) F(g(g(g(y0))), g(g(g(g(g(g(y1)))))), g(g(y2))) -> c2(F(g(g(g(y0))), g(g(g(g(g(y1))))), g(g(y2)))) F(g(g(g(g(g(y0))))), g(g(g(g(g(g(y1)))))), g(z2)) -> c2(F(g(g(g(g(g(y0))))), g(g(g(g(g(y1))))), g(z2))) F(g(g(g(g(y0)))), g(g(g(g(g(g(g(y1))))))), g(z2)) -> c2(F(g(g(g(g(y0)))), g(g(g(g(g(g(y1)))))), g(z2))) F(g(g(g(g(0)))), g(g(g(g(g(g(1)))))), g(z2)) -> c2(F(g(g(g(g(0)))), g(g(g(g(g(1))))), g(z2))) F(g(g(g(g(y0)))), g(g(g(g(g(g(y1)))))), g(g(y2))) -> c2(F(g(g(g(g(y0)))), g(g(g(g(g(y1))))), g(g(y2)))) K tuples: F(z0, g(g(y1)), g(z2)) -> c3(F(z0, g(g(y1)), z2)) F(z0, g(y1), g(g(y2))) -> c3(F(z0, g(y1), g(y2))) F(g(0), g(1), g(z2)) -> c3(F(g(0), g(1), z2)) F(g(g(y0)), g(y1), g(z2)) -> c3(F(g(g(y0)), g(y1), z2)) F(g(y0), g(g(y1)), g(z2)) -> c3(F(g(y0), g(g(y1)), z2)) F(g(y0), g(y1), g(g(y2))) -> c3(F(g(y0), g(y1), g(y2))) F(0, 1, g(g(y0))) -> c3(F(0, 1, g(y0))) F(0, 1, g(g(g(y2)))) -> c3(F(0, 1, g(g(y2)))) F(0, 1, g(g(g(g(y0))))) -> c3(F(0, 1, g(g(g(y0))))) F(z0, z1, g(g(g(y2)))) -> c3(F(z0, z1, g(g(y2)))) F(g(0), 1, g(g(z2))) -> c3(F(g(0), 1, g(z2))) F(g(g(y0)), z1, g(g(z2))) -> c3(F(g(g(y0)), z1, g(z2))) F(g(y0), z1, g(g(g(y2)))) -> c3(F(g(y0), z1, g(g(y2)))) F(0, g(1), g(g(z2))) -> c3(F(0, g(1), g(z2))) F(z0, g(g(y1)), g(g(z2))) -> c3(F(z0, g(g(y1)), g(z2))) F(z0, g(y1), g(g(g(y2)))) -> c3(F(z0, g(y1), g(g(y2)))) F(g(0), g(1), g(g(z2))) -> c3(F(g(0), g(1), g(z2))) F(g(g(y0)), g(y1), g(g(z2))) -> c3(F(g(g(y0)), g(y1), g(z2))) F(g(y0), g(g(y1)), g(g(z2))) -> c3(F(g(y0), g(g(y1)), g(z2))) F(g(y0), g(y1), g(g(g(y2)))) -> c3(F(g(y0), g(y1), g(g(y2)))) F(g(g(0)), 1, g(g(z2))) -> c3(F(g(g(0)), 1, g(z2))) F(g(g(g(y0))), z1, g(g(z2))) -> c3(F(g(g(g(y0))), z1, g(z2))) F(g(g(y0)), g(g(y1)), g(g(z2))) -> c3(F(g(g(y0)), g(g(y1)), g(z2))) F(g(g(0)), g(1), g(g(z2))) -> c3(F(g(g(0)), g(1), g(z2))) F(g(g(g(y0))), g(y1), g(g(z2))) -> c3(F(g(g(g(y0))), g(y1), g(z2))) F(g(g(y0)), z1, g(g(g(y2)))) -> c3(F(g(g(y0)), z1, g(g(y2)))) F(g(g(y0)), g(y1), g(g(g(y2)))) -> c3(F(g(g(y0)), g(y1), g(g(y2)))) F(g(g(g(g(y0)))), g(y1), g(g(z2))) -> c3(F(g(g(g(g(y0)))), g(y1), g(z2))) F(g(g(g(y0))), g(g(y1)), g(g(z2))) -> c3(F(g(g(g(y0))), g(g(y1)), g(z2))) F(g(g(g(0))), g(1), g(g(z2))) -> c3(F(g(g(g(0))), g(1), g(z2))) F(g(g(g(y0))), g(y1), g(g(g(y2)))) -> c3(F(g(g(g(y0))), g(y1), g(g(y2)))) F(g(0), 1, g(g(g(y0)))) -> c3(F(g(0), 1, g(g(y0)))) F(g(0), 1, g(g(g(g(y0))))) -> c3(F(g(0), 1, g(g(g(y0))))) F(g(g(g(0))), 1, g(g(z2))) -> c3(F(g(g(g(0))), 1, g(z2))) F(g(g(g(g(y0)))), z1, g(g(z2))) -> c3(F(g(g(g(g(y0)))), z1, g(z2))) F(g(g(g(y0))), z1, g(g(g(y2)))) -> c3(F(g(g(g(y0))), z1, g(g(y2)))) F(g(g(g(g(g(y0))))), g(y1), g(g(z2))) -> c3(F(g(g(g(g(g(y0))))), g(y1), g(z2))) F(g(g(g(g(y0)))), g(g(y1)), g(g(z2))) -> c3(F(g(g(g(g(y0)))), g(g(y1)), g(z2))) F(g(g(g(g(0)))), g(1), g(g(z2))) -> c3(F(g(g(g(g(0)))), g(1), g(z2))) F(g(g(g(g(y0)))), g(y1), g(g(g(y2)))) -> c3(F(g(g(g(g(y0)))), g(y1), g(g(y2)))) F(g(g(0)), 1, g(g(g(y0)))) -> c3(F(g(g(0)), 1, g(g(y0)))) F(g(g(0)), 1, g(g(g(g(y0))))) -> c3(F(g(g(0)), 1, g(g(g(y0))))) F(0, g(1), g(g(g(y0)))) -> c3(F(0, g(1), g(g(y0)))) F(0, g(1), g(g(g(g(y0))))) -> c3(F(0, g(1), g(g(g(y0))))) F(z0, g(g(g(y1))), g(g(z2))) -> c3(F(z0, g(g(g(y1))), g(z2))) F(g(0), g(g(1)), g(g(z2))) -> c3(F(g(0), g(g(1)), g(z2))) F(g(y0), g(g(g(y1))), g(g(z2))) -> c3(F(g(y0), g(g(g(y1))), g(z2))) F(z0, g(g(y1)), g(g(g(y2)))) -> c3(F(z0, g(g(y1)), g(g(y2)))) F(g(y0), g(g(y1)), g(g(g(y2)))) -> c3(F(g(y0), g(g(y1)), g(g(y2)))) F(0, g(g(1)), g(g(z2))) -> c3(F(0, g(g(1)), g(z2))) F(g(g(y0)), g(g(g(y1))), g(g(z2))) -> c3(F(g(g(y0)), g(g(g(y1))), g(z2))) F(g(g(0)), g(g(1)), g(g(z2))) -> c3(F(g(g(0)), g(g(1)), g(z2))) F(g(g(y0)), g(g(y1)), g(g(g(y2)))) -> c3(F(g(g(y0)), g(g(y1)), g(g(y2)))) F(g(g(g(y0))), g(g(g(y1))), g(g(z2))) -> c3(F(g(g(g(y0))), g(g(g(y1))), g(z2))) F(g(g(g(0))), g(g(1)), g(g(z2))) -> c3(F(g(g(g(0))), g(g(1)), g(z2))) F(g(g(g(y0))), g(g(y1)), g(g(g(y2)))) -> c3(F(g(g(g(y0))), g(g(y1)), g(g(y2)))) F(g(g(g(g(g(y0))))), g(g(y1)), g(g(z2))) -> c3(F(g(g(g(g(g(y0))))), g(g(y1)), g(z2))) F(g(g(g(g(y0)))), g(g(g(y1))), g(g(z2))) -> c3(F(g(g(g(g(y0)))), g(g(g(y1))), g(z2))) F(g(g(g(g(0)))), g(g(1)), g(g(z2))) -> c3(F(g(g(g(g(0)))), g(g(1)), g(z2))) F(g(g(g(g(y0)))), g(g(y1)), g(g(g(y2)))) -> c3(F(g(g(g(g(y0)))), g(g(y1)), g(g(y2)))) F(0, g(g(1)), g(g(g(y0)))) -> c3(F(0, g(g(1)), g(g(y0)))) F(0, g(g(1)), g(g(g(g(y0))))) -> c3(F(0, g(g(1)), g(g(g(y0))))) F(g(0), g(1), g(g(g(y0)))) -> c3(F(g(0), g(1), g(g(y0)))) F(g(0), g(1), g(g(g(g(y0))))) -> c3(F(g(0), g(1), g(g(g(y0))))) F(g(g(0)), g(1), g(g(g(y0)))) -> c3(F(g(g(0)), g(1), g(g(y0)))) F(g(g(0)), g(1), g(g(g(g(y0))))) -> c3(F(g(g(0)), g(1), g(g(g(y0))))) F(z0, g(g(g(g(y1)))), g(g(z2))) -> c3(F(z0, g(g(g(g(y1)))), g(z2))) F(g(0), g(g(g(1))), g(g(z2))) -> c3(F(g(0), g(g(g(1))), g(z2))) F(g(y0), g(g(g(g(y1)))), g(g(z2))) -> c3(F(g(y0), g(g(g(g(y1)))), g(z2))) F(z0, g(g(g(y1))), g(g(g(y2)))) -> c3(F(z0, g(g(g(y1))), g(g(y2)))) F(g(y0), g(g(g(y1))), g(g(g(y2)))) -> c3(F(g(y0), g(g(g(y1))), g(g(y2)))) F(0, g(g(g(1))), g(g(z2))) -> c3(F(0, g(g(g(1))), g(z2))) F(g(g(y0)), g(g(g(g(y1)))), g(g(z2))) -> c3(F(g(g(y0)), g(g(g(g(y1)))), g(z2))) F(g(g(0)), g(g(g(1))), g(g(z2))) -> c3(F(g(g(0)), g(g(g(1))), g(z2))) F(g(g(y0)), g(g(g(y1))), g(g(g(y2)))) -> c3(F(g(g(y0)), g(g(g(y1))), g(g(y2)))) F(g(g(g(y0))), g(g(g(g(y1)))), g(g(z2))) -> c3(F(g(g(g(y0))), g(g(g(g(y1)))), g(z2))) F(g(g(g(0))), g(g(g(1))), g(g(z2))) -> c3(F(g(g(g(0))), g(g(g(1))), g(z2))) F(g(g(g(y0))), g(g(g(y1))), g(g(g(y2)))) -> c3(F(g(g(g(y0))), g(g(g(y1))), g(g(y2)))) F(g(g(g(g(g(y0))))), g(g(g(y1))), g(g(z2))) -> c3(F(g(g(g(g(g(y0))))), g(g(g(y1))), g(z2))) F(g(g(g(g(y0)))), g(g(g(g(y1)))), g(g(z2))) -> c3(F(g(g(g(g(y0)))), g(g(g(g(y1)))), g(z2))) F(g(g(g(g(0)))), g(g(g(1))), g(g(z2))) -> c3(F(g(g(g(g(0)))), g(g(g(1))), g(z2))) F(g(g(g(g(y0)))), g(g(g(y1))), g(g(g(y2)))) -> c3(F(g(g(g(g(y0)))), g(g(g(y1))), g(g(y2)))) F(0, g(g(g(1))), g(g(g(y0)))) -> c3(F(0, g(g(g(1))), g(g(y0)))) F(0, g(g(g(1))), g(g(g(g(y0))))) -> c3(F(0, g(g(g(1))), g(g(g(y0))))) F(g(g(0)), g(g(1)), g(g(g(y0)))) -> c3(F(g(g(0)), g(g(1)), g(g(y0)))) F(g(g(0)), g(g(1)), g(g(g(g(y0))))) -> c3(F(g(g(0)), g(g(1)), g(g(g(y0))))) F(g(g(y0)), g(g(g(g(g(y1))))), g(g(z2))) -> c3(F(g(g(y0)), g(g(g(g(g(y1))))), g(z2))) F(g(g(y0)), g(g(g(g(y1)))), g(g(g(y2)))) -> c3(F(g(g(y0)), g(g(g(g(y1)))), g(g(y2)))) F(g(g(0)), g(g(g(g(1)))), g(g(z2))) -> c3(F(g(g(0)), g(g(g(g(1)))), g(z2))) F(g(g(g(y0))), g(g(g(g(g(y1))))), g(g(z2))) -> c3(F(g(g(g(y0))), g(g(g(g(g(y1))))), g(z2))) F(g(g(g(0))), g(g(g(g(1)))), g(g(z2))) -> c3(F(g(g(g(0))), g(g(g(g(1)))), g(z2))) F(g(g(g(y0))), g(g(g(g(y1)))), g(g(g(y2)))) -> c3(F(g(g(g(y0))), g(g(g(g(y1)))), g(g(y2)))) F(g(g(g(g(g(y0))))), g(g(g(g(y1)))), g(g(z2))) -> c3(F(g(g(g(g(g(y0))))), g(g(g(g(y1)))), g(z2))) F(g(g(g(g(y0)))), g(g(g(g(g(y1))))), g(g(z2))) -> c3(F(g(g(g(g(y0)))), g(g(g(g(g(y1))))), g(z2))) F(g(g(g(g(0)))), g(g(g(g(1)))), g(g(z2))) -> c3(F(g(g(g(g(0)))), g(g(g(g(1)))), g(z2))) F(g(g(g(g(y0)))), g(g(g(g(y1)))), g(g(g(y2)))) -> c3(F(g(g(g(g(y0)))), g(g(g(g(y1)))), g(g(y2)))) F(g(0), g(g(1)), g(g(g(y0)))) -> c3(F(g(0), g(g(1)), g(g(y0)))) F(g(0), g(g(1)), g(g(g(g(y0))))) -> c3(F(g(0), g(g(1)), g(g(g(y0))))) F(g(y0), g(g(g(g(g(y1))))), g(g(z2))) -> c3(F(g(y0), g(g(g(g(g(y1))))), g(z2))) F(g(0), g(g(g(g(1)))), g(g(z2))) -> c3(F(g(0), g(g(g(g(1)))), g(z2))) F(g(y0), g(g(g(g(y1)))), g(g(g(y2)))) -> c3(F(g(y0), g(g(g(g(y1)))), g(g(y2)))) F(g(g(0)), g(g(g(1))), g(g(g(y0)))) -> c3(F(g(g(0)), g(g(g(1))), g(g(y0)))) F(g(g(0)), g(g(g(1))), g(g(g(g(y0))))) -> c3(F(g(g(0)), g(g(g(1))), g(g(g(y0))))) F(g(g(y0)), g(g(g(g(g(g(y1)))))), g(g(z2))) -> c3(F(g(g(y0)), g(g(g(g(g(g(y1)))))), g(z2))) F(g(g(y0)), g(g(g(g(g(y1))))), g(g(g(y2)))) -> c3(F(g(g(y0)), g(g(g(g(g(y1))))), g(g(y2)))) F(g(g(0)), g(g(g(g(g(1))))), g(g(z2))) -> c3(F(g(g(0)), g(g(g(g(g(1))))), g(z2))) F(g(g(g(y0))), g(g(g(g(g(g(y1)))))), g(g(z2))) -> c3(F(g(g(g(y0))), g(g(g(g(g(g(y1)))))), g(z2))) F(g(g(g(0))), g(g(g(g(g(1))))), g(g(z2))) -> c3(F(g(g(g(0))), g(g(g(g(g(1))))), g(z2))) F(g(g(g(y0))), g(g(g(g(g(y1))))), g(g(g(y2)))) -> c3(F(g(g(g(y0))), g(g(g(g(g(y1))))), g(g(y2)))) F(g(g(g(g(g(y0))))), g(g(g(g(g(y1))))), g(g(z2))) -> c3(F(g(g(g(g(g(y0))))), g(g(g(g(g(y1))))), g(z2))) F(g(g(g(g(y0)))), g(g(g(g(g(g(y1)))))), g(g(z2))) -> c3(F(g(g(g(g(y0)))), g(g(g(g(g(g(y1)))))), g(z2))) F(g(g(g(g(0)))), g(g(g(g(g(1))))), g(g(z2))) -> c3(F(g(g(g(g(0)))), g(g(g(g(g(1))))), g(z2))) F(g(g(g(g(y0)))), g(g(g(g(g(y1))))), g(g(g(y2)))) -> c3(F(g(g(g(g(y0)))), g(g(g(g(g(y1))))), g(g(y2)))) F(g(0), g(g(g(1))), g(g(g(y0)))) -> c3(F(g(0), g(g(g(1))), g(g(y0)))) F(g(0), g(g(g(1))), g(g(g(g(y0))))) -> c3(F(g(0), g(g(g(1))), g(g(g(y0))))) F(g(y0), g(g(g(g(g(g(y1)))))), g(g(z2))) -> c3(F(g(y0), g(g(g(g(g(g(y1)))))), g(z2))) F(g(0), g(g(g(g(g(1))))), g(g(z2))) -> c3(F(g(0), g(g(g(g(g(1))))), g(z2))) F(g(y0), g(g(g(g(g(y1))))), g(g(g(y2)))) -> c3(F(g(y0), g(g(g(g(g(y1))))), g(g(y2)))) F(g(g(0)), g(g(g(g(1)))), g(g(g(y0)))) -> c3(F(g(g(0)), g(g(g(g(1)))), g(g(y0)))) F(g(g(0)), g(g(g(g(1)))), g(g(g(g(y0))))) -> c3(F(g(g(0)), g(g(g(g(1)))), g(g(g(y0))))) F(g(g(y0)), g(g(g(g(g(g(g(y1))))))), g(g(z2))) -> c3(F(g(g(y0)), g(g(g(g(g(g(g(y1))))))), g(z2))) F(g(g(y0)), g(g(g(g(g(g(y1)))))), g(g(g(y2)))) -> c3(F(g(g(y0)), g(g(g(g(g(g(y1)))))), g(g(y2)))) F(g(g(0)), g(g(g(g(g(g(1)))))), g(g(z2))) -> c3(F(g(g(0)), g(g(g(g(g(g(1)))))), g(z2))) F(g(g(g(y0))), g(g(g(g(g(g(g(y1))))))), g(g(z2))) -> c3(F(g(g(g(y0))), g(g(g(g(g(g(g(y1))))))), g(z2))) F(g(g(g(0))), g(g(g(g(g(g(1)))))), g(g(z2))) -> c3(F(g(g(g(0))), g(g(g(g(g(g(1)))))), g(z2))) F(g(g(g(y0))), g(g(g(g(g(g(y1)))))), g(g(g(y2)))) -> c3(F(g(g(g(y0))), g(g(g(g(g(g(y1)))))), g(g(y2)))) F(g(g(g(g(g(y0))))), g(g(g(g(g(g(y1)))))), g(g(z2))) -> c3(F(g(g(g(g(g(y0))))), g(g(g(g(g(g(y1)))))), g(z2))) F(g(g(g(g(y0)))), g(g(g(g(g(g(g(y1))))))), g(g(z2))) -> c3(F(g(g(g(g(y0)))), g(g(g(g(g(g(g(y1))))))), g(z2))) F(g(g(g(g(0)))), g(g(g(g(g(g(1)))))), g(g(z2))) -> c3(F(g(g(g(g(0)))), g(g(g(g(g(g(1)))))), g(z2))) F(g(g(g(g(y0)))), g(g(g(g(g(g(y1)))))), g(g(g(y2)))) -> c3(F(g(g(g(g(y0)))), g(g(g(g(g(g(y1)))))), g(g(y2)))) F(0, 1, g(g(g(g(g(y0)))))) -> c3(F(0, 1, g(g(g(g(y0)))))) F(g(0), 1, g(g(g(g(g(y0)))))) -> c3(F(g(0), 1, g(g(g(g(y0)))))) F(g(g(0)), 1, g(z2)) -> c3(F(g(g(0)), 1, z2)) F(g(g(g(y0))), z1, g(z2)) -> c3(F(g(g(g(y0))), z1, z2)) F(g(g(z0)), g(g(y1)), g(z2)) -> c3(F(g(g(z0)), g(g(y1)), z2)) F(g(g(0)), g(1), g(z2)) -> c3(F(g(g(0)), g(1), z2)) F(g(g(g(y0))), g(y1), g(z2)) -> c3(F(g(g(g(y0))), g(y1), z2)) F(g(g(g(g(y0)))), g(y1), g(z2)) -> c3(F(g(g(g(g(y0)))), g(y1), z2)) F(g(g(g(y0))), g(g(y1)), g(z2)) -> c3(F(g(g(g(y0))), g(g(y1)), z2)) F(g(g(g(0))), g(1), g(z2)) -> c3(F(g(g(g(0))), g(1), z2)) F(g(g(z0)), g(g(g(y1))), g(z2)) -> c3(F(g(g(z0)), g(g(g(y1))), z2)) F(g(g(0)), g(g(1)), g(z2)) -> c3(F(g(g(0)), g(g(1)), z2)) F(g(g(g(g(y0)))), g(g(y1)), g(z2)) -> c3(F(g(g(g(g(y0)))), g(g(y1)), z2)) F(g(g(g(y0))), g(g(g(y1))), g(z2)) -> c3(F(g(g(g(y0))), g(g(g(y1))), z2)) F(g(g(g(0))), g(g(1)), g(z2)) -> c3(F(g(g(g(0))), g(g(1)), z2)) F(g(g(z0)), g(g(g(g(y1)))), g(z2)) -> c3(F(g(g(z0)), g(g(g(g(y1)))), z2)) F(g(g(0)), g(g(g(1))), g(z2)) -> c3(F(g(g(0)), g(g(g(1))), z2)) F(g(g(g(g(y0)))), g(g(g(y1))), g(z2)) -> c3(F(g(g(g(g(y0)))), g(g(g(y1))), z2)) F(g(g(g(y0))), g(g(g(g(y1)))), g(z2)) -> c3(F(g(g(g(y0))), g(g(g(g(y1)))), z2)) F(g(g(g(0))), g(g(g(1))), g(z2)) -> c3(F(g(g(g(0))), g(g(g(1))), z2)) F(g(g(z0)), g(g(g(g(g(y1))))), g(z2)) -> c3(F(g(g(z0)), g(g(g(g(g(y1))))), z2)) F(g(g(0)), g(g(g(g(1)))), g(z2)) -> c3(F(g(g(0)), g(g(g(g(1)))), z2)) F(g(g(g(g(y0)))), g(g(g(g(y1)))), g(z2)) -> c3(F(g(g(g(g(y0)))), g(g(g(g(y1)))), z2)) F(g(g(g(y0))), g(g(g(g(g(y1))))), g(z2)) -> c3(F(g(g(g(y0))), g(g(g(g(g(y1))))), z2)) F(g(g(g(0))), g(g(g(g(1)))), g(z2)) -> c3(F(g(g(g(0))), g(g(g(g(1)))), z2)) F(g(g(z0)), z1, g(g(g(g(y2))))) -> c3(F(g(g(z0)), z1, g(g(g(y2))))) F(g(g(z0)), g(y1), g(g(g(g(y2))))) -> c3(F(g(g(z0)), g(y1), g(g(g(y2))))) F(g(g(g(0))), g(1), g(g(g(y0)))) -> c3(F(g(g(g(0))), g(1), g(g(y0)))) F(g(g(g(y0))), g(y1), g(g(g(g(y2))))) -> c3(F(g(g(g(y0))), g(y1), g(g(g(y2))))) F(g(g(g(0))), 1, g(g(g(y0)))) -> c3(F(g(g(g(0))), 1, g(g(y0)))) F(g(g(g(g(y0)))), z1, g(g(g(y2)))) -> c3(F(g(g(g(g(y0)))), z1, g(g(y2)))) F(g(g(g(y0))), z1, g(g(g(g(y2))))) -> c3(F(g(g(g(y0))), z1, g(g(g(y2))))) F(g(g(g(g(g(y0))))), g(y1), g(g(g(y2)))) -> c3(F(g(g(g(g(g(y0))))), g(y1), g(g(y2)))) F(g(g(g(g(0)))), g(1), g(g(g(y0)))) -> c3(F(g(g(g(g(0)))), g(1), g(g(y0)))) F(g(g(g(g(y0)))), g(y1), g(g(g(g(y2))))) -> c3(F(g(g(g(g(y0)))), g(y1), g(g(g(y2))))) F(g(g(0)), 1, g(g(g(g(g(y0)))))) -> c3(F(g(g(0)), 1, g(g(g(g(y0)))))) F(g(g(z0)), g(g(y1)), g(g(g(g(y2))))) -> c3(F(g(g(z0)), g(g(y1)), g(g(g(y2))))) F(g(g(g(0))), g(g(1)), g(g(g(y0)))) -> c3(F(g(g(g(0))), g(g(1)), g(g(y0)))) F(g(g(g(y0))), g(g(y1)), g(g(g(g(y2))))) -> c3(F(g(g(g(y0))), g(g(y1)), g(g(g(y2))))) F(g(g(g(g(g(y0))))), g(g(y1)), g(g(g(y2)))) -> c3(F(g(g(g(g(g(y0))))), g(g(y1)), g(g(y2)))) F(g(g(g(g(0)))), g(g(1)), g(g(g(y0)))) -> c3(F(g(g(g(g(0)))), g(g(1)), g(g(y0)))) F(g(g(g(g(y0)))), g(g(y1)), g(g(g(g(y2))))) -> c3(F(g(g(g(g(y0)))), g(g(y1)), g(g(g(y2))))) F(g(g(0)), g(1), g(g(g(g(g(y0)))))) -> c3(F(g(g(0)), g(1), g(g(g(g(y0)))))) F(g(g(z0)), g(g(g(y1))), g(g(g(g(y2))))) -> c3(F(g(g(z0)), g(g(g(y1))), g(g(g(y2))))) F(g(g(g(0))), g(g(g(1))), g(g(g(y0)))) -> c3(F(g(g(g(0))), g(g(g(1))), g(g(y0)))) F(g(g(g(y0))), g(g(g(y1))), g(g(g(g(y2))))) -> c3(F(g(g(g(y0))), g(g(g(y1))), g(g(g(y2))))) F(g(g(g(g(g(y0))))), g(g(g(y1))), g(g(g(y2)))) -> c3(F(g(g(g(g(g(y0))))), g(g(g(y1))), g(g(y2)))) F(g(g(g(g(0)))), g(g(g(1))), g(g(g(y0)))) -> c3(F(g(g(g(g(0)))), g(g(g(1))), g(g(y0)))) F(g(g(g(g(y0)))), g(g(g(y1))), g(g(g(g(y2))))) -> c3(F(g(g(g(g(y0)))), g(g(g(y1))), g(g(g(y2))))) F(g(g(0)), g(g(1)), g(g(g(g(g(y0)))))) -> c3(F(g(g(0)), g(g(1)), g(g(g(g(y0)))))) F(g(g(z0)), g(g(g(g(y1)))), g(g(g(g(y2))))) -> c3(F(g(g(z0)), g(g(g(g(y1)))), g(g(g(y2))))) F(g(g(g(0))), g(g(g(g(1)))), g(g(g(y0)))) -> c3(F(g(g(g(0))), g(g(g(g(1)))), g(g(y0)))) F(g(g(g(y0))), g(g(g(g(y1)))), g(g(g(g(y2))))) -> c3(F(g(g(g(y0))), g(g(g(g(y1)))), g(g(g(y2))))) F(g(g(g(g(g(y0))))), g(g(g(g(y1)))), g(g(g(y2)))) -> c3(F(g(g(g(g(g(y0))))), g(g(g(g(y1)))), g(g(y2)))) F(g(g(g(g(0)))), g(g(g(g(1)))), g(g(g(y0)))) -> c3(F(g(g(g(g(0)))), g(g(g(g(1)))), g(g(y0)))) F(g(g(g(g(y0)))), g(g(g(g(y1)))), g(g(g(g(y2))))) -> c3(F(g(g(g(g(y0)))), g(g(g(g(y1)))), g(g(g(y2))))) F(g(g(0)), g(g(g(1))), g(g(g(g(g(y0)))))) -> c3(F(g(g(0)), g(g(g(1))), g(g(g(g(y0)))))) F(g(g(z0)), g(g(g(g(g(y1))))), g(g(g(g(y2))))) -> c3(F(g(g(z0)), g(g(g(g(g(y1))))), g(g(g(y2))))) F(g(g(0)), g(g(g(g(g(1))))), g(g(g(y0)))) -> c3(F(g(g(0)), g(g(g(g(g(1))))), g(g(y0)))) F(g(g(g(0))), g(g(g(g(g(1))))), g(g(g(y0)))) -> c3(F(g(g(g(0))), g(g(g(g(g(1))))), g(g(y0)))) F(g(g(g(y0))), g(g(g(g(g(y1))))), g(g(g(g(y2))))) -> c3(F(g(g(g(y0))), g(g(g(g(g(y1))))), g(g(g(y2))))) F(g(g(g(g(g(y0))))), g(g(g(g(g(y1))))), g(g(g(y2)))) -> c3(F(g(g(g(g(g(y0))))), g(g(g(g(g(y1))))), g(g(y2)))) F(g(g(g(g(0)))), g(g(g(g(g(1))))), g(g(g(y0)))) -> c3(F(g(g(g(g(0)))), g(g(g(g(g(1))))), g(g(y0)))) F(g(g(g(g(y0)))), g(g(g(g(g(y1))))), g(g(g(g(y2))))) -> c3(F(g(g(g(g(y0)))), g(g(g(g(g(y1))))), g(g(g(y2))))) F(g(g(0)), g(g(g(g(1)))), g(g(g(g(g(y0)))))) -> c3(F(g(g(0)), g(g(g(g(1)))), g(g(g(g(y0)))))) F(g(g(z0)), g(g(g(g(g(g(g(y1))))))), g(g(g(y2)))) -> c3(F(g(g(z0)), g(g(g(g(g(g(g(y1))))))), g(g(y2)))) F(g(g(z0)), g(g(g(g(g(g(y1)))))), g(g(g(g(y2))))) -> c3(F(g(g(z0)), g(g(g(g(g(g(y1)))))), g(g(g(y2))))) F(g(g(0)), g(g(g(g(g(g(1)))))), g(g(g(y0)))) -> c3(F(g(g(0)), g(g(g(g(g(g(1)))))), g(g(y0)))) F(g(g(g(y0))), g(g(g(g(g(g(g(y1))))))), g(g(g(y2)))) -> c3(F(g(g(g(y0))), g(g(g(g(g(g(g(y1))))))), g(g(y2)))) F(g(g(g(0))), g(g(g(g(g(g(1)))))), g(g(g(y0)))) -> c3(F(g(g(g(0))), g(g(g(g(g(g(1)))))), g(g(y0)))) F(g(g(g(y0))), g(g(g(g(g(g(y1)))))), g(g(g(g(y2))))) -> c3(F(g(g(g(y0))), g(g(g(g(g(g(y1)))))), g(g(g(y2))))) F(g(g(g(g(g(y0))))), g(g(g(g(g(g(y1)))))), g(g(g(y2)))) -> c3(F(g(g(g(g(g(y0))))), g(g(g(g(g(g(y1)))))), g(g(y2)))) F(g(g(g(g(y0)))), g(g(g(g(g(g(g(y1))))))), g(g(g(y2)))) -> c3(F(g(g(g(g(y0)))), g(g(g(g(g(g(g(y1))))))), g(g(y2)))) F(g(g(g(g(0)))), g(g(g(g(g(g(1)))))), g(g(g(y0)))) -> c3(F(g(g(g(g(0)))), g(g(g(g(g(g(1)))))), g(g(y0)))) F(g(g(g(g(y0)))), g(g(g(g(g(g(y1)))))), g(g(g(g(y2))))) -> c3(F(g(g(g(g(y0)))), g(g(g(g(g(g(y1)))))), g(g(g(y2))))) F(g(z0), g(g(g(y1))), g(z2)) -> c3(F(g(z0), g(g(g(y1))), z2)) F(g(0), g(g(1)), g(z2)) -> c3(F(g(0), g(g(1)), z2)) F(g(z0), g(g(g(g(y1)))), g(z2)) -> c3(F(g(z0), g(g(g(g(y1)))), z2)) F(g(0), g(g(g(1))), g(z2)) -> c3(F(g(0), g(g(g(1))), z2)) F(g(z0), g(z1), g(g(g(g(y2))))) -> c3(F(g(z0), g(z1), g(g(g(y2))))) F(g(z0), g(g(y1)), g(g(g(g(y2))))) -> c3(F(g(z0), g(g(y1)), g(g(g(y2))))) F(g(0), g(1), g(g(g(g(g(y0)))))) -> c3(F(g(0), g(1), g(g(g(g(y0)))))) F(g(z0), g(g(g(y1))), g(g(g(g(y2))))) -> c3(F(g(z0), g(g(g(y1))), g(g(g(y2))))) F(g(0), g(g(1)), g(g(g(g(g(y0)))))) -> c3(F(g(0), g(g(1)), g(g(g(g(y0)))))) F(g(0), g(g(g(g(1)))), g(g(g(y0)))) -> c3(F(g(0), g(g(g(g(1)))), g(g(y0)))) F(g(z0), g(g(g(g(y1)))), g(g(g(g(y2))))) -> c3(F(g(z0), g(g(g(g(y1)))), g(g(g(y2))))) F(g(0), g(g(g(1))), g(g(g(g(g(y0)))))) -> c3(F(g(0), g(g(g(1))), g(g(g(g(y0)))))) F(g(z0), g(g(g(g(g(g(y1)))))), g(g(g(y2)))) -> c3(F(g(z0), g(g(g(g(g(g(y1)))))), g(g(y2)))) F(g(0), g(g(g(g(g(1))))), g(g(g(y0)))) -> c3(F(g(0), g(g(g(g(g(1))))), g(g(y0)))) F(g(z0), g(g(g(g(g(y1))))), g(g(g(g(y2))))) -> c3(F(g(z0), g(g(g(g(g(y1))))), g(g(g(y2))))) F(g(g(y0)), g(z1), g(g(g(g(g(y2)))))) -> c3(F(g(g(y0)), g(z1), g(g(g(g(y2)))))) F(g(g(g(0))), g(1), g(g(g(g(y0))))) -> c3(F(g(g(g(0))), g(1), g(g(g(y0))))) F(g(g(g(y0))), g(z1), g(g(g(g(g(y2)))))) -> c3(F(g(g(g(y0))), g(z1), g(g(g(g(y2)))))) F(g(g(g(g(g(y0))))), g(z1), g(g(g(g(y2))))) -> c3(F(g(g(g(g(g(y0))))), g(z1), g(g(g(y2))))) F(g(g(g(g(0)))), g(1), g(g(g(g(y0))))) -> c3(F(g(g(g(g(0)))), g(1), g(g(g(y0))))) F(g(g(g(g(y0)))), g(z1), g(g(g(g(g(y2)))))) -> c3(F(g(g(g(g(y0)))), g(z1), g(g(g(g(y2)))))) F(g(g(y0)), g(g(y1)), g(g(g(g(g(y2)))))) -> c3(F(g(g(y0)), g(g(y1)), g(g(g(g(y2)))))) F(g(g(g(0))), g(g(1)), g(g(g(g(y0))))) -> c3(F(g(g(g(0))), g(g(1)), g(g(g(y0))))) F(g(g(g(y0))), g(g(y1)), g(g(g(g(g(y2)))))) -> c3(F(g(g(g(y0))), g(g(y1)), g(g(g(g(y2)))))) F(g(g(g(g(g(y0))))), g(g(y1)), g(g(g(g(y2))))) -> c3(F(g(g(g(g(g(y0))))), g(g(y1)), g(g(g(y2))))) F(g(g(g(g(0)))), g(g(1)), g(g(g(g(y0))))) -> c3(F(g(g(g(g(0)))), g(g(1)), g(g(g(y0))))) F(g(g(g(g(y0)))), g(g(y1)), g(g(g(g(g(y2)))))) -> c3(F(g(g(g(g(y0)))), g(g(y1)), g(g(g(g(y2)))))) F(g(g(0)), g(1), g(g(g(g(g(g(y0))))))) -> c3(F(g(g(0)), g(1), g(g(g(g(g(y0))))))) F(g(g(y0)), g(g(g(y1))), g(g(g(g(g(y2)))))) -> c3(F(g(g(y0)), g(g(g(y1))), g(g(g(g(y2)))))) F(g(g(g(0))), g(g(g(1))), g(g(g(g(y0))))) -> c3(F(g(g(g(0))), g(g(g(1))), g(g(g(y0))))) F(g(g(g(y0))), g(g(g(y1))), g(g(g(g(g(y2)))))) -> c3(F(g(g(g(y0))), g(g(g(y1))), g(g(g(g(y2)))))) F(g(g(g(g(g(y0))))), g(g(g(y1))), g(g(g(g(y2))))) -> c3(F(g(g(g(g(g(y0))))), g(g(g(y1))), g(g(g(y2))))) F(g(g(g(g(0)))), g(g(g(1))), g(g(g(g(y0))))) -> c3(F(g(g(g(g(0)))), g(g(g(1))), g(g(g(y0))))) F(g(g(g(g(y0)))), g(g(g(y1))), g(g(g(g(g(y2)))))) -> c3(F(g(g(g(g(y0)))), g(g(g(y1))), g(g(g(g(y2)))))) F(g(g(0)), g(g(1)), g(g(g(g(g(g(y0))))))) -> c3(F(g(g(0)), g(g(1)), g(g(g(g(g(y0))))))) F(g(g(y0)), g(g(g(g(y1)))), g(g(g(g(g(y2)))))) -> c3(F(g(g(y0)), g(g(g(g(y1)))), g(g(g(g(y2)))))) F(g(g(g(0))), g(g(g(g(1)))), g(g(g(g(y0))))) -> c3(F(g(g(g(0))), g(g(g(g(1)))), g(g(g(y0))))) F(g(g(g(y0))), g(g(g(g(y1)))), g(g(g(g(g(y2)))))) -> c3(F(g(g(g(y0))), g(g(g(g(y1)))), g(g(g(g(y2)))))) F(g(g(g(g(g(y0))))), g(g(g(g(y1)))), g(g(g(g(y2))))) -> c3(F(g(g(g(g(g(y0))))), g(g(g(g(y1)))), g(g(g(y2))))) F(g(g(g(g(0)))), g(g(g(g(1)))), g(g(g(g(y0))))) -> c3(F(g(g(g(g(0)))), g(g(g(g(1)))), g(g(g(y0))))) F(g(g(g(g(y0)))), g(g(g(g(y1)))), g(g(g(g(g(y2)))))) -> c3(F(g(g(g(g(y0)))), g(g(g(g(y1)))), g(g(g(g(y2)))))) F(g(g(0)), g(g(g(1))), g(g(g(g(g(g(y0))))))) -> c3(F(g(g(0)), g(g(g(1))), g(g(g(g(g(y0))))))) F(g(g(y0)), g(g(g(g(g(y1))))), g(g(g(g(g(y2)))))) -> c3(F(g(g(y0)), g(g(g(g(g(y1))))), g(g(g(g(y2)))))) F(g(g(0)), g(g(g(g(g(1))))), g(g(g(g(y0))))) -> c3(F(g(g(0)), g(g(g(g(g(1))))), g(g(g(y0))))) F(g(g(g(0))), g(g(g(g(g(1))))), g(g(g(g(y0))))) -> c3(F(g(g(g(0))), g(g(g(g(g(1))))), g(g(g(y0))))) F(g(g(g(y0))), g(g(g(g(g(y1))))), g(g(g(g(g(y2)))))) -> c3(F(g(g(g(y0))), g(g(g(g(g(y1))))), g(g(g(g(y2)))))) F(g(g(g(g(g(y0))))), g(g(g(g(g(y1))))), g(g(g(g(y2))))) -> c3(F(g(g(g(g(g(y0))))), g(g(g(g(g(y1))))), g(g(g(y2))))) F(g(g(g(g(0)))), g(g(g(g(g(1))))), g(g(g(g(y0))))) -> c3(F(g(g(g(g(0)))), g(g(g(g(g(1))))), g(g(g(y0))))) F(g(g(g(g(y0)))), g(g(g(g(g(y1))))), g(g(g(g(g(y2)))))) -> c3(F(g(g(g(g(y0)))), g(g(g(g(g(y1))))), g(g(g(g(y2)))))) F(g(g(0)), g(g(g(g(1)))), g(g(g(g(g(g(y0))))))) -> c3(F(g(g(0)), g(g(g(g(1)))), g(g(g(g(g(y0))))))) F(g(g(y0)), g(g(g(g(g(g(g(y1))))))), g(g(g(g(y2))))) -> c3(F(g(g(y0)), g(g(g(g(g(g(g(y1))))))), g(g(g(y2))))) F(g(g(y0)), g(g(g(g(g(g(y1)))))), g(g(g(g(g(y2)))))) -> c3(F(g(g(y0)), g(g(g(g(g(g(y1)))))), g(g(g(g(y2)))))) F(g(g(0)), g(g(g(g(g(g(1)))))), g(g(g(g(y0))))) -> c3(F(g(g(0)), g(g(g(g(g(g(1)))))), g(g(g(y0))))) F(g(g(g(y0))), g(g(g(g(g(g(g(y1))))))), g(g(g(g(y2))))) -> c3(F(g(g(g(y0))), g(g(g(g(g(g(g(y1))))))), g(g(g(y2))))) F(g(g(g(0))), g(g(g(g(g(g(1)))))), g(g(g(g(y0))))) -> c3(F(g(g(g(0))), g(g(g(g(g(g(1)))))), g(g(g(y0))))) F(g(g(g(y0))), g(g(g(g(g(g(y1)))))), g(g(g(g(g(y2)))))) -> c3(F(g(g(g(y0))), g(g(g(g(g(g(y1)))))), g(g(g(g(y2)))))) F(g(g(g(g(g(y0))))), g(g(g(g(g(g(y1)))))), g(g(g(g(y2))))) -> c3(F(g(g(g(g(g(y0))))), g(g(g(g(g(g(y1)))))), g(g(g(y2))))) F(g(g(g(g(y0)))), g(g(g(g(g(g(g(y1))))))), g(g(g(g(y2))))) -> c3(F(g(g(g(g(y0)))), g(g(g(g(g(g(g(y1))))))), g(g(g(y2))))) F(g(g(g(g(0)))), g(g(g(g(g(g(1)))))), g(g(g(g(y0))))) -> c3(F(g(g(g(g(0)))), g(g(g(g(g(g(1)))))), g(g(g(y0))))) F(g(g(g(g(y0)))), g(g(g(g(g(g(y1)))))), g(g(g(g(g(y2)))))) -> c3(F(g(g(g(g(y0)))), g(g(g(g(g(g(y1)))))), g(g(g(g(y2)))))) F(g(z0), z1, g(g(g(g(y2))))) -> c3(F(g(z0), z1, g(g(g(y2))))) F(g(0), 1, g(g(g(g(g(g(y0))))))) -> c3(F(g(0), 1, g(g(g(g(g(y0))))))) F(g(g(y0)), z1, g(g(g(g(g(y2)))))) -> c3(F(g(g(y0)), z1, g(g(g(g(y2)))))) F(g(g(g(0))), 1, g(g(g(g(y0))))) -> c3(F(g(g(g(0))), 1, g(g(g(y0))))) F(g(g(g(g(y0)))), z1, g(g(g(g(y2))))) -> c3(F(g(g(g(g(y0)))), z1, g(g(g(y2))))) F(g(g(g(y0))), z1, g(g(g(g(g(y2)))))) -> c3(F(g(g(g(y0))), z1, g(g(g(g(y2)))))) F(g(g(0)), 1, g(g(g(g(g(g(y0))))))) -> c3(F(g(g(0)), 1, g(g(g(g(g(y0))))))) F(g(z0), g(y1), g(g(g(g(g(y2)))))) -> c3(F(g(z0), g(y1), g(g(g(g(y2)))))) F(g(z0), g(g(y1)), g(g(g(g(g(y2)))))) -> c3(F(g(z0), g(g(y1)), g(g(g(g(y2)))))) F(g(0), g(1), g(g(g(g(g(g(y0))))))) -> c3(F(g(0), g(1), g(g(g(g(g(y0))))))) F(g(z0), g(g(g(y1))), g(g(g(g(g(y2)))))) -> c3(F(g(z0), g(g(g(y1))), g(g(g(g(y2)))))) F(g(0), g(g(1)), g(g(g(g(g(g(y0))))))) -> c3(F(g(0), g(g(1)), g(g(g(g(g(y0))))))) F(g(0), g(g(g(g(1)))), g(g(g(g(y0))))) -> c3(F(g(0), g(g(g(g(1)))), g(g(g(y0))))) F(g(z0), g(g(g(g(y1)))), g(g(g(g(g(y2)))))) -> c3(F(g(z0), g(g(g(g(y1)))), g(g(g(g(y2)))))) F(g(0), g(g(g(1))), g(g(g(g(g(g(y0))))))) -> c3(F(g(0), g(g(g(1))), g(g(g(g(g(y0))))))) F(g(z0), g(g(g(g(g(g(y1)))))), g(g(g(g(y2))))) -> c3(F(g(z0), g(g(g(g(g(g(y1)))))), g(g(g(y2))))) F(g(0), g(g(g(g(g(1))))), g(g(g(g(y0))))) -> c3(F(g(0), g(g(g(g(g(1))))), g(g(g(y0))))) F(g(z0), g(g(g(g(g(y1))))), g(g(g(g(g(y2)))))) -> c3(F(g(z0), g(g(g(g(g(y1))))), g(g(g(g(y2)))))) F(g(g(y0)), g(y1), g(g(g(g(g(g(y2))))))) -> c3(F(g(g(y0)), g(y1), g(g(g(g(g(y2))))))) F(g(g(g(0))), g(1), g(g(g(g(g(y0)))))) -> c3(F(g(g(g(0))), g(1), g(g(g(g(y0)))))) F(g(g(g(y0))), g(y1), g(g(g(g(g(g(y2))))))) -> c3(F(g(g(g(y0))), g(y1), g(g(g(g(g(y2))))))) F(g(g(g(g(g(y0))))), g(y1), g(g(g(g(g(y2)))))) -> c3(F(g(g(g(g(g(y0))))), g(y1), g(g(g(g(y2)))))) F(g(g(g(g(0)))), g(1), g(g(g(g(g(y0)))))) -> c3(F(g(g(g(g(0)))), g(1), g(g(g(g(y0)))))) F(g(g(g(g(y0)))), g(y1), g(g(g(g(g(g(y2))))))) -> c3(F(g(g(g(g(y0)))), g(y1), g(g(g(g(g(y2))))))) F(g(g(y0)), g(g(y1)), g(g(g(g(g(g(y2))))))) -> c3(F(g(g(y0)), g(g(y1)), g(g(g(g(g(y2))))))) F(g(g(g(0))), g(g(1)), g(g(g(g(g(y0)))))) -> c3(F(g(g(g(0))), g(g(1)), g(g(g(g(y0)))))) F(g(g(g(y0))), g(g(y1)), g(g(g(g(g(g(y2))))))) -> c3(F(g(g(g(y0))), g(g(y1)), g(g(g(g(g(y2))))))) F(g(g(g(g(g(y0))))), g(g(y1)), g(g(g(g(g(y2)))))) -> c3(F(g(g(g(g(g(y0))))), g(g(y1)), g(g(g(g(y2)))))) F(g(g(g(g(0)))), g(g(1)), g(g(g(g(g(y0)))))) -> c3(F(g(g(g(g(0)))), g(g(1)), g(g(g(g(y0)))))) F(g(g(g(g(y0)))), g(g(y1)), g(g(g(g(g(g(y2))))))) -> c3(F(g(g(g(g(y0)))), g(g(y1)), g(g(g(g(g(y2))))))) F(g(g(0)), g(1), g(g(g(g(g(g(g(y0)))))))) -> c3(F(g(g(0)), g(1), g(g(g(g(g(g(y0)))))))) F(g(g(y0)), g(g(g(y1))), g(g(g(g(g(g(y2))))))) -> c3(F(g(g(y0)), g(g(g(y1))), g(g(g(g(g(y2))))))) F(g(g(g(0))), g(g(g(1))), g(g(g(g(g(y0)))))) -> c3(F(g(g(g(0))), g(g(g(1))), g(g(g(g(y0)))))) F(g(g(g(y0))), g(g(g(y1))), g(g(g(g(g(g(y2))))))) -> c3(F(g(g(g(y0))), g(g(g(y1))), g(g(g(g(g(y2))))))) F(g(g(g(g(g(y0))))), g(g(g(y1))), g(g(g(g(g(y2)))))) -> c3(F(g(g(g(g(g(y0))))), g(g(g(y1))), g(g(g(g(y2)))))) F(g(g(g(g(0)))), g(g(g(1))), g(g(g(g(g(y0)))))) -> c3(F(g(g(g(g(0)))), g(g(g(1))), g(g(g(g(y0)))))) F(g(g(g(g(y0)))), g(g(g(y1))), g(g(g(g(g(g(y2))))))) -> c3(F(g(g(g(g(y0)))), g(g(g(y1))), g(g(g(g(g(y2))))))) F(g(g(0)), g(g(1)), g(g(g(g(g(g(g(y0)))))))) -> c3(F(g(g(0)), g(g(1)), g(g(g(g(g(g(y0)))))))) F(g(g(y0)), g(g(g(g(y1)))), g(g(g(g(g(g(y2))))))) -> c3(F(g(g(y0)), g(g(g(g(y1)))), g(g(g(g(g(y2))))))) F(g(g(g(0))), g(g(g(g(1)))), g(g(g(g(g(y0)))))) -> c3(F(g(g(g(0))), g(g(g(g(1)))), g(g(g(g(y0)))))) F(g(g(g(y0))), g(g(g(g(y1)))), g(g(g(g(g(g(y2))))))) -> c3(F(g(g(g(y0))), g(g(g(g(y1)))), g(g(g(g(g(y2))))))) F(g(g(g(g(g(y0))))), g(g(g(g(y1)))), g(g(g(g(g(y2)))))) -> c3(F(g(g(g(g(g(y0))))), g(g(g(g(y1)))), g(g(g(g(y2)))))) F(g(g(g(g(0)))), g(g(g(g(1)))), g(g(g(g(g(y0)))))) -> c3(F(g(g(g(g(0)))), g(g(g(g(1)))), g(g(g(g(y0)))))) F(g(g(g(g(y0)))), g(g(g(g(y1)))), g(g(g(g(g(g(y2))))))) -> c3(F(g(g(g(g(y0)))), g(g(g(g(y1)))), g(g(g(g(g(y2))))))) F(g(g(0)), g(g(g(1))), g(g(g(g(g(g(g(y0)))))))) -> c3(F(g(g(0)), g(g(g(1))), g(g(g(g(g(g(y0)))))))) F(g(g(y0)), g(g(g(g(g(y1))))), g(g(g(g(g(g(y2))))))) -> c3(F(g(g(y0)), g(g(g(g(g(y1))))), g(g(g(g(g(y2))))))) F(g(g(0)), g(g(g(g(g(1))))), g(g(g(g(g(y0)))))) -> c3(F(g(g(0)), g(g(g(g(g(1))))), g(g(g(g(y0)))))) F(g(g(g(0))), g(g(g(g(g(1))))), g(g(g(g(g(y0)))))) -> c3(F(g(g(g(0))), g(g(g(g(g(1))))), g(g(g(g(y0)))))) F(g(g(g(y0))), g(g(g(g(g(y1))))), g(g(g(g(g(g(y2))))))) -> c3(F(g(g(g(y0))), g(g(g(g(g(y1))))), g(g(g(g(g(y2))))))) F(g(g(g(g(g(y0))))), g(g(g(g(g(y1))))), g(g(g(g(g(y2)))))) -> c3(F(g(g(g(g(g(y0))))), g(g(g(g(g(y1))))), g(g(g(g(y2)))))) F(g(g(g(g(0)))), g(g(g(g(g(1))))), g(g(g(g(g(y0)))))) -> c3(F(g(g(g(g(0)))), g(g(g(g(g(1))))), g(g(g(g(y0)))))) F(g(g(g(g(y0)))), g(g(g(g(g(y1))))), g(g(g(g(g(g(y2))))))) -> c3(F(g(g(g(g(y0)))), g(g(g(g(g(y1))))), g(g(g(g(g(y2))))))) F(g(g(0)), g(g(g(g(1)))), g(g(g(g(g(g(g(y0)))))))) -> c3(F(g(g(0)), g(g(g(g(1)))), g(g(g(g(g(g(y0)))))))) F(g(g(y0)), g(g(g(g(g(g(g(y1))))))), g(g(g(g(g(y2)))))) -> c3(F(g(g(y0)), g(g(g(g(g(g(g(y1))))))), g(g(g(g(y2)))))) F(g(g(y0)), g(g(g(g(g(g(y1)))))), g(g(g(g(g(g(y2))))))) -> c3(F(g(g(y0)), g(g(g(g(g(g(y1)))))), g(g(g(g(g(y2))))))) F(g(g(0)), g(g(g(g(g(g(1)))))), g(g(g(g(g(y0)))))) -> c3(F(g(g(0)), g(g(g(g(g(g(1)))))), g(g(g(g(y0)))))) F(g(g(g(y0))), g(g(g(g(g(g(g(y1))))))), g(g(g(g(g(y2)))))) -> c3(F(g(g(g(y0))), g(g(g(g(g(g(g(y1))))))), g(g(g(g(y2)))))) F(g(g(g(0))), g(g(g(g(g(g(1)))))), g(g(g(g(g(y0)))))) -> c3(F(g(g(g(0))), g(g(g(g(g(g(1)))))), g(g(g(g(y0)))))) F(g(g(g(y0))), g(g(g(g(g(g(y1)))))), g(g(g(g(g(g(y2))))))) -> c3(F(g(g(g(y0))), g(g(g(g(g(g(y1)))))), g(g(g(g(g(y2))))))) F(g(g(g(g(g(y0))))), g(g(g(g(g(g(y1)))))), g(g(g(g(g(y2)))))) -> c3(F(g(g(g(g(g(y0))))), g(g(g(g(g(g(y1)))))), g(g(g(g(y2)))))) F(g(g(g(g(y0)))), g(g(g(g(g(g(g(y1))))))), g(g(g(g(g(y2)))))) -> c3(F(g(g(g(g(y0)))), g(g(g(g(g(g(g(y1))))))), g(g(g(g(y2)))))) F(g(g(g(g(0)))), g(g(g(g(g(g(1)))))), g(g(g(g(g(y0)))))) -> c3(F(g(g(g(g(0)))), g(g(g(g(g(g(1)))))), g(g(g(g(y0)))))) F(g(g(g(g(y0)))), g(g(g(g(g(g(y1)))))), g(g(g(g(g(g(y2))))))) -> c3(F(g(g(g(g(y0)))), g(g(g(g(g(g(y1)))))), g(g(g(g(g(y2))))))) F(0, g(1), g(g(g(g(g(y0)))))) -> c3(F(0, g(1), g(g(g(g(y0)))))) Defined Rule Symbols:none Defined Pair Symbols: F_3 Compound Symbols: c3_1, c1_1, c_1, c2_1 ---------------------------------------- (79) CdtForwardInstantiationProof (BOTH BOUNDS(ID, ID)) Use forward instantiation to replace F(z0, g(g(y1)), g(z2)) -> c3(F(z0, g(g(y1)), z2)) by F(z0, g(g(z1)), g(g(y2))) -> c3(F(z0, g(g(z1)), g(y2))) F(z0, g(g(z1)), g(g(g(y2)))) -> c3(F(z0, g(g(z1)), g(g(y2)))) F(g(g(y0)), g(g(z1)), g(g(y2))) -> c3(F(g(g(y0)), g(g(z1)), g(y2))) F(g(y0), g(g(z1)), g(g(y2))) -> c3(F(g(y0), g(g(z1)), g(y2))) F(g(y0), g(g(z1)), g(g(g(y2)))) -> c3(F(g(y0), g(g(z1)), g(g(y2)))) F(g(g(g(y0))), g(g(z1)), g(z2)) -> c3(F(g(g(g(y0))), g(g(z1)), z2)) F(g(g(y0)), g(g(z1)), g(z2)) -> c3(F(g(g(y0)), g(g(z1)), z2)) F(g(g(y0)), g(g(z1)), g(g(g(y2)))) -> c3(F(g(g(y0)), g(g(z1)), g(g(y2)))) F(g(g(g(y0))), g(g(z1)), g(g(y2))) -> c3(F(g(g(g(y0))), g(g(z1)), g(y2))) F(g(y0), g(g(z1)), g(z2)) -> c3(F(g(y0), g(g(z1)), z2)) F(g(g(g(g(y0)))), g(g(z1)), g(z2)) -> c3(F(g(g(g(g(y0)))), g(g(z1)), z2)) F(g(g(g(y0))), g(g(z1)), g(g(g(y2)))) -> c3(F(g(g(g(y0))), g(g(z1)), g(g(y2)))) F(g(g(g(g(y0)))), g(g(z1)), g(g(y2))) -> c3(F(g(g(g(g(y0)))), g(g(z1)), g(y2))) F(g(g(g(g(g(y0))))), g(g(z1)), g(g(y2))) -> c3(F(g(g(g(g(g(y0))))), g(g(z1)), g(y2))) F(g(g(g(g(y0)))), g(g(z1)), g(g(g(y2)))) -> c3(F(g(g(g(g(y0)))), g(g(z1)), g(g(y2)))) F(z0, g(g(g(y1))), g(z2)) -> c3(F(z0, g(g(g(y1))), z2)) F(g(0), g(g(1)), g(z2)) -> c3(F(g(0), g(g(1)), z2)) F(g(y0), g(g(g(y1))), g(z2)) -> c3(F(g(y0), g(g(g(y1))), z2)) F(0, g(g(1)), g(g(y0))) -> c3(F(0, g(g(1)), g(y0))) F(z0, g(g(g(y1))), g(g(y2))) -> c3(F(z0, g(g(g(y1))), g(y2))) F(g(0), g(g(1)), g(g(y0))) -> c3(F(g(0), g(g(1)), g(y0))) F(g(y0), g(g(g(y1))), g(g(y2))) -> c3(F(g(y0), g(g(g(y1))), g(y2))) F(g(g(y0)), g(g(g(y1))), g(z2)) -> c3(F(g(g(y0)), g(g(g(y1))), z2)) F(g(g(0)), g(g(1)), g(z2)) -> c3(F(g(g(0)), g(g(1)), z2)) F(g(g(y0)), g(g(g(y1))), g(g(y2))) -> c3(F(g(g(y0)), g(g(g(y1))), g(y2))) F(g(g(0)), g(g(1)), g(g(y0))) -> c3(F(g(g(0)), g(g(1)), g(y0))) F(g(g(g(y0))), g(g(g(y1))), g(z2)) -> c3(F(g(g(g(y0))), g(g(g(y1))), z2)) F(g(g(g(0))), g(g(1)), g(z2)) -> c3(F(g(g(g(0))), g(g(1)), z2)) F(g(g(g(y0))), g(g(g(y1))), g(g(y2))) -> c3(F(g(g(g(y0))), g(g(g(y1))), g(y2))) F(g(g(g(0))), g(g(1)), g(g(y0))) -> c3(F(g(g(g(0))), g(g(1)), g(y0))) F(g(g(g(g(y0)))), g(g(g(y1))), g(g(y2))) -> c3(F(g(g(g(g(y0)))), g(g(g(y1))), g(y2))) F(g(g(g(g(0)))), g(g(1)), g(g(y0))) -> c3(F(g(g(g(g(0)))), g(g(1)), g(y0))) F(0, g(g(1)), g(g(g(y0)))) -> c3(F(0, g(g(1)), g(g(y0)))) F(0, g(g(1)), g(g(g(g(y0))))) -> c3(F(0, g(g(1)), g(g(g(y0))))) F(z0, g(g(g(g(y1)))), g(g(y2))) -> c3(F(z0, g(g(g(g(y1)))), g(y2))) F(g(0), g(g(g(1))), g(g(y0))) -> c3(F(g(0), g(g(g(1))), g(y0))) F(g(y0), g(g(g(g(y1)))), g(g(y2))) -> c3(F(g(y0), g(g(g(g(y1)))), g(y2))) F(z0, g(g(g(y1))), g(g(g(y2)))) -> c3(F(z0, g(g(g(y1))), g(g(y2)))) F(g(y0), g(g(g(y1))), g(g(g(y2)))) -> c3(F(g(y0), g(g(g(y1))), g(g(y2)))) F(0, g(g(g(1))), g(g(y0))) -> c3(F(0, g(g(g(1))), g(y0))) F(g(g(y0)), g(g(g(g(y1)))), g(g(y2))) -> c3(F(g(g(y0)), g(g(g(g(y1)))), g(y2))) F(g(g(0)), g(g(g(1))), g(g(y0))) -> c3(F(g(g(0)), g(g(g(1))), g(y0))) F(g(g(y0)), g(g(g(y1))), g(g(g(y2)))) -> c3(F(g(g(y0)), g(g(g(y1))), g(g(y2)))) F(g(g(g(y0))), g(g(g(g(y1)))), g(g(y2))) -> c3(F(g(g(g(y0))), g(g(g(g(y1)))), g(y2))) F(g(g(g(0))), g(g(g(1))), g(g(y0))) -> c3(F(g(g(g(0))), g(g(g(1))), g(y0))) F(g(g(g(y0))), g(g(g(y1))), g(g(g(y2)))) -> c3(F(g(g(g(y0))), g(g(g(y1))), g(g(y2)))) F(g(g(g(g(g(y0))))), g(g(g(y1))), g(g(y2))) -> c3(F(g(g(g(g(g(y0))))), g(g(g(y1))), g(y2))) F(g(g(g(g(y0)))), g(g(g(g(y1)))), g(g(y2))) -> c3(F(g(g(g(g(y0)))), g(g(g(g(y1)))), g(y2))) F(g(g(g(g(0)))), g(g(g(1))), g(g(y0))) -> c3(F(g(g(g(g(0)))), g(g(g(1))), g(y0))) F(g(g(g(g(y0)))), g(g(g(y1))), g(g(g(y2)))) -> c3(F(g(g(g(g(y0)))), g(g(g(y1))), g(g(y2)))) F(0, g(g(g(1))), g(g(g(y0)))) -> c3(F(0, g(g(g(1))), g(g(y0)))) F(0, g(g(g(1))), g(g(g(g(y0))))) -> c3(F(0, g(g(g(1))), g(g(g(y0))))) F(g(g(y0)), g(g(g(g(y1)))), g(z2)) -> c3(F(g(g(y0)), g(g(g(g(y1)))), z2)) F(g(g(0)), g(g(g(1))), g(z2)) -> c3(F(g(g(0)), g(g(g(1))), z2)) F(g(g(g(g(y0)))), g(g(g(y1))), g(z2)) -> c3(F(g(g(g(g(y0)))), g(g(g(y1))), z2)) F(g(g(g(y0))), g(g(g(g(y1)))), g(z2)) -> c3(F(g(g(g(y0))), g(g(g(g(y1)))), z2)) F(g(g(g(0))), g(g(g(1))), g(z2)) -> c3(F(g(g(g(0))), g(g(g(1))), z2)) F(g(g(0)), g(g(1)), g(g(g(y0)))) -> c3(F(g(g(0)), g(g(1)), g(g(y0)))) F(g(g(0)), g(g(1)), g(g(g(g(y0))))) -> c3(F(g(g(0)), g(g(1)), g(g(g(y0))))) F(g(g(y0)), g(g(g(g(g(y1))))), g(g(y2))) -> c3(F(g(g(y0)), g(g(g(g(g(y1))))), g(y2))) F(g(g(y0)), g(g(g(g(y1)))), g(g(g(y2)))) -> c3(F(g(g(y0)), g(g(g(g(y1)))), g(g(y2)))) F(g(g(0)), g(g(g(g(1)))), g(g(y0))) -> c3(F(g(g(0)), g(g(g(g(1)))), g(y0))) F(g(g(g(y0))), g(g(g(g(g(y1))))), g(g(y2))) -> c3(F(g(g(g(y0))), g(g(g(g(g(y1))))), g(y2))) F(g(g(g(0))), g(g(g(g(1)))), g(g(y0))) -> c3(F(g(g(g(0))), g(g(g(g(1)))), g(y0))) F(g(g(g(y0))), g(g(g(g(y1)))), g(g(g(y2)))) -> c3(F(g(g(g(y0))), g(g(g(g(y1)))), g(g(y2)))) F(g(g(g(g(g(y0))))), g(g(g(g(y1)))), g(g(y2))) -> c3(F(g(g(g(g(g(y0))))), g(g(g(g(y1)))), g(y2))) F(g(g(g(g(y0)))), g(g(g(g(g(y1))))), g(g(y2))) -> c3(F(g(g(g(g(y0)))), g(g(g(g(g(y1))))), g(y2))) F(g(g(g(g(0)))), g(g(g(g(1)))), g(g(y0))) -> 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F(g(g(g(y0))), g(g(g(g(g(g(g(y1))))))), g(g(y2))) -> c3(F(g(g(g(y0))), g(g(g(g(g(g(g(y1))))))), g(y2))) F(g(g(g(0))), g(g(g(g(g(g(1)))))), g(g(y0))) -> c3(F(g(g(g(0))), g(g(g(g(g(g(1)))))), g(y0))) F(g(g(g(y0))), g(g(g(g(g(g(y1)))))), g(g(g(y2)))) -> c3(F(g(g(g(y0))), g(g(g(g(g(g(y1)))))), g(g(y2)))) F(g(g(g(g(g(y0))))), g(g(g(g(g(g(y1)))))), g(g(y2))) -> c3(F(g(g(g(g(g(y0))))), g(g(g(g(g(g(y1)))))), g(y2))) F(g(g(g(g(y0)))), g(g(g(g(g(g(g(y1))))))), g(g(y2))) -> c3(F(g(g(g(g(y0)))), g(g(g(g(g(g(g(y1))))))), g(y2))) F(g(g(g(g(0)))), g(g(g(g(g(g(1)))))), g(g(y0))) -> c3(F(g(g(g(g(0)))), g(g(g(g(g(g(1)))))), g(y0))) F(g(g(g(g(y0)))), g(g(g(g(g(g(y1)))))), g(g(g(y2)))) -> c3(F(g(g(g(g(y0)))), g(g(g(g(g(g(y1)))))), g(g(y2)))) F(z0, g(g(z1)), g(g(g(g(y2))))) -> c3(F(z0, g(g(z1)), g(g(g(y2))))) F(g(y0), g(g(z1)), g(g(g(g(y2))))) -> c3(F(g(y0), g(g(z1)), g(g(g(y2))))) F(g(g(y0)), g(g(z1)), g(g(g(g(y2))))) -> c3(F(g(g(y0)), g(g(z1)), g(g(g(y2))))) F(g(g(g(y0))), g(g(z1)), g(g(g(g(y2))))) -> 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F(g(g(g(g(y0)))), g(g(g(g(g(y1))))), g(g(g(g(g(g(y2))))))) -> c3(F(g(g(g(g(y0)))), g(g(g(g(g(y1))))), g(g(g(g(g(y2))))))) F(g(g(0)), g(g(g(g(1)))), g(g(g(g(g(g(g(y0)))))))) -> c3(F(g(g(0)), g(g(g(g(1)))), g(g(g(g(g(g(y0)))))))) F(g(g(y0)), g(g(g(g(g(g(g(y1))))))), g(g(g(g(g(y2)))))) -> c3(F(g(g(y0)), g(g(g(g(g(g(g(y1))))))), g(g(g(g(y2)))))) F(g(g(y0)), g(g(g(g(g(g(y1)))))), g(g(g(g(g(g(y2))))))) -> c3(F(g(g(y0)), g(g(g(g(g(g(y1)))))), g(g(g(g(g(y2))))))) F(g(g(0)), g(g(g(g(g(g(1)))))), g(g(g(g(g(y0)))))) -> c3(F(g(g(0)), g(g(g(g(g(g(1)))))), g(g(g(g(y0)))))) F(g(g(g(y0))), g(g(g(g(g(g(g(y1))))))), g(g(g(g(g(y2)))))) -> c3(F(g(g(g(y0))), g(g(g(g(g(g(g(y1))))))), g(g(g(g(y2)))))) F(g(g(g(0))), g(g(g(g(g(g(1)))))), g(g(g(g(g(y0)))))) -> c3(F(g(g(g(0))), g(g(g(g(g(g(1)))))), g(g(g(g(y0)))))) F(g(g(g(y0))), g(g(g(g(g(g(y1)))))), g(g(g(g(g(g(y2))))))) -> c3(F(g(g(g(y0))), g(g(g(g(g(g(y1)))))), g(g(g(g(g(y2))))))) F(g(g(g(g(g(y0))))), g(g(g(g(g(g(y1)))))), g(g(g(g(g(y2)))))) -> c3(F(g(g(g(g(g(y0))))), g(g(g(g(g(g(y1)))))), g(g(g(g(y2)))))) F(g(g(g(g(y0)))), g(g(g(g(g(g(g(y1))))))), g(g(g(g(g(y2)))))) -> c3(F(g(g(g(g(y0)))), g(g(g(g(g(g(g(y1))))))), g(g(g(g(y2)))))) F(g(g(g(g(0)))), g(g(g(g(g(g(1)))))), g(g(g(g(g(y0)))))) -> c3(F(g(g(g(g(0)))), g(g(g(g(g(g(1)))))), g(g(g(g(y0)))))) F(g(g(g(g(y0)))), g(g(g(g(g(g(y1)))))), g(g(g(g(g(g(y2))))))) -> c3(F(g(g(g(g(y0)))), g(g(g(g(g(g(y1)))))), g(g(g(g(g(y2))))))) F(g(y0), g(g(z1)), g(g(g(g(g(g(y2))))))) -> c3(F(g(y0), g(g(z1)), g(g(g(g(g(y2))))))) F(g(y0), g(g(g(y1))), g(g(g(g(g(g(y2))))))) -> c3(F(g(y0), g(g(g(y1))), g(g(g(g(g(y2))))))) F(g(0), g(g(1)), g(g(g(g(g(g(g(y0)))))))) -> c3(F(g(0), g(g(1)), g(g(g(g(g(g(y0)))))))) F(g(0), g(g(g(g(1)))), g(g(g(g(g(y0)))))) -> c3(F(g(0), g(g(g(g(1)))), g(g(g(g(y0)))))) F(g(y0), g(g(g(g(y1)))), g(g(g(g(g(g(y2))))))) -> c3(F(g(y0), g(g(g(g(y1)))), g(g(g(g(g(y2))))))) F(g(0), g(g(g(1))), g(g(g(g(g(g(g(y0)))))))) -> c3(F(g(0), g(g(g(1))), g(g(g(g(g(g(y0)))))))) F(g(y0), g(g(g(g(g(g(y1)))))), g(g(g(g(g(y2)))))) -> c3(F(g(y0), g(g(g(g(g(g(y1)))))), g(g(g(g(y2)))))) F(g(0), g(g(g(g(g(1))))), g(g(g(g(g(y0)))))) -> c3(F(g(0), g(g(g(g(g(1))))), g(g(g(g(y0)))))) F(g(y0), g(g(g(g(g(y1))))), g(g(g(g(g(g(y2))))))) -> c3(F(g(y0), g(g(g(g(g(y1))))), g(g(g(g(g(y2))))))) F(g(g(y0)), g(g(z1)), g(g(g(g(g(g(g(y2)))))))) -> c3(F(g(g(y0)), g(g(z1)), g(g(g(g(g(g(y2)))))))) F(g(g(g(y0))), g(g(z1)), g(g(g(g(g(g(g(y2)))))))) -> c3(F(g(g(g(y0))), g(g(z1)), g(g(g(g(g(g(y2)))))))) F(g(g(g(g(g(y0))))), g(g(z1)), g(g(g(g(g(g(y2))))))) -> c3(F(g(g(g(g(g(y0))))), g(g(z1)), g(g(g(g(g(y2))))))) F(g(g(g(g(y0)))), g(g(z1)), g(g(g(g(g(g(g(y2)))))))) -> c3(F(g(g(g(g(y0)))), g(g(z1)), g(g(g(g(g(g(y2)))))))) F(g(g(g(0))), g(g(1)), g(g(g(g(g(g(y0))))))) -> c3(F(g(g(g(0))), g(g(1)), g(g(g(g(g(y0))))))) F(g(g(g(g(0)))), g(g(1)), g(g(g(g(g(g(y0))))))) -> c3(F(g(g(g(g(0)))), g(g(1)), g(g(g(g(g(y0))))))) F(g(g(y0)), g(g(g(y1))), g(g(g(g(g(g(g(y2)))))))) -> c3(F(g(g(y0)), g(g(g(y1))), g(g(g(g(g(g(y2)))))))) F(g(g(g(0))), g(g(g(1))), g(g(g(g(g(g(y0))))))) -> c3(F(g(g(g(0))), g(g(g(1))), g(g(g(g(g(y0))))))) F(g(g(g(y0))), g(g(g(y1))), g(g(g(g(g(g(g(y2)))))))) -> c3(F(g(g(g(y0))), g(g(g(y1))), g(g(g(g(g(g(y2)))))))) F(g(g(g(g(g(y0))))), g(g(g(y1))), g(g(g(g(g(g(y2))))))) -> c3(F(g(g(g(g(g(y0))))), g(g(g(y1))), g(g(g(g(g(y2))))))) F(g(g(g(g(0)))), g(g(g(1))), g(g(g(g(g(g(y0))))))) -> c3(F(g(g(g(g(0)))), g(g(g(1))), g(g(g(g(g(y0))))))) F(g(g(g(g(y0)))), g(g(g(y1))), g(g(g(g(g(g(g(y2)))))))) -> c3(F(g(g(g(g(y0)))), g(g(g(y1))), g(g(g(g(g(g(y2)))))))) F(g(g(0)), g(g(1)), g(g(g(g(g(g(g(g(y0))))))))) -> c3(F(g(g(0)), g(g(1)), g(g(g(g(g(g(g(y0))))))))) F(g(g(y0)), g(g(g(g(y1)))), g(g(g(g(g(g(g(y2)))))))) -> c3(F(g(g(y0)), g(g(g(g(y1)))), g(g(g(g(g(g(y2)))))))) F(g(g(g(0))), g(g(g(g(1)))), g(g(g(g(g(g(y0))))))) -> c3(F(g(g(g(0))), g(g(g(g(1)))), g(g(g(g(g(y0))))))) F(g(g(g(y0))), g(g(g(g(y1)))), g(g(g(g(g(g(g(y2)))))))) -> c3(F(g(g(g(y0))), g(g(g(g(y1)))), g(g(g(g(g(g(y2)))))))) F(g(g(g(g(g(y0))))), g(g(g(g(y1)))), g(g(g(g(g(g(y2))))))) -> c3(F(g(g(g(g(g(y0))))), g(g(g(g(y1)))), g(g(g(g(g(y2))))))) F(g(g(g(g(0)))), g(g(g(g(1)))), g(g(g(g(g(g(y0))))))) -> c3(F(g(g(g(g(0)))), g(g(g(g(1)))), g(g(g(g(g(y0))))))) F(g(g(g(g(y0)))), g(g(g(g(y1)))), g(g(g(g(g(g(g(y2)))))))) -> c3(F(g(g(g(g(y0)))), g(g(g(g(y1)))), g(g(g(g(g(g(y2)))))))) F(g(g(0)), g(g(g(1))), g(g(g(g(g(g(g(g(y0))))))))) -> c3(F(g(g(0)), g(g(g(1))), g(g(g(g(g(g(g(y0))))))))) F(g(g(y0)), g(g(g(g(g(y1))))), g(g(g(g(g(g(g(y2)))))))) -> c3(F(g(g(y0)), g(g(g(g(g(y1))))), g(g(g(g(g(g(y2)))))))) F(g(g(0)), g(g(g(g(g(1))))), g(g(g(g(g(g(y0))))))) -> c3(F(g(g(0)), g(g(g(g(g(1))))), g(g(g(g(g(y0))))))) F(g(g(g(0))), g(g(g(g(g(1))))), g(g(g(g(g(g(y0))))))) -> c3(F(g(g(g(0))), g(g(g(g(g(1))))), g(g(g(g(g(y0))))))) F(g(g(g(y0))), g(g(g(g(g(y1))))), g(g(g(g(g(g(g(y2)))))))) -> c3(F(g(g(g(y0))), g(g(g(g(g(y1))))), g(g(g(g(g(g(y2)))))))) F(g(g(g(g(g(y0))))), g(g(g(g(g(y1))))), g(g(g(g(g(g(y2))))))) -> c3(F(g(g(g(g(g(y0))))), g(g(g(g(g(y1))))), g(g(g(g(g(y2))))))) F(g(g(g(g(0)))), g(g(g(g(g(1))))), g(g(g(g(g(g(y0))))))) -> c3(F(g(g(g(g(0)))), g(g(g(g(g(1))))), g(g(g(g(g(y0))))))) F(g(g(g(g(y0)))), g(g(g(g(g(y1))))), g(g(g(g(g(g(g(y2)))))))) -> c3(F(g(g(g(g(y0)))), g(g(g(g(g(y1))))), g(g(g(g(g(g(y2)))))))) F(g(g(0)), g(g(g(g(1)))), g(g(g(g(g(g(g(g(y0))))))))) -> c3(F(g(g(0)), g(g(g(g(1)))), g(g(g(g(g(g(g(y0))))))))) F(g(g(y0)), g(g(g(g(g(g(g(y1))))))), g(g(g(g(g(g(y2))))))) -> c3(F(g(g(y0)), g(g(g(g(g(g(g(y1))))))), g(g(g(g(g(y2))))))) F(g(g(y0)), g(g(g(g(g(g(y1)))))), g(g(g(g(g(g(g(y2)))))))) -> c3(F(g(g(y0)), g(g(g(g(g(g(y1)))))), g(g(g(g(g(g(y2)))))))) F(g(g(0)), g(g(g(g(g(g(1)))))), g(g(g(g(g(g(y0))))))) -> c3(F(g(g(0)), g(g(g(g(g(g(1)))))), g(g(g(g(g(y0))))))) F(g(g(g(y0))), g(g(g(g(g(g(g(y1))))))), g(g(g(g(g(g(y2))))))) -> c3(F(g(g(g(y0))), g(g(g(g(g(g(g(y1))))))), g(g(g(g(g(y2))))))) F(g(g(g(0))), g(g(g(g(g(g(1)))))), g(g(g(g(g(g(y0))))))) -> c3(F(g(g(g(0))), g(g(g(g(g(g(1)))))), g(g(g(g(g(y0))))))) F(g(g(g(y0))), g(g(g(g(g(g(y1)))))), g(g(g(g(g(g(g(y2)))))))) -> c3(F(g(g(g(y0))), g(g(g(g(g(g(y1)))))), g(g(g(g(g(g(y2)))))))) F(g(g(g(g(g(y0))))), g(g(g(g(g(g(y1)))))), g(g(g(g(g(g(y2))))))) -> c3(F(g(g(g(g(g(y0))))), g(g(g(g(g(g(y1)))))), g(g(g(g(g(y2))))))) F(g(g(g(g(y0)))), g(g(g(g(g(g(g(y1))))))), g(g(g(g(g(g(y2))))))) -> c3(F(g(g(g(g(y0)))), g(g(g(g(g(g(g(y1))))))), g(g(g(g(g(y2))))))) F(g(g(g(g(0)))), g(g(g(g(g(g(1)))))), g(g(g(g(g(g(y0))))))) -> c3(F(g(g(g(g(0)))), g(g(g(g(g(g(1)))))), g(g(g(g(g(y0))))))) F(g(g(g(g(y0)))), g(g(g(g(g(g(y1)))))), g(g(g(g(g(g(g(y2)))))))) -> c3(F(g(g(g(g(y0)))), g(g(g(g(g(g(y1)))))), g(g(g(g(g(g(y2)))))))) ---------------------------------------- (80) Obligation: Complexity Dependency Tuples Problem Rules:none Tuples: F(z0, g(y1), g(g(y2))) -> c3(F(z0, g(y1), g(y2))) F(g(0), g(1), g(z2)) -> c3(F(g(0), g(1), z2)) F(g(g(y0)), g(y1), g(z2)) -> c3(F(g(g(y0)), g(y1), z2)) F(g(y0), g(g(y1)), g(z2)) -> c3(F(g(y0), g(g(y1)), z2)) F(g(y0), g(y1), g(g(y2))) -> c3(F(g(y0), g(y1), g(y2))) F(g(g(0)), 1, z2) -> c1(F(g(0), 1, z2)) F(g(g(g(y0))), z1, z2) -> c1(F(g(g(y0)), z1, z2)) F(g(g(z0)), g(y1), z2) -> c1(F(g(z0), g(y1), z2)) F(g(g(z0)), z1, g(y2)) -> c1(F(g(z0), z1, g(y2))) F(g(g(z0)), g(g(y1)), z2) -> c1(F(g(z0), g(g(y1)), z2)) F(g(g(z0)), g(y1), g(y2)) -> c1(F(g(z0), g(y1), g(y2))) F(g(g(0)), g(1), z2) -> c1(F(g(0), g(1), z2)) F(g(g(g(y0))), g(y1), z2) -> c1(F(g(g(y0)), g(y1), z2)) F(g(g(z0)), z1, g(g(y2))) -> c1(F(g(z0), z1, g(g(y2)))) F(g(g(0)), 1, g(y0)) -> c1(F(g(0), 1, g(y0))) F(g(g(g(y0))), z1, g(y2)) -> c1(F(g(g(y0)), z1, g(y2))) F(g(g(z0)), g(g(y1)), g(y2)) -> c1(F(g(z0), g(g(y1)), g(y2))) F(g(g(z0)), g(y1), g(g(y2))) -> c1(F(g(z0), g(y1), g(g(y2)))) F(g(g(0)), g(1), g(y0)) -> c1(F(g(0), g(1), g(y0))) F(g(g(g(y0))), g(y1), g(y2)) -> c1(F(g(g(y0)), g(y1), g(y2))) F(g(0), g(1), z2) -> c1(F(0, g(1), z2)) F(g(z0), g(g(y1)), z2) -> c1(F(z0, g(g(y1)), z2)) F(g(z0), g(z1), g(y2)) -> c1(F(z0, g(z1), g(y2))) F(g(z0), g(z1), g(g(y2))) -> c1(F(z0, g(z1), g(g(y2)))) F(g(0), g(1), g(y0)) -> c1(F(0, g(1), g(y0))) F(g(z0), g(g(y1)), g(y2)) -> c1(F(z0, g(g(y1)), g(y2))) F(g(g(g(g(y0)))), g(z1), z2) -> c1(F(g(g(g(y0))), g(z1), z2)) F(g(g(g(y0))), g(g(y1)), z2) -> c1(F(g(g(y0)), g(g(y1)), z2)) F(g(g(g(0))), g(1), z2) -> c1(F(g(g(0)), g(1), z2)) F(g(g(g(y0))), g(z1), g(g(y2))) -> c1(F(g(g(y0)), g(z1), g(g(y2)))) F(g(g(g(g(y0)))), g(z1), g(y2)) -> c1(F(g(g(g(y0))), g(z1), g(y2))) F(g(g(g(y0))), g(g(y1)), g(y2)) -> c1(F(g(g(y0)), g(g(y1)), g(y2))) F(g(g(g(0))), g(1), g(y0)) -> c1(F(g(g(0)), g(1), g(y0))) F(0, 1, g(y2)) -> c(F(g(g(y2)), g(g(y2)), g(y2))) F(0, 1, g(g(y2))) -> c(F(g(g(g(y2))), g(g(g(y2))), g(g(y2)))) F(0, 1, g(g(g(y0)))) -> c(F(g(g(g(g(y0)))), g(g(g(g(y0)))), g(g(g(y0))))) F(g(0), 1, g(y0)) -> c1(F(0, 1, g(y0))) F(g(0), 1, g(g(y2))) -> c1(F(0, 1, g(g(y2)))) F(g(0), 1, g(g(g(y0)))) -> c1(F(0, 1, g(g(g(y0))))) F(g(z0), z1, g(g(y2))) -> c1(F(z0, z1, g(g(y2)))) F(g(g(g(0))), 1, g(z2)) -> c1(F(g(g(0)), 1, g(z2))) F(g(g(g(g(y0)))), z1, g(z2)) -> c1(F(g(g(g(y0))), z1, g(z2))) F(g(g(g(y0))), z1, g(g(y2))) -> c1(F(g(g(y0)), z1, g(g(y2)))) F(g(g(g(g(g(y0))))), g(y1), g(z2)) -> c1(F(g(g(g(g(y0)))), g(y1), g(z2))) F(g(g(g(g(y0)))), g(g(y1)), g(z2)) -> c1(F(g(g(g(y0))), g(g(y1)), g(z2))) F(g(g(g(g(0)))), g(1), g(z2)) -> c1(F(g(g(g(0))), g(1), g(z2))) F(g(g(g(g(y0)))), g(y1), g(g(y2))) -> c1(F(g(g(g(y0))), g(y1), g(g(y2)))) F(g(g(0)), 1, g(g(y0))) -> c1(F(g(0), 1, g(g(y0)))) F(g(g(0)), 1, g(g(g(y0)))) -> c1(F(g(0), 1, g(g(g(y0))))) F(0, g(1), g(y0)) -> c2(F(0, 1, g(y0))) F(0, g(1), g(g(y2))) -> c2(F(0, 1, g(g(y2)))) F(0, g(1), g(g(g(y0)))) -> c2(F(0, 1, g(g(g(y0))))) F(z0, g(g(g(y1))), z2) -> c2(F(z0, g(g(y1)), z2)) F(z0, g(g(z1)), g(y2)) -> c2(F(z0, g(z1), g(y2))) F(g(0), g(g(1)), z2) -> c2(F(g(0), g(1), z2)) F(g(g(y0)), g(g(z1)), z2) -> c2(F(g(g(y0)), g(z1), z2)) F(g(y0), g(g(g(y1))), z2) -> c2(F(g(y0), g(g(y1)), z2)) F(g(y0), g(g(z1)), g(y2)) -> c2(F(g(y0), g(z1), g(y2))) F(z0, g(g(z1)), g(g(y2))) -> c2(F(z0, g(z1), g(g(y2)))) F(g(g(y0)), g(g(z1)), g(y2)) -> c2(F(g(g(y0)), g(z1), g(y2))) F(g(y0), g(g(z1)), g(g(y2))) -> c2(F(g(y0), g(z1), g(g(y2)))) F(0, g(g(1)), g(y0)) -> c2(F(0, g(1), g(y0))) F(z0, g(g(g(y1))), g(y2)) -> c2(F(z0, g(g(y1)), g(y2))) F(g(0), g(g(1)), g(y0)) -> c2(F(g(0), g(1), g(y0))) F(g(y0), g(g(g(y1))), g(y2)) -> c2(F(g(y0), g(g(y1)), g(y2))) F(g(g(g(y0))), g(g(z1)), z2) -> c2(F(g(g(g(y0))), g(z1), z2)) F(g(g(y0)), g(g(g(y1))), z2) -> c2(F(g(g(y0)), g(g(y1)), z2)) F(g(g(0)), g(g(1)), z2) -> c2(F(g(g(0)), g(1), z2)) F(g(g(y0)), g(g(z1)), g(g(y2))) -> c2(F(g(g(y0)), g(z1), g(g(y2)))) F(g(g(g(y0))), g(g(z1)), g(y2)) -> c2(F(g(g(g(y0))), g(z1), g(y2))) F(g(g(y0)), g(g(g(y1))), g(y2)) -> c2(F(g(g(y0)), g(g(y1)), g(y2))) F(g(g(0)), g(g(1)), g(y0)) -> c2(F(g(g(0)), g(1), g(y0))) F(g(g(g(g(y0)))), g(g(z1)), z2) -> c2(F(g(g(g(g(y0)))), g(z1), z2)) F(g(g(g(y0))), g(g(g(y1))), z2) -> c2(F(g(g(g(y0))), 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c2(F(g(g(y0)), g(g(g(y1))), g(z2))) F(g(g(0)), g(g(g(1))), g(z2)) -> c2(F(g(g(0)), g(g(1)), g(z2))) F(g(g(y0)), g(g(g(y1))), g(g(y2))) -> c2(F(g(g(y0)), g(g(y1)), g(g(y2)))) F(g(g(g(y0))), g(g(g(g(y1)))), g(z2)) -> c2(F(g(g(g(y0))), g(g(g(y1))), g(z2))) F(g(g(g(0))), g(g(g(1))), g(z2)) -> c2(F(g(g(g(0))), g(g(1)), g(z2))) F(g(g(g(y0))), g(g(g(y1))), g(g(y2))) -> c2(F(g(g(g(y0))), g(g(y1)), g(g(y2)))) F(g(g(g(g(g(y0))))), g(g(g(y1))), g(z2)) -> c2(F(g(g(g(g(g(y0))))), g(g(y1)), g(z2))) F(g(g(g(g(y0)))), g(g(g(g(y1)))), g(z2)) -> c2(F(g(g(g(g(y0)))), g(g(g(y1))), g(z2))) F(g(g(g(g(0)))), g(g(g(1))), g(z2)) -> c2(F(g(g(g(g(0)))), g(g(1)), g(z2))) F(g(g(g(g(y0)))), g(g(g(y1))), g(g(y2))) -> c2(F(g(g(g(g(y0)))), g(g(y1)), g(g(y2)))) F(0, g(g(g(1))), g(g(y0))) -> c2(F(0, g(g(1)), g(g(y0)))) F(0, g(g(g(1))), g(g(g(y0)))) -> c2(F(0, g(g(1)), g(g(g(y0))))) F(g(g(0)), g(1), z2) -> c2(F(g(g(0)), 1, z2)) F(g(g(g(y0))), g(z1), z2) -> c2(F(g(g(g(y0))), z1, z2)) F(g(g(z0)), g(g(g(g(y1)))), z2) -> c2(F(g(g(z0)), g(g(g(y1))), z2)) F(g(g(0)), g(g(g(1))), z2) -> c2(F(g(g(0)), g(g(1)), z2)) F(g(g(g(g(y0)))), g(g(g(y1))), z2) -> c2(F(g(g(g(g(y0)))), g(g(y1)), z2)) F(g(g(g(y0))), g(g(g(g(y1)))), z2) -> c2(F(g(g(g(y0))), g(g(g(y1))), z2)) F(g(g(g(0))), g(g(g(1))), z2) -> c2(F(g(g(g(0))), g(g(1)), z2)) F(g(g(0)), g(g(1)), g(g(y0))) -> c2(F(g(g(0)), g(1), g(g(y0)))) F(g(g(0)), g(g(1)), g(g(g(y0)))) -> c2(F(g(g(0)), g(1), g(g(g(y0))))) F(g(g(z0)), g(g(g(g(g(y1))))), g(y2)) -> c2(F(g(g(z0)), g(g(g(g(y1)))), g(y2))) F(g(g(z0)), g(g(g(g(y1)))), g(g(y2))) -> c2(F(g(g(z0)), g(g(g(y1))), g(g(y2)))) F(g(g(0)), g(g(g(g(1)))), g(y0)) -> c2(F(g(g(0)), g(g(g(1))), g(y0))) F(g(g(g(y0))), g(g(g(g(g(y1))))), g(y2)) -> c2(F(g(g(g(y0))), g(g(g(g(y1)))), g(y2))) F(g(g(g(0))), g(g(g(g(1)))), g(y0)) -> c2(F(g(g(g(0))), g(g(g(1))), g(y0))) F(g(g(g(y0))), g(g(g(g(y1)))), g(g(y2))) -> c2(F(g(g(g(y0))), g(g(g(y1))), g(g(y2)))) F(g(g(g(g(g(y0))))), g(g(g(g(y1)))), g(y2)) -> c2(F(g(g(g(g(g(y0))))), g(g(g(y1))), 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g(g(1)), g(g(g(y0))))) F(g(y0), g(g(g(g(g(y1))))), g(g(z2))) -> c3(F(g(y0), g(g(g(g(g(y1))))), g(z2))) F(g(0), g(g(g(g(1)))), g(g(z2))) -> c3(F(g(0), g(g(g(g(1)))), g(z2))) F(g(y0), g(g(g(g(y1)))), g(g(g(y2)))) -> c3(F(g(y0), g(g(g(g(y1)))), g(g(y2)))) F(g(g(0)), g(g(g(1))), g(g(g(y0)))) -> c3(F(g(g(0)), g(g(g(1))), g(g(y0)))) F(g(g(0)), g(g(g(1))), g(g(g(g(y0))))) -> c3(F(g(g(0)), g(g(g(1))), g(g(g(y0))))) F(g(g(y0)), g(g(g(g(g(g(y1)))))), g(g(z2))) -> c3(F(g(g(y0)), g(g(g(g(g(g(y1)))))), g(z2))) F(g(g(y0)), g(g(g(g(g(y1))))), g(g(g(y2)))) -> c3(F(g(g(y0)), g(g(g(g(g(y1))))), g(g(y2)))) F(g(g(0)), g(g(g(g(g(1))))), g(g(z2))) -> c3(F(g(g(0)), g(g(g(g(g(1))))), g(z2))) F(g(g(g(y0))), g(g(g(g(g(g(y1)))))), g(g(z2))) -> c3(F(g(g(g(y0))), g(g(g(g(g(g(y1)))))), g(z2))) F(g(g(g(0))), g(g(g(g(g(1))))), g(g(z2))) -> c3(F(g(g(g(0))), g(g(g(g(g(1))))), g(z2))) F(g(g(g(y0))), g(g(g(g(g(y1))))), g(g(g(y2)))) -> c3(F(g(g(g(y0))), g(g(g(g(g(y1))))), g(g(y2)))) F(g(g(g(g(g(y0))))), g(g(g(g(g(y1))))), 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g(g(g(g(y0)))))) F(g(0), 1, g(g(g(g(g(y0)))))) -> c3(F(g(0), 1, g(g(g(g(y0)))))) F(g(g(0)), 1, g(z2)) -> c3(F(g(g(0)), 1, z2)) F(g(g(g(y0))), z1, g(z2)) -> c3(F(g(g(g(y0))), z1, z2)) F(g(g(z0)), g(g(y1)), g(z2)) -> c3(F(g(g(z0)), g(g(y1)), z2)) F(g(g(0)), g(1), g(z2)) -> c3(F(g(g(0)), g(1), z2)) F(g(g(g(y0))), g(y1), g(z2)) -> c3(F(g(g(g(y0))), g(y1), z2)) F(g(g(g(g(y0)))), g(y1), g(z2)) -> c3(F(g(g(g(g(y0)))), g(y1), z2)) F(g(g(g(y0))), g(g(y1)), g(z2)) -> c3(F(g(g(g(y0))), g(g(y1)), z2)) F(g(g(g(0))), g(1), g(z2)) -> c3(F(g(g(g(0))), g(1), z2)) F(g(g(z0)), g(g(g(y1))), g(z2)) -> c3(F(g(g(z0)), g(g(g(y1))), z2)) F(g(g(0)), g(g(1)), g(z2)) -> c3(F(g(g(0)), g(g(1)), z2)) F(g(g(g(g(y0)))), g(g(y1)), g(z2)) -> c3(F(g(g(g(g(y0)))), g(g(y1)), z2)) F(g(g(g(y0))), g(g(g(y1))), g(z2)) -> c3(F(g(g(g(y0))), g(g(g(y1))), z2)) F(g(g(g(0))), g(g(1)), g(z2)) -> c3(F(g(g(g(0))), g(g(1)), z2)) F(g(g(z0)), g(g(g(g(y1)))), g(z2)) -> c3(F(g(g(z0)), g(g(g(g(y1)))), z2)) F(g(g(0)), g(g(g(1))), g(z2)) -> c3(F(g(g(0)), g(g(g(1))), z2)) F(g(g(g(g(y0)))), g(g(g(y1))), g(z2)) -> c3(F(g(g(g(g(y0)))), g(g(g(y1))), z2)) F(g(g(g(y0))), g(g(g(g(y1)))), g(z2)) -> c3(F(g(g(g(y0))), g(g(g(g(y1)))), z2)) F(g(g(g(0))), g(g(g(1))), g(z2)) -> c3(F(g(g(g(0))), g(g(g(1))), z2)) F(g(g(z0)), g(g(g(g(g(y1))))), g(z2)) -> c3(F(g(g(z0)), g(g(g(g(g(y1))))), z2)) F(g(g(0)), g(g(g(g(1)))), g(z2)) -> c3(F(g(g(0)), g(g(g(g(1)))), z2)) F(g(g(g(g(y0)))), g(g(g(g(y1)))), g(z2)) -> c3(F(g(g(g(g(y0)))), g(g(g(g(y1)))), z2)) F(g(g(g(y0))), g(g(g(g(g(y1))))), g(z2)) -> c3(F(g(g(g(y0))), g(g(g(g(g(y1))))), z2)) F(g(g(g(0))), g(g(g(g(1)))), g(z2)) -> c3(F(g(g(g(0))), g(g(g(g(1)))), z2)) F(g(g(z0)), z1, g(g(g(g(y2))))) -> c3(F(g(g(z0)), z1, g(g(g(y2))))) F(g(g(z0)), g(y1), g(g(g(g(y2))))) -> c3(F(g(g(z0)), g(y1), g(g(g(y2))))) F(g(g(g(0))), g(1), g(g(g(y0)))) -> c3(F(g(g(g(0))), g(1), g(g(y0)))) F(g(g(g(y0))), g(y1), g(g(g(g(y2))))) -> c3(F(g(g(g(y0))), g(y1), g(g(g(y2))))) F(g(g(g(0))), 1, g(g(g(y0)))) -> c3(F(g(g(g(0))), 1, g(g(y0)))) F(g(g(g(g(y0)))), z1, g(g(g(y2)))) -> c3(F(g(g(g(g(y0)))), z1, g(g(y2)))) F(g(g(g(y0))), z1, g(g(g(g(y2))))) -> c3(F(g(g(g(y0))), z1, g(g(g(y2))))) F(g(g(g(g(g(y0))))), g(y1), g(g(g(y2)))) -> c3(F(g(g(g(g(g(y0))))), g(y1), g(g(y2)))) F(g(g(g(g(0)))), g(1), g(g(g(y0)))) -> c3(F(g(g(g(g(0)))), g(1), g(g(y0)))) F(g(g(g(g(y0)))), g(y1), g(g(g(g(y2))))) -> c3(F(g(g(g(g(y0)))), g(y1), g(g(g(y2))))) F(g(g(0)), 1, g(g(g(g(g(y0)))))) -> c3(F(g(g(0)), 1, g(g(g(g(y0)))))) F(g(g(z0)), g(g(y1)), g(g(g(g(y2))))) -> c3(F(g(g(z0)), g(g(y1)), g(g(g(y2))))) F(g(g(g(0))), g(g(1)), g(g(g(y0)))) -> c3(F(g(g(g(0))), g(g(1)), g(g(y0)))) F(g(g(g(y0))), g(g(y1)), g(g(g(g(y2))))) -> c3(F(g(g(g(y0))), g(g(y1)), g(g(g(y2))))) F(g(g(g(g(g(y0))))), g(g(y1)), g(g(g(y2)))) -> c3(F(g(g(g(g(g(y0))))), g(g(y1)), g(g(y2)))) F(g(g(g(g(0)))), g(g(1)), g(g(g(y0)))) -> c3(F(g(g(g(g(0)))), g(g(1)), g(g(y0)))) F(g(g(g(g(y0)))), g(g(y1)), g(g(g(g(y2))))) -> c3(F(g(g(g(g(y0)))), g(g(y1)), g(g(g(y2))))) F(g(g(0)), g(1), g(g(g(g(g(y0)))))) -> c3(F(g(g(0)), g(1), g(g(g(g(y0)))))) F(g(g(z0)), g(g(g(y1))), g(g(g(g(y2))))) -> c3(F(g(g(z0)), g(g(g(y1))), g(g(g(y2))))) F(g(g(g(0))), g(g(g(1))), g(g(g(y0)))) -> c3(F(g(g(g(0))), g(g(g(1))), g(g(y0)))) F(g(g(g(y0))), g(g(g(y1))), g(g(g(g(y2))))) -> c3(F(g(g(g(y0))), g(g(g(y1))), g(g(g(y2))))) F(g(g(g(g(g(y0))))), g(g(g(y1))), g(g(g(y2)))) -> c3(F(g(g(g(g(g(y0))))), g(g(g(y1))), g(g(y2)))) F(g(g(g(g(0)))), g(g(g(1))), g(g(g(y0)))) -> c3(F(g(g(g(g(0)))), g(g(g(1))), g(g(y0)))) F(g(g(g(g(y0)))), g(g(g(y1))), g(g(g(g(y2))))) -> c3(F(g(g(g(g(y0)))), g(g(g(y1))), g(g(g(y2))))) F(g(g(0)), g(g(1)), g(g(g(g(g(y0)))))) -> c3(F(g(g(0)), g(g(1)), g(g(g(g(y0)))))) F(g(g(z0)), g(g(g(g(y1)))), g(g(g(g(y2))))) -> c3(F(g(g(z0)), g(g(g(g(y1)))), g(g(g(y2))))) F(g(g(g(0))), g(g(g(g(1)))), g(g(g(y0)))) -> c3(F(g(g(g(0))), g(g(g(g(1)))), g(g(y0)))) F(g(g(g(y0))), g(g(g(g(y1)))), g(g(g(g(y2))))) -> c3(F(g(g(g(y0))), g(g(g(g(y1)))), g(g(g(y2))))) F(g(g(g(g(g(y0))))), g(g(g(g(y1)))), g(g(g(y2)))) -> c3(F(g(g(g(g(g(y0))))), g(g(g(g(y1)))), g(g(y2)))) F(g(g(g(g(0)))), g(g(g(g(1)))), g(g(g(y0)))) -> c3(F(g(g(g(g(0)))), g(g(g(g(1)))), g(g(y0)))) F(g(g(g(g(y0)))), g(g(g(g(y1)))), g(g(g(g(y2))))) -> c3(F(g(g(g(g(y0)))), g(g(g(g(y1)))), g(g(g(y2))))) F(g(g(0)), g(g(g(1))), g(g(g(g(g(y0)))))) -> c3(F(g(g(0)), g(g(g(1))), g(g(g(g(y0)))))) F(g(g(z0)), g(g(g(g(g(y1))))), g(g(g(g(y2))))) -> c3(F(g(g(z0)), g(g(g(g(g(y1))))), g(g(g(y2))))) F(g(g(0)), g(g(g(g(g(1))))), g(g(g(y0)))) -> c3(F(g(g(0)), g(g(g(g(g(1))))), g(g(y0)))) F(g(g(g(0))), g(g(g(g(g(1))))), g(g(g(y0)))) -> c3(F(g(g(g(0))), g(g(g(g(g(1))))), g(g(y0)))) F(g(g(g(y0))), g(g(g(g(g(y1))))), g(g(g(g(y2))))) -> c3(F(g(g(g(y0))), g(g(g(g(g(y1))))), g(g(g(y2))))) F(g(g(g(g(g(y0))))), g(g(g(g(g(y1))))), g(g(g(y2)))) -> c3(F(g(g(g(g(g(y0))))), g(g(g(g(g(y1))))), g(g(y2)))) F(g(g(g(g(0)))), g(g(g(g(g(1))))), g(g(g(y0)))) -> c3(F(g(g(g(g(0)))), g(g(g(g(g(1))))), g(g(y0)))) F(g(g(g(g(y0)))), g(g(g(g(g(y1))))), g(g(g(g(y2))))) -> c3(F(g(g(g(g(y0)))), g(g(g(g(g(y1))))), g(g(g(y2))))) F(g(g(0)), g(g(g(g(1)))), g(g(g(g(g(y0)))))) -> c3(F(g(g(0)), g(g(g(g(1)))), g(g(g(g(y0)))))) F(g(g(z0)), g(g(g(g(g(g(g(y1))))))), g(g(g(y2)))) -> c3(F(g(g(z0)), g(g(g(g(g(g(g(y1))))))), g(g(y2)))) F(g(g(z0)), g(g(g(g(g(g(y1)))))), g(g(g(g(y2))))) -> c3(F(g(g(z0)), g(g(g(g(g(g(y1)))))), g(g(g(y2))))) F(g(g(0)), g(g(g(g(g(g(1)))))), g(g(g(y0)))) -> c3(F(g(g(0)), g(g(g(g(g(g(1)))))), g(g(y0)))) F(g(g(g(y0))), g(g(g(g(g(g(g(y1))))))), g(g(g(y2)))) -> c3(F(g(g(g(y0))), g(g(g(g(g(g(g(y1))))))), g(g(y2)))) F(g(g(g(0))), g(g(g(g(g(g(1)))))), g(g(g(y0)))) -> c3(F(g(g(g(0))), g(g(g(g(g(g(1)))))), g(g(y0)))) F(g(g(g(y0))), g(g(g(g(g(g(y1)))))), g(g(g(g(y2))))) -> c3(F(g(g(g(y0))), g(g(g(g(g(g(y1)))))), g(g(g(y2))))) F(g(g(g(g(g(y0))))), g(g(g(g(g(g(y1)))))), g(g(g(y2)))) -> c3(F(g(g(g(g(g(y0))))), g(g(g(g(g(g(y1)))))), g(g(y2)))) F(g(g(g(g(y0)))), g(g(g(g(g(g(g(y1))))))), g(g(g(y2)))) -> c3(F(g(g(g(g(y0)))), g(g(g(g(g(g(g(y1))))))), g(g(y2)))) F(g(g(g(g(0)))), g(g(g(g(g(g(1)))))), g(g(g(y0)))) -> c3(F(g(g(g(g(0)))), g(g(g(g(g(g(1)))))), g(g(y0)))) F(g(g(g(g(y0)))), g(g(g(g(g(g(y1)))))), g(g(g(g(y2))))) -> c3(F(g(g(g(g(y0)))), g(g(g(g(g(g(y1)))))), g(g(g(y2))))) F(g(z0), g(g(g(y1))), g(z2)) -> c3(F(g(z0), g(g(g(y1))), z2)) F(g(0), g(g(1)), g(z2)) -> c3(F(g(0), g(g(1)), z2)) F(g(z0), g(g(g(g(y1)))), g(z2)) -> c3(F(g(z0), g(g(g(g(y1)))), z2)) F(g(0), g(g(g(1))), g(z2)) -> c3(F(g(0), g(g(g(1))), z2)) F(g(z0), g(z1), g(g(g(g(y2))))) -> c3(F(g(z0), g(z1), g(g(g(y2))))) F(g(z0), g(g(y1)), g(g(g(g(y2))))) -> c3(F(g(z0), g(g(y1)), g(g(g(y2))))) F(g(0), g(1), g(g(g(g(g(y0)))))) -> c3(F(g(0), g(1), g(g(g(g(y0)))))) F(g(z0), g(g(g(y1))), g(g(g(g(y2))))) -> c3(F(g(z0), g(g(g(y1))), g(g(g(y2))))) F(g(0), g(g(1)), g(g(g(g(g(y0)))))) -> c3(F(g(0), g(g(1)), g(g(g(g(y0)))))) F(g(0), g(g(g(g(1)))), g(g(g(y0)))) -> c3(F(g(0), g(g(g(g(1)))), g(g(y0)))) F(g(z0), g(g(g(g(y1)))), g(g(g(g(y2))))) -> c3(F(g(z0), g(g(g(g(y1)))), g(g(g(y2))))) F(g(0), g(g(g(1))), g(g(g(g(g(y0)))))) -> c3(F(g(0), g(g(g(1))), g(g(g(g(y0)))))) F(g(z0), g(g(g(g(g(g(y1)))))), g(g(g(y2)))) -> c3(F(g(z0), g(g(g(g(g(g(y1)))))), g(g(y2)))) F(g(0), g(g(g(g(g(1))))), g(g(g(y0)))) -> c3(F(g(0), g(g(g(g(g(1))))), g(g(y0)))) F(g(z0), g(g(g(g(g(y1))))), g(g(g(g(y2))))) -> c3(F(g(z0), g(g(g(g(g(y1))))), g(g(g(y2))))) F(g(g(y0)), g(z1), g(g(g(g(g(y2)))))) -> c3(F(g(g(y0)), g(z1), g(g(g(g(y2)))))) F(g(g(g(0))), g(1), g(g(g(g(y0))))) -> c3(F(g(g(g(0))), g(1), g(g(g(y0))))) F(g(g(g(y0))), g(z1), g(g(g(g(g(y2)))))) -> c3(F(g(g(g(y0))), g(z1), g(g(g(g(y2)))))) F(g(g(g(g(g(y0))))), g(z1), g(g(g(g(y2))))) -> c3(F(g(g(g(g(g(y0))))), g(z1), g(g(g(y2))))) F(g(g(g(g(0)))), g(1), g(g(g(g(y0))))) -> c3(F(g(g(g(g(0)))), g(1), g(g(g(y0))))) F(g(g(g(g(y0)))), g(z1), g(g(g(g(g(y2)))))) -> c3(F(g(g(g(g(y0)))), g(z1), g(g(g(g(y2)))))) F(g(g(y0)), g(g(y1)), g(g(g(g(g(y2)))))) -> c3(F(g(g(y0)), g(g(y1)), g(g(g(g(y2)))))) F(g(g(g(0))), g(g(1)), g(g(g(g(y0))))) -> c3(F(g(g(g(0))), g(g(1)), g(g(g(y0))))) F(g(g(g(y0))), g(g(y1)), g(g(g(g(g(y2)))))) -> c3(F(g(g(g(y0))), g(g(y1)), g(g(g(g(y2)))))) F(g(g(g(g(g(y0))))), g(g(y1)), g(g(g(g(y2))))) -> c3(F(g(g(g(g(g(y0))))), g(g(y1)), g(g(g(y2))))) F(g(g(g(g(0)))), g(g(1)), g(g(g(g(y0))))) -> c3(F(g(g(g(g(0)))), g(g(1)), g(g(g(y0))))) F(g(g(g(g(y0)))), g(g(y1)), g(g(g(g(g(y2)))))) -> c3(F(g(g(g(g(y0)))), g(g(y1)), g(g(g(g(y2)))))) F(g(g(0)), g(1), g(g(g(g(g(g(y0))))))) -> c3(F(g(g(0)), g(1), g(g(g(g(g(y0))))))) F(g(g(y0)), g(g(g(y1))), g(g(g(g(g(y2)))))) -> c3(F(g(g(y0)), g(g(g(y1))), g(g(g(g(y2)))))) F(g(g(g(0))), g(g(g(1))), g(g(g(g(y0))))) -> c3(F(g(g(g(0))), g(g(g(1))), g(g(g(y0))))) F(g(g(g(y0))), g(g(g(y1))), g(g(g(g(g(y2)))))) -> c3(F(g(g(g(y0))), g(g(g(y1))), g(g(g(g(y2)))))) F(g(g(g(g(g(y0))))), g(g(g(y1))), g(g(g(g(y2))))) -> c3(F(g(g(g(g(g(y0))))), g(g(g(y1))), g(g(g(y2))))) F(g(g(g(g(0)))), g(g(g(1))), g(g(g(g(y0))))) -> c3(F(g(g(g(g(0)))), g(g(g(1))), g(g(g(y0))))) F(g(g(g(g(y0)))), g(g(g(y1))), g(g(g(g(g(y2)))))) -> c3(F(g(g(g(g(y0)))), g(g(g(y1))), g(g(g(g(y2)))))) F(g(g(0)), g(g(1)), g(g(g(g(g(g(y0))))))) -> c3(F(g(g(0)), g(g(1)), g(g(g(g(g(y0))))))) F(g(g(y0)), g(g(g(g(y1)))), g(g(g(g(g(y2)))))) -> c3(F(g(g(y0)), g(g(g(g(y1)))), g(g(g(g(y2)))))) F(g(g(g(0))), g(g(g(g(1)))), g(g(g(g(y0))))) -> c3(F(g(g(g(0))), g(g(g(g(1)))), g(g(g(y0))))) F(g(g(g(y0))), g(g(g(g(y1)))), g(g(g(g(g(y2)))))) -> c3(F(g(g(g(y0))), g(g(g(g(y1)))), g(g(g(g(y2)))))) F(g(g(g(g(g(y0))))), g(g(g(g(y1)))), g(g(g(g(y2))))) -> c3(F(g(g(g(g(g(y0))))), g(g(g(g(y1)))), g(g(g(y2))))) F(g(g(g(g(0)))), g(g(g(g(1)))), g(g(g(g(y0))))) -> c3(F(g(g(g(g(0)))), g(g(g(g(1)))), g(g(g(y0))))) F(g(g(g(g(y0)))), g(g(g(g(y1)))), g(g(g(g(g(y2)))))) -> c3(F(g(g(g(g(y0)))), g(g(g(g(y1)))), g(g(g(g(y2)))))) F(g(g(0)), g(g(g(1))), g(g(g(g(g(g(y0))))))) -> c3(F(g(g(0)), g(g(g(1))), g(g(g(g(g(y0))))))) F(g(g(y0)), g(g(g(g(g(y1))))), g(g(g(g(g(y2)))))) -> c3(F(g(g(y0)), g(g(g(g(g(y1))))), g(g(g(g(y2)))))) F(g(g(0)), g(g(g(g(g(1))))), g(g(g(g(y0))))) -> c3(F(g(g(0)), g(g(g(g(g(1))))), g(g(g(y0))))) F(g(g(g(0))), g(g(g(g(g(1))))), g(g(g(g(y0))))) -> c3(F(g(g(g(0))), g(g(g(g(g(1))))), g(g(g(y0))))) F(g(g(g(y0))), g(g(g(g(g(y1))))), g(g(g(g(g(y2)))))) -> c3(F(g(g(g(y0))), g(g(g(g(g(y1))))), g(g(g(g(y2)))))) F(g(g(g(g(g(y0))))), g(g(g(g(g(y1))))), g(g(g(g(y2))))) -> c3(F(g(g(g(g(g(y0))))), g(g(g(g(g(y1))))), g(g(g(y2))))) F(g(g(g(g(0)))), g(g(g(g(g(1))))), g(g(g(g(y0))))) -> c3(F(g(g(g(g(0)))), g(g(g(g(g(1))))), g(g(g(y0))))) F(g(g(g(g(y0)))), g(g(g(g(g(y1))))), g(g(g(g(g(y2)))))) -> c3(F(g(g(g(g(y0)))), g(g(g(g(g(y1))))), g(g(g(g(y2)))))) F(g(g(0)), g(g(g(g(1)))), g(g(g(g(g(g(y0))))))) -> c3(F(g(g(0)), g(g(g(g(1)))), g(g(g(g(g(y0))))))) F(g(g(y0)), g(g(g(g(g(g(g(y1))))))), g(g(g(g(y2))))) -> c3(F(g(g(y0)), g(g(g(g(g(g(g(y1))))))), g(g(g(y2))))) F(g(g(y0)), g(g(g(g(g(g(y1)))))), g(g(g(g(g(y2)))))) -> c3(F(g(g(y0)), g(g(g(g(g(g(y1)))))), g(g(g(g(y2)))))) F(g(g(0)), g(g(g(g(g(g(1)))))), g(g(g(g(y0))))) -> c3(F(g(g(0)), g(g(g(g(g(g(1)))))), g(g(g(y0))))) F(g(g(g(y0))), g(g(g(g(g(g(g(y1))))))), g(g(g(g(y2))))) -> c3(F(g(g(g(y0))), g(g(g(g(g(g(g(y1))))))), g(g(g(y2))))) F(g(g(g(0))), g(g(g(g(g(g(1)))))), g(g(g(g(y0))))) -> c3(F(g(g(g(0))), g(g(g(g(g(g(1)))))), g(g(g(y0))))) F(g(g(g(y0))), g(g(g(g(g(g(y1)))))), g(g(g(g(g(y2)))))) -> c3(F(g(g(g(y0))), g(g(g(g(g(g(y1)))))), g(g(g(g(y2)))))) F(g(g(g(g(g(y0))))), g(g(g(g(g(g(y1)))))), g(g(g(g(y2))))) -> c3(F(g(g(g(g(g(y0))))), g(g(g(g(g(g(y1)))))), g(g(g(y2))))) F(g(g(g(g(y0)))), g(g(g(g(g(g(g(y1))))))), g(g(g(g(y2))))) -> c3(F(g(g(g(g(y0)))), g(g(g(g(g(g(g(y1))))))), g(g(g(y2))))) F(g(g(g(g(0)))), g(g(g(g(g(g(1)))))), g(g(g(g(y0))))) -> c3(F(g(g(g(g(0)))), g(g(g(g(g(g(1)))))), g(g(g(y0))))) F(g(g(g(g(y0)))), g(g(g(g(g(g(y1)))))), g(g(g(g(g(y2)))))) -> c3(F(g(g(g(g(y0)))), g(g(g(g(g(g(y1)))))), g(g(g(g(y2)))))) F(g(z0), z1, g(g(g(g(y2))))) -> c3(F(g(z0), z1, g(g(g(y2))))) F(g(0), 1, g(g(g(g(g(g(y0))))))) -> c3(F(g(0), 1, g(g(g(g(g(y0))))))) F(g(g(y0)), z1, g(g(g(g(g(y2)))))) -> c3(F(g(g(y0)), z1, g(g(g(g(y2)))))) F(g(g(g(0))), 1, g(g(g(g(y0))))) -> c3(F(g(g(g(0))), 1, g(g(g(y0))))) F(g(g(g(g(y0)))), z1, g(g(g(g(y2))))) -> c3(F(g(g(g(g(y0)))), z1, g(g(g(y2))))) F(g(g(g(y0))), z1, g(g(g(g(g(y2)))))) -> c3(F(g(g(g(y0))), z1, g(g(g(g(y2)))))) F(g(g(0)), 1, g(g(g(g(g(g(y0))))))) -> c3(F(g(g(0)), 1, g(g(g(g(g(y0))))))) F(g(z0), g(y1), g(g(g(g(g(y2)))))) -> c3(F(g(z0), g(y1), g(g(g(g(y2)))))) F(g(z0), g(g(y1)), g(g(g(g(g(y2)))))) -> c3(F(g(z0), g(g(y1)), g(g(g(g(y2)))))) F(g(0), g(1), g(g(g(g(g(g(y0))))))) -> c3(F(g(0), g(1), g(g(g(g(g(y0))))))) F(g(z0), g(g(g(y1))), g(g(g(g(g(y2)))))) -> c3(F(g(z0), g(g(g(y1))), g(g(g(g(y2)))))) F(g(0), g(g(1)), g(g(g(g(g(g(y0))))))) -> c3(F(g(0), g(g(1)), g(g(g(g(g(y0))))))) F(g(0), g(g(g(g(1)))), g(g(g(g(y0))))) -> c3(F(g(0), g(g(g(g(1)))), g(g(g(y0))))) F(g(z0), g(g(g(g(y1)))), g(g(g(g(g(y2)))))) -> c3(F(g(z0), g(g(g(g(y1)))), g(g(g(g(y2)))))) F(g(0), g(g(g(1))), g(g(g(g(g(g(y0))))))) -> c3(F(g(0), g(g(g(1))), g(g(g(g(g(y0))))))) F(g(z0), g(g(g(g(g(g(y1)))))), g(g(g(g(y2))))) -> c3(F(g(z0), g(g(g(g(g(g(y1)))))), g(g(g(y2))))) F(g(0), g(g(g(g(g(1))))), g(g(g(g(y0))))) -> c3(F(g(0), g(g(g(g(g(1))))), g(g(g(y0))))) F(g(z0), g(g(g(g(g(y1))))), g(g(g(g(g(y2)))))) -> c3(F(g(z0), g(g(g(g(g(y1))))), g(g(g(g(y2)))))) F(g(g(y0)), g(y1), g(g(g(g(g(g(y2))))))) -> c3(F(g(g(y0)), g(y1), g(g(g(g(g(y2))))))) F(g(g(g(0))), g(1), g(g(g(g(g(y0)))))) -> c3(F(g(g(g(0))), g(1), g(g(g(g(y0)))))) F(g(g(g(y0))), g(y1), g(g(g(g(g(g(y2))))))) -> c3(F(g(g(g(y0))), g(y1), g(g(g(g(g(y2))))))) F(g(g(g(g(g(y0))))), g(y1), g(g(g(g(g(y2)))))) -> c3(F(g(g(g(g(g(y0))))), g(y1), g(g(g(g(y2)))))) F(g(g(g(g(0)))), g(1), g(g(g(g(g(y0)))))) -> c3(F(g(g(g(g(0)))), g(1), g(g(g(g(y0)))))) F(g(g(g(g(y0)))), g(y1), g(g(g(g(g(g(y2))))))) -> c3(F(g(g(g(g(y0)))), g(y1), g(g(g(g(g(y2))))))) F(g(g(y0)), g(g(y1)), g(g(g(g(g(g(y2))))))) -> c3(F(g(g(y0)), g(g(y1)), g(g(g(g(g(y2))))))) F(g(g(g(0))), g(g(1)), g(g(g(g(g(y0)))))) -> c3(F(g(g(g(0))), g(g(1)), g(g(g(g(y0)))))) F(g(g(g(y0))), g(g(y1)), g(g(g(g(g(g(y2))))))) -> c3(F(g(g(g(y0))), g(g(y1)), g(g(g(g(g(y2))))))) F(g(g(g(g(g(y0))))), g(g(y1)), g(g(g(g(g(y2)))))) -> c3(F(g(g(g(g(g(y0))))), g(g(y1)), g(g(g(g(y2)))))) F(g(g(g(g(0)))), g(g(1)), g(g(g(g(g(y0)))))) -> c3(F(g(g(g(g(0)))), g(g(1)), g(g(g(g(y0)))))) F(g(g(g(g(y0)))), g(g(y1)), g(g(g(g(g(g(y2))))))) -> c3(F(g(g(g(g(y0)))), g(g(y1)), g(g(g(g(g(y2))))))) F(g(g(0)), g(1), g(g(g(g(g(g(g(y0)))))))) -> c3(F(g(g(0)), g(1), g(g(g(g(g(g(y0)))))))) F(g(g(y0)), g(g(g(y1))), g(g(g(g(g(g(y2))))))) -> c3(F(g(g(y0)), g(g(g(y1))), g(g(g(g(g(y2))))))) F(g(g(g(0))), g(g(g(1))), g(g(g(g(g(y0)))))) -> c3(F(g(g(g(0))), g(g(g(1))), g(g(g(g(y0)))))) F(g(g(g(y0))), g(g(g(y1))), g(g(g(g(g(g(y2))))))) -> c3(F(g(g(g(y0))), g(g(g(y1))), g(g(g(g(g(y2))))))) F(g(g(g(g(g(y0))))), g(g(g(y1))), g(g(g(g(g(y2)))))) -> c3(F(g(g(g(g(g(y0))))), g(g(g(y1))), g(g(g(g(y2)))))) F(g(g(g(g(0)))), g(g(g(1))), g(g(g(g(g(y0)))))) -> c3(F(g(g(g(g(0)))), g(g(g(1))), g(g(g(g(y0)))))) F(g(g(g(g(y0)))), g(g(g(y1))), g(g(g(g(g(g(y2))))))) -> c3(F(g(g(g(g(y0)))), g(g(g(y1))), g(g(g(g(g(y2))))))) F(g(g(0)), g(g(1)), g(g(g(g(g(g(g(y0)))))))) -> c3(F(g(g(0)), g(g(1)), g(g(g(g(g(g(y0)))))))) F(g(g(y0)), g(g(g(g(y1)))), g(g(g(g(g(g(y2))))))) -> c3(F(g(g(y0)), g(g(g(g(y1)))), g(g(g(g(g(y2))))))) F(g(g(g(0))), g(g(g(g(1)))), g(g(g(g(g(y0)))))) -> c3(F(g(g(g(0))), g(g(g(g(1)))), g(g(g(g(y0)))))) F(g(g(g(y0))), g(g(g(g(y1)))), g(g(g(g(g(g(y2))))))) -> c3(F(g(g(g(y0))), g(g(g(g(y1)))), g(g(g(g(g(y2))))))) F(g(g(g(g(g(y0))))), g(g(g(g(y1)))), g(g(g(g(g(y2)))))) -> c3(F(g(g(g(g(g(y0))))), g(g(g(g(y1)))), g(g(g(g(y2)))))) F(g(g(g(g(0)))), g(g(g(g(1)))), g(g(g(g(g(y0)))))) -> c3(F(g(g(g(g(0)))), g(g(g(g(1)))), g(g(g(g(y0)))))) F(g(g(g(g(y0)))), g(g(g(g(y1)))), g(g(g(g(g(g(y2))))))) -> c3(F(g(g(g(g(y0)))), g(g(g(g(y1)))), g(g(g(g(g(y2))))))) F(g(g(0)), g(g(g(1))), g(g(g(g(g(g(g(y0)))))))) -> c3(F(g(g(0)), g(g(g(1))), g(g(g(g(g(g(y0)))))))) F(g(g(y0)), g(g(g(g(g(y1))))), g(g(g(g(g(g(y2))))))) -> c3(F(g(g(y0)), g(g(g(g(g(y1))))), g(g(g(g(g(y2))))))) F(g(g(0)), g(g(g(g(g(1))))), g(g(g(g(g(y0)))))) -> c3(F(g(g(0)), g(g(g(g(g(1))))), g(g(g(g(y0)))))) F(g(g(g(0))), g(g(g(g(g(1))))), g(g(g(g(g(y0)))))) -> c3(F(g(g(g(0))), g(g(g(g(g(1))))), g(g(g(g(y0)))))) F(g(g(g(y0))), g(g(g(g(g(y1))))), g(g(g(g(g(g(y2))))))) -> c3(F(g(g(g(y0))), g(g(g(g(g(y1))))), g(g(g(g(g(y2))))))) F(g(g(g(g(g(y0))))), g(g(g(g(g(y1))))), g(g(g(g(g(y2)))))) -> c3(F(g(g(g(g(g(y0))))), g(g(g(g(g(y1))))), g(g(g(g(y2)))))) F(g(g(g(g(0)))), g(g(g(g(g(1))))), g(g(g(g(g(y0)))))) -> c3(F(g(g(g(g(0)))), g(g(g(g(g(1))))), g(g(g(g(y0)))))) F(g(g(g(g(y0)))), g(g(g(g(g(y1))))), g(g(g(g(g(g(y2))))))) -> c3(F(g(g(g(g(y0)))), g(g(g(g(g(y1))))), g(g(g(g(g(y2))))))) F(g(g(0)), g(g(g(g(1)))), g(g(g(g(g(g(g(y0)))))))) -> c3(F(g(g(0)), g(g(g(g(1)))), g(g(g(g(g(g(y0)))))))) F(g(g(y0)), g(g(g(g(g(g(g(y1))))))), g(g(g(g(g(y2)))))) -> c3(F(g(g(y0)), g(g(g(g(g(g(g(y1))))))), g(g(g(g(y2)))))) F(g(g(y0)), g(g(g(g(g(g(y1)))))), g(g(g(g(g(g(y2))))))) -> c3(F(g(g(y0)), g(g(g(g(g(g(y1)))))), g(g(g(g(g(y2))))))) F(g(g(0)), g(g(g(g(g(g(1)))))), g(g(g(g(g(y0)))))) -> c3(F(g(g(0)), g(g(g(g(g(g(1)))))), g(g(g(g(y0)))))) F(g(g(g(y0))), g(g(g(g(g(g(g(y1))))))), g(g(g(g(g(y2)))))) -> c3(F(g(g(g(y0))), g(g(g(g(g(g(g(y1))))))), g(g(g(g(y2)))))) F(g(g(g(0))), g(g(g(g(g(g(1)))))), g(g(g(g(g(y0)))))) -> c3(F(g(g(g(0))), g(g(g(g(g(g(1)))))), g(g(g(g(y0)))))) F(g(g(g(y0))), g(g(g(g(g(g(y1)))))), g(g(g(g(g(g(y2))))))) -> c3(F(g(g(g(y0))), g(g(g(g(g(g(y1)))))), g(g(g(g(g(y2))))))) F(g(g(g(g(g(y0))))), g(g(g(g(g(g(y1)))))), g(g(g(g(g(y2)))))) -> c3(F(g(g(g(g(g(y0))))), g(g(g(g(g(g(y1)))))), g(g(g(g(y2)))))) F(g(g(g(g(y0)))), g(g(g(g(g(g(g(y1))))))), g(g(g(g(g(y2)))))) -> c3(F(g(g(g(g(y0)))), g(g(g(g(g(g(g(y1))))))), g(g(g(g(y2)))))) F(g(g(g(g(0)))), g(g(g(g(g(g(1)))))), g(g(g(g(g(y0)))))) -> c3(F(g(g(g(g(0)))), g(g(g(g(g(g(1)))))), g(g(g(g(y0)))))) F(g(g(g(g(y0)))), g(g(g(g(g(g(y1)))))), g(g(g(g(g(g(y2))))))) -> c3(F(g(g(g(g(y0)))), g(g(g(g(g(g(y1)))))), g(g(g(g(g(y2))))))) F(0, g(1), g(g(g(g(g(y0)))))) -> c3(F(0, g(1), g(g(g(g(y0)))))) F(z0, g(g(g(y1))), g(z2)) -> c3(F(z0, g(g(g(y1))), z2)) F(z0, g(g(z1)), g(g(g(g(y2))))) -> c3(F(z0, g(g(z1)), g(g(g(y2))))) F(0, g(g(1)), g(g(g(g(g(y0)))))) -> c3(F(0, g(g(1)), g(g(g(g(y0)))))) F(z0, g(g(g(g(y1)))), g(g(g(y2)))) -> c3(F(z0, g(g(g(g(y1)))), g(g(y2)))) F(z0, g(g(g(y1))), g(g(g(g(y2))))) -> c3(F(z0, g(g(g(y1))), g(g(g(y2))))) F(0, g(g(g(1))), g(g(g(g(g(y0)))))) -> c3(F(0, g(g(g(1))), g(g(g(g(y0)))))) F(g(y0), g(g(z1)), g(g(g(g(g(g(y2))))))) -> c3(F(g(y0), g(g(z1)), g(g(g(g(g(y2))))))) F(g(y0), g(g(g(y1))), g(g(g(g(g(g(y2))))))) -> c3(F(g(y0), g(g(g(y1))), g(g(g(g(g(y2))))))) F(g(0), g(g(1)), g(g(g(g(g(g(g(y0)))))))) -> c3(F(g(0), g(g(1)), g(g(g(g(g(g(y0)))))))) F(g(0), g(g(g(g(1)))), g(g(g(g(g(y0)))))) -> c3(F(g(0), g(g(g(g(1)))), g(g(g(g(y0)))))) F(g(y0), g(g(g(g(y1)))), g(g(g(g(g(g(y2))))))) -> c3(F(g(y0), g(g(g(g(y1)))), g(g(g(g(g(y2))))))) F(g(0), g(g(g(1))), g(g(g(g(g(g(g(y0)))))))) -> c3(F(g(0), g(g(g(1))), g(g(g(g(g(g(y0)))))))) F(g(y0), g(g(g(g(g(g(y1)))))), g(g(g(g(g(y2)))))) -> c3(F(g(y0), g(g(g(g(g(g(y1)))))), g(g(g(g(y2)))))) F(g(0), g(g(g(g(g(1))))), g(g(g(g(g(y0)))))) -> c3(F(g(0), g(g(g(g(g(1))))), g(g(g(g(y0)))))) F(g(y0), g(g(g(g(g(y1))))), g(g(g(g(g(g(y2))))))) -> c3(F(g(y0), g(g(g(g(g(y1))))), g(g(g(g(g(y2))))))) F(g(g(y0)), g(g(z1)), g(g(g(g(g(g(g(y2)))))))) -> c3(F(g(g(y0)), g(g(z1)), g(g(g(g(g(g(y2)))))))) F(g(g(g(y0))), g(g(z1)), g(g(g(g(g(g(g(y2)))))))) -> c3(F(g(g(g(y0))), g(g(z1)), g(g(g(g(g(g(y2)))))))) F(g(g(g(g(g(y0))))), g(g(z1)), g(g(g(g(g(g(y2))))))) -> c3(F(g(g(g(g(g(y0))))), g(g(z1)), g(g(g(g(g(y2))))))) F(g(g(g(g(y0)))), g(g(z1)), g(g(g(g(g(g(g(y2)))))))) -> c3(F(g(g(g(g(y0)))), g(g(z1)), g(g(g(g(g(g(y2)))))))) F(g(g(g(0))), g(g(1)), g(g(g(g(g(g(y0))))))) -> c3(F(g(g(g(0))), g(g(1)), g(g(g(g(g(y0))))))) F(g(g(g(g(0)))), g(g(1)), g(g(g(g(g(g(y0))))))) -> c3(F(g(g(g(g(0)))), g(g(1)), g(g(g(g(g(y0))))))) F(g(g(y0)), g(g(g(y1))), g(g(g(g(g(g(g(y2)))))))) -> c3(F(g(g(y0)), g(g(g(y1))), g(g(g(g(g(g(y2)))))))) F(g(g(g(0))), g(g(g(1))), g(g(g(g(g(g(y0))))))) -> c3(F(g(g(g(0))), g(g(g(1))), g(g(g(g(g(y0))))))) F(g(g(g(y0))), g(g(g(y1))), g(g(g(g(g(g(g(y2)))))))) -> c3(F(g(g(g(y0))), g(g(g(y1))), g(g(g(g(g(g(y2)))))))) F(g(g(g(g(g(y0))))), g(g(g(y1))), g(g(g(g(g(g(y2))))))) -> c3(F(g(g(g(g(g(y0))))), g(g(g(y1))), g(g(g(g(g(y2))))))) F(g(g(g(g(0)))), g(g(g(1))), g(g(g(g(g(g(y0))))))) -> c3(F(g(g(g(g(0)))), g(g(g(1))), g(g(g(g(g(y0))))))) F(g(g(g(g(y0)))), g(g(g(y1))), g(g(g(g(g(g(g(y2)))))))) -> c3(F(g(g(g(g(y0)))), g(g(g(y1))), g(g(g(g(g(g(y2)))))))) F(g(g(0)), g(g(1)), g(g(g(g(g(g(g(g(y0))))))))) -> c3(F(g(g(0)), g(g(1)), g(g(g(g(g(g(g(y0))))))))) F(g(g(y0)), g(g(g(g(y1)))), g(g(g(g(g(g(g(y2)))))))) -> c3(F(g(g(y0)), g(g(g(g(y1)))), g(g(g(g(g(g(y2)))))))) F(g(g(g(0))), g(g(g(g(1)))), g(g(g(g(g(g(y0))))))) -> c3(F(g(g(g(0))), g(g(g(g(1)))), g(g(g(g(g(y0))))))) F(g(g(g(y0))), g(g(g(g(y1)))), g(g(g(g(g(g(g(y2)))))))) -> c3(F(g(g(g(y0))), g(g(g(g(y1)))), g(g(g(g(g(g(y2)))))))) F(g(g(g(g(g(y0))))), g(g(g(g(y1)))), g(g(g(g(g(g(y2))))))) -> c3(F(g(g(g(g(g(y0))))), g(g(g(g(y1)))), g(g(g(g(g(y2))))))) F(g(g(g(g(0)))), g(g(g(g(1)))), g(g(g(g(g(g(y0))))))) -> c3(F(g(g(g(g(0)))), g(g(g(g(1)))), g(g(g(g(g(y0))))))) F(g(g(g(g(y0)))), g(g(g(g(y1)))), g(g(g(g(g(g(g(y2)))))))) -> c3(F(g(g(g(g(y0)))), g(g(g(g(y1)))), g(g(g(g(g(g(y2)))))))) F(g(g(0)), g(g(g(1))), g(g(g(g(g(g(g(g(y0))))))))) -> c3(F(g(g(0)), g(g(g(1))), g(g(g(g(g(g(g(y0))))))))) F(g(g(y0)), g(g(g(g(g(y1))))), g(g(g(g(g(g(g(y2)))))))) -> c3(F(g(g(y0)), g(g(g(g(g(y1))))), g(g(g(g(g(g(y2)))))))) F(g(g(0)), g(g(g(g(g(1))))), g(g(g(g(g(g(y0))))))) -> c3(F(g(g(0)), g(g(g(g(g(1))))), g(g(g(g(g(y0))))))) F(g(g(g(0))), g(g(g(g(g(1))))), g(g(g(g(g(g(y0))))))) -> c3(F(g(g(g(0))), g(g(g(g(g(1))))), g(g(g(g(g(y0))))))) F(g(g(g(y0))), g(g(g(g(g(y1))))), g(g(g(g(g(g(g(y2)))))))) -> c3(F(g(g(g(y0))), g(g(g(g(g(y1))))), g(g(g(g(g(g(y2)))))))) F(g(g(g(g(g(y0))))), g(g(g(g(g(y1))))), g(g(g(g(g(g(y2))))))) -> c3(F(g(g(g(g(g(y0))))), g(g(g(g(g(y1))))), g(g(g(g(g(y2))))))) F(g(g(g(g(0)))), g(g(g(g(g(1))))), g(g(g(g(g(g(y0))))))) -> c3(F(g(g(g(g(0)))), g(g(g(g(g(1))))), g(g(g(g(g(y0))))))) F(g(g(g(g(y0)))), g(g(g(g(g(y1))))), g(g(g(g(g(g(g(y2)))))))) -> c3(F(g(g(g(g(y0)))), g(g(g(g(g(y1))))), g(g(g(g(g(g(y2)))))))) F(g(g(0)), g(g(g(g(1)))), g(g(g(g(g(g(g(g(y0))))))))) -> c3(F(g(g(0)), g(g(g(g(1)))), g(g(g(g(g(g(g(y0))))))))) F(g(g(y0)), g(g(g(g(g(g(g(y1))))))), g(g(g(g(g(g(y2))))))) -> c3(F(g(g(y0)), g(g(g(g(g(g(g(y1))))))), g(g(g(g(g(y2))))))) F(g(g(y0)), g(g(g(g(g(g(y1)))))), g(g(g(g(g(g(g(y2)))))))) -> c3(F(g(g(y0)), g(g(g(g(g(g(y1)))))), g(g(g(g(g(g(y2)))))))) F(g(g(0)), g(g(g(g(g(g(1)))))), g(g(g(g(g(g(y0))))))) -> c3(F(g(g(0)), g(g(g(g(g(g(1)))))), g(g(g(g(g(y0))))))) F(g(g(g(y0))), g(g(g(g(g(g(g(y1))))))), g(g(g(g(g(g(y2))))))) -> c3(F(g(g(g(y0))), g(g(g(g(g(g(g(y1))))))), g(g(g(g(g(y2))))))) F(g(g(g(0))), g(g(g(g(g(g(1)))))), g(g(g(g(g(g(y0))))))) -> c3(F(g(g(g(0))), g(g(g(g(g(g(1)))))), g(g(g(g(g(y0))))))) F(g(g(g(y0))), g(g(g(g(g(g(y1)))))), g(g(g(g(g(g(g(y2)))))))) -> c3(F(g(g(g(y0))), g(g(g(g(g(g(y1)))))), g(g(g(g(g(g(y2)))))))) F(g(g(g(g(g(y0))))), g(g(g(g(g(g(y1)))))), g(g(g(g(g(g(y2))))))) -> c3(F(g(g(g(g(g(y0))))), g(g(g(g(g(g(y1)))))), g(g(g(g(g(y2))))))) F(g(g(g(g(y0)))), g(g(g(g(g(g(g(y1))))))), g(g(g(g(g(g(y2))))))) -> c3(F(g(g(g(g(y0)))), g(g(g(g(g(g(g(y1))))))), g(g(g(g(g(y2))))))) F(g(g(g(g(0)))), g(g(g(g(g(g(1)))))), g(g(g(g(g(g(y0))))))) -> c3(F(g(g(g(g(0)))), g(g(g(g(g(g(1)))))), g(g(g(g(g(y0))))))) F(g(g(g(g(y0)))), g(g(g(g(g(g(y1)))))), g(g(g(g(g(g(g(y2)))))))) -> c3(F(g(g(g(g(y0)))), g(g(g(g(g(g(y1)))))), g(g(g(g(g(g(y2)))))))) S tuples: F(g(g(0)), 1, z2) -> c1(F(g(0), 1, z2)) F(g(g(g(y0))), z1, z2) -> c1(F(g(g(y0)), z1, z2)) F(g(g(z0)), g(y1), z2) -> c1(F(g(z0), g(y1), z2)) F(g(g(z0)), z1, g(y2)) -> c1(F(g(z0), z1, g(y2))) F(g(g(z0)), g(g(y1)), z2) -> c1(F(g(z0), g(g(y1)), z2)) F(g(g(z0)), g(y1), g(y2)) -> c1(F(g(z0), g(y1), g(y2))) F(g(g(0)), g(1), z2) -> c1(F(g(0), g(1), z2)) F(g(g(g(y0))), g(y1), z2) -> c1(F(g(g(y0)), g(y1), z2)) F(g(g(z0)), z1, g(g(y2))) -> c1(F(g(z0), z1, g(g(y2)))) F(g(g(0)), 1, g(y0)) -> c1(F(g(0), 1, g(y0))) F(g(g(g(y0))), z1, g(y2)) -> c1(F(g(g(y0)), z1, g(y2))) F(g(g(z0)), g(g(y1)), g(y2)) -> c1(F(g(z0), g(g(y1)), g(y2))) F(g(g(z0)), g(y1), g(g(y2))) -> c1(F(g(z0), g(y1), g(g(y2)))) F(g(g(0)), g(1), g(y0)) -> c1(F(g(0), g(1), g(y0))) F(g(g(g(y0))), g(y1), g(y2)) -> c1(F(g(g(y0)), g(y1), g(y2))) F(g(0), g(1), z2) -> c1(F(0, g(1), z2)) F(g(z0), g(g(y1)), z2) -> c1(F(z0, g(g(y1)), z2)) F(g(z0), g(z1), g(y2)) -> c1(F(z0, g(z1), g(y2))) F(g(z0), g(z1), g(g(y2))) -> c1(F(z0, g(z1), g(g(y2)))) F(g(0), g(1), g(y0)) -> c1(F(0, g(1), g(y0))) F(g(z0), g(g(y1)), g(y2)) -> c1(F(z0, g(g(y1)), g(y2))) F(g(g(g(g(y0)))), g(z1), z2) -> c1(F(g(g(g(y0))), g(z1), z2)) F(g(g(g(y0))), g(g(y1)), z2) -> c1(F(g(g(y0)), g(g(y1)), z2)) F(g(g(g(0))), g(1), z2) -> c1(F(g(g(0)), g(1), z2)) F(g(g(g(y0))), g(z1), g(g(y2))) -> c1(F(g(g(y0)), g(z1), g(g(y2)))) F(g(g(g(g(y0)))), g(z1), g(y2)) -> c1(F(g(g(g(y0))), g(z1), g(y2))) F(g(g(g(y0))), g(g(y1)), g(y2)) -> c1(F(g(g(y0)), g(g(y1)), g(y2))) F(g(g(g(0))), g(1), g(y0)) -> c1(F(g(g(0)), g(1), g(y0))) F(0, 1, g(y2)) -> c(F(g(g(y2)), g(g(y2)), g(y2))) F(0, 1, g(g(y2))) -> c(F(g(g(g(y2))), g(g(g(y2))), g(g(y2)))) F(0, 1, g(g(g(y0)))) -> c(F(g(g(g(g(y0)))), g(g(g(g(y0)))), g(g(g(y0))))) F(g(0), 1, g(y0)) -> c1(F(0, 1, g(y0))) F(g(0), 1, g(g(y2))) -> c1(F(0, 1, g(g(y2)))) F(g(0), 1, g(g(g(y0)))) -> c1(F(0, 1, g(g(g(y0))))) F(g(z0), z1, g(g(y2))) -> c1(F(z0, z1, g(g(y2)))) F(g(g(g(0))), 1, g(z2)) -> c1(F(g(g(0)), 1, g(z2))) F(g(g(g(g(y0)))), z1, g(z2)) -> c1(F(g(g(g(y0))), z1, g(z2))) F(g(g(g(y0))), z1, g(g(y2))) -> c1(F(g(g(y0)), z1, g(g(y2)))) F(g(g(g(g(g(y0))))), g(y1), g(z2)) -> c1(F(g(g(g(g(y0)))), g(y1), g(z2))) F(g(g(g(g(y0)))), g(g(y1)), g(z2)) -> c1(F(g(g(g(y0))), g(g(y1)), g(z2))) F(g(g(g(g(0)))), g(1), g(z2)) -> c1(F(g(g(g(0))), g(1), g(z2))) F(g(g(g(g(y0)))), g(y1), g(g(y2))) -> c1(F(g(g(g(y0))), g(y1), g(g(y2)))) F(g(g(0)), 1, g(g(y0))) -> c1(F(g(0), 1, g(g(y0)))) F(g(g(0)), 1, g(g(g(y0)))) -> c1(F(g(0), 1, g(g(g(y0))))) F(0, g(1), g(y0)) -> c2(F(0, 1, g(y0))) F(0, g(1), g(g(y2))) -> c2(F(0, 1, g(g(y2)))) F(0, g(1), g(g(g(y0)))) -> c2(F(0, 1, g(g(g(y0))))) F(z0, g(g(g(y1))), z2) -> c2(F(z0, g(g(y1)), z2)) F(z0, g(g(z1)), g(y2)) -> c2(F(z0, g(z1), g(y2))) F(g(0), g(g(1)), z2) -> c2(F(g(0), g(1), z2)) F(g(g(y0)), g(g(z1)), z2) -> c2(F(g(g(y0)), g(z1), z2)) F(g(y0), g(g(g(y1))), z2) -> c2(F(g(y0), g(g(y1)), z2)) F(g(y0), g(g(z1)), g(y2)) -> c2(F(g(y0), g(z1), g(y2))) F(z0, g(g(z1)), g(g(y2))) -> c2(F(z0, g(z1), g(g(y2)))) F(g(g(y0)), g(g(z1)), g(y2)) -> c2(F(g(g(y0)), g(z1), g(y2))) F(g(y0), g(g(z1)), g(g(y2))) -> c2(F(g(y0), g(z1), g(g(y2)))) F(0, g(g(1)), g(y0)) -> c2(F(0, g(1), g(y0))) F(z0, g(g(g(y1))), g(y2)) -> c2(F(z0, g(g(y1)), g(y2))) F(g(0), g(g(1)), g(y0)) -> c2(F(g(0), g(1), g(y0))) F(g(y0), g(g(g(y1))), g(y2)) -> c2(F(g(y0), g(g(y1)), g(y2))) F(g(g(g(y0))), g(g(z1)), z2) -> c2(F(g(g(g(y0))), g(z1), z2)) F(g(g(y0)), g(g(g(y1))), z2) -> c2(F(g(g(y0)), g(g(y1)), z2)) F(g(g(0)), g(g(1)), z2) -> c2(F(g(g(0)), g(1), z2)) F(g(g(y0)), g(g(z1)), g(g(y2))) -> c2(F(g(g(y0)), g(z1), g(g(y2)))) F(g(g(g(y0))), g(g(z1)), g(y2)) -> c2(F(g(g(g(y0))), g(z1), g(y2))) F(g(g(y0)), g(g(g(y1))), g(y2)) -> c2(F(g(g(y0)), g(g(y1)), g(y2))) F(g(g(0)), g(g(1)), g(y0)) -> c2(F(g(g(0)), g(1), g(y0))) F(g(g(g(g(y0)))), g(g(z1)), z2) -> c2(F(g(g(g(g(y0)))), g(z1), z2)) F(g(g(g(y0))), g(g(g(y1))), z2) -> c2(F(g(g(g(y0))), g(g(y1)), z2)) F(g(g(g(0))), g(g(1)), z2) -> c2(F(g(g(g(0))), g(1), z2)) F(g(g(g(y0))), g(g(z1)), g(g(y2))) -> c2(F(g(g(g(y0))), g(z1), g(g(y2)))) F(g(g(g(g(y0)))), g(g(z1)), g(y2)) -> c2(F(g(g(g(g(y0)))), g(z1), g(y2))) F(g(g(g(y0))), g(g(g(y1))), g(y2)) -> c2(F(g(g(g(y0))), g(g(y1)), g(y2))) F(g(g(g(0))), g(g(1)), g(y0)) -> c2(F(g(g(g(0))), g(1), g(y0))) F(g(g(g(g(g(y0))))), g(g(z1)), g(y2)) -> c2(F(g(g(g(g(g(y0))))), g(z1), g(y2))) F(g(g(g(g(y0)))), g(g(g(y1))), g(y2)) -> c2(F(g(g(g(g(y0)))), g(g(y1)), g(y2))) F(g(g(g(g(0)))), g(g(1)), g(y0)) -> c2(F(g(g(g(g(0)))), g(1), g(y0))) F(g(g(g(g(y0)))), g(g(z1)), g(g(y2))) -> c2(F(g(g(g(g(y0)))), g(z1), g(g(y2)))) F(0, g(g(1)), g(g(y0))) -> c2(F(0, g(1), g(g(y0)))) F(0, g(g(1)), g(g(g(y0)))) -> c2(F(0, g(1), g(g(g(y0))))) F(z0, g(z1), g(g(y2))) -> c2(F(z0, z1, g(g(y2)))) F(g(0), g(1), g(z2)) -> c2(F(g(0), 1, g(z2))) F(g(g(y0)), g(z1), g(z2)) -> c2(F(g(g(y0)), z1, g(z2))) F(g(y0), g(z1), g(g(y2))) -> c2(F(g(y0), z1, g(g(y2)))) F(g(g(0)), g(1), g(z2)) -> c2(F(g(g(0)), 1, g(z2))) F(g(g(g(y0))), g(z1), g(z2)) -> c2(F(g(g(g(y0))), z1, g(z2))) F(g(g(y0)), g(z1), g(g(y2))) -> c2(F(g(g(y0)), z1, g(g(y2)))) F(g(0), g(1), g(g(y0))) -> c2(F(g(0), 1, g(g(y0)))) F(g(0), g(1), g(g(g(y0)))) -> c2(F(g(0), 1, g(g(g(y0))))) F(g(g(g(0))), g(1), g(z2)) -> c2(F(g(g(g(0))), 1, g(z2))) F(g(g(g(g(y0)))), g(z1), g(z2)) -> c2(F(g(g(g(g(y0)))), z1, g(z2))) F(g(g(g(y0))), g(z1), g(g(y2))) -> c2(F(g(g(g(y0))), z1, g(g(y2)))) F(g(g(0)), g(1), g(g(y0))) -> c2(F(g(g(0)), 1, g(g(y0)))) F(g(g(0)), g(1), g(g(g(y0)))) -> c2(F(g(g(0)), 1, g(g(g(y0))))) F(z0, g(g(g(g(y1)))), g(z2)) -> c2(F(z0, g(g(g(y1))), g(z2))) F(g(0), g(g(g(1))), g(z2)) -> c2(F(g(0), g(g(1)), g(z2))) F(g(y0), g(g(g(g(y1)))), g(z2)) -> c2(F(g(y0), g(g(g(y1))), g(z2))) F(z0, g(g(g(y1))), g(g(y2))) -> c2(F(z0, g(g(y1)), g(g(y2)))) F(g(y0), g(g(g(y1))), g(g(y2))) -> c2(F(g(y0), g(g(y1)), g(g(y2)))) F(0, g(g(g(1))), g(z2)) -> c2(F(0, g(g(1)), g(z2))) F(g(g(y0)), g(g(g(g(y1)))), g(z2)) -> c2(F(g(g(y0)), g(g(g(y1))), g(z2))) F(g(g(0)), g(g(g(1))), g(z2)) -> c2(F(g(g(0)), g(g(1)), g(z2))) F(g(g(y0)), g(g(g(y1))), g(g(y2))) -> c2(F(g(g(y0)), g(g(y1)), g(g(y2)))) F(g(g(g(y0))), g(g(g(g(y1)))), g(z2)) -> c2(F(g(g(g(y0))), g(g(g(y1))), g(z2))) F(g(g(g(0))), g(g(g(1))), g(z2)) -> c2(F(g(g(g(0))), g(g(1)), g(z2))) F(g(g(g(y0))), g(g(g(y1))), g(g(y2))) -> c2(F(g(g(g(y0))), g(g(y1)), g(g(y2)))) F(g(g(g(g(g(y0))))), g(g(g(y1))), g(z2)) -> c2(F(g(g(g(g(g(y0))))), g(g(y1)), g(z2))) F(g(g(g(g(y0)))), g(g(g(g(y1)))), g(z2)) -> c2(F(g(g(g(g(y0)))), g(g(g(y1))), g(z2))) F(g(g(g(g(0)))), g(g(g(1))), g(z2)) -> c2(F(g(g(g(g(0)))), g(g(1)), g(z2))) F(g(g(g(g(y0)))), g(g(g(y1))), g(g(y2))) -> c2(F(g(g(g(g(y0)))), g(g(y1)), g(g(y2)))) F(0, g(g(g(1))), g(g(y0))) -> c2(F(0, g(g(1)), g(g(y0)))) F(0, g(g(g(1))), g(g(g(y0)))) -> c2(F(0, g(g(1)), g(g(g(y0))))) F(g(g(0)), g(1), z2) -> c2(F(g(g(0)), 1, z2)) F(g(g(g(y0))), g(z1), z2) -> c2(F(g(g(g(y0))), z1, z2)) F(g(g(z0)), g(g(g(g(y1)))), z2) -> c2(F(g(g(z0)), g(g(g(y1))), z2)) F(g(g(0)), g(g(g(1))), z2) -> c2(F(g(g(0)), g(g(1)), z2)) F(g(g(g(g(y0)))), g(g(g(y1))), z2) -> c2(F(g(g(g(g(y0)))), g(g(y1)), z2)) F(g(g(g(y0))), g(g(g(g(y1)))), z2) -> c2(F(g(g(g(y0))), g(g(g(y1))), z2)) F(g(g(g(0))), g(g(g(1))), z2) -> c2(F(g(g(g(0))), g(g(1)), z2)) F(g(g(0)), g(g(1)), g(g(y0))) -> c2(F(g(g(0)), g(1), g(g(y0)))) F(g(g(0)), g(g(1)), g(g(g(y0)))) -> c2(F(g(g(0)), g(1), g(g(g(y0))))) F(g(g(z0)), g(g(g(g(g(y1))))), g(y2)) -> c2(F(g(g(z0)), g(g(g(g(y1)))), g(y2))) F(g(g(z0)), g(g(g(g(y1)))), g(g(y2))) -> c2(F(g(g(z0)), g(g(g(y1))), g(g(y2)))) F(g(g(0)), g(g(g(g(1)))), g(y0)) -> c2(F(g(g(0)), g(g(g(1))), g(y0))) F(g(g(g(y0))), g(g(g(g(g(y1))))), g(y2)) -> c2(F(g(g(g(y0))), g(g(g(g(y1)))), g(y2))) F(g(g(g(0))), g(g(g(g(1)))), g(y0)) -> c2(F(g(g(g(0))), g(g(g(1))), g(y0))) F(g(g(g(y0))), g(g(g(g(y1)))), g(g(y2))) -> c2(F(g(g(g(y0))), g(g(g(y1))), g(g(y2)))) F(g(g(g(g(g(y0))))), g(g(g(g(y1)))), g(y2)) -> c2(F(g(g(g(g(g(y0))))), g(g(g(y1))), g(y2))) F(g(g(g(g(y0)))), g(g(g(g(g(y1))))), g(y2)) -> c2(F(g(g(g(g(y0)))), g(g(g(g(y1)))), g(y2))) F(g(g(g(g(0)))), g(g(g(g(1)))), g(y0)) -> c2(F(g(g(g(g(0)))), g(g(g(1))), g(y0))) F(g(g(g(g(y0)))), g(g(g(g(y1)))), g(g(y2))) -> c2(F(g(g(g(g(y0)))), g(g(g(y1))), g(g(y2)))) F(g(z0), g(g(g(g(y1)))), z2) -> c2(F(g(z0), g(g(g(y1))), z2)) F(g(0), g(g(g(1))), z2) -> c2(F(g(0), g(g(1)), z2)) F(g(0), g(g(1)), g(g(y0))) -> c2(F(g(0), g(1), g(g(y0)))) F(g(0), g(g(1)), g(g(g(y0)))) -> c2(F(g(0), g(1), g(g(g(y0))))) F(g(z0), g(g(g(g(g(y1))))), g(y2)) -> c2(F(g(z0), g(g(g(g(y1)))), g(y2))) F(g(0), g(g(g(g(1)))), g(y0)) -> c2(F(g(0), g(g(g(1))), g(y0))) F(g(z0), g(g(g(g(y1)))), g(g(y2))) -> c2(F(g(z0), g(g(g(y1))), g(g(y2)))) F(g(g(y0)), g(g(g(g(g(y1))))), z2) -> c2(F(g(g(y0)), g(g(g(g(y1)))), z2)) F(g(g(0)), g(g(g(g(1)))), z2) -> c2(F(g(g(0)), g(g(g(1))), z2)) F(g(g(g(g(y0)))), g(g(g(g(y1)))), z2) -> c2(F(g(g(g(g(y0)))), g(g(g(y1))), z2)) F(g(g(g(y0))), g(g(g(g(g(y1))))), z2) -> c2(F(g(g(g(y0))), g(g(g(g(y1)))), z2)) F(g(g(g(0))), g(g(g(g(1)))), z2) -> c2(F(g(g(g(0))), g(g(g(1))), z2)) F(g(g(0)), g(g(g(1))), g(g(y0))) -> c2(F(g(g(0)), g(g(1)), g(g(y0)))) F(g(g(0)), g(g(g(1))), g(g(g(y0)))) -> c2(F(g(g(0)), g(g(1)), g(g(g(y0))))) F(g(g(y0)), g(g(g(g(g(g(y1)))))), g(y2)) -> c2(F(g(g(y0)), g(g(g(g(g(y1))))), g(y2))) F(g(g(y0)), g(g(g(g(g(y1))))), g(g(y2))) -> c2(F(g(g(y0)), g(g(g(g(y1)))), g(g(y2)))) F(g(g(0)), g(g(g(g(g(1))))), g(y0)) -> c2(F(g(g(0)), g(g(g(g(1)))), g(y0))) F(g(g(g(y0))), g(g(g(g(g(g(y1)))))), g(y2)) -> c2(F(g(g(g(y0))), g(g(g(g(g(y1))))), g(y2))) F(g(g(g(0))), g(g(g(g(g(1))))), g(y0)) -> c2(F(g(g(g(0))), g(g(g(g(1)))), g(y0))) F(g(g(g(y0))), g(g(g(g(g(y1))))), g(g(y2))) -> c2(F(g(g(g(y0))), g(g(g(g(y1)))), g(g(y2)))) F(g(g(g(g(g(y0))))), g(g(g(g(g(y1))))), g(y2)) -> c2(F(g(g(g(g(g(y0))))), g(g(g(g(y1)))), g(y2))) F(g(g(g(g(y0)))), g(g(g(g(g(g(y1)))))), g(y2)) -> c2(F(g(g(g(g(y0)))), g(g(g(g(g(y1))))), g(y2))) F(g(g(g(g(0)))), g(g(g(g(g(1))))), g(y0)) -> c2(F(g(g(g(g(0)))), g(g(g(g(1)))), g(y0))) F(g(g(g(g(y0)))), g(g(g(g(g(y1))))), g(g(y2))) -> c2(F(g(g(g(g(y0)))), g(g(g(g(y1)))), g(g(y2)))) F(g(0), g(g(g(1))), g(g(y0))) -> c2(F(g(0), g(g(1)), g(g(y0)))) F(g(0), g(g(g(1))), g(g(g(y0)))) -> c2(F(g(0), g(g(1)), g(g(g(y0))))) F(g(z0), g(g(g(g(g(g(y1)))))), g(z2)) -> c2(F(g(z0), g(g(g(g(g(y1))))), g(z2))) F(g(0), g(g(g(g(g(1))))), g(z2)) -> c2(F(g(0), g(g(g(g(1)))), g(z2))) F(g(z0), g(g(g(g(g(y1))))), g(g(y2))) -> c2(F(g(z0), g(g(g(g(y1)))), g(g(y2)))) F(g(g(0)), g(g(g(g(1)))), g(g(y0))) -> c2(F(g(g(0)), g(g(g(1))), g(g(y0)))) F(g(g(0)), g(g(g(g(1)))), g(g(g(y0)))) -> c2(F(g(g(0)), g(g(g(1))), g(g(g(y0))))) F(g(g(y0)), g(g(g(g(g(g(g(y1))))))), g(z2)) -> c2(F(g(g(y0)), g(g(g(g(g(g(y1)))))), g(z2))) F(g(g(y0)), g(g(g(g(g(g(y1)))))), g(g(y2))) -> c2(F(g(g(y0)), g(g(g(g(g(y1))))), g(g(y2)))) F(g(g(0)), g(g(g(g(g(g(1)))))), g(z2)) -> c2(F(g(g(0)), g(g(g(g(g(1))))), g(z2))) F(g(g(g(y0))), g(g(g(g(g(g(g(y1))))))), g(z2)) -> c2(F(g(g(g(y0))), g(g(g(g(g(g(y1)))))), g(z2))) F(g(g(g(0))), g(g(g(g(g(g(1)))))), g(z2)) -> c2(F(g(g(g(0))), g(g(g(g(g(1))))), g(z2))) F(g(g(g(y0))), g(g(g(g(g(g(y1)))))), g(g(y2))) -> c2(F(g(g(g(y0))), g(g(g(g(g(y1))))), g(g(y2)))) F(g(g(g(g(g(y0))))), g(g(g(g(g(g(y1)))))), g(z2)) -> c2(F(g(g(g(g(g(y0))))), g(g(g(g(g(y1))))), g(z2))) F(g(g(g(g(y0)))), g(g(g(g(g(g(g(y1))))))), g(z2)) -> c2(F(g(g(g(g(y0)))), g(g(g(g(g(g(y1)))))), g(z2))) F(g(g(g(g(0)))), g(g(g(g(g(g(1)))))), g(z2)) -> c2(F(g(g(g(g(0)))), g(g(g(g(g(1))))), g(z2))) F(g(g(g(g(y0)))), g(g(g(g(g(g(y1)))))), g(g(y2))) -> c2(F(g(g(g(g(y0)))), g(g(g(g(g(y1))))), g(g(y2)))) K tuples: F(z0, g(y1), g(g(y2))) -> c3(F(z0, g(y1), g(y2))) F(g(0), g(1), g(z2)) -> c3(F(g(0), g(1), z2)) F(g(g(y0)), g(y1), g(z2)) -> c3(F(g(g(y0)), g(y1), z2)) F(g(y0), g(g(y1)), g(z2)) -> c3(F(g(y0), g(g(y1)), z2)) F(g(y0), g(y1), g(g(y2))) -> c3(F(g(y0), g(y1), g(y2))) F(0, 1, g(g(y0))) -> c3(F(0, 1, g(y0))) F(0, 1, g(g(g(y2)))) -> c3(F(0, 1, g(g(y2)))) F(0, 1, g(g(g(g(y0))))) -> c3(F(0, 1, g(g(g(y0))))) F(z0, z1, g(g(g(y2)))) -> c3(F(z0, z1, g(g(y2)))) F(g(0), 1, g(g(z2))) -> c3(F(g(0), 1, g(z2))) F(g(g(y0)), z1, g(g(z2))) -> c3(F(g(g(y0)), z1, g(z2))) F(g(y0), z1, g(g(g(y2)))) -> c3(F(g(y0), z1, g(g(y2)))) F(0, g(1), g(g(z2))) -> c3(F(0, g(1), g(z2))) F(z0, g(g(y1)), g(g(z2))) -> c3(F(z0, g(g(y1)), g(z2))) F(z0, g(y1), g(g(g(y2)))) -> c3(F(z0, g(y1), g(g(y2)))) F(g(0), g(1), g(g(z2))) -> c3(F(g(0), g(1), g(z2))) F(g(g(y0)), g(y1), g(g(z2))) -> c3(F(g(g(y0)), g(y1), g(z2))) F(g(y0), g(g(y1)), g(g(z2))) -> c3(F(g(y0), g(g(y1)), g(z2))) F(g(y0), g(y1), g(g(g(y2)))) -> c3(F(g(y0), g(y1), g(g(y2)))) F(g(g(0)), 1, g(g(z2))) -> c3(F(g(g(0)), 1, g(z2))) F(g(g(g(y0))), z1, g(g(z2))) -> c3(F(g(g(g(y0))), z1, g(z2))) F(g(g(y0)), g(g(y1)), g(g(z2))) -> c3(F(g(g(y0)), g(g(y1)), g(z2))) F(g(g(0)), g(1), g(g(z2))) -> c3(F(g(g(0)), g(1), g(z2))) F(g(g(g(y0))), g(y1), g(g(z2))) -> c3(F(g(g(g(y0))), g(y1), g(z2))) F(g(g(y0)), z1, g(g(g(y2)))) -> c3(F(g(g(y0)), z1, g(g(y2)))) F(g(g(y0)), g(y1), g(g(g(y2)))) -> c3(F(g(g(y0)), g(y1), g(g(y2)))) F(g(g(g(g(y0)))), g(y1), g(g(z2))) -> c3(F(g(g(g(g(y0)))), g(y1), g(z2))) F(g(g(g(y0))), g(g(y1)), g(g(z2))) -> c3(F(g(g(g(y0))), g(g(y1)), g(z2))) F(g(g(g(0))), g(1), g(g(z2))) -> c3(F(g(g(g(0))), g(1), g(z2))) F(g(g(g(y0))), g(y1), g(g(g(y2)))) -> c3(F(g(g(g(y0))), g(y1), g(g(y2)))) F(g(0), 1, g(g(g(y0)))) -> c3(F(g(0), 1, g(g(y0)))) F(g(0), 1, g(g(g(g(y0))))) -> c3(F(g(0), 1, g(g(g(y0))))) F(g(g(g(0))), 1, g(g(z2))) -> c3(F(g(g(g(0))), 1, g(z2))) F(g(g(g(g(y0)))), z1, g(g(z2))) -> c3(F(g(g(g(g(y0)))), z1, g(z2))) F(g(g(g(y0))), z1, g(g(g(y2)))) -> c3(F(g(g(g(y0))), z1, g(g(y2)))) F(g(g(g(g(g(y0))))), g(y1), g(g(z2))) -> c3(F(g(g(g(g(g(y0))))), g(y1), g(z2))) F(g(g(g(g(y0)))), g(g(y1)), g(g(z2))) -> c3(F(g(g(g(g(y0)))), g(g(y1)), g(z2))) F(g(g(g(g(0)))), g(1), g(g(z2))) -> c3(F(g(g(g(g(0)))), g(1), g(z2))) F(g(g(g(g(y0)))), g(y1), g(g(g(y2)))) -> c3(F(g(g(g(g(y0)))), g(y1), g(g(y2)))) F(g(g(0)), 1, g(g(g(y0)))) -> c3(F(g(g(0)), 1, g(g(y0)))) F(g(g(0)), 1, g(g(g(g(y0))))) -> c3(F(g(g(0)), 1, g(g(g(y0))))) F(0, g(1), g(g(g(y0)))) -> c3(F(0, g(1), g(g(y0)))) F(0, g(1), g(g(g(g(y0))))) -> c3(F(0, g(1), g(g(g(y0))))) F(z0, g(g(g(y1))), g(g(z2))) -> c3(F(z0, g(g(g(y1))), g(z2))) F(g(0), g(g(1)), g(g(z2))) -> c3(F(g(0), g(g(1)), g(z2))) F(g(y0), g(g(g(y1))), g(g(z2))) -> c3(F(g(y0), g(g(g(y1))), g(z2))) F(z0, g(g(y1)), g(g(g(y2)))) -> c3(F(z0, g(g(y1)), g(g(y2)))) F(g(y0), g(g(y1)), g(g(g(y2)))) -> c3(F(g(y0), g(g(y1)), g(g(y2)))) F(0, g(g(1)), g(g(z2))) -> c3(F(0, g(g(1)), g(z2))) F(g(g(y0)), g(g(g(y1))), g(g(z2))) -> c3(F(g(g(y0)), g(g(g(y1))), g(z2))) F(g(g(0)), g(g(1)), g(g(z2))) -> c3(F(g(g(0)), g(g(1)), g(z2))) F(g(g(y0)), g(g(y1)), g(g(g(y2)))) -> c3(F(g(g(y0)), g(g(y1)), g(g(y2)))) F(g(g(g(y0))), g(g(g(y1))), g(g(z2))) -> c3(F(g(g(g(y0))), g(g(g(y1))), g(z2))) F(g(g(g(0))), g(g(1)), g(g(z2))) -> c3(F(g(g(g(0))), g(g(1)), g(z2))) F(g(g(g(y0))), g(g(y1)), g(g(g(y2)))) -> c3(F(g(g(g(y0))), g(g(y1)), g(g(y2)))) F(g(g(g(g(g(y0))))), g(g(y1)), g(g(z2))) -> c3(F(g(g(g(g(g(y0))))), g(g(y1)), g(z2))) F(g(g(g(g(y0)))), g(g(g(y1))), g(g(z2))) -> c3(F(g(g(g(g(y0)))), g(g(g(y1))), g(z2))) F(g(g(g(g(0)))), g(g(1)), g(g(z2))) -> c3(F(g(g(g(g(0)))), g(g(1)), g(z2))) F(g(g(g(g(y0)))), g(g(y1)), g(g(g(y2)))) -> c3(F(g(g(g(g(y0)))), g(g(y1)), g(g(y2)))) F(0, g(g(1)), g(g(g(y0)))) -> c3(F(0, g(g(1)), g(g(y0)))) F(0, g(g(1)), g(g(g(g(y0))))) -> c3(F(0, g(g(1)), g(g(g(y0))))) F(g(0), g(1), g(g(g(y0)))) -> c3(F(g(0), g(1), g(g(y0)))) F(g(0), g(1), g(g(g(g(y0))))) -> c3(F(g(0), g(1), g(g(g(y0))))) F(g(g(0)), g(1), g(g(g(y0)))) -> c3(F(g(g(0)), g(1), g(g(y0)))) F(g(g(0)), g(1), g(g(g(g(y0))))) -> c3(F(g(g(0)), g(1), g(g(g(y0))))) F(z0, g(g(g(g(y1)))), g(g(z2))) -> c3(F(z0, g(g(g(g(y1)))), g(z2))) F(g(0), g(g(g(1))), g(g(z2))) -> c3(F(g(0), g(g(g(1))), g(z2))) F(g(y0), g(g(g(g(y1)))), g(g(z2))) -> c3(F(g(y0), g(g(g(g(y1)))), g(z2))) F(z0, g(g(g(y1))), g(g(g(y2)))) -> c3(F(z0, g(g(g(y1))), g(g(y2)))) F(g(y0), g(g(g(y1))), g(g(g(y2)))) -> c3(F(g(y0), g(g(g(y1))), g(g(y2)))) F(0, g(g(g(1))), g(g(z2))) -> c3(F(0, g(g(g(1))), g(z2))) F(g(g(y0)), g(g(g(g(y1)))), g(g(z2))) -> c3(F(g(g(y0)), g(g(g(g(y1)))), g(z2))) F(g(g(0)), g(g(g(1))), g(g(z2))) -> c3(F(g(g(0)), g(g(g(1))), g(z2))) F(g(g(y0)), g(g(g(y1))), g(g(g(y2)))) -> c3(F(g(g(y0)), g(g(g(y1))), g(g(y2)))) F(g(g(g(y0))), g(g(g(g(y1)))), g(g(z2))) -> c3(F(g(g(g(y0))), g(g(g(g(y1)))), g(z2))) F(g(g(g(0))), g(g(g(1))), g(g(z2))) -> c3(F(g(g(g(0))), g(g(g(1))), g(z2))) F(g(g(g(y0))), g(g(g(y1))), g(g(g(y2)))) -> c3(F(g(g(g(y0))), g(g(g(y1))), g(g(y2)))) F(g(g(g(g(g(y0))))), g(g(g(y1))), g(g(z2))) -> c3(F(g(g(g(g(g(y0))))), g(g(g(y1))), g(z2))) F(g(g(g(g(y0)))), g(g(g(g(y1)))), g(g(z2))) -> c3(F(g(g(g(g(y0)))), g(g(g(g(y1)))), g(z2))) F(g(g(g(g(0)))), g(g(g(1))), g(g(z2))) -> c3(F(g(g(g(g(0)))), g(g(g(1))), g(z2))) F(g(g(g(g(y0)))), g(g(g(y1))), g(g(g(y2)))) -> c3(F(g(g(g(g(y0)))), g(g(g(y1))), g(g(y2)))) F(0, g(g(g(1))), g(g(g(y0)))) -> c3(F(0, g(g(g(1))), g(g(y0)))) F(0, g(g(g(1))), g(g(g(g(y0))))) -> c3(F(0, g(g(g(1))), g(g(g(y0))))) F(g(g(0)), g(g(1)), g(g(g(y0)))) -> c3(F(g(g(0)), g(g(1)), g(g(y0)))) F(g(g(0)), g(g(1)), g(g(g(g(y0))))) -> c3(F(g(g(0)), g(g(1)), g(g(g(y0))))) F(g(g(y0)), g(g(g(g(g(y1))))), g(g(z2))) -> c3(F(g(g(y0)), g(g(g(g(g(y1))))), g(z2))) F(g(g(y0)), g(g(g(g(y1)))), g(g(g(y2)))) -> c3(F(g(g(y0)), g(g(g(g(y1)))), g(g(y2)))) F(g(g(0)), g(g(g(g(1)))), g(g(z2))) -> c3(F(g(g(0)), g(g(g(g(1)))), g(z2))) F(g(g(g(y0))), g(g(g(g(g(y1))))), g(g(z2))) -> c3(F(g(g(g(y0))), g(g(g(g(g(y1))))), g(z2))) F(g(g(g(0))), g(g(g(g(1)))), g(g(z2))) -> c3(F(g(g(g(0))), g(g(g(g(1)))), g(z2))) F(g(g(g(y0))), g(g(g(g(y1)))), g(g(g(y2)))) -> c3(F(g(g(g(y0))), g(g(g(g(y1)))), g(g(y2)))) F(g(g(g(g(g(y0))))), g(g(g(g(y1)))), g(g(z2))) -> c3(F(g(g(g(g(g(y0))))), g(g(g(g(y1)))), g(z2))) F(g(g(g(g(y0)))), g(g(g(g(g(y1))))), g(g(z2))) -> c3(F(g(g(g(g(y0)))), g(g(g(g(g(y1))))), g(z2))) F(g(g(g(g(0)))), g(g(g(g(1)))), g(g(z2))) -> c3(F(g(g(g(g(0)))), g(g(g(g(1)))), g(z2))) F(g(g(g(g(y0)))), g(g(g(g(y1)))), g(g(g(y2)))) -> c3(F(g(g(g(g(y0)))), g(g(g(g(y1)))), g(g(y2)))) F(g(0), g(g(1)), g(g(g(y0)))) -> c3(F(g(0), g(g(1)), g(g(y0)))) F(g(0), g(g(1)), g(g(g(g(y0))))) -> c3(F(g(0), g(g(1)), g(g(g(y0))))) F(g(y0), g(g(g(g(g(y1))))), g(g(z2))) -> c3(F(g(y0), g(g(g(g(g(y1))))), g(z2))) F(g(0), g(g(g(g(1)))), g(g(z2))) -> c3(F(g(0), g(g(g(g(1)))), g(z2))) F(g(y0), g(g(g(g(y1)))), g(g(g(y2)))) -> c3(F(g(y0), g(g(g(g(y1)))), g(g(y2)))) F(g(g(0)), g(g(g(1))), g(g(g(y0)))) -> c3(F(g(g(0)), g(g(g(1))), g(g(y0)))) F(g(g(0)), g(g(g(1))), g(g(g(g(y0))))) -> c3(F(g(g(0)), g(g(g(1))), g(g(g(y0))))) F(g(g(y0)), g(g(g(g(g(g(y1)))))), g(g(z2))) -> c3(F(g(g(y0)), g(g(g(g(g(g(y1)))))), g(z2))) F(g(g(y0)), g(g(g(g(g(y1))))), g(g(g(y2)))) -> c3(F(g(g(y0)), g(g(g(g(g(y1))))), g(g(y2)))) F(g(g(0)), g(g(g(g(g(1))))), g(g(z2))) -> c3(F(g(g(0)), g(g(g(g(g(1))))), g(z2))) F(g(g(g(y0))), g(g(g(g(g(g(y1)))))), g(g(z2))) -> c3(F(g(g(g(y0))), g(g(g(g(g(g(y1)))))), g(z2))) F(g(g(g(0))), g(g(g(g(g(1))))), g(g(z2))) -> c3(F(g(g(g(0))), g(g(g(g(g(1))))), g(z2))) F(g(g(g(y0))), g(g(g(g(g(y1))))), g(g(g(y2)))) -> c3(F(g(g(g(y0))), g(g(g(g(g(y1))))), g(g(y2)))) F(g(g(g(g(g(y0))))), g(g(g(g(g(y1))))), g(g(z2))) -> c3(F(g(g(g(g(g(y0))))), g(g(g(g(g(y1))))), g(z2))) F(g(g(g(g(y0)))), g(g(g(g(g(g(y1)))))), g(g(z2))) -> c3(F(g(g(g(g(y0)))), g(g(g(g(g(g(y1)))))), g(z2))) F(g(g(g(g(0)))), g(g(g(g(g(1))))), g(g(z2))) -> c3(F(g(g(g(g(0)))), g(g(g(g(g(1))))), g(z2))) F(g(g(g(g(y0)))), g(g(g(g(g(y1))))), g(g(g(y2)))) -> c3(F(g(g(g(g(y0)))), g(g(g(g(g(y1))))), g(g(y2)))) F(g(0), g(g(g(1))), g(g(g(y0)))) -> c3(F(g(0), g(g(g(1))), g(g(y0)))) F(g(0), g(g(g(1))), g(g(g(g(y0))))) -> c3(F(g(0), g(g(g(1))), g(g(g(y0))))) F(g(y0), g(g(g(g(g(g(y1)))))), g(g(z2))) -> c3(F(g(y0), g(g(g(g(g(g(y1)))))), g(z2))) F(g(0), g(g(g(g(g(1))))), g(g(z2))) -> c3(F(g(0), g(g(g(g(g(1))))), g(z2))) F(g(y0), g(g(g(g(g(y1))))), g(g(g(y2)))) -> c3(F(g(y0), g(g(g(g(g(y1))))), g(g(y2)))) F(g(g(0)), g(g(g(g(1)))), g(g(g(y0)))) -> c3(F(g(g(0)), g(g(g(g(1)))), g(g(y0)))) F(g(g(0)), g(g(g(g(1)))), g(g(g(g(y0))))) -> c3(F(g(g(0)), g(g(g(g(1)))), g(g(g(y0))))) F(g(g(y0)), g(g(g(g(g(g(g(y1))))))), g(g(z2))) -> c3(F(g(g(y0)), g(g(g(g(g(g(g(y1))))))), g(z2))) F(g(g(y0)), g(g(g(g(g(g(y1)))))), g(g(g(y2)))) -> c3(F(g(g(y0)), g(g(g(g(g(g(y1)))))), g(g(y2)))) F(g(g(0)), g(g(g(g(g(g(1)))))), g(g(z2))) -> c3(F(g(g(0)), g(g(g(g(g(g(1)))))), g(z2))) F(g(g(g(y0))), g(g(g(g(g(g(g(y1))))))), g(g(z2))) -> c3(F(g(g(g(y0))), g(g(g(g(g(g(g(y1))))))), g(z2))) F(g(g(g(0))), g(g(g(g(g(g(1)))))), g(g(z2))) -> c3(F(g(g(g(0))), g(g(g(g(g(g(1)))))), g(z2))) F(g(g(g(y0))), g(g(g(g(g(g(y1)))))), g(g(g(y2)))) -> c3(F(g(g(g(y0))), g(g(g(g(g(g(y1)))))), g(g(y2)))) F(g(g(g(g(g(y0))))), g(g(g(g(g(g(y1)))))), g(g(z2))) -> c3(F(g(g(g(g(g(y0))))), g(g(g(g(g(g(y1)))))), g(z2))) F(g(g(g(g(y0)))), g(g(g(g(g(g(g(y1))))))), g(g(z2))) -> c3(F(g(g(g(g(y0)))), g(g(g(g(g(g(g(y1))))))), g(z2))) F(g(g(g(g(0)))), g(g(g(g(g(g(1)))))), g(g(z2))) -> c3(F(g(g(g(g(0)))), g(g(g(g(g(g(1)))))), g(z2))) F(g(g(g(g(y0)))), g(g(g(g(g(g(y1)))))), g(g(g(y2)))) -> c3(F(g(g(g(g(y0)))), g(g(g(g(g(g(y1)))))), g(g(y2)))) F(0, 1, g(g(g(g(g(y0)))))) -> c3(F(0, 1, g(g(g(g(y0)))))) F(g(0), 1, g(g(g(g(g(y0)))))) -> c3(F(g(0), 1, g(g(g(g(y0)))))) F(g(g(0)), 1, g(z2)) -> c3(F(g(g(0)), 1, z2)) F(g(g(g(y0))), z1, g(z2)) -> c3(F(g(g(g(y0))), z1, z2)) F(g(g(z0)), g(g(y1)), g(z2)) -> c3(F(g(g(z0)), g(g(y1)), z2)) F(g(g(0)), g(1), g(z2)) -> c3(F(g(g(0)), g(1), z2)) F(g(g(g(y0))), g(y1), g(z2)) -> c3(F(g(g(g(y0))), g(y1), z2)) F(g(g(g(g(y0)))), g(y1), g(z2)) -> c3(F(g(g(g(g(y0)))), g(y1), z2)) F(g(g(g(y0))), g(g(y1)), g(z2)) -> c3(F(g(g(g(y0))), g(g(y1)), z2)) F(g(g(g(0))), g(1), g(z2)) -> c3(F(g(g(g(0))), g(1), z2)) F(g(g(z0)), g(g(g(y1))), g(z2)) -> c3(F(g(g(z0)), g(g(g(y1))), z2)) F(g(g(0)), g(g(1)), g(z2)) -> c3(F(g(g(0)), g(g(1)), z2)) F(g(g(g(g(y0)))), g(g(y1)), g(z2)) -> c3(F(g(g(g(g(y0)))), g(g(y1)), z2)) F(g(g(g(y0))), g(g(g(y1))), g(z2)) -> c3(F(g(g(g(y0))), g(g(g(y1))), z2)) F(g(g(g(0))), g(g(1)), g(z2)) -> c3(F(g(g(g(0))), g(g(1)), z2)) F(g(g(z0)), g(g(g(g(y1)))), g(z2)) -> c3(F(g(g(z0)), g(g(g(g(y1)))), z2)) F(g(g(0)), g(g(g(1))), g(z2)) -> c3(F(g(g(0)), g(g(g(1))), z2)) F(g(g(g(g(y0)))), g(g(g(y1))), g(z2)) -> c3(F(g(g(g(g(y0)))), g(g(g(y1))), z2)) F(g(g(g(y0))), g(g(g(g(y1)))), g(z2)) -> c3(F(g(g(g(y0))), g(g(g(g(y1)))), z2)) F(g(g(g(0))), g(g(g(1))), g(z2)) -> c3(F(g(g(g(0))), g(g(g(1))), z2)) F(g(g(z0)), g(g(g(g(g(y1))))), g(z2)) -> c3(F(g(g(z0)), g(g(g(g(g(y1))))), z2)) F(g(g(0)), g(g(g(g(1)))), g(z2)) -> c3(F(g(g(0)), g(g(g(g(1)))), z2)) F(g(g(g(g(y0)))), g(g(g(g(y1)))), g(z2)) -> c3(F(g(g(g(g(y0)))), g(g(g(g(y1)))), z2)) F(g(g(g(y0))), g(g(g(g(g(y1))))), g(z2)) -> c3(F(g(g(g(y0))), g(g(g(g(g(y1))))), z2)) F(g(g(g(0))), g(g(g(g(1)))), g(z2)) -> c3(F(g(g(g(0))), g(g(g(g(1)))), z2)) F(g(g(z0)), z1, g(g(g(g(y2))))) -> c3(F(g(g(z0)), z1, g(g(g(y2))))) F(g(g(z0)), g(y1), g(g(g(g(y2))))) -> c3(F(g(g(z0)), g(y1), g(g(g(y2))))) F(g(g(g(0))), g(1), g(g(g(y0)))) -> c3(F(g(g(g(0))), g(1), g(g(y0)))) F(g(g(g(y0))), g(y1), g(g(g(g(y2))))) -> c3(F(g(g(g(y0))), g(y1), g(g(g(y2))))) F(g(g(g(0))), 1, g(g(g(y0)))) -> c3(F(g(g(g(0))), 1, g(g(y0)))) F(g(g(g(g(y0)))), z1, g(g(g(y2)))) -> c3(F(g(g(g(g(y0)))), z1, g(g(y2)))) F(g(g(g(y0))), z1, g(g(g(g(y2))))) -> c3(F(g(g(g(y0))), z1, g(g(g(y2))))) F(g(g(g(g(g(y0))))), g(y1), g(g(g(y2)))) -> c3(F(g(g(g(g(g(y0))))), g(y1), g(g(y2)))) F(g(g(g(g(0)))), g(1), g(g(g(y0)))) -> c3(F(g(g(g(g(0)))), g(1), g(g(y0)))) F(g(g(g(g(y0)))), g(y1), g(g(g(g(y2))))) -> c3(F(g(g(g(g(y0)))), g(y1), g(g(g(y2))))) F(g(g(0)), 1, g(g(g(g(g(y0)))))) -> c3(F(g(g(0)), 1, g(g(g(g(y0)))))) F(g(g(z0)), g(g(y1)), g(g(g(g(y2))))) -> c3(F(g(g(z0)), g(g(y1)), g(g(g(y2))))) F(g(g(g(0))), g(g(1)), g(g(g(y0)))) -> c3(F(g(g(g(0))), g(g(1)), g(g(y0)))) F(g(g(g(y0))), g(g(y1)), g(g(g(g(y2))))) -> c3(F(g(g(g(y0))), g(g(y1)), g(g(g(y2))))) F(g(g(g(g(g(y0))))), g(g(y1)), g(g(g(y2)))) -> c3(F(g(g(g(g(g(y0))))), g(g(y1)), g(g(y2)))) F(g(g(g(g(0)))), g(g(1)), g(g(g(y0)))) -> c3(F(g(g(g(g(0)))), g(g(1)), g(g(y0)))) F(g(g(g(g(y0)))), g(g(y1)), g(g(g(g(y2))))) -> c3(F(g(g(g(g(y0)))), g(g(y1)), g(g(g(y2))))) F(g(g(0)), g(1), g(g(g(g(g(y0)))))) -> c3(F(g(g(0)), g(1), g(g(g(g(y0)))))) F(g(g(z0)), g(g(g(y1))), g(g(g(g(y2))))) -> c3(F(g(g(z0)), g(g(g(y1))), g(g(g(y2))))) F(g(g(g(0))), g(g(g(1))), g(g(g(y0)))) -> c3(F(g(g(g(0))), g(g(g(1))), g(g(y0)))) F(g(g(g(y0))), g(g(g(y1))), g(g(g(g(y2))))) -> c3(F(g(g(g(y0))), g(g(g(y1))), g(g(g(y2))))) F(g(g(g(g(g(y0))))), g(g(g(y1))), g(g(g(y2)))) -> c3(F(g(g(g(g(g(y0))))), g(g(g(y1))), g(g(y2)))) F(g(g(g(g(0)))), g(g(g(1))), g(g(g(y0)))) -> c3(F(g(g(g(g(0)))), g(g(g(1))), g(g(y0)))) F(g(g(g(g(y0)))), g(g(g(y1))), g(g(g(g(y2))))) -> c3(F(g(g(g(g(y0)))), g(g(g(y1))), g(g(g(y2))))) F(g(g(0)), g(g(1)), g(g(g(g(g(y0)))))) -> c3(F(g(g(0)), g(g(1)), g(g(g(g(y0)))))) F(g(g(z0)), g(g(g(g(y1)))), g(g(g(g(y2))))) -> c3(F(g(g(z0)), g(g(g(g(y1)))), g(g(g(y2))))) F(g(g(g(0))), g(g(g(g(1)))), g(g(g(y0)))) -> c3(F(g(g(g(0))), g(g(g(g(1)))), g(g(y0)))) F(g(g(g(y0))), g(g(g(g(y1)))), g(g(g(g(y2))))) -> c3(F(g(g(g(y0))), g(g(g(g(y1)))), g(g(g(y2))))) F(g(g(g(g(g(y0))))), g(g(g(g(y1)))), g(g(g(y2)))) -> c3(F(g(g(g(g(g(y0))))), g(g(g(g(y1)))), g(g(y2)))) F(g(g(g(g(0)))), g(g(g(g(1)))), g(g(g(y0)))) -> c3(F(g(g(g(g(0)))), g(g(g(g(1)))), g(g(y0)))) F(g(g(g(g(y0)))), g(g(g(g(y1)))), g(g(g(g(y2))))) -> c3(F(g(g(g(g(y0)))), g(g(g(g(y1)))), g(g(g(y2))))) F(g(g(0)), g(g(g(1))), g(g(g(g(g(y0)))))) -> c3(F(g(g(0)), g(g(g(1))), g(g(g(g(y0)))))) F(g(g(z0)), g(g(g(g(g(y1))))), g(g(g(g(y2))))) -> c3(F(g(g(z0)), g(g(g(g(g(y1))))), g(g(g(y2))))) F(g(g(0)), g(g(g(g(g(1))))), g(g(g(y0)))) -> c3(F(g(g(0)), g(g(g(g(g(1))))), g(g(y0)))) F(g(g(g(0))), g(g(g(g(g(1))))), g(g(g(y0)))) -> c3(F(g(g(g(0))), g(g(g(g(g(1))))), g(g(y0)))) F(g(g(g(y0))), g(g(g(g(g(y1))))), g(g(g(g(y2))))) -> c3(F(g(g(g(y0))), g(g(g(g(g(y1))))), g(g(g(y2))))) F(g(g(g(g(g(y0))))), g(g(g(g(g(y1))))), g(g(g(y2)))) -> c3(F(g(g(g(g(g(y0))))), g(g(g(g(g(y1))))), g(g(y2)))) F(g(g(g(g(0)))), g(g(g(g(g(1))))), g(g(g(y0)))) -> c3(F(g(g(g(g(0)))), g(g(g(g(g(1))))), g(g(y0)))) F(g(g(g(g(y0)))), g(g(g(g(g(y1))))), g(g(g(g(y2))))) -> c3(F(g(g(g(g(y0)))), g(g(g(g(g(y1))))), g(g(g(y2))))) F(g(g(0)), g(g(g(g(1)))), g(g(g(g(g(y0)))))) -> c3(F(g(g(0)), g(g(g(g(1)))), g(g(g(g(y0)))))) F(g(g(z0)), g(g(g(g(g(g(g(y1))))))), g(g(g(y2)))) -> c3(F(g(g(z0)), g(g(g(g(g(g(g(y1))))))), g(g(y2)))) F(g(g(z0)), g(g(g(g(g(g(y1)))))), g(g(g(g(y2))))) -> c3(F(g(g(z0)), g(g(g(g(g(g(y1)))))), g(g(g(y2))))) F(g(g(0)), g(g(g(g(g(g(1)))))), g(g(g(y0)))) -> c3(F(g(g(0)), g(g(g(g(g(g(1)))))), g(g(y0)))) F(g(g(g(y0))), g(g(g(g(g(g(g(y1))))))), g(g(g(y2)))) -> c3(F(g(g(g(y0))), g(g(g(g(g(g(g(y1))))))), g(g(y2)))) F(g(g(g(0))), g(g(g(g(g(g(1)))))), g(g(g(y0)))) -> c3(F(g(g(g(0))), g(g(g(g(g(g(1)))))), g(g(y0)))) F(g(g(g(y0))), g(g(g(g(g(g(y1)))))), g(g(g(g(y2))))) -> c3(F(g(g(g(y0))), g(g(g(g(g(g(y1)))))), g(g(g(y2))))) F(g(g(g(g(g(y0))))), g(g(g(g(g(g(y1)))))), g(g(g(y2)))) -> c3(F(g(g(g(g(g(y0))))), g(g(g(g(g(g(y1)))))), g(g(y2)))) F(g(g(g(g(y0)))), g(g(g(g(g(g(g(y1))))))), g(g(g(y2)))) -> c3(F(g(g(g(g(y0)))), g(g(g(g(g(g(g(y1))))))), g(g(y2)))) F(g(g(g(g(0)))), g(g(g(g(g(g(1)))))), g(g(g(y0)))) -> c3(F(g(g(g(g(0)))), g(g(g(g(g(g(1)))))), g(g(y0)))) F(g(g(g(g(y0)))), g(g(g(g(g(g(y1)))))), g(g(g(g(y2))))) -> c3(F(g(g(g(g(y0)))), g(g(g(g(g(g(y1)))))), g(g(g(y2))))) F(g(z0), g(g(g(y1))), g(z2)) -> c3(F(g(z0), g(g(g(y1))), z2)) F(g(0), g(g(1)), g(z2)) -> c3(F(g(0), g(g(1)), z2)) F(g(z0), g(g(g(g(y1)))), g(z2)) -> c3(F(g(z0), g(g(g(g(y1)))), z2)) F(g(0), g(g(g(1))), g(z2)) -> c3(F(g(0), g(g(g(1))), z2)) F(g(z0), g(z1), g(g(g(g(y2))))) -> c3(F(g(z0), g(z1), g(g(g(y2))))) F(g(z0), g(g(y1)), g(g(g(g(y2))))) -> c3(F(g(z0), g(g(y1)), g(g(g(y2))))) F(g(0), g(1), g(g(g(g(g(y0)))))) -> c3(F(g(0), g(1), g(g(g(g(y0)))))) F(g(z0), g(g(g(y1))), g(g(g(g(y2))))) -> c3(F(g(z0), g(g(g(y1))), g(g(g(y2))))) F(g(0), g(g(1)), g(g(g(g(g(y0)))))) -> c3(F(g(0), g(g(1)), g(g(g(g(y0)))))) F(g(0), g(g(g(g(1)))), g(g(g(y0)))) -> c3(F(g(0), g(g(g(g(1)))), g(g(y0)))) F(g(z0), g(g(g(g(y1)))), g(g(g(g(y2))))) -> c3(F(g(z0), g(g(g(g(y1)))), g(g(g(y2))))) F(g(0), g(g(g(1))), g(g(g(g(g(y0)))))) -> c3(F(g(0), g(g(g(1))), g(g(g(g(y0)))))) F(g(z0), g(g(g(g(g(g(y1)))))), g(g(g(y2)))) -> c3(F(g(z0), g(g(g(g(g(g(y1)))))), g(g(y2)))) F(g(0), g(g(g(g(g(1))))), g(g(g(y0)))) -> c3(F(g(0), g(g(g(g(g(1))))), g(g(y0)))) F(g(z0), g(g(g(g(g(y1))))), g(g(g(g(y2))))) -> c3(F(g(z0), g(g(g(g(g(y1))))), g(g(g(y2))))) F(g(g(y0)), g(z1), g(g(g(g(g(y2)))))) -> c3(F(g(g(y0)), g(z1), g(g(g(g(y2)))))) F(g(g(g(0))), g(1), g(g(g(g(y0))))) -> c3(F(g(g(g(0))), g(1), g(g(g(y0))))) F(g(g(g(y0))), g(z1), g(g(g(g(g(y2)))))) -> c3(F(g(g(g(y0))), g(z1), g(g(g(g(y2)))))) F(g(g(g(g(g(y0))))), g(z1), g(g(g(g(y2))))) -> c3(F(g(g(g(g(g(y0))))), g(z1), g(g(g(y2))))) F(g(g(g(g(0)))), g(1), g(g(g(g(y0))))) -> c3(F(g(g(g(g(0)))), g(1), g(g(g(y0))))) F(g(g(g(g(y0)))), g(z1), g(g(g(g(g(y2)))))) -> c3(F(g(g(g(g(y0)))), g(z1), g(g(g(g(y2)))))) F(g(g(y0)), g(g(y1)), g(g(g(g(g(y2)))))) -> c3(F(g(g(y0)), g(g(y1)), g(g(g(g(y2)))))) F(g(g(g(0))), g(g(1)), g(g(g(g(y0))))) -> c3(F(g(g(g(0))), g(g(1)), g(g(g(y0))))) F(g(g(g(y0))), g(g(y1)), g(g(g(g(g(y2)))))) -> c3(F(g(g(g(y0))), g(g(y1)), g(g(g(g(y2)))))) F(g(g(g(g(g(y0))))), g(g(y1)), g(g(g(g(y2))))) -> c3(F(g(g(g(g(g(y0))))), g(g(y1)), g(g(g(y2))))) F(g(g(g(g(0)))), g(g(1)), g(g(g(g(y0))))) -> c3(F(g(g(g(g(0)))), g(g(1)), g(g(g(y0))))) F(g(g(g(g(y0)))), g(g(y1)), g(g(g(g(g(y2)))))) -> c3(F(g(g(g(g(y0)))), g(g(y1)), g(g(g(g(y2)))))) F(g(g(0)), g(1), g(g(g(g(g(g(y0))))))) -> c3(F(g(g(0)), g(1), g(g(g(g(g(y0))))))) F(g(g(y0)), g(g(g(y1))), g(g(g(g(g(y2)))))) -> c3(F(g(g(y0)), g(g(g(y1))), g(g(g(g(y2)))))) F(g(g(g(0))), g(g(g(1))), g(g(g(g(y0))))) -> c3(F(g(g(g(0))), g(g(g(1))), g(g(g(y0))))) F(g(g(g(y0))), g(g(g(y1))), g(g(g(g(g(y2)))))) -> c3(F(g(g(g(y0))), g(g(g(y1))), g(g(g(g(y2)))))) F(g(g(g(g(g(y0))))), g(g(g(y1))), g(g(g(g(y2))))) -> c3(F(g(g(g(g(g(y0))))), g(g(g(y1))), g(g(g(y2))))) F(g(g(g(g(0)))), g(g(g(1))), g(g(g(g(y0))))) -> c3(F(g(g(g(g(0)))), g(g(g(1))), g(g(g(y0))))) F(g(g(g(g(y0)))), g(g(g(y1))), g(g(g(g(g(y2)))))) -> c3(F(g(g(g(g(y0)))), g(g(g(y1))), g(g(g(g(y2)))))) F(g(g(0)), g(g(1)), g(g(g(g(g(g(y0))))))) -> c3(F(g(g(0)), g(g(1)), g(g(g(g(g(y0))))))) F(g(g(y0)), g(g(g(g(y1)))), g(g(g(g(g(y2)))))) -> c3(F(g(g(y0)), g(g(g(g(y1)))), g(g(g(g(y2)))))) F(g(g(g(0))), g(g(g(g(1)))), g(g(g(g(y0))))) -> c3(F(g(g(g(0))), g(g(g(g(1)))), g(g(g(y0))))) F(g(g(g(y0))), g(g(g(g(y1)))), g(g(g(g(g(y2)))))) -> c3(F(g(g(g(y0))), g(g(g(g(y1)))), g(g(g(g(y2)))))) F(g(g(g(g(g(y0))))), g(g(g(g(y1)))), g(g(g(g(y2))))) -> c3(F(g(g(g(g(g(y0))))), g(g(g(g(y1)))), g(g(g(y2))))) F(g(g(g(g(0)))), g(g(g(g(1)))), g(g(g(g(y0))))) -> c3(F(g(g(g(g(0)))), g(g(g(g(1)))), g(g(g(y0))))) F(g(g(g(g(y0)))), g(g(g(g(y1)))), g(g(g(g(g(y2)))))) -> c3(F(g(g(g(g(y0)))), g(g(g(g(y1)))), g(g(g(g(y2)))))) F(g(g(0)), g(g(g(1))), g(g(g(g(g(g(y0))))))) -> c3(F(g(g(0)), g(g(g(1))), g(g(g(g(g(y0))))))) F(g(g(y0)), g(g(g(g(g(y1))))), g(g(g(g(g(y2)))))) -> c3(F(g(g(y0)), g(g(g(g(g(y1))))), g(g(g(g(y2)))))) F(g(g(0)), g(g(g(g(g(1))))), g(g(g(g(y0))))) -> c3(F(g(g(0)), g(g(g(g(g(1))))), g(g(g(y0))))) F(g(g(g(0))), g(g(g(g(g(1))))), g(g(g(g(y0))))) -> c3(F(g(g(g(0))), g(g(g(g(g(1))))), g(g(g(y0))))) F(g(g(g(y0))), g(g(g(g(g(y1))))), g(g(g(g(g(y2)))))) -> c3(F(g(g(g(y0))), g(g(g(g(g(y1))))), g(g(g(g(y2)))))) F(g(g(g(g(g(y0))))), g(g(g(g(g(y1))))), g(g(g(g(y2))))) -> c3(F(g(g(g(g(g(y0))))), g(g(g(g(g(y1))))), g(g(g(y2))))) F(g(g(g(g(0)))), g(g(g(g(g(1))))), g(g(g(g(y0))))) -> c3(F(g(g(g(g(0)))), g(g(g(g(g(1))))), g(g(g(y0))))) F(g(g(g(g(y0)))), g(g(g(g(g(y1))))), g(g(g(g(g(y2)))))) -> c3(F(g(g(g(g(y0)))), g(g(g(g(g(y1))))), g(g(g(g(y2)))))) F(g(g(0)), g(g(g(g(1)))), g(g(g(g(g(g(y0))))))) -> c3(F(g(g(0)), g(g(g(g(1)))), g(g(g(g(g(y0))))))) F(g(g(y0)), g(g(g(g(g(g(g(y1))))))), g(g(g(g(y2))))) -> c3(F(g(g(y0)), g(g(g(g(g(g(g(y1))))))), g(g(g(y2))))) F(g(g(y0)), g(g(g(g(g(g(y1)))))), g(g(g(g(g(y2)))))) -> c3(F(g(g(y0)), g(g(g(g(g(g(y1)))))), g(g(g(g(y2)))))) F(g(g(0)), g(g(g(g(g(g(1)))))), g(g(g(g(y0))))) -> c3(F(g(g(0)), g(g(g(g(g(g(1)))))), g(g(g(y0))))) F(g(g(g(y0))), g(g(g(g(g(g(g(y1))))))), g(g(g(g(y2))))) -> c3(F(g(g(g(y0))), g(g(g(g(g(g(g(y1))))))), g(g(g(y2))))) F(g(g(g(0))), g(g(g(g(g(g(1)))))), g(g(g(g(y0))))) -> c3(F(g(g(g(0))), g(g(g(g(g(g(1)))))), g(g(g(y0))))) F(g(g(g(y0))), g(g(g(g(g(g(y1)))))), g(g(g(g(g(y2)))))) -> c3(F(g(g(g(y0))), g(g(g(g(g(g(y1)))))), g(g(g(g(y2)))))) F(g(g(g(g(g(y0))))), g(g(g(g(g(g(y1)))))), g(g(g(g(y2))))) -> c3(F(g(g(g(g(g(y0))))), g(g(g(g(g(g(y1)))))), g(g(g(y2))))) F(g(g(g(g(y0)))), g(g(g(g(g(g(g(y1))))))), g(g(g(g(y2))))) -> c3(F(g(g(g(g(y0)))), g(g(g(g(g(g(g(y1))))))), g(g(g(y2))))) F(g(g(g(g(0)))), g(g(g(g(g(g(1)))))), g(g(g(g(y0))))) -> c3(F(g(g(g(g(0)))), g(g(g(g(g(g(1)))))), g(g(g(y0))))) F(g(g(g(g(y0)))), g(g(g(g(g(g(y1)))))), g(g(g(g(g(y2)))))) -> c3(F(g(g(g(g(y0)))), g(g(g(g(g(g(y1)))))), g(g(g(g(y2)))))) F(g(z0), z1, g(g(g(g(y2))))) -> c3(F(g(z0), z1, g(g(g(y2))))) F(g(0), 1, g(g(g(g(g(g(y0))))))) -> c3(F(g(0), 1, g(g(g(g(g(y0))))))) F(g(g(y0)), z1, g(g(g(g(g(y2)))))) -> c3(F(g(g(y0)), z1, g(g(g(g(y2)))))) F(g(g(g(0))), 1, g(g(g(g(y0))))) -> c3(F(g(g(g(0))), 1, g(g(g(y0))))) F(g(g(g(g(y0)))), z1, g(g(g(g(y2))))) -> c3(F(g(g(g(g(y0)))), z1, g(g(g(y2))))) F(g(g(g(y0))), z1, g(g(g(g(g(y2)))))) -> c3(F(g(g(g(y0))), z1, g(g(g(g(y2)))))) F(g(g(0)), 1, g(g(g(g(g(g(y0))))))) -> c3(F(g(g(0)), 1, g(g(g(g(g(y0))))))) F(g(z0), g(y1), g(g(g(g(g(y2)))))) -> c3(F(g(z0), g(y1), g(g(g(g(y2)))))) F(g(z0), g(g(y1)), g(g(g(g(g(y2)))))) -> c3(F(g(z0), g(g(y1)), g(g(g(g(y2)))))) F(g(0), g(1), g(g(g(g(g(g(y0))))))) -> c3(F(g(0), g(1), g(g(g(g(g(y0))))))) F(g(z0), g(g(g(y1))), g(g(g(g(g(y2)))))) -> c3(F(g(z0), g(g(g(y1))), g(g(g(g(y2)))))) F(g(0), g(g(1)), g(g(g(g(g(g(y0))))))) -> c3(F(g(0), g(g(1)), g(g(g(g(g(y0))))))) F(g(0), g(g(g(g(1)))), g(g(g(g(y0))))) -> c3(F(g(0), g(g(g(g(1)))), g(g(g(y0))))) F(g(z0), g(g(g(g(y1)))), g(g(g(g(g(y2)))))) -> c3(F(g(z0), g(g(g(g(y1)))), g(g(g(g(y2)))))) F(g(0), g(g(g(1))), g(g(g(g(g(g(y0))))))) -> c3(F(g(0), g(g(g(1))), g(g(g(g(g(y0))))))) F(g(z0), g(g(g(g(g(g(y1)))))), g(g(g(g(y2))))) -> c3(F(g(z0), g(g(g(g(g(g(y1)))))), g(g(g(y2))))) F(g(0), g(g(g(g(g(1))))), g(g(g(g(y0))))) -> c3(F(g(0), g(g(g(g(g(1))))), g(g(g(y0))))) F(g(z0), g(g(g(g(g(y1))))), g(g(g(g(g(y2)))))) -> c3(F(g(z0), g(g(g(g(g(y1))))), g(g(g(g(y2)))))) F(g(g(y0)), g(y1), g(g(g(g(g(g(y2))))))) -> c3(F(g(g(y0)), g(y1), g(g(g(g(g(y2))))))) F(g(g(g(0))), g(1), g(g(g(g(g(y0)))))) -> c3(F(g(g(g(0))), g(1), g(g(g(g(y0)))))) F(g(g(g(y0))), g(y1), g(g(g(g(g(g(y2))))))) -> c3(F(g(g(g(y0))), g(y1), g(g(g(g(g(y2))))))) F(g(g(g(g(g(y0))))), g(y1), g(g(g(g(g(y2)))))) -> c3(F(g(g(g(g(g(y0))))), g(y1), g(g(g(g(y2)))))) F(g(g(g(g(0)))), g(1), g(g(g(g(g(y0)))))) -> c3(F(g(g(g(g(0)))), g(1), g(g(g(g(y0)))))) F(g(g(g(g(y0)))), g(y1), g(g(g(g(g(g(y2))))))) -> c3(F(g(g(g(g(y0)))), g(y1), g(g(g(g(g(y2))))))) F(g(g(y0)), g(g(y1)), g(g(g(g(g(g(y2))))))) -> c3(F(g(g(y0)), g(g(y1)), g(g(g(g(g(y2))))))) F(g(g(g(0))), g(g(1)), g(g(g(g(g(y0)))))) -> c3(F(g(g(g(0))), g(g(1)), g(g(g(g(y0)))))) F(g(g(g(y0))), g(g(y1)), g(g(g(g(g(g(y2))))))) -> c3(F(g(g(g(y0))), g(g(y1)), g(g(g(g(g(y2))))))) F(g(g(g(g(g(y0))))), g(g(y1)), g(g(g(g(g(y2)))))) -> c3(F(g(g(g(g(g(y0))))), g(g(y1)), g(g(g(g(y2)))))) F(g(g(g(g(0)))), g(g(1)), g(g(g(g(g(y0)))))) -> c3(F(g(g(g(g(0)))), g(g(1)), g(g(g(g(y0)))))) F(g(g(g(g(y0)))), g(g(y1)), g(g(g(g(g(g(y2))))))) -> c3(F(g(g(g(g(y0)))), g(g(y1)), g(g(g(g(g(y2))))))) F(g(g(0)), g(1), g(g(g(g(g(g(g(y0)))))))) -> c3(F(g(g(0)), g(1), g(g(g(g(g(g(y0)))))))) F(g(g(y0)), g(g(g(y1))), g(g(g(g(g(g(y2))))))) -> c3(F(g(g(y0)), g(g(g(y1))), g(g(g(g(g(y2))))))) F(g(g(g(0))), g(g(g(1))), g(g(g(g(g(y0)))))) -> c3(F(g(g(g(0))), g(g(g(1))), g(g(g(g(y0)))))) F(g(g(g(y0))), g(g(g(y1))), g(g(g(g(g(g(y2))))))) -> c3(F(g(g(g(y0))), g(g(g(y1))), g(g(g(g(g(y2))))))) F(g(g(g(g(g(y0))))), g(g(g(y1))), g(g(g(g(g(y2)))))) -> c3(F(g(g(g(g(g(y0))))), g(g(g(y1))), g(g(g(g(y2)))))) F(g(g(g(g(0)))), g(g(g(1))), g(g(g(g(g(y0)))))) -> c3(F(g(g(g(g(0)))), g(g(g(1))), g(g(g(g(y0)))))) F(g(g(g(g(y0)))), g(g(g(y1))), g(g(g(g(g(g(y2))))))) -> c3(F(g(g(g(g(y0)))), g(g(g(y1))), g(g(g(g(g(y2))))))) F(g(g(0)), g(g(1)), g(g(g(g(g(g(g(y0)))))))) -> c3(F(g(g(0)), g(g(1)), g(g(g(g(g(g(y0)))))))) F(g(g(y0)), g(g(g(g(y1)))), g(g(g(g(g(g(y2))))))) -> c3(F(g(g(y0)), g(g(g(g(y1)))), g(g(g(g(g(y2))))))) F(g(g(g(0))), g(g(g(g(1)))), g(g(g(g(g(y0)))))) -> c3(F(g(g(g(0))), g(g(g(g(1)))), g(g(g(g(y0)))))) F(g(g(g(y0))), g(g(g(g(y1)))), g(g(g(g(g(g(y2))))))) -> c3(F(g(g(g(y0))), g(g(g(g(y1)))), g(g(g(g(g(y2))))))) F(g(g(g(g(g(y0))))), g(g(g(g(y1)))), g(g(g(g(g(y2)))))) -> c3(F(g(g(g(g(g(y0))))), g(g(g(g(y1)))), g(g(g(g(y2)))))) F(g(g(g(g(0)))), g(g(g(g(1)))), g(g(g(g(g(y0)))))) -> c3(F(g(g(g(g(0)))), g(g(g(g(1)))), g(g(g(g(y0)))))) F(g(g(g(g(y0)))), g(g(g(g(y1)))), g(g(g(g(g(g(y2))))))) -> c3(F(g(g(g(g(y0)))), g(g(g(g(y1)))), g(g(g(g(g(y2))))))) F(g(g(0)), g(g(g(1))), g(g(g(g(g(g(g(y0)))))))) -> c3(F(g(g(0)), g(g(g(1))), g(g(g(g(g(g(y0)))))))) F(g(g(y0)), g(g(g(g(g(y1))))), g(g(g(g(g(g(y2))))))) -> c3(F(g(g(y0)), g(g(g(g(g(y1))))), g(g(g(g(g(y2))))))) F(g(g(0)), g(g(g(g(g(1))))), g(g(g(g(g(y0)))))) -> c3(F(g(g(0)), g(g(g(g(g(1))))), g(g(g(g(y0)))))) F(g(g(g(0))), g(g(g(g(g(1))))), g(g(g(g(g(y0)))))) -> c3(F(g(g(g(0))), g(g(g(g(g(1))))), g(g(g(g(y0)))))) F(g(g(g(y0))), g(g(g(g(g(y1))))), g(g(g(g(g(g(y2))))))) -> c3(F(g(g(g(y0))), g(g(g(g(g(y1))))), g(g(g(g(g(y2))))))) F(g(g(g(g(g(y0))))), g(g(g(g(g(y1))))), g(g(g(g(g(y2)))))) -> c3(F(g(g(g(g(g(y0))))), g(g(g(g(g(y1))))), g(g(g(g(y2)))))) F(g(g(g(g(0)))), g(g(g(g(g(1))))), g(g(g(g(g(y0)))))) -> c3(F(g(g(g(g(0)))), g(g(g(g(g(1))))), g(g(g(g(y0)))))) F(g(g(g(g(y0)))), g(g(g(g(g(y1))))), g(g(g(g(g(g(y2))))))) -> c3(F(g(g(g(g(y0)))), g(g(g(g(g(y1))))), g(g(g(g(g(y2))))))) F(g(g(0)), g(g(g(g(1)))), g(g(g(g(g(g(g(y0)))))))) -> c3(F(g(g(0)), g(g(g(g(1)))), g(g(g(g(g(g(y0)))))))) F(g(g(y0)), g(g(g(g(g(g(g(y1))))))), g(g(g(g(g(y2)))))) -> c3(F(g(g(y0)), g(g(g(g(g(g(g(y1))))))), g(g(g(g(y2)))))) F(g(g(y0)), g(g(g(g(g(g(y1)))))), g(g(g(g(g(g(y2))))))) -> c3(F(g(g(y0)), g(g(g(g(g(g(y1)))))), g(g(g(g(g(y2))))))) F(g(g(0)), g(g(g(g(g(g(1)))))), g(g(g(g(g(y0)))))) -> c3(F(g(g(0)), g(g(g(g(g(g(1)))))), g(g(g(g(y0)))))) F(g(g(g(y0))), g(g(g(g(g(g(g(y1))))))), g(g(g(g(g(y2)))))) -> c3(F(g(g(g(y0))), g(g(g(g(g(g(g(y1))))))), g(g(g(g(y2)))))) F(g(g(g(0))), g(g(g(g(g(g(1)))))), g(g(g(g(g(y0)))))) -> c3(F(g(g(g(0))), g(g(g(g(g(g(1)))))), g(g(g(g(y0)))))) F(g(g(g(y0))), g(g(g(g(g(g(y1)))))), g(g(g(g(g(g(y2))))))) -> c3(F(g(g(g(y0))), g(g(g(g(g(g(y1)))))), g(g(g(g(g(y2))))))) F(g(g(g(g(g(y0))))), g(g(g(g(g(g(y1)))))), g(g(g(g(g(y2)))))) -> c3(F(g(g(g(g(g(y0))))), g(g(g(g(g(g(y1)))))), g(g(g(g(y2)))))) F(g(g(g(g(y0)))), g(g(g(g(g(g(g(y1))))))), g(g(g(g(g(y2)))))) -> c3(F(g(g(g(g(y0)))), g(g(g(g(g(g(g(y1))))))), g(g(g(g(y2)))))) F(g(g(g(g(0)))), g(g(g(g(g(g(1)))))), g(g(g(g(g(y0)))))) -> c3(F(g(g(g(g(0)))), g(g(g(g(g(g(1)))))), g(g(g(g(y0)))))) F(g(g(g(g(y0)))), g(g(g(g(g(g(y1)))))), g(g(g(g(g(g(y2))))))) -> c3(F(g(g(g(g(y0)))), g(g(g(g(g(g(y1)))))), g(g(g(g(g(y2))))))) F(0, g(1), g(g(g(g(g(y0)))))) -> c3(F(0, g(1), g(g(g(g(y0)))))) F(z0, g(g(g(y1))), g(z2)) -> c3(F(z0, g(g(g(y1))), z2)) F(z0, g(g(z1)), g(g(g(g(y2))))) -> c3(F(z0, g(g(z1)), g(g(g(y2))))) F(0, g(g(1)), g(g(g(g(g(y0)))))) -> c3(F(0, g(g(1)), g(g(g(g(y0)))))) F(z0, g(g(g(g(y1)))), g(g(g(y2)))) -> c3(F(z0, g(g(g(g(y1)))), g(g(y2)))) F(z0, g(g(g(y1))), g(g(g(g(y2))))) -> c3(F(z0, g(g(g(y1))), g(g(g(y2))))) F(0, g(g(g(1))), g(g(g(g(g(y0)))))) -> c3(F(0, g(g(g(1))), g(g(g(g(y0)))))) F(g(y0), g(g(z1)), g(g(g(g(g(g(y2))))))) -> c3(F(g(y0), g(g(z1)), g(g(g(g(g(y2))))))) F(g(y0), g(g(g(y1))), g(g(g(g(g(g(y2))))))) -> c3(F(g(y0), g(g(g(y1))), g(g(g(g(g(y2))))))) F(g(0), g(g(1)), g(g(g(g(g(g(g(y0)))))))) -> c3(F(g(0), g(g(1)), g(g(g(g(g(g(y0)))))))) F(g(0), g(g(g(g(1)))), g(g(g(g(g(y0)))))) -> c3(F(g(0), g(g(g(g(1)))), g(g(g(g(y0)))))) F(g(y0), g(g(g(g(y1)))), g(g(g(g(g(g(y2))))))) -> c3(F(g(y0), g(g(g(g(y1)))), g(g(g(g(g(y2))))))) F(g(0), g(g(g(1))), g(g(g(g(g(g(g(y0)))))))) -> c3(F(g(0), g(g(g(1))), g(g(g(g(g(g(y0)))))))) F(g(y0), g(g(g(g(g(g(y1)))))), g(g(g(g(g(y2)))))) -> c3(F(g(y0), g(g(g(g(g(g(y1)))))), g(g(g(g(y2)))))) F(g(0), g(g(g(g(g(1))))), g(g(g(g(g(y0)))))) -> c3(F(g(0), g(g(g(g(g(1))))), g(g(g(g(y0)))))) F(g(y0), g(g(g(g(g(y1))))), g(g(g(g(g(g(y2))))))) -> c3(F(g(y0), g(g(g(g(g(y1))))), g(g(g(g(g(y2))))))) F(g(g(y0)), g(g(z1)), g(g(g(g(g(g(g(y2)))))))) -> c3(F(g(g(y0)), g(g(z1)), g(g(g(g(g(g(y2)))))))) F(g(g(g(y0))), g(g(z1)), g(g(g(g(g(g(g(y2)))))))) -> c3(F(g(g(g(y0))), g(g(z1)), g(g(g(g(g(g(y2)))))))) F(g(g(g(g(g(y0))))), g(g(z1)), g(g(g(g(g(g(y2))))))) -> c3(F(g(g(g(g(g(y0))))), g(g(z1)), g(g(g(g(g(y2))))))) F(g(g(g(g(y0)))), g(g(z1)), g(g(g(g(g(g(g(y2)))))))) -> c3(F(g(g(g(g(y0)))), g(g(z1)), g(g(g(g(g(g(y2)))))))) F(g(g(g(0))), g(g(1)), g(g(g(g(g(g(y0))))))) -> c3(F(g(g(g(0))), g(g(1)), g(g(g(g(g(y0))))))) F(g(g(g(g(0)))), g(g(1)), g(g(g(g(g(g(y0))))))) -> c3(F(g(g(g(g(0)))), g(g(1)), g(g(g(g(g(y0))))))) F(g(g(y0)), g(g(g(y1))), g(g(g(g(g(g(g(y2)))))))) -> c3(F(g(g(y0)), g(g(g(y1))), g(g(g(g(g(g(y2)))))))) F(g(g(g(0))), g(g(g(1))), g(g(g(g(g(g(y0))))))) -> c3(F(g(g(g(0))), g(g(g(1))), g(g(g(g(g(y0))))))) F(g(g(g(y0))), g(g(g(y1))), g(g(g(g(g(g(g(y2)))))))) -> c3(F(g(g(g(y0))), g(g(g(y1))), g(g(g(g(g(g(y2)))))))) F(g(g(g(g(g(y0))))), g(g(g(y1))), g(g(g(g(g(g(y2))))))) -> c3(F(g(g(g(g(g(y0))))), g(g(g(y1))), g(g(g(g(g(y2))))))) F(g(g(g(g(0)))), g(g(g(1))), g(g(g(g(g(g(y0))))))) -> c3(F(g(g(g(g(0)))), g(g(g(1))), g(g(g(g(g(y0))))))) F(g(g(g(g(y0)))), g(g(g(y1))), g(g(g(g(g(g(g(y2)))))))) -> c3(F(g(g(g(g(y0)))), g(g(g(y1))), g(g(g(g(g(g(y2)))))))) F(g(g(0)), g(g(1)), g(g(g(g(g(g(g(g(y0))))))))) -> c3(F(g(g(0)), g(g(1)), g(g(g(g(g(g(g(y0))))))))) F(g(g(y0)), g(g(g(g(y1)))), g(g(g(g(g(g(g(y2)))))))) -> c3(F(g(g(y0)), g(g(g(g(y1)))), g(g(g(g(g(g(y2)))))))) F(g(g(g(0))), g(g(g(g(1)))), g(g(g(g(g(g(y0))))))) -> c3(F(g(g(g(0))), g(g(g(g(1)))), g(g(g(g(g(y0))))))) F(g(g(g(y0))), g(g(g(g(y1)))), g(g(g(g(g(g(g(y2)))))))) -> c3(F(g(g(g(y0))), g(g(g(g(y1)))), g(g(g(g(g(g(y2)))))))) F(g(g(g(g(g(y0))))), g(g(g(g(y1)))), g(g(g(g(g(g(y2))))))) -> c3(F(g(g(g(g(g(y0))))), g(g(g(g(y1)))), g(g(g(g(g(y2))))))) F(g(g(g(g(0)))), g(g(g(g(1)))), g(g(g(g(g(g(y0))))))) -> c3(F(g(g(g(g(0)))), g(g(g(g(1)))), g(g(g(g(g(y0))))))) F(g(g(g(g(y0)))), g(g(g(g(y1)))), g(g(g(g(g(g(g(y2)))))))) -> c3(F(g(g(g(g(y0)))), g(g(g(g(y1)))), g(g(g(g(g(g(y2)))))))) F(g(g(0)), g(g(g(1))), g(g(g(g(g(g(g(g(y0))))))))) -> c3(F(g(g(0)), g(g(g(1))), g(g(g(g(g(g(g(y0))))))))) F(g(g(y0)), g(g(g(g(g(y1))))), g(g(g(g(g(g(g(y2)))))))) -> c3(F(g(g(y0)), g(g(g(g(g(y1))))), g(g(g(g(g(g(y2)))))))) F(g(g(0)), g(g(g(g(g(1))))), g(g(g(g(g(g(y0))))))) -> c3(F(g(g(0)), g(g(g(g(g(1))))), g(g(g(g(g(y0))))))) F(g(g(g(0))), g(g(g(g(g(1))))), g(g(g(g(g(g(y0))))))) -> c3(F(g(g(g(0))), g(g(g(g(g(1))))), g(g(g(g(g(y0))))))) F(g(g(g(y0))), g(g(g(g(g(y1))))), g(g(g(g(g(g(g(y2)))))))) -> c3(F(g(g(g(y0))), g(g(g(g(g(y1))))), g(g(g(g(g(g(y2)))))))) F(g(g(g(g(g(y0))))), g(g(g(g(g(y1))))), g(g(g(g(g(g(y2))))))) -> c3(F(g(g(g(g(g(y0))))), g(g(g(g(g(y1))))), g(g(g(g(g(y2))))))) F(g(g(g(g(0)))), g(g(g(g(g(1))))), g(g(g(g(g(g(y0))))))) -> c3(F(g(g(g(g(0)))), g(g(g(g(g(1))))), g(g(g(g(g(y0))))))) F(g(g(g(g(y0)))), g(g(g(g(g(y1))))), g(g(g(g(g(g(g(y2)))))))) -> c3(F(g(g(g(g(y0)))), g(g(g(g(g(y1))))), g(g(g(g(g(g(y2)))))))) F(g(g(0)), g(g(g(g(1)))), g(g(g(g(g(g(g(g(y0))))))))) -> c3(F(g(g(0)), g(g(g(g(1)))), g(g(g(g(g(g(g(y0))))))))) F(g(g(y0)), g(g(g(g(g(g(g(y1))))))), g(g(g(g(g(g(y2))))))) -> c3(F(g(g(y0)), g(g(g(g(g(g(g(y1))))))), g(g(g(g(g(y2))))))) F(g(g(y0)), g(g(g(g(g(g(y1)))))), g(g(g(g(g(g(g(y2)))))))) -> c3(F(g(g(y0)), g(g(g(g(g(g(y1)))))), g(g(g(g(g(g(y2)))))))) F(g(g(0)), g(g(g(g(g(g(1)))))), g(g(g(g(g(g(y0))))))) -> c3(F(g(g(0)), g(g(g(g(g(g(1)))))), g(g(g(g(g(y0))))))) F(g(g(g(y0))), g(g(g(g(g(g(g(y1))))))), g(g(g(g(g(g(y2))))))) -> c3(F(g(g(g(y0))), g(g(g(g(g(g(g(y1))))))), g(g(g(g(g(y2))))))) F(g(g(g(0))), g(g(g(g(g(g(1)))))), g(g(g(g(g(g(y0))))))) -> c3(F(g(g(g(0))), g(g(g(g(g(g(1)))))), g(g(g(g(g(y0))))))) F(g(g(g(y0))), g(g(g(g(g(g(y1)))))), g(g(g(g(g(g(g(y2)))))))) -> c3(F(g(g(g(y0))), g(g(g(g(g(g(y1)))))), g(g(g(g(g(g(y2)))))))) F(g(g(g(g(g(y0))))), g(g(g(g(g(g(y1)))))), g(g(g(g(g(g(y2))))))) -> c3(F(g(g(g(g(g(y0))))), g(g(g(g(g(g(y1)))))), g(g(g(g(g(y2))))))) F(g(g(g(g(y0)))), g(g(g(g(g(g(g(y1))))))), g(g(g(g(g(g(y2))))))) -> c3(F(g(g(g(g(y0)))), g(g(g(g(g(g(g(y1))))))), g(g(g(g(g(y2))))))) F(g(g(g(g(0)))), g(g(g(g(g(g(1)))))), g(g(g(g(g(g(y0))))))) -> c3(F(g(g(g(g(0)))), g(g(g(g(g(g(1)))))), g(g(g(g(g(y0))))))) F(g(g(g(g(y0)))), g(g(g(g(g(g(y1)))))), g(g(g(g(g(g(g(y2)))))))) -> c3(F(g(g(g(g(y0)))), g(g(g(g(g(g(y1)))))), g(g(g(g(g(g(y2)))))))) Defined Rule Symbols:none Defined Pair Symbols: F_3 Compound Symbols: c3_1, c1_1, c_1, c2_1 ---------------------------------------- (81) CdtForwardInstantiationProof (BOTH BOUNDS(ID, ID)) Use forward instantiation to replace F(z0, g(y1), g(g(y2))) -> c3(F(z0, g(y1), g(y2))) by F(z0, g(z1), g(g(g(y2)))) -> c3(F(z0, g(z1), g(g(y2)))) F(g(0), g(1), g(g(z2))) -> c3(F(g(0), g(1), g(z2))) F(g(g(y0)), g(z1), g(g(z2))) -> c3(F(g(g(y0)), g(z1), g(z2))) F(g(y0), g(g(y1)), g(g(z2))) -> c3(F(g(y0), g(g(y1)), g(z2))) F(g(y0), g(z1), g(g(g(y2)))) -> c3(F(g(y0), g(z1), g(g(y2)))) F(g(g(g(y0))), g(z1), g(g(z2))) -> c3(F(g(g(g(y0))), g(z1), g(z2))) F(g(g(y0)), g(g(y1)), g(g(z2))) -> c3(F(g(g(y0)), g(g(y1)), g(z2))) F(g(g(0)), g(1), g(g(z2))) -> c3(F(g(g(0)), g(1), g(z2))) F(g(g(y0)), g(z1), g(g(g(y2)))) -> c3(F(g(g(y0)), g(z1), g(g(y2)))) F(g(y0), g(z1), g(g(z2))) -> c3(F(g(y0), g(z1), g(z2))) F(g(g(g(g(y0)))), g(z1), g(g(z2))) -> c3(F(g(g(g(g(y0)))), g(z1), g(z2))) F(g(g(g(y0))), g(g(y1)), g(g(z2))) -> c3(F(g(g(g(y0))), g(g(y1)), g(z2))) F(g(g(g(0))), g(1), g(g(z2))) -> c3(F(g(g(g(0))), g(1), g(z2))) F(g(g(g(y0))), g(z1), g(g(g(y2)))) -> c3(F(g(g(g(y0))), g(z1), g(g(y2)))) F(g(g(g(g(g(y0))))), g(z1), g(g(z2))) -> c3(F(g(g(g(g(g(y0))))), g(z1), g(z2))) F(g(g(g(g(y0)))), g(g(y1)), g(g(z2))) -> c3(F(g(g(g(g(y0)))), g(g(y1)), g(z2))) F(g(g(g(g(0)))), g(1), g(g(z2))) -> c3(F(g(g(g(g(0)))), g(1), g(z2))) F(g(g(g(g(y0)))), g(z1), g(g(g(y2)))) -> c3(F(g(g(g(g(y0)))), g(z1), g(g(y2)))) F(0, g(1), g(g(z2))) -> c3(F(0, g(1), g(z2))) F(0, g(1), g(g(g(y0)))) -> c3(F(0, g(1), g(g(y0)))) F(0, g(1), g(g(g(g(y0))))) -> c3(F(0, g(1), g(g(g(y0))))) F(z0, g(g(g(y1))), g(g(z2))) -> c3(F(z0, g(g(g(y1))), g(z2))) F(z0, g(g(y1)), g(g(z2))) -> c3(F(z0, g(g(y1)), g(z2))) F(g(0), g(g(1)), g(g(z2))) -> c3(F(g(0), g(g(1)), g(z2))) F(g(y0), g(g(g(y1))), g(g(z2))) -> c3(F(g(y0), g(g(g(y1))), g(z2))) F(z0, g(g(y1)), g(g(g(y2)))) -> c3(F(z0, g(g(y1)), g(g(y2)))) F(g(y0), g(g(y1)), g(g(g(y2)))) -> c3(F(g(y0), g(g(y1)), g(g(y2)))) F(0, g(g(1)), g(g(z2))) -> c3(F(0, g(g(1)), g(z2))) F(g(g(y0)), g(g(g(y1))), g(g(z2))) -> c3(F(g(g(y0)), g(g(g(y1))), g(z2))) F(g(g(0)), g(g(1)), g(g(z2))) -> c3(F(g(g(0)), g(g(1)), g(z2))) F(g(g(y0)), g(g(y1)), g(g(g(y2)))) -> c3(F(g(g(y0)), g(g(y1)), g(g(y2)))) F(g(g(g(y0))), g(g(g(y1))), g(g(z2))) -> c3(F(g(g(g(y0))), g(g(g(y1))), g(z2))) F(g(g(g(0))), g(g(1)), g(g(z2))) -> c3(F(g(g(g(0))), g(g(1)), g(z2))) F(g(g(g(y0))), g(g(y1)), g(g(g(y2)))) -> c3(F(g(g(g(y0))), g(g(y1)), g(g(y2)))) F(g(g(g(g(g(y0))))), g(g(y1)), g(g(z2))) -> c3(F(g(g(g(g(g(y0))))), g(g(y1)), g(z2))) F(g(g(g(g(y0)))), g(g(g(y1))), g(g(z2))) -> c3(F(g(g(g(g(y0)))), g(g(g(y1))), g(z2))) F(g(g(g(g(0)))), g(g(1)), g(g(z2))) -> c3(F(g(g(g(g(0)))), g(g(1)), g(z2))) F(g(g(g(g(y0)))), g(g(y1)), g(g(g(y2)))) -> c3(F(g(g(g(g(y0)))), g(g(y1)), g(g(y2)))) F(0, g(g(1)), g(g(g(y0)))) -> c3(F(0, g(g(1)), g(g(y0)))) F(0, g(g(1)), g(g(g(g(y0))))) -> c3(F(0, g(g(1)), g(g(g(y0))))) F(g(0), g(1), g(g(g(y0)))) -> c3(F(g(0), g(1), g(g(y0)))) F(g(0), g(1), g(g(g(g(y0))))) -> c3(F(g(0), g(1), g(g(g(y0))))) F(g(g(0)), g(1), g(g(g(y0)))) -> c3(F(g(g(0)), g(1), g(g(y0)))) F(g(g(0)), g(1), g(g(g(g(y0))))) -> c3(F(g(g(0)), g(1), g(g(g(y0))))) F(z0, g(g(g(g(y1)))), g(g(z2))) -> c3(F(z0, g(g(g(g(y1)))), g(z2))) F(g(0), g(g(g(1))), g(g(z2))) -> c3(F(g(0), g(g(g(1))), g(z2))) F(g(y0), g(g(g(g(y1)))), g(g(z2))) -> c3(F(g(y0), g(g(g(g(y1)))), g(z2))) F(z0, g(g(g(y1))), g(g(g(y2)))) -> c3(F(z0, g(g(g(y1))), g(g(y2)))) F(g(y0), g(g(g(y1))), g(g(g(y2)))) -> c3(F(g(y0), g(g(g(y1))), g(g(y2)))) F(0, g(g(g(1))), g(g(z2))) -> c3(F(0, g(g(g(1))), g(z2))) F(g(g(y0)), g(g(g(g(y1)))), g(g(z2))) -> c3(F(g(g(y0)), g(g(g(g(y1)))), g(z2))) F(g(g(0)), g(g(g(1))), g(g(z2))) -> c3(F(g(g(0)), g(g(g(1))), g(z2))) F(g(g(y0)), g(g(g(y1))), g(g(g(y2)))) -> c3(F(g(g(y0)), g(g(g(y1))), g(g(y2)))) F(g(g(g(y0))), g(g(g(g(y1)))), g(g(z2))) -> c3(F(g(g(g(y0))), g(g(g(g(y1)))), g(z2))) F(g(g(g(0))), g(g(g(1))), g(g(z2))) -> c3(F(g(g(g(0))), g(g(g(1))), g(z2))) F(g(g(g(y0))), g(g(g(y1))), g(g(g(y2)))) -> c3(F(g(g(g(y0))), g(g(g(y1))), g(g(y2)))) F(g(g(g(g(g(y0))))), g(g(g(y1))), g(g(z2))) -> c3(F(g(g(g(g(g(y0))))), g(g(g(y1))), g(z2))) F(g(g(g(g(y0)))), g(g(g(g(y1)))), g(g(z2))) -> c3(F(g(g(g(g(y0)))), g(g(g(g(y1)))), g(z2))) F(g(g(g(g(0)))), g(g(g(1))), g(g(z2))) -> c3(F(g(g(g(g(0)))), g(g(g(1))), g(z2))) F(g(g(g(g(y0)))), g(g(g(y1))), g(g(g(y2)))) -> c3(F(g(g(g(g(y0)))), g(g(g(y1))), g(g(y2)))) F(0, g(g(g(1))), g(g(g(y0)))) -> c3(F(0, g(g(g(1))), g(g(y0)))) F(0, g(g(g(1))), g(g(g(g(y0))))) -> c3(F(0, g(g(g(1))), g(g(g(y0))))) F(g(g(0)), g(g(1)), g(g(g(y0)))) -> c3(F(g(g(0)), g(g(1)), g(g(y0)))) F(g(g(0)), g(g(1)), g(g(g(g(y0))))) -> c3(F(g(g(0)), g(g(1)), g(g(g(y0))))) F(g(g(y0)), g(g(g(g(g(y1))))), g(g(z2))) -> c3(F(g(g(y0)), g(g(g(g(g(y1))))), g(z2))) F(g(g(y0)), g(g(g(g(y1)))), g(g(g(y2)))) -> c3(F(g(g(y0)), g(g(g(g(y1)))), g(g(y2)))) F(g(g(0)), g(g(g(g(1)))), g(g(z2))) -> c3(F(g(g(0)), g(g(g(g(1)))), g(z2))) F(g(g(g(y0))), g(g(g(g(g(y1))))), g(g(z2))) -> c3(F(g(g(g(y0))), g(g(g(g(g(y1))))), g(z2))) F(g(g(g(0))), g(g(g(g(1)))), g(g(z2))) -> c3(F(g(g(g(0))), g(g(g(g(1)))), g(z2))) F(g(g(g(y0))), g(g(g(g(y1)))), g(g(g(y2)))) -> c3(F(g(g(g(y0))), g(g(g(g(y1)))), g(g(y2)))) F(g(g(g(g(g(y0))))), g(g(g(g(y1)))), g(g(z2))) -> c3(F(g(g(g(g(g(y0))))), g(g(g(g(y1)))), g(z2))) F(g(g(g(g(y0)))), g(g(g(g(g(y1))))), g(g(z2))) -> c3(F(g(g(g(g(y0)))), g(g(g(g(g(y1))))), g(z2))) F(g(g(g(g(0)))), g(g(g(g(1)))), g(g(z2))) -> c3(F(g(g(g(g(0)))), g(g(g(g(1)))), g(z2))) F(g(g(g(g(y0)))), g(g(g(g(y1)))), g(g(g(y2)))) -> c3(F(g(g(g(g(y0)))), g(g(g(g(y1)))), g(g(y2)))) F(g(0), g(g(1)), g(g(g(y0)))) -> c3(F(g(0), g(g(1)), g(g(y0)))) F(g(0), g(g(1)), g(g(g(g(y0))))) -> c3(F(g(0), g(g(1)), g(g(g(y0))))) F(g(y0), g(g(g(g(g(y1))))), g(g(z2))) -> c3(F(g(y0), g(g(g(g(g(y1))))), g(z2))) F(g(0), g(g(g(g(1)))), g(g(z2))) -> c3(F(g(0), g(g(g(g(1)))), g(z2))) F(g(y0), g(g(g(g(y1)))), g(g(g(y2)))) -> c3(F(g(y0), g(g(g(g(y1)))), g(g(y2)))) F(g(g(0)), g(g(g(1))), g(g(g(y0)))) -> c3(F(g(g(0)), g(g(g(1))), g(g(y0)))) F(g(g(0)), g(g(g(1))), g(g(g(g(y0))))) -> c3(F(g(g(0)), g(g(g(1))), g(g(g(y0))))) F(g(g(y0)), g(g(g(g(g(g(y1)))))), g(g(z2))) -> c3(F(g(g(y0)), g(g(g(g(g(g(y1)))))), g(z2))) F(g(g(y0)), g(g(g(g(g(y1))))), g(g(g(y2)))) -> c3(F(g(g(y0)), g(g(g(g(g(y1))))), g(g(y2)))) F(g(g(0)), g(g(g(g(g(1))))), g(g(z2))) -> c3(F(g(g(0)), g(g(g(g(g(1))))), g(z2))) F(g(g(g(y0))), g(g(g(g(g(g(y1)))))), g(g(z2))) -> c3(F(g(g(g(y0))), g(g(g(g(g(g(y1)))))), g(z2))) F(g(g(g(0))), g(g(g(g(g(1))))), g(g(z2))) -> c3(F(g(g(g(0))), g(g(g(g(g(1))))), g(z2))) F(g(g(g(y0))), g(g(g(g(g(y1))))), g(g(g(y2)))) -> c3(F(g(g(g(y0))), g(g(g(g(g(y1))))), g(g(y2)))) F(g(g(g(g(g(y0))))), g(g(g(g(g(y1))))), g(g(z2))) -> c3(F(g(g(g(g(g(y0))))), g(g(g(g(g(y1))))), g(z2))) F(g(g(g(g(y0)))), g(g(g(g(g(g(y1)))))), g(g(z2))) -> c3(F(g(g(g(g(y0)))), g(g(g(g(g(g(y1)))))), g(z2))) F(g(g(g(g(0)))), g(g(g(g(g(1))))), g(g(z2))) -> c3(F(g(g(g(g(0)))), g(g(g(g(g(1))))), g(z2))) F(g(g(g(g(y0)))), g(g(g(g(g(y1))))), g(g(g(y2)))) -> c3(F(g(g(g(g(y0)))), g(g(g(g(g(y1))))), g(g(y2)))) F(g(0), g(g(g(1))), g(g(g(y0)))) -> c3(F(g(0), g(g(g(1))), g(g(y0)))) F(g(0), g(g(g(1))), g(g(g(g(y0))))) -> c3(F(g(0), g(g(g(1))), g(g(g(y0))))) F(g(y0), g(g(g(g(g(g(y1)))))), g(g(z2))) -> c3(F(g(y0), g(g(g(g(g(g(y1)))))), g(z2))) F(g(0), g(g(g(g(g(1))))), g(g(z2))) -> c3(F(g(0), g(g(g(g(g(1))))), g(z2))) F(g(y0), g(g(g(g(g(y1))))), g(g(g(y2)))) -> c3(F(g(y0), g(g(g(g(g(y1))))), g(g(y2)))) F(g(g(0)), g(g(g(g(1)))), g(g(g(y0)))) -> c3(F(g(g(0)), g(g(g(g(1)))), g(g(y0)))) F(g(g(0)), g(g(g(g(1)))), g(g(g(g(y0))))) -> c3(F(g(g(0)), g(g(g(g(1)))), g(g(g(y0))))) F(g(g(y0)), g(g(g(g(g(g(g(y1))))))), g(g(z2))) -> c3(F(g(g(y0)), g(g(g(g(g(g(g(y1))))))), g(z2))) F(g(g(y0)), g(g(g(g(g(g(y1)))))), g(g(g(y2)))) -> c3(F(g(g(y0)), g(g(g(g(g(g(y1)))))), g(g(y2)))) F(g(g(0)), g(g(g(g(g(g(1)))))), g(g(z2))) -> c3(F(g(g(0)), g(g(g(g(g(g(1)))))), g(z2))) F(g(g(g(y0))), g(g(g(g(g(g(g(y1))))))), g(g(z2))) -> c3(F(g(g(g(y0))), g(g(g(g(g(g(g(y1))))))), g(z2))) F(g(g(g(0))), g(g(g(g(g(g(1)))))), g(g(z2))) -> c3(F(g(g(g(0))), g(g(g(g(g(g(1)))))), g(z2))) F(g(g(g(y0))), g(g(g(g(g(g(y1)))))), g(g(g(y2)))) -> c3(F(g(g(g(y0))), g(g(g(g(g(g(y1)))))), g(g(y2)))) F(g(g(g(g(g(y0))))), g(g(g(g(g(g(y1)))))), g(g(z2))) -> c3(F(g(g(g(g(g(y0))))), g(g(g(g(g(g(y1)))))), g(z2))) F(g(g(g(g(y0)))), g(g(g(g(g(g(g(y1))))))), g(g(z2))) -> c3(F(g(g(g(g(y0)))), g(g(g(g(g(g(g(y1))))))), g(z2))) F(g(g(g(g(0)))), g(g(g(g(g(g(1)))))), g(g(z2))) -> c3(F(g(g(g(g(0)))), g(g(g(g(g(g(1)))))), g(z2))) F(g(g(g(g(y0)))), g(g(g(g(g(g(y1)))))), g(g(g(y2)))) -> c3(F(g(g(g(g(y0)))), g(g(g(g(g(g(y1)))))), g(g(y2)))) F(z0, g(z1), g(g(g(g(y2))))) -> c3(F(z0, g(z1), g(g(g(y2))))) F(g(y0), g(z1), g(g(g(g(y2))))) -> c3(F(g(y0), g(z1), g(g(g(y2))))) F(g(g(y0)), g(z1), g(g(g(g(y2))))) -> c3(F(g(g(y0)), g(z1), g(g(g(y2))))) F(g(g(g(0))), g(1), g(g(g(y0)))) -> c3(F(g(g(g(0))), g(1), g(g(y0)))) F(g(g(g(y0))), g(z1), g(g(g(g(y2))))) -> c3(F(g(g(g(y0))), g(z1), g(g(g(y2))))) F(g(g(g(g(g(y0))))), g(z1), g(g(g(y2)))) -> c3(F(g(g(g(g(g(y0))))), g(z1), g(g(y2)))) F(g(g(g(g(0)))), g(1), g(g(g(y0)))) -> c3(F(g(g(g(g(0)))), g(1), g(g(y0)))) F(g(g(g(g(y0)))), g(z1), g(g(g(g(y2))))) -> c3(F(g(g(g(g(y0)))), g(z1), g(g(g(y2))))) F(0, g(1), g(g(g(g(g(y0)))))) -> c3(F(0, g(1), g(g(g(g(y0)))))) F(z0, g(g(y1)), g(g(g(g(y2))))) -> c3(F(z0, g(g(y1)), g(g(g(y2))))) F(g(y0), g(g(y1)), g(g(g(g(y2))))) -> c3(F(g(y0), g(g(y1)), g(g(g(y2))))) F(g(g(y0)), g(g(y1)), g(g(g(g(y2))))) -> c3(F(g(g(y0)), g(g(y1)), g(g(g(y2))))) F(g(g(g(0))), g(g(1)), g(g(g(y0)))) -> c3(F(g(g(g(0))), g(g(1)), g(g(y0)))) F(g(g(g(y0))), g(g(y1)), g(g(g(g(y2))))) -> c3(F(g(g(g(y0))), g(g(y1)), g(g(g(y2))))) F(g(g(g(g(g(y0))))), g(g(y1)), g(g(g(y2)))) -> c3(F(g(g(g(g(g(y0))))), g(g(y1)), g(g(y2)))) F(g(g(g(g(0)))), g(g(1)), g(g(g(y0)))) -> c3(F(g(g(g(g(0)))), g(g(1)), g(g(y0)))) F(g(g(g(g(y0)))), g(g(y1)), g(g(g(g(y2))))) -> c3(F(g(g(g(g(y0)))), g(g(y1)), g(g(g(y2))))) F(0, g(g(1)), g(g(g(g(g(y0)))))) -> c3(F(0, g(g(1)), g(g(g(g(y0)))))) F(g(0), g(1), g(g(g(g(g(y0)))))) -> c3(F(g(0), g(1), g(g(g(g(y0)))))) F(g(g(0)), g(1), g(g(g(g(g(y0)))))) -> c3(F(g(g(0)), g(1), g(g(g(g(y0)))))) F(z0, g(g(g(g(y1)))), g(g(g(y2)))) -> c3(F(z0, g(g(g(g(y1)))), g(g(y2)))) F(z0, g(g(g(y1))), g(g(g(g(y2))))) -> c3(F(z0, g(g(g(y1))), g(g(g(y2))))) F(g(y0), g(g(g(y1))), g(g(g(g(y2))))) -> c3(F(g(y0), g(g(g(y1))), g(g(g(y2))))) F(g(g(y0)), g(g(g(y1))), g(g(g(g(y2))))) -> c3(F(g(g(y0)), g(g(g(y1))), g(g(g(y2))))) F(g(g(g(0))), g(g(g(1))), g(g(g(y0)))) -> c3(F(g(g(g(0))), g(g(g(1))), g(g(y0)))) F(g(g(g(y0))), g(g(g(y1))), g(g(g(g(y2))))) -> c3(F(g(g(g(y0))), g(g(g(y1))), g(g(g(y2))))) F(g(g(g(g(g(y0))))), g(g(g(y1))), g(g(g(y2)))) -> c3(F(g(g(g(g(g(y0))))), g(g(g(y1))), g(g(y2)))) F(g(g(g(g(0)))), g(g(g(1))), g(g(g(y0)))) -> c3(F(g(g(g(g(0)))), g(g(g(1))), g(g(y0)))) F(g(g(g(g(y0)))), g(g(g(y1))), g(g(g(g(y2))))) -> c3(F(g(g(g(g(y0)))), g(g(g(y1))), g(g(g(y2))))) F(0, g(g(g(1))), g(g(g(g(g(y0)))))) -> c3(F(0, g(g(g(1))), g(g(g(g(y0)))))) F(g(g(0)), g(g(1)), g(g(g(g(g(y0)))))) -> c3(F(g(g(0)), g(g(1)), g(g(g(g(y0)))))) F(g(g(y0)), g(g(g(g(y1)))), g(g(g(g(y2))))) -> c3(F(g(g(y0)), g(g(g(g(y1)))), g(g(g(y2))))) F(g(g(g(0))), g(g(g(g(1)))), g(g(g(y0)))) -> c3(F(g(g(g(0))), g(g(g(g(1)))), g(g(y0)))) F(g(g(g(y0))), g(g(g(g(y1)))), g(g(g(g(y2))))) -> c3(F(g(g(g(y0))), g(g(g(g(y1)))), g(g(g(y2))))) F(g(g(g(g(g(y0))))), g(g(g(g(y1)))), g(g(g(y2)))) -> c3(F(g(g(g(g(g(y0))))), g(g(g(g(y1)))), g(g(y2)))) F(g(g(g(g(0)))), g(g(g(g(1)))), g(g(g(y0)))) -> c3(F(g(g(g(g(0)))), g(g(g(g(1)))), g(g(y0)))) F(g(g(g(g(y0)))), g(g(g(g(y1)))), g(g(g(g(y2))))) -> c3(F(g(g(g(g(y0)))), g(g(g(g(y1)))), g(g(g(y2))))) F(g(0), g(g(1)), g(g(g(g(g(y0)))))) -> c3(F(g(0), g(g(1)), g(g(g(g(y0)))))) F(g(0), g(g(g(g(1)))), g(g(g(y0)))) -> c3(F(g(0), g(g(g(g(1)))), g(g(y0)))) F(g(y0), g(g(g(g(y1)))), g(g(g(g(y2))))) -> c3(F(g(y0), g(g(g(g(y1)))), g(g(g(y2))))) F(g(g(0)), g(g(g(1))), g(g(g(g(g(y0)))))) -> c3(F(g(g(0)), g(g(g(1))), g(g(g(g(y0)))))) F(g(g(y0)), g(g(g(g(g(y1))))), g(g(g(g(y2))))) -> c3(F(g(g(y0)), g(g(g(g(g(y1))))), g(g(g(y2))))) F(g(g(0)), g(g(g(g(g(1))))), g(g(g(y0)))) -> c3(F(g(g(0)), g(g(g(g(g(1))))), g(g(y0)))) F(g(g(g(0))), g(g(g(g(g(1))))), g(g(g(y0)))) -> c3(F(g(g(g(0))), g(g(g(g(g(1))))), g(g(y0)))) F(g(g(g(y0))), g(g(g(g(g(y1))))), g(g(g(g(y2))))) -> c3(F(g(g(g(y0))), g(g(g(g(g(y1))))), g(g(g(y2))))) F(g(g(g(g(g(y0))))), g(g(g(g(g(y1))))), g(g(g(y2)))) -> c3(F(g(g(g(g(g(y0))))), g(g(g(g(g(y1))))), g(g(y2)))) F(g(g(g(g(0)))), g(g(g(g(g(1))))), g(g(g(y0)))) -> c3(F(g(g(g(g(0)))), g(g(g(g(g(1))))), g(g(y0)))) F(g(g(g(g(y0)))), g(g(g(g(g(y1))))), g(g(g(g(y2))))) -> c3(F(g(g(g(g(y0)))), g(g(g(g(g(y1))))), g(g(g(y2))))) F(g(0), g(g(g(1))), g(g(g(g(g(y0)))))) -> c3(F(g(0), g(g(g(1))), g(g(g(g(y0)))))) F(g(y0), g(g(g(g(g(g(y1)))))), g(g(g(y2)))) -> c3(F(g(y0), g(g(g(g(g(g(y1)))))), g(g(y2)))) F(g(0), g(g(g(g(g(1))))), g(g(g(y0)))) -> c3(F(g(0), g(g(g(g(g(1))))), g(g(y0)))) F(g(y0), g(g(g(g(g(y1))))), g(g(g(g(y2))))) -> c3(F(g(y0), g(g(g(g(g(y1))))), g(g(g(y2))))) F(g(g(0)), g(g(g(g(1)))), g(g(g(g(g(y0)))))) -> c3(F(g(g(0)), g(g(g(g(1)))), g(g(g(g(y0)))))) F(g(g(y0)), g(g(g(g(g(g(g(y1))))))), g(g(g(y2)))) -> c3(F(g(g(y0)), g(g(g(g(g(g(g(y1))))))), g(g(y2)))) F(g(g(y0)), g(g(g(g(g(g(y1)))))), g(g(g(g(y2))))) -> c3(F(g(g(y0)), g(g(g(g(g(g(y1)))))), g(g(g(y2))))) F(g(g(0)), g(g(g(g(g(g(1)))))), g(g(g(y0)))) -> c3(F(g(g(0)), g(g(g(g(g(g(1)))))), g(g(y0)))) F(g(g(g(y0))), g(g(g(g(g(g(g(y1))))))), g(g(g(y2)))) -> c3(F(g(g(g(y0))), g(g(g(g(g(g(g(y1))))))), g(g(y2)))) F(g(g(g(0))), g(g(g(g(g(g(1)))))), g(g(g(y0)))) -> c3(F(g(g(g(0))), g(g(g(g(g(g(1)))))), g(g(y0)))) F(g(g(g(y0))), g(g(g(g(g(g(y1)))))), g(g(g(g(y2))))) -> c3(F(g(g(g(y0))), g(g(g(g(g(g(y1)))))), g(g(g(y2))))) F(g(g(g(g(g(y0))))), g(g(g(g(g(g(y1)))))), g(g(g(y2)))) -> c3(F(g(g(g(g(g(y0))))), g(g(g(g(g(g(y1)))))), g(g(y2)))) F(g(g(g(g(y0)))), g(g(g(g(g(g(g(y1))))))), g(g(g(y2)))) -> c3(F(g(g(g(g(y0)))), g(g(g(g(g(g(g(y1))))))), g(g(y2)))) F(g(g(g(g(0)))), g(g(g(g(g(g(1)))))), g(g(g(y0)))) -> c3(F(g(g(g(g(0)))), g(g(g(g(g(g(1)))))), g(g(y0)))) F(g(g(g(g(y0)))), g(g(g(g(g(g(y1)))))), g(g(g(g(y2))))) -> c3(F(g(g(g(g(y0)))), g(g(g(g(g(g(y1)))))), g(g(g(y2))))) F(g(g(y0)), g(z1), g(g(g(g(g(y2)))))) -> c3(F(g(g(y0)), g(z1), g(g(g(g(y2)))))) F(g(g(g(0))), g(1), g(g(g(g(y0))))) -> c3(F(g(g(g(0))), g(1), g(g(g(y0))))) F(g(g(g(y0))), g(z1), g(g(g(g(g(y2)))))) -> c3(F(g(g(g(y0))), g(z1), g(g(g(g(y2)))))) F(g(g(g(g(g(y0))))), g(z1), g(g(g(g(y2))))) -> c3(F(g(g(g(g(g(y0))))), g(z1), g(g(g(y2))))) F(g(g(g(g(0)))), g(1), g(g(g(g(y0))))) -> c3(F(g(g(g(g(0)))), g(1), g(g(g(y0))))) F(g(g(g(g(y0)))), g(z1), g(g(g(g(g(y2)))))) -> c3(F(g(g(g(g(y0)))), g(z1), g(g(g(g(y2)))))) F(g(g(y0)), g(g(y1)), g(g(g(g(g(y2)))))) -> c3(F(g(g(y0)), g(g(y1)), g(g(g(g(y2)))))) F(g(g(g(0))), g(g(1)), g(g(g(g(y0))))) -> c3(F(g(g(g(0))), g(g(1)), g(g(g(y0))))) F(g(g(g(y0))), g(g(y1)), g(g(g(g(g(y2)))))) -> c3(F(g(g(g(y0))), g(g(y1)), g(g(g(g(y2)))))) F(g(g(g(g(g(y0))))), g(g(y1)), g(g(g(g(y2))))) -> c3(F(g(g(g(g(g(y0))))), g(g(y1)), g(g(g(y2))))) F(g(g(g(g(0)))), g(g(1)), g(g(g(g(y0))))) -> c3(F(g(g(g(g(0)))), g(g(1)), g(g(g(y0))))) F(g(g(g(g(y0)))), g(g(y1)), g(g(g(g(g(y2)))))) -> c3(F(g(g(g(g(y0)))), g(g(y1)), g(g(g(g(y2)))))) F(g(g(0)), g(1), g(g(g(g(g(g(y0))))))) -> c3(F(g(g(0)), g(1), g(g(g(g(g(y0))))))) F(g(g(y0)), g(g(g(y1))), g(g(g(g(g(y2)))))) -> c3(F(g(g(y0)), g(g(g(y1))), g(g(g(g(y2)))))) F(g(g(g(0))), g(g(g(1))), g(g(g(g(y0))))) -> c3(F(g(g(g(0))), g(g(g(1))), g(g(g(y0))))) F(g(g(g(y0))), g(g(g(y1))), g(g(g(g(g(y2)))))) -> c3(F(g(g(g(y0))), g(g(g(y1))), g(g(g(g(y2)))))) F(g(g(g(g(g(y0))))), g(g(g(y1))), g(g(g(g(y2))))) -> c3(F(g(g(g(g(g(y0))))), g(g(g(y1))), g(g(g(y2))))) F(g(g(g(g(0)))), g(g(g(1))), g(g(g(g(y0))))) -> c3(F(g(g(g(g(0)))), g(g(g(1))), g(g(g(y0))))) F(g(g(g(g(y0)))), g(g(g(y1))), g(g(g(g(g(y2)))))) -> c3(F(g(g(g(g(y0)))), g(g(g(y1))), g(g(g(g(y2)))))) F(g(g(0)), g(g(1)), g(g(g(g(g(g(y0))))))) -> c3(F(g(g(0)), g(g(1)), g(g(g(g(g(y0))))))) F(g(g(y0)), g(g(g(g(y1)))), g(g(g(g(g(y2)))))) -> c3(F(g(g(y0)), g(g(g(g(y1)))), g(g(g(g(y2)))))) F(g(g(g(0))), g(g(g(g(1)))), g(g(g(g(y0))))) -> c3(F(g(g(g(0))), g(g(g(g(1)))), g(g(g(y0))))) F(g(g(g(y0))), g(g(g(g(y1)))), g(g(g(g(g(y2)))))) -> c3(F(g(g(g(y0))), g(g(g(g(y1)))), g(g(g(g(y2)))))) F(g(g(g(g(g(y0))))), g(g(g(g(y1)))), g(g(g(g(y2))))) -> c3(F(g(g(g(g(g(y0))))), g(g(g(g(y1)))), g(g(g(y2))))) F(g(g(g(g(0)))), g(g(g(g(1)))), g(g(g(g(y0))))) -> c3(F(g(g(g(g(0)))), g(g(g(g(1)))), g(g(g(y0))))) F(g(g(g(g(y0)))), g(g(g(g(y1)))), g(g(g(g(g(y2)))))) -> c3(F(g(g(g(g(y0)))), g(g(g(g(y1)))), g(g(g(g(y2)))))) F(g(g(0)), g(g(g(1))), g(g(g(g(g(g(y0))))))) -> c3(F(g(g(0)), g(g(g(1))), g(g(g(g(g(y0))))))) F(g(g(y0)), g(g(g(g(g(y1))))), g(g(g(g(g(y2)))))) -> c3(F(g(g(y0)), g(g(g(g(g(y1))))), g(g(g(g(y2)))))) F(g(g(0)), g(g(g(g(g(1))))), g(g(g(g(y0))))) -> c3(F(g(g(0)), g(g(g(g(g(1))))), g(g(g(y0))))) F(g(g(g(0))), g(g(g(g(g(1))))), g(g(g(g(y0))))) -> c3(F(g(g(g(0))), g(g(g(g(g(1))))), g(g(g(y0))))) F(g(g(g(y0))), g(g(g(g(g(y1))))), g(g(g(g(g(y2)))))) -> c3(F(g(g(g(y0))), g(g(g(g(g(y1))))), g(g(g(g(y2)))))) F(g(g(g(g(g(y0))))), g(g(g(g(g(y1))))), g(g(g(g(y2))))) -> c3(F(g(g(g(g(g(y0))))), g(g(g(g(g(y1))))), g(g(g(y2))))) F(g(g(g(g(0)))), g(g(g(g(g(1))))), g(g(g(g(y0))))) -> c3(F(g(g(g(g(0)))), g(g(g(g(g(1))))), g(g(g(y0))))) F(g(g(g(g(y0)))), g(g(g(g(g(y1))))), g(g(g(g(g(y2)))))) -> c3(F(g(g(g(g(y0)))), g(g(g(g(g(y1))))), g(g(g(g(y2)))))) F(g(g(0)), g(g(g(g(1)))), g(g(g(g(g(g(y0))))))) -> c3(F(g(g(0)), g(g(g(g(1)))), g(g(g(g(g(y0))))))) F(g(g(y0)), g(g(g(g(g(g(g(y1))))))), g(g(g(g(y2))))) -> c3(F(g(g(y0)), g(g(g(g(g(g(g(y1))))))), g(g(g(y2))))) F(g(g(y0)), g(g(g(g(g(g(y1)))))), g(g(g(g(g(y2)))))) -> c3(F(g(g(y0)), g(g(g(g(g(g(y1)))))), g(g(g(g(y2)))))) F(g(g(0)), g(g(g(g(g(g(1)))))), g(g(g(g(y0))))) -> c3(F(g(g(0)), g(g(g(g(g(g(1)))))), g(g(g(y0))))) F(g(g(g(y0))), g(g(g(g(g(g(g(y1))))))), g(g(g(g(y2))))) -> c3(F(g(g(g(y0))), g(g(g(g(g(g(g(y1))))))), g(g(g(y2))))) F(g(g(g(0))), g(g(g(g(g(g(1)))))), g(g(g(g(y0))))) -> c3(F(g(g(g(0))), g(g(g(g(g(g(1)))))), g(g(g(y0))))) F(g(g(g(y0))), g(g(g(g(g(g(y1)))))), g(g(g(g(g(y2)))))) -> c3(F(g(g(g(y0))), g(g(g(g(g(g(y1)))))), g(g(g(g(y2)))))) F(g(g(g(g(g(y0))))), g(g(g(g(g(g(y1)))))), g(g(g(g(y2))))) -> c3(F(g(g(g(g(g(y0))))), g(g(g(g(g(g(y1)))))), g(g(g(y2))))) F(g(g(g(g(y0)))), g(g(g(g(g(g(g(y1))))))), g(g(g(g(y2))))) -> c3(F(g(g(g(g(y0)))), g(g(g(g(g(g(g(y1))))))), g(g(g(y2))))) F(g(g(g(g(0)))), g(g(g(g(g(g(1)))))), g(g(g(g(y0))))) -> c3(F(g(g(g(g(0)))), g(g(g(g(g(g(1)))))), g(g(g(y0))))) F(g(g(g(g(y0)))), g(g(g(g(g(g(y1)))))), g(g(g(g(g(y2)))))) -> c3(F(g(g(g(g(y0)))), g(g(g(g(g(g(y1)))))), g(g(g(g(y2)))))) F(g(y0), g(z1), g(g(g(g(g(y2)))))) -> c3(F(g(y0), g(z1), g(g(g(g(y2)))))) F(g(y0), g(g(y1)), g(g(g(g(g(y2)))))) -> c3(F(g(y0), g(g(y1)), g(g(g(g(y2)))))) F(g(0), g(1), g(g(g(g(g(g(y0))))))) -> c3(F(g(0), g(1), g(g(g(g(g(y0))))))) F(g(y0), g(g(g(y1))), g(g(g(g(g(y2)))))) -> c3(F(g(y0), g(g(g(y1))), g(g(g(g(y2)))))) F(g(0), g(g(1)), g(g(g(g(g(g(y0))))))) -> c3(F(g(0), g(g(1)), g(g(g(g(g(y0))))))) F(g(0), g(g(g(g(1)))), g(g(g(g(y0))))) -> c3(F(g(0), g(g(g(g(1)))), g(g(g(y0))))) F(g(y0), g(g(g(g(y1)))), g(g(g(g(g(y2)))))) -> c3(F(g(y0), g(g(g(g(y1)))), g(g(g(g(y2)))))) F(g(0), g(g(g(1))), g(g(g(g(g(g(y0))))))) -> c3(F(g(0), g(g(g(1))), g(g(g(g(g(y0))))))) F(g(y0), g(g(g(g(g(g(y1)))))), g(g(g(g(y2))))) -> c3(F(g(y0), g(g(g(g(g(g(y1)))))), g(g(g(y2))))) F(g(0), g(g(g(g(g(1))))), g(g(g(g(y0))))) -> c3(F(g(0), g(g(g(g(g(1))))), g(g(g(y0))))) F(g(y0), g(g(g(g(g(y1))))), g(g(g(g(g(y2)))))) -> c3(F(g(y0), g(g(g(g(g(y1))))), g(g(g(g(y2)))))) F(g(g(y0)), g(z1), g(g(g(g(g(g(y2))))))) -> c3(F(g(g(y0)), g(z1), g(g(g(g(g(y2))))))) F(g(g(g(0))), g(1), g(g(g(g(g(y0)))))) -> c3(F(g(g(g(0))), g(1), g(g(g(g(y0)))))) F(g(g(g(y0))), g(z1), g(g(g(g(g(g(y2))))))) -> c3(F(g(g(g(y0))), g(z1), g(g(g(g(g(y2))))))) F(g(g(g(g(g(y0))))), g(z1), g(g(g(g(g(y2)))))) -> c3(F(g(g(g(g(g(y0))))), g(z1), g(g(g(g(y2)))))) F(g(g(g(g(0)))), g(1), g(g(g(g(g(y0)))))) -> c3(F(g(g(g(g(0)))), g(1), g(g(g(g(y0)))))) F(g(g(g(g(y0)))), g(z1), g(g(g(g(g(g(y2))))))) -> c3(F(g(g(g(g(y0)))), g(z1), g(g(g(g(g(y2))))))) F(g(g(y0)), g(g(y1)), g(g(g(g(g(g(y2))))))) -> c3(F(g(g(y0)), g(g(y1)), g(g(g(g(g(y2))))))) F(g(g(g(0))), g(g(1)), g(g(g(g(g(y0)))))) -> c3(F(g(g(g(0))), g(g(1)), g(g(g(g(y0)))))) F(g(g(g(y0))), g(g(y1)), g(g(g(g(g(g(y2))))))) -> c3(F(g(g(g(y0))), g(g(y1)), g(g(g(g(g(y2))))))) F(g(g(g(g(g(y0))))), g(g(y1)), g(g(g(g(g(y2)))))) -> c3(F(g(g(g(g(g(y0))))), g(g(y1)), g(g(g(g(y2)))))) F(g(g(g(g(0)))), g(g(1)), g(g(g(g(g(y0)))))) -> c3(F(g(g(g(g(0)))), g(g(1)), g(g(g(g(y0)))))) F(g(g(g(g(y0)))), g(g(y1)), g(g(g(g(g(g(y2))))))) -> c3(F(g(g(g(g(y0)))), g(g(y1)), g(g(g(g(g(y2))))))) 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g(g(g(g(g(g(y2)))))))) F(g(g(g(g(g(y0))))), g(g(g(g(g(y1))))), g(g(g(g(g(g(y2))))))) -> c3(F(g(g(g(g(g(y0))))), g(g(g(g(g(y1))))), g(g(g(g(g(y2))))))) F(g(g(g(g(0)))), g(g(g(g(g(1))))), g(g(g(g(g(g(y0))))))) -> c3(F(g(g(g(g(0)))), g(g(g(g(g(1))))), g(g(g(g(g(y0))))))) F(g(g(g(g(y0)))), g(g(g(g(g(y1))))), g(g(g(g(g(g(g(y2)))))))) -> c3(F(g(g(g(g(y0)))), g(g(g(g(g(y1))))), g(g(g(g(g(g(y2)))))))) F(g(g(0)), g(g(g(g(1)))), g(g(g(g(g(g(g(g(y0))))))))) -> c3(F(g(g(0)), g(g(g(g(1)))), g(g(g(g(g(g(g(y0))))))))) F(g(g(y0)), g(g(g(g(g(g(g(y1))))))), g(g(g(g(g(g(y2))))))) -> c3(F(g(g(y0)), g(g(g(g(g(g(g(y1))))))), g(g(g(g(g(y2))))))) F(g(g(y0)), g(g(g(g(g(g(y1)))))), g(g(g(g(g(g(g(y2)))))))) -> c3(F(g(g(y0)), g(g(g(g(g(g(y1)))))), g(g(g(g(g(g(y2)))))))) F(g(g(0)), g(g(g(g(g(g(1)))))), g(g(g(g(g(g(y0))))))) -> c3(F(g(g(0)), g(g(g(g(g(g(1)))))), g(g(g(g(g(y0))))))) F(g(g(g(y0))), g(g(g(g(g(g(g(y1))))))), g(g(g(g(g(g(y2))))))) -> c3(F(g(g(g(y0))), g(g(g(g(g(g(g(y1))))))), g(g(g(g(g(y2))))))) 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g(g(g(g(y1)))), g(g(g(g(y2))))) -> c3(F(z0, g(g(g(g(y1)))), g(g(g(y2))))) F(z0, g(g(g(y1))), g(g(g(g(g(y2)))))) -> c3(F(z0, g(g(g(y1))), g(g(g(g(y2)))))) F(0, g(g(g(1))), g(g(g(g(g(g(y0))))))) -> c3(F(0, g(g(g(1))), g(g(g(g(g(y0))))))) F(g(y0), g(g(y1)), g(g(g(g(g(g(g(y2)))))))) -> c3(F(g(y0), g(g(y1)), g(g(g(g(g(g(y2)))))))) F(g(y0), g(g(g(y1))), g(g(g(g(g(g(g(y2)))))))) -> c3(F(g(y0), g(g(g(y1))), g(g(g(g(g(g(y2)))))))) F(g(0), g(g(1)), g(g(g(g(g(g(g(g(y0))))))))) -> c3(F(g(0), g(g(1)), g(g(g(g(g(g(g(y0))))))))) F(g(0), g(g(g(g(1)))), g(g(g(g(g(g(y0))))))) -> c3(F(g(0), g(g(g(g(1)))), g(g(g(g(g(y0))))))) F(g(y0), g(g(g(g(y1)))), g(g(g(g(g(g(g(y2)))))))) -> c3(F(g(y0), g(g(g(g(y1)))), g(g(g(g(g(g(y2)))))))) F(g(0), g(g(g(1))), g(g(g(g(g(g(g(g(y0))))))))) -> c3(F(g(0), g(g(g(1))), g(g(g(g(g(g(g(y0))))))))) F(g(y0), g(g(g(g(g(g(y1)))))), g(g(g(g(g(g(y2))))))) -> c3(F(g(y0), g(g(g(g(g(g(y1)))))), g(g(g(g(g(y2))))))) F(g(0), g(g(g(g(g(1))))), g(g(g(g(g(g(y0))))))) -> c3(F(g(0), g(g(g(g(g(1))))), g(g(g(g(g(y0))))))) F(g(y0), g(g(g(g(g(y1))))), g(g(g(g(g(g(g(y2)))))))) -> c3(F(g(y0), g(g(g(g(g(y1))))), g(g(g(g(g(g(y2)))))))) F(g(g(y0)), g(g(y1)), g(g(g(g(g(g(g(g(y2))))))))) -> c3(F(g(g(y0)), g(g(y1)), g(g(g(g(g(g(g(y2))))))))) F(g(g(g(y0))), g(g(y1)), g(g(g(g(g(g(g(g(y2))))))))) -> c3(F(g(g(g(y0))), g(g(y1)), g(g(g(g(g(g(g(y2))))))))) F(g(g(g(g(g(y0))))), g(g(y1)), g(g(g(g(g(g(g(y2)))))))) -> c3(F(g(g(g(g(g(y0))))), g(g(y1)), g(g(g(g(g(g(y2)))))))) F(g(g(g(g(y0)))), g(g(y1)), g(g(g(g(g(g(g(g(y2))))))))) -> c3(F(g(g(g(g(y0)))), g(g(y1)), g(g(g(g(g(g(g(y2))))))))) F(g(g(g(0))), g(g(1)), g(g(g(g(g(g(g(y0)))))))) -> c3(F(g(g(g(0))), g(g(1)), g(g(g(g(g(g(y0)))))))) F(g(g(g(g(0)))), g(g(1)), g(g(g(g(g(g(g(y0)))))))) -> c3(F(g(g(g(g(0)))), g(g(1)), g(g(g(g(g(g(y0)))))))) F(g(g(y0)), g(g(g(y1))), g(g(g(g(g(g(g(g(y2))))))))) -> c3(F(g(g(y0)), g(g(g(y1))), g(g(g(g(g(g(g(y2))))))))) F(g(g(g(0))), g(g(g(1))), g(g(g(g(g(g(g(y0)))))))) -> c3(F(g(g(g(0))), g(g(g(1))), g(g(g(g(g(g(y0)))))))) F(g(g(g(y0))), g(g(g(y1))), g(g(g(g(g(g(g(g(y2))))))))) -> c3(F(g(g(g(y0))), g(g(g(y1))), g(g(g(g(g(g(g(y2))))))))) F(g(g(g(g(g(y0))))), g(g(g(y1))), g(g(g(g(g(g(g(y2)))))))) -> c3(F(g(g(g(g(g(y0))))), g(g(g(y1))), g(g(g(g(g(g(y2)))))))) F(g(g(g(g(0)))), g(g(g(1))), g(g(g(g(g(g(g(y0)))))))) -> c3(F(g(g(g(g(0)))), g(g(g(1))), g(g(g(g(g(g(y0)))))))) F(g(g(g(g(y0)))), g(g(g(y1))), g(g(g(g(g(g(g(g(y2))))))))) -> c3(F(g(g(g(g(y0)))), g(g(g(y1))), g(g(g(g(g(g(g(y2))))))))) F(g(g(0)), g(g(1)), g(g(g(g(g(g(g(g(g(y0)))))))))) -> c3(F(g(g(0)), g(g(1)), g(g(g(g(g(g(g(g(y0)))))))))) F(g(g(y0)), g(g(g(g(y1)))), g(g(g(g(g(g(g(g(y2))))))))) -> c3(F(g(g(y0)), g(g(g(g(y1)))), g(g(g(g(g(g(g(y2))))))))) F(g(g(g(0))), g(g(g(g(1)))), g(g(g(g(g(g(g(y0)))))))) -> c3(F(g(g(g(0))), g(g(g(g(1)))), g(g(g(g(g(g(y0)))))))) F(g(g(g(y0))), g(g(g(g(y1)))), g(g(g(g(g(g(g(g(y2))))))))) -> c3(F(g(g(g(y0))), g(g(g(g(y1)))), g(g(g(g(g(g(g(y2))))))))) F(g(g(g(g(g(y0))))), g(g(g(g(y1)))), g(g(g(g(g(g(g(y2)))))))) -> c3(F(g(g(g(g(g(y0))))), g(g(g(g(y1)))), g(g(g(g(g(g(y2)))))))) F(g(g(g(g(0)))), g(g(g(g(1)))), g(g(g(g(g(g(g(y0)))))))) -> c3(F(g(g(g(g(0)))), g(g(g(g(1)))), g(g(g(g(g(g(y0)))))))) F(g(g(g(g(y0)))), g(g(g(g(y1)))), g(g(g(g(g(g(g(g(y2))))))))) -> c3(F(g(g(g(g(y0)))), g(g(g(g(y1)))), g(g(g(g(g(g(g(y2))))))))) F(g(g(0)), g(g(g(1))), g(g(g(g(g(g(g(g(g(y0)))))))))) -> c3(F(g(g(0)), g(g(g(1))), g(g(g(g(g(g(g(g(y0)))))))))) F(g(g(y0)), g(g(g(g(g(y1))))), g(g(g(g(g(g(g(g(y2))))))))) -> c3(F(g(g(y0)), g(g(g(g(g(y1))))), g(g(g(g(g(g(g(y2))))))))) F(g(g(0)), g(g(g(g(g(1))))), g(g(g(g(g(g(g(y0)))))))) -> c3(F(g(g(0)), g(g(g(g(g(1))))), g(g(g(g(g(g(y0)))))))) F(g(g(g(0))), g(g(g(g(g(1))))), g(g(g(g(g(g(g(y0)))))))) -> c3(F(g(g(g(0))), g(g(g(g(g(1))))), g(g(g(g(g(g(y0)))))))) F(g(g(g(y0))), g(g(g(g(g(y1))))), g(g(g(g(g(g(g(g(y2))))))))) -> c3(F(g(g(g(y0))), g(g(g(g(g(y1))))), g(g(g(g(g(g(g(y2))))))))) F(g(g(g(g(g(y0))))), g(g(g(g(g(y1))))), g(g(g(g(g(g(g(y2)))))))) -> c3(F(g(g(g(g(g(y0))))), g(g(g(g(g(y1))))), g(g(g(g(g(g(y2)))))))) F(g(g(g(g(0)))), g(g(g(g(g(1))))), g(g(g(g(g(g(g(y0)))))))) -> c3(F(g(g(g(g(0)))), g(g(g(g(g(1))))), g(g(g(g(g(g(y0)))))))) F(g(g(g(g(y0)))), g(g(g(g(g(y1))))), g(g(g(g(g(g(g(g(y2))))))))) -> c3(F(g(g(g(g(y0)))), g(g(g(g(g(y1))))), g(g(g(g(g(g(g(y2))))))))) F(g(g(0)), g(g(g(g(1)))), g(g(g(g(g(g(g(g(g(y0)))))))))) -> c3(F(g(g(0)), g(g(g(g(1)))), g(g(g(g(g(g(g(g(y0)))))))))) F(g(g(y0)), g(g(g(g(g(g(g(y1))))))), g(g(g(g(g(g(g(y2)))))))) -> c3(F(g(g(y0)), g(g(g(g(g(g(g(y1))))))), g(g(g(g(g(g(y2)))))))) F(g(g(y0)), g(g(g(g(g(g(y1)))))), g(g(g(g(g(g(g(g(y2))))))))) -> c3(F(g(g(y0)), g(g(g(g(g(g(y1)))))), g(g(g(g(g(g(g(y2))))))))) F(g(g(0)), g(g(g(g(g(g(1)))))), g(g(g(g(g(g(g(y0)))))))) -> c3(F(g(g(0)), g(g(g(g(g(g(1)))))), g(g(g(g(g(g(y0)))))))) F(g(g(g(y0))), g(g(g(g(g(g(g(y1))))))), g(g(g(g(g(g(g(y2)))))))) -> c3(F(g(g(g(y0))), g(g(g(g(g(g(g(y1))))))), g(g(g(g(g(g(y2)))))))) F(g(g(g(0))), g(g(g(g(g(g(1)))))), g(g(g(g(g(g(g(y0)))))))) -> c3(F(g(g(g(0))), g(g(g(g(g(g(1)))))), g(g(g(g(g(g(y0)))))))) F(g(g(g(y0))), g(g(g(g(g(g(y1)))))), g(g(g(g(g(g(g(g(y2))))))))) -> c3(F(g(g(g(y0))), g(g(g(g(g(g(y1)))))), g(g(g(g(g(g(g(y2))))))))) F(g(g(g(g(g(y0))))), g(g(g(g(g(g(y1)))))), g(g(g(g(g(g(g(y2)))))))) -> c3(F(g(g(g(g(g(y0))))), g(g(g(g(g(g(y1)))))), g(g(g(g(g(g(y2)))))))) F(g(g(g(g(y0)))), g(g(g(g(g(g(g(y1))))))), g(g(g(g(g(g(g(y2)))))))) -> c3(F(g(g(g(g(y0)))), g(g(g(g(g(g(g(y1))))))), g(g(g(g(g(g(y2)))))))) F(g(g(g(g(0)))), g(g(g(g(g(g(1)))))), g(g(g(g(g(g(g(y0)))))))) -> c3(F(g(g(g(g(0)))), g(g(g(g(g(g(1)))))), g(g(g(g(g(g(y0)))))))) F(g(g(g(g(y0)))), g(g(g(g(g(g(y1)))))), g(g(g(g(g(g(g(g(y2))))))))) -> c3(F(g(g(g(g(y0)))), g(g(g(g(g(g(y1)))))), g(g(g(g(g(g(g(y2))))))))) ---------------------------------------- (82) Obligation: Complexity Dependency Tuples Problem Rules:none Tuples: F(g(0), g(1), g(z2)) -> c3(F(g(0), g(1), z2)) F(g(g(y0)), g(y1), g(z2)) -> c3(F(g(g(y0)), g(y1), z2)) F(g(y0), g(g(y1)), g(z2)) -> c3(F(g(y0), g(g(y1)), z2)) F(g(y0), g(y1), g(g(y2))) -> c3(F(g(y0), g(y1), g(y2))) F(g(g(0)), 1, z2) -> c1(F(g(0), 1, z2)) F(g(g(g(y0))), z1, z2) -> c1(F(g(g(y0)), z1, z2)) F(g(g(z0)), g(y1), z2) -> c1(F(g(z0), g(y1), z2)) F(g(g(z0)), z1, g(y2)) -> c1(F(g(z0), z1, g(y2))) F(g(g(z0)), g(g(y1)), z2) -> c1(F(g(z0), g(g(y1)), z2)) F(g(g(z0)), g(y1), g(y2)) -> c1(F(g(z0), g(y1), g(y2))) F(g(g(0)), g(1), z2) -> c1(F(g(0), g(1), z2)) F(g(g(g(y0))), g(y1), z2) -> c1(F(g(g(y0)), g(y1), z2)) F(g(g(z0)), z1, g(g(y2))) -> c1(F(g(z0), z1, g(g(y2)))) F(g(g(0)), 1, g(y0)) -> c1(F(g(0), 1, g(y0))) F(g(g(g(y0))), z1, g(y2)) -> c1(F(g(g(y0)), z1, g(y2))) F(g(g(z0)), g(g(y1)), g(y2)) -> c1(F(g(z0), g(g(y1)), g(y2))) F(g(g(z0)), g(y1), g(g(y2))) -> c1(F(g(z0), g(y1), g(g(y2)))) F(g(g(0)), g(1), g(y0)) -> c1(F(g(0), g(1), g(y0))) F(g(g(g(y0))), g(y1), g(y2)) -> c1(F(g(g(y0)), g(y1), g(y2))) F(g(0), g(1), z2) -> c1(F(0, g(1), z2)) F(g(z0), g(g(y1)), z2) -> c1(F(z0, g(g(y1)), z2)) F(g(z0), g(z1), g(y2)) -> c1(F(z0, g(z1), g(y2))) F(g(z0), g(z1), g(g(y2))) -> c1(F(z0, g(z1), g(g(y2)))) F(g(0), g(1), g(y0)) -> c1(F(0, g(1), g(y0))) F(g(z0), g(g(y1)), g(y2)) -> c1(F(z0, g(g(y1)), g(y2))) F(g(g(g(g(y0)))), g(z1), z2) -> c1(F(g(g(g(y0))), g(z1), z2)) F(g(g(g(y0))), g(g(y1)), z2) -> c1(F(g(g(y0)), g(g(y1)), z2)) F(g(g(g(0))), g(1), z2) -> c1(F(g(g(0)), g(1), z2)) F(g(g(g(y0))), g(z1), g(g(y2))) -> c1(F(g(g(y0)), g(z1), g(g(y2)))) F(g(g(g(g(y0)))), g(z1), g(y2)) -> c1(F(g(g(g(y0))), g(z1), g(y2))) F(g(g(g(y0))), g(g(y1)), g(y2)) -> c1(F(g(g(y0)), g(g(y1)), g(y2))) F(g(g(g(0))), g(1), g(y0)) -> c1(F(g(g(0)), g(1), g(y0))) F(0, 1, g(y2)) -> c(F(g(g(y2)), g(g(y2)), g(y2))) F(0, 1, g(g(y2))) -> c(F(g(g(g(y2))), g(g(g(y2))), g(g(y2)))) F(0, 1, g(g(g(y0)))) -> c(F(g(g(g(g(y0)))), g(g(g(g(y0)))), g(g(g(y0))))) F(g(0), 1, g(y0)) -> c1(F(0, 1, g(y0))) F(g(0), 1, g(g(y2))) -> c1(F(0, 1, g(g(y2)))) F(g(0), 1, g(g(g(y0)))) -> c1(F(0, 1, g(g(g(y0))))) F(g(z0), z1, g(g(y2))) -> c1(F(z0, z1, g(g(y2)))) F(g(g(g(0))), 1, g(z2)) -> c1(F(g(g(0)), 1, g(z2))) F(g(g(g(g(y0)))), z1, g(z2)) -> c1(F(g(g(g(y0))), z1, g(z2))) F(g(g(g(y0))), z1, g(g(y2))) -> c1(F(g(g(y0)), z1, g(g(y2)))) F(g(g(g(g(g(y0))))), g(y1), g(z2)) -> c1(F(g(g(g(g(y0)))), g(y1), g(z2))) F(g(g(g(g(y0)))), g(g(y1)), g(z2)) -> c1(F(g(g(g(y0))), g(g(y1)), g(z2))) F(g(g(g(g(0)))), g(1), g(z2)) -> c1(F(g(g(g(0))), g(1), g(z2))) F(g(g(g(g(y0)))), g(y1), g(g(y2))) -> c1(F(g(g(g(y0))), g(y1), g(g(y2)))) F(g(g(0)), 1, g(g(y0))) -> c1(F(g(0), 1, g(g(y0)))) F(g(g(0)), 1, g(g(g(y0)))) -> c1(F(g(0), 1, g(g(g(y0))))) F(0, g(1), g(y0)) -> c2(F(0, 1, g(y0))) F(0, g(1), g(g(y2))) -> c2(F(0, 1, g(g(y2)))) F(0, g(1), g(g(g(y0)))) -> c2(F(0, 1, g(g(g(y0))))) F(z0, g(g(g(y1))), z2) -> c2(F(z0, g(g(y1)), z2)) F(z0, g(g(z1)), g(y2)) -> c2(F(z0, g(z1), g(y2))) F(g(0), g(g(1)), z2) -> c2(F(g(0), g(1), z2)) F(g(g(y0)), g(g(z1)), z2) -> c2(F(g(g(y0)), g(z1), z2)) F(g(y0), g(g(g(y1))), z2) -> c2(F(g(y0), g(g(y1)), z2)) F(g(y0), 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c2(F(g(g(g(y0))), g(g(y1)), z2)) F(g(g(g(0))), g(g(1)), z2) -> c2(F(g(g(g(0))), g(1), z2)) F(g(g(g(y0))), g(g(z1)), g(g(y2))) -> c2(F(g(g(g(y0))), g(z1), g(g(y2)))) F(g(g(g(g(y0)))), g(g(z1)), g(y2)) -> c2(F(g(g(g(g(y0)))), g(z1), g(y2))) F(g(g(g(y0))), g(g(g(y1))), g(y2)) -> c2(F(g(g(g(y0))), g(g(y1)), g(y2))) F(g(g(g(0))), g(g(1)), g(y0)) -> c2(F(g(g(g(0))), g(1), g(y0))) F(g(g(g(g(g(y0))))), g(g(z1)), g(y2)) -> c2(F(g(g(g(g(g(y0))))), g(z1), g(y2))) F(g(g(g(g(y0)))), g(g(g(y1))), g(y2)) -> c2(F(g(g(g(g(y0)))), g(g(y1)), g(y2))) F(g(g(g(g(0)))), g(g(1)), g(y0)) -> c2(F(g(g(g(g(0)))), g(1), g(y0))) F(g(g(g(g(y0)))), g(g(z1)), g(g(y2))) -> c2(F(g(g(g(g(y0)))), g(z1), g(g(y2)))) F(0, g(g(1)), g(g(y0))) -> c2(F(0, g(1), g(g(y0)))) F(0, g(g(1)), g(g(g(y0)))) -> c2(F(0, g(1), g(g(g(y0))))) F(z0, g(z1), g(g(y2))) -> c2(F(z0, z1, g(g(y2)))) F(g(0), g(1), g(z2)) -> c2(F(g(0), 1, g(z2))) F(g(g(y0)), g(z1), g(z2)) -> c2(F(g(g(y0)), z1, g(z2))) F(g(y0), g(z1), g(g(y2))) -> c2(F(g(y0), z1, g(g(y2)))) F(g(g(0)), g(1), g(z2)) -> c2(F(g(g(0)), 1, g(z2))) F(g(g(g(y0))), g(z1), g(z2)) -> c2(F(g(g(g(y0))), z1, g(z2))) F(g(g(y0)), g(z1), g(g(y2))) -> c2(F(g(g(y0)), z1, g(g(y2)))) F(g(0), g(1), g(g(y0))) -> c2(F(g(0), 1, g(g(y0)))) F(g(0), g(1), g(g(g(y0)))) -> c2(F(g(0), 1, g(g(g(y0))))) F(g(g(g(0))), g(1), g(z2)) -> c2(F(g(g(g(0))), 1, g(z2))) F(g(g(g(g(y0)))), g(z1), g(z2)) -> c2(F(g(g(g(g(y0)))), z1, g(z2))) F(g(g(g(y0))), g(z1), g(g(y2))) -> c2(F(g(g(g(y0))), z1, g(g(y2)))) F(g(g(0)), g(1), g(g(y0))) -> c2(F(g(g(0)), 1, g(g(y0)))) F(g(g(0)), g(1), g(g(g(y0)))) -> c2(F(g(g(0)), 1, g(g(g(y0))))) F(z0, g(g(g(g(y1)))), g(z2)) -> c2(F(z0, g(g(g(y1))), g(z2))) F(g(0), g(g(g(1))), g(z2)) -> c2(F(g(0), g(g(1)), g(z2))) F(g(y0), g(g(g(g(y1)))), g(z2)) -> c2(F(g(y0), g(g(g(y1))), g(z2))) F(z0, g(g(g(y1))), g(g(y2))) -> c2(F(z0, g(g(y1)), g(g(y2)))) F(g(y0), g(g(g(y1))), g(g(y2))) -> c2(F(g(y0), g(g(y1)), g(g(y2)))) F(0, g(g(g(1))), g(z2)) -> c2(F(0, g(g(1)), g(z2))) F(g(g(y0)), g(g(g(g(y1)))), g(z2)) -> c2(F(g(g(y0)), g(g(g(y1))), g(z2))) F(g(g(0)), g(g(g(1))), g(z2)) -> c2(F(g(g(0)), g(g(1)), g(z2))) F(g(g(y0)), g(g(g(y1))), g(g(y2))) -> c2(F(g(g(y0)), g(g(y1)), g(g(y2)))) F(g(g(g(y0))), g(g(g(g(y1)))), g(z2)) -> c2(F(g(g(g(y0))), g(g(g(y1))), g(z2))) F(g(g(g(0))), g(g(g(1))), g(z2)) -> c2(F(g(g(g(0))), g(g(1)), g(z2))) F(g(g(g(y0))), g(g(g(y1))), g(g(y2))) -> c2(F(g(g(g(y0))), g(g(y1)), g(g(y2)))) F(g(g(g(g(g(y0))))), g(g(g(y1))), g(z2)) -> c2(F(g(g(g(g(g(y0))))), g(g(y1)), g(z2))) F(g(g(g(g(y0)))), g(g(g(g(y1)))), g(z2)) -> c2(F(g(g(g(g(y0)))), g(g(g(y1))), g(z2))) F(g(g(g(g(0)))), g(g(g(1))), g(z2)) -> c2(F(g(g(g(g(0)))), g(g(1)), g(z2))) F(g(g(g(g(y0)))), g(g(g(y1))), g(g(y2))) -> c2(F(g(g(g(g(y0)))), g(g(y1)), g(g(y2)))) F(0, g(g(g(1))), g(g(y0))) -> c2(F(0, g(g(1)), g(g(y0)))) F(0, g(g(g(1))), g(g(g(y0)))) -> c2(F(0, g(g(1)), g(g(g(y0))))) F(g(g(0)), g(1), z2) -> c2(F(g(g(0)), 1, z2)) F(g(g(g(y0))), g(z1), z2) -> c2(F(g(g(g(y0))), z1, z2)) F(g(g(z0)), g(g(g(g(y1)))), z2) -> c2(F(g(g(z0)), g(g(g(y1))), z2)) F(g(g(0)), g(g(g(1))), z2) -> c2(F(g(g(0)), g(g(1)), z2)) F(g(g(g(g(y0)))), g(g(g(y1))), z2) -> c2(F(g(g(g(g(y0)))), g(g(y1)), z2)) F(g(g(g(y0))), g(g(g(g(y1)))), z2) -> c2(F(g(g(g(y0))), g(g(g(y1))), z2)) F(g(g(g(0))), g(g(g(1))), z2) -> c2(F(g(g(g(0))), g(g(1)), z2)) F(g(g(0)), g(g(1)), g(g(y0))) -> c2(F(g(g(0)), g(1), g(g(y0)))) F(g(g(0)), g(g(1)), g(g(g(y0)))) -> c2(F(g(g(0)), g(1), g(g(g(y0))))) F(g(g(z0)), g(g(g(g(g(y1))))), g(y2)) -> c2(F(g(g(z0)), g(g(g(g(y1)))), g(y2))) F(g(g(z0)), g(g(g(g(y1)))), g(g(y2))) -> c2(F(g(g(z0)), g(g(g(y1))), g(g(y2)))) F(g(g(0)), g(g(g(g(1)))), g(y0)) -> c2(F(g(g(0)), g(g(g(1))), g(y0))) F(g(g(g(y0))), g(g(g(g(g(y1))))), g(y2)) -> c2(F(g(g(g(y0))), g(g(g(g(y1)))), g(y2))) F(g(g(g(0))), g(g(g(g(1)))), g(y0)) -> c2(F(g(g(g(0))), g(g(g(1))), g(y0))) F(g(g(g(y0))), g(g(g(g(y1)))), g(g(y2))) -> c2(F(g(g(g(y0))), g(g(g(y1))), g(g(y2)))) F(g(g(g(g(g(y0))))), g(g(g(g(y1)))), g(y2)) -> c2(F(g(g(g(g(g(y0))))), g(g(g(y1))), g(y2))) F(g(g(g(g(y0)))), g(g(g(g(g(y1))))), g(y2)) -> c2(F(g(g(g(g(y0)))), g(g(g(g(y1)))), g(y2))) F(g(g(g(g(0)))), g(g(g(g(1)))), g(y0)) -> c2(F(g(g(g(g(0)))), g(g(g(1))), g(y0))) F(g(g(g(g(y0)))), g(g(g(g(y1)))), g(g(y2))) -> c2(F(g(g(g(g(y0)))), g(g(g(y1))), g(g(y2)))) F(g(z0), g(g(g(g(y1)))), z2) -> c2(F(g(z0), g(g(g(y1))), z2)) F(g(0), g(g(g(1))), z2) -> c2(F(g(0), g(g(1)), z2)) F(g(0), g(g(1)), g(g(y0))) -> c2(F(g(0), g(1), g(g(y0)))) F(g(0), g(g(1)), g(g(g(y0)))) -> c2(F(g(0), g(1), g(g(g(y0))))) F(g(z0), g(g(g(g(g(y1))))), g(y2)) -> c2(F(g(z0), g(g(g(g(y1)))), g(y2))) F(g(0), g(g(g(g(1)))), g(y0)) -> c2(F(g(0), g(g(g(1))), g(y0))) F(g(z0), g(g(g(g(y1)))), g(g(y2))) -> c2(F(g(z0), g(g(g(y1))), g(g(y2)))) F(g(g(y0)), g(g(g(g(g(y1))))), z2) -> c2(F(g(g(y0)), g(g(g(g(y1)))), z2)) F(g(g(0)), g(g(g(g(1)))), z2) -> c2(F(g(g(0)), g(g(g(1))), z2)) F(g(g(g(g(y0)))), g(g(g(g(y1)))), z2) -> c2(F(g(g(g(g(y0)))), g(g(g(y1))), z2)) F(g(g(g(y0))), g(g(g(g(g(y1))))), z2) -> c2(F(g(g(g(y0))), g(g(g(g(y1)))), z2)) F(g(g(g(0))), g(g(g(g(1)))), z2) -> c2(F(g(g(g(0))), g(g(g(1))), z2)) F(g(g(0)), g(g(g(1))), g(g(y0))) -> c2(F(g(g(0)), g(g(1)), g(g(y0)))) F(g(g(0)), g(g(g(1))), g(g(g(y0)))) -> c2(F(g(g(0)), g(g(1)), g(g(g(y0))))) F(g(g(y0)), g(g(g(g(g(g(y1)))))), g(y2)) -> c2(F(g(g(y0)), g(g(g(g(g(y1))))), g(y2))) F(g(g(y0)), g(g(g(g(g(y1))))), g(g(y2))) -> c2(F(g(g(y0)), g(g(g(g(y1)))), g(g(y2)))) F(g(g(0)), g(g(g(g(g(1))))), g(y0)) -> c2(F(g(g(0)), g(g(g(g(1)))), g(y0))) F(g(g(g(y0))), g(g(g(g(g(g(y1)))))), g(y2)) -> c2(F(g(g(g(y0))), g(g(g(g(g(y1))))), g(y2))) F(g(g(g(0))), g(g(g(g(g(1))))), g(y0)) -> c2(F(g(g(g(0))), g(g(g(g(1)))), g(y0))) F(g(g(g(y0))), g(g(g(g(g(y1))))), g(g(y2))) -> c2(F(g(g(g(y0))), g(g(g(g(y1)))), g(g(y2)))) F(g(g(g(g(g(y0))))), g(g(g(g(g(y1))))), g(y2)) -> c2(F(g(g(g(g(g(y0))))), g(g(g(g(y1)))), g(y2))) F(g(g(g(g(y0)))), g(g(g(g(g(g(y1)))))), g(y2)) -> c2(F(g(g(g(g(y0)))), g(g(g(g(g(y1))))), g(y2))) 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g(g(g(g(g(g(g(y1))))))), g(z2)) -> c2(F(g(g(g(y0))), g(g(g(g(g(g(y1)))))), g(z2))) F(g(g(g(0))), g(g(g(g(g(g(1)))))), g(z2)) -> c2(F(g(g(g(0))), g(g(g(g(g(1))))), g(z2))) F(g(g(g(y0))), g(g(g(g(g(g(y1)))))), g(g(y2))) -> c2(F(g(g(g(y0))), g(g(g(g(g(y1))))), g(g(y2)))) F(g(g(g(g(g(y0))))), g(g(g(g(g(g(y1)))))), g(z2)) -> c2(F(g(g(g(g(g(y0))))), g(g(g(g(g(y1))))), g(z2))) F(g(g(g(g(y0)))), g(g(g(g(g(g(g(y1))))))), g(z2)) -> c2(F(g(g(g(g(y0)))), g(g(g(g(g(g(y1)))))), g(z2))) F(g(g(g(g(0)))), g(g(g(g(g(g(1)))))), g(z2)) -> c2(F(g(g(g(g(0)))), g(g(g(g(g(1))))), g(z2))) F(g(g(g(g(y0)))), g(g(g(g(g(g(y1)))))), g(g(y2))) -> c2(F(g(g(g(g(y0)))), g(g(g(g(g(y1))))), g(g(y2)))) F(0, 1, g(g(y0))) -> c3(F(0, 1, g(y0))) F(0, 1, g(g(g(y2)))) -> c3(F(0, 1, g(g(y2)))) F(0, 1, g(g(g(g(y0))))) -> c3(F(0, 1, g(g(g(y0))))) F(z0, z1, g(g(g(y2)))) -> c3(F(z0, z1, g(g(y2)))) F(g(0), 1, g(g(z2))) -> c3(F(g(0), 1, g(z2))) F(g(g(y0)), z1, g(g(z2))) -> c3(F(g(g(y0)), z1, g(z2))) F(g(y0), z1, g(g(g(y2)))) -> 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g(g(g(g(g(y1))))), g(g(y2)))) F(g(g(g(g(g(y0))))), g(g(g(g(g(y1))))), g(g(z2))) -> c3(F(g(g(g(g(g(y0))))), g(g(g(g(g(y1))))), g(z2))) F(g(g(g(g(y0)))), g(g(g(g(g(g(y1)))))), g(g(z2))) -> c3(F(g(g(g(g(y0)))), g(g(g(g(g(g(y1)))))), g(z2))) F(g(g(g(g(0)))), g(g(g(g(g(1))))), g(g(z2))) -> c3(F(g(g(g(g(0)))), g(g(g(g(g(1))))), g(z2))) F(g(g(g(g(y0)))), g(g(g(g(g(y1))))), g(g(g(y2)))) -> c3(F(g(g(g(g(y0)))), g(g(g(g(g(y1))))), g(g(y2)))) F(g(0), g(g(g(1))), g(g(g(y0)))) -> c3(F(g(0), g(g(g(1))), g(g(y0)))) F(g(0), g(g(g(1))), g(g(g(g(y0))))) -> c3(F(g(0), g(g(g(1))), g(g(g(y0))))) F(g(y0), g(g(g(g(g(g(y1)))))), g(g(z2))) -> c3(F(g(y0), g(g(g(g(g(g(y1)))))), g(z2))) F(g(0), g(g(g(g(g(1))))), g(g(z2))) -> c3(F(g(0), g(g(g(g(g(1))))), g(z2))) F(g(y0), g(g(g(g(g(y1))))), g(g(g(y2)))) -> c3(F(g(y0), g(g(g(g(g(y1))))), g(g(y2)))) F(g(g(0)), g(g(g(g(1)))), g(g(g(y0)))) -> c3(F(g(g(0)), g(g(g(g(1)))), g(g(y0)))) F(g(g(0)), g(g(g(g(1)))), g(g(g(g(y0))))) -> c3(F(g(g(0)), g(g(g(g(1)))), g(g(g(y0))))) F(g(g(y0)), g(g(g(g(g(g(g(y1))))))), g(g(z2))) -> c3(F(g(g(y0)), g(g(g(g(g(g(g(y1))))))), g(z2))) F(g(g(y0)), g(g(g(g(g(g(y1)))))), g(g(g(y2)))) -> c3(F(g(g(y0)), g(g(g(g(g(g(y1)))))), g(g(y2)))) F(g(g(0)), g(g(g(g(g(g(1)))))), g(g(z2))) -> c3(F(g(g(0)), g(g(g(g(g(g(1)))))), g(z2))) F(g(g(g(y0))), g(g(g(g(g(g(g(y1))))))), g(g(z2))) -> c3(F(g(g(g(y0))), g(g(g(g(g(g(g(y1))))))), g(z2))) F(g(g(g(0))), g(g(g(g(g(g(1)))))), g(g(z2))) -> c3(F(g(g(g(0))), g(g(g(g(g(g(1)))))), g(z2))) F(g(g(g(y0))), g(g(g(g(g(g(y1)))))), g(g(g(y2)))) -> c3(F(g(g(g(y0))), g(g(g(g(g(g(y1)))))), g(g(y2)))) F(g(g(g(g(g(y0))))), g(g(g(g(g(g(y1)))))), g(g(z2))) -> c3(F(g(g(g(g(g(y0))))), g(g(g(g(g(g(y1)))))), g(z2))) F(g(g(g(g(y0)))), g(g(g(g(g(g(g(y1))))))), g(g(z2))) -> c3(F(g(g(g(g(y0)))), g(g(g(g(g(g(g(y1))))))), g(z2))) F(g(g(g(g(0)))), g(g(g(g(g(g(1)))))), g(g(z2))) -> c3(F(g(g(g(g(0)))), g(g(g(g(g(g(1)))))), g(z2))) F(g(g(g(g(y0)))), g(g(g(g(g(g(y1)))))), g(g(g(y2)))) -> c3(F(g(g(g(g(y0)))), g(g(g(g(g(g(y1)))))), g(g(y2)))) F(0, 1, g(g(g(g(g(y0)))))) -> c3(F(0, 1, g(g(g(g(y0)))))) F(g(0), 1, g(g(g(g(g(y0)))))) -> c3(F(g(0), 1, g(g(g(g(y0)))))) F(g(g(0)), 1, g(z2)) -> c3(F(g(g(0)), 1, z2)) F(g(g(g(y0))), z1, g(z2)) -> c3(F(g(g(g(y0))), z1, z2)) F(g(g(z0)), g(g(y1)), g(z2)) -> c3(F(g(g(z0)), g(g(y1)), z2)) F(g(g(0)), g(1), g(z2)) -> c3(F(g(g(0)), g(1), z2)) F(g(g(g(y0))), g(y1), g(z2)) -> c3(F(g(g(g(y0))), g(y1), z2)) F(g(g(g(g(y0)))), g(y1), g(z2)) -> c3(F(g(g(g(g(y0)))), g(y1), z2)) F(g(g(g(y0))), g(g(y1)), g(z2)) -> c3(F(g(g(g(y0))), g(g(y1)), z2)) F(g(g(g(0))), g(1), g(z2)) -> c3(F(g(g(g(0))), g(1), z2)) F(g(g(z0)), g(g(g(y1))), g(z2)) -> c3(F(g(g(z0)), g(g(g(y1))), z2)) F(g(g(0)), g(g(1)), g(z2)) -> c3(F(g(g(0)), g(g(1)), z2)) F(g(g(g(g(y0)))), g(g(y1)), g(z2)) -> c3(F(g(g(g(g(y0)))), g(g(y1)), z2)) F(g(g(g(y0))), g(g(g(y1))), g(z2)) -> c3(F(g(g(g(y0))), g(g(g(y1))), z2)) F(g(g(g(0))), g(g(1)), g(z2)) -> c3(F(g(g(g(0))), g(g(1)), z2)) F(g(g(z0)), g(g(g(g(y1)))), g(z2)) -> c3(F(g(g(z0)), g(g(g(g(y1)))), z2)) F(g(g(0)), g(g(g(1))), g(z2)) -> c3(F(g(g(0)), g(g(g(1))), z2)) F(g(g(g(g(y0)))), g(g(g(y1))), g(z2)) -> c3(F(g(g(g(g(y0)))), g(g(g(y1))), z2)) F(g(g(g(y0))), g(g(g(g(y1)))), g(z2)) -> c3(F(g(g(g(y0))), g(g(g(g(y1)))), z2)) F(g(g(g(0))), g(g(g(1))), g(z2)) -> c3(F(g(g(g(0))), g(g(g(1))), z2)) F(g(g(z0)), g(g(g(g(g(y1))))), g(z2)) -> c3(F(g(g(z0)), g(g(g(g(g(y1))))), z2)) F(g(g(0)), g(g(g(g(1)))), g(z2)) -> c3(F(g(g(0)), g(g(g(g(1)))), z2)) F(g(g(g(g(y0)))), g(g(g(g(y1)))), g(z2)) -> c3(F(g(g(g(g(y0)))), g(g(g(g(y1)))), z2)) F(g(g(g(y0))), g(g(g(g(g(y1))))), g(z2)) -> c3(F(g(g(g(y0))), g(g(g(g(g(y1))))), z2)) F(g(g(g(0))), g(g(g(g(1)))), g(z2)) -> c3(F(g(g(g(0))), g(g(g(g(1)))), z2)) F(g(g(z0)), z1, g(g(g(g(y2))))) -> c3(F(g(g(z0)), z1, g(g(g(y2))))) F(g(g(z0)), g(y1), g(g(g(g(y2))))) -> c3(F(g(g(z0)), g(y1), g(g(g(y2))))) F(g(g(g(0))), g(1), g(g(g(y0)))) -> c3(F(g(g(g(0))), g(1), g(g(y0)))) F(g(g(g(y0))), g(y1), g(g(g(g(y2))))) -> c3(F(g(g(g(y0))), g(y1), g(g(g(y2))))) F(g(g(g(0))), 1, g(g(g(y0)))) -> c3(F(g(g(g(0))), 1, g(g(y0)))) F(g(g(g(g(y0)))), z1, g(g(g(y2)))) -> c3(F(g(g(g(g(y0)))), z1, g(g(y2)))) F(g(g(g(y0))), z1, g(g(g(g(y2))))) -> c3(F(g(g(g(y0))), z1, g(g(g(y2))))) F(g(g(g(g(g(y0))))), g(y1), g(g(g(y2)))) -> c3(F(g(g(g(g(g(y0))))), g(y1), g(g(y2)))) F(g(g(g(g(0)))), g(1), g(g(g(y0)))) -> c3(F(g(g(g(g(0)))), g(1), g(g(y0)))) F(g(g(g(g(y0)))), g(y1), g(g(g(g(y2))))) -> c3(F(g(g(g(g(y0)))), g(y1), g(g(g(y2))))) F(g(g(0)), 1, g(g(g(g(g(y0)))))) -> c3(F(g(g(0)), 1, g(g(g(g(y0)))))) F(g(g(z0)), g(g(y1)), g(g(g(g(y2))))) -> c3(F(g(g(z0)), g(g(y1)), g(g(g(y2))))) F(g(g(g(0))), g(g(1)), g(g(g(y0)))) -> c3(F(g(g(g(0))), g(g(1)), g(g(y0)))) F(g(g(g(y0))), g(g(y1)), g(g(g(g(y2))))) -> c3(F(g(g(g(y0))), g(g(y1)), g(g(g(y2))))) F(g(g(g(g(g(y0))))), g(g(y1)), g(g(g(y2)))) -> c3(F(g(g(g(g(g(y0))))), g(g(y1)), g(g(y2)))) F(g(g(g(g(0)))), g(g(1)), g(g(g(y0)))) -> c3(F(g(g(g(g(0)))), g(g(1)), g(g(y0)))) F(g(g(g(g(y0)))), g(g(y1)), g(g(g(g(y2))))) -> c3(F(g(g(g(g(y0)))), g(g(y1)), g(g(g(y2))))) F(g(g(0)), g(1), g(g(g(g(g(y0)))))) -> c3(F(g(g(0)), g(1), g(g(g(g(y0)))))) F(g(g(z0)), g(g(g(y1))), g(g(g(g(y2))))) -> c3(F(g(g(z0)), g(g(g(y1))), g(g(g(y2))))) F(g(g(g(0))), g(g(g(1))), g(g(g(y0)))) -> c3(F(g(g(g(0))), g(g(g(1))), g(g(y0)))) F(g(g(g(y0))), g(g(g(y1))), g(g(g(g(y2))))) -> c3(F(g(g(g(y0))), g(g(g(y1))), g(g(g(y2))))) F(g(g(g(g(g(y0))))), g(g(g(y1))), g(g(g(y2)))) -> c3(F(g(g(g(g(g(y0))))), g(g(g(y1))), g(g(y2)))) F(g(g(g(g(0)))), g(g(g(1))), g(g(g(y0)))) -> c3(F(g(g(g(g(0)))), g(g(g(1))), g(g(y0)))) F(g(g(g(g(y0)))), g(g(g(y1))), g(g(g(g(y2))))) -> c3(F(g(g(g(g(y0)))), g(g(g(y1))), g(g(g(y2))))) F(g(g(0)), g(g(1)), g(g(g(g(g(y0)))))) -> c3(F(g(g(0)), g(g(1)), g(g(g(g(y0)))))) F(g(g(z0)), g(g(g(g(y1)))), g(g(g(g(y2))))) -> c3(F(g(g(z0)), g(g(g(g(y1)))), g(g(g(y2))))) F(g(g(g(0))), g(g(g(g(1)))), g(g(g(y0)))) -> c3(F(g(g(g(0))), g(g(g(g(1)))), g(g(y0)))) F(g(g(g(y0))), g(g(g(g(y1)))), g(g(g(g(y2))))) -> c3(F(g(g(g(y0))), g(g(g(g(y1)))), g(g(g(y2))))) F(g(g(g(g(g(y0))))), g(g(g(g(y1)))), g(g(g(y2)))) -> c3(F(g(g(g(g(g(y0))))), g(g(g(g(y1)))), g(g(y2)))) F(g(g(g(g(0)))), g(g(g(g(1)))), g(g(g(y0)))) -> c3(F(g(g(g(g(0)))), g(g(g(g(1)))), g(g(y0)))) F(g(g(g(g(y0)))), g(g(g(g(y1)))), g(g(g(g(y2))))) -> c3(F(g(g(g(g(y0)))), g(g(g(g(y1)))), g(g(g(y2))))) F(g(g(0)), g(g(g(1))), g(g(g(g(g(y0)))))) -> c3(F(g(g(0)), g(g(g(1))), g(g(g(g(y0)))))) F(g(g(z0)), g(g(g(g(g(y1))))), g(g(g(g(y2))))) -> c3(F(g(g(z0)), g(g(g(g(g(y1))))), g(g(g(y2))))) F(g(g(0)), g(g(g(g(g(1))))), g(g(g(y0)))) -> c3(F(g(g(0)), g(g(g(g(g(1))))), g(g(y0)))) F(g(g(g(0))), g(g(g(g(g(1))))), g(g(g(y0)))) -> c3(F(g(g(g(0))), g(g(g(g(g(1))))), g(g(y0)))) F(g(g(g(y0))), g(g(g(g(g(y1))))), g(g(g(g(y2))))) -> c3(F(g(g(g(y0))), g(g(g(g(g(y1))))), g(g(g(y2))))) F(g(g(g(g(g(y0))))), g(g(g(g(g(y1))))), g(g(g(y2)))) -> c3(F(g(g(g(g(g(y0))))), g(g(g(g(g(y1))))), g(g(y2)))) F(g(g(g(g(0)))), g(g(g(g(g(1))))), g(g(g(y0)))) -> c3(F(g(g(g(g(0)))), g(g(g(g(g(1))))), g(g(y0)))) F(g(g(g(g(y0)))), g(g(g(g(g(y1))))), g(g(g(g(y2))))) -> c3(F(g(g(g(g(y0)))), g(g(g(g(g(y1))))), g(g(g(y2))))) F(g(g(0)), g(g(g(g(1)))), g(g(g(g(g(y0)))))) -> c3(F(g(g(0)), g(g(g(g(1)))), g(g(g(g(y0)))))) F(g(g(z0)), g(g(g(g(g(g(g(y1))))))), g(g(g(y2)))) -> c3(F(g(g(z0)), g(g(g(g(g(g(g(y1))))))), g(g(y2)))) F(g(g(z0)), g(g(g(g(g(g(y1)))))), g(g(g(g(y2))))) -> c3(F(g(g(z0)), g(g(g(g(g(g(y1)))))), g(g(g(y2))))) F(g(g(0)), g(g(g(g(g(g(1)))))), g(g(g(y0)))) -> c3(F(g(g(0)), g(g(g(g(g(g(1)))))), g(g(y0)))) F(g(g(g(y0))), g(g(g(g(g(g(g(y1))))))), g(g(g(y2)))) -> c3(F(g(g(g(y0))), g(g(g(g(g(g(g(y1))))))), g(g(y2)))) F(g(g(g(0))), g(g(g(g(g(g(1)))))), g(g(g(y0)))) -> c3(F(g(g(g(0))), g(g(g(g(g(g(1)))))), g(g(y0)))) F(g(g(g(y0))), g(g(g(g(g(g(y1)))))), g(g(g(g(y2))))) -> c3(F(g(g(g(y0))), g(g(g(g(g(g(y1)))))), g(g(g(y2))))) F(g(g(g(g(g(y0))))), g(g(g(g(g(g(y1)))))), g(g(g(y2)))) -> c3(F(g(g(g(g(g(y0))))), g(g(g(g(g(g(y1)))))), g(g(y2)))) F(g(g(g(g(y0)))), g(g(g(g(g(g(g(y1))))))), g(g(g(y2)))) -> c3(F(g(g(g(g(y0)))), g(g(g(g(g(g(g(y1))))))), g(g(y2)))) F(g(g(g(g(0)))), g(g(g(g(g(g(1)))))), g(g(g(y0)))) -> c3(F(g(g(g(g(0)))), g(g(g(g(g(g(1)))))), g(g(y0)))) F(g(g(g(g(y0)))), g(g(g(g(g(g(y1)))))), g(g(g(g(y2))))) -> c3(F(g(g(g(g(y0)))), g(g(g(g(g(g(y1)))))), g(g(g(y2))))) F(g(z0), g(g(g(y1))), g(z2)) -> c3(F(g(z0), g(g(g(y1))), z2)) F(g(0), g(g(1)), g(z2)) -> c3(F(g(0), g(g(1)), z2)) F(g(z0), g(g(g(g(y1)))), g(z2)) -> c3(F(g(z0), g(g(g(g(y1)))), z2)) F(g(0), g(g(g(1))), g(z2)) -> c3(F(g(0), g(g(g(1))), z2)) F(g(z0), g(z1), g(g(g(g(y2))))) -> c3(F(g(z0), g(z1), g(g(g(y2))))) F(g(z0), g(g(y1)), g(g(g(g(y2))))) -> c3(F(g(z0), g(g(y1)), g(g(g(y2))))) F(g(0), g(1), g(g(g(g(g(y0)))))) -> c3(F(g(0), g(1), g(g(g(g(y0)))))) F(g(z0), g(g(g(y1))), g(g(g(g(y2))))) -> c3(F(g(z0), g(g(g(y1))), g(g(g(y2))))) F(g(0), g(g(1)), g(g(g(g(g(y0)))))) -> c3(F(g(0), g(g(1)), g(g(g(g(y0)))))) F(g(0), g(g(g(g(1)))), g(g(g(y0)))) -> c3(F(g(0), g(g(g(g(1)))), g(g(y0)))) F(g(z0), g(g(g(g(y1)))), g(g(g(g(y2))))) -> c3(F(g(z0), g(g(g(g(y1)))), g(g(g(y2))))) F(g(0), g(g(g(1))), g(g(g(g(g(y0)))))) -> c3(F(g(0), g(g(g(1))), g(g(g(g(y0)))))) F(g(z0), g(g(g(g(g(g(y1)))))), g(g(g(y2)))) -> c3(F(g(z0), g(g(g(g(g(g(y1)))))), g(g(y2)))) F(g(0), g(g(g(g(g(1))))), g(g(g(y0)))) -> c3(F(g(0), g(g(g(g(g(1))))), g(g(y0)))) F(g(z0), g(g(g(g(g(y1))))), g(g(g(g(y2))))) -> c3(F(g(z0), g(g(g(g(g(y1))))), g(g(g(y2))))) F(g(g(y0)), g(z1), g(g(g(g(g(y2)))))) -> c3(F(g(g(y0)), g(z1), g(g(g(g(y2)))))) F(g(g(g(0))), g(1), g(g(g(g(y0))))) -> c3(F(g(g(g(0))), g(1), g(g(g(y0))))) F(g(g(g(y0))), g(z1), g(g(g(g(g(y2)))))) -> c3(F(g(g(g(y0))), g(z1), g(g(g(g(y2)))))) F(g(g(g(g(g(y0))))), g(z1), g(g(g(g(y2))))) -> c3(F(g(g(g(g(g(y0))))), g(z1), g(g(g(y2))))) F(g(g(g(g(0)))), g(1), g(g(g(g(y0))))) -> c3(F(g(g(g(g(0)))), g(1), g(g(g(y0))))) F(g(g(g(g(y0)))), g(z1), g(g(g(g(g(y2)))))) -> c3(F(g(g(g(g(y0)))), g(z1), g(g(g(g(y2)))))) F(g(g(y0)), g(g(y1)), g(g(g(g(g(y2)))))) -> c3(F(g(g(y0)), g(g(y1)), g(g(g(g(y2)))))) F(g(g(g(0))), g(g(1)), g(g(g(g(y0))))) -> c3(F(g(g(g(0))), g(g(1)), g(g(g(y0))))) F(g(g(g(y0))), g(g(y1)), g(g(g(g(g(y2)))))) -> c3(F(g(g(g(y0))), g(g(y1)), g(g(g(g(y2)))))) F(g(g(g(g(g(y0))))), g(g(y1)), g(g(g(g(y2))))) -> c3(F(g(g(g(g(g(y0))))), g(g(y1)), g(g(g(y2))))) F(g(g(g(g(0)))), g(g(1)), g(g(g(g(y0))))) -> c3(F(g(g(g(g(0)))), g(g(1)), g(g(g(y0))))) F(g(g(g(g(y0)))), g(g(y1)), g(g(g(g(g(y2)))))) -> c3(F(g(g(g(g(y0)))), g(g(y1)), g(g(g(g(y2)))))) F(g(g(0)), g(1), g(g(g(g(g(g(y0))))))) -> c3(F(g(g(0)), g(1), g(g(g(g(g(y0))))))) F(g(g(y0)), g(g(g(y1))), g(g(g(g(g(y2)))))) -> c3(F(g(g(y0)), g(g(g(y1))), g(g(g(g(y2)))))) F(g(g(g(0))), g(g(g(1))), g(g(g(g(y0))))) -> c3(F(g(g(g(0))), g(g(g(1))), g(g(g(y0))))) F(g(g(g(y0))), g(g(g(y1))), g(g(g(g(g(y2)))))) -> c3(F(g(g(g(y0))), g(g(g(y1))), g(g(g(g(y2)))))) F(g(g(g(g(g(y0))))), g(g(g(y1))), g(g(g(g(y2))))) -> c3(F(g(g(g(g(g(y0))))), 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g(y1), g(g(g(g(g(y2))))))) F(g(g(y0)), g(g(y1)), g(g(g(g(g(g(y2))))))) -> c3(F(g(g(y0)), g(g(y1)), g(g(g(g(g(y2))))))) F(g(g(g(0))), g(g(1)), g(g(g(g(g(y0)))))) -> c3(F(g(g(g(0))), g(g(1)), g(g(g(g(y0)))))) F(g(g(g(y0))), g(g(y1)), g(g(g(g(g(g(y2))))))) -> c3(F(g(g(g(y0))), g(g(y1)), g(g(g(g(g(y2))))))) F(g(g(g(g(g(y0))))), g(g(y1)), g(g(g(g(g(y2)))))) -> c3(F(g(g(g(g(g(y0))))), g(g(y1)), g(g(g(g(y2)))))) F(g(g(g(g(0)))), g(g(1)), g(g(g(g(g(y0)))))) -> c3(F(g(g(g(g(0)))), g(g(1)), g(g(g(g(y0)))))) F(g(g(g(g(y0)))), g(g(y1)), g(g(g(g(g(g(y2))))))) -> c3(F(g(g(g(g(y0)))), g(g(y1)), g(g(g(g(g(y2))))))) F(g(g(0)), g(1), g(g(g(g(g(g(g(y0)))))))) -> c3(F(g(g(0)), g(1), g(g(g(g(g(g(y0)))))))) F(g(g(y0)), g(g(g(y1))), g(g(g(g(g(g(y2))))))) -> c3(F(g(g(y0)), g(g(g(y1))), g(g(g(g(g(y2))))))) F(g(g(g(0))), g(g(g(1))), g(g(g(g(g(y0)))))) -> c3(F(g(g(g(0))), g(g(g(1))), g(g(g(g(y0)))))) F(g(g(g(y0))), g(g(g(y1))), g(g(g(g(g(g(y2))))))) -> c3(F(g(g(g(y0))), g(g(g(y1))), g(g(g(g(g(y2))))))) 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g(g(g(g(g(y2)))))) -> c3(F(z0, g(g(y1)), g(g(g(g(y2)))))) F(0, g(g(1)), g(g(g(g(g(g(y0))))))) -> c3(F(0, g(g(1)), g(g(g(g(g(y0))))))) F(z0, g(g(g(g(y1)))), g(g(g(g(y2))))) -> c3(F(z0, g(g(g(g(y1)))), g(g(g(y2))))) F(z0, g(g(g(y1))), g(g(g(g(g(y2)))))) -> c3(F(z0, g(g(g(y1))), g(g(g(g(y2)))))) F(0, g(g(g(1))), g(g(g(g(g(g(y0))))))) -> c3(F(0, g(g(g(1))), g(g(g(g(g(y0))))))) F(g(y0), g(g(y1)), g(g(g(g(g(g(g(y2)))))))) -> c3(F(g(y0), g(g(y1)), g(g(g(g(g(g(y2)))))))) F(g(y0), g(g(g(y1))), g(g(g(g(g(g(g(y2)))))))) -> c3(F(g(y0), g(g(g(y1))), g(g(g(g(g(g(y2)))))))) F(g(0), g(g(1)), g(g(g(g(g(g(g(g(y0))))))))) -> c3(F(g(0), g(g(1)), g(g(g(g(g(g(g(y0))))))))) F(g(0), g(g(g(g(1)))), g(g(g(g(g(g(y0))))))) -> c3(F(g(0), g(g(g(g(1)))), g(g(g(g(g(y0))))))) F(g(y0), g(g(g(g(y1)))), g(g(g(g(g(g(g(y2)))))))) -> c3(F(g(y0), g(g(g(g(y1)))), g(g(g(g(g(g(y2)))))))) F(g(0), g(g(g(1))), g(g(g(g(g(g(g(g(y0))))))))) -> c3(F(g(0), g(g(g(1))), g(g(g(g(g(g(g(y0))))))))) F(g(y0), g(g(g(g(g(g(y1)))))), g(g(g(g(g(g(y2))))))) -> c3(F(g(y0), g(g(g(g(g(g(y1)))))), g(g(g(g(g(y2))))))) F(g(0), g(g(g(g(g(1))))), g(g(g(g(g(g(y0))))))) -> c3(F(g(0), g(g(g(g(g(1))))), g(g(g(g(g(y0))))))) F(g(y0), g(g(g(g(g(y1))))), g(g(g(g(g(g(g(y2)))))))) -> c3(F(g(y0), g(g(g(g(g(y1))))), g(g(g(g(g(g(y2)))))))) F(g(g(y0)), g(g(y1)), g(g(g(g(g(g(g(g(y2))))))))) -> c3(F(g(g(y0)), g(g(y1)), g(g(g(g(g(g(g(y2))))))))) F(g(g(g(y0))), g(g(y1)), g(g(g(g(g(g(g(g(y2))))))))) -> c3(F(g(g(g(y0))), g(g(y1)), g(g(g(g(g(g(g(y2))))))))) F(g(g(g(g(g(y0))))), g(g(y1)), g(g(g(g(g(g(g(y2)))))))) -> c3(F(g(g(g(g(g(y0))))), g(g(y1)), g(g(g(g(g(g(y2)))))))) F(g(g(g(g(y0)))), g(g(y1)), g(g(g(g(g(g(g(g(y2))))))))) -> c3(F(g(g(g(g(y0)))), g(g(y1)), g(g(g(g(g(g(g(y2))))))))) F(g(g(g(0))), g(g(1)), g(g(g(g(g(g(g(y0)))))))) -> c3(F(g(g(g(0))), g(g(1)), g(g(g(g(g(g(y0)))))))) F(g(g(g(g(0)))), g(g(1)), g(g(g(g(g(g(g(y0)))))))) -> c3(F(g(g(g(g(0)))), g(g(1)), g(g(g(g(g(g(y0)))))))) F(g(g(y0)), g(g(g(y1))), g(g(g(g(g(g(g(g(y2))))))))) -> c3(F(g(g(y0)), g(g(g(y1))), g(g(g(g(g(g(g(y2))))))))) F(g(g(g(0))), g(g(g(1))), g(g(g(g(g(g(g(y0)))))))) -> c3(F(g(g(g(0))), g(g(g(1))), g(g(g(g(g(g(y0)))))))) F(g(g(g(y0))), g(g(g(y1))), g(g(g(g(g(g(g(g(y2))))))))) -> c3(F(g(g(g(y0))), g(g(g(y1))), g(g(g(g(g(g(g(y2))))))))) F(g(g(g(g(g(y0))))), g(g(g(y1))), g(g(g(g(g(g(g(y2)))))))) -> c3(F(g(g(g(g(g(y0))))), g(g(g(y1))), g(g(g(g(g(g(y2)))))))) F(g(g(g(g(0)))), g(g(g(1))), g(g(g(g(g(g(g(y0)))))))) -> c3(F(g(g(g(g(0)))), g(g(g(1))), g(g(g(g(g(g(y0)))))))) F(g(g(g(g(y0)))), g(g(g(y1))), g(g(g(g(g(g(g(g(y2))))))))) -> c3(F(g(g(g(g(y0)))), g(g(g(y1))), g(g(g(g(g(g(g(y2))))))))) F(g(g(0)), g(g(1)), g(g(g(g(g(g(g(g(g(y0)))))))))) -> c3(F(g(g(0)), g(g(1)), g(g(g(g(g(g(g(g(y0)))))))))) F(g(g(y0)), g(g(g(g(y1)))), g(g(g(g(g(g(g(g(y2))))))))) -> c3(F(g(g(y0)), g(g(g(g(y1)))), g(g(g(g(g(g(g(y2))))))))) F(g(g(g(0))), g(g(g(g(1)))), g(g(g(g(g(g(g(y0)))))))) -> c3(F(g(g(g(0))), g(g(g(g(1)))), g(g(g(g(g(g(y0)))))))) F(g(g(g(y0))), g(g(g(g(y1)))), g(g(g(g(g(g(g(g(y2))))))))) -> c3(F(g(g(g(y0))), g(g(g(g(y1)))), g(g(g(g(g(g(g(y2))))))))) F(g(g(g(g(g(y0))))), g(g(g(g(y1)))), g(g(g(g(g(g(g(y2)))))))) -> c3(F(g(g(g(g(g(y0))))), g(g(g(g(y1)))), g(g(g(g(g(g(y2)))))))) F(g(g(g(g(0)))), g(g(g(g(1)))), g(g(g(g(g(g(g(y0)))))))) -> c3(F(g(g(g(g(0)))), g(g(g(g(1)))), g(g(g(g(g(g(y0)))))))) F(g(g(g(g(y0)))), g(g(g(g(y1)))), g(g(g(g(g(g(g(g(y2))))))))) -> c3(F(g(g(g(g(y0)))), g(g(g(g(y1)))), g(g(g(g(g(g(g(y2))))))))) F(g(g(0)), g(g(g(1))), g(g(g(g(g(g(g(g(g(y0)))))))))) -> c3(F(g(g(0)), g(g(g(1))), g(g(g(g(g(g(g(g(y0)))))))))) F(g(g(y0)), g(g(g(g(g(y1))))), g(g(g(g(g(g(g(g(y2))))))))) -> c3(F(g(g(y0)), g(g(g(g(g(y1))))), g(g(g(g(g(g(g(y2))))))))) F(g(g(0)), g(g(g(g(g(1))))), g(g(g(g(g(g(g(y0)))))))) -> c3(F(g(g(0)), g(g(g(g(g(1))))), g(g(g(g(g(g(y0)))))))) F(g(g(g(0))), g(g(g(g(g(1))))), g(g(g(g(g(g(g(y0)))))))) -> c3(F(g(g(g(0))), g(g(g(g(g(1))))), g(g(g(g(g(g(y0)))))))) F(g(g(g(y0))), g(g(g(g(g(y1))))), g(g(g(g(g(g(g(g(y2))))))))) -> c3(F(g(g(g(y0))), g(g(g(g(g(y1))))), g(g(g(g(g(g(g(y2))))))))) F(g(g(g(g(g(y0))))), g(g(g(g(g(y1))))), g(g(g(g(g(g(g(y2)))))))) -> c3(F(g(g(g(g(g(y0))))), g(g(g(g(g(y1))))), g(g(g(g(g(g(y2)))))))) F(g(g(g(g(0)))), g(g(g(g(g(1))))), g(g(g(g(g(g(g(y0)))))))) -> c3(F(g(g(g(g(0)))), g(g(g(g(g(1))))), g(g(g(g(g(g(y0)))))))) F(g(g(g(g(y0)))), g(g(g(g(g(y1))))), g(g(g(g(g(g(g(g(y2))))))))) -> c3(F(g(g(g(g(y0)))), g(g(g(g(g(y1))))), g(g(g(g(g(g(g(y2))))))))) F(g(g(0)), g(g(g(g(1)))), g(g(g(g(g(g(g(g(g(y0)))))))))) -> c3(F(g(g(0)), g(g(g(g(1)))), g(g(g(g(g(g(g(g(y0)))))))))) F(g(g(y0)), g(g(g(g(g(g(g(y1))))))), g(g(g(g(g(g(g(y2)))))))) -> c3(F(g(g(y0)), g(g(g(g(g(g(g(y1))))))), g(g(g(g(g(g(y2)))))))) F(g(g(y0)), g(g(g(g(g(g(y1)))))), g(g(g(g(g(g(g(g(y2))))))))) -> c3(F(g(g(y0)), g(g(g(g(g(g(y1)))))), g(g(g(g(g(g(g(y2))))))))) F(g(g(0)), g(g(g(g(g(g(1)))))), g(g(g(g(g(g(g(y0)))))))) -> c3(F(g(g(0)), g(g(g(g(g(g(1)))))), g(g(g(g(g(g(y0)))))))) F(g(g(g(y0))), g(g(g(g(g(g(g(y1))))))), g(g(g(g(g(g(g(y2)))))))) -> c3(F(g(g(g(y0))), g(g(g(g(g(g(g(y1))))))), g(g(g(g(g(g(y2)))))))) F(g(g(g(0))), g(g(g(g(g(g(1)))))), g(g(g(g(g(g(g(y0)))))))) -> c3(F(g(g(g(0))), g(g(g(g(g(g(1)))))), g(g(g(g(g(g(y0)))))))) F(g(g(g(y0))), g(g(g(g(g(g(y1)))))), g(g(g(g(g(g(g(g(y2))))))))) -> c3(F(g(g(g(y0))), g(g(g(g(g(g(y1)))))), g(g(g(g(g(g(g(y2))))))))) F(g(g(g(g(g(y0))))), g(g(g(g(g(g(y1)))))), g(g(g(g(g(g(g(y2)))))))) -> c3(F(g(g(g(g(g(y0))))), g(g(g(g(g(g(y1)))))), g(g(g(g(g(g(y2)))))))) F(g(g(g(g(y0)))), g(g(g(g(g(g(g(y1))))))), g(g(g(g(g(g(g(y2)))))))) -> c3(F(g(g(g(g(y0)))), g(g(g(g(g(g(g(y1))))))), g(g(g(g(g(g(y2)))))))) F(g(g(g(g(0)))), g(g(g(g(g(g(1)))))), g(g(g(g(g(g(g(y0)))))))) -> c3(F(g(g(g(g(0)))), g(g(g(g(g(g(1)))))), g(g(g(g(g(g(y0)))))))) F(g(g(g(g(y0)))), g(g(g(g(g(g(y1)))))), g(g(g(g(g(g(g(g(y2))))))))) -> c3(F(g(g(g(g(y0)))), g(g(g(g(g(g(y1)))))), g(g(g(g(g(g(g(y2))))))))) S tuples: F(g(g(0)), 1, z2) -> c1(F(g(0), 1, z2)) F(g(g(g(y0))), z1, z2) -> c1(F(g(g(y0)), z1, z2)) F(g(g(z0)), g(y1), z2) -> c1(F(g(z0), g(y1), z2)) F(g(g(z0)), z1, g(y2)) -> c1(F(g(z0), z1, g(y2))) F(g(g(z0)), g(g(y1)), z2) -> c1(F(g(z0), g(g(y1)), z2)) F(g(g(z0)), g(y1), g(y2)) -> c1(F(g(z0), g(y1), g(y2))) F(g(g(0)), g(1), z2) -> c1(F(g(0), g(1), z2)) F(g(g(g(y0))), g(y1), z2) -> c1(F(g(g(y0)), g(y1), z2)) F(g(g(z0)), z1, g(g(y2))) -> c1(F(g(z0), z1, g(g(y2)))) F(g(g(0)), 1, g(y0)) -> c1(F(g(0), 1, g(y0))) F(g(g(g(y0))), z1, g(y2)) -> c1(F(g(g(y0)), z1, g(y2))) F(g(g(z0)), g(g(y1)), g(y2)) -> c1(F(g(z0), g(g(y1)), g(y2))) F(g(g(z0)), g(y1), g(g(y2))) -> c1(F(g(z0), g(y1), g(g(y2)))) F(g(g(0)), g(1), g(y0)) -> c1(F(g(0), g(1), g(y0))) F(g(g(g(y0))), g(y1), g(y2)) -> c1(F(g(g(y0)), g(y1), g(y2))) F(g(0), g(1), z2) -> c1(F(0, g(1), z2)) F(g(z0), g(g(y1)), z2) -> c1(F(z0, g(g(y1)), z2)) F(g(z0), g(z1), g(y2)) -> c1(F(z0, g(z1), g(y2))) F(g(z0), g(z1), g(g(y2))) -> c1(F(z0, g(z1), g(g(y2)))) F(g(0), g(1), g(y0)) -> c1(F(0, g(1), g(y0))) F(g(z0), g(g(y1)), g(y2)) -> c1(F(z0, g(g(y1)), g(y2))) F(g(g(g(g(y0)))), g(z1), z2) -> c1(F(g(g(g(y0))), g(z1), z2)) F(g(g(g(y0))), g(g(y1)), z2) -> c1(F(g(g(y0)), g(g(y1)), z2)) F(g(g(g(0))), g(1), z2) -> c1(F(g(g(0)), g(1), z2)) F(g(g(g(y0))), g(z1), g(g(y2))) -> c1(F(g(g(y0)), g(z1), g(g(y2)))) F(g(g(g(g(y0)))), g(z1), g(y2)) -> c1(F(g(g(g(y0))), g(z1), g(y2))) F(g(g(g(y0))), g(g(y1)), g(y2)) -> c1(F(g(g(y0)), g(g(y1)), g(y2))) F(g(g(g(0))), g(1), g(y0)) -> c1(F(g(g(0)), g(1), g(y0))) F(0, 1, g(y2)) -> c(F(g(g(y2)), g(g(y2)), g(y2))) F(0, 1, g(g(y2))) -> c(F(g(g(g(y2))), g(g(g(y2))), g(g(y2)))) F(0, 1, g(g(g(y0)))) -> c(F(g(g(g(g(y0)))), g(g(g(g(y0)))), g(g(g(y0))))) F(g(0), 1, g(y0)) -> c1(F(0, 1, g(y0))) F(g(0), 1, g(g(y2))) -> c1(F(0, 1, g(g(y2)))) F(g(0), 1, g(g(g(y0)))) -> c1(F(0, 1, g(g(g(y0))))) F(g(z0), z1, g(g(y2))) -> c1(F(z0, z1, g(g(y2)))) F(g(g(g(0))), 1, g(z2)) -> c1(F(g(g(0)), 1, g(z2))) F(g(g(g(g(y0)))), z1, g(z2)) -> c1(F(g(g(g(y0))), z1, g(z2))) F(g(g(g(y0))), z1, g(g(y2))) -> c1(F(g(g(y0)), z1, g(g(y2)))) F(g(g(g(g(g(y0))))), g(y1), g(z2)) -> c1(F(g(g(g(g(y0)))), g(y1), g(z2))) F(g(g(g(g(y0)))), g(g(y1)), g(z2)) -> c1(F(g(g(g(y0))), g(g(y1)), g(z2))) F(g(g(g(g(0)))), g(1), g(z2)) -> c1(F(g(g(g(0))), g(1), g(z2))) F(g(g(g(g(y0)))), g(y1), g(g(y2))) -> c1(F(g(g(g(y0))), g(y1), g(g(y2)))) F(g(g(0)), 1, g(g(y0))) -> c1(F(g(0), 1, g(g(y0)))) F(g(g(0)), 1, g(g(g(y0)))) -> c1(F(g(0), 1, g(g(g(y0))))) F(0, g(1), g(y0)) -> c2(F(0, 1, g(y0))) F(0, g(1), g(g(y2))) -> c2(F(0, 1, g(g(y2)))) F(0, g(1), g(g(g(y0)))) -> c2(F(0, 1, g(g(g(y0))))) F(z0, g(g(g(y1))), z2) -> c2(F(z0, g(g(y1)), z2)) F(z0, g(g(z1)), g(y2)) -> c2(F(z0, g(z1), g(y2))) F(g(0), g(g(1)), z2) -> c2(F(g(0), g(1), z2)) F(g(g(y0)), g(g(z1)), z2) -> c2(F(g(g(y0)), g(z1), z2)) F(g(y0), g(g(g(y1))), z2) -> c2(F(g(y0), g(g(y1)), z2)) F(g(y0), g(g(z1)), g(y2)) -> c2(F(g(y0), g(z1), g(y2))) F(z0, g(g(z1)), g(g(y2))) -> c2(F(z0, g(z1), g(g(y2)))) F(g(g(y0)), g(g(z1)), g(y2)) -> c2(F(g(g(y0)), g(z1), g(y2))) F(g(y0), g(g(z1)), g(g(y2))) -> c2(F(g(y0), g(z1), g(g(y2)))) F(0, g(g(1)), g(y0)) -> c2(F(0, g(1), g(y0))) F(z0, g(g(g(y1))), g(y2)) -> c2(F(z0, g(g(y1)), g(y2))) F(g(0), g(g(1)), g(y0)) -> c2(F(g(0), g(1), g(y0))) F(g(y0), g(g(g(y1))), g(y2)) -> c2(F(g(y0), g(g(y1)), g(y2))) F(g(g(g(y0))), g(g(z1)), z2) -> c2(F(g(g(g(y0))), g(z1), z2)) F(g(g(y0)), g(g(g(y1))), z2) -> c2(F(g(g(y0)), g(g(y1)), z2)) F(g(g(0)), g(g(1)), z2) -> c2(F(g(g(0)), g(1), z2)) F(g(g(y0)), g(g(z1)), g(g(y2))) -> c2(F(g(g(y0)), g(z1), g(g(y2)))) F(g(g(g(y0))), g(g(z1)), g(y2)) -> c2(F(g(g(g(y0))), g(z1), g(y2))) F(g(g(y0)), g(g(g(y1))), g(y2)) -> c2(F(g(g(y0)), g(g(y1)), g(y2))) F(g(g(0)), g(g(1)), g(y0)) -> c2(F(g(g(0)), g(1), g(y0))) F(g(g(g(g(y0)))), g(g(z1)), z2) -> c2(F(g(g(g(g(y0)))), g(z1), z2)) F(g(g(g(y0))), g(g(g(y1))), z2) -> c2(F(g(g(g(y0))), g(g(y1)), z2)) F(g(g(g(0))), g(g(1)), z2) -> c2(F(g(g(g(0))), g(1), z2)) F(g(g(g(y0))), g(g(z1)), g(g(y2))) -> c2(F(g(g(g(y0))), g(z1), g(g(y2)))) F(g(g(g(g(y0)))), g(g(z1)), g(y2)) -> c2(F(g(g(g(g(y0)))), g(z1), g(y2))) F(g(g(g(y0))), g(g(g(y1))), g(y2)) -> c2(F(g(g(g(y0))), g(g(y1)), g(y2))) F(g(g(g(0))), g(g(1)), g(y0)) -> c2(F(g(g(g(0))), g(1), g(y0))) F(g(g(g(g(g(y0))))), g(g(z1)), g(y2)) -> c2(F(g(g(g(g(g(y0))))), g(z1), g(y2))) F(g(g(g(g(y0)))), g(g(g(y1))), g(y2)) -> c2(F(g(g(g(g(y0)))), g(g(y1)), g(y2))) F(g(g(g(g(0)))), g(g(1)), g(y0)) -> c2(F(g(g(g(g(0)))), g(1), g(y0))) F(g(g(g(g(y0)))), g(g(z1)), g(g(y2))) -> c2(F(g(g(g(g(y0)))), g(z1), g(g(y2)))) F(0, g(g(1)), g(g(y0))) -> c2(F(0, g(1), g(g(y0)))) F(0, g(g(1)), g(g(g(y0)))) -> c2(F(0, g(1), g(g(g(y0))))) F(z0, g(z1), g(g(y2))) -> c2(F(z0, z1, g(g(y2)))) F(g(0), g(1), g(z2)) -> c2(F(g(0), 1, g(z2))) F(g(g(y0)), g(z1), g(z2)) -> c2(F(g(g(y0)), z1, g(z2))) F(g(y0), g(z1), g(g(y2))) -> c2(F(g(y0), z1, g(g(y2)))) F(g(g(0)), g(1), g(z2)) -> c2(F(g(g(0)), 1, g(z2))) F(g(g(g(y0))), g(z1), g(z2)) -> c2(F(g(g(g(y0))), z1, g(z2))) F(g(g(y0)), g(z1), g(g(y2))) -> c2(F(g(g(y0)), z1, g(g(y2)))) F(g(0), g(1), g(g(y0))) -> c2(F(g(0), 1, g(g(y0)))) F(g(0), g(1), g(g(g(y0)))) -> c2(F(g(0), 1, g(g(g(y0))))) F(g(g(g(0))), g(1), g(z2)) -> c2(F(g(g(g(0))), 1, g(z2))) F(g(g(g(g(y0)))), g(z1), g(z2)) -> c2(F(g(g(g(g(y0)))), z1, g(z2))) F(g(g(g(y0))), g(z1), g(g(y2))) -> c2(F(g(g(g(y0))), z1, g(g(y2)))) F(g(g(0)), g(1), g(g(y0))) -> c2(F(g(g(0)), 1, g(g(y0)))) F(g(g(0)), g(1), g(g(g(y0)))) -> c2(F(g(g(0)), 1, g(g(g(y0))))) F(z0, g(g(g(g(y1)))), g(z2)) -> c2(F(z0, g(g(g(y1))), g(z2))) F(g(0), g(g(g(1))), g(z2)) -> c2(F(g(0), g(g(1)), g(z2))) F(g(y0), g(g(g(g(y1)))), g(z2)) -> c2(F(g(y0), g(g(g(y1))), g(z2))) F(z0, g(g(g(y1))), g(g(y2))) -> c2(F(z0, g(g(y1)), g(g(y2)))) F(g(y0), g(g(g(y1))), g(g(y2))) -> c2(F(g(y0), g(g(y1)), g(g(y2)))) F(0, g(g(g(1))), g(z2)) -> c2(F(0, g(g(1)), g(z2))) F(g(g(y0)), g(g(g(g(y1)))), g(z2)) -> c2(F(g(g(y0)), g(g(g(y1))), g(z2))) F(g(g(0)), g(g(g(1))), g(z2)) -> c2(F(g(g(0)), g(g(1)), g(z2))) F(g(g(y0)), g(g(g(y1))), g(g(y2))) -> c2(F(g(g(y0)), g(g(y1)), g(g(y2)))) F(g(g(g(y0))), g(g(g(g(y1)))), g(z2)) -> c2(F(g(g(g(y0))), g(g(g(y1))), g(z2))) F(g(g(g(0))), g(g(g(1))), g(z2)) -> c2(F(g(g(g(0))), g(g(1)), g(z2))) F(g(g(g(y0))), g(g(g(y1))), g(g(y2))) -> c2(F(g(g(g(y0))), g(g(y1)), g(g(y2)))) F(g(g(g(g(g(y0))))), g(g(g(y1))), g(z2)) -> c2(F(g(g(g(g(g(y0))))), g(g(y1)), g(z2))) F(g(g(g(g(y0)))), g(g(g(g(y1)))), g(z2)) -> c2(F(g(g(g(g(y0)))), g(g(g(y1))), g(z2))) F(g(g(g(g(0)))), g(g(g(1))), g(z2)) -> c2(F(g(g(g(g(0)))), g(g(1)), g(z2))) F(g(g(g(g(y0)))), g(g(g(y1))), g(g(y2))) -> c2(F(g(g(g(g(y0)))), g(g(y1)), g(g(y2)))) F(0, g(g(g(1))), g(g(y0))) -> c2(F(0, g(g(1)), g(g(y0)))) F(0, g(g(g(1))), g(g(g(y0)))) -> c2(F(0, g(g(1)), g(g(g(y0))))) F(g(g(0)), g(1), z2) -> c2(F(g(g(0)), 1, z2)) F(g(g(g(y0))), g(z1), z2) -> c2(F(g(g(g(y0))), z1, z2)) F(g(g(z0)), g(g(g(g(y1)))), z2) -> c2(F(g(g(z0)), g(g(g(y1))), z2)) F(g(g(0)), g(g(g(1))), z2) -> c2(F(g(g(0)), g(g(1)), z2)) F(g(g(g(g(y0)))), g(g(g(y1))), z2) -> c2(F(g(g(g(g(y0)))), g(g(y1)), z2)) F(g(g(g(y0))), g(g(g(g(y1)))), z2) -> c2(F(g(g(g(y0))), g(g(g(y1))), z2)) F(g(g(g(0))), g(g(g(1))), z2) -> c2(F(g(g(g(0))), g(g(1)), z2)) F(g(g(0)), g(g(1)), g(g(y0))) -> c2(F(g(g(0)), g(1), g(g(y0)))) F(g(g(0)), g(g(1)), g(g(g(y0)))) -> c2(F(g(g(0)), g(1), g(g(g(y0))))) F(g(g(z0)), g(g(g(g(g(y1))))), g(y2)) -> c2(F(g(g(z0)), g(g(g(g(y1)))), g(y2))) F(g(g(z0)), g(g(g(g(y1)))), g(g(y2))) -> c2(F(g(g(z0)), g(g(g(y1))), g(g(y2)))) F(g(g(0)), g(g(g(g(1)))), g(y0)) -> c2(F(g(g(0)), g(g(g(1))), g(y0))) F(g(g(g(y0))), g(g(g(g(g(y1))))), g(y2)) -> c2(F(g(g(g(y0))), g(g(g(g(y1)))), g(y2))) F(g(g(g(0))), g(g(g(g(1)))), g(y0)) -> c2(F(g(g(g(0))), g(g(g(1))), g(y0))) F(g(g(g(y0))), g(g(g(g(y1)))), g(g(y2))) -> c2(F(g(g(g(y0))), g(g(g(y1))), g(g(y2)))) F(g(g(g(g(g(y0))))), g(g(g(g(y1)))), g(y2)) -> c2(F(g(g(g(g(g(y0))))), g(g(g(y1))), g(y2))) F(g(g(g(g(y0)))), g(g(g(g(g(y1))))), g(y2)) -> c2(F(g(g(g(g(y0)))), g(g(g(g(y1)))), g(y2))) F(g(g(g(g(0)))), g(g(g(g(1)))), g(y0)) -> c2(F(g(g(g(g(0)))), g(g(g(1))), g(y0))) F(g(g(g(g(y0)))), g(g(g(g(y1)))), g(g(y2))) -> c2(F(g(g(g(g(y0)))), g(g(g(y1))), g(g(y2)))) F(g(z0), g(g(g(g(y1)))), z2) -> c2(F(g(z0), g(g(g(y1))), z2)) F(g(0), g(g(g(1))), z2) -> c2(F(g(0), g(g(1)), z2)) F(g(0), g(g(1)), g(g(y0))) -> c2(F(g(0), g(1), g(g(y0)))) F(g(0), g(g(1)), g(g(g(y0)))) -> c2(F(g(0), g(1), g(g(g(y0))))) F(g(z0), g(g(g(g(g(y1))))), g(y2)) -> c2(F(g(z0), g(g(g(g(y1)))), g(y2))) F(g(0), g(g(g(g(1)))), g(y0)) -> c2(F(g(0), g(g(g(1))), g(y0))) F(g(z0), g(g(g(g(y1)))), g(g(y2))) -> c2(F(g(z0), g(g(g(y1))), g(g(y2)))) F(g(g(y0)), g(g(g(g(g(y1))))), z2) -> c2(F(g(g(y0)), g(g(g(g(y1)))), z2)) F(g(g(0)), g(g(g(g(1)))), z2) -> c2(F(g(g(0)), g(g(g(1))), z2)) F(g(g(g(g(y0)))), g(g(g(g(y1)))), z2) -> c2(F(g(g(g(g(y0)))), g(g(g(y1))), z2)) F(g(g(g(y0))), g(g(g(g(g(y1))))), z2) -> c2(F(g(g(g(y0))), g(g(g(g(y1)))), z2)) F(g(g(g(0))), g(g(g(g(1)))), z2) -> c2(F(g(g(g(0))), g(g(g(1))), z2)) F(g(g(0)), g(g(g(1))), g(g(y0))) -> c2(F(g(g(0)), g(g(1)), g(g(y0)))) F(g(g(0)), g(g(g(1))), g(g(g(y0)))) -> c2(F(g(g(0)), g(g(1)), g(g(g(y0))))) F(g(g(y0)), g(g(g(g(g(g(y1)))))), g(y2)) -> c2(F(g(g(y0)), g(g(g(g(g(y1))))), g(y2))) F(g(g(y0)), g(g(g(g(g(y1))))), g(g(y2))) -> c2(F(g(g(y0)), g(g(g(g(y1)))), g(g(y2)))) F(g(g(0)), g(g(g(g(g(1))))), g(y0)) -> c2(F(g(g(0)), g(g(g(g(1)))), g(y0))) F(g(g(g(y0))), g(g(g(g(g(g(y1)))))), g(y2)) -> c2(F(g(g(g(y0))), g(g(g(g(g(y1))))), g(y2))) F(g(g(g(0))), g(g(g(g(g(1))))), g(y0)) -> c2(F(g(g(g(0))), g(g(g(g(1)))), g(y0))) F(g(g(g(y0))), g(g(g(g(g(y1))))), g(g(y2))) -> c2(F(g(g(g(y0))), g(g(g(g(y1)))), g(g(y2)))) F(g(g(g(g(g(y0))))), g(g(g(g(g(y1))))), g(y2)) -> c2(F(g(g(g(g(g(y0))))), g(g(g(g(y1)))), g(y2))) F(g(g(g(g(y0)))), g(g(g(g(g(g(y1)))))), g(y2)) -> c2(F(g(g(g(g(y0)))), g(g(g(g(g(y1))))), g(y2))) F(g(g(g(g(0)))), g(g(g(g(g(1))))), g(y0)) -> c2(F(g(g(g(g(0)))), g(g(g(g(1)))), g(y0))) F(g(g(g(g(y0)))), g(g(g(g(g(y1))))), g(g(y2))) -> c2(F(g(g(g(g(y0)))), g(g(g(g(y1)))), g(g(y2)))) F(g(0), g(g(g(1))), g(g(y0))) -> c2(F(g(0), g(g(1)), g(g(y0)))) F(g(0), g(g(g(1))), g(g(g(y0)))) -> c2(F(g(0), g(g(1)), g(g(g(y0))))) F(g(z0), g(g(g(g(g(g(y1)))))), g(z2)) -> c2(F(g(z0), g(g(g(g(g(y1))))), g(z2))) F(g(0), g(g(g(g(g(1))))), g(z2)) -> c2(F(g(0), g(g(g(g(1)))), g(z2))) F(g(z0), g(g(g(g(g(y1))))), g(g(y2))) -> c2(F(g(z0), g(g(g(g(y1)))), g(g(y2)))) F(g(g(0)), g(g(g(g(1)))), g(g(y0))) -> c2(F(g(g(0)), g(g(g(1))), g(g(y0)))) F(g(g(0)), g(g(g(g(1)))), g(g(g(y0)))) -> c2(F(g(g(0)), g(g(g(1))), g(g(g(y0))))) F(g(g(y0)), g(g(g(g(g(g(g(y1))))))), g(z2)) -> c2(F(g(g(y0)), g(g(g(g(g(g(y1)))))), g(z2))) F(g(g(y0)), g(g(g(g(g(g(y1)))))), g(g(y2))) -> c2(F(g(g(y0)), g(g(g(g(g(y1))))), g(g(y2)))) F(g(g(0)), g(g(g(g(g(g(1)))))), g(z2)) -> c2(F(g(g(0)), g(g(g(g(g(1))))), g(z2))) F(g(g(g(y0))), g(g(g(g(g(g(g(y1))))))), g(z2)) -> c2(F(g(g(g(y0))), g(g(g(g(g(g(y1)))))), g(z2))) F(g(g(g(0))), g(g(g(g(g(g(1)))))), g(z2)) -> c2(F(g(g(g(0))), g(g(g(g(g(1))))), g(z2))) F(g(g(g(y0))), g(g(g(g(g(g(y1)))))), g(g(y2))) -> c2(F(g(g(g(y0))), g(g(g(g(g(y1))))), g(g(y2)))) F(g(g(g(g(g(y0))))), g(g(g(g(g(g(y1)))))), g(z2)) -> c2(F(g(g(g(g(g(y0))))), g(g(g(g(g(y1))))), g(z2))) F(g(g(g(g(y0)))), g(g(g(g(g(g(g(y1))))))), g(z2)) -> c2(F(g(g(g(g(y0)))), g(g(g(g(g(g(y1)))))), g(z2))) F(g(g(g(g(0)))), g(g(g(g(g(g(1)))))), g(z2)) -> c2(F(g(g(g(g(0)))), g(g(g(g(g(1))))), g(z2))) F(g(g(g(g(y0)))), g(g(g(g(g(g(y1)))))), g(g(y2))) -> c2(F(g(g(g(g(y0)))), g(g(g(g(g(y1))))), g(g(y2)))) K tuples: F(g(0), g(1), g(z2)) -> c3(F(g(0), g(1), z2)) F(g(g(y0)), g(y1), g(z2)) -> c3(F(g(g(y0)), g(y1), z2)) F(g(y0), g(g(y1)), g(z2)) -> c3(F(g(y0), g(g(y1)), z2)) F(g(y0), g(y1), g(g(y2))) -> c3(F(g(y0), g(y1), g(y2))) F(0, 1, g(g(y0))) -> c3(F(0, 1, g(y0))) F(0, 1, g(g(g(y2)))) -> c3(F(0, 1, g(g(y2)))) F(0, 1, g(g(g(g(y0))))) -> c3(F(0, 1, g(g(g(y0))))) F(z0, z1, g(g(g(y2)))) -> c3(F(z0, z1, g(g(y2)))) F(g(0), 1, g(g(z2))) -> c3(F(g(0), 1, g(z2))) F(g(g(y0)), z1, g(g(z2))) -> c3(F(g(g(y0)), z1, g(z2))) F(g(y0), z1, g(g(g(y2)))) -> c3(F(g(y0), z1, g(g(y2)))) F(0, g(1), g(g(z2))) -> c3(F(0, g(1), g(z2))) F(z0, g(g(y1)), g(g(z2))) -> c3(F(z0, g(g(y1)), g(z2))) F(z0, g(y1), g(g(g(y2)))) -> c3(F(z0, g(y1), g(g(y2)))) F(g(0), g(1), g(g(z2))) -> c3(F(g(0), g(1), g(z2))) F(g(g(y0)), g(y1), g(g(z2))) -> c3(F(g(g(y0)), g(y1), g(z2))) F(g(y0), g(g(y1)), g(g(z2))) -> c3(F(g(y0), g(g(y1)), g(z2))) F(g(y0), g(y1), g(g(g(y2)))) -> c3(F(g(y0), g(y1), g(g(y2)))) F(g(g(0)), 1, g(g(z2))) -> c3(F(g(g(0)), 1, g(z2))) F(g(g(g(y0))), z1, g(g(z2))) -> c3(F(g(g(g(y0))), z1, g(z2))) F(g(g(y0)), g(g(y1)), g(g(z2))) -> c3(F(g(g(y0)), g(g(y1)), g(z2))) F(g(g(0)), g(1), g(g(z2))) -> c3(F(g(g(0)), g(1), g(z2))) F(g(g(g(y0))), g(y1), g(g(z2))) -> c3(F(g(g(g(y0))), g(y1), g(z2))) F(g(g(y0)), z1, g(g(g(y2)))) -> c3(F(g(g(y0)), z1, g(g(y2)))) F(g(g(y0)), g(y1), g(g(g(y2)))) -> c3(F(g(g(y0)), g(y1), g(g(y2)))) F(g(g(g(g(y0)))), g(y1), g(g(z2))) -> c3(F(g(g(g(g(y0)))), g(y1), g(z2))) F(g(g(g(y0))), g(g(y1)), g(g(z2))) -> c3(F(g(g(g(y0))), g(g(y1)), g(z2))) F(g(g(g(0))), g(1), g(g(z2))) -> c3(F(g(g(g(0))), g(1), g(z2))) F(g(g(g(y0))), g(y1), g(g(g(y2)))) -> c3(F(g(g(g(y0))), g(y1), g(g(y2)))) F(g(0), 1, g(g(g(y0)))) -> c3(F(g(0), 1, g(g(y0)))) F(g(0), 1, g(g(g(g(y0))))) -> c3(F(g(0), 1, g(g(g(y0))))) F(g(g(g(0))), 1, g(g(z2))) -> c3(F(g(g(g(0))), 1, g(z2))) F(g(g(g(g(y0)))), z1, g(g(z2))) -> c3(F(g(g(g(g(y0)))), z1, g(z2))) F(g(g(g(y0))), z1, g(g(g(y2)))) -> c3(F(g(g(g(y0))), z1, g(g(y2)))) F(g(g(g(g(g(y0))))), g(y1), g(g(z2))) -> c3(F(g(g(g(g(g(y0))))), g(y1), g(z2))) F(g(g(g(g(y0)))), g(g(y1)), g(g(z2))) -> c3(F(g(g(g(g(y0)))), g(g(y1)), g(z2))) F(g(g(g(g(0)))), g(1), g(g(z2))) -> c3(F(g(g(g(g(0)))), g(1), g(z2))) F(g(g(g(g(y0)))), g(y1), g(g(g(y2)))) -> c3(F(g(g(g(g(y0)))), g(y1), g(g(y2)))) F(g(g(0)), 1, g(g(g(y0)))) -> c3(F(g(g(0)), 1, g(g(y0)))) F(g(g(0)), 1, g(g(g(g(y0))))) -> c3(F(g(g(0)), 1, g(g(g(y0))))) F(0, g(1), g(g(g(y0)))) -> c3(F(0, g(1), g(g(y0)))) F(0, g(1), g(g(g(g(y0))))) -> c3(F(0, g(1), g(g(g(y0))))) F(z0, g(g(g(y1))), g(g(z2))) -> c3(F(z0, g(g(g(y1))), g(z2))) F(g(0), g(g(1)), g(g(z2))) -> c3(F(g(0), g(g(1)), g(z2))) F(g(y0), g(g(g(y1))), g(g(z2))) -> c3(F(g(y0), g(g(g(y1))), g(z2))) F(z0, g(g(y1)), g(g(g(y2)))) -> c3(F(z0, g(g(y1)), g(g(y2)))) F(g(y0), g(g(y1)), g(g(g(y2)))) -> c3(F(g(y0), g(g(y1)), g(g(y2)))) F(0, g(g(1)), g(g(z2))) -> c3(F(0, g(g(1)), g(z2))) F(g(g(y0)), g(g(g(y1))), g(g(z2))) -> c3(F(g(g(y0)), g(g(g(y1))), g(z2))) F(g(g(0)), g(g(1)), g(g(z2))) -> c3(F(g(g(0)), g(g(1)), g(z2))) F(g(g(y0)), g(g(y1)), g(g(g(y2)))) -> c3(F(g(g(y0)), g(g(y1)), g(g(y2)))) F(g(g(g(y0))), g(g(g(y1))), g(g(z2))) -> c3(F(g(g(g(y0))), g(g(g(y1))), g(z2))) F(g(g(g(0))), g(g(1)), g(g(z2))) -> c3(F(g(g(g(0))), g(g(1)), g(z2))) F(g(g(g(y0))), g(g(y1)), g(g(g(y2)))) -> c3(F(g(g(g(y0))), g(g(y1)), g(g(y2)))) F(g(g(g(g(g(y0))))), g(g(y1)), g(g(z2))) -> c3(F(g(g(g(g(g(y0))))), g(g(y1)), g(z2))) F(g(g(g(g(y0)))), g(g(g(y1))), g(g(z2))) -> c3(F(g(g(g(g(y0)))), g(g(g(y1))), g(z2))) F(g(g(g(g(0)))), 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g(g(g(g(y0))))) -> c3(F(g(g(0)), g(g(1)), g(g(g(y0))))) F(g(g(y0)), g(g(g(g(g(y1))))), g(g(z2))) -> c3(F(g(g(y0)), g(g(g(g(g(y1))))), g(z2))) F(g(g(y0)), g(g(g(g(y1)))), g(g(g(y2)))) -> c3(F(g(g(y0)), g(g(g(g(y1)))), g(g(y2)))) F(g(g(0)), g(g(g(g(1)))), g(g(z2))) -> c3(F(g(g(0)), g(g(g(g(1)))), g(z2))) F(g(g(g(y0))), g(g(g(g(g(y1))))), g(g(z2))) -> c3(F(g(g(g(y0))), g(g(g(g(g(y1))))), g(z2))) F(g(g(g(0))), g(g(g(g(1)))), g(g(z2))) -> c3(F(g(g(g(0))), g(g(g(g(1)))), g(z2))) F(g(g(g(y0))), g(g(g(g(y1)))), g(g(g(y2)))) -> c3(F(g(g(g(y0))), g(g(g(g(y1)))), g(g(y2)))) F(g(g(g(g(g(y0))))), g(g(g(g(y1)))), g(g(z2))) -> c3(F(g(g(g(g(g(y0))))), g(g(g(g(y1)))), g(z2))) F(g(g(g(g(y0)))), g(g(g(g(g(y1))))), g(g(z2))) -> c3(F(g(g(g(g(y0)))), g(g(g(g(g(y1))))), g(z2))) F(g(g(g(g(0)))), g(g(g(g(1)))), g(g(z2))) -> c3(F(g(g(g(g(0)))), g(g(g(g(1)))), g(z2))) F(g(g(g(g(y0)))), g(g(g(g(y1)))), g(g(g(y2)))) -> c3(F(g(g(g(g(y0)))), g(g(g(g(y1)))), g(g(y2)))) F(g(0), g(g(1)), g(g(g(y0)))) -> c3(F(g(0), 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g(g(g(g(g(y1))))), g(g(y2)))) F(g(g(g(g(g(y0))))), g(g(g(g(g(y1))))), g(g(z2))) -> c3(F(g(g(g(g(g(y0))))), g(g(g(g(g(y1))))), g(z2))) F(g(g(g(g(y0)))), g(g(g(g(g(g(y1)))))), g(g(z2))) -> c3(F(g(g(g(g(y0)))), g(g(g(g(g(g(y1)))))), g(z2))) F(g(g(g(g(0)))), g(g(g(g(g(1))))), g(g(z2))) -> c3(F(g(g(g(g(0)))), g(g(g(g(g(1))))), g(z2))) F(g(g(g(g(y0)))), g(g(g(g(g(y1))))), g(g(g(y2)))) -> c3(F(g(g(g(g(y0)))), g(g(g(g(g(y1))))), g(g(y2)))) F(g(0), g(g(g(1))), g(g(g(y0)))) -> c3(F(g(0), g(g(g(1))), g(g(y0)))) F(g(0), g(g(g(1))), g(g(g(g(y0))))) -> c3(F(g(0), g(g(g(1))), g(g(g(y0))))) F(g(y0), g(g(g(g(g(g(y1)))))), g(g(z2))) -> c3(F(g(y0), g(g(g(g(g(g(y1)))))), g(z2))) F(g(0), g(g(g(g(g(1))))), g(g(z2))) -> c3(F(g(0), g(g(g(g(g(1))))), g(z2))) F(g(y0), g(g(g(g(g(y1))))), g(g(g(y2)))) -> c3(F(g(y0), g(g(g(g(g(y1))))), g(g(y2)))) F(g(g(0)), g(g(g(g(1)))), g(g(g(y0)))) -> c3(F(g(g(0)), g(g(g(g(1)))), g(g(y0)))) F(g(g(0)), g(g(g(g(1)))), g(g(g(g(y0))))) -> c3(F(g(g(0)), g(g(g(g(1)))), g(g(g(y0))))) F(g(g(y0)), g(g(g(g(g(g(g(y1))))))), g(g(z2))) -> c3(F(g(g(y0)), g(g(g(g(g(g(g(y1))))))), g(z2))) F(g(g(y0)), g(g(g(g(g(g(y1)))))), g(g(g(y2)))) -> c3(F(g(g(y0)), g(g(g(g(g(g(y1)))))), g(g(y2)))) F(g(g(0)), g(g(g(g(g(g(1)))))), g(g(z2))) -> c3(F(g(g(0)), g(g(g(g(g(g(1)))))), g(z2))) F(g(g(g(y0))), g(g(g(g(g(g(g(y1))))))), g(g(z2))) -> c3(F(g(g(g(y0))), g(g(g(g(g(g(g(y1))))))), g(z2))) F(g(g(g(0))), g(g(g(g(g(g(1)))))), g(g(z2))) -> c3(F(g(g(g(0))), g(g(g(g(g(g(1)))))), g(z2))) F(g(g(g(y0))), g(g(g(g(g(g(y1)))))), g(g(g(y2)))) -> c3(F(g(g(g(y0))), g(g(g(g(g(g(y1)))))), g(g(y2)))) F(g(g(g(g(g(y0))))), g(g(g(g(g(g(y1)))))), g(g(z2))) -> c3(F(g(g(g(g(g(y0))))), g(g(g(g(g(g(y1)))))), g(z2))) F(g(g(g(g(y0)))), g(g(g(g(g(g(g(y1))))))), g(g(z2))) -> c3(F(g(g(g(g(y0)))), g(g(g(g(g(g(g(y1))))))), g(z2))) F(g(g(g(g(0)))), g(g(g(g(g(g(1)))))), g(g(z2))) -> c3(F(g(g(g(g(0)))), g(g(g(g(g(g(1)))))), g(z2))) F(g(g(g(g(y0)))), g(g(g(g(g(g(y1)))))), g(g(g(y2)))) -> c3(F(g(g(g(g(y0)))), g(g(g(g(g(g(y1)))))), g(g(y2)))) F(0, 1, g(g(g(g(g(y0)))))) -> c3(F(0, 1, g(g(g(g(y0)))))) F(g(0), 1, g(g(g(g(g(y0)))))) -> c3(F(g(0), 1, g(g(g(g(y0)))))) F(g(g(0)), 1, g(z2)) -> c3(F(g(g(0)), 1, z2)) F(g(g(g(y0))), z1, g(z2)) -> c3(F(g(g(g(y0))), z1, z2)) F(g(g(z0)), g(g(y1)), g(z2)) -> c3(F(g(g(z0)), g(g(y1)), z2)) F(g(g(0)), g(1), g(z2)) -> c3(F(g(g(0)), g(1), z2)) F(g(g(g(y0))), g(y1), g(z2)) -> c3(F(g(g(g(y0))), g(y1), z2)) F(g(g(g(g(y0)))), g(y1), g(z2)) -> c3(F(g(g(g(g(y0)))), g(y1), z2)) F(g(g(g(y0))), g(g(y1)), g(z2)) -> c3(F(g(g(g(y0))), g(g(y1)), z2)) F(g(g(g(0))), g(1), g(z2)) -> c3(F(g(g(g(0))), g(1), z2)) F(g(g(z0)), g(g(g(y1))), g(z2)) -> c3(F(g(g(z0)), g(g(g(y1))), z2)) F(g(g(0)), g(g(1)), g(z2)) -> c3(F(g(g(0)), g(g(1)), z2)) F(g(g(g(g(y0)))), g(g(y1)), g(z2)) -> c3(F(g(g(g(g(y0)))), g(g(y1)), z2)) F(g(g(g(y0))), g(g(g(y1))), g(z2)) -> c3(F(g(g(g(y0))), g(g(g(y1))), z2)) F(g(g(g(0))), g(g(1)), g(z2)) -> c3(F(g(g(g(0))), g(g(1)), z2)) F(g(g(z0)), g(g(g(g(y1)))), g(z2)) -> c3(F(g(g(z0)), g(g(g(g(y1)))), z2)) F(g(g(0)), g(g(g(1))), g(z2)) -> c3(F(g(g(0)), g(g(g(1))), z2)) F(g(g(g(g(y0)))), g(g(g(y1))), g(z2)) -> c3(F(g(g(g(g(y0)))), g(g(g(y1))), z2)) F(g(g(g(y0))), g(g(g(g(y1)))), g(z2)) -> c3(F(g(g(g(y0))), g(g(g(g(y1)))), z2)) F(g(g(g(0))), g(g(g(1))), g(z2)) -> c3(F(g(g(g(0))), g(g(g(1))), z2)) F(g(g(z0)), g(g(g(g(g(y1))))), g(z2)) -> c3(F(g(g(z0)), g(g(g(g(g(y1))))), z2)) F(g(g(0)), g(g(g(g(1)))), g(z2)) -> c3(F(g(g(0)), g(g(g(g(1)))), z2)) F(g(g(g(g(y0)))), g(g(g(g(y1)))), g(z2)) -> c3(F(g(g(g(g(y0)))), g(g(g(g(y1)))), z2)) F(g(g(g(y0))), g(g(g(g(g(y1))))), g(z2)) -> c3(F(g(g(g(y0))), g(g(g(g(g(y1))))), z2)) F(g(g(g(0))), g(g(g(g(1)))), g(z2)) -> c3(F(g(g(g(0))), g(g(g(g(1)))), z2)) F(g(g(z0)), z1, g(g(g(g(y2))))) -> c3(F(g(g(z0)), z1, g(g(g(y2))))) F(g(g(z0)), g(y1), g(g(g(g(y2))))) -> c3(F(g(g(z0)), g(y1), g(g(g(y2))))) F(g(g(g(0))), g(1), g(g(g(y0)))) -> c3(F(g(g(g(0))), g(1), g(g(y0)))) F(g(g(g(y0))), g(y1), g(g(g(g(y2))))) -> 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F(g(g(g(g(y0)))), g(g(y1)), g(g(g(g(y2))))) -> c3(F(g(g(g(g(y0)))), g(g(y1)), g(g(g(y2))))) F(g(g(0)), g(1), g(g(g(g(g(y0)))))) -> c3(F(g(g(0)), g(1), g(g(g(g(y0)))))) F(g(g(z0)), g(g(g(y1))), g(g(g(g(y2))))) -> c3(F(g(g(z0)), g(g(g(y1))), g(g(g(y2))))) F(g(g(g(0))), g(g(g(1))), g(g(g(y0)))) -> c3(F(g(g(g(0))), g(g(g(1))), g(g(y0)))) F(g(g(g(y0))), g(g(g(y1))), g(g(g(g(y2))))) -> c3(F(g(g(g(y0))), g(g(g(y1))), g(g(g(y2))))) F(g(g(g(g(g(y0))))), g(g(g(y1))), g(g(g(y2)))) -> c3(F(g(g(g(g(g(y0))))), g(g(g(y1))), g(g(y2)))) F(g(g(g(g(0)))), g(g(g(1))), g(g(g(y0)))) -> c3(F(g(g(g(g(0)))), g(g(g(1))), g(g(y0)))) F(g(g(g(g(y0)))), g(g(g(y1))), g(g(g(g(y2))))) -> c3(F(g(g(g(g(y0)))), g(g(g(y1))), g(g(g(y2))))) F(g(g(0)), g(g(1)), g(g(g(g(g(y0)))))) -> c3(F(g(g(0)), g(g(1)), g(g(g(g(y0)))))) F(g(g(z0)), g(g(g(g(y1)))), g(g(g(g(y2))))) -> c3(F(g(g(z0)), g(g(g(g(y1)))), g(g(g(y2))))) F(g(g(g(0))), g(g(g(g(1)))), g(g(g(y0)))) -> c3(F(g(g(g(0))), g(g(g(g(1)))), g(g(y0)))) F(g(g(g(y0))), g(g(g(g(y1)))), g(g(g(g(y2))))) -> c3(F(g(g(g(y0))), g(g(g(g(y1)))), g(g(g(y2))))) F(g(g(g(g(g(y0))))), g(g(g(g(y1)))), g(g(g(y2)))) -> c3(F(g(g(g(g(g(y0))))), g(g(g(g(y1)))), g(g(y2)))) F(g(g(g(g(0)))), g(g(g(g(1)))), g(g(g(y0)))) -> c3(F(g(g(g(g(0)))), g(g(g(g(1)))), g(g(y0)))) F(g(g(g(g(y0)))), g(g(g(g(y1)))), g(g(g(g(y2))))) -> c3(F(g(g(g(g(y0)))), g(g(g(g(y1)))), g(g(g(y2))))) F(g(g(0)), g(g(g(1))), g(g(g(g(g(y0)))))) -> c3(F(g(g(0)), g(g(g(1))), g(g(g(g(y0)))))) F(g(g(z0)), g(g(g(g(g(y1))))), g(g(g(g(y2))))) -> c3(F(g(g(z0)), g(g(g(g(g(y1))))), g(g(g(y2))))) F(g(g(0)), g(g(g(g(g(1))))), g(g(g(y0)))) -> c3(F(g(g(0)), g(g(g(g(g(1))))), g(g(y0)))) F(g(g(g(0))), g(g(g(g(g(1))))), g(g(g(y0)))) -> c3(F(g(g(g(0))), g(g(g(g(g(1))))), g(g(y0)))) F(g(g(g(y0))), g(g(g(g(g(y1))))), g(g(g(g(y2))))) -> c3(F(g(g(g(y0))), g(g(g(g(g(y1))))), g(g(g(y2))))) F(g(g(g(g(g(y0))))), g(g(g(g(g(y1))))), g(g(g(y2)))) -> c3(F(g(g(g(g(g(y0))))), g(g(g(g(g(y1))))), g(g(y2)))) F(g(g(g(g(0)))), g(g(g(g(g(1))))), g(g(g(y0)))) -> c3(F(g(g(g(g(0)))), g(g(g(g(g(1))))), g(g(y0)))) F(g(g(g(g(y0)))), g(g(g(g(g(y1))))), g(g(g(g(y2))))) -> c3(F(g(g(g(g(y0)))), g(g(g(g(g(y1))))), g(g(g(y2))))) F(g(g(0)), g(g(g(g(1)))), g(g(g(g(g(y0)))))) -> c3(F(g(g(0)), g(g(g(g(1)))), g(g(g(g(y0)))))) F(g(g(z0)), g(g(g(g(g(g(g(y1))))))), g(g(g(y2)))) -> c3(F(g(g(z0)), g(g(g(g(g(g(g(y1))))))), g(g(y2)))) F(g(g(z0)), g(g(g(g(g(g(y1)))))), g(g(g(g(y2))))) -> c3(F(g(g(z0)), g(g(g(g(g(g(y1)))))), g(g(g(y2))))) F(g(g(0)), g(g(g(g(g(g(1)))))), g(g(g(y0)))) -> c3(F(g(g(0)), g(g(g(g(g(g(1)))))), g(g(y0)))) F(g(g(g(y0))), g(g(g(g(g(g(g(y1))))))), g(g(g(y2)))) -> c3(F(g(g(g(y0))), g(g(g(g(g(g(g(y1))))))), g(g(y2)))) F(g(g(g(0))), g(g(g(g(g(g(1)))))), g(g(g(y0)))) -> c3(F(g(g(g(0))), g(g(g(g(g(g(1)))))), g(g(y0)))) F(g(g(g(y0))), g(g(g(g(g(g(y1)))))), g(g(g(g(y2))))) -> c3(F(g(g(g(y0))), g(g(g(g(g(g(y1)))))), g(g(g(y2))))) F(g(g(g(g(g(y0))))), g(g(g(g(g(g(y1)))))), g(g(g(y2)))) -> c3(F(g(g(g(g(g(y0))))), g(g(g(g(g(g(y1)))))), g(g(y2)))) F(g(g(g(g(y0)))), g(g(g(g(g(g(g(y1))))))), g(g(g(y2)))) -> c3(F(g(g(g(g(y0)))), g(g(g(g(g(g(g(y1))))))), g(g(y2)))) F(g(g(g(g(0)))), g(g(g(g(g(g(1)))))), g(g(g(y0)))) -> c3(F(g(g(g(g(0)))), g(g(g(g(g(g(1)))))), g(g(y0)))) F(g(g(g(g(y0)))), g(g(g(g(g(g(y1)))))), g(g(g(g(y2))))) -> c3(F(g(g(g(g(y0)))), g(g(g(g(g(g(y1)))))), g(g(g(y2))))) F(g(z0), g(g(g(y1))), g(z2)) -> c3(F(g(z0), g(g(g(y1))), z2)) F(g(0), g(g(1)), g(z2)) -> c3(F(g(0), g(g(1)), z2)) F(g(z0), g(g(g(g(y1)))), g(z2)) -> c3(F(g(z0), g(g(g(g(y1)))), z2)) F(g(0), g(g(g(1))), g(z2)) -> c3(F(g(0), g(g(g(1))), z2)) F(g(z0), g(z1), g(g(g(g(y2))))) -> c3(F(g(z0), g(z1), g(g(g(y2))))) F(g(z0), g(g(y1)), g(g(g(g(y2))))) -> c3(F(g(z0), g(g(y1)), g(g(g(y2))))) F(g(0), g(1), g(g(g(g(g(y0)))))) -> c3(F(g(0), g(1), g(g(g(g(y0)))))) F(g(z0), g(g(g(y1))), g(g(g(g(y2))))) -> c3(F(g(z0), g(g(g(y1))), g(g(g(y2))))) F(g(0), g(g(1)), g(g(g(g(g(y0)))))) -> c3(F(g(0), g(g(1)), g(g(g(g(y0)))))) F(g(0), g(g(g(g(1)))), g(g(g(y0)))) -> c3(F(g(0), g(g(g(g(1)))), g(g(y0)))) F(g(z0), g(g(g(g(y1)))), g(g(g(g(y2))))) -> c3(F(g(z0), g(g(g(g(y1)))), g(g(g(y2))))) F(g(0), g(g(g(1))), g(g(g(g(g(y0)))))) -> c3(F(g(0), g(g(g(1))), g(g(g(g(y0)))))) F(g(z0), g(g(g(g(g(g(y1)))))), g(g(g(y2)))) -> c3(F(g(z0), g(g(g(g(g(g(y1)))))), g(g(y2)))) F(g(0), g(g(g(g(g(1))))), g(g(g(y0)))) -> c3(F(g(0), g(g(g(g(g(1))))), g(g(y0)))) F(g(z0), g(g(g(g(g(y1))))), g(g(g(g(y2))))) -> c3(F(g(z0), g(g(g(g(g(y1))))), g(g(g(y2))))) F(g(g(y0)), g(z1), g(g(g(g(g(y2)))))) -> c3(F(g(g(y0)), g(z1), g(g(g(g(y2)))))) F(g(g(g(0))), g(1), g(g(g(g(y0))))) -> c3(F(g(g(g(0))), g(1), g(g(g(y0))))) F(g(g(g(y0))), g(z1), g(g(g(g(g(y2)))))) -> c3(F(g(g(g(y0))), g(z1), g(g(g(g(y2)))))) F(g(g(g(g(g(y0))))), g(z1), g(g(g(g(y2))))) -> c3(F(g(g(g(g(g(y0))))), g(z1), g(g(g(y2))))) F(g(g(g(g(0)))), g(1), g(g(g(g(y0))))) -> c3(F(g(g(g(g(0)))), g(1), g(g(g(y0))))) F(g(g(g(g(y0)))), g(z1), g(g(g(g(g(y2)))))) -> c3(F(g(g(g(g(y0)))), g(z1), g(g(g(g(y2)))))) F(g(g(y0)), g(g(y1)), g(g(g(g(g(y2)))))) -> c3(F(g(g(y0)), g(g(y1)), g(g(g(g(y2)))))) F(g(g(g(0))), g(g(1)), g(g(g(g(y0))))) -> c3(F(g(g(g(0))), g(g(1)), g(g(g(y0))))) F(g(g(g(y0))), g(g(y1)), g(g(g(g(g(y2)))))) -> c3(F(g(g(g(y0))), g(g(y1)), g(g(g(g(y2)))))) F(g(g(g(g(g(y0))))), g(g(y1)), g(g(g(g(y2))))) -> c3(F(g(g(g(g(g(y0))))), g(g(y1)), g(g(g(y2))))) F(g(g(g(g(0)))), g(g(1)), g(g(g(g(y0))))) -> c3(F(g(g(g(g(0)))), g(g(1)), g(g(g(y0))))) F(g(g(g(g(y0)))), g(g(y1)), g(g(g(g(g(y2)))))) -> c3(F(g(g(g(g(y0)))), g(g(y1)), g(g(g(g(y2)))))) F(g(g(0)), g(1), g(g(g(g(g(g(y0))))))) -> c3(F(g(g(0)), g(1), g(g(g(g(g(y0))))))) F(g(g(y0)), g(g(g(y1))), g(g(g(g(g(y2)))))) -> c3(F(g(g(y0)), g(g(g(y1))), g(g(g(g(y2)))))) F(g(g(g(0))), g(g(g(1))), g(g(g(g(y0))))) -> c3(F(g(g(g(0))), g(g(g(1))), g(g(g(y0))))) F(g(g(g(y0))), g(g(g(y1))), g(g(g(g(g(y2)))))) -> c3(F(g(g(g(y0))), g(g(g(y1))), g(g(g(g(y2)))))) F(g(g(g(g(g(y0))))), g(g(g(y1))), g(g(g(g(y2))))) -> c3(F(g(g(g(g(g(y0))))), g(g(g(y1))), g(g(g(y2))))) F(g(g(g(g(0)))), g(g(g(1))), g(g(g(g(y0))))) -> c3(F(g(g(g(g(0)))), g(g(g(1))), g(g(g(y0))))) F(g(g(g(g(y0)))), g(g(g(y1))), g(g(g(g(g(y2)))))) -> c3(F(g(g(g(g(y0)))), g(g(g(y1))), g(g(g(g(y2)))))) F(g(g(0)), g(g(1)), g(g(g(g(g(g(y0))))))) -> c3(F(g(g(0)), g(g(1)), g(g(g(g(g(y0))))))) F(g(g(y0)), g(g(g(g(y1)))), g(g(g(g(g(y2)))))) -> c3(F(g(g(y0)), g(g(g(g(y1)))), g(g(g(g(y2)))))) F(g(g(g(0))), g(g(g(g(1)))), g(g(g(g(y0))))) -> c3(F(g(g(g(0))), g(g(g(g(1)))), g(g(g(y0))))) F(g(g(g(y0))), g(g(g(g(y1)))), g(g(g(g(g(y2)))))) -> c3(F(g(g(g(y0))), g(g(g(g(y1)))), g(g(g(g(y2)))))) F(g(g(g(g(g(y0))))), g(g(g(g(y1)))), g(g(g(g(y2))))) -> c3(F(g(g(g(g(g(y0))))), g(g(g(g(y1)))), g(g(g(y2))))) F(g(g(g(g(0)))), g(g(g(g(1)))), g(g(g(g(y0))))) -> c3(F(g(g(g(g(0)))), g(g(g(g(1)))), g(g(g(y0))))) F(g(g(g(g(y0)))), g(g(g(g(y1)))), g(g(g(g(g(y2)))))) -> c3(F(g(g(g(g(y0)))), g(g(g(g(y1)))), g(g(g(g(y2)))))) F(g(g(0)), g(g(g(1))), g(g(g(g(g(g(y0))))))) -> c3(F(g(g(0)), g(g(g(1))), g(g(g(g(g(y0))))))) F(g(g(y0)), g(g(g(g(g(y1))))), g(g(g(g(g(y2)))))) -> c3(F(g(g(y0)), g(g(g(g(g(y1))))), g(g(g(g(y2)))))) F(g(g(0)), g(g(g(g(g(1))))), g(g(g(g(y0))))) -> c3(F(g(g(0)), g(g(g(g(g(1))))), g(g(g(y0))))) F(g(g(g(0))), g(g(g(g(g(1))))), g(g(g(g(y0))))) -> c3(F(g(g(g(0))), g(g(g(g(g(1))))), g(g(g(y0))))) F(g(g(g(y0))), g(g(g(g(g(y1))))), g(g(g(g(g(y2)))))) -> c3(F(g(g(g(y0))), g(g(g(g(g(y1))))), g(g(g(g(y2)))))) F(g(g(g(g(g(y0))))), g(g(g(g(g(y1))))), g(g(g(g(y2))))) -> c3(F(g(g(g(g(g(y0))))), g(g(g(g(g(y1))))), g(g(g(y2))))) F(g(g(g(g(0)))), g(g(g(g(g(1))))), g(g(g(g(y0))))) -> c3(F(g(g(g(g(0)))), g(g(g(g(g(1))))), g(g(g(y0))))) F(g(g(g(g(y0)))), g(g(g(g(g(y1))))), g(g(g(g(g(y2)))))) -> c3(F(g(g(g(g(y0)))), g(g(g(g(g(y1))))), g(g(g(g(y2)))))) F(g(g(0)), g(g(g(g(1)))), g(g(g(g(g(g(y0))))))) -> c3(F(g(g(0)), g(g(g(g(1)))), g(g(g(g(g(y0))))))) F(g(g(y0)), g(g(g(g(g(g(g(y1))))))), g(g(g(g(y2))))) -> c3(F(g(g(y0)), g(g(g(g(g(g(g(y1))))))), g(g(g(y2))))) F(g(g(y0)), 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g(g(g(y0))))) F(g(z0), g(g(g(g(y1)))), g(g(g(g(g(y2)))))) -> c3(F(g(z0), g(g(g(g(y1)))), g(g(g(g(y2)))))) F(g(0), g(g(g(1))), g(g(g(g(g(g(y0))))))) -> c3(F(g(0), g(g(g(1))), g(g(g(g(g(y0))))))) F(g(z0), g(g(g(g(g(g(y1)))))), g(g(g(g(y2))))) -> c3(F(g(z0), g(g(g(g(g(g(y1)))))), g(g(g(y2))))) F(g(0), g(g(g(g(g(1))))), g(g(g(g(y0))))) -> c3(F(g(0), g(g(g(g(g(1))))), g(g(g(y0))))) F(g(z0), g(g(g(g(g(y1))))), g(g(g(g(g(y2)))))) -> c3(F(g(z0), g(g(g(g(g(y1))))), g(g(g(g(y2)))))) F(g(g(y0)), g(y1), g(g(g(g(g(g(y2))))))) -> c3(F(g(g(y0)), g(y1), g(g(g(g(g(y2))))))) F(g(g(g(0))), g(1), g(g(g(g(g(y0)))))) -> c3(F(g(g(g(0))), g(1), g(g(g(g(y0)))))) F(g(g(g(y0))), g(y1), g(g(g(g(g(g(y2))))))) -> c3(F(g(g(g(y0))), g(y1), g(g(g(g(g(y2))))))) F(g(g(g(g(g(y0))))), g(y1), g(g(g(g(g(y2)))))) -> c3(F(g(g(g(g(g(y0))))), g(y1), g(g(g(g(y2)))))) F(g(g(g(g(0)))), g(1), g(g(g(g(g(y0)))))) -> c3(F(g(g(g(g(0)))), g(1), g(g(g(g(y0)))))) F(g(g(g(g(y0)))), g(y1), g(g(g(g(g(g(y2))))))) -> c3(F(g(g(g(g(y0)))), g(y1), g(g(g(g(g(y2))))))) F(g(g(y0)), g(g(y1)), g(g(g(g(g(g(y2))))))) -> c3(F(g(g(y0)), g(g(y1)), g(g(g(g(g(y2))))))) F(g(g(g(0))), g(g(1)), g(g(g(g(g(y0)))))) -> c3(F(g(g(g(0))), g(g(1)), g(g(g(g(y0)))))) F(g(g(g(y0))), g(g(y1)), g(g(g(g(g(g(y2))))))) -> c3(F(g(g(g(y0))), g(g(y1)), g(g(g(g(g(y2))))))) F(g(g(g(g(g(y0))))), g(g(y1)), g(g(g(g(g(y2)))))) -> c3(F(g(g(g(g(g(y0))))), g(g(y1)), g(g(g(g(y2)))))) F(g(g(g(g(0)))), g(g(1)), g(g(g(g(g(y0)))))) -> c3(F(g(g(g(g(0)))), g(g(1)), g(g(g(g(y0)))))) F(g(g(g(g(y0)))), g(g(y1)), g(g(g(g(g(g(y2))))))) -> c3(F(g(g(g(g(y0)))), g(g(y1)), g(g(g(g(g(y2))))))) F(g(g(0)), g(1), g(g(g(g(g(g(g(y0)))))))) -> c3(F(g(g(0)), g(1), g(g(g(g(g(g(y0)))))))) F(g(g(y0)), g(g(g(y1))), g(g(g(g(g(g(y2))))))) -> c3(F(g(g(y0)), g(g(g(y1))), g(g(g(g(g(y2))))))) F(g(g(g(0))), g(g(g(1))), g(g(g(g(g(y0)))))) -> c3(F(g(g(g(0))), g(g(g(1))), g(g(g(g(y0)))))) F(g(g(g(y0))), g(g(g(y1))), g(g(g(g(g(g(y2))))))) -> c3(F(g(g(g(y0))), g(g(g(y1))), g(g(g(g(g(y2))))))) 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g(g(g(g(g(g(y2))))))) -> c3(F(g(g(g(g(y0)))), g(g(g(g(y1)))), g(g(g(g(g(y2))))))) F(g(g(0)), g(g(g(1))), g(g(g(g(g(g(g(y0)))))))) -> c3(F(g(g(0)), g(g(g(1))), g(g(g(g(g(g(y0)))))))) F(g(g(y0)), g(g(g(g(g(y1))))), g(g(g(g(g(g(y2))))))) -> c3(F(g(g(y0)), g(g(g(g(g(y1))))), g(g(g(g(g(y2))))))) F(g(g(0)), g(g(g(g(g(1))))), g(g(g(g(g(y0)))))) -> c3(F(g(g(0)), g(g(g(g(g(1))))), g(g(g(g(y0)))))) F(g(g(g(0))), g(g(g(g(g(1))))), g(g(g(g(g(y0)))))) -> c3(F(g(g(g(0))), g(g(g(g(g(1))))), g(g(g(g(y0)))))) F(g(g(g(y0))), g(g(g(g(g(y1))))), g(g(g(g(g(g(y2))))))) -> c3(F(g(g(g(y0))), g(g(g(g(g(y1))))), g(g(g(g(g(y2))))))) F(g(g(g(g(g(y0))))), g(g(g(g(g(y1))))), g(g(g(g(g(y2)))))) -> c3(F(g(g(g(g(g(y0))))), g(g(g(g(g(y1))))), g(g(g(g(y2)))))) F(g(g(g(g(0)))), g(g(g(g(g(1))))), g(g(g(g(g(y0)))))) -> c3(F(g(g(g(g(0)))), g(g(g(g(g(1))))), g(g(g(g(y0)))))) F(g(g(g(g(y0)))), g(g(g(g(g(y1))))), g(g(g(g(g(g(y2))))))) -> c3(F(g(g(g(g(y0)))), g(g(g(g(g(y1))))), g(g(g(g(g(y2))))))) F(g(g(0)), g(g(g(g(1)))), g(g(g(g(g(g(g(y0)))))))) -> c3(F(g(g(0)), g(g(g(g(1)))), g(g(g(g(g(g(y0)))))))) F(g(g(y0)), g(g(g(g(g(g(g(y1))))))), g(g(g(g(g(y2)))))) -> c3(F(g(g(y0)), g(g(g(g(g(g(g(y1))))))), g(g(g(g(y2)))))) F(g(g(y0)), g(g(g(g(g(g(y1)))))), g(g(g(g(g(g(y2))))))) -> c3(F(g(g(y0)), g(g(g(g(g(g(y1)))))), g(g(g(g(g(y2))))))) F(g(g(0)), g(g(g(g(g(g(1)))))), g(g(g(g(g(y0)))))) -> c3(F(g(g(0)), g(g(g(g(g(g(1)))))), g(g(g(g(y0)))))) F(g(g(g(y0))), g(g(g(g(g(g(g(y1))))))), g(g(g(g(g(y2)))))) -> c3(F(g(g(g(y0))), g(g(g(g(g(g(g(y1))))))), g(g(g(g(y2)))))) F(g(g(g(0))), g(g(g(g(g(g(1)))))), g(g(g(g(g(y0)))))) -> c3(F(g(g(g(0))), g(g(g(g(g(g(1)))))), g(g(g(g(y0)))))) F(g(g(g(y0))), g(g(g(g(g(g(y1)))))), g(g(g(g(g(g(y2))))))) -> c3(F(g(g(g(y0))), g(g(g(g(g(g(y1)))))), g(g(g(g(g(y2))))))) F(g(g(g(g(g(y0))))), g(g(g(g(g(g(y1)))))), g(g(g(g(g(y2)))))) -> c3(F(g(g(g(g(g(y0))))), g(g(g(g(g(g(y1)))))), g(g(g(g(y2)))))) F(g(g(g(g(y0)))), g(g(g(g(g(g(g(y1))))))), g(g(g(g(g(y2)))))) -> c3(F(g(g(g(g(y0)))), 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c3(F(g(g(y0)), g(g(g(y1))), g(g(g(g(g(g(g(y2))))))))) F(g(g(g(0))), g(g(g(1))), g(g(g(g(g(g(g(y0)))))))) -> c3(F(g(g(g(0))), g(g(g(1))), g(g(g(g(g(g(y0)))))))) F(g(g(g(y0))), g(g(g(y1))), g(g(g(g(g(g(g(g(y2))))))))) -> c3(F(g(g(g(y0))), g(g(g(y1))), g(g(g(g(g(g(g(y2))))))))) F(g(g(g(g(g(y0))))), g(g(g(y1))), g(g(g(g(g(g(g(y2)))))))) -> c3(F(g(g(g(g(g(y0))))), g(g(g(y1))), g(g(g(g(g(g(y2)))))))) F(g(g(g(g(0)))), g(g(g(1))), g(g(g(g(g(g(g(y0)))))))) -> c3(F(g(g(g(g(0)))), g(g(g(1))), g(g(g(g(g(g(y0)))))))) F(g(g(g(g(y0)))), g(g(g(y1))), g(g(g(g(g(g(g(g(y2))))))))) -> c3(F(g(g(g(g(y0)))), g(g(g(y1))), g(g(g(g(g(g(g(y2))))))))) F(g(g(0)), g(g(1)), g(g(g(g(g(g(g(g(g(y0)))))))))) -> c3(F(g(g(0)), g(g(1)), g(g(g(g(g(g(g(g(y0)))))))))) F(g(g(y0)), g(g(g(g(y1)))), g(g(g(g(g(g(g(g(y2))))))))) -> c3(F(g(g(y0)), g(g(g(g(y1)))), g(g(g(g(g(g(g(y2))))))))) F(g(g(g(0))), g(g(g(g(1)))), g(g(g(g(g(g(g(y0)))))))) -> c3(F(g(g(g(0))), g(g(g(g(1)))), g(g(g(g(g(g(y0)))))))) F(g(g(g(y0))), g(g(g(g(y1)))), 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c3(F(g(g(g(y0))), g(g(g(g(g(y1))))), g(g(g(g(g(g(g(y2))))))))) F(g(g(g(g(g(y0))))), g(g(g(g(g(y1))))), g(g(g(g(g(g(g(y2)))))))) -> c3(F(g(g(g(g(g(y0))))), g(g(g(g(g(y1))))), g(g(g(g(g(g(y2)))))))) F(g(g(g(g(0)))), g(g(g(g(g(1))))), g(g(g(g(g(g(g(y0)))))))) -> c3(F(g(g(g(g(0)))), g(g(g(g(g(1))))), g(g(g(g(g(g(y0)))))))) F(g(g(g(g(y0)))), g(g(g(g(g(y1))))), g(g(g(g(g(g(g(g(y2))))))))) -> c3(F(g(g(g(g(y0)))), g(g(g(g(g(y1))))), g(g(g(g(g(g(g(y2))))))))) F(g(g(0)), g(g(g(g(1)))), g(g(g(g(g(g(g(g(g(y0)))))))))) -> c3(F(g(g(0)), g(g(g(g(1)))), g(g(g(g(g(g(g(g(y0)))))))))) F(g(g(y0)), g(g(g(g(g(g(g(y1))))))), g(g(g(g(g(g(g(y2)))))))) -> c3(F(g(g(y0)), g(g(g(g(g(g(g(y1))))))), g(g(g(g(g(g(y2)))))))) F(g(g(y0)), g(g(g(g(g(g(y1)))))), g(g(g(g(g(g(g(g(y2))))))))) -> c3(F(g(g(y0)), g(g(g(g(g(g(y1)))))), g(g(g(g(g(g(g(y2))))))))) F(g(g(0)), g(g(g(g(g(g(1)))))), g(g(g(g(g(g(g(y0)))))))) -> c3(F(g(g(0)), g(g(g(g(g(g(1)))))), g(g(g(g(g(g(y0)))))))) F(g(g(g(y0))), g(g(g(g(g(g(g(y1))))))), g(g(g(g(g(g(g(y2)))))))) -> c3(F(g(g(g(y0))), g(g(g(g(g(g(g(y1))))))), g(g(g(g(g(g(y2)))))))) F(g(g(g(0))), g(g(g(g(g(g(1)))))), g(g(g(g(g(g(g(y0)))))))) -> c3(F(g(g(g(0))), g(g(g(g(g(g(1)))))), g(g(g(g(g(g(y0)))))))) F(g(g(g(y0))), g(g(g(g(g(g(y1)))))), g(g(g(g(g(g(g(g(y2))))))))) -> c3(F(g(g(g(y0))), g(g(g(g(g(g(y1)))))), g(g(g(g(g(g(g(y2))))))))) F(g(g(g(g(g(y0))))), g(g(g(g(g(g(y1)))))), g(g(g(g(g(g(g(y2)))))))) -> c3(F(g(g(g(g(g(y0))))), g(g(g(g(g(g(y1)))))), g(g(g(g(g(g(y2)))))))) F(g(g(g(g(y0)))), g(g(g(g(g(g(g(y1))))))), g(g(g(g(g(g(g(y2)))))))) -> c3(F(g(g(g(g(y0)))), g(g(g(g(g(g(g(y1))))))), g(g(g(g(g(g(y2)))))))) F(g(g(g(g(0)))), g(g(g(g(g(g(1)))))), g(g(g(g(g(g(g(y0)))))))) -> c3(F(g(g(g(g(0)))), g(g(g(g(g(g(1)))))), g(g(g(g(g(g(y0)))))))) F(g(g(g(g(y0)))), g(g(g(g(g(g(y1)))))), g(g(g(g(g(g(g(g(y2))))))))) -> c3(F(g(g(g(g(y0)))), g(g(g(g(g(g(y1)))))), g(g(g(g(g(g(g(y2))))))))) Defined Rule Symbols:none Defined Pair Symbols: F_3 Compound Symbols: c3_1, c1_1, c_1, c2_1