/export/starexec/sandbox2/solver/bin/starexec_run_rcdcRelativeAlsoLower /export/starexec/sandbox2/benchmark/theBenchmark.xml /export/starexec/sandbox2/output/output_files -------------------------------------------------------------------------------- KILLED proof of /export/starexec/sandbox2/benchmark/theBenchmark.xml # AProVE Commit ID: 794c25de1cacf0d048858bcd21c9a779e1221865 marcel 20200619 unpublished dirty The Derivational Complexity (full) of the given DCpxTrs could be proven to be BOUNDS(1, INF). (0) DCpxTrs (1) DerivationalComplexityToRuntimeComplexityProof [BOTH BOUNDS(ID, ID), 0 ms] (2) CpxRelTRS (3) SInnermostTerminationProof [BOTH CONCRETE BOUNDS(ID, ID), 33 ms] (4) CpxRelTRS (5) RelTrsToDecreasingLoopProblemProof [LOWER BOUND(ID), 0 ms] (6) TRS for Loop Detection (7) RenamingProof [BOTH BOUNDS(ID, ID), 0 ms] (8) CpxRelTRS (9) TypeInferenceProof [BOTH BOUNDS(ID, ID), 0 ms] (10) typed CpxTrs (11) OrderProof [LOWER BOUND(ID), 0 ms] (12) typed CpxTrs (13) RewriteLemmaProof [LOWER BOUND(ID), 102.1 s] (14) BOUNDS(1, INF) (15) RelTrsToTrsProof [UPPER BOUND(ID), 0 ms] (16) CpxTRS (17) NonCtorToCtorProof [UPPER BOUND(ID), 0 ms] (18) CpxRelTRS (19) RcToIrcProof [BOTH BOUNDS(ID, ID), 799 ms] (20) CpxRelTRS (21) RelTrsToWeightedTrsProof [BOTH BOUNDS(ID, ID), 2 ms] (22) CpxWeightedTrs (23) CpxWeightedTrsRenamingProof [BOTH BOUNDS(ID, ID), 40 ms] (24) CpxWeightedTrs (25) TypeInferenceProof [BOTH BOUNDS(ID, ID), 0 ms] (26) CpxTypedWeightedTrs (27) CompletionProof [UPPER BOUND(ID), 0 ms] (28) CpxTypedWeightedCompleteTrs (29) NarrowingProof [BOTH BOUNDS(ID, ID), 317 ms] (30) CpxTypedWeightedCompleteTrs (31) CpxTypedWeightedTrsToRntsProof [UPPER BOUND(ID), 56 ms] (32) CpxRNTS (33) SimplificationProof [BOTH BOUNDS(ID, ID), 22 ms] (34) CpxRNTS (35) CompletionProof [UPPER BOUND(ID), 0 ms] (36) CpxTypedWeightedCompleteTrs (37) CpxTypedWeightedTrsToRntsProof [UPPER BOUND(ID), 17 ms] (38) CpxRNTS (39) CpxTrsToCdtProof [UPPER BOUND(ID), 711 ms] (40) CdtProblem (41) CdtLeafRemovalProof [BOTH BOUNDS(ID, ID), 0 ms] (42) CdtProblem (43) CdtGraphSplitRhsProof [BOTH BOUNDS(ID, ID), 0 ms] (44) CdtProblem (45) CdtLeafRemovalProof [ComplexityIfPolyImplication, 0 ms] (46) CdtProblem (47) CdtUsableRulesProof [BOTH BOUNDS(ID, ID), 4154 ms] (48) CdtProblem (49) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 1197 ms] (50) CdtProblem (51) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 1169 ms] (52) CdtProblem (53) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 1204 ms] (54) CdtProblem (55) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 4251 ms] (56) CdtProblem (57) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 5390 ms] (58) CdtProblem (59) CdtRhsSimplificationProcessorProof [BOTH BOUNDS(ID, ID), 58 ms] (60) CdtProblem (61) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 6671 ms] (62) CdtProblem (63) CdtRhsSimplificationProcessorProof [BOTH BOUNDS(ID, ID), 92 ms] (64) CdtProblem (65) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 6854 ms] (66) CdtProblem (67) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 8610 ms] (68) CdtProblem (69) CdtRhsSimplificationProcessorProof [BOTH BOUNDS(ID, ID), 130 ms] (70) CdtProblem ---------------------------------------- (0) Obligation: The Derivational Complexity (full) of the given DCpxTrs could be proven to be BOUNDS(1, INF). The TRS R consists of the following rules: 0(0(0(0(1(0(0(2(2(1(0(2(0(2(1(1(2(1(2(2(0(1(1(x1))))))))))))))))))))))) -> 0(1(2(0(0(2(1(2(2(1(1(2(1(1(1(1(2(2(2(1(2(1(0(2(1(1(0(x1))))))))))))))))))))))))))) 0(0(0(2(2(0(2(2(2(1(1(0(2(2(1(2(1(0(2(0(0(0(1(x1))))))))))))))))))))))) -> 2(0(1(1(1(2(2(1(1(2(2(2(2(1(0(1(2(1(1(2(2(2(1(2(1(2(2(x1))))))))))))))))))))))))))) 0(0(1(0(2(2(1(2(0(0(1(2(0(2(2(2(1(1(2(0(0(2(1(x1))))))))))))))))))))))) -> 0(1(1(1(0(2(1(2(1(2(0(1(1(2(1(1(2(2(2(2(2(0(2(2(2(1(2(x1))))))))))))))))))))))))))) 0(0(1(2(0(1(0(0(2(0(1(1(0(1(2(1(1(2(2(1(1(0(2(x1))))))))))))))))))))))) -> 0(2(2(2(0(1(1(2(1(2(2(1(2(1(0(2(2(2(1(2(1(1(0(0(1(0(2(x1))))))))))))))))))))))))))) 0(0(2(0(2(2(1(2(1(1(2(1(1(2(1(0(0(0(0(1(1(2(1(x1))))))))))))))))))))))) -> 0(0(1(2(2(1(1(2(2(1(1(2(2(2(2(0(1(2(1(2(1(1(1(0(1(2(2(x1))))))))))))))))))))))))))) 0(1(0(0(1(2(2(1(0(1(2(1(2(0(1(0(2(2(0(1(2(1(0(x1))))))))))))))))))))))) -> 0(0(0(1(2(2(2(2(2(2(2(0(0(0(0(1(2(1(2(2(2(1(0(2(0(2(0(x1))))))))))))))))))))))))))) 0(1(1(0(1(1(1(2(2(0(2(0(1(2(2(2(0(1(2(0(1(0(2(x1))))))))))))))))))))))) -> 0(2(0(1(0(2(0(2(2(2(1(2(1(1(2(2(2(2(2(2(2(1(0(0(0(2(2(x1))))))))))))))))))))))))))) 0(1(1(1(1(2(1(1(2(2(0(1(0(1(1(0(2(0(0(2(0(1(0(x1))))))))))))))))))))))) -> 2(2(2(2(2(1(0(1(2(2(0(1(1(1(2(2(1(1(0(0(0(0(2(2(1(2(2(x1))))))))))))))))))))))))))) 0(1(1(1(2(2(1(0(0(2(2(2(2(0(2(0(0(0(0(1(0(0(2(x1))))))))))))))))))))))) -> 0(2(1(1(1(1(2(2(1(1(0(1(1(2(1(2(1(0(0(1(2(2(1(0(0(2(2(x1))))))))))))))))))))))))))) 0(1(2(1(1(2(2(2(1(1(0(0(1(0(2(0(2(2(1(0(2(1(1(x1))))))))))))))))))))))) -> 2(1(2(1(2(1(2(2(0(2(0(1(2(1(2(1(2(0(1(2(0(0(2(2(1(1(2(x1))))))))))))))))))))))))))) 1(0(0(1(0(1(1(0(2(1(1(2(1(2(1(2(0(1(2(2(1(2(1(x1))))))))))))))))))))))) -> 1(2(0(0(1(1(2(2(1(2(0(2(2(0(1(1(2(2(2(1(2(2(2(2(2(1(2(x1))))))))))))))))))))))))))) 1(0(1(0(2(2(2(2(1(0(0(2(0(2(1(2(1(2(1(1(2(0(2(x1))))))))))))))))))))))) -> 2(1(2(0(2(0(2(0(2(2(2(2(1(2(1(2(2(2(1(1(2(1(0(1(1(2(2(x1))))))))))))))))))))))))))) 1(1(0(0(1(1(1(2(2(2(1(2(1(0(0(0(2(2(2(0(1(2(0(x1))))))))))))))))))))))) -> 2(1(2(1(2(2(2(1(2(2(0(2(2(1(0(2(1(2(2(0(1(0(1(1(2(2(2(x1))))))))))))))))))))))))))) 1(1(0(1(2(2(2(2(1(0(2(1(2(0(0(0(1(0(2(1(1(1(2(x1))))))))))))))))))))))) -> 2(1(2(1(2(2(2(2(2(0(0(0(0(2(1(2(2(2(2(1(2(2(2(0(0(2(2(x1))))))))))))))))))))))))))) 1(1(0(2(1(0(2(0(1(2(0(2(0(0(2(1(0(1(0(1(2(1(2(x1))))))))))))))))))))))) -> 2(0(2(2(1(1(1(2(2(0(1(2(0(2(1(1(2(1(0(0(2(0(1(2(2(2(2(x1))))))))))))))))))))))))))) 1(1(0(2(1(2(2(2(2(1(0(1(2(0(1(2(1(1(0(2(1(2(0(x1))))))))))))))))))))))) -> 2(2(1(2(1(2(2(1(0(1(2(2(2(1(0(2(1(1(2(1(0(1(1(1(2(2(2(x1))))))))))))))))))))))))))) 1(1(1(0(2(2(1(1(1(2(2(0(2(0(2(1(1(2(1(2(1(2(2(x1))))))))))))))))))))))) -> 1(2(1(2(1(1(1(1(2(1(1(1(2(2(0(1(0(2(2(1(2(2(2(1(0(1(2(x1))))))))))))))))))))))))))) 1(1(2(2(1(0(2(0(1(1(2(2(2(1(0(1(0(0(2(1(1(0(2(x1))))))))))))))))))))))) -> 2(2(2(1(1(2(2(2(1(2(2(0(0(2(0(0(1(2(0(2(2(1(2(2(2(0(2(x1))))))))))))))))))))))))))) 1(2(0(0(2(0(1(2(2(0(2(1(2(1(2(0(1(0(1(2(0(2(1(x1))))))))))))))))))))))) -> 1(2(2(0(2(1(2(2(0(1(0(2(1(0(1(2(1(2(2(2(2(0(2(2(0(2(0(x1))))))))))))))))))))))))))) 1(2(0(2(1(2(2(1(2(2(2(0(1(1(1(1(0(1(0(0(2(0(1(x1))))))))))))))))))))))) -> 1(2(1(2(1(2(2(2(2(2(2(0(0(2(0(0(2(2(0(1(1(1(1(0(0(2(1(x1))))))))))))))))))))))))))) 1(2(2(2(1(1(0(0(2(2(2(0(0(0(2(1(2(2(0(2(0(2(0(x1))))))))))))))))))))))) -> 1(2(1(2(0(0(1(1(1(2(2(2(2(1(2(2(2(0(2(0(1(2(2(2(2(0(0(x1))))))))))))))))))))))))))) 2(0(1(0(0(0(1(0(0(0(0(0(0(0(1(0(2(0(0(2(2(2(2(x1))))))))))))))))))))))) -> 2(2(2(1(1(2(1(2(0(1(1(2(1(0(2(1(0(0(1(0(1(1(2(1(2(2(2(x1))))))))))))))))))))))))))) 2(0(2(0(1(0(1(1(2(0(1(1(2(2(1(0(2(0(2(0(2(2(2(x1))))))))))))))))))))))) -> 2(0(0(1(1(2(0(2(2(1(1(2(2(0(1(2(2(2(0(0(2(0(2(2(2(0(2(x1))))))))))))))))))))))))))) 2(0(2(0(1(2(2(0(0(2(2(2(1(1(1(2(1(0(2(0(2(2(0(x1))))))))))))))))))))))) -> 2(1(1(1(2(2(0(0(0(2(1(0(0(0(1(1(0(2(2(0(2(2(2(2(2(2(0(x1))))))))))))))))))))))))))) 2(1(0(1(0(0(2(2(2(0(1(0(0(2(0(0(1(2(0(2(2(2(0(x1))))))))))))))))))))))) -> 2(1(1(2(0(1(2(0(0(2(0(1(2(2(1(1(1(2(2(2(0(0(1(1(0(2(0(x1))))))))))))))))))))))))))) 2(1(0(1(1(2(0(0(2(1(0(0(0(1(2(1(1(2(0(2(1(2(1(x1))))))))))))))))))))))) -> 2(0(2(2(0(0(2(2(1(1(1(2(0(1(0(1(2(2(2(2(2(0(0(0(2(2(1(x1))))))))))))))))))))))))))) 2(1(1(0(2(2(2(0(1(2(1(1(0(1(2(0(0(1(1(1(1(2(2(x1))))))))))))))))))))))) -> 2(0(0(2(1(0(0(0(0(0(1(2(1(1(2(1(1(2(1(2(2(0(1(1(1(2(2(x1))))))))))))))))))))))))))) 2(1(2(1(0(2(1(2(0(0(0(0(2(0(0(0(2(2(0(0(0(0(1(x1))))))))))))))))))))))) -> 2(1(2(1(2(0(0(2(1(0(0(2(2(0(1(0(2(1(2(1(2(2(1(2(1(1(2(x1))))))))))))))))))))))))))) 2(2(0(0(1(0(1(2(2(2(1(1(0(0(1(2(2(1(2(0(1(2(1(x1))))))))))))))))))))))) -> 2(2(2(2(0(2(0(2(2(1(2(1(0(1(1(2(2(0(0(2(1(2(1(2(1(2(0(x1))))))))))))))))))))))))))) 2(2(0(0(1(2(1(1(2(1(0(0(0(0(0(2(1(2(1(1(2(0(2(x1))))))))))))))))))))))) -> 2(1(1(2(2(2(2(1(2(1(0(0(2(1(0(2(2(0(1(1(0(2(0(0(0(0(2(x1))))))))))))))))))))))))))) 2(2(0(0(2(1(2(0(1(2(0(2(1(0(1(1(2(2(1(0(1(0(2(x1))))))))))))))))))))))) -> 2(2(2(2(1(2(1(2(0(2(2(2(2(2(0(1(2(0(2(1(0(0(0(2(0(2(2(x1))))))))))))))))))))))))))) 2(2(0(1(1(0(0(1(2(1(0(2(1(2(2(2(1(0(0(2(2(2(0(x1))))))))))))))))))))))) -> 2(2(1(0(0(0(0(2(2(1(1(2(2(1(0(2(1(2(1(2(2(1(2(2(2(0(0(x1))))))))))))))))))))))))))) 2(2(0(1(2(2(2(0(2(2(2(0(2(2(2(2(1(0(1(0(0(1(0(x1))))))))))))))))))))))) -> 2(2(0(1(1(2(2(2(1(1(2(1(0(0(1(2(2(1(2(1(0(2(2(0(0(2(0(x1))))))))))))))))))))))))))) 2(2(1(1(1(0(0(2(1(0(2(1(2(0(0(2(1(0(1(1(2(2(1(x1))))))))))))))))))))))) -> 2(1(2(2(0(1(2(1(1(0(1(2(1(0(0(1(2(2(1(2(1(0(2(1(2(2(1(x1))))))))))))))))))))))))))) 2(2(1(1(1(2(0(1(1(2(2(0(1(1(1(1(1(2(2(2(0(2(1(x1))))))))))))))))))))))) -> 1(2(1(2(2(1(1(1(1(2(2(2(1(2(0(0(0(1(2(0(0(1(2(2(2(2(2(x1))))))))))))))))))))))))))) 2(2(1(1(2(0(0(2(2(2(2(1(1(1(1(1(2(1(2(0(0(1(1(x1))))))))))))))))))))))) -> 2(2(1(1(2(2(1(2(1(2(2(0(0(0(2(1(0(2(2(1(2(2(0(1(1(2(2(x1))))))))))))))))))))))))))) 2(2(1(1(2(2(1(2(1(1(1(0(0(2(1(1(0(2(0(0(1(1(2(x1))))))))))))))))))))))) -> 2(1(1(1(2(2(2(1(1(0(2(2(1(0(1(0(2(2(1(2(0(0(0(1(2(1(2(x1))))))))))))))))))))))))))) 2(2(1(2(1(2(2(2(0(1(2(1(2(2(2(2(1(1(0(1(0(1(0(x1))))))))))))))))))))))) -> 1(2(1(2(1(2(0(1(2(2(0(1(1(1(2(2(1(1(1(2(2(0(1(0(1(2(2(x1))))))))))))))))))))))))))) 2(2(1(2(2(0(0(2(1(1(0(2(2(0(2(2(0(2(2(1(2(0(2(x1))))))))))))))))))))))) -> 1(2(1(1(1(2(2(2(1(2(1(0(2(1(1(1(1(2(2(0(0(1(1(0(2(1(2(x1))))))))))))))))))))))))))) 2(2(2(0(0(1(0(0(2(0(0(2(1(1(2(1(0(1(2(2(2(1(0(x1))))))))))))))))))))))) -> 1(2(2(2(2(0(1(2(1(2(0(1(2(1(2(1(0(1(0(1(0(1(1(2(2(1(0(x1))))))))))))))))))))))))))) S is empty. Rewrite Strategy: FULL ---------------------------------------- (1) DerivationalComplexityToRuntimeComplexityProof (BOTH BOUNDS(ID, ID)) The following rules have been added to S to convert the given derivational complexity problem to a runtime complexity problem: encArg(cons_0(x_1)) -> 0(encArg(x_1)) encArg(cons_1(x_1)) -> 1(encArg(x_1)) encArg(cons_2(x_1)) -> 2(encArg(x_1)) encode_0(x_1) -> 0(encArg(x_1)) encode_1(x_1) -> 1(encArg(x_1)) encode_2(x_1) -> 2(encArg(x_1)) ---------------------------------------- (2) Obligation: The Runtime Complexity (full) of the given CpxRelTRS could be proven to be BOUNDS(1, INF). The TRS R consists of the following rules: 0(0(0(0(1(0(0(2(2(1(0(2(0(2(1(1(2(1(2(2(0(1(1(x1))))))))))))))))))))))) -> 0(1(2(0(0(2(1(2(2(1(1(2(1(1(1(1(2(2(2(1(2(1(0(2(1(1(0(x1))))))))))))))))))))))))))) 0(0(0(2(2(0(2(2(2(1(1(0(2(2(1(2(1(0(2(0(0(0(1(x1))))))))))))))))))))))) -> 2(0(1(1(1(2(2(1(1(2(2(2(2(1(0(1(2(1(1(2(2(2(1(2(1(2(2(x1))))))))))))))))))))))))))) 0(0(1(0(2(2(1(2(0(0(1(2(0(2(2(2(1(1(2(0(0(2(1(x1))))))))))))))))))))))) -> 0(1(1(1(0(2(1(2(1(2(0(1(1(2(1(1(2(2(2(2(2(0(2(2(2(1(2(x1))))))))))))))))))))))))))) 0(0(1(2(0(1(0(0(2(0(1(1(0(1(2(1(1(2(2(1(1(0(2(x1))))))))))))))))))))))) -> 0(2(2(2(0(1(1(2(1(2(2(1(2(1(0(2(2(2(1(2(1(1(0(0(1(0(2(x1))))))))))))))))))))))))))) 0(0(2(0(2(2(1(2(1(1(2(1(1(2(1(0(0(0(0(1(1(2(1(x1))))))))))))))))))))))) -> 0(0(1(2(2(1(1(2(2(1(1(2(2(2(2(0(1(2(1(2(1(1(1(0(1(2(2(x1))))))))))))))))))))))))))) 0(1(0(0(1(2(2(1(0(1(2(1(2(0(1(0(2(2(0(1(2(1(0(x1))))))))))))))))))))))) -> 0(0(0(1(2(2(2(2(2(2(2(0(0(0(0(1(2(1(2(2(2(1(0(2(0(2(0(x1))))))))))))))))))))))))))) 0(1(1(0(1(1(1(2(2(0(2(0(1(2(2(2(0(1(2(0(1(0(2(x1))))))))))))))))))))))) -> 0(2(0(1(0(2(0(2(2(2(1(2(1(1(2(2(2(2(2(2(2(1(0(0(0(2(2(x1))))))))))))))))))))))))))) 0(1(1(1(1(2(1(1(2(2(0(1(0(1(1(0(2(0(0(2(0(1(0(x1))))))))))))))))))))))) -> 2(2(2(2(2(1(0(1(2(2(0(1(1(1(2(2(1(1(0(0(0(0(2(2(1(2(2(x1))))))))))))))))))))))))))) 0(1(1(1(2(2(1(0(0(2(2(2(2(0(2(0(0(0(0(1(0(0(2(x1))))))))))))))))))))))) -> 0(2(1(1(1(1(2(2(1(1(0(1(1(2(1(2(1(0(0(1(2(2(1(0(0(2(2(x1))))))))))))))))))))))))))) 0(1(2(1(1(2(2(2(1(1(0(0(1(0(2(0(2(2(1(0(2(1(1(x1))))))))))))))))))))))) -> 2(1(2(1(2(1(2(2(0(2(0(1(2(1(2(1(2(0(1(2(0(0(2(2(1(1(2(x1))))))))))))))))))))))))))) 1(0(0(1(0(1(1(0(2(1(1(2(1(2(1(2(0(1(2(2(1(2(1(x1))))))))))))))))))))))) -> 1(2(0(0(1(1(2(2(1(2(0(2(2(0(1(1(2(2(2(1(2(2(2(2(2(1(2(x1))))))))))))))))))))))))))) 1(0(1(0(2(2(2(2(1(0(0(2(0(2(1(2(1(2(1(1(2(0(2(x1))))))))))))))))))))))) -> 2(1(2(0(2(0(2(0(2(2(2(2(1(2(1(2(2(2(1(1(2(1(0(1(1(2(2(x1))))))))))))))))))))))))))) 1(1(0(0(1(1(1(2(2(2(1(2(1(0(0(0(2(2(2(0(1(2(0(x1))))))))))))))))))))))) -> 2(1(2(1(2(2(2(1(2(2(0(2(2(1(0(2(1(2(2(0(1(0(1(1(2(2(2(x1))))))))))))))))))))))))))) 1(1(0(1(2(2(2(2(1(0(2(1(2(0(0(0(1(0(2(1(1(1(2(x1))))))))))))))))))))))) -> 2(1(2(1(2(2(2(2(2(0(0(0(0(2(1(2(2(2(2(1(2(2(2(0(0(2(2(x1))))))))))))))))))))))))))) 1(1(0(2(1(0(2(0(1(2(0(2(0(0(2(1(0(1(0(1(2(1(2(x1))))))))))))))))))))))) -> 2(0(2(2(1(1(1(2(2(0(1(2(0(2(1(1(2(1(0(0(2(0(1(2(2(2(2(x1))))))))))))))))))))))))))) 1(1(0(2(1(2(2(2(2(1(0(1(2(0(1(2(1(1(0(2(1(2(0(x1))))))))))))))))))))))) -> 2(2(1(2(1(2(2(1(0(1(2(2(2(1(0(2(1(1(2(1(0(1(1(1(2(2(2(x1))))))))))))))))))))))))))) 1(1(1(0(2(2(1(1(1(2(2(0(2(0(2(1(1(2(1(2(1(2(2(x1))))))))))))))))))))))) -> 1(2(1(2(1(1(1(1(2(1(1(1(2(2(0(1(0(2(2(1(2(2(2(1(0(1(2(x1))))))))))))))))))))))))))) 1(1(2(2(1(0(2(0(1(1(2(2(2(1(0(1(0(0(2(1(1(0(2(x1))))))))))))))))))))))) -> 2(2(2(1(1(2(2(2(1(2(2(0(0(2(0(0(1(2(0(2(2(1(2(2(2(0(2(x1))))))))))))))))))))))))))) 1(2(0(0(2(0(1(2(2(0(2(1(2(1(2(0(1(0(1(2(0(2(1(x1))))))))))))))))))))))) -> 1(2(2(0(2(1(2(2(0(1(0(2(1(0(1(2(1(2(2(2(2(0(2(2(0(2(0(x1))))))))))))))))))))))))))) 1(2(0(2(1(2(2(1(2(2(2(0(1(1(1(1(0(1(0(0(2(0(1(x1))))))))))))))))))))))) -> 1(2(1(2(1(2(2(2(2(2(2(0(0(2(0(0(2(2(0(1(1(1(1(0(0(2(1(x1))))))))))))))))))))))))))) 1(2(2(2(1(1(0(0(2(2(2(0(0(0(2(1(2(2(0(2(0(2(0(x1))))))))))))))))))))))) -> 1(2(1(2(0(0(1(1(1(2(2(2(2(1(2(2(2(0(2(0(1(2(2(2(2(0(0(x1))))))))))))))))))))))))))) 2(0(1(0(0(0(1(0(0(0(0(0(0(0(1(0(2(0(0(2(2(2(2(x1))))))))))))))))))))))) -> 2(2(2(1(1(2(1(2(0(1(1(2(1(0(2(1(0(0(1(0(1(1(2(1(2(2(2(x1))))))))))))))))))))))))))) 2(0(2(0(1(0(1(1(2(0(1(1(2(2(1(0(2(0(2(0(2(2(2(x1))))))))))))))))))))))) -> 2(0(0(1(1(2(0(2(2(1(1(2(2(0(1(2(2(2(0(0(2(0(2(2(2(0(2(x1))))))))))))))))))))))))))) 2(0(2(0(1(2(2(0(0(2(2(2(1(1(1(2(1(0(2(0(2(2(0(x1))))))))))))))))))))))) -> 2(1(1(1(2(2(0(0(0(2(1(0(0(0(1(1(0(2(2(0(2(2(2(2(2(2(0(x1))))))))))))))))))))))))))) 2(1(0(1(0(0(2(2(2(0(1(0(0(2(0(0(1(2(0(2(2(2(0(x1))))))))))))))))))))))) -> 2(1(1(2(0(1(2(0(0(2(0(1(2(2(1(1(1(2(2(2(0(0(1(1(0(2(0(x1))))))))))))))))))))))))))) 2(1(0(1(1(2(0(0(2(1(0(0(0(1(2(1(1(2(0(2(1(2(1(x1))))))))))))))))))))))) -> 2(0(2(2(0(0(2(2(1(1(1(2(0(1(0(1(2(2(2(2(2(0(0(0(2(2(1(x1))))))))))))))))))))))))))) 2(1(1(0(2(2(2(0(1(2(1(1(0(1(2(0(0(1(1(1(1(2(2(x1))))))))))))))))))))))) -> 2(0(0(2(1(0(0(0(0(0(1(2(1(1(2(1(1(2(1(2(2(0(1(1(1(2(2(x1))))))))))))))))))))))))))) 2(1(2(1(0(2(1(2(0(0(0(0(2(0(0(0(2(2(0(0(0(0(1(x1))))))))))))))))))))))) -> 2(1(2(1(2(0(0(2(1(0(0(2(2(0(1(0(2(1(2(1(2(2(1(2(1(1(2(x1))))))))))))))))))))))))))) 2(2(0(0(1(0(1(2(2(2(1(1(0(0(1(2(2(1(2(0(1(2(1(x1))))))))))))))))))))))) -> 2(2(2(2(0(2(0(2(2(1(2(1(0(1(1(2(2(0(0(2(1(2(1(2(1(2(0(x1))))))))))))))))))))))))))) 2(2(0(0(1(2(1(1(2(1(0(0(0(0(0(2(1(2(1(1(2(0(2(x1))))))))))))))))))))))) -> 2(1(1(2(2(2(2(1(2(1(0(0(2(1(0(2(2(0(1(1(0(2(0(0(0(0(2(x1))))))))))))))))))))))))))) 2(2(0(0(2(1(2(0(1(2(0(2(1(0(1(1(2(2(1(0(1(0(2(x1))))))))))))))))))))))) -> 2(2(2(2(1(2(1(2(0(2(2(2(2(2(0(1(2(0(2(1(0(0(0(2(0(2(2(x1))))))))))))))))))))))))))) 2(2(0(1(1(0(0(1(2(1(0(2(1(2(2(2(1(0(0(2(2(2(0(x1))))))))))))))))))))))) -> 2(2(1(0(0(0(0(2(2(1(1(2(2(1(0(2(1(2(1(2(2(1(2(2(2(0(0(x1))))))))))))))))))))))))))) 2(2(0(1(2(2(2(0(2(2(2(0(2(2(2(2(1(0(1(0(0(1(0(x1))))))))))))))))))))))) -> 2(2(0(1(1(2(2(2(1(1(2(1(0(0(1(2(2(1(2(1(0(2(2(0(0(2(0(x1))))))))))))))))))))))))))) 2(2(1(1(1(0(0(2(1(0(2(1(2(0(0(2(1(0(1(1(2(2(1(x1))))))))))))))))))))))) -> 2(1(2(2(0(1(2(1(1(0(1(2(1(0(0(1(2(2(1(2(1(0(2(1(2(2(1(x1))))))))))))))))))))))))))) 2(2(1(1(1(2(0(1(1(2(2(0(1(1(1(1(1(2(2(2(0(2(1(x1))))))))))))))))))))))) -> 1(2(1(2(2(1(1(1(1(2(2(2(1(2(0(0(0(1(2(0(0(1(2(2(2(2(2(x1))))))))))))))))))))))))))) 2(2(1(1(2(0(0(2(2(2(2(1(1(1(1(1(2(1(2(0(0(1(1(x1))))))))))))))))))))))) -> 2(2(1(1(2(2(1(2(1(2(2(0(0(0(2(1(0(2(2(1(2(2(0(1(1(2(2(x1))))))))))))))))))))))))))) 2(2(1(1(2(2(1(2(1(1(1(0(0(2(1(1(0(2(0(0(1(1(2(x1))))))))))))))))))))))) -> 2(1(1(1(2(2(2(1(1(0(2(2(1(0(1(0(2(2(1(2(0(0(0(1(2(1(2(x1))))))))))))))))))))))))))) 2(2(1(2(1(2(2(2(0(1(2(1(2(2(2(2(1(1(0(1(0(1(0(x1))))))))))))))))))))))) -> 1(2(1(2(1(2(0(1(2(2(0(1(1(1(2(2(1(1(1(2(2(0(1(0(1(2(2(x1))))))))))))))))))))))))))) 2(2(1(2(2(0(0(2(1(1(0(2(2(0(2(2(0(2(2(1(2(0(2(x1))))))))))))))))))))))) -> 1(2(1(1(1(2(2(2(1(2(1(0(2(1(1(1(1(2(2(0(0(1(1(0(2(1(2(x1))))))))))))))))))))))))))) 2(2(2(0(0(1(0(0(2(0(0(2(1(1(2(1(0(1(2(2(2(1(0(x1))))))))))))))))))))))) -> 1(2(2(2(2(0(1(2(1(2(0(1(2(1(2(1(0(1(0(1(0(1(1(2(2(1(0(x1))))))))))))))))))))))))))) The (relative) TRS S consists of the following rules: encArg(cons_0(x_1)) -> 0(encArg(x_1)) encArg(cons_1(x_1)) -> 1(encArg(x_1)) encArg(cons_2(x_1)) -> 2(encArg(x_1)) encode_0(x_1) -> 0(encArg(x_1)) encode_1(x_1) -> 1(encArg(x_1)) encode_2(x_1) -> 2(encArg(x_1)) Rewrite Strategy: FULL ---------------------------------------- (3) SInnermostTerminationProof (BOTH CONCRETE BOUNDS(ID, ID)) proved innermost termination of relative rules ---------------------------------------- (4) Obligation: The Runtime Complexity (full) of the given CpxRelTRS could be proven to be BOUNDS(1, INF). The TRS R consists of the following rules: 0(0(0(0(1(0(0(2(2(1(0(2(0(2(1(1(2(1(2(2(0(1(1(x1))))))))))))))))))))))) -> 0(1(2(0(0(2(1(2(2(1(1(2(1(1(1(1(2(2(2(1(2(1(0(2(1(1(0(x1))))))))))))))))))))))))))) 0(0(0(2(2(0(2(2(2(1(1(0(2(2(1(2(1(0(2(0(0(0(1(x1))))))))))))))))))))))) -> 2(0(1(1(1(2(2(1(1(2(2(2(2(1(0(1(2(1(1(2(2(2(1(2(1(2(2(x1))))))))))))))))))))))))))) 0(0(1(0(2(2(1(2(0(0(1(2(0(2(2(2(1(1(2(0(0(2(1(x1))))))))))))))))))))))) -> 0(1(1(1(0(2(1(2(1(2(0(1(1(2(1(1(2(2(2(2(2(0(2(2(2(1(2(x1))))))))))))))))))))))))))) 0(0(1(2(0(1(0(0(2(0(1(1(0(1(2(1(1(2(2(1(1(0(2(x1))))))))))))))))))))))) -> 0(2(2(2(0(1(1(2(1(2(2(1(2(1(0(2(2(2(1(2(1(1(0(0(1(0(2(x1))))))))))))))))))))))))))) 0(0(2(0(2(2(1(2(1(1(2(1(1(2(1(0(0(0(0(1(1(2(1(x1))))))))))))))))))))))) -> 0(0(1(2(2(1(1(2(2(1(1(2(2(2(2(0(1(2(1(2(1(1(1(0(1(2(2(x1))))))))))))))))))))))))))) 0(1(0(0(1(2(2(1(0(1(2(1(2(0(1(0(2(2(0(1(2(1(0(x1))))))))))))))))))))))) -> 0(0(0(1(2(2(2(2(2(2(2(0(0(0(0(1(2(1(2(2(2(1(0(2(0(2(0(x1))))))))))))))))))))))))))) 0(1(1(0(1(1(1(2(2(0(2(0(1(2(2(2(0(1(2(0(1(0(2(x1))))))))))))))))))))))) -> 0(2(0(1(0(2(0(2(2(2(1(2(1(1(2(2(2(2(2(2(2(1(0(0(0(2(2(x1))))))))))))))))))))))))))) 0(1(1(1(1(2(1(1(2(2(0(1(0(1(1(0(2(0(0(2(0(1(0(x1))))))))))))))))))))))) -> 2(2(2(2(2(1(0(1(2(2(0(1(1(1(2(2(1(1(0(0(0(0(2(2(1(2(2(x1))))))))))))))))))))))))))) 0(1(1(1(2(2(1(0(0(2(2(2(2(0(2(0(0(0(0(1(0(0(2(x1))))))))))))))))))))))) -> 0(2(1(1(1(1(2(2(1(1(0(1(1(2(1(2(1(0(0(1(2(2(1(0(0(2(2(x1))))))))))))))))))))))))))) 0(1(2(1(1(2(2(2(1(1(0(0(1(0(2(0(2(2(1(0(2(1(1(x1))))))))))))))))))))))) -> 2(1(2(1(2(1(2(2(0(2(0(1(2(1(2(1(2(0(1(2(0(0(2(2(1(1(2(x1))))))))))))))))))))))))))) 1(0(0(1(0(1(1(0(2(1(1(2(1(2(1(2(0(1(2(2(1(2(1(x1))))))))))))))))))))))) -> 1(2(0(0(1(1(2(2(1(2(0(2(2(0(1(1(2(2(2(1(2(2(2(2(2(1(2(x1))))))))))))))))))))))))))) 1(0(1(0(2(2(2(2(1(0(0(2(0(2(1(2(1(2(1(1(2(0(2(x1))))))))))))))))))))))) -> 2(1(2(0(2(0(2(0(2(2(2(2(1(2(1(2(2(2(1(1(2(1(0(1(1(2(2(x1))))))))))))))))))))))))))) 1(1(0(0(1(1(1(2(2(2(1(2(1(0(0(0(2(2(2(0(1(2(0(x1))))))))))))))))))))))) -> 2(1(2(1(2(2(2(1(2(2(0(2(2(1(0(2(1(2(2(0(1(0(1(1(2(2(2(x1))))))))))))))))))))))))))) 1(1(0(1(2(2(2(2(1(0(2(1(2(0(0(0(1(0(2(1(1(1(2(x1))))))))))))))))))))))) -> 2(1(2(1(2(2(2(2(2(0(0(0(0(2(1(2(2(2(2(1(2(2(2(0(0(2(2(x1))))))))))))))))))))))))))) 1(1(0(2(1(0(2(0(1(2(0(2(0(0(2(1(0(1(0(1(2(1(2(x1))))))))))))))))))))))) -> 2(0(2(2(1(1(1(2(2(0(1(2(0(2(1(1(2(1(0(0(2(0(1(2(2(2(2(x1))))))))))))))))))))))))))) 1(1(0(2(1(2(2(2(2(1(0(1(2(0(1(2(1(1(0(2(1(2(0(x1))))))))))))))))))))))) -> 2(2(1(2(1(2(2(1(0(1(2(2(2(1(0(2(1(1(2(1(0(1(1(1(2(2(2(x1))))))))))))))))))))))))))) 1(1(1(0(2(2(1(1(1(2(2(0(2(0(2(1(1(2(1(2(1(2(2(x1))))))))))))))))))))))) -> 1(2(1(2(1(1(1(1(2(1(1(1(2(2(0(1(0(2(2(1(2(2(2(1(0(1(2(x1))))))))))))))))))))))))))) 1(1(2(2(1(0(2(0(1(1(2(2(2(1(0(1(0(0(2(1(1(0(2(x1))))))))))))))))))))))) -> 2(2(2(1(1(2(2(2(1(2(2(0(0(2(0(0(1(2(0(2(2(1(2(2(2(0(2(x1))))))))))))))))))))))))))) 1(2(0(0(2(0(1(2(2(0(2(1(2(1(2(0(1(0(1(2(0(2(1(x1))))))))))))))))))))))) -> 1(2(2(0(2(1(2(2(0(1(0(2(1(0(1(2(1(2(2(2(2(0(2(2(0(2(0(x1))))))))))))))))))))))))))) 1(2(0(2(1(2(2(1(2(2(2(0(1(1(1(1(0(1(0(0(2(0(1(x1))))))))))))))))))))))) -> 1(2(1(2(1(2(2(2(2(2(2(0(0(2(0(0(2(2(0(1(1(1(1(0(0(2(1(x1))))))))))))))))))))))))))) 1(2(2(2(1(1(0(0(2(2(2(0(0(0(2(1(2(2(0(2(0(2(0(x1))))))))))))))))))))))) -> 1(2(1(2(0(0(1(1(1(2(2(2(2(1(2(2(2(0(2(0(1(2(2(2(2(0(0(x1))))))))))))))))))))))))))) 2(0(1(0(0(0(1(0(0(0(0(0(0(0(1(0(2(0(0(2(2(2(2(x1))))))))))))))))))))))) -> 2(2(2(1(1(2(1(2(0(1(1(2(1(0(2(1(0(0(1(0(1(1(2(1(2(2(2(x1))))))))))))))))))))))))))) 2(0(2(0(1(0(1(1(2(0(1(1(2(2(1(0(2(0(2(0(2(2(2(x1))))))))))))))))))))))) -> 2(0(0(1(1(2(0(2(2(1(1(2(2(0(1(2(2(2(0(0(2(0(2(2(2(0(2(x1))))))))))))))))))))))))))) 2(0(2(0(1(2(2(0(0(2(2(2(1(1(1(2(1(0(2(0(2(2(0(x1))))))))))))))))))))))) -> 2(1(1(1(2(2(0(0(0(2(1(0(0(0(1(1(0(2(2(0(2(2(2(2(2(2(0(x1))))))))))))))))))))))))))) 2(1(0(1(0(0(2(2(2(0(1(0(0(2(0(0(1(2(0(2(2(2(0(x1))))))))))))))))))))))) -> 2(1(1(2(0(1(2(0(0(2(0(1(2(2(1(1(1(2(2(2(0(0(1(1(0(2(0(x1))))))))))))))))))))))))))) 2(1(0(1(1(2(0(0(2(1(0(0(0(1(2(1(1(2(0(2(1(2(1(x1))))))))))))))))))))))) -> 2(0(2(2(0(0(2(2(1(1(1(2(0(1(0(1(2(2(2(2(2(0(0(0(2(2(1(x1))))))))))))))))))))))))))) 2(1(1(0(2(2(2(0(1(2(1(1(0(1(2(0(0(1(1(1(1(2(2(x1))))))))))))))))))))))) -> 2(0(0(2(1(0(0(0(0(0(1(2(1(1(2(1(1(2(1(2(2(0(1(1(1(2(2(x1))))))))))))))))))))))))))) 2(1(2(1(0(2(1(2(0(0(0(0(2(0(0(0(2(2(0(0(0(0(1(x1))))))))))))))))))))))) -> 2(1(2(1(2(0(0(2(1(0(0(2(2(0(1(0(2(1(2(1(2(2(1(2(1(1(2(x1))))))))))))))))))))))))))) 2(2(0(0(1(0(1(2(2(2(1(1(0(0(1(2(2(1(2(0(1(2(1(x1))))))))))))))))))))))) -> 2(2(2(2(0(2(0(2(2(1(2(1(0(1(1(2(2(0(0(2(1(2(1(2(1(2(0(x1))))))))))))))))))))))))))) 2(2(0(0(1(2(1(1(2(1(0(0(0(0(0(2(1(2(1(1(2(0(2(x1))))))))))))))))))))))) -> 2(1(1(2(2(2(2(1(2(1(0(0(2(1(0(2(2(0(1(1(0(2(0(0(0(0(2(x1))))))))))))))))))))))))))) 2(2(0(0(2(1(2(0(1(2(0(2(1(0(1(1(2(2(1(0(1(0(2(x1))))))))))))))))))))))) -> 2(2(2(2(1(2(1(2(0(2(2(2(2(2(0(1(2(0(2(1(0(0(0(2(0(2(2(x1))))))))))))))))))))))))))) 2(2(0(1(1(0(0(1(2(1(0(2(1(2(2(2(1(0(0(2(2(2(0(x1))))))))))))))))))))))) -> 2(2(1(0(0(0(0(2(2(1(1(2(2(1(0(2(1(2(1(2(2(1(2(2(2(0(0(x1))))))))))))))))))))))))))) 2(2(0(1(2(2(2(0(2(2(2(0(2(2(2(2(1(0(1(0(0(1(0(x1))))))))))))))))))))))) -> 2(2(0(1(1(2(2(2(1(1(2(1(0(0(1(2(2(1(2(1(0(2(2(0(0(2(0(x1))))))))))))))))))))))))))) 2(2(1(1(1(0(0(2(1(0(2(1(2(0(0(2(1(0(1(1(2(2(1(x1))))))))))))))))))))))) -> 2(1(2(2(0(1(2(1(1(0(1(2(1(0(0(1(2(2(1(2(1(0(2(1(2(2(1(x1))))))))))))))))))))))))))) 2(2(1(1(1(2(0(1(1(2(2(0(1(1(1(1(1(2(2(2(0(2(1(x1))))))))))))))))))))))) -> 1(2(1(2(2(1(1(1(1(2(2(2(1(2(0(0(0(1(2(0(0(1(2(2(2(2(2(x1))))))))))))))))))))))))))) 2(2(1(1(2(0(0(2(2(2(2(1(1(1(1(1(2(1(2(0(0(1(1(x1))))))))))))))))))))))) -> 2(2(1(1(2(2(1(2(1(2(2(0(0(0(2(1(0(2(2(1(2(2(0(1(1(2(2(x1))))))))))))))))))))))))))) 2(2(1(1(2(2(1(2(1(1(1(0(0(2(1(1(0(2(0(0(1(1(2(x1))))))))))))))))))))))) -> 2(1(1(1(2(2(2(1(1(0(2(2(1(0(1(0(2(2(1(2(0(0(0(1(2(1(2(x1))))))))))))))))))))))))))) 2(2(1(2(1(2(2(2(0(1(2(1(2(2(2(2(1(1(0(1(0(1(0(x1))))))))))))))))))))))) -> 1(2(1(2(1(2(0(1(2(2(0(1(1(1(2(2(1(1(1(2(2(0(1(0(1(2(2(x1))))))))))))))))))))))))))) 2(2(1(2(2(0(0(2(1(1(0(2(2(0(2(2(0(2(2(1(2(0(2(x1))))))))))))))))))))))) -> 1(2(1(1(1(2(2(2(1(2(1(0(2(1(1(1(1(2(2(0(0(1(1(0(2(1(2(x1))))))))))))))))))))))))))) 2(2(2(0(0(1(0(0(2(0(0(2(1(1(2(1(0(1(2(2(2(1(0(x1))))))))))))))))))))))) -> 1(2(2(2(2(0(1(2(1(2(0(1(2(1(2(1(0(1(0(1(0(1(1(2(2(1(0(x1))))))))))))))))))))))))))) The (relative) TRS S consists of the following rules: encArg(cons_0(x_1)) -> 0(encArg(x_1)) encArg(cons_1(x_1)) -> 1(encArg(x_1)) encArg(cons_2(x_1)) -> 2(encArg(x_1)) encode_0(x_1) -> 0(encArg(x_1)) encode_1(x_1) -> 1(encArg(x_1)) encode_2(x_1) -> 2(encArg(x_1)) Rewrite Strategy: FULL ---------------------------------------- (5) RelTrsToDecreasingLoopProblemProof (LOWER BOUND(ID)) Transformed a relative TRS into a decreasing-loop problem. ---------------------------------------- (6) Obligation: Analyzing the following TRS for decreasing loops: The Runtime Complexity (full) of the given CpxRelTRS could be proven to be BOUNDS(1, INF). The TRS R consists of the following rules: 0(0(0(0(1(0(0(2(2(1(0(2(0(2(1(1(2(1(2(2(0(1(1(x1))))))))))))))))))))))) -> 0(1(2(0(0(2(1(2(2(1(1(2(1(1(1(1(2(2(2(1(2(1(0(2(1(1(0(x1))))))))))))))))))))))))))) 0(0(0(2(2(0(2(2(2(1(1(0(2(2(1(2(1(0(2(0(0(0(1(x1))))))))))))))))))))))) -> 2(0(1(1(1(2(2(1(1(2(2(2(2(1(0(1(2(1(1(2(2(2(1(2(1(2(2(x1))))))))))))))))))))))))))) 0(0(1(0(2(2(1(2(0(0(1(2(0(2(2(2(1(1(2(0(0(2(1(x1))))))))))))))))))))))) -> 0(1(1(1(0(2(1(2(1(2(0(1(1(2(1(1(2(2(2(2(2(0(2(2(2(1(2(x1))))))))))))))))))))))))))) 0(0(1(2(0(1(0(0(2(0(1(1(0(1(2(1(1(2(2(1(1(0(2(x1))))))))))))))))))))))) -> 0(2(2(2(0(1(1(2(1(2(2(1(2(1(0(2(2(2(1(2(1(1(0(0(1(0(2(x1))))))))))))))))))))))))))) 0(0(2(0(2(2(1(2(1(1(2(1(1(2(1(0(0(0(0(1(1(2(1(x1))))))))))))))))))))))) -> 0(0(1(2(2(1(1(2(2(1(1(2(2(2(2(0(1(2(1(2(1(1(1(0(1(2(2(x1))))))))))))))))))))))))))) 0(1(0(0(1(2(2(1(0(1(2(1(2(0(1(0(2(2(0(1(2(1(0(x1))))))))))))))))))))))) -> 0(0(0(1(2(2(2(2(2(2(2(0(0(0(0(1(2(1(2(2(2(1(0(2(0(2(0(x1))))))))))))))))))))))))))) 0(1(1(0(1(1(1(2(2(0(2(0(1(2(2(2(0(1(2(0(1(0(2(x1))))))))))))))))))))))) -> 0(2(0(1(0(2(0(2(2(2(1(2(1(1(2(2(2(2(2(2(2(1(0(0(0(2(2(x1))))))))))))))))))))))))))) 0(1(1(1(1(2(1(1(2(2(0(1(0(1(1(0(2(0(0(2(0(1(0(x1))))))))))))))))))))))) -> 2(2(2(2(2(1(0(1(2(2(0(1(1(1(2(2(1(1(0(0(0(0(2(2(1(2(2(x1))))))))))))))))))))))))))) 0(1(1(1(2(2(1(0(0(2(2(2(2(0(2(0(0(0(0(1(0(0(2(x1))))))))))))))))))))))) -> 0(2(1(1(1(1(2(2(1(1(0(1(1(2(1(2(1(0(0(1(2(2(1(0(0(2(2(x1))))))))))))))))))))))))))) 0(1(2(1(1(2(2(2(1(1(0(0(1(0(2(0(2(2(1(0(2(1(1(x1))))))))))))))))))))))) -> 2(1(2(1(2(1(2(2(0(2(0(1(2(1(2(1(2(0(1(2(0(0(2(2(1(1(2(x1))))))))))))))))))))))))))) 1(0(0(1(0(1(1(0(2(1(1(2(1(2(1(2(0(1(2(2(1(2(1(x1))))))))))))))))))))))) -> 1(2(0(0(1(1(2(2(1(2(0(2(2(0(1(1(2(2(2(1(2(2(2(2(2(1(2(x1))))))))))))))))))))))))))) 1(0(1(0(2(2(2(2(1(0(0(2(0(2(1(2(1(2(1(1(2(0(2(x1))))))))))))))))))))))) -> 2(1(2(0(2(0(2(0(2(2(2(2(1(2(1(2(2(2(1(1(2(1(0(1(1(2(2(x1))))))))))))))))))))))))))) 1(1(0(0(1(1(1(2(2(2(1(2(1(0(0(0(2(2(2(0(1(2(0(x1))))))))))))))))))))))) -> 2(1(2(1(2(2(2(1(2(2(0(2(2(1(0(2(1(2(2(0(1(0(1(1(2(2(2(x1))))))))))))))))))))))))))) 1(1(0(1(2(2(2(2(1(0(2(1(2(0(0(0(1(0(2(1(1(1(2(x1))))))))))))))))))))))) -> 2(1(2(1(2(2(2(2(2(0(0(0(0(2(1(2(2(2(2(1(2(2(2(0(0(2(2(x1))))))))))))))))))))))))))) 1(1(0(2(1(0(2(0(1(2(0(2(0(0(2(1(0(1(0(1(2(1(2(x1))))))))))))))))))))))) -> 2(0(2(2(1(1(1(2(2(0(1(2(0(2(1(1(2(1(0(0(2(0(1(2(2(2(2(x1))))))))))))))))))))))))))) 1(1(0(2(1(2(2(2(2(1(0(1(2(0(1(2(1(1(0(2(1(2(0(x1))))))))))))))))))))))) -> 2(2(1(2(1(2(2(1(0(1(2(2(2(1(0(2(1(1(2(1(0(1(1(1(2(2(2(x1))))))))))))))))))))))))))) 1(1(1(0(2(2(1(1(1(2(2(0(2(0(2(1(1(2(1(2(1(2(2(x1))))))))))))))))))))))) -> 1(2(1(2(1(1(1(1(2(1(1(1(2(2(0(1(0(2(2(1(2(2(2(1(0(1(2(x1))))))))))))))))))))))))))) 1(1(2(2(1(0(2(0(1(1(2(2(2(1(0(1(0(0(2(1(1(0(2(x1))))))))))))))))))))))) -> 2(2(2(1(1(2(2(2(1(2(2(0(0(2(0(0(1(2(0(2(2(1(2(2(2(0(2(x1))))))))))))))))))))))))))) 1(2(0(0(2(0(1(2(2(0(2(1(2(1(2(0(1(0(1(2(0(2(1(x1))))))))))))))))))))))) -> 1(2(2(0(2(1(2(2(0(1(0(2(1(0(1(2(1(2(2(2(2(0(2(2(0(2(0(x1))))))))))))))))))))))))))) 1(2(0(2(1(2(2(1(2(2(2(0(1(1(1(1(0(1(0(0(2(0(1(x1))))))))))))))))))))))) -> 1(2(1(2(1(2(2(2(2(2(2(0(0(2(0(0(2(2(0(1(1(1(1(0(0(2(1(x1))))))))))))))))))))))))))) 1(2(2(2(1(1(0(0(2(2(2(0(0(0(2(1(2(2(0(2(0(2(0(x1))))))))))))))))))))))) -> 1(2(1(2(0(0(1(1(1(2(2(2(2(1(2(2(2(0(2(0(1(2(2(2(2(0(0(x1))))))))))))))))))))))))))) 2(0(1(0(0(0(1(0(0(0(0(0(0(0(1(0(2(0(0(2(2(2(2(x1))))))))))))))))))))))) -> 2(2(2(1(1(2(1(2(0(1(1(2(1(0(2(1(0(0(1(0(1(1(2(1(2(2(2(x1))))))))))))))))))))))))))) 2(0(2(0(1(0(1(1(2(0(1(1(2(2(1(0(2(0(2(0(2(2(2(x1))))))))))))))))))))))) -> 2(0(0(1(1(2(0(2(2(1(1(2(2(0(1(2(2(2(0(0(2(0(2(2(2(0(2(x1))))))))))))))))))))))))))) 2(0(2(0(1(2(2(0(0(2(2(2(1(1(1(2(1(0(2(0(2(2(0(x1))))))))))))))))))))))) -> 2(1(1(1(2(2(0(0(0(2(1(0(0(0(1(1(0(2(2(0(2(2(2(2(2(2(0(x1))))))))))))))))))))))))))) 2(1(0(1(0(0(2(2(2(0(1(0(0(2(0(0(1(2(0(2(2(2(0(x1))))))))))))))))))))))) -> 2(1(1(2(0(1(2(0(0(2(0(1(2(2(1(1(1(2(2(2(0(0(1(1(0(2(0(x1))))))))))))))))))))))))))) 2(1(0(1(1(2(0(0(2(1(0(0(0(1(2(1(1(2(0(2(1(2(1(x1))))))))))))))))))))))) -> 2(0(2(2(0(0(2(2(1(1(1(2(0(1(0(1(2(2(2(2(2(0(0(0(2(2(1(x1))))))))))))))))))))))))))) 2(1(1(0(2(2(2(0(1(2(1(1(0(1(2(0(0(1(1(1(1(2(2(x1))))))))))))))))))))))) -> 2(0(0(2(1(0(0(0(0(0(1(2(1(1(2(1(1(2(1(2(2(0(1(1(1(2(2(x1))))))))))))))))))))))))))) 2(1(2(1(0(2(1(2(0(0(0(0(2(0(0(0(2(2(0(0(0(0(1(x1))))))))))))))))))))))) -> 2(1(2(1(2(0(0(2(1(0(0(2(2(0(1(0(2(1(2(1(2(2(1(2(1(1(2(x1))))))))))))))))))))))))))) 2(2(0(0(1(0(1(2(2(2(1(1(0(0(1(2(2(1(2(0(1(2(1(x1))))))))))))))))))))))) -> 2(2(2(2(0(2(0(2(2(1(2(1(0(1(1(2(2(0(0(2(1(2(1(2(1(2(0(x1))))))))))))))))))))))))))) 2(2(0(0(1(2(1(1(2(1(0(0(0(0(0(2(1(2(1(1(2(0(2(x1))))))))))))))))))))))) -> 2(1(1(2(2(2(2(1(2(1(0(0(2(1(0(2(2(0(1(1(0(2(0(0(0(0(2(x1))))))))))))))))))))))))))) 2(2(0(0(2(1(2(0(1(2(0(2(1(0(1(1(2(2(1(0(1(0(2(x1))))))))))))))))))))))) -> 2(2(2(2(1(2(1(2(0(2(2(2(2(2(0(1(2(0(2(1(0(0(0(2(0(2(2(x1))))))))))))))))))))))))))) 2(2(0(1(1(0(0(1(2(1(0(2(1(2(2(2(1(0(0(2(2(2(0(x1))))))))))))))))))))))) -> 2(2(1(0(0(0(0(2(2(1(1(2(2(1(0(2(1(2(1(2(2(1(2(2(2(0(0(x1))))))))))))))))))))))))))) 2(2(0(1(2(2(2(0(2(2(2(0(2(2(2(2(1(0(1(0(0(1(0(x1))))))))))))))))))))))) -> 2(2(0(1(1(2(2(2(1(1(2(1(0(0(1(2(2(1(2(1(0(2(2(0(0(2(0(x1))))))))))))))))))))))))))) 2(2(1(1(1(0(0(2(1(0(2(1(2(0(0(2(1(0(1(1(2(2(1(x1))))))))))))))))))))))) -> 2(1(2(2(0(1(2(1(1(0(1(2(1(0(0(1(2(2(1(2(1(0(2(1(2(2(1(x1))))))))))))))))))))))))))) 2(2(1(1(1(2(0(1(1(2(2(0(1(1(1(1(1(2(2(2(0(2(1(x1))))))))))))))))))))))) -> 1(2(1(2(2(1(1(1(1(2(2(2(1(2(0(0(0(1(2(0(0(1(2(2(2(2(2(x1))))))))))))))))))))))))))) 2(2(1(1(2(0(0(2(2(2(2(1(1(1(1(1(2(1(2(0(0(1(1(x1))))))))))))))))))))))) -> 2(2(1(1(2(2(1(2(1(2(2(0(0(0(2(1(0(2(2(1(2(2(0(1(1(2(2(x1))))))))))))))))))))))))))) 2(2(1(1(2(2(1(2(1(1(1(0(0(2(1(1(0(2(0(0(1(1(2(x1))))))))))))))))))))))) -> 2(1(1(1(2(2(2(1(1(0(2(2(1(0(1(0(2(2(1(2(0(0(0(1(2(1(2(x1))))))))))))))))))))))))))) 2(2(1(2(1(2(2(2(0(1(2(1(2(2(2(2(1(1(0(1(0(1(0(x1))))))))))))))))))))))) -> 1(2(1(2(1(2(0(1(2(2(0(1(1(1(2(2(1(1(1(2(2(0(1(0(1(2(2(x1))))))))))))))))))))))))))) 2(2(1(2(2(0(0(2(1(1(0(2(2(0(2(2(0(2(2(1(2(0(2(x1))))))))))))))))))))))) -> 1(2(1(1(1(2(2(2(1(2(1(0(2(1(1(1(1(2(2(0(0(1(1(0(2(1(2(x1))))))))))))))))))))))))))) 2(2(2(0(0(1(0(0(2(0(0(2(1(1(2(1(0(1(2(2(2(1(0(x1))))))))))))))))))))))) -> 1(2(2(2(2(0(1(2(1(2(0(1(2(1(2(1(0(1(0(1(0(1(1(2(2(1(0(x1))))))))))))))))))))))))))) The (relative) TRS S consists of the following rules: encArg(cons_0(x_1)) -> 0(encArg(x_1)) encArg(cons_1(x_1)) -> 1(encArg(x_1)) encArg(cons_2(x_1)) -> 2(encArg(x_1)) encode_0(x_1) -> 0(encArg(x_1)) encode_1(x_1) -> 1(encArg(x_1)) encode_2(x_1) -> 2(encArg(x_1)) Rewrite Strategy: FULL ---------------------------------------- (7) RenamingProof (BOTH BOUNDS(ID, ID)) Renamed function symbols to avoid clashes with predefined symbol. ---------------------------------------- (8) Obligation: The Runtime Complexity (full) of the given CpxRelTRS could be proven to be BOUNDS(1, INF). The TRS R consists of the following rules: 0(0(0(0(1(0(0(2(2(1(0(2(0(2(1(1(2(1(2(2(0(1(1(x1))))))))))))))))))))))) -> 0(1(2(0(0(2(1(2(2(1(1(2(1(1(1(1(2(2(2(1(2(1(0(2(1(1(0(x1))))))))))))))))))))))))))) 0(0(0(2(2(0(2(2(2(1(1(0(2(2(1(2(1(0(2(0(0(0(1(x1))))))))))))))))))))))) -> 2(0(1(1(1(2(2(1(1(2(2(2(2(1(0(1(2(1(1(2(2(2(1(2(1(2(2(x1))))))))))))))))))))))))))) 0(0(1(0(2(2(1(2(0(0(1(2(0(2(2(2(1(1(2(0(0(2(1(x1))))))))))))))))))))))) -> 0(1(1(1(0(2(1(2(1(2(0(1(1(2(1(1(2(2(2(2(2(0(2(2(2(1(2(x1))))))))))))))))))))))))))) 0(0(1(2(0(1(0(0(2(0(1(1(0(1(2(1(1(2(2(1(1(0(2(x1))))))))))))))))))))))) -> 0(2(2(2(0(1(1(2(1(2(2(1(2(1(0(2(2(2(1(2(1(1(0(0(1(0(2(x1))))))))))))))))))))))))))) 0(0(2(0(2(2(1(2(1(1(2(1(1(2(1(0(0(0(0(1(1(2(1(x1))))))))))))))))))))))) -> 0(0(1(2(2(1(1(2(2(1(1(2(2(2(2(0(1(2(1(2(1(1(1(0(1(2(2(x1))))))))))))))))))))))))))) 0(1(0(0(1(2(2(1(0(1(2(1(2(0(1(0(2(2(0(1(2(1(0(x1))))))))))))))))))))))) -> 0(0(0(1(2(2(2(2(2(2(2(0(0(0(0(1(2(1(2(2(2(1(0(2(0(2(0(x1))))))))))))))))))))))))))) 0(1(1(0(1(1(1(2(2(0(2(0(1(2(2(2(0(1(2(0(1(0(2(x1))))))))))))))))))))))) -> 0(2(0(1(0(2(0(2(2(2(1(2(1(1(2(2(2(2(2(2(2(1(0(0(0(2(2(x1))))))))))))))))))))))))))) 0(1(1(1(1(2(1(1(2(2(0(1(0(1(1(0(2(0(0(2(0(1(0(x1))))))))))))))))))))))) -> 2(2(2(2(2(1(0(1(2(2(0(1(1(1(2(2(1(1(0(0(0(0(2(2(1(2(2(x1))))))))))))))))))))))))))) 0(1(1(1(2(2(1(0(0(2(2(2(2(0(2(0(0(0(0(1(0(0(2(x1))))))))))))))))))))))) -> 0(2(1(1(1(1(2(2(1(1(0(1(1(2(1(2(1(0(0(1(2(2(1(0(0(2(2(x1))))))))))))))))))))))))))) 0(1(2(1(1(2(2(2(1(1(0(0(1(0(2(0(2(2(1(0(2(1(1(x1))))))))))))))))))))))) -> 2(1(2(1(2(1(2(2(0(2(0(1(2(1(2(1(2(0(1(2(0(0(2(2(1(1(2(x1))))))))))))))))))))))))))) 1(0(0(1(0(1(1(0(2(1(1(2(1(2(1(2(0(1(2(2(1(2(1(x1))))))))))))))))))))))) -> 1(2(0(0(1(1(2(2(1(2(0(2(2(0(1(1(2(2(2(1(2(2(2(2(2(1(2(x1))))))))))))))))))))))))))) 1(0(1(0(2(2(2(2(1(0(0(2(0(2(1(2(1(2(1(1(2(0(2(x1))))))))))))))))))))))) -> 2(1(2(0(2(0(2(0(2(2(2(2(1(2(1(2(2(2(1(1(2(1(0(1(1(2(2(x1))))))))))))))))))))))))))) 1(1(0(0(1(1(1(2(2(2(1(2(1(0(0(0(2(2(2(0(1(2(0(x1))))))))))))))))))))))) -> 2(1(2(1(2(2(2(1(2(2(0(2(2(1(0(2(1(2(2(0(1(0(1(1(2(2(2(x1))))))))))))))))))))))))))) 1(1(0(1(2(2(2(2(1(0(2(1(2(0(0(0(1(0(2(1(1(1(2(x1))))))))))))))))))))))) -> 2(1(2(1(2(2(2(2(2(0(0(0(0(2(1(2(2(2(2(1(2(2(2(0(0(2(2(x1))))))))))))))))))))))))))) 1(1(0(2(1(0(2(0(1(2(0(2(0(0(2(1(0(1(0(1(2(1(2(x1))))))))))))))))))))))) -> 2(0(2(2(1(1(1(2(2(0(1(2(0(2(1(1(2(1(0(0(2(0(1(2(2(2(2(x1))))))))))))))))))))))))))) 1(1(0(2(1(2(2(2(2(1(0(1(2(0(1(2(1(1(0(2(1(2(0(x1))))))))))))))))))))))) -> 2(2(1(2(1(2(2(1(0(1(2(2(2(1(0(2(1(1(2(1(0(1(1(1(2(2(2(x1))))))))))))))))))))))))))) 1(1(1(0(2(2(1(1(1(2(2(0(2(0(2(1(1(2(1(2(1(2(2(x1))))))))))))))))))))))) -> 1(2(1(2(1(1(1(1(2(1(1(1(2(2(0(1(0(2(2(1(2(2(2(1(0(1(2(x1))))))))))))))))))))))))))) 1(1(2(2(1(0(2(0(1(1(2(2(2(1(0(1(0(0(2(1(1(0(2(x1))))))))))))))))))))))) -> 2(2(2(1(1(2(2(2(1(2(2(0(0(2(0(0(1(2(0(2(2(1(2(2(2(0(2(x1))))))))))))))))))))))))))) 1(2(0(0(2(0(1(2(2(0(2(1(2(1(2(0(1(0(1(2(0(2(1(x1))))))))))))))))))))))) -> 1(2(2(0(2(1(2(2(0(1(0(2(1(0(1(2(1(2(2(2(2(0(2(2(0(2(0(x1))))))))))))))))))))))))))) 1(2(0(2(1(2(2(1(2(2(2(0(1(1(1(1(0(1(0(0(2(0(1(x1))))))))))))))))))))))) -> 1(2(1(2(1(2(2(2(2(2(2(0(0(2(0(0(2(2(0(1(1(1(1(0(0(2(1(x1))))))))))))))))))))))))))) 1(2(2(2(1(1(0(0(2(2(2(0(0(0(2(1(2(2(0(2(0(2(0(x1))))))))))))))))))))))) -> 1(2(1(2(0(0(1(1(1(2(2(2(2(1(2(2(2(0(2(0(1(2(2(2(2(0(0(x1))))))))))))))))))))))))))) 2(0(1(0(0(0(1(0(0(0(0(0(0(0(1(0(2(0(0(2(2(2(2(x1))))))))))))))))))))))) -> 2(2(2(1(1(2(1(2(0(1(1(2(1(0(2(1(0(0(1(0(1(1(2(1(2(2(2(x1))))))))))))))))))))))))))) 2(0(2(0(1(0(1(1(2(0(1(1(2(2(1(0(2(0(2(0(2(2(2(x1))))))))))))))))))))))) -> 2(0(0(1(1(2(0(2(2(1(1(2(2(0(1(2(2(2(0(0(2(0(2(2(2(0(2(x1))))))))))))))))))))))))))) 2(0(2(0(1(2(2(0(0(2(2(2(1(1(1(2(1(0(2(0(2(2(0(x1))))))))))))))))))))))) -> 2(1(1(1(2(2(0(0(0(2(1(0(0(0(1(1(0(2(2(0(2(2(2(2(2(2(0(x1))))))))))))))))))))))))))) 2(1(0(1(0(0(2(2(2(0(1(0(0(2(0(0(1(2(0(2(2(2(0(x1))))))))))))))))))))))) -> 2(1(1(2(0(1(2(0(0(2(0(1(2(2(1(1(1(2(2(2(0(0(1(1(0(2(0(x1))))))))))))))))))))))))))) 2(1(0(1(1(2(0(0(2(1(0(0(0(1(2(1(1(2(0(2(1(2(1(x1))))))))))))))))))))))) -> 2(0(2(2(0(0(2(2(1(1(1(2(0(1(0(1(2(2(2(2(2(0(0(0(2(2(1(x1))))))))))))))))))))))))))) 2(1(1(0(2(2(2(0(1(2(1(1(0(1(2(0(0(1(1(1(1(2(2(x1))))))))))))))))))))))) -> 2(0(0(2(1(0(0(0(0(0(1(2(1(1(2(1(1(2(1(2(2(0(1(1(1(2(2(x1))))))))))))))))))))))))))) 2(1(2(1(0(2(1(2(0(0(0(0(2(0(0(0(2(2(0(0(0(0(1(x1))))))))))))))))))))))) -> 2(1(2(1(2(0(0(2(1(0(0(2(2(0(1(0(2(1(2(1(2(2(1(2(1(1(2(x1))))))))))))))))))))))))))) 2(2(0(0(1(0(1(2(2(2(1(1(0(0(1(2(2(1(2(0(1(2(1(x1))))))))))))))))))))))) -> 2(2(2(2(0(2(0(2(2(1(2(1(0(1(1(2(2(0(0(2(1(2(1(2(1(2(0(x1))))))))))))))))))))))))))) 2(2(0(0(1(2(1(1(2(1(0(0(0(0(0(2(1(2(1(1(2(0(2(x1))))))))))))))))))))))) -> 2(1(1(2(2(2(2(1(2(1(0(0(2(1(0(2(2(0(1(1(0(2(0(0(0(0(2(x1))))))))))))))))))))))))))) 2(2(0(0(2(1(2(0(1(2(0(2(1(0(1(1(2(2(1(0(1(0(2(x1))))))))))))))))))))))) -> 2(2(2(2(1(2(1(2(0(2(2(2(2(2(0(1(2(0(2(1(0(0(0(2(0(2(2(x1))))))))))))))))))))))))))) 2(2(0(1(1(0(0(1(2(1(0(2(1(2(2(2(1(0(0(2(2(2(0(x1))))))))))))))))))))))) -> 2(2(1(0(0(0(0(2(2(1(1(2(2(1(0(2(1(2(1(2(2(1(2(2(2(0(0(x1))))))))))))))))))))))))))) 2(2(0(1(2(2(2(0(2(2(2(0(2(2(2(2(1(0(1(0(0(1(0(x1))))))))))))))))))))))) -> 2(2(0(1(1(2(2(2(1(1(2(1(0(0(1(2(2(1(2(1(0(2(2(0(0(2(0(x1))))))))))))))))))))))))))) 2(2(1(1(1(0(0(2(1(0(2(1(2(0(0(2(1(0(1(1(2(2(1(x1))))))))))))))))))))))) -> 2(1(2(2(0(1(2(1(1(0(1(2(1(0(0(1(2(2(1(2(1(0(2(1(2(2(1(x1))))))))))))))))))))))))))) 2(2(1(1(1(2(0(1(1(2(2(0(1(1(1(1(1(2(2(2(0(2(1(x1))))))))))))))))))))))) -> 1(2(1(2(2(1(1(1(1(2(2(2(1(2(0(0(0(1(2(0(0(1(2(2(2(2(2(x1))))))))))))))))))))))))))) 2(2(1(1(2(0(0(2(2(2(2(1(1(1(1(1(2(1(2(0(0(1(1(x1))))))))))))))))))))))) -> 2(2(1(1(2(2(1(2(1(2(2(0(0(0(2(1(0(2(2(1(2(2(0(1(1(2(2(x1))))))))))))))))))))))))))) 2(2(1(1(2(2(1(2(1(1(1(0(0(2(1(1(0(2(0(0(1(1(2(x1))))))))))))))))))))))) -> 2(1(1(1(2(2(2(1(1(0(2(2(1(0(1(0(2(2(1(2(0(0(0(1(2(1(2(x1))))))))))))))))))))))))))) 2(2(1(2(1(2(2(2(0(1(2(1(2(2(2(2(1(1(0(1(0(1(0(x1))))))))))))))))))))))) -> 1(2(1(2(1(2(0(1(2(2(0(1(1(1(2(2(1(1(1(2(2(0(1(0(1(2(2(x1))))))))))))))))))))))))))) 2(2(1(2(2(0(0(2(1(1(0(2(2(0(2(2(0(2(2(1(2(0(2(x1))))))))))))))))))))))) -> 1(2(1(1(1(2(2(2(1(2(1(0(2(1(1(1(1(2(2(0(0(1(1(0(2(1(2(x1))))))))))))))))))))))))))) 2(2(2(0(0(1(0(0(2(0(0(2(1(1(2(1(0(1(2(2(2(1(0(x1))))))))))))))))))))))) -> 1(2(2(2(2(0(1(2(1(2(0(1(2(1(2(1(0(1(0(1(0(1(1(2(2(1(0(x1))))))))))))))))))))))))))) The (relative) TRS S consists of the following rules: encArg(cons_0(x_1)) -> 0(encArg(x_1)) encArg(cons_1(x_1)) -> 1(encArg(x_1)) encArg(cons_2(x_1)) -> 2(encArg(x_1)) encode_0(x_1) -> 0(encArg(x_1)) encode_1(x_1) -> 1(encArg(x_1)) encode_2(x_1) -> 2(encArg(x_1)) Rewrite Strategy: FULL ---------------------------------------- (9) TypeInferenceProof (BOTH BOUNDS(ID, ID)) Infered types. ---------------------------------------- (10) Obligation: TRS: Rules: 0(0(0(0(1(0(0(2(2(1(0(2(0(2(1(1(2(1(2(2(0(1(1(x1))))))))))))))))))))))) -> 0(1(2(0(0(2(1(2(2(1(1(2(1(1(1(1(2(2(2(1(2(1(0(2(1(1(0(x1))))))))))))))))))))))))))) 0(0(0(2(2(0(2(2(2(1(1(0(2(2(1(2(1(0(2(0(0(0(1(x1))))))))))))))))))))))) -> 2(0(1(1(1(2(2(1(1(2(2(2(2(1(0(1(2(1(1(2(2(2(1(2(1(2(2(x1))))))))))))))))))))))))))) 0(0(1(0(2(2(1(2(0(0(1(2(0(2(2(2(1(1(2(0(0(2(1(x1))))))))))))))))))))))) -> 0(1(1(1(0(2(1(2(1(2(0(1(1(2(1(1(2(2(2(2(2(0(2(2(2(1(2(x1))))))))))))))))))))))))))) 0(0(1(2(0(1(0(0(2(0(1(1(0(1(2(1(1(2(2(1(1(0(2(x1))))))))))))))))))))))) -> 0(2(2(2(0(1(1(2(1(2(2(1(2(1(0(2(2(2(1(2(1(1(0(0(1(0(2(x1))))))))))))))))))))))))))) 0(0(2(0(2(2(1(2(1(1(2(1(1(2(1(0(0(0(0(1(1(2(1(x1))))))))))))))))))))))) -> 0(0(1(2(2(1(1(2(2(1(1(2(2(2(2(0(1(2(1(2(1(1(1(0(1(2(2(x1))))))))))))))))))))))))))) 0(1(0(0(1(2(2(1(0(1(2(1(2(0(1(0(2(2(0(1(2(1(0(x1))))))))))))))))))))))) -> 0(0(0(1(2(2(2(2(2(2(2(0(0(0(0(1(2(1(2(2(2(1(0(2(0(2(0(x1))))))))))))))))))))))))))) 0(1(1(0(1(1(1(2(2(0(2(0(1(2(2(2(0(1(2(0(1(0(2(x1))))))))))))))))))))))) -> 0(2(0(1(0(2(0(2(2(2(1(2(1(1(2(2(2(2(2(2(2(1(0(0(0(2(2(x1))))))))))))))))))))))))))) 0(1(1(1(1(2(1(1(2(2(0(1(0(1(1(0(2(0(0(2(0(1(0(x1))))))))))))))))))))))) -> 2(2(2(2(2(1(0(1(2(2(0(1(1(1(2(2(1(1(0(0(0(0(2(2(1(2(2(x1))))))))))))))))))))))))))) 0(1(1(1(2(2(1(0(0(2(2(2(2(0(2(0(0(0(0(1(0(0(2(x1))))))))))))))))))))))) -> 0(2(1(1(1(1(2(2(1(1(0(1(1(2(1(2(1(0(0(1(2(2(1(0(0(2(2(x1))))))))))))))))))))))))))) 0(1(2(1(1(2(2(2(1(1(0(0(1(0(2(0(2(2(1(0(2(1(1(x1))))))))))))))))))))))) -> 2(1(2(1(2(1(2(2(0(2(0(1(2(1(2(1(2(0(1(2(0(0(2(2(1(1(2(x1))))))))))))))))))))))))))) 1(0(0(1(0(1(1(0(2(1(1(2(1(2(1(2(0(1(2(2(1(2(1(x1))))))))))))))))))))))) -> 1(2(0(0(1(1(2(2(1(2(0(2(2(0(1(1(2(2(2(1(2(2(2(2(2(1(2(x1))))))))))))))))))))))))))) 1(0(1(0(2(2(2(2(1(0(0(2(0(2(1(2(1(2(1(1(2(0(2(x1))))))))))))))))))))))) -> 2(1(2(0(2(0(2(0(2(2(2(2(1(2(1(2(2(2(1(1(2(1(0(1(1(2(2(x1))))))))))))))))))))))))))) 1(1(0(0(1(1(1(2(2(2(1(2(1(0(0(0(2(2(2(0(1(2(0(x1))))))))))))))))))))))) -> 2(1(2(1(2(2(2(1(2(2(0(2(2(1(0(2(1(2(2(0(1(0(1(1(2(2(2(x1))))))))))))))))))))))))))) 1(1(0(1(2(2(2(2(1(0(2(1(2(0(0(0(1(0(2(1(1(1(2(x1))))))))))))))))))))))) -> 2(1(2(1(2(2(2(2(2(0(0(0(0(2(1(2(2(2(2(1(2(2(2(0(0(2(2(x1))))))))))))))))))))))))))) 1(1(0(2(1(0(2(0(1(2(0(2(0(0(2(1(0(1(0(1(2(1(2(x1))))))))))))))))))))))) -> 2(0(2(2(1(1(1(2(2(0(1(2(0(2(1(1(2(1(0(0(2(0(1(2(2(2(2(x1))))))))))))))))))))))))))) 1(1(0(2(1(2(2(2(2(1(0(1(2(0(1(2(1(1(0(2(1(2(0(x1))))))))))))))))))))))) -> 2(2(1(2(1(2(2(1(0(1(2(2(2(1(0(2(1(1(2(1(0(1(1(1(2(2(2(x1))))))))))))))))))))))))))) 1(1(1(0(2(2(1(1(1(2(2(0(2(0(2(1(1(2(1(2(1(2(2(x1))))))))))))))))))))))) -> 1(2(1(2(1(1(1(1(2(1(1(1(2(2(0(1(0(2(2(1(2(2(2(1(0(1(2(x1))))))))))))))))))))))))))) 1(1(2(2(1(0(2(0(1(1(2(2(2(1(0(1(0(0(2(1(1(0(2(x1))))))))))))))))))))))) -> 2(2(2(1(1(2(2(2(1(2(2(0(0(2(0(0(1(2(0(2(2(1(2(2(2(0(2(x1))))))))))))))))))))))))))) 1(2(0(0(2(0(1(2(2(0(2(1(2(1(2(0(1(0(1(2(0(2(1(x1))))))))))))))))))))))) -> 1(2(2(0(2(1(2(2(0(1(0(2(1(0(1(2(1(2(2(2(2(0(2(2(0(2(0(x1))))))))))))))))))))))))))) 1(2(0(2(1(2(2(1(2(2(2(0(1(1(1(1(0(1(0(0(2(0(1(x1))))))))))))))))))))))) -> 1(2(1(2(1(2(2(2(2(2(2(0(0(2(0(0(2(2(0(1(1(1(1(0(0(2(1(x1))))))))))))))))))))))))))) 1(2(2(2(1(1(0(0(2(2(2(0(0(0(2(1(2(2(0(2(0(2(0(x1))))))))))))))))))))))) -> 1(2(1(2(0(0(1(1(1(2(2(2(2(1(2(2(2(0(2(0(1(2(2(2(2(0(0(x1))))))))))))))))))))))))))) 2(0(1(0(0(0(1(0(0(0(0(0(0(0(1(0(2(0(0(2(2(2(2(x1))))))))))))))))))))))) -> 2(2(2(1(1(2(1(2(0(1(1(2(1(0(2(1(0(0(1(0(1(1(2(1(2(2(2(x1))))))))))))))))))))))))))) 2(0(2(0(1(0(1(1(2(0(1(1(2(2(1(0(2(0(2(0(2(2(2(x1))))))))))))))))))))))) -> 2(0(0(1(1(2(0(2(2(1(1(2(2(0(1(2(2(2(0(0(2(0(2(2(2(0(2(x1))))))))))))))))))))))))))) 2(0(2(0(1(2(2(0(0(2(2(2(1(1(1(2(1(0(2(0(2(2(0(x1))))))))))))))))))))))) -> 2(1(1(1(2(2(0(0(0(2(1(0(0(0(1(1(0(2(2(0(2(2(2(2(2(2(0(x1))))))))))))))))))))))))))) 2(1(0(1(0(0(2(2(2(0(1(0(0(2(0(0(1(2(0(2(2(2(0(x1))))))))))))))))))))))) -> 2(1(1(2(0(1(2(0(0(2(0(1(2(2(1(1(1(2(2(2(0(0(1(1(0(2(0(x1))))))))))))))))))))))))))) 2(1(0(1(1(2(0(0(2(1(0(0(0(1(2(1(1(2(0(2(1(2(1(x1))))))))))))))))))))))) -> 2(0(2(2(0(0(2(2(1(1(1(2(0(1(0(1(2(2(2(2(2(0(0(0(2(2(1(x1))))))))))))))))))))))))))) 2(1(1(0(2(2(2(0(1(2(1(1(0(1(2(0(0(1(1(1(1(2(2(x1))))))))))))))))))))))) -> 2(0(0(2(1(0(0(0(0(0(1(2(1(1(2(1(1(2(1(2(2(0(1(1(1(2(2(x1))))))))))))))))))))))))))) 2(1(2(1(0(2(1(2(0(0(0(0(2(0(0(0(2(2(0(0(0(0(1(x1))))))))))))))))))))))) -> 2(1(2(1(2(0(0(2(1(0(0(2(2(0(1(0(2(1(2(1(2(2(1(2(1(1(2(x1))))))))))))))))))))))))))) 2(2(0(0(1(0(1(2(2(2(1(1(0(0(1(2(2(1(2(0(1(2(1(x1))))))))))))))))))))))) -> 2(2(2(2(0(2(0(2(2(1(2(1(0(1(1(2(2(0(0(2(1(2(1(2(1(2(0(x1))))))))))))))))))))))))))) 2(2(0(0(1(2(1(1(2(1(0(0(0(0(0(2(1(2(1(1(2(0(2(x1))))))))))))))))))))))) -> 2(1(1(2(2(2(2(1(2(1(0(0(2(1(0(2(2(0(1(1(0(2(0(0(0(0(2(x1))))))))))))))))))))))))))) 2(2(0(0(2(1(2(0(1(2(0(2(1(0(1(1(2(2(1(0(1(0(2(x1))))))))))))))))))))))) -> 2(2(2(2(1(2(1(2(0(2(2(2(2(2(0(1(2(0(2(1(0(0(0(2(0(2(2(x1))))))))))))))))))))))))))) 2(2(0(1(1(0(0(1(2(1(0(2(1(2(2(2(1(0(0(2(2(2(0(x1))))))))))))))))))))))) -> 2(2(1(0(0(0(0(2(2(1(1(2(2(1(0(2(1(2(1(2(2(1(2(2(2(0(0(x1))))))))))))))))))))))))))) 2(2(0(1(2(2(2(0(2(2(2(0(2(2(2(2(1(0(1(0(0(1(0(x1))))))))))))))))))))))) -> 2(2(0(1(1(2(2(2(1(1(2(1(0(0(1(2(2(1(2(1(0(2(2(0(0(2(0(x1))))))))))))))))))))))))))) 2(2(1(1(1(0(0(2(1(0(2(1(2(0(0(2(1(0(1(1(2(2(1(x1))))))))))))))))))))))) -> 2(1(2(2(0(1(2(1(1(0(1(2(1(0(0(1(2(2(1(2(1(0(2(1(2(2(1(x1))))))))))))))))))))))))))) 2(2(1(1(1(2(0(1(1(2(2(0(1(1(1(1(1(2(2(2(0(2(1(x1))))))))))))))))))))))) -> 1(2(1(2(2(1(1(1(1(2(2(2(1(2(0(0(0(1(2(0(0(1(2(2(2(2(2(x1))))))))))))))))))))))))))) 2(2(1(1(2(0(0(2(2(2(2(1(1(1(1(1(2(1(2(0(0(1(1(x1))))))))))))))))))))))) -> 2(2(1(1(2(2(1(2(1(2(2(0(0(0(2(1(0(2(2(1(2(2(0(1(1(2(2(x1))))))))))))))))))))))))))) 2(2(1(1(2(2(1(2(1(1(1(0(0(2(1(1(0(2(0(0(1(1(2(x1))))))))))))))))))))))) -> 2(1(1(1(2(2(2(1(1(0(2(2(1(0(1(0(2(2(1(2(0(0(0(1(2(1(2(x1))))))))))))))))))))))))))) 2(2(1(2(1(2(2(2(0(1(2(1(2(2(2(2(1(1(0(1(0(1(0(x1))))))))))))))))))))))) -> 1(2(1(2(1(2(0(1(2(2(0(1(1(1(2(2(1(1(1(2(2(0(1(0(1(2(2(x1))))))))))))))))))))))))))) 2(2(1(2(2(0(0(2(1(1(0(2(2(0(2(2(0(2(2(1(2(0(2(x1))))))))))))))))))))))) -> 1(2(1(1(1(2(2(2(1(2(1(0(2(1(1(1(1(2(2(0(0(1(1(0(2(1(2(x1))))))))))))))))))))))))))) 2(2(2(0(0(1(0(0(2(0(0(2(1(1(2(1(0(1(2(2(2(1(0(x1))))))))))))))))))))))) -> 1(2(2(2(2(0(1(2(1(2(0(1(2(1(2(1(0(1(0(1(0(1(1(2(2(1(0(x1))))))))))))))))))))))))))) encArg(cons_0(x_1)) -> 0(encArg(x_1)) encArg(cons_1(x_1)) -> 1(encArg(x_1)) encArg(cons_2(x_1)) -> 2(encArg(x_1)) encode_0(x_1) -> 0(encArg(x_1)) encode_1(x_1) -> 1(encArg(x_1)) encode_2(x_1) -> 2(encArg(x_1)) Types: 0 :: 1:0:2:encArg:encode_0:encode_1:encode_2 -> 1:0:2:encArg:encode_0:encode_1:encode_2 1 :: 1:0:2:encArg:encode_0:encode_1:encode_2 -> 1:0:2:encArg:encode_0:encode_1:encode_2 2 :: 1:0:2:encArg:encode_0:encode_1:encode_2 -> 1:0:2:encArg:encode_0:encode_1:encode_2 encArg :: cons_0:cons_1:cons_2 -> 1:0:2:encArg:encode_0:encode_1:encode_2 cons_0 :: cons_0:cons_1:cons_2 -> cons_0:cons_1:cons_2 cons_1 :: cons_0:cons_1:cons_2 -> cons_0:cons_1:cons_2 cons_2 :: cons_0:cons_1:cons_2 -> cons_0:cons_1:cons_2 encode_0 :: cons_0:cons_1:cons_2 -> 1:0:2:encArg:encode_0:encode_1:encode_2 encode_1 :: cons_0:cons_1:cons_2 -> 1:0:2:encArg:encode_0:encode_1:encode_2 encode_2 :: cons_0:cons_1:cons_2 -> 1:0:2:encArg:encode_0:encode_1:encode_2 hole_1:0:2:encArg:encode_0:encode_1:encode_21_3 :: 1:0:2:encArg:encode_0:encode_1:encode_2 hole_cons_0:cons_1:cons_22_3 :: cons_0:cons_1:cons_2 gen_cons_0:cons_1:cons_23_3 :: Nat -> cons_0:cons_1:cons_2 ---------------------------------------- (11) OrderProof (LOWER BOUND(ID)) Heuristically decided to analyse the following defined symbols: 0, 1, 2, encArg They will be analysed ascendingly in the following order: 0 = 1 0 = 2 0 < encArg 1 = 2 1 < encArg 2 < encArg ---------------------------------------- (12) Obligation: TRS: Rules: 0(0(0(0(1(0(0(2(2(1(0(2(0(2(1(1(2(1(2(2(0(1(1(x1))))))))))))))))))))))) -> 0(1(2(0(0(2(1(2(2(1(1(2(1(1(1(1(2(2(2(1(2(1(0(2(1(1(0(x1))))))))))))))))))))))))))) 0(0(0(2(2(0(2(2(2(1(1(0(2(2(1(2(1(0(2(0(0(0(1(x1))))))))))))))))))))))) -> 2(0(1(1(1(2(2(1(1(2(2(2(2(1(0(1(2(1(1(2(2(2(1(2(1(2(2(x1))))))))))))))))))))))))))) 0(0(1(0(2(2(1(2(0(0(1(2(0(2(2(2(1(1(2(0(0(2(1(x1))))))))))))))))))))))) -> 0(1(1(1(0(2(1(2(1(2(0(1(1(2(1(1(2(2(2(2(2(0(2(2(2(1(2(x1))))))))))))))))))))))))))) 0(0(1(2(0(1(0(0(2(0(1(1(0(1(2(1(1(2(2(1(1(0(2(x1))))))))))))))))))))))) -> 0(2(2(2(0(1(1(2(1(2(2(1(2(1(0(2(2(2(1(2(1(1(0(0(1(0(2(x1))))))))))))))))))))))))))) 0(0(2(0(2(2(1(2(1(1(2(1(1(2(1(0(0(0(0(1(1(2(1(x1))))))))))))))))))))))) -> 0(0(1(2(2(1(1(2(2(1(1(2(2(2(2(0(1(2(1(2(1(1(1(0(1(2(2(x1))))))))))))))))))))))))))) 0(1(0(0(1(2(2(1(0(1(2(1(2(0(1(0(2(2(0(1(2(1(0(x1))))))))))))))))))))))) -> 0(0(0(1(2(2(2(2(2(2(2(0(0(0(0(1(2(1(2(2(2(1(0(2(0(2(0(x1))))))))))))))))))))))))))) 0(1(1(0(1(1(1(2(2(0(2(0(1(2(2(2(0(1(2(0(1(0(2(x1))))))))))))))))))))))) -> 0(2(0(1(0(2(0(2(2(2(1(2(1(1(2(2(2(2(2(2(2(1(0(0(0(2(2(x1))))))))))))))))))))))))))) 0(1(1(1(1(2(1(1(2(2(0(1(0(1(1(0(2(0(0(2(0(1(0(x1))))))))))))))))))))))) -> 2(2(2(2(2(1(0(1(2(2(0(1(1(1(2(2(1(1(0(0(0(0(2(2(1(2(2(x1))))))))))))))))))))))))))) 0(1(1(1(2(2(1(0(0(2(2(2(2(0(2(0(0(0(0(1(0(0(2(x1))))))))))))))))))))))) -> 0(2(1(1(1(1(2(2(1(1(0(1(1(2(1(2(1(0(0(1(2(2(1(0(0(2(2(x1))))))))))))))))))))))))))) 0(1(2(1(1(2(2(2(1(1(0(0(1(0(2(0(2(2(1(0(2(1(1(x1))))))))))))))))))))))) -> 2(1(2(1(2(1(2(2(0(2(0(1(2(1(2(1(2(0(1(2(0(0(2(2(1(1(2(x1))))))))))))))))))))))))))) 1(0(0(1(0(1(1(0(2(1(1(2(1(2(1(2(0(1(2(2(1(2(1(x1))))))))))))))))))))))) -> 1(2(0(0(1(1(2(2(1(2(0(2(2(0(1(1(2(2(2(1(2(2(2(2(2(1(2(x1))))))))))))))))))))))))))) 1(0(1(0(2(2(2(2(1(0(0(2(0(2(1(2(1(2(1(1(2(0(2(x1))))))))))))))))))))))) -> 2(1(2(0(2(0(2(0(2(2(2(2(1(2(1(2(2(2(1(1(2(1(0(1(1(2(2(x1))))))))))))))))))))))))))) 1(1(0(0(1(1(1(2(2(2(1(2(1(0(0(0(2(2(2(0(1(2(0(x1))))))))))))))))))))))) -> 2(1(2(1(2(2(2(1(2(2(0(2(2(1(0(2(1(2(2(0(1(0(1(1(2(2(2(x1))))))))))))))))))))))))))) 1(1(0(1(2(2(2(2(1(0(2(1(2(0(0(0(1(0(2(1(1(1(2(x1))))))))))))))))))))))) -> 2(1(2(1(2(2(2(2(2(0(0(0(0(2(1(2(2(2(2(1(2(2(2(0(0(2(2(x1))))))))))))))))))))))))))) 1(1(0(2(1(0(2(0(1(2(0(2(0(0(2(1(0(1(0(1(2(1(2(x1))))))))))))))))))))))) -> 2(0(2(2(1(1(1(2(2(0(1(2(0(2(1(1(2(1(0(0(2(0(1(2(2(2(2(x1))))))))))))))))))))))))))) 1(1(0(2(1(2(2(2(2(1(0(1(2(0(1(2(1(1(0(2(1(2(0(x1))))))))))))))))))))))) -> 2(2(1(2(1(2(2(1(0(1(2(2(2(1(0(2(1(1(2(1(0(1(1(1(2(2(2(x1))))))))))))))))))))))))))) 1(1(1(0(2(2(1(1(1(2(2(0(2(0(2(1(1(2(1(2(1(2(2(x1))))))))))))))))))))))) -> 1(2(1(2(1(1(1(1(2(1(1(1(2(2(0(1(0(2(2(1(2(2(2(1(0(1(2(x1))))))))))))))))))))))))))) 1(1(2(2(1(0(2(0(1(1(2(2(2(1(0(1(0(0(2(1(1(0(2(x1))))))))))))))))))))))) -> 2(2(2(1(1(2(2(2(1(2(2(0(0(2(0(0(1(2(0(2(2(1(2(2(2(0(2(x1))))))))))))))))))))))))))) 1(2(0(0(2(0(1(2(2(0(2(1(2(1(2(0(1(0(1(2(0(2(1(x1))))))))))))))))))))))) -> 1(2(2(0(2(1(2(2(0(1(0(2(1(0(1(2(1(2(2(2(2(0(2(2(0(2(0(x1))))))))))))))))))))))))))) 1(2(0(2(1(2(2(1(2(2(2(0(1(1(1(1(0(1(0(0(2(0(1(x1))))))))))))))))))))))) -> 1(2(1(2(1(2(2(2(2(2(2(0(0(2(0(0(2(2(0(1(1(1(1(0(0(2(1(x1))))))))))))))))))))))))))) 1(2(2(2(1(1(0(0(2(2(2(0(0(0(2(1(2(2(0(2(0(2(0(x1))))))))))))))))))))))) -> 1(2(1(2(0(0(1(1(1(2(2(2(2(1(2(2(2(0(2(0(1(2(2(2(2(0(0(x1))))))))))))))))))))))))))) 2(0(1(0(0(0(1(0(0(0(0(0(0(0(1(0(2(0(0(2(2(2(2(x1))))))))))))))))))))))) -> 2(2(2(1(1(2(1(2(0(1(1(2(1(0(2(1(0(0(1(0(1(1(2(1(2(2(2(x1))))))))))))))))))))))))))) 2(0(2(0(1(0(1(1(2(0(1(1(2(2(1(0(2(0(2(0(2(2(2(x1))))))))))))))))))))))) -> 2(0(0(1(1(2(0(2(2(1(1(2(2(0(1(2(2(2(0(0(2(0(2(2(2(0(2(x1))))))))))))))))))))))))))) 2(0(2(0(1(2(2(0(0(2(2(2(1(1(1(2(1(0(2(0(2(2(0(x1))))))))))))))))))))))) -> 2(1(1(1(2(2(0(0(0(2(1(0(0(0(1(1(0(2(2(0(2(2(2(2(2(2(0(x1))))))))))))))))))))))))))) 2(1(0(1(0(0(2(2(2(0(1(0(0(2(0(0(1(2(0(2(2(2(0(x1))))))))))))))))))))))) -> 2(1(1(2(0(1(2(0(0(2(0(1(2(2(1(1(1(2(2(2(0(0(1(1(0(2(0(x1))))))))))))))))))))))))))) 2(1(0(1(1(2(0(0(2(1(0(0(0(1(2(1(1(2(0(2(1(2(1(x1))))))))))))))))))))))) -> 2(0(2(2(0(0(2(2(1(1(1(2(0(1(0(1(2(2(2(2(2(0(0(0(2(2(1(x1))))))))))))))))))))))))))) 2(1(1(0(2(2(2(0(1(2(1(1(0(1(2(0(0(1(1(1(1(2(2(x1))))))))))))))))))))))) -> 2(0(0(2(1(0(0(0(0(0(1(2(1(1(2(1(1(2(1(2(2(0(1(1(1(2(2(x1))))))))))))))))))))))))))) 2(1(2(1(0(2(1(2(0(0(0(0(2(0(0(0(2(2(0(0(0(0(1(x1))))))))))))))))))))))) -> 2(1(2(1(2(0(0(2(1(0(0(2(2(0(1(0(2(1(2(1(2(2(1(2(1(1(2(x1))))))))))))))))))))))))))) 2(2(0(0(1(0(1(2(2(2(1(1(0(0(1(2(2(1(2(0(1(2(1(x1))))))))))))))))))))))) -> 2(2(2(2(0(2(0(2(2(1(2(1(0(1(1(2(2(0(0(2(1(2(1(2(1(2(0(x1))))))))))))))))))))))))))) 2(2(0(0(1(2(1(1(2(1(0(0(0(0(0(2(1(2(1(1(2(0(2(x1))))))))))))))))))))))) -> 2(1(1(2(2(2(2(1(2(1(0(0(2(1(0(2(2(0(1(1(0(2(0(0(0(0(2(x1))))))))))))))))))))))))))) 2(2(0(0(2(1(2(0(1(2(0(2(1(0(1(1(2(2(1(0(1(0(2(x1))))))))))))))))))))))) -> 2(2(2(2(1(2(1(2(0(2(2(2(2(2(0(1(2(0(2(1(0(0(0(2(0(2(2(x1))))))))))))))))))))))))))) 2(2(0(1(1(0(0(1(2(1(0(2(1(2(2(2(1(0(0(2(2(2(0(x1))))))))))))))))))))))) -> 2(2(1(0(0(0(0(2(2(1(1(2(2(1(0(2(1(2(1(2(2(1(2(2(2(0(0(x1))))))))))))))))))))))))))) 2(2(0(1(2(2(2(0(2(2(2(0(2(2(2(2(1(0(1(0(0(1(0(x1))))))))))))))))))))))) -> 2(2(0(1(1(2(2(2(1(1(2(1(0(0(1(2(2(1(2(1(0(2(2(0(0(2(0(x1))))))))))))))))))))))))))) 2(2(1(1(1(0(0(2(1(0(2(1(2(0(0(2(1(0(1(1(2(2(1(x1))))))))))))))))))))))) -> 2(1(2(2(0(1(2(1(1(0(1(2(1(0(0(1(2(2(1(2(1(0(2(1(2(2(1(x1))))))))))))))))))))))))))) 2(2(1(1(1(2(0(1(1(2(2(0(1(1(1(1(1(2(2(2(0(2(1(x1))))))))))))))))))))))) -> 1(2(1(2(2(1(1(1(1(2(2(2(1(2(0(0(0(1(2(0(0(1(2(2(2(2(2(x1))))))))))))))))))))))))))) 2(2(1(1(2(0(0(2(2(2(2(1(1(1(1(1(2(1(2(0(0(1(1(x1))))))))))))))))))))))) -> 2(2(1(1(2(2(1(2(1(2(2(0(0(0(2(1(0(2(2(1(2(2(0(1(1(2(2(x1))))))))))))))))))))))))))) 2(2(1(1(2(2(1(2(1(1(1(0(0(2(1(1(0(2(0(0(1(1(2(x1))))))))))))))))))))))) -> 2(1(1(1(2(2(2(1(1(0(2(2(1(0(1(0(2(2(1(2(0(0(0(1(2(1(2(x1))))))))))))))))))))))))))) 2(2(1(2(1(2(2(2(0(1(2(1(2(2(2(2(1(1(0(1(0(1(0(x1))))))))))))))))))))))) -> 1(2(1(2(1(2(0(1(2(2(0(1(1(1(2(2(1(1(1(2(2(0(1(0(1(2(2(x1))))))))))))))))))))))))))) 2(2(1(2(2(0(0(2(1(1(0(2(2(0(2(2(0(2(2(1(2(0(2(x1))))))))))))))))))))))) -> 1(2(1(1(1(2(2(2(1(2(1(0(2(1(1(1(1(2(2(0(0(1(1(0(2(1(2(x1))))))))))))))))))))))))))) 2(2(2(0(0(1(0(0(2(0(0(2(1(1(2(1(0(1(2(2(2(1(0(x1))))))))))))))))))))))) -> 1(2(2(2(2(0(1(2(1(2(0(1(2(1(2(1(0(1(0(1(0(1(1(2(2(1(0(x1))))))))))))))))))))))))))) encArg(cons_0(x_1)) -> 0(encArg(x_1)) encArg(cons_1(x_1)) -> 1(encArg(x_1)) encArg(cons_2(x_1)) -> 2(encArg(x_1)) encode_0(x_1) -> 0(encArg(x_1)) encode_1(x_1) -> 1(encArg(x_1)) encode_2(x_1) -> 2(encArg(x_1)) Types: 0 :: 1:0:2:encArg:encode_0:encode_1:encode_2 -> 1:0:2:encArg:encode_0:encode_1:encode_2 1 :: 1:0:2:encArg:encode_0:encode_1:encode_2 -> 1:0:2:encArg:encode_0:encode_1:encode_2 2 :: 1:0:2:encArg:encode_0:encode_1:encode_2 -> 1:0:2:encArg:encode_0:encode_1:encode_2 encArg :: cons_0:cons_1:cons_2 -> 1:0:2:encArg:encode_0:encode_1:encode_2 cons_0 :: cons_0:cons_1:cons_2 -> cons_0:cons_1:cons_2 cons_1 :: cons_0:cons_1:cons_2 -> cons_0:cons_1:cons_2 cons_2 :: cons_0:cons_1:cons_2 -> cons_0:cons_1:cons_2 encode_0 :: cons_0:cons_1:cons_2 -> 1:0:2:encArg:encode_0:encode_1:encode_2 encode_1 :: cons_0:cons_1:cons_2 -> 1:0:2:encArg:encode_0:encode_1:encode_2 encode_2 :: cons_0:cons_1:cons_2 -> 1:0:2:encArg:encode_0:encode_1:encode_2 hole_1:0:2:encArg:encode_0:encode_1:encode_21_3 :: 1:0:2:encArg:encode_0:encode_1:encode_2 hole_cons_0:cons_1:cons_22_3 :: cons_0:cons_1:cons_2 gen_cons_0:cons_1:cons_23_3 :: Nat -> cons_0:cons_1:cons_2 Generator Equations: gen_cons_0:cons_1:cons_23_3(0) <=> hole_cons_0:cons_1:cons_22_3 gen_cons_0:cons_1:cons_23_3(+(x, 1)) <=> cons_0(gen_cons_0:cons_1:cons_23_3(x)) The following defined symbols remain to be analysed: 1, 0, 2, encArg They will be analysed ascendingly in the following order: 0 = 1 0 = 2 0 < encArg 1 = 2 1 < encArg 2 < encArg ---------------------------------------- (13) RewriteLemmaProof (LOWER BOUND(ID)) Proved the following rewrite lemma: encArg(gen_cons_0:cons_1:cons_23_3(+(1, n4469814_3))) -> *4_3, rt in Omega(0) Induction Base: encArg(gen_cons_0:cons_1:cons_23_3(+(1, 0))) Induction Step: encArg(gen_cons_0:cons_1:cons_23_3(+(1, +(n4469814_3, 1)))) ->_R^Omega(0) 0(encArg(gen_cons_0:cons_1:cons_23_3(+(1, n4469814_3)))) ->_IH 0(*4_3) We have rt in Omega(1) and sz in O(n). Thus, we have irc_R in Omega(n^0). ---------------------------------------- (14) BOUNDS(1, INF) ---------------------------------------- (15) RelTrsToTrsProof (UPPER BOUND(ID)) transformed relative TRS to TRS ---------------------------------------- (16) Obligation: The Runtime Complexity (full) of the given CpxTRS could be proven to be BOUNDS(1, INF). The TRS R consists of the following rules: 0(0(0(0(1(0(0(2(2(1(0(2(0(2(1(1(2(1(2(2(0(1(1(x1))))))))))))))))))))))) -> 0(1(2(0(0(2(1(2(2(1(1(2(1(1(1(1(2(2(2(1(2(1(0(2(1(1(0(x1))))))))))))))))))))))))))) 0(0(0(2(2(0(2(2(2(1(1(0(2(2(1(2(1(0(2(0(0(0(1(x1))))))))))))))))))))))) -> 2(0(1(1(1(2(2(1(1(2(2(2(2(1(0(1(2(1(1(2(2(2(1(2(1(2(2(x1))))))))))))))))))))))))))) 0(0(1(0(2(2(1(2(0(0(1(2(0(2(2(2(1(1(2(0(0(2(1(x1))))))))))))))))))))))) -> 0(1(1(1(0(2(1(2(1(2(0(1(1(2(1(1(2(2(2(2(2(0(2(2(2(1(2(x1))))))))))))))))))))))))))) 0(0(1(2(0(1(0(0(2(0(1(1(0(1(2(1(1(2(2(1(1(0(2(x1))))))))))))))))))))))) -> 0(2(2(2(0(1(1(2(1(2(2(1(2(1(0(2(2(2(1(2(1(1(0(0(1(0(2(x1))))))))))))))))))))))))))) 0(0(2(0(2(2(1(2(1(1(2(1(1(2(1(0(0(0(0(1(1(2(1(x1))))))))))))))))))))))) -> 0(0(1(2(2(1(1(2(2(1(1(2(2(2(2(0(1(2(1(2(1(1(1(0(1(2(2(x1))))))))))))))))))))))))))) 0(1(0(0(1(2(2(1(0(1(2(1(2(0(1(0(2(2(0(1(2(1(0(x1))))))))))))))))))))))) -> 0(0(0(1(2(2(2(2(2(2(2(0(0(0(0(1(2(1(2(2(2(1(0(2(0(2(0(x1))))))))))))))))))))))))))) 0(1(1(0(1(1(1(2(2(0(2(0(1(2(2(2(0(1(2(0(1(0(2(x1))))))))))))))))))))))) -> 0(2(0(1(0(2(0(2(2(2(1(2(1(1(2(2(2(2(2(2(2(1(0(0(0(2(2(x1))))))))))))))))))))))))))) 0(1(1(1(1(2(1(1(2(2(0(1(0(1(1(0(2(0(0(2(0(1(0(x1))))))))))))))))))))))) -> 2(2(2(2(2(1(0(1(2(2(0(1(1(1(2(2(1(1(0(0(0(0(2(2(1(2(2(x1))))))))))))))))))))))))))) 0(1(1(1(2(2(1(0(0(2(2(2(2(0(2(0(0(0(0(1(0(0(2(x1))))))))))))))))))))))) -> 0(2(1(1(1(1(2(2(1(1(0(1(1(2(1(2(1(0(0(1(2(2(1(0(0(2(2(x1))))))))))))))))))))))))))) 0(1(2(1(1(2(2(2(1(1(0(0(1(0(2(0(2(2(1(0(2(1(1(x1))))))))))))))))))))))) -> 2(1(2(1(2(1(2(2(0(2(0(1(2(1(2(1(2(0(1(2(0(0(2(2(1(1(2(x1))))))))))))))))))))))))))) 1(0(0(1(0(1(1(0(2(1(1(2(1(2(1(2(0(1(2(2(1(2(1(x1))))))))))))))))))))))) -> 1(2(0(0(1(1(2(2(1(2(0(2(2(0(1(1(2(2(2(1(2(2(2(2(2(1(2(x1))))))))))))))))))))))))))) 1(0(1(0(2(2(2(2(1(0(0(2(0(2(1(2(1(2(1(1(2(0(2(x1))))))))))))))))))))))) -> 2(1(2(0(2(0(2(0(2(2(2(2(1(2(1(2(2(2(1(1(2(1(0(1(1(2(2(x1))))))))))))))))))))))))))) 1(1(0(0(1(1(1(2(2(2(1(2(1(0(0(0(2(2(2(0(1(2(0(x1))))))))))))))))))))))) -> 2(1(2(1(2(2(2(1(2(2(0(2(2(1(0(2(1(2(2(0(1(0(1(1(2(2(2(x1))))))))))))))))))))))))))) 1(1(0(1(2(2(2(2(1(0(2(1(2(0(0(0(1(0(2(1(1(1(2(x1))))))))))))))))))))))) -> 2(1(2(1(2(2(2(2(2(0(0(0(0(2(1(2(2(2(2(1(2(2(2(0(0(2(2(x1))))))))))))))))))))))))))) 1(1(0(2(1(0(2(0(1(2(0(2(0(0(2(1(0(1(0(1(2(1(2(x1))))))))))))))))))))))) -> 2(0(2(2(1(1(1(2(2(0(1(2(0(2(1(1(2(1(0(0(2(0(1(2(2(2(2(x1))))))))))))))))))))))))))) 1(1(0(2(1(2(2(2(2(1(0(1(2(0(1(2(1(1(0(2(1(2(0(x1))))))))))))))))))))))) -> 2(2(1(2(1(2(2(1(0(1(2(2(2(1(0(2(1(1(2(1(0(1(1(1(2(2(2(x1))))))))))))))))))))))))))) 1(1(1(0(2(2(1(1(1(2(2(0(2(0(2(1(1(2(1(2(1(2(2(x1))))))))))))))))))))))) -> 1(2(1(2(1(1(1(1(2(1(1(1(2(2(0(1(0(2(2(1(2(2(2(1(0(1(2(x1))))))))))))))))))))))))))) 1(1(2(2(1(0(2(0(1(1(2(2(2(1(0(1(0(0(2(1(1(0(2(x1))))))))))))))))))))))) -> 2(2(2(1(1(2(2(2(1(2(2(0(0(2(0(0(1(2(0(2(2(1(2(2(2(0(2(x1))))))))))))))))))))))))))) 1(2(0(0(2(0(1(2(2(0(2(1(2(1(2(0(1(0(1(2(0(2(1(x1))))))))))))))))))))))) -> 1(2(2(0(2(1(2(2(0(1(0(2(1(0(1(2(1(2(2(2(2(0(2(2(0(2(0(x1))))))))))))))))))))))))))) 1(2(0(2(1(2(2(1(2(2(2(0(1(1(1(1(0(1(0(0(2(0(1(x1))))))))))))))))))))))) -> 1(2(1(2(1(2(2(2(2(2(2(0(0(2(0(0(2(2(0(1(1(1(1(0(0(2(1(x1))))))))))))))))))))))))))) 1(2(2(2(1(1(0(0(2(2(2(0(0(0(2(1(2(2(0(2(0(2(0(x1))))))))))))))))))))))) -> 1(2(1(2(0(0(1(1(1(2(2(2(2(1(2(2(2(0(2(0(1(2(2(2(2(0(0(x1))))))))))))))))))))))))))) 2(0(1(0(0(0(1(0(0(0(0(0(0(0(1(0(2(0(0(2(2(2(2(x1))))))))))))))))))))))) -> 2(2(2(1(1(2(1(2(0(1(1(2(1(0(2(1(0(0(1(0(1(1(2(1(2(2(2(x1))))))))))))))))))))))))))) 2(0(2(0(1(0(1(1(2(0(1(1(2(2(1(0(2(0(2(0(2(2(2(x1))))))))))))))))))))))) -> 2(0(0(1(1(2(0(2(2(1(1(2(2(0(1(2(2(2(0(0(2(0(2(2(2(0(2(x1))))))))))))))))))))))))))) 2(0(2(0(1(2(2(0(0(2(2(2(1(1(1(2(1(0(2(0(2(2(0(x1))))))))))))))))))))))) -> 2(1(1(1(2(2(0(0(0(2(1(0(0(0(1(1(0(2(2(0(2(2(2(2(2(2(0(x1))))))))))))))))))))))))))) 2(1(0(1(0(0(2(2(2(0(1(0(0(2(0(0(1(2(0(2(2(2(0(x1))))))))))))))))))))))) -> 2(1(1(2(0(1(2(0(0(2(0(1(2(2(1(1(1(2(2(2(0(0(1(1(0(2(0(x1))))))))))))))))))))))))))) 2(1(0(1(1(2(0(0(2(1(0(0(0(1(2(1(1(2(0(2(1(2(1(x1))))))))))))))))))))))) -> 2(0(2(2(0(0(2(2(1(1(1(2(0(1(0(1(2(2(2(2(2(0(0(0(2(2(1(x1))))))))))))))))))))))))))) 2(1(1(0(2(2(2(0(1(2(1(1(0(1(2(0(0(1(1(1(1(2(2(x1))))))))))))))))))))))) -> 2(0(0(2(1(0(0(0(0(0(1(2(1(1(2(1(1(2(1(2(2(0(1(1(1(2(2(x1))))))))))))))))))))))))))) 2(1(2(1(0(2(1(2(0(0(0(0(2(0(0(0(2(2(0(0(0(0(1(x1))))))))))))))))))))))) -> 2(1(2(1(2(0(0(2(1(0(0(2(2(0(1(0(2(1(2(1(2(2(1(2(1(1(2(x1))))))))))))))))))))))))))) 2(2(0(0(1(0(1(2(2(2(1(1(0(0(1(2(2(1(2(0(1(2(1(x1))))))))))))))))))))))) -> 2(2(2(2(0(2(0(2(2(1(2(1(0(1(1(2(2(0(0(2(1(2(1(2(1(2(0(x1))))))))))))))))))))))))))) 2(2(0(0(1(2(1(1(2(1(0(0(0(0(0(2(1(2(1(1(2(0(2(x1))))))))))))))))))))))) -> 2(1(1(2(2(2(2(1(2(1(0(0(2(1(0(2(2(0(1(1(0(2(0(0(0(0(2(x1))))))))))))))))))))))))))) 2(2(0(0(2(1(2(0(1(2(0(2(1(0(1(1(2(2(1(0(1(0(2(x1))))))))))))))))))))))) -> 2(2(2(2(1(2(1(2(0(2(2(2(2(2(0(1(2(0(2(1(0(0(0(2(0(2(2(x1))))))))))))))))))))))))))) 2(2(0(1(1(0(0(1(2(1(0(2(1(2(2(2(1(0(0(2(2(2(0(x1))))))))))))))))))))))) -> 2(2(1(0(0(0(0(2(2(1(1(2(2(1(0(2(1(2(1(2(2(1(2(2(2(0(0(x1))))))))))))))))))))))))))) 2(2(0(1(2(2(2(0(2(2(2(0(2(2(2(2(1(0(1(0(0(1(0(x1))))))))))))))))))))))) -> 2(2(0(1(1(2(2(2(1(1(2(1(0(0(1(2(2(1(2(1(0(2(2(0(0(2(0(x1))))))))))))))))))))))))))) 2(2(1(1(1(0(0(2(1(0(2(1(2(0(0(2(1(0(1(1(2(2(1(x1))))))))))))))))))))))) -> 2(1(2(2(0(1(2(1(1(0(1(2(1(0(0(1(2(2(1(2(1(0(2(1(2(2(1(x1))))))))))))))))))))))))))) 2(2(1(1(1(2(0(1(1(2(2(0(1(1(1(1(1(2(2(2(0(2(1(x1))))))))))))))))))))))) -> 1(2(1(2(2(1(1(1(1(2(2(2(1(2(0(0(0(1(2(0(0(1(2(2(2(2(2(x1))))))))))))))))))))))))))) 2(2(1(1(2(0(0(2(2(2(2(1(1(1(1(1(2(1(2(0(0(1(1(x1))))))))))))))))))))))) -> 2(2(1(1(2(2(1(2(1(2(2(0(0(0(2(1(0(2(2(1(2(2(0(1(1(2(2(x1))))))))))))))))))))))))))) 2(2(1(1(2(2(1(2(1(1(1(0(0(2(1(1(0(2(0(0(1(1(2(x1))))))))))))))))))))))) -> 2(1(1(1(2(2(2(1(1(0(2(2(1(0(1(0(2(2(1(2(0(0(0(1(2(1(2(x1))))))))))))))))))))))))))) 2(2(1(2(1(2(2(2(0(1(2(1(2(2(2(2(1(1(0(1(0(1(0(x1))))))))))))))))))))))) -> 1(2(1(2(1(2(0(1(2(2(0(1(1(1(2(2(1(1(1(2(2(0(1(0(1(2(2(x1))))))))))))))))))))))))))) 2(2(1(2(2(0(0(2(1(1(0(2(2(0(2(2(0(2(2(1(2(0(2(x1))))))))))))))))))))))) -> 1(2(1(1(1(2(2(2(1(2(1(0(2(1(1(1(1(2(2(0(0(1(1(0(2(1(2(x1))))))))))))))))))))))))))) 2(2(2(0(0(1(0(0(2(0(0(2(1(1(2(1(0(1(2(2(2(1(0(x1))))))))))))))))))))))) -> 1(2(2(2(2(0(1(2(1(2(0(1(2(1(2(1(0(1(0(1(0(1(1(2(2(1(0(x1))))))))))))))))))))))))))) encArg(cons_0(x_1)) -> 0(encArg(x_1)) encArg(cons_1(x_1)) -> 1(encArg(x_1)) encArg(cons_2(x_1)) -> 2(encArg(x_1)) encode_0(x_1) -> 0(encArg(x_1)) encode_1(x_1) -> 1(encArg(x_1)) encode_2(x_1) -> 2(encArg(x_1)) S is empty. Rewrite Strategy: FULL ---------------------------------------- (17) NonCtorToCtorProof (UPPER BOUND(ID)) transformed non-ctor to ctor-system ---------------------------------------- (18) Obligation: The Runtime Complexity (full) of the given CpxRelTRS could be proven to be BOUNDS(1, INF). The TRS R consists of the following rules: 1(c_2(c_0(c_0(c_2(c_0(c_1(c_2(c_2(c_0(c_2(c_1(c_2(c_1(c_2(c_0(c_1(c_0(c_1(c_2(c_0(c_2(c_1(x1))))))))))))))))))))))) -> 1(2(2(0(2(1(2(2(0(1(0(2(1(0(1(2(1(2(2(2(2(0(2(2(0(2(0(x1))))))))))))))))))))))))))) 1(c_1(c_0(c_2(c_1(c_2(c_2(c_2(c_2(c_1(c_0(c_1(c_2(c_0(c_1(c_2(c_1(c_1(c_0(c_2(c_1(c_2(c_0(x1))))))))))))))))))))))) -> 2(2(1(2(1(2(2(1(0(1(2(2(2(1(0(2(1(1(2(1(0(1(1(1(2(2(2(x1))))))))))))))))))))))))))) 2(c_2(c_1(c_1(c_1(c_0(c_0(c_2(c_1(c_0(c_2(c_1(c_2(c_0(c_0(c_2(c_1(c_0(c_1(c_1(c_2(c_2(c_1(x1))))))))))))))))))))))) -> 2(1(2(2(0(1(2(1(1(0(1(2(1(0(0(1(2(2(1(2(1(0(2(1(2(2(1(x1))))))))))))))))))))))))))) 2(c_2(c_1(c_1(c_2(c_0(c_0(c_2(c_2(c_2(c_2(c_1(c_1(c_1(c_1(c_1(c_2(c_1(c_2(c_0(c_0(c_1(c_1(x1))))))))))))))))))))))) -> 2(2(1(1(2(2(1(2(1(2(2(0(0(0(2(1(0(2(2(1(2(2(0(1(1(2(2(x1))))))))))))))))))))))))))) 0(c_0(c_2(c_0(c_2(c_2(c_1(c_2(c_1(c_1(c_2(c_1(c_1(c_2(c_1(c_0(c_0(c_0(c_0(c_1(c_1(c_2(c_1(x1))))))))))))))))))))))) -> 0(0(1(2(2(1(1(2(2(1(1(2(2(2(2(0(1(2(1(2(1(1(1(0(1(2(2(x1))))))))))))))))))))))))))) 2(c_1(c_0(c_1(c_0(c_0(c_2(c_2(c_2(c_0(c_1(c_0(c_0(c_2(c_0(c_0(c_1(c_2(c_0(c_2(c_2(c_2(c_0(x1))))))))))))))))))))))) -> 2(1(1(2(0(1(2(0(0(2(0(1(2(2(1(1(1(2(2(2(0(0(1(1(0(2(0(x1))))))))))))))))))))))))))) 0(c_1(c_1(c_1(c_2(c_2(c_1(c_0(c_0(c_2(c_2(c_2(c_2(c_0(c_2(c_0(c_0(c_0(c_0(c_1(c_0(c_0(c_2(x1))))))))))))))))))))))) -> 0(2(1(1(1(1(2(2(1(1(0(1(1(2(1(2(1(0(0(1(2(2(1(0(0(2(2(x1))))))))))))))))))))))))))) 0(c_1(c_1(c_0(c_1(c_1(c_1(c_2(c_2(c_0(c_2(c_0(c_1(c_2(c_2(c_2(c_0(c_1(c_2(c_0(c_1(c_0(c_2(x1))))))))))))))))))))))) -> 0(2(0(1(0(2(0(2(2(2(1(2(1(1(2(2(2(2(2(2(2(1(0(0(0(2(2(x1))))))))))))))))))))))))))) 2(c_0(c_2(c_0(c_1(c_0(c_1(c_1(c_2(c_0(c_1(c_1(c_2(c_2(c_1(c_0(c_2(c_0(c_2(c_0(c_2(c_2(c_2(x1))))))))))))))))))))))) -> 2(0(0(1(1(2(0(2(2(1(1(2(2(0(1(2(2(2(0(0(2(0(2(2(2(0(2(x1))))))))))))))))))))))))))) 2(c_2(c_0(c_1(c_2(c_2(c_2(c_0(c_2(c_2(c_2(c_0(c_2(c_2(c_2(c_2(c_1(c_0(c_1(c_0(c_0(c_1(c_0(x1))))))))))))))))))))))) -> 2(2(0(1(1(2(2(2(1(1(2(1(0(0(1(2(2(1(2(1(0(2(2(0(0(2(0(x1))))))))))))))))))))))))))) 2(c_2(c_1(c_1(c_1(c_2(c_0(c_1(c_1(c_2(c_2(c_0(c_1(c_1(c_1(c_1(c_1(c_2(c_2(c_2(c_0(c_2(c_1(x1))))))))))))))))))))))) -> 1(2(1(2(2(1(1(1(1(2(2(2(1(2(0(0(0(1(2(0(0(1(2(2(2(2(2(x1))))))))))))))))))))))))))) 2(c_1(c_1(c_0(c_2(c_2(c_2(c_0(c_1(c_2(c_1(c_1(c_0(c_1(c_2(c_0(c_0(c_1(c_1(c_1(c_1(c_2(c_2(x1))))))))))))))))))))))) -> 2(0(0(2(1(0(0(0(0(0(1(2(1(1(2(1(1(2(1(2(2(0(1(1(1(2(2(x1))))))))))))))))))))))))))) 2(c_2(c_1(c_2(c_1(c_2(c_2(c_2(c_0(c_1(c_2(c_1(c_2(c_2(c_2(c_2(c_1(c_1(c_0(c_1(c_0(c_1(c_0(x1))))))))))))))))))))))) -> 1(2(1(2(1(2(0(1(2(2(0(1(1(1(2(2(1(1(1(2(2(0(1(0(1(2(2(x1))))))))))))))))))))))))))) 1(c_1(c_0(c_1(c_2(c_2(c_2(c_2(c_1(c_0(c_2(c_1(c_2(c_0(c_0(c_0(c_1(c_0(c_2(c_1(c_1(c_1(c_2(x1))))))))))))))))))))))) -> 2(1(2(1(2(2(2(2(2(0(0(0(0(2(1(2(2(2(2(1(2(2(2(0(0(2(2(x1))))))))))))))))))))))))))) 2(c_0(c_2(c_0(c_1(c_2(c_2(c_0(c_0(c_2(c_2(c_2(c_1(c_1(c_1(c_2(c_1(c_0(c_2(c_0(c_2(c_2(c_0(x1))))))))))))))))))))))) -> 2(1(1(1(2(2(0(0(0(2(1(0(0(0(1(1(0(2(2(0(2(2(2(2(2(2(0(x1))))))))))))))))))))))))))) 2(c_2(c_0(c_0(c_2(c_1(c_2(c_0(c_1(c_2(c_0(c_2(c_1(c_0(c_1(c_1(c_2(c_2(c_1(c_0(c_1(c_0(c_2(x1))))))))))))))))))))))) -> 2(2(2(2(1(2(1(2(0(2(2(2(2(2(0(1(2(0(2(1(0(0(0(2(0(2(2(x1))))))))))))))))))))))))))) 1(c_1(c_2(c_2(c_1(c_0(c_2(c_0(c_1(c_1(c_2(c_2(c_2(c_1(c_0(c_1(c_0(c_0(c_2(c_1(c_1(c_0(c_2(x1))))))))))))))))))))))) -> 2(2(2(1(1(2(2(2(1(2(2(0(0(2(0(0(1(2(0(2(2(1(2(2(2(0(2(x1))))))))))))))))))))))))))) 0(c_1(c_0(c_0(c_1(c_2(c_2(c_1(c_0(c_1(c_2(c_1(c_2(c_0(c_1(c_0(c_2(c_2(c_0(c_1(c_2(c_1(c_0(x1))))))))))))))))))))))) -> 0(0(0(1(2(2(2(2(2(2(2(0(0(0(0(1(2(1(2(2(2(1(0(2(0(2(0(x1))))))))))))))))))))))))))) 0(c_0(c_1(c_2(c_0(c_1(c_0(c_0(c_2(c_0(c_1(c_1(c_0(c_1(c_2(c_1(c_1(c_2(c_2(c_1(c_1(c_0(c_2(x1))))))))))))))))))))))) -> 0(2(2(2(0(1(1(2(1(2(2(1(2(1(0(2(2(2(1(2(1(1(0(0(1(0(2(x1))))))))))))))))))))))))))) 1(c_0(c_1(c_0(c_2(c_2(c_2(c_2(c_1(c_0(c_0(c_2(c_0(c_2(c_1(c_2(c_1(c_2(c_1(c_1(c_2(c_0(c_2(x1))))))))))))))))))))))) -> 2(1(2(0(2(0(2(0(2(2(2(2(1(2(1(2(2(2(1(1(2(1(0(1(1(2(2(x1))))))))))))))))))))))))))) 1(c_1(c_1(c_0(c_2(c_2(c_1(c_1(c_1(c_2(c_2(c_0(c_2(c_0(c_2(c_1(c_1(c_2(c_1(c_2(c_1(c_2(c_2(x1))))))))))))))))))))))) -> 1(2(1(2(1(1(1(1(2(1(1(1(2(2(0(1(0(2(2(1(2(2(2(1(0(1(2(x1))))))))))))))))))))))))))) 2(c_2(c_2(c_0(c_0(c_1(c_0(c_0(c_2(c_0(c_0(c_2(c_1(c_1(c_2(c_1(c_0(c_1(c_2(c_2(c_2(c_1(c_0(x1))))))))))))))))))))))) -> 1(2(2(2(2(0(1(2(1(2(0(1(2(1(2(1(0(1(0(1(0(1(1(2(2(1(0(x1))))))))))))))))))))))))))) 1(c_0(c_0(c_1(c_0(c_1(c_1(c_0(c_2(c_1(c_1(c_2(c_1(c_2(c_1(c_2(c_0(c_1(c_2(c_2(c_1(c_2(c_1(x1))))))))))))))))))))))) -> 1(2(0(0(1(1(2(2(1(2(0(2(2(0(1(1(2(2(2(1(2(2(2(2(2(1(2(x1))))))))))))))))))))))))))) 2(c_1(c_0(c_1(c_1(c_2(c_0(c_0(c_2(c_1(c_0(c_0(c_0(c_1(c_2(c_1(c_1(c_2(c_0(c_2(c_1(c_2(c_1(x1))))))))))))))))))))))) -> 2(0(2(2(0(0(2(2(1(1(1(2(0(1(0(1(2(2(2(2(2(0(0(0(2(2(1(x1))))))))))))))))))))))))))) 2(c_2(c_1(c_2(c_2(c_0(c_0(c_2(c_1(c_1(c_0(c_2(c_2(c_0(c_2(c_2(c_0(c_2(c_2(c_1(c_2(c_0(c_2(x1))))))))))))))))))))))) -> 1(2(1(1(1(2(2(2(1(2(1(0(2(1(1(1(1(2(2(0(0(1(1(0(2(1(2(x1))))))))))))))))))))))))))) 1(c_2(c_2(c_2(c_1(c_1(c_0(c_0(c_2(c_2(c_2(c_0(c_0(c_0(c_2(c_1(c_2(c_2(c_0(c_2(c_0(c_2(c_0(x1))))))))))))))))))))))) -> 1(2(1(2(0(0(1(1(1(2(2(2(2(1(2(2(2(0(2(0(1(2(2(2(2(0(0(x1))))))))))))))))))))))))))) 2(c_2(c_0(c_0(c_1(c_2(c_1(c_1(c_2(c_1(c_0(c_0(c_0(c_0(c_0(c_2(c_1(c_2(c_1(c_1(c_2(c_0(c_2(x1))))))))))))))))))))))) -> 2(1(1(2(2(2(2(1(2(1(0(0(2(1(0(2(2(0(1(1(0(2(0(0(0(0(2(x1))))))))))))))))))))))))))) 0(c_1(c_1(c_1(c_1(c_2(c_1(c_1(c_2(c_2(c_0(c_1(c_0(c_1(c_1(c_0(c_2(c_0(c_0(c_2(c_0(c_1(c_0(x1))))))))))))))))))))))) -> 2(2(2(2(2(1(0(1(2(2(0(1(1(1(2(2(1(1(0(0(0(0(2(2(1(2(2(x1))))))))))))))))))))))))))) 1(c_2(c_0(c_2(c_1(c_2(c_2(c_1(c_2(c_2(c_2(c_0(c_1(c_1(c_1(c_1(c_0(c_1(c_0(c_0(c_2(c_0(c_1(x1))))))))))))))))))))))) -> 1(2(1(2(1(2(2(2(2(2(2(0(0(2(0(0(2(2(0(1(1(1(1(0(0(2(1(x1))))))))))))))))))))))))))) 1(c_1(c_0(c_2(c_1(c_0(c_2(c_0(c_1(c_2(c_0(c_2(c_0(c_0(c_2(c_1(c_0(c_1(c_0(c_1(c_2(c_1(c_2(x1))))))))))))))))))))))) -> 2(0(2(2(1(1(1(2(2(0(1(2(0(2(1(1(2(1(0(0(2(0(1(2(2(2(2(x1))))))))))))))))))))))))))) 0(c_1(c_2(c_1(c_1(c_2(c_2(c_2(c_1(c_1(c_0(c_0(c_1(c_0(c_2(c_0(c_2(c_2(c_1(c_0(c_2(c_1(c_1(x1))))))))))))))))))))))) -> 2(1(2(1(2(1(2(2(0(2(0(1(2(1(2(1(2(0(1(2(0(0(2(2(1(1(2(x1))))))))))))))))))))))))))) 2(c_0(c_1(c_0(c_0(c_0(c_1(c_0(c_0(c_0(c_0(c_0(c_0(c_0(c_1(c_0(c_2(c_0(c_0(c_2(c_2(c_2(c_2(x1))))))))))))))))))))))) -> 2(2(2(1(1(2(1(2(0(1(1(2(1(0(2(1(0(0(1(0(1(1(2(1(2(2(2(x1))))))))))))))))))))))))))) 0(c_0(c_1(c_0(c_2(c_2(c_1(c_2(c_0(c_0(c_1(c_2(c_0(c_2(c_2(c_2(c_1(c_1(c_2(c_0(c_0(c_2(c_1(x1))))))))))))))))))))))) -> 0(1(1(1(0(2(1(2(1(2(0(1(1(2(1(1(2(2(2(2(2(0(2(2(2(1(2(x1))))))))))))))))))))))))))) 2(c_2(c_0(c_0(c_1(c_0(c_1(c_2(c_2(c_2(c_1(c_1(c_0(c_0(c_1(c_2(c_2(c_1(c_2(c_0(c_1(c_2(c_1(x1))))))))))))))))))))))) -> 2(2(2(2(0(2(0(2(2(1(2(1(0(1(1(2(2(0(0(2(1(2(1(2(1(2(0(x1))))))))))))))))))))))))))) 0(c_0(c_0(c_0(c_1(c_0(c_0(c_2(c_2(c_1(c_0(c_2(c_0(c_2(c_1(c_1(c_2(c_1(c_2(c_2(c_0(c_1(c_1(x1))))))))))))))))))))))) -> 0(1(2(0(0(2(1(2(2(1(1(2(1(1(1(1(2(2(2(1(2(1(0(2(1(1(0(x1))))))))))))))))))))))))))) 0(c_0(c_0(c_2(c_2(c_0(c_2(c_2(c_2(c_1(c_1(c_0(c_2(c_2(c_1(c_2(c_1(c_0(c_2(c_0(c_0(c_0(c_1(x1))))))))))))))))))))))) -> 2(0(1(1(1(2(2(1(1(2(2(2(2(1(0(1(2(1(1(2(2(2(1(2(1(2(2(x1))))))))))))))))))))))))))) 2(c_2(c_1(c_1(c_2(c_2(c_1(c_2(c_1(c_1(c_1(c_0(c_0(c_2(c_1(c_1(c_0(c_2(c_0(c_0(c_1(c_1(c_2(x1))))))))))))))))))))))) -> 2(1(1(1(2(2(2(1(1(0(2(2(1(0(1(0(2(2(1(2(0(0(0(1(2(1(2(x1))))))))))))))))))))))))))) 1(c_1(c_0(c_0(c_1(c_1(c_1(c_2(c_2(c_2(c_1(c_2(c_1(c_0(c_0(c_0(c_2(c_2(c_2(c_0(c_1(c_2(c_0(x1))))))))))))))))))))))) -> 2(1(2(1(2(2(2(1(2(2(0(2(2(1(0(2(1(2(2(0(1(0(1(1(2(2(2(x1))))))))))))))))))))))))))) 2(c_2(c_0(c_1(c_1(c_0(c_0(c_1(c_2(c_1(c_0(c_2(c_1(c_2(c_2(c_2(c_1(c_0(c_0(c_2(c_2(c_2(c_0(x1))))))))))))))))))))))) -> 2(2(1(0(0(0(0(2(2(1(1(2(2(1(0(2(1(2(1(2(2(1(2(2(2(0(0(x1))))))))))))))))))))))))))) 2(c_1(c_2(c_1(c_0(c_2(c_1(c_2(c_0(c_0(c_0(c_0(c_2(c_0(c_0(c_0(c_2(c_2(c_0(c_0(c_0(c_0(c_1(x1))))))))))))))))))))))) -> 2(1(2(1(2(0(0(2(1(0(0(2(2(0(1(0(2(1(2(1(2(2(1(2(1(1(2(x1))))))))))))))))))))))))))) The (relative) TRS S consists of the following rules: encArg(cons_0(x_1)) -> 0(encArg(x_1)) encArg(cons_1(x_1)) -> 1(encArg(x_1)) encArg(cons_2(x_1)) -> 2(encArg(x_1)) encode_0(x_1) -> 0(encArg(x_1)) encode_1(x_1) -> 1(encArg(x_1)) encode_2(x_1) -> 2(encArg(x_1)) 0(x0) -> c_0(x0) 1(x0) -> c_1(x0) 2(x0) -> c_2(x0) Rewrite Strategy: FULL ---------------------------------------- (19) RcToIrcProof (BOTH BOUNDS(ID, ID)) Converted rc-obligation to irc-obligation. As the TRS is a non-duplicating overlay system, we have rc = irc. ---------------------------------------- (20) Obligation: The Runtime Complexity (innermost) of the given CpxRelTRS could be proven to be BOUNDS(1, INF). The TRS R consists of the following rules: 1(c_2(c_0(c_0(c_2(c_0(c_1(c_2(c_2(c_0(c_2(c_1(c_2(c_1(c_2(c_0(c_1(c_0(c_1(c_2(c_0(c_2(c_1(x1))))))))))))))))))))))) -> 1(2(2(0(2(1(2(2(0(1(0(2(1(0(1(2(1(2(2(2(2(0(2(2(0(2(0(x1))))))))))))))))))))))))))) 1(c_1(c_0(c_2(c_1(c_2(c_2(c_2(c_2(c_1(c_0(c_1(c_2(c_0(c_1(c_2(c_1(c_1(c_0(c_2(c_1(c_2(c_0(x1))))))))))))))))))))))) -> 2(2(1(2(1(2(2(1(0(1(2(2(2(1(0(2(1(1(2(1(0(1(1(1(2(2(2(x1))))))))))))))))))))))))))) 2(c_2(c_1(c_1(c_1(c_0(c_0(c_2(c_1(c_0(c_2(c_1(c_2(c_0(c_0(c_2(c_1(c_0(c_1(c_1(c_2(c_2(c_1(x1))))))))))))))))))))))) -> 2(1(2(2(0(1(2(1(1(0(1(2(1(0(0(1(2(2(1(2(1(0(2(1(2(2(1(x1))))))))))))))))))))))))))) 2(c_2(c_1(c_1(c_2(c_0(c_0(c_2(c_2(c_2(c_2(c_1(c_1(c_1(c_1(c_1(c_2(c_1(c_2(c_0(c_0(c_1(c_1(x1))))))))))))))))))))))) -> 2(2(1(1(2(2(1(2(1(2(2(0(0(0(2(1(0(2(2(1(2(2(0(1(1(2(2(x1))))))))))))))))))))))))))) 0(c_0(c_2(c_0(c_2(c_2(c_1(c_2(c_1(c_1(c_2(c_1(c_1(c_2(c_1(c_0(c_0(c_0(c_0(c_1(c_1(c_2(c_1(x1))))))))))))))))))))))) -> 0(0(1(2(2(1(1(2(2(1(1(2(2(2(2(0(1(2(1(2(1(1(1(0(1(2(2(x1))))))))))))))))))))))))))) 2(c_1(c_0(c_1(c_0(c_0(c_2(c_2(c_2(c_0(c_1(c_0(c_0(c_2(c_0(c_0(c_1(c_2(c_0(c_2(c_2(c_2(c_0(x1))))))))))))))))))))))) -> 2(1(1(2(0(1(2(0(0(2(0(1(2(2(1(1(1(2(2(2(0(0(1(1(0(2(0(x1))))))))))))))))))))))))))) 0(c_1(c_1(c_1(c_2(c_2(c_1(c_0(c_0(c_2(c_2(c_2(c_2(c_0(c_2(c_0(c_0(c_0(c_0(c_1(c_0(c_0(c_2(x1))))))))))))))))))))))) -> 0(2(1(1(1(1(2(2(1(1(0(1(1(2(1(2(1(0(0(1(2(2(1(0(0(2(2(x1))))))))))))))))))))))))))) 0(c_1(c_1(c_0(c_1(c_1(c_1(c_2(c_2(c_0(c_2(c_0(c_1(c_2(c_2(c_2(c_0(c_1(c_2(c_0(c_1(c_0(c_2(x1))))))))))))))))))))))) -> 0(2(0(1(0(2(0(2(2(2(1(2(1(1(2(2(2(2(2(2(2(1(0(0(0(2(2(x1))))))))))))))))))))))))))) 2(c_0(c_2(c_0(c_1(c_0(c_1(c_1(c_2(c_0(c_1(c_1(c_2(c_2(c_1(c_0(c_2(c_0(c_2(c_0(c_2(c_2(c_2(x1))))))))))))))))))))))) -> 2(0(0(1(1(2(0(2(2(1(1(2(2(0(1(2(2(2(0(0(2(0(2(2(2(0(2(x1))))))))))))))))))))))))))) 2(c_2(c_0(c_1(c_2(c_2(c_2(c_0(c_2(c_2(c_2(c_0(c_2(c_2(c_2(c_2(c_1(c_0(c_1(c_0(c_0(c_1(c_0(x1))))))))))))))))))))))) -> 2(2(0(1(1(2(2(2(1(1(2(1(0(0(1(2(2(1(2(1(0(2(2(0(0(2(0(x1))))))))))))))))))))))))))) 2(c_2(c_1(c_1(c_1(c_2(c_0(c_1(c_1(c_2(c_2(c_0(c_1(c_1(c_1(c_1(c_1(c_2(c_2(c_2(c_0(c_2(c_1(x1))))))))))))))))))))))) -> 1(2(1(2(2(1(1(1(1(2(2(2(1(2(0(0(0(1(2(0(0(1(2(2(2(2(2(x1))))))))))))))))))))))))))) 2(c_1(c_1(c_0(c_2(c_2(c_2(c_0(c_1(c_2(c_1(c_1(c_0(c_1(c_2(c_0(c_0(c_1(c_1(c_1(c_1(c_2(c_2(x1))))))))))))))))))))))) -> 2(0(0(2(1(0(0(0(0(0(1(2(1(1(2(1(1(2(1(2(2(0(1(1(1(2(2(x1))))))))))))))))))))))))))) 2(c_2(c_1(c_2(c_1(c_2(c_2(c_2(c_0(c_1(c_2(c_1(c_2(c_2(c_2(c_2(c_1(c_1(c_0(c_1(c_0(c_1(c_0(x1))))))))))))))))))))))) -> 1(2(1(2(1(2(0(1(2(2(0(1(1(1(2(2(1(1(1(2(2(0(1(0(1(2(2(x1))))))))))))))))))))))))))) 1(c_1(c_0(c_1(c_2(c_2(c_2(c_2(c_1(c_0(c_2(c_1(c_2(c_0(c_0(c_0(c_1(c_0(c_2(c_1(c_1(c_1(c_2(x1))))))))))))))))))))))) -> 2(1(2(1(2(2(2(2(2(0(0(0(0(2(1(2(2(2(2(1(2(2(2(0(0(2(2(x1))))))))))))))))))))))))))) 2(c_0(c_2(c_0(c_1(c_2(c_2(c_0(c_0(c_2(c_2(c_2(c_1(c_1(c_1(c_2(c_1(c_0(c_2(c_0(c_2(c_2(c_0(x1))))))))))))))))))))))) -> 2(1(1(1(2(2(0(0(0(2(1(0(0(0(1(1(0(2(2(0(2(2(2(2(2(2(0(x1))))))))))))))))))))))))))) 2(c_2(c_0(c_0(c_2(c_1(c_2(c_0(c_1(c_2(c_0(c_2(c_1(c_0(c_1(c_1(c_2(c_2(c_1(c_0(c_1(c_0(c_2(x1))))))))))))))))))))))) -> 2(2(2(2(1(2(1(2(0(2(2(2(2(2(0(1(2(0(2(1(0(0(0(2(0(2(2(x1))))))))))))))))))))))))))) 1(c_1(c_2(c_2(c_1(c_0(c_2(c_0(c_1(c_1(c_2(c_2(c_2(c_1(c_0(c_1(c_0(c_0(c_2(c_1(c_1(c_0(c_2(x1))))))))))))))))))))))) -> 2(2(2(1(1(2(2(2(1(2(2(0(0(2(0(0(1(2(0(2(2(1(2(2(2(0(2(x1))))))))))))))))))))))))))) 0(c_1(c_0(c_0(c_1(c_2(c_2(c_1(c_0(c_1(c_2(c_1(c_2(c_0(c_1(c_0(c_2(c_2(c_0(c_1(c_2(c_1(c_0(x1))))))))))))))))))))))) -> 0(0(0(1(2(2(2(2(2(2(2(0(0(0(0(1(2(1(2(2(2(1(0(2(0(2(0(x1))))))))))))))))))))))))))) 0(c_0(c_1(c_2(c_0(c_1(c_0(c_0(c_2(c_0(c_1(c_1(c_0(c_1(c_2(c_1(c_1(c_2(c_2(c_1(c_1(c_0(c_2(x1))))))))))))))))))))))) -> 0(2(2(2(0(1(1(2(1(2(2(1(2(1(0(2(2(2(1(2(1(1(0(0(1(0(2(x1))))))))))))))))))))))))))) 1(c_0(c_1(c_0(c_2(c_2(c_2(c_2(c_1(c_0(c_0(c_2(c_0(c_2(c_1(c_2(c_1(c_2(c_1(c_1(c_2(c_0(c_2(x1))))))))))))))))))))))) -> 2(1(2(0(2(0(2(0(2(2(2(2(1(2(1(2(2(2(1(1(2(1(0(1(1(2(2(x1))))))))))))))))))))))))))) 1(c_1(c_1(c_0(c_2(c_2(c_1(c_1(c_1(c_2(c_2(c_0(c_2(c_0(c_2(c_1(c_1(c_2(c_1(c_2(c_1(c_2(c_2(x1))))))))))))))))))))))) -> 1(2(1(2(1(1(1(1(2(1(1(1(2(2(0(1(0(2(2(1(2(2(2(1(0(1(2(x1))))))))))))))))))))))))))) 2(c_2(c_2(c_0(c_0(c_1(c_0(c_0(c_2(c_0(c_0(c_2(c_1(c_1(c_2(c_1(c_0(c_1(c_2(c_2(c_2(c_1(c_0(x1))))))))))))))))))))))) -> 1(2(2(2(2(0(1(2(1(2(0(1(2(1(2(1(0(1(0(1(0(1(1(2(2(1(0(x1))))))))))))))))))))))))))) 1(c_0(c_0(c_1(c_0(c_1(c_1(c_0(c_2(c_1(c_1(c_2(c_1(c_2(c_1(c_2(c_0(c_1(c_2(c_2(c_1(c_2(c_1(x1))))))))))))))))))))))) -> 1(2(0(0(1(1(2(2(1(2(0(2(2(0(1(1(2(2(2(1(2(2(2(2(2(1(2(x1))))))))))))))))))))))))))) 2(c_1(c_0(c_1(c_1(c_2(c_0(c_0(c_2(c_1(c_0(c_0(c_0(c_1(c_2(c_1(c_1(c_2(c_0(c_2(c_1(c_2(c_1(x1))))))))))))))))))))))) -> 2(0(2(2(0(0(2(2(1(1(1(2(0(1(0(1(2(2(2(2(2(0(0(0(2(2(1(x1))))))))))))))))))))))))))) 2(c_2(c_1(c_2(c_2(c_0(c_0(c_2(c_1(c_1(c_0(c_2(c_2(c_0(c_2(c_2(c_0(c_2(c_2(c_1(c_2(c_0(c_2(x1))))))))))))))))))))))) -> 1(2(1(1(1(2(2(2(1(2(1(0(2(1(1(1(1(2(2(0(0(1(1(0(2(1(2(x1))))))))))))))))))))))))))) 1(c_2(c_2(c_2(c_1(c_1(c_0(c_0(c_2(c_2(c_2(c_0(c_0(c_0(c_2(c_1(c_2(c_2(c_0(c_2(c_0(c_2(c_0(x1))))))))))))))))))))))) -> 1(2(1(2(0(0(1(1(1(2(2(2(2(1(2(2(2(0(2(0(1(2(2(2(2(0(0(x1))))))))))))))))))))))))))) 2(c_2(c_0(c_0(c_1(c_2(c_1(c_1(c_2(c_1(c_0(c_0(c_0(c_0(c_0(c_2(c_1(c_2(c_1(c_1(c_2(c_0(c_2(x1))))))))))))))))))))))) -> 2(1(1(2(2(2(2(1(2(1(0(0(2(1(0(2(2(0(1(1(0(2(0(0(0(0(2(x1))))))))))))))))))))))))))) 0(c_1(c_1(c_1(c_1(c_2(c_1(c_1(c_2(c_2(c_0(c_1(c_0(c_1(c_1(c_0(c_2(c_0(c_0(c_2(c_0(c_1(c_0(x1))))))))))))))))))))))) -> 2(2(2(2(2(1(0(1(2(2(0(1(1(1(2(2(1(1(0(0(0(0(2(2(1(2(2(x1))))))))))))))))))))))))))) 1(c_2(c_0(c_2(c_1(c_2(c_2(c_1(c_2(c_2(c_2(c_0(c_1(c_1(c_1(c_1(c_0(c_1(c_0(c_0(c_2(c_0(c_1(x1))))))))))))))))))))))) -> 1(2(1(2(1(2(2(2(2(2(2(0(0(2(0(0(2(2(0(1(1(1(1(0(0(2(1(x1))))))))))))))))))))))))))) 1(c_1(c_0(c_2(c_1(c_0(c_2(c_0(c_1(c_2(c_0(c_2(c_0(c_0(c_2(c_1(c_0(c_1(c_0(c_1(c_2(c_1(c_2(x1))))))))))))))))))))))) -> 2(0(2(2(1(1(1(2(2(0(1(2(0(2(1(1(2(1(0(0(2(0(1(2(2(2(2(x1))))))))))))))))))))))))))) 0(c_1(c_2(c_1(c_1(c_2(c_2(c_2(c_1(c_1(c_0(c_0(c_1(c_0(c_2(c_0(c_2(c_2(c_1(c_0(c_2(c_1(c_1(x1))))))))))))))))))))))) -> 2(1(2(1(2(1(2(2(0(2(0(1(2(1(2(1(2(0(1(2(0(0(2(2(1(1(2(x1))))))))))))))))))))))))))) 2(c_0(c_1(c_0(c_0(c_0(c_1(c_0(c_0(c_0(c_0(c_0(c_0(c_0(c_1(c_0(c_2(c_0(c_0(c_2(c_2(c_2(c_2(x1))))))))))))))))))))))) -> 2(2(2(1(1(2(1(2(0(1(1(2(1(0(2(1(0(0(1(0(1(1(2(1(2(2(2(x1))))))))))))))))))))))))))) 0(c_0(c_1(c_0(c_2(c_2(c_1(c_2(c_0(c_0(c_1(c_2(c_0(c_2(c_2(c_2(c_1(c_1(c_2(c_0(c_0(c_2(c_1(x1))))))))))))))))))))))) -> 0(1(1(1(0(2(1(2(1(2(0(1(1(2(1(1(2(2(2(2(2(0(2(2(2(1(2(x1))))))))))))))))))))))))))) 2(c_2(c_0(c_0(c_1(c_0(c_1(c_2(c_2(c_2(c_1(c_1(c_0(c_0(c_1(c_2(c_2(c_1(c_2(c_0(c_1(c_2(c_1(x1))))))))))))))))))))))) -> 2(2(2(2(0(2(0(2(2(1(2(1(0(1(1(2(2(0(0(2(1(2(1(2(1(2(0(x1))))))))))))))))))))))))))) 0(c_0(c_0(c_0(c_1(c_0(c_0(c_2(c_2(c_1(c_0(c_2(c_0(c_2(c_1(c_1(c_2(c_1(c_2(c_2(c_0(c_1(c_1(x1))))))))))))))))))))))) -> 0(1(2(0(0(2(1(2(2(1(1(2(1(1(1(1(2(2(2(1(2(1(0(2(1(1(0(x1))))))))))))))))))))))))))) 0(c_0(c_0(c_2(c_2(c_0(c_2(c_2(c_2(c_1(c_1(c_0(c_2(c_2(c_1(c_2(c_1(c_0(c_2(c_0(c_0(c_0(c_1(x1))))))))))))))))))))))) -> 2(0(1(1(1(2(2(1(1(2(2(2(2(1(0(1(2(1(1(2(2(2(1(2(1(2(2(x1))))))))))))))))))))))))))) 2(c_2(c_1(c_1(c_2(c_2(c_1(c_2(c_1(c_1(c_1(c_0(c_0(c_2(c_1(c_1(c_0(c_2(c_0(c_0(c_1(c_1(c_2(x1))))))))))))))))))))))) -> 2(1(1(1(2(2(2(1(1(0(2(2(1(0(1(0(2(2(1(2(0(0(0(1(2(1(2(x1))))))))))))))))))))))))))) 1(c_1(c_0(c_0(c_1(c_1(c_1(c_2(c_2(c_2(c_1(c_2(c_1(c_0(c_0(c_0(c_2(c_2(c_2(c_0(c_1(c_2(c_0(x1))))))))))))))))))))))) -> 2(1(2(1(2(2(2(1(2(2(0(2(2(1(0(2(1(2(2(0(1(0(1(1(2(2(2(x1))))))))))))))))))))))))))) 2(c_2(c_0(c_1(c_1(c_0(c_0(c_1(c_2(c_1(c_0(c_2(c_1(c_2(c_2(c_2(c_1(c_0(c_0(c_2(c_2(c_2(c_0(x1))))))))))))))))))))))) -> 2(2(1(0(0(0(0(2(2(1(1(2(2(1(0(2(1(2(1(2(2(1(2(2(2(0(0(x1))))))))))))))))))))))))))) 2(c_1(c_2(c_1(c_0(c_2(c_1(c_2(c_0(c_0(c_0(c_0(c_2(c_0(c_0(c_0(c_2(c_2(c_0(c_0(c_0(c_0(c_1(x1))))))))))))))))))))))) -> 2(1(2(1(2(0(0(2(1(0(0(2(2(0(1(0(2(1(2(1(2(2(1(2(1(1(2(x1))))))))))))))))))))))))))) The (relative) TRS S consists of the following rules: encArg(cons_0(x_1)) -> 0(encArg(x_1)) encArg(cons_1(x_1)) -> 1(encArg(x_1)) encArg(cons_2(x_1)) -> 2(encArg(x_1)) encode_0(x_1) -> 0(encArg(x_1)) encode_1(x_1) -> 1(encArg(x_1)) encode_2(x_1) -> 2(encArg(x_1)) 0(x0) -> c_0(x0) 1(x0) -> c_1(x0) 2(x0) -> c_2(x0) Rewrite Strategy: INNERMOST ---------------------------------------- (21) RelTrsToWeightedTrsProof (BOTH BOUNDS(ID, ID)) Transformed relative TRS to weighted TRS ---------------------------------------- (22) 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: 1(c_2(c_0(c_0(c_2(c_0(c_1(c_2(c_2(c_0(c_2(c_1(c_2(c_1(c_2(c_0(c_1(c_0(c_1(c_2(c_0(c_2(c_1(x1))))))))))))))))))))))) -> 1(2(2(0(2(1(2(2(0(1(0(2(1(0(1(2(1(2(2(2(2(0(2(2(0(2(0(x1))))))))))))))))))))))))))) [1] 1(c_1(c_0(c_2(c_1(c_2(c_2(c_2(c_2(c_1(c_0(c_1(c_2(c_0(c_1(c_2(c_1(c_1(c_0(c_2(c_1(c_2(c_0(x1))))))))))))))))))))))) -> 2(2(1(2(1(2(2(1(0(1(2(2(2(1(0(2(1(1(2(1(0(1(1(1(2(2(2(x1))))))))))))))))))))))))))) [1] 2(c_2(c_1(c_1(c_1(c_0(c_0(c_2(c_1(c_0(c_2(c_1(c_2(c_0(c_0(c_2(c_1(c_0(c_1(c_1(c_2(c_2(c_1(x1))))))))))))))))))))))) -> 2(1(2(2(0(1(2(1(1(0(1(2(1(0(0(1(2(2(1(2(1(0(2(1(2(2(1(x1))))))))))))))))))))))))))) [1] 2(c_2(c_1(c_1(c_2(c_0(c_0(c_2(c_2(c_2(c_2(c_1(c_1(c_1(c_1(c_1(c_2(c_1(c_2(c_0(c_0(c_1(c_1(x1))))))))))))))))))))))) -> 2(2(1(1(2(2(1(2(1(2(2(0(0(0(2(1(0(2(2(1(2(2(0(1(1(2(2(x1))))))))))))))))))))))))))) [1] 0(c_0(c_2(c_0(c_2(c_2(c_1(c_2(c_1(c_1(c_2(c_1(c_1(c_2(c_1(c_0(c_0(c_0(c_0(c_1(c_1(c_2(c_1(x1))))))))))))))))))))))) -> 0(0(1(2(2(1(1(2(2(1(1(2(2(2(2(0(1(2(1(2(1(1(1(0(1(2(2(x1))))))))))))))))))))))))))) [1] 2(c_1(c_0(c_1(c_0(c_0(c_2(c_2(c_2(c_0(c_1(c_0(c_0(c_2(c_0(c_0(c_1(c_2(c_0(c_2(c_2(c_2(c_0(x1))))))))))))))))))))))) -> 2(1(1(2(0(1(2(0(0(2(0(1(2(2(1(1(1(2(2(2(0(0(1(1(0(2(0(x1))))))))))))))))))))))))))) [1] 0(c_1(c_1(c_1(c_2(c_2(c_1(c_0(c_0(c_2(c_2(c_2(c_2(c_0(c_2(c_0(c_0(c_0(c_0(c_1(c_0(c_0(c_2(x1))))))))))))))))))))))) -> 0(2(1(1(1(1(2(2(1(1(0(1(1(2(1(2(1(0(0(1(2(2(1(0(0(2(2(x1))))))))))))))))))))))))))) [1] 0(c_1(c_1(c_0(c_1(c_1(c_1(c_2(c_2(c_0(c_2(c_0(c_1(c_2(c_2(c_2(c_0(c_1(c_2(c_0(c_1(c_0(c_2(x1))))))))))))))))))))))) -> 0(2(0(1(0(2(0(2(2(2(1(2(1(1(2(2(2(2(2(2(2(1(0(0(0(2(2(x1))))))))))))))))))))))))))) [1] 2(c_0(c_2(c_0(c_1(c_0(c_1(c_1(c_2(c_0(c_1(c_1(c_2(c_2(c_1(c_0(c_2(c_0(c_2(c_0(c_2(c_2(c_2(x1))))))))))))))))))))))) -> 2(0(0(1(1(2(0(2(2(1(1(2(2(0(1(2(2(2(0(0(2(0(2(2(2(0(2(x1))))))))))))))))))))))))))) [1] 2(c_2(c_0(c_1(c_2(c_2(c_2(c_0(c_2(c_2(c_2(c_0(c_2(c_2(c_2(c_2(c_1(c_0(c_1(c_0(c_0(c_1(c_0(x1))))))))))))))))))))))) -> 2(2(0(1(1(2(2(2(1(1(2(1(0(0(1(2(2(1(2(1(0(2(2(0(0(2(0(x1))))))))))))))))))))))))))) [1] 2(c_2(c_1(c_1(c_1(c_2(c_0(c_1(c_1(c_2(c_2(c_0(c_1(c_1(c_1(c_1(c_1(c_2(c_2(c_2(c_0(c_2(c_1(x1))))))))))))))))))))))) -> 1(2(1(2(2(1(1(1(1(2(2(2(1(2(0(0(0(1(2(0(0(1(2(2(2(2(2(x1))))))))))))))))))))))))))) [1] 2(c_1(c_1(c_0(c_2(c_2(c_2(c_0(c_1(c_2(c_1(c_1(c_0(c_1(c_2(c_0(c_0(c_1(c_1(c_1(c_1(c_2(c_2(x1))))))))))))))))))))))) -> 2(0(0(2(1(0(0(0(0(0(1(2(1(1(2(1(1(2(1(2(2(0(1(1(1(2(2(x1))))))))))))))))))))))))))) [1] 2(c_2(c_1(c_2(c_1(c_2(c_2(c_2(c_0(c_1(c_2(c_1(c_2(c_2(c_2(c_2(c_1(c_1(c_0(c_1(c_0(c_1(c_0(x1))))))))))))))))))))))) -> 1(2(1(2(1(2(0(1(2(2(0(1(1(1(2(2(1(1(1(2(2(0(1(0(1(2(2(x1))))))))))))))))))))))))))) [1] 1(c_1(c_0(c_1(c_2(c_2(c_2(c_2(c_1(c_0(c_2(c_1(c_2(c_0(c_0(c_0(c_1(c_0(c_2(c_1(c_1(c_1(c_2(x1))))))))))))))))))))))) -> 2(1(2(1(2(2(2(2(2(0(0(0(0(2(1(2(2(2(2(1(2(2(2(0(0(2(2(x1))))))))))))))))))))))))))) [1] 2(c_0(c_2(c_0(c_1(c_2(c_2(c_0(c_0(c_2(c_2(c_2(c_1(c_1(c_1(c_2(c_1(c_0(c_2(c_0(c_2(c_2(c_0(x1))))))))))))))))))))))) -> 2(1(1(1(2(2(0(0(0(2(1(0(0(0(1(1(0(2(2(0(2(2(2(2(2(2(0(x1))))))))))))))))))))))))))) [1] 2(c_2(c_0(c_0(c_2(c_1(c_2(c_0(c_1(c_2(c_0(c_2(c_1(c_0(c_1(c_1(c_2(c_2(c_1(c_0(c_1(c_0(c_2(x1))))))))))))))))))))))) -> 2(2(2(2(1(2(1(2(0(2(2(2(2(2(0(1(2(0(2(1(0(0(0(2(0(2(2(x1))))))))))))))))))))))))))) [1] 1(c_1(c_2(c_2(c_1(c_0(c_2(c_0(c_1(c_1(c_2(c_2(c_2(c_1(c_0(c_1(c_0(c_0(c_2(c_1(c_1(c_0(c_2(x1))))))))))))))))))))))) -> 2(2(2(1(1(2(2(2(1(2(2(0(0(2(0(0(1(2(0(2(2(1(2(2(2(0(2(x1))))))))))))))))))))))))))) [1] 0(c_1(c_0(c_0(c_1(c_2(c_2(c_1(c_0(c_1(c_2(c_1(c_2(c_0(c_1(c_0(c_2(c_2(c_0(c_1(c_2(c_1(c_0(x1))))))))))))))))))))))) -> 0(0(0(1(2(2(2(2(2(2(2(0(0(0(0(1(2(1(2(2(2(1(0(2(0(2(0(x1))))))))))))))))))))))))))) [1] 0(c_0(c_1(c_2(c_0(c_1(c_0(c_0(c_2(c_0(c_1(c_1(c_0(c_1(c_2(c_1(c_1(c_2(c_2(c_1(c_1(c_0(c_2(x1))))))))))))))))))))))) -> 0(2(2(2(0(1(1(2(1(2(2(1(2(1(0(2(2(2(1(2(1(1(0(0(1(0(2(x1))))))))))))))))))))))))))) [1] 1(c_0(c_1(c_0(c_2(c_2(c_2(c_2(c_1(c_0(c_0(c_2(c_0(c_2(c_1(c_2(c_1(c_2(c_1(c_1(c_2(c_0(c_2(x1))))))))))))))))))))))) -> 2(1(2(0(2(0(2(0(2(2(2(2(1(2(1(2(2(2(1(1(2(1(0(1(1(2(2(x1))))))))))))))))))))))))))) [1] 1(c_1(c_1(c_0(c_2(c_2(c_1(c_1(c_1(c_2(c_2(c_0(c_2(c_0(c_2(c_1(c_1(c_2(c_1(c_2(c_1(c_2(c_2(x1))))))))))))))))))))))) -> 1(2(1(2(1(1(1(1(2(1(1(1(2(2(0(1(0(2(2(1(2(2(2(1(0(1(2(x1))))))))))))))))))))))))))) [1] 2(c_2(c_2(c_0(c_0(c_1(c_0(c_0(c_2(c_0(c_0(c_2(c_1(c_1(c_2(c_1(c_0(c_1(c_2(c_2(c_2(c_1(c_0(x1))))))))))))))))))))))) -> 1(2(2(2(2(0(1(2(1(2(0(1(2(1(2(1(0(1(0(1(0(1(1(2(2(1(0(x1))))))))))))))))))))))))))) [1] 1(c_0(c_0(c_1(c_0(c_1(c_1(c_0(c_2(c_1(c_1(c_2(c_1(c_2(c_1(c_2(c_0(c_1(c_2(c_2(c_1(c_2(c_1(x1))))))))))))))))))))))) -> 1(2(0(0(1(1(2(2(1(2(0(2(2(0(1(1(2(2(2(1(2(2(2(2(2(1(2(x1))))))))))))))))))))))))))) [1] 2(c_1(c_0(c_1(c_1(c_2(c_0(c_0(c_2(c_1(c_0(c_0(c_0(c_1(c_2(c_1(c_1(c_2(c_0(c_2(c_1(c_2(c_1(x1))))))))))))))))))))))) -> 2(0(2(2(0(0(2(2(1(1(1(2(0(1(0(1(2(2(2(2(2(0(0(0(2(2(1(x1))))))))))))))))))))))))))) [1] 2(c_2(c_1(c_2(c_2(c_0(c_0(c_2(c_1(c_1(c_0(c_2(c_2(c_0(c_2(c_2(c_0(c_2(c_2(c_1(c_2(c_0(c_2(x1))))))))))))))))))))))) -> 1(2(1(1(1(2(2(2(1(2(1(0(2(1(1(1(1(2(2(0(0(1(1(0(2(1(2(x1))))))))))))))))))))))))))) [1] 1(c_2(c_2(c_2(c_1(c_1(c_0(c_0(c_2(c_2(c_2(c_0(c_0(c_0(c_2(c_1(c_2(c_2(c_0(c_2(c_0(c_2(c_0(x1))))))))))))))))))))))) -> 1(2(1(2(0(0(1(1(1(2(2(2(2(1(2(2(2(0(2(0(1(2(2(2(2(0(0(x1))))))))))))))))))))))))))) [1] 2(c_2(c_0(c_0(c_1(c_2(c_1(c_1(c_2(c_1(c_0(c_0(c_0(c_0(c_0(c_2(c_1(c_2(c_1(c_1(c_2(c_0(c_2(x1))))))))))))))))))))))) -> 2(1(1(2(2(2(2(1(2(1(0(0(2(1(0(2(2(0(1(1(0(2(0(0(0(0(2(x1))))))))))))))))))))))))))) [1] 0(c_1(c_1(c_1(c_1(c_2(c_1(c_1(c_2(c_2(c_0(c_1(c_0(c_1(c_1(c_0(c_2(c_0(c_0(c_2(c_0(c_1(c_0(x1))))))))))))))))))))))) -> 2(2(2(2(2(1(0(1(2(2(0(1(1(1(2(2(1(1(0(0(0(0(2(2(1(2(2(x1))))))))))))))))))))))))))) [1] 1(c_2(c_0(c_2(c_1(c_2(c_2(c_1(c_2(c_2(c_2(c_0(c_1(c_1(c_1(c_1(c_0(c_1(c_0(c_0(c_2(c_0(c_1(x1))))))))))))))))))))))) -> 1(2(1(2(1(2(2(2(2(2(2(0(0(2(0(0(2(2(0(1(1(1(1(0(0(2(1(x1))))))))))))))))))))))))))) [1] 1(c_1(c_0(c_2(c_1(c_0(c_2(c_0(c_1(c_2(c_0(c_2(c_0(c_0(c_2(c_1(c_0(c_1(c_0(c_1(c_2(c_1(c_2(x1))))))))))))))))))))))) -> 2(0(2(2(1(1(1(2(2(0(1(2(0(2(1(1(2(1(0(0(2(0(1(2(2(2(2(x1))))))))))))))))))))))))))) [1] 0(c_1(c_2(c_1(c_1(c_2(c_2(c_2(c_1(c_1(c_0(c_0(c_1(c_0(c_2(c_0(c_2(c_2(c_1(c_0(c_2(c_1(c_1(x1))))))))))))))))))))))) -> 2(1(2(1(2(1(2(2(0(2(0(1(2(1(2(1(2(0(1(2(0(0(2(2(1(1(2(x1))))))))))))))))))))))))))) [1] 2(c_0(c_1(c_0(c_0(c_0(c_1(c_0(c_0(c_0(c_0(c_0(c_0(c_0(c_1(c_0(c_2(c_0(c_0(c_2(c_2(c_2(c_2(x1))))))))))))))))))))))) -> 2(2(2(1(1(2(1(2(0(1(1(2(1(0(2(1(0(0(1(0(1(1(2(1(2(2(2(x1))))))))))))))))))))))))))) [1] 0(c_0(c_1(c_0(c_2(c_2(c_1(c_2(c_0(c_0(c_1(c_2(c_0(c_2(c_2(c_2(c_1(c_1(c_2(c_0(c_0(c_2(c_1(x1))))))))))))))))))))))) -> 0(1(1(1(0(2(1(2(1(2(0(1(1(2(1(1(2(2(2(2(2(0(2(2(2(1(2(x1))))))))))))))))))))))))))) [1] 2(c_2(c_0(c_0(c_1(c_0(c_1(c_2(c_2(c_2(c_1(c_1(c_0(c_0(c_1(c_2(c_2(c_1(c_2(c_0(c_1(c_2(c_1(x1))))))))))))))))))))))) -> 2(2(2(2(0(2(0(2(2(1(2(1(0(1(1(2(2(0(0(2(1(2(1(2(1(2(0(x1))))))))))))))))))))))))))) [1] 0(c_0(c_0(c_0(c_1(c_0(c_0(c_2(c_2(c_1(c_0(c_2(c_0(c_2(c_1(c_1(c_2(c_1(c_2(c_2(c_0(c_1(c_1(x1))))))))))))))))))))))) -> 0(1(2(0(0(2(1(2(2(1(1(2(1(1(1(1(2(2(2(1(2(1(0(2(1(1(0(x1))))))))))))))))))))))))))) [1] 0(c_0(c_0(c_2(c_2(c_0(c_2(c_2(c_2(c_1(c_1(c_0(c_2(c_2(c_1(c_2(c_1(c_0(c_2(c_0(c_0(c_0(c_1(x1))))))))))))))))))))))) -> 2(0(1(1(1(2(2(1(1(2(2(2(2(1(0(1(2(1(1(2(2(2(1(2(1(2(2(x1))))))))))))))))))))))))))) [1] 2(c_2(c_1(c_1(c_2(c_2(c_1(c_2(c_1(c_1(c_1(c_0(c_0(c_2(c_1(c_1(c_0(c_2(c_0(c_0(c_1(c_1(c_2(x1))))))))))))))))))))))) -> 2(1(1(1(2(2(2(1(1(0(2(2(1(0(1(0(2(2(1(2(0(0(0(1(2(1(2(x1))))))))))))))))))))))))))) [1] 1(c_1(c_0(c_0(c_1(c_1(c_1(c_2(c_2(c_2(c_1(c_2(c_1(c_0(c_0(c_0(c_2(c_2(c_2(c_0(c_1(c_2(c_0(x1))))))))))))))))))))))) -> 2(1(2(1(2(2(2(1(2(2(0(2(2(1(0(2(1(2(2(0(1(0(1(1(2(2(2(x1))))))))))))))))))))))))))) [1] 2(c_2(c_0(c_1(c_1(c_0(c_0(c_1(c_2(c_1(c_0(c_2(c_1(c_2(c_2(c_2(c_1(c_0(c_0(c_2(c_2(c_2(c_0(x1))))))))))))))))))))))) -> 2(2(1(0(0(0(0(2(2(1(1(2(2(1(0(2(1(2(1(2(2(1(2(2(2(0(0(x1))))))))))))))))))))))))))) [1] 2(c_1(c_2(c_1(c_0(c_2(c_1(c_2(c_0(c_0(c_0(c_0(c_2(c_0(c_0(c_0(c_2(c_2(c_0(c_0(c_0(c_0(c_1(x1))))))))))))))))))))))) -> 2(1(2(1(2(0(0(2(1(0(0(2(2(0(1(0(2(1(2(1(2(2(1(2(1(1(2(x1))))))))))))))))))))))))))) [1] encArg(cons_0(x_1)) -> 0(encArg(x_1)) [0] encArg(cons_1(x_1)) -> 1(encArg(x_1)) [0] encArg(cons_2(x_1)) -> 2(encArg(x_1)) [0] encode_0(x_1) -> 0(encArg(x_1)) [0] encode_1(x_1) -> 1(encArg(x_1)) [0] encode_2(x_1) -> 2(encArg(x_1)) [0] 0(x0) -> c_0(x0) [0] 1(x0) -> c_1(x0) [0] 2(x0) -> c_2(x0) [0] Rewrite Strategy: INNERMOST ---------------------------------------- (23) CpxWeightedTrsRenamingProof (BOTH BOUNDS(ID, ID)) Renamed defined symbols to avoid conflicts with arithmetic symbols: 1 => 1' 0 => 0' 2 => 2' ---------------------------------------- (24) 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: 1'(c_2(c_0(c_0(c_2(c_0(c_1(c_2(c_2(c_0(c_2(c_1(c_2(c_1(c_2(c_0(c_1(c_0(c_1(c_2(c_0(c_2(c_1(x1))))))))))))))))))))))) -> 1'(2'(2'(0'(2'(1'(2'(2'(0'(1'(0'(2'(1'(0'(1'(2'(1'(2'(2'(2'(2'(0'(2'(2'(0'(2'(0'(x1))))))))))))))))))))))))))) [1] 1'(c_1(c_0(c_2(c_1(c_2(c_2(c_2(c_2(c_1(c_0(c_1(c_2(c_0(c_1(c_2(c_1(c_1(c_0(c_2(c_1(c_2(c_0(x1))))))))))))))))))))))) -> 2'(2'(1'(2'(1'(2'(2'(1'(0'(1'(2'(2'(2'(1'(0'(2'(1'(1'(2'(1'(0'(1'(1'(1'(2'(2'(2'(x1))))))))))))))))))))))))))) [1] 2'(c_2(c_1(c_1(c_1(c_0(c_0(c_2(c_1(c_0(c_2(c_1(c_2(c_0(c_0(c_2(c_1(c_0(c_1(c_1(c_2(c_2(c_1(x1))))))))))))))))))))))) -> 2'(1'(2'(2'(0'(1'(2'(1'(1'(0'(1'(2'(1'(0'(0'(1'(2'(2'(1'(2'(1'(0'(2'(1'(2'(2'(1'(x1))))))))))))))))))))))))))) [1] 2'(c_2(c_1(c_1(c_2(c_0(c_0(c_2(c_2(c_2(c_2(c_1(c_1(c_1(c_1(c_1(c_2(c_1(c_2(c_0(c_0(c_1(c_1(x1))))))))))))))))))))))) -> 2'(2'(1'(1'(2'(2'(1'(2'(1'(2'(2'(0'(0'(0'(2'(1'(0'(2'(2'(1'(2'(2'(0'(1'(1'(2'(2'(x1))))))))))))))))))))))))))) [1] 0'(c_0(c_2(c_0(c_2(c_2(c_1(c_2(c_1(c_1(c_2(c_1(c_1(c_2(c_1(c_0(c_0(c_0(c_0(c_1(c_1(c_2(c_1(x1))))))))))))))))))))))) -> 0'(0'(1'(2'(2'(1'(1'(2'(2'(1'(1'(2'(2'(2'(2'(0'(1'(2'(1'(2'(1'(1'(1'(0'(1'(2'(2'(x1))))))))))))))))))))))))))) [1] 2'(c_1(c_0(c_1(c_0(c_0(c_2(c_2(c_2(c_0(c_1(c_0(c_0(c_2(c_0(c_0(c_1(c_2(c_0(c_2(c_2(c_2(c_0(x1))))))))))))))))))))))) -> 2'(1'(1'(2'(0'(1'(2'(0'(0'(2'(0'(1'(2'(2'(1'(1'(1'(2'(2'(2'(0'(0'(1'(1'(0'(2'(0'(x1))))))))))))))))))))))))))) [1] 0'(c_1(c_1(c_1(c_2(c_2(c_1(c_0(c_0(c_2(c_2(c_2(c_2(c_0(c_2(c_0(c_0(c_0(c_0(c_1(c_0(c_0(c_2(x1))))))))))))))))))))))) -> 0'(2'(1'(1'(1'(1'(2'(2'(1'(1'(0'(1'(1'(2'(1'(2'(1'(0'(0'(1'(2'(2'(1'(0'(0'(2'(2'(x1))))))))))))))))))))))))))) [1] 0'(c_1(c_1(c_0(c_1(c_1(c_1(c_2(c_2(c_0(c_2(c_0(c_1(c_2(c_2(c_2(c_0(c_1(c_2(c_0(c_1(c_0(c_2(x1))))))))))))))))))))))) -> 0'(2'(0'(1'(0'(2'(0'(2'(2'(2'(1'(2'(1'(1'(2'(2'(2'(2'(2'(2'(2'(1'(0'(0'(0'(2'(2'(x1))))))))))))))))))))))))))) [1] 2'(c_0(c_2(c_0(c_1(c_0(c_1(c_1(c_2(c_0(c_1(c_1(c_2(c_2(c_1(c_0(c_2(c_0(c_2(c_0(c_2(c_2(c_2(x1))))))))))))))))))))))) -> 2'(0'(0'(1'(1'(2'(0'(2'(2'(1'(1'(2'(2'(0'(1'(2'(2'(2'(0'(0'(2'(0'(2'(2'(2'(0'(2'(x1))))))))))))))))))))))))))) [1] 2'(c_2(c_0(c_1(c_2(c_2(c_2(c_0(c_2(c_2(c_2(c_0(c_2(c_2(c_2(c_2(c_1(c_0(c_1(c_0(c_0(c_1(c_0(x1))))))))))))))))))))))) -> 2'(2'(0'(1'(1'(2'(2'(2'(1'(1'(2'(1'(0'(0'(1'(2'(2'(1'(2'(1'(0'(2'(2'(0'(0'(2'(0'(x1))))))))))))))))))))))))))) [1] 2'(c_2(c_1(c_1(c_1(c_2(c_0(c_1(c_1(c_2(c_2(c_0(c_1(c_1(c_1(c_1(c_1(c_2(c_2(c_2(c_0(c_2(c_1(x1))))))))))))))))))))))) -> 1'(2'(1'(2'(2'(1'(1'(1'(1'(2'(2'(2'(1'(2'(0'(0'(0'(1'(2'(0'(0'(1'(2'(2'(2'(2'(2'(x1))))))))))))))))))))))))))) [1] 2'(c_1(c_1(c_0(c_2(c_2(c_2(c_0(c_1(c_2(c_1(c_1(c_0(c_1(c_2(c_0(c_0(c_1(c_1(c_1(c_1(c_2(c_2(x1))))))))))))))))))))))) -> 2'(0'(0'(2'(1'(0'(0'(0'(0'(0'(1'(2'(1'(1'(2'(1'(1'(2'(1'(2'(2'(0'(1'(1'(1'(2'(2'(x1))))))))))))))))))))))))))) [1] 2'(c_2(c_1(c_2(c_1(c_2(c_2(c_2(c_0(c_1(c_2(c_1(c_2(c_2(c_2(c_2(c_1(c_1(c_0(c_1(c_0(c_1(c_0(x1))))))))))))))))))))))) -> 1'(2'(1'(2'(1'(2'(0'(1'(2'(2'(0'(1'(1'(1'(2'(2'(1'(1'(1'(2'(2'(0'(1'(0'(1'(2'(2'(x1))))))))))))))))))))))))))) [1] 1'(c_1(c_0(c_1(c_2(c_2(c_2(c_2(c_1(c_0(c_2(c_1(c_2(c_0(c_0(c_0(c_1(c_0(c_2(c_1(c_1(c_1(c_2(x1))))))))))))))))))))))) -> 2'(1'(2'(1'(2'(2'(2'(2'(2'(0'(0'(0'(0'(2'(1'(2'(2'(2'(2'(1'(2'(2'(2'(0'(0'(2'(2'(x1))))))))))))))))))))))))))) [1] 2'(c_0(c_2(c_0(c_1(c_2(c_2(c_0(c_0(c_2(c_2(c_2(c_1(c_1(c_1(c_2(c_1(c_0(c_2(c_0(c_2(c_2(c_0(x1))))))))))))))))))))))) -> 2'(1'(1'(1'(2'(2'(0'(0'(0'(2'(1'(0'(0'(0'(1'(1'(0'(2'(2'(0'(2'(2'(2'(2'(2'(2'(0'(x1))))))))))))))))))))))))))) [1] 2'(c_2(c_0(c_0(c_2(c_1(c_2(c_0(c_1(c_2(c_0(c_2(c_1(c_0(c_1(c_1(c_2(c_2(c_1(c_0(c_1(c_0(c_2(x1))))))))))))))))))))))) -> 2'(2'(2'(2'(1'(2'(1'(2'(0'(2'(2'(2'(2'(2'(0'(1'(2'(0'(2'(1'(0'(0'(0'(2'(0'(2'(2'(x1))))))))))))))))))))))))))) [1] 1'(c_1(c_2(c_2(c_1(c_0(c_2(c_0(c_1(c_1(c_2(c_2(c_2(c_1(c_0(c_1(c_0(c_0(c_2(c_1(c_1(c_0(c_2(x1))))))))))))))))))))))) -> 2'(2'(2'(1'(1'(2'(2'(2'(1'(2'(2'(0'(0'(2'(0'(0'(1'(2'(0'(2'(2'(1'(2'(2'(2'(0'(2'(x1))))))))))))))))))))))))))) [1] 0'(c_1(c_0(c_0(c_1(c_2(c_2(c_1(c_0(c_1(c_2(c_1(c_2(c_0(c_1(c_0(c_2(c_2(c_0(c_1(c_2(c_1(c_0(x1))))))))))))))))))))))) -> 0'(0'(0'(1'(2'(2'(2'(2'(2'(2'(2'(0'(0'(0'(0'(1'(2'(1'(2'(2'(2'(1'(0'(2'(0'(2'(0'(x1))))))))))))))))))))))))))) [1] 0'(c_0(c_1(c_2(c_0(c_1(c_0(c_0(c_2(c_0(c_1(c_1(c_0(c_1(c_2(c_1(c_1(c_2(c_2(c_1(c_1(c_0(c_2(x1))))))))))))))))))))))) -> 0'(2'(2'(2'(0'(1'(1'(2'(1'(2'(2'(1'(2'(1'(0'(2'(2'(2'(1'(2'(1'(1'(0'(0'(1'(0'(2'(x1))))))))))))))))))))))))))) [1] 1'(c_0(c_1(c_0(c_2(c_2(c_2(c_2(c_1(c_0(c_0(c_2(c_0(c_2(c_1(c_2(c_1(c_2(c_1(c_1(c_2(c_0(c_2(x1))))))))))))))))))))))) -> 2'(1'(2'(0'(2'(0'(2'(0'(2'(2'(2'(2'(1'(2'(1'(2'(2'(2'(1'(1'(2'(1'(0'(1'(1'(2'(2'(x1))))))))))))))))))))))))))) [1] 1'(c_1(c_1(c_0(c_2(c_2(c_1(c_1(c_1(c_2(c_2(c_0(c_2(c_0(c_2(c_1(c_1(c_2(c_1(c_2(c_1(c_2(c_2(x1))))))))))))))))))))))) -> 1'(2'(1'(2'(1'(1'(1'(1'(2'(1'(1'(1'(2'(2'(0'(1'(0'(2'(2'(1'(2'(2'(2'(1'(0'(1'(2'(x1))))))))))))))))))))))))))) [1] 2'(c_2(c_2(c_0(c_0(c_1(c_0(c_0(c_2(c_0(c_0(c_2(c_1(c_1(c_2(c_1(c_0(c_1(c_2(c_2(c_2(c_1(c_0(x1))))))))))))))))))))))) -> 1'(2'(2'(2'(2'(0'(1'(2'(1'(2'(0'(1'(2'(1'(2'(1'(0'(1'(0'(1'(0'(1'(1'(2'(2'(1'(0'(x1))))))))))))))))))))))))))) [1] 1'(c_0(c_0(c_1(c_0(c_1(c_1(c_0(c_2(c_1(c_1(c_2(c_1(c_2(c_1(c_2(c_0(c_1(c_2(c_2(c_1(c_2(c_1(x1))))))))))))))))))))))) -> 1'(2'(0'(0'(1'(1'(2'(2'(1'(2'(0'(2'(2'(0'(1'(1'(2'(2'(2'(1'(2'(2'(2'(2'(2'(1'(2'(x1))))))))))))))))))))))))))) [1] 2'(c_1(c_0(c_1(c_1(c_2(c_0(c_0(c_2(c_1(c_0(c_0(c_0(c_1(c_2(c_1(c_1(c_2(c_0(c_2(c_1(c_2(c_1(x1))))))))))))))))))))))) -> 2'(0'(2'(2'(0'(0'(2'(2'(1'(1'(1'(2'(0'(1'(0'(1'(2'(2'(2'(2'(2'(0'(0'(0'(2'(2'(1'(x1))))))))))))))))))))))))))) [1] 2'(c_2(c_1(c_2(c_2(c_0(c_0(c_2(c_1(c_1(c_0(c_2(c_2(c_0(c_2(c_2(c_0(c_2(c_2(c_1(c_2(c_0(c_2(x1))))))))))))))))))))))) -> 1'(2'(1'(1'(1'(2'(2'(2'(1'(2'(1'(0'(2'(1'(1'(1'(1'(2'(2'(0'(0'(1'(1'(0'(2'(1'(2'(x1))))))))))))))))))))))))))) [1] 1'(c_2(c_2(c_2(c_1(c_1(c_0(c_0(c_2(c_2(c_2(c_0(c_0(c_0(c_2(c_1(c_2(c_2(c_0(c_2(c_0(c_2(c_0(x1))))))))))))))))))))))) -> 1'(2'(1'(2'(0'(0'(1'(1'(1'(2'(2'(2'(2'(1'(2'(2'(2'(0'(2'(0'(1'(2'(2'(2'(2'(0'(0'(x1))))))))))))))))))))))))))) [1] 2'(c_2(c_0(c_0(c_1(c_2(c_1(c_1(c_2(c_1(c_0(c_0(c_0(c_0(c_0(c_2(c_1(c_2(c_1(c_1(c_2(c_0(c_2(x1))))))))))))))))))))))) -> 2'(1'(1'(2'(2'(2'(2'(1'(2'(1'(0'(0'(2'(1'(0'(2'(2'(0'(1'(1'(0'(2'(0'(0'(0'(0'(2'(x1))))))))))))))))))))))))))) [1] 0'(c_1(c_1(c_1(c_1(c_2(c_1(c_1(c_2(c_2(c_0(c_1(c_0(c_1(c_1(c_0(c_2(c_0(c_0(c_2(c_0(c_1(c_0(x1))))))))))))))))))))))) -> 2'(2'(2'(2'(2'(1'(0'(1'(2'(2'(0'(1'(1'(1'(2'(2'(1'(1'(0'(0'(0'(0'(2'(2'(1'(2'(2'(x1))))))))))))))))))))))))))) [1] 1'(c_2(c_0(c_2(c_1(c_2(c_2(c_1(c_2(c_2(c_2(c_0(c_1(c_1(c_1(c_1(c_0(c_1(c_0(c_0(c_2(c_0(c_1(x1))))))))))))))))))))))) -> 1'(2'(1'(2'(1'(2'(2'(2'(2'(2'(2'(0'(0'(2'(0'(0'(2'(2'(0'(1'(1'(1'(1'(0'(0'(2'(1'(x1))))))))))))))))))))))))))) [1] 1'(c_1(c_0(c_2(c_1(c_0(c_2(c_0(c_1(c_2(c_0(c_2(c_0(c_0(c_2(c_1(c_0(c_1(c_0(c_1(c_2(c_1(c_2(x1))))))))))))))))))))))) -> 2'(0'(2'(2'(1'(1'(1'(2'(2'(0'(1'(2'(0'(2'(1'(1'(2'(1'(0'(0'(2'(0'(1'(2'(2'(2'(2'(x1))))))))))))))))))))))))))) [1] 0'(c_1(c_2(c_1(c_1(c_2(c_2(c_2(c_1(c_1(c_0(c_0(c_1(c_0(c_2(c_0(c_2(c_2(c_1(c_0(c_2(c_1(c_1(x1))))))))))))))))))))))) -> 2'(1'(2'(1'(2'(1'(2'(2'(0'(2'(0'(1'(2'(1'(2'(1'(2'(0'(1'(2'(0'(0'(2'(2'(1'(1'(2'(x1))))))))))))))))))))))))))) [1] 2'(c_0(c_1(c_0(c_0(c_0(c_1(c_0(c_0(c_0(c_0(c_0(c_0(c_0(c_1(c_0(c_2(c_0(c_0(c_2(c_2(c_2(c_2(x1))))))))))))))))))))))) -> 2'(2'(2'(1'(1'(2'(1'(2'(0'(1'(1'(2'(1'(0'(2'(1'(0'(0'(1'(0'(1'(1'(2'(1'(2'(2'(2'(x1))))))))))))))))))))))))))) [1] 0'(c_0(c_1(c_0(c_2(c_2(c_1(c_2(c_0(c_0(c_1(c_2(c_0(c_2(c_2(c_2(c_1(c_1(c_2(c_0(c_0(c_2(c_1(x1))))))))))))))))))))))) -> 0'(1'(1'(1'(0'(2'(1'(2'(1'(2'(0'(1'(1'(2'(1'(1'(2'(2'(2'(2'(2'(0'(2'(2'(2'(1'(2'(x1))))))))))))))))))))))))))) [1] 2'(c_2(c_0(c_0(c_1(c_0(c_1(c_2(c_2(c_2(c_1(c_1(c_0(c_0(c_1(c_2(c_2(c_1(c_2(c_0(c_1(c_2(c_1(x1))))))))))))))))))))))) -> 2'(2'(2'(2'(0'(2'(0'(2'(2'(1'(2'(1'(0'(1'(1'(2'(2'(0'(0'(2'(1'(2'(1'(2'(1'(2'(0'(x1))))))))))))))))))))))))))) [1] 0'(c_0(c_0(c_0(c_1(c_0(c_0(c_2(c_2(c_1(c_0(c_2(c_0(c_2(c_1(c_1(c_2(c_1(c_2(c_2(c_0(c_1(c_1(x1))))))))))))))))))))))) -> 0'(1'(2'(0'(0'(2'(1'(2'(2'(1'(1'(2'(1'(1'(1'(1'(2'(2'(2'(1'(2'(1'(0'(2'(1'(1'(0'(x1))))))))))))))))))))))))))) [1] 0'(c_0(c_0(c_2(c_2(c_0(c_2(c_2(c_2(c_1(c_1(c_0(c_2(c_2(c_1(c_2(c_1(c_0(c_2(c_0(c_0(c_0(c_1(x1))))))))))))))))))))))) -> 2'(0'(1'(1'(1'(2'(2'(1'(1'(2'(2'(2'(2'(1'(0'(1'(2'(1'(1'(2'(2'(2'(1'(2'(1'(2'(2'(x1))))))))))))))))))))))))))) [1] 2'(c_2(c_1(c_1(c_2(c_2(c_1(c_2(c_1(c_1(c_1(c_0(c_0(c_2(c_1(c_1(c_0(c_2(c_0(c_0(c_1(c_1(c_2(x1))))))))))))))))))))))) -> 2'(1'(1'(1'(2'(2'(2'(1'(1'(0'(2'(2'(1'(0'(1'(0'(2'(2'(1'(2'(0'(0'(0'(1'(2'(1'(2'(x1))))))))))))))))))))))))))) [1] 1'(c_1(c_0(c_0(c_1(c_1(c_1(c_2(c_2(c_2(c_1(c_2(c_1(c_0(c_0(c_0(c_2(c_2(c_2(c_0(c_1(c_2(c_0(x1))))))))))))))))))))))) -> 2'(1'(2'(1'(2'(2'(2'(1'(2'(2'(0'(2'(2'(1'(0'(2'(1'(2'(2'(0'(1'(0'(1'(1'(2'(2'(2'(x1))))))))))))))))))))))))))) [1] 2'(c_2(c_0(c_1(c_1(c_0(c_0(c_1(c_2(c_1(c_0(c_2(c_1(c_2(c_2(c_2(c_1(c_0(c_0(c_2(c_2(c_2(c_0(x1))))))))))))))))))))))) -> 2'(2'(1'(0'(0'(0'(0'(2'(2'(1'(1'(2'(2'(1'(0'(2'(1'(2'(1'(2'(2'(1'(2'(2'(2'(0'(0'(x1))))))))))))))))))))))))))) [1] 2'(c_1(c_2(c_1(c_0(c_2(c_1(c_2(c_0(c_0(c_0(c_0(c_2(c_0(c_0(c_0(c_2(c_2(c_0(c_0(c_0(c_0(c_1(x1))))))))))))))))))))))) -> 2'(1'(2'(1'(2'(0'(0'(2'(1'(0'(0'(2'(2'(0'(1'(0'(2'(1'(2'(1'(2'(2'(1'(2'(1'(1'(2'(x1))))))))))))))))))))))))))) [1] encArg(cons_0(x_1)) -> 0'(encArg(x_1)) [0] encArg(cons_1(x_1)) -> 1'(encArg(x_1)) [0] encArg(cons_2(x_1)) -> 2'(encArg(x_1)) [0] encode_0(x_1) -> 0'(encArg(x_1)) [0] encode_1(x_1) -> 1'(encArg(x_1)) [0] encode_2(x_1) -> 2'(encArg(x_1)) [0] 0'(x0) -> c_0(x0) [0] 1'(x0) -> c_1(x0) [0] 2'(x0) -> c_2(x0) [0] Rewrite Strategy: INNERMOST ---------------------------------------- (25) TypeInferenceProof (BOTH BOUNDS(ID, ID)) Infered types. ---------------------------------------- (26) Obligation: Runtime Complexity Weighted TRS with Types. The TRS R consists of the following rules: 1'(c_2(c_0(c_0(c_2(c_0(c_1(c_2(c_2(c_0(c_2(c_1(c_2(c_1(c_2(c_0(c_1(c_0(c_1(c_2(c_0(c_2(c_1(x1))))))))))))))))))))))) -> 1'(2'(2'(0'(2'(1'(2'(2'(0'(1'(0'(2'(1'(0'(1'(2'(1'(2'(2'(2'(2'(0'(2'(2'(0'(2'(0'(x1))))))))))))))))))))))))))) [1] 1'(c_1(c_0(c_2(c_1(c_2(c_2(c_2(c_2(c_1(c_0(c_1(c_2(c_0(c_1(c_2(c_1(c_1(c_0(c_2(c_1(c_2(c_0(x1))))))))))))))))))))))) -> 2'(2'(1'(2'(1'(2'(2'(1'(0'(1'(2'(2'(2'(1'(0'(2'(1'(1'(2'(1'(0'(1'(1'(1'(2'(2'(2'(x1))))))))))))))))))))))))))) [1] 2'(c_2(c_1(c_1(c_1(c_0(c_0(c_2(c_1(c_0(c_2(c_1(c_2(c_0(c_0(c_2(c_1(c_0(c_1(c_1(c_2(c_2(c_1(x1))))))))))))))))))))))) -> 2'(1'(2'(2'(0'(1'(2'(1'(1'(0'(1'(2'(1'(0'(0'(1'(2'(2'(1'(2'(1'(0'(2'(1'(2'(2'(1'(x1))))))))))))))))))))))))))) [1] 2'(c_2(c_1(c_1(c_2(c_0(c_0(c_2(c_2(c_2(c_2(c_1(c_1(c_1(c_1(c_1(c_2(c_1(c_2(c_0(c_0(c_1(c_1(x1))))))))))))))))))))))) -> 2'(2'(1'(1'(2'(2'(1'(2'(1'(2'(2'(0'(0'(0'(2'(1'(0'(2'(2'(1'(2'(2'(0'(1'(1'(2'(2'(x1))))))))))))))))))))))))))) [1] 0'(c_0(c_2(c_0(c_2(c_2(c_1(c_2(c_1(c_1(c_2(c_1(c_1(c_2(c_1(c_0(c_0(c_0(c_0(c_1(c_1(c_2(c_1(x1))))))))))))))))))))))) -> 0'(0'(1'(2'(2'(1'(1'(2'(2'(1'(1'(2'(2'(2'(2'(0'(1'(2'(1'(2'(1'(1'(1'(0'(1'(2'(2'(x1))))))))))))))))))))))))))) [1] 2'(c_1(c_0(c_1(c_0(c_0(c_2(c_2(c_2(c_0(c_1(c_0(c_0(c_2(c_0(c_0(c_1(c_2(c_0(c_2(c_2(c_2(c_0(x1))))))))))))))))))))))) -> 2'(1'(1'(2'(0'(1'(2'(0'(0'(2'(0'(1'(2'(2'(1'(1'(1'(2'(2'(2'(0'(0'(1'(1'(0'(2'(0'(x1))))))))))))))))))))))))))) [1] 0'(c_1(c_1(c_1(c_2(c_2(c_1(c_0(c_0(c_2(c_2(c_2(c_2(c_0(c_2(c_0(c_0(c_0(c_0(c_1(c_0(c_0(c_2(x1))))))))))))))))))))))) -> 0'(2'(1'(1'(1'(1'(2'(2'(1'(1'(0'(1'(1'(2'(1'(2'(1'(0'(0'(1'(2'(2'(1'(0'(0'(2'(2'(x1))))))))))))))))))))))))))) [1] 0'(c_1(c_1(c_0(c_1(c_1(c_1(c_2(c_2(c_0(c_2(c_0(c_1(c_2(c_2(c_2(c_0(c_1(c_2(c_0(c_1(c_0(c_2(x1))))))))))))))))))))))) -> 0'(2'(0'(1'(0'(2'(0'(2'(2'(2'(1'(2'(1'(1'(2'(2'(2'(2'(2'(2'(2'(1'(0'(0'(0'(2'(2'(x1))))))))))))))))))))))))))) [1] 2'(c_0(c_2(c_0(c_1(c_0(c_1(c_1(c_2(c_0(c_1(c_1(c_2(c_2(c_1(c_0(c_2(c_0(c_2(c_0(c_2(c_2(c_2(x1))))))))))))))))))))))) -> 2'(0'(0'(1'(1'(2'(0'(2'(2'(1'(1'(2'(2'(0'(1'(2'(2'(2'(0'(0'(2'(0'(2'(2'(2'(0'(2'(x1))))))))))))))))))))))))))) [1] 2'(c_2(c_0(c_1(c_2(c_2(c_2(c_0(c_2(c_2(c_2(c_0(c_2(c_2(c_2(c_2(c_1(c_0(c_1(c_0(c_0(c_1(c_0(x1))))))))))))))))))))))) -> 2'(2'(0'(1'(1'(2'(2'(2'(1'(1'(2'(1'(0'(0'(1'(2'(2'(1'(2'(1'(0'(2'(2'(0'(0'(2'(0'(x1))))))))))))))))))))))))))) [1] 2'(c_2(c_1(c_1(c_1(c_2(c_0(c_1(c_1(c_2(c_2(c_0(c_1(c_1(c_1(c_1(c_1(c_2(c_2(c_2(c_0(c_2(c_1(x1))))))))))))))))))))))) -> 1'(2'(1'(2'(2'(1'(1'(1'(1'(2'(2'(2'(1'(2'(0'(0'(0'(1'(2'(0'(0'(1'(2'(2'(2'(2'(2'(x1))))))))))))))))))))))))))) [1] 2'(c_1(c_1(c_0(c_2(c_2(c_2(c_0(c_1(c_2(c_1(c_1(c_0(c_1(c_2(c_0(c_0(c_1(c_1(c_1(c_1(c_2(c_2(x1))))))))))))))))))))))) -> 2'(0'(0'(2'(1'(0'(0'(0'(0'(0'(1'(2'(1'(1'(2'(1'(1'(2'(1'(2'(2'(0'(1'(1'(1'(2'(2'(x1))))))))))))))))))))))))))) [1] 2'(c_2(c_1(c_2(c_1(c_2(c_2(c_2(c_0(c_1(c_2(c_1(c_2(c_2(c_2(c_2(c_1(c_1(c_0(c_1(c_0(c_1(c_0(x1))))))))))))))))))))))) -> 1'(2'(1'(2'(1'(2'(0'(1'(2'(2'(0'(1'(1'(1'(2'(2'(1'(1'(1'(2'(2'(0'(1'(0'(1'(2'(2'(x1))))))))))))))))))))))))))) [1] 1'(c_1(c_0(c_1(c_2(c_2(c_2(c_2(c_1(c_0(c_2(c_1(c_2(c_0(c_0(c_0(c_1(c_0(c_2(c_1(c_1(c_1(c_2(x1))))))))))))))))))))))) -> 2'(1'(2'(1'(2'(2'(2'(2'(2'(0'(0'(0'(0'(2'(1'(2'(2'(2'(2'(1'(2'(2'(2'(0'(0'(2'(2'(x1))))))))))))))))))))))))))) [1] 2'(c_0(c_2(c_0(c_1(c_2(c_2(c_0(c_0(c_2(c_2(c_2(c_1(c_1(c_1(c_2(c_1(c_0(c_2(c_0(c_2(c_2(c_0(x1))))))))))))))))))))))) -> 2'(1'(1'(1'(2'(2'(0'(0'(0'(2'(1'(0'(0'(0'(1'(1'(0'(2'(2'(0'(2'(2'(2'(2'(2'(2'(0'(x1))))))))))))))))))))))))))) [1] 2'(c_2(c_0(c_0(c_2(c_1(c_2(c_0(c_1(c_2(c_0(c_2(c_1(c_0(c_1(c_1(c_2(c_2(c_1(c_0(c_1(c_0(c_2(x1))))))))))))))))))))))) -> 2'(2'(2'(2'(1'(2'(1'(2'(0'(2'(2'(2'(2'(2'(0'(1'(2'(0'(2'(1'(0'(0'(0'(2'(0'(2'(2'(x1))))))))))))))))))))))))))) [1] 1'(c_1(c_2(c_2(c_1(c_0(c_2(c_0(c_1(c_1(c_2(c_2(c_2(c_1(c_0(c_1(c_0(c_0(c_2(c_1(c_1(c_0(c_2(x1))))))))))))))))))))))) -> 2'(2'(2'(1'(1'(2'(2'(2'(1'(2'(2'(0'(0'(2'(0'(0'(1'(2'(0'(2'(2'(1'(2'(2'(2'(0'(2'(x1))))))))))))))))))))))))))) [1] 0'(c_1(c_0(c_0(c_1(c_2(c_2(c_1(c_0(c_1(c_2(c_1(c_2(c_0(c_1(c_0(c_2(c_2(c_0(c_1(c_2(c_1(c_0(x1))))))))))))))))))))))) -> 0'(0'(0'(1'(2'(2'(2'(2'(2'(2'(2'(0'(0'(0'(0'(1'(2'(1'(2'(2'(2'(1'(0'(2'(0'(2'(0'(x1))))))))))))))))))))))))))) [1] 0'(c_0(c_1(c_2(c_0(c_1(c_0(c_0(c_2(c_0(c_1(c_1(c_0(c_1(c_2(c_1(c_1(c_2(c_2(c_1(c_1(c_0(c_2(x1))))))))))))))))))))))) -> 0'(2'(2'(2'(0'(1'(1'(2'(1'(2'(2'(1'(2'(1'(0'(2'(2'(2'(1'(2'(1'(1'(0'(0'(1'(0'(2'(x1))))))))))))))))))))))))))) [1] 1'(c_0(c_1(c_0(c_2(c_2(c_2(c_2(c_1(c_0(c_0(c_2(c_0(c_2(c_1(c_2(c_1(c_2(c_1(c_1(c_2(c_0(c_2(x1))))))))))))))))))))))) -> 2'(1'(2'(0'(2'(0'(2'(0'(2'(2'(2'(2'(1'(2'(1'(2'(2'(2'(1'(1'(2'(1'(0'(1'(1'(2'(2'(x1))))))))))))))))))))))))))) [1] 1'(c_1(c_1(c_0(c_2(c_2(c_1(c_1(c_1(c_2(c_2(c_0(c_2(c_0(c_2(c_1(c_1(c_2(c_1(c_2(c_1(c_2(c_2(x1))))))))))))))))))))))) -> 1'(2'(1'(2'(1'(1'(1'(1'(2'(1'(1'(1'(2'(2'(0'(1'(0'(2'(2'(1'(2'(2'(2'(1'(0'(1'(2'(x1))))))))))))))))))))))))))) [1] 2'(c_2(c_2(c_0(c_0(c_1(c_0(c_0(c_2(c_0(c_0(c_2(c_1(c_1(c_2(c_1(c_0(c_1(c_2(c_2(c_2(c_1(c_0(x1))))))))))))))))))))))) -> 1'(2'(2'(2'(2'(0'(1'(2'(1'(2'(0'(1'(2'(1'(2'(1'(0'(1'(0'(1'(0'(1'(1'(2'(2'(1'(0'(x1))))))))))))))))))))))))))) [1] 1'(c_0(c_0(c_1(c_0(c_1(c_1(c_0(c_2(c_1(c_1(c_2(c_1(c_2(c_1(c_2(c_0(c_1(c_2(c_2(c_1(c_2(c_1(x1))))))))))))))))))))))) -> 1'(2'(0'(0'(1'(1'(2'(2'(1'(2'(0'(2'(2'(0'(1'(1'(2'(2'(2'(1'(2'(2'(2'(2'(2'(1'(2'(x1))))))))))))))))))))))))))) [1] 2'(c_1(c_0(c_1(c_1(c_2(c_0(c_0(c_2(c_1(c_0(c_0(c_0(c_1(c_2(c_1(c_1(c_2(c_0(c_2(c_1(c_2(c_1(x1))))))))))))))))))))))) -> 2'(0'(2'(2'(0'(0'(2'(2'(1'(1'(1'(2'(0'(1'(0'(1'(2'(2'(2'(2'(2'(0'(0'(0'(2'(2'(1'(x1))))))))))))))))))))))))))) [1] 2'(c_2(c_1(c_2(c_2(c_0(c_0(c_2(c_1(c_1(c_0(c_2(c_2(c_0(c_2(c_2(c_0(c_2(c_2(c_1(c_2(c_0(c_2(x1))))))))))))))))))))))) -> 1'(2'(1'(1'(1'(2'(2'(2'(1'(2'(1'(0'(2'(1'(1'(1'(1'(2'(2'(0'(0'(1'(1'(0'(2'(1'(2'(x1))))))))))))))))))))))))))) [1] 1'(c_2(c_2(c_2(c_1(c_1(c_0(c_0(c_2(c_2(c_2(c_0(c_0(c_0(c_2(c_1(c_2(c_2(c_0(c_2(c_0(c_2(c_0(x1))))))))))))))))))))))) -> 1'(2'(1'(2'(0'(0'(1'(1'(1'(2'(2'(2'(2'(1'(2'(2'(2'(0'(2'(0'(1'(2'(2'(2'(2'(0'(0'(x1))))))))))))))))))))))))))) [1] 2'(c_2(c_0(c_0(c_1(c_2(c_1(c_1(c_2(c_1(c_0(c_0(c_0(c_0(c_0(c_2(c_1(c_2(c_1(c_1(c_2(c_0(c_2(x1))))))))))))))))))))))) -> 2'(1'(1'(2'(2'(2'(2'(1'(2'(1'(0'(0'(2'(1'(0'(2'(2'(0'(1'(1'(0'(2'(0'(0'(0'(0'(2'(x1))))))))))))))))))))))))))) [1] 0'(c_1(c_1(c_1(c_1(c_2(c_1(c_1(c_2(c_2(c_0(c_1(c_0(c_1(c_1(c_0(c_2(c_0(c_0(c_2(c_0(c_1(c_0(x1))))))))))))))))))))))) -> 2'(2'(2'(2'(2'(1'(0'(1'(2'(2'(0'(1'(1'(1'(2'(2'(1'(1'(0'(0'(0'(0'(2'(2'(1'(2'(2'(x1))))))))))))))))))))))))))) [1] 1'(c_2(c_0(c_2(c_1(c_2(c_2(c_1(c_2(c_2(c_2(c_0(c_1(c_1(c_1(c_1(c_0(c_1(c_0(c_0(c_2(c_0(c_1(x1))))))))))))))))))))))) -> 1'(2'(1'(2'(1'(2'(2'(2'(2'(2'(2'(0'(0'(2'(0'(0'(2'(2'(0'(1'(1'(1'(1'(0'(0'(2'(1'(x1))))))))))))))))))))))))))) [1] 1'(c_1(c_0(c_2(c_1(c_0(c_2(c_0(c_1(c_2(c_0(c_2(c_0(c_0(c_2(c_1(c_0(c_1(c_0(c_1(c_2(c_1(c_2(x1))))))))))))))))))))))) -> 2'(0'(2'(2'(1'(1'(1'(2'(2'(0'(1'(2'(0'(2'(1'(1'(2'(1'(0'(0'(2'(0'(1'(2'(2'(2'(2'(x1))))))))))))))))))))))))))) [1] 0'(c_1(c_2(c_1(c_1(c_2(c_2(c_2(c_1(c_1(c_0(c_0(c_1(c_0(c_2(c_0(c_2(c_2(c_1(c_0(c_2(c_1(c_1(x1))))))))))))))))))))))) -> 2'(1'(2'(1'(2'(1'(2'(2'(0'(2'(0'(1'(2'(1'(2'(1'(2'(0'(1'(2'(0'(0'(2'(2'(1'(1'(2'(x1))))))))))))))))))))))))))) [1] 2'(c_0(c_1(c_0(c_0(c_0(c_1(c_0(c_0(c_0(c_0(c_0(c_0(c_0(c_1(c_0(c_2(c_0(c_0(c_2(c_2(c_2(c_2(x1))))))))))))))))))))))) -> 2'(2'(2'(1'(1'(2'(1'(2'(0'(1'(1'(2'(1'(0'(2'(1'(0'(0'(1'(0'(1'(1'(2'(1'(2'(2'(2'(x1))))))))))))))))))))))))))) [1] 0'(c_0(c_1(c_0(c_2(c_2(c_1(c_2(c_0(c_0(c_1(c_2(c_0(c_2(c_2(c_2(c_1(c_1(c_2(c_0(c_0(c_2(c_1(x1))))))))))))))))))))))) -> 0'(1'(1'(1'(0'(2'(1'(2'(1'(2'(0'(1'(1'(2'(1'(1'(2'(2'(2'(2'(2'(0'(2'(2'(2'(1'(2'(x1))))))))))))))))))))))))))) [1] 2'(c_2(c_0(c_0(c_1(c_0(c_1(c_2(c_2(c_2(c_1(c_1(c_0(c_0(c_1(c_2(c_2(c_1(c_2(c_0(c_1(c_2(c_1(x1))))))))))))))))))))))) -> 2'(2'(2'(2'(0'(2'(0'(2'(2'(1'(2'(1'(0'(1'(1'(2'(2'(0'(0'(2'(1'(2'(1'(2'(1'(2'(0'(x1))))))))))))))))))))))))))) [1] 0'(c_0(c_0(c_0(c_1(c_0(c_0(c_2(c_2(c_1(c_0(c_2(c_0(c_2(c_1(c_1(c_2(c_1(c_2(c_2(c_0(c_1(c_1(x1))))))))))))))))))))))) -> 0'(1'(2'(0'(0'(2'(1'(2'(2'(1'(1'(2'(1'(1'(1'(1'(2'(2'(2'(1'(2'(1'(0'(2'(1'(1'(0'(x1))))))))))))))))))))))))))) [1] 0'(c_0(c_0(c_2(c_2(c_0(c_2(c_2(c_2(c_1(c_1(c_0(c_2(c_2(c_1(c_2(c_1(c_0(c_2(c_0(c_0(c_0(c_1(x1))))))))))))))))))))))) -> 2'(0'(1'(1'(1'(2'(2'(1'(1'(2'(2'(2'(2'(1'(0'(1'(2'(1'(1'(2'(2'(2'(1'(2'(1'(2'(2'(x1))))))))))))))))))))))))))) [1] 2'(c_2(c_1(c_1(c_2(c_2(c_1(c_2(c_1(c_1(c_1(c_0(c_0(c_2(c_1(c_1(c_0(c_2(c_0(c_0(c_1(c_1(c_2(x1))))))))))))))))))))))) -> 2'(1'(1'(1'(2'(2'(2'(1'(1'(0'(2'(2'(1'(0'(1'(0'(2'(2'(1'(2'(0'(0'(0'(1'(2'(1'(2'(x1))))))))))))))))))))))))))) [1] 1'(c_1(c_0(c_0(c_1(c_1(c_1(c_2(c_2(c_2(c_1(c_2(c_1(c_0(c_0(c_0(c_2(c_2(c_2(c_0(c_1(c_2(c_0(x1))))))))))))))))))))))) -> 2'(1'(2'(1'(2'(2'(2'(1'(2'(2'(0'(2'(2'(1'(0'(2'(1'(2'(2'(0'(1'(0'(1'(1'(2'(2'(2'(x1))))))))))))))))))))))))))) [1] 2'(c_2(c_0(c_1(c_1(c_0(c_0(c_1(c_2(c_1(c_0(c_2(c_1(c_2(c_2(c_2(c_1(c_0(c_0(c_2(c_2(c_2(c_0(x1))))))))))))))))))))))) -> 2'(2'(1'(0'(0'(0'(0'(2'(2'(1'(1'(2'(2'(1'(0'(2'(1'(2'(1'(2'(2'(1'(2'(2'(2'(0'(0'(x1))))))))))))))))))))))))))) [1] 2'(c_1(c_2(c_1(c_0(c_2(c_1(c_2(c_0(c_0(c_0(c_0(c_2(c_0(c_0(c_0(c_2(c_2(c_0(c_0(c_0(c_0(c_1(x1))))))))))))))))))))))) -> 2'(1'(2'(1'(2'(0'(0'(2'(1'(0'(0'(2'(2'(0'(1'(0'(2'(1'(2'(1'(2'(2'(1'(2'(1'(1'(2'(x1))))))))))))))))))))))))))) [1] encArg(cons_0(x_1)) -> 0'(encArg(x_1)) [0] encArg(cons_1(x_1)) -> 1'(encArg(x_1)) [0] encArg(cons_2(x_1)) -> 2'(encArg(x_1)) [0] encode_0(x_1) -> 0'(encArg(x_1)) [0] encode_1(x_1) -> 1'(encArg(x_1)) [0] encode_2(x_1) -> 2'(encArg(x_1)) [0] 0'(x0) -> c_0(x0) [0] 1'(x0) -> c_1(x0) [0] 2'(x0) -> c_2(x0) [0] The TRS has the following type information: 1' :: c_1:c_2:c_0 -> c_1:c_2:c_0 c_2 :: c_1:c_2:c_0 -> c_1:c_2:c_0 c_0 :: c_1:c_2:c_0 -> c_1:c_2:c_0 c_1 :: c_1:c_2:c_0 -> c_1:c_2:c_0 2' :: c_1:c_2:c_0 -> c_1:c_2:c_0 0' :: c_1:c_2:c_0 -> c_1:c_2:c_0 encArg :: cons_0:cons_1:cons_2 -> c_1:c_2:c_0 cons_0 :: cons_0:cons_1:cons_2 -> cons_0:cons_1:cons_2 cons_1 :: cons_0:cons_1:cons_2 -> cons_0:cons_1:cons_2 cons_2 :: cons_0:cons_1:cons_2 -> cons_0:cons_1:cons_2 encode_0 :: cons_0:cons_1:cons_2 -> c_1:c_2:c_0 encode_1 :: cons_0:cons_1:cons_2 -> c_1:c_2:c_0 encode_2 :: cons_0:cons_1:cons_2 -> c_1:c_2:c_0 Rewrite Strategy: INNERMOST ---------------------------------------- (27) CompletionProof (UPPER BOUND(ID)) The transformation into a RNTS is sound, since: (a) The obligation is a constructor system where every type has a constant constructor, (b) The following defined symbols do not have to be completely defined, as they can never occur inside other defined symbols: none (c) The following functions are completely defined: encArg_1 encode_0_1 encode_1_1 encode_2_1 0'_1 1'_1 2'_1 Due to the following rules being added: encArg(v0) -> const [0] encode_0(v0) -> const [0] encode_1(v0) -> const [0] encode_2(v0) -> const [0] 0'(v0) -> const [0] 1'(v0) -> const [0] 2'(v0) -> const [0] And the following fresh constants: const, const1 ---------------------------------------- (28) 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: 1'(c_2(c_0(c_0(c_2(c_0(c_1(c_2(c_2(c_0(c_2(c_1(c_2(c_1(c_2(c_0(c_1(c_0(c_1(c_2(c_0(c_2(c_1(x1))))))))))))))))))))))) -> 1'(2'(2'(0'(2'(1'(2'(2'(0'(1'(0'(2'(1'(0'(1'(2'(1'(2'(2'(2'(2'(0'(2'(2'(0'(2'(0'(x1))))))))))))))))))))))))))) [1] 1'(c_1(c_0(c_2(c_1(c_2(c_2(c_2(c_2(c_1(c_0(c_1(c_2(c_0(c_1(c_2(c_1(c_1(c_0(c_2(c_1(c_2(c_0(x1))))))))))))))))))))))) -> 2'(2'(1'(2'(1'(2'(2'(1'(0'(1'(2'(2'(2'(1'(0'(2'(1'(1'(2'(1'(0'(1'(1'(1'(2'(2'(2'(x1))))))))))))))))))))))))))) [1] 2'(c_2(c_1(c_1(c_1(c_0(c_0(c_2(c_1(c_0(c_2(c_1(c_2(c_0(c_0(c_2(c_1(c_0(c_1(c_1(c_2(c_2(c_1(x1))))))))))))))))))))))) -> 2'(1'(2'(2'(0'(1'(2'(1'(1'(0'(1'(2'(1'(0'(0'(1'(2'(2'(1'(2'(1'(0'(2'(1'(2'(2'(1'(x1))))))))))))))))))))))))))) [1] 2'(c_2(c_1(c_1(c_2(c_0(c_0(c_2(c_2(c_2(c_2(c_1(c_1(c_1(c_1(c_1(c_2(c_1(c_2(c_0(c_0(c_1(c_1(x1))))))))))))))))))))))) -> 2'(2'(1'(1'(2'(2'(1'(2'(1'(2'(2'(0'(0'(0'(2'(1'(0'(2'(2'(1'(2'(2'(0'(1'(1'(2'(2'(x1))))))))))))))))))))))))))) [1] 0'(c_0(c_2(c_0(c_2(c_2(c_1(c_2(c_1(c_1(c_2(c_1(c_1(c_2(c_1(c_0(c_0(c_0(c_0(c_1(c_1(c_2(c_1(x1))))))))))))))))))))))) -> 0'(0'(1'(2'(2'(1'(1'(2'(2'(1'(1'(2'(2'(2'(2'(0'(1'(2'(1'(2'(1'(1'(1'(0'(1'(2'(2'(x1))))))))))))))))))))))))))) [1] 2'(c_1(c_0(c_1(c_0(c_0(c_2(c_2(c_2(c_0(c_1(c_0(c_0(c_2(c_0(c_0(c_1(c_2(c_0(c_2(c_2(c_2(c_0(x1))))))))))))))))))))))) -> 2'(1'(1'(2'(0'(1'(2'(0'(0'(2'(0'(1'(2'(2'(1'(1'(1'(2'(2'(2'(0'(0'(1'(1'(0'(2'(0'(x1))))))))))))))))))))))))))) [1] 0'(c_1(c_1(c_1(c_2(c_2(c_1(c_0(c_0(c_2(c_2(c_2(c_2(c_0(c_2(c_0(c_0(c_0(c_0(c_1(c_0(c_0(c_2(x1))))))))))))))))))))))) -> 0'(2'(1'(1'(1'(1'(2'(2'(1'(1'(0'(1'(1'(2'(1'(2'(1'(0'(0'(1'(2'(2'(1'(0'(0'(2'(2'(x1))))))))))))))))))))))))))) [1] 0'(c_1(c_1(c_0(c_1(c_1(c_1(c_2(c_2(c_0(c_2(c_0(c_1(c_2(c_2(c_2(c_0(c_1(c_2(c_0(c_1(c_0(c_2(x1))))))))))))))))))))))) -> 0'(2'(0'(1'(0'(2'(0'(2'(2'(2'(1'(2'(1'(1'(2'(2'(2'(2'(2'(2'(2'(1'(0'(0'(0'(2'(2'(x1))))))))))))))))))))))))))) [1] 2'(c_0(c_2(c_0(c_1(c_0(c_1(c_1(c_2(c_0(c_1(c_1(c_2(c_2(c_1(c_0(c_2(c_0(c_2(c_0(c_2(c_2(c_2(x1))))))))))))))))))))))) -> 2'(0'(0'(1'(1'(2'(0'(2'(2'(1'(1'(2'(2'(0'(1'(2'(2'(2'(0'(0'(2'(0'(2'(2'(2'(0'(2'(x1))))))))))))))))))))))))))) [1] 2'(c_2(c_0(c_1(c_2(c_2(c_2(c_0(c_2(c_2(c_2(c_0(c_2(c_2(c_2(c_2(c_1(c_0(c_1(c_0(c_0(c_1(c_0(x1))))))))))))))))))))))) -> 2'(2'(0'(1'(1'(2'(2'(2'(1'(1'(2'(1'(0'(0'(1'(2'(2'(1'(2'(1'(0'(2'(2'(0'(0'(2'(0'(x1))))))))))))))))))))))))))) [1] 2'(c_2(c_1(c_1(c_1(c_2(c_0(c_1(c_1(c_2(c_2(c_0(c_1(c_1(c_1(c_1(c_1(c_2(c_2(c_2(c_0(c_2(c_1(x1))))))))))))))))))))))) -> 1'(2'(1'(2'(2'(1'(1'(1'(1'(2'(2'(2'(1'(2'(0'(0'(0'(1'(2'(0'(0'(1'(2'(2'(2'(2'(2'(x1))))))))))))))))))))))))))) [1] 2'(c_1(c_1(c_0(c_2(c_2(c_2(c_0(c_1(c_2(c_1(c_1(c_0(c_1(c_2(c_0(c_0(c_1(c_1(c_1(c_1(c_2(c_2(x1))))))))))))))))))))))) -> 2'(0'(0'(2'(1'(0'(0'(0'(0'(0'(1'(2'(1'(1'(2'(1'(1'(2'(1'(2'(2'(0'(1'(1'(1'(2'(2'(x1))))))))))))))))))))))))))) [1] 2'(c_2(c_1(c_2(c_1(c_2(c_2(c_2(c_0(c_1(c_2(c_1(c_2(c_2(c_2(c_2(c_1(c_1(c_0(c_1(c_0(c_1(c_0(x1))))))))))))))))))))))) -> 1'(2'(1'(2'(1'(2'(0'(1'(2'(2'(0'(1'(1'(1'(2'(2'(1'(1'(1'(2'(2'(0'(1'(0'(1'(2'(2'(x1))))))))))))))))))))))))))) [1] 1'(c_1(c_0(c_1(c_2(c_2(c_2(c_2(c_1(c_0(c_2(c_1(c_2(c_0(c_0(c_0(c_1(c_0(c_2(c_1(c_1(c_1(c_2(x1))))))))))))))))))))))) -> 2'(1'(2'(1'(2'(2'(2'(2'(2'(0'(0'(0'(0'(2'(1'(2'(2'(2'(2'(1'(2'(2'(2'(0'(0'(2'(2'(x1))))))))))))))))))))))))))) [1] 2'(c_0(c_2(c_0(c_1(c_2(c_2(c_0(c_0(c_2(c_2(c_2(c_1(c_1(c_1(c_2(c_1(c_0(c_2(c_0(c_2(c_2(c_0(x1))))))))))))))))))))))) -> 2'(1'(1'(1'(2'(2'(0'(0'(0'(2'(1'(0'(0'(0'(1'(1'(0'(2'(2'(0'(2'(2'(2'(2'(2'(2'(0'(x1))))))))))))))))))))))))))) [1] 2'(c_2(c_0(c_0(c_2(c_1(c_2(c_0(c_1(c_2(c_0(c_2(c_1(c_0(c_1(c_1(c_2(c_2(c_1(c_0(c_1(c_0(c_2(x1))))))))))))))))))))))) -> 2'(2'(2'(2'(1'(2'(1'(2'(0'(2'(2'(2'(2'(2'(0'(1'(2'(0'(2'(1'(0'(0'(0'(2'(0'(2'(2'(x1))))))))))))))))))))))))))) [1] 1'(c_1(c_2(c_2(c_1(c_0(c_2(c_0(c_1(c_1(c_2(c_2(c_2(c_1(c_0(c_1(c_0(c_0(c_2(c_1(c_1(c_0(c_2(x1))))))))))))))))))))))) -> 2'(2'(2'(1'(1'(2'(2'(2'(1'(2'(2'(0'(0'(2'(0'(0'(1'(2'(0'(2'(2'(1'(2'(2'(2'(0'(2'(x1))))))))))))))))))))))))))) [1] 0'(c_1(c_0(c_0(c_1(c_2(c_2(c_1(c_0(c_1(c_2(c_1(c_2(c_0(c_1(c_0(c_2(c_2(c_0(c_1(c_2(c_1(c_0(x1))))))))))))))))))))))) -> 0'(0'(0'(1'(2'(2'(2'(2'(2'(2'(2'(0'(0'(0'(0'(1'(2'(1'(2'(2'(2'(1'(0'(2'(0'(2'(0'(x1))))))))))))))))))))))))))) [1] 0'(c_0(c_1(c_2(c_0(c_1(c_0(c_0(c_2(c_0(c_1(c_1(c_0(c_1(c_2(c_1(c_1(c_2(c_2(c_1(c_1(c_0(c_2(x1))))))))))))))))))))))) -> 0'(2'(2'(2'(0'(1'(1'(2'(1'(2'(2'(1'(2'(1'(0'(2'(2'(2'(1'(2'(1'(1'(0'(0'(1'(0'(2'(x1))))))))))))))))))))))))))) [1] 1'(c_0(c_1(c_0(c_2(c_2(c_2(c_2(c_1(c_0(c_0(c_2(c_0(c_2(c_1(c_2(c_1(c_2(c_1(c_1(c_2(c_0(c_2(x1))))))))))))))))))))))) -> 2'(1'(2'(0'(2'(0'(2'(0'(2'(2'(2'(2'(1'(2'(1'(2'(2'(2'(1'(1'(2'(1'(0'(1'(1'(2'(2'(x1))))))))))))))))))))))))))) [1] 1'(c_1(c_1(c_0(c_2(c_2(c_1(c_1(c_1(c_2(c_2(c_0(c_2(c_0(c_2(c_1(c_1(c_2(c_1(c_2(c_1(c_2(c_2(x1))))))))))))))))))))))) -> 1'(2'(1'(2'(1'(1'(1'(1'(2'(1'(1'(1'(2'(2'(0'(1'(0'(2'(2'(1'(2'(2'(2'(1'(0'(1'(2'(x1))))))))))))))))))))))))))) [1] 2'(c_2(c_2(c_0(c_0(c_1(c_0(c_0(c_2(c_0(c_0(c_2(c_1(c_1(c_2(c_1(c_0(c_1(c_2(c_2(c_2(c_1(c_0(x1))))))))))))))))))))))) -> 1'(2'(2'(2'(2'(0'(1'(2'(1'(2'(0'(1'(2'(1'(2'(1'(0'(1'(0'(1'(0'(1'(1'(2'(2'(1'(0'(x1))))))))))))))))))))))))))) [1] 1'(c_0(c_0(c_1(c_0(c_1(c_1(c_0(c_2(c_1(c_1(c_2(c_1(c_2(c_1(c_2(c_0(c_1(c_2(c_2(c_1(c_2(c_1(x1))))))))))))))))))))))) -> 1'(2'(0'(0'(1'(1'(2'(2'(1'(2'(0'(2'(2'(0'(1'(1'(2'(2'(2'(1'(2'(2'(2'(2'(2'(1'(2'(x1))))))))))))))))))))))))))) [1] 2'(c_1(c_0(c_1(c_1(c_2(c_0(c_0(c_2(c_1(c_0(c_0(c_0(c_1(c_2(c_1(c_1(c_2(c_0(c_2(c_1(c_2(c_1(x1))))))))))))))))))))))) -> 2'(0'(2'(2'(0'(0'(2'(2'(1'(1'(1'(2'(0'(1'(0'(1'(2'(2'(2'(2'(2'(0'(0'(0'(2'(2'(1'(x1))))))))))))))))))))))))))) [1] 2'(c_2(c_1(c_2(c_2(c_0(c_0(c_2(c_1(c_1(c_0(c_2(c_2(c_0(c_2(c_2(c_0(c_2(c_2(c_1(c_2(c_0(c_2(x1))))))))))))))))))))))) -> 1'(2'(1'(1'(1'(2'(2'(2'(1'(2'(1'(0'(2'(1'(1'(1'(1'(2'(2'(0'(0'(1'(1'(0'(2'(1'(2'(x1))))))))))))))))))))))))))) [1] 1'(c_2(c_2(c_2(c_1(c_1(c_0(c_0(c_2(c_2(c_2(c_0(c_0(c_0(c_2(c_1(c_2(c_2(c_0(c_2(c_0(c_2(c_0(x1))))))))))))))))))))))) -> 1'(2'(1'(2'(0'(0'(1'(1'(1'(2'(2'(2'(2'(1'(2'(2'(2'(0'(2'(0'(1'(2'(2'(2'(2'(0'(0'(x1))))))))))))))))))))))))))) [1] 2'(c_2(c_0(c_0(c_1(c_2(c_1(c_1(c_2(c_1(c_0(c_0(c_0(c_0(c_0(c_2(c_1(c_2(c_1(c_1(c_2(c_0(c_2(x1))))))))))))))))))))))) -> 2'(1'(1'(2'(2'(2'(2'(1'(2'(1'(0'(0'(2'(1'(0'(2'(2'(0'(1'(1'(0'(2'(0'(0'(0'(0'(2'(x1))))))))))))))))))))))))))) [1] 0'(c_1(c_1(c_1(c_1(c_2(c_1(c_1(c_2(c_2(c_0(c_1(c_0(c_1(c_1(c_0(c_2(c_0(c_0(c_2(c_0(c_1(c_0(x1))))))))))))))))))))))) -> 2'(2'(2'(2'(2'(1'(0'(1'(2'(2'(0'(1'(1'(1'(2'(2'(1'(1'(0'(0'(0'(0'(2'(2'(1'(2'(2'(x1))))))))))))))))))))))))))) [1] 1'(c_2(c_0(c_2(c_1(c_2(c_2(c_1(c_2(c_2(c_2(c_0(c_1(c_1(c_1(c_1(c_0(c_1(c_0(c_0(c_2(c_0(c_1(x1))))))))))))))))))))))) -> 1'(2'(1'(2'(1'(2'(2'(2'(2'(2'(2'(0'(0'(2'(0'(0'(2'(2'(0'(1'(1'(1'(1'(0'(0'(2'(1'(x1))))))))))))))))))))))))))) [1] 1'(c_1(c_0(c_2(c_1(c_0(c_2(c_0(c_1(c_2(c_0(c_2(c_0(c_0(c_2(c_1(c_0(c_1(c_0(c_1(c_2(c_1(c_2(x1))))))))))))))))))))))) -> 2'(0'(2'(2'(1'(1'(1'(2'(2'(0'(1'(2'(0'(2'(1'(1'(2'(1'(0'(0'(2'(0'(1'(2'(2'(2'(2'(x1))))))))))))))))))))))))))) [1] 0'(c_1(c_2(c_1(c_1(c_2(c_2(c_2(c_1(c_1(c_0(c_0(c_1(c_0(c_2(c_0(c_2(c_2(c_1(c_0(c_2(c_1(c_1(x1))))))))))))))))))))))) -> 2'(1'(2'(1'(2'(1'(2'(2'(0'(2'(0'(1'(2'(1'(2'(1'(2'(0'(1'(2'(0'(0'(2'(2'(1'(1'(2'(x1))))))))))))))))))))))))))) [1] 2'(c_0(c_1(c_0(c_0(c_0(c_1(c_0(c_0(c_0(c_0(c_0(c_0(c_0(c_1(c_0(c_2(c_0(c_0(c_2(c_2(c_2(c_2(x1))))))))))))))))))))))) -> 2'(2'(2'(1'(1'(2'(1'(2'(0'(1'(1'(2'(1'(0'(2'(1'(0'(0'(1'(0'(1'(1'(2'(1'(2'(2'(2'(x1))))))))))))))))))))))))))) [1] 0'(c_0(c_1(c_0(c_2(c_2(c_1(c_2(c_0(c_0(c_1(c_2(c_0(c_2(c_2(c_2(c_1(c_1(c_2(c_0(c_0(c_2(c_1(x1))))))))))))))))))))))) -> 0'(1'(1'(1'(0'(2'(1'(2'(1'(2'(0'(1'(1'(2'(1'(1'(2'(2'(2'(2'(2'(0'(2'(2'(2'(1'(2'(x1))))))))))))))))))))))))))) [1] 2'(c_2(c_0(c_0(c_1(c_0(c_1(c_2(c_2(c_2(c_1(c_1(c_0(c_0(c_1(c_2(c_2(c_1(c_2(c_0(c_1(c_2(c_1(x1))))))))))))))))))))))) -> 2'(2'(2'(2'(0'(2'(0'(2'(2'(1'(2'(1'(0'(1'(1'(2'(2'(0'(0'(2'(1'(2'(1'(2'(1'(2'(0'(x1))))))))))))))))))))))))))) [1] 0'(c_0(c_0(c_0(c_1(c_0(c_0(c_2(c_2(c_1(c_0(c_2(c_0(c_2(c_1(c_1(c_2(c_1(c_2(c_2(c_0(c_1(c_1(x1))))))))))))))))))))))) -> 0'(1'(2'(0'(0'(2'(1'(2'(2'(1'(1'(2'(1'(1'(1'(1'(2'(2'(2'(1'(2'(1'(0'(2'(1'(1'(0'(x1))))))))))))))))))))))))))) [1] 0'(c_0(c_0(c_2(c_2(c_0(c_2(c_2(c_2(c_1(c_1(c_0(c_2(c_2(c_1(c_2(c_1(c_0(c_2(c_0(c_0(c_0(c_1(x1))))))))))))))))))))))) -> 2'(0'(1'(1'(1'(2'(2'(1'(1'(2'(2'(2'(2'(1'(0'(1'(2'(1'(1'(2'(2'(2'(1'(2'(1'(2'(2'(x1))))))))))))))))))))))))))) [1] 2'(c_2(c_1(c_1(c_2(c_2(c_1(c_2(c_1(c_1(c_1(c_0(c_0(c_2(c_1(c_1(c_0(c_2(c_0(c_0(c_1(c_1(c_2(x1))))))))))))))))))))))) -> 2'(1'(1'(1'(2'(2'(2'(1'(1'(0'(2'(2'(1'(0'(1'(0'(2'(2'(1'(2'(0'(0'(0'(1'(2'(1'(2'(x1))))))))))))))))))))))))))) [1] 1'(c_1(c_0(c_0(c_1(c_1(c_1(c_2(c_2(c_2(c_1(c_2(c_1(c_0(c_0(c_0(c_2(c_2(c_2(c_0(c_1(c_2(c_0(x1))))))))))))))))))))))) -> 2'(1'(2'(1'(2'(2'(2'(1'(2'(2'(0'(2'(2'(1'(0'(2'(1'(2'(2'(0'(1'(0'(1'(1'(2'(2'(2'(x1))))))))))))))))))))))))))) [1] 2'(c_2(c_0(c_1(c_1(c_0(c_0(c_1(c_2(c_1(c_0(c_2(c_1(c_2(c_2(c_2(c_1(c_0(c_0(c_2(c_2(c_2(c_0(x1))))))))))))))))))))))) -> 2'(2'(1'(0'(0'(0'(0'(2'(2'(1'(1'(2'(2'(1'(0'(2'(1'(2'(1'(2'(2'(1'(2'(2'(2'(0'(0'(x1))))))))))))))))))))))))))) [1] 2'(c_1(c_2(c_1(c_0(c_2(c_1(c_2(c_0(c_0(c_0(c_0(c_2(c_0(c_0(c_0(c_2(c_2(c_0(c_0(c_0(c_0(c_1(x1))))))))))))))))))))))) -> 2'(1'(2'(1'(2'(0'(0'(2'(1'(0'(0'(2'(2'(0'(1'(0'(2'(1'(2'(1'(2'(2'(1'(2'(1'(1'(2'(x1))))))))))))))))))))))))))) [1] encArg(cons_0(x_1)) -> 0'(encArg(x_1)) [0] encArg(cons_1(x_1)) -> 1'(encArg(x_1)) [0] encArg(cons_2(x_1)) -> 2'(encArg(x_1)) [0] encode_0(x_1) -> 0'(encArg(x_1)) [0] encode_1(x_1) -> 1'(encArg(x_1)) [0] encode_2(x_1) -> 2'(encArg(x_1)) [0] 0'(x0) -> c_0(x0) [0] 1'(x0) -> c_1(x0) [0] 2'(x0) -> c_2(x0) [0] encArg(v0) -> const [0] encode_0(v0) -> const [0] encode_1(v0) -> const [0] encode_2(v0) -> const [0] 0'(v0) -> const [0] 1'(v0) -> const [0] 2'(v0) -> const [0] The TRS has the following type information: 1' :: c_1:c_2:c_0:const -> c_1:c_2:c_0:const c_2 :: c_1:c_2:c_0:const -> c_1:c_2:c_0:const c_0 :: c_1:c_2:c_0:const -> c_1:c_2:c_0:const c_1 :: c_1:c_2:c_0:const -> c_1:c_2:c_0:const 2' :: c_1:c_2:c_0:const -> c_1:c_2:c_0:const 0' :: c_1:c_2:c_0:const -> c_1:c_2:c_0:const encArg :: cons_0:cons_1:cons_2 -> c_1:c_2:c_0:const cons_0 :: cons_0:cons_1:cons_2 -> cons_0:cons_1:cons_2 cons_1 :: cons_0:cons_1:cons_2 -> cons_0:cons_1:cons_2 cons_2 :: cons_0:cons_1:cons_2 -> cons_0:cons_1:cons_2 encode_0 :: cons_0:cons_1:cons_2 -> c_1:c_2:c_0:const encode_1 :: cons_0:cons_1:cons_2 -> c_1:c_2:c_0:const encode_2 :: cons_0:cons_1:cons_2 -> c_1:c_2:c_0:const const :: c_1:c_2:c_0:const const1 :: cons_0:cons_1:cons_2 Rewrite Strategy: INNERMOST ---------------------------------------- (29) NarrowingProof (BOTH BOUNDS(ID, ID)) Narrowed the inner basic terms of all right-hand sides by a single narrowing step. ---------------------------------------- (30) 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: 1'(c_2(c_0(c_0(c_2(c_0(c_1(c_2(c_2(c_0(c_2(c_1(c_2(c_1(c_2(c_0(c_1(c_0(c_1(c_2(c_0(c_2(c_1(c_0(c_2(c_0(c_2(c_2(c_1(c_2(c_1(c_1(c_2(c_1(c_1(c_2(c_1(c_0(c_0(c_0(c_0(c_1(c_1(c_2(c_1(x1'))))))))))))))))))))))))))))))))))))))))))))) -> 1'(2'(2'(0'(2'(1'(2'(2'(0'(1'(0'(2'(1'(0'(1'(2'(1'(2'(2'(2'(2'(0'(2'(2'(0'(2'(0'(0'(1'(2'(2'(1'(1'(2'(2'(1'(1'(2'(2'(2'(2'(0'(1'(2'(1'(2'(1'(1'(1'(0'(1'(2'(2'(x1'))))))))))))))))))))))))))))))))))))))))))))))))))))) [2] 1'(c_2(c_0(c_0(c_2(c_0(c_1(c_2(c_2(c_0(c_2(c_1(c_2(c_1(c_2(c_0(c_1(c_0(c_1(c_2(c_0(c_2(c_1(c_1(c_1(c_1(c_2(c_2(c_1(c_0(c_0(c_2(c_2(c_2(c_2(c_0(c_2(c_0(c_0(c_0(c_0(c_1(c_0(c_0(c_2(x1''))))))))))))))))))))))))))))))))))))))))))))) -> 1'(2'(2'(0'(2'(1'(2'(2'(0'(1'(0'(2'(1'(0'(1'(2'(1'(2'(2'(2'(2'(0'(2'(2'(0'(2'(0'(2'(1'(1'(1'(1'(2'(2'(1'(1'(0'(1'(1'(2'(1'(2'(1'(0'(0'(1'(2'(2'(1'(0'(0'(2'(2'(x1''))))))))))))))))))))))))))))))))))))))))))))))))))))) [2] 1'(c_2(c_0(c_0(c_2(c_0(c_1(c_2(c_2(c_0(c_2(c_1(c_2(c_1(c_2(c_0(c_1(c_0(c_1(c_2(c_0(c_2(c_1(c_1(c_1(c_0(c_1(c_1(c_1(c_2(c_2(c_0(c_2(c_0(c_1(c_2(c_2(c_2(c_0(c_1(c_2(c_0(c_1(c_0(c_2(x11))))))))))))))))))))))))))))))))))))))))))))) -> 1'(2'(2'(0'(2'(1'(2'(2'(0'(1'(0'(2'(1'(0'(1'(2'(1'(2'(2'(2'(2'(0'(2'(2'(0'(2'(0'(2'(0'(1'(0'(2'(0'(2'(2'(2'(1'(2'(1'(1'(2'(2'(2'(2'(2'(2'(2'(1'(0'(0'(0'(2'(2'(x11))))))))))))))))))))))))))))))))))))))))))))))))))))) [2] 1'(c_2(c_0(c_0(c_2(c_0(c_1(c_2(c_2(c_0(c_2(c_1(c_2(c_1(c_2(c_0(c_1(c_0(c_1(c_2(c_0(c_2(c_1(c_1(c_0(c_0(c_1(c_2(c_2(c_1(c_0(c_1(c_2(c_1(c_2(c_0(c_1(c_0(c_2(c_2(c_0(c_1(c_2(c_1(c_0(x12))))))))))))))))))))))))))))))))))))))))))))) -> 1'(2'(2'(0'(2'(1'(2'(2'(0'(1'(0'(2'(1'(0'(1'(2'(1'(2'(2'(2'(2'(0'(2'(2'(0'(2'(0'(0'(0'(1'(2'(2'(2'(2'(2'(2'(2'(0'(0'(0'(0'(1'(2'(1'(2'(2'(2'(1'(0'(2'(0'(2'(0'(x12))))))))))))))))))))))))))))))))))))))))))))))))))))) [2] 1'(c_2(c_0(c_0(c_2(c_0(c_1(c_2(c_2(c_0(c_2(c_1(c_2(c_1(c_2(c_0(c_1(c_0(c_1(c_2(c_0(c_2(c_1(c_0(c_1(c_2(c_0(c_1(c_0(c_0(c_2(c_0(c_1(c_1(c_0(c_1(c_2(c_1(c_1(c_2(c_2(c_1(c_1(c_0(c_2(x13))))))))))))))))))))))))))))))))))))))))))))) -> 1'(2'(2'(0'(2'(1'(2'(2'(0'(1'(0'(2'(1'(0'(1'(2'(1'(2'(2'(2'(2'(0'(2'(2'(0'(2'(0'(2'(2'(2'(0'(1'(1'(2'(1'(2'(2'(1'(2'(1'(0'(2'(2'(2'(1'(2'(1'(1'(0'(0'(1'(0'(2'(x13))))))))))))))))))))))))))))))))))))))))))))))))))))) [2] 1'(c_2(c_0(c_0(c_2(c_0(c_1(c_2(c_2(c_0(c_2(c_1(c_2(c_1(c_2(c_0(c_1(c_0(c_1(c_2(c_0(c_2(c_1(c_1(c_1(c_1(c_1(c_2(c_1(c_1(c_2(c_2(c_0(c_1(c_0(c_1(c_1(c_0(c_2(c_0(c_0(c_2(c_0(c_1(c_0(x14))))))))))))))))))))))))))))))))))))))))))))) -> 1'(2'(2'(0'(2'(1'(2'(2'(0'(1'(0'(2'(1'(0'(1'(2'(1'(2'(2'(2'(2'(0'(2'(2'(0'(2'(2'(2'(2'(2'(2'(1'(0'(1'(2'(2'(0'(1'(1'(1'(2'(2'(1'(1'(0'(0'(0'(0'(2'(2'(1'(2'(2'(x14))))))))))))))))))))))))))))))))))))))))))))))))))))) [2] 1'(c_2(c_0(c_0(c_2(c_0(c_1(c_2(c_2(c_0(c_2(c_1(c_2(c_1(c_2(c_0(c_1(c_0(c_1(c_2(c_0(c_2(c_1(c_1(c_2(c_1(c_1(c_2(c_2(c_2(c_1(c_1(c_0(c_0(c_1(c_0(c_2(c_0(c_2(c_2(c_1(c_0(c_2(c_1(c_1(x15))))))))))))))))))))))))))))))))))))))))))))) -> 1'(2'(2'(0'(2'(1'(2'(2'(0'(1'(0'(2'(1'(0'(1'(2'(1'(2'(2'(2'(2'(0'(2'(2'(0'(2'(2'(1'(2'(1'(2'(1'(2'(2'(0'(2'(0'(1'(2'(1'(2'(1'(2'(0'(1'(2'(0'(0'(2'(2'(1'(1'(2'(x15))))))))))))))))))))))))))))))))))))))))))))))))))))) [2] 1'(c_2(c_0(c_0(c_2(c_0(c_1(c_2(c_2(c_0(c_2(c_1(c_2(c_1(c_2(c_0(c_1(c_0(c_1(c_2(c_0(c_2(c_1(c_0(c_1(c_0(c_2(c_2(c_1(c_2(c_0(c_0(c_1(c_2(c_0(c_2(c_2(c_2(c_1(c_1(c_2(c_0(c_0(c_2(c_1(x16))))))))))))))))))))))))))))))))))))))))))))) -> 1'(2'(2'(0'(2'(1'(2'(2'(0'(1'(0'(2'(1'(0'(1'(2'(1'(2'(2'(2'(2'(0'(2'(2'(0'(2'(0'(1'(1'(1'(0'(2'(1'(2'(1'(2'(0'(1'(1'(2'(1'(1'(2'(2'(2'(2'(2'(0'(2'(2'(2'(1'(2'(x16))))))))))))))))))))))))))))))))))))))))))))))))))))) [2] 1'(c_2(c_0(c_0(c_2(c_0(c_1(c_2(c_2(c_0(c_2(c_1(c_2(c_1(c_2(c_0(c_1(c_0(c_1(c_2(c_0(c_2(c_1(c_0(c_0(c_0(c_1(c_0(c_0(c_2(c_2(c_1(c_0(c_2(c_0(c_2(c_1(c_1(c_2(c_1(c_2(c_2(c_0(c_1(c_1(x17))))))))))))))))))))))))))))))))))))))))))))) -> 1'(2'(2'(0'(2'(1'(2'(2'(0'(1'(0'(2'(1'(0'(1'(2'(1'(2'(2'(2'(2'(0'(2'(2'(0'(2'(0'(1'(2'(0'(0'(2'(1'(2'(2'(1'(1'(2'(1'(1'(1'(1'(2'(2'(2'(1'(2'(1'(0'(2'(1'(1'(0'(x17))))))))))))))))))))))))))))))))))))))))))))))))))))) [2] 1'(c_2(c_0(c_0(c_2(c_0(c_1(c_2(c_2(c_0(c_2(c_1(c_2(c_1(c_2(c_0(c_1(c_0(c_1(c_2(c_0(c_2(c_1(c_0(c_0(c_2(c_2(c_0(c_2(c_2(c_2(c_1(c_1(c_0(c_2(c_2(c_1(c_2(c_1(c_0(c_2(c_0(c_0(c_0(c_1(x18))))))))))))))))))))))))))))))))))))))))))))) -> 1'(2'(2'(0'(2'(1'(2'(2'(0'(1'(0'(2'(1'(0'(1'(2'(1'(2'(2'(2'(2'(0'(2'(2'(0'(2'(2'(0'(1'(1'(1'(2'(2'(1'(1'(2'(2'(2'(2'(1'(0'(1'(2'(1'(1'(2'(2'(2'(1'(2'(1'(2'(2'(x18))))))))))))))))))))))))))))))))))))))))))))))))))))) [2] 1'(c_2(c_0(c_0(c_2(c_0(c_1(c_2(c_2(c_0(c_2(c_1(c_2(c_1(c_2(c_0(c_1(c_0(c_1(c_2(c_0(c_2(c_1(x1))))))))))))))))))))))) -> 1'(2'(2'(0'(2'(1'(2'(2'(0'(1'(0'(2'(1'(0'(1'(2'(1'(2'(2'(2'(2'(0'(2'(2'(0'(2'(c_0(x1))))))))))))))))))))))))))) [1] 1'(c_2(c_0(c_0(c_2(c_0(c_1(c_2(c_2(c_0(c_2(c_1(c_2(c_1(c_2(c_0(c_1(c_0(c_1(c_2(c_0(c_2(c_1(x1))))))))))))))))))))))) -> 1'(2'(2'(0'(2'(1'(2'(2'(0'(1'(0'(2'(1'(0'(1'(2'(1'(2'(2'(2'(2'(0'(2'(2'(0'(2'(const)))))))))))))))))))))))))) [1] 1'(c_1(c_0(c_2(c_1(c_2(c_2(c_2(c_2(c_1(c_0(c_1(c_2(c_0(c_1(c_2(c_1(c_1(c_0(c_2(c_1(c_2(c_0(x1))))))))))))))))))))))) -> 2'(2'(1'(2'(1'(2'(2'(1'(0'(1'(2'(2'(2'(1'(0'(2'(1'(1'(2'(1'(0'(1'(1'(1'(2'(2'(2'(x1))))))))))))))))))))))))))) [1] 2'(c_2(c_1(c_1(c_1(c_0(c_0(c_2(c_1(c_0(c_2(c_1(c_2(c_0(c_0(c_2(c_1(c_0(c_1(c_1(c_2(c_2(c_1(c_2(c_0(c_0(c_2(c_0(c_1(c_2(c_2(c_0(c_2(c_1(c_2(c_1(c_2(c_0(c_1(c_0(c_1(c_2(c_0(c_2(c_1(x128))))))))))))))))))))))))))))))))))))))))))))) -> 2'(1'(2'(2'(0'(1'(2'(1'(1'(0'(1'(2'(1'(0'(0'(1'(2'(2'(1'(2'(1'(0'(2'(1'(2'(2'(1'(2'(2'(0'(2'(1'(2'(2'(0'(1'(0'(2'(1'(0'(1'(2'(1'(2'(2'(2'(2'(0'(2'(2'(0'(2'(0'(x128))))))))))))))))))))))))))))))))))))))))))))))))))))) [2] 2'(c_2(c_1(c_1(c_1(c_0(c_0(c_2(c_1(c_0(c_2(c_1(c_2(c_0(c_0(c_2(c_1(c_0(c_1(c_1(c_2(c_2(c_1(c_1(c_0(c_2(c_1(c_2(c_2(c_2(c_2(c_1(c_0(c_1(c_2(c_0(c_1(c_2(c_1(c_1(c_0(c_2(c_1(c_2(c_0(x129))))))))))))))))))))))))))))))))))))))))))))) -> 2'(1'(2'(2'(0'(1'(2'(1'(1'(0'(1'(2'(1'(0'(0'(1'(2'(2'(1'(2'(1'(0'(2'(1'(2'(2'(2'(2'(1'(2'(1'(2'(2'(1'(0'(1'(2'(2'(2'(1'(0'(2'(1'(1'(2'(1'(0'(1'(1'(1'(2'(2'(2'(x129))))))))))))))))))))))))))))))))))))))))))))))))))))) [2] 2'(c_2(c_1(c_1(c_1(c_0(c_0(c_2(c_1(c_0(c_2(c_1(c_2(c_0(c_0(c_2(c_1(c_0(c_1(c_1(c_2(c_2(c_1(c_1(c_0(c_1(c_2(c_2(c_2(c_2(c_1(c_0(c_2(c_1(c_2(c_0(c_0(c_0(c_1(c_0(c_2(c_1(c_1(c_1(c_2(x130))))))))))))))))))))))))))))))))))))))))))))) -> 2'(1'(2'(2'(0'(1'(2'(1'(1'(0'(1'(2'(1'(0'(0'(1'(2'(2'(1'(2'(1'(0'(2'(1'(2'(2'(2'(1'(2'(1'(2'(2'(2'(2'(2'(0'(0'(0'(0'(2'(1'(2'(2'(2'(2'(1'(2'(2'(2'(0'(0'(2'(2'(x130))))))))))))))))))))))))))))))))))))))))))))))))))))) [2] 2'(c_2(c_1(c_1(c_1(c_0(c_0(c_2(c_1(c_0(c_2(c_1(c_2(c_0(c_0(c_2(c_1(c_0(c_1(c_1(c_2(c_2(c_1(c_1(c_2(c_2(c_1(c_0(c_2(c_0(c_1(c_1(c_2(c_2(c_2(c_1(c_0(c_1(c_0(c_0(c_2(c_1(c_1(c_0(c_2(x131))))))))))))))))))))))))))))))))))))))))))))) -> 2'(1'(2'(2'(0'(1'(2'(1'(1'(0'(1'(2'(1'(0'(0'(1'(2'(2'(1'(2'(1'(0'(2'(1'(2'(2'(2'(2'(2'(1'(1'(2'(2'(2'(1'(2'(2'(0'(0'(2'(0'(0'(1'(2'(0'(2'(2'(1'(2'(2'(2'(0'(2'(x131))))))))))))))))))))))))))))))))))))))))))))))))))))) [2] 2'(c_2(c_1(c_1(c_1(c_0(c_0(c_2(c_1(c_0(c_2(c_1(c_2(c_0(c_0(c_2(c_1(c_0(c_1(c_1(c_2(c_2(c_1(c_0(c_1(c_0(c_2(c_2(c_2(c_2(c_1(c_0(c_0(c_2(c_0(c_2(c_1(c_2(c_1(c_2(c_1(c_1(c_2(c_0(c_2(x132))))))))))))))))))))))))))))))))))))))))))))) -> 2'(1'(2'(2'(0'(1'(2'(1'(1'(0'(1'(2'(1'(0'(0'(1'(2'(2'(1'(2'(1'(0'(2'(1'(2'(2'(2'(1'(2'(0'(2'(0'(2'(0'(2'(2'(2'(2'(1'(2'(1'(2'(2'(2'(1'(1'(2'(1'(0'(1'(1'(2'(2'(x132))))))))))))))))))))))))))))))))))))))))))))))))))))) [2] 2'(c_2(c_1(c_1(c_1(c_0(c_0(c_2(c_1(c_0(c_2(c_1(c_2(c_0(c_0(c_2(c_1(c_0(c_1(c_1(c_2(c_2(c_1(c_1(c_1(c_0(c_2(c_2(c_1(c_1(c_1(c_2(c_2(c_0(c_2(c_0(c_2(c_1(c_1(c_2(c_1(c_2(c_1(c_2(c_2(x133))))))))))))))))))))))))))))))))))))))))))))) -> 2'(1'(2'(2'(0'(1'(2'(1'(1'(0'(1'(2'(1'(0'(0'(1'(2'(2'(1'(2'(1'(0'(2'(1'(2'(2'(1'(2'(1'(2'(1'(1'(1'(1'(2'(1'(1'(1'(2'(2'(0'(1'(0'(2'(2'(1'(2'(2'(2'(1'(0'(1'(2'(x133))))))))))))))))))))))))))))))))))))))))))))))))))))) [2] 2'(c_2(c_1(c_1(c_1(c_0(c_0(c_2(c_1(c_0(c_2(c_1(c_2(c_0(c_0(c_2(c_1(c_0(c_1(c_1(c_2(c_2(c_1(c_0(c_0(c_1(c_0(c_1(c_1(c_0(c_2(c_1(c_1(c_2(c_1(c_2(c_1(c_2(c_0(c_1(c_2(c_2(c_1(c_2(c_1(x134))))))))))))))))))))))))))))))))))))))))))))) -> 2'(1'(2'(2'(0'(1'(2'(1'(1'(0'(1'(2'(1'(0'(0'(1'(2'(2'(1'(2'(1'(0'(2'(1'(2'(2'(1'(2'(0'(0'(1'(1'(2'(2'(1'(2'(0'(2'(2'(0'(1'(1'(2'(2'(2'(1'(2'(2'(2'(2'(2'(1'(2'(x134))))))))))))))))))))))))))))))))))))))))))))))))))))) [2] 2'(c_2(c_1(c_1(c_1(c_0(c_0(c_2(c_1(c_0(c_2(c_1(c_2(c_0(c_0(c_2(c_1(c_0(c_1(c_1(c_2(c_2(c_1(c_2(c_2(c_2(c_1(c_1(c_0(c_0(c_2(c_2(c_2(c_0(c_0(c_0(c_2(c_1(c_2(c_2(c_0(c_2(c_0(c_2(c_0(x135))))))))))))))))))))))))))))))))))))))))))))) -> 2'(1'(2'(2'(0'(1'(2'(1'(1'(0'(1'(2'(1'(0'(0'(1'(2'(2'(1'(2'(1'(0'(2'(1'(2'(2'(1'(2'(1'(2'(0'(0'(1'(1'(1'(2'(2'(2'(2'(1'(2'(2'(2'(0'(2'(0'(1'(2'(2'(2'(2'(0'(0'(x135))))))))))))))))))))))))))))))))))))))))))))))))))))) [2] 2'(c_2(c_1(c_1(c_1(c_0(c_0(c_2(c_1(c_0(c_2(c_1(c_2(c_0(c_0(c_2(c_1(c_0(c_1(c_1(c_2(c_2(c_1(c_2(c_0(c_2(c_1(c_2(c_2(c_1(c_2(c_2(c_2(c_0(c_1(c_1(c_1(c_1(c_0(c_1(c_0(c_0(c_2(c_0(c_1(x136))))))))))))))))))))))))))))))))))))))))))))) -> 2'(1'(2'(2'(0'(1'(2'(1'(1'(0'(1'(2'(1'(0'(0'(1'(2'(2'(1'(2'(1'(0'(2'(1'(2'(2'(1'(2'(1'(2'(1'(2'(2'(2'(2'(2'(2'(0'(0'(2'(0'(0'(2'(2'(0'(1'(1'(1'(1'(0'(0'(2'(1'(x136))))))))))))))))))))))))))))))))))))))))))))))))))))) [2] 2'(c_2(c_1(c_1(c_1(c_0(c_0(c_2(c_1(c_0(c_2(c_1(c_2(c_0(c_0(c_2(c_1(c_0(c_1(c_1(c_2(c_2(c_1(c_1(c_0(c_2(c_1(c_0(c_2(c_0(c_1(c_2(c_0(c_2(c_0(c_0(c_2(c_1(c_0(c_1(c_0(c_1(c_2(c_1(c_2(x137))))))))))))))))))))))))))))))))))))))))))))) -> 2'(1'(2'(2'(0'(1'(2'(1'(1'(0'(1'(2'(1'(0'(0'(1'(2'(2'(1'(2'(1'(0'(2'(1'(2'(2'(2'(0'(2'(2'(1'(1'(1'(2'(2'(0'(1'(2'(0'(2'(1'(1'(2'(1'(0'(0'(2'(0'(1'(2'(2'(2'(2'(x137))))))))))))))))))))))))))))))))))))))))))))))))))))) [2] 2'(c_2(c_1(c_1(c_1(c_0(c_0(c_2(c_1(c_0(c_2(c_1(c_2(c_0(c_0(c_2(c_1(c_0(c_1(c_1(c_2(c_2(c_1(c_1(c_0(c_0(c_1(c_1(c_1(c_2(c_2(c_2(c_1(c_2(c_1(c_0(c_0(c_0(c_2(c_2(c_2(c_0(c_1(c_2(c_0(x138))))))))))))))))))))))))))))))))))))))))))))) -> 2'(1'(2'(2'(0'(1'(2'(1'(1'(0'(1'(2'(1'(0'(0'(1'(2'(2'(1'(2'(1'(0'(2'(1'(2'(2'(2'(1'(2'(1'(2'(2'(2'(1'(2'(2'(0'(2'(2'(1'(0'(2'(1'(2'(2'(0'(1'(0'(1'(1'(2'(2'(2'(x138))))))))))))))))))))))))))))))))))))))))))))))))))))) [2] 2'(c_2(c_1(c_1(c_1(c_0(c_0(c_2(c_1(c_0(c_2(c_1(c_2(c_0(c_0(c_2(c_1(c_0(c_1(c_1(c_2(c_2(c_1(x1))))))))))))))))))))))) -> 2'(1'(2'(2'(0'(1'(2'(1'(1'(0'(1'(2'(1'(0'(0'(1'(2'(2'(1'(2'(1'(0'(2'(1'(2'(2'(c_1(x1))))))))))))))))))))))))))) [1] 2'(c_2(c_1(c_1(c_1(c_0(c_0(c_2(c_1(c_0(c_2(c_1(c_2(c_0(c_0(c_2(c_1(c_0(c_1(c_1(c_2(c_2(c_1(x1))))))))))))))))))))))) -> 2'(1'(2'(2'(0'(1'(2'(1'(1'(0'(1'(2'(1'(0'(0'(1'(2'(2'(1'(2'(1'(0'(2'(1'(2'(2'(const)))))))))))))))))))))))))) [1] 2'(c_2(c_1(c_1(c_2(c_0(c_0(c_2(c_2(c_2(c_2(c_1(c_1(c_1(c_1(c_1(c_2(c_1(c_2(c_0(c_0(c_1(c_1(x1))))))))))))))))))))))) -> 2'(2'(1'(1'(2'(2'(1'(2'(1'(2'(2'(0'(0'(0'(2'(1'(0'(2'(2'(1'(2'(2'(0'(1'(1'(2'(2'(x1))))))))))))))))))))))))))) [1] 0'(c_0(c_2(c_0(c_2(c_2(c_1(c_2(c_1(c_1(c_2(c_1(c_1(c_2(c_1(c_0(c_0(c_0(c_0(c_1(c_1(c_2(c_1(x1))))))))))))))))))))))) -> 0'(0'(1'(2'(2'(1'(1'(2'(2'(1'(1'(2'(2'(2'(2'(0'(1'(2'(1'(2'(1'(1'(1'(0'(1'(2'(2'(x1))))))))))))))))))))))))))) [1] 2'(c_1(c_0(c_1(c_0(c_0(c_2(c_2(c_2(c_0(c_1(c_0(c_0(c_2(c_0(c_0(c_1(c_2(c_0(c_2(c_2(c_2(c_0(c_0(c_2(c_0(c_2(c_2(c_1(c_2(c_1(c_1(c_2(c_1(c_1(c_2(c_1(c_0(c_0(c_0(c_0(c_1(c_1(c_2(c_1(x177))))))))))))))))))))))))))))))))))))))))))))) -> 2'(1'(1'(2'(0'(1'(2'(0'(0'(2'(0'(1'(2'(2'(1'(1'(1'(2'(2'(2'(0'(0'(1'(1'(0'(2'(0'(0'(1'(2'(2'(1'(1'(2'(2'(1'(1'(2'(2'(2'(2'(0'(1'(2'(1'(2'(1'(1'(1'(0'(1'(2'(2'(x177))))))))))))))))))))))))))))))))))))))))))))))))))))) [2] 2'(c_1(c_0(c_1(c_0(c_0(c_2(c_2(c_2(c_0(c_1(c_0(c_0(c_2(c_0(c_0(c_1(c_2(c_0(c_2(c_2(c_2(c_0(c_1(c_1(c_1(c_2(c_2(c_1(c_0(c_0(c_2(c_2(c_2(c_2(c_0(c_2(c_0(c_0(c_0(c_0(c_1(c_0(c_0(c_2(x178))))))))))))))))))))))))))))))))))))))))))))) -> 2'(1'(1'(2'(0'(1'(2'(0'(0'(2'(0'(1'(2'(2'(1'(1'(1'(2'(2'(2'(0'(0'(1'(1'(0'(2'(0'(2'(1'(1'(1'(1'(2'(2'(1'(1'(0'(1'(1'(2'(1'(2'(1'(0'(0'(1'(2'(2'(1'(0'(0'(2'(2'(x178))))))))))))))))))))))))))))))))))))))))))))))))))))) [2] 2'(c_1(c_0(c_1(c_0(c_0(c_2(c_2(c_2(c_0(c_1(c_0(c_0(c_2(c_0(c_0(c_1(c_2(c_0(c_2(c_2(c_2(c_0(c_1(c_1(c_0(c_1(c_1(c_1(c_2(c_2(c_0(c_2(c_0(c_1(c_2(c_2(c_2(c_0(c_1(c_2(c_0(c_1(c_0(c_2(x179))))))))))))))))))))))))))))))))))))))))))))) -> 2'(1'(1'(2'(0'(1'(2'(0'(0'(2'(0'(1'(2'(2'(1'(1'(1'(2'(2'(2'(0'(0'(1'(1'(0'(2'(0'(2'(0'(1'(0'(2'(0'(2'(2'(2'(1'(2'(1'(1'(2'(2'(2'(2'(2'(2'(2'(1'(0'(0'(0'(2'(2'(x179))))))))))))))))))))))))))))))))))))))))))))))))))))) [2] 2'(c_1(c_0(c_1(c_0(c_0(c_2(c_2(c_2(c_0(c_1(c_0(c_0(c_2(c_0(c_0(c_1(c_2(c_0(c_2(c_2(c_2(c_0(c_1(c_0(c_0(c_1(c_2(c_2(c_1(c_0(c_1(c_2(c_1(c_2(c_0(c_1(c_0(c_2(c_2(c_0(c_1(c_2(c_1(c_0(x180))))))))))))))))))))))))))))))))))))))))))))) -> 2'(1'(1'(2'(0'(1'(2'(0'(0'(2'(0'(1'(2'(2'(1'(1'(1'(2'(2'(2'(0'(0'(1'(1'(0'(2'(0'(0'(0'(1'(2'(2'(2'(2'(2'(2'(2'(0'(0'(0'(0'(1'(2'(1'(2'(2'(2'(1'(0'(2'(0'(2'(0'(x180))))))))))))))))))))))))))))))))))))))))))))))))))))) [2] 2'(c_1(c_0(c_1(c_0(c_0(c_2(c_2(c_2(c_0(c_1(c_0(c_0(c_2(c_0(c_0(c_1(c_2(c_0(c_2(c_2(c_2(c_0(c_0(c_1(c_2(c_0(c_1(c_0(c_0(c_2(c_0(c_1(c_1(c_0(c_1(c_2(c_1(c_1(c_2(c_2(c_1(c_1(c_0(c_2(x181))))))))))))))))))))))))))))))))))))))))))))) -> 2'(1'(1'(2'(0'(1'(2'(0'(0'(2'(0'(1'(2'(2'(1'(1'(1'(2'(2'(2'(0'(0'(1'(1'(0'(2'(0'(2'(2'(2'(0'(1'(1'(2'(1'(2'(2'(1'(2'(1'(0'(2'(2'(2'(1'(2'(1'(1'(0'(0'(1'(0'(2'(x181))))))))))))))))))))))))))))))))))))))))))))))))))))) [2] 2'(c_1(c_0(c_1(c_0(c_0(c_2(c_2(c_2(c_0(c_1(c_0(c_0(c_2(c_0(c_0(c_1(c_2(c_0(c_2(c_2(c_2(c_0(c_1(c_1(c_1(c_1(c_2(c_1(c_1(c_2(c_2(c_0(c_1(c_0(c_1(c_1(c_0(c_2(c_0(c_0(c_2(c_0(c_1(c_0(x182))))))))))))))))))))))))))))))))))))))))))))) -> 2'(1'(1'(2'(0'(1'(2'(0'(0'(2'(0'(1'(2'(2'(1'(1'(1'(2'(2'(2'(0'(0'(1'(1'(0'(2'(2'(2'(2'(2'(2'(1'(0'(1'(2'(2'(0'(1'(1'(1'(2'(2'(1'(1'(0'(0'(0'(0'(2'(2'(1'(2'(2'(x182))))))))))))))))))))))))))))))))))))))))))))))))))))) [2] 2'(c_1(c_0(c_1(c_0(c_0(c_2(c_2(c_2(c_0(c_1(c_0(c_0(c_2(c_0(c_0(c_1(c_2(c_0(c_2(c_2(c_2(c_0(c_1(c_2(c_1(c_1(c_2(c_2(c_2(c_1(c_1(c_0(c_0(c_1(c_0(c_2(c_0(c_2(c_2(c_1(c_0(c_2(c_1(c_1(x183))))))))))))))))))))))))))))))))))))))))))))) -> 2'(1'(1'(2'(0'(1'(2'(0'(0'(2'(0'(1'(2'(2'(1'(1'(1'(2'(2'(2'(0'(0'(1'(1'(0'(2'(2'(1'(2'(1'(2'(1'(2'(2'(0'(2'(0'(1'(2'(1'(2'(1'(2'(0'(1'(2'(0'(0'(2'(2'(1'(1'(2'(x183))))))))))))))))))))))))))))))))))))))))))))))))))))) [2] 2'(c_1(c_0(c_1(c_0(c_0(c_2(c_2(c_2(c_0(c_1(c_0(c_0(c_2(c_0(c_0(c_1(c_2(c_0(c_2(c_2(c_2(c_0(c_0(c_1(c_0(c_2(c_2(c_1(c_2(c_0(c_0(c_1(c_2(c_0(c_2(c_2(c_2(c_1(c_1(c_2(c_0(c_0(c_2(c_1(x184))))))))))))))))))))))))))))))))))))))))))))) -> 2'(1'(1'(2'(0'(1'(2'(0'(0'(2'(0'(1'(2'(2'(1'(1'(1'(2'(2'(2'(0'(0'(1'(1'(0'(2'(0'(1'(1'(1'(0'(2'(1'(2'(1'(2'(0'(1'(1'(2'(1'(1'(2'(2'(2'(2'(2'(0'(2'(2'(2'(1'(2'(x184))))))))))))))))))))))))))))))))))))))))))))))))))))) [2] 2'(c_1(c_0(c_1(c_0(c_0(c_2(c_2(c_2(c_0(c_1(c_0(c_0(c_2(c_0(c_0(c_1(c_2(c_0(c_2(c_2(c_2(c_0(c_0(c_0(c_0(c_1(c_0(c_0(c_2(c_2(c_1(c_0(c_2(c_0(c_2(c_1(c_1(c_2(c_1(c_2(c_2(c_0(c_1(c_1(x185))))))))))))))))))))))))))))))))))))))))))))) -> 2'(1'(1'(2'(0'(1'(2'(0'(0'(2'(0'(1'(2'(2'(1'(1'(1'(2'(2'(2'(0'(0'(1'(1'(0'(2'(0'(1'(2'(0'(0'(2'(1'(2'(2'(1'(1'(2'(1'(1'(1'(1'(2'(2'(2'(1'(2'(1'(0'(2'(1'(1'(0'(x185))))))))))))))))))))))))))))))))))))))))))))))))))))) [2] 2'(c_1(c_0(c_1(c_0(c_0(c_2(c_2(c_2(c_0(c_1(c_0(c_0(c_2(c_0(c_0(c_1(c_2(c_0(c_2(c_2(c_2(c_0(c_0(c_0(c_2(c_2(c_0(c_2(c_2(c_2(c_1(c_1(c_0(c_2(c_2(c_1(c_2(c_1(c_0(c_2(c_0(c_0(c_0(c_1(x186))))))))))))))))))))))))))))))))))))))))))))) -> 2'(1'(1'(2'(0'(1'(2'(0'(0'(2'(0'(1'(2'(2'(1'(1'(1'(2'(2'(2'(0'(0'(1'(1'(0'(2'(2'(0'(1'(1'(1'(2'(2'(1'(1'(2'(2'(2'(2'(1'(0'(1'(2'(1'(1'(2'(2'(2'(1'(2'(1'(2'(2'(x186))))))))))))))))))))))))))))))))))))))))))))))))))))) [2] 2'(c_1(c_0(c_1(c_0(c_0(c_2(c_2(c_2(c_0(c_1(c_0(c_0(c_2(c_0(c_0(c_1(c_2(c_0(c_2(c_2(c_2(c_0(x1))))))))))))))))))))))) -> 2'(1'(1'(2'(0'(1'(2'(0'(0'(2'(0'(1'(2'(2'(1'(1'(1'(2'(2'(2'(0'(0'(1'(1'(0'(2'(c_0(x1))))))))))))))))))))))))))) [1] 2'(c_1(c_0(c_1(c_0(c_0(c_2(c_2(c_2(c_0(c_1(c_0(c_0(c_2(c_0(c_0(c_1(c_2(c_0(c_2(c_2(c_2(c_0(x1))))))))))))))))))))))) -> 2'(1'(1'(2'(0'(1'(2'(0'(0'(2'(0'(1'(2'(2'(1'(1'(1'(2'(2'(2'(0'(0'(1'(1'(0'(2'(const)))))))))))))))))))))))))) [1] 0'(c_1(c_1(c_1(c_2(c_2(c_1(c_0(c_0(c_2(c_2(c_2(c_2(c_0(c_2(c_0(c_0(c_0(c_0(c_1(c_0(c_0(c_2(x1))))))))))))))))))))))) -> 0'(2'(1'(1'(1'(1'(2'(2'(1'(1'(0'(1'(1'(2'(1'(2'(1'(0'(0'(1'(2'(2'(1'(0'(0'(2'(2'(x1))))))))))))))))))))))))))) [1] 0'(c_1(c_1(c_0(c_1(c_1(c_1(c_2(c_2(c_0(c_2(c_0(c_1(c_2(c_2(c_2(c_0(c_1(c_2(c_0(c_1(c_0(c_2(x1))))))))))))))))))))))) -> 0'(2'(0'(1'(0'(2'(0'(2'(2'(2'(1'(2'(1'(1'(2'(2'(2'(2'(2'(2'(2'(1'(0'(0'(0'(2'(2'(x1))))))))))))))))))))))))))) [1] 2'(c_0(c_2(c_0(c_1(c_0(c_1(c_1(c_2(c_0(c_1(c_1(c_2(c_2(c_1(c_0(c_2(c_0(c_2(c_0(c_2(c_2(c_2(x1))))))))))))))))))))))) -> 2'(0'(0'(1'(1'(2'(0'(2'(2'(1'(1'(2'(2'(0'(1'(2'(2'(2'(0'(0'(2'(0'(2'(2'(2'(0'(2'(x1))))))))))))))))))))))))))) [1] 2'(c_2(c_0(c_1(c_2(c_2(c_2(c_0(c_2(c_2(c_2(c_0(c_2(c_2(c_2(c_2(c_1(c_0(c_1(c_0(c_0(c_1(c_0(c_0(c_2(c_0(c_2(c_2(c_1(c_2(c_1(c_1(c_2(c_1(c_1(c_2(c_1(c_0(c_0(c_0(c_0(c_1(c_1(c_2(c_1(x1144))))))))))))))))))))))))))))))))))))))))))))) -> 2'(2'(0'(1'(1'(2'(2'(2'(1'(1'(2'(1'(0'(0'(1'(2'(2'(1'(2'(1'(0'(2'(2'(0'(0'(2'(0'(0'(1'(2'(2'(1'(1'(2'(2'(1'(1'(2'(2'(2'(2'(0'(1'(2'(1'(2'(1'(1'(1'(0'(1'(2'(2'(x1144))))))))))))))))))))))))))))))))))))))))))))))))))))) [2] 2'(c_2(c_0(c_1(c_2(c_2(c_2(c_0(c_2(c_2(c_2(c_0(c_2(c_2(c_2(c_2(c_1(c_0(c_1(c_0(c_0(c_1(c_0(c_1(c_1(c_1(c_2(c_2(c_1(c_0(c_0(c_2(c_2(c_2(c_2(c_0(c_2(c_0(c_0(c_0(c_0(c_1(c_0(c_0(c_2(x1145))))))))))))))))))))))))))))))))))))))))))))) -> 2'(2'(0'(1'(1'(2'(2'(2'(1'(1'(2'(1'(0'(0'(1'(2'(2'(1'(2'(1'(0'(2'(2'(0'(0'(2'(0'(2'(1'(1'(1'(1'(2'(2'(1'(1'(0'(1'(1'(2'(1'(2'(1'(0'(0'(1'(2'(2'(1'(0'(0'(2'(2'(x1145))))))))))))))))))))))))))))))))))))))))))))))))))))) [2] 2'(c_2(c_0(c_1(c_2(c_2(c_2(c_0(c_2(c_2(c_2(c_0(c_2(c_2(c_2(c_2(c_1(c_0(c_1(c_0(c_0(c_1(c_0(c_1(c_1(c_0(c_1(c_1(c_1(c_2(c_2(c_0(c_2(c_0(c_1(c_2(c_2(c_2(c_0(c_1(c_2(c_0(c_1(c_0(c_2(x1146))))))))))))))))))))))))))))))))))))))))))))) -> 2'(2'(0'(1'(1'(2'(2'(2'(1'(1'(2'(1'(0'(0'(1'(2'(2'(1'(2'(1'(0'(2'(2'(0'(0'(2'(0'(2'(0'(1'(0'(2'(0'(2'(2'(2'(1'(2'(1'(1'(2'(2'(2'(2'(2'(2'(2'(1'(0'(0'(0'(2'(2'(x1146))))))))))))))))))))))))))))))))))))))))))))))))))))) [2] 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1'(2'(2'(2'(2'(0'(1'(2'(1'(2'(0'(1'(2'(1'(2'(1'(0'(1'(0'(1'(0'(1'(1'(2'(2'(1'(0'(2'(1'(1'(1'(1'(2'(2'(1'(1'(0'(1'(1'(2'(1'(2'(1'(0'(0'(1'(2'(2'(1'(0'(0'(2'(2'(x1346))))))))))))))))))))))))))))))))))))))))))))))))))))) [2] 2'(c_2(c_2(c_0(c_0(c_1(c_0(c_0(c_2(c_0(c_0(c_2(c_1(c_1(c_2(c_1(c_0(c_1(c_2(c_2(c_2(c_1(c_0(c_1(c_1(c_0(c_1(c_1(c_1(c_2(c_2(c_0(c_2(c_0(c_1(c_2(c_2(c_2(c_0(c_1(c_2(c_0(c_1(c_0(c_2(x1347))))))))))))))))))))))))))))))))))))))))))))) -> 1'(2'(2'(2'(2'(0'(1'(2'(1'(2'(0'(1'(2'(1'(2'(1'(0'(1'(0'(1'(0'(1'(1'(2'(2'(1'(0'(2'(0'(1'(0'(2'(0'(2'(2'(2'(1'(2'(1'(1'(2'(2'(2'(2'(2'(2'(2'(1'(0'(0'(0'(2'(2'(x1347))))))))))))))))))))))))))))))))))))))))))))))))))))) [2] 2'(c_2(c_2(c_0(c_0(c_1(c_0(c_0(c_2(c_0(c_0(c_2(c_1(c_1(c_2(c_1(c_0(c_1(c_2(c_2(c_2(c_1(c_0(c_1(c_0(c_0(c_1(c_2(c_2(c_1(c_0(c_1(c_2(c_1(c_2(c_0(c_1(c_0(c_2(c_2(c_0(c_1(c_2(c_1(c_0(x1348))))))))))))))))))))))))))))))))))))))))))))) -> 1'(2'(2'(2'(2'(0'(1'(2'(1'(2'(0'(1'(2'(1'(2'(1'(0'(1'(0'(1'(0'(1'(1'(2'(2'(1'(0'(0'(0'(1'(2'(2'(2'(2'(2'(2'(2'(0'(0'(0'(0'(1'(2'(1'(2'(2'(2'(1'(0'(2'(0'(2'(0'(x1348))))))))))))))))))))))))))))))))))))))))))))))))))))) [2] 2'(c_2(c_2(c_0(c_0(c_1(c_0(c_0(c_2(c_0(c_0(c_2(c_1(c_1(c_2(c_1(c_0(c_1(c_2(c_2(c_2(c_1(c_0(c_0(c_1(c_2(c_0(c_1(c_0(c_0(c_2(c_0(c_1(c_1(c_0(c_1(c_2(c_1(c_1(c_2(c_2(c_1(c_1(c_0(c_2(x1349))))))))))))))))))))))))))))))))))))))))))))) -> 1'(2'(2'(2'(2'(0'(1'(2'(1'(2'(0'(1'(2'(1'(2'(1'(0'(1'(0'(1'(0'(1'(1'(2'(2'(1'(0'(2'(2'(2'(0'(1'(1'(2'(1'(2'(2'(1'(2'(1'(0'(2'(2'(2'(1'(2'(1'(1'(0'(0'(1'(0'(2'(x1349))))))))))))))))))))))))))))))))))))))))))))))))))))) [2] 2'(c_2(c_2(c_0(c_0(c_1(c_0(c_0(c_2(c_0(c_0(c_2(c_1(c_1(c_2(c_1(c_0(c_1(c_2(c_2(c_2(c_1(c_0(c_1(c_1(c_1(c_1(c_2(c_1(c_1(c_2(c_2(c_0(c_1(c_0(c_1(c_1(c_0(c_2(c_0(c_0(c_2(c_0(c_1(c_0(x1350))))))))))))))))))))))))))))))))))))))))))))) -> 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1'(2'(2'(2'(2'(0'(1'(2'(1'(2'(0'(1'(2'(1'(2'(1'(0'(1'(0'(1'(0'(1'(1'(2'(2'(1'(0'(1'(1'(1'(0'(2'(1'(2'(1'(2'(0'(1'(1'(2'(1'(1'(2'(2'(2'(2'(2'(0'(2'(2'(2'(1'(2'(x1352))))))))))))))))))))))))))))))))))))))))))))))))))))) [2] 2'(c_2(c_2(c_0(c_0(c_1(c_0(c_0(c_2(c_0(c_0(c_2(c_1(c_1(c_2(c_1(c_0(c_1(c_2(c_2(c_2(c_1(c_0(c_0(c_0(c_0(c_1(c_0(c_0(c_2(c_2(c_1(c_0(c_2(c_0(c_2(c_1(c_1(c_2(c_1(c_2(c_2(c_0(c_1(c_1(x1353))))))))))))))))))))))))))))))))))))))))))))) -> 1'(2'(2'(2'(2'(0'(1'(2'(1'(2'(0'(1'(2'(1'(2'(1'(0'(1'(0'(1'(0'(1'(1'(2'(2'(1'(0'(1'(2'(0'(0'(2'(1'(2'(2'(1'(1'(2'(1'(1'(1'(1'(2'(2'(2'(1'(2'(1'(0'(2'(1'(1'(0'(x1353))))))))))))))))))))))))))))))))))))))))))))))))))))) [2] 2'(c_2(c_2(c_0(c_0(c_1(c_0(c_0(c_2(c_0(c_0(c_2(c_1(c_1(c_2(c_1(c_0(c_1(c_2(c_2(c_2(c_1(c_0(c_0(c_0(c_2(c_2(c_0(c_2(c_2(c_2(c_1(c_1(c_0(c_2(c_2(c_1(c_2(c_1(c_0(c_2(c_0(c_0(c_0(c_1(x1354))))))))))))))))))))))))))))))))))))))))))))) -> 1'(2'(2'(2'(2'(0'(1'(2'(1'(2'(0'(1'(2'(1'(2'(1'(0'(1'(0'(1'(0'(1'(1'(2'(2'(1'(2'(0'(1'(1'(1'(2'(2'(1'(1'(2'(2'(2'(2'(1'(0'(1'(2'(1'(1'(2'(2'(2'(1'(2'(1'(2'(2'(x1354))))))))))))))))))))))))))))))))))))))))))))))))))))) [2] 2'(c_2(c_2(c_0(c_0(c_1(c_0(c_0(c_2(c_0(c_0(c_2(c_1(c_1(c_2(c_1(c_0(c_1(c_2(c_2(c_2(c_1(c_0(x1))))))))))))))))))))))) -> 1'(2'(2'(2'(2'(0'(1'(2'(1'(2'(0'(1'(2'(1'(2'(1'(0'(1'(0'(1'(0'(1'(1'(2'(2'(1'(c_0(x1))))))))))))))))))))))))))) [1] 2'(c_2(c_2(c_0(c_0(c_1(c_0(c_0(c_2(c_0(c_0(c_2(c_1(c_1(c_2(c_1(c_0(c_1(c_2(c_2(c_2(c_1(c_0(x1))))))))))))))))))))))) -> 1'(2'(2'(2'(2'(0'(1'(2'(1'(2'(0'(1'(2'(1'(2'(1'(0'(1'(0'(1'(0'(1'(1'(2'(2'(1'(const)))))))))))))))))))))))))) [1] 1'(c_0(c_0(c_1(c_0(c_1(c_1(c_0(c_2(c_1(c_1(c_2(c_1(c_2(c_1(c_2(c_0(c_1(c_2(c_2(c_1(c_2(c_1(x1))))))))))))))))))))))) -> 1'(2'(0'(0'(1'(1'(2'(2'(1'(2'(0'(2'(2'(0'(1'(1'(2'(2'(2'(1'(2'(2'(2'(2'(2'(1'(2'(x1))))))))))))))))))))))))))) [1] 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2'(c_1(c_0(c_1(c_1(c_2(c_0(c_0(c_2(c_1(c_0(c_0(c_0(c_1(c_2(c_1(c_1(c_2(c_0(c_2(c_1(c_2(c_1(c_1(c_0(c_1(c_2(c_2(c_2(c_2(c_1(c_0(c_2(c_1(c_2(c_0(c_0(c_0(c_1(c_0(c_2(c_1(c_1(c_1(c_2(x1376))))))))))))))))))))))))))))))))))))))))))))) -> 2'(0'(2'(2'(0'(0'(2'(2'(1'(1'(1'(2'(0'(1'(0'(1'(2'(2'(2'(2'(2'(0'(0'(0'(2'(2'(2'(1'(2'(1'(2'(2'(2'(2'(2'(0'(0'(0'(0'(2'(1'(2'(2'(2'(2'(1'(2'(2'(2'(0'(0'(2'(2'(x1376))))))))))))))))))))))))))))))))))))))))))))))))))))) [2] 2'(c_1(c_0(c_1(c_1(c_2(c_0(c_0(c_2(c_1(c_0(c_0(c_0(c_1(c_2(c_1(c_1(c_2(c_0(c_2(c_1(c_2(c_1(c_1(c_2(c_2(c_1(c_0(c_2(c_0(c_1(c_1(c_2(c_2(c_2(c_1(c_0(c_1(c_0(c_0(c_2(c_1(c_1(c_0(c_2(x1377))))))))))))))))))))))))))))))))))))))))))))) -> 2'(0'(2'(2'(0'(0'(2'(2'(1'(1'(1'(2'(0'(1'(0'(1'(2'(2'(2'(2'(2'(0'(0'(0'(2'(2'(2'(2'(2'(1'(1'(2'(2'(2'(1'(2'(2'(0'(0'(2'(0'(0'(1'(2'(0'(2'(2'(1'(2'(2'(2'(0'(2'(x1377))))))))))))))))))))))))))))))))))))))))))))))))))))) [2] 2'(c_1(c_0(c_1(c_1(c_2(c_0(c_0(c_2(c_1(c_0(c_0(c_0(c_1(c_2(c_1(c_1(c_2(c_0(c_2(c_1(c_2(c_1(c_0(c_1(c_0(c_2(c_2(c_2(c_2(c_1(c_0(c_0(c_2(c_0(c_2(c_1(c_2(c_1(c_2(c_1(c_1(c_2(c_0(c_2(x1378))))))))))))))))))))))))))))))))))))))))))))) -> 2'(0'(2'(2'(0'(0'(2'(2'(1'(1'(1'(2'(0'(1'(0'(1'(2'(2'(2'(2'(2'(0'(0'(0'(2'(2'(2'(1'(2'(0'(2'(0'(2'(0'(2'(2'(2'(2'(1'(2'(1'(2'(2'(2'(1'(1'(2'(1'(0'(1'(1'(2'(2'(x1378))))))))))))))))))))))))))))))))))))))))))))))))))))) [2] 2'(c_1(c_0(c_1(c_1(c_2(c_0(c_0(c_2(c_1(c_0(c_0(c_0(c_1(c_2(c_1(c_1(c_2(c_0(c_2(c_1(c_2(c_1(c_1(c_1(c_0(c_2(c_2(c_1(c_1(c_1(c_2(c_2(c_0(c_2(c_0(c_2(c_1(c_1(c_2(c_1(c_2(c_1(c_2(c_2(x1379))))))))))))))))))))))))))))))))))))))))))))) -> 2'(0'(2'(2'(0'(0'(2'(2'(1'(1'(1'(2'(0'(1'(0'(1'(2'(2'(2'(2'(2'(0'(0'(0'(2'(2'(1'(2'(1'(2'(1'(1'(1'(1'(2'(1'(1'(1'(2'(2'(0'(1'(0'(2'(2'(1'(2'(2'(2'(1'(0'(1'(2'(x1379))))))))))))))))))))))))))))))))))))))))))))))))))))) [2] 2'(c_1(c_0(c_1(c_1(c_2(c_0(c_0(c_2(c_1(c_0(c_0(c_0(c_1(c_2(c_1(c_1(c_2(c_0(c_2(c_1(c_2(c_1(c_0(c_0(c_1(c_0(c_1(c_1(c_0(c_2(c_1(c_1(c_2(c_1(c_2(c_1(c_2(c_0(c_1(c_2(c_2(c_1(c_2(c_1(x1380))))))))))))))))))))))))))))))))))))))))))))) -> 2'(0'(2'(2'(0'(0'(2'(2'(1'(1'(1'(2'(0'(1'(0'(1'(2'(2'(2'(2'(2'(0'(0'(0'(2'(2'(1'(2'(0'(0'(1'(1'(2'(2'(1'(2'(0'(2'(2'(0'(1'(1'(2'(2'(2'(1'(2'(2'(2'(2'(2'(1'(2'(x1380))))))))))))))))))))))))))))))))))))))))))))))))))))) [2] 2'(c_1(c_0(c_1(c_1(c_2(c_0(c_0(c_2(c_1(c_0(c_0(c_0(c_1(c_2(c_1(c_1(c_2(c_0(c_2(c_1(c_2(c_1(c_2(c_2(c_2(c_1(c_1(c_0(c_0(c_2(c_2(c_2(c_0(c_0(c_0(c_2(c_1(c_2(c_2(c_0(c_2(c_0(c_2(c_0(x1381))))))))))))))))))))))))))))))))))))))))))))) -> 2'(0'(2'(2'(0'(0'(2'(2'(1'(1'(1'(2'(0'(1'(0'(1'(2'(2'(2'(2'(2'(0'(0'(0'(2'(2'(1'(2'(1'(2'(0'(0'(1'(1'(1'(2'(2'(2'(2'(1'(2'(2'(2'(0'(2'(0'(1'(2'(2'(2'(2'(0'(0'(x1381))))))))))))))))))))))))))))))))))))))))))))))))))))) [2] 2'(c_1(c_0(c_1(c_1(c_2(c_0(c_0(c_2(c_1(c_0(c_0(c_0(c_1(c_2(c_1(c_1(c_2(c_0(c_2(c_1(c_2(c_1(c_2(c_0(c_2(c_1(c_2(c_2(c_1(c_2(c_2(c_2(c_0(c_1(c_1(c_1(c_1(c_0(c_1(c_0(c_0(c_2(c_0(c_1(x1382))))))))))))))))))))))))))))))))))))))))))))) -> 2'(0'(2'(2'(0'(0'(2'(2'(1'(1'(1'(2'(0'(1'(0'(1'(2'(2'(2'(2'(2'(0'(0'(0'(2'(2'(1'(2'(1'(2'(1'(2'(2'(2'(2'(2'(2'(0'(0'(2'(0'(0'(2'(2'(0'(1'(1'(1'(1'(0'(0'(2'(1'(x1382))))))))))))))))))))))))))))))))))))))))))))))))))))) [2] 2'(c_1(c_0(c_1(c_1(c_2(c_0(c_0(c_2(c_1(c_0(c_0(c_0(c_1(c_2(c_1(c_1(c_2(c_0(c_2(c_1(c_2(c_1(c_1(c_0(c_2(c_1(c_0(c_2(c_0(c_1(c_2(c_0(c_2(c_0(c_0(c_2(c_1(c_0(c_1(c_0(c_1(c_2(c_1(c_2(x1383))))))))))))))))))))))))))))))))))))))))))))) -> 2'(0'(2'(2'(0'(0'(2'(2'(1'(1'(1'(2'(0'(1'(0'(1'(2'(2'(2'(2'(2'(0'(0'(0'(2'(2'(2'(0'(2'(2'(1'(1'(1'(2'(2'(0'(1'(2'(0'(2'(1'(1'(2'(1'(0'(0'(2'(0'(1'(2'(2'(2'(2'(x1383))))))))))))))))))))))))))))))))))))))))))))))))))))) [2] 2'(c_1(c_0(c_1(c_1(c_2(c_0(c_0(c_2(c_1(c_0(c_0(c_0(c_1(c_2(c_1(c_1(c_2(c_0(c_2(c_1(c_2(c_1(c_1(c_0(c_0(c_1(c_1(c_1(c_2(c_2(c_2(c_1(c_2(c_1(c_0(c_0(c_0(c_2(c_2(c_2(c_0(c_1(c_2(c_0(x1384))))))))))))))))))))))))))))))))))))))))))))) -> 2'(0'(2'(2'(0'(0'(2'(2'(1'(1'(1'(2'(0'(1'(0'(1'(2'(2'(2'(2'(2'(0'(0'(0'(2'(2'(2'(1'(2'(1'(2'(2'(2'(1'(2'(2'(0'(2'(2'(1'(0'(2'(1'(2'(2'(0'(1'(0'(1'(1'(2'(2'(2'(x1384))))))))))))))))))))))))))))))))))))))))))))))))))))) [2] 2'(c_1(c_0(c_1(c_1(c_2(c_0(c_0(c_2(c_1(c_0(c_0(c_0(c_1(c_2(c_1(c_1(c_2(c_0(c_2(c_1(c_2(c_1(x1))))))))))))))))))))))) -> 2'(0'(2'(2'(0'(0'(2'(2'(1'(1'(1'(2'(0'(1'(0'(1'(2'(2'(2'(2'(2'(0'(0'(0'(2'(2'(c_1(x1))))))))))))))))))))))))))) [1] 2'(c_1(c_0(c_1(c_1(c_2(c_0(c_0(c_2(c_1(c_0(c_0(c_0(c_1(c_2(c_1(c_1(c_2(c_0(c_2(c_1(c_2(c_1(x1))))))))))))))))))))))) -> 2'(0'(2'(2'(0'(0'(2'(2'(1'(1'(1'(2'(0'(1'(0'(1'(2'(2'(2'(2'(2'(0'(0'(0'(2'(2'(const)))))))))))))))))))))))))) [1] 2'(c_2(c_1(c_2(c_2(c_0(c_0(c_2(c_1(c_1(c_0(c_2(c_2(c_0(c_2(c_2(c_0(c_2(c_2(c_1(c_2(c_0(c_2(x1))))))))))))))))))))))) -> 1'(2'(1'(1'(1'(2'(2'(2'(1'(2'(1'(0'(2'(1'(1'(1'(1'(2'(2'(0'(0'(1'(1'(0'(2'(1'(2'(x1))))))))))))))))))))))))))) [1] 1'(c_2(c_2(c_2(c_1(c_1(c_0(c_0(c_2(c_2(c_2(c_0(c_0(c_0(c_2(c_1(c_2(c_2(c_0(c_2(c_0(c_2(c_0(c_0(c_2(c_0(c_2(c_2(c_1(c_2(c_1(c_1(c_2(c_1(c_1(c_2(c_1(c_0(c_0(c_0(c_0(c_1(c_1(c_2(c_1(x1404))))))))))))))))))))))))))))))))))))))))))))) -> 1'(2'(1'(2'(0'(0'(1'(1'(1'(2'(2'(2'(2'(1'(2'(2'(2'(0'(2'(0'(1'(2'(2'(2'(2'(0'(0'(0'(1'(2'(2'(1'(1'(2'(2'(1'(1'(2'(2'(2'(2'(0'(1'(2'(1'(2'(1'(1'(1'(0'(1'(2'(2'(x1404))))))))))))))))))))))))))))))))))))))))))))))))))))) [2] 1'(c_2(c_2(c_2(c_1(c_1(c_0(c_0(c_2(c_2(c_2(c_0(c_0(c_0(c_2(c_1(c_2(c_2(c_0(c_2(c_0(c_2(c_0(c_1(c_1(c_1(c_2(c_2(c_1(c_0(c_0(c_2(c_2(c_2(c_2(c_0(c_2(c_0(c_0(c_0(c_0(c_1(c_0(c_0(c_2(x1405))))))))))))))))))))))))))))))))))))))))))))) -> 1'(2'(1'(2'(0'(0'(1'(1'(1'(2'(2'(2'(2'(1'(2'(2'(2'(0'(2'(0'(1'(2'(2'(2'(2'(0'(0'(2'(1'(1'(1'(1'(2'(2'(1'(1'(0'(1'(1'(2'(1'(2'(1'(0'(0'(1'(2'(2'(1'(0'(0'(2'(2'(x1405))))))))))))))))))))))))))))))))))))))))))))))))))))) [2] 1'(c_2(c_2(c_2(c_1(c_1(c_0(c_0(c_2(c_2(c_2(c_0(c_0(c_0(c_2(c_1(c_2(c_2(c_0(c_2(c_0(c_2(c_0(c_1(c_1(c_0(c_1(c_1(c_1(c_2(c_2(c_0(c_2(c_0(c_1(c_2(c_2(c_2(c_0(c_1(c_2(c_0(c_1(c_0(c_2(x1406))))))))))))))))))))))))))))))))))))))))))))) -> 1'(2'(1'(2'(0'(0'(1'(1'(1'(2'(2'(2'(2'(1'(2'(2'(2'(0'(2'(0'(1'(2'(2'(2'(2'(0'(0'(2'(0'(1'(0'(2'(0'(2'(2'(2'(1'(2'(1'(1'(2'(2'(2'(2'(2'(2'(2'(1'(0'(0'(0'(2'(2'(x1406))))))))))))))))))))))))))))))))))))))))))))))))))))) [2] 1'(c_2(c_2(c_2(c_1(c_1(c_0(c_0(c_2(c_2(c_2(c_0(c_0(c_0(c_2(c_1(c_2(c_2(c_0(c_2(c_0(c_2(c_0(c_1(c_0(c_0(c_1(c_2(c_2(c_1(c_0(c_1(c_2(c_1(c_2(c_0(c_1(c_0(c_2(c_2(c_0(c_1(c_2(c_1(c_0(x1407))))))))))))))))))))))))))))))))))))))))))))) -> 1'(2'(1'(2'(0'(0'(1'(1'(1'(2'(2'(2'(2'(1'(2'(2'(2'(0'(2'(0'(1'(2'(2'(2'(2'(0'(0'(0'(0'(1'(2'(2'(2'(2'(2'(2'(2'(0'(0'(0'(0'(1'(2'(1'(2'(2'(2'(1'(0'(2'(0'(2'(0'(x1407))))))))))))))))))))))))))))))))))))))))))))))))))))) [2] 1'(c_2(c_2(c_2(c_1(c_1(c_0(c_0(c_2(c_2(c_2(c_0(c_0(c_0(c_2(c_1(c_2(c_2(c_0(c_2(c_0(c_2(c_0(c_0(c_1(c_2(c_0(c_1(c_0(c_0(c_2(c_0(c_1(c_1(c_0(c_1(c_2(c_1(c_1(c_2(c_2(c_1(c_1(c_0(c_2(x1408))))))))))))))))))))))))))))))))))))))))))))) -> 1'(2'(1'(2'(0'(0'(1'(1'(1'(2'(2'(2'(2'(1'(2'(2'(2'(0'(2'(0'(1'(2'(2'(2'(2'(0'(0'(2'(2'(2'(0'(1'(1'(2'(1'(2'(2'(1'(2'(1'(0'(2'(2'(2'(1'(2'(1'(1'(0'(0'(1'(0'(2'(x1408))))))))))))))))))))))))))))))))))))))))))))))))))))) [2] 1'(c_2(c_2(c_2(c_1(c_1(c_0(c_0(c_2(c_2(c_2(c_0(c_0(c_0(c_2(c_1(c_2(c_2(c_0(c_2(c_0(c_2(c_0(c_1(c_1(c_1(c_1(c_2(c_1(c_1(c_2(c_2(c_0(c_1(c_0(c_1(c_1(c_0(c_2(c_0(c_0(c_2(c_0(c_1(c_0(x1409))))))))))))))))))))))))))))))))))))))))))))) -> 1'(2'(1'(2'(0'(0'(1'(1'(1'(2'(2'(2'(2'(1'(2'(2'(2'(0'(2'(0'(1'(2'(2'(2'(2'(0'(2'(2'(2'(2'(2'(1'(0'(1'(2'(2'(0'(1'(1'(1'(2'(2'(1'(1'(0'(0'(0'(0'(2'(2'(1'(2'(2'(x1409))))))))))))))))))))))))))))))))))))))))))))))))))))) [2] 1'(c_2(c_2(c_2(c_1(c_1(c_0(c_0(c_2(c_2(c_2(c_0(c_0(c_0(c_2(c_1(c_2(c_2(c_0(c_2(c_0(c_2(c_0(c_1(c_2(c_1(c_1(c_2(c_2(c_2(c_1(c_1(c_0(c_0(c_1(c_0(c_2(c_0(c_2(c_2(c_1(c_0(c_2(c_1(c_1(x1410))))))))))))))))))))))))))))))))))))))))))))) -> 1'(2'(1'(2'(0'(0'(1'(1'(1'(2'(2'(2'(2'(1'(2'(2'(2'(0'(2'(0'(1'(2'(2'(2'(2'(0'(2'(1'(2'(1'(2'(1'(2'(2'(0'(2'(0'(1'(2'(1'(2'(1'(2'(0'(1'(2'(0'(0'(2'(2'(1'(1'(2'(x1410))))))))))))))))))))))))))))))))))))))))))))))))))))) [2] 1'(c_2(c_2(c_2(c_1(c_1(c_0(c_0(c_2(c_2(c_2(c_0(c_0(c_0(c_2(c_1(c_2(c_2(c_0(c_2(c_0(c_2(c_0(c_0(c_1(c_0(c_2(c_2(c_1(c_2(c_0(c_0(c_1(c_2(c_0(c_2(c_2(c_2(c_1(c_1(c_2(c_0(c_0(c_2(c_1(x1411))))))))))))))))))))))))))))))))))))))))))))) -> 1'(2'(1'(2'(0'(0'(1'(1'(1'(2'(2'(2'(2'(1'(2'(2'(2'(0'(2'(0'(1'(2'(2'(2'(2'(0'(0'(1'(1'(1'(0'(2'(1'(2'(1'(2'(0'(1'(1'(2'(1'(1'(2'(2'(2'(2'(2'(0'(2'(2'(2'(1'(2'(x1411))))))))))))))))))))))))))))))))))))))))))))))))))))) [2] 1'(c_2(c_2(c_2(c_1(c_1(c_0(c_0(c_2(c_2(c_2(c_0(c_0(c_0(c_2(c_1(c_2(c_2(c_0(c_2(c_0(c_2(c_0(c_0(c_0(c_0(c_1(c_0(c_0(c_2(c_2(c_1(c_0(c_2(c_0(c_2(c_1(c_1(c_2(c_1(c_2(c_2(c_0(c_1(c_1(x1412))))))))))))))))))))))))))))))))))))))))))))) -> 1'(2'(1'(2'(0'(0'(1'(1'(1'(2'(2'(2'(2'(1'(2'(2'(2'(0'(2'(0'(1'(2'(2'(2'(2'(0'(0'(1'(2'(0'(0'(2'(1'(2'(2'(1'(1'(2'(1'(1'(1'(1'(2'(2'(2'(1'(2'(1'(0'(2'(1'(1'(0'(x1412))))))))))))))))))))))))))))))))))))))))))))))))))))) [2] 1'(c_2(c_2(c_2(c_1(c_1(c_0(c_0(c_2(c_2(c_2(c_0(c_0(c_0(c_2(c_1(c_2(c_2(c_0(c_2(c_0(c_2(c_0(c_0(c_0(c_2(c_2(c_0(c_2(c_2(c_2(c_1(c_1(c_0(c_2(c_2(c_1(c_2(c_1(c_0(c_2(c_0(c_0(c_0(c_1(x1413))))))))))))))))))))))))))))))))))))))))))))) -> 1'(2'(1'(2'(0'(0'(1'(1'(1'(2'(2'(2'(2'(1'(2'(2'(2'(0'(2'(0'(1'(2'(2'(2'(2'(0'(2'(0'(1'(1'(1'(2'(2'(1'(1'(2'(2'(2'(2'(1'(0'(1'(2'(1'(1'(2'(2'(2'(1'(2'(1'(2'(2'(x1413))))))))))))))))))))))))))))))))))))))))))))))))))))) [2] 1'(c_2(c_2(c_2(c_1(c_1(c_0(c_0(c_2(c_2(c_2(c_0(c_0(c_0(c_2(c_1(c_2(c_2(c_0(c_2(c_0(c_2(c_0(x1))))))))))))))))))))))) -> 1'(2'(1'(2'(0'(0'(1'(1'(1'(2'(2'(2'(2'(1'(2'(2'(2'(0'(2'(0'(1'(2'(2'(2'(2'(0'(c_0(x1))))))))))))))))))))))))))) [1] 1'(c_2(c_2(c_2(c_1(c_1(c_0(c_0(c_2(c_2(c_2(c_0(c_0(c_0(c_2(c_1(c_2(c_2(c_0(c_2(c_0(c_2(c_0(x1))))))))))))))))))))))) -> 1'(2'(1'(2'(0'(0'(1'(1'(1'(2'(2'(2'(2'(1'(2'(2'(2'(0'(2'(0'(1'(2'(2'(2'(2'(0'(const)))))))))))))))))))))))))) [1] 2'(c_2(c_0(c_0(c_1(c_2(c_1(c_1(c_2(c_1(c_0(c_0(c_0(c_0(c_0(c_2(c_1(c_2(c_1(c_1(c_2(c_0(c_2(x1))))))))))))))))))))))) -> 2'(1'(1'(2'(2'(2'(2'(1'(2'(1'(0'(0'(2'(1'(0'(2'(2'(0'(1'(1'(0'(2'(0'(0'(0'(0'(2'(x1))))))))))))))))))))))))))) [1] 0'(c_1(c_1(c_1(c_1(c_2(c_1(c_1(c_2(c_2(c_0(c_1(c_0(c_1(c_1(c_0(c_2(c_0(c_0(c_2(c_0(c_1(c_0(x1))))))))))))))))))))))) -> 2'(2'(2'(2'(2'(1'(0'(1'(2'(2'(0'(1'(1'(1'(2'(2'(1'(1'(0'(0'(0'(0'(2'(2'(1'(2'(2'(x1))))))))))))))))))))))))))) [1] 1'(c_2(c_0(c_2(c_1(c_2(c_2(c_1(c_2(c_2(c_2(c_0(c_1(c_1(c_1(c_1(c_0(c_1(c_0(c_0(c_2(c_0(c_1(c_2(c_0(c_0(c_2(c_0(c_1(c_2(c_2(c_0(c_2(c_1(c_2(c_1(c_2(c_0(c_1(c_0(c_1(c_2(c_0(c_2(c_1(x1452))))))))))))))))))))))))))))))))))))))))))))) -> 1'(2'(1'(2'(1'(2'(2'(2'(2'(2'(2'(0'(0'(2'(0'(0'(2'(2'(0'(1'(1'(1'(1'(0'(0'(2'(1'(2'(2'(0'(2'(1'(2'(2'(0'(1'(0'(2'(1'(0'(1'(2'(1'(2'(2'(2'(2'(0'(2'(2'(0'(2'(0'(x1452))))))))))))))))))))))))))))))))))))))))))))))))))))) [2] 1'(c_2(c_0(c_2(c_1(c_2(c_2(c_1(c_2(c_2(c_2(c_0(c_1(c_1(c_1(c_1(c_0(c_1(c_0(c_0(c_2(c_0(c_1(c_1(c_0(c_2(c_1(c_2(c_2(c_2(c_2(c_1(c_0(c_1(c_2(c_0(c_1(c_2(c_1(c_1(c_0(c_2(c_1(c_2(c_0(x1453))))))))))))))))))))))))))))))))))))))))))))) -> 1'(2'(1'(2'(1'(2'(2'(2'(2'(2'(2'(0'(0'(2'(0'(0'(2'(2'(0'(1'(1'(1'(1'(0'(0'(2'(2'(2'(1'(2'(1'(2'(2'(1'(0'(1'(2'(2'(2'(1'(0'(2'(1'(1'(2'(1'(0'(1'(1'(1'(2'(2'(2'(x1453))))))))))))))))))))))))))))))))))))))))))))))))))))) [2] 1'(c_2(c_0(c_2(c_1(c_2(c_2(c_1(c_2(c_2(c_2(c_0(c_1(c_1(c_1(c_1(c_0(c_1(c_0(c_0(c_2(c_0(c_1(c_1(c_0(c_1(c_2(c_2(c_2(c_2(c_1(c_0(c_2(c_1(c_2(c_0(c_0(c_0(c_1(c_0(c_2(c_1(c_1(c_1(c_2(x1454))))))))))))))))))))))))))))))))))))))))))))) -> 1'(2'(1'(2'(1'(2'(2'(2'(2'(2'(2'(0'(0'(2'(0'(0'(2'(2'(0'(1'(1'(1'(1'(0'(0'(2'(2'(1'(2'(1'(2'(2'(2'(2'(2'(0'(0'(0'(0'(2'(1'(2'(2'(2'(2'(1'(2'(2'(2'(0'(0'(2'(2'(x1454))))))))))))))))))))))))))))))))))))))))))))))))))))) [2] 1'(c_2(c_0(c_2(c_1(c_2(c_2(c_1(c_2(c_2(c_2(c_0(c_1(c_1(c_1(c_1(c_0(c_1(c_0(c_0(c_2(c_0(c_1(c_1(c_2(c_2(c_1(c_0(c_2(c_0(c_1(c_1(c_2(c_2(c_2(c_1(c_0(c_1(c_0(c_0(c_2(c_1(c_1(c_0(c_2(x1455))))))))))))))))))))))))))))))))))))))))))))) -> 1'(2'(1'(2'(1'(2'(2'(2'(2'(2'(2'(0'(0'(2'(0'(0'(2'(2'(0'(1'(1'(1'(1'(0'(0'(2'(2'(2'(2'(1'(1'(2'(2'(2'(1'(2'(2'(0'(0'(2'(0'(0'(1'(2'(0'(2'(2'(1'(2'(2'(2'(0'(2'(x1455))))))))))))))))))))))))))))))))))))))))))))))))))))) [2] 1'(c_2(c_0(c_2(c_1(c_2(c_2(c_1(c_2(c_2(c_2(c_0(c_1(c_1(c_1(c_1(c_0(c_1(c_0(c_0(c_2(c_0(c_1(c_0(c_1(c_0(c_2(c_2(c_2(c_2(c_1(c_0(c_0(c_2(c_0(c_2(c_1(c_2(c_1(c_2(c_1(c_1(c_2(c_0(c_2(x1456))))))))))))))))))))))))))))))))))))))))))))) -> 1'(2'(1'(2'(1'(2'(2'(2'(2'(2'(2'(0'(0'(2'(0'(0'(2'(2'(0'(1'(1'(1'(1'(0'(0'(2'(2'(1'(2'(0'(2'(0'(2'(0'(2'(2'(2'(2'(1'(2'(1'(2'(2'(2'(1'(1'(2'(1'(0'(1'(1'(2'(2'(x1456))))))))))))))))))))))))))))))))))))))))))))))))))))) [2] 1'(c_2(c_0(c_2(c_1(c_2(c_2(c_1(c_2(c_2(c_2(c_0(c_1(c_1(c_1(c_1(c_0(c_1(c_0(c_0(c_2(c_0(c_1(c_1(c_1(c_0(c_2(c_2(c_1(c_1(c_1(c_2(c_2(c_0(c_2(c_0(c_2(c_1(c_1(c_2(c_1(c_2(c_1(c_2(c_2(x1457))))))))))))))))))))))))))))))))))))))))))))) -> 1'(2'(1'(2'(1'(2'(2'(2'(2'(2'(2'(0'(0'(2'(0'(0'(2'(2'(0'(1'(1'(1'(1'(0'(0'(2'(1'(2'(1'(2'(1'(1'(1'(1'(2'(1'(1'(1'(2'(2'(0'(1'(0'(2'(2'(1'(2'(2'(2'(1'(0'(1'(2'(x1457))))))))))))))))))))))))))))))))))))))))))))))))))))) [2] 1'(c_2(c_0(c_2(c_1(c_2(c_2(c_1(c_2(c_2(c_2(c_0(c_1(c_1(c_1(c_1(c_0(c_1(c_0(c_0(c_2(c_0(c_1(c_0(c_0(c_1(c_0(c_1(c_1(c_0(c_2(c_1(c_1(c_2(c_1(c_2(c_1(c_2(c_0(c_1(c_2(c_2(c_1(c_2(c_1(x1458))))))))))))))))))))))))))))))))))))))))))))) -> 1'(2'(1'(2'(1'(2'(2'(2'(2'(2'(2'(0'(0'(2'(0'(0'(2'(2'(0'(1'(1'(1'(1'(0'(0'(2'(1'(2'(0'(0'(1'(1'(2'(2'(1'(2'(0'(2'(2'(0'(1'(1'(2'(2'(2'(1'(2'(2'(2'(2'(2'(1'(2'(x1458))))))))))))))))))))))))))))))))))))))))))))))))))))) [2] 1'(c_2(c_0(c_2(c_1(c_2(c_2(c_1(c_2(c_2(c_2(c_0(c_1(c_1(c_1(c_1(c_0(c_1(c_0(c_0(c_2(c_0(c_1(c_2(c_2(c_2(c_1(c_1(c_0(c_0(c_2(c_2(c_2(c_0(c_0(c_0(c_2(c_1(c_2(c_2(c_0(c_2(c_0(c_2(c_0(x1459))))))))))))))))))))))))))))))))))))))))))))) -> 1'(2'(1'(2'(1'(2'(2'(2'(2'(2'(2'(0'(0'(2'(0'(0'(2'(2'(0'(1'(1'(1'(1'(0'(0'(2'(1'(2'(1'(2'(0'(0'(1'(1'(1'(2'(2'(2'(2'(1'(2'(2'(2'(0'(2'(0'(1'(2'(2'(2'(2'(0'(0'(x1459))))))))))))))))))))))))))))))))))))))))))))))))))))) [2] 1'(c_2(c_0(c_2(c_1(c_2(c_2(c_1(c_2(c_2(c_2(c_0(c_1(c_1(c_1(c_1(c_0(c_1(c_0(c_0(c_2(c_0(c_1(c_2(c_0(c_2(c_1(c_2(c_2(c_1(c_2(c_2(c_2(c_0(c_1(c_1(c_1(c_1(c_0(c_1(c_0(c_0(c_2(c_0(c_1(x1460))))))))))))))))))))))))))))))))))))))))))))) -> 1'(2'(1'(2'(1'(2'(2'(2'(2'(2'(2'(0'(0'(2'(0'(0'(2'(2'(0'(1'(1'(1'(1'(0'(0'(2'(1'(2'(1'(2'(1'(2'(2'(2'(2'(2'(2'(0'(0'(2'(0'(0'(2'(2'(0'(1'(1'(1'(1'(0'(0'(2'(1'(x1460))))))))))))))))))))))))))))))))))))))))))))))))))))) [2] 1'(c_2(c_0(c_2(c_1(c_2(c_2(c_1(c_2(c_2(c_2(c_0(c_1(c_1(c_1(c_1(c_0(c_1(c_0(c_0(c_2(c_0(c_1(c_1(c_0(c_2(c_1(c_0(c_2(c_0(c_1(c_2(c_0(c_2(c_0(c_0(c_2(c_1(c_0(c_1(c_0(c_1(c_2(c_1(c_2(x1461))))))))))))))))))))))))))))))))))))))))))))) -> 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2'(2'(2'(2'(0'(2'(0'(2'(2'(1'(2'(1'(0'(1'(1'(2'(2'(0'(0'(2'(1'(2'(1'(2'(1'(2'(0'(0'(0'(1'(2'(2'(2'(2'(2'(2'(2'(0'(0'(0'(0'(1'(2'(1'(2'(2'(2'(1'(0'(2'(0'(2'(0'(x1542))))))))))))))))))))))))))))))))))))))))))))))))))))) [2] 2'(c_2(c_0(c_0(c_1(c_0(c_1(c_2(c_2(c_2(c_1(c_1(c_0(c_0(c_1(c_2(c_2(c_1(c_2(c_0(c_1(c_2(c_1(c_0(c_1(c_2(c_0(c_1(c_0(c_0(c_2(c_0(c_1(c_1(c_0(c_1(c_2(c_1(c_1(c_2(c_2(c_1(c_1(c_0(c_2(x1543))))))))))))))))))))))))))))))))))))))))))))) -> 2'(2'(2'(2'(0'(2'(0'(2'(2'(1'(2'(1'(0'(1'(1'(2'(2'(0'(0'(2'(1'(2'(1'(2'(1'(2'(0'(2'(2'(2'(0'(1'(1'(2'(1'(2'(2'(1'(2'(1'(0'(2'(2'(2'(1'(2'(1'(1'(0'(0'(1'(0'(2'(x1543))))))))))))))))))))))))))))))))))))))))))))))))))))) [2] 2'(c_2(c_0(c_0(c_1(c_0(c_1(c_2(c_2(c_2(c_1(c_1(c_0(c_0(c_1(c_2(c_2(c_1(c_2(c_0(c_1(c_2(c_1(c_1(c_1(c_1(c_1(c_2(c_1(c_1(c_2(c_2(c_0(c_1(c_0(c_1(c_1(c_0(c_2(c_0(c_0(c_2(c_0(c_1(c_0(x1544))))))))))))))))))))))))))))))))))))))))))))) -> 2'(2'(2'(2'(0'(2'(0'(2'(2'(1'(2'(1'(0'(1'(1'(2'(2'(0'(0'(2'(1'(2'(1'(2'(1'(2'(2'(2'(2'(2'(2'(1'(0'(1'(2'(2'(0'(1'(1'(1'(2'(2'(1'(1'(0'(0'(0'(0'(2'(2'(1'(2'(2'(x1544))))))))))))))))))))))))))))))))))))))))))))))))))))) [2] 2'(c_2(c_0(c_0(c_1(c_0(c_1(c_2(c_2(c_2(c_1(c_1(c_0(c_0(c_1(c_2(c_2(c_1(c_2(c_0(c_1(c_2(c_1(c_1(c_2(c_1(c_1(c_2(c_2(c_2(c_1(c_1(c_0(c_0(c_1(c_0(c_2(c_0(c_2(c_2(c_1(c_0(c_2(c_1(c_1(x1545))))))))))))))))))))))))))))))))))))))))))))) -> 2'(2'(2'(2'(0'(2'(0'(2'(2'(1'(2'(1'(0'(1'(1'(2'(2'(0'(0'(2'(1'(2'(1'(2'(1'(2'(2'(1'(2'(1'(2'(1'(2'(2'(0'(2'(0'(1'(2'(1'(2'(1'(2'(0'(1'(2'(0'(0'(2'(2'(1'(1'(2'(x1545))))))))))))))))))))))))))))))))))))))))))))))))))))) [2] 2'(c_2(c_0(c_0(c_1(c_0(c_1(c_2(c_2(c_2(c_1(c_1(c_0(c_0(c_1(c_2(c_2(c_1(c_2(c_0(c_1(c_2(c_1(c_0(c_1(c_0(c_2(c_2(c_1(c_2(c_0(c_0(c_1(c_2(c_0(c_2(c_2(c_2(c_1(c_1(c_2(c_0(c_0(c_2(c_1(x1546))))))))))))))))))))))))))))))))))))))))))))) -> 2'(2'(2'(2'(0'(2'(0'(2'(2'(1'(2'(1'(0'(1'(1'(2'(2'(0'(0'(2'(1'(2'(1'(2'(1'(2'(0'(1'(1'(1'(0'(2'(1'(2'(1'(2'(0'(1'(1'(2'(1'(1'(2'(2'(2'(2'(2'(0'(2'(2'(2'(1'(2'(x1546))))))))))))))))))))))))))))))))))))))))))))))))))))) [2] 2'(c_2(c_0(c_0(c_1(c_0(c_1(c_2(c_2(c_2(c_1(c_1(c_0(c_0(c_1(c_2(c_2(c_1(c_2(c_0(c_1(c_2(c_1(c_0(c_0(c_0(c_1(c_0(c_0(c_2(c_2(c_1(c_0(c_2(c_0(c_2(c_1(c_1(c_2(c_1(c_2(c_2(c_0(c_1(c_1(x1547))))))))))))))))))))))))))))))))))))))))))))) -> 2'(2'(2'(2'(0'(2'(0'(2'(2'(1'(2'(1'(0'(1'(1'(2'(2'(0'(0'(2'(1'(2'(1'(2'(1'(2'(0'(1'(2'(0'(0'(2'(1'(2'(2'(1'(1'(2'(1'(1'(1'(1'(2'(2'(2'(1'(2'(1'(0'(2'(1'(1'(0'(x1547))))))))))))))))))))))))))))))))))))))))))))))))))))) [2] 2'(c_2(c_0(c_0(c_1(c_0(c_1(c_2(c_2(c_2(c_1(c_1(c_0(c_0(c_1(c_2(c_2(c_1(c_2(c_0(c_1(c_2(c_1(c_0(c_0(c_2(c_2(c_0(c_2(c_2(c_2(c_1(c_1(c_0(c_2(c_2(c_1(c_2(c_1(c_0(c_2(c_0(c_0(c_0(c_1(x1548))))))))))))))))))))))))))))))))))))))))))))) -> 2'(2'(2'(2'(0'(2'(0'(2'(2'(1'(2'(1'(0'(1'(1'(2'(2'(0'(0'(2'(1'(2'(1'(2'(1'(2'(2'(0'(1'(1'(1'(2'(2'(1'(1'(2'(2'(2'(2'(1'(0'(1'(2'(1'(1'(2'(2'(2'(1'(2'(1'(2'(2'(x1548))))))))))))))))))))))))))))))))))))))))))))))))))))) [2] 2'(c_2(c_0(c_0(c_1(c_0(c_1(c_2(c_2(c_2(c_1(c_1(c_0(c_0(c_1(c_2(c_2(c_1(c_2(c_0(c_1(c_2(c_1(x1))))))))))))))))))))))) -> 2'(2'(2'(2'(0'(2'(0'(2'(2'(1'(2'(1'(0'(1'(1'(2'(2'(0'(0'(2'(1'(2'(1'(2'(1'(2'(c_0(x1))))))))))))))))))))))))))) [1] 2'(c_2(c_0(c_0(c_1(c_0(c_1(c_2(c_2(c_2(c_1(c_1(c_0(c_0(c_1(c_2(c_2(c_1(c_2(c_0(c_1(c_2(c_1(x1))))))))))))))))))))))) -> 2'(2'(2'(2'(0'(2'(0'(2'(2'(1'(2'(1'(0'(1'(1'(2'(2'(0'(0'(2'(1'(2'(1'(2'(1'(2'(const)))))))))))))))))))))))))) [1] 0'(c_0(c_0(c_0(c_1(c_0(c_0(c_2(c_2(c_1(c_0(c_2(c_0(c_2(c_1(c_1(c_2(c_1(c_2(c_2(c_0(c_1(c_1(c_0(c_2(c_0(c_2(c_2(c_1(c_2(c_1(c_1(c_2(c_1(c_1(c_2(c_1(c_0(c_0(c_0(c_0(c_1(c_1(c_2(c_1(x1549))))))))))))))))))))))))))))))))))))))))))))) -> 0'(1'(2'(0'(0'(2'(1'(2'(2'(1'(1'(2'(1'(1'(1'(1'(2'(2'(2'(1'(2'(1'(0'(2'(1'(1'(0'(0'(1'(2'(2'(1'(1'(2'(2'(1'(1'(2'(2'(2'(2'(0'(1'(2'(1'(2'(1'(1'(1'(0'(1'(2'(2'(x1549))))))))))))))))))))))))))))))))))))))))))))))))))))) [2] 0'(c_0(c_0(c_0(c_1(c_0(c_0(c_2(c_2(c_1(c_0(c_2(c_0(c_2(c_1(c_1(c_2(c_1(c_2(c_2(c_0(c_1(c_1(c_1(c_1(c_1(c_2(c_2(c_1(c_0(c_0(c_2(c_2(c_2(c_2(c_0(c_2(c_0(c_0(c_0(c_0(c_1(c_0(c_0(c_2(x1550))))))))))))))))))))))))))))))))))))))))))))) -> 0'(1'(2'(0'(0'(2'(1'(2'(2'(1'(1'(2'(1'(1'(1'(1'(2'(2'(2'(1'(2'(1'(0'(2'(1'(1'(0'(2'(1'(1'(1'(1'(2'(2'(1'(1'(0'(1'(1'(2'(1'(2'(1'(0'(0'(1'(2'(2'(1'(0'(0'(2'(2'(x1550))))))))))))))))))))))))))))))))))))))))))))))))))))) [2] 0'(c_0(c_0(c_0(c_1(c_0(c_0(c_2(c_2(c_1(c_0(c_2(c_0(c_2(c_1(c_1(c_2(c_1(c_2(c_2(c_0(c_1(c_1(c_1(c_1(c_0(c_1(c_1(c_1(c_2(c_2(c_0(c_2(c_0(c_1(c_2(c_2(c_2(c_0(c_1(c_2(c_0(c_1(c_0(c_2(x1551))))))))))))))))))))))))))))))))))))))))))))) -> 0'(1'(2'(0'(0'(2'(1'(2'(2'(1'(1'(2'(1'(1'(1'(1'(2'(2'(2'(1'(2'(1'(0'(2'(1'(1'(0'(2'(0'(1'(0'(2'(0'(2'(2'(2'(1'(2'(1'(1'(2'(2'(2'(2'(2'(2'(2'(1'(0'(0'(0'(2'(2'(x1551))))))))))))))))))))))))))))))))))))))))))))))))))))) [2] 0'(c_0(c_0(c_0(c_1(c_0(c_0(c_2(c_2(c_1(c_0(c_2(c_0(c_2(c_1(c_1(c_2(c_1(c_2(c_2(c_0(c_1(c_1(c_1(c_0(c_0(c_1(c_2(c_2(c_1(c_0(c_1(c_2(c_1(c_2(c_0(c_1(c_0(c_2(c_2(c_0(c_1(c_2(c_1(c_0(x1552))))))))))))))))))))))))))))))))))))))))))))) -> 0'(1'(2'(0'(0'(2'(1'(2'(2'(1'(1'(2'(1'(1'(1'(1'(2'(2'(2'(1'(2'(1'(0'(2'(1'(1'(0'(0'(0'(1'(2'(2'(2'(2'(2'(2'(2'(0'(0'(0'(0'(1'(2'(1'(2'(2'(2'(1'(0'(2'(0'(2'(0'(x1552))))))))))))))))))))))))))))))))))))))))))))))))))))) [2] 0'(c_0(c_0(c_0(c_1(c_0(c_0(c_2(c_2(c_1(c_0(c_2(c_0(c_2(c_1(c_1(c_2(c_1(c_2(c_2(c_0(c_1(c_1(c_0(c_1(c_2(c_0(c_1(c_0(c_0(c_2(c_0(c_1(c_1(c_0(c_1(c_2(c_1(c_1(c_2(c_2(c_1(c_1(c_0(c_2(x1553))))))))))))))))))))))))))))))))))))))))))))) -> 0'(1'(2'(0'(0'(2'(1'(2'(2'(1'(1'(2'(1'(1'(1'(1'(2'(2'(2'(1'(2'(1'(0'(2'(1'(1'(0'(2'(2'(2'(0'(1'(1'(2'(1'(2'(2'(1'(2'(1'(0'(2'(2'(2'(1'(2'(1'(1'(0'(0'(1'(0'(2'(x1553))))))))))))))))))))))))))))))))))))))))))))))))))))) [2] 0'(c_0(c_0(c_0(c_1(c_0(c_0(c_2(c_2(c_1(c_0(c_2(c_0(c_2(c_1(c_1(c_2(c_1(c_2(c_2(c_0(c_1(c_1(c_1(c_1(c_1(c_1(c_2(c_1(c_1(c_2(c_2(c_0(c_1(c_0(c_1(c_1(c_0(c_2(c_0(c_0(c_2(c_0(c_1(c_0(x1554))))))))))))))))))))))))))))))))))))))))))))) -> 0'(1'(2'(0'(0'(2'(1'(2'(2'(1'(1'(2'(1'(1'(1'(1'(2'(2'(2'(1'(2'(1'(0'(2'(1'(1'(2'(2'(2'(2'(2'(1'(0'(1'(2'(2'(0'(1'(1'(1'(2'(2'(1'(1'(0'(0'(0'(0'(2'(2'(1'(2'(2'(x1554))))))))))))))))))))))))))))))))))))))))))))))))))))) [2] 0'(c_0(c_0(c_0(c_1(c_0(c_0(c_2(c_2(c_1(c_0(c_2(c_0(c_2(c_1(c_1(c_2(c_1(c_2(c_2(c_0(c_1(c_1(c_1(c_2(c_1(c_1(c_2(c_2(c_2(c_1(c_1(c_0(c_0(c_1(c_0(c_2(c_0(c_2(c_2(c_1(c_0(c_2(c_1(c_1(x1555))))))))))))))))))))))))))))))))))))))))))))) -> 0'(1'(2'(0'(0'(2'(1'(2'(2'(1'(1'(2'(1'(1'(1'(1'(2'(2'(2'(1'(2'(1'(0'(2'(1'(1'(2'(1'(2'(1'(2'(1'(2'(2'(0'(2'(0'(1'(2'(1'(2'(1'(2'(0'(1'(2'(0'(0'(2'(2'(1'(1'(2'(x1555))))))))))))))))))))))))))))))))))))))))))))))))))))) [2] 0'(c_0(c_0(c_0(c_1(c_0(c_0(c_2(c_2(c_1(c_0(c_2(c_0(c_2(c_1(c_1(c_2(c_1(c_2(c_2(c_0(c_1(c_1(c_0(c_1(c_0(c_2(c_2(c_1(c_2(c_0(c_0(c_1(c_2(c_0(c_2(c_2(c_2(c_1(c_1(c_2(c_0(c_0(c_2(c_1(x1556))))))))))))))))))))))))))))))))))))))))))))) -> 0'(1'(2'(0'(0'(2'(1'(2'(2'(1'(1'(2'(1'(1'(1'(1'(2'(2'(2'(1'(2'(1'(0'(2'(1'(1'(0'(1'(1'(1'(0'(2'(1'(2'(1'(2'(0'(1'(1'(2'(1'(1'(2'(2'(2'(2'(2'(0'(2'(2'(2'(1'(2'(x1556))))))))))))))))))))))))))))))))))))))))))))))))))))) [2] 0'(c_0(c_0(c_0(c_1(c_0(c_0(c_2(c_2(c_1(c_0(c_2(c_0(c_2(c_1(c_1(c_2(c_1(c_2(c_2(c_0(c_1(c_1(c_0(c_0(c_0(c_1(c_0(c_0(c_2(c_2(c_1(c_0(c_2(c_0(c_2(c_1(c_1(c_2(c_1(c_2(c_2(c_0(c_1(c_1(x1557))))))))))))))))))))))))))))))))))))))))))))) -> 0'(1'(2'(0'(0'(2'(1'(2'(2'(1'(1'(2'(1'(1'(1'(1'(2'(2'(2'(1'(2'(1'(0'(2'(1'(1'(0'(1'(2'(0'(0'(2'(1'(2'(2'(1'(1'(2'(1'(1'(1'(1'(2'(2'(2'(1'(2'(1'(0'(2'(1'(1'(0'(x1557))))))))))))))))))))))))))))))))))))))))))))))))))))) [2] 0'(c_0(c_0(c_0(c_1(c_0(c_0(c_2(c_2(c_1(c_0(c_2(c_0(c_2(c_1(c_1(c_2(c_1(c_2(c_2(c_0(c_1(c_1(c_0(c_0(c_2(c_2(c_0(c_2(c_2(c_2(c_1(c_1(c_0(c_2(c_2(c_1(c_2(c_1(c_0(c_2(c_0(c_0(c_0(c_1(x1558))))))))))))))))))))))))))))))))))))))))))))) -> 0'(1'(2'(0'(0'(2'(1'(2'(2'(1'(1'(2'(1'(1'(1'(1'(2'(2'(2'(1'(2'(1'(0'(2'(1'(1'(2'(0'(1'(1'(1'(2'(2'(1'(1'(2'(2'(2'(2'(1'(0'(1'(2'(1'(1'(2'(2'(2'(1'(2'(1'(2'(2'(x1558))))))))))))))))))))))))))))))))))))))))))))))))))))) [2] 0'(c_0(c_0(c_0(c_1(c_0(c_0(c_2(c_2(c_1(c_0(c_2(c_0(c_2(c_1(c_1(c_2(c_1(c_2(c_2(c_0(c_1(c_1(x1))))))))))))))))))))))) -> 0'(1'(2'(0'(0'(2'(1'(2'(2'(1'(1'(2'(1'(1'(1'(1'(2'(2'(2'(1'(2'(1'(0'(2'(1'(1'(c_0(x1))))))))))))))))))))))))))) [1] 0'(c_0(c_0(c_0(c_1(c_0(c_0(c_2(c_2(c_1(c_0(c_2(c_0(c_2(c_1(c_1(c_2(c_1(c_2(c_2(c_0(c_1(c_1(x1))))))))))))))))))))))) -> 0'(1'(2'(0'(0'(2'(1'(2'(2'(1'(1'(2'(1'(1'(1'(1'(2'(2'(2'(1'(2'(1'(0'(2'(1'(1'(const)))))))))))))))))))))))))) [1] 0'(c_0(c_0(c_2(c_2(c_0(c_2(c_2(c_2(c_1(c_1(c_0(c_2(c_2(c_1(c_2(c_1(c_0(c_2(c_0(c_0(c_0(c_1(x1))))))))))))))))))))))) -> 2'(0'(1'(1'(1'(2'(2'(1'(1'(2'(2'(2'(2'(1'(0'(1'(2'(1'(1'(2'(2'(2'(1'(2'(1'(2'(2'(x1))))))))))))))))))))))))))) [1] 2'(c_2(c_1(c_1(c_2(c_2(c_1(c_2(c_1(c_1(c_1(c_0(c_0(c_2(c_1(c_1(c_0(c_2(c_0(c_0(c_1(c_1(c_2(x1))))))))))))))))))))))) -> 2'(1'(1'(1'(2'(2'(2'(1'(1'(0'(2'(2'(1'(0'(1'(0'(2'(2'(1'(2'(0'(0'(0'(1'(2'(1'(2'(x1))))))))))))))))))))))))))) [1] 1'(c_1(c_0(c_0(c_1(c_1(c_1(c_2(c_2(c_2(c_1(c_2(c_1(c_0(c_0(c_0(c_2(c_2(c_2(c_0(c_1(c_2(c_0(x1))))))))))))))))))))))) -> 2'(1'(2'(1'(2'(2'(2'(1'(2'(2'(0'(2'(2'(1'(0'(2'(1'(2'(2'(0'(1'(0'(1'(1'(2'(2'(2'(x1))))))))))))))))))))))))))) [1] 2'(c_2(c_0(c_1(c_1(c_0(c_0(c_1(c_2(c_1(c_0(c_2(c_1(c_2(c_2(c_2(c_1(c_0(c_0(c_2(c_2(c_2(c_0(c_0(c_2(c_0(c_2(c_2(c_1(c_2(c_1(c_1(c_2(c_1(c_1(c_2(c_1(c_0(c_0(c_0(c_0(c_1(c_1(c_2(c_1(x1616))))))))))))))))))))))))))))))))))))))))))))) -> 2'(2'(1'(0'(0'(0'(0'(2'(2'(1'(1'(2'(2'(1'(0'(2'(1'(2'(1'(2'(2'(1'(2'(2'(2'(0'(0'(0'(1'(2'(2'(1'(1'(2'(2'(1'(1'(2'(2'(2'(2'(0'(1'(2'(1'(2'(1'(1'(1'(0'(1'(2'(2'(x1616))))))))))))))))))))))))))))))))))))))))))))))))))))) [2] 2'(c_2(c_0(c_1(c_1(c_0(c_0(c_1(c_2(c_1(c_0(c_2(c_1(c_2(c_2(c_2(c_1(c_0(c_0(c_2(c_2(c_2(c_0(c_1(c_1(c_1(c_2(c_2(c_1(c_0(c_0(c_2(c_2(c_2(c_2(c_0(c_2(c_0(c_0(c_0(c_0(c_1(c_0(c_0(c_2(x1617))))))))))))))))))))))))))))))))))))))))))))) -> 2'(2'(1'(0'(0'(0'(0'(2'(2'(1'(1'(2'(2'(1'(0'(2'(1'(2'(1'(2'(2'(1'(2'(2'(2'(0'(0'(2'(1'(1'(1'(1'(2'(2'(1'(1'(0'(1'(1'(2'(1'(2'(1'(0'(0'(1'(2'(2'(1'(0'(0'(2'(2'(x1617))))))))))))))))))))))))))))))))))))))))))))))))))))) [2] 2'(c_2(c_0(c_1(c_1(c_0(c_0(c_1(c_2(c_1(c_0(c_2(c_1(c_2(c_2(c_2(c_1(c_0(c_0(c_2(c_2(c_2(c_0(c_1(c_1(c_0(c_1(c_1(c_1(c_2(c_2(c_0(c_2(c_0(c_1(c_2(c_2(c_2(c_0(c_1(c_2(c_0(c_1(c_0(c_2(x1618))))))))))))))))))))))))))))))))))))))))))))) -> 2'(2'(1'(0'(0'(0'(0'(2'(2'(1'(1'(2'(2'(1'(0'(2'(1'(2'(1'(2'(2'(1'(2'(2'(2'(0'(0'(2'(0'(1'(0'(2'(0'(2'(2'(2'(1'(2'(1'(1'(2'(2'(2'(2'(2'(2'(2'(1'(0'(0'(0'(2'(2'(x1618))))))))))))))))))))))))))))))))))))))))))))))))))))) [2] 2'(c_2(c_0(c_1(c_1(c_0(c_0(c_1(c_2(c_1(c_0(c_2(c_1(c_2(c_2(c_2(c_1(c_0(c_0(c_2(c_2(c_2(c_0(c_1(c_0(c_0(c_1(c_2(c_2(c_1(c_0(c_1(c_2(c_1(c_2(c_0(c_1(c_0(c_2(c_2(c_0(c_1(c_2(c_1(c_0(x1619))))))))))))))))))))))))))))))))))))))))))))) -> 2'(2'(1'(0'(0'(0'(0'(2'(2'(1'(1'(2'(2'(1'(0'(2'(1'(2'(1'(2'(2'(1'(2'(2'(2'(0'(0'(0'(0'(1'(2'(2'(2'(2'(2'(2'(2'(0'(0'(0'(0'(1'(2'(1'(2'(2'(2'(1'(0'(2'(0'(2'(0'(x1619))))))))))))))))))))))))))))))))))))))))))))))))))))) [2] 2'(c_2(c_0(c_1(c_1(c_0(c_0(c_1(c_2(c_1(c_0(c_2(c_1(c_2(c_2(c_2(c_1(c_0(c_0(c_2(c_2(c_2(c_0(c_0(c_1(c_2(c_0(c_1(c_0(c_0(c_2(c_0(c_1(c_1(c_0(c_1(c_2(c_1(c_1(c_2(c_2(c_1(c_1(c_0(c_2(x1620))))))))))))))))))))))))))))))))))))))))))))) -> 2'(2'(1'(0'(0'(0'(0'(2'(2'(1'(1'(2'(2'(1'(0'(2'(1'(2'(1'(2'(2'(1'(2'(2'(2'(0'(0'(2'(2'(2'(0'(1'(1'(2'(1'(2'(2'(1'(2'(1'(0'(2'(2'(2'(1'(2'(1'(1'(0'(0'(1'(0'(2'(x1620))))))))))))))))))))))))))))))))))))))))))))))))))))) [2] 2'(c_2(c_0(c_1(c_1(c_0(c_0(c_1(c_2(c_1(c_0(c_2(c_1(c_2(c_2(c_2(c_1(c_0(c_0(c_2(c_2(c_2(c_0(c_1(c_1(c_1(c_1(c_2(c_1(c_1(c_2(c_2(c_0(c_1(c_0(c_1(c_1(c_0(c_2(c_0(c_0(c_2(c_0(c_1(c_0(x1621))))))))))))))))))))))))))))))))))))))))))))) -> 2'(2'(1'(0'(0'(0'(0'(2'(2'(1'(1'(2'(2'(1'(0'(2'(1'(2'(1'(2'(2'(1'(2'(2'(2'(0'(2'(2'(2'(2'(2'(1'(0'(1'(2'(2'(0'(1'(1'(1'(2'(2'(1'(1'(0'(0'(0'(0'(2'(2'(1'(2'(2'(x1621))))))))))))))))))))))))))))))))))))))))))))))))))))) [2] 2'(c_2(c_0(c_1(c_1(c_0(c_0(c_1(c_2(c_1(c_0(c_2(c_1(c_2(c_2(c_2(c_1(c_0(c_0(c_2(c_2(c_2(c_0(c_1(c_2(c_1(c_1(c_2(c_2(c_2(c_1(c_1(c_0(c_0(c_1(c_0(c_2(c_0(c_2(c_2(c_1(c_0(c_2(c_1(c_1(x1622))))))))))))))))))))))))))))))))))))))))))))) -> 2'(2'(1'(0'(0'(0'(0'(2'(2'(1'(1'(2'(2'(1'(0'(2'(1'(2'(1'(2'(2'(1'(2'(2'(2'(0'(2'(1'(2'(1'(2'(1'(2'(2'(0'(2'(0'(1'(2'(1'(2'(1'(2'(0'(1'(2'(0'(0'(2'(2'(1'(1'(2'(x1622))))))))))))))))))))))))))))))))))))))))))))))))))))) [2] 2'(c_2(c_0(c_1(c_1(c_0(c_0(c_1(c_2(c_1(c_0(c_2(c_1(c_2(c_2(c_2(c_1(c_0(c_0(c_2(c_2(c_2(c_0(c_0(c_1(c_0(c_2(c_2(c_1(c_2(c_0(c_0(c_1(c_2(c_0(c_2(c_2(c_2(c_1(c_1(c_2(c_0(c_0(c_2(c_1(x1623))))))))))))))))))))))))))))))))))))))))))))) -> 2'(2'(1'(0'(0'(0'(0'(2'(2'(1'(1'(2'(2'(1'(0'(2'(1'(2'(1'(2'(2'(1'(2'(2'(2'(0'(0'(1'(1'(1'(0'(2'(1'(2'(1'(2'(0'(1'(1'(2'(1'(1'(2'(2'(2'(2'(2'(0'(2'(2'(2'(1'(2'(x1623))))))))))))))))))))))))))))))))))))))))))))))))))))) [2] 2'(c_2(c_0(c_1(c_1(c_0(c_0(c_1(c_2(c_1(c_0(c_2(c_1(c_2(c_2(c_2(c_1(c_0(c_0(c_2(c_2(c_2(c_0(c_0(c_0(c_0(c_1(c_0(c_0(c_2(c_2(c_1(c_0(c_2(c_0(c_2(c_1(c_1(c_2(c_1(c_2(c_2(c_0(c_1(c_1(x1624))))))))))))))))))))))))))))))))))))))))))))) -> 2'(2'(1'(0'(0'(0'(0'(2'(2'(1'(1'(2'(2'(1'(0'(2'(1'(2'(1'(2'(2'(1'(2'(2'(2'(0'(0'(1'(2'(0'(0'(2'(1'(2'(2'(1'(1'(2'(1'(1'(1'(1'(2'(2'(2'(1'(2'(1'(0'(2'(1'(1'(0'(x1624))))))))))))))))))))))))))))))))))))))))))))))))))))) [2] 2'(c_2(c_0(c_1(c_1(c_0(c_0(c_1(c_2(c_1(c_0(c_2(c_1(c_2(c_2(c_2(c_1(c_0(c_0(c_2(c_2(c_2(c_0(c_0(c_0(c_2(c_2(c_0(c_2(c_2(c_2(c_1(c_1(c_0(c_2(c_2(c_1(c_2(c_1(c_0(c_2(c_0(c_0(c_0(c_1(x1625))))))))))))))))))))))))))))))))))))))))))))) -> 2'(2'(1'(0'(0'(0'(0'(2'(2'(1'(1'(2'(2'(1'(0'(2'(1'(2'(1'(2'(2'(1'(2'(2'(2'(0'(2'(0'(1'(1'(1'(2'(2'(1'(1'(2'(2'(2'(2'(1'(0'(1'(2'(1'(1'(2'(2'(2'(1'(2'(1'(2'(2'(x1625))))))))))))))))))))))))))))))))))))))))))))))))))))) [2] 2'(c_2(c_0(c_1(c_1(c_0(c_0(c_1(c_2(c_1(c_0(c_2(c_1(c_2(c_2(c_2(c_1(c_0(c_0(c_2(c_2(c_2(c_0(x1))))))))))))))))))))))) -> 2'(2'(1'(0'(0'(0'(0'(2'(2'(1'(1'(2'(2'(1'(0'(2'(1'(2'(1'(2'(2'(1'(2'(2'(2'(0'(c_0(x1))))))))))))))))))))))))))) [1] 2'(c_2(c_0(c_1(c_1(c_0(c_0(c_1(c_2(c_1(c_0(c_2(c_1(c_2(c_2(c_2(c_1(c_0(c_0(c_2(c_2(c_2(c_0(x1))))))))))))))))))))))) -> 2'(2'(1'(0'(0'(0'(0'(2'(2'(1'(1'(2'(2'(1'(0'(2'(1'(2'(1'(2'(2'(1'(2'(2'(2'(0'(const)))))))))))))))))))))))))) [1] 2'(c_1(c_2(c_1(c_0(c_2(c_1(c_2(c_0(c_0(c_0(c_0(c_2(c_0(c_0(c_0(c_2(c_2(c_0(c_0(c_0(c_0(c_1(x1))))))))))))))))))))))) -> 2'(1'(2'(1'(2'(0'(0'(2'(1'(0'(0'(2'(2'(0'(1'(0'(2'(1'(2'(1'(2'(2'(1'(2'(1'(1'(2'(x1))))))))))))))))))))))))))) [1] encArg(cons_0(cons_0(x_1'))) -> 0'(0'(encArg(x_1'))) [0] encArg(cons_0(cons_1(x_1''))) -> 0'(1'(encArg(x_1''))) [0] encArg(cons_0(cons_2(x_11))) -> 0'(2'(encArg(x_11))) [0] encArg(cons_0(x_1)) -> 0'(const) [0] encArg(cons_1(cons_0(x_12))) -> 1'(0'(encArg(x_12))) [0] encArg(cons_1(cons_1(x_13))) -> 1'(1'(encArg(x_13))) [0] encArg(cons_1(cons_2(x_14))) -> 1'(2'(encArg(x_14))) [0] encArg(cons_1(x_1)) -> 1'(const) [0] encArg(cons_2(cons_0(x_15))) -> 2'(0'(encArg(x_15))) [0] encArg(cons_2(cons_1(x_16))) -> 2'(1'(encArg(x_16))) [0] encArg(cons_2(cons_2(x_17))) -> 2'(2'(encArg(x_17))) [0] encArg(cons_2(x_1)) -> 2'(const) [0] encode_0(cons_0(x_18)) -> 0'(0'(encArg(x_18))) [0] encode_0(cons_1(x_19)) -> 0'(1'(encArg(x_19))) [0] encode_0(cons_2(x_110)) -> 0'(2'(encArg(x_110))) [0] encode_0(x_1) -> 0'(const) [0] encode_1(cons_0(x_111)) -> 1'(0'(encArg(x_111))) [0] encode_1(cons_1(x_112)) -> 1'(1'(encArg(x_112))) [0] encode_1(cons_2(x_113)) -> 1'(2'(encArg(x_113))) [0] encode_1(x_1) -> 1'(const) [0] encode_2(cons_0(x_114)) -> 2'(0'(encArg(x_114))) [0] encode_2(cons_1(x_115)) -> 2'(1'(encArg(x_115))) [0] encode_2(cons_2(x_116)) -> 2'(2'(encArg(x_116))) [0] encode_2(x_1) -> 2'(const) [0] 0'(x0) -> c_0(x0) [0] 1'(x0) -> c_1(x0) [0] 2'(x0) -> c_2(x0) [0] encArg(v0) -> const [0] encode_0(v0) -> const [0] encode_1(v0) -> const [0] encode_2(v0) -> const [0] 0'(v0) -> const [0] 1'(v0) -> const [0] 2'(v0) -> const [0] The TRS has the following type information: 1' :: c_1:c_2:c_0:const -> c_1:c_2:c_0:const c_2 :: c_1:c_2:c_0:const -> c_1:c_2:c_0:const c_0 :: c_1:c_2:c_0:const -> c_1:c_2:c_0:const c_1 :: c_1:c_2:c_0:const -> c_1:c_2:c_0:const 2' :: c_1:c_2:c_0:const -> c_1:c_2:c_0:const 0' :: c_1:c_2:c_0:const -> c_1:c_2:c_0:const encArg :: cons_0:cons_1:cons_2 -> c_1:c_2:c_0:const cons_0 :: cons_0:cons_1:cons_2 -> cons_0:cons_1:cons_2 cons_1 :: cons_0:cons_1:cons_2 -> cons_0:cons_1:cons_2 cons_2 :: cons_0:cons_1:cons_2 -> cons_0:cons_1:cons_2 encode_0 :: cons_0:cons_1:cons_2 -> c_1:c_2:c_0:const encode_1 :: cons_0:cons_1:cons_2 -> c_1:c_2:c_0:const encode_2 :: cons_0:cons_1:cons_2 -> c_1:c_2:c_0:const const :: c_1:c_2:c_0:const const1 :: cons_0:cons_1:cons_2 Rewrite Strategy: INNERMOST ---------------------------------------- (31) CpxTypedWeightedTrsToRntsProof (UPPER BOUND(ID)) Transformed the TRS into an over-approximating RNTS by (improved) Size Abstraction. The constant constructors are abstracted as follows: const => 0 const1 => 0 ---------------------------------------- (32) Obligation: Complexity RNTS consisting of the following rules: 0'(z) -{ 1 }-> 2'(2'(2'(2'(2'(1'(0'(1'(2'(2'(0'(1'(1'(1'(2'(2'(1'(1'(0'(0'(0'(0'(2'(2'(1'(2'(2'(x1))))))))))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1))))))))))))))))))))) 0'(z) -{ 1 }-> 2'(1'(2'(1'(2'(1'(2'(2'(0'(2'(0'(1'(2'(1'(2'(1'(2'(0'(1'(2'(0'(0'(2'(2'(1'(1'(2'(x1))))))))))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1))))))))))))))))))))) 0'(z) -{ 1 }-> 2'(0'(1'(1'(1'(2'(2'(1'(1'(2'(2'(2'(2'(1'(0'(1'(2'(1'(1'(2'(2'(2'(1'(2'(1'(2'(2'(x1))))))))))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1))))))))))))))))))))) 0'(z) -{ 1 }-> 0'(2'(2'(2'(0'(1'(1'(2'(1'(2'(2'(1'(2'(1'(0'(2'(2'(2'(1'(2'(1'(1'(0'(0'(1'(0'(2'(x1))))))))))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1))))))))))))))))))))) 0'(z) -{ 1 }-> 0'(2'(1'(1'(1'(1'(2'(2'(1'(1'(0'(1'(1'(2'(1'(2'(1'(0'(0'(1'(2'(2'(1'(0'(0'(2'(2'(x1))))))))))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1))))))))))))))))))))) 0'(z) -{ 1 }-> 0'(2'(0'(1'(0'(2'(0'(2'(2'(2'(1'(2'(1'(1'(2'(2'(2'(2'(2'(2'(2'(1'(0'(0'(0'(2'(2'(x1))))))))))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1))))))))))))))))))))) 0'(z) -{ 2 }-> 0'(1'(2'(0'(0'(2'(1'(2'(2'(1'(1'(2'(1'(1'(1'(1'(2'(2'(2'(1'(2'(1'(0'(2'(1'(1'(2'(2'(2'(2'(2'(1'(0'(1'(2'(2'(0'(1'(1'(1'(2'(2'(1'(1'(0'(0'(0'(0'(2'(2'(1'(2'(2'(x1554))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1554))))))))))))))))))))))))))))))))))))))))))), x1554 >= 0 0'(z) -{ 2 }-> 0'(1'(2'(0'(0'(2'(1'(2'(2'(1'(1'(2'(1'(1'(1'(1'(2'(2'(2'(1'(2'(1'(0'(2'(1'(1'(2'(1'(2'(1'(2'(1'(2'(2'(0'(2'(0'(1'(2'(1'(2'(1'(2'(0'(1'(2'(0'(0'(2'(2'(1'(1'(2'(x1555))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: x1555 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1555))))))))))))))))))))))))))))))))))))))))))) 0'(z) -{ 2 }-> 0'(1'(2'(0'(0'(2'(1'(2'(2'(1'(1'(2'(1'(1'(1'(1'(2'(2'(2'(1'(2'(1'(0'(2'(1'(1'(2'(0'(1'(1'(1'(2'(2'(1'(1'(2'(2'(2'(2'(1'(0'(1'(2'(1'(1'(2'(2'(2'(1'(2'(1'(2'(2'(x1558))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: x1558 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1558))))))))))))))))))))))))))))))))))))))))))) 0'(z) -{ 2 }-> 0'(1'(2'(0'(0'(2'(1'(2'(2'(1'(1'(2'(1'(1'(1'(1'(2'(2'(2'(1'(2'(1'(0'(2'(1'(1'(0'(2'(2'(2'(0'(1'(1'(2'(1'(2'(2'(1'(2'(1'(0'(2'(2'(2'(1'(2'(1'(1'(0'(0'(1'(0'(2'(x1553))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1553))))))))))))))))))))))))))))))))))))))))))), x1553 >= 0 0'(z) -{ 2 }-> 0'(1'(2'(0'(0'(2'(1'(2'(2'(1'(1'(2'(1'(1'(1'(1'(2'(2'(2'(1'(2'(1'(0'(2'(1'(1'(0'(2'(1'(1'(1'(1'(2'(2'(1'(1'(0'(1'(1'(2'(1'(2'(1'(0'(0'(1'(2'(2'(1'(0'(0'(2'(2'(x1550))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: x1550 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1550))))))))))))))))))))))))))))))))))))))))))) 0'(z) -{ 2 }-> 0'(1'(2'(0'(0'(2'(1'(2'(2'(1'(1'(2'(1'(1'(1'(1'(2'(2'(2'(1'(2'(1'(0'(2'(1'(1'(0'(2'(0'(1'(0'(2'(0'(2'(2'(2'(1'(2'(1'(1'(2'(2'(2'(2'(2'(2'(2'(1'(0'(0'(0'(2'(2'(x1551))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: x1551 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1551))))))))))))))))))))))))))))))))))))))))))) 0'(z) -{ 2 }-> 0'(1'(2'(0'(0'(2'(1'(2'(2'(1'(1'(2'(1'(1'(1'(1'(2'(2'(2'(1'(2'(1'(0'(2'(1'(1'(0'(1'(2'(0'(0'(2'(1'(2'(2'(1'(1'(2'(1'(1'(1'(1'(2'(2'(2'(1'(2'(1'(0'(2'(1'(1'(0'(x1557))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1557))))))))))))))))))))))))))))))))))))))))))), x1557 >= 0 0'(z) -{ 2 }-> 0'(1'(2'(0'(0'(2'(1'(2'(2'(1'(1'(2'(1'(1'(1'(1'(2'(2'(2'(1'(2'(1'(0'(2'(1'(1'(0'(1'(1'(1'(0'(2'(1'(2'(1'(2'(0'(1'(1'(2'(1'(1'(2'(2'(2'(2'(2'(0'(2'(2'(2'(1'(2'(x1556))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: x1556 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1556))))))))))))))))))))))))))))))))))))))))))) 0'(z) -{ 2 }-> 0'(1'(2'(0'(0'(2'(1'(2'(2'(1'(1'(2'(1'(1'(1'(1'(2'(2'(2'(1'(2'(1'(0'(2'(1'(1'(0'(0'(1'(2'(2'(1'(1'(2'(2'(1'(1'(2'(2'(2'(2'(0'(1'(2'(1'(2'(1'(1'(1'(0'(1'(2'(2'(x1549))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: x1549 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1549))))))))))))))))))))))))))))))))))))))))))) 0'(z) -{ 2 }-> 0'(1'(2'(0'(0'(2'(1'(2'(2'(1'(1'(2'(1'(1'(1'(1'(2'(2'(2'(1'(2'(1'(0'(2'(1'(1'(0'(0'(0'(1'(2'(2'(2'(2'(2'(2'(2'(0'(0'(0'(0'(1'(2'(1'(2'(2'(2'(1'(0'(2'(0'(2'(0'(x1552))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: x1552 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1552))))))))))))))))))))))))))))))))))))))))))) 0'(z) -{ 1 }-> 0'(1'(2'(0'(0'(2'(1'(2'(2'(1'(1'(2'(1'(1'(1'(1'(2'(2'(2'(1'(2'(1'(0'(2'(1'(1'(0)))))))))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1))))))))))))))))))))) 0'(z) -{ 1 }-> 0'(1'(2'(0'(0'(2'(1'(2'(2'(1'(1'(2'(1'(1'(1'(1'(2'(2'(2'(1'(2'(1'(0'(2'(1'(1'(1 + x1)))))))))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1))))))))))))))))))))) 0'(z) -{ 1 }-> 0'(1'(1'(1'(0'(2'(1'(2'(1'(2'(0'(1'(1'(2'(1'(1'(2'(2'(2'(2'(2'(0'(2'(2'(2'(1'(2'(x1))))))))))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1))))))))))))))))))))) 0'(z) -{ 1 }-> 0'(0'(1'(2'(2'(1'(1'(2'(2'(1'(1'(2'(2'(2'(2'(0'(1'(2'(1'(2'(1'(1'(1'(0'(1'(2'(2'(x1))))))))))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1))))))))))))))))))))) 0'(z) -{ 2 }-> 0'(0'(0'(1'(2'(2'(2'(2'(2'(2'(2'(0'(0'(0'(0'(1'(2'(1'(2'(2'(2'(1'(0'(2'(0'(2'(2'(2'(2'(2'(2'(1'(0'(1'(2'(2'(0'(1'(1'(1'(2'(2'(1'(1'(0'(0'(0'(0'(2'(2'(1'(2'(2'(x1283))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: x1283 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1283))))))))))))))))))))))))))))))))))))))))))) 0'(z) -{ 2 }-> 0'(0'(0'(1'(2'(2'(2'(2'(2'(2'(2'(0'(0'(0'(0'(1'(2'(1'(2'(2'(2'(1'(0'(2'(0'(2'(2'(1'(2'(1'(2'(1'(2'(2'(0'(2'(0'(1'(2'(1'(2'(1'(2'(0'(1'(2'(0'(0'(2'(2'(1'(1'(2'(x1284))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1284))))))))))))))))))))))))))))))))))))))))))), x1284 >= 0 0'(z) -{ 2 }-> 0'(0'(0'(1'(2'(2'(2'(2'(2'(2'(2'(0'(0'(0'(0'(1'(2'(1'(2'(2'(2'(1'(0'(2'(0'(2'(2'(0'(1'(1'(1'(2'(2'(1'(1'(2'(2'(2'(2'(1'(0'(1'(2'(1'(1'(2'(2'(2'(1'(2'(1'(2'(2'(x1287))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1287))))))))))))))))))))))))))))))))))))))))))), x1287 >= 0 0'(z) -{ 2 }-> 0'(0'(0'(1'(2'(2'(2'(2'(2'(2'(2'(0'(0'(0'(0'(1'(2'(1'(2'(2'(2'(1'(0'(2'(0'(2'(0'(2'(2'(2'(0'(1'(1'(2'(1'(2'(2'(1'(2'(1'(0'(2'(2'(2'(1'(2'(1'(1'(0'(0'(1'(0'(2'(x1282))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: x1282 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1282))))))))))))))))))))))))))))))))))))))))))) 0'(z) -{ 2 }-> 0'(0'(0'(1'(2'(2'(2'(2'(2'(2'(2'(0'(0'(0'(0'(1'(2'(1'(2'(2'(2'(1'(0'(2'(0'(2'(0'(2'(1'(1'(1'(1'(2'(2'(1'(1'(0'(1'(1'(2'(1'(2'(1'(0'(0'(1'(2'(2'(1'(0'(0'(2'(2'(x1279))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: x1279 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1279))))))))))))))))))))))))))))))))))))))))))) 0'(z) -{ 2 }-> 0'(0'(0'(1'(2'(2'(2'(2'(2'(2'(2'(0'(0'(0'(0'(1'(2'(1'(2'(2'(2'(1'(0'(2'(0'(2'(0'(2'(0'(1'(0'(2'(0'(2'(2'(2'(1'(2'(1'(1'(2'(2'(2'(2'(2'(2'(2'(1'(0'(0'(0'(2'(2'(x1280))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1280))))))))))))))))))))))))))))))))))))))))))), x1280 >= 0 0'(z) -{ 2 }-> 0'(0'(0'(1'(2'(2'(2'(2'(2'(2'(2'(0'(0'(0'(0'(1'(2'(1'(2'(2'(2'(1'(0'(2'(0'(2'(0'(1'(2'(0'(0'(2'(1'(2'(2'(1'(1'(2'(1'(1'(1'(1'(2'(2'(2'(1'(2'(1'(0'(2'(1'(1'(0'(x1286))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: x1286 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1286))))))))))))))))))))))))))))))))))))))))))) 0'(z) -{ 2 }-> 0'(0'(0'(1'(2'(2'(2'(2'(2'(2'(2'(0'(0'(0'(0'(1'(2'(1'(2'(2'(2'(1'(0'(2'(0'(2'(0'(1'(1'(1'(0'(2'(1'(2'(1'(2'(0'(1'(1'(2'(1'(1'(2'(2'(2'(2'(2'(0'(2'(2'(2'(1'(2'(x1285))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1285))))))))))))))))))))))))))))))))))))))))))), x1285 >= 0 0'(z) -{ 2 }-> 0'(0'(0'(1'(2'(2'(2'(2'(2'(2'(2'(0'(0'(0'(0'(1'(2'(1'(2'(2'(2'(1'(0'(2'(0'(2'(0'(0'(1'(2'(2'(1'(1'(2'(2'(1'(1'(2'(2'(2'(2'(0'(1'(2'(1'(2'(1'(1'(1'(0'(1'(2'(2'(x1278))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1278))))))))))))))))))))))))))))))))))))))))))), x1278 >= 0 0'(z) -{ 2 }-> 0'(0'(0'(1'(2'(2'(2'(2'(2'(2'(2'(0'(0'(0'(0'(1'(2'(1'(2'(2'(2'(1'(0'(2'(0'(2'(0'(0'(0'(1'(2'(2'(2'(2'(2'(2'(2'(0'(0'(0'(0'(1'(2'(1'(2'(2'(2'(1'(0'(2'(0'(2'(0'(x1281))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1281))))))))))))))))))))))))))))))))))))))))))), x1281 >= 0 0'(z) -{ 1 }-> 0'(0'(0'(1'(2'(2'(2'(2'(2'(2'(2'(0'(0'(0'(0'(1'(2'(1'(2'(2'(2'(1'(0'(2'(0'(2'(0)))))))))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1))))))))))))))))))))) 0'(z) -{ 1 }-> 0'(0'(0'(1'(2'(2'(2'(2'(2'(2'(2'(0'(0'(0'(0'(1'(2'(1'(2'(2'(2'(1'(0'(2'(0'(2'(1 + x1)))))))))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1))))))))))))))))))))) 0'(z) -{ 0 }-> 0 :|: v0 >= 0, z = v0 0'(z) -{ 0 }-> 1 + x0 :|: z = x0, x0 >= 0 1'(z) -{ 1 }-> 2'(2'(2'(1'(1'(2'(2'(2'(1'(2'(2'(0'(0'(2'(0'(0'(1'(2'(0'(2'(2'(1'(2'(2'(2'(0'(2'(x1))))))))))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1))))))))))))))))))))) 1'(z) -{ 1 }-> 2'(2'(1'(2'(1'(2'(2'(1'(0'(1'(2'(2'(2'(1'(0'(2'(1'(1'(2'(1'(0'(1'(1'(1'(2'(2'(2'(x1))))))))))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1))))))))))))))))))))) 1'(z) -{ 1 }-> 2'(1'(2'(1'(2'(2'(2'(2'(2'(0'(0'(0'(0'(2'(1'(2'(2'(2'(2'(1'(2'(2'(2'(0'(0'(2'(2'(x1))))))))))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1))))))))))))))))))))) 1'(z) -{ 1 }-> 2'(1'(2'(1'(2'(2'(2'(1'(2'(2'(0'(2'(2'(1'(0'(2'(1'(2'(2'(0'(1'(0'(1'(1'(2'(2'(2'(x1))))))))))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1))))))))))))))))))))) 1'(z) -{ 1 }-> 2'(1'(2'(0'(2'(0'(2'(0'(2'(2'(2'(2'(1'(2'(1'(2'(2'(2'(1'(1'(2'(1'(0'(1'(1'(2'(2'(x1))))))))))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1))))))))))))))))))))) 1'(z) -{ 1 }-> 2'(0'(2'(2'(1'(1'(1'(2'(2'(0'(1'(2'(0'(2'(1'(1'(2'(1'(0'(0'(2'(0'(1'(2'(2'(2'(2'(x1))))))))))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1))))))))))))))))))))) 1'(z) -{ 2 }-> 1'(2'(2'(0'(2'(1'(2'(2'(0'(1'(0'(2'(1'(0'(1'(2'(1'(2'(2'(2'(2'(0'(2'(2'(0'(2'(2'(2'(2'(2'(2'(1'(0'(1'(2'(2'(0'(1'(1'(1'(2'(2'(1'(1'(0'(0'(0'(0'(2'(2'(1'(2'(2'(x14))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x14))))))))))))))))))))))))))))))))))))))))))), x14 >= 0 1'(z) -{ 2 }-> 1'(2'(2'(0'(2'(1'(2'(2'(0'(1'(0'(2'(1'(0'(1'(2'(1'(2'(2'(2'(2'(0'(2'(2'(0'(2'(2'(1'(2'(1'(2'(1'(2'(2'(0'(2'(0'(1'(2'(1'(2'(1'(2'(0'(1'(2'(0'(0'(2'(2'(1'(1'(2'(x15))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: x15 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x15))))))))))))))))))))))))))))))))))))))))))) 1'(z) -{ 2 }-> 1'(2'(2'(0'(2'(1'(2'(2'(0'(1'(0'(2'(1'(0'(1'(2'(1'(2'(2'(2'(2'(0'(2'(2'(0'(2'(2'(0'(1'(1'(1'(2'(2'(1'(1'(2'(2'(2'(2'(1'(0'(1'(2'(1'(1'(2'(2'(2'(1'(2'(1'(2'(2'(x18))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x18))))))))))))))))))))))))))))))))))))))))))), x18 >= 0 1'(z) -{ 2 }-> 1'(2'(2'(0'(2'(1'(2'(2'(0'(1'(0'(2'(1'(0'(1'(2'(1'(2'(2'(2'(2'(0'(2'(2'(0'(2'(0'(2'(2'(2'(0'(1'(1'(2'(1'(2'(2'(1'(2'(1'(0'(2'(2'(2'(1'(2'(1'(1'(0'(0'(1'(0'(2'(x13))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: x13 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x13))))))))))))))))))))))))))))))))))))))))))) 1'(z) -{ 2 }-> 1'(2'(2'(0'(2'(1'(2'(2'(0'(1'(0'(2'(1'(0'(1'(2'(1'(2'(2'(2'(2'(0'(2'(2'(0'(2'(0'(2'(1'(1'(1'(1'(2'(2'(1'(1'(0'(1'(1'(2'(1'(2'(1'(0'(0'(1'(2'(2'(1'(0'(0'(2'(2'(x1''))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: x1'' >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1''))))))))))))))))))))))))))))))))))))))))))) 1'(z) -{ 2 }-> 1'(2'(2'(0'(2'(1'(2'(2'(0'(1'(0'(2'(1'(0'(1'(2'(1'(2'(2'(2'(2'(0'(2'(2'(0'(2'(0'(2'(0'(1'(0'(2'(0'(2'(2'(2'(1'(2'(1'(1'(2'(2'(2'(2'(2'(2'(2'(1'(0'(0'(0'(2'(2'(x11))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11))))))))))))))))))))))))))))))))))))))))))), x11 >= 0 1'(z) -{ 2 }-> 1'(2'(2'(0'(2'(1'(2'(2'(0'(1'(0'(2'(1'(0'(1'(2'(1'(2'(2'(2'(2'(0'(2'(2'(0'(2'(0'(1'(2'(0'(0'(2'(1'(2'(2'(1'(1'(2'(1'(1'(1'(1'(2'(2'(2'(1'(2'(1'(0'(2'(1'(1'(0'(x17))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: x17 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x17))))))))))))))))))))))))))))))))))))))))))) 1'(z) -{ 2 }-> 1'(2'(2'(0'(2'(1'(2'(2'(0'(1'(0'(2'(1'(0'(1'(2'(1'(2'(2'(2'(2'(0'(2'(2'(0'(2'(0'(1'(1'(1'(0'(2'(1'(2'(1'(2'(0'(1'(1'(2'(1'(1'(2'(2'(2'(2'(2'(0'(2'(2'(2'(1'(2'(x16))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x16))))))))))))))))))))))))))))))))))))))))))), x16 >= 0 1'(z) -{ 2 }-> 1'(2'(2'(0'(2'(1'(2'(2'(0'(1'(0'(2'(1'(0'(1'(2'(1'(2'(2'(2'(2'(0'(2'(2'(0'(2'(0'(0'(1'(2'(2'(1'(1'(2'(2'(1'(1'(2'(2'(2'(2'(0'(1'(2'(1'(2'(1'(1'(1'(0'(1'(2'(2'(x1'))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: x1' >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1'))))))))))))))))))))))))))))))))))))))))))) 1'(z) -{ 2 }-> 1'(2'(2'(0'(2'(1'(2'(2'(0'(1'(0'(2'(1'(0'(1'(2'(1'(2'(2'(2'(2'(0'(2'(2'(0'(2'(0'(0'(0'(1'(2'(2'(2'(2'(2'(2'(2'(0'(0'(0'(0'(1'(2'(1'(2'(2'(2'(1'(0'(2'(0'(2'(0'(x12))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x12))))))))))))))))))))))))))))))))))))))))))), x12 >= 0 1'(z) -{ 1 }-> 1'(2'(2'(0'(2'(1'(2'(2'(0'(1'(0'(2'(1'(0'(1'(2'(1'(2'(2'(2'(2'(0'(2'(2'(0'(2'(0)))))))))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1))))))))))))))))))))) 1'(z) -{ 1 }-> 1'(2'(2'(0'(2'(1'(2'(2'(0'(1'(0'(2'(1'(0'(1'(2'(1'(2'(2'(2'(2'(0'(2'(2'(0'(2'(1 + x1)))))))))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1))))))))))))))))))))) 1'(z) -{ 2 }-> 1'(2'(1'(2'(1'(2'(2'(2'(2'(2'(2'(0'(0'(2'(0'(0'(2'(2'(0'(1'(1'(1'(1'(0'(0'(2'(2'(2'(2'(1'(1'(2'(2'(2'(1'(2'(2'(0'(0'(2'(0'(0'(1'(2'(0'(2'(2'(1'(2'(2'(2'(0'(2'(x1455))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1455))))))))))))))))))))))))))))))))))))))))))), x1455 >= 0 1'(z) -{ 2 }-> 1'(2'(1'(2'(1'(2'(2'(2'(2'(2'(2'(0'(0'(2'(0'(0'(2'(2'(0'(1'(1'(1'(1'(0'(0'(2'(2'(2'(1'(2'(1'(2'(2'(1'(0'(1'(2'(2'(2'(1'(0'(2'(1'(1'(2'(1'(0'(1'(1'(1'(2'(2'(2'(x1453))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1453))))))))))))))))))))))))))))))))))))))))))), x1453 >= 0 1'(z) -{ 2 }-> 1'(2'(1'(2'(1'(2'(2'(2'(2'(2'(2'(0'(0'(2'(0'(0'(2'(2'(0'(1'(1'(1'(1'(0'(0'(2'(2'(1'(2'(1'(2'(2'(2'(2'(2'(0'(0'(0'(0'(2'(1'(2'(2'(2'(2'(1'(2'(2'(2'(0'(0'(2'(2'(x1454))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1454))))))))))))))))))))))))))))))))))))))))))), x1454 >= 0 1'(z) -{ 2 }-> 1'(2'(1'(2'(1'(2'(2'(2'(2'(2'(2'(0'(0'(2'(0'(0'(2'(2'(0'(1'(1'(1'(1'(0'(0'(2'(2'(1'(2'(1'(2'(2'(2'(1'(2'(2'(0'(2'(2'(1'(0'(2'(1'(2'(2'(0'(1'(0'(1'(1'(2'(2'(2'(x1462))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1462))))))))))))))))))))))))))))))))))))))))))), x1462 >= 0 1'(z) -{ 2 }-> 1'(2'(1'(2'(1'(2'(2'(2'(2'(2'(2'(0'(0'(2'(0'(0'(2'(2'(0'(1'(1'(1'(1'(0'(0'(2'(2'(1'(2'(0'(2'(0'(2'(0'(2'(2'(2'(2'(1'(2'(1'(2'(2'(2'(1'(1'(2'(1'(0'(1'(1'(2'(2'(x1456))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: x1456 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1456))))))))))))))))))))))))))))))))))))))))))) 1'(z) -{ 2 }-> 1'(2'(1'(2'(1'(2'(2'(2'(2'(2'(2'(0'(0'(2'(0'(0'(2'(2'(0'(1'(1'(1'(1'(0'(0'(2'(2'(0'(2'(2'(1'(1'(1'(2'(2'(0'(1'(2'(0'(2'(1'(1'(2'(1'(0'(0'(2'(0'(1'(2'(2'(2'(2'(x1461))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1461))))))))))))))))))))))))))))))))))))))))))), x1461 >= 0 1'(z) -{ 2 }-> 1'(2'(1'(2'(1'(2'(2'(2'(2'(2'(2'(0'(0'(2'(0'(0'(2'(2'(0'(1'(1'(1'(1'(0'(0'(2'(1'(2'(2'(0'(2'(1'(2'(2'(0'(1'(0'(2'(1'(0'(1'(2'(1'(2'(2'(2'(2'(0'(2'(2'(0'(2'(0'(x1452))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1452))))))))))))))))))))))))))))))))))))))))))), x1452 >= 0 1'(z) -{ 2 }-> 1'(2'(1'(2'(1'(2'(2'(2'(2'(2'(2'(0'(0'(2'(0'(0'(2'(2'(0'(1'(1'(1'(1'(0'(0'(2'(1'(2'(1'(2'(1'(2'(2'(2'(2'(2'(2'(0'(0'(2'(0'(0'(2'(2'(0'(1'(1'(1'(1'(0'(0'(2'(1'(x1460))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: x1460 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1460))))))))))))))))))))))))))))))))))))))))))) 1'(z) -{ 2 }-> 1'(2'(1'(2'(1'(2'(2'(2'(2'(2'(2'(0'(0'(2'(0'(0'(2'(2'(0'(1'(1'(1'(1'(0'(0'(2'(1'(2'(1'(2'(1'(1'(1'(1'(2'(1'(1'(1'(2'(2'(0'(1'(0'(2'(2'(1'(2'(2'(2'(1'(0'(1'(2'(x1457))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: x1457 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1457))))))))))))))))))))))))))))))))))))))))))) 1'(z) -{ 2 }-> 1'(2'(1'(2'(1'(2'(2'(2'(2'(2'(2'(0'(0'(2'(0'(0'(2'(2'(0'(1'(1'(1'(1'(0'(0'(2'(1'(2'(1'(2'(0'(0'(1'(1'(1'(2'(2'(2'(2'(1'(2'(2'(2'(0'(2'(0'(1'(2'(2'(2'(2'(0'(0'(x1459))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: x1459 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1459))))))))))))))))))))))))))))))))))))))))))) 1'(z) -{ 2 }-> 1'(2'(1'(2'(1'(2'(2'(2'(2'(2'(2'(0'(0'(2'(0'(0'(2'(2'(0'(1'(1'(1'(1'(0'(0'(2'(1'(2'(0'(0'(1'(1'(2'(2'(1'(2'(0'(2'(2'(0'(1'(1'(2'(2'(2'(1'(2'(2'(2'(2'(2'(1'(2'(x1458))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: x1458 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1458))))))))))))))))))))))))))))))))))))))))))) 1'(z) -{ 1 }-> 1'(2'(1'(2'(1'(2'(2'(2'(2'(2'(2'(0'(0'(2'(0'(0'(2'(2'(0'(1'(1'(1'(1'(0'(0'(2'(0)))))))))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1))))))))))))))))))))) 1'(z) -{ 1 }-> 1'(2'(1'(2'(1'(2'(2'(2'(2'(2'(2'(0'(0'(2'(0'(0'(2'(2'(0'(1'(1'(1'(1'(0'(0'(2'(1 + x1)))))))))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1))))))))))))))))))))) 1'(z) -{ 1 }-> 1'(2'(1'(2'(1'(1'(1'(1'(2'(1'(1'(1'(2'(2'(0'(1'(0'(2'(2'(1'(2'(2'(2'(1'(0'(1'(2'(x1))))))))))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1))))))))))))))))))))) 1'(z) -{ 2 }-> 1'(2'(1'(2'(0'(0'(1'(1'(1'(2'(2'(2'(2'(1'(2'(2'(2'(0'(2'(0'(1'(2'(2'(2'(2'(0'(2'(2'(2'(2'(2'(1'(0'(1'(2'(2'(0'(1'(1'(1'(2'(2'(1'(1'(0'(0'(0'(0'(2'(2'(1'(2'(2'(x1409))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: x1409 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1409))))))))))))))))))))))))))))))))))))))))))) 1'(z) -{ 2 }-> 1'(2'(1'(2'(0'(0'(1'(1'(1'(2'(2'(2'(2'(1'(2'(2'(2'(0'(2'(0'(1'(2'(2'(2'(2'(0'(2'(1'(2'(1'(2'(1'(2'(2'(0'(2'(0'(1'(2'(1'(2'(1'(2'(0'(1'(2'(0'(0'(2'(2'(1'(1'(2'(x1410))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: x1410 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1410))))))))))))))))))))))))))))))))))))))))))) 1'(z) -{ 2 }-> 1'(2'(1'(2'(0'(0'(1'(1'(1'(2'(2'(2'(2'(1'(2'(2'(2'(0'(2'(0'(1'(2'(2'(2'(2'(0'(2'(0'(1'(1'(1'(2'(2'(1'(1'(2'(2'(2'(2'(1'(0'(1'(2'(1'(1'(2'(2'(2'(1'(2'(1'(2'(2'(x1413))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1413))))))))))))))))))))))))))))))))))))))))))), x1413 >= 0 1'(z) -{ 2 }-> 1'(2'(1'(2'(0'(0'(1'(1'(1'(2'(2'(2'(2'(1'(2'(2'(2'(0'(2'(0'(1'(2'(2'(2'(2'(0'(0'(2'(2'(2'(0'(1'(1'(2'(1'(2'(2'(1'(2'(1'(0'(2'(2'(2'(1'(2'(1'(1'(0'(0'(1'(0'(2'(x1408))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1408))))))))))))))))))))))))))))))))))))))))))), x1408 >= 0 1'(z) -{ 2 }-> 1'(2'(1'(2'(0'(0'(1'(1'(1'(2'(2'(2'(2'(1'(2'(2'(2'(0'(2'(0'(1'(2'(2'(2'(2'(0'(0'(2'(1'(1'(1'(1'(2'(2'(1'(1'(0'(1'(1'(2'(1'(2'(1'(0'(0'(1'(2'(2'(1'(0'(0'(2'(2'(x1405))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: x1405 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1405))))))))))))))))))))))))))))))))))))))))))) 1'(z) -{ 2 }-> 1'(2'(1'(2'(0'(0'(1'(1'(1'(2'(2'(2'(2'(1'(2'(2'(2'(0'(2'(0'(1'(2'(2'(2'(2'(0'(0'(2'(0'(1'(0'(2'(0'(2'(2'(2'(1'(2'(1'(1'(2'(2'(2'(2'(2'(2'(2'(1'(0'(0'(0'(2'(2'(x1406))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1406))))))))))))))))))))))))))))))))))))))))))), x1406 >= 0 1'(z) -{ 2 }-> 1'(2'(1'(2'(0'(0'(1'(1'(1'(2'(2'(2'(2'(1'(2'(2'(2'(0'(2'(0'(1'(2'(2'(2'(2'(0'(0'(1'(2'(0'(0'(2'(1'(2'(2'(1'(1'(2'(1'(1'(1'(1'(2'(2'(2'(1'(2'(1'(0'(2'(1'(1'(0'(x1412))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1412))))))))))))))))))))))))))))))))))))))))))), x1412 >= 0 1'(z) -{ 2 }-> 1'(2'(1'(2'(0'(0'(1'(1'(1'(2'(2'(2'(2'(1'(2'(2'(2'(0'(2'(0'(1'(2'(2'(2'(2'(0'(0'(1'(1'(1'(0'(2'(1'(2'(1'(2'(0'(1'(1'(2'(1'(1'(2'(2'(2'(2'(2'(0'(2'(2'(2'(1'(2'(x1411))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: x1411 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1411))))))))))))))))))))))))))))))))))))))))))) 1'(z) -{ 2 }-> 1'(2'(1'(2'(0'(0'(1'(1'(1'(2'(2'(2'(2'(1'(2'(2'(2'(0'(2'(0'(1'(2'(2'(2'(2'(0'(0'(0'(1'(2'(2'(1'(1'(2'(2'(1'(1'(2'(2'(2'(2'(0'(1'(2'(1'(2'(1'(1'(1'(0'(1'(2'(2'(x1404))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: x1404 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1404))))))))))))))))))))))))))))))))))))))))))) 1'(z) -{ 2 }-> 1'(2'(1'(2'(0'(0'(1'(1'(1'(2'(2'(2'(2'(1'(2'(2'(2'(0'(2'(0'(1'(2'(2'(2'(2'(0'(0'(0'(0'(1'(2'(2'(2'(2'(2'(2'(2'(0'(0'(0'(0'(1'(2'(1'(2'(2'(2'(1'(0'(2'(0'(2'(0'(x1407))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: x1407 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1407))))))))))))))))))))))))))))))))))))))))))) 1'(z) -{ 1 }-> 1'(2'(1'(2'(0'(0'(1'(1'(1'(2'(2'(2'(2'(1'(2'(2'(2'(0'(2'(0'(1'(2'(2'(2'(2'(0'(0)))))))))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1))))))))))))))))))))) 1'(z) -{ 1 }-> 1'(2'(1'(2'(0'(0'(1'(1'(1'(2'(2'(2'(2'(1'(2'(2'(2'(0'(2'(0'(1'(2'(2'(2'(2'(0'(1 + x1)))))))))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1))))))))))))))))))))) 1'(z) -{ 1 }-> 1'(2'(0'(0'(1'(1'(2'(2'(1'(2'(0'(2'(2'(0'(1'(1'(2'(2'(2'(1'(2'(2'(2'(2'(2'(1'(2'(x1))))))))))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1))))))))))))))))))))) 1'(z) -{ 0 }-> 0 :|: v0 >= 0, z = v0 1'(z) -{ 0 }-> 1 + x0 :|: z = x0, x0 >= 0 2'(z) -{ 1 }-> 2'(2'(2'(2'(1'(2'(1'(2'(0'(2'(2'(2'(2'(2'(0'(1'(2'(0'(2'(1'(0'(0'(0'(2'(0'(2'(2'(x1))))))))))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1))))))))))))))))))))) 2'(z) -{ 2 }-> 2'(2'(2'(2'(0'(2'(0'(2'(2'(1'(2'(1'(0'(1'(1'(2'(2'(0'(0'(2'(1'(2'(1'(2'(1'(2'(2'(2'(2'(2'(2'(1'(0'(1'(2'(2'(0'(1'(1'(1'(2'(2'(1'(1'(0'(0'(0'(0'(2'(2'(1'(2'(2'(x1544))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: x1544 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1544))))))))))))))))))))))))))))))))))))))))))) 2'(z) -{ 2 }-> 2'(2'(2'(2'(0'(2'(0'(2'(2'(1'(2'(1'(0'(1'(1'(2'(2'(0'(0'(2'(1'(2'(1'(2'(1'(2'(2'(1'(2'(1'(2'(1'(2'(2'(0'(2'(0'(1'(2'(1'(2'(1'(2'(0'(1'(2'(0'(0'(2'(2'(1'(1'(2'(x1545))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: x1545 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1545))))))))))))))))))))))))))))))))))))))))))) 2'(z) -{ 2 }-> 2'(2'(2'(2'(0'(2'(0'(2'(2'(1'(2'(1'(0'(1'(1'(2'(2'(0'(0'(2'(1'(2'(1'(2'(1'(2'(2'(0'(1'(1'(1'(2'(2'(1'(1'(2'(2'(2'(2'(1'(0'(1'(2'(1'(1'(2'(2'(2'(1'(2'(1'(2'(2'(x1548))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: x1548 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1548))))))))))))))))))))))))))))))))))))))))))) 2'(z) -{ 2 }-> 2'(2'(2'(2'(0'(2'(0'(2'(2'(1'(2'(1'(0'(1'(1'(2'(2'(0'(0'(2'(1'(2'(1'(2'(1'(2'(0'(2'(2'(2'(0'(1'(1'(2'(1'(2'(2'(1'(2'(1'(0'(2'(2'(2'(1'(2'(1'(1'(0'(0'(1'(0'(2'(x1543))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1543))))))))))))))))))))))))))))))))))))))))))), x1543 >= 0 2'(z) -{ 2 }-> 2'(2'(2'(2'(0'(2'(0'(2'(2'(1'(2'(1'(0'(1'(1'(2'(2'(0'(0'(2'(1'(2'(1'(2'(1'(2'(0'(2'(1'(1'(1'(1'(2'(2'(1'(1'(0'(1'(1'(2'(1'(2'(1'(0'(0'(1'(2'(2'(1'(0'(0'(2'(2'(x1540))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1540))))))))))))))))))))))))))))))))))))))))))), x1540 >= 0 2'(z) -{ 2 }-> 2'(2'(2'(2'(0'(2'(0'(2'(2'(1'(2'(1'(0'(1'(1'(2'(2'(0'(0'(2'(1'(2'(1'(2'(1'(2'(0'(2'(0'(1'(0'(2'(0'(2'(2'(2'(1'(2'(1'(1'(2'(2'(2'(2'(2'(2'(2'(1'(0'(0'(0'(2'(2'(x1541))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: x1541 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1541))))))))))))))))))))))))))))))))))))))))))) 2'(z) -{ 2 }-> 2'(2'(2'(2'(0'(2'(0'(2'(2'(1'(2'(1'(0'(1'(1'(2'(2'(0'(0'(2'(1'(2'(1'(2'(1'(2'(0'(1'(2'(0'(0'(2'(1'(2'(2'(1'(1'(2'(1'(1'(1'(1'(2'(2'(2'(1'(2'(1'(0'(2'(1'(1'(0'(x1547))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1547))))))))))))))))))))))))))))))))))))))))))), x1547 >= 0 2'(z) -{ 2 }-> 2'(2'(2'(2'(0'(2'(0'(2'(2'(1'(2'(1'(0'(1'(1'(2'(2'(0'(0'(2'(1'(2'(1'(2'(1'(2'(0'(1'(1'(1'(0'(2'(1'(2'(1'(2'(0'(1'(1'(2'(1'(1'(2'(2'(2'(2'(2'(0'(2'(2'(2'(1'(2'(x1546))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: x1546 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1546))))))))))))))))))))))))))))))))))))))))))) 2'(z) -{ 2 }-> 2'(2'(2'(2'(0'(2'(0'(2'(2'(1'(2'(1'(0'(1'(1'(2'(2'(0'(0'(2'(1'(2'(1'(2'(1'(2'(0'(0'(1'(2'(2'(1'(1'(2'(2'(1'(1'(2'(2'(2'(2'(0'(1'(2'(1'(2'(1'(1'(1'(0'(1'(2'(2'(x1539))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: x1539 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1539))))))))))))))))))))))))))))))))))))))))))) 2'(z) -{ 2 }-> 2'(2'(2'(2'(0'(2'(0'(2'(2'(1'(2'(1'(0'(1'(1'(2'(2'(0'(0'(2'(1'(2'(1'(2'(1'(2'(0'(0'(0'(1'(2'(2'(2'(2'(2'(2'(2'(0'(0'(0'(0'(1'(2'(1'(2'(2'(2'(1'(0'(2'(0'(2'(0'(x1542))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1542))))))))))))))))))))))))))))))))))))))))))), x1542 >= 0 2'(z) -{ 1 }-> 2'(2'(2'(2'(0'(2'(0'(2'(2'(1'(2'(1'(0'(1'(1'(2'(2'(0'(0'(2'(1'(2'(1'(2'(1'(2'(0)))))))))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1))))))))))))))))))))) 2'(z) -{ 1 }-> 2'(2'(2'(2'(0'(2'(0'(2'(2'(1'(2'(1'(0'(1'(1'(2'(2'(0'(0'(2'(1'(2'(1'(2'(1'(2'(1 + x1)))))))))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1))))))))))))))))))))) 2'(z) -{ 1 }-> 2'(2'(2'(1'(1'(2'(1'(2'(0'(1'(1'(2'(1'(0'(2'(1'(0'(0'(1'(0'(1'(1'(2'(1'(2'(2'(2'(x1))))))))))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1))))))))))))))))))))) 2'(z) -{ 1 }-> 2'(2'(1'(1'(2'(2'(1'(2'(1'(2'(2'(0'(0'(0'(2'(1'(0'(2'(2'(1'(2'(2'(0'(1'(1'(2'(2'(x1))))))))))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1))))))))))))))))))))) 2'(z) -{ 2 }-> 2'(2'(1'(0'(0'(0'(0'(2'(2'(1'(1'(2'(2'(1'(0'(2'(1'(2'(1'(2'(2'(1'(2'(2'(2'(0'(2'(2'(2'(2'(2'(1'(0'(1'(2'(2'(0'(1'(1'(1'(2'(2'(1'(1'(0'(0'(0'(0'(2'(2'(1'(2'(2'(x1621))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1621))))))))))))))))))))))))))))))))))))))))))), x1621 >= 0 2'(z) -{ 2 }-> 2'(2'(1'(0'(0'(0'(0'(2'(2'(1'(1'(2'(2'(1'(0'(2'(1'(2'(1'(2'(2'(1'(2'(2'(2'(0'(2'(1'(2'(1'(2'(1'(2'(2'(0'(2'(0'(1'(2'(1'(2'(1'(2'(0'(1'(2'(0'(0'(2'(2'(1'(1'(2'(x1622))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1622))))))))))))))))))))))))))))))))))))))))))), x1622 >= 0 2'(z) -{ 2 }-> 2'(2'(1'(0'(0'(0'(0'(2'(2'(1'(1'(2'(2'(1'(0'(2'(1'(2'(1'(2'(2'(1'(2'(2'(2'(0'(2'(0'(1'(1'(1'(2'(2'(1'(1'(2'(2'(2'(2'(1'(0'(1'(2'(1'(1'(2'(2'(2'(1'(2'(1'(2'(2'(x1625))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1625))))))))))))))))))))))))))))))))))))))))))), x1625 >= 0 2'(z) -{ 2 }-> 2'(2'(1'(0'(0'(0'(0'(2'(2'(1'(1'(2'(2'(1'(0'(2'(1'(2'(1'(2'(2'(1'(2'(2'(2'(0'(0'(2'(2'(2'(0'(1'(1'(2'(1'(2'(2'(1'(2'(1'(0'(2'(2'(2'(1'(2'(1'(1'(0'(0'(1'(0'(2'(x1620))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: x1620 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1620))))))))))))))))))))))))))))))))))))))))))) 2'(z) -{ 2 }-> 2'(2'(1'(0'(0'(0'(0'(2'(2'(1'(1'(2'(2'(1'(0'(2'(1'(2'(1'(2'(2'(1'(2'(2'(2'(0'(0'(2'(1'(1'(1'(1'(2'(2'(1'(1'(0'(1'(1'(2'(1'(2'(1'(0'(0'(1'(2'(2'(1'(0'(0'(2'(2'(x1617))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1617))))))))))))))))))))))))))))))))))))))))))), x1617 >= 0 2'(z) -{ 2 }-> 2'(2'(1'(0'(0'(0'(0'(2'(2'(1'(1'(2'(2'(1'(0'(2'(1'(2'(1'(2'(2'(1'(2'(2'(2'(0'(0'(2'(0'(1'(0'(2'(0'(2'(2'(2'(1'(2'(1'(1'(2'(2'(2'(2'(2'(2'(2'(1'(0'(0'(0'(2'(2'(x1618))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: x1618 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1618))))))))))))))))))))))))))))))))))))))))))) 2'(z) -{ 2 }-> 2'(2'(1'(0'(0'(0'(0'(2'(2'(1'(1'(2'(2'(1'(0'(2'(1'(2'(1'(2'(2'(1'(2'(2'(2'(0'(0'(1'(2'(0'(0'(2'(1'(2'(2'(1'(1'(2'(1'(1'(1'(1'(2'(2'(2'(1'(2'(1'(0'(2'(1'(1'(0'(x1624))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: x1624 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1624))))))))))))))))))))))))))))))))))))))))))) 2'(z) -{ 2 }-> 2'(2'(1'(0'(0'(0'(0'(2'(2'(1'(1'(2'(2'(1'(0'(2'(1'(2'(1'(2'(2'(1'(2'(2'(2'(0'(0'(1'(1'(1'(0'(2'(1'(2'(1'(2'(0'(1'(1'(2'(1'(1'(2'(2'(2'(2'(2'(0'(2'(2'(2'(1'(2'(x1623))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: x1623 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1623))))))))))))))))))))))))))))))))))))))))))) 2'(z) -{ 2 }-> 2'(2'(1'(0'(0'(0'(0'(2'(2'(1'(1'(2'(2'(1'(0'(2'(1'(2'(1'(2'(2'(1'(2'(2'(2'(0'(0'(0'(1'(2'(2'(1'(1'(2'(2'(1'(1'(2'(2'(2'(2'(0'(1'(2'(1'(2'(1'(1'(1'(0'(1'(2'(2'(x1616))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: x1616 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1616))))))))))))))))))))))))))))))))))))))))))) 2'(z) -{ 2 }-> 2'(2'(1'(0'(0'(0'(0'(2'(2'(1'(1'(2'(2'(1'(0'(2'(1'(2'(1'(2'(2'(1'(2'(2'(2'(0'(0'(0'(0'(1'(2'(2'(2'(2'(2'(2'(2'(0'(0'(0'(0'(1'(2'(1'(2'(2'(2'(1'(0'(2'(0'(2'(0'(x1619))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1619))))))))))))))))))))))))))))))))))))))))))), x1619 >= 0 2'(z) -{ 1 }-> 2'(2'(1'(0'(0'(0'(0'(2'(2'(1'(1'(2'(2'(1'(0'(2'(1'(2'(1'(2'(2'(1'(2'(2'(2'(0'(0)))))))))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1))))))))))))))))))))) 2'(z) -{ 1 }-> 2'(2'(1'(0'(0'(0'(0'(2'(2'(1'(1'(2'(2'(1'(0'(2'(1'(2'(1'(2'(2'(1'(2'(2'(2'(0'(1 + x1)))))))))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1))))))))))))))))))))) 2'(z) -{ 2 }-> 2'(2'(0'(1'(1'(2'(2'(2'(1'(1'(2'(1'(0'(0'(1'(2'(2'(1'(2'(1'(0'(2'(2'(0'(0'(2'(2'(2'(2'(2'(2'(1'(0'(1'(2'(2'(0'(1'(1'(1'(2'(2'(1'(1'(0'(0'(0'(0'(2'(2'(1'(2'(2'(x1149))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: x1149 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1149))))))))))))))))))))))))))))))))))))))))))) 2'(z) -{ 2 }-> 2'(2'(0'(1'(1'(2'(2'(2'(1'(1'(2'(1'(0'(0'(1'(2'(2'(1'(2'(1'(0'(2'(2'(0'(0'(2'(2'(1'(2'(1'(2'(1'(2'(2'(0'(2'(0'(1'(2'(1'(2'(1'(2'(0'(1'(2'(0'(0'(2'(2'(1'(1'(2'(x1150))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1150))))))))))))))))))))))))))))))))))))))))))), x1150 >= 0 2'(z) -{ 2 }-> 2'(2'(0'(1'(1'(2'(2'(2'(1'(1'(2'(1'(0'(0'(1'(2'(2'(1'(2'(1'(0'(2'(2'(0'(0'(2'(2'(0'(1'(1'(1'(2'(2'(1'(1'(2'(2'(2'(2'(1'(0'(1'(2'(1'(1'(2'(2'(2'(1'(2'(1'(2'(2'(x1153))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1153))))))))))))))))))))))))))))))))))))))))))), x1153 >= 0 2'(z) -{ 2 }-> 2'(2'(0'(1'(1'(2'(2'(2'(1'(1'(2'(1'(0'(0'(1'(2'(2'(1'(2'(1'(0'(2'(2'(0'(0'(2'(0'(2'(2'(2'(0'(1'(1'(2'(1'(2'(2'(1'(2'(1'(0'(2'(2'(2'(1'(2'(1'(1'(0'(0'(1'(0'(2'(x1148))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1148))))))))))))))))))))))))))))))))))))))))))), x1148 >= 0 2'(z) -{ 2 }-> 2'(2'(0'(1'(1'(2'(2'(2'(1'(1'(2'(1'(0'(0'(1'(2'(2'(1'(2'(1'(0'(2'(2'(0'(0'(2'(0'(2'(1'(1'(1'(1'(2'(2'(1'(1'(0'(1'(1'(2'(1'(2'(1'(0'(0'(1'(2'(2'(1'(0'(0'(2'(2'(x1145))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: x1145 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1145))))))))))))))))))))))))))))))))))))))))))) 2'(z) -{ 2 }-> 2'(2'(0'(1'(1'(2'(2'(2'(1'(1'(2'(1'(0'(0'(1'(2'(2'(1'(2'(1'(0'(2'(2'(0'(0'(2'(0'(2'(0'(1'(0'(2'(0'(2'(2'(2'(1'(2'(1'(1'(2'(2'(2'(2'(2'(2'(2'(1'(0'(0'(0'(2'(2'(x1146))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1146))))))))))))))))))))))))))))))))))))))))))), x1146 >= 0 2'(z) -{ 2 }-> 2'(2'(0'(1'(1'(2'(2'(2'(1'(1'(2'(1'(0'(0'(1'(2'(2'(1'(2'(1'(0'(2'(2'(0'(0'(2'(0'(1'(2'(0'(0'(2'(1'(2'(2'(1'(1'(2'(1'(1'(1'(1'(2'(2'(2'(1'(2'(1'(0'(2'(1'(1'(0'(x1152))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: x1152 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1152))))))))))))))))))))))))))))))))))))))))))) 2'(z) -{ 2 }-> 2'(2'(0'(1'(1'(2'(2'(2'(1'(1'(2'(1'(0'(0'(1'(2'(2'(1'(2'(1'(0'(2'(2'(0'(0'(2'(0'(1'(1'(1'(0'(2'(1'(2'(1'(2'(0'(1'(1'(2'(1'(1'(2'(2'(2'(2'(2'(0'(2'(2'(2'(1'(2'(x1151))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: x1151 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1151))))))))))))))))))))))))))))))))))))))))))) 2'(z) -{ 2 }-> 2'(2'(0'(1'(1'(2'(2'(2'(1'(1'(2'(1'(0'(0'(1'(2'(2'(1'(2'(1'(0'(2'(2'(0'(0'(2'(0'(0'(1'(2'(2'(1'(1'(2'(2'(1'(1'(2'(2'(2'(2'(0'(1'(2'(1'(2'(1'(1'(1'(0'(1'(2'(2'(x1144))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: x1144 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1144))))))))))))))))))))))))))))))))))))))))))) 2'(z) -{ 2 }-> 2'(2'(0'(1'(1'(2'(2'(2'(1'(1'(2'(1'(0'(0'(1'(2'(2'(1'(2'(1'(0'(2'(2'(0'(0'(2'(0'(0'(0'(1'(2'(2'(2'(2'(2'(2'(2'(0'(0'(0'(0'(1'(2'(1'(2'(2'(2'(1'(0'(2'(0'(2'(0'(x1147))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: x1147 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1147))))))))))))))))))))))))))))))))))))))))))) 2'(z) -{ 1 }-> 2'(2'(0'(1'(1'(2'(2'(2'(1'(1'(2'(1'(0'(0'(1'(2'(2'(1'(2'(1'(0'(2'(2'(0'(0'(2'(0)))))))))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1))))))))))))))))))))) 2'(z) -{ 1 }-> 2'(2'(0'(1'(1'(2'(2'(2'(1'(1'(2'(1'(0'(0'(1'(2'(2'(1'(2'(1'(0'(2'(2'(0'(0'(2'(1 + x1)))))))))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1))))))))))))))))))))) 2'(z) -{ 2 }-> 2'(1'(2'(2'(0'(1'(2'(1'(1'(0'(1'(2'(1'(0'(0'(1'(2'(2'(1'(2'(1'(0'(2'(1'(2'(2'(2'(2'(2'(1'(1'(2'(2'(2'(1'(2'(2'(0'(0'(2'(0'(0'(1'(2'(0'(2'(2'(1'(2'(2'(2'(0'(2'(x131))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x131))))))))))))))))))))))))))))))))))))))))))), x131 >= 0 2'(z) -{ 2 }-> 2'(1'(2'(2'(0'(1'(2'(1'(1'(0'(1'(2'(1'(0'(0'(1'(2'(2'(1'(2'(1'(0'(2'(1'(2'(2'(2'(2'(1'(2'(1'(2'(2'(1'(0'(1'(2'(2'(2'(1'(0'(2'(1'(1'(2'(1'(0'(1'(1'(1'(2'(2'(2'(x129))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x129))))))))))))))))))))))))))))))))))))))))))), x129 >= 0 2'(z) -{ 2 }-> 2'(1'(2'(2'(0'(1'(2'(1'(1'(0'(1'(2'(1'(0'(0'(1'(2'(2'(1'(2'(1'(0'(2'(1'(2'(2'(2'(1'(2'(1'(2'(2'(2'(2'(2'(0'(0'(0'(0'(2'(1'(2'(2'(2'(2'(1'(2'(2'(2'(0'(0'(2'(2'(x130))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x130))))))))))))))))))))))))))))))))))))))))))), x130 >= 0 2'(z) -{ 2 }-> 2'(1'(2'(2'(0'(1'(2'(1'(1'(0'(1'(2'(1'(0'(0'(1'(2'(2'(1'(2'(1'(0'(2'(1'(2'(2'(2'(1'(2'(1'(2'(2'(2'(1'(2'(2'(0'(2'(2'(1'(0'(2'(1'(2'(2'(0'(1'(0'(1'(1'(2'(2'(2'(x138))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x138))))))))))))))))))))))))))))))))))))))))))), x138 >= 0 2'(z) -{ 2 }-> 2'(1'(2'(2'(0'(1'(2'(1'(1'(0'(1'(2'(1'(0'(0'(1'(2'(2'(1'(2'(1'(0'(2'(1'(2'(2'(2'(1'(2'(0'(2'(0'(2'(0'(2'(2'(2'(2'(1'(2'(1'(2'(2'(2'(1'(1'(2'(1'(0'(1'(1'(2'(2'(x132))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: x132 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x132))))))))))))))))))))))))))))))))))))))))))) 2'(z) -{ 2 }-> 2'(1'(2'(2'(0'(1'(2'(1'(1'(0'(1'(2'(1'(0'(0'(1'(2'(2'(1'(2'(1'(0'(2'(1'(2'(2'(2'(0'(2'(2'(1'(1'(1'(2'(2'(0'(1'(2'(0'(2'(1'(1'(2'(1'(0'(0'(2'(0'(1'(2'(2'(2'(2'(x137))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x137))))))))))))))))))))))))))))))))))))))))))), x137 >= 0 2'(z) -{ 2 }-> 2'(1'(2'(2'(0'(1'(2'(1'(1'(0'(1'(2'(1'(0'(0'(1'(2'(2'(1'(2'(1'(0'(2'(1'(2'(2'(1'(2'(2'(0'(2'(1'(2'(2'(0'(1'(0'(2'(1'(0'(1'(2'(1'(2'(2'(2'(2'(0'(2'(2'(0'(2'(0'(x128))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x128))))))))))))))))))))))))))))))))))))))))))), x128 >= 0 2'(z) -{ 2 }-> 2'(1'(2'(2'(0'(1'(2'(1'(1'(0'(1'(2'(1'(0'(0'(1'(2'(2'(1'(2'(1'(0'(2'(1'(2'(2'(1'(2'(1'(2'(1'(2'(2'(2'(2'(2'(2'(0'(0'(2'(0'(0'(2'(2'(0'(1'(1'(1'(1'(0'(0'(2'(1'(x136))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: x136 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x136))))))))))))))))))))))))))))))))))))))))))) 2'(z) -{ 2 }-> 2'(1'(2'(2'(0'(1'(2'(1'(1'(0'(1'(2'(1'(0'(0'(1'(2'(2'(1'(2'(1'(0'(2'(1'(2'(2'(1'(2'(1'(2'(1'(1'(1'(1'(2'(1'(1'(1'(2'(2'(0'(1'(0'(2'(2'(1'(2'(2'(2'(1'(0'(1'(2'(x133))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x133))))))))))))))))))))))))))))))))))))))))))), x133 >= 0 2'(z) -{ 2 }-> 2'(1'(2'(2'(0'(1'(2'(1'(1'(0'(1'(2'(1'(0'(0'(1'(2'(2'(1'(2'(1'(0'(2'(1'(2'(2'(1'(2'(1'(2'(0'(0'(1'(1'(1'(2'(2'(2'(2'(1'(2'(2'(2'(0'(2'(0'(1'(2'(2'(2'(2'(0'(0'(x135))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: x135 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x135))))))))))))))))))))))))))))))))))))))))))) 2'(z) -{ 2 }-> 2'(1'(2'(2'(0'(1'(2'(1'(1'(0'(1'(2'(1'(0'(0'(1'(2'(2'(1'(2'(1'(0'(2'(1'(2'(2'(1'(2'(0'(0'(1'(1'(2'(2'(1'(2'(0'(2'(2'(0'(1'(1'(2'(2'(2'(1'(2'(2'(2'(2'(2'(1'(2'(x134))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x134))))))))))))))))))))))))))))))))))))))))))), x134 >= 0 2'(z) -{ 1 }-> 2'(1'(2'(2'(0'(1'(2'(1'(1'(0'(1'(2'(1'(0'(0'(1'(2'(2'(1'(2'(1'(0'(2'(1'(2'(2'(0)))))))))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1))))))))))))))))))))) 2'(z) -{ 1 }-> 2'(1'(2'(2'(0'(1'(2'(1'(1'(0'(1'(2'(1'(0'(0'(1'(2'(2'(1'(2'(1'(0'(2'(1'(2'(2'(1 + x1)))))))))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1))))))))))))))))))))) 2'(z) -{ 1 }-> 2'(1'(2'(1'(2'(0'(0'(2'(1'(0'(0'(2'(2'(0'(1'(0'(2'(1'(2'(1'(2'(2'(1'(2'(1'(1'(2'(x1))))))))))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1))))))))))))))))))))) 2'(z) -{ 1 }-> 2'(1'(1'(2'(2'(2'(2'(1'(2'(1'(0'(0'(2'(1'(0'(2'(2'(0'(1'(1'(0'(2'(0'(0'(0'(0'(2'(x1))))))))))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1))))))))))))))))))))) 2'(z) -{ 2 }-> 2'(1'(1'(2'(0'(1'(2'(0'(0'(2'(0'(1'(2'(2'(1'(1'(1'(2'(2'(2'(0'(0'(1'(1'(0'(2'(2'(2'(2'(2'(2'(1'(0'(1'(2'(2'(0'(1'(1'(1'(2'(2'(1'(1'(0'(0'(0'(0'(2'(2'(1'(2'(2'(x182))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: x182 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x182))))))))))))))))))))))))))))))))))))))))))) 2'(z) -{ 2 }-> 2'(1'(1'(2'(0'(1'(2'(0'(0'(2'(0'(1'(2'(2'(1'(1'(1'(2'(2'(2'(0'(0'(1'(1'(0'(2'(2'(1'(2'(1'(2'(1'(2'(2'(0'(2'(0'(1'(2'(1'(2'(1'(2'(0'(1'(2'(0'(0'(2'(2'(1'(1'(2'(x183))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: x183 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x183))))))))))))))))))))))))))))))))))))))))))) 2'(z) -{ 2 }-> 2'(1'(1'(2'(0'(1'(2'(0'(0'(2'(0'(1'(2'(2'(1'(1'(1'(2'(2'(2'(0'(0'(1'(1'(0'(2'(2'(0'(1'(1'(1'(2'(2'(1'(1'(2'(2'(2'(2'(1'(0'(1'(2'(1'(1'(2'(2'(2'(1'(2'(1'(2'(2'(x186))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: x186 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x186))))))))))))))))))))))))))))))))))))))))))) 2'(z) -{ 2 }-> 2'(1'(1'(2'(0'(1'(2'(0'(0'(2'(0'(1'(2'(2'(1'(1'(1'(2'(2'(2'(0'(0'(1'(1'(0'(2'(0'(2'(2'(2'(0'(1'(1'(2'(1'(2'(2'(1'(2'(1'(0'(2'(2'(2'(1'(2'(1'(1'(0'(0'(1'(0'(2'(x181))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: x181 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x181))))))))))))))))))))))))))))))))))))))))))) 2'(z) -{ 2 }-> 2'(1'(1'(2'(0'(1'(2'(0'(0'(2'(0'(1'(2'(2'(1'(1'(1'(2'(2'(2'(0'(0'(1'(1'(0'(2'(0'(2'(1'(1'(1'(1'(2'(2'(1'(1'(0'(1'(1'(2'(1'(2'(1'(0'(0'(1'(2'(2'(1'(0'(0'(2'(2'(x178))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x178))))))))))))))))))))))))))))))))))))))))))), x178 >= 0 2'(z) -{ 2 }-> 2'(1'(1'(2'(0'(1'(2'(0'(0'(2'(0'(1'(2'(2'(1'(1'(1'(2'(2'(2'(0'(0'(1'(1'(0'(2'(0'(2'(0'(1'(0'(2'(0'(2'(2'(2'(1'(2'(1'(1'(2'(2'(2'(2'(2'(2'(2'(1'(0'(0'(0'(2'(2'(x179))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x179))))))))))))))))))))))))))))))))))))))))))), x179 >= 0 2'(z) -{ 2 }-> 2'(1'(1'(2'(0'(1'(2'(0'(0'(2'(0'(1'(2'(2'(1'(1'(1'(2'(2'(2'(0'(0'(1'(1'(0'(2'(0'(1'(2'(0'(0'(2'(1'(2'(2'(1'(1'(2'(1'(1'(1'(1'(2'(2'(2'(1'(2'(1'(0'(2'(1'(1'(0'(x185))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: x185 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x185))))))))))))))))))))))))))))))))))))))))))) 2'(z) -{ 2 }-> 2'(1'(1'(2'(0'(1'(2'(0'(0'(2'(0'(1'(2'(2'(1'(1'(1'(2'(2'(2'(0'(0'(1'(1'(0'(2'(0'(1'(1'(1'(0'(2'(1'(2'(1'(2'(0'(1'(1'(2'(1'(1'(2'(2'(2'(2'(2'(0'(2'(2'(2'(1'(2'(x184))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x184))))))))))))))))))))))))))))))))))))))))))), x184 >= 0 2'(z) -{ 2 }-> 2'(1'(1'(2'(0'(1'(2'(0'(0'(2'(0'(1'(2'(2'(1'(1'(1'(2'(2'(2'(0'(0'(1'(1'(0'(2'(0'(0'(1'(2'(2'(1'(1'(2'(2'(1'(1'(2'(2'(2'(2'(0'(1'(2'(1'(2'(1'(1'(1'(0'(1'(2'(2'(x177))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: x177 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x177))))))))))))))))))))))))))))))))))))))))))) 2'(z) -{ 2 }-> 2'(1'(1'(2'(0'(1'(2'(0'(0'(2'(0'(1'(2'(2'(1'(1'(1'(2'(2'(2'(0'(0'(1'(1'(0'(2'(0'(0'(0'(1'(2'(2'(2'(2'(2'(2'(2'(0'(0'(0'(0'(1'(2'(1'(2'(2'(2'(1'(0'(2'(0'(2'(0'(x180))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x180))))))))))))))))))))))))))))))))))))))))))), x180 >= 0 2'(z) -{ 1 }-> 2'(1'(1'(2'(0'(1'(2'(0'(0'(2'(0'(1'(2'(2'(1'(1'(1'(2'(2'(2'(0'(0'(1'(1'(0'(2'(0)))))))))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1))))))))))))))))))))) 2'(z) -{ 1 }-> 2'(1'(1'(2'(0'(1'(2'(0'(0'(2'(0'(1'(2'(2'(1'(1'(1'(2'(2'(2'(0'(0'(1'(1'(0'(2'(1 + x1)))))))))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1))))))))))))))))))))) 2'(z) -{ 1 }-> 2'(1'(1'(1'(2'(2'(2'(1'(1'(0'(2'(2'(1'(0'(1'(0'(2'(2'(1'(2'(0'(0'(0'(1'(2'(1'(2'(x1))))))))))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1))))))))))))))))))))) 2'(z) -{ 2 }-> 2'(1'(1'(1'(2'(2'(0'(0'(0'(2'(1'(0'(0'(0'(1'(1'(0'(2'(2'(0'(2'(2'(2'(2'(2'(2'(2'(2'(2'(2'(2'(1'(0'(1'(2'(2'(0'(1'(1'(1'(2'(2'(1'(1'(0'(0'(0'(0'(2'(2'(1'(2'(2'(x1235))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1235))))))))))))))))))))))))))))))))))))))))))), x1235 >= 0 2'(z) -{ 2 }-> 2'(1'(1'(1'(2'(2'(0'(0'(0'(2'(1'(0'(0'(0'(1'(1'(0'(2'(2'(0'(2'(2'(2'(2'(2'(2'(2'(1'(2'(1'(2'(1'(2'(2'(0'(2'(0'(1'(2'(1'(2'(1'(2'(0'(1'(2'(0'(0'(2'(2'(1'(1'(2'(x1236))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1236))))))))))))))))))))))))))))))))))))))))))), x1236 >= 0 2'(z) -{ 2 }-> 2'(1'(1'(1'(2'(2'(0'(0'(0'(2'(1'(0'(0'(0'(1'(1'(0'(2'(2'(0'(2'(2'(2'(2'(2'(2'(2'(0'(1'(1'(1'(2'(2'(1'(1'(2'(2'(2'(2'(1'(0'(1'(2'(1'(1'(2'(2'(2'(1'(2'(1'(2'(2'(x1239))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1239))))))))))))))))))))))))))))))))))))))))))), x1239 >= 0 2'(z) -{ 2 }-> 2'(1'(1'(1'(2'(2'(0'(0'(0'(2'(1'(0'(0'(0'(1'(1'(0'(2'(2'(0'(2'(2'(2'(2'(2'(2'(0'(2'(2'(2'(0'(1'(1'(2'(1'(2'(2'(1'(2'(1'(0'(2'(2'(2'(1'(2'(1'(1'(0'(0'(1'(0'(2'(x1234))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1234))))))))))))))))))))))))))))))))))))))))))), x1234 >= 0 2'(z) -{ 2 }-> 2'(1'(1'(1'(2'(2'(0'(0'(0'(2'(1'(0'(0'(0'(1'(1'(0'(2'(2'(0'(2'(2'(2'(2'(2'(2'(0'(2'(1'(1'(1'(1'(2'(2'(1'(1'(0'(1'(1'(2'(1'(2'(1'(0'(0'(1'(2'(2'(1'(0'(0'(2'(2'(x1231))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1231))))))))))))))))))))))))))))))))))))))))))), x1231 >= 0 2'(z) -{ 2 }-> 2'(1'(1'(1'(2'(2'(0'(0'(0'(2'(1'(0'(0'(0'(1'(1'(0'(2'(2'(0'(2'(2'(2'(2'(2'(2'(0'(2'(0'(1'(0'(2'(0'(2'(2'(2'(1'(2'(1'(1'(2'(2'(2'(2'(2'(2'(2'(1'(0'(0'(0'(2'(2'(x1232))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: x1232 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1232))))))))))))))))))))))))))))))))))))))))))) 2'(z) -{ 2 }-> 2'(1'(1'(1'(2'(2'(0'(0'(0'(2'(1'(0'(0'(0'(1'(1'(0'(2'(2'(0'(2'(2'(2'(2'(2'(2'(0'(1'(2'(0'(0'(2'(1'(2'(2'(1'(1'(2'(1'(1'(1'(1'(2'(2'(2'(1'(2'(1'(0'(2'(1'(1'(0'(x1238))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: x1238 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1238))))))))))))))))))))))))))))))))))))))))))) 2'(z) -{ 2 }-> 2'(1'(1'(1'(2'(2'(0'(0'(0'(2'(1'(0'(0'(0'(1'(1'(0'(2'(2'(0'(2'(2'(2'(2'(2'(2'(0'(1'(1'(1'(0'(2'(1'(2'(1'(2'(0'(1'(1'(2'(1'(1'(2'(2'(2'(2'(2'(0'(2'(2'(2'(1'(2'(x1237))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1237))))))))))))))))))))))))))))))))))))))))))), x1237 >= 0 2'(z) -{ 2 }-> 2'(1'(1'(1'(2'(2'(0'(0'(0'(2'(1'(0'(0'(0'(1'(1'(0'(2'(2'(0'(2'(2'(2'(2'(2'(2'(0'(0'(1'(2'(2'(1'(1'(2'(2'(1'(1'(2'(2'(2'(2'(0'(1'(2'(1'(2'(1'(1'(1'(0'(1'(2'(2'(x1230))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: x1230 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1230))))))))))))))))))))))))))))))))))))))))))) 2'(z) -{ 2 }-> 2'(1'(1'(1'(2'(2'(0'(0'(0'(2'(1'(0'(0'(0'(1'(1'(0'(2'(2'(0'(2'(2'(2'(2'(2'(2'(0'(0'(0'(1'(2'(2'(2'(2'(2'(2'(2'(0'(0'(0'(0'(1'(2'(1'(2'(2'(2'(1'(0'(2'(0'(2'(0'(x1233))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: x1233 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1233))))))))))))))))))))))))))))))))))))))))))) 2'(z) -{ 1 }-> 2'(1'(1'(1'(2'(2'(0'(0'(0'(2'(1'(0'(0'(0'(1'(1'(0'(2'(2'(0'(2'(2'(2'(2'(2'(2'(0)))))))))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1))))))))))))))))))))) 2'(z) -{ 1 }-> 2'(1'(1'(1'(2'(2'(0'(0'(0'(2'(1'(0'(0'(0'(1'(1'(0'(2'(2'(0'(2'(2'(2'(2'(2'(2'(1 + x1)))))))))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1))))))))))))))))))))) 2'(z) -{ 2 }-> 2'(0'(2'(2'(0'(0'(2'(2'(1'(1'(1'(2'(0'(1'(0'(1'(2'(2'(2'(2'(2'(0'(0'(0'(2'(2'(2'(2'(2'(1'(1'(2'(2'(2'(1'(2'(2'(0'(0'(2'(0'(0'(1'(2'(0'(2'(2'(1'(2'(2'(2'(0'(2'(x1377))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1377))))))))))))))))))))))))))))))))))))))))))), x1377 >= 0 2'(z) -{ 2 }-> 2'(0'(2'(2'(0'(0'(2'(2'(1'(1'(1'(2'(0'(1'(0'(1'(2'(2'(2'(2'(2'(0'(0'(0'(2'(2'(2'(2'(1'(2'(1'(2'(2'(1'(0'(1'(2'(2'(2'(1'(0'(2'(1'(1'(2'(1'(0'(1'(1'(1'(2'(2'(2'(x1375))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1375))))))))))))))))))))))))))))))))))))))))))), x1375 >= 0 2'(z) -{ 2 }-> 2'(0'(2'(2'(0'(0'(2'(2'(1'(1'(1'(2'(0'(1'(0'(1'(2'(2'(2'(2'(2'(0'(0'(0'(2'(2'(2'(1'(2'(1'(2'(2'(2'(2'(2'(0'(0'(0'(0'(2'(1'(2'(2'(2'(2'(1'(2'(2'(2'(0'(0'(2'(2'(x1376))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: x1376 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1376))))))))))))))))))))))))))))))))))))))))))) 2'(z) -{ 2 }-> 2'(0'(2'(2'(0'(0'(2'(2'(1'(1'(1'(2'(0'(1'(0'(1'(2'(2'(2'(2'(2'(0'(0'(0'(2'(2'(2'(1'(2'(1'(2'(2'(2'(1'(2'(2'(0'(2'(2'(1'(0'(2'(1'(2'(2'(0'(1'(0'(1'(1'(2'(2'(2'(x1384))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1384))))))))))))))))))))))))))))))))))))))))))), x1384 >= 0 2'(z) -{ 2 }-> 2'(0'(2'(2'(0'(0'(2'(2'(1'(1'(1'(2'(0'(1'(0'(1'(2'(2'(2'(2'(2'(0'(0'(0'(2'(2'(2'(1'(2'(0'(2'(0'(2'(0'(2'(2'(2'(2'(1'(2'(1'(2'(2'(2'(1'(1'(2'(1'(0'(1'(1'(2'(2'(x1378))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: x1378 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1378))))))))))))))))))))))))))))))))))))))))))) 2'(z) -{ 2 }-> 2'(0'(2'(2'(0'(0'(2'(2'(1'(1'(1'(2'(0'(1'(0'(1'(2'(2'(2'(2'(2'(0'(0'(0'(2'(2'(2'(0'(2'(2'(1'(1'(1'(2'(2'(0'(1'(2'(0'(2'(1'(1'(2'(1'(0'(0'(2'(0'(1'(2'(2'(2'(2'(x1383))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1383))))))))))))))))))))))))))))))))))))))))))), x1383 >= 0 2'(z) -{ 2 }-> 2'(0'(2'(2'(0'(0'(2'(2'(1'(1'(1'(2'(0'(1'(0'(1'(2'(2'(2'(2'(2'(0'(0'(0'(2'(2'(1'(2'(2'(0'(2'(1'(2'(2'(0'(1'(0'(2'(1'(0'(1'(2'(1'(2'(2'(2'(2'(0'(2'(2'(0'(2'(0'(x1374))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1374))))))))))))))))))))))))))))))))))))))))))), x1374 >= 0 2'(z) -{ 2 }-> 2'(0'(2'(2'(0'(0'(2'(2'(1'(1'(1'(2'(0'(1'(0'(1'(2'(2'(2'(2'(2'(0'(0'(0'(2'(2'(1'(2'(1'(2'(1'(2'(2'(2'(2'(2'(2'(0'(0'(2'(0'(0'(2'(2'(0'(1'(1'(1'(1'(0'(0'(2'(1'(x1382))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: x1382 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1382))))))))))))))))))))))))))))))))))))))))))) 2'(z) -{ 2 }-> 2'(0'(2'(2'(0'(0'(2'(2'(1'(1'(1'(2'(0'(1'(0'(1'(2'(2'(2'(2'(2'(0'(0'(0'(2'(2'(1'(2'(1'(2'(1'(1'(1'(1'(2'(1'(1'(1'(2'(2'(0'(1'(0'(2'(2'(1'(2'(2'(2'(1'(0'(1'(2'(x1379))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1379))))))))))))))))))))))))))))))))))))))))))), x1379 >= 0 2'(z) -{ 2 }-> 2'(0'(2'(2'(0'(0'(2'(2'(1'(1'(1'(2'(0'(1'(0'(1'(2'(2'(2'(2'(2'(0'(0'(0'(2'(2'(1'(2'(1'(2'(0'(0'(1'(1'(1'(2'(2'(2'(2'(1'(2'(2'(2'(0'(2'(0'(1'(2'(2'(2'(2'(0'(0'(x1381))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1381))))))))))))))))))))))))))))))))))))))))))), x1381 >= 0 2'(z) -{ 2 }-> 2'(0'(2'(2'(0'(0'(2'(2'(1'(1'(1'(2'(0'(1'(0'(1'(2'(2'(2'(2'(2'(0'(0'(0'(2'(2'(1'(2'(0'(0'(1'(1'(2'(2'(1'(2'(0'(2'(2'(0'(1'(1'(2'(2'(2'(1'(2'(2'(2'(2'(2'(1'(2'(x1380))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: x1380 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1380))))))))))))))))))))))))))))))))))))))))))) 2'(z) -{ 1 }-> 2'(0'(2'(2'(0'(0'(2'(2'(1'(1'(1'(2'(0'(1'(0'(1'(2'(2'(2'(2'(2'(0'(0'(0'(2'(2'(0)))))))))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1))))))))))))))))))))) 2'(z) -{ 1 }-> 2'(0'(2'(2'(0'(0'(2'(2'(1'(1'(1'(2'(0'(1'(0'(1'(2'(2'(2'(2'(2'(0'(0'(0'(2'(2'(1 + x1)))))))))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1))))))))))))))))))))) 2'(z) -{ 1 }-> 2'(0'(0'(2'(1'(0'(0'(0'(0'(0'(1'(2'(1'(1'(2'(1'(1'(2'(1'(2'(2'(0'(1'(1'(1'(2'(2'(x1))))))))))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1))))))))))))))))))))) 2'(z) -{ 1 }-> 2'(0'(0'(1'(1'(2'(0'(2'(2'(1'(1'(2'(2'(0'(1'(2'(2'(2'(0'(0'(2'(0'(2'(2'(2'(0'(2'(x1))))))))))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1))))))))))))))))))))) 2'(z) -{ 2 }-> 1'(2'(2'(2'(2'(0'(1'(2'(1'(2'(0'(1'(2'(1'(2'(1'(0'(1'(0'(1'(0'(1'(1'(2'(2'(1'(2'(2'(2'(2'(2'(1'(0'(1'(2'(2'(0'(1'(1'(1'(2'(2'(1'(1'(0'(0'(0'(0'(2'(2'(1'(2'(2'(x1350))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1350))))))))))))))))))))))))))))))))))))))))))), x1350 >= 0 2'(z) -{ 2 }-> 1'(2'(2'(2'(2'(0'(1'(2'(1'(2'(0'(1'(2'(1'(2'(1'(0'(1'(0'(1'(0'(1'(1'(2'(2'(1'(2'(1'(2'(1'(2'(1'(2'(2'(0'(2'(0'(1'(2'(1'(2'(1'(2'(0'(1'(2'(0'(0'(2'(2'(1'(1'(2'(x1351))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: x1351 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1351))))))))))))))))))))))))))))))))))))))))))) 2'(z) -{ 2 }-> 1'(2'(2'(2'(2'(0'(1'(2'(1'(2'(0'(1'(2'(1'(2'(1'(0'(1'(0'(1'(0'(1'(1'(2'(2'(1'(2'(0'(1'(1'(1'(2'(2'(1'(1'(2'(2'(2'(2'(1'(0'(1'(2'(1'(1'(2'(2'(2'(1'(2'(1'(2'(2'(x1354))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: x1354 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1354))))))))))))))))))))))))))))))))))))))))))) 2'(z) -{ 2 }-> 1'(2'(2'(2'(2'(0'(1'(2'(1'(2'(0'(1'(2'(1'(2'(1'(0'(1'(0'(1'(0'(1'(1'(2'(2'(1'(0'(2'(2'(2'(0'(1'(1'(2'(1'(2'(2'(1'(2'(1'(0'(2'(2'(2'(1'(2'(1'(1'(0'(0'(1'(0'(2'(x1349))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: x1349 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1349))))))))))))))))))))))))))))))))))))))))))) 2'(z) -{ 2 }-> 1'(2'(2'(2'(2'(0'(1'(2'(1'(2'(0'(1'(2'(1'(2'(1'(0'(1'(0'(1'(0'(1'(1'(2'(2'(1'(0'(2'(1'(1'(1'(1'(2'(2'(1'(1'(0'(1'(1'(2'(1'(2'(1'(0'(0'(1'(2'(2'(1'(0'(0'(2'(2'(x1346))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1346))))))))))))))))))))))))))))))))))))))))))), x1346 >= 0 2'(z) -{ 2 }-> 1'(2'(2'(2'(2'(0'(1'(2'(1'(2'(0'(1'(2'(1'(2'(1'(0'(1'(0'(1'(0'(1'(1'(2'(2'(1'(0'(2'(0'(1'(0'(2'(0'(2'(2'(2'(1'(2'(1'(1'(2'(2'(2'(2'(2'(2'(2'(1'(0'(0'(0'(2'(2'(x1347))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: x1347 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1347))))))))))))))))))))))))))))))))))))))))))) 2'(z) -{ 2 }-> 1'(2'(2'(2'(2'(0'(1'(2'(1'(2'(0'(1'(2'(1'(2'(1'(0'(1'(0'(1'(0'(1'(1'(2'(2'(1'(0'(1'(2'(0'(0'(2'(1'(2'(2'(1'(1'(2'(1'(1'(1'(1'(2'(2'(2'(1'(2'(1'(0'(2'(1'(1'(0'(x1353))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: x1353 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1353))))))))))))))))))))))))))))))))))))))))))) 2'(z) -{ 2 }-> 1'(2'(2'(2'(2'(0'(1'(2'(1'(2'(0'(1'(2'(1'(2'(1'(0'(1'(0'(1'(0'(1'(1'(2'(2'(1'(0'(1'(1'(1'(0'(2'(1'(2'(1'(2'(0'(1'(1'(2'(1'(1'(2'(2'(2'(2'(2'(0'(2'(2'(2'(1'(2'(x1352))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1352))))))))))))))))))))))))))))))))))))))))))), x1352 >= 0 2'(z) -{ 2 }-> 1'(2'(2'(2'(2'(0'(1'(2'(1'(2'(0'(1'(2'(1'(2'(1'(0'(1'(0'(1'(0'(1'(1'(2'(2'(1'(0'(0'(1'(2'(2'(1'(1'(2'(2'(1'(1'(2'(2'(2'(2'(0'(1'(2'(1'(2'(1'(1'(1'(0'(1'(2'(2'(x1345))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: x1345 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1345))))))))))))))))))))))))))))))))))))))))))) 2'(z) -{ 2 }-> 1'(2'(2'(2'(2'(0'(1'(2'(1'(2'(0'(1'(2'(1'(2'(1'(0'(1'(0'(1'(0'(1'(1'(2'(2'(1'(0'(0'(0'(1'(2'(2'(2'(2'(2'(2'(2'(0'(0'(0'(0'(1'(2'(1'(2'(2'(2'(1'(0'(2'(0'(2'(0'(x1348))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1348))))))))))))))))))))))))))))))))))))))))))), x1348 >= 0 2'(z) -{ 1 }-> 1'(2'(2'(2'(2'(0'(1'(2'(1'(2'(0'(1'(2'(1'(2'(1'(0'(1'(0'(1'(0'(1'(1'(2'(2'(1'(0)))))))))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1))))))))))))))))))))) 2'(z) -{ 1 }-> 1'(2'(2'(2'(2'(0'(1'(2'(1'(2'(0'(1'(2'(1'(2'(1'(0'(1'(0'(1'(0'(1'(1'(2'(2'(1'(1 + x1)))))))))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1))))))))))))))))))))) 2'(z) -{ 1 }-> 1'(2'(1'(2'(2'(1'(1'(1'(1'(2'(2'(2'(1'(2'(0'(0'(0'(1'(2'(0'(0'(1'(2'(2'(2'(2'(2'(x1))))))))))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1))))))))))))))))))))) 2'(z) -{ 1 }-> 1'(2'(1'(2'(1'(2'(0'(1'(2'(2'(0'(1'(1'(1'(2'(2'(1'(1'(1'(2'(2'(0'(1'(0'(1'(2'(2'(x1))))))))))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1))))))))))))))))))))) 2'(z) -{ 1 }-> 1'(2'(1'(1'(1'(2'(2'(2'(1'(2'(1'(0'(2'(1'(1'(1'(1'(2'(2'(0'(0'(1'(1'(0'(2'(1'(2'(x1))))))))))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1))))))))))))))))))))) 2'(z) -{ 0 }-> 0 :|: v0 >= 0, z = v0 2'(z) -{ 0 }-> 1 + x0 :|: z = x0, x0 >= 0 encArg(z) -{ 0 }-> 2'(2'(encArg(x_17))) :|: x_17 >= 0, z = 1 + (1 + x_17) encArg(z) -{ 0 }-> 2'(1'(encArg(x_16))) :|: x_16 >= 0, z = 1 + (1 + x_16) encArg(z) -{ 0 }-> 2'(0'(encArg(x_15))) :|: x_15 >= 0, z = 1 + (1 + x_15) encArg(z) -{ 0 }-> 2'(0) :|: z = 1 + x_1, x_1 >= 0 encArg(z) -{ 0 }-> 1'(2'(encArg(x_14))) :|: x_14 >= 0, z = 1 + (1 + x_14) encArg(z) -{ 0 }-> 1'(1'(encArg(x_13))) :|: z = 1 + (1 + x_13), x_13 >= 0 encArg(z) -{ 0 }-> 1'(0'(encArg(x_12))) :|: z = 1 + (1 + x_12), x_12 >= 0 encArg(z) -{ 0 }-> 1'(0) :|: z = 1 + x_1, x_1 >= 0 encArg(z) -{ 0 }-> 0'(2'(encArg(x_11))) :|: x_11 >= 0, z = 1 + (1 + x_11) encArg(z) -{ 0 }-> 0'(1'(encArg(x_1''))) :|: z = 1 + (1 + x_1''), x_1'' >= 0 encArg(z) -{ 0 }-> 0'(0'(encArg(x_1'))) :|: z = 1 + (1 + x_1'), x_1' >= 0 encArg(z) -{ 0 }-> 0'(0) :|: z = 1 + x_1, x_1 >= 0 encArg(z) -{ 0 }-> 0 :|: v0 >= 0, z = v0 encode_0(z) -{ 0 }-> 0'(2'(encArg(x_110))) :|: z = 1 + x_110, x_110 >= 0 encode_0(z) -{ 0 }-> 0'(1'(encArg(x_19))) :|: z = 1 + x_19, x_19 >= 0 encode_0(z) -{ 0 }-> 0'(0'(encArg(x_18))) :|: z = 1 + x_18, x_18 >= 0 encode_0(z) -{ 0 }-> 0'(0) :|: x_1 >= 0, z = x_1 encode_0(z) -{ 0 }-> 0 :|: v0 >= 0, z = v0 encode_1(z) -{ 0 }-> 1'(2'(encArg(x_113))) :|: z = 1 + x_113, x_113 >= 0 encode_1(z) -{ 0 }-> 1'(1'(encArg(x_112))) :|: z = 1 + x_112, x_112 >= 0 encode_1(z) -{ 0 }-> 1'(0'(encArg(x_111))) :|: z = 1 + x_111, x_111 >= 0 encode_1(z) -{ 0 }-> 1'(0) :|: x_1 >= 0, z = x_1 encode_1(z) -{ 0 }-> 0 :|: v0 >= 0, z = v0 encode_2(z) -{ 0 }-> 2'(2'(encArg(x_116))) :|: x_116 >= 0, z = 1 + x_116 encode_2(z) -{ 0 }-> 2'(1'(encArg(x_115))) :|: x_115 >= 0, z = 1 + x_115 encode_2(z) -{ 0 }-> 2'(0'(encArg(x_114))) :|: x_114 >= 0, z = 1 + x_114 encode_2(z) -{ 0 }-> 2'(0) :|: x_1 >= 0, z = x_1 encode_2(z) -{ 0 }-> 0 :|: v0 >= 0, z = v0 ---------------------------------------- (33) SimplificationProof (BOTH BOUNDS(ID, ID)) Simplified the RNTS by moving equalities from the constraints into the right-hand sides. ---------------------------------------- (34) Obligation: Complexity RNTS consisting of the following rules: 0'(z) -{ 1 }-> 2'(2'(2'(2'(2'(1'(0'(1'(2'(2'(0'(1'(1'(1'(2'(2'(1'(1'(0'(0'(0'(0'(2'(2'(1'(2'(2'(z - 22))))))))))))))))))))))))))) :|: z - 22 >= 0 0'(z) -{ 1 }-> 2'(1'(2'(1'(2'(1'(2'(2'(0'(2'(0'(1'(2'(1'(2'(1'(2'(0'(1'(2'(0'(0'(2'(2'(1'(1'(2'(z - 22))))))))))))))))))))))))))) :|: z - 22 >= 0 0'(z) -{ 1 }-> 2'(0'(1'(1'(1'(2'(2'(1'(1'(2'(2'(2'(2'(1'(0'(1'(2'(1'(1'(2'(2'(2'(1'(2'(1'(2'(2'(z - 22))))))))))))))))))))))))))) :|: z - 22 >= 0 0'(z) -{ 1 }-> 0'(2'(2'(2'(0'(1'(1'(2'(1'(2'(2'(1'(2'(1'(0'(2'(2'(2'(1'(2'(1'(1'(0'(0'(1'(0'(2'(z - 22))))))))))))))))))))))))))) :|: z - 22 >= 0 0'(z) -{ 1 }-> 0'(2'(1'(1'(1'(1'(2'(2'(1'(1'(0'(1'(1'(2'(1'(2'(1'(0'(0'(1'(2'(2'(1'(0'(0'(2'(2'(z - 22))))))))))))))))))))))))))) :|: z - 22 >= 0 0'(z) -{ 1 }-> 0'(2'(0'(1'(0'(2'(0'(2'(2'(2'(1'(2'(1'(1'(2'(2'(2'(2'(2'(2'(2'(1'(0'(0'(0'(2'(2'(z - 22))))))))))))))))))))))))))) :|: z - 22 >= 0 0'(z) -{ 2 }-> 0'(1'(2'(0'(0'(2'(1'(2'(2'(1'(1'(2'(1'(1'(1'(1'(2'(2'(2'(1'(2'(1'(0'(2'(1'(1'(2'(2'(2'(2'(2'(1'(0'(1'(2'(2'(0'(1'(1'(1'(2'(2'(1'(1'(0'(0'(0'(0'(2'(2'(1'(2'(2'(z - 44))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: z - 44 >= 0 0'(z) -{ 2 }-> 0'(1'(2'(0'(0'(2'(1'(2'(2'(1'(1'(2'(1'(1'(1'(1'(2'(2'(2'(1'(2'(1'(0'(2'(1'(1'(2'(1'(2'(1'(2'(1'(2'(2'(0'(2'(0'(1'(2'(1'(2'(1'(2'(0'(1'(2'(0'(0'(2'(2'(1'(1'(2'(z - 44))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: z - 44 >= 0 0'(z) -{ 2 }-> 0'(1'(2'(0'(0'(2'(1'(2'(2'(1'(1'(2'(1'(1'(1'(1'(2'(2'(2'(1'(2'(1'(0'(2'(1'(1'(2'(0'(1'(1'(1'(2'(2'(1'(1'(2'(2'(2'(2'(1'(0'(1'(2'(1'(1'(2'(2'(2'(1'(2'(1'(2'(2'(z - 44))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: z - 44 >= 0 0'(z) -{ 2 }-> 0'(1'(2'(0'(0'(2'(1'(2'(2'(1'(1'(2'(1'(1'(1'(1'(2'(2'(2'(1'(2'(1'(0'(2'(1'(1'(0'(2'(2'(2'(0'(1'(1'(2'(1'(2'(2'(1'(2'(1'(0'(2'(2'(2'(1'(2'(1'(1'(0'(0'(1'(0'(2'(z - 44))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: z - 44 >= 0 0'(z) -{ 2 }-> 0'(1'(2'(0'(0'(2'(1'(2'(2'(1'(1'(2'(1'(1'(1'(1'(2'(2'(2'(1'(2'(1'(0'(2'(1'(1'(0'(2'(1'(1'(1'(1'(2'(2'(1'(1'(0'(1'(1'(2'(1'(2'(1'(0'(0'(1'(2'(2'(1'(0'(0'(2'(2'(z - 44))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: z - 44 >= 0 0'(z) -{ 2 }-> 0'(1'(2'(0'(0'(2'(1'(2'(2'(1'(1'(2'(1'(1'(1'(1'(2'(2'(2'(1'(2'(1'(0'(2'(1'(1'(0'(2'(0'(1'(0'(2'(0'(2'(2'(2'(1'(2'(1'(1'(2'(2'(2'(2'(2'(2'(2'(1'(0'(0'(0'(2'(2'(z - 44))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: z - 44 >= 0 0'(z) -{ 2 }-> 0'(1'(2'(0'(0'(2'(1'(2'(2'(1'(1'(2'(1'(1'(1'(1'(2'(2'(2'(1'(2'(1'(0'(2'(1'(1'(0'(1'(2'(0'(0'(2'(1'(2'(2'(1'(1'(2'(1'(1'(1'(1'(2'(2'(2'(1'(2'(1'(0'(2'(1'(1'(0'(z - 44))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: z - 44 >= 0 0'(z) -{ 2 }-> 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0'(0'(0'(1'(2'(2'(2'(2'(2'(2'(2'(0'(0'(0'(0'(1'(2'(1'(2'(2'(2'(1'(0'(2'(0'(2'(0)))))))))))))))))))))))))) :|: z - 22 >= 0 0'(z) -{ 1 }-> 0'(0'(0'(1'(2'(2'(2'(2'(2'(2'(2'(0'(0'(0'(0'(1'(2'(1'(2'(2'(2'(1'(0'(2'(0'(2'(1 + (z - 22))))))))))))))))))))))))))) :|: z - 22 >= 0 0'(z) -{ 0 }-> 0 :|: z >= 0 0'(z) -{ 0 }-> 1 + z :|: z >= 0 1'(z) -{ 1 }-> 2'(2'(2'(1'(1'(2'(2'(2'(1'(2'(2'(0'(0'(2'(0'(0'(1'(2'(0'(2'(2'(1'(2'(2'(2'(0'(2'(z - 22))))))))))))))))))))))))))) :|: z - 22 >= 0 1'(z) -{ 1 }-> 2'(2'(1'(2'(1'(2'(2'(1'(0'(1'(2'(2'(2'(1'(0'(2'(1'(1'(2'(1'(0'(1'(1'(1'(2'(2'(2'(z - 22))))))))))))))))))))))))))) :|: z - 22 >= 0 1'(z) -{ 1 }-> 2'(1'(2'(1'(2'(2'(2'(2'(2'(0'(0'(0'(0'(2'(1'(2'(2'(2'(2'(1'(2'(2'(2'(0'(0'(2'(2'(z - 22))))))))))))))))))))))))))) :|: z - 22 >= 0 1'(z) -{ 1 }-> 2'(1'(2'(1'(2'(2'(2'(1'(2'(2'(0'(2'(2'(1'(0'(2'(1'(2'(2'(0'(1'(0'(1'(1'(2'(2'(2'(z - 22))))))))))))))))))))))))))) :|: z - 22 >= 0 1'(z) -{ 1 }-> 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1'(2'(2'(0'(2'(1'(2'(2'(0'(1'(0'(2'(1'(0'(1'(2'(1'(2'(2'(2'(2'(0'(2'(2'(0'(2'(1 + (z - 22))))))))))))))))))))))))))) :|: z - 22 >= 0 1'(z) -{ 2 }-> 1'(2'(1'(2'(1'(2'(2'(2'(2'(2'(2'(0'(0'(2'(0'(0'(2'(2'(0'(1'(1'(1'(1'(0'(0'(2'(2'(2'(2'(1'(1'(2'(2'(2'(1'(2'(2'(0'(0'(2'(0'(0'(1'(2'(0'(2'(2'(1'(2'(2'(2'(0'(2'(z - 44))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: z - 44 >= 0 1'(z) -{ 2 }-> 1'(2'(1'(2'(1'(2'(2'(2'(2'(2'(2'(0'(0'(2'(0'(0'(2'(2'(0'(1'(1'(1'(1'(0'(0'(2'(2'(2'(1'(2'(1'(2'(2'(1'(0'(1'(2'(2'(2'(1'(0'(2'(1'(1'(2'(1'(0'(1'(1'(1'(2'(2'(2'(z - 44))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: z - 44 >= 0 1'(z) -{ 2 }-> 1'(2'(1'(2'(1'(2'(2'(2'(2'(2'(2'(0'(0'(2'(0'(0'(2'(2'(0'(1'(1'(1'(1'(0'(0'(2'(2'(1'(2'(1'(2'(2'(2'(2'(2'(0'(0'(0'(0'(2'(1'(2'(2'(2'(2'(1'(2'(2'(2'(0'(0'(2'(2'(z - 44))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: z - 44 >= 0 1'(z) -{ 2 }-> 1'(2'(1'(2'(1'(2'(2'(2'(2'(2'(2'(0'(0'(2'(0'(0'(2'(2'(0'(1'(1'(1'(1'(0'(0'(2'(2'(1'(2'(1'(2'(2'(2'(1'(2'(2'(0'(2'(2'(1'(0'(2'(1'(2'(2'(0'(1'(0'(1'(1'(2'(2'(2'(z - 44))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: z - 44 >= 0 1'(z) -{ 2 }-> 1'(2'(1'(2'(1'(2'(2'(2'(2'(2'(2'(0'(0'(2'(0'(0'(2'(2'(0'(1'(1'(1'(1'(0'(0'(2'(2'(1'(2'(0'(2'(0'(2'(0'(2'(2'(2'(2'(1'(2'(1'(2'(2'(2'(1'(1'(2'(1'(0'(1'(1'(2'(2'(z - 44))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: z - 44 >= 0 1'(z) -{ 2 }-> 1'(2'(1'(2'(1'(2'(2'(2'(2'(2'(2'(0'(0'(2'(0'(0'(2'(2'(0'(1'(1'(1'(1'(0'(0'(2'(2'(0'(2'(2'(1'(1'(1'(2'(2'(0'(1'(2'(0'(2'(1'(1'(2'(1'(0'(0'(2'(0'(1'(2'(2'(2'(2'(z - 44))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: z - 44 >= 0 1'(z) -{ 2 }-> 1'(2'(1'(2'(1'(2'(2'(2'(2'(2'(2'(0'(0'(2'(0'(0'(2'(2'(0'(1'(1'(1'(1'(0'(0'(2'(1'(2'(2'(0'(2'(1'(2'(2'(0'(1'(0'(2'(1'(0'(1'(2'(1'(2'(2'(2'(2'(0'(2'(2'(0'(2'(0'(z - 44))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: z - 44 >= 0 1'(z) -{ 2 }-> 1'(2'(1'(2'(1'(2'(2'(2'(2'(2'(2'(0'(0'(2'(0'(0'(2'(2'(0'(1'(1'(1'(1'(0'(0'(2'(1'(2'(1'(2'(1'(2'(2'(2'(2'(2'(2'(0'(0'(2'(0'(0'(2'(2'(0'(1'(1'(1'(1'(0'(0'(2'(1'(z - 44))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: z - 44 >= 0 1'(z) -{ 2 }-> 1'(2'(1'(2'(1'(2'(2'(2'(2'(2'(2'(0'(0'(2'(0'(0'(2'(2'(0'(1'(1'(1'(1'(0'(0'(2'(1'(2'(1'(2'(1'(1'(1'(1'(2'(1'(1'(1'(2'(2'(0'(1'(0'(2'(2'(1'(2'(2'(2'(1'(0'(1'(2'(z - 44))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: z - 44 >= 0 1'(z) -{ 2 }-> 1'(2'(1'(2'(1'(2'(2'(2'(2'(2'(2'(0'(0'(2'(0'(0'(2'(2'(0'(1'(1'(1'(1'(0'(0'(2'(1'(2'(1'(2'(0'(0'(1'(1'(1'(2'(2'(2'(2'(1'(2'(2'(2'(0'(2'(0'(1'(2'(2'(2'(2'(0'(0'(z - 44))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: z - 44 >= 0 1'(z) -{ 2 }-> 1'(2'(1'(2'(1'(2'(2'(2'(2'(2'(2'(0'(0'(2'(0'(0'(2'(2'(0'(1'(1'(1'(1'(0'(0'(2'(1'(2'(0'(0'(1'(1'(2'(2'(1'(2'(0'(2'(2'(0'(1'(1'(2'(2'(2'(1'(2'(2'(2'(2'(2'(1'(2'(z - 44))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: z - 44 >= 0 1'(z) -{ 1 }-> 1'(2'(1'(2'(1'(2'(2'(2'(2'(2'(2'(0'(0'(2'(0'(0'(2'(2'(0'(1'(1'(1'(1'(0'(0'(2'(0)))))))))))))))))))))))))) :|: z - 22 >= 0 1'(z) -{ 1 }-> 1'(2'(1'(2'(1'(2'(2'(2'(2'(2'(2'(0'(0'(2'(0'(0'(2'(2'(0'(1'(1'(1'(1'(0'(0'(2'(1 + (z - 22))))))))))))))))))))))))))) :|: z - 22 >= 0 1'(z) -{ 1 }-> 1'(2'(1'(2'(1'(1'(1'(1'(2'(1'(1'(1'(2'(2'(0'(1'(0'(2'(2'(1'(2'(2'(2'(1'(0'(1'(2'(z - 22))))))))))))))))))))))))))) :|: z - 22 >= 0 1'(z) -{ 2 }-> 1'(2'(1'(2'(0'(0'(1'(1'(1'(2'(2'(2'(2'(1'(2'(2'(2'(0'(2'(0'(1'(2'(2'(2'(2'(0'(2'(2'(2'(2'(2'(1'(0'(1'(2'(2'(0'(1'(1'(1'(2'(2'(1'(1'(0'(0'(0'(0'(2'(2'(1'(2'(2'(z - 44))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: z - 44 >= 0 1'(z) -{ 2 }-> 1'(2'(1'(2'(0'(0'(1'(1'(1'(2'(2'(2'(2'(1'(2'(2'(2'(0'(2'(0'(1'(2'(2'(2'(2'(0'(2'(1'(2'(1'(2'(1'(2'(2'(0'(2'(0'(1'(2'(1'(2'(1'(2'(0'(1'(2'(0'(0'(2'(2'(1'(1'(2'(z - 44))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: z - 44 >= 0 1'(z) -{ 2 }-> 1'(2'(1'(2'(0'(0'(1'(1'(1'(2'(2'(2'(2'(1'(2'(2'(2'(0'(2'(0'(1'(2'(2'(2'(2'(0'(2'(0'(1'(1'(1'(2'(2'(1'(1'(2'(2'(2'(2'(1'(0'(1'(2'(1'(1'(2'(2'(2'(1'(2'(1'(2'(2'(z - 44))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: z - 44 >= 0 1'(z) -{ 2 }-> 1'(2'(1'(2'(0'(0'(1'(1'(1'(2'(2'(2'(2'(1'(2'(2'(2'(0'(2'(0'(1'(2'(2'(2'(2'(0'(0'(2'(2'(2'(0'(1'(1'(2'(1'(2'(2'(1'(2'(1'(0'(2'(2'(2'(1'(2'(1'(1'(0'(0'(1'(0'(2'(z - 44))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: z - 44 >= 0 1'(z) -{ 2 }-> 1'(2'(1'(2'(0'(0'(1'(1'(1'(2'(2'(2'(2'(1'(2'(2'(2'(0'(2'(0'(1'(2'(2'(2'(2'(0'(0'(2'(1'(1'(1'(1'(2'(2'(1'(1'(0'(1'(1'(2'(1'(2'(1'(0'(0'(1'(2'(2'(1'(0'(0'(2'(2'(z - 44))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: z - 44 >= 0 1'(z) -{ 2 }-> 1'(2'(1'(2'(0'(0'(1'(1'(1'(2'(2'(2'(2'(1'(2'(2'(2'(0'(2'(0'(1'(2'(2'(2'(2'(0'(0'(2'(0'(1'(0'(2'(0'(2'(2'(2'(1'(2'(1'(1'(2'(2'(2'(2'(2'(2'(2'(1'(0'(0'(0'(2'(2'(z - 44))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: z - 44 >= 0 1'(z) -{ 2 }-> 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1'(2'(1'(2'(0'(0'(1'(1'(1'(2'(2'(2'(2'(1'(2'(2'(2'(0'(2'(0'(1'(2'(2'(2'(2'(0'(0)))))))))))))))))))))))))) :|: z - 22 >= 0 1'(z) -{ 1 }-> 1'(2'(1'(2'(0'(0'(1'(1'(1'(2'(2'(2'(2'(1'(2'(2'(2'(0'(2'(0'(1'(2'(2'(2'(2'(0'(1 + (z - 22))))))))))))))))))))))))))) :|: z - 22 >= 0 1'(z) -{ 1 }-> 1'(2'(0'(0'(1'(1'(2'(2'(1'(2'(0'(2'(2'(0'(1'(1'(2'(2'(2'(1'(2'(2'(2'(2'(2'(1'(2'(z - 22))))))))))))))))))))))))))) :|: z - 22 >= 0 1'(z) -{ 0 }-> 0 :|: z >= 0 1'(z) -{ 0 }-> 1 + z :|: z >= 0 2'(z) -{ 1 }-> 2'(2'(2'(2'(1'(2'(1'(2'(0'(2'(2'(2'(2'(2'(0'(1'(2'(0'(2'(1'(0'(0'(0'(2'(0'(2'(2'(z - 22))))))))))))))))))))))))))) :|: z - 22 >= 0 2'(z) -{ 2 }-> 2'(2'(2'(2'(0'(2'(0'(2'(2'(1'(2'(1'(0'(1'(1'(2'(2'(0'(0'(2'(1'(2'(1'(2'(1'(2'(2'(2'(2'(2'(2'(1'(0'(1'(2'(2'(0'(1'(1'(1'(2'(2'(1'(1'(0'(0'(0'(0'(2'(2'(1'(2'(2'(z - 44))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: z - 44 >= 0 2'(z) -{ 2 }-> 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44))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: z - 44 >= 0 2'(z) -{ 2 }-> 2'(0'(2'(2'(0'(0'(2'(2'(1'(1'(1'(2'(0'(1'(0'(1'(2'(2'(2'(2'(2'(0'(0'(0'(2'(2'(1'(2'(1'(2'(0'(0'(1'(1'(1'(2'(2'(2'(2'(1'(2'(2'(2'(0'(2'(0'(1'(2'(2'(2'(2'(0'(0'(z - 44))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: z - 44 >= 0 2'(z) -{ 2 }-> 2'(0'(2'(2'(0'(0'(2'(2'(1'(1'(1'(2'(0'(1'(0'(1'(2'(2'(2'(2'(2'(0'(0'(0'(2'(2'(1'(2'(0'(0'(1'(1'(2'(2'(1'(2'(0'(2'(2'(0'(1'(1'(2'(2'(2'(1'(2'(2'(2'(2'(2'(1'(2'(z - 44))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: z - 44 >= 0 2'(z) -{ 1 }-> 2'(0'(2'(2'(0'(0'(2'(2'(1'(1'(1'(2'(0'(1'(0'(1'(2'(2'(2'(2'(2'(0'(0'(0'(2'(2'(0)))))))))))))))))))))))))) :|: z - 22 >= 0 2'(z) -{ 1 }-> 2'(0'(2'(2'(0'(0'(2'(2'(1'(1'(1'(2'(0'(1'(0'(1'(2'(2'(2'(2'(2'(0'(0'(0'(2'(2'(1 + (z - 22))))))))))))))))))))))))))) :|: z - 22 >= 0 2'(z) -{ 1 }-> 2'(0'(0'(2'(1'(0'(0'(0'(0'(0'(1'(2'(1'(1'(2'(1'(1'(2'(1'(2'(2'(0'(1'(1'(1'(2'(2'(z - 22))))))))))))))))))))))))))) :|: z - 22 >= 0 2'(z) -{ 1 }-> 2'(0'(0'(1'(1'(2'(0'(2'(2'(1'(1'(2'(2'(0'(1'(2'(2'(2'(0'(0'(2'(0'(2'(2'(2'(0'(2'(z - 22))))))))))))))))))))))))))) :|: z - 22 >= 0 2'(z) -{ 2 }-> 1'(2'(2'(2'(2'(0'(1'(2'(1'(2'(0'(1'(2'(1'(2'(1'(0'(1'(0'(1'(0'(1'(1'(2'(2'(1'(2'(2'(2'(2'(2'(1'(0'(1'(2'(2'(0'(1'(1'(1'(2'(2'(1'(1'(0'(0'(0'(0'(2'(2'(1'(2'(2'(z - 44))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: z - 44 >= 0 2'(z) -{ 2 }-> 1'(2'(2'(2'(2'(0'(1'(2'(1'(2'(0'(1'(2'(1'(2'(1'(0'(1'(0'(1'(0'(1'(1'(2'(2'(1'(2'(1'(2'(1'(2'(1'(2'(2'(0'(2'(0'(1'(2'(1'(2'(1'(2'(0'(1'(2'(0'(0'(2'(2'(1'(1'(2'(z - 44))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: z - 44 >= 0 2'(z) -{ 2 }-> 1'(2'(2'(2'(2'(0'(1'(2'(1'(2'(0'(1'(2'(1'(2'(1'(0'(1'(0'(1'(0'(1'(1'(2'(2'(1'(2'(0'(1'(1'(1'(2'(2'(1'(1'(2'(2'(2'(2'(1'(0'(1'(2'(1'(1'(2'(2'(2'(1'(2'(1'(2'(2'(z - 44))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: z - 44 >= 0 2'(z) -{ 2 }-> 1'(2'(2'(2'(2'(0'(1'(2'(1'(2'(0'(1'(2'(1'(2'(1'(0'(1'(0'(1'(0'(1'(1'(2'(2'(1'(0'(2'(2'(2'(0'(1'(1'(2'(1'(2'(2'(1'(2'(1'(0'(2'(2'(2'(1'(2'(1'(1'(0'(0'(1'(0'(2'(z - 44))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: z - 44 >= 0 2'(z) -{ 2 }-> 1'(2'(2'(2'(2'(0'(1'(2'(1'(2'(0'(1'(2'(1'(2'(1'(0'(1'(0'(1'(0'(1'(1'(2'(2'(1'(0'(2'(1'(1'(1'(1'(2'(2'(1'(1'(0'(1'(1'(2'(1'(2'(1'(0'(0'(1'(2'(2'(1'(0'(0'(2'(2'(z - 44))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: z - 44 >= 0 2'(z) -{ 2 }-> 1'(2'(2'(2'(2'(0'(1'(2'(1'(2'(0'(1'(2'(1'(2'(1'(0'(1'(0'(1'(0'(1'(1'(2'(2'(1'(0'(2'(0'(1'(0'(2'(0'(2'(2'(2'(1'(2'(1'(1'(2'(2'(2'(2'(2'(2'(2'(1'(0'(0'(0'(2'(2'(z - 44))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: z - 44 >= 0 2'(z) -{ 2 }-> 1'(2'(2'(2'(2'(0'(1'(2'(1'(2'(0'(1'(2'(1'(2'(1'(0'(1'(0'(1'(0'(1'(1'(2'(2'(1'(0'(1'(2'(0'(0'(2'(1'(2'(2'(1'(1'(2'(1'(1'(1'(1'(2'(2'(2'(1'(2'(1'(0'(2'(1'(1'(0'(z - 44))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: z - 44 >= 0 2'(z) -{ 2 }-> 1'(2'(2'(2'(2'(0'(1'(2'(1'(2'(0'(1'(2'(1'(2'(1'(0'(1'(0'(1'(0'(1'(1'(2'(2'(1'(0'(1'(1'(1'(0'(2'(1'(2'(1'(2'(0'(1'(1'(2'(1'(1'(2'(2'(2'(2'(2'(0'(2'(2'(2'(1'(2'(z - 44))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: z - 44 >= 0 2'(z) -{ 2 }-> 1'(2'(2'(2'(2'(0'(1'(2'(1'(2'(0'(1'(2'(1'(2'(1'(0'(1'(0'(1'(0'(1'(1'(2'(2'(1'(0'(0'(1'(2'(2'(1'(1'(2'(2'(1'(1'(2'(2'(2'(2'(0'(1'(2'(1'(2'(1'(1'(1'(0'(1'(2'(2'(z - 44))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: z - 44 >= 0 2'(z) -{ 2 }-> 1'(2'(2'(2'(2'(0'(1'(2'(1'(2'(0'(1'(2'(1'(2'(1'(0'(1'(0'(1'(0'(1'(1'(2'(2'(1'(0'(0'(0'(1'(2'(2'(2'(2'(2'(2'(2'(0'(0'(0'(0'(1'(2'(1'(2'(2'(2'(1'(0'(2'(0'(2'(0'(z - 44))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: z - 44 >= 0 2'(z) -{ 1 }-> 1'(2'(2'(2'(2'(0'(1'(2'(1'(2'(0'(1'(2'(1'(2'(1'(0'(1'(0'(1'(0'(1'(1'(2'(2'(1'(0)))))))))))))))))))))))))) :|: z - 22 >= 0 2'(z) -{ 1 }-> 1'(2'(2'(2'(2'(0'(1'(2'(1'(2'(0'(1'(2'(1'(2'(1'(0'(1'(0'(1'(0'(1'(1'(2'(2'(1'(1 + (z - 22))))))))))))))))))))))))))) :|: z - 22 >= 0 2'(z) -{ 1 }-> 1'(2'(1'(2'(2'(1'(1'(1'(1'(2'(2'(2'(1'(2'(0'(0'(0'(1'(2'(0'(0'(1'(2'(2'(2'(2'(2'(z - 22))))))))))))))))))))))))))) :|: z - 22 >= 0 2'(z) -{ 1 }-> 1'(2'(1'(2'(1'(2'(0'(1'(2'(2'(0'(1'(1'(1'(2'(2'(1'(1'(1'(2'(2'(0'(1'(0'(1'(2'(2'(z - 22))))))))))))))))))))))))))) :|: z - 22 >= 0 2'(z) -{ 1 }-> 1'(2'(1'(1'(1'(2'(2'(2'(1'(2'(1'(0'(2'(1'(1'(1'(1'(2'(2'(0'(0'(1'(1'(0'(2'(1'(2'(z - 22))))))))))))))))))))))))))) :|: z - 22 >= 0 2'(z) -{ 0 }-> 0 :|: z >= 0 2'(z) -{ 0 }-> 1 + z :|: z >= 0 encArg(z) -{ 0 }-> 2'(2'(encArg(z - 2))) :|: z - 2 >= 0 encArg(z) -{ 0 }-> 2'(1'(encArg(z - 2))) :|: z - 2 >= 0 encArg(z) -{ 0 }-> 2'(0'(encArg(z - 2))) :|: z - 2 >= 0 encArg(z) -{ 0 }-> 2'(0) :|: z - 1 >= 0 encArg(z) -{ 0 }-> 1'(2'(encArg(z - 2))) :|: z - 2 >= 0 encArg(z) -{ 0 }-> 1'(1'(encArg(z - 2))) :|: z - 2 >= 0 encArg(z) -{ 0 }-> 1'(0'(encArg(z - 2))) :|: z - 2 >= 0 encArg(z) -{ 0 }-> 1'(0) :|: z - 1 >= 0 encArg(z) -{ 0 }-> 0'(2'(encArg(z - 2))) :|: z - 2 >= 0 encArg(z) -{ 0 }-> 0'(1'(encArg(z - 2))) :|: z - 2 >= 0 encArg(z) -{ 0 }-> 0'(0'(encArg(z - 2))) :|: z - 2 >= 0 encArg(z) -{ 0 }-> 0'(0) :|: z - 1 >= 0 encArg(z) -{ 0 }-> 0 :|: z >= 0 encode_0(z) -{ 0 }-> 0'(2'(encArg(z - 1))) :|: z - 1 >= 0 encode_0(z) -{ 0 }-> 0'(1'(encArg(z - 1))) :|: z - 1 >= 0 encode_0(z) -{ 0 }-> 0'(0'(encArg(z - 1))) :|: z - 1 >= 0 encode_0(z) -{ 0 }-> 0'(0) :|: z >= 0 encode_0(z) -{ 0 }-> 0 :|: z >= 0 encode_1(z) -{ 0 }-> 1'(2'(encArg(z - 1))) :|: z - 1 >= 0 encode_1(z) -{ 0 }-> 1'(1'(encArg(z - 1))) :|: z - 1 >= 0 encode_1(z) -{ 0 }-> 1'(0'(encArg(z - 1))) :|: z - 1 >= 0 encode_1(z) -{ 0 }-> 1'(0) :|: z >= 0 encode_1(z) -{ 0 }-> 0 :|: z >= 0 encode_2(z) -{ 0 }-> 2'(2'(encArg(z - 1))) :|: z - 1 >= 0 encode_2(z) -{ 0 }-> 2'(1'(encArg(z - 1))) :|: z - 1 >= 0 encode_2(z) -{ 0 }-> 2'(0'(encArg(z - 1))) :|: z - 1 >= 0 encode_2(z) -{ 0 }-> 2'(0) :|: z >= 0 encode_2(z) -{ 0 }-> 0 :|: z >= 0 ---------------------------------------- (35) 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: encArg(v0) -> null_encArg [0] encode_0(v0) -> null_encode_0 [0] encode_1(v0) -> null_encode_1 [0] encode_2(v0) -> null_encode_2 [0] 0'(v0) -> null_0' [0] 1'(v0) -> null_1' [0] 2'(v0) -> null_2' [0] And the following fresh constants: null_encArg, null_encode_0, null_encode_1, null_encode_2, null_0', null_1', null_2', const ---------------------------------------- (36) 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: 1'(c_2(c_0(c_0(c_2(c_0(c_1(c_2(c_2(c_0(c_2(c_1(c_2(c_1(c_2(c_0(c_1(c_0(c_1(c_2(c_0(c_2(c_1(x1))))))))))))))))))))))) -> 1'(2'(2'(0'(2'(1'(2'(2'(0'(1'(0'(2'(1'(0'(1'(2'(1'(2'(2'(2'(2'(0'(2'(2'(0'(2'(0'(x1))))))))))))))))))))))))))) [1] 1'(c_1(c_0(c_2(c_1(c_2(c_2(c_2(c_2(c_1(c_0(c_1(c_2(c_0(c_1(c_2(c_1(c_1(c_0(c_2(c_1(c_2(c_0(x1))))))))))))))))))))))) -> 2'(2'(1'(2'(1'(2'(2'(1'(0'(1'(2'(2'(2'(1'(0'(2'(1'(1'(2'(1'(0'(1'(1'(1'(2'(2'(2'(x1))))))))))))))))))))))))))) [1] 2'(c_2(c_1(c_1(c_1(c_0(c_0(c_2(c_1(c_0(c_2(c_1(c_2(c_0(c_0(c_2(c_1(c_0(c_1(c_1(c_2(c_2(c_1(x1))))))))))))))))))))))) -> 2'(1'(2'(2'(0'(1'(2'(1'(1'(0'(1'(2'(1'(0'(0'(1'(2'(2'(1'(2'(1'(0'(2'(1'(2'(2'(1'(x1))))))))))))))))))))))))))) [1] 2'(c_2(c_1(c_1(c_2(c_0(c_0(c_2(c_2(c_2(c_2(c_1(c_1(c_1(c_1(c_1(c_2(c_1(c_2(c_0(c_0(c_1(c_1(x1))))))))))))))))))))))) -> 2'(2'(1'(1'(2'(2'(1'(2'(1'(2'(2'(0'(0'(0'(2'(1'(0'(2'(2'(1'(2'(2'(0'(1'(1'(2'(2'(x1))))))))))))))))))))))))))) [1] 0'(c_0(c_2(c_0(c_2(c_2(c_1(c_2(c_1(c_1(c_2(c_1(c_1(c_2(c_1(c_0(c_0(c_0(c_0(c_1(c_1(c_2(c_1(x1))))))))))))))))))))))) -> 0'(0'(1'(2'(2'(1'(1'(2'(2'(1'(1'(2'(2'(2'(2'(0'(1'(2'(1'(2'(1'(1'(1'(0'(1'(2'(2'(x1))))))))))))))))))))))))))) [1] 2'(c_1(c_0(c_1(c_0(c_0(c_2(c_2(c_2(c_0(c_1(c_0(c_0(c_2(c_0(c_0(c_1(c_2(c_0(c_2(c_2(c_2(c_0(x1))))))))))))))))))))))) -> 2'(1'(1'(2'(0'(1'(2'(0'(0'(2'(0'(1'(2'(2'(1'(1'(1'(2'(2'(2'(0'(0'(1'(1'(0'(2'(0'(x1))))))))))))))))))))))))))) [1] 0'(c_1(c_1(c_1(c_2(c_2(c_1(c_0(c_0(c_2(c_2(c_2(c_2(c_0(c_2(c_0(c_0(c_0(c_0(c_1(c_0(c_0(c_2(x1))))))))))))))))))))))) -> 0'(2'(1'(1'(1'(1'(2'(2'(1'(1'(0'(1'(1'(2'(1'(2'(1'(0'(0'(1'(2'(2'(1'(0'(0'(2'(2'(x1))))))))))))))))))))))))))) [1] 0'(c_1(c_1(c_0(c_1(c_1(c_1(c_2(c_2(c_0(c_2(c_0(c_1(c_2(c_2(c_2(c_0(c_1(c_2(c_0(c_1(c_0(c_2(x1))))))))))))))))))))))) -> 0'(2'(0'(1'(0'(2'(0'(2'(2'(2'(1'(2'(1'(1'(2'(2'(2'(2'(2'(2'(2'(1'(0'(0'(0'(2'(2'(x1))))))))))))))))))))))))))) [1] 2'(c_0(c_2(c_0(c_1(c_0(c_1(c_1(c_2(c_0(c_1(c_1(c_2(c_2(c_1(c_0(c_2(c_0(c_2(c_0(c_2(c_2(c_2(x1))))))))))))))))))))))) -> 2'(0'(0'(1'(1'(2'(0'(2'(2'(1'(1'(2'(2'(0'(1'(2'(2'(2'(0'(0'(2'(0'(2'(2'(2'(0'(2'(x1))))))))))))))))))))))))))) [1] 2'(c_2(c_0(c_1(c_2(c_2(c_2(c_0(c_2(c_2(c_2(c_0(c_2(c_2(c_2(c_2(c_1(c_0(c_1(c_0(c_0(c_1(c_0(x1))))))))))))))))))))))) -> 2'(2'(0'(1'(1'(2'(2'(2'(1'(1'(2'(1'(0'(0'(1'(2'(2'(1'(2'(1'(0'(2'(2'(0'(0'(2'(0'(x1))))))))))))))))))))))))))) [1] 2'(c_2(c_1(c_1(c_1(c_2(c_0(c_1(c_1(c_2(c_2(c_0(c_1(c_1(c_1(c_1(c_1(c_2(c_2(c_2(c_0(c_2(c_1(x1))))))))))))))))))))))) -> 1'(2'(1'(2'(2'(1'(1'(1'(1'(2'(2'(2'(1'(2'(0'(0'(0'(1'(2'(0'(0'(1'(2'(2'(2'(2'(2'(x1))))))))))))))))))))))))))) [1] 2'(c_1(c_1(c_0(c_2(c_2(c_2(c_0(c_1(c_2(c_1(c_1(c_0(c_1(c_2(c_0(c_0(c_1(c_1(c_1(c_1(c_2(c_2(x1))))))))))))))))))))))) -> 2'(0'(0'(2'(1'(0'(0'(0'(0'(0'(1'(2'(1'(1'(2'(1'(1'(2'(1'(2'(2'(0'(1'(1'(1'(2'(2'(x1))))))))))))))))))))))))))) [1] 2'(c_2(c_1(c_2(c_1(c_2(c_2(c_2(c_0(c_1(c_2(c_1(c_2(c_2(c_2(c_2(c_1(c_1(c_0(c_1(c_0(c_1(c_0(x1))))))))))))))))))))))) -> 1'(2'(1'(2'(1'(2'(0'(1'(2'(2'(0'(1'(1'(1'(2'(2'(1'(1'(1'(2'(2'(0'(1'(0'(1'(2'(2'(x1))))))))))))))))))))))))))) [1] 1'(c_1(c_0(c_1(c_2(c_2(c_2(c_2(c_1(c_0(c_2(c_1(c_2(c_0(c_0(c_0(c_1(c_0(c_2(c_1(c_1(c_1(c_2(x1))))))))))))))))))))))) -> 2'(1'(2'(1'(2'(2'(2'(2'(2'(0'(0'(0'(0'(2'(1'(2'(2'(2'(2'(1'(2'(2'(2'(0'(0'(2'(2'(x1))))))))))))))))))))))))))) [1] 2'(c_0(c_2(c_0(c_1(c_2(c_2(c_0(c_0(c_2(c_2(c_2(c_1(c_1(c_1(c_2(c_1(c_0(c_2(c_0(c_2(c_2(c_0(x1))))))))))))))))))))))) -> 2'(1'(1'(1'(2'(2'(0'(0'(0'(2'(1'(0'(0'(0'(1'(1'(0'(2'(2'(0'(2'(2'(2'(2'(2'(2'(0'(x1))))))))))))))))))))))))))) [1] 2'(c_2(c_0(c_0(c_2(c_1(c_2(c_0(c_1(c_2(c_0(c_2(c_1(c_0(c_1(c_1(c_2(c_2(c_1(c_0(c_1(c_0(c_2(x1))))))))))))))))))))))) -> 2'(2'(2'(2'(1'(2'(1'(2'(0'(2'(2'(2'(2'(2'(0'(1'(2'(0'(2'(1'(0'(0'(0'(2'(0'(2'(2'(x1))))))))))))))))))))))))))) [1] 1'(c_1(c_2(c_2(c_1(c_0(c_2(c_0(c_1(c_1(c_2(c_2(c_2(c_1(c_0(c_1(c_0(c_0(c_2(c_1(c_1(c_0(c_2(x1))))))))))))))))))))))) -> 2'(2'(2'(1'(1'(2'(2'(2'(1'(2'(2'(0'(0'(2'(0'(0'(1'(2'(0'(2'(2'(1'(2'(2'(2'(0'(2'(x1))))))))))))))))))))))))))) [1] 0'(c_1(c_0(c_0(c_1(c_2(c_2(c_1(c_0(c_1(c_2(c_1(c_2(c_0(c_1(c_0(c_2(c_2(c_0(c_1(c_2(c_1(c_0(x1))))))))))))))))))))))) -> 0'(0'(0'(1'(2'(2'(2'(2'(2'(2'(2'(0'(0'(0'(0'(1'(2'(1'(2'(2'(2'(1'(0'(2'(0'(2'(0'(x1))))))))))))))))))))))))))) [1] 0'(c_0(c_1(c_2(c_0(c_1(c_0(c_0(c_2(c_0(c_1(c_1(c_0(c_1(c_2(c_1(c_1(c_2(c_2(c_1(c_1(c_0(c_2(x1))))))))))))))))))))))) -> 0'(2'(2'(2'(0'(1'(1'(2'(1'(2'(2'(1'(2'(1'(0'(2'(2'(2'(1'(2'(1'(1'(0'(0'(1'(0'(2'(x1))))))))))))))))))))))))))) [1] 1'(c_0(c_1(c_0(c_2(c_2(c_2(c_2(c_1(c_0(c_0(c_2(c_0(c_2(c_1(c_2(c_1(c_2(c_1(c_1(c_2(c_0(c_2(x1))))))))))))))))))))))) -> 2'(1'(2'(0'(2'(0'(2'(0'(2'(2'(2'(2'(1'(2'(1'(2'(2'(2'(1'(1'(2'(1'(0'(1'(1'(2'(2'(x1))))))))))))))))))))))))))) [1] 1'(c_1(c_1(c_0(c_2(c_2(c_1(c_1(c_1(c_2(c_2(c_0(c_2(c_0(c_2(c_1(c_1(c_2(c_1(c_2(c_1(c_2(c_2(x1))))))))))))))))))))))) -> 1'(2'(1'(2'(1'(1'(1'(1'(2'(1'(1'(1'(2'(2'(0'(1'(0'(2'(2'(1'(2'(2'(2'(1'(0'(1'(2'(x1))))))))))))))))))))))))))) [1] 2'(c_2(c_2(c_0(c_0(c_1(c_0(c_0(c_2(c_0(c_0(c_2(c_1(c_1(c_2(c_1(c_0(c_1(c_2(c_2(c_2(c_1(c_0(x1))))))))))))))))))))))) -> 1'(2'(2'(2'(2'(0'(1'(2'(1'(2'(0'(1'(2'(1'(2'(1'(0'(1'(0'(1'(0'(1'(1'(2'(2'(1'(0'(x1))))))))))))))))))))))))))) [1] 1'(c_0(c_0(c_1(c_0(c_1(c_1(c_0(c_2(c_1(c_1(c_2(c_1(c_2(c_1(c_2(c_0(c_1(c_2(c_2(c_1(c_2(c_1(x1))))))))))))))))))))))) -> 1'(2'(0'(0'(1'(1'(2'(2'(1'(2'(0'(2'(2'(0'(1'(1'(2'(2'(2'(1'(2'(2'(2'(2'(2'(1'(2'(x1))))))))))))))))))))))))))) [1] 2'(c_1(c_0(c_1(c_1(c_2(c_0(c_0(c_2(c_1(c_0(c_0(c_0(c_1(c_2(c_1(c_1(c_2(c_0(c_2(c_1(c_2(c_1(x1))))))))))))))))))))))) -> 2'(0'(2'(2'(0'(0'(2'(2'(1'(1'(1'(2'(0'(1'(0'(1'(2'(2'(2'(2'(2'(0'(0'(0'(2'(2'(1'(x1))))))))))))))))))))))))))) [1] 2'(c_2(c_1(c_2(c_2(c_0(c_0(c_2(c_1(c_1(c_0(c_2(c_2(c_0(c_2(c_2(c_0(c_2(c_2(c_1(c_2(c_0(c_2(x1))))))))))))))))))))))) -> 1'(2'(1'(1'(1'(2'(2'(2'(1'(2'(1'(0'(2'(1'(1'(1'(1'(2'(2'(0'(0'(1'(1'(0'(2'(1'(2'(x1))))))))))))))))))))))))))) [1] 1'(c_2(c_2(c_2(c_1(c_1(c_0(c_0(c_2(c_2(c_2(c_0(c_0(c_0(c_2(c_1(c_2(c_2(c_0(c_2(c_0(c_2(c_0(x1))))))))))))))))))))))) -> 1'(2'(1'(2'(0'(0'(1'(1'(1'(2'(2'(2'(2'(1'(2'(2'(2'(0'(2'(0'(1'(2'(2'(2'(2'(0'(0'(x1))))))))))))))))))))))))))) [1] 2'(c_2(c_0(c_0(c_1(c_2(c_1(c_1(c_2(c_1(c_0(c_0(c_0(c_0(c_0(c_2(c_1(c_2(c_1(c_1(c_2(c_0(c_2(x1))))))))))))))))))))))) -> 2'(1'(1'(2'(2'(2'(2'(1'(2'(1'(0'(0'(2'(1'(0'(2'(2'(0'(1'(1'(0'(2'(0'(0'(0'(0'(2'(x1))))))))))))))))))))))))))) [1] 0'(c_1(c_1(c_1(c_1(c_2(c_1(c_1(c_2(c_2(c_0(c_1(c_0(c_1(c_1(c_0(c_2(c_0(c_0(c_2(c_0(c_1(c_0(x1))))))))))))))))))))))) -> 2'(2'(2'(2'(2'(1'(0'(1'(2'(2'(0'(1'(1'(1'(2'(2'(1'(1'(0'(0'(0'(0'(2'(2'(1'(2'(2'(x1))))))))))))))))))))))))))) [1] 1'(c_2(c_0(c_2(c_1(c_2(c_2(c_1(c_2(c_2(c_2(c_0(c_1(c_1(c_1(c_1(c_0(c_1(c_0(c_0(c_2(c_0(c_1(x1))))))))))))))))))))))) -> 1'(2'(1'(2'(1'(2'(2'(2'(2'(2'(2'(0'(0'(2'(0'(0'(2'(2'(0'(1'(1'(1'(1'(0'(0'(2'(1'(x1))))))))))))))))))))))))))) [1] 1'(c_1(c_0(c_2(c_1(c_0(c_2(c_0(c_1(c_2(c_0(c_2(c_0(c_0(c_2(c_1(c_0(c_1(c_0(c_1(c_2(c_1(c_2(x1))))))))))))))))))))))) -> 2'(0'(2'(2'(1'(1'(1'(2'(2'(0'(1'(2'(0'(2'(1'(1'(2'(1'(0'(0'(2'(0'(1'(2'(2'(2'(2'(x1))))))))))))))))))))))))))) [1] 0'(c_1(c_2(c_1(c_1(c_2(c_2(c_2(c_1(c_1(c_0(c_0(c_1(c_0(c_2(c_0(c_2(c_2(c_1(c_0(c_2(c_1(c_1(x1))))))))))))))))))))))) -> 2'(1'(2'(1'(2'(1'(2'(2'(0'(2'(0'(1'(2'(1'(2'(1'(2'(0'(1'(2'(0'(0'(2'(2'(1'(1'(2'(x1))))))))))))))))))))))))))) [1] 2'(c_0(c_1(c_0(c_0(c_0(c_1(c_0(c_0(c_0(c_0(c_0(c_0(c_0(c_1(c_0(c_2(c_0(c_0(c_2(c_2(c_2(c_2(x1))))))))))))))))))))))) -> 2'(2'(2'(1'(1'(2'(1'(2'(0'(1'(1'(2'(1'(0'(2'(1'(0'(0'(1'(0'(1'(1'(2'(1'(2'(2'(2'(x1))))))))))))))))))))))))))) [1] 0'(c_0(c_1(c_0(c_2(c_2(c_1(c_2(c_0(c_0(c_1(c_2(c_0(c_2(c_2(c_2(c_1(c_1(c_2(c_0(c_0(c_2(c_1(x1))))))))))))))))))))))) -> 0'(1'(1'(1'(0'(2'(1'(2'(1'(2'(0'(1'(1'(2'(1'(1'(2'(2'(2'(2'(2'(0'(2'(2'(2'(1'(2'(x1))))))))))))))))))))))))))) [1] 2'(c_2(c_0(c_0(c_1(c_0(c_1(c_2(c_2(c_2(c_1(c_1(c_0(c_0(c_1(c_2(c_2(c_1(c_2(c_0(c_1(c_2(c_1(x1))))))))))))))))))))))) -> 2'(2'(2'(2'(0'(2'(0'(2'(2'(1'(2'(1'(0'(1'(1'(2'(2'(0'(0'(2'(1'(2'(1'(2'(1'(2'(0'(x1))))))))))))))))))))))))))) [1] 0'(c_0(c_0(c_0(c_1(c_0(c_0(c_2(c_2(c_1(c_0(c_2(c_0(c_2(c_1(c_1(c_2(c_1(c_2(c_2(c_0(c_1(c_1(x1))))))))))))))))))))))) -> 0'(1'(2'(0'(0'(2'(1'(2'(2'(1'(1'(2'(1'(1'(1'(1'(2'(2'(2'(1'(2'(1'(0'(2'(1'(1'(0'(x1))))))))))))))))))))))))))) [1] 0'(c_0(c_0(c_2(c_2(c_0(c_2(c_2(c_2(c_1(c_1(c_0(c_2(c_2(c_1(c_2(c_1(c_0(c_2(c_0(c_0(c_0(c_1(x1))))))))))))))))))))))) -> 2'(0'(1'(1'(1'(2'(2'(1'(1'(2'(2'(2'(2'(1'(0'(1'(2'(1'(1'(2'(2'(2'(1'(2'(1'(2'(2'(x1))))))))))))))))))))))))))) [1] 2'(c_2(c_1(c_1(c_2(c_2(c_1(c_2(c_1(c_1(c_1(c_0(c_0(c_2(c_1(c_1(c_0(c_2(c_0(c_0(c_1(c_1(c_2(x1))))))))))))))))))))))) -> 2'(1'(1'(1'(2'(2'(2'(1'(1'(0'(2'(2'(1'(0'(1'(0'(2'(2'(1'(2'(0'(0'(0'(1'(2'(1'(2'(x1))))))))))))))))))))))))))) [1] 1'(c_1(c_0(c_0(c_1(c_1(c_1(c_2(c_2(c_2(c_1(c_2(c_1(c_0(c_0(c_0(c_2(c_2(c_2(c_0(c_1(c_2(c_0(x1))))))))))))))))))))))) -> 2'(1'(2'(1'(2'(2'(2'(1'(2'(2'(0'(2'(2'(1'(0'(2'(1'(2'(2'(0'(1'(0'(1'(1'(2'(2'(2'(x1))))))))))))))))))))))))))) [1] 2'(c_2(c_0(c_1(c_1(c_0(c_0(c_1(c_2(c_1(c_0(c_2(c_1(c_2(c_2(c_2(c_1(c_0(c_0(c_2(c_2(c_2(c_0(x1))))))))))))))))))))))) -> 2'(2'(1'(0'(0'(0'(0'(2'(2'(1'(1'(2'(2'(1'(0'(2'(1'(2'(1'(2'(2'(1'(2'(2'(2'(0'(0'(x1))))))))))))))))))))))))))) [1] 2'(c_1(c_2(c_1(c_0(c_2(c_1(c_2(c_0(c_0(c_0(c_0(c_2(c_0(c_0(c_0(c_2(c_2(c_0(c_0(c_0(c_0(c_1(x1))))))))))))))))))))))) -> 2'(1'(2'(1'(2'(0'(0'(2'(1'(0'(0'(2'(2'(0'(1'(0'(2'(1'(2'(1'(2'(2'(1'(2'(1'(1'(2'(x1))))))))))))))))))))))))))) [1] encArg(cons_0(x_1)) -> 0'(encArg(x_1)) [0] encArg(cons_1(x_1)) -> 1'(encArg(x_1)) [0] encArg(cons_2(x_1)) -> 2'(encArg(x_1)) [0] encode_0(x_1) -> 0'(encArg(x_1)) [0] encode_1(x_1) -> 1'(encArg(x_1)) [0] encode_2(x_1) -> 2'(encArg(x_1)) [0] 0'(x0) -> c_0(x0) [0] 1'(x0) -> c_1(x0) [0] 2'(x0) -> c_2(x0) [0] encArg(v0) -> null_encArg [0] encode_0(v0) -> null_encode_0 [0] encode_1(v0) -> null_encode_1 [0] encode_2(v0) -> null_encode_2 [0] 0'(v0) -> null_0' [0] 1'(v0) -> null_1' [0] 2'(v0) -> null_2' [0] The TRS has the following type information: 1' :: c_1:c_2:c_0:null_encArg:null_encode_0:null_encode_1:null_encode_2:null_0':null_1':null_2' -> c_1:c_2:c_0:null_encArg:null_encode_0:null_encode_1:null_encode_2:null_0':null_1':null_2' c_2 :: c_1:c_2:c_0:null_encArg:null_encode_0:null_encode_1:null_encode_2:null_0':null_1':null_2' -> c_1:c_2:c_0:null_encArg:null_encode_0:null_encode_1:null_encode_2:null_0':null_1':null_2' c_0 :: c_1:c_2:c_0:null_encArg:null_encode_0:null_encode_1:null_encode_2:null_0':null_1':null_2' -> c_1:c_2:c_0:null_encArg:null_encode_0:null_encode_1:null_encode_2:null_0':null_1':null_2' c_1 :: c_1:c_2:c_0:null_encArg:null_encode_0:null_encode_1:null_encode_2:null_0':null_1':null_2' -> c_1:c_2:c_0:null_encArg:null_encode_0:null_encode_1:null_encode_2:null_0':null_1':null_2' 2' :: c_1:c_2:c_0:null_encArg:null_encode_0:null_encode_1:null_encode_2:null_0':null_1':null_2' -> c_1:c_2:c_0:null_encArg:null_encode_0:null_encode_1:null_encode_2:null_0':null_1':null_2' 0' :: c_1:c_2:c_0:null_encArg:null_encode_0:null_encode_1:null_encode_2:null_0':null_1':null_2' -> c_1:c_2:c_0:null_encArg:null_encode_0:null_encode_1:null_encode_2:null_0':null_1':null_2' encArg :: cons_0:cons_1:cons_2 -> c_1:c_2:c_0:null_encArg:null_encode_0:null_encode_1:null_encode_2:null_0':null_1':null_2' cons_0 :: cons_0:cons_1:cons_2 -> cons_0:cons_1:cons_2 cons_1 :: cons_0:cons_1:cons_2 -> cons_0:cons_1:cons_2 cons_2 :: cons_0:cons_1:cons_2 -> cons_0:cons_1:cons_2 encode_0 :: cons_0:cons_1:cons_2 -> c_1:c_2:c_0:null_encArg:null_encode_0:null_encode_1:null_encode_2:null_0':null_1':null_2' encode_1 :: cons_0:cons_1:cons_2 -> c_1:c_2:c_0:null_encArg:null_encode_0:null_encode_1:null_encode_2:null_0':null_1':null_2' encode_2 :: cons_0:cons_1:cons_2 -> c_1:c_2:c_0:null_encArg:null_encode_0:null_encode_1:null_encode_2:null_0':null_1':null_2' null_encArg :: c_1:c_2:c_0:null_encArg:null_encode_0:null_encode_1:null_encode_2:null_0':null_1':null_2' null_encode_0 :: c_1:c_2:c_0:null_encArg:null_encode_0:null_encode_1:null_encode_2:null_0':null_1':null_2' null_encode_1 :: c_1:c_2:c_0:null_encArg:null_encode_0:null_encode_1:null_encode_2:null_0':null_1':null_2' null_encode_2 :: c_1:c_2:c_0:null_encArg:null_encode_0:null_encode_1:null_encode_2:null_0':null_1':null_2' null_0' :: c_1:c_2:c_0:null_encArg:null_encode_0:null_encode_1:null_encode_2:null_0':null_1':null_2' null_1' :: c_1:c_2:c_0:null_encArg:null_encode_0:null_encode_1:null_encode_2:null_0':null_1':null_2' null_2' :: c_1:c_2:c_0:null_encArg:null_encode_0:null_encode_1:null_encode_2:null_0':null_1':null_2' const :: cons_0:cons_1:cons_2 Rewrite Strategy: INNERMOST ---------------------------------------- (37) CpxTypedWeightedTrsToRntsProof (UPPER BOUND(ID)) Transformed the TRS into an over-approximating RNTS by (improved) Size Abstraction. The constant constructors are abstracted as follows: null_encArg => 0 null_encode_0 => 0 null_encode_1 => 0 null_encode_2 => 0 null_0' => 0 null_1' => 0 null_2' => 0 const => 0 ---------------------------------------- (38) Obligation: Complexity RNTS consisting of the following rules: 0'(z) -{ 1 }-> 2'(2'(2'(2'(2'(1'(0'(1'(2'(2'(0'(1'(1'(1'(2'(2'(1'(1'(0'(0'(0'(0'(2'(2'(1'(2'(2'(x1))))))))))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1))))))))))))))))))))) 0'(z) -{ 1 }-> 2'(1'(2'(1'(2'(1'(2'(2'(0'(2'(0'(1'(2'(1'(2'(1'(2'(0'(1'(2'(0'(0'(2'(2'(1'(1'(2'(x1))))))))))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1))))))))))))))))))))) 0'(z) -{ 1 }-> 2'(0'(1'(1'(1'(2'(2'(1'(1'(2'(2'(2'(2'(1'(0'(1'(2'(1'(1'(2'(2'(2'(1'(2'(1'(2'(2'(x1))))))))))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1))))))))))))))))))))) 0'(z) -{ 1 }-> 0'(2'(2'(2'(0'(1'(1'(2'(1'(2'(2'(1'(2'(1'(0'(2'(2'(2'(1'(2'(1'(1'(0'(0'(1'(0'(2'(x1))))))))))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1))))))))))))))))))))) 0'(z) -{ 1 }-> 0'(2'(1'(1'(1'(1'(2'(2'(1'(1'(0'(1'(1'(2'(1'(2'(1'(0'(0'(1'(2'(2'(1'(0'(0'(2'(2'(x1))))))))))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1))))))))))))))))))))) 0'(z) -{ 1 }-> 0'(2'(0'(1'(0'(2'(0'(2'(2'(2'(1'(2'(1'(1'(2'(2'(2'(2'(2'(2'(2'(1'(0'(0'(0'(2'(2'(x1))))))))))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1))))))))))))))))))))) 0'(z) -{ 1 }-> 0'(1'(2'(0'(0'(2'(1'(2'(2'(1'(1'(2'(1'(1'(1'(1'(2'(2'(2'(1'(2'(1'(0'(2'(1'(1'(0'(x1))))))))))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1))))))))))))))))))))) 0'(z) -{ 1 }-> 0'(1'(1'(1'(0'(2'(1'(2'(1'(2'(0'(1'(1'(2'(1'(1'(2'(2'(2'(2'(2'(0'(2'(2'(2'(1'(2'(x1))))))))))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1))))))))))))))))))))) 0'(z) -{ 1 }-> 0'(0'(1'(2'(2'(1'(1'(2'(2'(1'(1'(2'(2'(2'(2'(0'(1'(2'(1'(2'(1'(1'(1'(0'(1'(2'(2'(x1))))))))))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1))))))))))))))))))))) 0'(z) -{ 1 }-> 0'(0'(0'(1'(2'(2'(2'(2'(2'(2'(2'(0'(0'(0'(0'(1'(2'(1'(2'(2'(2'(1'(0'(2'(0'(2'(0'(x1))))))))))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1))))))))))))))))))))) 0'(z) -{ 0 }-> 0 :|: v0 >= 0, z = v0 0'(z) -{ 0 }-> 1 + x0 :|: z = x0, x0 >= 0 1'(z) -{ 1 }-> 2'(2'(2'(1'(1'(2'(2'(2'(1'(2'(2'(0'(0'(2'(0'(0'(1'(2'(0'(2'(2'(1'(2'(2'(2'(0'(2'(x1))))))))))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1))))))))))))))))))))) 1'(z) -{ 1 }-> 2'(2'(1'(2'(1'(2'(2'(1'(0'(1'(2'(2'(2'(1'(0'(2'(1'(1'(2'(1'(0'(1'(1'(1'(2'(2'(2'(x1))))))))))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1))))))))))))))))))))) 1'(z) -{ 1 }-> 2'(1'(2'(1'(2'(2'(2'(2'(2'(0'(0'(0'(0'(2'(1'(2'(2'(2'(2'(1'(2'(2'(2'(0'(0'(2'(2'(x1))))))))))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1))))))))))))))))))))) 1'(z) -{ 1 }-> 2'(1'(2'(1'(2'(2'(2'(1'(2'(2'(0'(2'(2'(1'(0'(2'(1'(2'(2'(0'(1'(0'(1'(1'(2'(2'(2'(x1))))))))))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1))))))))))))))))))))) 1'(z) -{ 1 }-> 2'(1'(2'(0'(2'(0'(2'(0'(2'(2'(2'(2'(1'(2'(1'(2'(2'(2'(1'(1'(2'(1'(0'(1'(1'(2'(2'(x1))))))))))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1))))))))))))))))))))) 1'(z) -{ 1 }-> 2'(0'(2'(2'(1'(1'(1'(2'(2'(0'(1'(2'(0'(2'(1'(1'(2'(1'(0'(0'(2'(0'(1'(2'(2'(2'(2'(x1))))))))))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1))))))))))))))))))))) 1'(z) -{ 1 }-> 1'(2'(2'(0'(2'(1'(2'(2'(0'(1'(0'(2'(1'(0'(1'(2'(1'(2'(2'(2'(2'(0'(2'(2'(0'(2'(0'(x1))))))))))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1))))))))))))))))))))) 1'(z) -{ 1 }-> 1'(2'(1'(2'(1'(2'(2'(2'(2'(2'(2'(0'(0'(2'(0'(0'(2'(2'(0'(1'(1'(1'(1'(0'(0'(2'(1'(x1))))))))))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1))))))))))))))))))))) 1'(z) -{ 1 }-> 1'(2'(1'(2'(1'(1'(1'(1'(2'(1'(1'(1'(2'(2'(0'(1'(0'(2'(2'(1'(2'(2'(2'(1'(0'(1'(2'(x1))))))))))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1))))))))))))))))))))) 1'(z) -{ 1 }-> 1'(2'(1'(2'(0'(0'(1'(1'(1'(2'(2'(2'(2'(1'(2'(2'(2'(0'(2'(0'(1'(2'(2'(2'(2'(0'(0'(x1))))))))))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1))))))))))))))))))))) 1'(z) -{ 1 }-> 1'(2'(0'(0'(1'(1'(2'(2'(1'(2'(0'(2'(2'(0'(1'(1'(2'(2'(2'(1'(2'(2'(2'(2'(2'(1'(2'(x1))))))))))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1))))))))))))))))))))) 1'(z) -{ 0 }-> 0 :|: v0 >= 0, z = v0 1'(z) -{ 0 }-> 1 + x0 :|: z = x0, x0 >= 0 2'(z) -{ 1 }-> 2'(2'(2'(2'(1'(2'(1'(2'(0'(2'(2'(2'(2'(2'(0'(1'(2'(0'(2'(1'(0'(0'(0'(2'(0'(2'(2'(x1))))))))))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1))))))))))))))))))))) 2'(z) -{ 1 }-> 2'(2'(2'(2'(0'(2'(0'(2'(2'(1'(2'(1'(0'(1'(1'(2'(2'(0'(0'(2'(1'(2'(1'(2'(1'(2'(0'(x1))))))))))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1))))))))))))))))))))) 2'(z) -{ 1 }-> 2'(2'(2'(1'(1'(2'(1'(2'(0'(1'(1'(2'(1'(0'(2'(1'(0'(0'(1'(0'(1'(1'(2'(1'(2'(2'(2'(x1))))))))))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1))))))))))))))))))))) 2'(z) -{ 1 }-> 2'(2'(1'(1'(2'(2'(1'(2'(1'(2'(2'(0'(0'(0'(2'(1'(0'(2'(2'(1'(2'(2'(0'(1'(1'(2'(2'(x1))))))))))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1))))))))))))))))))))) 2'(z) -{ 1 }-> 2'(2'(1'(0'(0'(0'(0'(2'(2'(1'(1'(2'(2'(1'(0'(2'(1'(2'(1'(2'(2'(1'(2'(2'(2'(0'(0'(x1))))))))))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1))))))))))))))))))))) 2'(z) -{ 1 }-> 2'(2'(0'(1'(1'(2'(2'(2'(1'(1'(2'(1'(0'(0'(1'(2'(2'(1'(2'(1'(0'(2'(2'(0'(0'(2'(0'(x1))))))))))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1))))))))))))))))))))) 2'(z) -{ 1 }-> 2'(1'(2'(2'(0'(1'(2'(1'(1'(0'(1'(2'(1'(0'(0'(1'(2'(2'(1'(2'(1'(0'(2'(1'(2'(2'(1'(x1))))))))))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1))))))))))))))))))))) 2'(z) -{ 1 }-> 2'(1'(2'(1'(2'(0'(0'(2'(1'(0'(0'(2'(2'(0'(1'(0'(2'(1'(2'(1'(2'(2'(1'(2'(1'(1'(2'(x1))))))))))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1))))))))))))))))))))) 2'(z) -{ 1 }-> 2'(1'(1'(2'(2'(2'(2'(1'(2'(1'(0'(0'(2'(1'(0'(2'(2'(0'(1'(1'(0'(2'(0'(0'(0'(0'(2'(x1))))))))))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1))))))))))))))))))))) 2'(z) -{ 1 }-> 2'(1'(1'(2'(0'(1'(2'(0'(0'(2'(0'(1'(2'(2'(1'(1'(1'(2'(2'(2'(0'(0'(1'(1'(0'(2'(0'(x1))))))))))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1))))))))))))))))))))) 2'(z) -{ 1 }-> 2'(1'(1'(1'(2'(2'(2'(1'(1'(0'(2'(2'(1'(0'(1'(0'(2'(2'(1'(2'(0'(0'(0'(1'(2'(1'(2'(x1))))))))))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1))))))))))))))))))))) 2'(z) -{ 1 }-> 2'(1'(1'(1'(2'(2'(0'(0'(0'(2'(1'(0'(0'(0'(1'(1'(0'(2'(2'(0'(2'(2'(2'(2'(2'(2'(0'(x1))))))))))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1))))))))))))))))))))) 2'(z) -{ 1 }-> 2'(0'(2'(2'(0'(0'(2'(2'(1'(1'(1'(2'(0'(1'(0'(1'(2'(2'(2'(2'(2'(0'(0'(0'(2'(2'(1'(x1))))))))))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1))))))))))))))))))))) 2'(z) -{ 1 }-> 2'(0'(0'(2'(1'(0'(0'(0'(0'(0'(1'(2'(1'(1'(2'(1'(1'(2'(1'(2'(2'(0'(1'(1'(1'(2'(2'(x1))))))))))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1))))))))))))))))))))) 2'(z) -{ 1 }-> 2'(0'(0'(1'(1'(2'(0'(2'(2'(1'(1'(2'(2'(0'(1'(2'(2'(2'(0'(0'(2'(0'(2'(2'(2'(0'(2'(x1))))))))))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1))))))))))))))))))))) 2'(z) -{ 1 }-> 1'(2'(2'(2'(2'(0'(1'(2'(1'(2'(0'(1'(2'(1'(2'(1'(0'(1'(0'(1'(0'(1'(1'(2'(2'(1'(0'(x1))))))))))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1))))))))))))))))))))) 2'(z) -{ 1 }-> 1'(2'(1'(2'(2'(1'(1'(1'(1'(2'(2'(2'(1'(2'(0'(0'(0'(1'(2'(0'(0'(1'(2'(2'(2'(2'(2'(x1))))))))))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1))))))))))))))))))))) 2'(z) -{ 1 }-> 1'(2'(1'(2'(1'(2'(0'(1'(2'(2'(0'(1'(1'(1'(2'(2'(1'(1'(1'(2'(2'(0'(1'(0'(1'(2'(2'(x1))))))))))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1))))))))))))))))))))) 2'(z) -{ 1 }-> 1'(2'(1'(1'(1'(2'(2'(2'(1'(2'(1'(0'(2'(1'(1'(1'(1'(2'(2'(0'(0'(1'(1'(0'(2'(1'(2'(x1))))))))))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1))))))))))))))))))))) 2'(z) -{ 0 }-> 0 :|: v0 >= 0, z = v0 2'(z) -{ 0 }-> 1 + x0 :|: z = x0, x0 >= 0 encArg(z) -{ 0 }-> 2'(encArg(x_1)) :|: z = 1 + x_1, x_1 >= 0 encArg(z) -{ 0 }-> 1'(encArg(x_1)) :|: z = 1 + x_1, x_1 >= 0 encArg(z) -{ 0 }-> 0'(encArg(x_1)) :|: z = 1 + x_1, x_1 >= 0 encArg(z) -{ 0 }-> 0 :|: v0 >= 0, z = v0 encode_0(z) -{ 0 }-> 0'(encArg(x_1)) :|: x_1 >= 0, z = x_1 encode_0(z) -{ 0 }-> 0 :|: v0 >= 0, z = v0 encode_1(z) -{ 0 }-> 1'(encArg(x_1)) :|: x_1 >= 0, z = x_1 encode_1(z) -{ 0 }-> 0 :|: v0 >= 0, z = v0 encode_2(z) -{ 0 }-> 2'(encArg(x_1)) :|: x_1 >= 0, z = x_1 encode_2(z) -{ 0 }-> 0 :|: v0 >= 0, z = v0 Only complete derivations are relevant for the runtime complexity. ---------------------------------------- (39) CpxTrsToCdtProof (UPPER BOUND(ID)) Converted Cpx (relative) TRS to CDT ---------------------------------------- (40) Obligation: Complexity Dependency Tuples Problem Rules: encArg(cons_0(z0)) -> 0(encArg(z0)) encArg(cons_1(z0)) -> 1(encArg(z0)) encArg(cons_2(z0)) -> 2(encArg(z0)) encode_0(z0) -> 0(encArg(z0)) encode_1(z0) -> 1(encArg(z0)) encode_2(z0) -> 2(encArg(z0)) 0(z0) -> c_0(z0) 0(c_0(c_2(c_0(c_2(c_2(c_1(c_2(c_1(c_1(c_2(c_1(c_1(c_2(c_1(c_0(c_0(c_0(c_0(c_1(c_1(c_2(c_1(z0))))))))))))))))))))))) -> 0(0(1(2(2(1(1(2(2(1(1(2(2(2(2(0(1(2(1(2(1(1(1(0(1(2(2(z0))))))))))))))))))))))))))) 0(c_1(c_1(c_1(c_2(c_2(c_1(c_0(c_0(c_2(c_2(c_2(c_2(c_0(c_2(c_0(c_0(c_0(c_0(c_1(c_0(c_0(c_2(z0))))))))))))))))))))))) -> 0(2(1(1(1(1(2(2(1(1(0(1(1(2(1(2(1(0(0(1(2(2(1(0(0(2(2(z0))))))))))))))))))))))))))) 0(c_1(c_1(c_0(c_1(c_1(c_1(c_2(c_2(c_0(c_2(c_0(c_1(c_2(c_2(c_2(c_0(c_1(c_2(c_0(c_1(c_0(c_2(z0))))))))))))))))))))))) -> 0(2(0(1(0(2(0(2(2(2(1(2(1(1(2(2(2(2(2(2(2(1(0(0(0(2(2(z0))))))))))))))))))))))))))) 0(c_1(c_0(c_0(c_1(c_2(c_2(c_1(c_0(c_1(c_2(c_1(c_2(c_0(c_1(c_0(c_2(c_2(c_0(c_1(c_2(c_1(c_0(z0))))))))))))))))))))))) -> 0(0(0(1(2(2(2(2(2(2(2(0(0(0(0(1(2(1(2(2(2(1(0(2(0(2(0(z0))))))))))))))))))))))))))) 0(c_0(c_1(c_2(c_0(c_1(c_0(c_0(c_2(c_0(c_1(c_1(c_0(c_1(c_2(c_1(c_1(c_2(c_2(c_1(c_1(c_0(c_2(z0))))))))))))))))))))))) -> 0(2(2(2(0(1(1(2(1(2(2(1(2(1(0(2(2(2(1(2(1(1(0(0(1(0(2(z0))))))))))))))))))))))))))) 0(c_1(c_1(c_1(c_1(c_2(c_1(c_1(c_2(c_2(c_0(c_1(c_0(c_1(c_1(c_0(c_2(c_0(c_0(c_2(c_0(c_1(c_0(z0))))))))))))))))))))))) -> 2(2(2(2(2(1(0(1(2(2(0(1(1(1(2(2(1(1(0(0(0(0(2(2(1(2(2(z0))))))))))))))))))))))))))) 0(c_1(c_2(c_1(c_1(c_2(c_2(c_2(c_1(c_1(c_0(c_0(c_1(c_0(c_2(c_0(c_2(c_2(c_1(c_0(c_2(c_1(c_1(z0))))))))))))))))))))))) -> 2(1(2(1(2(1(2(2(0(2(0(1(2(1(2(1(2(0(1(2(0(0(2(2(1(1(2(z0))))))))))))))))))))))))))) 0(c_0(c_1(c_0(c_2(c_2(c_1(c_2(c_0(c_0(c_1(c_2(c_0(c_2(c_2(c_2(c_1(c_1(c_2(c_0(c_0(c_2(c_1(z0))))))))))))))))))))))) -> 0(1(1(1(0(2(1(2(1(2(0(1(1(2(1(1(2(2(2(2(2(0(2(2(2(1(2(z0))))))))))))))))))))))))))) 0(c_0(c_0(c_0(c_1(c_0(c_0(c_2(c_2(c_1(c_0(c_2(c_0(c_2(c_1(c_1(c_2(c_1(c_2(c_2(c_0(c_1(c_1(z0))))))))))))))))))))))) -> 0(1(2(0(0(2(1(2(2(1(1(2(1(1(1(1(2(2(2(1(2(1(0(2(1(1(0(z0))))))))))))))))))))))))))) 0(c_0(c_0(c_2(c_2(c_0(c_2(c_2(c_2(c_1(c_1(c_0(c_2(c_2(c_1(c_2(c_1(c_0(c_2(c_0(c_0(c_0(c_1(z0))))))))))))))))))))))) -> 2(0(1(1(1(2(2(1(1(2(2(2(2(1(0(1(2(1(1(2(2(2(1(2(1(2(2(z0))))))))))))))))))))))))))) 1(z0) -> c_1(z0) 1(c_2(c_0(c_0(c_2(c_0(c_1(c_2(c_2(c_0(c_2(c_1(c_2(c_1(c_2(c_0(c_1(c_0(c_1(c_2(c_0(c_2(c_1(z0))))))))))))))))))))))) -> 1(2(2(0(2(1(2(2(0(1(0(2(1(0(1(2(1(2(2(2(2(0(2(2(0(2(0(z0))))))))))))))))))))))))))) 1(c_1(c_0(c_2(c_1(c_2(c_2(c_2(c_2(c_1(c_0(c_1(c_2(c_0(c_1(c_2(c_1(c_1(c_0(c_2(c_1(c_2(c_0(z0))))))))))))))))))))))) -> 2(2(1(2(1(2(2(1(0(1(2(2(2(1(0(2(1(1(2(1(0(1(1(1(2(2(2(z0))))))))))))))))))))))))))) 1(c_1(c_0(c_1(c_2(c_2(c_2(c_2(c_1(c_0(c_2(c_1(c_2(c_0(c_0(c_0(c_1(c_0(c_2(c_1(c_1(c_1(c_2(z0))))))))))))))))))))))) -> 2(1(2(1(2(2(2(2(2(0(0(0(0(2(1(2(2(2(2(1(2(2(2(0(0(2(2(z0))))))))))))))))))))))))))) 1(c_1(c_2(c_2(c_1(c_0(c_2(c_0(c_1(c_1(c_2(c_2(c_2(c_1(c_0(c_1(c_0(c_0(c_2(c_1(c_1(c_0(c_2(z0))))))))))))))))))))))) -> 2(2(2(1(1(2(2(2(1(2(2(0(0(2(0(0(1(2(0(2(2(1(2(2(2(0(2(z0))))))))))))))))))))))))))) 1(c_0(c_1(c_0(c_2(c_2(c_2(c_2(c_1(c_0(c_0(c_2(c_0(c_2(c_1(c_2(c_1(c_2(c_1(c_1(c_2(c_0(c_2(z0))))))))))))))))))))))) -> 2(1(2(0(2(0(2(0(2(2(2(2(1(2(1(2(2(2(1(1(2(1(0(1(1(2(2(z0))))))))))))))))))))))))))) 1(c_1(c_1(c_0(c_2(c_2(c_1(c_1(c_1(c_2(c_2(c_0(c_2(c_0(c_2(c_1(c_1(c_2(c_1(c_2(c_1(c_2(c_2(z0))))))))))))))))))))))) -> 1(2(1(2(1(1(1(1(2(1(1(1(2(2(0(1(0(2(2(1(2(2(2(1(0(1(2(z0))))))))))))))))))))))))))) 1(c_0(c_0(c_1(c_0(c_1(c_1(c_0(c_2(c_1(c_1(c_2(c_1(c_2(c_1(c_2(c_0(c_1(c_2(c_2(c_1(c_2(c_1(z0))))))))))))))))))))))) -> 1(2(0(0(1(1(2(2(1(2(0(2(2(0(1(1(2(2(2(1(2(2(2(2(2(1(2(z0))))))))))))))))))))))))))) 1(c_2(c_2(c_2(c_1(c_1(c_0(c_0(c_2(c_2(c_2(c_0(c_0(c_0(c_2(c_1(c_2(c_2(c_0(c_2(c_0(c_2(c_0(z0))))))))))))))))))))))) -> 1(2(1(2(0(0(1(1(1(2(2(2(2(1(2(2(2(0(2(0(1(2(2(2(2(0(0(z0))))))))))))))))))))))))))) 1(c_2(c_0(c_2(c_1(c_2(c_2(c_1(c_2(c_2(c_2(c_0(c_1(c_1(c_1(c_1(c_0(c_1(c_0(c_0(c_2(c_0(c_1(z0))))))))))))))))))))))) -> 1(2(1(2(1(2(2(2(2(2(2(0(0(2(0(0(2(2(0(1(1(1(1(0(0(2(1(z0))))))))))))))))))))))))))) 1(c_1(c_0(c_2(c_1(c_0(c_2(c_0(c_1(c_2(c_0(c_2(c_0(c_0(c_2(c_1(c_0(c_1(c_0(c_1(c_2(c_1(c_2(z0))))))))))))))))))))))) -> 2(0(2(2(1(1(1(2(2(0(1(2(0(2(1(1(2(1(0(0(2(0(1(2(2(2(2(z0))))))))))))))))))))))))))) 1(c_1(c_0(c_0(c_1(c_1(c_1(c_2(c_2(c_2(c_1(c_2(c_1(c_0(c_0(c_0(c_2(c_2(c_2(c_0(c_1(c_2(c_0(z0))))))))))))))))))))))) -> 2(1(2(1(2(2(2(1(2(2(0(2(2(1(0(2(1(2(2(0(1(0(1(1(2(2(2(z0))))))))))))))))))))))))))) 2(z0) -> c_2(z0) 2(c_2(c_1(c_1(c_1(c_0(c_0(c_2(c_1(c_0(c_2(c_1(c_2(c_0(c_0(c_2(c_1(c_0(c_1(c_1(c_2(c_2(c_1(z0))))))))))))))))))))))) -> 2(1(2(2(0(1(2(1(1(0(1(2(1(0(0(1(2(2(1(2(1(0(2(1(2(2(1(z0))))))))))))))))))))))))))) 2(c_2(c_1(c_1(c_2(c_0(c_0(c_2(c_2(c_2(c_2(c_1(c_1(c_1(c_1(c_1(c_2(c_1(c_2(c_0(c_0(c_1(c_1(z0))))))))))))))))))))))) -> 2(2(1(1(2(2(1(2(1(2(2(0(0(0(2(1(0(2(2(1(2(2(0(1(1(2(2(z0))))))))))))))))))))))))))) 2(c_1(c_0(c_1(c_0(c_0(c_2(c_2(c_2(c_0(c_1(c_0(c_0(c_2(c_0(c_0(c_1(c_2(c_0(c_2(c_2(c_2(c_0(z0))))))))))))))))))))))) -> 2(1(1(2(0(1(2(0(0(2(0(1(2(2(1(1(1(2(2(2(0(0(1(1(0(2(0(z0))))))))))))))))))))))))))) 2(c_0(c_2(c_0(c_1(c_0(c_1(c_1(c_2(c_0(c_1(c_1(c_2(c_2(c_1(c_0(c_2(c_0(c_2(c_0(c_2(c_2(c_2(z0))))))))))))))))))))))) -> 2(0(0(1(1(2(0(2(2(1(1(2(2(0(1(2(2(2(0(0(2(0(2(2(2(0(2(z0))))))))))))))))))))))))))) 2(c_2(c_0(c_1(c_2(c_2(c_2(c_0(c_2(c_2(c_2(c_0(c_2(c_2(c_2(c_2(c_1(c_0(c_1(c_0(c_0(c_1(c_0(z0))))))))))))))))))))))) -> 2(2(0(1(1(2(2(2(1(1(2(1(0(0(1(2(2(1(2(1(0(2(2(0(0(2(0(z0))))))))))))))))))))))))))) 2(c_2(c_1(c_1(c_1(c_2(c_0(c_1(c_1(c_2(c_2(c_0(c_1(c_1(c_1(c_1(c_1(c_2(c_2(c_2(c_0(c_2(c_1(z0))))))))))))))))))))))) -> 1(2(1(2(2(1(1(1(1(2(2(2(1(2(0(0(0(1(2(0(0(1(2(2(2(2(2(z0))))))))))))))))))))))))))) 2(c_1(c_1(c_0(c_2(c_2(c_2(c_0(c_1(c_2(c_1(c_1(c_0(c_1(c_2(c_0(c_0(c_1(c_1(c_1(c_1(c_2(c_2(z0))))))))))))))))))))))) -> 2(0(0(2(1(0(0(0(0(0(1(2(1(1(2(1(1(2(1(2(2(0(1(1(1(2(2(z0))))))))))))))))))))))))))) 2(c_2(c_1(c_2(c_1(c_2(c_2(c_2(c_0(c_1(c_2(c_1(c_2(c_2(c_2(c_2(c_1(c_1(c_0(c_1(c_0(c_1(c_0(z0))))))))))))))))))))))) -> 1(2(1(2(1(2(0(1(2(2(0(1(1(1(2(2(1(1(1(2(2(0(1(0(1(2(2(z0))))))))))))))))))))))))))) 2(c_0(c_2(c_0(c_1(c_2(c_2(c_0(c_0(c_2(c_2(c_2(c_1(c_1(c_1(c_2(c_1(c_0(c_2(c_0(c_2(c_2(c_0(z0))))))))))))))))))))))) -> 2(1(1(1(2(2(0(0(0(2(1(0(0(0(1(1(0(2(2(0(2(2(2(2(2(2(0(z0))))))))))))))))))))))))))) 2(c_2(c_0(c_0(c_2(c_1(c_2(c_0(c_1(c_2(c_0(c_2(c_1(c_0(c_1(c_1(c_2(c_2(c_1(c_0(c_1(c_0(c_2(z0))))))))))))))))))))))) -> 2(2(2(2(1(2(1(2(0(2(2(2(2(2(0(1(2(0(2(1(0(0(0(2(0(2(2(z0))))))))))))))))))))))))))) 2(c_2(c_2(c_0(c_0(c_1(c_0(c_0(c_2(c_0(c_0(c_2(c_1(c_1(c_2(c_1(c_0(c_1(c_2(c_2(c_2(c_1(c_0(z0))))))))))))))))))))))) -> 1(2(2(2(2(0(1(2(1(2(0(1(2(1(2(1(0(1(0(1(0(1(1(2(2(1(0(z0))))))))))))))))))))))))))) 2(c_1(c_0(c_1(c_1(c_2(c_0(c_0(c_2(c_1(c_0(c_0(c_0(c_1(c_2(c_1(c_1(c_2(c_0(c_2(c_1(c_2(c_1(z0))))))))))))))))))))))) -> 2(0(2(2(0(0(2(2(1(1(1(2(0(1(0(1(2(2(2(2(2(0(0(0(2(2(1(z0))))))))))))))))))))))))))) 2(c_2(c_1(c_2(c_2(c_0(c_0(c_2(c_1(c_1(c_0(c_2(c_2(c_0(c_2(c_2(c_0(c_2(c_2(c_1(c_2(c_0(c_2(z0))))))))))))))))))))))) -> 1(2(1(1(1(2(2(2(1(2(1(0(2(1(1(1(1(2(2(0(0(1(1(0(2(1(2(z0))))))))))))))))))))))))))) 2(c_2(c_0(c_0(c_1(c_2(c_1(c_1(c_2(c_1(c_0(c_0(c_0(c_0(c_0(c_2(c_1(c_2(c_1(c_1(c_2(c_0(c_2(z0))))))))))))))))))))))) -> 2(1(1(2(2(2(2(1(2(1(0(0(2(1(0(2(2(0(1(1(0(2(0(0(0(0(2(z0))))))))))))))))))))))))))) 2(c_0(c_1(c_0(c_0(c_0(c_1(c_0(c_0(c_0(c_0(c_0(c_0(c_0(c_1(c_0(c_2(c_0(c_0(c_2(c_2(c_2(c_2(z0))))))))))))))))))))))) -> 2(2(2(1(1(2(1(2(0(1(1(2(1(0(2(1(0(0(1(0(1(1(2(1(2(2(2(z0))))))))))))))))))))))))))) 2(c_2(c_0(c_0(c_1(c_0(c_1(c_2(c_2(c_2(c_1(c_1(c_0(c_0(c_1(c_2(c_2(c_1(c_2(c_0(c_1(c_2(c_1(z0))))))))))))))))))))))) -> 2(2(2(2(0(2(0(2(2(1(2(1(0(1(1(2(2(0(0(2(1(2(1(2(1(2(0(z0))))))))))))))))))))))))))) 2(c_2(c_1(c_1(c_2(c_2(c_1(c_2(c_1(c_1(c_1(c_0(c_0(c_2(c_1(c_1(c_0(c_2(c_0(c_0(c_1(c_1(c_2(z0))))))))))))))))))))))) -> 2(1(1(1(2(2(2(1(1(0(2(2(1(0(1(0(2(2(1(2(0(0(0(1(2(1(2(z0))))))))))))))))))))))))))) 2(c_2(c_0(c_1(c_1(c_0(c_0(c_1(c_2(c_1(c_0(c_2(c_1(c_2(c_2(c_2(c_1(c_0(c_0(c_2(c_2(c_2(c_0(z0))))))))))))))))))))))) -> 2(2(1(0(0(0(0(2(2(1(1(2(2(1(0(2(1(2(1(2(2(1(2(2(2(0(0(z0))))))))))))))))))))))))))) 2(c_1(c_2(c_1(c_0(c_2(c_1(c_2(c_0(c_0(c_0(c_0(c_2(c_0(c_0(c_0(c_2(c_2(c_0(c_0(c_0(c_0(c_1(z0))))))))))))))))))))))) -> 2(1(2(1(2(0(0(2(1(0(0(2(2(0(1(0(2(1(2(1(2(2(1(2(1(1(2(z0))))))))))))))))))))))))))) Tuples: ENCARG(cons_0(z0)) -> c(0'(encArg(z0)), ENCARG(z0)) ENCARG(cons_1(z0)) -> c1(1'(encArg(z0)), ENCARG(z0)) ENCARG(cons_2(z0)) -> c2(2'(encArg(z0)), ENCARG(z0)) ENCODE_0(z0) -> c3(0'(encArg(z0)), ENCARG(z0)) ENCODE_1(z0) -> c4(1'(encArg(z0)), ENCARG(z0)) ENCODE_2(z0) -> c5(2'(encArg(z0)), ENCARG(z0)) 0'(z0) -> c6 0'(c_0(c_2(c_0(c_2(c_2(c_1(c_2(c_1(c_1(c_2(c_1(c_1(c_2(c_1(c_0(c_0(c_0(c_0(c_1(c_1(c_2(c_1(z0))))))))))))))))))))))) -> c7(0'(0(1(2(2(1(1(2(2(1(1(2(2(2(2(0(1(2(1(2(1(1(1(0(1(2(2(z0))))))))))))))))))))))))))), 0'(1(2(2(1(1(2(2(1(1(2(2(2(2(0(1(2(1(2(1(1(1(0(1(2(2(z0)))))))))))))))))))))))))), 1'(2(2(1(1(2(2(1(1(2(2(2(2(0(1(2(1(2(1(1(1(0(1(2(2(z0))))))))))))))))))))))))), 2'(2(1(1(2(2(1(1(2(2(2(2(0(1(2(1(2(1(1(1(0(1(2(2(z0)))))))))))))))))))))))), 2'(1(1(2(2(1(1(2(2(2(2(0(1(2(1(2(1(1(1(0(1(2(2(z0))))))))))))))))))))))), 1'(1(2(2(1(1(2(2(2(2(0(1(2(1(2(1(1(1(0(1(2(2(z0)))))))))))))))))))))), 1'(2(2(1(1(2(2(2(2(0(1(2(1(2(1(1(1(0(1(2(2(z0))))))))))))))))))))), 2'(2(1(1(2(2(2(2(0(1(2(1(2(1(1(1(0(1(2(2(z0)))))))))))))))))))), 2'(1(1(2(2(2(2(0(1(2(1(2(1(1(1(0(1(2(2(z0))))))))))))))))))), 1'(1(2(2(2(2(0(1(2(1(2(1(1(1(0(1(2(2(z0)))))))))))))))))), 1'(2(2(2(2(0(1(2(1(2(1(1(1(0(1(2(2(z0))))))))))))))))), 2'(2(2(2(0(1(2(1(2(1(1(1(0(1(2(2(z0)))))))))))))))), 2'(2(2(0(1(2(1(2(1(1(1(0(1(2(2(z0))))))))))))))), 2'(2(0(1(2(1(2(1(1(1(0(1(2(2(z0)))))))))))))), 2'(0(1(2(1(2(1(1(1(0(1(2(2(z0))))))))))))), 0'(1(2(1(2(1(1(1(0(1(2(2(z0)))))))))))), 1'(2(1(2(1(1(1(0(1(2(2(z0))))))))))), 2'(1(2(1(1(1(0(1(2(2(z0)))))))))), 1'(2(1(1(1(0(1(2(2(z0))))))))), 2'(1(1(1(0(1(2(2(z0)))))))), 1'(1(1(0(1(2(2(z0))))))), 1'(1(0(1(2(2(z0)))))), 1'(0(1(2(2(z0))))), 0'(1(2(2(z0)))), 1'(2(2(z0))), 2'(2(z0)), 2'(z0)) 0'(c_1(c_1(c_1(c_2(c_2(c_1(c_0(c_0(c_2(c_2(c_2(c_2(c_0(c_2(c_0(c_0(c_0(c_0(c_1(c_0(c_0(c_2(z0))))))))))))))))))))))) -> c8(0'(2(1(1(1(1(2(2(1(1(0(1(1(2(1(2(1(0(0(1(2(2(1(0(0(2(2(z0))))))))))))))))))))))))))), 2'(1(1(1(1(2(2(1(1(0(1(1(2(1(2(1(0(0(1(2(2(1(0(0(2(2(z0)))))))))))))))))))))))))), 1'(1(1(1(2(2(1(1(0(1(1(2(1(2(1(0(0(1(2(2(1(0(0(2(2(z0))))))))))))))))))))))))), 1'(1(1(2(2(1(1(0(1(1(2(1(2(1(0(0(1(2(2(1(0(0(2(2(z0)))))))))))))))))))))))), 1'(1(2(2(1(1(0(1(1(2(1(2(1(0(0(1(2(2(1(0(0(2(2(z0))))))))))))))))))))))), 1'(2(2(1(1(0(1(1(2(1(2(1(0(0(1(2(2(1(0(0(2(2(z0)))))))))))))))))))))), 2'(2(1(1(0(1(1(2(1(2(1(0(0(1(2(2(1(0(0(2(2(z0))))))))))))))))))))), 2'(1(1(0(1(1(2(1(2(1(0(0(1(2(2(1(0(0(2(2(z0)))))))))))))))))))), 1'(1(0(1(1(2(1(2(1(0(0(1(2(2(1(0(0(2(2(z0))))))))))))))))))), 1'(0(1(1(2(1(2(1(0(0(1(2(2(1(0(0(2(2(z0)))))))))))))))))), 0'(1(1(2(1(2(1(0(0(1(2(2(1(0(0(2(2(z0))))))))))))))))), 1'(1(2(1(2(1(0(0(1(2(2(1(0(0(2(2(z0)))))))))))))))), 1'(2(1(2(1(0(0(1(2(2(1(0(0(2(2(z0))))))))))))))), 2'(1(2(1(0(0(1(2(2(1(0(0(2(2(z0)))))))))))))), 1'(2(1(0(0(1(2(2(1(0(0(2(2(z0))))))))))))), 2'(1(0(0(1(2(2(1(0(0(2(2(z0)))))))))))), 1'(0(0(1(2(2(1(0(0(2(2(z0))))))))))), 0'(0(1(2(2(1(0(0(2(2(z0)))))))))), 0'(1(2(2(1(0(0(2(2(z0))))))))), 1'(2(2(1(0(0(2(2(z0)))))))), 2'(2(1(0(0(2(2(z0))))))), 2'(1(0(0(2(2(z0)))))), 1'(0(0(2(2(z0))))), 0'(0(2(2(z0)))), 0'(2(2(z0))), 2'(2(z0)), 2'(z0)) 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2'(1(0(2(1(2(2(0(1(0(1(1(2(2(2(z0))))))))))))))), 1'(0(2(1(2(2(0(1(0(1(1(2(2(2(z0)))))))))))))), 0'(2(1(2(2(0(1(0(1(1(2(2(2(z0))))))))))))), 2'(1(2(2(0(1(0(1(1(2(2(2(z0)))))))))))), 1'(2(2(0(1(0(1(1(2(2(2(z0))))))))))), 2'(2(0(1(0(1(1(2(2(2(z0)))))))))), 2'(0(1(0(1(1(2(2(2(z0))))))))), 0'(1(0(1(1(2(2(2(z0)))))))), 1'(0(1(1(2(2(2(z0))))))), 0'(1(1(2(2(2(z0)))))), 1'(1(2(2(2(z0))))), 1'(2(2(2(z0)))), 2'(2(2(z0))), 2'(2(z0)), 2'(z0)) 2'(z0) -> c29 2'(c_2(c_1(c_1(c_1(c_0(c_0(c_2(c_1(c_0(c_2(c_1(c_2(c_0(c_0(c_2(c_1(c_0(c_1(c_1(c_2(c_2(c_1(z0))))))))))))))))))))))) -> c30(2'(1(2(2(0(1(2(1(1(0(1(2(1(0(0(1(2(2(1(2(1(0(2(1(2(2(1(z0))))))))))))))))))))))))))), 1'(2(2(0(1(2(1(1(0(1(2(1(0(0(1(2(2(1(2(1(0(2(1(2(2(1(z0)))))))))))))))))))))))))), 2'(2(0(1(2(1(1(0(1(2(1(0(0(1(2(2(1(2(1(0(2(1(2(2(1(z0))))))))))))))))))))))))), 2'(0(1(2(1(1(0(1(2(1(0(0(1(2(2(1(2(1(0(2(1(2(2(1(z0)))))))))))))))))))))))), 0'(1(2(1(1(0(1(2(1(0(0(1(2(2(1(2(1(0(2(1(2(2(1(z0))))))))))))))))))))))), 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c31(2'(2(1(1(2(2(1(2(1(2(2(0(0(0(2(1(0(2(2(1(2(2(0(1(1(2(2(z0))))))))))))))))))))))))))), 2'(1(1(2(2(1(2(1(2(2(0(0(0(2(1(0(2(2(1(2(2(0(1(1(2(2(z0)))))))))))))))))))))))))), 1'(1(2(2(1(2(1(2(2(0(0(0(2(1(0(2(2(1(2(2(0(1(1(2(2(z0))))))))))))))))))))))))), 1'(2(2(1(2(1(2(2(0(0(0(2(1(0(2(2(1(2(2(0(1(1(2(2(z0)))))))))))))))))))))))), 2'(2(1(2(1(2(2(0(0(0(2(1(0(2(2(1(2(2(0(1(1(2(2(z0))))))))))))))))))))))), 2'(1(2(1(2(2(0(0(0(2(1(0(2(2(1(2(2(0(1(1(2(2(z0)))))))))))))))))))))), 1'(2(1(2(2(0(0(0(2(1(0(2(2(1(2(2(0(1(1(2(2(z0))))))))))))))))))))), 2'(1(2(2(0(0(0(2(1(0(2(2(1(2(2(0(1(1(2(2(z0)))))))))))))))))))), 1'(2(2(0(0(0(2(1(0(2(2(1(2(2(0(1(1(2(2(z0))))))))))))))))))), 2'(2(0(0(0(2(1(0(2(2(1(2(2(0(1(1(2(2(z0)))))))))))))))))), 2'(0(0(0(2(1(0(2(2(1(2(2(0(1(1(2(2(z0))))))))))))))))), 0'(0(0(2(1(0(2(2(1(2(2(0(1(1(2(2(z0)))))))))))))))), 0'(0(2(1(0(2(2(1(2(2(0(1(1(2(2(z0))))))))))))))), 0'(2(1(0(2(2(1(2(2(0(1(1(2(2(z0)))))))))))))), 2'(1(0(2(2(1(2(2(0(1(1(2(2(z0))))))))))))), 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2'(2(1(2(1(2(2(2(1(1(2(1(0(1(1(2(2(z0))))))))))))))))), 2'(1(2(1(2(2(2(1(1(2(1(0(1(1(2(2(z0)))))))))))))))), 1'(2(1(2(2(2(1(1(2(1(0(1(1(2(2(z0))))))))))))))), 2'(1(2(2(2(1(1(2(1(0(1(1(2(2(z0)))))))))))))), 1'(2(2(2(1(1(2(1(0(1(1(2(2(z0))))))))))))), 2'(2(2(1(1(2(1(0(1(1(2(2(z0)))))))))))), 2'(2(1(1(2(1(0(1(1(2(2(z0))))))))))), 2'(1(1(2(1(0(1(1(2(2(z0)))))))))), 1'(1(2(1(0(1(1(2(2(z0))))))))), 1'(2(1(0(1(1(2(2(z0)))))))), 2'(1(0(1(1(2(2(z0))))))), 1'(0(1(1(2(2(z0)))))), 0'(1(1(2(2(z0))))), 1'(1(2(2(z0)))), 1'(2(2(z0))), 2'(2(z0)), 2'(z0)) 1'(c_1(c_1(c_0(c_2(c_2(c_1(c_1(c_1(c_2(c_2(c_0(c_2(c_0(c_2(c_1(c_1(c_2(c_1(c_2(c_1(c_2(c_2(z0))))))))))))))))))))))) -> c23(1'(2(1(2(1(1(1(1(2(1(1(1(2(2(0(1(0(2(2(1(2(2(2(1(0(1(2(z0))))))))))))))))))))))))))), 2'(1(2(1(1(1(1(2(1(1(1(2(2(0(1(0(2(2(1(2(2(2(1(0(1(2(z0)))))))))))))))))))))))))), 1'(2(1(1(1(1(2(1(1(1(2(2(0(1(0(2(2(1(2(2(2(1(0(1(2(z0))))))))))))))))))))))))), 2'(1(1(1(1(2(1(1(1(2(2(0(1(0(2(2(1(2(2(2(1(0(1(2(z0)))))))))))))))))))))))), 1'(1(1(1(2(1(1(1(2(2(0(1(0(2(2(1(2(2(2(1(0(1(2(z0))))))))))))))))))))))), 1'(1(1(2(1(1(1(2(2(0(1(0(2(2(1(2(2(2(1(0(1(2(z0)))))))))))))))))))))), 1'(1(2(1(1(1(2(2(0(1(0(2(2(1(2(2(2(1(0(1(2(z0))))))))))))))))))))), 1'(2(1(1(1(2(2(0(1(0(2(2(1(2(2(2(1(0(1(2(z0)))))))))))))))))))), 2'(1(1(1(2(2(0(1(0(2(2(1(2(2(2(1(0(1(2(z0))))))))))))))))))), 1'(1(1(2(2(0(1(0(2(2(1(2(2(2(1(0(1(2(z0)))))))))))))))))), 1'(1(2(2(0(1(0(2(2(1(2(2(2(1(0(1(2(z0))))))))))))))))), 1'(2(2(0(1(0(2(2(1(2(2(2(1(0(1(2(z0)))))))))))))))), 2'(2(0(1(0(2(2(1(2(2(2(1(0(1(2(z0))))))))))))))), 2'(0(1(0(2(2(1(2(2(2(1(0(1(2(z0)))))))))))))), 0'(1(0(2(2(1(2(2(2(1(0(1(2(z0))))))))))))), 1'(0(2(2(1(2(2(2(1(0(1(2(z0)))))))))))), 0'(2(2(1(2(2(2(1(0(1(2(z0))))))))))), 2'(2(1(2(2(2(1(0(1(2(z0)))))))))), 2'(1(2(2(2(1(0(1(2(z0))))))))), 1'(2(2(2(1(0(1(2(z0)))))))), 2'(2(2(1(0(1(2(z0))))))), 2'(2(1(0(1(2(z0)))))), 2'(1(0(1(2(z0))))), 1'(0(1(2(z0)))), 0'(1(2(z0))), 1'(2(z0)), 2'(z0)) 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2'(1(2(0(1(1(2(1(0(2(1(0(0(1(0(1(1(2(1(2(2(2(z0)))))))))))))))))))))), 1'(2(0(1(1(2(1(0(2(1(0(0(1(0(1(1(2(1(2(2(2(z0))))))))))))))))))))), 2'(0(1(1(2(1(0(2(1(0(0(1(0(1(1(2(1(2(2(2(z0)))))))))))))))))))), 0'(1(1(2(1(0(2(1(0(0(1(0(1(1(2(1(2(2(2(z0))))))))))))))))))), 1'(1(2(1(0(2(1(0(0(1(0(1(1(2(1(2(2(2(z0)))))))))))))))))), 1'(2(1(0(2(1(0(0(1(0(1(1(2(1(2(2(2(z0))))))))))))))))), 2'(1(0(2(1(0(0(1(0(1(1(2(1(2(2(2(z0)))))))))))))))), 1'(0(2(1(0(0(1(0(1(1(2(1(2(2(2(z0))))))))))))))), 0'(2(1(0(0(1(0(1(1(2(1(2(2(2(z0)))))))))))))), 2'(1(0(0(1(0(1(1(2(1(2(2(2(z0))))))))))))), 1'(0(0(1(0(1(1(2(1(2(2(2(z0)))))))))))), 0'(0(1(0(1(1(2(1(2(2(2(z0))))))))))), 0'(1(0(1(1(2(1(2(2(2(z0)))))))))), 1'(0(1(1(2(1(2(2(2(z0))))))))), 0'(1(1(2(1(2(2(2(z0)))))))), 1'(1(2(1(2(2(2(z0))))))), 1'(2(1(2(2(2(z0)))))), 2'(1(2(2(2(z0))))), 1'(2(2(2(z0)))), 2'(2(2(z0))), 2'(2(z0)), 2'(z0)) 2'(c_2(c_0(c_0(c_1(c_0(c_1(c_2(c_2(c_2(c_1(c_1(c_0(c_0(c_1(c_2(c_2(c_1(c_2(c_0(c_1(c_2(c_1(z0))))))))))))))))))))))) -> c45(2'(2(2(2(0(2(0(2(2(1(2(1(0(1(1(2(2(0(0(2(1(2(1(2(1(2(0(z0))))))))))))))))))))))))))), 2'(2(2(0(2(0(2(2(1(2(1(0(1(1(2(2(0(0(2(1(2(1(2(1(2(0(z0)))))))))))))))))))))))))), 2'(2(0(2(0(2(2(1(2(1(0(1(1(2(2(0(0(2(1(2(1(2(1(2(0(z0))))))))))))))))))))))))), 2'(0(2(0(2(2(1(2(1(0(1(1(2(2(0(0(2(1(2(1(2(1(2(0(z0)))))))))))))))))))))))), 0'(2(0(2(2(1(2(1(0(1(1(2(2(0(0(2(1(2(1(2(1(2(0(z0))))))))))))))))))))))), 2'(0(2(2(1(2(1(0(1(1(2(2(0(0(2(1(2(1(2(1(2(0(z0)))))))))))))))))))))), 0'(2(2(1(2(1(0(1(1(2(2(0(0(2(1(2(1(2(1(2(0(z0))))))))))))))))))))), 2'(2(1(2(1(0(1(1(2(2(0(0(2(1(2(1(2(1(2(0(z0)))))))))))))))))))), 2'(1(2(1(0(1(1(2(2(0(0(2(1(2(1(2(1(2(0(z0))))))))))))))))))), 1'(2(1(0(1(1(2(2(0(0(2(1(2(1(2(1(2(0(z0)))))))))))))))))), 2'(1(0(1(1(2(2(0(0(2(1(2(1(2(1(2(0(z0))))))))))))))))), 1'(0(1(1(2(2(0(0(2(1(2(1(2(1(2(0(z0)))))))))))))))), 0'(1(1(2(2(0(0(2(1(2(1(2(1(2(0(z0))))))))))))))), 1'(1(2(2(0(0(2(1(2(1(2(1(2(0(z0)))))))))))))), 1'(2(2(0(0(2(1(2(1(2(1(2(0(z0))))))))))))), 2'(2(0(0(2(1(2(1(2(1(2(0(z0)))))))))))), 2'(0(0(2(1(2(1(2(1(2(0(z0))))))))))), 0'(0(2(1(2(1(2(1(2(0(z0)))))))))), 0'(2(1(2(1(2(1(2(0(z0))))))))), 2'(1(2(1(2(1(2(0(z0)))))))), 1'(2(1(2(1(2(0(z0))))))), 2'(1(2(1(2(0(z0)))))), 1'(2(1(2(0(z0))))), 2'(1(2(0(z0)))), 1'(2(0(z0))), 2'(0(z0)), 0'(z0)) 2'(c_2(c_1(c_1(c_2(c_2(c_1(c_2(c_1(c_1(c_1(c_0(c_0(c_2(c_1(c_1(c_0(c_2(c_0(c_0(c_1(c_1(c_2(z0))))))))))))))))))))))) -> c46(2'(1(1(1(2(2(2(1(1(0(2(2(1(0(1(0(2(2(1(2(0(0(0(1(2(1(2(z0))))))))))))))))))))))))))), 1'(1(1(2(2(2(1(1(0(2(2(1(0(1(0(2(2(1(2(0(0(0(1(2(1(2(z0)))))))))))))))))))))))))), 1'(1(2(2(2(1(1(0(2(2(1(0(1(0(2(2(1(2(0(0(0(1(2(1(2(z0))))))))))))))))))))))))), 1'(2(2(2(1(1(0(2(2(1(0(1(0(2(2(1(2(0(0(0(1(2(1(2(z0)))))))))))))))))))))))), 2'(2(2(1(1(0(2(2(1(0(1(0(2(2(1(2(0(0(0(1(2(1(2(z0))))))))))))))))))))))), 2'(2(1(1(0(2(2(1(0(1(0(2(2(1(2(0(0(0(1(2(1(2(z0)))))))))))))))))))))), 2'(1(1(0(2(2(1(0(1(0(2(2(1(2(0(0(0(1(2(1(2(z0))))))))))))))))))))), 1'(1(0(2(2(1(0(1(0(2(2(1(2(0(0(0(1(2(1(2(z0)))))))))))))))))))), 1'(0(2(2(1(0(1(0(2(2(1(2(0(0(0(1(2(1(2(z0))))))))))))))))))), 0'(2(2(1(0(1(0(2(2(1(2(0(0(0(1(2(1(2(z0)))))))))))))))))), 2'(2(1(0(1(0(2(2(1(2(0(0(0(1(2(1(2(z0))))))))))))))))), 2'(1(0(1(0(2(2(1(2(0(0(0(1(2(1(2(z0)))))))))))))))), 1'(0(1(0(2(2(1(2(0(0(0(1(2(1(2(z0))))))))))))))), 0'(1(0(2(2(1(2(0(0(0(1(2(1(2(z0)))))))))))))), 1'(0(2(2(1(2(0(0(0(1(2(1(2(z0))))))))))))), 0'(2(2(1(2(0(0(0(1(2(1(2(z0)))))))))))), 2'(2(1(2(0(0(0(1(2(1(2(z0))))))))))), 2'(1(2(0(0(0(1(2(1(2(z0)))))))))), 1'(2(0(0(0(1(2(1(2(z0))))))))), 2'(0(0(0(1(2(1(2(z0)))))))), 0'(0(0(1(2(1(2(z0))))))), 0'(0(1(2(1(2(z0)))))), 0'(1(2(1(2(z0))))), 1'(2(1(2(z0)))), 2'(1(2(z0))), 1'(2(z0)), 2'(z0)) 2'(c_2(c_0(c_1(c_1(c_0(c_0(c_1(c_2(c_1(c_0(c_2(c_1(c_2(c_2(c_2(c_1(c_0(c_0(c_2(c_2(c_2(c_0(z0))))))))))))))))))))))) -> c47(2'(2(1(0(0(0(0(2(2(1(1(2(2(1(0(2(1(2(1(2(2(1(2(2(2(0(0(z0))))))))))))))))))))))))))), 2'(1(0(0(0(0(2(2(1(1(2(2(1(0(2(1(2(1(2(2(1(2(2(2(0(0(z0)))))))))))))))))))))))))), 1'(0(0(0(0(2(2(1(1(2(2(1(0(2(1(2(1(2(2(1(2(2(2(0(0(z0))))))))))))))))))))))))), 0'(0(0(0(2(2(1(1(2(2(1(0(2(1(2(1(2(2(1(2(2(2(0(0(z0)))))))))))))))))))))))), 0'(0(0(2(2(1(1(2(2(1(0(2(1(2(1(2(2(1(2(2(2(0(0(z0))))))))))))))))))))))), 0'(0(2(2(1(1(2(2(1(0(2(1(2(1(2(2(1(2(2(2(0(0(z0)))))))))))))))))))))), 0'(2(2(1(1(2(2(1(0(2(1(2(1(2(2(1(2(2(2(0(0(z0))))))))))))))))))))), 2'(2(1(1(2(2(1(0(2(1(2(1(2(2(1(2(2(2(0(0(z0)))))))))))))))))))), 2'(1(1(2(2(1(0(2(1(2(1(2(2(1(2(2(2(0(0(z0))))))))))))))))))), 1'(1(2(2(1(0(2(1(2(1(2(2(1(2(2(2(0(0(z0)))))))))))))))))), 1'(2(2(1(0(2(1(2(1(2(2(1(2(2(2(0(0(z0))))))))))))))))), 2'(2(1(0(2(1(2(1(2(2(1(2(2(2(0(0(z0)))))))))))))))), 2'(1(0(2(1(2(1(2(2(1(2(2(2(0(0(z0))))))))))))))), 1'(0(2(1(2(1(2(2(1(2(2(2(0(0(z0)))))))))))))), 0'(2(1(2(1(2(2(1(2(2(2(0(0(z0))))))))))))), 2'(1(2(1(2(2(1(2(2(2(0(0(z0)))))))))))), 1'(2(1(2(2(1(2(2(2(0(0(z0))))))))))), 2'(1(2(2(1(2(2(2(0(0(z0)))))))))), 1'(2(2(1(2(2(2(0(0(z0))))))))), 2'(2(1(2(2(2(0(0(z0)))))))), 2'(1(2(2(2(0(0(z0))))))), 1'(2(2(2(0(0(z0)))))), 2'(2(2(0(0(z0))))), 2'(2(0(0(z0)))), 2'(0(0(z0))), 0'(0(z0)), 0'(z0)) 2'(c_1(c_2(c_1(c_0(c_2(c_1(c_2(c_0(c_0(c_0(c_0(c_2(c_0(c_0(c_0(c_2(c_2(c_0(c_0(c_0(c_0(c_1(z0))))))))))))))))))))))) -> c48(2'(1(2(1(2(0(0(2(1(0(0(2(2(0(1(0(2(1(2(1(2(2(1(2(1(1(2(z0))))))))))))))))))))))))))), 1'(2(1(2(0(0(2(1(0(0(2(2(0(1(0(2(1(2(1(2(2(1(2(1(1(2(z0)))))))))))))))))))))))))), 2'(1(2(0(0(2(1(0(0(2(2(0(1(0(2(1(2(1(2(2(1(2(1(1(2(z0))))))))))))))))))))))))), 1'(2(0(0(2(1(0(0(2(2(0(1(0(2(1(2(1(2(2(1(2(1(1(2(z0)))))))))))))))))))))))), 2'(0(0(2(1(0(0(2(2(0(1(0(2(1(2(1(2(2(1(2(1(1(2(z0))))))))))))))))))))))), 0'(0(2(1(0(0(2(2(0(1(0(2(1(2(1(2(2(1(2(1(1(2(z0)))))))))))))))))))))), 0'(2(1(0(0(2(2(0(1(0(2(1(2(1(2(2(1(2(1(1(2(z0))))))))))))))))))))), 2'(1(0(0(2(2(0(1(0(2(1(2(1(2(2(1(2(1(1(2(z0)))))))))))))))))))), 1'(0(0(2(2(0(1(0(2(1(2(1(2(2(1(2(1(1(2(z0))))))))))))))))))), 0'(0(2(2(0(1(0(2(1(2(1(2(2(1(2(1(1(2(z0)))))))))))))))))), 0'(2(2(0(1(0(2(1(2(1(2(2(1(2(1(1(2(z0))))))))))))))))), 2'(2(0(1(0(2(1(2(1(2(2(1(2(1(1(2(z0)))))))))))))))), 2'(0(1(0(2(1(2(1(2(2(1(2(1(1(2(z0))))))))))))))), 0'(1(0(2(1(2(1(2(2(1(2(1(1(2(z0)))))))))))))), 1'(0(2(1(2(1(2(2(1(2(1(1(2(z0))))))))))))), 0'(2(1(2(1(2(2(1(2(1(1(2(z0)))))))))))), 2'(1(2(1(2(2(1(2(1(1(2(z0))))))))))), 1'(2(1(2(2(1(2(1(1(2(z0)))))))))), 2'(1(2(2(1(2(1(1(2(z0))))))))), 1'(2(2(1(2(1(1(2(z0)))))))), 2'(2(1(2(1(1(2(z0))))))), 2'(1(2(1(1(2(z0)))))), 1'(2(1(1(2(z0))))), 2'(1(1(2(z0)))), 1'(1(2(z0))), 1'(2(z0)), 2'(z0)) K tuples:none Defined Rule Symbols: 1_1, 2_1, 0_1, encArg_1, encode_0_1, encode_1_1, encode_2_1 Defined Pair Symbols: ENCARG_1, ENCODE_0_1, ENCODE_1_1, ENCODE_2_1, 0'_1, 1'_1, 2'_1 Compound Symbols: c_2, c1_2, c2_2, c3_2, c4_2, c5_2, c6, c7_27, c8_27, c9_27, c10_27, c11_27, c12_27, c13_27, c14_27, c15_27, c16_27, c17, c18_27, c19_27, c20_27, c21_27, c22_27, c23_27, c24_27, c25_27, c26_27, c27_27, c28_27, c29, c30_27, c31_27, c32_27, c33_27, c34_27, c35_27, c36_27, c37_27, c38_27, c39_27, c40_27, c41_27, c42_27, c43_27, c44_27, c45_27, c46_27, c47_27, c48_27 ---------------------------------------- (41) CdtLeafRemovalProof (BOTH BOUNDS(ID, ID)) Removed 3 trailing nodes: 0'(z0) -> c6 1'(z0) -> c17 2'(z0) -> c29 ---------------------------------------- (42) Obligation: Complexity Dependency Tuples Problem Rules: encArg(cons_0(z0)) -> 0(encArg(z0)) encArg(cons_1(z0)) -> 1(encArg(z0)) encArg(cons_2(z0)) -> 2(encArg(z0)) encode_0(z0) -> 0(encArg(z0)) encode_1(z0) -> 1(encArg(z0)) encode_2(z0) -> 2(encArg(z0)) 0(z0) -> c_0(z0) 0(c_0(c_2(c_0(c_2(c_2(c_1(c_2(c_1(c_1(c_2(c_1(c_1(c_2(c_1(c_0(c_0(c_0(c_0(c_1(c_1(c_2(c_1(z0))))))))))))))))))))))) -> 0(0(1(2(2(1(1(2(2(1(1(2(2(2(2(0(1(2(1(2(1(1(1(0(1(2(2(z0))))))))))))))))))))))))))) 0(c_1(c_1(c_1(c_2(c_2(c_1(c_0(c_0(c_2(c_2(c_2(c_2(c_0(c_2(c_0(c_0(c_0(c_0(c_1(c_0(c_0(c_2(z0))))))))))))))))))))))) -> 0(2(1(1(1(1(2(2(1(1(0(1(1(2(1(2(1(0(0(1(2(2(1(0(0(2(2(z0))))))))))))))))))))))))))) 0(c_1(c_1(c_0(c_1(c_1(c_1(c_2(c_2(c_0(c_2(c_0(c_1(c_2(c_2(c_2(c_0(c_1(c_2(c_0(c_1(c_0(c_2(z0))))))))))))))))))))))) -> 0(2(0(1(0(2(0(2(2(2(1(2(1(1(2(2(2(2(2(2(2(1(0(0(0(2(2(z0))))))))))))))))))))))))))) 0(c_1(c_0(c_0(c_1(c_2(c_2(c_1(c_0(c_1(c_2(c_1(c_2(c_0(c_1(c_0(c_2(c_2(c_0(c_1(c_2(c_1(c_0(z0))))))))))))))))))))))) -> 0(0(0(1(2(2(2(2(2(2(2(0(0(0(0(1(2(1(2(2(2(1(0(2(0(2(0(z0))))))))))))))))))))))))))) 0(c_0(c_1(c_2(c_0(c_1(c_0(c_0(c_2(c_0(c_1(c_1(c_0(c_1(c_2(c_1(c_1(c_2(c_2(c_1(c_1(c_0(c_2(z0))))))))))))))))))))))) -> 0(2(2(2(0(1(1(2(1(2(2(1(2(1(0(2(2(2(1(2(1(1(0(0(1(0(2(z0))))))))))))))))))))))))))) 0(c_1(c_1(c_1(c_1(c_2(c_1(c_1(c_2(c_2(c_0(c_1(c_0(c_1(c_1(c_0(c_2(c_0(c_0(c_2(c_0(c_1(c_0(z0))))))))))))))))))))))) -> 2(2(2(2(2(1(0(1(2(2(0(1(1(1(2(2(1(1(0(0(0(0(2(2(1(2(2(z0))))))))))))))))))))))))))) 0(c_1(c_2(c_1(c_1(c_2(c_2(c_2(c_1(c_1(c_0(c_0(c_1(c_0(c_2(c_0(c_2(c_2(c_1(c_0(c_2(c_1(c_1(z0))))))))))))))))))))))) -> 2(1(2(1(2(1(2(2(0(2(0(1(2(1(2(1(2(0(1(2(0(0(2(2(1(1(2(z0))))))))))))))))))))))))))) 0(c_0(c_1(c_0(c_2(c_2(c_1(c_2(c_0(c_0(c_1(c_2(c_0(c_2(c_2(c_2(c_1(c_1(c_2(c_0(c_0(c_2(c_1(z0))))))))))))))))))))))) -> 0(1(1(1(0(2(1(2(1(2(0(1(1(2(1(1(2(2(2(2(2(0(2(2(2(1(2(z0))))))))))))))))))))))))))) 0(c_0(c_0(c_0(c_1(c_0(c_0(c_2(c_2(c_1(c_0(c_2(c_0(c_2(c_1(c_1(c_2(c_1(c_2(c_2(c_0(c_1(c_1(z0))))))))))))))))))))))) -> 0(1(2(0(0(2(1(2(2(1(1(2(1(1(1(1(2(2(2(1(2(1(0(2(1(1(0(z0))))))))))))))))))))))))))) 0(c_0(c_0(c_2(c_2(c_0(c_2(c_2(c_2(c_1(c_1(c_0(c_2(c_2(c_1(c_2(c_1(c_0(c_2(c_0(c_0(c_0(c_1(z0))))))))))))))))))))))) -> 2(0(1(1(1(2(2(1(1(2(2(2(2(1(0(1(2(1(1(2(2(2(1(2(1(2(2(z0))))))))))))))))))))))))))) 1(z0) -> c_1(z0) 1(c_2(c_0(c_0(c_2(c_0(c_1(c_2(c_2(c_0(c_2(c_1(c_2(c_1(c_2(c_0(c_1(c_0(c_1(c_2(c_0(c_2(c_1(z0))))))))))))))))))))))) -> 1(2(2(0(2(1(2(2(0(1(0(2(1(0(1(2(1(2(2(2(2(0(2(2(0(2(0(z0))))))))))))))))))))))))))) 1(c_1(c_0(c_2(c_1(c_2(c_2(c_2(c_2(c_1(c_0(c_1(c_2(c_0(c_1(c_2(c_1(c_1(c_0(c_2(c_1(c_2(c_0(z0))))))))))))))))))))))) -> 2(2(1(2(1(2(2(1(0(1(2(2(2(1(0(2(1(1(2(1(0(1(1(1(2(2(2(z0))))))))))))))))))))))))))) 1(c_1(c_0(c_1(c_2(c_2(c_2(c_2(c_1(c_0(c_2(c_1(c_2(c_0(c_0(c_0(c_1(c_0(c_2(c_1(c_1(c_1(c_2(z0))))))))))))))))))))))) -> 2(1(2(1(2(2(2(2(2(0(0(0(0(2(1(2(2(2(2(1(2(2(2(0(0(2(2(z0))))))))))))))))))))))))))) 1(c_1(c_2(c_2(c_1(c_0(c_2(c_0(c_1(c_1(c_2(c_2(c_2(c_1(c_0(c_1(c_0(c_0(c_2(c_1(c_1(c_0(c_2(z0))))))))))))))))))))))) -> 2(2(2(1(1(2(2(2(1(2(2(0(0(2(0(0(1(2(0(2(2(1(2(2(2(0(2(z0))))))))))))))))))))))))))) 1(c_0(c_1(c_0(c_2(c_2(c_2(c_2(c_1(c_0(c_0(c_2(c_0(c_2(c_1(c_2(c_1(c_2(c_1(c_1(c_2(c_0(c_2(z0))))))))))))))))))))))) -> 2(1(2(0(2(0(2(0(2(2(2(2(1(2(1(2(2(2(1(1(2(1(0(1(1(2(2(z0))))))))))))))))))))))))))) 1(c_1(c_1(c_0(c_2(c_2(c_1(c_1(c_1(c_2(c_2(c_0(c_2(c_0(c_2(c_1(c_1(c_2(c_1(c_2(c_1(c_2(c_2(z0))))))))))))))))))))))) -> 1(2(1(2(1(1(1(1(2(1(1(1(2(2(0(1(0(2(2(1(2(2(2(1(0(1(2(z0))))))))))))))))))))))))))) 1(c_0(c_0(c_1(c_0(c_1(c_1(c_0(c_2(c_1(c_1(c_2(c_1(c_2(c_1(c_2(c_0(c_1(c_2(c_2(c_1(c_2(c_1(z0))))))))))))))))))))))) -> 1(2(0(0(1(1(2(2(1(2(0(2(2(0(1(1(2(2(2(1(2(2(2(2(2(1(2(z0))))))))))))))))))))))))))) 1(c_2(c_2(c_2(c_1(c_1(c_0(c_0(c_2(c_2(c_2(c_0(c_0(c_0(c_2(c_1(c_2(c_2(c_0(c_2(c_0(c_2(c_0(z0))))))))))))))))))))))) -> 1(2(1(2(0(0(1(1(1(2(2(2(2(1(2(2(2(0(2(0(1(2(2(2(2(0(0(z0))))))))))))))))))))))))))) 1(c_2(c_0(c_2(c_1(c_2(c_2(c_1(c_2(c_2(c_2(c_0(c_1(c_1(c_1(c_1(c_0(c_1(c_0(c_0(c_2(c_0(c_1(z0))))))))))))))))))))))) -> 1(2(1(2(1(2(2(2(2(2(2(0(0(2(0(0(2(2(0(1(1(1(1(0(0(2(1(z0))))))))))))))))))))))))))) 1(c_1(c_0(c_2(c_1(c_0(c_2(c_0(c_1(c_2(c_0(c_2(c_0(c_0(c_2(c_1(c_0(c_1(c_0(c_1(c_2(c_1(c_2(z0))))))))))))))))))))))) -> 2(0(2(2(1(1(1(2(2(0(1(2(0(2(1(1(2(1(0(0(2(0(1(2(2(2(2(z0))))))))))))))))))))))))))) 1(c_1(c_0(c_0(c_1(c_1(c_1(c_2(c_2(c_2(c_1(c_2(c_1(c_0(c_0(c_0(c_2(c_2(c_2(c_0(c_1(c_2(c_0(z0))))))))))))))))))))))) -> 2(1(2(1(2(2(2(1(2(2(0(2(2(1(0(2(1(2(2(0(1(0(1(1(2(2(2(z0))))))))))))))))))))))))))) 2(z0) -> c_2(z0) 2(c_2(c_1(c_1(c_1(c_0(c_0(c_2(c_1(c_0(c_2(c_1(c_2(c_0(c_0(c_2(c_1(c_0(c_1(c_1(c_2(c_2(c_1(z0))))))))))))))))))))))) -> 2(1(2(2(0(1(2(1(1(0(1(2(1(0(0(1(2(2(1(2(1(0(2(1(2(2(1(z0))))))))))))))))))))))))))) 2(c_2(c_1(c_1(c_2(c_0(c_0(c_2(c_2(c_2(c_2(c_1(c_1(c_1(c_1(c_1(c_2(c_1(c_2(c_0(c_0(c_1(c_1(z0))))))))))))))))))))))) -> 2(2(1(1(2(2(1(2(1(2(2(0(0(0(2(1(0(2(2(1(2(2(0(1(1(2(2(z0))))))))))))))))))))))))))) 2(c_1(c_0(c_1(c_0(c_0(c_2(c_2(c_2(c_0(c_1(c_0(c_0(c_2(c_0(c_0(c_1(c_2(c_0(c_2(c_2(c_2(c_0(z0))))))))))))))))))))))) -> 2(1(1(2(0(1(2(0(0(2(0(1(2(2(1(1(1(2(2(2(0(0(1(1(0(2(0(z0))))))))))))))))))))))))))) 2(c_0(c_2(c_0(c_1(c_0(c_1(c_1(c_2(c_0(c_1(c_1(c_2(c_2(c_1(c_0(c_2(c_0(c_2(c_0(c_2(c_2(c_2(z0))))))))))))))))))))))) -> 2(0(0(1(1(2(0(2(2(1(1(2(2(0(1(2(2(2(0(0(2(0(2(2(2(0(2(z0))))))))))))))))))))))))))) 2(c_2(c_0(c_1(c_2(c_2(c_2(c_0(c_2(c_2(c_2(c_0(c_2(c_2(c_2(c_2(c_1(c_0(c_1(c_0(c_0(c_1(c_0(z0))))))))))))))))))))))) -> 2(2(0(1(1(2(2(2(1(1(2(1(0(0(1(2(2(1(2(1(0(2(2(0(0(2(0(z0))))))))))))))))))))))))))) 2(c_2(c_1(c_1(c_1(c_2(c_0(c_1(c_1(c_2(c_2(c_0(c_1(c_1(c_1(c_1(c_1(c_2(c_2(c_2(c_0(c_2(c_1(z0))))))))))))))))))))))) -> 1(2(1(2(2(1(1(1(1(2(2(2(1(2(0(0(0(1(2(0(0(1(2(2(2(2(2(z0))))))))))))))))))))))))))) 2(c_1(c_1(c_0(c_2(c_2(c_2(c_0(c_1(c_2(c_1(c_1(c_0(c_1(c_2(c_0(c_0(c_1(c_1(c_1(c_1(c_2(c_2(z0))))))))))))))))))))))) -> 2(0(0(2(1(0(0(0(0(0(1(2(1(1(2(1(1(2(1(2(2(0(1(1(1(2(2(z0))))))))))))))))))))))))))) 2(c_2(c_1(c_2(c_1(c_2(c_2(c_2(c_0(c_1(c_2(c_1(c_2(c_2(c_2(c_2(c_1(c_1(c_0(c_1(c_0(c_1(c_0(z0))))))))))))))))))))))) -> 1(2(1(2(1(2(0(1(2(2(0(1(1(1(2(2(1(1(1(2(2(0(1(0(1(2(2(z0))))))))))))))))))))))))))) 2(c_0(c_2(c_0(c_1(c_2(c_2(c_0(c_0(c_2(c_2(c_2(c_1(c_1(c_1(c_2(c_1(c_0(c_2(c_0(c_2(c_2(c_0(z0))))))))))))))))))))))) -> 2(1(1(1(2(2(0(0(0(2(1(0(0(0(1(1(0(2(2(0(2(2(2(2(2(2(0(z0))))))))))))))))))))))))))) 2(c_2(c_0(c_0(c_2(c_1(c_2(c_0(c_1(c_2(c_0(c_2(c_1(c_0(c_1(c_1(c_2(c_2(c_1(c_0(c_1(c_0(c_2(z0))))))))))))))))))))))) -> 2(2(2(2(1(2(1(2(0(2(2(2(2(2(0(1(2(0(2(1(0(0(0(2(0(2(2(z0))))))))))))))))))))))))))) 2(c_2(c_2(c_0(c_0(c_1(c_0(c_0(c_2(c_0(c_0(c_2(c_1(c_1(c_2(c_1(c_0(c_1(c_2(c_2(c_2(c_1(c_0(z0))))))))))))))))))))))) -> 1(2(2(2(2(0(1(2(1(2(0(1(2(1(2(1(0(1(0(1(0(1(1(2(2(1(0(z0))))))))))))))))))))))))))) 2(c_1(c_0(c_1(c_1(c_2(c_0(c_0(c_2(c_1(c_0(c_0(c_0(c_1(c_2(c_1(c_1(c_2(c_0(c_2(c_1(c_2(c_1(z0))))))))))))))))))))))) -> 2(0(2(2(0(0(2(2(1(1(1(2(0(1(0(1(2(2(2(2(2(0(0(0(2(2(1(z0))))))))))))))))))))))))))) 2(c_2(c_1(c_2(c_2(c_0(c_0(c_2(c_1(c_1(c_0(c_2(c_2(c_0(c_2(c_2(c_0(c_2(c_2(c_1(c_2(c_0(c_2(z0))))))))))))))))))))))) -> 1(2(1(1(1(2(2(2(1(2(1(0(2(1(1(1(1(2(2(0(0(1(1(0(2(1(2(z0))))))))))))))))))))))))))) 2(c_2(c_0(c_0(c_1(c_2(c_1(c_1(c_2(c_1(c_0(c_0(c_0(c_0(c_0(c_2(c_1(c_2(c_1(c_1(c_2(c_0(c_2(z0))))))))))))))))))))))) -> 2(1(1(2(2(2(2(1(2(1(0(0(2(1(0(2(2(0(1(1(0(2(0(0(0(0(2(z0))))))))))))))))))))))))))) 2(c_0(c_1(c_0(c_0(c_0(c_1(c_0(c_0(c_0(c_0(c_0(c_0(c_0(c_1(c_0(c_2(c_0(c_0(c_2(c_2(c_2(c_2(z0))))))))))))))))))))))) -> 2(2(2(1(1(2(1(2(0(1(1(2(1(0(2(1(0(0(1(0(1(1(2(1(2(2(2(z0))))))))))))))))))))))))))) 2(c_2(c_0(c_0(c_1(c_0(c_1(c_2(c_2(c_2(c_1(c_1(c_0(c_0(c_1(c_2(c_2(c_1(c_2(c_0(c_1(c_2(c_1(z0))))))))))))))))))))))) -> 2(2(2(2(0(2(0(2(2(1(2(1(0(1(1(2(2(0(0(2(1(2(1(2(1(2(0(z0))))))))))))))))))))))))))) 2(c_2(c_1(c_1(c_2(c_2(c_1(c_2(c_1(c_1(c_1(c_0(c_0(c_2(c_1(c_1(c_0(c_2(c_0(c_0(c_1(c_1(c_2(z0))))))))))))))))))))))) -> 2(1(1(1(2(2(2(1(1(0(2(2(1(0(1(0(2(2(1(2(0(0(0(1(2(1(2(z0))))))))))))))))))))))))))) 2(c_2(c_0(c_1(c_1(c_0(c_0(c_1(c_2(c_1(c_0(c_2(c_1(c_2(c_2(c_2(c_1(c_0(c_0(c_2(c_2(c_2(c_0(z0))))))))))))))))))))))) -> 2(2(1(0(0(0(0(2(2(1(1(2(2(1(0(2(1(2(1(2(2(1(2(2(2(0(0(z0))))))))))))))))))))))))))) 2(c_1(c_2(c_1(c_0(c_2(c_1(c_2(c_0(c_0(c_0(c_0(c_2(c_0(c_0(c_0(c_2(c_2(c_0(c_0(c_0(c_0(c_1(z0))))))))))))))))))))))) -> 2(1(2(1(2(0(0(2(1(0(0(2(2(0(1(0(2(1(2(1(2(2(1(2(1(1(2(z0))))))))))))))))))))))))))) Tuples: ENCARG(cons_0(z0)) -> c(0'(encArg(z0)), ENCARG(z0)) ENCARG(cons_1(z0)) -> c1(1'(encArg(z0)), ENCARG(z0)) ENCARG(cons_2(z0)) -> c2(2'(encArg(z0)), ENCARG(z0)) ENCODE_0(z0) -> c3(0'(encArg(z0)), ENCARG(z0)) ENCODE_1(z0) -> c4(1'(encArg(z0)), ENCARG(z0)) ENCODE_2(z0) -> c5(2'(encArg(z0)), ENCARG(z0)) 0'(c_0(c_2(c_0(c_2(c_2(c_1(c_2(c_1(c_1(c_2(c_1(c_1(c_2(c_1(c_0(c_0(c_0(c_0(c_1(c_1(c_2(c_1(z0))))))))))))))))))))))) -> c7(0'(0(1(2(2(1(1(2(2(1(1(2(2(2(2(0(1(2(1(2(1(1(1(0(1(2(2(z0))))))))))))))))))))))))))), 0'(1(2(2(1(1(2(2(1(1(2(2(2(2(0(1(2(1(2(1(1(1(0(1(2(2(z0)))))))))))))))))))))))))), 1'(2(2(1(1(2(2(1(1(2(2(2(2(0(1(2(1(2(1(1(1(0(1(2(2(z0))))))))))))))))))))))))), 2'(2(1(1(2(2(1(1(2(2(2(2(0(1(2(1(2(1(1(1(0(1(2(2(z0)))))))))))))))))))))))), 2'(1(1(2(2(1(1(2(2(2(2(0(1(2(1(2(1(1(1(0(1(2(2(z0))))))))))))))))))))))), 1'(1(2(2(1(1(2(2(2(2(0(1(2(1(2(1(1(1(0(1(2(2(z0)))))))))))))))))))))), 1'(2(2(1(1(2(2(2(2(0(1(2(1(2(1(1(1(0(1(2(2(z0))))))))))))))))))))), 2'(2(1(1(2(2(2(2(0(1(2(1(2(1(1(1(0(1(2(2(z0)))))))))))))))))))), 2'(1(1(2(2(2(2(0(1(2(1(2(1(1(1(0(1(2(2(z0))))))))))))))))))), 1'(1(2(2(2(2(0(1(2(1(2(1(1(1(0(1(2(2(z0)))))))))))))))))), 1'(2(2(2(2(0(1(2(1(2(1(1(1(0(1(2(2(z0))))))))))))))))), 2'(2(2(2(0(1(2(1(2(1(1(1(0(1(2(2(z0)))))))))))))))), 2'(2(2(0(1(2(1(2(1(1(1(0(1(2(2(z0))))))))))))))), 2'(2(0(1(2(1(2(1(1(1(0(1(2(2(z0)))))))))))))), 2'(0(1(2(1(2(1(1(1(0(1(2(2(z0))))))))))))), 0'(1(2(1(2(1(1(1(0(1(2(2(z0)))))))))))), 1'(2(1(2(1(1(1(0(1(2(2(z0))))))))))), 2'(1(2(1(1(1(0(1(2(2(z0)))))))))), 1'(2(1(1(1(0(1(2(2(z0))))))))), 2'(1(1(1(0(1(2(2(z0)))))))), 1'(1(1(0(1(2(2(z0))))))), 1'(1(0(1(2(2(z0)))))), 1'(0(1(2(2(z0))))), 0'(1(2(2(z0)))), 1'(2(2(z0))), 2'(2(z0)), 2'(z0)) 0'(c_1(c_1(c_1(c_2(c_2(c_1(c_0(c_0(c_2(c_2(c_2(c_2(c_0(c_2(c_0(c_0(c_0(c_0(c_1(c_0(c_0(c_2(z0))))))))))))))))))))))) -> c8(0'(2(1(1(1(1(2(2(1(1(0(1(1(2(1(2(1(0(0(1(2(2(1(0(0(2(2(z0))))))))))))))))))))))))))), 2'(1(1(1(1(2(2(1(1(0(1(1(2(1(2(1(0(0(1(2(2(1(0(0(2(2(z0)))))))))))))))))))))))))), 1'(1(1(1(2(2(1(1(0(1(1(2(1(2(1(0(0(1(2(2(1(0(0(2(2(z0))))))))))))))))))))))))), 1'(1(1(2(2(1(1(0(1(1(2(1(2(1(0(0(1(2(2(1(0(0(2(2(z0)))))))))))))))))))))))), 1'(1(2(2(1(1(0(1(1(2(1(2(1(0(0(1(2(2(1(0(0(2(2(z0))))))))))))))))))))))), 1'(2(2(1(1(0(1(1(2(1(2(1(0(0(1(2(2(1(0(0(2(2(z0)))))))))))))))))))))), 2'(2(1(1(0(1(1(2(1(2(1(0(0(1(2(2(1(0(0(2(2(z0))))))))))))))))))))), 2'(1(1(0(1(1(2(1(2(1(0(0(1(2(2(1(0(0(2(2(z0)))))))))))))))))))), 1'(1(0(1(1(2(1(2(1(0(0(1(2(2(1(0(0(2(2(z0))))))))))))))))))), 1'(0(1(1(2(1(2(1(0(0(1(2(2(1(0(0(2(2(z0)))))))))))))))))), 0'(1(1(2(1(2(1(0(0(1(2(2(1(0(0(2(2(z0))))))))))))))))), 1'(1(2(1(2(1(0(0(1(2(2(1(0(0(2(2(z0)))))))))))))))), 1'(2(1(2(1(0(0(1(2(2(1(0(0(2(2(z0))))))))))))))), 2'(1(2(1(0(0(1(2(2(1(0(0(2(2(z0)))))))))))))), 1'(2(1(0(0(1(2(2(1(0(0(2(2(z0))))))))))))), 2'(1(0(0(1(2(2(1(0(0(2(2(z0)))))))))))), 1'(0(0(1(2(2(1(0(0(2(2(z0))))))))))), 0'(0(1(2(2(1(0(0(2(2(z0)))))))))), 0'(1(2(2(1(0(0(2(2(z0))))))))), 1'(2(2(1(0(0(2(2(z0)))))))), 2'(2(1(0(0(2(2(z0))))))), 2'(1(0(0(2(2(z0)))))), 1'(0(0(2(2(z0))))), 0'(0(2(2(z0)))), 0'(2(2(z0))), 2'(2(z0)), 2'(z0)) 0'(c_1(c_1(c_0(c_1(c_1(c_1(c_2(c_2(c_0(c_2(c_0(c_1(c_2(c_2(c_2(c_0(c_1(c_2(c_0(c_1(c_0(c_2(z0))))))))))))))))))))))) -> 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c19(2'(2(1(2(1(2(2(1(0(1(2(2(2(1(0(2(1(1(2(1(0(1(1(1(2(2(2(z0))))))))))))))))))))))))))), 2'(1(2(1(2(2(1(0(1(2(2(2(1(0(2(1(1(2(1(0(1(1(1(2(2(2(z0)))))))))))))))))))))))))), 1'(2(1(2(2(1(0(1(2(2(2(1(0(2(1(1(2(1(0(1(1(1(2(2(2(z0))))))))))))))))))))))))), 2'(1(2(2(1(0(1(2(2(2(1(0(2(1(1(2(1(0(1(1(1(2(2(2(z0)))))))))))))))))))))))), 1'(2(2(1(0(1(2(2(2(1(0(2(1(1(2(1(0(1(1(1(2(2(2(z0))))))))))))))))))))))), 2'(2(1(0(1(2(2(2(1(0(2(1(1(2(1(0(1(1(1(2(2(2(z0)))))))))))))))))))))), 2'(1(0(1(2(2(2(1(0(2(1(1(2(1(0(1(1(1(2(2(2(z0))))))))))))))))))))), 1'(0(1(2(2(2(1(0(2(1(1(2(1(0(1(1(1(2(2(2(z0)))))))))))))))))))), 0'(1(2(2(2(1(0(2(1(1(2(1(0(1(1(1(2(2(2(z0))))))))))))))))))), 1'(2(2(2(1(0(2(1(1(2(1(0(1(1(1(2(2(2(z0)))))))))))))))))), 2'(2(2(1(0(2(1(1(2(1(0(1(1(1(2(2(2(z0))))))))))))))))), 2'(2(1(0(2(1(1(2(1(0(1(1(1(2(2(2(z0)))))))))))))))), 2'(1(0(2(1(1(2(1(0(1(1(1(2(2(2(z0))))))))))))))), 1'(0(2(1(1(2(1(0(1(1(1(2(2(2(z0)))))))))))))), 0'(2(1(1(2(1(0(1(1(1(2(2(2(z0))))))))))))), 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c24(1'(2(0(0(1(1(2(2(1(2(0(2(2(0(1(1(2(2(2(1(2(2(2(2(2(1(2(z0))))))))))))))))))))))))))), 2'(0(0(1(1(2(2(1(2(0(2(2(0(1(1(2(2(2(1(2(2(2(2(2(1(2(z0)))))))))))))))))))))))))), 0'(0(1(1(2(2(1(2(0(2(2(0(1(1(2(2(2(1(2(2(2(2(2(1(2(z0))))))))))))))))))))))))), 0'(1(1(2(2(1(2(0(2(2(0(1(1(2(2(2(1(2(2(2(2(2(1(2(z0)))))))))))))))))))))))), 1'(1(2(2(1(2(0(2(2(0(1(1(2(2(2(1(2(2(2(2(2(1(2(z0))))))))))))))))))))))), 1'(2(2(1(2(0(2(2(0(1(1(2(2(2(1(2(2(2(2(2(1(2(z0)))))))))))))))))))))), 2'(2(1(2(0(2(2(0(1(1(2(2(2(1(2(2(2(2(2(1(2(z0))))))))))))))))))))), 2'(1(2(0(2(2(0(1(1(2(2(2(1(2(2(2(2(2(1(2(z0)))))))))))))))))))), 1'(2(0(2(2(0(1(1(2(2(2(1(2(2(2(2(2(1(2(z0))))))))))))))))))), 2'(0(2(2(0(1(1(2(2(2(1(2(2(2(2(2(1(2(z0)))))))))))))))))), 0'(2(2(0(1(1(2(2(2(1(2(2(2(2(2(1(2(z0))))))))))))))))), 2'(2(0(1(1(2(2(2(1(2(2(2(2(2(1(2(z0)))))))))))))))), 2'(0(1(1(2(2(2(1(2(2(2(2(2(1(2(z0))))))))))))))), 0'(1(1(2(2(2(1(2(2(2(2(2(1(2(z0)))))))))))))), 1'(1(2(2(2(1(2(2(2(2(2(1(2(z0))))))))))))), 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2'(0(1(1(2(1(0(2(1(0(0(1(0(1(1(2(1(2(2(2(z0)))))))))))))))))))), 0'(1(1(2(1(0(2(1(0(0(1(0(1(1(2(1(2(2(2(z0))))))))))))))))))), 1'(1(2(1(0(2(1(0(0(1(0(1(1(2(1(2(2(2(z0)))))))))))))))))), 1'(2(1(0(2(1(0(0(1(0(1(1(2(1(2(2(2(z0))))))))))))))))), 2'(1(0(2(1(0(0(1(0(1(1(2(1(2(2(2(z0)))))))))))))))), 1'(0(2(1(0(0(1(0(1(1(2(1(2(2(2(z0))))))))))))))), 0'(2(1(0(0(1(0(1(1(2(1(2(2(2(z0)))))))))))))), 2'(1(0(0(1(0(1(1(2(1(2(2(2(z0))))))))))))), 1'(0(0(1(0(1(1(2(1(2(2(2(z0)))))))))))), 0'(0(1(0(1(1(2(1(2(2(2(z0))))))))))), 0'(1(0(1(1(2(1(2(2(2(z0)))))))))), 1'(0(1(1(2(1(2(2(2(z0))))))))), 0'(1(1(2(1(2(2(2(z0)))))))), 1'(1(2(1(2(2(2(z0))))))), 1'(2(1(2(2(2(z0)))))), 2'(1(2(2(2(z0))))), 1'(2(2(2(z0)))), 2'(2(2(z0))), 2'(2(z0)), 2'(z0)) 2'(c_2(c_0(c_0(c_1(c_0(c_1(c_2(c_2(c_2(c_1(c_1(c_0(c_0(c_1(c_2(c_2(c_1(c_2(c_0(c_1(c_2(c_1(z0))))))))))))))))))))))) -> c45(2'(2(2(2(0(2(0(2(2(1(2(1(0(1(1(2(2(0(0(2(1(2(1(2(1(2(0(z0))))))))))))))))))))))))))), 2'(2(2(0(2(0(2(2(1(2(1(0(1(1(2(2(0(0(2(1(2(1(2(1(2(0(z0)))))))))))))))))))))))))), 2'(2(0(2(0(2(2(1(2(1(0(1(1(2(2(0(0(2(1(2(1(2(1(2(0(z0))))))))))))))))))))))))), 2'(0(2(0(2(2(1(2(1(0(1(1(2(2(0(0(2(1(2(1(2(1(2(0(z0)))))))))))))))))))))))), 0'(2(0(2(2(1(2(1(0(1(1(2(2(0(0(2(1(2(1(2(1(2(0(z0))))))))))))))))))))))), 2'(0(2(2(1(2(1(0(1(1(2(2(0(0(2(1(2(1(2(1(2(0(z0)))))))))))))))))))))), 0'(2(2(1(2(1(0(1(1(2(2(0(0(2(1(2(1(2(1(2(0(z0))))))))))))))))))))), 2'(2(1(2(1(0(1(1(2(2(0(0(2(1(2(1(2(1(2(0(z0)))))))))))))))))))), 2'(1(2(1(0(1(1(2(2(0(0(2(1(2(1(2(1(2(0(z0))))))))))))))))))), 1'(2(1(0(1(1(2(2(0(0(2(1(2(1(2(1(2(0(z0)))))))))))))))))), 2'(1(0(1(1(2(2(0(0(2(1(2(1(2(1(2(0(z0))))))))))))))))), 1'(0(1(1(2(2(0(0(2(1(2(1(2(1(2(0(z0)))))))))))))))), 0'(1(1(2(2(0(0(2(1(2(1(2(1(2(0(z0))))))))))))))), 1'(1(2(2(0(0(2(1(2(1(2(1(2(0(z0)))))))))))))), 1'(2(2(0(0(2(1(2(1(2(1(2(0(z0))))))))))))), 2'(2(0(0(2(1(2(1(2(1(2(0(z0)))))))))))), 2'(0(0(2(1(2(1(2(1(2(0(z0))))))))))), 0'(0(2(1(2(1(2(1(2(0(z0)))))))))), 0'(2(1(2(1(2(1(2(0(z0))))))))), 2'(1(2(1(2(1(2(0(z0)))))))), 1'(2(1(2(1(2(0(z0))))))), 2'(1(2(1(2(0(z0)))))), 1'(2(1(2(0(z0))))), 2'(1(2(0(z0)))), 1'(2(0(z0))), 2'(0(z0)), 0'(z0)) 2'(c_2(c_1(c_1(c_2(c_2(c_1(c_2(c_1(c_1(c_1(c_0(c_0(c_2(c_1(c_1(c_0(c_2(c_0(c_0(c_1(c_1(c_2(z0))))))))))))))))))))))) -> c46(2'(1(1(1(2(2(2(1(1(0(2(2(1(0(1(0(2(2(1(2(0(0(0(1(2(1(2(z0))))))))))))))))))))))))))), 1'(1(1(2(2(2(1(1(0(2(2(1(0(1(0(2(2(1(2(0(0(0(1(2(1(2(z0)))))))))))))))))))))))))), 1'(1(2(2(2(1(1(0(2(2(1(0(1(0(2(2(1(2(0(0(0(1(2(1(2(z0))))))))))))))))))))))))), 1'(2(2(2(1(1(0(2(2(1(0(1(0(2(2(1(2(0(0(0(1(2(1(2(z0)))))))))))))))))))))))), 2'(2(2(1(1(0(2(2(1(0(1(0(2(2(1(2(0(0(0(1(2(1(2(z0))))))))))))))))))))))), 2'(2(1(1(0(2(2(1(0(1(0(2(2(1(2(0(0(0(1(2(1(2(z0)))))))))))))))))))))), 2'(1(1(0(2(2(1(0(1(0(2(2(1(2(0(0(0(1(2(1(2(z0))))))))))))))))))))), 1'(1(0(2(2(1(0(1(0(2(2(1(2(0(0(0(1(2(1(2(z0)))))))))))))))))))), 1'(0(2(2(1(0(1(0(2(2(1(2(0(0(0(1(2(1(2(z0))))))))))))))))))), 0'(2(2(1(0(1(0(2(2(1(2(0(0(0(1(2(1(2(z0)))))))))))))))))), 2'(2(1(0(1(0(2(2(1(2(0(0(0(1(2(1(2(z0))))))))))))))))), 2'(1(0(1(0(2(2(1(2(0(0(0(1(2(1(2(z0)))))))))))))))), 1'(0(1(0(2(2(1(2(0(0(0(1(2(1(2(z0))))))))))))))), 0'(1(0(2(2(1(2(0(0(0(1(2(1(2(z0)))))))))))))), 1'(0(2(2(1(2(0(0(0(1(2(1(2(z0))))))))))))), 0'(2(2(1(2(0(0(0(1(2(1(2(z0)))))))))))), 2'(2(1(2(0(0(0(1(2(1(2(z0))))))))))), 2'(1(2(0(0(0(1(2(1(2(z0)))))))))), 1'(2(0(0(0(1(2(1(2(z0))))))))), 2'(0(0(0(1(2(1(2(z0)))))))), 0'(0(0(1(2(1(2(z0))))))), 0'(0(1(2(1(2(z0)))))), 0'(1(2(1(2(z0))))), 1'(2(1(2(z0)))), 2'(1(2(z0))), 1'(2(z0)), 2'(z0)) 2'(c_2(c_0(c_1(c_1(c_0(c_0(c_1(c_2(c_1(c_0(c_2(c_1(c_2(c_2(c_2(c_1(c_0(c_0(c_2(c_2(c_2(c_0(z0))))))))))))))))))))))) -> c47(2'(2(1(0(0(0(0(2(2(1(1(2(2(1(0(2(1(2(1(2(2(1(2(2(2(0(0(z0))))))))))))))))))))))))))), 2'(1(0(0(0(0(2(2(1(1(2(2(1(0(2(1(2(1(2(2(1(2(2(2(0(0(z0)))))))))))))))))))))))))), 1'(0(0(0(0(2(2(1(1(2(2(1(0(2(1(2(1(2(2(1(2(2(2(0(0(z0))))))))))))))))))))))))), 0'(0(0(0(2(2(1(1(2(2(1(0(2(1(2(1(2(2(1(2(2(2(0(0(z0)))))))))))))))))))))))), 0'(0(0(2(2(1(1(2(2(1(0(2(1(2(1(2(2(1(2(2(2(0(0(z0))))))))))))))))))))))), 0'(0(2(2(1(1(2(2(1(0(2(1(2(1(2(2(1(2(2(2(0(0(z0)))))))))))))))))))))), 0'(2(2(1(1(2(2(1(0(2(1(2(1(2(2(1(2(2(2(0(0(z0))))))))))))))))))))), 2'(2(1(1(2(2(1(0(2(1(2(1(2(2(1(2(2(2(0(0(z0)))))))))))))))))))), 2'(1(1(2(2(1(0(2(1(2(1(2(2(1(2(2(2(0(0(z0))))))))))))))))))), 1'(1(2(2(1(0(2(1(2(1(2(2(1(2(2(2(0(0(z0)))))))))))))))))), 1'(2(2(1(0(2(1(2(1(2(2(1(2(2(2(0(0(z0))))))))))))))))), 2'(2(1(0(2(1(2(1(2(2(1(2(2(2(0(0(z0)))))))))))))))), 2'(1(0(2(1(2(1(2(2(1(2(2(2(0(0(z0))))))))))))))), 1'(0(2(1(2(1(2(2(1(2(2(2(0(0(z0)))))))))))))), 0'(2(1(2(1(2(2(1(2(2(2(0(0(z0))))))))))))), 2'(1(2(1(2(2(1(2(2(2(0(0(z0)))))))))))), 1'(2(1(2(2(1(2(2(2(0(0(z0))))))))))), 2'(1(2(2(1(2(2(2(0(0(z0)))))))))), 1'(2(2(1(2(2(2(0(0(z0))))))))), 2'(2(1(2(2(2(0(0(z0)))))))), 2'(1(2(2(2(0(0(z0))))))), 1'(2(2(2(0(0(z0)))))), 2'(2(2(0(0(z0))))), 2'(2(0(0(z0)))), 2'(0(0(z0))), 0'(0(z0)), 0'(z0)) 2'(c_1(c_2(c_1(c_0(c_2(c_1(c_2(c_0(c_0(c_0(c_0(c_2(c_0(c_0(c_0(c_2(c_2(c_0(c_0(c_0(c_0(c_1(z0))))))))))))))))))))))) -> c48(2'(1(2(1(2(0(0(2(1(0(0(2(2(0(1(0(2(1(2(1(2(2(1(2(1(1(2(z0))))))))))))))))))))))))))), 1'(2(1(2(0(0(2(1(0(0(2(2(0(1(0(2(1(2(1(2(2(1(2(1(1(2(z0)))))))))))))))))))))))))), 2'(1(2(0(0(2(1(0(0(2(2(0(1(0(2(1(2(1(2(2(1(2(1(1(2(z0))))))))))))))))))))))))), 1'(2(0(0(2(1(0(0(2(2(0(1(0(2(1(2(1(2(2(1(2(1(1(2(z0)))))))))))))))))))))))), 2'(0(0(2(1(0(0(2(2(0(1(0(2(1(2(1(2(2(1(2(1(1(2(z0))))))))))))))))))))))), 0'(0(2(1(0(0(2(2(0(1(0(2(1(2(1(2(2(1(2(1(1(2(z0)))))))))))))))))))))), 0'(2(1(0(0(2(2(0(1(0(2(1(2(1(2(2(1(2(1(1(2(z0))))))))))))))))))))), 2'(1(0(0(2(2(0(1(0(2(1(2(1(2(2(1(2(1(1(2(z0)))))))))))))))))))), 1'(0(0(2(2(0(1(0(2(1(2(1(2(2(1(2(1(1(2(z0))))))))))))))))))), 0'(0(2(2(0(1(0(2(1(2(1(2(2(1(2(1(1(2(z0)))))))))))))))))), 0'(2(2(0(1(0(2(1(2(1(2(2(1(2(1(1(2(z0))))))))))))))))), 2'(2(0(1(0(2(1(2(1(2(2(1(2(1(1(2(z0)))))))))))))))), 2'(0(1(0(2(1(2(1(2(2(1(2(1(1(2(z0))))))))))))))), 0'(1(0(2(1(2(1(2(2(1(2(1(1(2(z0)))))))))))))), 1'(0(2(1(2(1(2(2(1(2(1(1(2(z0))))))))))))), 0'(2(1(2(1(2(2(1(2(1(1(2(z0)))))))))))), 2'(1(2(1(2(2(1(2(1(1(2(z0))))))))))), 1'(2(1(2(2(1(2(1(1(2(z0)))))))))), 2'(1(2(2(1(2(1(1(2(z0))))))))), 1'(2(2(1(2(1(1(2(z0)))))))), 2'(2(1(2(1(1(2(z0))))))), 2'(1(2(1(1(2(z0)))))), 1'(2(1(1(2(z0))))), 2'(1(1(2(z0)))), 1'(1(2(z0))), 1'(2(z0)), 2'(z0)) K tuples:none Defined Rule Symbols: 1_1, 2_1, 0_1, encArg_1, encode_0_1, encode_1_1, encode_2_1 Defined Pair Symbols: ENCARG_1, ENCODE_0_1, ENCODE_1_1, ENCODE_2_1, 0'_1, 1'_1, 2'_1 Compound Symbols: c_2, c1_2, c2_2, c3_2, c4_2, c5_2, c7_27, c8_27, c9_27, c10_27, c11_27, c12_27, c13_27, c14_27, c15_27, c16_27, c18_27, c19_27, c20_27, c21_27, c22_27, c23_27, c24_27, c25_27, c26_27, c27_27, c28_27, c30_27, c31_27, c32_27, c33_27, c34_27, c35_27, c36_27, c37_27, c38_27, c39_27, c40_27, c41_27, c42_27, c43_27, c44_27, c45_27, c46_27, c47_27, c48_27 ---------------------------------------- (43) CdtGraphSplitRhsProof (BOTH BOUNDS(ID, ID)) Split RHS of tuples not part of any SCC ---------------------------------------- (44) Obligation: Complexity Dependency Tuples Problem Rules: encArg(cons_0(z0)) -> 0(encArg(z0)) encArg(cons_1(z0)) -> 1(encArg(z0)) encArg(cons_2(z0)) -> 2(encArg(z0)) encode_0(z0) -> 0(encArg(z0)) encode_1(z0) -> 1(encArg(z0)) encode_2(z0) -> 2(encArg(z0)) 0(z0) -> c_0(z0) 0(c_0(c_2(c_0(c_2(c_2(c_1(c_2(c_1(c_1(c_2(c_1(c_1(c_2(c_1(c_0(c_0(c_0(c_0(c_1(c_1(c_2(c_1(z0))))))))))))))))))))))) -> 0(0(1(2(2(1(1(2(2(1(1(2(2(2(2(0(1(2(1(2(1(1(1(0(1(2(2(z0))))))))))))))))))))))))))) 0(c_1(c_1(c_1(c_2(c_2(c_1(c_0(c_0(c_2(c_2(c_2(c_2(c_0(c_2(c_0(c_0(c_0(c_0(c_1(c_0(c_0(c_2(z0))))))))))))))))))))))) -> 0(2(1(1(1(1(2(2(1(1(0(1(1(2(1(2(1(0(0(1(2(2(1(0(0(2(2(z0))))))))))))))))))))))))))) 0(c_1(c_1(c_0(c_1(c_1(c_1(c_2(c_2(c_0(c_2(c_0(c_1(c_2(c_2(c_2(c_0(c_1(c_2(c_0(c_1(c_0(c_2(z0))))))))))))))))))))))) -> 0(2(0(1(0(2(0(2(2(2(1(2(1(1(2(2(2(2(2(2(2(1(0(0(0(2(2(z0))))))))))))))))))))))))))) 0(c_1(c_0(c_0(c_1(c_2(c_2(c_1(c_0(c_1(c_2(c_1(c_2(c_0(c_1(c_0(c_2(c_2(c_0(c_1(c_2(c_1(c_0(z0))))))))))))))))))))))) -> 0(0(0(1(2(2(2(2(2(2(2(0(0(0(0(1(2(1(2(2(2(1(0(2(0(2(0(z0))))))))))))))))))))))))))) 0(c_0(c_1(c_2(c_0(c_1(c_0(c_0(c_2(c_0(c_1(c_1(c_0(c_1(c_2(c_1(c_1(c_2(c_2(c_1(c_1(c_0(c_2(z0))))))))))))))))))))))) -> 0(2(2(2(0(1(1(2(1(2(2(1(2(1(0(2(2(2(1(2(1(1(0(0(1(0(2(z0))))))))))))))))))))))))))) 0(c_1(c_1(c_1(c_1(c_2(c_1(c_1(c_2(c_2(c_0(c_1(c_0(c_1(c_1(c_0(c_2(c_0(c_0(c_2(c_0(c_1(c_0(z0))))))))))))))))))))))) -> 2(2(2(2(2(1(0(1(2(2(0(1(1(1(2(2(1(1(0(0(0(0(2(2(1(2(2(z0))))))))))))))))))))))))))) 0(c_1(c_2(c_1(c_1(c_2(c_2(c_2(c_1(c_1(c_0(c_0(c_1(c_0(c_2(c_0(c_2(c_2(c_1(c_0(c_2(c_1(c_1(z0))))))))))))))))))))))) -> 2(1(2(1(2(1(2(2(0(2(0(1(2(1(2(1(2(0(1(2(0(0(2(2(1(1(2(z0))))))))))))))))))))))))))) 0(c_0(c_1(c_0(c_2(c_2(c_1(c_2(c_0(c_0(c_1(c_2(c_0(c_2(c_2(c_2(c_1(c_1(c_2(c_0(c_0(c_2(c_1(z0))))))))))))))))))))))) -> 0(1(1(1(0(2(1(2(1(2(0(1(1(2(1(1(2(2(2(2(2(0(2(2(2(1(2(z0))))))))))))))))))))))))))) 0(c_0(c_0(c_0(c_1(c_0(c_0(c_2(c_2(c_1(c_0(c_2(c_0(c_2(c_1(c_1(c_2(c_1(c_2(c_2(c_0(c_1(c_1(z0))))))))))))))))))))))) -> 0(1(2(0(0(2(1(2(2(1(1(2(1(1(1(1(2(2(2(1(2(1(0(2(1(1(0(z0))))))))))))))))))))))))))) 0(c_0(c_0(c_2(c_2(c_0(c_2(c_2(c_2(c_1(c_1(c_0(c_2(c_2(c_1(c_2(c_1(c_0(c_2(c_0(c_0(c_0(c_1(z0))))))))))))))))))))))) -> 2(0(1(1(1(2(2(1(1(2(2(2(2(1(0(1(2(1(1(2(2(2(1(2(1(2(2(z0))))))))))))))))))))))))))) 1(z0) -> c_1(z0) 1(c_2(c_0(c_0(c_2(c_0(c_1(c_2(c_2(c_0(c_2(c_1(c_2(c_1(c_2(c_0(c_1(c_0(c_1(c_2(c_0(c_2(c_1(z0))))))))))))))))))))))) -> 1(2(2(0(2(1(2(2(0(1(0(2(1(0(1(2(1(2(2(2(2(0(2(2(0(2(0(z0))))))))))))))))))))))))))) 1(c_1(c_0(c_2(c_1(c_2(c_2(c_2(c_2(c_1(c_0(c_1(c_2(c_0(c_1(c_2(c_1(c_1(c_0(c_2(c_1(c_2(c_0(z0))))))))))))))))))))))) -> 2(2(1(2(1(2(2(1(0(1(2(2(2(1(0(2(1(1(2(1(0(1(1(1(2(2(2(z0))))))))))))))))))))))))))) 1(c_1(c_0(c_1(c_2(c_2(c_2(c_2(c_1(c_0(c_2(c_1(c_2(c_0(c_0(c_0(c_1(c_0(c_2(c_1(c_1(c_1(c_2(z0))))))))))))))))))))))) -> 2(1(2(1(2(2(2(2(2(0(0(0(0(2(1(2(2(2(2(1(2(2(2(0(0(2(2(z0))))))))))))))))))))))))))) 1(c_1(c_2(c_2(c_1(c_0(c_2(c_0(c_1(c_1(c_2(c_2(c_2(c_1(c_0(c_1(c_0(c_0(c_2(c_1(c_1(c_0(c_2(z0))))))))))))))))))))))) -> 2(2(2(1(1(2(2(2(1(2(2(0(0(2(0(0(1(2(0(2(2(1(2(2(2(0(2(z0))))))))))))))))))))))))))) 1(c_0(c_1(c_0(c_2(c_2(c_2(c_2(c_1(c_0(c_0(c_2(c_0(c_2(c_1(c_2(c_1(c_2(c_1(c_1(c_2(c_0(c_2(z0))))))))))))))))))))))) -> 2(1(2(0(2(0(2(0(2(2(2(2(1(2(1(2(2(2(1(1(2(1(0(1(1(2(2(z0))))))))))))))))))))))))))) 1(c_1(c_1(c_0(c_2(c_2(c_1(c_1(c_1(c_2(c_2(c_0(c_2(c_0(c_2(c_1(c_1(c_2(c_1(c_2(c_1(c_2(c_2(z0))))))))))))))))))))))) -> 1(2(1(2(1(1(1(1(2(1(1(1(2(2(0(1(0(2(2(1(2(2(2(1(0(1(2(z0))))))))))))))))))))))))))) 1(c_0(c_0(c_1(c_0(c_1(c_1(c_0(c_2(c_1(c_1(c_2(c_1(c_2(c_1(c_2(c_0(c_1(c_2(c_2(c_1(c_2(c_1(z0))))))))))))))))))))))) -> 1(2(0(0(1(1(2(2(1(2(0(2(2(0(1(1(2(2(2(1(2(2(2(2(2(1(2(z0))))))))))))))))))))))))))) 1(c_2(c_2(c_2(c_1(c_1(c_0(c_0(c_2(c_2(c_2(c_0(c_0(c_0(c_2(c_1(c_2(c_2(c_0(c_2(c_0(c_2(c_0(z0))))))))))))))))))))))) -> 1(2(1(2(0(0(1(1(1(2(2(2(2(1(2(2(2(0(2(0(1(2(2(2(2(0(0(z0))))))))))))))))))))))))))) 1(c_2(c_0(c_2(c_1(c_2(c_2(c_1(c_2(c_2(c_2(c_0(c_1(c_1(c_1(c_1(c_0(c_1(c_0(c_0(c_2(c_0(c_1(z0))))))))))))))))))))))) -> 1(2(1(2(1(2(2(2(2(2(2(0(0(2(0(0(2(2(0(1(1(1(1(0(0(2(1(z0))))))))))))))))))))))))))) 1(c_1(c_0(c_2(c_1(c_0(c_2(c_0(c_1(c_2(c_0(c_2(c_0(c_0(c_2(c_1(c_0(c_1(c_0(c_1(c_2(c_1(c_2(z0))))))))))))))))))))))) -> 2(0(2(2(1(1(1(2(2(0(1(2(0(2(1(1(2(1(0(0(2(0(1(2(2(2(2(z0))))))))))))))))))))))))))) 1(c_1(c_0(c_0(c_1(c_1(c_1(c_2(c_2(c_2(c_1(c_2(c_1(c_0(c_0(c_0(c_2(c_2(c_2(c_0(c_1(c_2(c_0(z0))))))))))))))))))))))) -> 2(1(2(1(2(2(2(1(2(2(0(2(2(1(0(2(1(2(2(0(1(0(1(1(2(2(2(z0))))))))))))))))))))))))))) 2(z0) -> c_2(z0) 2(c_2(c_1(c_1(c_1(c_0(c_0(c_2(c_1(c_0(c_2(c_1(c_2(c_0(c_0(c_2(c_1(c_0(c_1(c_1(c_2(c_2(c_1(z0))))))))))))))))))))))) -> 2(1(2(2(0(1(2(1(1(0(1(2(1(0(0(1(2(2(1(2(1(0(2(1(2(2(1(z0))))))))))))))))))))))))))) 2(c_2(c_1(c_1(c_2(c_0(c_0(c_2(c_2(c_2(c_2(c_1(c_1(c_1(c_1(c_1(c_2(c_1(c_2(c_0(c_0(c_1(c_1(z0))))))))))))))))))))))) -> 2(2(1(1(2(2(1(2(1(2(2(0(0(0(2(1(0(2(2(1(2(2(0(1(1(2(2(z0))))))))))))))))))))))))))) 2(c_1(c_0(c_1(c_0(c_0(c_2(c_2(c_2(c_0(c_1(c_0(c_0(c_2(c_0(c_0(c_1(c_2(c_0(c_2(c_2(c_2(c_0(z0))))))))))))))))))))))) -> 2(1(1(2(0(1(2(0(0(2(0(1(2(2(1(1(1(2(2(2(0(0(1(1(0(2(0(z0))))))))))))))))))))))))))) 2(c_0(c_2(c_0(c_1(c_0(c_1(c_1(c_2(c_0(c_1(c_1(c_2(c_2(c_1(c_0(c_2(c_0(c_2(c_0(c_2(c_2(c_2(z0))))))))))))))))))))))) -> 2(0(0(1(1(2(0(2(2(1(1(2(2(0(1(2(2(2(0(0(2(0(2(2(2(0(2(z0))))))))))))))))))))))))))) 2(c_2(c_0(c_1(c_2(c_2(c_2(c_0(c_2(c_2(c_2(c_0(c_2(c_2(c_2(c_2(c_1(c_0(c_1(c_0(c_0(c_1(c_0(z0))))))))))))))))))))))) -> 2(2(0(1(1(2(2(2(1(1(2(1(0(0(1(2(2(1(2(1(0(2(2(0(0(2(0(z0))))))))))))))))))))))))))) 2(c_2(c_1(c_1(c_1(c_2(c_0(c_1(c_1(c_2(c_2(c_0(c_1(c_1(c_1(c_1(c_1(c_2(c_2(c_2(c_0(c_2(c_1(z0))))))))))))))))))))))) -> 1(2(1(2(2(1(1(1(1(2(2(2(1(2(0(0(0(1(2(0(0(1(2(2(2(2(2(z0))))))))))))))))))))))))))) 2(c_1(c_1(c_0(c_2(c_2(c_2(c_0(c_1(c_2(c_1(c_1(c_0(c_1(c_2(c_0(c_0(c_1(c_1(c_1(c_1(c_2(c_2(z0))))))))))))))))))))))) -> 2(0(0(2(1(0(0(0(0(0(1(2(1(1(2(1(1(2(1(2(2(0(1(1(1(2(2(z0))))))))))))))))))))))))))) 2(c_2(c_1(c_2(c_1(c_2(c_2(c_2(c_0(c_1(c_2(c_1(c_2(c_2(c_2(c_2(c_1(c_1(c_0(c_1(c_0(c_1(c_0(z0))))))))))))))))))))))) -> 1(2(1(2(1(2(0(1(2(2(0(1(1(1(2(2(1(1(1(2(2(0(1(0(1(2(2(z0))))))))))))))))))))))))))) 2(c_0(c_2(c_0(c_1(c_2(c_2(c_0(c_0(c_2(c_2(c_2(c_1(c_1(c_1(c_2(c_1(c_0(c_2(c_0(c_2(c_2(c_0(z0))))))))))))))))))))))) -> 2(1(1(1(2(2(0(0(0(2(1(0(0(0(1(1(0(2(2(0(2(2(2(2(2(2(0(z0))))))))))))))))))))))))))) 2(c_2(c_0(c_0(c_2(c_1(c_2(c_0(c_1(c_2(c_0(c_2(c_1(c_0(c_1(c_1(c_2(c_2(c_1(c_0(c_1(c_0(c_2(z0))))))))))))))))))))))) -> 2(2(2(2(1(2(1(2(0(2(2(2(2(2(0(1(2(0(2(1(0(0(0(2(0(2(2(z0))))))))))))))))))))))))))) 2(c_2(c_2(c_0(c_0(c_1(c_0(c_0(c_2(c_0(c_0(c_2(c_1(c_1(c_2(c_1(c_0(c_1(c_2(c_2(c_2(c_1(c_0(z0))))))))))))))))))))))) -> 1(2(2(2(2(0(1(2(1(2(0(1(2(1(2(1(0(1(0(1(0(1(1(2(2(1(0(z0))))))))))))))))))))))))))) 2(c_1(c_0(c_1(c_1(c_2(c_0(c_0(c_2(c_1(c_0(c_0(c_0(c_1(c_2(c_1(c_1(c_2(c_0(c_2(c_1(c_2(c_1(z0))))))))))))))))))))))) -> 2(0(2(2(0(0(2(2(1(1(1(2(0(1(0(1(2(2(2(2(2(0(0(0(2(2(1(z0))))))))))))))))))))))))))) 2(c_2(c_1(c_2(c_2(c_0(c_0(c_2(c_1(c_1(c_0(c_2(c_2(c_0(c_2(c_2(c_0(c_2(c_2(c_1(c_2(c_0(c_2(z0))))))))))))))))))))))) -> 1(2(1(1(1(2(2(2(1(2(1(0(2(1(1(1(1(2(2(0(0(1(1(0(2(1(2(z0))))))))))))))))))))))))))) 2(c_2(c_0(c_0(c_1(c_2(c_1(c_1(c_2(c_1(c_0(c_0(c_0(c_0(c_0(c_2(c_1(c_2(c_1(c_1(c_2(c_0(c_2(z0))))))))))))))))))))))) -> 2(1(1(2(2(2(2(1(2(1(0(0(2(1(0(2(2(0(1(1(0(2(0(0(0(0(2(z0))))))))))))))))))))))))))) 2(c_0(c_1(c_0(c_0(c_0(c_1(c_0(c_0(c_0(c_0(c_0(c_0(c_0(c_1(c_0(c_2(c_0(c_0(c_2(c_2(c_2(c_2(z0))))))))))))))))))))))) -> 2(2(2(1(1(2(1(2(0(1(1(2(1(0(2(1(0(0(1(0(1(1(2(1(2(2(2(z0))))))))))))))))))))))))))) 2(c_2(c_0(c_0(c_1(c_0(c_1(c_2(c_2(c_2(c_1(c_1(c_0(c_0(c_1(c_2(c_2(c_1(c_2(c_0(c_1(c_2(c_1(z0))))))))))))))))))))))) -> 2(2(2(2(0(2(0(2(2(1(2(1(0(1(1(2(2(0(0(2(1(2(1(2(1(2(0(z0))))))))))))))))))))))))))) 2(c_2(c_1(c_1(c_2(c_2(c_1(c_2(c_1(c_1(c_1(c_0(c_0(c_2(c_1(c_1(c_0(c_2(c_0(c_0(c_1(c_1(c_2(z0))))))))))))))))))))))) -> 2(1(1(1(2(2(2(1(1(0(2(2(1(0(1(0(2(2(1(2(0(0(0(1(2(1(2(z0))))))))))))))))))))))))))) 2(c_2(c_0(c_1(c_1(c_0(c_0(c_1(c_2(c_1(c_0(c_2(c_1(c_2(c_2(c_2(c_1(c_0(c_0(c_2(c_2(c_2(c_0(z0))))))))))))))))))))))) -> 2(2(1(0(0(0(0(2(2(1(1(2(2(1(0(2(1(2(1(2(2(1(2(2(2(0(0(z0))))))))))))))))))))))))))) 2(c_1(c_2(c_1(c_0(c_2(c_1(c_2(c_0(c_0(c_0(c_0(c_2(c_0(c_0(c_0(c_2(c_2(c_0(c_0(c_0(c_0(c_1(z0))))))))))))))))))))))) -> 2(1(2(1(2(0(0(2(1(0(0(2(2(0(1(0(2(1(2(1(2(2(1(2(1(1(2(z0))))))))))))))))))))))))))) Tuples: ENCARG(cons_0(z0)) -> c(0'(encArg(z0)), ENCARG(z0)) ENCARG(cons_1(z0)) -> c1(1'(encArg(z0)), ENCARG(z0)) ENCARG(cons_2(z0)) -> c2(2'(encArg(z0)), ENCARG(z0)) 0'(c_0(c_2(c_0(c_2(c_2(c_1(c_2(c_1(c_1(c_2(c_1(c_1(c_2(c_1(c_0(c_0(c_0(c_0(c_1(c_1(c_2(c_1(z0))))))))))))))))))))))) -> c7(0'(0(1(2(2(1(1(2(2(1(1(2(2(2(2(0(1(2(1(2(1(1(1(0(1(2(2(z0))))))))))))))))))))))))))), 0'(1(2(2(1(1(2(2(1(1(2(2(2(2(0(1(2(1(2(1(1(1(0(1(2(2(z0)))))))))))))))))))))))))), 1'(2(2(1(1(2(2(1(1(2(2(2(2(0(1(2(1(2(1(1(1(0(1(2(2(z0))))))))))))))))))))))))), 2'(2(1(1(2(2(1(1(2(2(2(2(0(1(2(1(2(1(1(1(0(1(2(2(z0)))))))))))))))))))))))), 2'(1(1(2(2(1(1(2(2(2(2(0(1(2(1(2(1(1(1(0(1(2(2(z0))))))))))))))))))))))), 1'(1(2(2(1(1(2(2(2(2(0(1(2(1(2(1(1(1(0(1(2(2(z0)))))))))))))))))))))), 1'(2(2(1(1(2(2(2(2(0(1(2(1(2(1(1(1(0(1(2(2(z0))))))))))))))))))))), 2'(2(1(1(2(2(2(2(0(1(2(1(2(1(1(1(0(1(2(2(z0)))))))))))))))))))), 2'(1(1(2(2(2(2(0(1(2(1(2(1(1(1(0(1(2(2(z0))))))))))))))))))), 1'(1(2(2(2(2(0(1(2(1(2(1(1(1(0(1(2(2(z0)))))))))))))))))), 1'(2(2(2(2(0(1(2(1(2(1(1(1(0(1(2(2(z0))))))))))))))))), 2'(2(2(2(0(1(2(1(2(1(1(1(0(1(2(2(z0)))))))))))))))), 2'(2(2(0(1(2(1(2(1(1(1(0(1(2(2(z0))))))))))))))), 2'(2(0(1(2(1(2(1(1(1(0(1(2(2(z0)))))))))))))), 2'(0(1(2(1(2(1(1(1(0(1(2(2(z0))))))))))))), 0'(1(2(1(2(1(1(1(0(1(2(2(z0)))))))))))), 1'(2(1(2(1(1(1(0(1(2(2(z0))))))))))), 2'(1(2(1(1(1(0(1(2(2(z0)))))))))), 1'(2(1(1(1(0(1(2(2(z0))))))))), 2'(1(1(1(0(1(2(2(z0)))))))), 1'(1(1(0(1(2(2(z0))))))), 1'(1(0(1(2(2(z0)))))), 1'(0(1(2(2(z0))))), 0'(1(2(2(z0)))), 1'(2(2(z0))), 2'(2(z0)), 2'(z0)) 0'(c_1(c_1(c_1(c_2(c_2(c_1(c_0(c_0(c_2(c_2(c_2(c_2(c_0(c_2(c_0(c_0(c_0(c_0(c_1(c_0(c_0(c_2(z0))))))))))))))))))))))) -> c8(0'(2(1(1(1(1(2(2(1(1(0(1(1(2(1(2(1(0(0(1(2(2(1(0(0(2(2(z0))))))))))))))))))))))))))), 2'(1(1(1(1(2(2(1(1(0(1(1(2(1(2(1(0(0(1(2(2(1(0(0(2(2(z0)))))))))))))))))))))))))), 1'(1(1(1(2(2(1(1(0(1(1(2(1(2(1(0(0(1(2(2(1(0(0(2(2(z0))))))))))))))))))))))))), 1'(1(1(2(2(1(1(0(1(1(2(1(2(1(0(0(1(2(2(1(0(0(2(2(z0)))))))))))))))))))))))), 1'(1(2(2(1(1(0(1(1(2(1(2(1(0(0(1(2(2(1(0(0(2(2(z0))))))))))))))))))))))), 1'(2(2(1(1(0(1(1(2(1(2(1(0(0(1(2(2(1(0(0(2(2(z0)))))))))))))))))))))), 2'(2(1(1(0(1(1(2(1(2(1(0(0(1(2(2(1(0(0(2(2(z0))))))))))))))))))))), 2'(1(1(0(1(1(2(1(2(1(0(0(1(2(2(1(0(0(2(2(z0)))))))))))))))))))), 1'(1(0(1(1(2(1(2(1(0(0(1(2(2(1(0(0(2(2(z0))))))))))))))))))), 1'(0(1(1(2(1(2(1(0(0(1(2(2(1(0(0(2(2(z0)))))))))))))))))), 0'(1(1(2(1(2(1(0(0(1(2(2(1(0(0(2(2(z0))))))))))))))))), 1'(1(2(1(2(1(0(0(1(2(2(1(0(0(2(2(z0)))))))))))))))), 1'(2(1(2(1(0(0(1(2(2(1(0(0(2(2(z0))))))))))))))), 2'(1(2(1(0(0(1(2(2(1(0(0(2(2(z0)))))))))))))), 1'(2(1(0(0(1(2(2(1(0(0(2(2(z0))))))))))))), 2'(1(0(0(1(2(2(1(0(0(2(2(z0)))))))))))), 1'(0(0(1(2(2(1(0(0(2(2(z0))))))))))), 0'(0(1(2(2(1(0(0(2(2(z0)))))))))), 0'(1(2(2(1(0(0(2(2(z0))))))))), 1'(2(2(1(0(0(2(2(z0)))))))), 2'(2(1(0(0(2(2(z0))))))), 2'(1(0(0(2(2(z0)))))), 1'(0(0(2(2(z0))))), 0'(0(2(2(z0)))), 0'(2(2(z0))), 2'(2(z0)), 2'(z0)) 0'(c_1(c_1(c_0(c_1(c_1(c_1(c_2(c_2(c_0(c_2(c_0(c_1(c_2(c_2(c_2(c_0(c_1(c_2(c_0(c_1(c_0(c_2(z0))))))))))))))))))))))) -> c9(0'(2(0(1(0(2(0(2(2(2(1(2(1(1(2(2(2(2(2(2(2(1(0(0(0(2(2(z0))))))))))))))))))))))))))), 2'(0(1(0(2(0(2(2(2(1(2(1(1(2(2(2(2(2(2(2(1(0(0(0(2(2(z0)))))))))))))))))))))))))), 0'(1(0(2(0(2(2(2(1(2(1(1(2(2(2(2(2(2(2(1(0(0(0(2(2(z0))))))))))))))))))))))))), 1'(0(2(0(2(2(2(1(2(1(1(2(2(2(2(2(2(2(1(0(0(0(2(2(z0)))))))))))))))))))))))), 0'(2(0(2(2(2(1(2(1(1(2(2(2(2(2(2(2(1(0(0(0(2(2(z0))))))))))))))))))))))), 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c20(2'(1(2(1(2(2(2(2(2(0(0(0(0(2(1(2(2(2(2(1(2(2(2(0(0(2(2(z0))))))))))))))))))))))))))), 1'(2(1(2(2(2(2(2(0(0(0(0(2(1(2(2(2(2(1(2(2(2(0(0(2(2(z0)))))))))))))))))))))))))), 2'(1(2(2(2(2(2(0(0(0(0(2(1(2(2(2(2(1(2(2(2(0(0(2(2(z0))))))))))))))))))))))))), 1'(2(2(2(2(2(0(0(0(0(2(1(2(2(2(2(1(2(2(2(0(0(2(2(z0)))))))))))))))))))))))), 2'(2(2(2(2(0(0(0(0(2(1(2(2(2(2(1(2(2(2(0(0(2(2(z0))))))))))))))))))))))), 2'(2(2(2(0(0(0(0(2(1(2(2(2(2(1(2(2(2(0(0(2(2(z0)))))))))))))))))))))), 2'(2(2(0(0(0(0(2(1(2(2(2(2(1(2(2(2(0(0(2(2(z0))))))))))))))))))))), 2'(2(0(0(0(0(2(1(2(2(2(2(1(2(2(2(0(0(2(2(z0)))))))))))))))))))), 2'(0(0(0(0(2(1(2(2(2(2(1(2(2(2(0(0(2(2(z0))))))))))))))))))), 0'(0(0(0(2(1(2(2(2(2(1(2(2(2(0(0(2(2(z0)))))))))))))))))), 0'(0(0(2(1(2(2(2(2(1(2(2(2(0(0(2(2(z0))))))))))))))))), 0'(0(2(1(2(2(2(2(1(2(2(2(0(0(2(2(z0)))))))))))))))), 0'(2(1(2(2(2(2(1(2(2(2(0(0(2(2(z0))))))))))))))), 2'(1(2(2(2(2(1(2(2(2(0(0(2(2(z0)))))))))))))), 1'(2(2(2(2(1(2(2(2(0(0(2(2(z0))))))))))))), 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0'(0(2(2(1(1(2(2(1(0(2(1(2(1(2(2(1(2(2(2(0(0(z0)))))))))))))))))))))), 0'(2(2(1(1(2(2(1(0(2(1(2(1(2(2(1(2(2(2(0(0(z0))))))))))))))))))))), 2'(2(1(1(2(2(1(0(2(1(2(1(2(2(1(2(2(2(0(0(z0)))))))))))))))))))), 2'(1(1(2(2(1(0(2(1(2(1(2(2(1(2(2(2(0(0(z0))))))))))))))))))), 1'(1(2(2(1(0(2(1(2(1(2(2(1(2(2(2(0(0(z0)))))))))))))))))), 1'(2(2(1(0(2(1(2(1(2(2(1(2(2(2(0(0(z0))))))))))))))))), 2'(2(1(0(2(1(2(1(2(2(1(2(2(2(0(0(z0)))))))))))))))), 2'(1(0(2(1(2(1(2(2(1(2(2(2(0(0(z0))))))))))))))), 1'(0(2(1(2(1(2(2(1(2(2(2(0(0(z0)))))))))))))), 0'(2(1(2(1(2(2(1(2(2(2(0(0(z0))))))))))))), 2'(1(2(1(2(2(1(2(2(2(0(0(z0)))))))))))), 1'(2(1(2(2(1(2(2(2(0(0(z0))))))))))), 2'(1(2(2(1(2(2(2(0(0(z0)))))))))), 1'(2(2(1(2(2(2(0(0(z0))))))))), 2'(2(1(2(2(2(0(0(z0)))))))), 2'(1(2(2(2(0(0(z0))))))), 1'(2(2(2(0(0(z0)))))), 2'(2(2(0(0(z0))))), 2'(2(0(0(z0)))), 2'(0(0(z0))), 0'(0(z0)), 0'(z0)) 2'(c_1(c_2(c_1(c_0(c_2(c_1(c_2(c_0(c_0(c_0(c_0(c_2(c_0(c_0(c_0(c_2(c_2(c_0(c_0(c_0(c_0(c_1(z0))))))))))))))))))))))) -> c48(2'(1(2(1(2(0(0(2(1(0(0(2(2(0(1(0(2(1(2(1(2(2(1(2(1(1(2(z0))))))))))))))))))))))))))), 1'(2(1(2(0(0(2(1(0(0(2(2(0(1(0(2(1(2(1(2(2(1(2(1(1(2(z0)))))))))))))))))))))))))), 2'(1(2(0(0(2(1(0(0(2(2(0(1(0(2(1(2(1(2(2(1(2(1(1(2(z0))))))))))))))))))))))))), 1'(2(0(0(2(1(0(0(2(2(0(1(0(2(1(2(1(2(2(1(2(1(1(2(z0)))))))))))))))))))))))), 2'(0(0(2(1(0(0(2(2(0(1(0(2(1(2(1(2(2(1(2(1(1(2(z0))))))))))))))))))))))), 0'(0(2(1(0(0(2(2(0(1(0(2(1(2(1(2(2(1(2(1(1(2(z0)))))))))))))))))))))), 0'(2(1(0(0(2(2(0(1(0(2(1(2(1(2(2(1(2(1(1(2(z0))))))))))))))))))))), 2'(1(0(0(2(2(0(1(0(2(1(2(1(2(2(1(2(1(1(2(z0)))))))))))))))))))), 1'(0(0(2(2(0(1(0(2(1(2(1(2(2(1(2(1(1(2(z0))))))))))))))))))), 0'(0(2(2(0(1(0(2(1(2(1(2(2(1(2(1(1(2(z0)))))))))))))))))), 0'(2(2(0(1(0(2(1(2(1(2(2(1(2(1(1(2(z0))))))))))))))))), 2'(2(0(1(0(2(1(2(1(2(2(1(2(1(1(2(z0)))))))))))))))), 2'(0(1(0(2(1(2(1(2(2(1(2(1(1(2(z0))))))))))))))), 0'(1(0(2(1(2(1(2(2(1(2(1(1(2(z0)))))))))))))), 1'(0(2(1(2(1(2(2(1(2(1(1(2(z0))))))))))))), 0'(2(1(2(1(2(2(1(2(1(1(2(z0)))))))))))), 2'(1(2(1(2(2(1(2(1(1(2(z0))))))))))), 1'(2(1(2(2(1(2(1(1(2(z0)))))))))), 2'(1(2(2(1(2(1(1(2(z0))))))))), 1'(2(2(1(2(1(1(2(z0)))))))), 2'(2(1(2(1(1(2(z0))))))), 2'(1(2(1(1(2(z0)))))), 1'(2(1(1(2(z0))))), 2'(1(1(2(z0)))), 1'(1(2(z0))), 1'(2(z0)), 2'(z0)) ENCODE_0(z0) -> c6(0'(encArg(z0))) ENCODE_0(z0) -> c6(ENCARG(z0)) ENCODE_1(z0) -> c6(1'(encArg(z0))) ENCODE_1(z0) -> c6(ENCARG(z0)) ENCODE_2(z0) -> c6(2'(encArg(z0))) ENCODE_2(z0) -> c6(ENCARG(z0)) S tuples: 0'(c_0(c_2(c_0(c_2(c_2(c_1(c_2(c_1(c_1(c_2(c_1(c_1(c_2(c_1(c_0(c_0(c_0(c_0(c_1(c_1(c_2(c_1(z0))))))))))))))))))))))) -> c7(0'(0(1(2(2(1(1(2(2(1(1(2(2(2(2(0(1(2(1(2(1(1(1(0(1(2(2(z0))))))))))))))))))))))))))), 0'(1(2(2(1(1(2(2(1(1(2(2(2(2(0(1(2(1(2(1(1(1(0(1(2(2(z0)))))))))))))))))))))))))), 1'(2(2(1(1(2(2(1(1(2(2(2(2(0(1(2(1(2(1(1(1(0(1(2(2(z0))))))))))))))))))))))))), 2'(2(1(1(2(2(1(1(2(2(2(2(0(1(2(1(2(1(1(1(0(1(2(2(z0)))))))))))))))))))))))), 2'(1(1(2(2(1(1(2(2(2(2(0(1(2(1(2(1(1(1(0(1(2(2(z0))))))))))))))))))))))), 1'(1(2(2(1(1(2(2(2(2(0(1(2(1(2(1(1(1(0(1(2(2(z0)))))))))))))))))))))), 1'(2(2(1(1(2(2(2(2(0(1(2(1(2(1(1(1(0(1(2(2(z0))))))))))))))))))))), 2'(2(1(1(2(2(2(2(0(1(2(1(2(1(1(1(0(1(2(2(z0)))))))))))))))))))), 2'(1(1(2(2(2(2(0(1(2(1(2(1(1(1(0(1(2(2(z0))))))))))))))))))), 1'(1(2(2(2(2(0(1(2(1(2(1(1(1(0(1(2(2(z0)))))))))))))))))), 1'(2(2(2(2(0(1(2(1(2(1(1(1(0(1(2(2(z0))))))))))))))))), 2'(2(2(2(0(1(2(1(2(1(1(1(0(1(2(2(z0)))))))))))))))), 2'(2(2(0(1(2(1(2(1(1(1(0(1(2(2(z0))))))))))))))), 2'(2(0(1(2(1(2(1(1(1(0(1(2(2(z0)))))))))))))), 2'(0(1(2(1(2(1(1(1(0(1(2(2(z0))))))))))))), 0'(1(2(1(2(1(1(1(0(1(2(2(z0)))))))))))), 1'(2(1(2(1(1(1(0(1(2(2(z0))))))))))), 2'(1(2(1(1(1(0(1(2(2(z0)))))))))), 1'(2(1(1(1(0(1(2(2(z0))))))))), 2'(1(1(1(0(1(2(2(z0)))))))), 1'(1(1(0(1(2(2(z0))))))), 1'(1(0(1(2(2(z0)))))), 1'(0(1(2(2(z0))))), 0'(1(2(2(z0)))), 1'(2(2(z0))), 2'(2(z0)), 2'(z0)) 0'(c_1(c_1(c_1(c_2(c_2(c_1(c_0(c_0(c_2(c_2(c_2(c_2(c_0(c_2(c_0(c_0(c_0(c_0(c_1(c_0(c_0(c_2(z0))))))))))))))))))))))) -> c8(0'(2(1(1(1(1(2(2(1(1(0(1(1(2(1(2(1(0(0(1(2(2(1(0(0(2(2(z0))))))))))))))))))))))))))), 2'(1(1(1(1(2(2(1(1(0(1(1(2(1(2(1(0(0(1(2(2(1(0(0(2(2(z0)))))))))))))))))))))))))), 1'(1(1(1(2(2(1(1(0(1(1(2(1(2(1(0(0(1(2(2(1(0(0(2(2(z0))))))))))))))))))))))))), 1'(1(1(2(2(1(1(0(1(1(2(1(2(1(0(0(1(2(2(1(0(0(2(2(z0)))))))))))))))))))))))), 1'(1(2(2(1(1(0(1(1(2(1(2(1(0(0(1(2(2(1(0(0(2(2(z0))))))))))))))))))))))), 1'(2(2(1(1(0(1(1(2(1(2(1(0(0(1(2(2(1(0(0(2(2(z0)))))))))))))))))))))), 2'(2(1(1(0(1(1(2(1(2(1(0(0(1(2(2(1(0(0(2(2(z0))))))))))))))))))))), 2'(1(1(0(1(1(2(1(2(1(0(0(1(2(2(1(0(0(2(2(z0)))))))))))))))))))), 1'(1(0(1(1(2(1(2(1(0(0(1(2(2(1(0(0(2(2(z0))))))))))))))))))), 1'(0(1(1(2(1(2(1(0(0(1(2(2(1(0(0(2(2(z0)))))))))))))))))), 0'(1(1(2(1(2(1(0(0(1(2(2(1(0(0(2(2(z0))))))))))))))))), 1'(1(2(1(2(1(0(0(1(2(2(1(0(0(2(2(z0)))))))))))))))), 1'(2(1(2(1(0(0(1(2(2(1(0(0(2(2(z0))))))))))))))), 2'(1(2(1(0(0(1(2(2(1(0(0(2(2(z0)))))))))))))), 1'(2(1(0(0(1(2(2(1(0(0(2(2(z0))))))))))))), 2'(1(0(0(1(2(2(1(0(0(2(2(z0)))))))))))), 1'(0(0(1(2(2(1(0(0(2(2(z0))))))))))), 0'(0(1(2(2(1(0(0(2(2(z0)))))))))), 0'(1(2(2(1(0(0(2(2(z0))))))))), 1'(2(2(1(0(0(2(2(z0)))))))), 2'(2(1(0(0(2(2(z0))))))), 2'(1(0(0(2(2(z0)))))), 1'(0(0(2(2(z0))))), 0'(0(2(2(z0)))), 0'(2(2(z0))), 2'(2(z0)), 2'(z0)) 0'(c_1(c_1(c_0(c_1(c_1(c_1(c_2(c_2(c_0(c_2(c_0(c_1(c_2(c_2(c_2(c_0(c_1(c_2(c_0(c_1(c_0(c_2(z0))))))))))))))))))))))) -> c9(0'(2(0(1(0(2(0(2(2(2(1(2(1(1(2(2(2(2(2(2(2(1(0(0(0(2(2(z0))))))))))))))))))))))))))), 2'(0(1(0(2(0(2(2(2(1(2(1(1(2(2(2(2(2(2(2(1(0(0(0(2(2(z0)))))))))))))))))))))))))), 0'(1(0(2(0(2(2(2(1(2(1(1(2(2(2(2(2(2(2(1(0(0(0(2(2(z0))))))))))))))))))))))))), 1'(0(2(0(2(2(2(1(2(1(1(2(2(2(2(2(2(2(1(0(0(0(2(2(z0)))))))))))))))))))))))), 0'(2(0(2(2(2(1(2(1(1(2(2(2(2(2(2(2(1(0(0(0(2(2(z0))))))))))))))))))))))), 2'(0(2(2(2(1(2(1(1(2(2(2(2(2(2(2(1(0(0(0(2(2(z0)))))))))))))))))))))), 0'(2(2(2(1(2(1(1(2(2(2(2(2(2(2(1(0(0(0(2(2(z0))))))))))))))))))))), 2'(2(2(1(2(1(1(2(2(2(2(2(2(2(1(0(0(0(2(2(z0)))))))))))))))))))), 2'(2(1(2(1(1(2(2(2(2(2(2(2(1(0(0(0(2(2(z0))))))))))))))))))), 2'(1(2(1(1(2(2(2(2(2(2(2(1(0(0(0(2(2(z0)))))))))))))))))), 1'(2(1(1(2(2(2(2(2(2(2(1(0(0(0(2(2(z0))))))))))))))))), 2'(1(1(2(2(2(2(2(2(2(1(0(0(0(2(2(z0)))))))))))))))), 1'(1(2(2(2(2(2(2(2(1(0(0(0(2(2(z0))))))))))))))), 1'(2(2(2(2(2(2(2(1(0(0(0(2(2(z0)))))))))))))), 2'(2(2(2(2(2(2(1(0(0(0(2(2(z0))))))))))))), 2'(2(2(2(2(2(1(0(0(0(2(2(z0)))))))))))), 2'(2(2(2(2(1(0(0(0(2(2(z0))))))))))), 2'(2(2(2(1(0(0(0(2(2(z0)))))))))), 2'(2(2(1(0(0(0(2(2(z0))))))))), 2'(2(1(0(0(0(2(2(z0)))))))), 2'(1(0(0(0(2(2(z0))))))), 1'(0(0(0(2(2(z0)))))), 0'(0(0(2(2(z0))))), 0'(0(2(2(z0)))), 0'(2(2(z0))), 2'(2(z0)), 2'(z0)) 0'(c_1(c_0(c_0(c_1(c_2(c_2(c_1(c_0(c_1(c_2(c_1(c_2(c_0(c_1(c_0(c_2(c_2(c_0(c_1(c_2(c_1(c_0(z0))))))))))))))))))))))) -> c10(0'(0(0(1(2(2(2(2(2(2(2(0(0(0(0(1(2(1(2(2(2(1(0(2(0(2(0(z0))))))))))))))))))))))))))), 0'(0(1(2(2(2(2(2(2(2(0(0(0(0(1(2(1(2(2(2(1(0(2(0(2(0(z0)))))))))))))))))))))))))), 0'(1(2(2(2(2(2(2(2(0(0(0(0(1(2(1(2(2(2(1(0(2(0(2(0(z0))))))))))))))))))))))))), 1'(2(2(2(2(2(2(2(0(0(0(0(1(2(1(2(2(2(1(0(2(0(2(0(z0)))))))))))))))))))))))), 2'(2(2(2(2(2(2(0(0(0(0(1(2(1(2(2(2(1(0(2(0(2(0(z0))))))))))))))))))))))), 2'(2(2(2(2(2(0(0(0(0(1(2(1(2(2(2(1(0(2(0(2(0(z0)))))))))))))))))))))), 2'(2(2(2(2(0(0(0(0(1(2(1(2(2(2(1(0(2(0(2(0(z0))))))))))))))))))))), 2'(2(2(2(0(0(0(0(1(2(1(2(2(2(1(0(2(0(2(0(z0)))))))))))))))))))), 2'(2(2(0(0(0(0(1(2(1(2(2(2(1(0(2(0(2(0(z0))))))))))))))))))), 2'(2(0(0(0(0(1(2(1(2(2(2(1(0(2(0(2(0(z0)))))))))))))))))), 2'(0(0(0(0(1(2(1(2(2(2(1(0(2(0(2(0(z0))))))))))))))))), 0'(0(0(0(1(2(1(2(2(2(1(0(2(0(2(0(z0)))))))))))))))), 0'(0(0(1(2(1(2(2(2(1(0(2(0(2(0(z0))))))))))))))), 0'(0(1(2(1(2(2(2(1(0(2(0(2(0(z0)))))))))))))), 0'(1(2(1(2(2(2(1(0(2(0(2(0(z0))))))))))))), 1'(2(1(2(2(2(1(0(2(0(2(0(z0)))))))))))), 2'(1(2(2(2(1(0(2(0(2(0(z0))))))))))), 1'(2(2(2(1(0(2(0(2(0(z0)))))))))), 2'(2(2(1(0(2(0(2(0(z0))))))))), 2'(2(1(0(2(0(2(0(z0)))))))), 2'(1(0(2(0(2(0(z0))))))), 1'(0(2(0(2(0(z0)))))), 0'(2(0(2(0(z0))))), 2'(0(2(0(z0)))), 0'(2(0(z0))), 2'(0(z0)), 0'(z0)) 0'(c_0(c_1(c_2(c_0(c_1(c_0(c_0(c_2(c_0(c_1(c_1(c_0(c_1(c_2(c_1(c_1(c_2(c_2(c_1(c_1(c_0(c_2(z0))))))))))))))))))))))) -> c11(0'(2(2(2(0(1(1(2(1(2(2(1(2(1(0(2(2(2(1(2(1(1(0(0(1(0(2(z0))))))))))))))))))))))))))), 2'(2(2(0(1(1(2(1(2(2(1(2(1(0(2(2(2(1(2(1(1(0(0(1(0(2(z0)))))))))))))))))))))))))), 2'(2(0(1(1(2(1(2(2(1(2(1(0(2(2(2(1(2(1(1(0(0(1(0(2(z0))))))))))))))))))))))))), 2'(0(1(1(2(1(2(2(1(2(1(0(2(2(2(1(2(1(1(0(0(1(0(2(z0)))))))))))))))))))))))), 0'(1(1(2(1(2(2(1(2(1(0(2(2(2(1(2(1(1(0(0(1(0(2(z0))))))))))))))))))))))), 1'(1(2(1(2(2(1(2(1(0(2(2(2(1(2(1(1(0(0(1(0(2(z0)))))))))))))))))))))), 1'(2(1(2(2(1(2(1(0(2(2(2(1(2(1(1(0(0(1(0(2(z0))))))))))))))))))))), 2'(1(2(2(1(2(1(0(2(2(2(1(2(1(1(0(0(1(0(2(z0)))))))))))))))))))), 1'(2(2(1(2(1(0(2(2(2(1(2(1(1(0(0(1(0(2(z0))))))))))))))))))), 2'(2(1(2(1(0(2(2(2(1(2(1(1(0(0(1(0(2(z0)))))))))))))))))), 2'(1(2(1(0(2(2(2(1(2(1(1(0(0(1(0(2(z0))))))))))))))))), 1'(2(1(0(2(2(2(1(2(1(1(0(0(1(0(2(z0)))))))))))))))), 2'(1(0(2(2(2(1(2(1(1(0(0(1(0(2(z0))))))))))))))), 1'(0(2(2(2(1(2(1(1(0(0(1(0(2(z0)))))))))))))), 0'(2(2(2(1(2(1(1(0(0(1(0(2(z0))))))))))))), 2'(2(2(1(2(1(1(0(0(1(0(2(z0)))))))))))), 2'(2(1(2(1(1(0(0(1(0(2(z0))))))))))), 2'(1(2(1(1(0(0(1(0(2(z0)))))))))), 1'(2(1(1(0(0(1(0(2(z0))))))))), 2'(1(1(0(0(1(0(2(z0)))))))), 1'(1(0(0(1(0(2(z0))))))), 1'(0(0(1(0(2(z0)))))), 0'(0(1(0(2(z0))))), 0'(1(0(2(z0)))), 1'(0(2(z0))), 0'(2(z0)), 2'(z0)) 0'(c_1(c_1(c_1(c_1(c_2(c_1(c_1(c_2(c_2(c_0(c_1(c_0(c_1(c_1(c_0(c_2(c_0(c_0(c_2(c_0(c_1(c_0(z0))))))))))))))))))))))) -> c12(2'(2(2(2(2(1(0(1(2(2(0(1(1(1(2(2(1(1(0(0(0(0(2(2(1(2(2(z0))))))))))))))))))))))))))), 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2'(1(2(2(0(0(2(0(0(1(2(0(2(2(1(2(2(2(0(2(z0)))))))))))))))))))), 1'(2(2(0(0(2(0(0(1(2(0(2(2(1(2(2(2(0(2(z0))))))))))))))))))), 2'(2(0(0(2(0(0(1(2(0(2(2(1(2(2(2(0(2(z0)))))))))))))))))), 2'(0(0(2(0(0(1(2(0(2(2(1(2(2(2(0(2(z0))))))))))))))))), 0'(0(2(0(0(1(2(0(2(2(1(2(2(2(0(2(z0)))))))))))))))), 0'(2(0(0(1(2(0(2(2(1(2(2(2(0(2(z0))))))))))))))), 2'(0(0(1(2(0(2(2(1(2(2(2(0(2(z0)))))))))))))), 0'(0(1(2(0(2(2(1(2(2(2(0(2(z0))))))))))))), 0'(1(2(0(2(2(1(2(2(2(0(2(z0)))))))))))), 1'(2(0(2(2(1(2(2(2(0(2(z0))))))))))), 2'(0(2(2(1(2(2(2(0(2(z0)))))))))), 0'(2(2(1(2(2(2(0(2(z0))))))))), 2'(2(1(2(2(2(0(2(z0)))))))), 2'(1(2(2(2(0(2(z0))))))), 1'(2(2(2(0(2(z0)))))), 2'(2(2(0(2(z0))))), 2'(2(0(2(z0)))), 2'(0(2(z0))), 0'(2(z0)), 2'(z0)) 1'(c_0(c_1(c_0(c_2(c_2(c_2(c_2(c_1(c_0(c_0(c_2(c_0(c_2(c_1(c_2(c_1(c_2(c_1(c_1(c_2(c_0(c_2(z0))))))))))))))))))))))) -> c22(2'(1(2(0(2(0(2(0(2(2(2(2(1(2(1(2(2(2(1(1(2(1(0(1(1(2(2(z0))))))))))))))))))))))))))), 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2'(1(1(2(1(0(1(1(2(2(z0)))))))))), 1'(1(2(1(0(1(1(2(2(z0))))))))), 1'(2(1(0(1(1(2(2(z0)))))))), 2'(1(0(1(1(2(2(z0))))))), 1'(0(1(1(2(2(z0)))))), 0'(1(1(2(2(z0))))), 1'(1(2(2(z0)))), 1'(2(2(z0))), 2'(2(z0)), 2'(z0)) 1'(c_1(c_1(c_0(c_2(c_2(c_1(c_1(c_1(c_2(c_2(c_0(c_2(c_0(c_2(c_1(c_1(c_2(c_1(c_2(c_1(c_2(c_2(z0))))))))))))))))))))))) -> c23(1'(2(1(2(1(1(1(1(2(1(1(1(2(2(0(1(0(2(2(1(2(2(2(1(0(1(2(z0))))))))))))))))))))))))))), 2'(1(2(1(1(1(1(2(1(1(1(2(2(0(1(0(2(2(1(2(2(2(1(0(1(2(z0)))))))))))))))))))))))))), 1'(2(1(1(1(1(2(1(1(1(2(2(0(1(0(2(2(1(2(2(2(1(0(1(2(z0))))))))))))))))))))))))), 2'(1(1(1(1(2(1(1(1(2(2(0(1(0(2(2(1(2(2(2(1(0(1(2(z0)))))))))))))))))))))))), 1'(1(1(1(2(1(1(1(2(2(0(1(0(2(2(1(2(2(2(1(0(1(2(z0))))))))))))))))))))))), 1'(1(1(2(1(1(1(2(2(0(1(0(2(2(1(2(2(2(1(0(1(2(z0)))))))))))))))))))))), 1'(1(2(1(1(1(2(2(0(1(0(2(2(1(2(2(2(1(0(1(2(z0))))))))))))))))))))), 1'(2(1(1(1(2(2(0(1(0(2(2(1(2(2(2(1(0(1(2(z0)))))))))))))))))))), 2'(1(1(1(2(2(0(1(0(2(2(1(2(2(2(1(0(1(2(z0))))))))))))))))))), 1'(1(1(2(2(0(1(0(2(2(1(2(2(2(1(0(1(2(z0)))))))))))))))))), 1'(1(2(2(0(1(0(2(2(1(2(2(2(1(0(1(2(z0))))))))))))))))), 1'(2(2(0(1(0(2(2(1(2(2(2(1(0(1(2(z0)))))))))))))))), 2'(2(0(1(0(2(2(1(2(2(2(1(0(1(2(z0))))))))))))))), 2'(0(1(0(2(2(1(2(2(2(1(0(1(2(z0)))))))))))))), 0'(1(0(2(2(1(2(2(2(1(0(1(2(z0))))))))))))), 1'(0(2(2(1(2(2(2(1(0(1(2(z0)))))))))))), 0'(2(2(1(2(2(2(1(0(1(2(z0))))))))))), 2'(2(1(2(2(2(1(0(1(2(z0)))))))))), 2'(1(2(2(2(1(0(1(2(z0))))))))), 1'(2(2(2(1(0(1(2(z0)))))))), 2'(2(2(1(0(1(2(z0))))))), 2'(2(1(0(1(2(z0)))))), 2'(1(0(1(2(z0))))), 1'(0(1(2(z0)))), 0'(1(2(z0))), 1'(2(z0)), 2'(z0)) 1'(c_0(c_0(c_1(c_0(c_1(c_1(c_0(c_2(c_1(c_1(c_2(c_1(c_2(c_1(c_2(c_0(c_1(c_2(c_2(c_1(c_2(c_1(z0))))))))))))))))))))))) -> c24(1'(2(0(0(1(1(2(2(1(2(0(2(2(0(1(1(2(2(2(1(2(2(2(2(2(1(2(z0))))))))))))))))))))))))))), 2'(0(0(1(1(2(2(1(2(0(2(2(0(1(1(2(2(2(1(2(2(2(2(2(1(2(z0)))))))))))))))))))))))))), 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1'(2(1(0(2(1(0(0(1(0(1(1(2(1(2(2(2(z0))))))))))))))))), 2'(1(0(2(1(0(0(1(0(1(1(2(1(2(2(2(z0)))))))))))))))), 1'(0(2(1(0(0(1(0(1(1(2(1(2(2(2(z0))))))))))))))), 0'(2(1(0(0(1(0(1(1(2(1(2(2(2(z0)))))))))))))), 2'(1(0(0(1(0(1(1(2(1(2(2(2(z0))))))))))))), 1'(0(0(1(0(1(1(2(1(2(2(2(z0)))))))))))), 0'(0(1(0(1(1(2(1(2(2(2(z0))))))))))), 0'(1(0(1(1(2(1(2(2(2(z0)))))))))), 1'(0(1(1(2(1(2(2(2(z0))))))))), 0'(1(1(2(1(2(2(2(z0)))))))), 1'(1(2(1(2(2(2(z0))))))), 1'(2(1(2(2(2(z0)))))), 2'(1(2(2(2(z0))))), 1'(2(2(2(z0)))), 2'(2(2(z0))), 2'(2(z0)), 2'(z0)) 2'(c_2(c_0(c_0(c_1(c_0(c_1(c_2(c_2(c_2(c_1(c_1(c_0(c_0(c_1(c_2(c_2(c_1(c_2(c_0(c_1(c_2(c_1(z0))))))))))))))))))))))) -> c45(2'(2(2(2(0(2(0(2(2(1(2(1(0(1(1(2(2(0(0(2(1(2(1(2(1(2(0(z0))))))))))))))))))))))))))), 2'(2(2(0(2(0(2(2(1(2(1(0(1(1(2(2(0(0(2(1(2(1(2(1(2(0(z0)))))))))))))))))))))))))), 2'(2(0(2(0(2(2(1(2(1(0(1(1(2(2(0(0(2(1(2(1(2(1(2(0(z0))))))))))))))))))))))))), 2'(0(2(0(2(2(1(2(1(0(1(1(2(2(0(0(2(1(2(1(2(1(2(0(z0)))))))))))))))))))))))), 0'(2(0(2(2(1(2(1(0(1(1(2(2(0(0(2(1(2(1(2(1(2(0(z0))))))))))))))))))))))), 2'(0(2(2(1(2(1(0(1(1(2(2(0(0(2(1(2(1(2(1(2(0(z0)))))))))))))))))))))), 0'(2(2(1(2(1(0(1(1(2(2(0(0(2(1(2(1(2(1(2(0(z0))))))))))))))))))))), 2'(2(1(2(1(0(1(1(2(2(0(0(2(1(2(1(2(1(2(0(z0)))))))))))))))))))), 2'(1(2(1(0(1(1(2(2(0(0(2(1(2(1(2(1(2(0(z0))))))))))))))))))), 1'(2(1(0(1(1(2(2(0(0(2(1(2(1(2(1(2(0(z0)))))))))))))))))), 2'(1(0(1(1(2(2(0(0(2(1(2(1(2(1(2(0(z0))))))))))))))))), 1'(0(1(1(2(2(0(0(2(1(2(1(2(1(2(0(z0)))))))))))))))), 0'(1(1(2(2(0(0(2(1(2(1(2(1(2(0(z0))))))))))))))), 1'(1(2(2(0(0(2(1(2(1(2(1(2(0(z0)))))))))))))), 1'(2(2(0(0(2(1(2(1(2(1(2(0(z0))))))))))))), 2'(2(0(0(2(1(2(1(2(1(2(0(z0)))))))))))), 2'(0(0(2(1(2(1(2(1(2(0(z0))))))))))), 0'(0(2(1(2(1(2(1(2(0(z0)))))))))), 0'(2(1(2(1(2(1(2(0(z0))))))))), 2'(1(2(1(2(1(2(0(z0)))))))), 1'(2(1(2(1(2(0(z0))))))), 2'(1(2(1(2(0(z0)))))), 1'(2(1(2(0(z0))))), 2'(1(2(0(z0)))), 1'(2(0(z0))), 2'(0(z0)), 0'(z0)) 2'(c_2(c_1(c_1(c_2(c_2(c_1(c_2(c_1(c_1(c_1(c_0(c_0(c_2(c_1(c_1(c_0(c_2(c_0(c_0(c_1(c_1(c_2(z0))))))))))))))))))))))) -> c46(2'(1(1(1(2(2(2(1(1(0(2(2(1(0(1(0(2(2(1(2(0(0(0(1(2(1(2(z0))))))))))))))))))))))))))), 1'(1(1(2(2(2(1(1(0(2(2(1(0(1(0(2(2(1(2(0(0(0(1(2(1(2(z0)))))))))))))))))))))))))), 1'(1(2(2(2(1(1(0(2(2(1(0(1(0(2(2(1(2(0(0(0(1(2(1(2(z0))))))))))))))))))))))))), 1'(2(2(2(1(1(0(2(2(1(0(1(0(2(2(1(2(0(0(0(1(2(1(2(z0)))))))))))))))))))))))), 2'(2(2(1(1(0(2(2(1(0(1(0(2(2(1(2(0(0(0(1(2(1(2(z0))))))))))))))))))))))), 2'(2(1(1(0(2(2(1(0(1(0(2(2(1(2(0(0(0(1(2(1(2(z0)))))))))))))))))))))), 2'(1(1(0(2(2(1(0(1(0(2(2(1(2(0(0(0(1(2(1(2(z0))))))))))))))))))))), 1'(1(0(2(2(1(0(1(0(2(2(1(2(0(0(0(1(2(1(2(z0)))))))))))))))))))), 1'(0(2(2(1(0(1(0(2(2(1(2(0(0(0(1(2(1(2(z0))))))))))))))))))), 0'(2(2(1(0(1(0(2(2(1(2(0(0(0(1(2(1(2(z0)))))))))))))))))), 2'(2(1(0(1(0(2(2(1(2(0(0(0(1(2(1(2(z0))))))))))))))))), 2'(1(0(1(0(2(2(1(2(0(0(0(1(2(1(2(z0)))))))))))))))), 1'(0(1(0(2(2(1(2(0(0(0(1(2(1(2(z0))))))))))))))), 0'(1(0(2(2(1(2(0(0(0(1(2(1(2(z0)))))))))))))), 1'(0(2(2(1(2(0(0(0(1(2(1(2(z0))))))))))))), 0'(2(2(1(2(0(0(0(1(2(1(2(z0)))))))))))), 2'(2(1(2(0(0(0(1(2(1(2(z0))))))))))), 2'(1(2(0(0(0(1(2(1(2(z0)))))))))), 1'(2(0(0(0(1(2(1(2(z0))))))))), 2'(0(0(0(1(2(1(2(z0)))))))), 0'(0(0(1(2(1(2(z0))))))), 0'(0(1(2(1(2(z0)))))), 0'(1(2(1(2(z0))))), 1'(2(1(2(z0)))), 2'(1(2(z0))), 1'(2(z0)), 2'(z0)) 2'(c_2(c_0(c_1(c_1(c_0(c_0(c_1(c_2(c_1(c_0(c_2(c_1(c_2(c_2(c_2(c_1(c_0(c_0(c_2(c_2(c_2(c_0(z0))))))))))))))))))))))) -> c47(2'(2(1(0(0(0(0(2(2(1(1(2(2(1(0(2(1(2(1(2(2(1(2(2(2(0(0(z0))))))))))))))))))))))))))), 2'(1(0(0(0(0(2(2(1(1(2(2(1(0(2(1(2(1(2(2(1(2(2(2(0(0(z0)))))))))))))))))))))))))), 1'(0(0(0(0(2(2(1(1(2(2(1(0(2(1(2(1(2(2(1(2(2(2(0(0(z0))))))))))))))))))))))))), 0'(0(0(0(2(2(1(1(2(2(1(0(2(1(2(1(2(2(1(2(2(2(0(0(z0)))))))))))))))))))))))), 0'(0(0(2(2(1(1(2(2(1(0(2(1(2(1(2(2(1(2(2(2(0(0(z0))))))))))))))))))))))), 0'(0(2(2(1(1(2(2(1(0(2(1(2(1(2(2(1(2(2(2(0(0(z0)))))))))))))))))))))), 0'(2(2(1(1(2(2(1(0(2(1(2(1(2(2(1(2(2(2(0(0(z0))))))))))))))))))))), 2'(2(1(1(2(2(1(0(2(1(2(1(2(2(1(2(2(2(0(0(z0)))))))))))))))))))), 2'(1(1(2(2(1(0(2(1(2(1(2(2(1(2(2(2(0(0(z0))))))))))))))))))), 1'(1(2(2(1(0(2(1(2(1(2(2(1(2(2(2(0(0(z0)))))))))))))))))), 1'(2(2(1(0(2(1(2(1(2(2(1(2(2(2(0(0(z0))))))))))))))))), 2'(2(1(0(2(1(2(1(2(2(1(2(2(2(0(0(z0)))))))))))))))), 2'(1(0(2(1(2(1(2(2(1(2(2(2(0(0(z0))))))))))))))), 1'(0(2(1(2(1(2(2(1(2(2(2(0(0(z0)))))))))))))), 0'(2(1(2(1(2(2(1(2(2(2(0(0(z0))))))))))))), 2'(1(2(1(2(2(1(2(2(2(0(0(z0)))))))))))), 1'(2(1(2(2(1(2(2(2(0(0(z0))))))))))), 2'(1(2(2(1(2(2(2(0(0(z0)))))))))), 1'(2(2(1(2(2(2(0(0(z0))))))))), 2'(2(1(2(2(2(0(0(z0)))))))), 2'(1(2(2(2(0(0(z0))))))), 1'(2(2(2(0(0(z0)))))), 2'(2(2(0(0(z0))))), 2'(2(0(0(z0)))), 2'(0(0(z0))), 0'(0(z0)), 0'(z0)) 2'(c_1(c_2(c_1(c_0(c_2(c_1(c_2(c_0(c_0(c_0(c_0(c_2(c_0(c_0(c_0(c_2(c_2(c_0(c_0(c_0(c_0(c_1(z0))))))))))))))))))))))) -> c48(2'(1(2(1(2(0(0(2(1(0(0(2(2(0(1(0(2(1(2(1(2(2(1(2(1(1(2(z0))))))))))))))))))))))))))), 1'(2(1(2(0(0(2(1(0(0(2(2(0(1(0(2(1(2(1(2(2(1(2(1(1(2(z0)))))))))))))))))))))))))), 2'(1(2(0(0(2(1(0(0(2(2(0(1(0(2(1(2(1(2(2(1(2(1(1(2(z0))))))))))))))))))))))))), 1'(2(0(0(2(1(0(0(2(2(0(1(0(2(1(2(1(2(2(1(2(1(1(2(z0)))))))))))))))))))))))), 2'(0(0(2(1(0(0(2(2(0(1(0(2(1(2(1(2(2(1(2(1(1(2(z0))))))))))))))))))))))), 0'(0(2(1(0(0(2(2(0(1(0(2(1(2(1(2(2(1(2(1(1(2(z0)))))))))))))))))))))), 0'(2(1(0(0(2(2(0(1(0(2(1(2(1(2(2(1(2(1(1(2(z0))))))))))))))))))))), 2'(1(0(0(2(2(0(1(0(2(1(2(1(2(2(1(2(1(1(2(z0)))))))))))))))))))), 1'(0(0(2(2(0(1(0(2(1(2(1(2(2(1(2(1(1(2(z0))))))))))))))))))), 0'(0(2(2(0(1(0(2(1(2(1(2(2(1(2(1(1(2(z0)))))))))))))))))), 0'(2(2(0(1(0(2(1(2(1(2(2(1(2(1(1(2(z0))))))))))))))))), 2'(2(0(1(0(2(1(2(1(2(2(1(2(1(1(2(z0)))))))))))))))), 2'(0(1(0(2(1(2(1(2(2(1(2(1(1(2(z0))))))))))))))), 0'(1(0(2(1(2(1(2(2(1(2(1(1(2(z0)))))))))))))), 1'(0(2(1(2(1(2(2(1(2(1(1(2(z0))))))))))))), 0'(2(1(2(1(2(2(1(2(1(1(2(z0)))))))))))), 2'(1(2(1(2(2(1(2(1(1(2(z0))))))))))), 1'(2(1(2(2(1(2(1(1(2(z0)))))))))), 2'(1(2(2(1(2(1(1(2(z0))))))))), 1'(2(2(1(2(1(1(2(z0)))))))), 2'(2(1(2(1(1(2(z0))))))), 2'(1(2(1(1(2(z0)))))), 1'(2(1(1(2(z0))))), 2'(1(1(2(z0)))), 1'(1(2(z0))), 1'(2(z0)), 2'(z0)) K tuples:none Defined Rule Symbols: 1_1, 2_1, 0_1, encArg_1, encode_0_1, encode_1_1, encode_2_1 Defined Pair Symbols: ENCARG_1, 0'_1, 1'_1, 2'_1, ENCODE_0_1, ENCODE_1_1, ENCODE_2_1 Compound Symbols: c_2, c1_2, c2_2, c7_27, c8_27, c9_27, c10_27, c11_27, c12_27, c13_27, c14_27, c15_27, c16_27, c18_27, c19_27, c20_27, c21_27, c22_27, c23_27, c24_27, c25_27, c26_27, c27_27, c28_27, c30_27, c31_27, c32_27, c33_27, c34_27, c35_27, c36_27, c37_27, c38_27, c39_27, c40_27, c41_27, c42_27, c43_27, c44_27, c45_27, c46_27, c47_27, c48_27, c6_1 ---------------------------------------- (45) CdtLeafRemovalProof (ComplexityIfPolyImplication) Removed 3 leading nodes: ENCODE_0(z0) -> c6(ENCARG(z0)) ENCODE_1(z0) -> c6(ENCARG(z0)) ENCODE_2(z0) -> c6(ENCARG(z0)) ---------------------------------------- (46) Obligation: Complexity Dependency Tuples Problem Rules: encArg(cons_0(z0)) -> 0(encArg(z0)) encArg(cons_1(z0)) -> 1(encArg(z0)) encArg(cons_2(z0)) -> 2(encArg(z0)) encode_0(z0) -> 0(encArg(z0)) encode_1(z0) -> 1(encArg(z0)) encode_2(z0) -> 2(encArg(z0)) 0(z0) -> c_0(z0) 0(c_0(c_2(c_0(c_2(c_2(c_1(c_2(c_1(c_1(c_2(c_1(c_1(c_2(c_1(c_0(c_0(c_0(c_0(c_1(c_1(c_2(c_1(z0))))))))))))))))))))))) -> 0(0(1(2(2(1(1(2(2(1(1(2(2(2(2(0(1(2(1(2(1(1(1(0(1(2(2(z0))))))))))))))))))))))))))) 0(c_1(c_1(c_1(c_2(c_2(c_1(c_0(c_0(c_2(c_2(c_2(c_2(c_0(c_2(c_0(c_0(c_0(c_0(c_1(c_0(c_0(c_2(z0))))))))))))))))))))))) -> 0(2(1(1(1(1(2(2(1(1(0(1(1(2(1(2(1(0(0(1(2(2(1(0(0(2(2(z0))))))))))))))))))))))))))) 0(c_1(c_1(c_0(c_1(c_1(c_1(c_2(c_2(c_0(c_2(c_0(c_1(c_2(c_2(c_2(c_0(c_1(c_2(c_0(c_1(c_0(c_2(z0))))))))))))))))))))))) -> 0(2(0(1(0(2(0(2(2(2(1(2(1(1(2(2(2(2(2(2(2(1(0(0(0(2(2(z0))))))))))))))))))))))))))) 0(c_1(c_0(c_0(c_1(c_2(c_2(c_1(c_0(c_1(c_2(c_1(c_2(c_0(c_1(c_0(c_2(c_2(c_0(c_1(c_2(c_1(c_0(z0))))))))))))))))))))))) -> 0(0(0(1(2(2(2(2(2(2(2(0(0(0(0(1(2(1(2(2(2(1(0(2(0(2(0(z0))))))))))))))))))))))))))) 0(c_0(c_1(c_2(c_0(c_1(c_0(c_0(c_2(c_0(c_1(c_1(c_0(c_1(c_2(c_1(c_1(c_2(c_2(c_1(c_1(c_0(c_2(z0))))))))))))))))))))))) -> 0(2(2(2(0(1(1(2(1(2(2(1(2(1(0(2(2(2(1(2(1(1(0(0(1(0(2(z0))))))))))))))))))))))))))) 0(c_1(c_1(c_1(c_1(c_2(c_1(c_1(c_2(c_2(c_0(c_1(c_0(c_1(c_1(c_0(c_2(c_0(c_0(c_2(c_0(c_1(c_0(z0))))))))))))))))))))))) -> 2(2(2(2(2(1(0(1(2(2(0(1(1(1(2(2(1(1(0(0(0(0(2(2(1(2(2(z0))))))))))))))))))))))))))) 0(c_1(c_2(c_1(c_1(c_2(c_2(c_2(c_1(c_1(c_0(c_0(c_1(c_0(c_2(c_0(c_2(c_2(c_1(c_0(c_2(c_1(c_1(z0))))))))))))))))))))))) -> 2(1(2(1(2(1(2(2(0(2(0(1(2(1(2(1(2(0(1(2(0(0(2(2(1(1(2(z0))))))))))))))))))))))))))) 0(c_0(c_1(c_0(c_2(c_2(c_1(c_2(c_0(c_0(c_1(c_2(c_0(c_2(c_2(c_2(c_1(c_1(c_2(c_0(c_0(c_2(c_1(z0))))))))))))))))))))))) -> 0(1(1(1(0(2(1(2(1(2(0(1(1(2(1(1(2(2(2(2(2(0(2(2(2(1(2(z0))))))))))))))))))))))))))) 0(c_0(c_0(c_0(c_1(c_0(c_0(c_2(c_2(c_1(c_0(c_2(c_0(c_2(c_1(c_1(c_2(c_1(c_2(c_2(c_0(c_1(c_1(z0))))))))))))))))))))))) -> 0(1(2(0(0(2(1(2(2(1(1(2(1(1(1(1(2(2(2(1(2(1(0(2(1(1(0(z0))))))))))))))))))))))))))) 0(c_0(c_0(c_2(c_2(c_0(c_2(c_2(c_2(c_1(c_1(c_0(c_2(c_2(c_1(c_2(c_1(c_0(c_2(c_0(c_0(c_0(c_1(z0))))))))))))))))))))))) -> 2(0(1(1(1(2(2(1(1(2(2(2(2(1(0(1(2(1(1(2(2(2(1(2(1(2(2(z0))))))))))))))))))))))))))) 1(z0) -> c_1(z0) 1(c_2(c_0(c_0(c_2(c_0(c_1(c_2(c_2(c_0(c_2(c_1(c_2(c_1(c_2(c_0(c_1(c_0(c_1(c_2(c_0(c_2(c_1(z0))))))))))))))))))))))) -> 1(2(2(0(2(1(2(2(0(1(0(2(1(0(1(2(1(2(2(2(2(0(2(2(0(2(0(z0))))))))))))))))))))))))))) 1(c_1(c_0(c_2(c_1(c_2(c_2(c_2(c_2(c_1(c_0(c_1(c_2(c_0(c_1(c_2(c_1(c_1(c_0(c_2(c_1(c_2(c_0(z0))))))))))))))))))))))) -> 2(2(1(2(1(2(2(1(0(1(2(2(2(1(0(2(1(1(2(1(0(1(1(1(2(2(2(z0))))))))))))))))))))))))))) 1(c_1(c_0(c_1(c_2(c_2(c_2(c_2(c_1(c_0(c_2(c_1(c_2(c_0(c_0(c_0(c_1(c_0(c_2(c_1(c_1(c_1(c_2(z0))))))))))))))))))))))) -> 2(1(2(1(2(2(2(2(2(0(0(0(0(2(1(2(2(2(2(1(2(2(2(0(0(2(2(z0))))))))))))))))))))))))))) 1(c_1(c_2(c_2(c_1(c_0(c_2(c_0(c_1(c_1(c_2(c_2(c_2(c_1(c_0(c_1(c_0(c_0(c_2(c_1(c_1(c_0(c_2(z0))))))))))))))))))))))) -> 2(2(2(1(1(2(2(2(1(2(2(0(0(2(0(0(1(2(0(2(2(1(2(2(2(0(2(z0))))))))))))))))))))))))))) 1(c_0(c_1(c_0(c_2(c_2(c_2(c_2(c_1(c_0(c_0(c_2(c_0(c_2(c_1(c_2(c_1(c_2(c_1(c_1(c_2(c_0(c_2(z0))))))))))))))))))))))) -> 2(1(2(0(2(0(2(0(2(2(2(2(1(2(1(2(2(2(1(1(2(1(0(1(1(2(2(z0))))))))))))))))))))))))))) 1(c_1(c_1(c_0(c_2(c_2(c_1(c_1(c_1(c_2(c_2(c_0(c_2(c_0(c_2(c_1(c_1(c_2(c_1(c_2(c_1(c_2(c_2(z0))))))))))))))))))))))) -> 1(2(1(2(1(1(1(1(2(1(1(1(2(2(0(1(0(2(2(1(2(2(2(1(0(1(2(z0))))))))))))))))))))))))))) 1(c_0(c_0(c_1(c_0(c_1(c_1(c_0(c_2(c_1(c_1(c_2(c_1(c_2(c_1(c_2(c_0(c_1(c_2(c_2(c_1(c_2(c_1(z0))))))))))))))))))))))) -> 1(2(0(0(1(1(2(2(1(2(0(2(2(0(1(1(2(2(2(1(2(2(2(2(2(1(2(z0))))))))))))))))))))))))))) 1(c_2(c_2(c_2(c_1(c_1(c_0(c_0(c_2(c_2(c_2(c_0(c_0(c_0(c_2(c_1(c_2(c_2(c_0(c_2(c_0(c_2(c_0(z0))))))))))))))))))))))) -> 1(2(1(2(0(0(1(1(1(2(2(2(2(1(2(2(2(0(2(0(1(2(2(2(2(0(0(z0))))))))))))))))))))))))))) 1(c_2(c_0(c_2(c_1(c_2(c_2(c_1(c_2(c_2(c_2(c_0(c_1(c_1(c_1(c_1(c_0(c_1(c_0(c_0(c_2(c_0(c_1(z0))))))))))))))))))))))) -> 1(2(1(2(1(2(2(2(2(2(2(0(0(2(0(0(2(2(0(1(1(1(1(0(0(2(1(z0))))))))))))))))))))))))))) 1(c_1(c_0(c_2(c_1(c_0(c_2(c_0(c_1(c_2(c_0(c_2(c_0(c_0(c_2(c_1(c_0(c_1(c_0(c_1(c_2(c_1(c_2(z0))))))))))))))))))))))) -> 2(0(2(2(1(1(1(2(2(0(1(2(0(2(1(1(2(1(0(0(2(0(1(2(2(2(2(z0))))))))))))))))))))))))))) 1(c_1(c_0(c_0(c_1(c_1(c_1(c_2(c_2(c_2(c_1(c_2(c_1(c_0(c_0(c_0(c_2(c_2(c_2(c_0(c_1(c_2(c_0(z0))))))))))))))))))))))) -> 2(1(2(1(2(2(2(1(2(2(0(2(2(1(0(2(1(2(2(0(1(0(1(1(2(2(2(z0))))))))))))))))))))))))))) 2(z0) -> c_2(z0) 2(c_2(c_1(c_1(c_1(c_0(c_0(c_2(c_1(c_0(c_2(c_1(c_2(c_0(c_0(c_2(c_1(c_0(c_1(c_1(c_2(c_2(c_1(z0))))))))))))))))))))))) -> 2(1(2(2(0(1(2(1(1(0(1(2(1(0(0(1(2(2(1(2(1(0(2(1(2(2(1(z0))))))))))))))))))))))))))) 2(c_2(c_1(c_1(c_2(c_0(c_0(c_2(c_2(c_2(c_2(c_1(c_1(c_1(c_1(c_1(c_2(c_1(c_2(c_0(c_0(c_1(c_1(z0))))))))))))))))))))))) -> 2(2(1(1(2(2(1(2(1(2(2(0(0(0(2(1(0(2(2(1(2(2(0(1(1(2(2(z0))))))))))))))))))))))))))) 2(c_1(c_0(c_1(c_0(c_0(c_2(c_2(c_2(c_0(c_1(c_0(c_0(c_2(c_0(c_0(c_1(c_2(c_0(c_2(c_2(c_2(c_0(z0))))))))))))))))))))))) -> 2(1(1(2(0(1(2(0(0(2(0(1(2(2(1(1(1(2(2(2(0(0(1(1(0(2(0(z0))))))))))))))))))))))))))) 2(c_0(c_2(c_0(c_1(c_0(c_1(c_1(c_2(c_0(c_1(c_1(c_2(c_2(c_1(c_0(c_2(c_0(c_2(c_0(c_2(c_2(c_2(z0))))))))))))))))))))))) -> 2(0(0(1(1(2(0(2(2(1(1(2(2(0(1(2(2(2(0(0(2(0(2(2(2(0(2(z0))))))))))))))))))))))))))) 2(c_2(c_0(c_1(c_2(c_2(c_2(c_0(c_2(c_2(c_2(c_0(c_2(c_2(c_2(c_2(c_1(c_0(c_1(c_0(c_0(c_1(c_0(z0))))))))))))))))))))))) -> 2(2(0(1(1(2(2(2(1(1(2(1(0(0(1(2(2(1(2(1(0(2(2(0(0(2(0(z0))))))))))))))))))))))))))) 2(c_2(c_1(c_1(c_1(c_2(c_0(c_1(c_1(c_2(c_2(c_0(c_1(c_1(c_1(c_1(c_1(c_2(c_2(c_2(c_0(c_2(c_1(z0))))))))))))))))))))))) -> 1(2(1(2(2(1(1(1(1(2(2(2(1(2(0(0(0(1(2(0(0(1(2(2(2(2(2(z0))))))))))))))))))))))))))) 2(c_1(c_1(c_0(c_2(c_2(c_2(c_0(c_1(c_2(c_1(c_1(c_0(c_1(c_2(c_0(c_0(c_1(c_1(c_1(c_1(c_2(c_2(z0))))))))))))))))))))))) -> 2(0(0(2(1(0(0(0(0(0(1(2(1(1(2(1(1(2(1(2(2(0(1(1(1(2(2(z0))))))))))))))))))))))))))) 2(c_2(c_1(c_2(c_1(c_2(c_2(c_2(c_0(c_1(c_2(c_1(c_2(c_2(c_2(c_2(c_1(c_1(c_0(c_1(c_0(c_1(c_0(z0))))))))))))))))))))))) -> 1(2(1(2(1(2(0(1(2(2(0(1(1(1(2(2(1(1(1(2(2(0(1(0(1(2(2(z0))))))))))))))))))))))))))) 2(c_0(c_2(c_0(c_1(c_2(c_2(c_0(c_0(c_2(c_2(c_2(c_1(c_1(c_1(c_2(c_1(c_0(c_2(c_0(c_2(c_2(c_0(z0))))))))))))))))))))))) -> 2(1(1(1(2(2(0(0(0(2(1(0(0(0(1(1(0(2(2(0(2(2(2(2(2(2(0(z0))))))))))))))))))))))))))) 2(c_2(c_0(c_0(c_2(c_1(c_2(c_0(c_1(c_2(c_0(c_2(c_1(c_0(c_1(c_1(c_2(c_2(c_1(c_0(c_1(c_0(c_2(z0))))))))))))))))))))))) -> 2(2(2(2(1(2(1(2(0(2(2(2(2(2(0(1(2(0(2(1(0(0(0(2(0(2(2(z0))))))))))))))))))))))))))) 2(c_2(c_2(c_0(c_0(c_1(c_0(c_0(c_2(c_0(c_0(c_2(c_1(c_1(c_2(c_1(c_0(c_1(c_2(c_2(c_2(c_1(c_0(z0))))))))))))))))))))))) -> 1(2(2(2(2(0(1(2(1(2(0(1(2(1(2(1(0(1(0(1(0(1(1(2(2(1(0(z0))))))))))))))))))))))))))) 2(c_1(c_0(c_1(c_1(c_2(c_0(c_0(c_2(c_1(c_0(c_0(c_0(c_1(c_2(c_1(c_1(c_2(c_0(c_2(c_1(c_2(c_1(z0))))))))))))))))))))))) -> 2(0(2(2(0(0(2(2(1(1(1(2(0(1(0(1(2(2(2(2(2(0(0(0(2(2(1(z0))))))))))))))))))))))))))) 2(c_2(c_1(c_2(c_2(c_0(c_0(c_2(c_1(c_1(c_0(c_2(c_2(c_0(c_2(c_2(c_0(c_2(c_2(c_1(c_2(c_0(c_2(z0))))))))))))))))))))))) -> 1(2(1(1(1(2(2(2(1(2(1(0(2(1(1(1(1(2(2(0(0(1(1(0(2(1(2(z0))))))))))))))))))))))))))) 2(c_2(c_0(c_0(c_1(c_2(c_1(c_1(c_2(c_1(c_0(c_0(c_0(c_0(c_0(c_2(c_1(c_2(c_1(c_1(c_2(c_0(c_2(z0))))))))))))))))))))))) -> 2(1(1(2(2(2(2(1(2(1(0(0(2(1(0(2(2(0(1(1(0(2(0(0(0(0(2(z0))))))))))))))))))))))))))) 2(c_0(c_1(c_0(c_0(c_0(c_1(c_0(c_0(c_0(c_0(c_0(c_0(c_0(c_1(c_0(c_2(c_0(c_0(c_2(c_2(c_2(c_2(z0))))))))))))))))))))))) -> 2(2(2(1(1(2(1(2(0(1(1(2(1(0(2(1(0(0(1(0(1(1(2(1(2(2(2(z0))))))))))))))))))))))))))) 2(c_2(c_0(c_0(c_1(c_0(c_1(c_2(c_2(c_2(c_1(c_1(c_0(c_0(c_1(c_2(c_2(c_1(c_2(c_0(c_1(c_2(c_1(z0))))))))))))))))))))))) -> 2(2(2(2(0(2(0(2(2(1(2(1(0(1(1(2(2(0(0(2(1(2(1(2(1(2(0(z0))))))))))))))))))))))))))) 2(c_2(c_1(c_1(c_2(c_2(c_1(c_2(c_1(c_1(c_1(c_0(c_0(c_2(c_1(c_1(c_0(c_2(c_0(c_0(c_1(c_1(c_2(z0))))))))))))))))))))))) -> 2(1(1(1(2(2(2(1(1(0(2(2(1(0(1(0(2(2(1(2(0(0(0(1(2(1(2(z0))))))))))))))))))))))))))) 2(c_2(c_0(c_1(c_1(c_0(c_0(c_1(c_2(c_1(c_0(c_2(c_1(c_2(c_2(c_2(c_1(c_0(c_0(c_2(c_2(c_2(c_0(z0))))))))))))))))))))))) -> 2(2(1(0(0(0(0(2(2(1(1(2(2(1(0(2(1(2(1(2(2(1(2(2(2(0(0(z0))))))))))))))))))))))))))) 2(c_1(c_2(c_1(c_0(c_2(c_1(c_2(c_0(c_0(c_0(c_0(c_2(c_0(c_0(c_0(c_2(c_2(c_0(c_0(c_0(c_0(c_1(z0))))))))))))))))))))))) -> 2(1(2(1(2(0(0(2(1(0(0(2(2(0(1(0(2(1(2(1(2(2(1(2(1(1(2(z0))))))))))))))))))))))))))) Tuples: ENCARG(cons_0(z0)) -> c(0'(encArg(z0)), ENCARG(z0)) ENCARG(cons_1(z0)) -> c1(1'(encArg(z0)), ENCARG(z0)) ENCARG(cons_2(z0)) -> c2(2'(encArg(z0)), ENCARG(z0)) 0'(c_0(c_2(c_0(c_2(c_2(c_1(c_2(c_1(c_1(c_2(c_1(c_1(c_2(c_1(c_0(c_0(c_0(c_0(c_1(c_1(c_2(c_1(z0))))))))))))))))))))))) -> c7(0'(0(1(2(2(1(1(2(2(1(1(2(2(2(2(0(1(2(1(2(1(1(1(0(1(2(2(z0))))))))))))))))))))))))))), 0'(1(2(2(1(1(2(2(1(1(2(2(2(2(0(1(2(1(2(1(1(1(0(1(2(2(z0)))))))))))))))))))))))))), 1'(2(2(1(1(2(2(1(1(2(2(2(2(0(1(2(1(2(1(1(1(0(1(2(2(z0))))))))))))))))))))))))), 2'(2(1(1(2(2(1(1(2(2(2(2(0(1(2(1(2(1(1(1(0(1(2(2(z0)))))))))))))))))))))))), 2'(1(1(2(2(1(1(2(2(2(2(0(1(2(1(2(1(1(1(0(1(2(2(z0))))))))))))))))))))))), 1'(1(2(2(1(1(2(2(2(2(0(1(2(1(2(1(1(1(0(1(2(2(z0)))))))))))))))))))))), 1'(2(2(1(1(2(2(2(2(0(1(2(1(2(1(1(1(0(1(2(2(z0))))))))))))))))))))), 2'(2(1(1(2(2(2(2(0(1(2(1(2(1(1(1(0(1(2(2(z0)))))))))))))))))))), 2'(1(1(2(2(2(2(0(1(2(1(2(1(1(1(0(1(2(2(z0))))))))))))))))))), 1'(1(2(2(2(2(0(1(2(1(2(1(1(1(0(1(2(2(z0)))))))))))))))))), 1'(2(2(2(2(0(1(2(1(2(1(1(1(0(1(2(2(z0))))))))))))))))), 2'(2(2(2(0(1(2(1(2(1(1(1(0(1(2(2(z0)))))))))))))))), 2'(2(2(0(1(2(1(2(1(1(1(0(1(2(2(z0))))))))))))))), 2'(2(0(1(2(1(2(1(1(1(0(1(2(2(z0)))))))))))))), 2'(0(1(2(1(2(1(1(1(0(1(2(2(z0))))))))))))), 0'(1(2(1(2(1(1(1(0(1(2(2(z0)))))))))))), 1'(2(1(2(1(1(1(0(1(2(2(z0))))))))))), 2'(1(2(1(1(1(0(1(2(2(z0)))))))))), 1'(2(1(1(1(0(1(2(2(z0))))))))), 2'(1(1(1(0(1(2(2(z0)))))))), 1'(1(1(0(1(2(2(z0))))))), 1'(1(0(1(2(2(z0)))))), 1'(0(1(2(2(z0))))), 0'(1(2(2(z0)))), 1'(2(2(z0))), 2'(2(z0)), 2'(z0)) 0'(c_1(c_1(c_1(c_2(c_2(c_1(c_0(c_0(c_2(c_2(c_2(c_2(c_0(c_2(c_0(c_0(c_0(c_0(c_1(c_0(c_0(c_2(z0))))))))))))))))))))))) -> c8(0'(2(1(1(1(1(2(2(1(1(0(1(1(2(1(2(1(0(0(1(2(2(1(0(0(2(2(z0))))))))))))))))))))))))))), 2'(1(1(1(1(2(2(1(1(0(1(1(2(1(2(1(0(0(1(2(2(1(0(0(2(2(z0)))))))))))))))))))))))))), 1'(1(1(1(2(2(1(1(0(1(1(2(1(2(1(0(0(1(2(2(1(0(0(2(2(z0))))))))))))))))))))))))), 1'(1(1(2(2(1(1(0(1(1(2(1(2(1(0(0(1(2(2(1(0(0(2(2(z0)))))))))))))))))))))))), 1'(1(2(2(1(1(0(1(1(2(1(2(1(0(0(1(2(2(1(0(0(2(2(z0))))))))))))))))))))))), 1'(2(2(1(1(0(1(1(2(1(2(1(0(0(1(2(2(1(0(0(2(2(z0)))))))))))))))))))))), 2'(2(1(1(0(1(1(2(1(2(1(0(0(1(2(2(1(0(0(2(2(z0))))))))))))))))))))), 2'(1(1(0(1(1(2(1(2(1(0(0(1(2(2(1(0(0(2(2(z0)))))))))))))))))))), 1'(1(0(1(1(2(1(2(1(0(0(1(2(2(1(0(0(2(2(z0))))))))))))))))))), 1'(0(1(1(2(1(2(1(0(0(1(2(2(1(0(0(2(2(z0)))))))))))))))))), 0'(1(1(2(1(2(1(0(0(1(2(2(1(0(0(2(2(z0))))))))))))))))), 1'(1(2(1(2(1(0(0(1(2(2(1(0(0(2(2(z0)))))))))))))))), 1'(2(1(2(1(0(0(1(2(2(1(0(0(2(2(z0))))))))))))))), 2'(1(2(1(0(0(1(2(2(1(0(0(2(2(z0)))))))))))))), 1'(2(1(0(0(1(2(2(1(0(0(2(2(z0))))))))))))), 2'(1(0(0(1(2(2(1(0(0(2(2(z0)))))))))))), 1'(0(0(1(2(2(1(0(0(2(2(z0))))))))))), 0'(0(1(2(2(1(0(0(2(2(z0)))))))))), 0'(1(2(2(1(0(0(2(2(z0))))))))), 1'(2(2(1(0(0(2(2(z0)))))))), 2'(2(1(0(0(2(2(z0))))))), 2'(1(0(0(2(2(z0)))))), 1'(0(0(2(2(z0))))), 0'(0(2(2(z0)))), 0'(2(2(z0))), 2'(2(z0)), 2'(z0)) 0'(c_1(c_1(c_0(c_1(c_1(c_1(c_2(c_2(c_0(c_2(c_0(c_1(c_2(c_2(c_2(c_0(c_1(c_2(c_0(c_1(c_0(c_2(z0))))))))))))))))))))))) -> c9(0'(2(0(1(0(2(0(2(2(2(1(2(1(1(2(2(2(2(2(2(2(1(0(0(0(2(2(z0))))))))))))))))))))))))))), 2'(0(1(0(2(0(2(2(2(1(2(1(1(2(2(2(2(2(2(2(1(0(0(0(2(2(z0)))))))))))))))))))))))))), 0'(1(0(2(0(2(2(2(1(2(1(1(2(2(2(2(2(2(2(1(0(0(0(2(2(z0))))))))))))))))))))))))), 1'(0(2(0(2(2(2(1(2(1(1(2(2(2(2(2(2(2(1(0(0(0(2(2(z0)))))))))))))))))))))))), 0'(2(0(2(2(2(1(2(1(1(2(2(2(2(2(2(2(1(0(0(0(2(2(z0))))))))))))))))))))))), 2'(0(2(2(2(1(2(1(1(2(2(2(2(2(2(2(1(0(0(0(2(2(z0)))))))))))))))))))))), 0'(2(2(2(1(2(1(1(2(2(2(2(2(2(2(1(0(0(0(2(2(z0))))))))))))))))))))), 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c27(2'(0(2(2(1(1(1(2(2(0(1(2(0(2(1(1(2(1(0(0(2(0(1(2(2(2(2(z0))))))))))))))))))))))))))), 0'(2(2(1(1(1(2(2(0(1(2(0(2(1(1(2(1(0(0(2(0(1(2(2(2(2(z0)))))))))))))))))))))))))), 2'(2(1(1(1(2(2(0(1(2(0(2(1(1(2(1(0(0(2(0(1(2(2(2(2(z0))))))))))))))))))))))))), 2'(1(1(1(2(2(0(1(2(0(2(1(1(2(1(0(0(2(0(1(2(2(2(2(z0)))))))))))))))))))))))), 1'(1(1(2(2(0(1(2(0(2(1(1(2(1(0(0(2(0(1(2(2(2(2(z0))))))))))))))))))))))), 1'(1(2(2(0(1(2(0(2(1(1(2(1(0(0(2(0(1(2(2(2(2(z0)))))))))))))))))))))), 1'(2(2(0(1(2(0(2(1(1(2(1(0(0(2(0(1(2(2(2(2(z0))))))))))))))))))))), 2'(2(0(1(2(0(2(1(1(2(1(0(0(2(0(1(2(2(2(2(z0)))))))))))))))))))), 2'(0(1(2(0(2(1(1(2(1(0(0(2(0(1(2(2(2(2(z0))))))))))))))))))), 0'(1(2(0(2(1(1(2(1(0(0(2(0(1(2(2(2(2(z0)))))))))))))))))), 1'(2(0(2(1(1(2(1(0(0(2(0(1(2(2(2(2(z0))))))))))))))))), 2'(0(2(1(1(2(1(0(0(2(0(1(2(2(2(2(z0)))))))))))))))), 0'(2(1(1(2(1(0(0(2(0(1(2(2(2(2(z0))))))))))))))), 2'(1(1(2(1(0(0(2(0(1(2(2(2(2(z0)))))))))))))), 1'(1(2(1(0(0(2(0(1(2(2(2(2(z0))))))))))))), 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2'(2(1(1(2(2(1(0(2(1(2(1(2(2(1(2(2(2(0(0(z0)))))))))))))))))))), 2'(1(1(2(2(1(0(2(1(2(1(2(2(1(2(2(2(0(0(z0))))))))))))))))))), 1'(1(2(2(1(0(2(1(2(1(2(2(1(2(2(2(0(0(z0)))))))))))))))))), 1'(2(2(1(0(2(1(2(1(2(2(1(2(2(2(0(0(z0))))))))))))))))), 2'(2(1(0(2(1(2(1(2(2(1(2(2(2(0(0(z0)))))))))))))))), 2'(1(0(2(1(2(1(2(2(1(2(2(2(0(0(z0))))))))))))))), 1'(0(2(1(2(1(2(2(1(2(2(2(0(0(z0)))))))))))))), 0'(2(1(2(1(2(2(1(2(2(2(0(0(z0))))))))))))), 2'(1(2(1(2(2(1(2(2(2(0(0(z0)))))))))))), 1'(2(1(2(2(1(2(2(2(0(0(z0))))))))))), 2'(1(2(2(1(2(2(2(0(0(z0)))))))))), 1'(2(2(1(2(2(2(0(0(z0))))))))), 2'(2(1(2(2(2(0(0(z0)))))))), 2'(1(2(2(2(0(0(z0))))))), 1'(2(2(2(0(0(z0)))))), 2'(2(2(0(0(z0))))), 2'(2(0(0(z0)))), 2'(0(0(z0))), 0'(0(z0)), 0'(z0)) 2'(c_1(c_2(c_1(c_0(c_2(c_1(c_2(c_0(c_0(c_0(c_0(c_2(c_0(c_0(c_0(c_2(c_2(c_0(c_0(c_0(c_0(c_1(z0))))))))))))))))))))))) -> c48(2'(1(2(1(2(0(0(2(1(0(0(2(2(0(1(0(2(1(2(1(2(2(1(2(1(1(2(z0))))))))))))))))))))))))))), 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1'(2(1(2(2(1(2(1(1(2(z0)))))))))), 2'(1(2(2(1(2(1(1(2(z0))))))))), 1'(2(2(1(2(1(1(2(z0)))))))), 2'(2(1(2(1(1(2(z0))))))), 2'(1(2(1(1(2(z0)))))), 1'(2(1(1(2(z0))))), 2'(1(1(2(z0)))), 1'(1(2(z0))), 1'(2(z0)), 2'(z0)) ENCODE_0(z0) -> c6(0'(encArg(z0))) ENCODE_1(z0) -> c6(1'(encArg(z0))) ENCODE_2(z0) -> c6(2'(encArg(z0))) S tuples: 0'(c_0(c_2(c_0(c_2(c_2(c_1(c_2(c_1(c_1(c_2(c_1(c_1(c_2(c_1(c_0(c_0(c_0(c_0(c_1(c_1(c_2(c_1(z0))))))))))))))))))))))) -> c7(0'(0(1(2(2(1(1(2(2(1(1(2(2(2(2(0(1(2(1(2(1(1(1(0(1(2(2(z0))))))))))))))))))))))))))), 0'(1(2(2(1(1(2(2(1(1(2(2(2(2(0(1(2(1(2(1(1(1(0(1(2(2(z0)))))))))))))))))))))))))), 1'(2(2(1(1(2(2(1(1(2(2(2(2(0(1(2(1(2(1(1(1(0(1(2(2(z0))))))))))))))))))))))))), 2'(2(1(1(2(2(1(1(2(2(2(2(0(1(2(1(2(1(1(1(0(1(2(2(z0)))))))))))))))))))))))), 2'(1(1(2(2(1(1(2(2(2(2(0(1(2(1(2(1(1(1(0(1(2(2(z0))))))))))))))))))))))), 1'(1(2(2(1(1(2(2(2(2(0(1(2(1(2(1(1(1(0(1(2(2(z0)))))))))))))))))))))), 1'(2(2(1(1(2(2(2(2(0(1(2(1(2(1(1(1(0(1(2(2(z0))))))))))))))))))))), 2'(2(1(1(2(2(2(2(0(1(2(1(2(1(1(1(0(1(2(2(z0)))))))))))))))))))), 2'(1(1(2(2(2(2(0(1(2(1(2(1(1(1(0(1(2(2(z0))))))))))))))))))), 1'(1(2(2(2(2(0(1(2(1(2(1(1(1(0(1(2(2(z0)))))))))))))))))), 1'(2(2(2(2(0(1(2(1(2(1(1(1(0(1(2(2(z0))))))))))))))))), 2'(2(2(2(0(1(2(1(2(1(1(1(0(1(2(2(z0)))))))))))))))), 2'(2(2(0(1(2(1(2(1(1(1(0(1(2(2(z0))))))))))))))), 2'(2(0(1(2(1(2(1(1(1(0(1(2(2(z0)))))))))))))), 2'(0(1(2(1(2(1(1(1(0(1(2(2(z0))))))))))))), 0'(1(2(1(2(1(1(1(0(1(2(2(z0)))))))))))), 1'(2(1(2(1(1(1(0(1(2(2(z0))))))))))), 2'(1(2(1(1(1(0(1(2(2(z0)))))))))), 1'(2(1(1(1(0(1(2(2(z0))))))))), 2'(1(1(1(0(1(2(2(z0)))))))), 1'(1(1(0(1(2(2(z0))))))), 1'(1(0(1(2(2(z0)))))), 1'(0(1(2(2(z0))))), 0'(1(2(2(z0)))), 1'(2(2(z0))), 2'(2(z0)), 2'(z0)) 0'(c_1(c_1(c_1(c_2(c_2(c_1(c_0(c_0(c_2(c_2(c_2(c_2(c_0(c_2(c_0(c_0(c_0(c_0(c_1(c_0(c_0(c_2(z0))))))))))))))))))))))) -> c8(0'(2(1(1(1(1(2(2(1(1(0(1(1(2(1(2(1(0(0(1(2(2(1(0(0(2(2(z0))))))))))))))))))))))))))), 2'(1(1(1(1(2(2(1(1(0(1(1(2(1(2(1(0(0(1(2(2(1(0(0(2(2(z0)))))))))))))))))))))))))), 1'(1(1(1(2(2(1(1(0(1(1(2(1(2(1(0(0(1(2(2(1(0(0(2(2(z0))))))))))))))))))))))))), 1'(1(1(2(2(1(1(0(1(1(2(1(2(1(0(0(1(2(2(1(0(0(2(2(z0)))))))))))))))))))))))), 1'(1(2(2(1(1(0(1(1(2(1(2(1(0(0(1(2(2(1(0(0(2(2(z0))))))))))))))))))))))), 1'(2(2(1(1(0(1(1(2(1(2(1(0(0(1(2(2(1(0(0(2(2(z0)))))))))))))))))))))), 2'(2(1(1(0(1(1(2(1(2(1(0(0(1(2(2(1(0(0(2(2(z0))))))))))))))))))))), 2'(1(1(0(1(1(2(1(2(1(0(0(1(2(2(1(0(0(2(2(z0)))))))))))))))))))), 1'(1(0(1(1(2(1(2(1(0(0(1(2(2(1(0(0(2(2(z0))))))))))))))))))), 1'(0(1(1(2(1(2(1(0(0(1(2(2(1(0(0(2(2(z0)))))))))))))))))), 0'(1(1(2(1(2(1(0(0(1(2(2(1(0(0(2(2(z0))))))))))))))))), 1'(1(2(1(2(1(0(0(1(2(2(1(0(0(2(2(z0)))))))))))))))), 1'(2(1(2(1(0(0(1(2(2(1(0(0(2(2(z0))))))))))))))), 2'(1(2(1(0(0(1(2(2(1(0(0(2(2(z0)))))))))))))), 1'(2(1(0(0(1(2(2(1(0(0(2(2(z0))))))))))))), 2'(1(0(0(1(2(2(1(0(0(2(2(z0)))))))))))), 1'(0(0(1(2(2(1(0(0(2(2(z0))))))))))), 0'(0(1(2(2(1(0(0(2(2(z0)))))))))), 0'(1(2(2(1(0(0(2(2(z0))))))))), 1'(2(2(1(0(0(2(2(z0)))))))), 2'(2(1(0(0(2(2(z0))))))), 2'(1(0(0(2(2(z0)))))), 1'(0(0(2(2(z0))))), 0'(0(2(2(z0)))), 0'(2(2(z0))), 2'(2(z0)), 2'(z0)) 0'(c_1(c_1(c_0(c_1(c_1(c_1(c_2(c_2(c_0(c_2(c_0(c_1(c_2(c_2(c_2(c_0(c_1(c_2(c_0(c_1(c_0(c_2(z0))))))))))))))))))))))) -> c9(0'(2(0(1(0(2(0(2(2(2(1(2(1(1(2(2(2(2(2(2(2(1(0(0(0(2(2(z0))))))))))))))))))))))))))), 2'(0(1(0(2(0(2(2(2(1(2(1(1(2(2(2(2(2(2(2(1(0(0(0(2(2(z0)))))))))))))))))))))))))), 0'(1(0(2(0(2(2(2(1(2(1(1(2(2(2(2(2(2(2(1(0(0(0(2(2(z0))))))))))))))))))))))))), 1'(0(2(0(2(2(2(1(2(1(1(2(2(2(2(2(2(2(1(0(0(0(2(2(z0)))))))))))))))))))))))), 0'(2(0(2(2(2(1(2(1(1(2(2(2(2(2(2(2(1(0(0(0(2(2(z0))))))))))))))))))))))), 2'(0(2(2(2(1(2(1(1(2(2(2(2(2(2(2(1(0(0(0(2(2(z0)))))))))))))))))))))), 0'(2(2(2(1(2(1(1(2(2(2(2(2(2(2(1(0(0(0(2(2(z0))))))))))))))))))))), 2'(2(2(1(2(1(1(2(2(2(2(2(2(2(1(0(0(0(2(2(z0)))))))))))))))))))), 2'(2(1(2(1(1(2(2(2(2(2(2(2(1(0(0(0(2(2(z0))))))))))))))))))), 2'(1(2(1(1(2(2(2(2(2(2(2(1(0(0(0(2(2(z0)))))))))))))))))), 1'(2(1(1(2(2(2(2(2(2(2(1(0(0(0(2(2(z0))))))))))))))))), 2'(1(1(2(2(2(2(2(2(2(1(0(0(0(2(2(z0)))))))))))))))), 1'(1(2(2(2(2(2(2(2(1(0(0(0(2(2(z0))))))))))))))), 1'(2(2(2(2(2(2(2(1(0(0(0(2(2(z0)))))))))))))), 2'(2(2(2(2(2(2(1(0(0(0(2(2(z0))))))))))))), 2'(2(2(2(2(2(1(0(0(0(2(2(z0)))))))))))), 2'(2(2(2(2(1(0(0(0(2(2(z0))))))))))), 2'(2(2(2(1(0(0(0(2(2(z0)))))))))), 2'(2(2(1(0(0(0(2(2(z0))))))))), 2'(2(1(0(0(0(2(2(z0)))))))), 2'(1(0(0(0(2(2(z0))))))), 1'(0(0(0(2(2(z0)))))), 0'(0(0(2(2(z0))))), 0'(0(2(2(z0)))), 0'(2(2(z0))), 2'(2(z0)), 2'(z0)) 0'(c_1(c_0(c_0(c_1(c_2(c_2(c_1(c_0(c_1(c_2(c_1(c_2(c_0(c_1(c_0(c_2(c_2(c_0(c_1(c_2(c_1(c_0(z0))))))))))))))))))))))) -> c10(0'(0(0(1(2(2(2(2(2(2(2(0(0(0(0(1(2(1(2(2(2(1(0(2(0(2(0(z0))))))))))))))))))))))))))), 0'(0(1(2(2(2(2(2(2(2(0(0(0(0(1(2(1(2(2(2(1(0(2(0(2(0(z0)))))))))))))))))))))))))), 0'(1(2(2(2(2(2(2(2(0(0(0(0(1(2(1(2(2(2(1(0(2(0(2(0(z0))))))))))))))))))))))))), 1'(2(2(2(2(2(2(2(0(0(0(0(1(2(1(2(2(2(1(0(2(0(2(0(z0)))))))))))))))))))))))), 2'(2(2(2(2(2(2(0(0(0(0(1(2(1(2(2(2(1(0(2(0(2(0(z0))))))))))))))))))))))), 2'(2(2(2(2(2(0(0(0(0(1(2(1(2(2(2(1(0(2(0(2(0(z0)))))))))))))))))))))), 2'(2(2(2(2(0(0(0(0(1(2(1(2(2(2(1(0(2(0(2(0(z0))))))))))))))))))))), 2'(2(2(2(0(0(0(0(1(2(1(2(2(2(1(0(2(0(2(0(z0)))))))))))))))))))), 2'(2(2(0(0(0(0(1(2(1(2(2(2(1(0(2(0(2(0(z0))))))))))))))))))), 2'(2(0(0(0(0(1(2(1(2(2(2(1(0(2(0(2(0(z0)))))))))))))))))), 2'(0(0(0(0(1(2(1(2(2(2(1(0(2(0(2(0(z0))))))))))))))))), 0'(0(0(0(1(2(1(2(2(2(1(0(2(0(2(0(z0)))))))))))))))), 0'(0(0(1(2(1(2(2(2(1(0(2(0(2(0(z0))))))))))))))), 0'(0(1(2(1(2(2(2(1(0(2(0(2(0(z0)))))))))))))), 0'(1(2(1(2(2(2(1(0(2(0(2(0(z0))))))))))))), 1'(2(1(2(2(2(1(0(2(0(2(0(z0)))))))))))), 2'(1(2(2(2(1(0(2(0(2(0(z0))))))))))), 1'(2(2(2(1(0(2(0(2(0(z0)))))))))), 2'(2(2(1(0(2(0(2(0(z0))))))))), 2'(2(1(0(2(0(2(0(z0)))))))), 2'(1(0(2(0(2(0(z0))))))), 1'(0(2(0(2(0(z0)))))), 0'(2(0(2(0(z0))))), 2'(0(2(0(z0)))), 0'(2(0(z0))), 2'(0(z0)), 0'(z0)) 0'(c_0(c_1(c_2(c_0(c_1(c_0(c_0(c_2(c_0(c_1(c_1(c_0(c_1(c_2(c_1(c_1(c_2(c_2(c_1(c_1(c_0(c_2(z0))))))))))))))))))))))) -> c11(0'(2(2(2(0(1(1(2(1(2(2(1(2(1(0(2(2(2(1(2(1(1(0(0(1(0(2(z0))))))))))))))))))))))))))), 2'(2(2(0(1(1(2(1(2(2(1(2(1(0(2(2(2(1(2(1(1(0(0(1(0(2(z0)))))))))))))))))))))))))), 2'(2(0(1(1(2(1(2(2(1(2(1(0(2(2(2(1(2(1(1(0(0(1(0(2(z0))))))))))))))))))))))))), 2'(0(1(1(2(1(2(2(1(2(1(0(2(2(2(1(2(1(1(0(0(1(0(2(z0)))))))))))))))))))))))), 0'(1(1(2(1(2(2(1(2(1(0(2(2(2(1(2(1(1(0(0(1(0(2(z0))))))))))))))))))))))), 1'(1(2(1(2(2(1(2(1(0(2(2(2(1(2(1(1(0(0(1(0(2(z0)))))))))))))))))))))), 1'(2(1(2(2(1(2(1(0(2(2(2(1(2(1(1(0(0(1(0(2(z0))))))))))))))))))))), 2'(1(2(2(1(2(1(0(2(2(2(1(2(1(1(0(0(1(0(2(z0)))))))))))))))))))), 1'(2(2(1(2(1(0(2(2(2(1(2(1(1(0(0(1(0(2(z0))))))))))))))))))), 2'(2(1(2(1(0(2(2(2(1(2(1(1(0(0(1(0(2(z0)))))))))))))))))), 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1'(0(0(1(0(1(1(2(1(2(2(2(z0)))))))))))), 0'(0(1(0(1(1(2(1(2(2(2(z0))))))))))), 0'(1(0(1(1(2(1(2(2(2(z0)))))))))), 1'(0(1(1(2(1(2(2(2(z0))))))))), 0'(1(1(2(1(2(2(2(z0)))))))), 1'(1(2(1(2(2(2(z0))))))), 1'(2(1(2(2(2(z0)))))), 2'(1(2(2(2(z0))))), 1'(2(2(2(z0)))), 2'(2(2(z0))), 2'(2(z0)), 2'(z0)) 2'(c_2(c_0(c_0(c_1(c_0(c_1(c_2(c_2(c_2(c_1(c_1(c_0(c_0(c_1(c_2(c_2(c_1(c_2(c_0(c_1(c_2(c_1(z0))))))))))))))))))))))) -> c45(2'(2(2(2(0(2(0(2(2(1(2(1(0(1(1(2(2(0(0(2(1(2(1(2(1(2(0(z0))))))))))))))))))))))))))), 2'(2(2(0(2(0(2(2(1(2(1(0(1(1(2(2(0(0(2(1(2(1(2(1(2(0(z0)))))))))))))))))))))))))), 2'(2(0(2(0(2(2(1(2(1(0(1(1(2(2(0(0(2(1(2(1(2(1(2(0(z0))))))))))))))))))))))))), 2'(0(2(0(2(2(1(2(1(0(1(1(2(2(0(0(2(1(2(1(2(1(2(0(z0)))))))))))))))))))))))), 0'(2(0(2(2(1(2(1(0(1(1(2(2(0(0(2(1(2(1(2(1(2(0(z0))))))))))))))))))))))), 2'(0(2(2(1(2(1(0(1(1(2(2(0(0(2(1(2(1(2(1(2(0(z0)))))))))))))))))))))), 0'(2(2(1(2(1(0(1(1(2(2(0(0(2(1(2(1(2(1(2(0(z0))))))))))))))))))))), 2'(2(1(2(1(0(1(1(2(2(0(0(2(1(2(1(2(1(2(0(z0)))))))))))))))))))), 2'(1(2(1(0(1(1(2(2(0(0(2(1(2(1(2(1(2(0(z0))))))))))))))))))), 1'(2(1(0(1(1(2(2(0(0(2(1(2(1(2(1(2(0(z0)))))))))))))))))), 2'(1(0(1(1(2(2(0(0(2(1(2(1(2(1(2(0(z0))))))))))))))))), 1'(0(1(1(2(2(0(0(2(1(2(1(2(1(2(0(z0)))))))))))))))), 0'(1(1(2(2(0(0(2(1(2(1(2(1(2(0(z0))))))))))))))), 1'(1(2(2(0(0(2(1(2(1(2(1(2(0(z0)))))))))))))), 1'(2(2(0(0(2(1(2(1(2(1(2(0(z0))))))))))))), 2'(2(0(0(2(1(2(1(2(1(2(0(z0)))))))))))), 2'(0(0(2(1(2(1(2(1(2(0(z0))))))))))), 0'(0(2(1(2(1(2(1(2(0(z0)))))))))), 0'(2(1(2(1(2(1(2(0(z0))))))))), 2'(1(2(1(2(1(2(0(z0)))))))), 1'(2(1(2(1(2(0(z0))))))), 2'(1(2(1(2(0(z0)))))), 1'(2(1(2(0(z0))))), 2'(1(2(0(z0)))), 1'(2(0(z0))), 2'(0(z0)), 0'(z0)) 2'(c_2(c_1(c_1(c_2(c_2(c_1(c_2(c_1(c_1(c_1(c_0(c_0(c_2(c_1(c_1(c_0(c_2(c_0(c_0(c_1(c_1(c_2(z0))))))))))))))))))))))) -> c46(2'(1(1(1(2(2(2(1(1(0(2(2(1(0(1(0(2(2(1(2(0(0(0(1(2(1(2(z0))))))))))))))))))))))))))), 1'(1(1(2(2(2(1(1(0(2(2(1(0(1(0(2(2(1(2(0(0(0(1(2(1(2(z0)))))))))))))))))))))))))), 1'(1(2(2(2(1(1(0(2(2(1(0(1(0(2(2(1(2(0(0(0(1(2(1(2(z0))))))))))))))))))))))))), 1'(2(2(2(1(1(0(2(2(1(0(1(0(2(2(1(2(0(0(0(1(2(1(2(z0)))))))))))))))))))))))), 2'(2(2(1(1(0(2(2(1(0(1(0(2(2(1(2(0(0(0(1(2(1(2(z0))))))))))))))))))))))), 2'(2(1(1(0(2(2(1(0(1(0(2(2(1(2(0(0(0(1(2(1(2(z0)))))))))))))))))))))), 2'(1(1(0(2(2(1(0(1(0(2(2(1(2(0(0(0(1(2(1(2(z0))))))))))))))))))))), 1'(1(0(2(2(1(0(1(0(2(2(1(2(0(0(0(1(2(1(2(z0)))))))))))))))))))), 1'(0(2(2(1(0(1(0(2(2(1(2(0(0(0(1(2(1(2(z0))))))))))))))))))), 0'(2(2(1(0(1(0(2(2(1(2(0(0(0(1(2(1(2(z0)))))))))))))))))), 2'(2(1(0(1(0(2(2(1(2(0(0(0(1(2(1(2(z0))))))))))))))))), 2'(1(0(1(0(2(2(1(2(0(0(0(1(2(1(2(z0)))))))))))))))), 1'(0(1(0(2(2(1(2(0(0(0(1(2(1(2(z0))))))))))))))), 0'(1(0(2(2(1(2(0(0(0(1(2(1(2(z0)))))))))))))), 1'(0(2(2(1(2(0(0(0(1(2(1(2(z0))))))))))))), 0'(2(2(1(2(0(0(0(1(2(1(2(z0)))))))))))), 2'(2(1(2(0(0(0(1(2(1(2(z0))))))))))), 2'(1(2(0(0(0(1(2(1(2(z0)))))))))), 1'(2(0(0(0(1(2(1(2(z0))))))))), 2'(0(0(0(1(2(1(2(z0)))))))), 0'(0(0(1(2(1(2(z0))))))), 0'(0(1(2(1(2(z0)))))), 0'(1(2(1(2(z0))))), 1'(2(1(2(z0)))), 2'(1(2(z0))), 1'(2(z0)), 2'(z0)) 2'(c_2(c_0(c_1(c_1(c_0(c_0(c_1(c_2(c_1(c_0(c_2(c_1(c_2(c_2(c_2(c_1(c_0(c_0(c_2(c_2(c_2(c_0(z0))))))))))))))))))))))) -> c47(2'(2(1(0(0(0(0(2(2(1(1(2(2(1(0(2(1(2(1(2(2(1(2(2(2(0(0(z0))))))))))))))))))))))))))), 2'(1(0(0(0(0(2(2(1(1(2(2(1(0(2(1(2(1(2(2(1(2(2(2(0(0(z0)))))))))))))))))))))))))), 1'(0(0(0(0(2(2(1(1(2(2(1(0(2(1(2(1(2(2(1(2(2(2(0(0(z0))))))))))))))))))))))))), 0'(0(0(0(2(2(1(1(2(2(1(0(2(1(2(1(2(2(1(2(2(2(0(0(z0)))))))))))))))))))))))), 0'(0(0(2(2(1(1(2(2(1(0(2(1(2(1(2(2(1(2(2(2(0(0(z0))))))))))))))))))))))), 0'(0(2(2(1(1(2(2(1(0(2(1(2(1(2(2(1(2(2(2(0(0(z0)))))))))))))))))))))), 0'(2(2(1(1(2(2(1(0(2(1(2(1(2(2(1(2(2(2(0(0(z0))))))))))))))))))))), 2'(2(1(1(2(2(1(0(2(1(2(1(2(2(1(2(2(2(0(0(z0)))))))))))))))))))), 2'(1(1(2(2(1(0(2(1(2(1(2(2(1(2(2(2(0(0(z0))))))))))))))))))), 1'(1(2(2(1(0(2(1(2(1(2(2(1(2(2(2(0(0(z0)))))))))))))))))), 1'(2(2(1(0(2(1(2(1(2(2(1(2(2(2(0(0(z0))))))))))))))))), 2'(2(1(0(2(1(2(1(2(2(1(2(2(2(0(0(z0)))))))))))))))), 2'(1(0(2(1(2(1(2(2(1(2(2(2(0(0(z0))))))))))))))), 1'(0(2(1(2(1(2(2(1(2(2(2(0(0(z0)))))))))))))), 0'(2(1(2(1(2(2(1(2(2(2(0(0(z0))))))))))))), 2'(1(2(1(2(2(1(2(2(2(0(0(z0)))))))))))), 1'(2(1(2(2(1(2(2(2(0(0(z0))))))))))), 2'(1(2(2(1(2(2(2(0(0(z0)))))))))), 1'(2(2(1(2(2(2(0(0(z0))))))))), 2'(2(1(2(2(2(0(0(z0)))))))), 2'(1(2(2(2(0(0(z0))))))), 1'(2(2(2(0(0(z0)))))), 2'(2(2(0(0(z0))))), 2'(2(0(0(z0)))), 2'(0(0(z0))), 0'(0(z0)), 0'(z0)) 2'(c_1(c_2(c_1(c_0(c_2(c_1(c_2(c_0(c_0(c_0(c_0(c_2(c_0(c_0(c_0(c_2(c_2(c_0(c_0(c_0(c_0(c_1(z0))))))))))))))))))))))) -> c48(2'(1(2(1(2(0(0(2(1(0(0(2(2(0(1(0(2(1(2(1(2(2(1(2(1(1(2(z0))))))))))))))))))))))))))), 1'(2(1(2(0(0(2(1(0(0(2(2(0(1(0(2(1(2(1(2(2(1(2(1(1(2(z0)))))))))))))))))))))))))), 2'(1(2(0(0(2(1(0(0(2(2(0(1(0(2(1(2(1(2(2(1(2(1(1(2(z0))))))))))))))))))))))))), 1'(2(0(0(2(1(0(0(2(2(0(1(0(2(1(2(1(2(2(1(2(1(1(2(z0)))))))))))))))))))))))), 2'(0(0(2(1(0(0(2(2(0(1(0(2(1(2(1(2(2(1(2(1(1(2(z0))))))))))))))))))))))), 0'(0(2(1(0(0(2(2(0(1(0(2(1(2(1(2(2(1(2(1(1(2(z0)))))))))))))))))))))), 0'(2(1(0(0(2(2(0(1(0(2(1(2(1(2(2(1(2(1(1(2(z0))))))))))))))))))))), 2'(1(0(0(2(2(0(1(0(2(1(2(1(2(2(1(2(1(1(2(z0)))))))))))))))))))), 1'(0(0(2(2(0(1(0(2(1(2(1(2(2(1(2(1(1(2(z0))))))))))))))))))), 0'(0(2(2(0(1(0(2(1(2(1(2(2(1(2(1(1(2(z0)))))))))))))))))), 0'(2(2(0(1(0(2(1(2(1(2(2(1(2(1(1(2(z0))))))))))))))))), 2'(2(0(1(0(2(1(2(1(2(2(1(2(1(1(2(z0)))))))))))))))), 2'(0(1(0(2(1(2(1(2(2(1(2(1(1(2(z0))))))))))))))), 0'(1(0(2(1(2(1(2(2(1(2(1(1(2(z0)))))))))))))), 1'(0(2(1(2(1(2(2(1(2(1(1(2(z0))))))))))))), 0'(2(1(2(1(2(2(1(2(1(1(2(z0)))))))))))), 2'(1(2(1(2(2(1(2(1(1(2(z0))))))))))), 1'(2(1(2(2(1(2(1(1(2(z0)))))))))), 2'(1(2(2(1(2(1(1(2(z0))))))))), 1'(2(2(1(2(1(1(2(z0)))))))), 2'(2(1(2(1(1(2(z0))))))), 2'(1(2(1(1(2(z0)))))), 1'(2(1(1(2(z0))))), 2'(1(1(2(z0)))), 1'(1(2(z0))), 1'(2(z0)), 2'(z0)) K tuples:none Defined Rule Symbols: 1_1, 2_1, 0_1, encArg_1, encode_0_1, encode_1_1, encode_2_1 Defined Pair Symbols: ENCARG_1, 0'_1, 1'_1, 2'_1, ENCODE_0_1, ENCODE_1_1, ENCODE_2_1 Compound Symbols: c_2, c1_2, c2_2, c7_27, c8_27, c9_27, c10_27, c11_27, c12_27, c13_27, c14_27, c15_27, c16_27, c18_27, c19_27, c20_27, c21_27, c22_27, c23_27, c24_27, c25_27, c26_27, c27_27, c28_27, c30_27, c31_27, c32_27, c33_27, c34_27, c35_27, c36_27, c37_27, c38_27, c39_27, c40_27, c41_27, c42_27, c43_27, c44_27, c45_27, c46_27, c47_27, c48_27, c6_1 ---------------------------------------- (47) CdtUsableRulesProof (BOTH BOUNDS(ID, ID)) The following rules are not usable and were removed: encode_0(z0) -> 0(encArg(z0)) encode_1(z0) -> 1(encArg(z0)) encode_2(z0) -> 2(encArg(z0)) ---------------------------------------- (48) Obligation: Complexity Dependency Tuples Problem Rules: encArg(cons_0(z0)) -> 0(encArg(z0)) encArg(cons_1(z0)) -> 1(encArg(z0)) encArg(cons_2(z0)) -> 2(encArg(z0)) 0(z0) -> c_0(z0) 0(c_0(c_2(c_0(c_2(c_2(c_1(c_2(c_1(c_1(c_2(c_1(c_1(c_2(c_1(c_0(c_0(c_0(c_0(c_1(c_1(c_2(c_1(z0))))))))))))))))))))))) -> 0(0(1(2(2(1(1(2(2(1(1(2(2(2(2(0(1(2(1(2(1(1(1(0(1(2(2(z0))))))))))))))))))))))))))) 0(c_1(c_1(c_1(c_2(c_2(c_1(c_0(c_0(c_2(c_2(c_2(c_2(c_0(c_2(c_0(c_0(c_0(c_0(c_1(c_0(c_0(c_2(z0))))))))))))))))))))))) -> 0(2(1(1(1(1(2(2(1(1(0(1(1(2(1(2(1(0(0(1(2(2(1(0(0(2(2(z0))))))))))))))))))))))))))) 0(c_1(c_1(c_0(c_1(c_1(c_1(c_2(c_2(c_0(c_2(c_0(c_1(c_2(c_2(c_2(c_0(c_1(c_2(c_0(c_1(c_0(c_2(z0))))))))))))))))))))))) -> 0(2(0(1(0(2(0(2(2(2(1(2(1(1(2(2(2(2(2(2(2(1(0(0(0(2(2(z0))))))))))))))))))))))))))) 0(c_1(c_0(c_0(c_1(c_2(c_2(c_1(c_0(c_1(c_2(c_1(c_2(c_0(c_1(c_0(c_2(c_2(c_0(c_1(c_2(c_1(c_0(z0))))))))))))))))))))))) -> 0(0(0(1(2(2(2(2(2(2(2(0(0(0(0(1(2(1(2(2(2(1(0(2(0(2(0(z0))))))))))))))))))))))))))) 0(c_0(c_1(c_2(c_0(c_1(c_0(c_0(c_2(c_0(c_1(c_1(c_0(c_1(c_2(c_1(c_1(c_2(c_2(c_1(c_1(c_0(c_2(z0))))))))))))))))))))))) -> 0(2(2(2(0(1(1(2(1(2(2(1(2(1(0(2(2(2(1(2(1(1(0(0(1(0(2(z0))))))))))))))))))))))))))) 0(c_1(c_1(c_1(c_1(c_2(c_1(c_1(c_2(c_2(c_0(c_1(c_0(c_1(c_1(c_0(c_2(c_0(c_0(c_2(c_0(c_1(c_0(z0))))))))))))))))))))))) -> 2(2(2(2(2(1(0(1(2(2(0(1(1(1(2(2(1(1(0(0(0(0(2(2(1(2(2(z0))))))))))))))))))))))))))) 0(c_1(c_2(c_1(c_1(c_2(c_2(c_2(c_1(c_1(c_0(c_0(c_1(c_0(c_2(c_0(c_2(c_2(c_1(c_0(c_2(c_1(c_1(z0))))))))))))))))))))))) -> 2(1(2(1(2(1(2(2(0(2(0(1(2(1(2(1(2(0(1(2(0(0(2(2(1(1(2(z0))))))))))))))))))))))))))) 0(c_0(c_1(c_0(c_2(c_2(c_1(c_2(c_0(c_0(c_1(c_2(c_0(c_2(c_2(c_2(c_1(c_1(c_2(c_0(c_0(c_2(c_1(z0))))))))))))))))))))))) -> 0(1(1(1(0(2(1(2(1(2(0(1(1(2(1(1(2(2(2(2(2(0(2(2(2(1(2(z0))))))))))))))))))))))))))) 0(c_0(c_0(c_0(c_1(c_0(c_0(c_2(c_2(c_1(c_0(c_2(c_0(c_2(c_1(c_1(c_2(c_1(c_2(c_2(c_0(c_1(c_1(z0))))))))))))))))))))))) -> 0(1(2(0(0(2(1(2(2(1(1(2(1(1(1(1(2(2(2(1(2(1(0(2(1(1(0(z0))))))))))))))))))))))))))) 0(c_0(c_0(c_2(c_2(c_0(c_2(c_2(c_2(c_1(c_1(c_0(c_2(c_2(c_1(c_2(c_1(c_0(c_2(c_0(c_0(c_0(c_1(z0))))))))))))))))))))))) -> 2(0(1(1(1(2(2(1(1(2(2(2(2(1(0(1(2(1(1(2(2(2(1(2(1(2(2(z0))))))))))))))))))))))))))) 1(z0) -> c_1(z0) 1(c_2(c_0(c_0(c_2(c_0(c_1(c_2(c_2(c_0(c_2(c_1(c_2(c_1(c_2(c_0(c_1(c_0(c_1(c_2(c_0(c_2(c_1(z0))))))))))))))))))))))) -> 1(2(2(0(2(1(2(2(0(1(0(2(1(0(1(2(1(2(2(2(2(0(2(2(0(2(0(z0))))))))))))))))))))))))))) 1(c_1(c_0(c_2(c_1(c_2(c_2(c_2(c_2(c_1(c_0(c_1(c_2(c_0(c_1(c_2(c_1(c_1(c_0(c_2(c_1(c_2(c_0(z0))))))))))))))))))))))) -> 2(2(1(2(1(2(2(1(0(1(2(2(2(1(0(2(1(1(2(1(0(1(1(1(2(2(2(z0))))))))))))))))))))))))))) 1(c_1(c_0(c_1(c_2(c_2(c_2(c_2(c_1(c_0(c_2(c_1(c_2(c_0(c_0(c_0(c_1(c_0(c_2(c_1(c_1(c_1(c_2(z0))))))))))))))))))))))) -> 2(1(2(1(2(2(2(2(2(0(0(0(0(2(1(2(2(2(2(1(2(2(2(0(0(2(2(z0))))))))))))))))))))))))))) 1(c_1(c_2(c_2(c_1(c_0(c_2(c_0(c_1(c_1(c_2(c_2(c_2(c_1(c_0(c_1(c_0(c_0(c_2(c_1(c_1(c_0(c_2(z0))))))))))))))))))))))) -> 2(2(2(1(1(2(2(2(1(2(2(0(0(2(0(0(1(2(0(2(2(1(2(2(2(0(2(z0))))))))))))))))))))))))))) 1(c_0(c_1(c_0(c_2(c_2(c_2(c_2(c_1(c_0(c_0(c_2(c_0(c_2(c_1(c_2(c_1(c_2(c_1(c_1(c_2(c_0(c_2(z0))))))))))))))))))))))) -> 2(1(2(0(2(0(2(0(2(2(2(2(1(2(1(2(2(2(1(1(2(1(0(1(1(2(2(z0))))))))))))))))))))))))))) 1(c_1(c_1(c_0(c_2(c_2(c_1(c_1(c_1(c_2(c_2(c_0(c_2(c_0(c_2(c_1(c_1(c_2(c_1(c_2(c_1(c_2(c_2(z0))))))))))))))))))))))) -> 1(2(1(2(1(1(1(1(2(1(1(1(2(2(0(1(0(2(2(1(2(2(2(1(0(1(2(z0))))))))))))))))))))))))))) 1(c_0(c_0(c_1(c_0(c_1(c_1(c_0(c_2(c_1(c_1(c_2(c_1(c_2(c_1(c_2(c_0(c_1(c_2(c_2(c_1(c_2(c_1(z0))))))))))))))))))))))) -> 1(2(0(0(1(1(2(2(1(2(0(2(2(0(1(1(2(2(2(1(2(2(2(2(2(1(2(z0))))))))))))))))))))))))))) 1(c_2(c_2(c_2(c_1(c_1(c_0(c_0(c_2(c_2(c_2(c_0(c_0(c_0(c_2(c_1(c_2(c_2(c_0(c_2(c_0(c_2(c_0(z0))))))))))))))))))))))) -> 1(2(1(2(0(0(1(1(1(2(2(2(2(1(2(2(2(0(2(0(1(2(2(2(2(0(0(z0))))))))))))))))))))))))))) 1(c_2(c_0(c_2(c_1(c_2(c_2(c_1(c_2(c_2(c_2(c_0(c_1(c_1(c_1(c_1(c_0(c_1(c_0(c_0(c_2(c_0(c_1(z0))))))))))))))))))))))) -> 1(2(1(2(1(2(2(2(2(2(2(0(0(2(0(0(2(2(0(1(1(1(1(0(0(2(1(z0))))))))))))))))))))))))))) 1(c_1(c_0(c_2(c_1(c_0(c_2(c_0(c_1(c_2(c_0(c_2(c_0(c_0(c_2(c_1(c_0(c_1(c_0(c_1(c_2(c_1(c_2(z0))))))))))))))))))))))) -> 2(0(2(2(1(1(1(2(2(0(1(2(0(2(1(1(2(1(0(0(2(0(1(2(2(2(2(z0))))))))))))))))))))))))))) 1(c_1(c_0(c_0(c_1(c_1(c_1(c_2(c_2(c_2(c_1(c_2(c_1(c_0(c_0(c_0(c_2(c_2(c_2(c_0(c_1(c_2(c_0(z0))))))))))))))))))))))) -> 2(1(2(1(2(2(2(1(2(2(0(2(2(1(0(2(1(2(2(0(1(0(1(1(2(2(2(z0))))))))))))))))))))))))))) 2(z0) -> c_2(z0) 2(c_2(c_1(c_1(c_1(c_0(c_0(c_2(c_1(c_0(c_2(c_1(c_2(c_0(c_0(c_2(c_1(c_0(c_1(c_1(c_2(c_2(c_1(z0))))))))))))))))))))))) -> 2(1(2(2(0(1(2(1(1(0(1(2(1(0(0(1(2(2(1(2(1(0(2(1(2(2(1(z0))))))))))))))))))))))))))) 2(c_2(c_1(c_1(c_2(c_0(c_0(c_2(c_2(c_2(c_2(c_1(c_1(c_1(c_1(c_1(c_2(c_1(c_2(c_0(c_0(c_1(c_1(z0))))))))))))))))))))))) -> 2(2(1(1(2(2(1(2(1(2(2(0(0(0(2(1(0(2(2(1(2(2(0(1(1(2(2(z0))))))))))))))))))))))))))) 2(c_1(c_0(c_1(c_0(c_0(c_2(c_2(c_2(c_0(c_1(c_0(c_0(c_2(c_0(c_0(c_1(c_2(c_0(c_2(c_2(c_2(c_0(z0))))))))))))))))))))))) -> 2(1(1(2(0(1(2(0(0(2(0(1(2(2(1(1(1(2(2(2(0(0(1(1(0(2(0(z0))))))))))))))))))))))))))) 2(c_0(c_2(c_0(c_1(c_0(c_1(c_1(c_2(c_0(c_1(c_1(c_2(c_2(c_1(c_0(c_2(c_0(c_2(c_0(c_2(c_2(c_2(z0))))))))))))))))))))))) -> 2(0(0(1(1(2(0(2(2(1(1(2(2(0(1(2(2(2(0(0(2(0(2(2(2(0(2(z0))))))))))))))))))))))))))) 2(c_2(c_0(c_1(c_2(c_2(c_2(c_0(c_2(c_2(c_2(c_0(c_2(c_2(c_2(c_2(c_1(c_0(c_1(c_0(c_0(c_1(c_0(z0))))))))))))))))))))))) -> 2(2(0(1(1(2(2(2(1(1(2(1(0(0(1(2(2(1(2(1(0(2(2(0(0(2(0(z0))))))))))))))))))))))))))) 2(c_2(c_1(c_1(c_1(c_2(c_0(c_1(c_1(c_2(c_2(c_0(c_1(c_1(c_1(c_1(c_1(c_2(c_2(c_2(c_0(c_2(c_1(z0))))))))))))))))))))))) -> 1(2(1(2(2(1(1(1(1(2(2(2(1(2(0(0(0(1(2(0(0(1(2(2(2(2(2(z0))))))))))))))))))))))))))) 2(c_1(c_1(c_0(c_2(c_2(c_2(c_0(c_1(c_2(c_1(c_1(c_0(c_1(c_2(c_0(c_0(c_1(c_1(c_1(c_1(c_2(c_2(z0))))))))))))))))))))))) -> 2(0(0(2(1(0(0(0(0(0(1(2(1(1(2(1(1(2(1(2(2(0(1(1(1(2(2(z0))))))))))))))))))))))))))) 2(c_2(c_1(c_2(c_1(c_2(c_2(c_2(c_0(c_1(c_2(c_1(c_2(c_2(c_2(c_2(c_1(c_1(c_0(c_1(c_0(c_1(c_0(z0))))))))))))))))))))))) -> 1(2(1(2(1(2(0(1(2(2(0(1(1(1(2(2(1(1(1(2(2(0(1(0(1(2(2(z0))))))))))))))))))))))))))) 2(c_0(c_2(c_0(c_1(c_2(c_2(c_0(c_0(c_2(c_2(c_2(c_1(c_1(c_1(c_2(c_1(c_0(c_2(c_0(c_2(c_2(c_0(z0))))))))))))))))))))))) -> 2(1(1(1(2(2(0(0(0(2(1(0(0(0(1(1(0(2(2(0(2(2(2(2(2(2(0(z0))))))))))))))))))))))))))) 2(c_2(c_0(c_0(c_2(c_1(c_2(c_0(c_1(c_2(c_0(c_2(c_1(c_0(c_1(c_1(c_2(c_2(c_1(c_0(c_1(c_0(c_2(z0))))))))))))))))))))))) -> 2(2(2(2(1(2(1(2(0(2(2(2(2(2(0(1(2(0(2(1(0(0(0(2(0(2(2(z0))))))))))))))))))))))))))) 2(c_2(c_2(c_0(c_0(c_1(c_0(c_0(c_2(c_0(c_0(c_2(c_1(c_1(c_2(c_1(c_0(c_1(c_2(c_2(c_2(c_1(c_0(z0))))))))))))))))))))))) -> 1(2(2(2(2(0(1(2(1(2(0(1(2(1(2(1(0(1(0(1(0(1(1(2(2(1(0(z0))))))))))))))))))))))))))) 2(c_1(c_0(c_1(c_1(c_2(c_0(c_0(c_2(c_1(c_0(c_0(c_0(c_1(c_2(c_1(c_1(c_2(c_0(c_2(c_1(c_2(c_1(z0))))))))))))))))))))))) -> 2(0(2(2(0(0(2(2(1(1(1(2(0(1(0(1(2(2(2(2(2(0(0(0(2(2(1(z0))))))))))))))))))))))))))) 2(c_2(c_1(c_2(c_2(c_0(c_0(c_2(c_1(c_1(c_0(c_2(c_2(c_0(c_2(c_2(c_0(c_2(c_2(c_1(c_2(c_0(c_2(z0))))))))))))))))))))))) -> 1(2(1(1(1(2(2(2(1(2(1(0(2(1(1(1(1(2(2(0(0(1(1(0(2(1(2(z0))))))))))))))))))))))))))) 2(c_2(c_0(c_0(c_1(c_2(c_1(c_1(c_2(c_1(c_0(c_0(c_0(c_0(c_0(c_2(c_1(c_2(c_1(c_1(c_2(c_0(c_2(z0))))))))))))))))))))))) -> 2(1(1(2(2(2(2(1(2(1(0(0(2(1(0(2(2(0(1(1(0(2(0(0(0(0(2(z0))))))))))))))))))))))))))) 2(c_0(c_1(c_0(c_0(c_0(c_1(c_0(c_0(c_0(c_0(c_0(c_0(c_0(c_1(c_0(c_2(c_0(c_0(c_2(c_2(c_2(c_2(z0))))))))))))))))))))))) -> 2(2(2(1(1(2(1(2(0(1(1(2(1(0(2(1(0(0(1(0(1(1(2(1(2(2(2(z0))))))))))))))))))))))))))) 2(c_2(c_0(c_0(c_1(c_0(c_1(c_2(c_2(c_2(c_1(c_1(c_0(c_0(c_1(c_2(c_2(c_1(c_2(c_0(c_1(c_2(c_1(z0))))))))))))))))))))))) -> 2(2(2(2(0(2(0(2(2(1(2(1(0(1(1(2(2(0(0(2(1(2(1(2(1(2(0(z0))))))))))))))))))))))))))) 2(c_2(c_1(c_1(c_2(c_2(c_1(c_2(c_1(c_1(c_1(c_0(c_0(c_2(c_1(c_1(c_0(c_2(c_0(c_0(c_1(c_1(c_2(z0))))))))))))))))))))))) -> 2(1(1(1(2(2(2(1(1(0(2(2(1(0(1(0(2(2(1(2(0(0(0(1(2(1(2(z0))))))))))))))))))))))))))) 2(c_2(c_0(c_1(c_1(c_0(c_0(c_1(c_2(c_1(c_0(c_2(c_1(c_2(c_2(c_2(c_1(c_0(c_0(c_2(c_2(c_2(c_0(z0))))))))))))))))))))))) -> 2(2(1(0(0(0(0(2(2(1(1(2(2(1(0(2(1(2(1(2(2(1(2(2(2(0(0(z0))))))))))))))))))))))))))) 2(c_1(c_2(c_1(c_0(c_2(c_1(c_2(c_0(c_0(c_0(c_0(c_2(c_0(c_0(c_0(c_2(c_2(c_0(c_0(c_0(c_0(c_1(z0))))))))))))))))))))))) -> 2(1(2(1(2(0(0(2(1(0(0(2(2(0(1(0(2(1(2(1(2(2(1(2(1(1(2(z0))))))))))))))))))))))))))) Tuples: ENCARG(cons_0(z0)) -> c(0'(encArg(z0)), ENCARG(z0)) ENCARG(cons_1(z0)) -> c1(1'(encArg(z0)), ENCARG(z0)) ENCARG(cons_2(z0)) -> c2(2'(encArg(z0)), ENCARG(z0)) 0'(c_0(c_2(c_0(c_2(c_2(c_1(c_2(c_1(c_1(c_2(c_1(c_1(c_2(c_1(c_0(c_0(c_0(c_0(c_1(c_1(c_2(c_1(z0))))))))))))))))))))))) -> c7(0'(0(1(2(2(1(1(2(2(1(1(2(2(2(2(0(1(2(1(2(1(1(1(0(1(2(2(z0))))))))))))))))))))))))))), 0'(1(2(2(1(1(2(2(1(1(2(2(2(2(0(1(2(1(2(1(1(1(0(1(2(2(z0)))))))))))))))))))))))))), 1'(2(2(1(1(2(2(1(1(2(2(2(2(0(1(2(1(2(1(1(1(0(1(2(2(z0))))))))))))))))))))))))), 2'(2(1(1(2(2(1(1(2(2(2(2(0(1(2(1(2(1(1(1(0(1(2(2(z0)))))))))))))))))))))))), 2'(1(1(2(2(1(1(2(2(2(2(0(1(2(1(2(1(1(1(0(1(2(2(z0))))))))))))))))))))))), 1'(1(2(2(1(1(2(2(2(2(0(1(2(1(2(1(1(1(0(1(2(2(z0)))))))))))))))))))))), 1'(2(2(1(1(2(2(2(2(0(1(2(1(2(1(1(1(0(1(2(2(z0))))))))))))))))))))), 2'(2(1(1(2(2(2(2(0(1(2(1(2(1(1(1(0(1(2(2(z0)))))))))))))))))))), 2'(1(1(2(2(2(2(0(1(2(1(2(1(1(1(0(1(2(2(z0))))))))))))))))))), 1'(1(2(2(2(2(0(1(2(1(2(1(1(1(0(1(2(2(z0)))))))))))))))))), 1'(2(2(2(2(0(1(2(1(2(1(1(1(0(1(2(2(z0))))))))))))))))), 2'(2(2(2(0(1(2(1(2(1(1(1(0(1(2(2(z0)))))))))))))))), 2'(2(2(0(1(2(1(2(1(1(1(0(1(2(2(z0))))))))))))))), 2'(2(0(1(2(1(2(1(1(1(0(1(2(2(z0)))))))))))))), 2'(0(1(2(1(2(1(1(1(0(1(2(2(z0))))))))))))), 0'(1(2(1(2(1(1(1(0(1(2(2(z0)))))))))))), 1'(2(1(2(1(1(1(0(1(2(2(z0))))))))))), 2'(1(2(1(1(1(0(1(2(2(z0)))))))))), 1'(2(1(1(1(0(1(2(2(z0))))))))), 2'(1(1(1(0(1(2(2(z0)))))))), 1'(1(1(0(1(2(2(z0))))))), 1'(1(0(1(2(2(z0)))))), 1'(0(1(2(2(z0))))), 0'(1(2(2(z0)))), 1'(2(2(z0))), 2'(2(z0)), 2'(z0)) 0'(c_1(c_1(c_1(c_2(c_2(c_1(c_0(c_0(c_2(c_2(c_2(c_2(c_0(c_2(c_0(c_0(c_0(c_0(c_1(c_0(c_0(c_2(z0))))))))))))))))))))))) -> c8(0'(2(1(1(1(1(2(2(1(1(0(1(1(2(1(2(1(0(0(1(2(2(1(0(0(2(2(z0))))))))))))))))))))))))))), 2'(1(1(1(1(2(2(1(1(0(1(1(2(1(2(1(0(0(1(2(2(1(0(0(2(2(z0)))))))))))))))))))))))))), 1'(1(1(1(2(2(1(1(0(1(1(2(1(2(1(0(0(1(2(2(1(0(0(2(2(z0))))))))))))))))))))))))), 1'(1(1(2(2(1(1(0(1(1(2(1(2(1(0(0(1(2(2(1(0(0(2(2(z0)))))))))))))))))))))))), 1'(1(2(2(1(1(0(1(1(2(1(2(1(0(0(1(2(2(1(0(0(2(2(z0))))))))))))))))))))))), 1'(2(2(1(1(0(1(1(2(1(2(1(0(0(1(2(2(1(0(0(2(2(z0)))))))))))))))))))))), 2'(2(1(1(0(1(1(2(1(2(1(0(0(1(2(2(1(0(0(2(2(z0))))))))))))))))))))), 2'(1(1(0(1(1(2(1(2(1(0(0(1(2(2(1(0(0(2(2(z0)))))))))))))))))))), 1'(1(0(1(1(2(1(2(1(0(0(1(2(2(1(0(0(2(2(z0))))))))))))))))))), 1'(0(1(1(2(1(2(1(0(0(1(2(2(1(0(0(2(2(z0)))))))))))))))))), 0'(1(1(2(1(2(1(0(0(1(2(2(1(0(0(2(2(z0))))))))))))))))), 1'(1(2(1(2(1(0(0(1(2(2(1(0(0(2(2(z0)))))))))))))))), 1'(2(1(2(1(0(0(1(2(2(1(0(0(2(2(z0))))))))))))))), 2'(1(2(1(0(0(1(2(2(1(0(0(2(2(z0)))))))))))))), 1'(2(1(0(0(1(2(2(1(0(0(2(2(z0))))))))))))), 2'(1(0(0(1(2(2(1(0(0(2(2(z0)))))))))))), 1'(0(0(1(2(2(1(0(0(2(2(z0))))))))))), 0'(0(1(2(2(1(0(0(2(2(z0)))))))))), 0'(1(2(2(1(0(0(2(2(z0))))))))), 1'(2(2(1(0(0(2(2(z0)))))))), 2'(2(1(0(0(2(2(z0))))))), 2'(1(0(0(2(2(z0)))))), 1'(0(0(2(2(z0))))), 0'(0(2(2(z0)))), 0'(2(2(z0))), 2'(2(z0)), 2'(z0)) 0'(c_1(c_1(c_0(c_1(c_1(c_1(c_2(c_2(c_0(c_2(c_0(c_1(c_2(c_2(c_2(c_0(c_1(c_2(c_0(c_1(c_0(c_2(z0))))))))))))))))))))))) -> c9(0'(2(0(1(0(2(0(2(2(2(1(2(1(1(2(2(2(2(2(2(2(1(0(0(0(2(2(z0))))))))))))))))))))))))))), 2'(0(1(0(2(0(2(2(2(1(2(1(1(2(2(2(2(2(2(2(1(0(0(0(2(2(z0)))))))))))))))))))))))))), 0'(1(0(2(0(2(2(2(1(2(1(1(2(2(2(2(2(2(2(1(0(0(0(2(2(z0))))))))))))))))))))))))), 1'(0(2(0(2(2(2(1(2(1(1(2(2(2(2(2(2(2(1(0(0(0(2(2(z0)))))))))))))))))))))))), 0'(2(0(2(2(2(1(2(1(1(2(2(2(2(2(2(2(1(0(0(0(2(2(z0))))))))))))))))))))))), 2'(0(2(2(2(1(2(1(1(2(2(2(2(2(2(2(1(0(0(0(2(2(z0)))))))))))))))))))))), 0'(2(2(2(1(2(1(1(2(2(2(2(2(2(2(1(0(0(0(2(2(z0))))))))))))))))))))), 2'(2(2(1(2(1(1(2(2(2(2(2(2(2(1(0(0(0(2(2(z0)))))))))))))))))))), 2'(2(1(2(1(1(2(2(2(2(2(2(2(1(0(0(0(2(2(z0))))))))))))))))))), 2'(1(2(1(1(2(2(2(2(2(2(2(1(0(0(0(2(2(z0)))))))))))))))))), 1'(2(1(1(2(2(2(2(2(2(2(1(0(0(0(2(2(z0))))))))))))))))), 2'(1(1(2(2(2(2(2(2(2(1(0(0(0(2(2(z0)))))))))))))))), 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c21(2'(2(2(1(1(2(2(2(1(2(2(0(0(2(0(0(1(2(0(2(2(1(2(2(2(0(2(z0))))))))))))))))))))))))))), 2'(2(1(1(2(2(2(1(2(2(0(0(2(0(0(1(2(0(2(2(1(2(2(2(0(2(z0)))))))))))))))))))))))))), 2'(1(1(2(2(2(1(2(2(0(0(2(0(0(1(2(0(2(2(1(2(2(2(0(2(z0))))))))))))))))))))))))), 1'(1(2(2(2(1(2(2(0(0(2(0(0(1(2(0(2(2(1(2(2(2(0(2(z0)))))))))))))))))))))))), 1'(2(2(2(1(2(2(0(0(2(0(0(1(2(0(2(2(1(2(2(2(0(2(z0))))))))))))))))))))))), 2'(2(2(1(2(2(0(0(2(0(0(1(2(0(2(2(1(2(2(2(0(2(z0)))))))))))))))))))))), 2'(2(1(2(2(0(0(2(0(0(1(2(0(2(2(1(2(2(2(0(2(z0))))))))))))))))))))), 2'(1(2(2(0(0(2(0(0(1(2(0(2(2(1(2(2(2(0(2(z0)))))))))))))))))))), 1'(2(2(0(0(2(0(0(1(2(0(2(2(1(2(2(2(0(2(z0))))))))))))))))))), 2'(2(0(0(2(0(0(1(2(0(2(2(1(2(2(2(0(2(z0)))))))))))))))))), 2'(0(0(2(0(0(1(2(0(2(2(1(2(2(2(0(2(z0))))))))))))))))), 0'(0(2(0(0(1(2(0(2(2(1(2(2(2(0(2(z0)))))))))))))))), 0'(2(0(0(1(2(0(2(2(1(2(2(2(0(2(z0))))))))))))))), 2'(0(0(1(2(0(2(2(1(2(2(2(0(2(z0)))))))))))))), 0'(0(1(2(0(2(2(1(2(2(2(0(2(z0))))))))))))), 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2'(2(0(0(1(1(0(2(1(2(z0)))))))))), 2'(0(0(1(1(0(2(1(2(z0))))))))), 0'(0(1(1(0(2(1(2(z0)))))))), 0'(1(1(0(2(1(2(z0))))))), 1'(1(0(2(1(2(z0)))))), 1'(0(2(1(2(z0))))), 0'(2(1(2(z0)))), 2'(1(2(z0))), 1'(2(z0)), 2'(z0)) 2'(c_2(c_0(c_0(c_1(c_2(c_1(c_1(c_2(c_1(c_0(c_0(c_0(c_0(c_0(c_2(c_1(c_2(c_1(c_1(c_2(c_0(c_2(z0))))))))))))))))))))))) -> c43(2'(1(1(2(2(2(2(1(2(1(0(0(2(1(0(2(2(0(1(1(0(2(0(0(0(0(2(z0))))))))))))))))))))))))))), 1'(1(2(2(2(2(1(2(1(0(0(2(1(0(2(2(0(1(1(0(2(0(0(0(0(2(z0)))))))))))))))))))))))))), 1'(2(2(2(2(1(2(1(0(0(2(1(0(2(2(0(1(1(0(2(0(0(0(0(2(z0))))))))))))))))))))))))), 2'(2(2(2(1(2(1(0(0(2(1(0(2(2(0(1(1(0(2(0(0(0(0(2(z0)))))))))))))))))))))))), 2'(2(2(1(2(1(0(0(2(1(0(2(2(0(1(1(0(2(0(0(0(0(2(z0))))))))))))))))))))))), 2'(2(1(2(1(0(0(2(1(0(2(2(0(1(1(0(2(0(0(0(0(2(z0)))))))))))))))))))))), 2'(1(2(1(0(0(2(1(0(2(2(0(1(1(0(2(0(0(0(0(2(z0))))))))))))))))))))), 1'(2(1(0(0(2(1(0(2(2(0(1(1(0(2(0(0(0(0(2(z0)))))))))))))))))))), 2'(1(0(0(2(1(0(2(2(0(1(1(0(2(0(0(0(0(2(z0))))))))))))))))))), 1'(0(0(2(1(0(2(2(0(1(1(0(2(0(0(0(0(2(z0)))))))))))))))))), 0'(0(2(1(0(2(2(0(1(1(0(2(0(0(0(0(2(z0))))))))))))))))), 0'(2(1(0(2(2(0(1(1(0(2(0(0(0(0(2(z0)))))))))))))))), 2'(1(0(2(2(0(1(1(0(2(0(0(0(0(2(z0))))))))))))))), 1'(0(2(2(0(1(1(0(2(0(0(0(0(2(z0)))))))))))))), 0'(2(2(0(1(1(0(2(0(0(0(0(2(z0))))))))))))), 2'(2(0(1(1(0(2(0(0(0(0(2(z0)))))))))))), 2'(0(1(1(0(2(0(0(0(0(2(z0))))))))))), 0'(1(1(0(2(0(0(0(0(2(z0)))))))))), 1'(1(0(2(0(0(0(0(2(z0))))))))), 1'(0(2(0(0(0(0(2(z0)))))))), 0'(2(0(0(0(0(2(z0))))))), 2'(0(0(0(0(2(z0)))))), 0'(0(0(0(2(z0))))), 0'(0(0(2(z0)))), 0'(0(2(z0))), 0'(2(z0)), 2'(z0)) 2'(c_0(c_1(c_0(c_0(c_0(c_1(c_0(c_0(c_0(c_0(c_0(c_0(c_0(c_1(c_0(c_2(c_0(c_0(c_2(c_2(c_2(c_2(z0))))))))))))))))))))))) -> c44(2'(2(2(1(1(2(1(2(0(1(1(2(1(0(2(1(0(0(1(0(1(1(2(1(2(2(2(z0))))))))))))))))))))))))))), 2'(2(1(1(2(1(2(0(1(1(2(1(0(2(1(0(0(1(0(1(1(2(1(2(2(2(z0)))))))))))))))))))))))))), 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1'(1(2(1(2(2(2(z0))))))), 1'(2(1(2(2(2(z0)))))), 2'(1(2(2(2(z0))))), 1'(2(2(2(z0)))), 2'(2(2(z0))), 2'(2(z0)), 2'(z0)) 2'(c_2(c_0(c_0(c_1(c_0(c_1(c_2(c_2(c_2(c_1(c_1(c_0(c_0(c_1(c_2(c_2(c_1(c_2(c_0(c_1(c_2(c_1(z0))))))))))))))))))))))) -> c45(2'(2(2(2(0(2(0(2(2(1(2(1(0(1(1(2(2(0(0(2(1(2(1(2(1(2(0(z0))))))))))))))))))))))))))), 2'(2(2(0(2(0(2(2(1(2(1(0(1(1(2(2(0(0(2(1(2(1(2(1(2(0(z0)))))))))))))))))))))))))), 2'(2(0(2(0(2(2(1(2(1(0(1(1(2(2(0(0(2(1(2(1(2(1(2(0(z0))))))))))))))))))))))))), 2'(0(2(0(2(2(1(2(1(0(1(1(2(2(0(0(2(1(2(1(2(1(2(0(z0)))))))))))))))))))))))), 0'(2(0(2(2(1(2(1(0(1(1(2(2(0(0(2(1(2(1(2(1(2(0(z0))))))))))))))))))))))), 2'(0(2(2(1(2(1(0(1(1(2(2(0(0(2(1(2(1(2(1(2(0(z0)))))))))))))))))))))), 0'(2(2(1(2(1(0(1(1(2(2(0(0(2(1(2(1(2(1(2(0(z0))))))))))))))))))))), 2'(2(1(2(1(0(1(1(2(2(0(0(2(1(2(1(2(1(2(0(z0)))))))))))))))))))), 2'(1(2(1(0(1(1(2(2(0(0(2(1(2(1(2(1(2(0(z0))))))))))))))))))), 1'(2(1(0(1(1(2(2(0(0(2(1(2(1(2(1(2(0(z0)))))))))))))))))), 2'(1(0(1(1(2(2(0(0(2(1(2(1(2(1(2(0(z0))))))))))))))))), 1'(0(1(1(2(2(0(0(2(1(2(1(2(1(2(0(z0)))))))))))))))), 0'(1(1(2(2(0(0(2(1(2(1(2(1(2(0(z0))))))))))))))), 1'(1(2(2(0(0(2(1(2(1(2(1(2(0(z0)))))))))))))), 1'(2(2(0(0(2(1(2(1(2(1(2(0(z0))))))))))))), 2'(2(0(0(2(1(2(1(2(1(2(0(z0)))))))))))), 2'(0(0(2(1(2(1(2(1(2(0(z0))))))))))), 0'(0(2(1(2(1(2(1(2(0(z0)))))))))), 0'(2(1(2(1(2(1(2(0(z0))))))))), 2'(1(2(1(2(1(2(0(z0)))))))), 1'(2(1(2(1(2(0(z0))))))), 2'(1(2(1(2(0(z0)))))), 1'(2(1(2(0(z0))))), 2'(1(2(0(z0)))), 1'(2(0(z0))), 2'(0(z0)), 0'(z0)) 2'(c_2(c_1(c_1(c_2(c_2(c_1(c_2(c_1(c_1(c_1(c_0(c_0(c_2(c_1(c_1(c_0(c_2(c_0(c_0(c_1(c_1(c_2(z0))))))))))))))))))))))) -> c46(2'(1(1(1(2(2(2(1(1(0(2(2(1(0(1(0(2(2(1(2(0(0(0(1(2(1(2(z0))))))))))))))))))))))))))), 1'(1(1(2(2(2(1(1(0(2(2(1(0(1(0(2(2(1(2(0(0(0(1(2(1(2(z0)))))))))))))))))))))))))), 1'(1(2(2(2(1(1(0(2(2(1(0(1(0(2(2(1(2(0(0(0(1(2(1(2(z0))))))))))))))))))))))))), 1'(2(2(2(1(1(0(2(2(1(0(1(0(2(2(1(2(0(0(0(1(2(1(2(z0)))))))))))))))))))))))), 2'(2(2(1(1(0(2(2(1(0(1(0(2(2(1(2(0(0(0(1(2(1(2(z0))))))))))))))))))))))), 2'(2(1(1(0(2(2(1(0(1(0(2(2(1(2(0(0(0(1(2(1(2(z0)))))))))))))))))))))), 2'(1(1(0(2(2(1(0(1(0(2(2(1(2(0(0(0(1(2(1(2(z0))))))))))))))))))))), 1'(1(0(2(2(1(0(1(0(2(2(1(2(0(0(0(1(2(1(2(z0)))))))))))))))))))), 1'(0(2(2(1(0(1(0(2(2(1(2(0(0(0(1(2(1(2(z0))))))))))))))))))), 0'(2(2(1(0(1(0(2(2(1(2(0(0(0(1(2(1(2(z0)))))))))))))))))), 2'(2(1(0(1(0(2(2(1(2(0(0(0(1(2(1(2(z0))))))))))))))))), 2'(1(0(1(0(2(2(1(2(0(0(0(1(2(1(2(z0)))))))))))))))), 1'(0(1(0(2(2(1(2(0(0(0(1(2(1(2(z0))))))))))))))), 0'(1(0(2(2(1(2(0(0(0(1(2(1(2(z0)))))))))))))), 1'(0(2(2(1(2(0(0(0(1(2(1(2(z0))))))))))))), 0'(2(2(1(2(0(0(0(1(2(1(2(z0)))))))))))), 2'(2(1(2(0(0(0(1(2(1(2(z0))))))))))), 2'(1(2(0(0(0(1(2(1(2(z0)))))))))), 1'(2(0(0(0(1(2(1(2(z0))))))))), 2'(0(0(0(1(2(1(2(z0)))))))), 0'(0(0(1(2(1(2(z0))))))), 0'(0(1(2(1(2(z0)))))), 0'(1(2(1(2(z0))))), 1'(2(1(2(z0)))), 2'(1(2(z0))), 1'(2(z0)), 2'(z0)) 2'(c_2(c_0(c_1(c_1(c_0(c_0(c_1(c_2(c_1(c_0(c_2(c_1(c_2(c_2(c_2(c_1(c_0(c_0(c_2(c_2(c_2(c_0(z0))))))))))))))))))))))) -> c47(2'(2(1(0(0(0(0(2(2(1(1(2(2(1(0(2(1(2(1(2(2(1(2(2(2(0(0(z0))))))))))))))))))))))))))), 2'(1(0(0(0(0(2(2(1(1(2(2(1(0(2(1(2(1(2(2(1(2(2(2(0(0(z0)))))))))))))))))))))))))), 1'(0(0(0(0(2(2(1(1(2(2(1(0(2(1(2(1(2(2(1(2(2(2(0(0(z0))))))))))))))))))))))))), 0'(0(0(0(2(2(1(1(2(2(1(0(2(1(2(1(2(2(1(2(2(2(0(0(z0)))))))))))))))))))))))), 0'(0(0(2(2(1(1(2(2(1(0(2(1(2(1(2(2(1(2(2(2(0(0(z0))))))))))))))))))))))), 0'(0(2(2(1(1(2(2(1(0(2(1(2(1(2(2(1(2(2(2(0(0(z0)))))))))))))))))))))), 0'(2(2(1(1(2(2(1(0(2(1(2(1(2(2(1(2(2(2(0(0(z0))))))))))))))))))))), 2'(2(1(1(2(2(1(0(2(1(2(1(2(2(1(2(2(2(0(0(z0)))))))))))))))))))), 2'(1(1(2(2(1(0(2(1(2(1(2(2(1(2(2(2(0(0(z0))))))))))))))))))), 1'(1(2(2(1(0(2(1(2(1(2(2(1(2(2(2(0(0(z0)))))))))))))))))), 1'(2(2(1(0(2(1(2(1(2(2(1(2(2(2(0(0(z0))))))))))))))))), 2'(2(1(0(2(1(2(1(2(2(1(2(2(2(0(0(z0)))))))))))))))), 2'(1(0(2(1(2(1(2(2(1(2(2(2(0(0(z0))))))))))))))), 1'(0(2(1(2(1(2(2(1(2(2(2(0(0(z0)))))))))))))), 0'(2(1(2(1(2(2(1(2(2(2(0(0(z0))))))))))))), 2'(1(2(1(2(2(1(2(2(2(0(0(z0)))))))))))), 1'(2(1(2(2(1(2(2(2(0(0(z0))))))))))), 2'(1(2(2(1(2(2(2(0(0(z0)))))))))), 1'(2(2(1(2(2(2(0(0(z0))))))))), 2'(2(1(2(2(2(0(0(z0)))))))), 2'(1(2(2(2(0(0(z0))))))), 1'(2(2(2(0(0(z0)))))), 2'(2(2(0(0(z0))))), 2'(2(0(0(z0)))), 2'(0(0(z0))), 0'(0(z0)), 0'(z0)) 2'(c_1(c_2(c_1(c_0(c_2(c_1(c_2(c_0(c_0(c_0(c_0(c_2(c_0(c_0(c_0(c_2(c_2(c_0(c_0(c_0(c_0(c_1(z0))))))))))))))))))))))) -> c48(2'(1(2(1(2(0(0(2(1(0(0(2(2(0(1(0(2(1(2(1(2(2(1(2(1(1(2(z0))))))))))))))))))))))))))), 1'(2(1(2(0(0(2(1(0(0(2(2(0(1(0(2(1(2(1(2(2(1(2(1(1(2(z0)))))))))))))))))))))))))), 2'(1(2(0(0(2(1(0(0(2(2(0(1(0(2(1(2(1(2(2(1(2(1(1(2(z0))))))))))))))))))))))))), 1'(2(0(0(2(1(0(0(2(2(0(1(0(2(1(2(1(2(2(1(2(1(1(2(z0)))))))))))))))))))))))), 2'(0(0(2(1(0(0(2(2(0(1(0(2(1(2(1(2(2(1(2(1(1(2(z0))))))))))))))))))))))), 0'(0(2(1(0(0(2(2(0(1(0(2(1(2(1(2(2(1(2(1(1(2(z0)))))))))))))))))))))), 0'(2(1(0(0(2(2(0(1(0(2(1(2(1(2(2(1(2(1(1(2(z0))))))))))))))))))))), 2'(1(0(0(2(2(0(1(0(2(1(2(1(2(2(1(2(1(1(2(z0)))))))))))))))))))), 1'(0(0(2(2(0(1(0(2(1(2(1(2(2(1(2(1(1(2(z0))))))))))))))))))), 0'(0(2(2(0(1(0(2(1(2(1(2(2(1(2(1(1(2(z0)))))))))))))))))), 0'(2(2(0(1(0(2(1(2(1(2(2(1(2(1(1(2(z0))))))))))))))))), 2'(2(0(1(0(2(1(2(1(2(2(1(2(1(1(2(z0)))))))))))))))), 2'(0(1(0(2(1(2(1(2(2(1(2(1(1(2(z0))))))))))))))), 0'(1(0(2(1(2(1(2(2(1(2(1(1(2(z0)))))))))))))), 1'(0(2(1(2(1(2(2(1(2(1(1(2(z0))))))))))))), 0'(2(1(2(1(2(2(1(2(1(1(2(z0)))))))))))), 2'(1(2(1(2(2(1(2(1(1(2(z0))))))))))), 1'(2(1(2(2(1(2(1(1(2(z0)))))))))), 2'(1(2(2(1(2(1(1(2(z0))))))))), 1'(2(2(1(2(1(1(2(z0)))))))), 2'(2(1(2(1(1(2(z0))))))), 2'(1(2(1(1(2(z0)))))), 1'(2(1(1(2(z0))))), 2'(1(1(2(z0)))), 1'(1(2(z0))), 1'(2(z0)), 2'(z0)) ENCODE_0(z0) -> c6(0'(encArg(z0))) ENCODE_1(z0) -> c6(1'(encArg(z0))) ENCODE_2(z0) -> c6(2'(encArg(z0))) S tuples: 0'(c_0(c_2(c_0(c_2(c_2(c_1(c_2(c_1(c_1(c_2(c_1(c_1(c_2(c_1(c_0(c_0(c_0(c_0(c_1(c_1(c_2(c_1(z0))))))))))))))))))))))) -> c7(0'(0(1(2(2(1(1(2(2(1(1(2(2(2(2(0(1(2(1(2(1(1(1(0(1(2(2(z0))))))))))))))))))))))))))), 0'(1(2(2(1(1(2(2(1(1(2(2(2(2(0(1(2(1(2(1(1(1(0(1(2(2(z0)))))))))))))))))))))))))), 1'(2(2(1(1(2(2(1(1(2(2(2(2(0(1(2(1(2(1(1(1(0(1(2(2(z0))))))))))))))))))))))))), 2'(2(1(1(2(2(1(1(2(2(2(2(0(1(2(1(2(1(1(1(0(1(2(2(z0)))))))))))))))))))))))), 2'(1(1(2(2(1(1(2(2(2(2(0(1(2(1(2(1(1(1(0(1(2(2(z0))))))))))))))))))))))), 1'(1(2(2(1(1(2(2(2(2(0(1(2(1(2(1(1(1(0(1(2(2(z0)))))))))))))))))))))), 1'(2(2(1(1(2(2(2(2(0(1(2(1(2(1(1(1(0(1(2(2(z0))))))))))))))))))))), 2'(2(1(1(2(2(2(2(0(1(2(1(2(1(1(1(0(1(2(2(z0)))))))))))))))))))), 2'(1(1(2(2(2(2(0(1(2(1(2(1(1(1(0(1(2(2(z0))))))))))))))))))), 1'(1(2(2(2(2(0(1(2(1(2(1(1(1(0(1(2(2(z0)))))))))))))))))), 1'(2(2(2(2(0(1(2(1(2(1(1(1(0(1(2(2(z0))))))))))))))))), 2'(2(2(2(0(1(2(1(2(1(1(1(0(1(2(2(z0)))))))))))))))), 2'(2(2(0(1(2(1(2(1(1(1(0(1(2(2(z0))))))))))))))), 2'(2(0(1(2(1(2(1(1(1(0(1(2(2(z0)))))))))))))), 2'(0(1(2(1(2(1(1(1(0(1(2(2(z0))))))))))))), 0'(1(2(1(2(1(1(1(0(1(2(2(z0)))))))))))), 1'(2(1(2(1(1(1(0(1(2(2(z0))))))))))), 2'(1(2(1(1(1(0(1(2(2(z0)))))))))), 1'(2(1(1(1(0(1(2(2(z0))))))))), 2'(1(1(1(0(1(2(2(z0)))))))), 1'(1(1(0(1(2(2(z0))))))), 1'(1(0(1(2(2(z0)))))), 1'(0(1(2(2(z0))))), 0'(1(2(2(z0)))), 1'(2(2(z0))), 2'(2(z0)), 2'(z0)) 0'(c_1(c_1(c_1(c_2(c_2(c_1(c_0(c_0(c_2(c_2(c_2(c_2(c_0(c_2(c_0(c_0(c_0(c_0(c_1(c_0(c_0(c_2(z0))))))))))))))))))))))) -> c8(0'(2(1(1(1(1(2(2(1(1(0(1(1(2(1(2(1(0(0(1(2(2(1(0(0(2(2(z0))))))))))))))))))))))))))), 2'(1(1(1(1(2(2(1(1(0(1(1(2(1(2(1(0(0(1(2(2(1(0(0(2(2(z0)))))))))))))))))))))))))), 1'(1(1(1(2(2(1(1(0(1(1(2(1(2(1(0(0(1(2(2(1(0(0(2(2(z0))))))))))))))))))))))))), 1'(1(1(2(2(1(1(0(1(1(2(1(2(1(0(0(1(2(2(1(0(0(2(2(z0)))))))))))))))))))))))), 1'(1(2(2(1(1(0(1(1(2(1(2(1(0(0(1(2(2(1(0(0(2(2(z0))))))))))))))))))))))), 1'(2(2(1(1(0(1(1(2(1(2(1(0(0(1(2(2(1(0(0(2(2(z0)))))))))))))))))))))), 2'(2(1(1(0(1(1(2(1(2(1(0(0(1(2(2(1(0(0(2(2(z0))))))))))))))))))))), 2'(1(1(0(1(1(2(1(2(1(0(0(1(2(2(1(0(0(2(2(z0)))))))))))))))))))), 1'(1(0(1(1(2(1(2(1(0(0(1(2(2(1(0(0(2(2(z0))))))))))))))))))), 1'(0(1(1(2(1(2(1(0(0(1(2(2(1(0(0(2(2(z0)))))))))))))))))), 0'(1(1(2(1(2(1(0(0(1(2(2(1(0(0(2(2(z0))))))))))))))))), 1'(1(2(1(2(1(0(0(1(2(2(1(0(0(2(2(z0)))))))))))))))), 1'(2(1(2(1(0(0(1(2(2(1(0(0(2(2(z0))))))))))))))), 2'(1(2(1(0(0(1(2(2(1(0(0(2(2(z0)))))))))))))), 1'(2(1(0(0(1(2(2(1(0(0(2(2(z0))))))))))))), 2'(1(0(0(1(2(2(1(0(0(2(2(z0)))))))))))), 1'(0(0(1(2(2(1(0(0(2(2(z0))))))))))), 0'(0(1(2(2(1(0(0(2(2(z0)))))))))), 0'(1(2(2(1(0(0(2(2(z0))))))))), 1'(2(2(1(0(0(2(2(z0)))))))), 2'(2(1(0(0(2(2(z0))))))), 2'(1(0(0(2(2(z0)))))), 1'(0(0(2(2(z0))))), 0'(0(2(2(z0)))), 0'(2(2(z0))), 2'(2(z0)), 2'(z0)) 0'(c_1(c_1(c_0(c_1(c_1(c_1(c_2(c_2(c_0(c_2(c_0(c_1(c_2(c_2(c_2(c_0(c_1(c_2(c_0(c_1(c_0(c_2(z0))))))))))))))))))))))) -> c9(0'(2(0(1(0(2(0(2(2(2(1(2(1(1(2(2(2(2(2(2(2(1(0(0(0(2(2(z0))))))))))))))))))))))))))), 2'(0(1(0(2(0(2(2(2(1(2(1(1(2(2(2(2(2(2(2(1(0(0(0(2(2(z0)))))))))))))))))))))))))), 0'(1(0(2(0(2(2(2(1(2(1(1(2(2(2(2(2(2(2(1(0(0(0(2(2(z0))))))))))))))))))))))))), 1'(0(2(0(2(2(2(1(2(1(1(2(2(2(2(2(2(2(1(0(0(0(2(2(z0)))))))))))))))))))))))), 0'(2(0(2(2(2(1(2(1(1(2(2(2(2(2(2(2(1(0(0(0(2(2(z0))))))))))))))))))))))), 2'(0(2(2(2(1(2(1(1(2(2(2(2(2(2(2(1(0(0(0(2(2(z0)))))))))))))))))))))), 0'(2(2(2(1(2(1(1(2(2(2(2(2(2(2(1(0(0(0(2(2(z0))))))))))))))))))))), 2'(2(2(1(2(1(1(2(2(2(2(2(2(2(1(0(0(0(2(2(z0)))))))))))))))))))), 2'(2(1(2(1(1(2(2(2(2(2(2(2(1(0(0(0(2(2(z0))))))))))))))))))), 2'(1(2(1(1(2(2(2(2(2(2(2(1(0(0(0(2(2(z0)))))))))))))))))), 1'(2(1(1(2(2(2(2(2(2(2(1(0(0(0(2(2(z0))))))))))))))))), 2'(1(1(2(2(2(2(2(2(2(1(0(0(0(2(2(z0)))))))))))))))), 1'(1(2(2(2(2(2(2(2(1(0(0(0(2(2(z0))))))))))))))), 1'(2(2(2(2(2(2(2(1(0(0(0(2(2(z0)))))))))))))), 2'(2(2(2(2(2(2(1(0(0(0(2(2(z0))))))))))))), 2'(2(2(2(2(2(1(0(0(0(2(2(z0)))))))))))), 2'(2(2(2(2(1(0(0(0(2(2(z0))))))))))), 2'(2(2(2(1(0(0(0(2(2(z0)))))))))), 2'(2(2(1(0(0(0(2(2(z0))))))))), 2'(2(1(0(0(0(2(2(z0)))))))), 2'(1(0(0(0(2(2(z0))))))), 1'(0(0(0(2(2(z0)))))), 0'(0(0(2(2(z0))))), 0'(0(2(2(z0)))), 0'(2(2(z0))), 2'(2(z0)), 2'(z0)) 0'(c_1(c_0(c_0(c_1(c_2(c_2(c_1(c_0(c_1(c_2(c_1(c_2(c_0(c_1(c_0(c_2(c_2(c_0(c_1(c_2(c_1(c_0(z0))))))))))))))))))))))) -> c10(0'(0(0(1(2(2(2(2(2(2(2(0(0(0(0(1(2(1(2(2(2(1(0(2(0(2(0(z0))))))))))))))))))))))))))), 0'(0(1(2(2(2(2(2(2(2(0(0(0(0(1(2(1(2(2(2(1(0(2(0(2(0(z0)))))))))))))))))))))))))), 0'(1(2(2(2(2(2(2(2(0(0(0(0(1(2(1(2(2(2(1(0(2(0(2(0(z0))))))))))))))))))))))))), 1'(2(2(2(2(2(2(2(0(0(0(0(1(2(1(2(2(2(1(0(2(0(2(0(z0)))))))))))))))))))))))), 2'(2(2(2(2(2(2(0(0(0(0(1(2(1(2(2(2(1(0(2(0(2(0(z0))))))))))))))))))))))), 2'(2(2(2(2(2(0(0(0(0(1(2(1(2(2(2(1(0(2(0(2(0(z0)))))))))))))))))))))), 2'(2(2(2(2(0(0(0(0(1(2(1(2(2(2(1(0(2(0(2(0(z0))))))))))))))))))))), 2'(2(2(2(0(0(0(0(1(2(1(2(2(2(1(0(2(0(2(0(z0)))))))))))))))))))), 2'(2(2(0(0(0(0(1(2(1(2(2(2(1(0(2(0(2(0(z0))))))))))))))))))), 2'(2(0(0(0(0(1(2(1(2(2(2(1(0(2(0(2(0(z0)))))))))))))))))), 2'(0(0(0(0(1(2(1(2(2(2(1(0(2(0(2(0(z0))))))))))))))))), 0'(0(0(0(1(2(1(2(2(2(1(0(2(0(2(0(z0)))))))))))))))), 0'(0(0(1(2(1(2(2(2(1(0(2(0(2(0(z0))))))))))))))), 0'(0(1(2(1(2(2(2(1(0(2(0(2(0(z0)))))))))))))), 0'(1(2(1(2(2(2(1(0(2(0(2(0(z0))))))))))))), 1'(2(1(2(2(2(1(0(2(0(2(0(z0)))))))))))), 2'(1(2(2(2(1(0(2(0(2(0(z0))))))))))), 1'(2(2(2(1(0(2(0(2(0(z0)))))))))), 2'(2(2(1(0(2(0(2(0(z0))))))))), 2'(2(1(0(2(0(2(0(z0)))))))), 2'(1(0(2(0(2(0(z0))))))), 1'(0(2(0(2(0(z0)))))), 0'(2(0(2(0(z0))))), 2'(0(2(0(z0)))), 0'(2(0(z0))), 2'(0(z0)), 0'(z0)) 0'(c_0(c_1(c_2(c_0(c_1(c_0(c_0(c_2(c_0(c_1(c_1(c_0(c_1(c_2(c_1(c_1(c_2(c_2(c_1(c_1(c_0(c_2(z0))))))))))))))))))))))) -> c11(0'(2(2(2(0(1(1(2(1(2(2(1(2(1(0(2(2(2(1(2(1(1(0(0(1(0(2(z0))))))))))))))))))))))))))), 2'(2(2(0(1(1(2(1(2(2(1(2(1(0(2(2(2(1(2(1(1(0(0(1(0(2(z0)))))))))))))))))))))))))), 2'(2(0(1(1(2(1(2(2(1(2(1(0(2(2(2(1(2(1(1(0(0(1(0(2(z0))))))))))))))))))))))))), 2'(0(1(1(2(1(2(2(1(2(1(0(2(2(2(1(2(1(1(0(0(1(0(2(z0)))))))))))))))))))))))), 0'(1(1(2(1(2(2(1(2(1(0(2(2(2(1(2(1(1(0(0(1(0(2(z0))))))))))))))))))))))), 1'(1(2(1(2(2(1(2(1(0(2(2(2(1(2(1(1(0(0(1(0(2(z0)))))))))))))))))))))), 1'(2(1(2(2(1(2(1(0(2(2(2(1(2(1(1(0(0(1(0(2(z0))))))))))))))))))))), 2'(1(2(2(1(2(1(0(2(2(2(1(2(1(1(0(0(1(0(2(z0)))))))))))))))))))), 1'(2(2(1(2(1(0(2(2(2(1(2(1(1(0(0(1(0(2(z0))))))))))))))))))), 2'(2(1(2(1(0(2(2(2(1(2(1(1(0(0(1(0(2(z0)))))))))))))))))), 2'(1(2(1(0(2(2(2(1(2(1(1(0(0(1(0(2(z0))))))))))))))))), 1'(2(1(0(2(2(2(1(2(1(1(0(0(1(0(2(z0)))))))))))))))), 2'(1(0(2(2(2(1(2(1(1(0(0(1(0(2(z0))))))))))))))), 1'(0(2(2(2(1(2(1(1(0(0(1(0(2(z0)))))))))))))), 0'(2(2(2(1(2(1(1(0(0(1(0(2(z0))))))))))))), 2'(2(2(1(2(1(1(0(0(1(0(2(z0)))))))))))), 2'(2(1(2(1(1(0(0(1(0(2(z0))))))))))), 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2'(c_2(c_0(c_0(c_1(c_0(c_1(c_2(c_2(c_2(c_1(c_1(c_0(c_0(c_1(c_2(c_2(c_1(c_2(c_0(c_1(c_2(c_1(z0))))))))))))))))))))))) -> c45(2'(2(2(2(0(2(0(2(2(1(2(1(0(1(1(2(2(0(0(2(1(2(1(2(1(2(0(z0))))))))))))))))))))))))))), 2'(2(2(0(2(0(2(2(1(2(1(0(1(1(2(2(0(0(2(1(2(1(2(1(2(0(z0)))))))))))))))))))))))))), 2'(2(0(2(0(2(2(1(2(1(0(1(1(2(2(0(0(2(1(2(1(2(1(2(0(z0))))))))))))))))))))))))), 2'(0(2(0(2(2(1(2(1(0(1(1(2(2(0(0(2(1(2(1(2(1(2(0(z0)))))))))))))))))))))))), 0'(2(0(2(2(1(2(1(0(1(1(2(2(0(0(2(1(2(1(2(1(2(0(z0))))))))))))))))))))))), 2'(0(2(2(1(2(1(0(1(1(2(2(0(0(2(1(2(1(2(1(2(0(z0)))))))))))))))))))))), 0'(2(2(1(2(1(0(1(1(2(2(0(0(2(1(2(1(2(1(2(0(z0))))))))))))))))))))), 2'(2(1(2(1(0(1(1(2(2(0(0(2(1(2(1(2(1(2(0(z0)))))))))))))))))))), 2'(1(2(1(0(1(1(2(2(0(0(2(1(2(1(2(1(2(0(z0))))))))))))))))))), 1'(2(1(0(1(1(2(2(0(0(2(1(2(1(2(1(2(0(z0)))))))))))))))))), 2'(1(0(1(1(2(2(0(0(2(1(2(1(2(1(2(0(z0))))))))))))))))), 1'(0(1(1(2(2(0(0(2(1(2(1(2(1(2(0(z0)))))))))))))))), 0'(1(1(2(2(0(0(2(1(2(1(2(1(2(0(z0))))))))))))))), 1'(1(2(2(0(0(2(1(2(1(2(1(2(0(z0)))))))))))))), 1'(2(2(0(0(2(1(2(1(2(1(2(0(z0))))))))))))), 2'(2(0(0(2(1(2(1(2(1(2(0(z0)))))))))))), 2'(0(0(2(1(2(1(2(1(2(0(z0))))))))))), 0'(0(2(1(2(1(2(1(2(0(z0)))))))))), 0'(2(1(2(1(2(1(2(0(z0))))))))), 2'(1(2(1(2(1(2(0(z0)))))))), 1'(2(1(2(1(2(0(z0))))))), 2'(1(2(1(2(0(z0)))))), 1'(2(1(2(0(z0))))), 2'(1(2(0(z0)))), 1'(2(0(z0))), 2'(0(z0)), 0'(z0)) 2'(c_2(c_1(c_1(c_2(c_2(c_1(c_2(c_1(c_1(c_1(c_0(c_0(c_2(c_1(c_1(c_0(c_2(c_0(c_0(c_1(c_1(c_2(z0))))))))))))))))))))))) -> c46(2'(1(1(1(2(2(2(1(1(0(2(2(1(0(1(0(2(2(1(2(0(0(0(1(2(1(2(z0))))))))))))))))))))))))))), 1'(1(1(2(2(2(1(1(0(2(2(1(0(1(0(2(2(1(2(0(0(0(1(2(1(2(z0)))))))))))))))))))))))))), 1'(1(2(2(2(1(1(0(2(2(1(0(1(0(2(2(1(2(0(0(0(1(2(1(2(z0))))))))))))))))))))))))), 1'(2(2(2(1(1(0(2(2(1(0(1(0(2(2(1(2(0(0(0(1(2(1(2(z0)))))))))))))))))))))))), 2'(2(2(1(1(0(2(2(1(0(1(0(2(2(1(2(0(0(0(1(2(1(2(z0))))))))))))))))))))))), 2'(2(1(1(0(2(2(1(0(1(0(2(2(1(2(0(0(0(1(2(1(2(z0)))))))))))))))))))))), 2'(1(1(0(2(2(1(0(1(0(2(2(1(2(0(0(0(1(2(1(2(z0))))))))))))))))))))), 1'(1(0(2(2(1(0(1(0(2(2(1(2(0(0(0(1(2(1(2(z0)))))))))))))))))))), 1'(0(2(2(1(0(1(0(2(2(1(2(0(0(0(1(2(1(2(z0))))))))))))))))))), 0'(2(2(1(0(1(0(2(2(1(2(0(0(0(1(2(1(2(z0)))))))))))))))))), 2'(2(1(0(1(0(2(2(1(2(0(0(0(1(2(1(2(z0))))))))))))))))), 2'(1(0(1(0(2(2(1(2(0(0(0(1(2(1(2(z0)))))))))))))))), 1'(0(1(0(2(2(1(2(0(0(0(1(2(1(2(z0))))))))))))))), 0'(1(0(2(2(1(2(0(0(0(1(2(1(2(z0)))))))))))))), 1'(0(2(2(1(2(0(0(0(1(2(1(2(z0))))))))))))), 0'(2(2(1(2(0(0(0(1(2(1(2(z0)))))))))))), 2'(2(1(2(0(0(0(1(2(1(2(z0))))))))))), 2'(1(2(0(0(0(1(2(1(2(z0)))))))))), 1'(2(0(0(0(1(2(1(2(z0))))))))), 2'(0(0(0(1(2(1(2(z0)))))))), 0'(0(0(1(2(1(2(z0))))))), 0'(0(1(2(1(2(z0)))))), 0'(1(2(1(2(z0))))), 1'(2(1(2(z0)))), 2'(1(2(z0))), 1'(2(z0)), 2'(z0)) 2'(c_2(c_0(c_1(c_1(c_0(c_0(c_1(c_2(c_1(c_0(c_2(c_1(c_2(c_2(c_2(c_1(c_0(c_0(c_2(c_2(c_2(c_0(z0))))))))))))))))))))))) -> c47(2'(2(1(0(0(0(0(2(2(1(1(2(2(1(0(2(1(2(1(2(2(1(2(2(2(0(0(z0))))))))))))))))))))))))))), 2'(1(0(0(0(0(2(2(1(1(2(2(1(0(2(1(2(1(2(2(1(2(2(2(0(0(z0)))))))))))))))))))))))))), 1'(0(0(0(0(2(2(1(1(2(2(1(0(2(1(2(1(2(2(1(2(2(2(0(0(z0))))))))))))))))))))))))), 0'(0(0(0(2(2(1(1(2(2(1(0(2(1(2(1(2(2(1(2(2(2(0(0(z0)))))))))))))))))))))))), 0'(0(0(2(2(1(1(2(2(1(0(2(1(2(1(2(2(1(2(2(2(0(0(z0))))))))))))))))))))))), 0'(0(2(2(1(1(2(2(1(0(2(1(2(1(2(2(1(2(2(2(0(0(z0)))))))))))))))))))))), 0'(2(2(1(1(2(2(1(0(2(1(2(1(2(2(1(2(2(2(0(0(z0))))))))))))))))))))), 2'(2(1(1(2(2(1(0(2(1(2(1(2(2(1(2(2(2(0(0(z0)))))))))))))))))))), 2'(1(1(2(2(1(0(2(1(2(1(2(2(1(2(2(2(0(0(z0))))))))))))))))))), 1'(1(2(2(1(0(2(1(2(1(2(2(1(2(2(2(0(0(z0)))))))))))))))))), 1'(2(2(1(0(2(1(2(1(2(2(1(2(2(2(0(0(z0))))))))))))))))), 2'(2(1(0(2(1(2(1(2(2(1(2(2(2(0(0(z0)))))))))))))))), 2'(1(0(2(1(2(1(2(2(1(2(2(2(0(0(z0))))))))))))))), 1'(0(2(1(2(1(2(2(1(2(2(2(0(0(z0)))))))))))))), 0'(2(1(2(1(2(2(1(2(2(2(0(0(z0))))))))))))), 2'(1(2(1(2(2(1(2(2(2(0(0(z0)))))))))))), 1'(2(1(2(2(1(2(2(2(0(0(z0))))))))))), 2'(1(2(2(1(2(2(2(0(0(z0)))))))))), 1'(2(2(1(2(2(2(0(0(z0))))))))), 2'(2(1(2(2(2(0(0(z0)))))))), 2'(1(2(2(2(0(0(z0))))))), 1'(2(2(2(0(0(z0)))))), 2'(2(2(0(0(z0))))), 2'(2(0(0(z0)))), 2'(0(0(z0))), 0'(0(z0)), 0'(z0)) 2'(c_1(c_2(c_1(c_0(c_2(c_1(c_2(c_0(c_0(c_0(c_0(c_2(c_0(c_0(c_0(c_2(c_2(c_0(c_0(c_0(c_0(c_1(z0))))))))))))))))))))))) -> c48(2'(1(2(1(2(0(0(2(1(0(0(2(2(0(1(0(2(1(2(1(2(2(1(2(1(1(2(z0))))))))))))))))))))))))))), 1'(2(1(2(0(0(2(1(0(0(2(2(0(1(0(2(1(2(1(2(2(1(2(1(1(2(z0)))))))))))))))))))))))))), 2'(1(2(0(0(2(1(0(0(2(2(0(1(0(2(1(2(1(2(2(1(2(1(1(2(z0))))))))))))))))))))))))), 1'(2(0(0(2(1(0(0(2(2(0(1(0(2(1(2(1(2(2(1(2(1(1(2(z0)))))))))))))))))))))))), 2'(0(0(2(1(0(0(2(2(0(1(0(2(1(2(1(2(2(1(2(1(1(2(z0))))))))))))))))))))))), 0'(0(2(1(0(0(2(2(0(1(0(2(1(2(1(2(2(1(2(1(1(2(z0)))))))))))))))))))))), 0'(2(1(0(0(2(2(0(1(0(2(1(2(1(2(2(1(2(1(1(2(z0))))))))))))))))))))), 2'(1(0(0(2(2(0(1(0(2(1(2(1(2(2(1(2(1(1(2(z0)))))))))))))))))))), 1'(0(0(2(2(0(1(0(2(1(2(1(2(2(1(2(1(1(2(z0))))))))))))))))))), 0'(0(2(2(0(1(0(2(1(2(1(2(2(1(2(1(1(2(z0)))))))))))))))))), 0'(2(2(0(1(0(2(1(2(1(2(2(1(2(1(1(2(z0))))))))))))))))), 2'(2(0(1(0(2(1(2(1(2(2(1(2(1(1(2(z0)))))))))))))))), 2'(0(1(0(2(1(2(1(2(2(1(2(1(1(2(z0))))))))))))))), 0'(1(0(2(1(2(1(2(2(1(2(1(1(2(z0)))))))))))))), 1'(0(2(1(2(1(2(2(1(2(1(1(2(z0))))))))))))), 0'(2(1(2(1(2(2(1(2(1(1(2(z0)))))))))))), 2'(1(2(1(2(2(1(2(1(1(2(z0))))))))))), 1'(2(1(2(2(1(2(1(1(2(z0)))))))))), 2'(1(2(2(1(2(1(1(2(z0))))))))), 1'(2(2(1(2(1(1(2(z0)))))))), 2'(2(1(2(1(1(2(z0))))))), 2'(1(2(1(1(2(z0)))))), 1'(2(1(1(2(z0))))), 2'(1(1(2(z0)))), 1'(1(2(z0))), 1'(2(z0)), 2'(z0)) K tuples:none Defined Rule Symbols: encArg_1, 0_1, 1_1, 2_1 Defined Pair Symbols: ENCARG_1, 0'_1, 1'_1, 2'_1, ENCODE_0_1, ENCODE_1_1, ENCODE_2_1 Compound Symbols: c_2, c1_2, c2_2, c7_27, c8_27, c9_27, c10_27, c11_27, c12_27, c13_27, c14_27, c15_27, c16_27, c18_27, c19_27, c20_27, c21_27, c22_27, c23_27, c24_27, c25_27, c26_27, c27_27, c28_27, c30_27, c31_27, c32_27, c33_27, c34_27, c35_27, c36_27, c37_27, c38_27, c39_27, c40_27, c41_27, c42_27, c43_27, c44_27, c45_27, c46_27, c47_27, c48_27, c6_1 ---------------------------------------- (49) CdtNarrowingProof (BOTH BOUNDS(ID, ID)) Use narrowing to replace ENCARG(cons_0(z0)) -> c(0'(encArg(z0)), ENCARG(z0)) by ENCARG(cons_0(cons_0(z0))) -> c(0'(0(encArg(z0))), ENCARG(cons_0(z0))) ENCARG(cons_0(cons_1(z0))) -> c(0'(1(encArg(z0))), ENCARG(cons_1(z0))) ENCARG(cons_0(cons_2(z0))) -> c(0'(2(encArg(z0))), ENCARG(cons_2(z0))) ---------------------------------------- (50) Obligation: Complexity Dependency Tuples Problem Rules: encArg(cons_0(z0)) -> 0(encArg(z0)) encArg(cons_1(z0)) -> 1(encArg(z0)) encArg(cons_2(z0)) -> 2(encArg(z0)) 0(z0) -> c_0(z0) 0(c_0(c_2(c_0(c_2(c_2(c_1(c_2(c_1(c_1(c_2(c_1(c_1(c_2(c_1(c_0(c_0(c_0(c_0(c_1(c_1(c_2(c_1(z0))))))))))))))))))))))) -> 0(0(1(2(2(1(1(2(2(1(1(2(2(2(2(0(1(2(1(2(1(1(1(0(1(2(2(z0))))))))))))))))))))))))))) 0(c_1(c_1(c_1(c_2(c_2(c_1(c_0(c_0(c_2(c_2(c_2(c_2(c_0(c_2(c_0(c_0(c_0(c_0(c_1(c_0(c_0(c_2(z0))))))))))))))))))))))) -> 0(2(1(1(1(1(2(2(1(1(0(1(1(2(1(2(1(0(0(1(2(2(1(0(0(2(2(z0))))))))))))))))))))))))))) 0(c_1(c_1(c_0(c_1(c_1(c_1(c_2(c_2(c_0(c_2(c_0(c_1(c_2(c_2(c_2(c_0(c_1(c_2(c_0(c_1(c_0(c_2(z0))))))))))))))))))))))) -> 0(2(0(1(0(2(0(2(2(2(1(2(1(1(2(2(2(2(2(2(2(1(0(0(0(2(2(z0))))))))))))))))))))))))))) 0(c_1(c_0(c_0(c_1(c_2(c_2(c_1(c_0(c_1(c_2(c_1(c_2(c_0(c_1(c_0(c_2(c_2(c_0(c_1(c_2(c_1(c_0(z0))))))))))))))))))))))) -> 0(0(0(1(2(2(2(2(2(2(2(0(0(0(0(1(2(1(2(2(2(1(0(2(0(2(0(z0))))))))))))))))))))))))))) 0(c_0(c_1(c_2(c_0(c_1(c_0(c_0(c_2(c_0(c_1(c_1(c_0(c_1(c_2(c_1(c_1(c_2(c_2(c_1(c_1(c_0(c_2(z0))))))))))))))))))))))) -> 0(2(2(2(0(1(1(2(1(2(2(1(2(1(0(2(2(2(1(2(1(1(0(0(1(0(2(z0))))))))))))))))))))))))))) 0(c_1(c_1(c_1(c_1(c_2(c_1(c_1(c_2(c_2(c_0(c_1(c_0(c_1(c_1(c_0(c_2(c_0(c_0(c_2(c_0(c_1(c_0(z0))))))))))))))))))))))) -> 2(2(2(2(2(1(0(1(2(2(0(1(1(1(2(2(1(1(0(0(0(0(2(2(1(2(2(z0))))))))))))))))))))))))))) 0(c_1(c_2(c_1(c_1(c_2(c_2(c_2(c_1(c_1(c_0(c_0(c_1(c_0(c_2(c_0(c_2(c_2(c_1(c_0(c_2(c_1(c_1(z0))))))))))))))))))))))) -> 2(1(2(1(2(1(2(2(0(2(0(1(2(1(2(1(2(0(1(2(0(0(2(2(1(1(2(z0))))))))))))))))))))))))))) 0(c_0(c_1(c_0(c_2(c_2(c_1(c_2(c_0(c_0(c_1(c_2(c_0(c_2(c_2(c_2(c_1(c_1(c_2(c_0(c_0(c_2(c_1(z0))))))))))))))))))))))) -> 0(1(1(1(0(2(1(2(1(2(0(1(1(2(1(1(2(2(2(2(2(0(2(2(2(1(2(z0))))))))))))))))))))))))))) 0(c_0(c_0(c_0(c_1(c_0(c_0(c_2(c_2(c_1(c_0(c_2(c_0(c_2(c_1(c_1(c_2(c_1(c_2(c_2(c_0(c_1(c_1(z0))))))))))))))))))))))) -> 0(1(2(0(0(2(1(2(2(1(1(2(1(1(1(1(2(2(2(1(2(1(0(2(1(1(0(z0))))))))))))))))))))))))))) 0(c_0(c_0(c_2(c_2(c_0(c_2(c_2(c_2(c_1(c_1(c_0(c_2(c_2(c_1(c_2(c_1(c_0(c_2(c_0(c_0(c_0(c_1(z0))))))))))))))))))))))) -> 2(0(1(1(1(2(2(1(1(2(2(2(2(1(0(1(2(1(1(2(2(2(1(2(1(2(2(z0))))))))))))))))))))))))))) 1(z0) -> c_1(z0) 1(c_2(c_0(c_0(c_2(c_0(c_1(c_2(c_2(c_0(c_2(c_1(c_2(c_1(c_2(c_0(c_1(c_0(c_1(c_2(c_0(c_2(c_1(z0))))))))))))))))))))))) -> 1(2(2(0(2(1(2(2(0(1(0(2(1(0(1(2(1(2(2(2(2(0(2(2(0(2(0(z0))))))))))))))))))))))))))) 1(c_1(c_0(c_2(c_1(c_2(c_2(c_2(c_2(c_1(c_0(c_1(c_2(c_0(c_1(c_2(c_1(c_1(c_0(c_2(c_1(c_2(c_0(z0))))))))))))))))))))))) -> 2(2(1(2(1(2(2(1(0(1(2(2(2(1(0(2(1(1(2(1(0(1(1(1(2(2(2(z0))))))))))))))))))))))))))) 1(c_1(c_0(c_1(c_2(c_2(c_2(c_2(c_1(c_0(c_2(c_1(c_2(c_0(c_0(c_0(c_1(c_0(c_2(c_1(c_1(c_1(c_2(z0))))))))))))))))))))))) -> 2(1(2(1(2(2(2(2(2(0(0(0(0(2(1(2(2(2(2(1(2(2(2(0(0(2(2(z0))))))))))))))))))))))))))) 1(c_1(c_2(c_2(c_1(c_0(c_2(c_0(c_1(c_1(c_2(c_2(c_2(c_1(c_0(c_1(c_0(c_0(c_2(c_1(c_1(c_0(c_2(z0))))))))))))))))))))))) -> 2(2(2(1(1(2(2(2(1(2(2(0(0(2(0(0(1(2(0(2(2(1(2(2(2(0(2(z0))))))))))))))))))))))))))) 1(c_0(c_1(c_0(c_2(c_2(c_2(c_2(c_1(c_0(c_0(c_2(c_0(c_2(c_1(c_2(c_1(c_2(c_1(c_1(c_2(c_0(c_2(z0))))))))))))))))))))))) -> 2(1(2(0(2(0(2(0(2(2(2(2(1(2(1(2(2(2(1(1(2(1(0(1(1(2(2(z0))))))))))))))))))))))))))) 1(c_1(c_1(c_0(c_2(c_2(c_1(c_1(c_1(c_2(c_2(c_0(c_2(c_0(c_2(c_1(c_1(c_2(c_1(c_2(c_1(c_2(c_2(z0))))))))))))))))))))))) -> 1(2(1(2(1(1(1(1(2(1(1(1(2(2(0(1(0(2(2(1(2(2(2(1(0(1(2(z0))))))))))))))))))))))))))) 1(c_0(c_0(c_1(c_0(c_1(c_1(c_0(c_2(c_1(c_1(c_2(c_1(c_2(c_1(c_2(c_0(c_1(c_2(c_2(c_1(c_2(c_1(z0))))))))))))))))))))))) -> 1(2(0(0(1(1(2(2(1(2(0(2(2(0(1(1(2(2(2(1(2(2(2(2(2(1(2(z0))))))))))))))))))))))))))) 1(c_2(c_2(c_2(c_1(c_1(c_0(c_0(c_2(c_2(c_2(c_0(c_0(c_0(c_2(c_1(c_2(c_2(c_0(c_2(c_0(c_2(c_0(z0))))))))))))))))))))))) -> 1(2(1(2(0(0(1(1(1(2(2(2(2(1(2(2(2(0(2(0(1(2(2(2(2(0(0(z0))))))))))))))))))))))))))) 1(c_2(c_0(c_2(c_1(c_2(c_2(c_1(c_2(c_2(c_2(c_0(c_1(c_1(c_1(c_1(c_0(c_1(c_0(c_0(c_2(c_0(c_1(z0))))))))))))))))))))))) -> 1(2(1(2(1(2(2(2(2(2(2(0(0(2(0(0(2(2(0(1(1(1(1(0(0(2(1(z0))))))))))))))))))))))))))) 1(c_1(c_0(c_2(c_1(c_0(c_2(c_0(c_1(c_2(c_0(c_2(c_0(c_0(c_2(c_1(c_0(c_1(c_0(c_1(c_2(c_1(c_2(z0))))))))))))))))))))))) -> 2(0(2(2(1(1(1(2(2(0(1(2(0(2(1(1(2(1(0(0(2(0(1(2(2(2(2(z0))))))))))))))))))))))))))) 1(c_1(c_0(c_0(c_1(c_1(c_1(c_2(c_2(c_2(c_1(c_2(c_1(c_0(c_0(c_0(c_2(c_2(c_2(c_0(c_1(c_2(c_0(z0))))))))))))))))))))))) -> 2(1(2(1(2(2(2(1(2(2(0(2(2(1(0(2(1(2(2(0(1(0(1(1(2(2(2(z0))))))))))))))))))))))))))) 2(z0) -> c_2(z0) 2(c_2(c_1(c_1(c_1(c_0(c_0(c_2(c_1(c_0(c_2(c_1(c_2(c_0(c_0(c_2(c_1(c_0(c_1(c_1(c_2(c_2(c_1(z0))))))))))))))))))))))) -> 2(1(2(2(0(1(2(1(1(0(1(2(1(0(0(1(2(2(1(2(1(0(2(1(2(2(1(z0))))))))))))))))))))))))))) 2(c_2(c_1(c_1(c_2(c_0(c_0(c_2(c_2(c_2(c_2(c_1(c_1(c_1(c_1(c_1(c_2(c_1(c_2(c_0(c_0(c_1(c_1(z0))))))))))))))))))))))) -> 2(2(1(1(2(2(1(2(1(2(2(0(0(0(2(1(0(2(2(1(2(2(0(1(1(2(2(z0))))))))))))))))))))))))))) 2(c_1(c_0(c_1(c_0(c_0(c_2(c_2(c_2(c_0(c_1(c_0(c_0(c_2(c_0(c_0(c_1(c_2(c_0(c_2(c_2(c_2(c_0(z0))))))))))))))))))))))) -> 2(1(1(2(0(1(2(0(0(2(0(1(2(2(1(1(1(2(2(2(0(0(1(1(0(2(0(z0))))))))))))))))))))))))))) 2(c_0(c_2(c_0(c_1(c_0(c_1(c_1(c_2(c_0(c_1(c_1(c_2(c_2(c_1(c_0(c_2(c_0(c_2(c_0(c_2(c_2(c_2(z0))))))))))))))))))))))) -> 2(0(0(1(1(2(0(2(2(1(1(2(2(0(1(2(2(2(0(0(2(0(2(2(2(0(2(z0))))))))))))))))))))))))))) 2(c_2(c_0(c_1(c_2(c_2(c_2(c_0(c_2(c_2(c_2(c_0(c_2(c_2(c_2(c_2(c_1(c_0(c_1(c_0(c_0(c_1(c_0(z0))))))))))))))))))))))) -> 2(2(0(1(1(2(2(2(1(1(2(1(0(0(1(2(2(1(2(1(0(2(2(0(0(2(0(z0))))))))))))))))))))))))))) 2(c_2(c_1(c_1(c_1(c_2(c_0(c_1(c_1(c_2(c_2(c_0(c_1(c_1(c_1(c_1(c_1(c_2(c_2(c_2(c_0(c_2(c_1(z0))))))))))))))))))))))) -> 1(2(1(2(2(1(1(1(1(2(2(2(1(2(0(0(0(1(2(0(0(1(2(2(2(2(2(z0))))))))))))))))))))))))))) 2(c_1(c_1(c_0(c_2(c_2(c_2(c_0(c_1(c_2(c_1(c_1(c_0(c_1(c_2(c_0(c_0(c_1(c_1(c_1(c_1(c_2(c_2(z0))))))))))))))))))))))) -> 2(0(0(2(1(0(0(0(0(0(1(2(1(1(2(1(1(2(1(2(2(0(1(1(1(2(2(z0))))))))))))))))))))))))))) 2(c_2(c_1(c_2(c_1(c_2(c_2(c_2(c_0(c_1(c_2(c_1(c_2(c_2(c_2(c_2(c_1(c_1(c_0(c_1(c_0(c_1(c_0(z0))))))))))))))))))))))) -> 1(2(1(2(1(2(0(1(2(2(0(1(1(1(2(2(1(1(1(2(2(0(1(0(1(2(2(z0))))))))))))))))))))))))))) 2(c_0(c_2(c_0(c_1(c_2(c_2(c_0(c_0(c_2(c_2(c_2(c_1(c_1(c_1(c_2(c_1(c_0(c_2(c_0(c_2(c_2(c_0(z0))))))))))))))))))))))) -> 2(1(1(1(2(2(0(0(0(2(1(0(0(0(1(1(0(2(2(0(2(2(2(2(2(2(0(z0))))))))))))))))))))))))))) 2(c_2(c_0(c_0(c_2(c_1(c_2(c_0(c_1(c_2(c_0(c_2(c_1(c_0(c_1(c_1(c_2(c_2(c_1(c_0(c_1(c_0(c_2(z0))))))))))))))))))))))) -> 2(2(2(2(1(2(1(2(0(2(2(2(2(2(0(1(2(0(2(1(0(0(0(2(0(2(2(z0))))))))))))))))))))))))))) 2(c_2(c_2(c_0(c_0(c_1(c_0(c_0(c_2(c_0(c_0(c_2(c_1(c_1(c_2(c_1(c_0(c_1(c_2(c_2(c_2(c_1(c_0(z0))))))))))))))))))))))) -> 1(2(2(2(2(0(1(2(1(2(0(1(2(1(2(1(0(1(0(1(0(1(1(2(2(1(0(z0))))))))))))))))))))))))))) 2(c_1(c_0(c_1(c_1(c_2(c_0(c_0(c_2(c_1(c_0(c_0(c_0(c_1(c_2(c_1(c_1(c_2(c_0(c_2(c_1(c_2(c_1(z0))))))))))))))))))))))) -> 2(0(2(2(0(0(2(2(1(1(1(2(0(1(0(1(2(2(2(2(2(0(0(0(2(2(1(z0))))))))))))))))))))))))))) 2(c_2(c_1(c_2(c_2(c_0(c_0(c_2(c_1(c_1(c_0(c_2(c_2(c_0(c_2(c_2(c_0(c_2(c_2(c_1(c_2(c_0(c_2(z0))))))))))))))))))))))) -> 1(2(1(1(1(2(2(2(1(2(1(0(2(1(1(1(1(2(2(0(0(1(1(0(2(1(2(z0))))))))))))))))))))))))))) 2(c_2(c_0(c_0(c_1(c_2(c_1(c_1(c_2(c_1(c_0(c_0(c_0(c_0(c_0(c_2(c_1(c_2(c_1(c_1(c_2(c_0(c_2(z0))))))))))))))))))))))) -> 2(1(1(2(2(2(2(1(2(1(0(0(2(1(0(2(2(0(1(1(0(2(0(0(0(0(2(z0))))))))))))))))))))))))))) 2(c_0(c_1(c_0(c_0(c_0(c_1(c_0(c_0(c_0(c_0(c_0(c_0(c_0(c_1(c_0(c_2(c_0(c_0(c_2(c_2(c_2(c_2(z0))))))))))))))))))))))) -> 2(2(2(1(1(2(1(2(0(1(1(2(1(0(2(1(0(0(1(0(1(1(2(1(2(2(2(z0))))))))))))))))))))))))))) 2(c_2(c_0(c_0(c_1(c_0(c_1(c_2(c_2(c_2(c_1(c_1(c_0(c_0(c_1(c_2(c_2(c_1(c_2(c_0(c_1(c_2(c_1(z0))))))))))))))))))))))) -> 2(2(2(2(0(2(0(2(2(1(2(1(0(1(1(2(2(0(0(2(1(2(1(2(1(2(0(z0))))))))))))))))))))))))))) 2(c_2(c_1(c_1(c_2(c_2(c_1(c_2(c_1(c_1(c_1(c_0(c_0(c_2(c_1(c_1(c_0(c_2(c_0(c_0(c_1(c_1(c_2(z0))))))))))))))))))))))) -> 2(1(1(1(2(2(2(1(1(0(2(2(1(0(1(0(2(2(1(2(0(0(0(1(2(1(2(z0))))))))))))))))))))))))))) 2(c_2(c_0(c_1(c_1(c_0(c_0(c_1(c_2(c_1(c_0(c_2(c_1(c_2(c_2(c_2(c_1(c_0(c_0(c_2(c_2(c_2(c_0(z0))))))))))))))))))))))) -> 2(2(1(0(0(0(0(2(2(1(1(2(2(1(0(2(1(2(1(2(2(1(2(2(2(0(0(z0))))))))))))))))))))))))))) 2(c_1(c_2(c_1(c_0(c_2(c_1(c_2(c_0(c_0(c_0(c_0(c_2(c_0(c_0(c_0(c_2(c_2(c_0(c_0(c_0(c_0(c_1(z0))))))))))))))))))))))) -> 2(1(2(1(2(0(0(2(1(0(0(2(2(0(1(0(2(1(2(1(2(2(1(2(1(1(2(z0))))))))))))))))))))))))))) Tuples: ENCARG(cons_1(z0)) -> c1(1'(encArg(z0)), ENCARG(z0)) ENCARG(cons_2(z0)) -> c2(2'(encArg(z0)), ENCARG(z0)) 0'(c_0(c_2(c_0(c_2(c_2(c_1(c_2(c_1(c_1(c_2(c_1(c_1(c_2(c_1(c_0(c_0(c_0(c_0(c_1(c_1(c_2(c_1(z0))))))))))))))))))))))) -> c7(0'(0(1(2(2(1(1(2(2(1(1(2(2(2(2(0(1(2(1(2(1(1(1(0(1(2(2(z0))))))))))))))))))))))))))), 0'(1(2(2(1(1(2(2(1(1(2(2(2(2(0(1(2(1(2(1(1(1(0(1(2(2(z0)))))))))))))))))))))))))), 1'(2(2(1(1(2(2(1(1(2(2(2(2(0(1(2(1(2(1(1(1(0(1(2(2(z0))))))))))))))))))))))))), 2'(2(1(1(2(2(1(1(2(2(2(2(0(1(2(1(2(1(1(1(0(1(2(2(z0)))))))))))))))))))))))), 2'(1(1(2(2(1(1(2(2(2(2(0(1(2(1(2(1(1(1(0(1(2(2(z0))))))))))))))))))))))), 1'(1(2(2(1(1(2(2(2(2(0(1(2(1(2(1(1(1(0(1(2(2(z0)))))))))))))))))))))), 1'(2(2(1(1(2(2(2(2(0(1(2(1(2(1(1(1(0(1(2(2(z0))))))))))))))))))))), 2'(2(1(1(2(2(2(2(0(1(2(1(2(1(1(1(0(1(2(2(z0)))))))))))))))))))), 2'(1(1(2(2(2(2(0(1(2(1(2(1(1(1(0(1(2(2(z0))))))))))))))))))), 1'(1(2(2(2(2(0(1(2(1(2(1(1(1(0(1(2(2(z0)))))))))))))))))), 1'(2(2(2(2(0(1(2(1(2(1(1(1(0(1(2(2(z0))))))))))))))))), 2'(2(2(2(0(1(2(1(2(1(1(1(0(1(2(2(z0)))))))))))))))), 2'(2(2(0(1(2(1(2(1(1(1(0(1(2(2(z0))))))))))))))), 2'(2(0(1(2(1(2(1(1(1(0(1(2(2(z0)))))))))))))), 2'(0(1(2(1(2(1(1(1(0(1(2(2(z0))))))))))))), 0'(1(2(1(2(1(1(1(0(1(2(2(z0)))))))))))), 1'(2(1(2(1(1(1(0(1(2(2(z0))))))))))), 2'(1(2(1(1(1(0(1(2(2(z0)))))))))), 1'(2(1(1(1(0(1(2(2(z0))))))))), 2'(1(1(1(0(1(2(2(z0)))))))), 1'(1(1(0(1(2(2(z0))))))), 1'(1(0(1(2(2(z0)))))), 1'(0(1(2(2(z0))))), 0'(1(2(2(z0)))), 1'(2(2(z0))), 2'(2(z0)), 2'(z0)) 0'(c_1(c_1(c_1(c_2(c_2(c_1(c_0(c_0(c_2(c_2(c_2(c_2(c_0(c_2(c_0(c_0(c_0(c_0(c_1(c_0(c_0(c_2(z0))))))))))))))))))))))) -> c8(0'(2(1(1(1(1(2(2(1(1(0(1(1(2(1(2(1(0(0(1(2(2(1(0(0(2(2(z0))))))))))))))))))))))))))), 2'(1(1(1(1(2(2(1(1(0(1(1(2(1(2(1(0(0(1(2(2(1(0(0(2(2(z0)))))))))))))))))))))))))), 1'(1(1(1(2(2(1(1(0(1(1(2(1(2(1(0(0(1(2(2(1(0(0(2(2(z0))))))))))))))))))))))))), 1'(1(1(2(2(1(1(0(1(1(2(1(2(1(0(0(1(2(2(1(0(0(2(2(z0)))))))))))))))))))))))), 1'(1(2(2(1(1(0(1(1(2(1(2(1(0(0(1(2(2(1(0(0(2(2(z0))))))))))))))))))))))), 1'(2(2(1(1(0(1(1(2(1(2(1(0(0(1(2(2(1(0(0(2(2(z0)))))))))))))))))))))), 2'(2(1(1(0(1(1(2(1(2(1(0(0(1(2(2(1(0(0(2(2(z0))))))))))))))))))))), 2'(1(1(0(1(1(2(1(2(1(0(0(1(2(2(1(0(0(2(2(z0)))))))))))))))))))), 1'(1(0(1(1(2(1(2(1(0(0(1(2(2(1(0(0(2(2(z0))))))))))))))))))), 1'(0(1(1(2(1(2(1(0(0(1(2(2(1(0(0(2(2(z0)))))))))))))))))), 0'(1(1(2(1(2(1(0(0(1(2(2(1(0(0(2(2(z0))))))))))))))))), 1'(1(2(1(2(1(0(0(1(2(2(1(0(0(2(2(z0)))))))))))))))), 1'(2(1(2(1(0(0(1(2(2(1(0(0(2(2(z0))))))))))))))), 2'(1(2(1(0(0(1(2(2(1(0(0(2(2(z0)))))))))))))), 1'(2(1(0(0(1(2(2(1(0(0(2(2(z0))))))))))))), 2'(1(0(0(1(2(2(1(0(0(2(2(z0)))))))))))), 1'(0(0(1(2(2(1(0(0(2(2(z0))))))))))), 0'(0(1(2(2(1(0(0(2(2(z0)))))))))), 0'(1(2(2(1(0(0(2(2(z0))))))))), 1'(2(2(1(0(0(2(2(z0)))))))), 2'(2(1(0(0(2(2(z0))))))), 2'(1(0(0(2(2(z0)))))), 1'(0(0(2(2(z0))))), 0'(0(2(2(z0)))), 0'(2(2(z0))), 2'(2(z0)), 2'(z0)) 0'(c_1(c_1(c_0(c_1(c_1(c_1(c_2(c_2(c_0(c_2(c_0(c_1(c_2(c_2(c_2(c_0(c_1(c_2(c_0(c_1(c_0(c_2(z0))))))))))))))))))))))) -> c9(0'(2(0(1(0(2(0(2(2(2(1(2(1(1(2(2(2(2(2(2(2(1(0(0(0(2(2(z0))))))))))))))))))))))))))), 2'(0(1(0(2(0(2(2(2(1(2(1(1(2(2(2(2(2(2(2(1(0(0(0(2(2(z0)))))))))))))))))))))))))), 0'(1(0(2(0(2(2(2(1(2(1(1(2(2(2(2(2(2(2(1(0(0(0(2(2(z0))))))))))))))))))))))))), 1'(0(2(0(2(2(2(1(2(1(1(2(2(2(2(2(2(2(1(0(0(0(2(2(z0)))))))))))))))))))))))), 0'(2(0(2(2(2(1(2(1(1(2(2(2(2(2(2(2(1(0(0(0(2(2(z0))))))))))))))))))))))), 2'(0(2(2(2(1(2(1(1(2(2(2(2(2(2(2(1(0(0(0(2(2(z0)))))))))))))))))))))), 0'(2(2(2(1(2(1(1(2(2(2(2(2(2(2(1(0(0(0(2(2(z0))))))))))))))))))))), 2'(2(2(1(2(1(1(2(2(2(2(2(2(2(1(0(0(0(2(2(z0)))))))))))))))))))), 2'(2(1(2(1(1(2(2(2(2(2(2(2(1(0(0(0(2(2(z0))))))))))))))))))), 2'(1(2(1(1(2(2(2(2(2(2(2(1(0(0(0(2(2(z0)))))))))))))))))), 1'(2(1(1(2(2(2(2(2(2(2(1(0(0(0(2(2(z0))))))))))))))))), 2'(1(1(2(2(2(2(2(2(2(1(0(0(0(2(2(z0)))))))))))))))), 1'(1(2(2(2(2(2(2(2(1(0(0(0(2(2(z0))))))))))))))), 1'(2(2(2(2(2(2(2(1(0(0(0(2(2(z0)))))))))))))), 2'(2(2(2(2(2(2(1(0(0(0(2(2(z0))))))))))))), 2'(2(2(2(2(2(1(0(0(0(2(2(z0)))))))))))), 2'(2(2(2(2(1(0(0(0(2(2(z0))))))))))), 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2'(0(0(0(0(2(1(2(2(2(2(1(2(2(2(0(0(2(2(z0))))))))))))))))))), 0'(0(0(0(2(1(2(2(2(2(1(2(2(2(0(0(2(2(z0)))))))))))))))))), 0'(0(0(2(1(2(2(2(2(1(2(2(2(0(0(2(2(z0))))))))))))))))), 0'(0(2(1(2(2(2(2(1(2(2(2(0(0(2(2(z0)))))))))))))))), 0'(2(1(2(2(2(2(1(2(2(2(0(0(2(2(z0))))))))))))))), 2'(1(2(2(2(2(1(2(2(2(0(0(2(2(z0)))))))))))))), 1'(2(2(2(2(1(2(2(2(0(0(2(2(z0))))))))))))), 2'(2(2(2(1(2(2(2(0(0(2(2(z0)))))))))))), 2'(2(2(1(2(2(2(0(0(2(2(z0))))))))))), 2'(2(1(2(2(2(0(0(2(2(z0)))))))))), 2'(1(2(2(2(0(0(2(2(z0))))))))), 1'(2(2(2(0(0(2(2(z0)))))))), 2'(2(2(0(0(2(2(z0))))))), 2'(2(0(0(2(2(z0)))))), 2'(0(0(2(2(z0))))), 0'(0(2(2(z0)))), 0'(2(2(z0))), 2'(2(z0)), 2'(z0)) 1'(c_1(c_2(c_2(c_1(c_0(c_2(c_0(c_1(c_1(c_2(c_2(c_2(c_1(c_0(c_1(c_0(c_0(c_2(c_1(c_1(c_0(c_2(z0))))))))))))))))))))))) -> c21(2'(2(2(1(1(2(2(2(1(2(2(0(0(2(0(0(1(2(0(2(2(1(2(2(2(0(2(z0))))))))))))))))))))))))))), 2'(2(1(1(2(2(2(1(2(2(0(0(2(0(0(1(2(0(2(2(1(2(2(2(0(2(z0)))))))))))))))))))))))))), 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2'(1(0(2(2(0(1(1(0(2(0(0(0(0(2(z0))))))))))))))), 1'(0(2(2(0(1(1(0(2(0(0(0(0(2(z0)))))))))))))), 0'(2(2(0(1(1(0(2(0(0(0(0(2(z0))))))))))))), 2'(2(0(1(1(0(2(0(0(0(0(2(z0)))))))))))), 2'(0(1(1(0(2(0(0(0(0(2(z0))))))))))), 0'(1(1(0(2(0(0(0(0(2(z0)))))))))), 1'(1(0(2(0(0(0(0(2(z0))))))))), 1'(0(2(0(0(0(0(2(z0)))))))), 0'(2(0(0(0(0(2(z0))))))), 2'(0(0(0(0(2(z0)))))), 0'(0(0(0(2(z0))))), 0'(0(0(2(z0)))), 0'(0(2(z0))), 0'(2(z0)), 2'(z0)) 2'(c_0(c_1(c_0(c_0(c_0(c_1(c_0(c_0(c_0(c_0(c_0(c_0(c_0(c_1(c_0(c_2(c_0(c_0(c_2(c_2(c_2(c_2(z0))))))))))))))))))))))) -> c44(2'(2(2(1(1(2(1(2(0(1(1(2(1(0(2(1(0(0(1(0(1(1(2(1(2(2(2(z0))))))))))))))))))))))))))), 2'(2(1(1(2(1(2(0(1(1(2(1(0(2(1(0(0(1(0(1(1(2(1(2(2(2(z0)))))))))))))))))))))))))), 2'(1(1(2(1(2(0(1(1(2(1(0(2(1(0(0(1(0(1(1(2(1(2(2(2(z0))))))))))))))))))))))))), 1'(1(2(1(2(0(1(1(2(1(0(2(1(0(0(1(0(1(1(2(1(2(2(2(z0)))))))))))))))))))))))), 1'(2(1(2(0(1(1(2(1(0(2(1(0(0(1(0(1(1(2(1(2(2(2(z0))))))))))))))))))))))), 2'(1(2(0(1(1(2(1(0(2(1(0(0(1(0(1(1(2(1(2(2(2(z0)))))))))))))))))))))), 1'(2(0(1(1(2(1(0(2(1(0(0(1(0(1(1(2(1(2(2(2(z0))))))))))))))))))))), 2'(0(1(1(2(1(0(2(1(0(0(1(0(1(1(2(1(2(2(2(z0)))))))))))))))))))), 0'(1(1(2(1(0(2(1(0(0(1(0(1(1(2(1(2(2(2(z0))))))))))))))))))), 1'(1(2(1(0(2(1(0(0(1(0(1(1(2(1(2(2(2(z0)))))))))))))))))), 1'(2(1(0(2(1(0(0(1(0(1(1(2(1(2(2(2(z0))))))))))))))))), 2'(1(0(2(1(0(0(1(0(1(1(2(1(2(2(2(z0)))))))))))))))), 1'(0(2(1(0(0(1(0(1(1(2(1(2(2(2(z0))))))))))))))), 0'(2(1(0(0(1(0(1(1(2(1(2(2(2(z0)))))))))))))), 2'(1(0(0(1(0(1(1(2(1(2(2(2(z0))))))))))))), 1'(0(0(1(0(1(1(2(1(2(2(2(z0)))))))))))), 0'(0(1(0(1(1(2(1(2(2(2(z0))))))))))), 0'(1(0(1(1(2(1(2(2(2(z0)))))))))), 1'(0(1(1(2(1(2(2(2(z0))))))))), 0'(1(1(2(1(2(2(2(z0)))))))), 1'(1(2(1(2(2(2(z0))))))), 1'(2(1(2(2(2(z0)))))), 2'(1(2(2(2(z0))))), 1'(2(2(2(z0)))), 2'(2(2(z0))), 2'(2(z0)), 2'(z0)) 2'(c_2(c_0(c_0(c_1(c_0(c_1(c_2(c_2(c_2(c_1(c_1(c_0(c_0(c_1(c_2(c_2(c_1(c_2(c_0(c_1(c_2(c_1(z0))))))))))))))))))))))) -> c45(2'(2(2(2(0(2(0(2(2(1(2(1(0(1(1(2(2(0(0(2(1(2(1(2(1(2(0(z0))))))))))))))))))))))))))), 2'(2(2(0(2(0(2(2(1(2(1(0(1(1(2(2(0(0(2(1(2(1(2(1(2(0(z0)))))))))))))))))))))))))), 2'(2(0(2(0(2(2(1(2(1(0(1(1(2(2(0(0(2(1(2(1(2(1(2(0(z0))))))))))))))))))))))))), 2'(0(2(0(2(2(1(2(1(0(1(1(2(2(0(0(2(1(2(1(2(1(2(0(z0)))))))))))))))))))))))), 0'(2(0(2(2(1(2(1(0(1(1(2(2(0(0(2(1(2(1(2(1(2(0(z0))))))))))))))))))))))), 2'(0(2(2(1(2(1(0(1(1(2(2(0(0(2(1(2(1(2(1(2(0(z0)))))))))))))))))))))), 0'(2(2(1(2(1(0(1(1(2(2(0(0(2(1(2(1(2(1(2(0(z0))))))))))))))))))))), 2'(2(1(2(1(0(1(1(2(2(0(0(2(1(2(1(2(1(2(0(z0)))))))))))))))))))), 2'(1(2(1(0(1(1(2(2(0(0(2(1(2(1(2(1(2(0(z0))))))))))))))))))), 1'(2(1(0(1(1(2(2(0(0(2(1(2(1(2(1(2(0(z0)))))))))))))))))), 2'(1(0(1(1(2(2(0(0(2(1(2(1(2(1(2(0(z0))))))))))))))))), 1'(0(1(1(2(2(0(0(2(1(2(1(2(1(2(0(z0)))))))))))))))), 0'(1(1(2(2(0(0(2(1(2(1(2(1(2(0(z0))))))))))))))), 1'(1(2(2(0(0(2(1(2(1(2(1(2(0(z0)))))))))))))), 1'(2(2(0(0(2(1(2(1(2(1(2(0(z0))))))))))))), 2'(2(0(0(2(1(2(1(2(1(2(0(z0)))))))))))), 2'(0(0(2(1(2(1(2(1(2(0(z0))))))))))), 0'(0(2(1(2(1(2(1(2(0(z0)))))))))), 0'(2(1(2(1(2(1(2(0(z0))))))))), 2'(1(2(1(2(1(2(0(z0)))))))), 1'(2(1(2(1(2(0(z0))))))), 2'(1(2(1(2(0(z0)))))), 1'(2(1(2(0(z0))))), 2'(1(2(0(z0)))), 1'(2(0(z0))), 2'(0(z0)), 0'(z0)) 2'(c_2(c_1(c_1(c_2(c_2(c_1(c_2(c_1(c_1(c_1(c_0(c_0(c_2(c_1(c_1(c_0(c_2(c_0(c_0(c_1(c_1(c_2(z0))))))))))))))))))))))) -> c46(2'(1(1(1(2(2(2(1(1(0(2(2(1(0(1(0(2(2(1(2(0(0(0(1(2(1(2(z0))))))))))))))))))))))))))), 1'(1(1(2(2(2(1(1(0(2(2(1(0(1(0(2(2(1(2(0(0(0(1(2(1(2(z0)))))))))))))))))))))))))), 1'(1(2(2(2(1(1(0(2(2(1(0(1(0(2(2(1(2(0(0(0(1(2(1(2(z0))))))))))))))))))))))))), 1'(2(2(2(1(1(0(2(2(1(0(1(0(2(2(1(2(0(0(0(1(2(1(2(z0)))))))))))))))))))))))), 2'(2(2(1(1(0(2(2(1(0(1(0(2(2(1(2(0(0(0(1(2(1(2(z0))))))))))))))))))))))), 2'(2(1(1(0(2(2(1(0(1(0(2(2(1(2(0(0(0(1(2(1(2(z0)))))))))))))))))))))), 2'(1(1(0(2(2(1(0(1(0(2(2(1(2(0(0(0(1(2(1(2(z0))))))))))))))))))))), 1'(1(0(2(2(1(0(1(0(2(2(1(2(0(0(0(1(2(1(2(z0)))))))))))))))))))), 1'(0(2(2(1(0(1(0(2(2(1(2(0(0(0(1(2(1(2(z0))))))))))))))))))), 0'(2(2(1(0(1(0(2(2(1(2(0(0(0(1(2(1(2(z0)))))))))))))))))), 2'(2(1(0(1(0(2(2(1(2(0(0(0(1(2(1(2(z0))))))))))))))))), 2'(1(0(1(0(2(2(1(2(0(0(0(1(2(1(2(z0)))))))))))))))), 1'(0(1(0(2(2(1(2(0(0(0(1(2(1(2(z0))))))))))))))), 0'(1(0(2(2(1(2(0(0(0(1(2(1(2(z0)))))))))))))), 1'(0(2(2(1(2(0(0(0(1(2(1(2(z0))))))))))))), 0'(2(2(1(2(0(0(0(1(2(1(2(z0)))))))))))), 2'(2(1(2(0(0(0(1(2(1(2(z0))))))))))), 2'(1(2(0(0(0(1(2(1(2(z0)))))))))), 1'(2(0(0(0(1(2(1(2(z0))))))))), 2'(0(0(0(1(2(1(2(z0)))))))), 0'(0(0(1(2(1(2(z0))))))), 0'(0(1(2(1(2(z0)))))), 0'(1(2(1(2(z0))))), 1'(2(1(2(z0)))), 2'(1(2(z0))), 1'(2(z0)), 2'(z0)) 2'(c_2(c_0(c_1(c_1(c_0(c_0(c_1(c_2(c_1(c_0(c_2(c_1(c_2(c_2(c_2(c_1(c_0(c_0(c_2(c_2(c_2(c_0(z0))))))))))))))))))))))) -> c47(2'(2(1(0(0(0(0(2(2(1(1(2(2(1(0(2(1(2(1(2(2(1(2(2(2(0(0(z0))))))))))))))))))))))))))), 2'(1(0(0(0(0(2(2(1(1(2(2(1(0(2(1(2(1(2(2(1(2(2(2(0(0(z0)))))))))))))))))))))))))), 1'(0(0(0(0(2(2(1(1(2(2(1(0(2(1(2(1(2(2(1(2(2(2(0(0(z0))))))))))))))))))))))))), 0'(0(0(0(2(2(1(1(2(2(1(0(2(1(2(1(2(2(1(2(2(2(0(0(z0)))))))))))))))))))))))), 0'(0(0(2(2(1(1(2(2(1(0(2(1(2(1(2(2(1(2(2(2(0(0(z0))))))))))))))))))))))), 0'(0(2(2(1(1(2(2(1(0(2(1(2(1(2(2(1(2(2(2(0(0(z0)))))))))))))))))))))), 0'(2(2(1(1(2(2(1(0(2(1(2(1(2(2(1(2(2(2(0(0(z0))))))))))))))))))))), 2'(2(1(1(2(2(1(0(2(1(2(1(2(2(1(2(2(2(0(0(z0)))))))))))))))))))), 2'(1(1(2(2(1(0(2(1(2(1(2(2(1(2(2(2(0(0(z0))))))))))))))))))), 1'(1(2(2(1(0(2(1(2(1(2(2(1(2(2(2(0(0(z0)))))))))))))))))), 1'(2(2(1(0(2(1(2(1(2(2(1(2(2(2(0(0(z0))))))))))))))))), 2'(2(1(0(2(1(2(1(2(2(1(2(2(2(0(0(z0)))))))))))))))), 2'(1(0(2(1(2(1(2(2(1(2(2(2(0(0(z0))))))))))))))), 1'(0(2(1(2(1(2(2(1(2(2(2(0(0(z0)))))))))))))), 0'(2(1(2(1(2(2(1(2(2(2(0(0(z0))))))))))))), 2'(1(2(1(2(2(1(2(2(2(0(0(z0)))))))))))), 1'(2(1(2(2(1(2(2(2(0(0(z0))))))))))), 2'(1(2(2(1(2(2(2(0(0(z0)))))))))), 1'(2(2(1(2(2(2(0(0(z0))))))))), 2'(2(1(2(2(2(0(0(z0)))))))), 2'(1(2(2(2(0(0(z0))))))), 1'(2(2(2(0(0(z0)))))), 2'(2(2(0(0(z0))))), 2'(2(0(0(z0)))), 2'(0(0(z0))), 0'(0(z0)), 0'(z0)) 2'(c_1(c_2(c_1(c_0(c_2(c_1(c_2(c_0(c_0(c_0(c_0(c_2(c_0(c_0(c_0(c_2(c_2(c_0(c_0(c_0(c_0(c_1(z0))))))))))))))))))))))) -> c48(2'(1(2(1(2(0(0(2(1(0(0(2(2(0(1(0(2(1(2(1(2(2(1(2(1(1(2(z0))))))))))))))))))))))))))), 1'(2(1(2(0(0(2(1(0(0(2(2(0(1(0(2(1(2(1(2(2(1(2(1(1(2(z0)))))))))))))))))))))))))), 2'(1(2(0(0(2(1(0(0(2(2(0(1(0(2(1(2(1(2(2(1(2(1(1(2(z0))))))))))))))))))))))))), 1'(2(0(0(2(1(0(0(2(2(0(1(0(2(1(2(1(2(2(1(2(1(1(2(z0)))))))))))))))))))))))), 2'(0(0(2(1(0(0(2(2(0(1(0(2(1(2(1(2(2(1(2(1(1(2(z0))))))))))))))))))))))), 0'(0(2(1(0(0(2(2(0(1(0(2(1(2(1(2(2(1(2(1(1(2(z0)))))))))))))))))))))), 0'(2(1(0(0(2(2(0(1(0(2(1(2(1(2(2(1(2(1(1(2(z0))))))))))))))))))))), 2'(1(0(0(2(2(0(1(0(2(1(2(1(2(2(1(2(1(1(2(z0)))))))))))))))))))), 1'(0(0(2(2(0(1(0(2(1(2(1(2(2(1(2(1(1(2(z0))))))))))))))))))), 0'(0(2(2(0(1(0(2(1(2(1(2(2(1(2(1(1(2(z0)))))))))))))))))), 0'(2(2(0(1(0(2(1(2(1(2(2(1(2(1(1(2(z0))))))))))))))))), 2'(2(0(1(0(2(1(2(1(2(2(1(2(1(1(2(z0)))))))))))))))), 2'(0(1(0(2(1(2(1(2(2(1(2(1(1(2(z0))))))))))))))), 0'(1(0(2(1(2(1(2(2(1(2(1(1(2(z0)))))))))))))), 1'(0(2(1(2(1(2(2(1(2(1(1(2(z0))))))))))))), 0'(2(1(2(1(2(2(1(2(1(1(2(z0)))))))))))), 2'(1(2(1(2(2(1(2(1(1(2(z0))))))))))), 1'(2(1(2(2(1(2(1(1(2(z0)))))))))), 2'(1(2(2(1(2(1(1(2(z0))))))))), 1'(2(2(1(2(1(1(2(z0)))))))), 2'(2(1(2(1(1(2(z0))))))), 2'(1(2(1(1(2(z0)))))), 1'(2(1(1(2(z0))))), 2'(1(1(2(z0)))), 1'(1(2(z0))), 1'(2(z0)), 2'(z0)) ENCODE_0(z0) -> c6(0'(encArg(z0))) ENCODE_1(z0) -> c6(1'(encArg(z0))) ENCODE_2(z0) -> c6(2'(encArg(z0))) ENCARG(cons_0(cons_0(z0))) -> c(0'(0(encArg(z0))), ENCARG(cons_0(z0))) ENCARG(cons_0(cons_1(z0))) -> c(0'(1(encArg(z0))), ENCARG(cons_1(z0))) ENCARG(cons_0(cons_2(z0))) -> c(0'(2(encArg(z0))), ENCARG(cons_2(z0))) S tuples: 0'(c_0(c_2(c_0(c_2(c_2(c_1(c_2(c_1(c_1(c_2(c_1(c_1(c_2(c_1(c_0(c_0(c_0(c_0(c_1(c_1(c_2(c_1(z0))))))))))))))))))))))) -> c7(0'(0(1(2(2(1(1(2(2(1(1(2(2(2(2(0(1(2(1(2(1(1(1(0(1(2(2(z0))))))))))))))))))))))))))), 0'(1(2(2(1(1(2(2(1(1(2(2(2(2(0(1(2(1(2(1(1(1(0(1(2(2(z0)))))))))))))))))))))))))), 1'(2(2(1(1(2(2(1(1(2(2(2(2(0(1(2(1(2(1(1(1(0(1(2(2(z0))))))))))))))))))))))))), 2'(2(1(1(2(2(1(1(2(2(2(2(0(1(2(1(2(1(1(1(0(1(2(2(z0)))))))))))))))))))))))), 2'(1(1(2(2(1(1(2(2(2(2(0(1(2(1(2(1(1(1(0(1(2(2(z0))))))))))))))))))))))), 1'(1(2(2(1(1(2(2(2(2(0(1(2(1(2(1(1(1(0(1(2(2(z0)))))))))))))))))))))), 1'(2(2(1(1(2(2(2(2(0(1(2(1(2(1(1(1(0(1(2(2(z0))))))))))))))))))))), 2'(2(1(1(2(2(2(2(0(1(2(1(2(1(1(1(0(1(2(2(z0)))))))))))))))))))), 2'(1(1(2(2(2(2(0(1(2(1(2(1(1(1(0(1(2(2(z0))))))))))))))))))), 1'(1(2(2(2(2(0(1(2(1(2(1(1(1(0(1(2(2(z0)))))))))))))))))), 1'(2(2(2(2(0(1(2(1(2(1(1(1(0(1(2(2(z0))))))))))))))))), 2'(2(2(2(0(1(2(1(2(1(1(1(0(1(2(2(z0)))))))))))))))), 2'(2(2(0(1(2(1(2(1(1(1(0(1(2(2(z0))))))))))))))), 2'(2(0(1(2(1(2(1(1(1(0(1(2(2(z0)))))))))))))), 2'(0(1(2(1(2(1(1(1(0(1(2(2(z0))))))))))))), 0'(1(2(1(2(1(1(1(0(1(2(2(z0)))))))))))), 1'(2(1(2(1(1(1(0(1(2(2(z0))))))))))), 2'(1(2(1(1(1(0(1(2(2(z0)))))))))), 1'(2(1(1(1(0(1(2(2(z0))))))))), 2'(1(1(1(0(1(2(2(z0)))))))), 1'(1(1(0(1(2(2(z0))))))), 1'(1(0(1(2(2(z0)))))), 1'(0(1(2(2(z0))))), 0'(1(2(2(z0)))), 1'(2(2(z0))), 2'(2(z0)), 2'(z0)) 0'(c_1(c_1(c_1(c_2(c_2(c_1(c_0(c_0(c_2(c_2(c_2(c_2(c_0(c_2(c_0(c_0(c_0(c_0(c_1(c_0(c_0(c_2(z0))))))))))))))))))))))) -> c8(0'(2(1(1(1(1(2(2(1(1(0(1(1(2(1(2(1(0(0(1(2(2(1(0(0(2(2(z0))))))))))))))))))))))))))), 2'(1(1(1(1(2(2(1(1(0(1(1(2(1(2(1(0(0(1(2(2(1(0(0(2(2(z0)))))))))))))))))))))))))), 1'(1(1(1(2(2(1(1(0(1(1(2(1(2(1(0(0(1(2(2(1(0(0(2(2(z0))))))))))))))))))))))))), 1'(1(1(2(2(1(1(0(1(1(2(1(2(1(0(0(1(2(2(1(0(0(2(2(z0)))))))))))))))))))))))), 1'(1(2(2(1(1(0(1(1(2(1(2(1(0(0(1(2(2(1(0(0(2(2(z0))))))))))))))))))))))), 1'(2(2(1(1(0(1(1(2(1(2(1(0(0(1(2(2(1(0(0(2(2(z0)))))))))))))))))))))), 2'(2(1(1(0(1(1(2(1(2(1(0(0(1(2(2(1(0(0(2(2(z0))))))))))))))))))))), 2'(1(1(0(1(1(2(1(2(1(0(0(1(2(2(1(0(0(2(2(z0)))))))))))))))))))), 1'(1(0(1(1(2(1(2(1(0(0(1(2(2(1(0(0(2(2(z0))))))))))))))))))), 1'(0(1(1(2(1(2(1(0(0(1(2(2(1(0(0(2(2(z0)))))))))))))))))), 0'(1(1(2(1(2(1(0(0(1(2(2(1(0(0(2(2(z0))))))))))))))))), 1'(1(2(1(2(1(0(0(1(2(2(1(0(0(2(2(z0)))))))))))))))), 1'(2(1(2(1(0(0(1(2(2(1(0(0(2(2(z0))))))))))))))), 2'(1(2(1(0(0(1(2(2(1(0(0(2(2(z0)))))))))))))), 1'(2(1(0(0(1(2(2(1(0(0(2(2(z0))))))))))))), 2'(1(0(0(1(2(2(1(0(0(2(2(z0)))))))))))), 1'(0(0(1(2(2(1(0(0(2(2(z0))))))))))), 0'(0(1(2(2(1(0(0(2(2(z0)))))))))), 0'(1(2(2(1(0(0(2(2(z0))))))))), 1'(2(2(1(0(0(2(2(z0)))))))), 2'(2(1(0(0(2(2(z0))))))), 2'(1(0(0(2(2(z0)))))), 1'(0(0(2(2(z0))))), 0'(0(2(2(z0)))), 0'(2(2(z0))), 2'(2(z0)), 2'(z0)) 0'(c_1(c_1(c_0(c_1(c_1(c_1(c_2(c_2(c_0(c_2(c_0(c_1(c_2(c_2(c_2(c_0(c_1(c_2(c_0(c_1(c_0(c_2(z0))))))))))))))))))))))) -> c9(0'(2(0(1(0(2(0(2(2(2(1(2(1(1(2(2(2(2(2(2(2(1(0(0(0(2(2(z0))))))))))))))))))))))))))), 2'(0(1(0(2(0(2(2(2(1(2(1(1(2(2(2(2(2(2(2(1(0(0(0(2(2(z0)))))))))))))))))))))))))), 0'(1(0(2(0(2(2(2(1(2(1(1(2(2(2(2(2(2(2(1(0(0(0(2(2(z0))))))))))))))))))))))))), 1'(0(2(0(2(2(2(1(2(1(1(2(2(2(2(2(2(2(1(0(0(0(2(2(z0)))))))))))))))))))))))), 0'(2(0(2(2(2(1(2(1(1(2(2(2(2(2(2(2(1(0(0(0(2(2(z0))))))))))))))))))))))), 2'(0(2(2(2(1(2(1(1(2(2(2(2(2(2(2(1(0(0(0(2(2(z0)))))))))))))))))))))), 0'(2(2(2(1(2(1(1(2(2(2(2(2(2(2(1(0(0(0(2(2(z0))))))))))))))))))))), 2'(2(2(1(2(1(1(2(2(2(2(2(2(2(1(0(0(0(2(2(z0)))))))))))))))))))), 2'(2(1(2(1(1(2(2(2(2(2(2(2(1(0(0(0(2(2(z0))))))))))))))))))), 2'(1(2(1(1(2(2(2(2(2(2(2(1(0(0(0(2(2(z0)))))))))))))))))), 1'(2(1(1(2(2(2(2(2(2(2(1(0(0(0(2(2(z0))))))))))))))))), 2'(1(1(2(2(2(2(2(2(2(1(0(0(0(2(2(z0)))))))))))))))), 1'(1(2(2(2(2(2(2(2(1(0(0(0(2(2(z0))))))))))))))), 1'(2(2(2(2(2(2(2(1(0(0(0(2(2(z0)))))))))))))), 2'(2(2(2(2(2(2(1(0(0(0(2(2(z0))))))))))))), 2'(2(2(2(2(2(1(0(0(0(2(2(z0)))))))))))), 2'(2(2(2(2(1(0(0(0(2(2(z0))))))))))), 2'(2(2(2(1(0(0(0(2(2(z0)))))))))), 2'(2(2(1(0(0(0(2(2(z0))))))))), 2'(2(1(0(0(0(2(2(z0)))))))), 2'(1(0(0(0(2(2(z0))))))), 1'(0(0(0(2(2(z0)))))), 0'(0(0(2(2(z0))))), 0'(0(2(2(z0)))), 0'(2(2(z0))), 2'(2(z0)), 2'(z0)) 0'(c_1(c_0(c_0(c_1(c_2(c_2(c_1(c_0(c_1(c_2(c_1(c_2(c_0(c_1(c_0(c_2(c_2(c_0(c_1(c_2(c_1(c_0(z0))))))))))))))))))))))) -> c10(0'(0(0(1(2(2(2(2(2(2(2(0(0(0(0(1(2(1(2(2(2(1(0(2(0(2(0(z0))))))))))))))))))))))))))), 0'(0(1(2(2(2(2(2(2(2(0(0(0(0(1(2(1(2(2(2(1(0(2(0(2(0(z0)))))))))))))))))))))))))), 0'(1(2(2(2(2(2(2(2(0(0(0(0(1(2(1(2(2(2(1(0(2(0(2(0(z0))))))))))))))))))))))))), 1'(2(2(2(2(2(2(2(0(0(0(0(1(2(1(2(2(2(1(0(2(0(2(0(z0)))))))))))))))))))))))), 2'(2(2(2(2(2(2(0(0(0(0(1(2(1(2(2(2(1(0(2(0(2(0(z0))))))))))))))))))))))), 2'(2(2(2(2(2(0(0(0(0(1(2(1(2(2(2(1(0(2(0(2(0(z0)))))))))))))))))))))), 2'(2(2(2(2(0(0(0(0(1(2(1(2(2(2(1(0(2(0(2(0(z0))))))))))))))))))))), 2'(2(2(2(0(0(0(0(1(2(1(2(2(2(1(0(2(0(2(0(z0)))))))))))))))))))), 2'(2(2(0(0(0(0(1(2(1(2(2(2(1(0(2(0(2(0(z0))))))))))))))))))), 2'(2(0(0(0(0(1(2(1(2(2(2(1(0(2(0(2(0(z0)))))))))))))))))), 2'(0(0(0(0(1(2(1(2(2(2(1(0(2(0(2(0(z0))))))))))))))))), 0'(0(0(0(1(2(1(2(2(2(1(0(2(0(2(0(z0)))))))))))))))), 0'(0(0(1(2(1(2(2(2(1(0(2(0(2(0(z0))))))))))))))), 0'(0(1(2(1(2(2(2(1(0(2(0(2(0(z0)))))))))))))), 0'(1(2(1(2(2(2(1(0(2(0(2(0(z0))))))))))))), 1'(2(1(2(2(2(1(0(2(0(2(0(z0)))))))))))), 2'(1(2(2(2(1(0(2(0(2(0(z0))))))))))), 1'(2(2(2(1(0(2(0(2(0(z0)))))))))), 2'(2(2(1(0(2(0(2(0(z0))))))))), 2'(2(1(0(2(0(2(0(z0)))))))), 2'(1(0(2(0(2(0(z0))))))), 1'(0(2(0(2(0(z0)))))), 0'(2(0(2(0(z0))))), 2'(0(2(0(z0)))), 0'(2(0(z0))), 2'(0(z0)), 0'(z0)) 0'(c_0(c_1(c_2(c_0(c_1(c_0(c_0(c_2(c_0(c_1(c_1(c_0(c_1(c_2(c_1(c_1(c_2(c_2(c_1(c_1(c_0(c_2(z0))))))))))))))))))))))) -> c11(0'(2(2(2(0(1(1(2(1(2(2(1(2(1(0(2(2(2(1(2(1(1(0(0(1(0(2(z0))))))))))))))))))))))))))), 2'(2(2(0(1(1(2(1(2(2(1(2(1(0(2(2(2(1(2(1(1(0(0(1(0(2(z0)))))))))))))))))))))))))), 2'(2(0(1(1(2(1(2(2(1(2(1(0(2(2(2(1(2(1(1(0(0(1(0(2(z0))))))))))))))))))))))))), 2'(0(1(1(2(1(2(2(1(2(1(0(2(2(2(1(2(1(1(0(0(1(0(2(z0)))))))))))))))))))))))), 0'(1(1(2(1(2(2(1(2(1(0(2(2(2(1(2(1(1(0(0(1(0(2(z0))))))))))))))))))))))), 1'(1(2(1(2(2(1(2(1(0(2(2(2(1(2(1(1(0(0(1(0(2(z0)))))))))))))))))))))), 1'(2(1(2(2(1(2(1(0(2(2(2(1(2(1(1(0(0(1(0(2(z0))))))))))))))))))))), 2'(1(2(2(1(2(1(0(2(2(2(1(2(1(1(0(0(1(0(2(z0)))))))))))))))))))), 1'(2(2(1(2(1(0(2(2(2(1(2(1(1(0(0(1(0(2(z0))))))))))))))))))), 2'(2(1(2(1(0(2(2(2(1(2(1(1(0(0(1(0(2(z0)))))))))))))))))), 2'(1(2(1(0(2(2(2(1(2(1(1(0(0(1(0(2(z0))))))))))))))))), 1'(2(1(0(2(2(2(1(2(1(1(0(0(1(0(2(z0)))))))))))))))), 2'(1(0(2(2(2(1(2(1(1(0(0(1(0(2(z0))))))))))))))), 1'(0(2(2(2(1(2(1(1(0(0(1(0(2(z0)))))))))))))), 0'(2(2(2(1(2(1(1(0(0(1(0(2(z0))))))))))))), 2'(2(2(1(2(1(1(0(0(1(0(2(z0)))))))))))), 2'(2(1(2(1(1(0(0(1(0(2(z0))))))))))), 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2'(c_2(c_0(c_0(c_1(c_0(c_1(c_2(c_2(c_2(c_1(c_1(c_0(c_0(c_1(c_2(c_2(c_1(c_2(c_0(c_1(c_2(c_1(z0))))))))))))))))))))))) -> c45(2'(2(2(2(0(2(0(2(2(1(2(1(0(1(1(2(2(0(0(2(1(2(1(2(1(2(0(z0))))))))))))))))))))))))))), 2'(2(2(0(2(0(2(2(1(2(1(0(1(1(2(2(0(0(2(1(2(1(2(1(2(0(z0)))))))))))))))))))))))))), 2'(2(0(2(0(2(2(1(2(1(0(1(1(2(2(0(0(2(1(2(1(2(1(2(0(z0))))))))))))))))))))))))), 2'(0(2(0(2(2(1(2(1(0(1(1(2(2(0(0(2(1(2(1(2(1(2(0(z0)))))))))))))))))))))))), 0'(2(0(2(2(1(2(1(0(1(1(2(2(0(0(2(1(2(1(2(1(2(0(z0))))))))))))))))))))))), 2'(0(2(2(1(2(1(0(1(1(2(2(0(0(2(1(2(1(2(1(2(0(z0)))))))))))))))))))))), 0'(2(2(1(2(1(0(1(1(2(2(0(0(2(1(2(1(2(1(2(0(z0))))))))))))))))))))), 2'(2(1(2(1(0(1(1(2(2(0(0(2(1(2(1(2(1(2(0(z0)))))))))))))))))))), 2'(1(2(1(0(1(1(2(2(0(0(2(1(2(1(2(1(2(0(z0))))))))))))))))))), 1'(2(1(0(1(1(2(2(0(0(2(1(2(1(2(1(2(0(z0)))))))))))))))))), 2'(1(0(1(1(2(2(0(0(2(1(2(1(2(1(2(0(z0))))))))))))))))), 1'(0(1(1(2(2(0(0(2(1(2(1(2(1(2(0(z0)))))))))))))))), 0'(1(1(2(2(0(0(2(1(2(1(2(1(2(0(z0))))))))))))))), 1'(1(2(2(0(0(2(1(2(1(2(1(2(0(z0)))))))))))))), 1'(2(2(0(0(2(1(2(1(2(1(2(0(z0))))))))))))), 2'(2(0(0(2(1(2(1(2(1(2(0(z0)))))))))))), 2'(0(0(2(1(2(1(2(1(2(0(z0))))))))))), 0'(0(2(1(2(1(2(1(2(0(z0)))))))))), 0'(2(1(2(1(2(1(2(0(z0))))))))), 2'(1(2(1(2(1(2(0(z0)))))))), 1'(2(1(2(1(2(0(z0))))))), 2'(1(2(1(2(0(z0)))))), 1'(2(1(2(0(z0))))), 2'(1(2(0(z0)))), 1'(2(0(z0))), 2'(0(z0)), 0'(z0)) 2'(c_2(c_1(c_1(c_2(c_2(c_1(c_2(c_1(c_1(c_1(c_0(c_0(c_2(c_1(c_1(c_0(c_2(c_0(c_0(c_1(c_1(c_2(z0))))))))))))))))))))))) -> c46(2'(1(1(1(2(2(2(1(1(0(2(2(1(0(1(0(2(2(1(2(0(0(0(1(2(1(2(z0))))))))))))))))))))))))))), 1'(1(1(2(2(2(1(1(0(2(2(1(0(1(0(2(2(1(2(0(0(0(1(2(1(2(z0)))))))))))))))))))))))))), 1'(1(2(2(2(1(1(0(2(2(1(0(1(0(2(2(1(2(0(0(0(1(2(1(2(z0))))))))))))))))))))))))), 1'(2(2(2(1(1(0(2(2(1(0(1(0(2(2(1(2(0(0(0(1(2(1(2(z0)))))))))))))))))))))))), 2'(2(2(1(1(0(2(2(1(0(1(0(2(2(1(2(0(0(0(1(2(1(2(z0))))))))))))))))))))))), 2'(2(1(1(0(2(2(1(0(1(0(2(2(1(2(0(0(0(1(2(1(2(z0)))))))))))))))))))))), 2'(1(1(0(2(2(1(0(1(0(2(2(1(2(0(0(0(1(2(1(2(z0))))))))))))))))))))), 1'(1(0(2(2(1(0(1(0(2(2(1(2(0(0(0(1(2(1(2(z0)))))))))))))))))))), 1'(0(2(2(1(0(1(0(2(2(1(2(0(0(0(1(2(1(2(z0))))))))))))))))))), 0'(2(2(1(0(1(0(2(2(1(2(0(0(0(1(2(1(2(z0)))))))))))))))))), 2'(2(1(0(1(0(2(2(1(2(0(0(0(1(2(1(2(z0))))))))))))))))), 2'(1(0(1(0(2(2(1(2(0(0(0(1(2(1(2(z0)))))))))))))))), 1'(0(1(0(2(2(1(2(0(0(0(1(2(1(2(z0))))))))))))))), 0'(1(0(2(2(1(2(0(0(0(1(2(1(2(z0)))))))))))))), 1'(0(2(2(1(2(0(0(0(1(2(1(2(z0))))))))))))), 0'(2(2(1(2(0(0(0(1(2(1(2(z0)))))))))))), 2'(2(1(2(0(0(0(1(2(1(2(z0))))))))))), 2'(1(2(0(0(0(1(2(1(2(z0)))))))))), 1'(2(0(0(0(1(2(1(2(z0))))))))), 2'(0(0(0(1(2(1(2(z0)))))))), 0'(0(0(1(2(1(2(z0))))))), 0'(0(1(2(1(2(z0)))))), 0'(1(2(1(2(z0))))), 1'(2(1(2(z0)))), 2'(1(2(z0))), 1'(2(z0)), 2'(z0)) 2'(c_2(c_0(c_1(c_1(c_0(c_0(c_1(c_2(c_1(c_0(c_2(c_1(c_2(c_2(c_2(c_1(c_0(c_0(c_2(c_2(c_2(c_0(z0))))))))))))))))))))))) -> c47(2'(2(1(0(0(0(0(2(2(1(1(2(2(1(0(2(1(2(1(2(2(1(2(2(2(0(0(z0))))))))))))))))))))))))))), 2'(1(0(0(0(0(2(2(1(1(2(2(1(0(2(1(2(1(2(2(1(2(2(2(0(0(z0)))))))))))))))))))))))))), 1'(0(0(0(0(2(2(1(1(2(2(1(0(2(1(2(1(2(2(1(2(2(2(0(0(z0))))))))))))))))))))))))), 0'(0(0(0(2(2(1(1(2(2(1(0(2(1(2(1(2(2(1(2(2(2(0(0(z0)))))))))))))))))))))))), 0'(0(0(2(2(1(1(2(2(1(0(2(1(2(1(2(2(1(2(2(2(0(0(z0))))))))))))))))))))))), 0'(0(2(2(1(1(2(2(1(0(2(1(2(1(2(2(1(2(2(2(0(0(z0)))))))))))))))))))))), 0'(2(2(1(1(2(2(1(0(2(1(2(1(2(2(1(2(2(2(0(0(z0))))))))))))))))))))), 2'(2(1(1(2(2(1(0(2(1(2(1(2(2(1(2(2(2(0(0(z0)))))))))))))))))))), 2'(1(1(2(2(1(0(2(1(2(1(2(2(1(2(2(2(0(0(z0))))))))))))))))))), 1'(1(2(2(1(0(2(1(2(1(2(2(1(2(2(2(0(0(z0)))))))))))))))))), 1'(2(2(1(0(2(1(2(1(2(2(1(2(2(2(0(0(z0))))))))))))))))), 2'(2(1(0(2(1(2(1(2(2(1(2(2(2(0(0(z0)))))))))))))))), 2'(1(0(2(1(2(1(2(2(1(2(2(2(0(0(z0))))))))))))))), 1'(0(2(1(2(1(2(2(1(2(2(2(0(0(z0)))))))))))))), 0'(2(1(2(1(2(2(1(2(2(2(0(0(z0))))))))))))), 2'(1(2(1(2(2(1(2(2(2(0(0(z0)))))))))))), 1'(2(1(2(2(1(2(2(2(0(0(z0))))))))))), 2'(1(2(2(1(2(2(2(0(0(z0)))))))))), 1'(2(2(1(2(2(2(0(0(z0))))))))), 2'(2(1(2(2(2(0(0(z0)))))))), 2'(1(2(2(2(0(0(z0))))))), 1'(2(2(2(0(0(z0)))))), 2'(2(2(0(0(z0))))), 2'(2(0(0(z0)))), 2'(0(0(z0))), 0'(0(z0)), 0'(z0)) 2'(c_1(c_2(c_1(c_0(c_2(c_1(c_2(c_0(c_0(c_0(c_0(c_2(c_0(c_0(c_0(c_2(c_2(c_0(c_0(c_0(c_0(c_1(z0))))))))))))))))))))))) -> c48(2'(1(2(1(2(0(0(2(1(0(0(2(2(0(1(0(2(1(2(1(2(2(1(2(1(1(2(z0))))))))))))))))))))))))))), 1'(2(1(2(0(0(2(1(0(0(2(2(0(1(0(2(1(2(1(2(2(1(2(1(1(2(z0)))))))))))))))))))))))))), 2'(1(2(0(0(2(1(0(0(2(2(0(1(0(2(1(2(1(2(2(1(2(1(1(2(z0))))))))))))))))))))))))), 1'(2(0(0(2(1(0(0(2(2(0(1(0(2(1(2(1(2(2(1(2(1(1(2(z0)))))))))))))))))))))))), 2'(0(0(2(1(0(0(2(2(0(1(0(2(1(2(1(2(2(1(2(1(1(2(z0))))))))))))))))))))))), 0'(0(2(1(0(0(2(2(0(1(0(2(1(2(1(2(2(1(2(1(1(2(z0)))))))))))))))))))))), 0'(2(1(0(0(2(2(0(1(0(2(1(2(1(2(2(1(2(1(1(2(z0))))))))))))))))))))), 2'(1(0(0(2(2(0(1(0(2(1(2(1(2(2(1(2(1(1(2(z0)))))))))))))))))))), 1'(0(0(2(2(0(1(0(2(1(2(1(2(2(1(2(1(1(2(z0))))))))))))))))))), 0'(0(2(2(0(1(0(2(1(2(1(2(2(1(2(1(1(2(z0)))))))))))))))))), 0'(2(2(0(1(0(2(1(2(1(2(2(1(2(1(1(2(z0))))))))))))))))), 2'(2(0(1(0(2(1(2(1(2(2(1(2(1(1(2(z0)))))))))))))))), 2'(0(1(0(2(1(2(1(2(2(1(2(1(1(2(z0))))))))))))))), 0'(1(0(2(1(2(1(2(2(1(2(1(1(2(z0)))))))))))))), 1'(0(2(1(2(1(2(2(1(2(1(1(2(z0))))))))))))), 0'(2(1(2(1(2(2(1(2(1(1(2(z0)))))))))))), 2'(1(2(1(2(2(1(2(1(1(2(z0))))))))))), 1'(2(1(2(2(1(2(1(1(2(z0)))))))))), 2'(1(2(2(1(2(1(1(2(z0))))))))), 1'(2(2(1(2(1(1(2(z0)))))))), 2'(2(1(2(1(1(2(z0))))))), 2'(1(2(1(1(2(z0)))))), 1'(2(1(1(2(z0))))), 2'(1(1(2(z0)))), 1'(1(2(z0))), 1'(2(z0)), 2'(z0)) K tuples:none Defined Rule Symbols: encArg_1, 0_1, 1_1, 2_1 Defined Pair Symbols: ENCARG_1, 0'_1, 1'_1, 2'_1, ENCODE_0_1, ENCODE_1_1, ENCODE_2_1 Compound Symbols: c1_2, c2_2, c7_27, c8_27, c9_27, c10_27, c11_27, c12_27, c13_27, c14_27, c15_27, c16_27, c18_27, c19_27, c20_27, c21_27, c22_27, c23_27, c24_27, c25_27, c26_27, c27_27, c28_27, c30_27, c31_27, c32_27, c33_27, c34_27, c35_27, c36_27, c37_27, c38_27, c39_27, c40_27, c41_27, c42_27, c43_27, c44_27, c45_27, c46_27, c47_27, c48_27, c6_1, c_2 ---------------------------------------- (51) CdtNarrowingProof (BOTH BOUNDS(ID, ID)) Use narrowing to replace ENCARG(cons_1(z0)) -> c1(1'(encArg(z0)), ENCARG(z0)) by ENCARG(cons_1(cons_0(z0))) -> c1(1'(0(encArg(z0))), ENCARG(cons_0(z0))) ENCARG(cons_1(cons_1(z0))) -> c1(1'(1(encArg(z0))), ENCARG(cons_1(z0))) ENCARG(cons_1(cons_2(z0))) -> c1(1'(2(encArg(z0))), ENCARG(cons_2(z0))) ---------------------------------------- (52) Obligation: Complexity Dependency Tuples Problem Rules: encArg(cons_0(z0)) -> 0(encArg(z0)) encArg(cons_1(z0)) -> 1(encArg(z0)) encArg(cons_2(z0)) -> 2(encArg(z0)) 0(z0) -> c_0(z0) 0(c_0(c_2(c_0(c_2(c_2(c_1(c_2(c_1(c_1(c_2(c_1(c_1(c_2(c_1(c_0(c_0(c_0(c_0(c_1(c_1(c_2(c_1(z0))))))))))))))))))))))) -> 0(0(1(2(2(1(1(2(2(1(1(2(2(2(2(0(1(2(1(2(1(1(1(0(1(2(2(z0))))))))))))))))))))))))))) 0(c_1(c_1(c_1(c_2(c_2(c_1(c_0(c_0(c_2(c_2(c_2(c_2(c_0(c_2(c_0(c_0(c_0(c_0(c_1(c_0(c_0(c_2(z0))))))))))))))))))))))) -> 0(2(1(1(1(1(2(2(1(1(0(1(1(2(1(2(1(0(0(1(2(2(1(0(0(2(2(z0))))))))))))))))))))))))))) 0(c_1(c_1(c_0(c_1(c_1(c_1(c_2(c_2(c_0(c_2(c_0(c_1(c_2(c_2(c_2(c_0(c_1(c_2(c_0(c_1(c_0(c_2(z0))))))))))))))))))))))) -> 0(2(0(1(0(2(0(2(2(2(1(2(1(1(2(2(2(2(2(2(2(1(0(0(0(2(2(z0))))))))))))))))))))))))))) 0(c_1(c_0(c_0(c_1(c_2(c_2(c_1(c_0(c_1(c_2(c_1(c_2(c_0(c_1(c_0(c_2(c_2(c_0(c_1(c_2(c_1(c_0(z0))))))))))))))))))))))) -> 0(0(0(1(2(2(2(2(2(2(2(0(0(0(0(1(2(1(2(2(2(1(0(2(0(2(0(z0))))))))))))))))))))))))))) 0(c_0(c_1(c_2(c_0(c_1(c_0(c_0(c_2(c_0(c_1(c_1(c_0(c_1(c_2(c_1(c_1(c_2(c_2(c_1(c_1(c_0(c_2(z0))))))))))))))))))))))) -> 0(2(2(2(0(1(1(2(1(2(2(1(2(1(0(2(2(2(1(2(1(1(0(0(1(0(2(z0))))))))))))))))))))))))))) 0(c_1(c_1(c_1(c_1(c_2(c_1(c_1(c_2(c_2(c_0(c_1(c_0(c_1(c_1(c_0(c_2(c_0(c_0(c_2(c_0(c_1(c_0(z0))))))))))))))))))))))) -> 2(2(2(2(2(1(0(1(2(2(0(1(1(1(2(2(1(1(0(0(0(0(2(2(1(2(2(z0))))))))))))))))))))))))))) 0(c_1(c_2(c_1(c_1(c_2(c_2(c_2(c_1(c_1(c_0(c_0(c_1(c_0(c_2(c_0(c_2(c_2(c_1(c_0(c_2(c_1(c_1(z0))))))))))))))))))))))) -> 2(1(2(1(2(1(2(2(0(2(0(1(2(1(2(1(2(0(1(2(0(0(2(2(1(1(2(z0))))))))))))))))))))))))))) 0(c_0(c_1(c_0(c_2(c_2(c_1(c_2(c_0(c_0(c_1(c_2(c_0(c_2(c_2(c_2(c_1(c_1(c_2(c_0(c_0(c_2(c_1(z0))))))))))))))))))))))) -> 0(1(1(1(0(2(1(2(1(2(0(1(1(2(1(1(2(2(2(2(2(0(2(2(2(1(2(z0))))))))))))))))))))))))))) 0(c_0(c_0(c_0(c_1(c_0(c_0(c_2(c_2(c_1(c_0(c_2(c_0(c_2(c_1(c_1(c_2(c_1(c_2(c_2(c_0(c_1(c_1(z0))))))))))))))))))))))) -> 0(1(2(0(0(2(1(2(2(1(1(2(1(1(1(1(2(2(2(1(2(1(0(2(1(1(0(z0))))))))))))))))))))))))))) 0(c_0(c_0(c_2(c_2(c_0(c_2(c_2(c_2(c_1(c_1(c_0(c_2(c_2(c_1(c_2(c_1(c_0(c_2(c_0(c_0(c_0(c_1(z0))))))))))))))))))))))) -> 2(0(1(1(1(2(2(1(1(2(2(2(2(1(0(1(2(1(1(2(2(2(1(2(1(2(2(z0))))))))))))))))))))))))))) 1(z0) -> c_1(z0) 1(c_2(c_0(c_0(c_2(c_0(c_1(c_2(c_2(c_0(c_2(c_1(c_2(c_1(c_2(c_0(c_1(c_0(c_1(c_2(c_0(c_2(c_1(z0))))))))))))))))))))))) -> 1(2(2(0(2(1(2(2(0(1(0(2(1(0(1(2(1(2(2(2(2(0(2(2(0(2(0(z0))))))))))))))))))))))))))) 1(c_1(c_0(c_2(c_1(c_2(c_2(c_2(c_2(c_1(c_0(c_1(c_2(c_0(c_1(c_2(c_1(c_1(c_0(c_2(c_1(c_2(c_0(z0))))))))))))))))))))))) -> 2(2(1(2(1(2(2(1(0(1(2(2(2(1(0(2(1(1(2(1(0(1(1(1(2(2(2(z0))))))))))))))))))))))))))) 1(c_1(c_0(c_1(c_2(c_2(c_2(c_2(c_1(c_0(c_2(c_1(c_2(c_0(c_0(c_0(c_1(c_0(c_2(c_1(c_1(c_1(c_2(z0))))))))))))))))))))))) -> 2(1(2(1(2(2(2(2(2(0(0(0(0(2(1(2(2(2(2(1(2(2(2(0(0(2(2(z0))))))))))))))))))))))))))) 1(c_1(c_2(c_2(c_1(c_0(c_2(c_0(c_1(c_1(c_2(c_2(c_2(c_1(c_0(c_1(c_0(c_0(c_2(c_1(c_1(c_0(c_2(z0))))))))))))))))))))))) -> 2(2(2(1(1(2(2(2(1(2(2(0(0(2(0(0(1(2(0(2(2(1(2(2(2(0(2(z0))))))))))))))))))))))))))) 1(c_0(c_1(c_0(c_2(c_2(c_2(c_2(c_1(c_0(c_0(c_2(c_0(c_2(c_1(c_2(c_1(c_2(c_1(c_1(c_2(c_0(c_2(z0))))))))))))))))))))))) -> 2(1(2(0(2(0(2(0(2(2(2(2(1(2(1(2(2(2(1(1(2(1(0(1(1(2(2(z0))))))))))))))))))))))))))) 1(c_1(c_1(c_0(c_2(c_2(c_1(c_1(c_1(c_2(c_2(c_0(c_2(c_0(c_2(c_1(c_1(c_2(c_1(c_2(c_1(c_2(c_2(z0))))))))))))))))))))))) -> 1(2(1(2(1(1(1(1(2(1(1(1(2(2(0(1(0(2(2(1(2(2(2(1(0(1(2(z0))))))))))))))))))))))))))) 1(c_0(c_0(c_1(c_0(c_1(c_1(c_0(c_2(c_1(c_1(c_2(c_1(c_2(c_1(c_2(c_0(c_1(c_2(c_2(c_1(c_2(c_1(z0))))))))))))))))))))))) -> 1(2(0(0(1(1(2(2(1(2(0(2(2(0(1(1(2(2(2(1(2(2(2(2(2(1(2(z0))))))))))))))))))))))))))) 1(c_2(c_2(c_2(c_1(c_1(c_0(c_0(c_2(c_2(c_2(c_0(c_0(c_0(c_2(c_1(c_2(c_2(c_0(c_2(c_0(c_2(c_0(z0))))))))))))))))))))))) -> 1(2(1(2(0(0(1(1(1(2(2(2(2(1(2(2(2(0(2(0(1(2(2(2(2(0(0(z0))))))))))))))))))))))))))) 1(c_2(c_0(c_2(c_1(c_2(c_2(c_1(c_2(c_2(c_2(c_0(c_1(c_1(c_1(c_1(c_0(c_1(c_0(c_0(c_2(c_0(c_1(z0))))))))))))))))))))))) -> 1(2(1(2(1(2(2(2(2(2(2(0(0(2(0(0(2(2(0(1(1(1(1(0(0(2(1(z0))))))))))))))))))))))))))) 1(c_1(c_0(c_2(c_1(c_0(c_2(c_0(c_1(c_2(c_0(c_2(c_0(c_0(c_2(c_1(c_0(c_1(c_0(c_1(c_2(c_1(c_2(z0))))))))))))))))))))))) -> 2(0(2(2(1(1(1(2(2(0(1(2(0(2(1(1(2(1(0(0(2(0(1(2(2(2(2(z0))))))))))))))))))))))))))) 1(c_1(c_0(c_0(c_1(c_1(c_1(c_2(c_2(c_2(c_1(c_2(c_1(c_0(c_0(c_0(c_2(c_2(c_2(c_0(c_1(c_2(c_0(z0))))))))))))))))))))))) -> 2(1(2(1(2(2(2(1(2(2(0(2(2(1(0(2(1(2(2(0(1(0(1(1(2(2(2(z0))))))))))))))))))))))))))) 2(z0) -> c_2(z0) 2(c_2(c_1(c_1(c_1(c_0(c_0(c_2(c_1(c_0(c_2(c_1(c_2(c_0(c_0(c_2(c_1(c_0(c_1(c_1(c_2(c_2(c_1(z0))))))))))))))))))))))) -> 2(1(2(2(0(1(2(1(1(0(1(2(1(0(0(1(2(2(1(2(1(0(2(1(2(2(1(z0))))))))))))))))))))))))))) 2(c_2(c_1(c_1(c_2(c_0(c_0(c_2(c_2(c_2(c_2(c_1(c_1(c_1(c_1(c_1(c_2(c_1(c_2(c_0(c_0(c_1(c_1(z0))))))))))))))))))))))) -> 2(2(1(1(2(2(1(2(1(2(2(0(0(0(2(1(0(2(2(1(2(2(0(1(1(2(2(z0))))))))))))))))))))))))))) 2(c_1(c_0(c_1(c_0(c_0(c_2(c_2(c_2(c_0(c_1(c_0(c_0(c_2(c_0(c_0(c_1(c_2(c_0(c_2(c_2(c_2(c_0(z0))))))))))))))))))))))) -> 2(1(1(2(0(1(2(0(0(2(0(1(2(2(1(1(1(2(2(2(0(0(1(1(0(2(0(z0))))))))))))))))))))))))))) 2(c_0(c_2(c_0(c_1(c_0(c_1(c_1(c_2(c_0(c_1(c_1(c_2(c_2(c_1(c_0(c_2(c_0(c_2(c_0(c_2(c_2(c_2(z0))))))))))))))))))))))) -> 2(0(0(1(1(2(0(2(2(1(1(2(2(0(1(2(2(2(0(0(2(0(2(2(2(0(2(z0))))))))))))))))))))))))))) 2(c_2(c_0(c_1(c_2(c_2(c_2(c_0(c_2(c_2(c_2(c_0(c_2(c_2(c_2(c_2(c_1(c_0(c_1(c_0(c_0(c_1(c_0(z0))))))))))))))))))))))) -> 2(2(0(1(1(2(2(2(1(1(2(1(0(0(1(2(2(1(2(1(0(2(2(0(0(2(0(z0))))))))))))))))))))))))))) 2(c_2(c_1(c_1(c_1(c_2(c_0(c_1(c_1(c_2(c_2(c_0(c_1(c_1(c_1(c_1(c_1(c_2(c_2(c_2(c_0(c_2(c_1(z0))))))))))))))))))))))) -> 1(2(1(2(2(1(1(1(1(2(2(2(1(2(0(0(0(1(2(0(0(1(2(2(2(2(2(z0))))))))))))))))))))))))))) 2(c_1(c_1(c_0(c_2(c_2(c_2(c_0(c_1(c_2(c_1(c_1(c_0(c_1(c_2(c_0(c_0(c_1(c_1(c_1(c_1(c_2(c_2(z0))))))))))))))))))))))) -> 2(0(0(2(1(0(0(0(0(0(1(2(1(1(2(1(1(2(1(2(2(0(1(1(1(2(2(z0))))))))))))))))))))))))))) 2(c_2(c_1(c_2(c_1(c_2(c_2(c_2(c_0(c_1(c_2(c_1(c_2(c_2(c_2(c_2(c_1(c_1(c_0(c_1(c_0(c_1(c_0(z0))))))))))))))))))))))) -> 1(2(1(2(1(2(0(1(2(2(0(1(1(1(2(2(1(1(1(2(2(0(1(0(1(2(2(z0))))))))))))))))))))))))))) 2(c_0(c_2(c_0(c_1(c_2(c_2(c_0(c_0(c_2(c_2(c_2(c_1(c_1(c_1(c_2(c_1(c_0(c_2(c_0(c_2(c_2(c_0(z0))))))))))))))))))))))) -> 2(1(1(1(2(2(0(0(0(2(1(0(0(0(1(1(0(2(2(0(2(2(2(2(2(2(0(z0))))))))))))))))))))))))))) 2(c_2(c_0(c_0(c_2(c_1(c_2(c_0(c_1(c_2(c_0(c_2(c_1(c_0(c_1(c_1(c_2(c_2(c_1(c_0(c_1(c_0(c_2(z0))))))))))))))))))))))) -> 2(2(2(2(1(2(1(2(0(2(2(2(2(2(0(1(2(0(2(1(0(0(0(2(0(2(2(z0))))))))))))))))))))))))))) 2(c_2(c_2(c_0(c_0(c_1(c_0(c_0(c_2(c_0(c_0(c_2(c_1(c_1(c_2(c_1(c_0(c_1(c_2(c_2(c_2(c_1(c_0(z0))))))))))))))))))))))) -> 1(2(2(2(2(0(1(2(1(2(0(1(2(1(2(1(0(1(0(1(0(1(1(2(2(1(0(z0))))))))))))))))))))))))))) 2(c_1(c_0(c_1(c_1(c_2(c_0(c_0(c_2(c_1(c_0(c_0(c_0(c_1(c_2(c_1(c_1(c_2(c_0(c_2(c_1(c_2(c_1(z0))))))))))))))))))))))) -> 2(0(2(2(0(0(2(2(1(1(1(2(0(1(0(1(2(2(2(2(2(0(0(0(2(2(1(z0))))))))))))))))))))))))))) 2(c_2(c_1(c_2(c_2(c_0(c_0(c_2(c_1(c_1(c_0(c_2(c_2(c_0(c_2(c_2(c_0(c_2(c_2(c_1(c_2(c_0(c_2(z0))))))))))))))))))))))) -> 1(2(1(1(1(2(2(2(1(2(1(0(2(1(1(1(1(2(2(0(0(1(1(0(2(1(2(z0))))))))))))))))))))))))))) 2(c_2(c_0(c_0(c_1(c_2(c_1(c_1(c_2(c_1(c_0(c_0(c_0(c_0(c_0(c_2(c_1(c_2(c_1(c_1(c_2(c_0(c_2(z0))))))))))))))))))))))) -> 2(1(1(2(2(2(2(1(2(1(0(0(2(1(0(2(2(0(1(1(0(2(0(0(0(0(2(z0))))))))))))))))))))))))))) 2(c_0(c_1(c_0(c_0(c_0(c_1(c_0(c_0(c_0(c_0(c_0(c_0(c_0(c_1(c_0(c_2(c_0(c_0(c_2(c_2(c_2(c_2(z0))))))))))))))))))))))) -> 2(2(2(1(1(2(1(2(0(1(1(2(1(0(2(1(0(0(1(0(1(1(2(1(2(2(2(z0))))))))))))))))))))))))))) 2(c_2(c_0(c_0(c_1(c_0(c_1(c_2(c_2(c_2(c_1(c_1(c_0(c_0(c_1(c_2(c_2(c_1(c_2(c_0(c_1(c_2(c_1(z0))))))))))))))))))))))) -> 2(2(2(2(0(2(0(2(2(1(2(1(0(1(1(2(2(0(0(2(1(2(1(2(1(2(0(z0))))))))))))))))))))))))))) 2(c_2(c_1(c_1(c_2(c_2(c_1(c_2(c_1(c_1(c_1(c_0(c_0(c_2(c_1(c_1(c_0(c_2(c_0(c_0(c_1(c_1(c_2(z0))))))))))))))))))))))) -> 2(1(1(1(2(2(2(1(1(0(2(2(1(0(1(0(2(2(1(2(0(0(0(1(2(1(2(z0))))))))))))))))))))))))))) 2(c_2(c_0(c_1(c_1(c_0(c_0(c_1(c_2(c_1(c_0(c_2(c_1(c_2(c_2(c_2(c_1(c_0(c_0(c_2(c_2(c_2(c_0(z0))))))))))))))))))))))) -> 2(2(1(0(0(0(0(2(2(1(1(2(2(1(0(2(1(2(1(2(2(1(2(2(2(0(0(z0))))))))))))))))))))))))))) 2(c_1(c_2(c_1(c_0(c_2(c_1(c_2(c_0(c_0(c_0(c_0(c_2(c_0(c_0(c_0(c_2(c_2(c_0(c_0(c_0(c_0(c_1(z0))))))))))))))))))))))) -> 2(1(2(1(2(0(0(2(1(0(0(2(2(0(1(0(2(1(2(1(2(2(1(2(1(1(2(z0))))))))))))))))))))))))))) Tuples: ENCARG(cons_2(z0)) -> c2(2'(encArg(z0)), ENCARG(z0)) 0'(c_0(c_2(c_0(c_2(c_2(c_1(c_2(c_1(c_1(c_2(c_1(c_1(c_2(c_1(c_0(c_0(c_0(c_0(c_1(c_1(c_2(c_1(z0))))))))))))))))))))))) -> c7(0'(0(1(2(2(1(1(2(2(1(1(2(2(2(2(0(1(2(1(2(1(1(1(0(1(2(2(z0))))))))))))))))))))))))))), 0'(1(2(2(1(1(2(2(1(1(2(2(2(2(0(1(2(1(2(1(1(1(0(1(2(2(z0)))))))))))))))))))))))))), 1'(2(2(1(1(2(2(1(1(2(2(2(2(0(1(2(1(2(1(1(1(0(1(2(2(z0))))))))))))))))))))))))), 2'(2(1(1(2(2(1(1(2(2(2(2(0(1(2(1(2(1(1(1(0(1(2(2(z0)))))))))))))))))))))))), 2'(1(1(2(2(1(1(2(2(2(2(0(1(2(1(2(1(1(1(0(1(2(2(z0))))))))))))))))))))))), 1'(1(2(2(1(1(2(2(2(2(0(1(2(1(2(1(1(1(0(1(2(2(z0)))))))))))))))))))))), 1'(2(2(1(1(2(2(2(2(0(1(2(1(2(1(1(1(0(1(2(2(z0))))))))))))))))))))), 2'(2(1(1(2(2(2(2(0(1(2(1(2(1(1(1(0(1(2(2(z0)))))))))))))))))))), 2'(1(1(2(2(2(2(0(1(2(1(2(1(1(1(0(1(2(2(z0))))))))))))))))))), 1'(1(2(2(2(2(0(1(2(1(2(1(1(1(0(1(2(2(z0)))))))))))))))))), 1'(2(2(2(2(0(1(2(1(2(1(1(1(0(1(2(2(z0))))))))))))))))), 2'(2(2(2(0(1(2(1(2(1(1(1(0(1(2(2(z0)))))))))))))))), 2'(2(2(0(1(2(1(2(1(1(1(0(1(2(2(z0))))))))))))))), 2'(2(0(1(2(1(2(1(1(1(0(1(2(2(z0)))))))))))))), 2'(0(1(2(1(2(1(1(1(0(1(2(2(z0))))))))))))), 0'(1(2(1(2(1(1(1(0(1(2(2(z0)))))))))))), 1'(2(1(2(1(1(1(0(1(2(2(z0))))))))))), 2'(1(2(1(1(1(0(1(2(2(z0)))))))))), 1'(2(1(1(1(0(1(2(2(z0))))))))), 2'(1(1(1(0(1(2(2(z0)))))))), 1'(1(1(0(1(2(2(z0))))))), 1'(1(0(1(2(2(z0)))))), 1'(0(1(2(2(z0))))), 0'(1(2(2(z0)))), 1'(2(2(z0))), 2'(2(z0)), 2'(z0)) 0'(c_1(c_1(c_1(c_2(c_2(c_1(c_0(c_0(c_2(c_2(c_2(c_2(c_0(c_2(c_0(c_0(c_0(c_0(c_1(c_0(c_0(c_2(z0))))))))))))))))))))))) -> c8(0'(2(1(1(1(1(2(2(1(1(0(1(1(2(1(2(1(0(0(1(2(2(1(0(0(2(2(z0))))))))))))))))))))))))))), 2'(1(1(1(1(2(2(1(1(0(1(1(2(1(2(1(0(0(1(2(2(1(0(0(2(2(z0)))))))))))))))))))))))))), 1'(1(1(1(2(2(1(1(0(1(1(2(1(2(1(0(0(1(2(2(1(0(0(2(2(z0))))))))))))))))))))))))), 1'(1(1(2(2(1(1(0(1(1(2(1(2(1(0(0(1(2(2(1(0(0(2(2(z0)))))))))))))))))))))))), 1'(1(2(2(1(1(0(1(1(2(1(2(1(0(0(1(2(2(1(0(0(2(2(z0))))))))))))))))))))))), 1'(2(2(1(1(0(1(1(2(1(2(1(0(0(1(2(2(1(0(0(2(2(z0)))))))))))))))))))))), 2'(2(1(1(0(1(1(2(1(2(1(0(0(1(2(2(1(0(0(2(2(z0))))))))))))))))))))), 2'(1(1(0(1(1(2(1(2(1(0(0(1(2(2(1(0(0(2(2(z0)))))))))))))))))))), 1'(1(0(1(1(2(1(2(1(0(0(1(2(2(1(0(0(2(2(z0))))))))))))))))))), 1'(0(1(1(2(1(2(1(0(0(1(2(2(1(0(0(2(2(z0)))))))))))))))))), 0'(1(1(2(1(2(1(0(0(1(2(2(1(0(0(2(2(z0))))))))))))))))), 1'(1(2(1(2(1(0(0(1(2(2(1(0(0(2(2(z0)))))))))))))))), 1'(2(1(2(1(0(0(1(2(2(1(0(0(2(2(z0))))))))))))))), 2'(1(2(1(0(0(1(2(2(1(0(0(2(2(z0)))))))))))))), 1'(2(1(0(0(1(2(2(1(0(0(2(2(z0))))))))))))), 2'(1(0(0(1(2(2(1(0(0(2(2(z0)))))))))))), 1'(0(0(1(2(2(1(0(0(2(2(z0))))))))))), 0'(0(1(2(2(1(0(0(2(2(z0)))))))))), 0'(1(2(2(1(0(0(2(2(z0))))))))), 1'(2(2(1(0(0(2(2(z0)))))))), 2'(2(1(0(0(2(2(z0))))))), 2'(1(0(0(2(2(z0)))))), 1'(0(0(2(2(z0))))), 0'(0(2(2(z0)))), 0'(2(2(z0))), 2'(2(z0)), 2'(z0)) 0'(c_1(c_1(c_0(c_1(c_1(c_1(c_2(c_2(c_0(c_2(c_0(c_1(c_2(c_2(c_2(c_0(c_1(c_2(c_0(c_1(c_0(c_2(z0))))))))))))))))))))))) -> c9(0'(2(0(1(0(2(0(2(2(2(1(2(1(1(2(2(2(2(2(2(2(1(0(0(0(2(2(z0))))))))))))))))))))))))))), 2'(0(1(0(2(0(2(2(2(1(2(1(1(2(2(2(2(2(2(2(1(0(0(0(2(2(z0)))))))))))))))))))))))))), 0'(1(0(2(0(2(2(2(1(2(1(1(2(2(2(2(2(2(2(1(0(0(0(2(2(z0))))))))))))))))))))))))), 1'(0(2(0(2(2(2(1(2(1(1(2(2(2(2(2(2(2(1(0(0(0(2(2(z0)))))))))))))))))))))))), 0'(2(0(2(2(2(1(2(1(1(2(2(2(2(2(2(2(1(0(0(0(2(2(z0))))))))))))))))))))))), 2'(0(2(2(2(1(2(1(1(2(2(2(2(2(2(2(1(0(0(0(2(2(z0)))))))))))))))))))))), 0'(2(2(2(1(2(1(1(2(2(2(2(2(2(2(1(0(0(0(2(2(z0))))))))))))))))))))), 2'(2(2(1(2(1(1(2(2(2(2(2(2(2(1(0(0(0(2(2(z0)))))))))))))))))))), 2'(2(1(2(1(1(2(2(2(2(2(2(2(1(0(0(0(2(2(z0))))))))))))))))))), 2'(1(2(1(1(2(2(2(2(2(2(2(1(0(0(0(2(2(z0)))))))))))))))))), 1'(2(1(1(2(2(2(2(2(2(2(1(0(0(0(2(2(z0))))))))))))))))), 2'(1(1(2(2(2(2(2(2(2(1(0(0(0(2(2(z0)))))))))))))))), 1'(1(2(2(2(2(2(2(2(1(0(0(0(2(2(z0))))))))))))))), 1'(2(2(2(2(2(2(2(1(0(0(0(2(2(z0)))))))))))))), 2'(2(2(2(2(2(2(1(0(0(0(2(2(z0))))))))))))), 2'(2(2(2(2(2(1(0(0(0(2(2(z0)))))))))))), 2'(2(2(2(2(1(0(0(0(2(2(z0))))))))))), 2'(2(2(2(1(0(0(0(2(2(z0)))))))))), 2'(2(2(1(0(0(0(2(2(z0))))))))), 2'(2(1(0(0(0(2(2(z0)))))))), 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c43(2'(1(1(2(2(2(2(1(2(1(0(0(2(1(0(2(2(0(1(1(0(2(0(0(0(0(2(z0))))))))))))))))))))))))))), 1'(1(2(2(2(2(1(2(1(0(0(2(1(0(2(2(0(1(1(0(2(0(0(0(0(2(z0)))))))))))))))))))))))))), 1'(2(2(2(2(1(2(1(0(0(2(1(0(2(2(0(1(1(0(2(0(0(0(0(2(z0))))))))))))))))))))))))), 2'(2(2(2(1(2(1(0(0(2(1(0(2(2(0(1(1(0(2(0(0(0(0(2(z0)))))))))))))))))))))))), 2'(2(2(1(2(1(0(0(2(1(0(2(2(0(1(1(0(2(0(0(0(0(2(z0))))))))))))))))))))))), 2'(2(1(2(1(0(0(2(1(0(2(2(0(1(1(0(2(0(0(0(0(2(z0)))))))))))))))))))))), 2'(1(2(1(0(0(2(1(0(2(2(0(1(1(0(2(0(0(0(0(2(z0))))))))))))))))))))), 1'(2(1(0(0(2(1(0(2(2(0(1(1(0(2(0(0(0(0(2(z0)))))))))))))))))))), 2'(1(0(0(2(1(0(2(2(0(1(1(0(2(0(0(0(0(2(z0))))))))))))))))))), 1'(0(0(2(1(0(2(2(0(1(1(0(2(0(0(0(0(2(z0)))))))))))))))))), 0'(0(2(1(0(2(2(0(1(1(0(2(0(0(0(0(2(z0))))))))))))))))), 0'(2(1(0(2(2(0(1(1(0(2(0(0(0(0(2(z0)))))))))))))))), 2'(1(0(2(2(0(1(1(0(2(0(0(0(0(2(z0))))))))))))))), 1'(0(2(2(0(1(1(0(2(0(0(0(0(2(z0)))))))))))))), 0'(2(2(0(1(1(0(2(0(0(0(0(2(z0))))))))))))), 2'(2(0(1(1(0(2(0(0(0(0(2(z0)))))))))))), 2'(0(1(1(0(2(0(0(0(0(2(z0))))))))))), 0'(1(1(0(2(0(0(0(0(2(z0)))))))))), 1'(1(0(2(0(0(0(0(2(z0))))))))), 1'(0(2(0(0(0(0(2(z0)))))))), 0'(2(0(0(0(0(2(z0))))))), 2'(0(0(0(0(2(z0)))))), 0'(0(0(0(2(z0))))), 0'(0(0(2(z0)))), 0'(0(2(z0))), 0'(2(z0)), 2'(z0)) 2'(c_0(c_1(c_0(c_0(c_0(c_1(c_0(c_0(c_0(c_0(c_0(c_0(c_0(c_1(c_0(c_2(c_0(c_0(c_2(c_2(c_2(c_2(z0))))))))))))))))))))))) -> c44(2'(2(2(1(1(2(1(2(0(1(1(2(1(0(2(1(0(0(1(0(1(1(2(1(2(2(2(z0))))))))))))))))))))))))))), 2'(2(1(1(2(1(2(0(1(1(2(1(0(2(1(0(0(1(0(1(1(2(1(2(2(2(z0)))))))))))))))))))))))))), 2'(1(1(2(1(2(0(1(1(2(1(0(2(1(0(0(1(0(1(1(2(1(2(2(2(z0))))))))))))))))))))))))), 1'(1(2(1(2(0(1(1(2(1(0(2(1(0(0(1(0(1(1(2(1(2(2(2(z0)))))))))))))))))))))))), 1'(2(1(2(0(1(1(2(1(0(2(1(0(0(1(0(1(1(2(1(2(2(2(z0))))))))))))))))))))))), 2'(1(2(0(1(1(2(1(0(2(1(0(0(1(0(1(1(2(1(2(2(2(z0)))))))))))))))))))))), 1'(2(0(1(1(2(1(0(2(1(0(0(1(0(1(1(2(1(2(2(2(z0))))))))))))))))))))), 2'(0(1(1(2(1(0(2(1(0(0(1(0(1(1(2(1(2(2(2(z0)))))))))))))))))))), 0'(1(1(2(1(0(2(1(0(0(1(0(1(1(2(1(2(2(2(z0))))))))))))))))))), 1'(1(2(1(0(2(1(0(0(1(0(1(1(2(1(2(2(2(z0)))))))))))))))))), 1'(2(1(0(2(1(0(0(1(0(1(1(2(1(2(2(2(z0))))))))))))))))), 2'(1(0(2(1(0(0(1(0(1(1(2(1(2(2(2(z0)))))))))))))))), 1'(0(2(1(0(0(1(0(1(1(2(1(2(2(2(z0))))))))))))))), 0'(2(1(0(0(1(0(1(1(2(1(2(2(2(z0)))))))))))))), 2'(1(0(0(1(0(1(1(2(1(2(2(2(z0))))))))))))), 1'(0(0(1(0(1(1(2(1(2(2(2(z0)))))))))))), 0'(0(1(0(1(1(2(1(2(2(2(z0))))))))))), 0'(1(0(1(1(2(1(2(2(2(z0)))))))))), 1'(0(1(1(2(1(2(2(2(z0))))))))), 0'(1(1(2(1(2(2(2(z0)))))))), 1'(1(2(1(2(2(2(z0))))))), 1'(2(1(2(2(2(z0)))))), 2'(1(2(2(2(z0))))), 1'(2(2(2(z0)))), 2'(2(2(z0))), 2'(2(z0)), 2'(z0)) 2'(c_2(c_0(c_0(c_1(c_0(c_1(c_2(c_2(c_2(c_1(c_1(c_0(c_0(c_1(c_2(c_2(c_1(c_2(c_0(c_1(c_2(c_1(z0))))))))))))))))))))))) -> c45(2'(2(2(2(0(2(0(2(2(1(2(1(0(1(1(2(2(0(0(2(1(2(1(2(1(2(0(z0))))))))))))))))))))))))))), 2'(2(2(0(2(0(2(2(1(2(1(0(1(1(2(2(0(0(2(1(2(1(2(1(2(0(z0)))))))))))))))))))))))))), 2'(2(0(2(0(2(2(1(2(1(0(1(1(2(2(0(0(2(1(2(1(2(1(2(0(z0))))))))))))))))))))))))), 2'(0(2(0(2(2(1(2(1(0(1(1(2(2(0(0(2(1(2(1(2(1(2(0(z0)))))))))))))))))))))))), 0'(2(0(2(2(1(2(1(0(1(1(2(2(0(0(2(1(2(1(2(1(2(0(z0))))))))))))))))))))))), 2'(0(2(2(1(2(1(0(1(1(2(2(0(0(2(1(2(1(2(1(2(0(z0)))))))))))))))))))))), 0'(2(2(1(2(1(0(1(1(2(2(0(0(2(1(2(1(2(1(2(0(z0))))))))))))))))))))), 2'(2(1(2(1(0(1(1(2(2(0(0(2(1(2(1(2(1(2(0(z0)))))))))))))))))))), 2'(1(2(1(0(1(1(2(2(0(0(2(1(2(1(2(1(2(0(z0))))))))))))))))))), 1'(2(1(0(1(1(2(2(0(0(2(1(2(1(2(1(2(0(z0)))))))))))))))))), 2'(1(0(1(1(2(2(0(0(2(1(2(1(2(1(2(0(z0))))))))))))))))), 1'(0(1(1(2(2(0(0(2(1(2(1(2(1(2(0(z0)))))))))))))))), 0'(1(1(2(2(0(0(2(1(2(1(2(1(2(0(z0))))))))))))))), 1'(1(2(2(0(0(2(1(2(1(2(1(2(0(z0)))))))))))))), 1'(2(2(0(0(2(1(2(1(2(1(2(0(z0))))))))))))), 2'(2(0(0(2(1(2(1(2(1(2(0(z0)))))))))))), 2'(0(0(2(1(2(1(2(1(2(0(z0))))))))))), 0'(0(2(1(2(1(2(1(2(0(z0)))))))))), 0'(2(1(2(1(2(1(2(0(z0))))))))), 2'(1(2(1(2(1(2(0(z0)))))))), 1'(2(1(2(1(2(0(z0))))))), 2'(1(2(1(2(0(z0)))))), 1'(2(1(2(0(z0))))), 2'(1(2(0(z0)))), 1'(2(0(z0))), 2'(0(z0)), 0'(z0)) 2'(c_2(c_1(c_1(c_2(c_2(c_1(c_2(c_1(c_1(c_1(c_0(c_0(c_2(c_1(c_1(c_0(c_2(c_0(c_0(c_1(c_1(c_2(z0))))))))))))))))))))))) -> c46(2'(1(1(1(2(2(2(1(1(0(2(2(1(0(1(0(2(2(1(2(0(0(0(1(2(1(2(z0))))))))))))))))))))))))))), 1'(1(1(2(2(2(1(1(0(2(2(1(0(1(0(2(2(1(2(0(0(0(1(2(1(2(z0)))))))))))))))))))))))))), 1'(1(2(2(2(1(1(0(2(2(1(0(1(0(2(2(1(2(0(0(0(1(2(1(2(z0))))))))))))))))))))))))), 1'(2(2(2(1(1(0(2(2(1(0(1(0(2(2(1(2(0(0(0(1(2(1(2(z0)))))))))))))))))))))))), 2'(2(2(1(1(0(2(2(1(0(1(0(2(2(1(2(0(0(0(1(2(1(2(z0))))))))))))))))))))))), 2'(2(1(1(0(2(2(1(0(1(0(2(2(1(2(0(0(0(1(2(1(2(z0)))))))))))))))))))))), 2'(1(1(0(2(2(1(0(1(0(2(2(1(2(0(0(0(1(2(1(2(z0))))))))))))))))))))), 1'(1(0(2(2(1(0(1(0(2(2(1(2(0(0(0(1(2(1(2(z0)))))))))))))))))))), 1'(0(2(2(1(0(1(0(2(2(1(2(0(0(0(1(2(1(2(z0))))))))))))))))))), 0'(2(2(1(0(1(0(2(2(1(2(0(0(0(1(2(1(2(z0)))))))))))))))))), 2'(2(1(0(1(0(2(2(1(2(0(0(0(1(2(1(2(z0))))))))))))))))), 2'(1(0(1(0(2(2(1(2(0(0(0(1(2(1(2(z0)))))))))))))))), 1'(0(1(0(2(2(1(2(0(0(0(1(2(1(2(z0))))))))))))))), 0'(1(0(2(2(1(2(0(0(0(1(2(1(2(z0)))))))))))))), 1'(0(2(2(1(2(0(0(0(1(2(1(2(z0))))))))))))), 0'(2(2(1(2(0(0(0(1(2(1(2(z0)))))))))))), 2'(2(1(2(0(0(0(1(2(1(2(z0))))))))))), 2'(1(2(0(0(0(1(2(1(2(z0)))))))))), 1'(2(0(0(0(1(2(1(2(z0))))))))), 2'(0(0(0(1(2(1(2(z0)))))))), 0'(0(0(1(2(1(2(z0))))))), 0'(0(1(2(1(2(z0)))))), 0'(1(2(1(2(z0))))), 1'(2(1(2(z0)))), 2'(1(2(z0))), 1'(2(z0)), 2'(z0)) 2'(c_2(c_0(c_1(c_1(c_0(c_0(c_1(c_2(c_1(c_0(c_2(c_1(c_2(c_2(c_2(c_1(c_0(c_0(c_2(c_2(c_2(c_0(z0))))))))))))))))))))))) -> c47(2'(2(1(0(0(0(0(2(2(1(1(2(2(1(0(2(1(2(1(2(2(1(2(2(2(0(0(z0))))))))))))))))))))))))))), 2'(1(0(0(0(0(2(2(1(1(2(2(1(0(2(1(2(1(2(2(1(2(2(2(0(0(z0)))))))))))))))))))))))))), 1'(0(0(0(0(2(2(1(1(2(2(1(0(2(1(2(1(2(2(1(2(2(2(0(0(z0))))))))))))))))))))))))), 0'(0(0(0(2(2(1(1(2(2(1(0(2(1(2(1(2(2(1(2(2(2(0(0(z0)))))))))))))))))))))))), 0'(0(0(2(2(1(1(2(2(1(0(2(1(2(1(2(2(1(2(2(2(0(0(z0))))))))))))))))))))))), 0'(0(2(2(1(1(2(2(1(0(2(1(2(1(2(2(1(2(2(2(0(0(z0)))))))))))))))))))))), 0'(2(2(1(1(2(2(1(0(2(1(2(1(2(2(1(2(2(2(0(0(z0))))))))))))))))))))), 2'(2(1(1(2(2(1(0(2(1(2(1(2(2(1(2(2(2(0(0(z0)))))))))))))))))))), 2'(1(1(2(2(1(0(2(1(2(1(2(2(1(2(2(2(0(0(z0))))))))))))))))))), 1'(1(2(2(1(0(2(1(2(1(2(2(1(2(2(2(0(0(z0)))))))))))))))))), 1'(2(2(1(0(2(1(2(1(2(2(1(2(2(2(0(0(z0))))))))))))))))), 2'(2(1(0(2(1(2(1(2(2(1(2(2(2(0(0(z0)))))))))))))))), 2'(1(0(2(1(2(1(2(2(1(2(2(2(0(0(z0))))))))))))))), 1'(0(2(1(2(1(2(2(1(2(2(2(0(0(z0)))))))))))))), 0'(2(1(2(1(2(2(1(2(2(2(0(0(z0))))))))))))), 2'(1(2(1(2(2(1(2(2(2(0(0(z0)))))))))))), 1'(2(1(2(2(1(2(2(2(0(0(z0))))))))))), 2'(1(2(2(1(2(2(2(0(0(z0)))))))))), 1'(2(2(1(2(2(2(0(0(z0))))))))), 2'(2(1(2(2(2(0(0(z0)))))))), 2'(1(2(2(2(0(0(z0))))))), 1'(2(2(2(0(0(z0)))))), 2'(2(2(0(0(z0))))), 2'(2(0(0(z0)))), 2'(0(0(z0))), 0'(0(z0)), 0'(z0)) 2'(c_1(c_2(c_1(c_0(c_2(c_1(c_2(c_0(c_0(c_0(c_0(c_2(c_0(c_0(c_0(c_2(c_2(c_0(c_0(c_0(c_0(c_1(z0))))))))))))))))))))))) -> c48(2'(1(2(1(2(0(0(2(1(0(0(2(2(0(1(0(2(1(2(1(2(2(1(2(1(1(2(z0))))))))))))))))))))))))))), 1'(2(1(2(0(0(2(1(0(0(2(2(0(1(0(2(1(2(1(2(2(1(2(1(1(2(z0)))))))))))))))))))))))))), 2'(1(2(0(0(2(1(0(0(2(2(0(1(0(2(1(2(1(2(2(1(2(1(1(2(z0))))))))))))))))))))))))), 1'(2(0(0(2(1(0(0(2(2(0(1(0(2(1(2(1(2(2(1(2(1(1(2(z0)))))))))))))))))))))))), 2'(0(0(2(1(0(0(2(2(0(1(0(2(1(2(1(2(2(1(2(1(1(2(z0))))))))))))))))))))))), 0'(0(2(1(0(0(2(2(0(1(0(2(1(2(1(2(2(1(2(1(1(2(z0)))))))))))))))))))))), 0'(2(1(0(0(2(2(0(1(0(2(1(2(1(2(2(1(2(1(1(2(z0))))))))))))))))))))), 2'(1(0(0(2(2(0(1(0(2(1(2(1(2(2(1(2(1(1(2(z0)))))))))))))))))))), 1'(0(0(2(2(0(1(0(2(1(2(1(2(2(1(2(1(1(2(z0))))))))))))))))))), 0'(0(2(2(0(1(0(2(1(2(1(2(2(1(2(1(1(2(z0)))))))))))))))))), 0'(2(2(0(1(0(2(1(2(1(2(2(1(2(1(1(2(z0))))))))))))))))), 2'(2(0(1(0(2(1(2(1(2(2(1(2(1(1(2(z0)))))))))))))))), 2'(0(1(0(2(1(2(1(2(2(1(2(1(1(2(z0))))))))))))))), 0'(1(0(2(1(2(1(2(2(1(2(1(1(2(z0)))))))))))))), 1'(0(2(1(2(1(2(2(1(2(1(1(2(z0))))))))))))), 0'(2(1(2(1(2(2(1(2(1(1(2(z0)))))))))))), 2'(1(2(1(2(2(1(2(1(1(2(z0))))))))))), 1'(2(1(2(2(1(2(1(1(2(z0)))))))))), 2'(1(2(2(1(2(1(1(2(z0))))))))), 1'(2(2(1(2(1(1(2(z0)))))))), 2'(2(1(2(1(1(2(z0))))))), 2'(1(2(1(1(2(z0)))))), 1'(2(1(1(2(z0))))), 2'(1(1(2(z0)))), 1'(1(2(z0))), 1'(2(z0)), 2'(z0)) ENCODE_0(z0) -> c6(0'(encArg(z0))) ENCODE_1(z0) -> c6(1'(encArg(z0))) ENCODE_2(z0) -> c6(2'(encArg(z0))) ENCARG(cons_0(cons_0(z0))) -> c(0'(0(encArg(z0))), ENCARG(cons_0(z0))) ENCARG(cons_0(cons_1(z0))) -> c(0'(1(encArg(z0))), ENCARG(cons_1(z0))) ENCARG(cons_0(cons_2(z0))) -> c(0'(2(encArg(z0))), ENCARG(cons_2(z0))) ENCARG(cons_1(cons_0(z0))) -> c1(1'(0(encArg(z0))), ENCARG(cons_0(z0))) ENCARG(cons_1(cons_1(z0))) -> c1(1'(1(encArg(z0))), ENCARG(cons_1(z0))) ENCARG(cons_1(cons_2(z0))) -> c1(1'(2(encArg(z0))), ENCARG(cons_2(z0))) S tuples: 0'(c_0(c_2(c_0(c_2(c_2(c_1(c_2(c_1(c_1(c_2(c_1(c_1(c_2(c_1(c_0(c_0(c_0(c_0(c_1(c_1(c_2(c_1(z0))))))))))))))))))))))) -> c7(0'(0(1(2(2(1(1(2(2(1(1(2(2(2(2(0(1(2(1(2(1(1(1(0(1(2(2(z0))))))))))))))))))))))))))), 0'(1(2(2(1(1(2(2(1(1(2(2(2(2(0(1(2(1(2(1(1(1(0(1(2(2(z0)))))))))))))))))))))))))), 1'(2(2(1(1(2(2(1(1(2(2(2(2(0(1(2(1(2(1(1(1(0(1(2(2(z0))))))))))))))))))))))))), 2'(2(1(1(2(2(1(1(2(2(2(2(0(1(2(1(2(1(1(1(0(1(2(2(z0)))))))))))))))))))))))), 2'(1(1(2(2(1(1(2(2(2(2(0(1(2(1(2(1(1(1(0(1(2(2(z0))))))))))))))))))))))), 1'(1(2(2(1(1(2(2(2(2(0(1(2(1(2(1(1(1(0(1(2(2(z0)))))))))))))))))))))), 1'(2(2(1(1(2(2(2(2(0(1(2(1(2(1(1(1(0(1(2(2(z0))))))))))))))))))))), 2'(2(1(1(2(2(2(2(0(1(2(1(2(1(1(1(0(1(2(2(z0)))))))))))))))))))), 2'(1(1(2(2(2(2(0(1(2(1(2(1(1(1(0(1(2(2(z0))))))))))))))))))), 1'(1(2(2(2(2(0(1(2(1(2(1(1(1(0(1(2(2(z0)))))))))))))))))), 1'(2(2(2(2(0(1(2(1(2(1(1(1(0(1(2(2(z0))))))))))))))))), 2'(2(2(2(0(1(2(1(2(1(1(1(0(1(2(2(z0)))))))))))))))), 2'(2(2(0(1(2(1(2(1(1(1(0(1(2(2(z0))))))))))))))), 2'(2(0(1(2(1(2(1(1(1(0(1(2(2(z0)))))))))))))), 2'(0(1(2(1(2(1(1(1(0(1(2(2(z0))))))))))))), 0'(1(2(1(2(1(1(1(0(1(2(2(z0)))))))))))), 1'(2(1(2(1(1(1(0(1(2(2(z0))))))))))), 2'(1(2(1(1(1(0(1(2(2(z0)))))))))), 1'(2(1(1(1(0(1(2(2(z0))))))))), 2'(1(1(1(0(1(2(2(z0)))))))), 1'(1(1(0(1(2(2(z0))))))), 1'(1(0(1(2(2(z0)))))), 1'(0(1(2(2(z0))))), 0'(1(2(2(z0)))), 1'(2(2(z0))), 2'(2(z0)), 2'(z0)) 0'(c_1(c_1(c_1(c_2(c_2(c_1(c_0(c_0(c_2(c_2(c_2(c_2(c_0(c_2(c_0(c_0(c_0(c_0(c_1(c_0(c_0(c_2(z0))))))))))))))))))))))) -> c8(0'(2(1(1(1(1(2(2(1(1(0(1(1(2(1(2(1(0(0(1(2(2(1(0(0(2(2(z0))))))))))))))))))))))))))), 2'(1(1(1(1(2(2(1(1(0(1(1(2(1(2(1(0(0(1(2(2(1(0(0(2(2(z0)))))))))))))))))))))))))), 1'(1(1(1(2(2(1(1(0(1(1(2(1(2(1(0(0(1(2(2(1(0(0(2(2(z0))))))))))))))))))))))))), 1'(1(1(2(2(1(1(0(1(1(2(1(2(1(0(0(1(2(2(1(0(0(2(2(z0)))))))))))))))))))))))), 1'(1(2(2(1(1(0(1(1(2(1(2(1(0(0(1(2(2(1(0(0(2(2(z0))))))))))))))))))))))), 1'(2(2(1(1(0(1(1(2(1(2(1(0(0(1(2(2(1(0(0(2(2(z0)))))))))))))))))))))), 2'(2(1(1(0(1(1(2(1(2(1(0(0(1(2(2(1(0(0(2(2(z0))))))))))))))))))))), 2'(1(1(0(1(1(2(1(2(1(0(0(1(2(2(1(0(0(2(2(z0)))))))))))))))))))), 1'(1(0(1(1(2(1(2(1(0(0(1(2(2(1(0(0(2(2(z0))))))))))))))))))), 1'(0(1(1(2(1(2(1(0(0(1(2(2(1(0(0(2(2(z0)))))))))))))))))), 0'(1(1(2(1(2(1(0(0(1(2(2(1(0(0(2(2(z0))))))))))))))))), 1'(1(2(1(2(1(0(0(1(2(2(1(0(0(2(2(z0)))))))))))))))), 1'(2(1(2(1(0(0(1(2(2(1(0(0(2(2(z0))))))))))))))), 2'(1(2(1(0(0(1(2(2(1(0(0(2(2(z0)))))))))))))), 1'(2(1(0(0(1(2(2(1(0(0(2(2(z0))))))))))))), 2'(1(0(0(1(2(2(1(0(0(2(2(z0)))))))))))), 1'(0(0(1(2(2(1(0(0(2(2(z0))))))))))), 0'(0(1(2(2(1(0(0(2(2(z0)))))))))), 0'(1(2(2(1(0(0(2(2(z0))))))))), 1'(2(2(1(0(0(2(2(z0)))))))), 2'(2(1(0(0(2(2(z0))))))), 2'(1(0(0(2(2(z0)))))), 1'(0(0(2(2(z0))))), 0'(0(2(2(z0)))), 0'(2(2(z0))), 2'(2(z0)), 2'(z0)) 0'(c_1(c_1(c_0(c_1(c_1(c_1(c_2(c_2(c_0(c_2(c_0(c_1(c_2(c_2(c_2(c_0(c_1(c_2(c_0(c_1(c_0(c_2(z0))))))))))))))))))))))) -> c9(0'(2(0(1(0(2(0(2(2(2(1(2(1(1(2(2(2(2(2(2(2(1(0(0(0(2(2(z0))))))))))))))))))))))))))), 2'(0(1(0(2(0(2(2(2(1(2(1(1(2(2(2(2(2(2(2(1(0(0(0(2(2(z0)))))))))))))))))))))))))), 0'(1(0(2(0(2(2(2(1(2(1(1(2(2(2(2(2(2(2(1(0(0(0(2(2(z0))))))))))))))))))))))))), 1'(0(2(0(2(2(2(1(2(1(1(2(2(2(2(2(2(2(1(0(0(0(2(2(z0)))))))))))))))))))))))), 0'(2(0(2(2(2(1(2(1(1(2(2(2(2(2(2(2(1(0(0(0(2(2(z0))))))))))))))))))))))), 2'(0(2(2(2(1(2(1(1(2(2(2(2(2(2(2(1(0(0(0(2(2(z0)))))))))))))))))))))), 0'(2(2(2(1(2(1(1(2(2(2(2(2(2(2(1(0(0(0(2(2(z0))))))))))))))))))))), 2'(2(2(1(2(1(1(2(2(2(2(2(2(2(1(0(0(0(2(2(z0)))))))))))))))))))), 2'(2(1(2(1(1(2(2(2(2(2(2(2(1(0(0(0(2(2(z0))))))))))))))))))), 2'(1(2(1(1(2(2(2(2(2(2(2(1(0(0(0(2(2(z0)))))))))))))))))), 1'(2(1(1(2(2(2(2(2(2(2(1(0(0(0(2(2(z0))))))))))))))))), 2'(1(1(2(2(2(2(2(2(2(1(0(0(0(2(2(z0)))))))))))))))), 1'(1(2(2(2(2(2(2(2(1(0(0(0(2(2(z0))))))))))))))), 1'(2(2(2(2(2(2(2(1(0(0(0(2(2(z0)))))))))))))), 2'(2(2(2(2(2(2(1(0(0(0(2(2(z0))))))))))))), 2'(2(2(2(2(2(1(0(0(0(2(2(z0)))))))))))), 2'(2(2(2(2(1(0(0(0(2(2(z0))))))))))), 2'(2(2(2(1(0(0(0(2(2(z0)))))))))), 2'(2(2(1(0(0(0(2(2(z0))))))))), 2'(2(1(0(0(0(2(2(z0)))))))), 2'(1(0(0(0(2(2(z0))))))), 1'(0(0(0(2(2(z0)))))), 0'(0(0(2(2(z0))))), 0'(0(2(2(z0)))), 0'(2(2(z0))), 2'(2(z0)), 2'(z0)) 0'(c_1(c_0(c_0(c_1(c_2(c_2(c_1(c_0(c_1(c_2(c_1(c_2(c_0(c_1(c_0(c_2(c_2(c_0(c_1(c_2(c_1(c_0(z0))))))))))))))))))))))) -> c10(0'(0(0(1(2(2(2(2(2(2(2(0(0(0(0(1(2(1(2(2(2(1(0(2(0(2(0(z0))))))))))))))))))))))))))), 0'(0(1(2(2(2(2(2(2(2(0(0(0(0(1(2(1(2(2(2(1(0(2(0(2(0(z0)))))))))))))))))))))))))), 0'(1(2(2(2(2(2(2(2(0(0(0(0(1(2(1(2(2(2(1(0(2(0(2(0(z0))))))))))))))))))))))))), 1'(2(2(2(2(2(2(2(0(0(0(0(1(2(1(2(2(2(1(0(2(0(2(0(z0)))))))))))))))))))))))), 2'(2(2(2(2(2(2(0(0(0(0(1(2(1(2(2(2(1(0(2(0(2(0(z0))))))))))))))))))))))), 2'(2(2(2(2(2(0(0(0(0(1(2(1(2(2(2(1(0(2(0(2(0(z0)))))))))))))))))))))), 2'(2(2(2(2(0(0(0(0(1(2(1(2(2(2(1(0(2(0(2(0(z0))))))))))))))))))))), 2'(2(2(2(0(0(0(0(1(2(1(2(2(2(1(0(2(0(2(0(z0)))))))))))))))))))), 2'(2(2(0(0(0(0(1(2(1(2(2(2(1(0(2(0(2(0(z0))))))))))))))))))), 2'(2(0(0(0(0(1(2(1(2(2(2(1(0(2(0(2(0(z0)))))))))))))))))), 2'(0(0(0(0(1(2(1(2(2(2(1(0(2(0(2(0(z0))))))))))))))))), 0'(0(0(0(1(2(1(2(2(2(1(0(2(0(2(0(z0)))))))))))))))), 0'(0(0(1(2(1(2(2(2(1(0(2(0(2(0(z0))))))))))))))), 0'(0(1(2(1(2(2(2(1(0(2(0(2(0(z0)))))))))))))), 0'(1(2(1(2(2(2(1(0(2(0(2(0(z0))))))))))))), 1'(2(1(2(2(2(1(0(2(0(2(0(z0)))))))))))), 2'(1(2(2(2(1(0(2(0(2(0(z0))))))))))), 1'(2(2(2(1(0(2(0(2(0(z0)))))))))), 2'(2(2(1(0(2(0(2(0(z0))))))))), 2'(2(1(0(2(0(2(0(z0)))))))), 2'(1(0(2(0(2(0(z0))))))), 1'(0(2(0(2(0(z0)))))), 0'(2(0(2(0(z0))))), 2'(0(2(0(z0)))), 0'(2(0(z0))), 2'(0(z0)), 0'(z0)) 0'(c_0(c_1(c_2(c_0(c_1(c_0(c_0(c_2(c_0(c_1(c_1(c_0(c_1(c_2(c_1(c_1(c_2(c_2(c_1(c_1(c_0(c_2(z0))))))))))))))))))))))) -> c11(0'(2(2(2(0(1(1(2(1(2(2(1(2(1(0(2(2(2(1(2(1(1(0(0(1(0(2(z0))))))))))))))))))))))))))), 2'(2(2(0(1(1(2(1(2(2(1(2(1(0(2(2(2(1(2(1(1(0(0(1(0(2(z0)))))))))))))))))))))))))), 2'(2(0(1(1(2(1(2(2(1(2(1(0(2(2(2(1(2(1(1(0(0(1(0(2(z0))))))))))))))))))))))))), 2'(0(1(1(2(1(2(2(1(2(1(0(2(2(2(1(2(1(1(0(0(1(0(2(z0)))))))))))))))))))))))), 0'(1(1(2(1(2(2(1(2(1(0(2(2(2(1(2(1(1(0(0(1(0(2(z0))))))))))))))))))))))), 1'(1(2(1(2(2(1(2(1(0(2(2(2(1(2(1(1(0(0(1(0(2(z0)))))))))))))))))))))), 1'(2(1(2(2(1(2(1(0(2(2(2(1(2(1(1(0(0(1(0(2(z0))))))))))))))))))))), 2'(1(2(2(1(2(1(0(2(2(2(1(2(1(1(0(0(1(0(2(z0)))))))))))))))))))), 1'(2(2(1(2(1(0(2(2(2(1(2(1(1(0(0(1(0(2(z0))))))))))))))))))), 2'(2(1(2(1(0(2(2(2(1(2(1(1(0(0(1(0(2(z0)))))))))))))))))), 2'(1(2(1(0(2(2(2(1(2(1(1(0(0(1(0(2(z0))))))))))))))))), 1'(2(1(0(2(2(2(1(2(1(1(0(0(1(0(2(z0)))))))))))))))), 2'(1(0(2(2(2(1(2(1(1(0(0(1(0(2(z0))))))))))))))), 1'(0(2(2(2(1(2(1(1(0(0(1(0(2(z0)))))))))))))), 0'(2(2(2(1(2(1(1(0(0(1(0(2(z0))))))))))))), 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1'(2(2(0(1(1(1(2(2(1(1(0(0(0(0(2(2(1(2(2(z0)))))))))))))))))))), 2'(2(0(1(1(1(2(2(1(1(0(0(0(0(2(2(1(2(2(z0))))))))))))))))))), 2'(0(1(1(1(2(2(1(1(0(0(0(0(2(2(1(2(2(z0)))))))))))))))))), 0'(1(1(1(2(2(1(1(0(0(0(0(2(2(1(2(2(z0))))))))))))))))), 1'(1(1(2(2(1(1(0(0(0(0(2(2(1(2(2(z0)))))))))))))))), 1'(1(2(2(1(1(0(0(0(0(2(2(1(2(2(z0))))))))))))))), 1'(2(2(1(1(0(0(0(0(2(2(1(2(2(z0)))))))))))))), 2'(2(1(1(0(0(0(0(2(2(1(2(2(z0))))))))))))), 2'(1(1(0(0(0(0(2(2(1(2(2(z0)))))))))))), 1'(1(0(0(0(0(2(2(1(2(2(z0))))))))))), 1'(0(0(0(0(2(2(1(2(2(z0)))))))))), 0'(0(0(0(2(2(1(2(2(z0))))))))), 0'(0(0(2(2(1(2(2(z0)))))))), 0'(0(2(2(1(2(2(z0))))))), 0'(2(2(1(2(2(z0)))))), 2'(2(1(2(2(z0))))), 2'(1(2(2(z0)))), 1'(2(2(z0))), 2'(2(z0)), 2'(z0)) 0'(c_1(c_2(c_1(c_1(c_2(c_2(c_2(c_1(c_1(c_0(c_0(c_1(c_0(c_2(c_0(c_2(c_2(c_1(c_0(c_2(c_1(c_1(z0))))))))))))))))))))))) -> c13(2'(1(2(1(2(1(2(2(0(2(0(1(2(1(2(1(2(0(1(2(0(0(2(2(1(1(2(z0))))))))))))))))))))))))))), 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c21(2'(2(2(1(1(2(2(2(1(2(2(0(0(2(0(0(1(2(0(2(2(1(2(2(2(0(2(z0))))))))))))))))))))))))))), 2'(2(1(1(2(2(2(1(2(2(0(0(2(0(0(1(2(0(2(2(1(2(2(2(0(2(z0)))))))))))))))))))))))))), 2'(1(1(2(2(2(1(2(2(0(0(2(0(0(1(2(0(2(2(1(2(2(2(0(2(z0))))))))))))))))))))))))), 1'(1(2(2(2(1(2(2(0(0(2(0(0(1(2(0(2(2(1(2(2(2(0(2(z0)))))))))))))))))))))))), 1'(2(2(2(1(2(2(0(0(2(0(0(1(2(0(2(2(1(2(2(2(0(2(z0))))))))))))))))))))))), 2'(2(2(1(2(2(0(0(2(0(0(1(2(0(2(2(1(2(2(2(0(2(z0)))))))))))))))))))))), 2'(2(1(2(2(0(0(2(0(0(1(2(0(2(2(1(2(2(2(0(2(z0))))))))))))))))))))), 2'(1(2(2(0(0(2(0(0(1(2(0(2(2(1(2(2(2(0(2(z0)))))))))))))))))))), 1'(2(2(0(0(2(0(0(1(2(0(2(2(1(2(2(2(0(2(z0))))))))))))))))))), 2'(2(0(0(2(0(0(1(2(0(2(2(1(2(2(2(0(2(z0)))))))))))))))))), 2'(0(0(2(0(0(1(2(0(2(2(1(2(2(2(0(2(z0))))))))))))))))), 0'(0(2(0(0(1(2(0(2(2(1(2(2(2(0(2(z0)))))))))))))))), 0'(2(0(0(1(2(0(2(2(1(2(2(2(0(2(z0))))))))))))))), 2'(0(0(1(2(0(2(2(1(2(2(2(0(2(z0)))))))))))))), 0'(0(1(2(0(2(2(1(2(2(2(0(2(z0))))))))))))), 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0'(2(2(2(2(1(2(1(2(2(2(1(1(2(1(0(1(1(2(2(z0)))))))))))))))))))), 2'(2(2(2(1(2(1(2(2(2(1(1(2(1(0(1(1(2(2(z0))))))))))))))))))), 2'(2(2(1(2(1(2(2(2(1(1(2(1(0(1(1(2(2(z0)))))))))))))))))), 2'(2(1(2(1(2(2(2(1(1(2(1(0(1(1(2(2(z0))))))))))))))))), 2'(1(2(1(2(2(2(1(1(2(1(0(1(1(2(2(z0)))))))))))))))), 1'(2(1(2(2(2(1(1(2(1(0(1(1(2(2(z0))))))))))))))), 2'(1(2(2(2(1(1(2(1(0(1(1(2(2(z0)))))))))))))), 1'(2(2(2(1(1(2(1(0(1(1(2(2(z0))))))))))))), 2'(2(2(1(1(2(1(0(1(1(2(2(z0)))))))))))), 2'(2(1(1(2(1(0(1(1(2(2(z0))))))))))), 2'(1(1(2(1(0(1(1(2(2(z0)))))))))), 1'(1(2(1(0(1(1(2(2(z0))))))))), 1'(2(1(0(1(1(2(2(z0)))))))), 2'(1(0(1(1(2(2(z0))))))), 1'(0(1(1(2(2(z0)))))), 0'(1(1(2(2(z0))))), 1'(1(2(2(z0)))), 1'(2(2(z0))), 2'(2(z0)), 2'(z0)) 1'(c_1(c_1(c_0(c_2(c_2(c_1(c_1(c_1(c_2(c_2(c_0(c_2(c_0(c_2(c_1(c_1(c_2(c_1(c_2(c_1(c_2(c_2(z0))))))))))))))))))))))) -> c23(1'(2(1(2(1(1(1(1(2(1(1(1(2(2(0(1(0(2(2(1(2(2(2(1(0(1(2(z0))))))))))))))))))))))))))), 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2'(2(1(2(2(2(1(0(1(2(z0)))))))))), 2'(1(2(2(2(1(0(1(2(z0))))))))), 1'(2(2(2(1(0(1(2(z0)))))))), 2'(2(2(1(0(1(2(z0))))))), 2'(2(1(0(1(2(z0)))))), 2'(1(0(1(2(z0))))), 1'(0(1(2(z0)))), 0'(1(2(z0))), 1'(2(z0)), 2'(z0)) 1'(c_0(c_0(c_1(c_0(c_1(c_1(c_0(c_2(c_1(c_1(c_2(c_1(c_2(c_1(c_2(c_0(c_1(c_2(c_2(c_1(c_2(c_1(z0))))))))))))))))))))))) -> c24(1'(2(0(0(1(1(2(2(1(2(0(2(2(0(1(1(2(2(2(1(2(2(2(2(2(1(2(z0))))))))))))))))))))))))))), 2'(0(0(1(1(2(2(1(2(0(2(2(0(1(1(2(2(2(1(2(2(2(2(2(1(2(z0)))))))))))))))))))))))))), 0'(0(1(1(2(2(1(2(0(2(2(0(1(1(2(2(2(1(2(2(2(2(2(1(2(z0))))))))))))))))))))))))), 0'(1(1(2(2(1(2(0(2(2(0(1(1(2(2(2(1(2(2(2(2(2(1(2(z0)))))))))))))))))))))))), 1'(1(2(2(1(2(0(2(2(0(1(1(2(2(2(1(2(2(2(2(2(1(2(z0))))))))))))))))))))))), 1'(2(2(1(2(0(2(2(0(1(1(2(2(2(1(2(2(2(2(2(1(2(z0)))))))))))))))))))))), 2'(2(1(2(0(2(2(0(1(1(2(2(2(1(2(2(2(2(2(1(2(z0))))))))))))))))))))), 2'(1(2(0(2(2(0(1(1(2(2(2(1(2(2(2(2(2(1(2(z0)))))))))))))))))))), 1'(2(0(2(2(0(1(1(2(2(2(1(2(2(2(2(2(1(2(z0))))))))))))))))))), 2'(0(2(2(0(1(1(2(2(2(1(2(2(2(2(2(1(2(z0)))))))))))))))))), 0'(2(2(0(1(1(2(2(2(1(2(2(2(2(2(1(2(z0))))))))))))))))), 2'(2(0(1(1(2(2(2(1(2(2(2(2(2(1(2(z0)))))))))))))))), 2'(0(1(1(2(2(2(1(2(2(2(2(2(1(2(z0))))))))))))))), 0'(1(1(2(2(2(1(2(2(2(2(2(1(2(z0)))))))))))))), 1'(1(2(2(2(1(2(2(2(2(2(1(2(z0))))))))))))), 1'(2(2(2(1(2(2(2(2(2(1(2(z0)))))))))))), 2'(2(2(1(2(2(2(2(2(1(2(z0))))))))))), 2'(2(1(2(2(2(2(2(1(2(z0)))))))))), 2'(1(2(2(2(2(2(1(2(z0))))))))), 1'(2(2(2(2(2(1(2(z0)))))))), 2'(2(2(2(2(1(2(z0))))))), 2'(2(2(2(1(2(z0)))))), 2'(2(2(1(2(z0))))), 2'(2(1(2(z0)))), 2'(1(2(z0))), 1'(2(z0)), 2'(z0)) 1'(c_2(c_2(c_2(c_1(c_1(c_0(c_0(c_2(c_2(c_2(c_0(c_0(c_0(c_2(c_1(c_2(c_2(c_0(c_2(c_0(c_2(c_0(z0))))))))))))))))))))))) -> c25(1'(2(1(2(0(0(1(1(1(2(2(2(2(1(2(2(2(0(2(0(1(2(2(2(2(0(0(z0))))))))))))))))))))))))))), 2'(1(2(0(0(1(1(1(2(2(2(2(1(2(2(2(0(2(0(1(2(2(2(2(0(0(z0)))))))))))))))))))))))))), 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1'(1(2(1(2(2(2(z0))))))), 1'(2(1(2(2(2(z0)))))), 2'(1(2(2(2(z0))))), 1'(2(2(2(z0)))), 2'(2(2(z0))), 2'(2(z0)), 2'(z0)) 2'(c_2(c_0(c_0(c_1(c_0(c_1(c_2(c_2(c_2(c_1(c_1(c_0(c_0(c_1(c_2(c_2(c_1(c_2(c_0(c_1(c_2(c_1(z0))))))))))))))))))))))) -> c45(2'(2(2(2(0(2(0(2(2(1(2(1(0(1(1(2(2(0(0(2(1(2(1(2(1(2(0(z0))))))))))))))))))))))))))), 2'(2(2(0(2(0(2(2(1(2(1(0(1(1(2(2(0(0(2(1(2(1(2(1(2(0(z0)))))))))))))))))))))))))), 2'(2(0(2(0(2(2(1(2(1(0(1(1(2(2(0(0(2(1(2(1(2(1(2(0(z0))))))))))))))))))))))))), 2'(0(2(0(2(2(1(2(1(0(1(1(2(2(0(0(2(1(2(1(2(1(2(0(z0)))))))))))))))))))))))), 0'(2(0(2(2(1(2(1(0(1(1(2(2(0(0(2(1(2(1(2(1(2(0(z0))))))))))))))))))))))), 2'(0(2(2(1(2(1(0(1(1(2(2(0(0(2(1(2(1(2(1(2(0(z0)))))))))))))))))))))), 0'(2(2(1(2(1(0(1(1(2(2(0(0(2(1(2(1(2(1(2(0(z0))))))))))))))))))))), 2'(2(1(2(1(0(1(1(2(2(0(0(2(1(2(1(2(1(2(0(z0)))))))))))))))))))), 2'(1(2(1(0(1(1(2(2(0(0(2(1(2(1(2(1(2(0(z0))))))))))))))))))), 1'(2(1(0(1(1(2(2(0(0(2(1(2(1(2(1(2(0(z0)))))))))))))))))), 2'(1(0(1(1(2(2(0(0(2(1(2(1(2(1(2(0(z0))))))))))))))))), 1'(0(1(1(2(2(0(0(2(1(2(1(2(1(2(0(z0)))))))))))))))), 0'(1(1(2(2(0(0(2(1(2(1(2(1(2(0(z0))))))))))))))), 1'(1(2(2(0(0(2(1(2(1(2(1(2(0(z0)))))))))))))), 1'(2(2(0(0(2(1(2(1(2(1(2(0(z0))))))))))))), 2'(2(0(0(2(1(2(1(2(1(2(0(z0)))))))))))), 2'(0(0(2(1(2(1(2(1(2(0(z0))))))))))), 0'(0(2(1(2(1(2(1(2(0(z0)))))))))), 0'(2(1(2(1(2(1(2(0(z0))))))))), 2'(1(2(1(2(1(2(0(z0)))))))), 1'(2(1(2(1(2(0(z0))))))), 2'(1(2(1(2(0(z0)))))), 1'(2(1(2(0(z0))))), 2'(1(2(0(z0)))), 1'(2(0(z0))), 2'(0(z0)), 0'(z0)) 2'(c_2(c_1(c_1(c_2(c_2(c_1(c_2(c_1(c_1(c_1(c_0(c_0(c_2(c_1(c_1(c_0(c_2(c_0(c_0(c_1(c_1(c_2(z0))))))))))))))))))))))) -> c46(2'(1(1(1(2(2(2(1(1(0(2(2(1(0(1(0(2(2(1(2(0(0(0(1(2(1(2(z0))))))))))))))))))))))))))), 1'(1(1(2(2(2(1(1(0(2(2(1(0(1(0(2(2(1(2(0(0(0(1(2(1(2(z0)))))))))))))))))))))))))), 1'(1(2(2(2(1(1(0(2(2(1(0(1(0(2(2(1(2(0(0(0(1(2(1(2(z0))))))))))))))))))))))))), 1'(2(2(2(1(1(0(2(2(1(0(1(0(2(2(1(2(0(0(0(1(2(1(2(z0)))))))))))))))))))))))), 2'(2(2(1(1(0(2(2(1(0(1(0(2(2(1(2(0(0(0(1(2(1(2(z0))))))))))))))))))))))), 2'(2(1(1(0(2(2(1(0(1(0(2(2(1(2(0(0(0(1(2(1(2(z0)))))))))))))))))))))), 2'(1(1(0(2(2(1(0(1(0(2(2(1(2(0(0(0(1(2(1(2(z0))))))))))))))))))))), 1'(1(0(2(2(1(0(1(0(2(2(1(2(0(0(0(1(2(1(2(z0)))))))))))))))))))), 1'(0(2(2(1(0(1(0(2(2(1(2(0(0(0(1(2(1(2(z0))))))))))))))))))), 0'(2(2(1(0(1(0(2(2(1(2(0(0(0(1(2(1(2(z0)))))))))))))))))), 2'(2(1(0(1(0(2(2(1(2(0(0(0(1(2(1(2(z0))))))))))))))))), 2'(1(0(1(0(2(2(1(2(0(0(0(1(2(1(2(z0)))))))))))))))), 1'(0(1(0(2(2(1(2(0(0(0(1(2(1(2(z0))))))))))))))), 0'(1(0(2(2(1(2(0(0(0(1(2(1(2(z0)))))))))))))), 1'(0(2(2(1(2(0(0(0(1(2(1(2(z0))))))))))))), 0'(2(2(1(2(0(0(0(1(2(1(2(z0)))))))))))), 2'(2(1(2(0(0(0(1(2(1(2(z0))))))))))), 2'(1(2(0(0(0(1(2(1(2(z0)))))))))), 1'(2(0(0(0(1(2(1(2(z0))))))))), 2'(0(0(0(1(2(1(2(z0)))))))), 0'(0(0(1(2(1(2(z0))))))), 0'(0(1(2(1(2(z0)))))), 0'(1(2(1(2(z0))))), 1'(2(1(2(z0)))), 2'(1(2(z0))), 1'(2(z0)), 2'(z0)) 2'(c_2(c_0(c_1(c_1(c_0(c_0(c_1(c_2(c_1(c_0(c_2(c_1(c_2(c_2(c_2(c_1(c_0(c_0(c_2(c_2(c_2(c_0(z0))))))))))))))))))))))) -> c47(2'(2(1(0(0(0(0(2(2(1(1(2(2(1(0(2(1(2(1(2(2(1(2(2(2(0(0(z0))))))))))))))))))))))))))), 2'(1(0(0(0(0(2(2(1(1(2(2(1(0(2(1(2(1(2(2(1(2(2(2(0(0(z0)))))))))))))))))))))))))), 1'(0(0(0(0(2(2(1(1(2(2(1(0(2(1(2(1(2(2(1(2(2(2(0(0(z0))))))))))))))))))))))))), 0'(0(0(0(2(2(1(1(2(2(1(0(2(1(2(1(2(2(1(2(2(2(0(0(z0)))))))))))))))))))))))), 0'(0(0(2(2(1(1(2(2(1(0(2(1(2(1(2(2(1(2(2(2(0(0(z0))))))))))))))))))))))), 0'(0(2(2(1(1(2(2(1(0(2(1(2(1(2(2(1(2(2(2(0(0(z0)))))))))))))))))))))), 0'(2(2(1(1(2(2(1(0(2(1(2(1(2(2(1(2(2(2(0(0(z0))))))))))))))))))))), 2'(2(1(1(2(2(1(0(2(1(2(1(2(2(1(2(2(2(0(0(z0)))))))))))))))))))), 2'(1(1(2(2(1(0(2(1(2(1(2(2(1(2(2(2(0(0(z0))))))))))))))))))), 1'(1(2(2(1(0(2(1(2(1(2(2(1(2(2(2(0(0(z0)))))))))))))))))), 1'(2(2(1(0(2(1(2(1(2(2(1(2(2(2(0(0(z0))))))))))))))))), 2'(2(1(0(2(1(2(1(2(2(1(2(2(2(0(0(z0)))))))))))))))), 2'(1(0(2(1(2(1(2(2(1(2(2(2(0(0(z0))))))))))))))), 1'(0(2(1(2(1(2(2(1(2(2(2(0(0(z0)))))))))))))), 0'(2(1(2(1(2(2(1(2(2(2(0(0(z0))))))))))))), 2'(1(2(1(2(2(1(2(2(2(0(0(z0)))))))))))), 1'(2(1(2(2(1(2(2(2(0(0(z0))))))))))), 2'(1(2(2(1(2(2(2(0(0(z0)))))))))), 1'(2(2(1(2(2(2(0(0(z0))))))))), 2'(2(1(2(2(2(0(0(z0)))))))), 2'(1(2(2(2(0(0(z0))))))), 1'(2(2(2(0(0(z0)))))), 2'(2(2(0(0(z0))))), 2'(2(0(0(z0)))), 2'(0(0(z0))), 0'(0(z0)), 0'(z0)) 2'(c_1(c_2(c_1(c_0(c_2(c_1(c_2(c_0(c_0(c_0(c_0(c_2(c_0(c_0(c_0(c_2(c_2(c_0(c_0(c_0(c_0(c_1(z0))))))))))))))))))))))) -> c48(2'(1(2(1(2(0(0(2(1(0(0(2(2(0(1(0(2(1(2(1(2(2(1(2(1(1(2(z0))))))))))))))))))))))))))), 1'(2(1(2(0(0(2(1(0(0(2(2(0(1(0(2(1(2(1(2(2(1(2(1(1(2(z0)))))))))))))))))))))))))), 2'(1(2(0(0(2(1(0(0(2(2(0(1(0(2(1(2(1(2(2(1(2(1(1(2(z0))))))))))))))))))))))))), 1'(2(0(0(2(1(0(0(2(2(0(1(0(2(1(2(1(2(2(1(2(1(1(2(z0)))))))))))))))))))))))), 2'(0(0(2(1(0(0(2(2(0(1(0(2(1(2(1(2(2(1(2(1(1(2(z0))))))))))))))))))))))), 0'(0(2(1(0(0(2(2(0(1(0(2(1(2(1(2(2(1(2(1(1(2(z0)))))))))))))))))))))), 0'(2(1(0(0(2(2(0(1(0(2(1(2(1(2(2(1(2(1(1(2(z0))))))))))))))))))))), 2'(1(0(0(2(2(0(1(0(2(1(2(1(2(2(1(2(1(1(2(z0)))))))))))))))))))), 1'(0(0(2(2(0(1(0(2(1(2(1(2(2(1(2(1(1(2(z0))))))))))))))))))), 0'(0(2(2(0(1(0(2(1(2(1(2(2(1(2(1(1(2(z0)))))))))))))))))), 0'(2(2(0(1(0(2(1(2(1(2(2(1(2(1(1(2(z0))))))))))))))))), 2'(2(0(1(0(2(1(2(1(2(2(1(2(1(1(2(z0)))))))))))))))), 2'(0(1(0(2(1(2(1(2(2(1(2(1(1(2(z0))))))))))))))), 0'(1(0(2(1(2(1(2(2(1(2(1(1(2(z0)))))))))))))), 1'(0(2(1(2(1(2(2(1(2(1(1(2(z0))))))))))))), 0'(2(1(2(1(2(2(1(2(1(1(2(z0)))))))))))), 2'(1(2(1(2(2(1(2(1(1(2(z0))))))))))), 1'(2(1(2(2(1(2(1(1(2(z0)))))))))), 2'(1(2(2(1(2(1(1(2(z0))))))))), 1'(2(2(1(2(1(1(2(z0)))))))), 2'(2(1(2(1(1(2(z0))))))), 2'(1(2(1(1(2(z0)))))), 1'(2(1(1(2(z0))))), 2'(1(1(2(z0)))), 1'(1(2(z0))), 1'(2(z0)), 2'(z0)) K tuples:none Defined Rule Symbols: encArg_1, 0_1, 1_1, 2_1 Defined Pair Symbols: ENCARG_1, 0'_1, 1'_1, 2'_1, ENCODE_0_1, ENCODE_1_1, ENCODE_2_1 Compound Symbols: c2_2, c7_27, c8_27, c9_27, c10_27, c11_27, c12_27, c13_27, c14_27, c15_27, c16_27, c18_27, c19_27, c20_27, c21_27, c22_27, c23_27, c24_27, c25_27, c26_27, c27_27, c28_27, c30_27, c31_27, c32_27, c33_27, c34_27, c35_27, c36_27, c37_27, c38_27, c39_27, c40_27, c41_27, c42_27, c43_27, c44_27, c45_27, c46_27, c47_27, c48_27, c6_1, c_2, c1_2 ---------------------------------------- (53) CdtNarrowingProof (BOTH BOUNDS(ID, ID)) Use narrowing to replace ENCARG(cons_2(z0)) -> c2(2'(encArg(z0)), ENCARG(z0)) by ENCARG(cons_2(cons_0(z0))) -> c2(2'(0(encArg(z0))), ENCARG(cons_0(z0))) ENCARG(cons_2(cons_1(z0))) -> c2(2'(1(encArg(z0))), ENCARG(cons_1(z0))) ENCARG(cons_2(cons_2(z0))) -> c2(2'(2(encArg(z0))), ENCARG(cons_2(z0))) ---------------------------------------- (54) Obligation: Complexity Dependency Tuples Problem Rules: encArg(cons_0(z0)) -> 0(encArg(z0)) encArg(cons_1(z0)) -> 1(encArg(z0)) encArg(cons_2(z0)) -> 2(encArg(z0)) 0(z0) -> c_0(z0) 0(c_0(c_2(c_0(c_2(c_2(c_1(c_2(c_1(c_1(c_2(c_1(c_1(c_2(c_1(c_0(c_0(c_0(c_0(c_1(c_1(c_2(c_1(z0))))))))))))))))))))))) -> 0(0(1(2(2(1(1(2(2(1(1(2(2(2(2(0(1(2(1(2(1(1(1(0(1(2(2(z0))))))))))))))))))))))))))) 0(c_1(c_1(c_1(c_2(c_2(c_1(c_0(c_0(c_2(c_2(c_2(c_2(c_0(c_2(c_0(c_0(c_0(c_0(c_1(c_0(c_0(c_2(z0))))))))))))))))))))))) -> 0(2(1(1(1(1(2(2(1(1(0(1(1(2(1(2(1(0(0(1(2(2(1(0(0(2(2(z0))))))))))))))))))))))))))) 0(c_1(c_1(c_0(c_1(c_1(c_1(c_2(c_2(c_0(c_2(c_0(c_1(c_2(c_2(c_2(c_0(c_1(c_2(c_0(c_1(c_0(c_2(z0))))))))))))))))))))))) -> 0(2(0(1(0(2(0(2(2(2(1(2(1(1(2(2(2(2(2(2(2(1(0(0(0(2(2(z0))))))))))))))))))))))))))) 0(c_1(c_0(c_0(c_1(c_2(c_2(c_1(c_0(c_1(c_2(c_1(c_2(c_0(c_1(c_0(c_2(c_2(c_0(c_1(c_2(c_1(c_0(z0))))))))))))))))))))))) -> 0(0(0(1(2(2(2(2(2(2(2(0(0(0(0(1(2(1(2(2(2(1(0(2(0(2(0(z0))))))))))))))))))))))))))) 0(c_0(c_1(c_2(c_0(c_1(c_0(c_0(c_2(c_0(c_1(c_1(c_0(c_1(c_2(c_1(c_1(c_2(c_2(c_1(c_1(c_0(c_2(z0))))))))))))))))))))))) -> 0(2(2(2(0(1(1(2(1(2(2(1(2(1(0(2(2(2(1(2(1(1(0(0(1(0(2(z0))))))))))))))))))))))))))) 0(c_1(c_1(c_1(c_1(c_2(c_1(c_1(c_2(c_2(c_0(c_1(c_0(c_1(c_1(c_0(c_2(c_0(c_0(c_2(c_0(c_1(c_0(z0))))))))))))))))))))))) -> 2(2(2(2(2(1(0(1(2(2(0(1(1(1(2(2(1(1(0(0(0(0(2(2(1(2(2(z0))))))))))))))))))))))))))) 0(c_1(c_2(c_1(c_1(c_2(c_2(c_2(c_1(c_1(c_0(c_0(c_1(c_0(c_2(c_0(c_2(c_2(c_1(c_0(c_2(c_1(c_1(z0))))))))))))))))))))))) -> 2(1(2(1(2(1(2(2(0(2(0(1(2(1(2(1(2(0(1(2(0(0(2(2(1(1(2(z0))))))))))))))))))))))))))) 0(c_0(c_1(c_0(c_2(c_2(c_1(c_2(c_0(c_0(c_1(c_2(c_0(c_2(c_2(c_2(c_1(c_1(c_2(c_0(c_0(c_2(c_1(z0))))))))))))))))))))))) -> 0(1(1(1(0(2(1(2(1(2(0(1(1(2(1(1(2(2(2(2(2(0(2(2(2(1(2(z0))))))))))))))))))))))))))) 0(c_0(c_0(c_0(c_1(c_0(c_0(c_2(c_2(c_1(c_0(c_2(c_0(c_2(c_1(c_1(c_2(c_1(c_2(c_2(c_0(c_1(c_1(z0))))))))))))))))))))))) -> 0(1(2(0(0(2(1(2(2(1(1(2(1(1(1(1(2(2(2(1(2(1(0(2(1(1(0(z0))))))))))))))))))))))))))) 0(c_0(c_0(c_2(c_2(c_0(c_2(c_2(c_2(c_1(c_1(c_0(c_2(c_2(c_1(c_2(c_1(c_0(c_2(c_0(c_0(c_0(c_1(z0))))))))))))))))))))))) -> 2(0(1(1(1(2(2(1(1(2(2(2(2(1(0(1(2(1(1(2(2(2(1(2(1(2(2(z0))))))))))))))))))))))))))) 1(z0) -> c_1(z0) 1(c_2(c_0(c_0(c_2(c_0(c_1(c_2(c_2(c_0(c_2(c_1(c_2(c_1(c_2(c_0(c_1(c_0(c_1(c_2(c_0(c_2(c_1(z0))))))))))))))))))))))) -> 1(2(2(0(2(1(2(2(0(1(0(2(1(0(1(2(1(2(2(2(2(0(2(2(0(2(0(z0))))))))))))))))))))))))))) 1(c_1(c_0(c_2(c_1(c_2(c_2(c_2(c_2(c_1(c_0(c_1(c_2(c_0(c_1(c_2(c_1(c_1(c_0(c_2(c_1(c_2(c_0(z0))))))))))))))))))))))) -> 2(2(1(2(1(2(2(1(0(1(2(2(2(1(0(2(1(1(2(1(0(1(1(1(2(2(2(z0))))))))))))))))))))))))))) 1(c_1(c_0(c_1(c_2(c_2(c_2(c_2(c_1(c_0(c_2(c_1(c_2(c_0(c_0(c_0(c_1(c_0(c_2(c_1(c_1(c_1(c_2(z0))))))))))))))))))))))) -> 2(1(2(1(2(2(2(2(2(0(0(0(0(2(1(2(2(2(2(1(2(2(2(0(0(2(2(z0))))))))))))))))))))))))))) 1(c_1(c_2(c_2(c_1(c_0(c_2(c_0(c_1(c_1(c_2(c_2(c_2(c_1(c_0(c_1(c_0(c_0(c_2(c_1(c_1(c_0(c_2(z0))))))))))))))))))))))) -> 2(2(2(1(1(2(2(2(1(2(2(0(0(2(0(0(1(2(0(2(2(1(2(2(2(0(2(z0))))))))))))))))))))))))))) 1(c_0(c_1(c_0(c_2(c_2(c_2(c_2(c_1(c_0(c_0(c_2(c_0(c_2(c_1(c_2(c_1(c_2(c_1(c_1(c_2(c_0(c_2(z0))))))))))))))))))))))) -> 2(1(2(0(2(0(2(0(2(2(2(2(1(2(1(2(2(2(1(1(2(1(0(1(1(2(2(z0))))))))))))))))))))))))))) 1(c_1(c_1(c_0(c_2(c_2(c_1(c_1(c_1(c_2(c_2(c_0(c_2(c_0(c_2(c_1(c_1(c_2(c_1(c_2(c_1(c_2(c_2(z0))))))))))))))))))))))) -> 1(2(1(2(1(1(1(1(2(1(1(1(2(2(0(1(0(2(2(1(2(2(2(1(0(1(2(z0))))))))))))))))))))))))))) 1(c_0(c_0(c_1(c_0(c_1(c_1(c_0(c_2(c_1(c_1(c_2(c_1(c_2(c_1(c_2(c_0(c_1(c_2(c_2(c_1(c_2(c_1(z0))))))))))))))))))))))) -> 1(2(0(0(1(1(2(2(1(2(0(2(2(0(1(1(2(2(2(1(2(2(2(2(2(1(2(z0))))))))))))))))))))))))))) 1(c_2(c_2(c_2(c_1(c_1(c_0(c_0(c_2(c_2(c_2(c_0(c_0(c_0(c_2(c_1(c_2(c_2(c_0(c_2(c_0(c_2(c_0(z0))))))))))))))))))))))) -> 1(2(1(2(0(0(1(1(1(2(2(2(2(1(2(2(2(0(2(0(1(2(2(2(2(0(0(z0))))))))))))))))))))))))))) 1(c_2(c_0(c_2(c_1(c_2(c_2(c_1(c_2(c_2(c_2(c_0(c_1(c_1(c_1(c_1(c_0(c_1(c_0(c_0(c_2(c_0(c_1(z0))))))))))))))))))))))) -> 1(2(1(2(1(2(2(2(2(2(2(0(0(2(0(0(2(2(0(1(1(1(1(0(0(2(1(z0))))))))))))))))))))))))))) 1(c_1(c_0(c_2(c_1(c_0(c_2(c_0(c_1(c_2(c_0(c_2(c_0(c_0(c_2(c_1(c_0(c_1(c_0(c_1(c_2(c_1(c_2(z0))))))))))))))))))))))) -> 2(0(2(2(1(1(1(2(2(0(1(2(0(2(1(1(2(1(0(0(2(0(1(2(2(2(2(z0))))))))))))))))))))))))))) 1(c_1(c_0(c_0(c_1(c_1(c_1(c_2(c_2(c_2(c_1(c_2(c_1(c_0(c_0(c_0(c_2(c_2(c_2(c_0(c_1(c_2(c_0(z0))))))))))))))))))))))) -> 2(1(2(1(2(2(2(1(2(2(0(2(2(1(0(2(1(2(2(0(1(0(1(1(2(2(2(z0))))))))))))))))))))))))))) 2(z0) -> c_2(z0) 2(c_2(c_1(c_1(c_1(c_0(c_0(c_2(c_1(c_0(c_2(c_1(c_2(c_0(c_0(c_2(c_1(c_0(c_1(c_1(c_2(c_2(c_1(z0))))))))))))))))))))))) -> 2(1(2(2(0(1(2(1(1(0(1(2(1(0(0(1(2(2(1(2(1(0(2(1(2(2(1(z0))))))))))))))))))))))))))) 2(c_2(c_1(c_1(c_2(c_0(c_0(c_2(c_2(c_2(c_2(c_1(c_1(c_1(c_1(c_1(c_2(c_1(c_2(c_0(c_0(c_1(c_1(z0))))))))))))))))))))))) -> 2(2(1(1(2(2(1(2(1(2(2(0(0(0(2(1(0(2(2(1(2(2(0(1(1(2(2(z0))))))))))))))))))))))))))) 2(c_1(c_0(c_1(c_0(c_0(c_2(c_2(c_2(c_0(c_1(c_0(c_0(c_2(c_0(c_0(c_1(c_2(c_0(c_2(c_2(c_2(c_0(z0))))))))))))))))))))))) -> 2(1(1(2(0(1(2(0(0(2(0(1(2(2(1(1(1(2(2(2(0(0(1(1(0(2(0(z0))))))))))))))))))))))))))) 2(c_0(c_2(c_0(c_1(c_0(c_1(c_1(c_2(c_0(c_1(c_1(c_2(c_2(c_1(c_0(c_2(c_0(c_2(c_0(c_2(c_2(c_2(z0))))))))))))))))))))))) -> 2(0(0(1(1(2(0(2(2(1(1(2(2(0(1(2(2(2(0(0(2(0(2(2(2(0(2(z0))))))))))))))))))))))))))) 2(c_2(c_0(c_1(c_2(c_2(c_2(c_0(c_2(c_2(c_2(c_0(c_2(c_2(c_2(c_2(c_1(c_0(c_1(c_0(c_0(c_1(c_0(z0))))))))))))))))))))))) -> 2(2(0(1(1(2(2(2(1(1(2(1(0(0(1(2(2(1(2(1(0(2(2(0(0(2(0(z0))))))))))))))))))))))))))) 2(c_2(c_1(c_1(c_1(c_2(c_0(c_1(c_1(c_2(c_2(c_0(c_1(c_1(c_1(c_1(c_1(c_2(c_2(c_2(c_0(c_2(c_1(z0))))))))))))))))))))))) -> 1(2(1(2(2(1(1(1(1(2(2(2(1(2(0(0(0(1(2(0(0(1(2(2(2(2(2(z0))))))))))))))))))))))))))) 2(c_1(c_1(c_0(c_2(c_2(c_2(c_0(c_1(c_2(c_1(c_1(c_0(c_1(c_2(c_0(c_0(c_1(c_1(c_1(c_1(c_2(c_2(z0))))))))))))))))))))))) -> 2(0(0(2(1(0(0(0(0(0(1(2(1(1(2(1(1(2(1(2(2(0(1(1(1(2(2(z0))))))))))))))))))))))))))) 2(c_2(c_1(c_2(c_1(c_2(c_2(c_2(c_0(c_1(c_2(c_1(c_2(c_2(c_2(c_2(c_1(c_1(c_0(c_1(c_0(c_1(c_0(z0))))))))))))))))))))))) -> 1(2(1(2(1(2(0(1(2(2(0(1(1(1(2(2(1(1(1(2(2(0(1(0(1(2(2(z0))))))))))))))))))))))))))) 2(c_0(c_2(c_0(c_1(c_2(c_2(c_0(c_0(c_2(c_2(c_2(c_1(c_1(c_1(c_2(c_1(c_0(c_2(c_0(c_2(c_2(c_0(z0))))))))))))))))))))))) -> 2(1(1(1(2(2(0(0(0(2(1(0(0(0(1(1(0(2(2(0(2(2(2(2(2(2(0(z0))))))))))))))))))))))))))) 2(c_2(c_0(c_0(c_2(c_1(c_2(c_0(c_1(c_2(c_0(c_2(c_1(c_0(c_1(c_1(c_2(c_2(c_1(c_0(c_1(c_0(c_2(z0))))))))))))))))))))))) -> 2(2(2(2(1(2(1(2(0(2(2(2(2(2(0(1(2(0(2(1(0(0(0(2(0(2(2(z0))))))))))))))))))))))))))) 2(c_2(c_2(c_0(c_0(c_1(c_0(c_0(c_2(c_0(c_0(c_2(c_1(c_1(c_2(c_1(c_0(c_1(c_2(c_2(c_2(c_1(c_0(z0))))))))))))))))))))))) -> 1(2(2(2(2(0(1(2(1(2(0(1(2(1(2(1(0(1(0(1(0(1(1(2(2(1(0(z0))))))))))))))))))))))))))) 2(c_1(c_0(c_1(c_1(c_2(c_0(c_0(c_2(c_1(c_0(c_0(c_0(c_1(c_2(c_1(c_1(c_2(c_0(c_2(c_1(c_2(c_1(z0))))))))))))))))))))))) -> 2(0(2(2(0(0(2(2(1(1(1(2(0(1(0(1(2(2(2(2(2(0(0(0(2(2(1(z0))))))))))))))))))))))))))) 2(c_2(c_1(c_2(c_2(c_0(c_0(c_2(c_1(c_1(c_0(c_2(c_2(c_0(c_2(c_2(c_0(c_2(c_2(c_1(c_2(c_0(c_2(z0))))))))))))))))))))))) -> 1(2(1(1(1(2(2(2(1(2(1(0(2(1(1(1(1(2(2(0(0(1(1(0(2(1(2(z0))))))))))))))))))))))))))) 2(c_2(c_0(c_0(c_1(c_2(c_1(c_1(c_2(c_1(c_0(c_0(c_0(c_0(c_0(c_2(c_1(c_2(c_1(c_1(c_2(c_0(c_2(z0))))))))))))))))))))))) -> 2(1(1(2(2(2(2(1(2(1(0(0(2(1(0(2(2(0(1(1(0(2(0(0(0(0(2(z0))))))))))))))))))))))))))) 2(c_0(c_1(c_0(c_0(c_0(c_1(c_0(c_0(c_0(c_0(c_0(c_0(c_0(c_1(c_0(c_2(c_0(c_0(c_2(c_2(c_2(c_2(z0))))))))))))))))))))))) -> 2(2(2(1(1(2(1(2(0(1(1(2(1(0(2(1(0(0(1(0(1(1(2(1(2(2(2(z0))))))))))))))))))))))))))) 2(c_2(c_0(c_0(c_1(c_0(c_1(c_2(c_2(c_2(c_1(c_1(c_0(c_0(c_1(c_2(c_2(c_1(c_2(c_0(c_1(c_2(c_1(z0))))))))))))))))))))))) -> 2(2(2(2(0(2(0(2(2(1(2(1(0(1(1(2(2(0(0(2(1(2(1(2(1(2(0(z0))))))))))))))))))))))))))) 2(c_2(c_1(c_1(c_2(c_2(c_1(c_2(c_1(c_1(c_1(c_0(c_0(c_2(c_1(c_1(c_0(c_2(c_0(c_0(c_1(c_1(c_2(z0))))))))))))))))))))))) -> 2(1(1(1(2(2(2(1(1(0(2(2(1(0(1(0(2(2(1(2(0(0(0(1(2(1(2(z0))))))))))))))))))))))))))) 2(c_2(c_0(c_1(c_1(c_0(c_0(c_1(c_2(c_1(c_0(c_2(c_1(c_2(c_2(c_2(c_1(c_0(c_0(c_2(c_2(c_2(c_0(z0))))))))))))))))))))))) -> 2(2(1(0(0(0(0(2(2(1(1(2(2(1(0(2(1(2(1(2(2(1(2(2(2(0(0(z0))))))))))))))))))))))))))) 2(c_1(c_2(c_1(c_0(c_2(c_1(c_2(c_0(c_0(c_0(c_0(c_2(c_0(c_0(c_0(c_2(c_2(c_0(c_0(c_0(c_0(c_1(z0))))))))))))))))))))))) -> 2(1(2(1(2(0(0(2(1(0(0(2(2(0(1(0(2(1(2(1(2(2(1(2(1(1(2(z0))))))))))))))))))))))))))) Tuples: 0'(c_0(c_2(c_0(c_2(c_2(c_1(c_2(c_1(c_1(c_2(c_1(c_1(c_2(c_1(c_0(c_0(c_0(c_0(c_1(c_1(c_2(c_1(z0))))))))))))))))))))))) -> c7(0'(0(1(2(2(1(1(2(2(1(1(2(2(2(2(0(1(2(1(2(1(1(1(0(1(2(2(z0))))))))))))))))))))))))))), 0'(1(2(2(1(1(2(2(1(1(2(2(2(2(0(1(2(1(2(1(1(1(0(1(2(2(z0)))))))))))))))))))))))))), 1'(2(2(1(1(2(2(1(1(2(2(2(2(0(1(2(1(2(1(1(1(0(1(2(2(z0))))))))))))))))))))))))), 2'(2(1(1(2(2(1(1(2(2(2(2(0(1(2(1(2(1(1(1(0(1(2(2(z0)))))))))))))))))))))))), 2'(1(1(2(2(1(1(2(2(2(2(0(1(2(1(2(1(1(1(0(1(2(2(z0))))))))))))))))))))))), 1'(1(2(2(1(1(2(2(2(2(0(1(2(1(2(1(1(1(0(1(2(2(z0)))))))))))))))))))))), 1'(2(2(1(1(2(2(2(2(0(1(2(1(2(1(1(1(0(1(2(2(z0))))))))))))))))))))), 2'(2(1(1(2(2(2(2(0(1(2(1(2(1(1(1(0(1(2(2(z0)))))))))))))))))))), 2'(1(1(2(2(2(2(0(1(2(1(2(1(1(1(0(1(2(2(z0))))))))))))))))))), 1'(1(2(2(2(2(0(1(2(1(2(1(1(1(0(1(2(2(z0)))))))))))))))))), 1'(2(2(2(2(0(1(2(1(2(1(1(1(0(1(2(2(z0))))))))))))))))), 2'(2(2(2(0(1(2(1(2(1(1(1(0(1(2(2(z0)))))))))))))))), 2'(2(2(0(1(2(1(2(1(1(1(0(1(2(2(z0))))))))))))))), 2'(2(0(1(2(1(2(1(1(1(0(1(2(2(z0)))))))))))))), 2'(0(1(2(1(2(1(1(1(0(1(2(2(z0))))))))))))), 0'(1(2(1(2(1(1(1(0(1(2(2(z0)))))))))))), 1'(2(1(2(1(1(1(0(1(2(2(z0))))))))))), 2'(1(2(1(1(1(0(1(2(2(z0)))))))))), 1'(2(1(1(1(0(1(2(2(z0))))))))), 2'(1(1(1(0(1(2(2(z0)))))))), 1'(1(1(0(1(2(2(z0))))))), 1'(1(0(1(2(2(z0)))))), 1'(0(1(2(2(z0))))), 0'(1(2(2(z0)))), 1'(2(2(z0))), 2'(2(z0)), 2'(z0)) 0'(c_1(c_1(c_1(c_2(c_2(c_1(c_0(c_0(c_2(c_2(c_2(c_2(c_0(c_2(c_0(c_0(c_0(c_0(c_1(c_0(c_0(c_2(z0))))))))))))))))))))))) -> c8(0'(2(1(1(1(1(2(2(1(1(0(1(1(2(1(2(1(0(0(1(2(2(1(0(0(2(2(z0))))))))))))))))))))))))))), 2'(1(1(1(1(2(2(1(1(0(1(1(2(1(2(1(0(0(1(2(2(1(0(0(2(2(z0)))))))))))))))))))))))))), 1'(1(1(1(2(2(1(1(0(1(1(2(1(2(1(0(0(1(2(2(1(0(0(2(2(z0))))))))))))))))))))))))), 1'(1(1(2(2(1(1(0(1(1(2(1(2(1(0(0(1(2(2(1(0(0(2(2(z0)))))))))))))))))))))))), 1'(1(2(2(1(1(0(1(1(2(1(2(1(0(0(1(2(2(1(0(0(2(2(z0))))))))))))))))))))))), 1'(2(2(1(1(0(1(1(2(1(2(1(0(0(1(2(2(1(0(0(2(2(z0)))))))))))))))))))))), 2'(2(1(1(0(1(1(2(1(2(1(0(0(1(2(2(1(0(0(2(2(z0))))))))))))))))))))), 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2'(0(0(0(0(2(1(2(2(2(2(1(2(2(2(0(0(2(2(z0))))))))))))))))))), 0'(0(0(0(2(1(2(2(2(2(1(2(2(2(0(0(2(2(z0)))))))))))))))))), 0'(0(0(2(1(2(2(2(2(1(2(2(2(0(0(2(2(z0))))))))))))))))), 0'(0(2(1(2(2(2(2(1(2(2(2(0(0(2(2(z0)))))))))))))))), 0'(2(1(2(2(2(2(1(2(2(2(0(0(2(2(z0))))))))))))))), 2'(1(2(2(2(2(1(2(2(2(0(0(2(2(z0)))))))))))))), 1'(2(2(2(2(1(2(2(2(0(0(2(2(z0))))))))))))), 2'(2(2(2(1(2(2(2(0(0(2(2(z0)))))))))))), 2'(2(2(1(2(2(2(0(0(2(2(z0))))))))))), 2'(2(1(2(2(2(0(0(2(2(z0)))))))))), 2'(1(2(2(2(0(0(2(2(z0))))))))), 1'(2(2(2(0(0(2(2(z0)))))))), 2'(2(2(0(0(2(2(z0))))))), 2'(2(0(0(2(2(z0)))))), 2'(0(0(2(2(z0))))), 0'(0(2(2(z0)))), 0'(2(2(z0))), 2'(2(z0)), 2'(z0)) 1'(c_1(c_2(c_2(c_1(c_0(c_2(c_0(c_1(c_1(c_2(c_2(c_2(c_1(c_0(c_1(c_0(c_0(c_2(c_1(c_1(c_0(c_2(z0))))))))))))))))))))))) -> c21(2'(2(2(1(1(2(2(2(1(2(2(0(0(2(0(0(1(2(0(2(2(1(2(2(2(0(2(z0))))))))))))))))))))))))))), 2'(2(1(1(2(2(2(1(2(2(0(0(2(0(0(1(2(0(2(2(1(2(2(2(0(2(z0)))))))))))))))))))))))))), 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2'(c_2(c_0(c_0(c_1(c_2(c_1(c_1(c_2(c_1(c_0(c_0(c_0(c_0(c_0(c_2(c_1(c_2(c_1(c_1(c_2(c_0(c_2(z0))))))))))))))))))))))) -> c43(2'(1(1(2(2(2(2(1(2(1(0(0(2(1(0(2(2(0(1(1(0(2(0(0(0(0(2(z0))))))))))))))))))))))))))), 1'(1(2(2(2(2(1(2(1(0(0(2(1(0(2(2(0(1(1(0(2(0(0(0(0(2(z0)))))))))))))))))))))))))), 1'(2(2(2(2(1(2(1(0(0(2(1(0(2(2(0(1(1(0(2(0(0(0(0(2(z0))))))))))))))))))))))))), 2'(2(2(2(1(2(1(0(0(2(1(0(2(2(0(1(1(0(2(0(0(0(0(2(z0)))))))))))))))))))))))), 2'(2(2(1(2(1(0(0(2(1(0(2(2(0(1(1(0(2(0(0(0(0(2(z0))))))))))))))))))))))), 2'(2(1(2(1(0(0(2(1(0(2(2(0(1(1(0(2(0(0(0(0(2(z0)))))))))))))))))))))), 2'(1(2(1(0(0(2(1(0(2(2(0(1(1(0(2(0(0(0(0(2(z0))))))))))))))))))))), 1'(2(1(0(0(2(1(0(2(2(0(1(1(0(2(0(0(0(0(2(z0)))))))))))))))))))), 2'(1(0(0(2(1(0(2(2(0(1(1(0(2(0(0(0(0(2(z0))))))))))))))))))), 1'(0(0(2(1(0(2(2(0(1(1(0(2(0(0(0(0(2(z0)))))))))))))))))), 0'(0(2(1(0(2(2(0(1(1(0(2(0(0(0(0(2(z0))))))))))))))))), 0'(2(1(0(2(2(0(1(1(0(2(0(0(0(0(2(z0)))))))))))))))), 2'(1(0(2(2(0(1(1(0(2(0(0(0(0(2(z0))))))))))))))), 1'(0(2(2(0(1(1(0(2(0(0(0(0(2(z0)))))))))))))), 0'(2(2(0(1(1(0(2(0(0(0(0(2(z0))))))))))))), 2'(2(0(1(1(0(2(0(0(0(0(2(z0)))))))))))), 2'(0(1(1(0(2(0(0(0(0(2(z0))))))))))), 0'(1(1(0(2(0(0(0(0(2(z0)))))))))), 1'(1(0(2(0(0(0(0(2(z0))))))))), 1'(0(2(0(0(0(0(2(z0)))))))), 0'(2(0(0(0(0(2(z0))))))), 2'(0(0(0(0(2(z0)))))), 0'(0(0(0(2(z0))))), 0'(0(0(2(z0)))), 0'(0(2(z0))), 0'(2(z0)), 2'(z0)) 2'(c_0(c_1(c_0(c_0(c_0(c_1(c_0(c_0(c_0(c_0(c_0(c_0(c_0(c_1(c_0(c_2(c_0(c_0(c_2(c_2(c_2(c_2(z0))))))))))))))))))))))) -> c44(2'(2(2(1(1(2(1(2(0(1(1(2(1(0(2(1(0(0(1(0(1(1(2(1(2(2(2(z0))))))))))))))))))))))))))), 2'(2(1(1(2(1(2(0(1(1(2(1(0(2(1(0(0(1(0(1(1(2(1(2(2(2(z0)))))))))))))))))))))))))), 2'(1(1(2(1(2(0(1(1(2(1(0(2(1(0(0(1(0(1(1(2(1(2(2(2(z0))))))))))))))))))))))))), 1'(1(2(1(2(0(1(1(2(1(0(2(1(0(0(1(0(1(1(2(1(2(2(2(z0)))))))))))))))))))))))), 1'(2(1(2(0(1(1(2(1(0(2(1(0(0(1(0(1(1(2(1(2(2(2(z0))))))))))))))))))))))), 2'(1(2(0(1(1(2(1(0(2(1(0(0(1(0(1(1(2(1(2(2(2(z0)))))))))))))))))))))), 1'(2(0(1(1(2(1(0(2(1(0(0(1(0(1(1(2(1(2(2(2(z0))))))))))))))))))))), 2'(0(1(1(2(1(0(2(1(0(0(1(0(1(1(2(1(2(2(2(z0)))))))))))))))))))), 0'(1(1(2(1(0(2(1(0(0(1(0(1(1(2(1(2(2(2(z0))))))))))))))))))), 1'(1(2(1(0(2(1(0(0(1(0(1(1(2(1(2(2(2(z0)))))))))))))))))), 1'(2(1(0(2(1(0(0(1(0(1(1(2(1(2(2(2(z0))))))))))))))))), 2'(1(0(2(1(0(0(1(0(1(1(2(1(2(2(2(z0)))))))))))))))), 1'(0(2(1(0(0(1(0(1(1(2(1(2(2(2(z0))))))))))))))), 0'(2(1(0(0(1(0(1(1(2(1(2(2(2(z0)))))))))))))), 2'(1(0(0(1(0(1(1(2(1(2(2(2(z0))))))))))))), 1'(0(0(1(0(1(1(2(1(2(2(2(z0)))))))))))), 0'(0(1(0(1(1(2(1(2(2(2(z0))))))))))), 0'(1(0(1(1(2(1(2(2(2(z0)))))))))), 1'(0(1(1(2(1(2(2(2(z0))))))))), 0'(1(1(2(1(2(2(2(z0)))))))), 1'(1(2(1(2(2(2(z0))))))), 1'(2(1(2(2(2(z0)))))), 2'(1(2(2(2(z0))))), 1'(2(2(2(z0)))), 2'(2(2(z0))), 2'(2(z0)), 2'(z0)) 2'(c_2(c_0(c_0(c_1(c_0(c_1(c_2(c_2(c_2(c_1(c_1(c_0(c_0(c_1(c_2(c_2(c_1(c_2(c_0(c_1(c_2(c_1(z0))))))))))))))))))))))) -> c45(2'(2(2(2(0(2(0(2(2(1(2(1(0(1(1(2(2(0(0(2(1(2(1(2(1(2(0(z0))))))))))))))))))))))))))), 2'(2(2(0(2(0(2(2(1(2(1(0(1(1(2(2(0(0(2(1(2(1(2(1(2(0(z0)))))))))))))))))))))))))), 2'(2(0(2(0(2(2(1(2(1(0(1(1(2(2(0(0(2(1(2(1(2(1(2(0(z0))))))))))))))))))))))))), 2'(0(2(0(2(2(1(2(1(0(1(1(2(2(0(0(2(1(2(1(2(1(2(0(z0)))))))))))))))))))))))), 0'(2(0(2(2(1(2(1(0(1(1(2(2(0(0(2(1(2(1(2(1(2(0(z0))))))))))))))))))))))), 2'(0(2(2(1(2(1(0(1(1(2(2(0(0(2(1(2(1(2(1(2(0(z0)))))))))))))))))))))), 0'(2(2(1(2(1(0(1(1(2(2(0(0(2(1(2(1(2(1(2(0(z0))))))))))))))))))))), 2'(2(1(2(1(0(1(1(2(2(0(0(2(1(2(1(2(1(2(0(z0)))))))))))))))))))), 2'(1(2(1(0(1(1(2(2(0(0(2(1(2(1(2(1(2(0(z0))))))))))))))))))), 1'(2(1(0(1(1(2(2(0(0(2(1(2(1(2(1(2(0(z0)))))))))))))))))), 2'(1(0(1(1(2(2(0(0(2(1(2(1(2(1(2(0(z0))))))))))))))))), 1'(0(1(1(2(2(0(0(2(1(2(1(2(1(2(0(z0)))))))))))))))), 0'(1(1(2(2(0(0(2(1(2(1(2(1(2(0(z0))))))))))))))), 1'(1(2(2(0(0(2(1(2(1(2(1(2(0(z0)))))))))))))), 1'(2(2(0(0(2(1(2(1(2(1(2(0(z0))))))))))))), 2'(2(0(0(2(1(2(1(2(1(2(0(z0)))))))))))), 2'(0(0(2(1(2(1(2(1(2(0(z0))))))))))), 0'(0(2(1(2(1(2(1(2(0(z0)))))))))), 0'(2(1(2(1(2(1(2(0(z0))))))))), 2'(1(2(1(2(1(2(0(z0)))))))), 1'(2(1(2(1(2(0(z0))))))), 2'(1(2(1(2(0(z0)))))), 1'(2(1(2(0(z0))))), 2'(1(2(0(z0)))), 1'(2(0(z0))), 2'(0(z0)), 0'(z0)) 2'(c_2(c_1(c_1(c_2(c_2(c_1(c_2(c_1(c_1(c_1(c_0(c_0(c_2(c_1(c_1(c_0(c_2(c_0(c_0(c_1(c_1(c_2(z0))))))))))))))))))))))) -> c46(2'(1(1(1(2(2(2(1(1(0(2(2(1(0(1(0(2(2(1(2(0(0(0(1(2(1(2(z0))))))))))))))))))))))))))), 1'(1(1(2(2(2(1(1(0(2(2(1(0(1(0(2(2(1(2(0(0(0(1(2(1(2(z0)))))))))))))))))))))))))), 1'(1(2(2(2(1(1(0(2(2(1(0(1(0(2(2(1(2(0(0(0(1(2(1(2(z0))))))))))))))))))))))))), 1'(2(2(2(1(1(0(2(2(1(0(1(0(2(2(1(2(0(0(0(1(2(1(2(z0)))))))))))))))))))))))), 2'(2(2(1(1(0(2(2(1(0(1(0(2(2(1(2(0(0(0(1(2(1(2(z0))))))))))))))))))))))), 2'(2(1(1(0(2(2(1(0(1(0(2(2(1(2(0(0(0(1(2(1(2(z0)))))))))))))))))))))), 2'(1(1(0(2(2(1(0(1(0(2(2(1(2(0(0(0(1(2(1(2(z0))))))))))))))))))))), 1'(1(0(2(2(1(0(1(0(2(2(1(2(0(0(0(1(2(1(2(z0)))))))))))))))))))), 1'(0(2(2(1(0(1(0(2(2(1(2(0(0(0(1(2(1(2(z0))))))))))))))))))), 0'(2(2(1(0(1(0(2(2(1(2(0(0(0(1(2(1(2(z0)))))))))))))))))), 2'(2(1(0(1(0(2(2(1(2(0(0(0(1(2(1(2(z0))))))))))))))))), 2'(1(0(1(0(2(2(1(2(0(0(0(1(2(1(2(z0)))))))))))))))), 1'(0(1(0(2(2(1(2(0(0(0(1(2(1(2(z0))))))))))))))), 0'(1(0(2(2(1(2(0(0(0(1(2(1(2(z0)))))))))))))), 1'(0(2(2(1(2(0(0(0(1(2(1(2(z0))))))))))))), 0'(2(2(1(2(0(0(0(1(2(1(2(z0)))))))))))), 2'(2(1(2(0(0(0(1(2(1(2(z0))))))))))), 2'(1(2(0(0(0(1(2(1(2(z0)))))))))), 1'(2(0(0(0(1(2(1(2(z0))))))))), 2'(0(0(0(1(2(1(2(z0)))))))), 0'(0(0(1(2(1(2(z0))))))), 0'(0(1(2(1(2(z0)))))), 0'(1(2(1(2(z0))))), 1'(2(1(2(z0)))), 2'(1(2(z0))), 1'(2(z0)), 2'(z0)) 2'(c_2(c_0(c_1(c_1(c_0(c_0(c_1(c_2(c_1(c_0(c_2(c_1(c_2(c_2(c_2(c_1(c_0(c_0(c_2(c_2(c_2(c_0(z0))))))))))))))))))))))) -> c47(2'(2(1(0(0(0(0(2(2(1(1(2(2(1(0(2(1(2(1(2(2(1(2(2(2(0(0(z0))))))))))))))))))))))))))), 2'(1(0(0(0(0(2(2(1(1(2(2(1(0(2(1(2(1(2(2(1(2(2(2(0(0(z0)))))))))))))))))))))))))), 1'(0(0(0(0(2(2(1(1(2(2(1(0(2(1(2(1(2(2(1(2(2(2(0(0(z0))))))))))))))))))))))))), 0'(0(0(0(2(2(1(1(2(2(1(0(2(1(2(1(2(2(1(2(2(2(0(0(z0)))))))))))))))))))))))), 0'(0(0(2(2(1(1(2(2(1(0(2(1(2(1(2(2(1(2(2(2(0(0(z0))))))))))))))))))))))), 0'(0(2(2(1(1(2(2(1(0(2(1(2(1(2(2(1(2(2(2(0(0(z0)))))))))))))))))))))), 0'(2(2(1(1(2(2(1(0(2(1(2(1(2(2(1(2(2(2(0(0(z0))))))))))))))))))))), 2'(2(1(1(2(2(1(0(2(1(2(1(2(2(1(2(2(2(0(0(z0)))))))))))))))))))), 2'(1(1(2(2(1(0(2(1(2(1(2(2(1(2(2(2(0(0(z0))))))))))))))))))), 1'(1(2(2(1(0(2(1(2(1(2(2(1(2(2(2(0(0(z0)))))))))))))))))), 1'(2(2(1(0(2(1(2(1(2(2(1(2(2(2(0(0(z0))))))))))))))))), 2'(2(1(0(2(1(2(1(2(2(1(2(2(2(0(0(z0)))))))))))))))), 2'(1(0(2(1(2(1(2(2(1(2(2(2(0(0(z0))))))))))))))), 1'(0(2(1(2(1(2(2(1(2(2(2(0(0(z0)))))))))))))), 0'(2(1(2(1(2(2(1(2(2(2(0(0(z0))))))))))))), 2'(1(2(1(2(2(1(2(2(2(0(0(z0)))))))))))), 1'(2(1(2(2(1(2(2(2(0(0(z0))))))))))), 2'(1(2(2(1(2(2(2(0(0(z0)))))))))), 1'(2(2(1(2(2(2(0(0(z0))))))))), 2'(2(1(2(2(2(0(0(z0)))))))), 2'(1(2(2(2(0(0(z0))))))), 1'(2(2(2(0(0(z0)))))), 2'(2(2(0(0(z0))))), 2'(2(0(0(z0)))), 2'(0(0(z0))), 0'(0(z0)), 0'(z0)) 2'(c_1(c_2(c_1(c_0(c_2(c_1(c_2(c_0(c_0(c_0(c_0(c_2(c_0(c_0(c_0(c_2(c_2(c_0(c_0(c_0(c_0(c_1(z0))))))))))))))))))))))) -> c48(2'(1(2(1(2(0(0(2(1(0(0(2(2(0(1(0(2(1(2(1(2(2(1(2(1(1(2(z0))))))))))))))))))))))))))), 1'(2(1(2(0(0(2(1(0(0(2(2(0(1(0(2(1(2(1(2(2(1(2(1(1(2(z0)))))))))))))))))))))))))), 2'(1(2(0(0(2(1(0(0(2(2(0(1(0(2(1(2(1(2(2(1(2(1(1(2(z0))))))))))))))))))))))))), 1'(2(0(0(2(1(0(0(2(2(0(1(0(2(1(2(1(2(2(1(2(1(1(2(z0)))))))))))))))))))))))), 2'(0(0(2(1(0(0(2(2(0(1(0(2(1(2(1(2(2(1(2(1(1(2(z0))))))))))))))))))))))), 0'(0(2(1(0(0(2(2(0(1(0(2(1(2(1(2(2(1(2(1(1(2(z0)))))))))))))))))))))), 0'(2(1(0(0(2(2(0(1(0(2(1(2(1(2(2(1(2(1(1(2(z0))))))))))))))))))))), 2'(1(0(0(2(2(0(1(0(2(1(2(1(2(2(1(2(1(1(2(z0)))))))))))))))))))), 1'(0(0(2(2(0(1(0(2(1(2(1(2(2(1(2(1(1(2(z0))))))))))))))))))), 0'(0(2(2(0(1(0(2(1(2(1(2(2(1(2(1(1(2(z0)))))))))))))))))), 0'(2(2(0(1(0(2(1(2(1(2(2(1(2(1(1(2(z0))))))))))))))))), 2'(2(0(1(0(2(1(2(1(2(2(1(2(1(1(2(z0)))))))))))))))), 2'(0(1(0(2(1(2(1(2(2(1(2(1(1(2(z0))))))))))))))), 0'(1(0(2(1(2(1(2(2(1(2(1(1(2(z0)))))))))))))), 1'(0(2(1(2(1(2(2(1(2(1(1(2(z0))))))))))))), 0'(2(1(2(1(2(2(1(2(1(1(2(z0)))))))))))), 2'(1(2(1(2(2(1(2(1(1(2(z0))))))))))), 1'(2(1(2(2(1(2(1(1(2(z0)))))))))), 2'(1(2(2(1(2(1(1(2(z0))))))))), 1'(2(2(1(2(1(1(2(z0)))))))), 2'(2(1(2(1(1(2(z0))))))), 2'(1(2(1(1(2(z0)))))), 1'(2(1(1(2(z0))))), 2'(1(1(2(z0)))), 1'(1(2(z0))), 1'(2(z0)), 2'(z0)) ENCODE_0(z0) -> c6(0'(encArg(z0))) ENCODE_1(z0) -> c6(1'(encArg(z0))) ENCODE_2(z0) -> c6(2'(encArg(z0))) ENCARG(cons_0(cons_0(z0))) -> c(0'(0(encArg(z0))), ENCARG(cons_0(z0))) ENCARG(cons_0(cons_1(z0))) -> c(0'(1(encArg(z0))), ENCARG(cons_1(z0))) ENCARG(cons_0(cons_2(z0))) -> c(0'(2(encArg(z0))), ENCARG(cons_2(z0))) ENCARG(cons_1(cons_0(z0))) -> c1(1'(0(encArg(z0))), ENCARG(cons_0(z0))) ENCARG(cons_1(cons_1(z0))) -> c1(1'(1(encArg(z0))), ENCARG(cons_1(z0))) ENCARG(cons_1(cons_2(z0))) -> c1(1'(2(encArg(z0))), ENCARG(cons_2(z0))) ENCARG(cons_2(cons_0(z0))) -> c2(2'(0(encArg(z0))), ENCARG(cons_0(z0))) ENCARG(cons_2(cons_1(z0))) -> c2(2'(1(encArg(z0))), ENCARG(cons_1(z0))) ENCARG(cons_2(cons_2(z0))) -> c2(2'(2(encArg(z0))), ENCARG(cons_2(z0))) S tuples: 0'(c_0(c_2(c_0(c_2(c_2(c_1(c_2(c_1(c_1(c_2(c_1(c_1(c_2(c_1(c_0(c_0(c_0(c_0(c_1(c_1(c_2(c_1(z0))))))))))))))))))))))) -> c7(0'(0(1(2(2(1(1(2(2(1(1(2(2(2(2(0(1(2(1(2(1(1(1(0(1(2(2(z0))))))))))))))))))))))))))), 0'(1(2(2(1(1(2(2(1(1(2(2(2(2(0(1(2(1(2(1(1(1(0(1(2(2(z0)))))))))))))))))))))))))), 1'(2(2(1(1(2(2(1(1(2(2(2(2(0(1(2(1(2(1(1(1(0(1(2(2(z0))))))))))))))))))))))))), 2'(2(1(1(2(2(1(1(2(2(2(2(0(1(2(1(2(1(1(1(0(1(2(2(z0)))))))))))))))))))))))), 2'(1(1(2(2(1(1(2(2(2(2(0(1(2(1(2(1(1(1(0(1(2(2(z0))))))))))))))))))))))), 1'(1(2(2(1(1(2(2(2(2(0(1(2(1(2(1(1(1(0(1(2(2(z0)))))))))))))))))))))), 1'(2(2(1(1(2(2(2(2(0(1(2(1(2(1(1(1(0(1(2(2(z0))))))))))))))))))))), 2'(2(1(1(2(2(2(2(0(1(2(1(2(1(1(1(0(1(2(2(z0)))))))))))))))))))), 2'(1(1(2(2(2(2(0(1(2(1(2(1(1(1(0(1(2(2(z0))))))))))))))))))), 1'(1(2(2(2(2(0(1(2(1(2(1(1(1(0(1(2(2(z0)))))))))))))))))), 1'(2(2(2(2(0(1(2(1(2(1(1(1(0(1(2(2(z0))))))))))))))))), 2'(2(2(2(0(1(2(1(2(1(1(1(0(1(2(2(z0)))))))))))))))), 2'(2(2(0(1(2(1(2(1(1(1(0(1(2(2(z0))))))))))))))), 2'(2(0(1(2(1(2(1(1(1(0(1(2(2(z0)))))))))))))), 2'(0(1(2(1(2(1(1(1(0(1(2(2(z0))))))))))))), 0'(1(2(1(2(1(1(1(0(1(2(2(z0)))))))))))), 1'(2(1(2(1(1(1(0(1(2(2(z0))))))))))), 2'(1(2(1(1(1(0(1(2(2(z0)))))))))), 1'(2(1(1(1(0(1(2(2(z0))))))))), 2'(1(1(1(0(1(2(2(z0)))))))), 1'(1(1(0(1(2(2(z0))))))), 1'(1(0(1(2(2(z0)))))), 1'(0(1(2(2(z0))))), 0'(1(2(2(z0)))), 1'(2(2(z0))), 2'(2(z0)), 2'(z0)) 0'(c_1(c_1(c_1(c_2(c_2(c_1(c_0(c_0(c_2(c_2(c_2(c_2(c_0(c_2(c_0(c_0(c_0(c_0(c_1(c_0(c_0(c_2(z0))))))))))))))))))))))) -> c8(0'(2(1(1(1(1(2(2(1(1(0(1(1(2(1(2(1(0(0(1(2(2(1(0(0(2(2(z0))))))))))))))))))))))))))), 2'(1(1(1(1(2(2(1(1(0(1(1(2(1(2(1(0(0(1(2(2(1(0(0(2(2(z0)))))))))))))))))))))))))), 1'(1(1(1(2(2(1(1(0(1(1(2(1(2(1(0(0(1(2(2(1(0(0(2(2(z0))))))))))))))))))))))))), 1'(1(1(2(2(1(1(0(1(1(2(1(2(1(0(0(1(2(2(1(0(0(2(2(z0)))))))))))))))))))))))), 1'(1(2(2(1(1(0(1(1(2(1(2(1(0(0(1(2(2(1(0(0(2(2(z0))))))))))))))))))))))), 1'(2(2(1(1(0(1(1(2(1(2(1(0(0(1(2(2(1(0(0(2(2(z0)))))))))))))))))))))), 2'(2(1(1(0(1(1(2(1(2(1(0(0(1(2(2(1(0(0(2(2(z0))))))))))))))))))))), 2'(1(1(0(1(1(2(1(2(1(0(0(1(2(2(1(0(0(2(2(z0)))))))))))))))))))), 1'(1(0(1(1(2(1(2(1(0(0(1(2(2(1(0(0(2(2(z0))))))))))))))))))), 1'(0(1(1(2(1(2(1(0(0(1(2(2(1(0(0(2(2(z0)))))))))))))))))), 0'(1(1(2(1(2(1(0(0(1(2(2(1(0(0(2(2(z0))))))))))))))))), 1'(1(2(1(2(1(0(0(1(2(2(1(0(0(2(2(z0)))))))))))))))), 1'(2(1(2(1(0(0(1(2(2(1(0(0(2(2(z0))))))))))))))), 2'(1(2(1(0(0(1(2(2(1(0(0(2(2(z0)))))))))))))), 1'(2(1(0(0(1(2(2(1(0(0(2(2(z0))))))))))))), 2'(1(0(0(1(2(2(1(0(0(2(2(z0)))))))))))), 1'(0(0(1(2(2(1(0(0(2(2(z0))))))))))), 0'(0(1(2(2(1(0(0(2(2(z0)))))))))), 0'(1(2(2(1(0(0(2(2(z0))))))))), 1'(2(2(1(0(0(2(2(z0)))))))), 2'(2(1(0(0(2(2(z0))))))), 2'(1(0(0(2(2(z0)))))), 1'(0(0(2(2(z0))))), 0'(0(2(2(z0)))), 0'(2(2(z0))), 2'(2(z0)), 2'(z0)) 0'(c_1(c_1(c_0(c_1(c_1(c_1(c_2(c_2(c_0(c_2(c_0(c_1(c_2(c_2(c_2(c_0(c_1(c_2(c_0(c_1(c_0(c_2(z0))))))))))))))))))))))) -> c9(0'(2(0(1(0(2(0(2(2(2(1(2(1(1(2(2(2(2(2(2(2(1(0(0(0(2(2(z0))))))))))))))))))))))))))), 2'(0(1(0(2(0(2(2(2(1(2(1(1(2(2(2(2(2(2(2(1(0(0(0(2(2(z0)))))))))))))))))))))))))), 0'(1(0(2(0(2(2(2(1(2(1(1(2(2(2(2(2(2(2(1(0(0(0(2(2(z0))))))))))))))))))))))))), 1'(0(2(0(2(2(2(1(2(1(1(2(2(2(2(2(2(2(1(0(0(0(2(2(z0)))))))))))))))))))))))), 0'(2(0(2(2(2(1(2(1(1(2(2(2(2(2(2(2(1(0(0(0(2(2(z0))))))))))))))))))))))), 2'(0(2(2(2(1(2(1(1(2(2(2(2(2(2(2(1(0(0(0(2(2(z0)))))))))))))))))))))), 0'(2(2(2(1(2(1(1(2(2(2(2(2(2(2(1(0(0(0(2(2(z0))))))))))))))))))))), 2'(2(2(1(2(1(1(2(2(2(2(2(2(2(1(0(0(0(2(2(z0)))))))))))))))))))), 2'(2(1(2(1(1(2(2(2(2(2(2(2(1(0(0(0(2(2(z0))))))))))))))))))), 2'(1(2(1(1(2(2(2(2(2(2(2(1(0(0(0(2(2(z0)))))))))))))))))), 1'(2(1(1(2(2(2(2(2(2(2(1(0(0(0(2(2(z0))))))))))))))))), 2'(1(1(2(2(2(2(2(2(2(1(0(0(0(2(2(z0)))))))))))))))), 1'(1(2(2(2(2(2(2(2(1(0(0(0(2(2(z0))))))))))))))), 1'(2(2(2(2(2(2(2(1(0(0(0(2(2(z0)))))))))))))), 2'(2(2(2(2(2(2(1(0(0(0(2(2(z0))))))))))))), 2'(2(2(2(2(2(1(0(0(0(2(2(z0)))))))))))), 2'(2(2(2(2(1(0(0(0(2(2(z0))))))))))), 2'(2(2(2(1(0(0(0(2(2(z0)))))))))), 2'(2(2(1(0(0(0(2(2(z0))))))))), 2'(2(1(0(0(0(2(2(z0)))))))), 2'(1(0(0(0(2(2(z0))))))), 1'(0(0(0(2(2(z0)))))), 0'(0(0(2(2(z0))))), 0'(0(2(2(z0)))), 0'(2(2(z0))), 2'(2(z0)), 2'(z0)) 0'(c_1(c_0(c_0(c_1(c_2(c_2(c_1(c_0(c_1(c_2(c_1(c_2(c_0(c_1(c_0(c_2(c_2(c_0(c_1(c_2(c_1(c_0(z0))))))))))))))))))))))) -> c10(0'(0(0(1(2(2(2(2(2(2(2(0(0(0(0(1(2(1(2(2(2(1(0(2(0(2(0(z0))))))))))))))))))))))))))), 0'(0(1(2(2(2(2(2(2(2(0(0(0(0(1(2(1(2(2(2(1(0(2(0(2(0(z0)))))))))))))))))))))))))), 0'(1(2(2(2(2(2(2(2(0(0(0(0(1(2(1(2(2(2(1(0(2(0(2(0(z0))))))))))))))))))))))))), 1'(2(2(2(2(2(2(2(0(0(0(0(1(2(1(2(2(2(1(0(2(0(2(0(z0)))))))))))))))))))))))), 2'(2(2(2(2(2(2(0(0(0(0(1(2(1(2(2(2(1(0(2(0(2(0(z0))))))))))))))))))))))), 2'(2(2(2(2(2(0(0(0(0(1(2(1(2(2(2(1(0(2(0(2(0(z0)))))))))))))))))))))), 2'(2(2(2(2(0(0(0(0(1(2(1(2(2(2(1(0(2(0(2(0(z0))))))))))))))))))))), 2'(2(2(2(0(0(0(0(1(2(1(2(2(2(1(0(2(0(2(0(z0)))))))))))))))))))), 2'(2(2(0(0(0(0(1(2(1(2(2(2(1(0(2(0(2(0(z0))))))))))))))))))), 2'(2(0(0(0(0(1(2(1(2(2(2(1(0(2(0(2(0(z0)))))))))))))))))), 2'(0(0(0(0(1(2(1(2(2(2(1(0(2(0(2(0(z0))))))))))))))))), 0'(0(0(0(1(2(1(2(2(2(1(0(2(0(2(0(z0)))))))))))))))), 0'(0(0(1(2(1(2(2(2(1(0(2(0(2(0(z0))))))))))))))), 0'(0(1(2(1(2(2(2(1(0(2(0(2(0(z0)))))))))))))), 0'(1(2(1(2(2(2(1(0(2(0(2(0(z0))))))))))))), 1'(2(1(2(2(2(1(0(2(0(2(0(z0)))))))))))), 2'(1(2(2(2(1(0(2(0(2(0(z0))))))))))), 1'(2(2(2(1(0(2(0(2(0(z0)))))))))), 2'(2(2(1(0(2(0(2(0(z0))))))))), 2'(2(1(0(2(0(2(0(z0)))))))), 2'(1(0(2(0(2(0(z0))))))), 1'(0(2(0(2(0(z0)))))), 0'(2(0(2(0(z0))))), 2'(0(2(0(z0)))), 0'(2(0(z0))), 2'(0(z0)), 0'(z0)) 0'(c_0(c_1(c_2(c_0(c_1(c_0(c_0(c_2(c_0(c_1(c_1(c_0(c_1(c_2(c_1(c_1(c_2(c_2(c_1(c_1(c_0(c_2(z0))))))))))))))))))))))) -> c11(0'(2(2(2(0(1(1(2(1(2(2(1(2(1(0(2(2(2(1(2(1(1(0(0(1(0(2(z0))))))))))))))))))))))))))), 2'(2(2(0(1(1(2(1(2(2(1(2(1(0(2(2(2(1(2(1(1(0(0(1(0(2(z0)))))))))))))))))))))))))), 2'(2(0(1(1(2(1(2(2(1(2(1(0(2(2(2(1(2(1(1(0(0(1(0(2(z0))))))))))))))))))))))))), 2'(0(1(1(2(1(2(2(1(2(1(0(2(2(2(1(2(1(1(0(0(1(0(2(z0)))))))))))))))))))))))), 0'(1(1(2(1(2(2(1(2(1(0(2(2(2(1(2(1(1(0(0(1(0(2(z0))))))))))))))))))))))), 1'(1(2(1(2(2(1(2(1(0(2(2(2(1(2(1(1(0(0(1(0(2(z0)))))))))))))))))))))), 1'(2(1(2(2(1(2(1(0(2(2(2(1(2(1(1(0(0(1(0(2(z0))))))))))))))))))))), 2'(1(2(2(1(2(1(0(2(2(2(1(2(1(1(0(0(1(0(2(z0)))))))))))))))))))), 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1'(0(2(1(0(0(1(0(1(1(2(1(2(2(2(z0))))))))))))))), 0'(2(1(0(0(1(0(1(1(2(1(2(2(2(z0)))))))))))))), 2'(1(0(0(1(0(1(1(2(1(2(2(2(z0))))))))))))), 1'(0(0(1(0(1(1(2(1(2(2(2(z0)))))))))))), 0'(0(1(0(1(1(2(1(2(2(2(z0))))))))))), 0'(1(0(1(1(2(1(2(2(2(z0)))))))))), 1'(0(1(1(2(1(2(2(2(z0))))))))), 0'(1(1(2(1(2(2(2(z0)))))))), 1'(1(2(1(2(2(2(z0))))))), 1'(2(1(2(2(2(z0)))))), 2'(1(2(2(2(z0))))), 1'(2(2(2(z0)))), 2'(2(2(z0))), 2'(2(z0)), 2'(z0)) 2'(c_2(c_0(c_0(c_1(c_0(c_1(c_2(c_2(c_2(c_1(c_1(c_0(c_0(c_1(c_2(c_2(c_1(c_2(c_0(c_1(c_2(c_1(z0))))))))))))))))))))))) -> c45(2'(2(2(2(0(2(0(2(2(1(2(1(0(1(1(2(2(0(0(2(1(2(1(2(1(2(0(z0))))))))))))))))))))))))))), 2'(2(2(0(2(0(2(2(1(2(1(0(1(1(2(2(0(0(2(1(2(1(2(1(2(0(z0)))))))))))))))))))))))))), 2'(2(0(2(0(2(2(1(2(1(0(1(1(2(2(0(0(2(1(2(1(2(1(2(0(z0))))))))))))))))))))))))), 2'(0(2(0(2(2(1(2(1(0(1(1(2(2(0(0(2(1(2(1(2(1(2(0(z0)))))))))))))))))))))))), 0'(2(0(2(2(1(2(1(0(1(1(2(2(0(0(2(1(2(1(2(1(2(0(z0))))))))))))))))))))))), 2'(0(2(2(1(2(1(0(1(1(2(2(0(0(2(1(2(1(2(1(2(0(z0)))))))))))))))))))))), 0'(2(2(1(2(1(0(1(1(2(2(0(0(2(1(2(1(2(1(2(0(z0))))))))))))))))))))), 2'(2(1(2(1(0(1(1(2(2(0(0(2(1(2(1(2(1(2(0(z0)))))))))))))))))))), 2'(1(2(1(0(1(1(2(2(0(0(2(1(2(1(2(1(2(0(z0))))))))))))))))))), 1'(2(1(0(1(1(2(2(0(0(2(1(2(1(2(1(2(0(z0)))))))))))))))))), 2'(1(0(1(1(2(2(0(0(2(1(2(1(2(1(2(0(z0))))))))))))))))), 1'(0(1(1(2(2(0(0(2(1(2(1(2(1(2(0(z0)))))))))))))))), 0'(1(1(2(2(0(0(2(1(2(1(2(1(2(0(z0))))))))))))))), 1'(1(2(2(0(0(2(1(2(1(2(1(2(0(z0)))))))))))))), 1'(2(2(0(0(2(1(2(1(2(1(2(0(z0))))))))))))), 2'(2(0(0(2(1(2(1(2(1(2(0(z0)))))))))))), 2'(0(0(2(1(2(1(2(1(2(0(z0))))))))))), 0'(0(2(1(2(1(2(1(2(0(z0)))))))))), 0'(2(1(2(1(2(1(2(0(z0))))))))), 2'(1(2(1(2(1(2(0(z0)))))))), 1'(2(1(2(1(2(0(z0))))))), 2'(1(2(1(2(0(z0)))))), 1'(2(1(2(0(z0))))), 2'(1(2(0(z0)))), 1'(2(0(z0))), 2'(0(z0)), 0'(z0)) 2'(c_2(c_1(c_1(c_2(c_2(c_1(c_2(c_1(c_1(c_1(c_0(c_0(c_2(c_1(c_1(c_0(c_2(c_0(c_0(c_1(c_1(c_2(z0))))))))))))))))))))))) -> c46(2'(1(1(1(2(2(2(1(1(0(2(2(1(0(1(0(2(2(1(2(0(0(0(1(2(1(2(z0))))))))))))))))))))))))))), 1'(1(1(2(2(2(1(1(0(2(2(1(0(1(0(2(2(1(2(0(0(0(1(2(1(2(z0)))))))))))))))))))))))))), 1'(1(2(2(2(1(1(0(2(2(1(0(1(0(2(2(1(2(0(0(0(1(2(1(2(z0))))))))))))))))))))))))), 1'(2(2(2(1(1(0(2(2(1(0(1(0(2(2(1(2(0(0(0(1(2(1(2(z0)))))))))))))))))))))))), 2'(2(2(1(1(0(2(2(1(0(1(0(2(2(1(2(0(0(0(1(2(1(2(z0))))))))))))))))))))))), 2'(2(1(1(0(2(2(1(0(1(0(2(2(1(2(0(0(0(1(2(1(2(z0)))))))))))))))))))))), 2'(1(1(0(2(2(1(0(1(0(2(2(1(2(0(0(0(1(2(1(2(z0))))))))))))))))))))), 1'(1(0(2(2(1(0(1(0(2(2(1(2(0(0(0(1(2(1(2(z0)))))))))))))))))))), 1'(0(2(2(1(0(1(0(2(2(1(2(0(0(0(1(2(1(2(z0))))))))))))))))))), 0'(2(2(1(0(1(0(2(2(1(2(0(0(0(1(2(1(2(z0)))))))))))))))))), 2'(2(1(0(1(0(2(2(1(2(0(0(0(1(2(1(2(z0))))))))))))))))), 2'(1(0(1(0(2(2(1(2(0(0(0(1(2(1(2(z0)))))))))))))))), 1'(0(1(0(2(2(1(2(0(0(0(1(2(1(2(z0))))))))))))))), 0'(1(0(2(2(1(2(0(0(0(1(2(1(2(z0)))))))))))))), 1'(0(2(2(1(2(0(0(0(1(2(1(2(z0))))))))))))), 0'(2(2(1(2(0(0(0(1(2(1(2(z0)))))))))))), 2'(2(1(2(0(0(0(1(2(1(2(z0))))))))))), 2'(1(2(0(0(0(1(2(1(2(z0)))))))))), 1'(2(0(0(0(1(2(1(2(z0))))))))), 2'(0(0(0(1(2(1(2(z0)))))))), 0'(0(0(1(2(1(2(z0))))))), 0'(0(1(2(1(2(z0)))))), 0'(1(2(1(2(z0))))), 1'(2(1(2(z0)))), 2'(1(2(z0))), 1'(2(z0)), 2'(z0)) 2'(c_2(c_0(c_1(c_1(c_0(c_0(c_1(c_2(c_1(c_0(c_2(c_1(c_2(c_2(c_2(c_1(c_0(c_0(c_2(c_2(c_2(c_0(z0))))))))))))))))))))))) -> c47(2'(2(1(0(0(0(0(2(2(1(1(2(2(1(0(2(1(2(1(2(2(1(2(2(2(0(0(z0))))))))))))))))))))))))))), 2'(1(0(0(0(0(2(2(1(1(2(2(1(0(2(1(2(1(2(2(1(2(2(2(0(0(z0)))))))))))))))))))))))))), 1'(0(0(0(0(2(2(1(1(2(2(1(0(2(1(2(1(2(2(1(2(2(2(0(0(z0))))))))))))))))))))))))), 0'(0(0(0(2(2(1(1(2(2(1(0(2(1(2(1(2(2(1(2(2(2(0(0(z0)))))))))))))))))))))))), 0'(0(0(2(2(1(1(2(2(1(0(2(1(2(1(2(2(1(2(2(2(0(0(z0))))))))))))))))))))))), 0'(0(2(2(1(1(2(2(1(0(2(1(2(1(2(2(1(2(2(2(0(0(z0)))))))))))))))))))))), 0'(2(2(1(1(2(2(1(0(2(1(2(1(2(2(1(2(2(2(0(0(z0))))))))))))))))))))), 2'(2(1(1(2(2(1(0(2(1(2(1(2(2(1(2(2(2(0(0(z0)))))))))))))))))))), 2'(1(1(2(2(1(0(2(1(2(1(2(2(1(2(2(2(0(0(z0))))))))))))))))))), 1'(1(2(2(1(0(2(1(2(1(2(2(1(2(2(2(0(0(z0)))))))))))))))))), 1'(2(2(1(0(2(1(2(1(2(2(1(2(2(2(0(0(z0))))))))))))))))), 2'(2(1(0(2(1(2(1(2(2(1(2(2(2(0(0(z0)))))))))))))))), 2'(1(0(2(1(2(1(2(2(1(2(2(2(0(0(z0))))))))))))))), 1'(0(2(1(2(1(2(2(1(2(2(2(0(0(z0)))))))))))))), 0'(2(1(2(1(2(2(1(2(2(2(0(0(z0))))))))))))), 2'(1(2(1(2(2(1(2(2(2(0(0(z0)))))))))))), 1'(2(1(2(2(1(2(2(2(0(0(z0))))))))))), 2'(1(2(2(1(2(2(2(0(0(z0)))))))))), 1'(2(2(1(2(2(2(0(0(z0))))))))), 2'(2(1(2(2(2(0(0(z0)))))))), 2'(1(2(2(2(0(0(z0))))))), 1'(2(2(2(0(0(z0)))))), 2'(2(2(0(0(z0))))), 2'(2(0(0(z0)))), 2'(0(0(z0))), 0'(0(z0)), 0'(z0)) 2'(c_1(c_2(c_1(c_0(c_2(c_1(c_2(c_0(c_0(c_0(c_0(c_2(c_0(c_0(c_0(c_2(c_2(c_0(c_0(c_0(c_0(c_1(z0))))))))))))))))))))))) -> c48(2'(1(2(1(2(0(0(2(1(0(0(2(2(0(1(0(2(1(2(1(2(2(1(2(1(1(2(z0))))))))))))))))))))))))))), 1'(2(1(2(0(0(2(1(0(0(2(2(0(1(0(2(1(2(1(2(2(1(2(1(1(2(z0)))))))))))))))))))))))))), 2'(1(2(0(0(2(1(0(0(2(2(0(1(0(2(1(2(1(2(2(1(2(1(1(2(z0))))))))))))))))))))))))), 1'(2(0(0(2(1(0(0(2(2(0(1(0(2(1(2(1(2(2(1(2(1(1(2(z0)))))))))))))))))))))))), 2'(0(0(2(1(0(0(2(2(0(1(0(2(1(2(1(2(2(1(2(1(1(2(z0))))))))))))))))))))))), 0'(0(2(1(0(0(2(2(0(1(0(2(1(2(1(2(2(1(2(1(1(2(z0)))))))))))))))))))))), 0'(2(1(0(0(2(2(0(1(0(2(1(2(1(2(2(1(2(1(1(2(z0))))))))))))))))))))), 2'(1(0(0(2(2(0(1(0(2(1(2(1(2(2(1(2(1(1(2(z0)))))))))))))))))))), 1'(0(0(2(2(0(1(0(2(1(2(1(2(2(1(2(1(1(2(z0))))))))))))))))))), 0'(0(2(2(0(1(0(2(1(2(1(2(2(1(2(1(1(2(z0)))))))))))))))))), 0'(2(2(0(1(0(2(1(2(1(2(2(1(2(1(1(2(z0))))))))))))))))), 2'(2(0(1(0(2(1(2(1(2(2(1(2(1(1(2(z0)))))))))))))))), 2'(0(1(0(2(1(2(1(2(2(1(2(1(1(2(z0))))))))))))))), 0'(1(0(2(1(2(1(2(2(1(2(1(1(2(z0)))))))))))))), 1'(0(2(1(2(1(2(2(1(2(1(1(2(z0))))))))))))), 0'(2(1(2(1(2(2(1(2(1(1(2(z0)))))))))))), 2'(1(2(1(2(2(1(2(1(1(2(z0))))))))))), 1'(2(1(2(2(1(2(1(1(2(z0)))))))))), 2'(1(2(2(1(2(1(1(2(z0))))))))), 1'(2(2(1(2(1(1(2(z0)))))))), 2'(2(1(2(1(1(2(z0))))))), 2'(1(2(1(1(2(z0)))))), 1'(2(1(1(2(z0))))), 2'(1(1(2(z0)))), 1'(1(2(z0))), 1'(2(z0)), 2'(z0)) K tuples:none Defined Rule Symbols: encArg_1, 0_1, 1_1, 2_1 Defined Pair Symbols: 0'_1, 1'_1, 2'_1, ENCODE_0_1, ENCODE_1_1, ENCODE_2_1, ENCARG_1 Compound Symbols: c7_27, c8_27, c9_27, c10_27, c11_27, c12_27, c13_27, c14_27, c15_27, c16_27, c18_27, c19_27, c20_27, c21_27, c22_27, c23_27, c24_27, c25_27, c26_27, c27_27, c28_27, c30_27, c31_27, c32_27, c33_27, c34_27, c35_27, c36_27, c37_27, c38_27, c39_27, c40_27, c41_27, c42_27, c43_27, c44_27, c45_27, c46_27, c47_27, c48_27, c6_1, c_2, c1_2, c2_2 ---------------------------------------- (55) CdtNarrowingProof (BOTH BOUNDS(ID, ID)) Use narrowing to replace 0'(c_0(c_2(c_0(c_2(c_2(c_1(c_2(c_1(c_1(c_2(c_1(c_1(c_2(c_1(c_0(c_0(c_0(c_0(c_1(c_1(c_2(c_1(z0))))))))))))))))))))))) -> c7(0'(0(1(2(2(1(1(2(2(1(1(2(2(2(2(0(1(2(1(2(1(1(1(0(1(2(2(z0))))))))))))))))))))))))))), 0'(1(2(2(1(1(2(2(1(1(2(2(2(2(0(1(2(1(2(1(1(1(0(1(2(2(z0)))))))))))))))))))))))))), 1'(2(2(1(1(2(2(1(1(2(2(2(2(0(1(2(1(2(1(1(1(0(1(2(2(z0))))))))))))))))))))))))), 2'(2(1(1(2(2(1(1(2(2(2(2(0(1(2(1(2(1(1(1(0(1(2(2(z0)))))))))))))))))))))))), 2'(1(1(2(2(1(1(2(2(2(2(0(1(2(1(2(1(1(1(0(1(2(2(z0))))))))))))))))))))))), 1'(1(2(2(1(1(2(2(2(2(0(1(2(1(2(1(1(1(0(1(2(2(z0)))))))))))))))))))))), 1'(2(2(1(1(2(2(2(2(0(1(2(1(2(1(1(1(0(1(2(2(z0))))))))))))))))))))), 2'(2(1(1(2(2(2(2(0(1(2(1(2(1(1(1(0(1(2(2(z0)))))))))))))))))))), 2'(1(1(2(2(2(2(0(1(2(1(2(1(1(1(0(1(2(2(z0))))))))))))))))))), 1'(1(2(2(2(2(0(1(2(1(2(1(1(1(0(1(2(2(z0)))))))))))))))))), 1'(2(2(2(2(0(1(2(1(2(1(1(1(0(1(2(2(z0))))))))))))))))), 2'(2(2(2(0(1(2(1(2(1(1(1(0(1(2(2(z0)))))))))))))))), 2'(2(2(0(1(2(1(2(1(1(1(0(1(2(2(z0))))))))))))))), 2'(2(0(1(2(1(2(1(1(1(0(1(2(2(z0)))))))))))))), 2'(0(1(2(1(2(1(1(1(0(1(2(2(z0))))))))))))), 0'(1(2(1(2(1(1(1(0(1(2(2(z0)))))))))))), 1'(2(1(2(1(1(1(0(1(2(2(z0))))))))))), 2'(1(2(1(1(1(0(1(2(2(z0)))))))))), 1'(2(1(1(1(0(1(2(2(z0))))))))), 2'(1(1(1(0(1(2(2(z0)))))))), 1'(1(1(0(1(2(2(z0))))))), 1'(1(0(1(2(2(z0)))))), 1'(0(1(2(2(z0))))), 0'(1(2(2(z0)))), 1'(2(2(z0))), 2'(2(z0)), 2'(z0)) by 0'(c_0(c_2(c_0(c_2(c_2(c_1(c_2(c_1(c_1(c_2(c_1(c_1(c_2(c_1(c_0(c_0(c_0(c_0(c_1(c_1(c_2(c_1(x0))))))))))))))))))))))) -> c7(0'(c_0(1(2(2(1(1(2(2(1(1(2(2(2(2(0(1(2(1(2(1(1(1(0(1(2(2(x0))))))))))))))))))))))))))), 0'(1(2(2(1(1(2(2(1(1(2(2(2(2(0(1(2(1(2(1(1(1(0(1(2(2(x0)))))))))))))))))))))))))), 1'(2(2(1(1(2(2(1(1(2(2(2(2(0(1(2(1(2(1(1(1(0(1(2(2(x0))))))))))))))))))))))))), 2'(2(1(1(2(2(1(1(2(2(2(2(0(1(2(1(2(1(1(1(0(1(2(2(x0)))))))))))))))))))))))), 2'(1(1(2(2(1(1(2(2(2(2(0(1(2(1(2(1(1(1(0(1(2(2(x0))))))))))))))))))))))), 1'(1(2(2(1(1(2(2(2(2(0(1(2(1(2(1(1(1(0(1(2(2(x0)))))))))))))))))))))), 1'(2(2(1(1(2(2(2(2(0(1(2(1(2(1(1(1(0(1(2(2(x0))))))))))))))))))))), 2'(2(1(1(2(2(2(2(0(1(2(1(2(1(1(1(0(1(2(2(x0)))))))))))))))))))), 2'(1(1(2(2(2(2(0(1(2(1(2(1(1(1(0(1(2(2(x0))))))))))))))))))), 1'(1(2(2(2(2(0(1(2(1(2(1(1(1(0(1(2(2(x0)))))))))))))))))), 1'(2(2(2(2(0(1(2(1(2(1(1(1(0(1(2(2(x0))))))))))))))))), 2'(2(2(2(0(1(2(1(2(1(1(1(0(1(2(2(x0)))))))))))))))), 2'(2(2(0(1(2(1(2(1(1(1(0(1(2(2(x0))))))))))))))), 2'(2(0(1(2(1(2(1(1(1(0(1(2(2(x0)))))))))))))), 2'(0(1(2(1(2(1(1(1(0(1(2(2(x0))))))))))))), 0'(1(2(1(2(1(1(1(0(1(2(2(x0)))))))))))), 1'(2(1(2(1(1(1(0(1(2(2(x0))))))))))), 2'(1(2(1(1(1(0(1(2(2(x0)))))))))), 1'(2(1(1(1(0(1(2(2(x0))))))))), 2'(1(1(1(0(1(2(2(x0)))))))), 1'(1(1(0(1(2(2(x0))))))), 1'(1(0(1(2(2(x0)))))), 1'(0(1(2(2(x0))))), 0'(1(2(2(x0)))), 1'(2(2(x0))), 2'(2(x0)), 2'(x0)) 0'(c_0(c_2(c_0(c_2(c_2(c_1(c_2(c_1(c_1(c_2(c_1(c_1(c_2(c_1(c_0(c_0(c_0(c_0(c_1(c_1(c_2(c_1(x0))))))))))))))))))))))) -> c7(0'(0(c_1(2(2(1(1(2(2(1(1(2(2(2(2(0(1(2(1(2(1(1(1(0(1(2(2(x0))))))))))))))))))))))))))), 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1'(2(1(1(1(0(1(2(2(c_1(c_2(c_1(c_0(c_2(c_1(c_2(c_0(c_0(c_0(c_0(c_2(c_0(c_0(c_0(c_2(c_2(c_0(c_0(c_0(c_0(c_1(z0))))))))))))))))))))))))))))))), 2'(1(1(1(0(1(2(2(c_1(c_2(c_1(c_0(c_2(c_1(c_2(c_0(c_0(c_0(c_0(c_2(c_0(c_0(c_0(c_2(c_2(c_0(c_0(c_0(c_0(c_1(z0)))))))))))))))))))))))))))))), 1'(1(1(0(1(2(2(c_1(c_2(c_1(c_0(c_2(c_1(c_2(c_0(c_0(c_0(c_0(c_2(c_0(c_0(c_0(c_2(c_2(c_0(c_0(c_0(c_0(c_1(z0))))))))))))))))))))))))))))), 1'(1(0(1(2(2(c_1(c_2(c_1(c_0(c_2(c_1(c_2(c_0(c_0(c_0(c_0(c_2(c_0(c_0(c_0(c_2(c_2(c_0(c_0(c_0(c_0(c_1(z0)))))))))))))))))))))))))))), 1'(0(1(2(2(c_1(c_2(c_1(c_0(c_2(c_1(c_2(c_0(c_0(c_0(c_0(c_2(c_0(c_0(c_0(c_2(c_2(c_0(c_0(c_0(c_0(c_1(z0))))))))))))))))))))))))))), 0'(1(2(2(c_1(c_2(c_1(c_0(c_2(c_1(c_2(c_0(c_0(c_0(c_0(c_2(c_0(c_0(c_0(c_2(c_2(c_0(c_0(c_0(c_0(c_1(z0)))))))))))))))))))))))))), 1'(2(2(c_1(c_2(c_1(c_0(c_2(c_1(c_2(c_0(c_0(c_0(c_0(c_2(c_0(c_0(c_0(c_2(c_2(c_0(c_0(c_0(c_0(c_1(z0))))))))))))))))))))))))), 2'(2(c_1(c_2(c_1(c_0(c_2(c_1(c_2(c_0(c_0(c_0(c_0(c_2(c_0(c_0(c_0(c_2(c_2(c_0(c_0(c_0(c_0(c_1(z0)))))))))))))))))))))))), 2'(c_1(c_2(c_1(c_0(c_2(c_1(c_2(c_0(c_0(c_0(c_0(c_2(c_0(c_0(c_0(c_2(c_2(c_0(c_0(c_0(c_0(c_1(z0)))))))))))))))))))))))) ---------------------------------------- (56) Obligation: Complexity Dependency Tuples Problem Rules: encArg(cons_0(z0)) -> 0(encArg(z0)) encArg(cons_1(z0)) -> 1(encArg(z0)) encArg(cons_2(z0)) -> 2(encArg(z0)) 0(z0) -> c_0(z0) 0(c_0(c_2(c_0(c_2(c_2(c_1(c_2(c_1(c_1(c_2(c_1(c_1(c_2(c_1(c_0(c_0(c_0(c_0(c_1(c_1(c_2(c_1(z0))))))))))))))))))))))) -> 0(0(1(2(2(1(1(2(2(1(1(2(2(2(2(0(1(2(1(2(1(1(1(0(1(2(2(z0))))))))))))))))))))))))))) 0(c_1(c_1(c_1(c_2(c_2(c_1(c_0(c_0(c_2(c_2(c_2(c_2(c_0(c_2(c_0(c_0(c_0(c_0(c_1(c_0(c_0(c_2(z0))))))))))))))))))))))) -> 0(2(1(1(1(1(2(2(1(1(0(1(1(2(1(2(1(0(0(1(2(2(1(0(0(2(2(z0))))))))))))))))))))))))))) 0(c_1(c_1(c_0(c_1(c_1(c_1(c_2(c_2(c_0(c_2(c_0(c_1(c_2(c_2(c_2(c_0(c_1(c_2(c_0(c_1(c_0(c_2(z0))))))))))))))))))))))) -> 0(2(0(1(0(2(0(2(2(2(1(2(1(1(2(2(2(2(2(2(2(1(0(0(0(2(2(z0))))))))))))))))))))))))))) 0(c_1(c_0(c_0(c_1(c_2(c_2(c_1(c_0(c_1(c_2(c_1(c_2(c_0(c_1(c_0(c_2(c_2(c_0(c_1(c_2(c_1(c_0(z0))))))))))))))))))))))) -> 0(0(0(1(2(2(2(2(2(2(2(0(0(0(0(1(2(1(2(2(2(1(0(2(0(2(0(z0))))))))))))))))))))))))))) 0(c_0(c_1(c_2(c_0(c_1(c_0(c_0(c_2(c_0(c_1(c_1(c_0(c_1(c_2(c_1(c_1(c_2(c_2(c_1(c_1(c_0(c_2(z0))))))))))))))))))))))) -> 0(2(2(2(0(1(1(2(1(2(2(1(2(1(0(2(2(2(1(2(1(1(0(0(1(0(2(z0))))))))))))))))))))))))))) 0(c_1(c_1(c_1(c_1(c_2(c_1(c_1(c_2(c_2(c_0(c_1(c_0(c_1(c_1(c_0(c_2(c_0(c_0(c_2(c_0(c_1(c_0(z0))))))))))))))))))))))) -> 2(2(2(2(2(1(0(1(2(2(0(1(1(1(2(2(1(1(0(0(0(0(2(2(1(2(2(z0))))))))))))))))))))))))))) 0(c_1(c_2(c_1(c_1(c_2(c_2(c_2(c_1(c_1(c_0(c_0(c_1(c_0(c_2(c_0(c_2(c_2(c_1(c_0(c_2(c_1(c_1(z0))))))))))))))))))))))) -> 2(1(2(1(2(1(2(2(0(2(0(1(2(1(2(1(2(0(1(2(0(0(2(2(1(1(2(z0))))))))))))))))))))))))))) 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2(2(1(2(1(2(2(1(0(1(2(2(2(1(0(2(1(1(2(1(0(1(1(1(2(2(2(z0))))))))))))))))))))))))))) 1(c_1(c_0(c_1(c_2(c_2(c_2(c_2(c_1(c_0(c_2(c_1(c_2(c_0(c_0(c_0(c_1(c_0(c_2(c_1(c_1(c_1(c_2(z0))))))))))))))))))))))) -> 2(1(2(1(2(2(2(2(2(0(0(0(0(2(1(2(2(2(2(1(2(2(2(0(0(2(2(z0))))))))))))))))))))))))))) 1(c_1(c_2(c_2(c_1(c_0(c_2(c_0(c_1(c_1(c_2(c_2(c_2(c_1(c_0(c_1(c_0(c_0(c_2(c_1(c_1(c_0(c_2(z0))))))))))))))))))))))) -> 2(2(2(1(1(2(2(2(1(2(2(0(0(2(0(0(1(2(0(2(2(1(2(2(2(0(2(z0))))))))))))))))))))))))))) 1(c_0(c_1(c_0(c_2(c_2(c_2(c_2(c_1(c_0(c_0(c_2(c_0(c_2(c_1(c_2(c_1(c_2(c_1(c_1(c_2(c_0(c_2(z0))))))))))))))))))))))) -> 2(1(2(0(2(0(2(0(2(2(2(2(1(2(1(2(2(2(1(1(2(1(0(1(1(2(2(z0))))))))))))))))))))))))))) 1(c_1(c_1(c_0(c_2(c_2(c_1(c_1(c_1(c_2(c_2(c_0(c_2(c_0(c_2(c_1(c_1(c_2(c_1(c_2(c_1(c_2(c_2(z0))))))))))))))))))))))) -> 1(2(1(2(1(1(1(1(2(1(1(1(2(2(0(1(0(2(2(1(2(2(2(1(0(1(2(z0))))))))))))))))))))))))))) 1(c_0(c_0(c_1(c_0(c_1(c_1(c_0(c_2(c_1(c_1(c_2(c_1(c_2(c_1(c_2(c_0(c_1(c_2(c_2(c_1(c_2(c_1(z0))))))))))))))))))))))) -> 1(2(0(0(1(1(2(2(1(2(0(2(2(0(1(1(2(2(2(1(2(2(2(2(2(1(2(z0))))))))))))))))))))))))))) 1(c_2(c_2(c_2(c_1(c_1(c_0(c_0(c_2(c_2(c_2(c_0(c_0(c_0(c_2(c_1(c_2(c_2(c_0(c_2(c_0(c_2(c_0(z0))))))))))))))))))))))) -> 1(2(1(2(0(0(1(1(1(2(2(2(2(1(2(2(2(0(2(0(1(2(2(2(2(0(0(z0))))))))))))))))))))))))))) 1(c_2(c_0(c_2(c_1(c_2(c_2(c_1(c_2(c_2(c_2(c_0(c_1(c_1(c_1(c_1(c_0(c_1(c_0(c_0(c_2(c_0(c_1(z0))))))))))))))))))))))) -> 1(2(1(2(1(2(2(2(2(2(2(0(0(2(0(0(2(2(0(1(1(1(1(0(0(2(1(z0))))))))))))))))))))))))))) 1(c_1(c_0(c_2(c_1(c_0(c_2(c_0(c_1(c_2(c_0(c_2(c_0(c_0(c_2(c_1(c_0(c_1(c_0(c_1(c_2(c_1(c_2(z0))))))))))))))))))))))) -> 2(0(2(2(1(1(1(2(2(0(1(2(0(2(1(1(2(1(0(0(2(0(1(2(2(2(2(z0))))))))))))))))))))))))))) 1(c_1(c_0(c_0(c_1(c_1(c_1(c_2(c_2(c_2(c_1(c_2(c_1(c_0(c_0(c_0(c_2(c_2(c_2(c_0(c_1(c_2(c_0(z0))))))))))))))))))))))) -> 2(1(2(1(2(2(2(1(2(2(0(2(2(1(0(2(1(2(2(0(1(0(1(1(2(2(2(z0))))))))))))))))))))))))))) 2(z0) -> c_2(z0) 2(c_2(c_1(c_1(c_1(c_0(c_0(c_2(c_1(c_0(c_2(c_1(c_2(c_0(c_0(c_2(c_1(c_0(c_1(c_1(c_2(c_2(c_1(z0))))))))))))))))))))))) -> 2(1(2(2(0(1(2(1(1(0(1(2(1(0(0(1(2(2(1(2(1(0(2(1(2(2(1(z0))))))))))))))))))))))))))) 2(c_2(c_1(c_1(c_2(c_0(c_0(c_2(c_2(c_2(c_2(c_1(c_1(c_1(c_1(c_1(c_2(c_1(c_2(c_0(c_0(c_1(c_1(z0))))))))))))))))))))))) -> 2(2(1(1(2(2(1(2(1(2(2(0(0(0(2(1(0(2(2(1(2(2(0(1(1(2(2(z0))))))))))))))))))))))))))) 2(c_1(c_0(c_1(c_0(c_0(c_2(c_2(c_2(c_0(c_1(c_0(c_0(c_2(c_0(c_0(c_1(c_2(c_0(c_2(c_2(c_2(c_0(z0))))))))))))))))))))))) -> 2(1(1(2(0(1(2(0(0(2(0(1(2(2(1(1(1(2(2(2(0(0(1(1(0(2(0(z0))))))))))))))))))))))))))) 2(c_0(c_2(c_0(c_1(c_0(c_1(c_1(c_2(c_0(c_1(c_1(c_2(c_2(c_1(c_0(c_2(c_0(c_2(c_0(c_2(c_2(c_2(z0))))))))))))))))))))))) -> 2(0(0(1(1(2(0(2(2(1(1(2(2(0(1(2(2(2(0(0(2(0(2(2(2(0(2(z0))))))))))))))))))))))))))) 2(c_2(c_0(c_1(c_2(c_2(c_2(c_0(c_2(c_2(c_2(c_0(c_2(c_2(c_2(c_2(c_1(c_0(c_1(c_0(c_0(c_1(c_0(z0))))))))))))))))))))))) -> 2(2(0(1(1(2(2(2(1(1(2(1(0(0(1(2(2(1(2(1(0(2(2(0(0(2(0(z0))))))))))))))))))))))))))) 2(c_2(c_1(c_1(c_1(c_2(c_0(c_1(c_1(c_2(c_2(c_0(c_1(c_1(c_1(c_1(c_1(c_2(c_2(c_2(c_0(c_2(c_1(z0))))))))))))))))))))))) -> 1(2(1(2(2(1(1(1(1(2(2(2(1(2(0(0(0(1(2(0(0(1(2(2(2(2(2(z0))))))))))))))))))))))))))) 2(c_1(c_1(c_0(c_2(c_2(c_2(c_0(c_1(c_2(c_1(c_1(c_0(c_1(c_2(c_0(c_0(c_1(c_1(c_1(c_1(c_2(c_2(z0))))))))))))))))))))))) -> 2(0(0(2(1(0(0(0(0(0(1(2(1(1(2(1(1(2(1(2(2(0(1(1(1(2(2(z0))))))))))))))))))))))))))) 2(c_2(c_1(c_2(c_1(c_2(c_2(c_2(c_0(c_1(c_2(c_1(c_2(c_2(c_2(c_2(c_1(c_1(c_0(c_1(c_0(c_1(c_0(z0))))))))))))))))))))))) -> 1(2(1(2(1(2(0(1(2(2(0(1(1(1(2(2(1(1(1(2(2(0(1(0(1(2(2(z0))))))))))))))))))))))))))) 2(c_0(c_2(c_0(c_1(c_2(c_2(c_0(c_0(c_2(c_2(c_2(c_1(c_1(c_1(c_2(c_1(c_0(c_2(c_0(c_2(c_2(c_0(z0))))))))))))))))))))))) -> 2(1(1(1(2(2(0(0(0(2(1(0(0(0(1(1(0(2(2(0(2(2(2(2(2(2(0(z0))))))))))))))))))))))))))) 2(c_2(c_0(c_0(c_2(c_1(c_2(c_0(c_1(c_2(c_0(c_2(c_1(c_0(c_1(c_1(c_2(c_2(c_1(c_0(c_1(c_0(c_2(z0))))))))))))))))))))))) -> 2(2(2(2(1(2(1(2(0(2(2(2(2(2(0(1(2(0(2(1(0(0(0(2(0(2(2(z0))))))))))))))))))))))))))) 2(c_2(c_2(c_0(c_0(c_1(c_0(c_0(c_2(c_0(c_0(c_2(c_1(c_1(c_2(c_1(c_0(c_1(c_2(c_2(c_2(c_1(c_0(z0))))))))))))))))))))))) -> 1(2(2(2(2(0(1(2(1(2(0(1(2(1(2(1(0(1(0(1(0(1(1(2(2(1(0(z0))))))))))))))))))))))))))) 2(c_1(c_0(c_1(c_1(c_2(c_0(c_0(c_2(c_1(c_0(c_0(c_0(c_1(c_2(c_1(c_1(c_2(c_0(c_2(c_1(c_2(c_1(z0))))))))))))))))))))))) -> 2(0(2(2(0(0(2(2(1(1(1(2(0(1(0(1(2(2(2(2(2(0(0(0(2(2(1(z0))))))))))))))))))))))))))) 2(c_2(c_1(c_2(c_2(c_0(c_0(c_2(c_1(c_1(c_0(c_2(c_2(c_0(c_2(c_2(c_0(c_2(c_2(c_1(c_2(c_0(c_2(z0))))))))))))))))))))))) -> 1(2(1(1(1(2(2(2(1(2(1(0(2(1(1(1(1(2(2(0(0(1(1(0(2(1(2(z0))))))))))))))))))))))))))) 2(c_2(c_0(c_0(c_1(c_2(c_1(c_1(c_2(c_1(c_0(c_0(c_0(c_0(c_0(c_2(c_1(c_2(c_1(c_1(c_2(c_0(c_2(z0))))))))))))))))))))))) -> 2(1(1(2(2(2(2(1(2(1(0(0(2(1(0(2(2(0(1(1(0(2(0(0(0(0(2(z0))))))))))))))))))))))))))) 2(c_0(c_1(c_0(c_0(c_0(c_1(c_0(c_0(c_0(c_0(c_0(c_0(c_0(c_1(c_0(c_2(c_0(c_0(c_2(c_2(c_2(c_2(z0))))))))))))))))))))))) -> 2(2(2(1(1(2(1(2(0(1(1(2(1(0(2(1(0(0(1(0(1(1(2(1(2(2(2(z0))))))))))))))))))))))))))) 2(c_2(c_0(c_0(c_1(c_0(c_1(c_2(c_2(c_2(c_1(c_1(c_0(c_0(c_1(c_2(c_2(c_1(c_2(c_0(c_1(c_2(c_1(z0))))))))))))))))))))))) -> 2(2(2(2(0(2(0(2(2(1(2(1(0(1(1(2(2(0(0(2(1(2(1(2(1(2(0(z0))))))))))))))))))))))))))) 2(c_2(c_1(c_1(c_2(c_2(c_1(c_2(c_1(c_1(c_1(c_0(c_0(c_2(c_1(c_1(c_0(c_2(c_0(c_0(c_1(c_1(c_2(z0))))))))))))))))))))))) -> 2(1(1(1(2(2(2(1(1(0(2(2(1(0(1(0(2(2(1(2(0(0(0(1(2(1(2(z0))))))))))))))))))))))))))) 2(c_2(c_0(c_1(c_1(c_0(c_0(c_1(c_2(c_1(c_0(c_2(c_1(c_2(c_2(c_2(c_1(c_0(c_0(c_2(c_2(c_2(c_0(z0))))))))))))))))))))))) -> 2(2(1(0(0(0(0(2(2(1(1(2(2(1(0(2(1(2(1(2(2(1(2(2(2(0(0(z0))))))))))))))))))))))))))) 2(c_1(c_2(c_1(c_0(c_2(c_1(c_2(c_0(c_0(c_0(c_0(c_2(c_0(c_0(c_0(c_2(c_2(c_0(c_0(c_0(c_0(c_1(z0))))))))))))))))))))))) -> 2(1(2(1(2(0(0(2(1(0(0(2(2(0(1(0(2(1(2(1(2(2(1(2(1(1(2(z0))))))))))))))))))))))))))) Tuples: 0'(c_1(c_1(c_1(c_2(c_2(c_1(c_0(c_0(c_2(c_2(c_2(c_2(c_0(c_2(c_0(c_0(c_0(c_0(c_1(c_0(c_0(c_2(z0))))))))))))))))))))))) -> c8(0'(2(1(1(1(1(2(2(1(1(0(1(1(2(1(2(1(0(0(1(2(2(1(0(0(2(2(z0))))))))))))))))))))))))))), 2'(1(1(1(1(2(2(1(1(0(1(1(2(1(2(1(0(0(1(2(2(1(0(0(2(2(z0)))))))))))))))))))))))))), 1'(1(1(1(2(2(1(1(0(1(1(2(1(2(1(0(0(1(2(2(1(0(0(2(2(z0))))))))))))))))))))))))), 1'(1(1(2(2(1(1(0(1(1(2(1(2(1(0(0(1(2(2(1(0(0(2(2(z0)))))))))))))))))))))))), 1'(1(2(2(1(1(0(1(1(2(1(2(1(0(0(1(2(2(1(0(0(2(2(z0))))))))))))))))))))))), 1'(2(2(1(1(0(1(1(2(1(2(1(0(0(1(2(2(1(0(0(2(2(z0)))))))))))))))))))))), 2'(2(1(1(0(1(1(2(1(2(1(0(0(1(2(2(1(0(0(2(2(z0))))))))))))))))))))), 2'(1(1(0(1(1(2(1(2(1(0(0(1(2(2(1(0(0(2(2(z0)))))))))))))))))))), 1'(1(0(1(1(2(1(2(1(0(0(1(2(2(1(0(0(2(2(z0))))))))))))))))))), 1'(0(1(1(2(1(2(1(0(0(1(2(2(1(0(0(2(2(z0)))))))))))))))))), 0'(1(1(2(1(2(1(0(0(1(2(2(1(0(0(2(2(z0))))))))))))))))), 1'(1(2(1(2(1(0(0(1(2(2(1(0(0(2(2(z0)))))))))))))))), 1'(2(1(2(1(0(0(1(2(2(1(0(0(2(2(z0))))))))))))))), 2'(1(2(1(0(0(1(2(2(1(0(0(2(2(z0)))))))))))))), 1'(2(1(0(0(1(2(2(1(0(0(2(2(z0))))))))))))), 2'(1(0(0(1(2(2(1(0(0(2(2(z0)))))))))))), 1'(0(0(1(2(2(1(0(0(2(2(z0))))))))))), 0'(0(1(2(2(1(0(0(2(2(z0)))))))))), 0'(1(2(2(1(0(0(2(2(z0))))))))), 1'(2(2(1(0(0(2(2(z0)))))))), 2'(2(1(0(0(2(2(z0))))))), 2'(1(0(0(2(2(z0)))))), 1'(0(0(2(2(z0))))), 0'(0(2(2(z0)))), 0'(2(2(z0))), 2'(2(z0)), 2'(z0)) 0'(c_1(c_1(c_0(c_1(c_1(c_1(c_2(c_2(c_0(c_2(c_0(c_1(c_2(c_2(c_2(c_0(c_1(c_2(c_0(c_1(c_0(c_2(z0))))))))))))))))))))))) -> c9(0'(2(0(1(0(2(0(2(2(2(1(2(1(1(2(2(2(2(2(2(2(1(0(0(0(2(2(z0))))))))))))))))))))))))))), 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1'(2(1(0(1(1(1(2(2(2(z0)))))))))), 2'(1(0(1(1(1(2(2(2(z0))))))))), 1'(0(1(1(1(2(2(2(z0)))))))), 0'(1(1(1(2(2(2(z0))))))), 1'(1(1(2(2(2(z0)))))), 1'(1(2(2(2(z0))))), 1'(2(2(2(z0)))), 2'(2(2(z0))), 2'(2(z0)), 2'(z0)) 1'(c_1(c_0(c_1(c_2(c_2(c_2(c_2(c_1(c_0(c_2(c_1(c_2(c_0(c_0(c_0(c_1(c_0(c_2(c_1(c_1(c_1(c_2(z0))))))))))))))))))))))) -> c20(2'(1(2(1(2(2(2(2(2(0(0(0(0(2(1(2(2(2(2(1(2(2(2(0(0(2(2(z0))))))))))))))))))))))))))), 1'(2(1(2(2(2(2(2(0(0(0(0(2(1(2(2(2(2(1(2(2(2(0(0(2(2(z0)))))))))))))))))))))))))), 2'(1(2(2(2(2(2(0(0(0(0(2(1(2(2(2(2(1(2(2(2(0(0(2(2(z0))))))))))))))))))))))))), 1'(2(2(2(2(2(0(0(0(0(2(1(2(2(2(2(1(2(2(2(0(0(2(2(z0)))))))))))))))))))))))), 2'(2(2(2(2(0(0(0(0(2(1(2(2(2(2(1(2(2(2(0(0(2(2(z0))))))))))))))))))))))), 2'(2(2(2(0(0(0(0(2(1(2(2(2(2(1(2(2(2(0(0(2(2(z0)))))))))))))))))))))), 2'(2(2(0(0(0(0(2(1(2(2(2(2(1(2(2(2(0(0(2(2(z0))))))))))))))))))))), 2'(2(0(0(0(0(2(1(2(2(2(2(1(2(2(2(0(0(2(2(z0)))))))))))))))))))), 2'(0(0(0(0(2(1(2(2(2(2(1(2(2(2(0(0(2(2(z0))))))))))))))))))), 0'(0(0(0(2(1(2(2(2(2(1(2(2(2(0(0(2(2(z0)))))))))))))))))), 0'(0(0(2(1(2(2(2(2(1(2(2(2(0(0(2(2(z0))))))))))))))))), 0'(0(2(1(2(2(2(2(1(2(2(2(0(0(2(2(z0)))))))))))))))), 0'(2(1(2(2(2(2(1(2(2(2(0(0(2(2(z0))))))))))))))), 2'(1(2(2(2(2(1(2(2(2(0(0(2(2(z0)))))))))))))), 1'(2(2(2(2(1(2(2(2(0(0(2(2(z0))))))))))))), 2'(2(2(2(1(2(2(2(0(0(2(2(z0)))))))))))), 2'(2(2(1(2(2(2(0(0(2(2(z0))))))))))), 2'(2(1(2(2(2(0(0(2(2(z0)))))))))), 2'(1(2(2(2(0(0(2(2(z0))))))))), 1'(2(2(2(0(0(2(2(z0)))))))), 2'(2(2(0(0(2(2(z0))))))), 2'(2(0(0(2(2(z0)))))), 2'(0(0(2(2(z0))))), 0'(0(2(2(z0)))), 0'(2(2(z0))), 2'(2(z0)), 2'(z0)) 1'(c_1(c_2(c_2(c_1(c_0(c_2(c_0(c_1(c_1(c_2(c_2(c_2(c_1(c_0(c_1(c_0(c_0(c_2(c_1(c_1(c_0(c_2(z0))))))))))))))))))))))) -> c21(2'(2(2(1(1(2(2(2(1(2(2(0(0(2(0(0(1(2(0(2(2(1(2(2(2(0(2(z0))))))))))))))))))))))))))), 2'(2(1(1(2(2(2(1(2(2(0(0(2(0(0(1(2(0(2(2(1(2(2(2(0(2(z0)))))))))))))))))))))))))), 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c26(1'(2(1(2(1(2(2(2(2(2(2(0(0(2(0(0(2(2(0(1(1(1(1(0(0(2(1(z0))))))))))))))))))))))))))), 2'(1(2(1(2(2(2(2(2(2(0(0(2(0(0(2(2(0(1(1(1(1(0(0(2(1(z0)))))))))))))))))))))))))), 1'(2(1(2(2(2(2(2(2(0(0(2(0(0(2(2(0(1(1(1(1(0(0(2(1(z0))))))))))))))))))))))))), 2'(1(2(2(2(2(2(2(0(0(2(0(0(2(2(0(1(1(1(1(0(0(2(1(z0)))))))))))))))))))))))), 1'(2(2(2(2(2(2(0(0(2(0(0(2(2(0(1(1(1(1(0(0(2(1(z0))))))))))))))))))))))), 2'(2(2(2(2(2(0(0(2(0(0(2(2(0(1(1(1(1(0(0(2(1(z0)))))))))))))))))))))), 2'(2(2(2(2(0(0(2(0(0(2(2(0(1(1(1(1(0(0(2(1(z0))))))))))))))))))))), 2'(2(2(2(0(0(2(0(0(2(2(0(1(1(1(1(0(0(2(1(z0)))))))))))))))))))), 2'(2(2(0(0(2(0(0(2(2(0(1(1(1(1(0(0(2(1(z0))))))))))))))))))), 2'(2(0(0(2(0(0(2(2(0(1(1(1(1(0(0(2(1(z0)))))))))))))))))), 2'(0(0(2(0(0(2(2(0(1(1(1(1(0(0(2(1(z0))))))))))))))))), 0'(0(2(0(0(2(2(0(1(1(1(1(0(0(2(1(z0)))))))))))))))), 0'(2(0(0(2(2(0(1(1(1(1(0(0(2(1(z0))))))))))))))), 2'(0(0(2(2(0(1(1(1(1(0(0(2(1(z0)))))))))))))), 0'(0(2(2(0(1(1(1(1(0(0(2(1(z0))))))))))))), 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2'(1(0(2(2(0(1(1(0(2(0(0(0(0(2(z0))))))))))))))), 1'(0(2(2(0(1(1(0(2(0(0(0(0(2(z0)))))))))))))), 0'(2(2(0(1(1(0(2(0(0(0(0(2(z0))))))))))))), 2'(2(0(1(1(0(2(0(0(0(0(2(z0)))))))))))), 2'(0(1(1(0(2(0(0(0(0(2(z0))))))))))), 0'(1(1(0(2(0(0(0(0(2(z0)))))))))), 1'(1(0(2(0(0(0(0(2(z0))))))))), 1'(0(2(0(0(0(0(2(z0)))))))), 0'(2(0(0(0(0(2(z0))))))), 2'(0(0(0(0(2(z0)))))), 0'(0(0(0(2(z0))))), 0'(0(0(2(z0)))), 0'(0(2(z0))), 0'(2(z0)), 2'(z0)) 2'(c_0(c_1(c_0(c_0(c_0(c_1(c_0(c_0(c_0(c_0(c_0(c_0(c_0(c_1(c_0(c_2(c_0(c_0(c_2(c_2(c_2(c_2(z0))))))))))))))))))))))) -> c44(2'(2(2(1(1(2(1(2(0(1(1(2(1(0(2(1(0(0(1(0(1(1(2(1(2(2(2(z0))))))))))))))))))))))))))), 2'(2(1(1(2(1(2(0(1(1(2(1(0(2(1(0(0(1(0(1(1(2(1(2(2(2(z0)))))))))))))))))))))))))), 2'(1(1(2(1(2(0(1(1(2(1(0(2(1(0(0(1(0(1(1(2(1(2(2(2(z0))))))))))))))))))))))))), 1'(1(2(1(2(0(1(1(2(1(0(2(1(0(0(1(0(1(1(2(1(2(2(2(z0)))))))))))))))))))))))), 1'(2(1(2(0(1(1(2(1(0(2(1(0(0(1(0(1(1(2(1(2(2(2(z0))))))))))))))))))))))), 2'(1(2(0(1(1(2(1(0(2(1(0(0(1(0(1(1(2(1(2(2(2(z0)))))))))))))))))))))), 1'(2(0(1(1(2(1(0(2(1(0(0(1(0(1(1(2(1(2(2(2(z0))))))))))))))))))))), 2'(0(1(1(2(1(0(2(1(0(0(1(0(1(1(2(1(2(2(2(z0)))))))))))))))))))), 0'(1(1(2(1(0(2(1(0(0(1(0(1(1(2(1(2(2(2(z0))))))))))))))))))), 1'(1(2(1(0(2(1(0(0(1(0(1(1(2(1(2(2(2(z0)))))))))))))))))), 1'(2(1(0(2(1(0(0(1(0(1(1(2(1(2(2(2(z0))))))))))))))))), 2'(1(0(2(1(0(0(1(0(1(1(2(1(2(2(2(z0)))))))))))))))), 1'(0(2(1(0(0(1(0(1(1(2(1(2(2(2(z0))))))))))))))), 0'(2(1(0(0(1(0(1(1(2(1(2(2(2(z0)))))))))))))), 2'(1(0(0(1(0(1(1(2(1(2(2(2(z0))))))))))))), 1'(0(0(1(0(1(1(2(1(2(2(2(z0)))))))))))), 0'(0(1(0(1(1(2(1(2(2(2(z0))))))))))), 0'(1(0(1(1(2(1(2(2(2(z0)))))))))), 1'(0(1(1(2(1(2(2(2(z0))))))))), 0'(1(1(2(1(2(2(2(z0)))))))), 1'(1(2(1(2(2(2(z0))))))), 1'(2(1(2(2(2(z0)))))), 2'(1(2(2(2(z0))))), 1'(2(2(2(z0)))), 2'(2(2(z0))), 2'(2(z0)), 2'(z0)) 2'(c_2(c_0(c_0(c_1(c_0(c_1(c_2(c_2(c_2(c_1(c_1(c_0(c_0(c_1(c_2(c_2(c_1(c_2(c_0(c_1(c_2(c_1(z0))))))))))))))))))))))) -> c45(2'(2(2(2(0(2(0(2(2(1(2(1(0(1(1(2(2(0(0(2(1(2(1(2(1(2(0(z0))))))))))))))))))))))))))), 2'(2(2(0(2(0(2(2(1(2(1(0(1(1(2(2(0(0(2(1(2(1(2(1(2(0(z0)))))))))))))))))))))))))), 2'(2(0(2(0(2(2(1(2(1(0(1(1(2(2(0(0(2(1(2(1(2(1(2(0(z0))))))))))))))))))))))))), 2'(0(2(0(2(2(1(2(1(0(1(1(2(2(0(0(2(1(2(1(2(1(2(0(z0)))))))))))))))))))))))), 0'(2(0(2(2(1(2(1(0(1(1(2(2(0(0(2(1(2(1(2(1(2(0(z0))))))))))))))))))))))), 2'(0(2(2(1(2(1(0(1(1(2(2(0(0(2(1(2(1(2(1(2(0(z0)))))))))))))))))))))), 0'(2(2(1(2(1(0(1(1(2(2(0(0(2(1(2(1(2(1(2(0(z0))))))))))))))))))))), 2'(2(1(2(1(0(1(1(2(2(0(0(2(1(2(1(2(1(2(0(z0)))))))))))))))))))), 2'(1(2(1(0(1(1(2(2(0(0(2(1(2(1(2(1(2(0(z0))))))))))))))))))), 1'(2(1(0(1(1(2(2(0(0(2(1(2(1(2(1(2(0(z0)))))))))))))))))), 2'(1(0(1(1(2(2(0(0(2(1(2(1(2(1(2(0(z0))))))))))))))))), 1'(0(1(1(2(2(0(0(2(1(2(1(2(1(2(0(z0)))))))))))))))), 0'(1(1(2(2(0(0(2(1(2(1(2(1(2(0(z0))))))))))))))), 1'(1(2(2(0(0(2(1(2(1(2(1(2(0(z0)))))))))))))), 1'(2(2(0(0(2(1(2(1(2(1(2(0(z0))))))))))))), 2'(2(0(0(2(1(2(1(2(1(2(0(z0)))))))))))), 2'(0(0(2(1(2(1(2(1(2(0(z0))))))))))), 0'(0(2(1(2(1(2(1(2(0(z0)))))))))), 0'(2(1(2(1(2(1(2(0(z0))))))))), 2'(1(2(1(2(1(2(0(z0)))))))), 1'(2(1(2(1(2(0(z0))))))), 2'(1(2(1(2(0(z0)))))), 1'(2(1(2(0(z0))))), 2'(1(2(0(z0)))), 1'(2(0(z0))), 2'(0(z0)), 0'(z0)) 2'(c_2(c_1(c_1(c_2(c_2(c_1(c_2(c_1(c_1(c_1(c_0(c_0(c_2(c_1(c_1(c_0(c_2(c_0(c_0(c_1(c_1(c_2(z0))))))))))))))))))))))) -> c46(2'(1(1(1(2(2(2(1(1(0(2(2(1(0(1(0(2(2(1(2(0(0(0(1(2(1(2(z0))))))))))))))))))))))))))), 1'(1(1(2(2(2(1(1(0(2(2(1(0(1(0(2(2(1(2(0(0(0(1(2(1(2(z0)))))))))))))))))))))))))), 1'(1(2(2(2(1(1(0(2(2(1(0(1(0(2(2(1(2(0(0(0(1(2(1(2(z0))))))))))))))))))))))))), 1'(2(2(2(1(1(0(2(2(1(0(1(0(2(2(1(2(0(0(0(1(2(1(2(z0)))))))))))))))))))))))), 2'(2(2(1(1(0(2(2(1(0(1(0(2(2(1(2(0(0(0(1(2(1(2(z0))))))))))))))))))))))), 2'(2(1(1(0(2(2(1(0(1(0(2(2(1(2(0(0(0(1(2(1(2(z0)))))))))))))))))))))), 2'(1(1(0(2(2(1(0(1(0(2(2(1(2(0(0(0(1(2(1(2(z0))))))))))))))))))))), 1'(1(0(2(2(1(0(1(0(2(2(1(2(0(0(0(1(2(1(2(z0)))))))))))))))))))), 1'(0(2(2(1(0(1(0(2(2(1(2(0(0(0(1(2(1(2(z0))))))))))))))))))), 0'(2(2(1(0(1(0(2(2(1(2(0(0(0(1(2(1(2(z0)))))))))))))))))), 2'(2(1(0(1(0(2(2(1(2(0(0(0(1(2(1(2(z0))))))))))))))))), 2'(1(0(1(0(2(2(1(2(0(0(0(1(2(1(2(z0)))))))))))))))), 1'(0(1(0(2(2(1(2(0(0(0(1(2(1(2(z0))))))))))))))), 0'(1(0(2(2(1(2(0(0(0(1(2(1(2(z0)))))))))))))), 1'(0(2(2(1(2(0(0(0(1(2(1(2(z0))))))))))))), 0'(2(2(1(2(0(0(0(1(2(1(2(z0)))))))))))), 2'(2(1(2(0(0(0(1(2(1(2(z0))))))))))), 2'(1(2(0(0(0(1(2(1(2(z0)))))))))), 1'(2(0(0(0(1(2(1(2(z0))))))))), 2'(0(0(0(1(2(1(2(z0)))))))), 0'(0(0(1(2(1(2(z0))))))), 0'(0(1(2(1(2(z0)))))), 0'(1(2(1(2(z0))))), 1'(2(1(2(z0)))), 2'(1(2(z0))), 1'(2(z0)), 2'(z0)) 2'(c_2(c_0(c_1(c_1(c_0(c_0(c_1(c_2(c_1(c_0(c_2(c_1(c_2(c_2(c_2(c_1(c_0(c_0(c_2(c_2(c_2(c_0(z0))))))))))))))))))))))) -> c47(2'(2(1(0(0(0(0(2(2(1(1(2(2(1(0(2(1(2(1(2(2(1(2(2(2(0(0(z0))))))))))))))))))))))))))), 2'(1(0(0(0(0(2(2(1(1(2(2(1(0(2(1(2(1(2(2(1(2(2(2(0(0(z0)))))))))))))))))))))))))), 1'(0(0(0(0(2(2(1(1(2(2(1(0(2(1(2(1(2(2(1(2(2(2(0(0(z0))))))))))))))))))))))))), 0'(0(0(0(2(2(1(1(2(2(1(0(2(1(2(1(2(2(1(2(2(2(0(0(z0)))))))))))))))))))))))), 0'(0(0(2(2(1(1(2(2(1(0(2(1(2(1(2(2(1(2(2(2(0(0(z0))))))))))))))))))))))), 0'(0(2(2(1(1(2(2(1(0(2(1(2(1(2(2(1(2(2(2(0(0(z0)))))))))))))))))))))), 0'(2(2(1(1(2(2(1(0(2(1(2(1(2(2(1(2(2(2(0(0(z0))))))))))))))))))))), 2'(2(1(1(2(2(1(0(2(1(2(1(2(2(1(2(2(2(0(0(z0)))))))))))))))))))), 2'(1(1(2(2(1(0(2(1(2(1(2(2(1(2(2(2(0(0(z0))))))))))))))))))), 1'(1(2(2(1(0(2(1(2(1(2(2(1(2(2(2(0(0(z0)))))))))))))))))), 1'(2(2(1(0(2(1(2(1(2(2(1(2(2(2(0(0(z0))))))))))))))))), 2'(2(1(0(2(1(2(1(2(2(1(2(2(2(0(0(z0)))))))))))))))), 2'(1(0(2(1(2(1(2(2(1(2(2(2(0(0(z0))))))))))))))), 1'(0(2(1(2(1(2(2(1(2(2(2(0(0(z0)))))))))))))), 0'(2(1(2(1(2(2(1(2(2(2(0(0(z0))))))))))))), 2'(1(2(1(2(2(1(2(2(2(0(0(z0)))))))))))), 1'(2(1(2(2(1(2(2(2(0(0(z0))))))))))), 2'(1(2(2(1(2(2(2(0(0(z0)))))))))), 1'(2(2(1(2(2(2(0(0(z0))))))))), 2'(2(1(2(2(2(0(0(z0)))))))), 2'(1(2(2(2(0(0(z0))))))), 1'(2(2(2(0(0(z0)))))), 2'(2(2(0(0(z0))))), 2'(2(0(0(z0)))), 2'(0(0(z0))), 0'(0(z0)), 0'(z0)) 2'(c_1(c_2(c_1(c_0(c_2(c_1(c_2(c_0(c_0(c_0(c_0(c_2(c_0(c_0(c_0(c_2(c_2(c_0(c_0(c_0(c_0(c_1(z0))))))))))))))))))))))) -> c48(2'(1(2(1(2(0(0(2(1(0(0(2(2(0(1(0(2(1(2(1(2(2(1(2(1(1(2(z0))))))))))))))))))))))))))), 1'(2(1(2(0(0(2(1(0(0(2(2(0(1(0(2(1(2(1(2(2(1(2(1(1(2(z0)))))))))))))))))))))))))), 2'(1(2(0(0(2(1(0(0(2(2(0(1(0(2(1(2(1(2(2(1(2(1(1(2(z0))))))))))))))))))))))))), 1'(2(0(0(2(1(0(0(2(2(0(1(0(2(1(2(1(2(2(1(2(1(1(2(z0)))))))))))))))))))))))), 2'(0(0(2(1(0(0(2(2(0(1(0(2(1(2(1(2(2(1(2(1(1(2(z0))))))))))))))))))))))), 0'(0(2(1(0(0(2(2(0(1(0(2(1(2(1(2(2(1(2(1(1(2(z0)))))))))))))))))))))), 0'(2(1(0(0(2(2(0(1(0(2(1(2(1(2(2(1(2(1(1(2(z0))))))))))))))))))))), 2'(1(0(0(2(2(0(1(0(2(1(2(1(2(2(1(2(1(1(2(z0)))))))))))))))))))), 1'(0(0(2(2(0(1(0(2(1(2(1(2(2(1(2(1(1(2(z0))))))))))))))))))), 0'(0(2(2(0(1(0(2(1(2(1(2(2(1(2(1(1(2(z0)))))))))))))))))), 0'(2(2(0(1(0(2(1(2(1(2(2(1(2(1(1(2(z0))))))))))))))))), 2'(2(0(1(0(2(1(2(1(2(2(1(2(1(1(2(z0)))))))))))))))), 2'(0(1(0(2(1(2(1(2(2(1(2(1(1(2(z0))))))))))))))), 0'(1(0(2(1(2(1(2(2(1(2(1(1(2(z0)))))))))))))), 1'(0(2(1(2(1(2(2(1(2(1(1(2(z0))))))))))))), 0'(2(1(2(1(2(2(1(2(1(1(2(z0)))))))))))), 2'(1(2(1(2(2(1(2(1(1(2(z0))))))))))), 1'(2(1(2(2(1(2(1(1(2(z0)))))))))), 2'(1(2(2(1(2(1(1(2(z0))))))))), 1'(2(2(1(2(1(1(2(z0)))))))), 2'(2(1(2(1(1(2(z0))))))), 2'(1(2(1(1(2(z0)))))), 1'(2(1(1(2(z0))))), 2'(1(1(2(z0)))), 1'(1(2(z0))), 1'(2(z0)), 2'(z0)) ENCODE_0(z0) -> c6(0'(encArg(z0))) ENCODE_1(z0) -> c6(1'(encArg(z0))) ENCODE_2(z0) -> c6(2'(encArg(z0))) ENCARG(cons_0(cons_0(z0))) -> c(0'(0(encArg(z0))), ENCARG(cons_0(z0))) ENCARG(cons_0(cons_1(z0))) -> c(0'(1(encArg(z0))), ENCARG(cons_1(z0))) ENCARG(cons_0(cons_2(z0))) -> c(0'(2(encArg(z0))), ENCARG(cons_2(z0))) ENCARG(cons_1(cons_0(z0))) -> c1(1'(0(encArg(z0))), ENCARG(cons_0(z0))) ENCARG(cons_1(cons_1(z0))) -> c1(1'(1(encArg(z0))), ENCARG(cons_1(z0))) ENCARG(cons_1(cons_2(z0))) -> c1(1'(2(encArg(z0))), ENCARG(cons_2(z0))) ENCARG(cons_2(cons_0(z0))) -> c2(2'(0(encArg(z0))), ENCARG(cons_0(z0))) ENCARG(cons_2(cons_1(z0))) -> c2(2'(1(encArg(z0))), ENCARG(cons_1(z0))) ENCARG(cons_2(cons_2(z0))) -> c2(2'(2(encArg(z0))), ENCARG(cons_2(z0))) 0'(c_0(c_2(c_0(c_2(c_2(c_1(c_2(c_1(c_1(c_2(c_1(c_1(c_2(c_1(c_0(c_0(c_0(c_0(c_1(c_1(c_2(c_1(x0))))))))))))))))))))))) -> c7(0'(c_0(1(2(2(1(1(2(2(1(1(2(2(2(2(0(1(2(1(2(1(1(1(0(1(2(2(x0))))))))))))))))))))))))))), 0'(1(2(2(1(1(2(2(1(1(2(2(2(2(0(1(2(1(2(1(1(1(0(1(2(2(x0)))))))))))))))))))))))))), 1'(2(2(1(1(2(2(1(1(2(2(2(2(0(1(2(1(2(1(1(1(0(1(2(2(x0))))))))))))))))))))))))), 2'(2(1(1(2(2(1(1(2(2(2(2(0(1(2(1(2(1(1(1(0(1(2(2(x0)))))))))))))))))))))))), 2'(1(1(2(2(1(1(2(2(2(2(0(1(2(1(2(1(1(1(0(1(2(2(x0))))))))))))))))))))))), 1'(1(2(2(1(1(2(2(2(2(0(1(2(1(2(1(1(1(0(1(2(2(x0)))))))))))))))))))))), 1'(2(2(1(1(2(2(2(2(0(1(2(1(2(1(1(1(0(1(2(2(x0))))))))))))))))))))), 2'(2(1(1(2(2(2(2(0(1(2(1(2(1(1(1(0(1(2(2(x0)))))))))))))))))))), 2'(1(1(2(2(2(2(0(1(2(1(2(1(1(1(0(1(2(2(x0))))))))))))))))))), 1'(1(2(2(2(2(0(1(2(1(2(1(1(1(0(1(2(2(x0)))))))))))))))))), 1'(2(2(2(2(0(1(2(1(2(1(1(1(0(1(2(2(x0))))))))))))))))), 2'(2(2(2(0(1(2(1(2(1(1(1(0(1(2(2(x0)))))))))))))))), 2'(2(2(0(1(2(1(2(1(1(1(0(1(2(2(x0))))))))))))))), 2'(2(0(1(2(1(2(1(1(1(0(1(2(2(x0)))))))))))))), 2'(0(1(2(1(2(1(1(1(0(1(2(2(x0))))))))))))), 0'(1(2(1(2(1(1(1(0(1(2(2(x0)))))))))))), 1'(2(1(2(1(1(1(0(1(2(2(x0))))))))))), 2'(1(2(1(1(1(0(1(2(2(x0)))))))))), 1'(2(1(1(1(0(1(2(2(x0))))))))), 2'(1(1(1(0(1(2(2(x0)))))))), 1'(1(1(0(1(2(2(x0))))))), 1'(1(0(1(2(2(x0)))))), 1'(0(1(2(2(x0))))), 0'(1(2(2(x0)))), 1'(2(2(x0))), 2'(2(x0)), 2'(x0)) 0'(c_0(c_2(c_0(c_2(c_2(c_1(c_2(c_1(c_1(c_2(c_1(c_1(c_2(c_1(c_0(c_0(c_0(c_0(c_1(c_1(c_2(c_1(x0))))))))))))))))))))))) -> c7(0'(0(c_1(2(2(1(1(2(2(1(1(2(2(2(2(0(1(2(1(2(1(1(1(0(1(2(2(x0))))))))))))))))))))))))))), 0'(1(2(2(1(1(2(2(1(1(2(2(2(2(0(1(2(1(2(1(1(1(0(1(2(2(x0)))))))))))))))))))))))))), 1'(2(2(1(1(2(2(1(1(2(2(2(2(0(1(2(1(2(1(1(1(0(1(2(2(x0))))))))))))))))))))))))), 2'(2(1(1(2(2(1(1(2(2(2(2(0(1(2(1(2(1(1(1(0(1(2(2(x0)))))))))))))))))))))))), 2'(1(1(2(2(1(1(2(2(2(2(0(1(2(1(2(1(1(1(0(1(2(2(x0))))))))))))))))))))))), 1'(1(2(2(1(1(2(2(2(2(0(1(2(1(2(1(1(1(0(1(2(2(x0)))))))))))))))))))))), 1'(2(2(1(1(2(2(2(2(0(1(2(1(2(1(1(1(0(1(2(2(x0))))))))))))))))))))), 2'(2(1(1(2(2(2(2(0(1(2(1(2(1(1(1(0(1(2(2(x0)))))))))))))))))))), 2'(1(1(2(2(2(2(0(1(2(1(2(1(1(1(0(1(2(2(x0))))))))))))))))))), 1'(1(2(2(2(2(0(1(2(1(2(1(1(1(0(1(2(2(x0)))))))))))))))))), 1'(2(2(2(2(0(1(2(1(2(1(1(1(0(1(2(2(x0))))))))))))))))), 2'(2(2(2(0(1(2(1(2(1(1(1(0(1(2(2(x0)))))))))))))))), 2'(2(2(0(1(2(1(2(1(1(1(0(1(2(2(x0))))))))))))))), 2'(2(0(1(2(1(2(1(1(1(0(1(2(2(x0)))))))))))))), 2'(0(1(2(1(2(1(1(1(0(1(2(2(x0))))))))))))), 0'(1(2(1(2(1(1(1(0(1(2(2(x0)))))))))))), 1'(2(1(2(1(1(1(0(1(2(2(x0))))))))))), 2'(1(2(1(1(1(0(1(2(2(x0)))))))))), 1'(2(1(1(1(0(1(2(2(x0))))))))), 2'(1(1(1(0(1(2(2(x0)))))))), 1'(1(1(0(1(2(2(x0))))))), 1'(1(0(1(2(2(x0)))))), 1'(0(1(2(2(x0))))), 0'(1(2(2(x0)))), 1'(2(2(x0))), 2'(2(x0)), 2'(x0)) 0'(c_0(c_2(c_0(c_2(c_2(c_1(c_2(c_1(c_1(c_2(c_1(c_1(c_2(c_1(c_0(c_0(c_0(c_0(c_1(c_1(c_2(c_1(x0))))))))))))))))))))))) -> c7(0'(0(1(c_2(2(1(1(2(2(1(1(2(2(2(2(0(1(2(1(2(1(1(1(0(1(2(2(x0))))))))))))))))))))))))))), 0'(1(2(2(1(1(2(2(1(1(2(2(2(2(0(1(2(1(2(1(1(1(0(1(2(2(x0)))))))))))))))))))))))))), 1'(2(2(1(1(2(2(1(1(2(2(2(2(0(1(2(1(2(1(1(1(0(1(2(2(x0))))))))))))))))))))))))), 2'(2(1(1(2(2(1(1(2(2(2(2(0(1(2(1(2(1(1(1(0(1(2(2(x0)))))))))))))))))))))))), 2'(1(1(2(2(1(1(2(2(2(2(0(1(2(1(2(1(1(1(0(1(2(2(x0))))))))))))))))))))))), 1'(1(2(2(1(1(2(2(2(2(0(1(2(1(2(1(1(1(0(1(2(2(x0)))))))))))))))))))))), 1'(2(2(1(1(2(2(2(2(0(1(2(1(2(1(1(1(0(1(2(2(x0))))))))))))))))))))), 2'(2(1(1(2(2(2(2(0(1(2(1(2(1(1(1(0(1(2(2(x0)))))))))))))))))))), 2'(1(1(2(2(2(2(0(1(2(1(2(1(1(1(0(1(2(2(x0))))))))))))))))))), 1'(1(2(2(2(2(0(1(2(1(2(1(1(1(0(1(2(2(x0)))))))))))))))))), 1'(2(2(2(2(0(1(2(1(2(1(1(1(0(1(2(2(x0))))))))))))))))), 2'(2(2(2(0(1(2(1(2(1(1(1(0(1(2(2(x0)))))))))))))))), 2'(2(2(0(1(2(1(2(1(1(1(0(1(2(2(x0))))))))))))))), 2'(2(0(1(2(1(2(1(1(1(0(1(2(2(x0)))))))))))))), 2'(0(1(2(1(2(1(1(1(0(1(2(2(x0))))))))))))), 0'(1(2(1(2(1(1(1(0(1(2(2(x0)))))))))))), 1'(2(1(2(1(1(1(0(1(2(2(x0))))))))))), 2'(1(2(1(1(1(0(1(2(2(x0)))))))))), 1'(2(1(1(1(0(1(2(2(x0))))))))), 2'(1(1(1(0(1(2(2(x0)))))))), 1'(1(1(0(1(2(2(x0))))))), 1'(1(0(1(2(2(x0)))))), 1'(0(1(2(2(x0))))), 0'(1(2(2(x0)))), 1'(2(2(x0))), 2'(2(x0)), 2'(x0)) 0'(c_0(c_2(c_0(c_2(c_2(c_1(c_2(c_1(c_1(c_2(c_1(c_1(c_2(c_1(c_0(c_0(c_0(c_0(c_1(c_1(c_2(c_1(x0))))))))))))))))))))))) -> c7(0'(0(1(2(c_2(1(1(2(2(1(1(2(2(2(2(0(1(2(1(2(1(1(1(0(1(2(2(x0))))))))))))))))))))))))))), 0'(1(2(2(1(1(2(2(1(1(2(2(2(2(0(1(2(1(2(1(1(1(0(1(2(2(x0)))))))))))))))))))))))))), 1'(2(2(1(1(2(2(1(1(2(2(2(2(0(1(2(1(2(1(1(1(0(1(2(2(x0))))))))))))))))))))))))), 2'(2(1(1(2(2(1(1(2(2(2(2(0(1(2(1(2(1(1(1(0(1(2(2(x0)))))))))))))))))))))))), 2'(1(1(2(2(1(1(2(2(2(2(0(1(2(1(2(1(1(1(0(1(2(2(x0))))))))))))))))))))))), 1'(1(2(2(1(1(2(2(2(2(0(1(2(1(2(1(1(1(0(1(2(2(x0)))))))))))))))))))))), 1'(2(2(1(1(2(2(2(2(0(1(2(1(2(1(1(1(0(1(2(2(x0))))))))))))))))))))), 2'(2(1(1(2(2(2(2(0(1(2(1(2(1(1(1(0(1(2(2(x0)))))))))))))))))))), 2'(1(1(2(2(2(2(0(1(2(1(2(1(1(1(0(1(2(2(x0))))))))))))))))))), 1'(1(2(2(2(2(0(1(2(1(2(1(1(1(0(1(2(2(x0)))))))))))))))))), 1'(2(2(2(2(0(1(2(1(2(1(1(1(0(1(2(2(x0))))))))))))))))), 2'(2(2(2(0(1(2(1(2(1(1(1(0(1(2(2(x0)))))))))))))))), 2'(2(2(0(1(2(1(2(1(1(1(0(1(2(2(x0))))))))))))))), 2'(2(0(1(2(1(2(1(1(1(0(1(2(2(x0)))))))))))))), 2'(0(1(2(1(2(1(1(1(0(1(2(2(x0))))))))))))), 0'(1(2(1(2(1(1(1(0(1(2(2(x0)))))))))))), 1'(2(1(2(1(1(1(0(1(2(2(x0))))))))))), 2'(1(2(1(1(1(0(1(2(2(x0)))))))))), 1'(2(1(1(1(0(1(2(2(x0))))))))), 2'(1(1(1(0(1(2(2(x0)))))))), 1'(1(1(0(1(2(2(x0))))))), 1'(1(0(1(2(2(x0)))))), 1'(0(1(2(2(x0))))), 0'(1(2(2(x0)))), 1'(2(2(x0))), 2'(2(x0)), 2'(x0)) 0'(c_0(c_2(c_0(c_2(c_2(c_1(c_2(c_1(c_1(c_2(c_1(c_1(c_2(c_1(c_0(c_0(c_0(c_0(c_1(c_1(c_2(c_1(x0))))))))))))))))))))))) -> c7(0'(0(1(2(2(c_1(1(2(2(1(1(2(2(2(2(0(1(2(1(2(1(1(1(0(1(2(2(x0))))))))))))))))))))))))))), 0'(1(2(2(1(1(2(2(1(1(2(2(2(2(0(1(2(1(2(1(1(1(0(1(2(2(x0)))))))))))))))))))))))))), 1'(2(2(1(1(2(2(1(1(2(2(2(2(0(1(2(1(2(1(1(1(0(1(2(2(x0))))))))))))))))))))))))), 2'(2(1(1(2(2(1(1(2(2(2(2(0(1(2(1(2(1(1(1(0(1(2(2(x0)))))))))))))))))))))))), 2'(1(1(2(2(1(1(2(2(2(2(0(1(2(1(2(1(1(1(0(1(2(2(x0))))))))))))))))))))))), 1'(1(2(2(1(1(2(2(2(2(0(1(2(1(2(1(1(1(0(1(2(2(x0)))))))))))))))))))))), 1'(2(2(1(1(2(2(2(2(0(1(2(1(2(1(1(1(0(1(2(2(x0))))))))))))))))))))), 2'(2(1(1(2(2(2(2(0(1(2(1(2(1(1(1(0(1(2(2(x0)))))))))))))))))))), 2'(1(1(2(2(2(2(0(1(2(1(2(1(1(1(0(1(2(2(x0))))))))))))))))))), 1'(1(2(2(2(2(0(1(2(1(2(1(1(1(0(1(2(2(x0)))))))))))))))))), 1'(2(2(2(2(0(1(2(1(2(1(1(1(0(1(2(2(x0))))))))))))))))), 2'(2(2(2(0(1(2(1(2(1(1(1(0(1(2(2(x0)))))))))))))))), 2'(2(2(0(1(2(1(2(1(1(1(0(1(2(2(x0))))))))))))))), 2'(2(0(1(2(1(2(1(1(1(0(1(2(2(x0)))))))))))))), 2'(0(1(2(1(2(1(1(1(0(1(2(2(x0))))))))))))), 0'(1(2(1(2(1(1(1(0(1(2(2(x0)))))))))))), 1'(2(1(2(1(1(1(0(1(2(2(x0))))))))))), 2'(1(2(1(1(1(0(1(2(2(x0)))))))))), 1'(2(1(1(1(0(1(2(2(x0))))))))), 2'(1(1(1(0(1(2(2(x0)))))))), 1'(1(1(0(1(2(2(x0))))))), 1'(1(0(1(2(2(x0)))))), 1'(0(1(2(2(x0))))), 0'(1(2(2(x0)))), 1'(2(2(x0))), 2'(2(x0)), 2'(x0)) 0'(c_0(c_2(c_0(c_2(c_2(c_1(c_2(c_1(c_1(c_2(c_1(c_1(c_2(c_1(c_0(c_0(c_0(c_0(c_1(c_1(c_2(c_1(x0))))))))))))))))))))))) -> c7(0'(0(1(2(2(1(c_1(2(2(1(1(2(2(2(2(0(1(2(1(2(1(1(1(0(1(2(2(x0))))))))))))))))))))))))))), 0'(1(2(2(1(1(2(2(1(1(2(2(2(2(0(1(2(1(2(1(1(1(0(1(2(2(x0)))))))))))))))))))))))))), 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2'(2(2(0(1(2(1(2(1(1(1(0(1(2(2(c_1(c_2(c_1(c_0(c_2(c_1(c_2(c_0(c_0(c_0(c_0(c_2(c_0(c_0(c_0(c_2(c_2(c_0(c_0(c_0(c_0(c_1(z0))))))))))))))))))))))))))))))))))))), 2'(2(0(1(2(1(2(1(1(1(0(1(2(2(c_1(c_2(c_1(c_0(c_2(c_1(c_2(c_0(c_0(c_0(c_0(c_2(c_0(c_0(c_0(c_2(c_2(c_0(c_0(c_0(c_0(c_1(z0)))))))))))))))))))))))))))))))))))), 2'(0(1(2(1(2(1(1(1(0(1(2(2(c_1(c_2(c_1(c_0(c_2(c_1(c_2(c_0(c_0(c_0(c_0(c_2(c_0(c_0(c_0(c_2(c_2(c_0(c_0(c_0(c_0(c_1(z0))))))))))))))))))))))))))))))))))), 0'(1(2(1(2(1(1(1(0(1(2(2(c_1(c_2(c_1(c_0(c_2(c_1(c_2(c_0(c_0(c_0(c_0(c_2(c_0(c_0(c_0(c_2(c_2(c_0(c_0(c_0(c_0(c_1(z0)))))))))))))))))))))))))))))))))), 1'(2(1(2(1(1(1(0(1(2(2(c_1(c_2(c_1(c_0(c_2(c_1(c_2(c_0(c_0(c_0(c_0(c_2(c_0(c_0(c_0(c_2(c_2(c_0(c_0(c_0(c_0(c_1(z0))))))))))))))))))))))))))))))))), 2'(1(2(1(1(1(0(1(2(2(c_1(c_2(c_1(c_0(c_2(c_1(c_2(c_0(c_0(c_0(c_0(c_2(c_0(c_0(c_0(c_2(c_2(c_0(c_0(c_0(c_0(c_1(z0)))))))))))))))))))))))))))))))), 1'(2(1(1(1(0(1(2(2(c_1(c_2(c_1(c_0(c_2(c_1(c_2(c_0(c_0(c_0(c_0(c_2(c_0(c_0(c_0(c_2(c_2(c_0(c_0(c_0(c_0(c_1(z0))))))))))))))))))))))))))))))), 2'(1(1(1(0(1(2(2(c_1(c_2(c_1(c_0(c_2(c_1(c_2(c_0(c_0(c_0(c_0(c_2(c_0(c_0(c_0(c_2(c_2(c_0(c_0(c_0(c_0(c_1(z0)))))))))))))))))))))))))))))), 1'(1(1(0(1(2(2(c_1(c_2(c_1(c_0(c_2(c_1(c_2(c_0(c_0(c_0(c_0(c_2(c_0(c_0(c_0(c_2(c_2(c_0(c_0(c_0(c_0(c_1(z0))))))))))))))))))))))))))))), 1'(1(0(1(2(2(c_1(c_2(c_1(c_0(c_2(c_1(c_2(c_0(c_0(c_0(c_0(c_2(c_0(c_0(c_0(c_2(c_2(c_0(c_0(c_0(c_0(c_1(z0)))))))))))))))))))))))))))), 1'(0(1(2(2(c_1(c_2(c_1(c_0(c_2(c_1(c_2(c_0(c_0(c_0(c_0(c_2(c_0(c_0(c_0(c_2(c_2(c_0(c_0(c_0(c_0(c_1(z0))))))))))))))))))))))))))), 0'(1(2(2(c_1(c_2(c_1(c_0(c_2(c_1(c_2(c_0(c_0(c_0(c_0(c_2(c_0(c_0(c_0(c_2(c_2(c_0(c_0(c_0(c_0(c_1(z0)))))))))))))))))))))))))), 1'(2(2(c_1(c_2(c_1(c_0(c_2(c_1(c_2(c_0(c_0(c_0(c_0(c_2(c_0(c_0(c_0(c_2(c_2(c_0(c_0(c_0(c_0(c_1(z0))))))))))))))))))))))))), 2'(2(c_1(c_2(c_1(c_0(c_2(c_1(c_2(c_0(c_0(c_0(c_0(c_2(c_0(c_0(c_0(c_2(c_2(c_0(c_0(c_0(c_0(c_1(z0)))))))))))))))))))))))), 2'(c_1(c_2(c_1(c_0(c_2(c_1(c_2(c_0(c_0(c_0(c_0(c_2(c_0(c_0(c_0(c_2(c_2(c_0(c_0(c_0(c_0(c_1(z0)))))))))))))))))))))))) K tuples:none Defined Rule Symbols: encArg_1, 0_1, 1_1, 2_1 Defined Pair Symbols: 0'_1, 1'_1, 2'_1, ENCODE_0_1, ENCODE_1_1, ENCODE_2_1, ENCARG_1 Compound Symbols: c8_27, c9_27, c10_27, c11_27, c12_27, c13_27, c14_27, c15_27, c16_27, c18_27, c19_27, c20_27, c21_27, c22_27, c23_27, c24_27, c25_27, c26_27, c27_27, c28_27, c30_27, c31_27, c32_27, c33_27, c34_27, c35_27, c36_27, c37_27, c38_27, c39_27, c40_27, c41_27, c42_27, c43_27, c44_27, c45_27, c46_27, c47_27, c48_27, c6_1, c_2, c1_2, c2_2, c7_27 ---------------------------------------- (57) CdtNarrowingProof (BOTH BOUNDS(ID, ID)) Use narrowing to replace 0'(c_1(c_1(c_1(c_2(c_2(c_1(c_0(c_0(c_2(c_2(c_2(c_2(c_0(c_2(c_0(c_0(c_0(c_0(c_1(c_0(c_0(c_2(z0))))))))))))))))))))))) -> 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0'(1(2(2(1(0(0(2(2(c_1(c_2(c_1(c_0(c_2(c_1(c_2(c_0(c_0(c_0(c_0(c_2(c_0(c_0(c_0(c_2(c_2(c_0(c_0(c_0(c_0(c_1(z0))))))))))))))))))))))))))))))), 1'(2(2(1(0(0(2(2(c_1(c_2(c_1(c_0(c_2(c_1(c_2(c_0(c_0(c_0(c_0(c_2(c_0(c_0(c_0(c_2(c_2(c_0(c_0(c_0(c_0(c_1(z0)))))))))))))))))))))))))))))), 2'(2(1(0(0(2(2(c_1(c_2(c_1(c_0(c_2(c_1(c_2(c_0(c_0(c_0(c_0(c_2(c_0(c_0(c_0(c_2(c_2(c_0(c_0(c_0(c_0(c_1(z0))))))))))))))))))))))))))))), 2'(1(0(0(2(2(c_1(c_2(c_1(c_0(c_2(c_1(c_2(c_0(c_0(c_0(c_0(c_2(c_0(c_0(c_0(c_2(c_2(c_0(c_0(c_0(c_0(c_1(z0)))))))))))))))))))))))))))), 1'(0(0(2(2(c_1(c_2(c_1(c_0(c_2(c_1(c_2(c_0(c_0(c_0(c_0(c_2(c_0(c_0(c_0(c_2(c_2(c_0(c_0(c_0(c_0(c_1(z0))))))))))))))))))))))))))), 0'(0(2(2(c_1(c_2(c_1(c_0(c_2(c_1(c_2(c_0(c_0(c_0(c_0(c_2(c_0(c_0(c_0(c_2(c_2(c_0(c_0(c_0(c_0(c_1(z0)))))))))))))))))))))))))), 0'(2(2(c_1(c_2(c_1(c_0(c_2(c_1(c_2(c_0(c_0(c_0(c_0(c_2(c_0(c_0(c_0(c_2(c_2(c_0(c_0(c_0(c_0(c_1(z0))))))))))))))))))))))))), 2'(2(c_1(c_2(c_1(c_0(c_2(c_1(c_2(c_0(c_0(c_0(c_0(c_2(c_0(c_0(c_0(c_2(c_2(c_0(c_0(c_0(c_0(c_1(z0)))))))))))))))))))))))), 2'(c_1(c_2(c_1(c_0(c_2(c_1(c_2(c_0(c_0(c_0(c_0(c_2(c_0(c_0(c_0(c_2(c_2(c_0(c_0(c_0(c_0(c_1(z0)))))))))))))))))))))))) ---------------------------------------- (58) Obligation: Complexity Dependency Tuples Problem Rules: encArg(cons_0(z0)) -> 0(encArg(z0)) encArg(cons_1(z0)) -> 1(encArg(z0)) encArg(cons_2(z0)) -> 2(encArg(z0)) 0(z0) -> c_0(z0) 0(c_0(c_2(c_0(c_2(c_2(c_1(c_2(c_1(c_1(c_2(c_1(c_1(c_2(c_1(c_0(c_0(c_0(c_0(c_1(c_1(c_2(c_1(z0))))))))))))))))))))))) -> 0(0(1(2(2(1(1(2(2(1(1(2(2(2(2(0(1(2(1(2(1(1(1(0(1(2(2(z0))))))))))))))))))))))))))) 0(c_1(c_1(c_1(c_2(c_2(c_1(c_0(c_0(c_2(c_2(c_2(c_2(c_0(c_2(c_0(c_0(c_0(c_0(c_1(c_0(c_0(c_2(z0))))))))))))))))))))))) -> 0(2(1(1(1(1(2(2(1(1(0(1(1(2(1(2(1(0(0(1(2(2(1(0(0(2(2(z0))))))))))))))))))))))))))) 0(c_1(c_1(c_0(c_1(c_1(c_1(c_2(c_2(c_0(c_2(c_0(c_1(c_2(c_2(c_2(c_0(c_1(c_2(c_0(c_1(c_0(c_2(z0))))))))))))))))))))))) -> 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2(1(2(1(2(2(2(1(2(2(0(2(2(1(0(2(1(2(2(0(1(0(1(1(2(2(2(z0))))))))))))))))))))))))))) 2(z0) -> c_2(z0) 2(c_2(c_1(c_1(c_1(c_0(c_0(c_2(c_1(c_0(c_2(c_1(c_2(c_0(c_0(c_2(c_1(c_0(c_1(c_1(c_2(c_2(c_1(z0))))))))))))))))))))))) -> 2(1(2(2(0(1(2(1(1(0(1(2(1(0(0(1(2(2(1(2(1(0(2(1(2(2(1(z0))))))))))))))))))))))))))) 2(c_2(c_1(c_1(c_2(c_0(c_0(c_2(c_2(c_2(c_2(c_1(c_1(c_1(c_1(c_1(c_2(c_1(c_2(c_0(c_0(c_1(c_1(z0))))))))))))))))))))))) -> 2(2(1(1(2(2(1(2(1(2(2(0(0(0(2(1(0(2(2(1(2(2(0(1(1(2(2(z0))))))))))))))))))))))))))) 2(c_1(c_0(c_1(c_0(c_0(c_2(c_2(c_2(c_0(c_1(c_0(c_0(c_2(c_0(c_0(c_1(c_2(c_0(c_2(c_2(c_2(c_0(z0))))))))))))))))))))))) -> 2(1(1(2(0(1(2(0(0(2(0(1(2(2(1(1(1(2(2(2(0(0(1(1(0(2(0(z0))))))))))))))))))))))))))) 2(c_0(c_2(c_0(c_1(c_0(c_1(c_1(c_2(c_0(c_1(c_1(c_2(c_2(c_1(c_0(c_2(c_0(c_2(c_0(c_2(c_2(c_2(z0))))))))))))))))))))))) -> 2(0(0(1(1(2(0(2(2(1(1(2(2(0(1(2(2(2(0(0(2(0(2(2(2(0(2(z0))))))))))))))))))))))))))) 2(c_2(c_0(c_1(c_2(c_2(c_2(c_0(c_2(c_2(c_2(c_0(c_2(c_2(c_2(c_2(c_1(c_0(c_1(c_0(c_0(c_1(c_0(z0))))))))))))))))))))))) -> 2(2(0(1(1(2(2(2(1(1(2(1(0(0(1(2(2(1(2(1(0(2(2(0(0(2(0(z0))))))))))))))))))))))))))) 2(c_2(c_1(c_1(c_1(c_2(c_0(c_1(c_1(c_2(c_2(c_0(c_1(c_1(c_1(c_1(c_1(c_2(c_2(c_2(c_0(c_2(c_1(z0))))))))))))))))))))))) -> 1(2(1(2(2(1(1(1(1(2(2(2(1(2(0(0(0(1(2(0(0(1(2(2(2(2(2(z0))))))))))))))))))))))))))) 2(c_1(c_1(c_0(c_2(c_2(c_2(c_0(c_1(c_2(c_1(c_1(c_0(c_1(c_2(c_0(c_0(c_1(c_1(c_1(c_1(c_2(c_2(z0))))))))))))))))))))))) -> 2(0(0(2(1(0(0(0(0(0(1(2(1(1(2(1(1(2(1(2(2(0(1(1(1(2(2(z0))))))))))))))))))))))))))) 2(c_2(c_1(c_2(c_1(c_2(c_2(c_2(c_0(c_1(c_2(c_1(c_2(c_2(c_2(c_2(c_1(c_1(c_0(c_1(c_0(c_1(c_0(z0))))))))))))))))))))))) -> 1(2(1(2(1(2(0(1(2(2(0(1(1(1(2(2(1(1(1(2(2(0(1(0(1(2(2(z0))))))))))))))))))))))))))) 2(c_0(c_2(c_0(c_1(c_2(c_2(c_0(c_0(c_2(c_2(c_2(c_1(c_1(c_1(c_2(c_1(c_0(c_2(c_0(c_2(c_2(c_0(z0))))))))))))))))))))))) -> 2(1(1(1(2(2(0(0(0(2(1(0(0(0(1(1(0(2(2(0(2(2(2(2(2(2(0(z0))))))))))))))))))))))))))) 2(c_2(c_0(c_0(c_2(c_1(c_2(c_0(c_1(c_2(c_0(c_2(c_1(c_0(c_1(c_1(c_2(c_2(c_1(c_0(c_1(c_0(c_2(z0))))))))))))))))))))))) -> 2(2(2(2(1(2(1(2(0(2(2(2(2(2(0(1(2(0(2(1(0(0(0(2(0(2(2(z0))))))))))))))))))))))))))) 2(c_2(c_2(c_0(c_0(c_1(c_0(c_0(c_2(c_0(c_0(c_2(c_1(c_1(c_2(c_1(c_0(c_1(c_2(c_2(c_2(c_1(c_0(z0))))))))))))))))))))))) -> 1(2(2(2(2(0(1(2(1(2(0(1(2(1(2(1(0(1(0(1(0(1(1(2(2(1(0(z0))))))))))))))))))))))))))) 2(c_1(c_0(c_1(c_1(c_2(c_0(c_0(c_2(c_1(c_0(c_0(c_0(c_1(c_2(c_1(c_1(c_2(c_0(c_2(c_1(c_2(c_1(z0))))))))))))))))))))))) -> 2(0(2(2(0(0(2(2(1(1(1(2(0(1(0(1(2(2(2(2(2(0(0(0(2(2(1(z0))))))))))))))))))))))))))) 2(c_2(c_1(c_2(c_2(c_0(c_0(c_2(c_1(c_1(c_0(c_2(c_2(c_0(c_2(c_2(c_0(c_2(c_2(c_1(c_2(c_0(c_2(z0))))))))))))))))))))))) -> 1(2(1(1(1(2(2(2(1(2(1(0(2(1(1(1(1(2(2(0(0(1(1(0(2(1(2(z0))))))))))))))))))))))))))) 2(c_2(c_0(c_0(c_1(c_2(c_1(c_1(c_2(c_1(c_0(c_0(c_0(c_0(c_0(c_2(c_1(c_2(c_1(c_1(c_2(c_0(c_2(z0))))))))))))))))))))))) -> 2(1(1(2(2(2(2(1(2(1(0(0(2(1(0(2(2(0(1(1(0(2(0(0(0(0(2(z0))))))))))))))))))))))))))) 2(c_0(c_1(c_0(c_0(c_0(c_1(c_0(c_0(c_0(c_0(c_0(c_0(c_0(c_1(c_0(c_2(c_0(c_0(c_2(c_2(c_2(c_2(z0))))))))))))))))))))))) -> 2(2(2(1(1(2(1(2(0(1(1(2(1(0(2(1(0(0(1(0(1(1(2(1(2(2(2(z0))))))))))))))))))))))))))) 2(c_2(c_0(c_0(c_1(c_0(c_1(c_2(c_2(c_2(c_1(c_1(c_0(c_0(c_1(c_2(c_2(c_1(c_2(c_0(c_1(c_2(c_1(z0))))))))))))))))))))))) -> 2(2(2(2(0(2(0(2(2(1(2(1(0(1(1(2(2(0(0(2(1(2(1(2(1(2(0(z0))))))))))))))))))))))))))) 2(c_2(c_1(c_1(c_2(c_2(c_1(c_2(c_1(c_1(c_1(c_0(c_0(c_2(c_1(c_1(c_0(c_2(c_0(c_0(c_1(c_1(c_2(z0))))))))))))))))))))))) -> 2(1(1(1(2(2(2(1(1(0(2(2(1(0(1(0(2(2(1(2(0(0(0(1(2(1(2(z0))))))))))))))))))))))))))) 2(c_2(c_0(c_1(c_1(c_0(c_0(c_1(c_2(c_1(c_0(c_2(c_1(c_2(c_2(c_2(c_1(c_0(c_0(c_2(c_2(c_2(c_0(z0))))))))))))))))))))))) -> 2(2(1(0(0(0(0(2(2(1(1(2(2(1(0(2(1(2(1(2(2(1(2(2(2(0(0(z0))))))))))))))))))))))))))) 2(c_1(c_2(c_1(c_0(c_2(c_1(c_2(c_0(c_0(c_0(c_0(c_2(c_0(c_0(c_0(c_2(c_2(c_0(c_0(c_0(c_0(c_1(z0))))))))))))))))))))))) -> 2(1(2(1(2(0(0(2(1(0(0(2(2(0(1(0(2(1(2(1(2(2(1(2(1(1(2(z0))))))))))))))))))))))))))) Tuples: 0'(c_1(c_1(c_0(c_1(c_1(c_1(c_2(c_2(c_0(c_2(c_0(c_1(c_2(c_2(c_2(c_0(c_1(c_2(c_0(c_1(c_0(c_2(z0))))))))))))))))))))))) -> c9(0'(2(0(1(0(2(0(2(2(2(1(2(1(1(2(2(2(2(2(2(2(1(0(0(0(2(2(z0))))))))))))))))))))))))))), 2'(0(1(0(2(0(2(2(2(1(2(1(1(2(2(2(2(2(2(2(1(0(0(0(2(2(z0)))))))))))))))))))))))))), 0'(1(0(2(0(2(2(2(1(2(1(1(2(2(2(2(2(2(2(1(0(0(0(2(2(z0))))))))))))))))))))))))), 1'(0(2(0(2(2(2(1(2(1(1(2(2(2(2(2(2(2(1(0(0(0(2(2(z0)))))))))))))))))))))))), 0'(2(0(2(2(2(1(2(1(1(2(2(2(2(2(2(2(1(0(0(0(2(2(z0))))))))))))))))))))))), 2'(0(2(2(2(1(2(1(1(2(2(2(2(2(2(2(1(0(0(0(2(2(z0)))))))))))))))))))))), 0'(2(2(2(1(2(1(1(2(2(2(2(2(2(2(1(0(0(0(2(2(z0))))))))))))))))))))), 2'(2(2(1(2(1(1(2(2(2(2(2(2(2(1(0(0(0(2(2(z0)))))))))))))))))))), 2'(2(1(2(1(1(2(2(2(2(2(2(2(1(0(0(0(2(2(z0))))))))))))))))))), 2'(1(2(1(1(2(2(2(2(2(2(2(1(0(0(0(2(2(z0)))))))))))))))))), 1'(2(1(1(2(2(2(2(2(2(2(1(0(0(0(2(2(z0))))))))))))))))), 2'(1(1(2(2(2(2(2(2(2(1(0(0(0(2(2(z0)))))))))))))))), 1'(1(2(2(2(2(2(2(2(1(0(0(0(2(2(z0))))))))))))))), 1'(2(2(2(2(2(2(2(1(0(0(0(2(2(z0)))))))))))))), 2'(2(2(2(2(2(2(1(0(0(0(2(2(z0))))))))))))), 2'(2(2(2(2(2(1(0(0(0(2(2(z0)))))))))))), 2'(2(2(2(2(1(0(0(0(2(2(z0))))))))))), 2'(2(2(2(1(0(0(0(2(2(z0)))))))))), 2'(2(2(1(0(0(0(2(2(z0))))))))), 2'(2(1(0(0(0(2(2(z0)))))))), 2'(1(0(0(0(2(2(z0))))))), 1'(0(0(0(2(2(z0)))))), 0'(0(0(2(2(z0))))), 0'(0(2(2(z0)))), 0'(2(2(z0))), 2'(2(z0)), 2'(z0)) 0'(c_1(c_0(c_0(c_1(c_2(c_2(c_1(c_0(c_1(c_2(c_1(c_2(c_0(c_1(c_0(c_2(c_2(c_0(c_1(c_2(c_1(c_0(z0))))))))))))))))))))))) -> c10(0'(0(0(1(2(2(2(2(2(2(2(0(0(0(0(1(2(1(2(2(2(1(0(2(0(2(0(z0))))))))))))))))))))))))))), 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1'(0(1(2(2(2(1(0(2(1(1(2(1(0(1(1(1(2(2(2(z0)))))))))))))))))))), 0'(1(2(2(2(1(0(2(1(1(2(1(0(1(1(1(2(2(2(z0))))))))))))))))))), 1'(2(2(2(1(0(2(1(1(2(1(0(1(1(1(2(2(2(z0)))))))))))))))))), 2'(2(2(1(0(2(1(1(2(1(0(1(1(1(2(2(2(z0))))))))))))))))), 2'(2(1(0(2(1(1(2(1(0(1(1(1(2(2(2(z0)))))))))))))))), 2'(1(0(2(1(1(2(1(0(1(1(1(2(2(2(z0))))))))))))))), 1'(0(2(1(1(2(1(0(1(1(1(2(2(2(z0)))))))))))))), 0'(2(1(1(2(1(0(1(1(1(2(2(2(z0))))))))))))), 2'(1(1(2(1(0(1(1(1(2(2(2(z0)))))))))))), 1'(1(2(1(0(1(1(1(2(2(2(z0))))))))))), 1'(2(1(0(1(1(1(2(2(2(z0)))))))))), 2'(1(0(1(1(1(2(2(2(z0))))))))), 1'(0(1(1(1(2(2(2(z0)))))))), 0'(1(1(1(2(2(2(z0))))))), 1'(1(1(2(2(2(z0)))))), 1'(1(2(2(2(z0))))), 1'(2(2(2(z0)))), 2'(2(2(z0))), 2'(2(z0)), 2'(z0)) 1'(c_1(c_0(c_1(c_2(c_2(c_2(c_2(c_1(c_0(c_2(c_1(c_2(c_0(c_0(c_0(c_1(c_0(c_2(c_1(c_1(c_1(c_2(z0))))))))))))))))))))))) -> c20(2'(1(2(1(2(2(2(2(2(0(0(0(0(2(1(2(2(2(2(1(2(2(2(0(0(2(2(z0))))))))))))))))))))))))))), 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2'(2(1(2(2(2(0(0(2(2(z0)))))))))), 2'(1(2(2(2(0(0(2(2(z0))))))))), 1'(2(2(2(0(0(2(2(z0)))))))), 2'(2(2(0(0(2(2(z0))))))), 2'(2(0(0(2(2(z0)))))), 2'(0(0(2(2(z0))))), 0'(0(2(2(z0)))), 0'(2(2(z0))), 2'(2(z0)), 2'(z0)) 1'(c_1(c_2(c_2(c_1(c_0(c_2(c_0(c_1(c_1(c_2(c_2(c_2(c_1(c_0(c_1(c_0(c_0(c_2(c_1(c_1(c_0(c_2(z0))))))))))))))))))))))) -> c21(2'(2(2(1(1(2(2(2(1(2(2(0(0(2(0(0(1(2(0(2(2(1(2(2(2(0(2(z0))))))))))))))))))))))))))), 2'(2(1(1(2(2(2(1(2(2(0(0(2(0(0(1(2(0(2(2(1(2(2(2(0(2(z0)))))))))))))))))))))))))), 2'(1(1(2(2(2(1(2(2(0(0(2(0(0(1(2(0(2(2(1(2(2(2(0(2(z0))))))))))))))))))))))))), 1'(1(2(2(2(1(2(2(0(0(2(0(0(1(2(0(2(2(1(2(2(2(0(2(z0)))))))))))))))))))))))), 1'(2(2(2(1(2(2(0(0(2(0(0(1(2(0(2(2(1(2(2(2(0(2(z0))))))))))))))))))))))), 2'(2(2(1(2(2(0(0(2(0(0(1(2(0(2(2(1(2(2(2(0(2(z0)))))))))))))))))))))), 2'(2(1(2(2(0(0(2(0(0(1(2(0(2(2(1(2(2(2(0(2(z0))))))))))))))))))))), 2'(1(2(2(0(0(2(0(0(1(2(0(2(2(1(2(2(2(0(2(z0)))))))))))))))))))), 1'(2(2(0(0(2(0(0(1(2(0(2(2(1(2(2(2(0(2(z0))))))))))))))))))), 2'(2(0(0(2(0(0(1(2(0(2(2(1(2(2(2(0(2(z0)))))))))))))))))), 2'(0(0(2(0(0(1(2(0(2(2(1(2(2(2(0(2(z0))))))))))))))))), 0'(0(2(0(0(1(2(0(2(2(1(2(2(2(0(2(z0)))))))))))))))), 0'(2(0(0(1(2(0(2(2(1(2(2(2(0(2(z0))))))))))))))), 2'(0(0(1(2(0(2(2(1(2(2(2(0(2(z0)))))))))))))), 0'(0(1(2(0(2(2(1(2(2(2(0(2(z0))))))))))))), 0'(1(2(0(2(2(1(2(2(2(0(2(z0)))))))))))), 1'(2(0(2(2(1(2(2(2(0(2(z0))))))))))), 2'(0(2(2(1(2(2(2(0(2(z0)))))))))), 0'(2(2(1(2(2(2(0(2(z0))))))))), 2'(2(1(2(2(2(0(2(z0)))))))), 2'(1(2(2(2(0(2(z0))))))), 1'(2(2(2(0(2(z0)))))), 2'(2(2(0(2(z0))))), 2'(2(0(2(z0)))), 2'(0(2(z0))), 0'(2(z0)), 2'(z0)) 1'(c_0(c_1(c_0(c_2(c_2(c_2(c_2(c_1(c_0(c_0(c_2(c_0(c_2(c_1(c_2(c_1(c_2(c_1(c_1(c_2(c_0(c_2(z0))))))))))))))))))))))) -> c22(2'(1(2(0(2(0(2(0(2(2(2(2(1(2(1(2(2(2(1(1(2(1(0(1(1(2(2(z0))))))))))))))))))))))))))), 1'(2(0(2(0(2(0(2(2(2(2(1(2(1(2(2(2(1(1(2(1(0(1(1(2(2(z0)))))))))))))))))))))))))), 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2'(c_0(c_1(c_0(c_0(c_0(c_1(c_0(c_0(c_0(c_0(c_0(c_0(c_0(c_1(c_0(c_2(c_0(c_0(c_2(c_2(c_2(c_2(z0))))))))))))))))))))))) -> c44(2'(2(2(1(1(2(1(2(0(1(1(2(1(0(2(1(0(0(1(0(1(1(2(1(2(2(2(z0))))))))))))))))))))))))))), 2'(2(1(1(2(1(2(0(1(1(2(1(0(2(1(0(0(1(0(1(1(2(1(2(2(2(z0)))))))))))))))))))))))))), 2'(1(1(2(1(2(0(1(1(2(1(0(2(1(0(0(1(0(1(1(2(1(2(2(2(z0))))))))))))))))))))))))), 1'(1(2(1(2(0(1(1(2(1(0(2(1(0(0(1(0(1(1(2(1(2(2(2(z0)))))))))))))))))))))))), 1'(2(1(2(0(1(1(2(1(0(2(1(0(0(1(0(1(1(2(1(2(2(2(z0))))))))))))))))))))))), 2'(1(2(0(1(1(2(1(0(2(1(0(0(1(0(1(1(2(1(2(2(2(z0)))))))))))))))))))))), 1'(2(0(1(1(2(1(0(2(1(0(0(1(0(1(1(2(1(2(2(2(z0))))))))))))))))))))), 2'(0(1(1(2(1(0(2(1(0(0(1(0(1(1(2(1(2(2(2(z0)))))))))))))))))))), 0'(1(1(2(1(0(2(1(0(0(1(0(1(1(2(1(2(2(2(z0))))))))))))))))))), 1'(1(2(1(0(2(1(0(0(1(0(1(1(2(1(2(2(2(z0)))))))))))))))))), 1'(2(1(0(2(1(0(0(1(0(1(1(2(1(2(2(2(z0))))))))))))))))), 2'(1(0(2(1(0(0(1(0(1(1(2(1(2(2(2(z0)))))))))))))))), 1'(0(2(1(0(0(1(0(1(1(2(1(2(2(2(z0))))))))))))))), 0'(2(1(0(0(1(0(1(1(2(1(2(2(2(z0)))))))))))))), 2'(1(0(0(1(0(1(1(2(1(2(2(2(z0))))))))))))), 1'(0(0(1(0(1(1(2(1(2(2(2(z0)))))))))))), 0'(0(1(0(1(1(2(1(2(2(2(z0))))))))))), 0'(1(0(1(1(2(1(2(2(2(z0)))))))))), 1'(0(1(1(2(1(2(2(2(z0))))))))), 0'(1(1(2(1(2(2(2(z0)))))))), 1'(1(2(1(2(2(2(z0))))))), 1'(2(1(2(2(2(z0)))))), 2'(1(2(2(2(z0))))), 1'(2(2(2(z0)))), 2'(2(2(z0))), 2'(2(z0)), 2'(z0)) 2'(c_2(c_0(c_0(c_1(c_0(c_1(c_2(c_2(c_2(c_1(c_1(c_0(c_0(c_1(c_2(c_2(c_1(c_2(c_0(c_1(c_2(c_1(z0))))))))))))))))))))))) -> c45(2'(2(2(2(0(2(0(2(2(1(2(1(0(1(1(2(2(0(0(2(1(2(1(2(1(2(0(z0))))))))))))))))))))))))))), 2'(2(2(0(2(0(2(2(1(2(1(0(1(1(2(2(0(0(2(1(2(1(2(1(2(0(z0)))))))))))))))))))))))))), 2'(2(0(2(0(2(2(1(2(1(0(1(1(2(2(0(0(2(1(2(1(2(1(2(0(z0))))))))))))))))))))))))), 2'(0(2(0(2(2(1(2(1(0(1(1(2(2(0(0(2(1(2(1(2(1(2(0(z0)))))))))))))))))))))))), 0'(2(0(2(2(1(2(1(0(1(1(2(2(0(0(2(1(2(1(2(1(2(0(z0))))))))))))))))))))))), 2'(0(2(2(1(2(1(0(1(1(2(2(0(0(2(1(2(1(2(1(2(0(z0)))))))))))))))))))))), 0'(2(2(1(2(1(0(1(1(2(2(0(0(2(1(2(1(2(1(2(0(z0))))))))))))))))))))), 2'(2(1(2(1(0(1(1(2(2(0(0(2(1(2(1(2(1(2(0(z0)))))))))))))))))))), 2'(1(2(1(0(1(1(2(2(0(0(2(1(2(1(2(1(2(0(z0))))))))))))))))))), 1'(2(1(0(1(1(2(2(0(0(2(1(2(1(2(1(2(0(z0)))))))))))))))))), 2'(1(0(1(1(2(2(0(0(2(1(2(1(2(1(2(0(z0))))))))))))))))), 1'(0(1(1(2(2(0(0(2(1(2(1(2(1(2(0(z0)))))))))))))))), 0'(1(1(2(2(0(0(2(1(2(1(2(1(2(0(z0))))))))))))))), 1'(1(2(2(0(0(2(1(2(1(2(1(2(0(z0)))))))))))))), 1'(2(2(0(0(2(1(2(1(2(1(2(0(z0))))))))))))), 2'(2(0(0(2(1(2(1(2(1(2(0(z0)))))))))))), 2'(0(0(2(1(2(1(2(1(2(0(z0))))))))))), 0'(0(2(1(2(1(2(1(2(0(z0)))))))))), 0'(2(1(2(1(2(1(2(0(z0))))))))), 2'(1(2(1(2(1(2(0(z0)))))))), 1'(2(1(2(1(2(0(z0))))))), 2'(1(2(1(2(0(z0)))))), 1'(2(1(2(0(z0))))), 2'(1(2(0(z0)))), 1'(2(0(z0))), 2'(0(z0)), 0'(z0)) 2'(c_2(c_1(c_1(c_2(c_2(c_1(c_2(c_1(c_1(c_1(c_0(c_0(c_2(c_1(c_1(c_0(c_2(c_0(c_0(c_1(c_1(c_2(z0))))))))))))))))))))))) -> c46(2'(1(1(1(2(2(2(1(1(0(2(2(1(0(1(0(2(2(1(2(0(0(0(1(2(1(2(z0))))))))))))))))))))))))))), 1'(1(1(2(2(2(1(1(0(2(2(1(0(1(0(2(2(1(2(0(0(0(1(2(1(2(z0)))))))))))))))))))))))))), 1'(1(2(2(2(1(1(0(2(2(1(0(1(0(2(2(1(2(0(0(0(1(2(1(2(z0))))))))))))))))))))))))), 1'(2(2(2(1(1(0(2(2(1(0(1(0(2(2(1(2(0(0(0(1(2(1(2(z0)))))))))))))))))))))))), 2'(2(2(1(1(0(2(2(1(0(1(0(2(2(1(2(0(0(0(1(2(1(2(z0))))))))))))))))))))))), 2'(2(1(1(0(2(2(1(0(1(0(2(2(1(2(0(0(0(1(2(1(2(z0)))))))))))))))))))))), 2'(1(1(0(2(2(1(0(1(0(2(2(1(2(0(0(0(1(2(1(2(z0))))))))))))))))))))), 1'(1(0(2(2(1(0(1(0(2(2(1(2(0(0(0(1(2(1(2(z0)))))))))))))))))))), 1'(0(2(2(1(0(1(0(2(2(1(2(0(0(0(1(2(1(2(z0))))))))))))))))))), 0'(2(2(1(0(1(0(2(2(1(2(0(0(0(1(2(1(2(z0)))))))))))))))))), 2'(2(1(0(1(0(2(2(1(2(0(0(0(1(2(1(2(z0))))))))))))))))), 2'(1(0(1(0(2(2(1(2(0(0(0(1(2(1(2(z0)))))))))))))))), 1'(0(1(0(2(2(1(2(0(0(0(1(2(1(2(z0))))))))))))))), 0'(1(0(2(2(1(2(0(0(0(1(2(1(2(z0)))))))))))))), 1'(0(2(2(1(2(0(0(0(1(2(1(2(z0))))))))))))), 0'(2(2(1(2(0(0(0(1(2(1(2(z0)))))))))))), 2'(2(1(2(0(0(0(1(2(1(2(z0))))))))))), 2'(1(2(0(0(0(1(2(1(2(z0)))))))))), 1'(2(0(0(0(1(2(1(2(z0))))))))), 2'(0(0(0(1(2(1(2(z0)))))))), 0'(0(0(1(2(1(2(z0))))))), 0'(0(1(2(1(2(z0)))))), 0'(1(2(1(2(z0))))), 1'(2(1(2(z0)))), 2'(1(2(z0))), 1'(2(z0)), 2'(z0)) 2'(c_2(c_0(c_1(c_1(c_0(c_0(c_1(c_2(c_1(c_0(c_2(c_1(c_2(c_2(c_2(c_1(c_0(c_0(c_2(c_2(c_2(c_0(z0))))))))))))))))))))))) -> c47(2'(2(1(0(0(0(0(2(2(1(1(2(2(1(0(2(1(2(1(2(2(1(2(2(2(0(0(z0))))))))))))))))))))))))))), 2'(1(0(0(0(0(2(2(1(1(2(2(1(0(2(1(2(1(2(2(1(2(2(2(0(0(z0)))))))))))))))))))))))))), 1'(0(0(0(0(2(2(1(1(2(2(1(0(2(1(2(1(2(2(1(2(2(2(0(0(z0))))))))))))))))))))))))), 0'(0(0(0(2(2(1(1(2(2(1(0(2(1(2(1(2(2(1(2(2(2(0(0(z0)))))))))))))))))))))))), 0'(0(0(2(2(1(1(2(2(1(0(2(1(2(1(2(2(1(2(2(2(0(0(z0))))))))))))))))))))))), 0'(0(2(2(1(1(2(2(1(0(2(1(2(1(2(2(1(2(2(2(0(0(z0)))))))))))))))))))))), 0'(2(2(1(1(2(2(1(0(2(1(2(1(2(2(1(2(2(2(0(0(z0))))))))))))))))))))), 2'(2(1(1(2(2(1(0(2(1(2(1(2(2(1(2(2(2(0(0(z0)))))))))))))))))))), 2'(1(1(2(2(1(0(2(1(2(1(2(2(1(2(2(2(0(0(z0))))))))))))))))))), 1'(1(2(2(1(0(2(1(2(1(2(2(1(2(2(2(0(0(z0)))))))))))))))))), 1'(2(2(1(0(2(1(2(1(2(2(1(2(2(2(0(0(z0))))))))))))))))), 2'(2(1(0(2(1(2(1(2(2(1(2(2(2(0(0(z0)))))))))))))))), 2'(1(0(2(1(2(1(2(2(1(2(2(2(0(0(z0))))))))))))))), 1'(0(2(1(2(1(2(2(1(2(2(2(0(0(z0)))))))))))))), 0'(2(1(2(1(2(2(1(2(2(2(0(0(z0))))))))))))), 2'(1(2(1(2(2(1(2(2(2(0(0(z0)))))))))))), 1'(2(1(2(2(1(2(2(2(0(0(z0))))))))))), 2'(1(2(2(1(2(2(2(0(0(z0)))))))))), 1'(2(2(1(2(2(2(0(0(z0))))))))), 2'(2(1(2(2(2(0(0(z0)))))))), 2'(1(2(2(2(0(0(z0))))))), 1'(2(2(2(0(0(z0)))))), 2'(2(2(0(0(z0))))), 2'(2(0(0(z0)))), 2'(0(0(z0))), 0'(0(z0)), 0'(z0)) 2'(c_1(c_2(c_1(c_0(c_2(c_1(c_2(c_0(c_0(c_0(c_0(c_2(c_0(c_0(c_0(c_2(c_2(c_0(c_0(c_0(c_0(c_1(z0))))))))))))))))))))))) -> c48(2'(1(2(1(2(0(0(2(1(0(0(2(2(0(1(0(2(1(2(1(2(2(1(2(1(1(2(z0))))))))))))))))))))))))))), 1'(2(1(2(0(0(2(1(0(0(2(2(0(1(0(2(1(2(1(2(2(1(2(1(1(2(z0)))))))))))))))))))))))))), 2'(1(2(0(0(2(1(0(0(2(2(0(1(0(2(1(2(1(2(2(1(2(1(1(2(z0))))))))))))))))))))))))), 1'(2(0(0(2(1(0(0(2(2(0(1(0(2(1(2(1(2(2(1(2(1(1(2(z0)))))))))))))))))))))))), 2'(0(0(2(1(0(0(2(2(0(1(0(2(1(2(1(2(2(1(2(1(1(2(z0))))))))))))))))))))))), 0'(0(2(1(0(0(2(2(0(1(0(2(1(2(1(2(2(1(2(1(1(2(z0)))))))))))))))))))))), 0'(2(1(0(0(2(2(0(1(0(2(1(2(1(2(2(1(2(1(1(2(z0))))))))))))))))))))), 2'(1(0(0(2(2(0(1(0(2(1(2(1(2(2(1(2(1(1(2(z0)))))))))))))))))))), 1'(0(0(2(2(0(1(0(2(1(2(1(2(2(1(2(1(1(2(z0))))))))))))))))))), 0'(0(2(2(0(1(0(2(1(2(1(2(2(1(2(1(1(2(z0)))))))))))))))))), 0'(2(2(0(1(0(2(1(2(1(2(2(1(2(1(1(2(z0))))))))))))))))), 2'(2(0(1(0(2(1(2(1(2(2(1(2(1(1(2(z0)))))))))))))))), 2'(0(1(0(2(1(2(1(2(2(1(2(1(1(2(z0))))))))))))))), 0'(1(0(2(1(2(1(2(2(1(2(1(1(2(z0)))))))))))))), 1'(0(2(1(2(1(2(2(1(2(1(1(2(z0))))))))))))), 0'(2(1(2(1(2(2(1(2(1(1(2(z0)))))))))))), 2'(1(2(1(2(2(1(2(1(1(2(z0))))))))))), 1'(2(1(2(2(1(2(1(1(2(z0)))))))))), 2'(1(2(2(1(2(1(1(2(z0))))))))), 1'(2(2(1(2(1(1(2(z0)))))))), 2'(2(1(2(1(1(2(z0))))))), 2'(1(2(1(1(2(z0)))))), 1'(2(1(1(2(z0))))), 2'(1(1(2(z0)))), 1'(1(2(z0))), 1'(2(z0)), 2'(z0)) ENCODE_0(z0) -> c6(0'(encArg(z0))) ENCODE_1(z0) -> c6(1'(encArg(z0))) ENCODE_2(z0) -> c6(2'(encArg(z0))) ENCARG(cons_0(cons_0(z0))) -> c(0'(0(encArg(z0))), ENCARG(cons_0(z0))) ENCARG(cons_0(cons_1(z0))) -> c(0'(1(encArg(z0))), ENCARG(cons_1(z0))) ENCARG(cons_0(cons_2(z0))) -> c(0'(2(encArg(z0))), ENCARG(cons_2(z0))) ENCARG(cons_1(cons_0(z0))) -> c1(1'(0(encArg(z0))), ENCARG(cons_0(z0))) ENCARG(cons_1(cons_1(z0))) -> c1(1'(1(encArg(z0))), ENCARG(cons_1(z0))) ENCARG(cons_1(cons_2(z0))) -> c1(1'(2(encArg(z0))), ENCARG(cons_2(z0))) ENCARG(cons_2(cons_0(z0))) -> c2(2'(0(encArg(z0))), ENCARG(cons_0(z0))) ENCARG(cons_2(cons_1(z0))) -> c2(2'(1(encArg(z0))), ENCARG(cons_1(z0))) ENCARG(cons_2(cons_2(z0))) -> c2(2'(2(encArg(z0))), ENCARG(cons_2(z0))) 0'(c_0(c_2(c_0(c_2(c_2(c_1(c_2(c_1(c_1(c_2(c_1(c_1(c_2(c_1(c_0(c_0(c_0(c_0(c_1(c_1(c_2(c_1(x0))))))))))))))))))))))) -> c7(0'(c_0(1(2(2(1(1(2(2(1(1(2(2(2(2(0(1(2(1(2(1(1(1(0(1(2(2(x0))))))))))))))))))))))))))), 0'(1(2(2(1(1(2(2(1(1(2(2(2(2(0(1(2(1(2(1(1(1(0(1(2(2(x0)))))))))))))))))))))))))), 1'(2(2(1(1(2(2(1(1(2(2(2(2(0(1(2(1(2(1(1(1(0(1(2(2(x0))))))))))))))))))))))))), 2'(2(1(1(2(2(1(1(2(2(2(2(0(1(2(1(2(1(1(1(0(1(2(2(x0)))))))))))))))))))))))), 2'(1(1(2(2(1(1(2(2(2(2(0(1(2(1(2(1(1(1(0(1(2(2(x0))))))))))))))))))))))), 1'(1(2(2(1(1(2(2(2(2(0(1(2(1(2(1(1(1(0(1(2(2(x0)))))))))))))))))))))), 1'(2(2(1(1(2(2(2(2(0(1(2(1(2(1(1(1(0(1(2(2(x0))))))))))))))))))))), 2'(2(1(1(2(2(2(2(0(1(2(1(2(1(1(1(0(1(2(2(x0)))))))))))))))))))), 2'(1(1(2(2(2(2(0(1(2(1(2(1(1(1(0(1(2(2(x0))))))))))))))))))), 1'(1(2(2(2(2(0(1(2(1(2(1(1(1(0(1(2(2(x0)))))))))))))))))), 1'(2(2(2(2(0(1(2(1(2(1(1(1(0(1(2(2(x0))))))))))))))))), 2'(2(2(2(0(1(2(1(2(1(1(1(0(1(2(2(x0)))))))))))))))), 2'(2(2(0(1(2(1(2(1(1(1(0(1(2(2(x0))))))))))))))), 2'(2(0(1(2(1(2(1(1(1(0(1(2(2(x0)))))))))))))), 2'(0(1(2(1(2(1(1(1(0(1(2(2(x0))))))))))))), 0'(1(2(1(2(1(1(1(0(1(2(2(x0)))))))))))), 1'(2(1(2(1(1(1(0(1(2(2(x0))))))))))), 2'(1(2(1(1(1(0(1(2(2(x0)))))))))), 1'(2(1(1(1(0(1(2(2(x0))))))))), 2'(1(1(1(0(1(2(2(x0)))))))), 1'(1(1(0(1(2(2(x0))))))), 1'(1(0(1(2(2(x0)))))), 1'(0(1(2(2(x0))))), 0'(1(2(2(x0)))), 1'(2(2(x0))), 2'(2(x0)), 2'(x0)) 0'(c_0(c_2(c_0(c_2(c_2(c_1(c_2(c_1(c_1(c_2(c_1(c_1(c_2(c_1(c_0(c_0(c_0(c_0(c_1(c_1(c_2(c_1(x0))))))))))))))))))))))) -> c7(0'(0(c_1(2(2(1(1(2(2(1(1(2(2(2(2(0(1(2(1(2(1(1(1(0(1(2(2(x0))))))))))))))))))))))))))), 0'(1(2(2(1(1(2(2(1(1(2(2(2(2(0(1(2(1(2(1(1(1(0(1(2(2(x0)))))))))))))))))))))))))), 1'(2(2(1(1(2(2(1(1(2(2(2(2(0(1(2(1(2(1(1(1(0(1(2(2(x0))))))))))))))))))))))))), 2'(2(1(1(2(2(1(1(2(2(2(2(0(1(2(1(2(1(1(1(0(1(2(2(x0)))))))))))))))))))))))), 2'(1(1(2(2(1(1(2(2(2(2(0(1(2(1(2(1(1(1(0(1(2(2(x0))))))))))))))))))))))), 1'(1(2(2(1(1(2(2(2(2(0(1(2(1(2(1(1(1(0(1(2(2(x0)))))))))))))))))))))), 1'(2(2(1(1(2(2(2(2(0(1(2(1(2(1(1(1(0(1(2(2(x0))))))))))))))))))))), 2'(2(1(1(2(2(2(2(0(1(2(1(2(1(1(1(0(1(2(2(x0)))))))))))))))))))), 2'(1(1(2(2(2(2(0(1(2(1(2(1(1(1(0(1(2(2(x0))))))))))))))))))), 1'(1(2(2(2(2(0(1(2(1(2(1(1(1(0(1(2(2(x0)))))))))))))))))), 1'(2(2(2(2(0(1(2(1(2(1(1(1(0(1(2(2(x0))))))))))))))))), 2'(2(2(2(0(1(2(1(2(1(1(1(0(1(2(2(x0)))))))))))))))), 2'(2(2(0(1(2(1(2(1(1(1(0(1(2(2(x0))))))))))))))), 2'(2(0(1(2(1(2(1(1(1(0(1(2(2(x0)))))))))))))), 2'(0(1(2(1(2(1(1(1(0(1(2(2(x0))))))))))))), 0'(1(2(1(2(1(1(1(0(1(2(2(x0)))))))))))), 1'(2(1(2(1(1(1(0(1(2(2(x0))))))))))), 2'(1(2(1(1(1(0(1(2(2(x0)))))))))), 1'(2(1(1(1(0(1(2(2(x0))))))))), 2'(1(1(1(0(1(2(2(x0)))))))), 1'(1(1(0(1(2(2(x0))))))), 1'(1(0(1(2(2(x0)))))), 1'(0(1(2(2(x0))))), 0'(1(2(2(x0)))), 1'(2(2(x0))), 2'(2(x0)), 2'(x0)) 0'(c_0(c_2(c_0(c_2(c_2(c_1(c_2(c_1(c_1(c_2(c_1(c_1(c_2(c_1(c_0(c_0(c_0(c_0(c_1(c_1(c_2(c_1(x0))))))))))))))))))))))) -> c7(0'(0(1(c_2(2(1(1(2(2(1(1(2(2(2(2(0(1(2(1(2(1(1(1(0(1(2(2(x0))))))))))))))))))))))))))), 0'(1(2(2(1(1(2(2(1(1(2(2(2(2(0(1(2(1(2(1(1(1(0(1(2(2(x0)))))))))))))))))))))))))), 1'(2(2(1(1(2(2(1(1(2(2(2(2(0(1(2(1(2(1(1(1(0(1(2(2(x0))))))))))))))))))))))))), 2'(2(1(1(2(2(1(1(2(2(2(2(0(1(2(1(2(1(1(1(0(1(2(2(x0)))))))))))))))))))))))), 2'(1(1(2(2(1(1(2(2(2(2(0(1(2(1(2(1(1(1(0(1(2(2(x0))))))))))))))))))))))), 1'(1(2(2(1(1(2(2(2(2(0(1(2(1(2(1(1(1(0(1(2(2(x0)))))))))))))))))))))), 1'(2(2(1(1(2(2(2(2(0(1(2(1(2(1(1(1(0(1(2(2(x0))))))))))))))))))))), 2'(2(1(1(2(2(2(2(0(1(2(1(2(1(1(1(0(1(2(2(x0)))))))))))))))))))), 2'(1(1(2(2(2(2(0(1(2(1(2(1(1(1(0(1(2(2(x0))))))))))))))))))), 1'(1(2(2(2(2(0(1(2(1(2(1(1(1(0(1(2(2(x0)))))))))))))))))), 1'(2(2(2(2(0(1(2(1(2(1(1(1(0(1(2(2(x0))))))))))))))))), 2'(2(2(2(0(1(2(1(2(1(1(1(0(1(2(2(x0)))))))))))))))), 2'(2(2(0(1(2(1(2(1(1(1(0(1(2(2(x0))))))))))))))), 2'(2(0(1(2(1(2(1(1(1(0(1(2(2(x0)))))))))))))), 2'(0(1(2(1(2(1(1(1(0(1(2(2(x0))))))))))))), 0'(1(2(1(2(1(1(1(0(1(2(2(x0)))))))))))), 1'(2(1(2(1(1(1(0(1(2(2(x0))))))))))), 2'(1(2(1(1(1(0(1(2(2(x0)))))))))), 1'(2(1(1(1(0(1(2(2(x0))))))))), 2'(1(1(1(0(1(2(2(x0)))))))), 1'(1(1(0(1(2(2(x0))))))), 1'(1(0(1(2(2(x0)))))), 1'(0(1(2(2(x0))))), 0'(1(2(2(x0)))), 1'(2(2(x0))), 2'(2(x0)), 2'(x0)) 0'(c_0(c_2(c_0(c_2(c_2(c_1(c_2(c_1(c_1(c_2(c_1(c_1(c_2(c_1(c_0(c_0(c_0(c_0(c_1(c_1(c_2(c_1(x0))))))))))))))))))))))) -> c7(0'(0(1(2(c_2(1(1(2(2(1(1(2(2(2(2(0(1(2(1(2(1(1(1(0(1(2(2(x0))))))))))))))))))))))))))), 0'(1(2(2(1(1(2(2(1(1(2(2(2(2(0(1(2(1(2(1(1(1(0(1(2(2(x0)))))))))))))))))))))))))), 1'(2(2(1(1(2(2(1(1(2(2(2(2(0(1(2(1(2(1(1(1(0(1(2(2(x0))))))))))))))))))))))))), 2'(2(1(1(2(2(1(1(2(2(2(2(0(1(2(1(2(1(1(1(0(1(2(2(x0)))))))))))))))))))))))), 2'(1(1(2(2(1(1(2(2(2(2(0(1(2(1(2(1(1(1(0(1(2(2(x0))))))))))))))))))))))), 1'(1(2(2(1(1(2(2(2(2(0(1(2(1(2(1(1(1(0(1(2(2(x0)))))))))))))))))))))), 1'(2(2(1(1(2(2(2(2(0(1(2(1(2(1(1(1(0(1(2(2(x0))))))))))))))))))))), 2'(2(1(1(2(2(2(2(0(1(2(1(2(1(1(1(0(1(2(2(x0)))))))))))))))))))), 2'(1(1(2(2(2(2(0(1(2(1(2(1(1(1(0(1(2(2(x0))))))))))))))))))), 1'(1(2(2(2(2(0(1(2(1(2(1(1(1(0(1(2(2(x0)))))))))))))))))), 1'(2(2(2(2(0(1(2(1(2(1(1(1(0(1(2(2(x0))))))))))))))))), 2'(2(2(2(0(1(2(1(2(1(1(1(0(1(2(2(x0)))))))))))))))), 2'(2(2(0(1(2(1(2(1(1(1(0(1(2(2(x0))))))))))))))), 2'(2(0(1(2(1(2(1(1(1(0(1(2(2(x0)))))))))))))), 2'(0(1(2(1(2(1(1(1(0(1(2(2(x0))))))))))))), 0'(1(2(1(2(1(1(1(0(1(2(2(x0)))))))))))), 1'(2(1(2(1(1(1(0(1(2(2(x0))))))))))), 2'(1(2(1(1(1(0(1(2(2(x0)))))))))), 1'(2(1(1(1(0(1(2(2(x0))))))))), 2'(1(1(1(0(1(2(2(x0)))))))), 1'(1(1(0(1(2(2(x0))))))), 1'(1(0(1(2(2(x0)))))), 1'(0(1(2(2(x0))))), 0'(1(2(2(x0)))), 1'(2(2(x0))), 2'(2(x0)), 2'(x0)) 0'(c_0(c_2(c_0(c_2(c_2(c_1(c_2(c_1(c_1(c_2(c_1(c_1(c_2(c_1(c_0(c_0(c_0(c_0(c_1(c_1(c_2(c_1(x0))))))))))))))))))))))) -> c7(0'(0(1(2(2(c_1(1(2(2(1(1(2(2(2(2(0(1(2(1(2(1(1(1(0(1(2(2(x0))))))))))))))))))))))))))), 0'(1(2(2(1(1(2(2(1(1(2(2(2(2(0(1(2(1(2(1(1(1(0(1(2(2(x0)))))))))))))))))))))))))), 1'(2(2(1(1(2(2(1(1(2(2(2(2(0(1(2(1(2(1(1(1(0(1(2(2(x0))))))))))))))))))))))))), 2'(2(1(1(2(2(1(1(2(2(2(2(0(1(2(1(2(1(1(1(0(1(2(2(x0)))))))))))))))))))))))), 2'(1(1(2(2(1(1(2(2(2(2(0(1(2(1(2(1(1(1(0(1(2(2(x0))))))))))))))))))))))), 1'(1(2(2(1(1(2(2(2(2(0(1(2(1(2(1(1(1(0(1(2(2(x0)))))))))))))))))))))), 1'(2(2(1(1(2(2(2(2(0(1(2(1(2(1(1(1(0(1(2(2(x0))))))))))))))))))))), 2'(2(1(1(2(2(2(2(0(1(2(1(2(1(1(1(0(1(2(2(x0)))))))))))))))))))), 2'(1(1(2(2(2(2(0(1(2(1(2(1(1(1(0(1(2(2(x0))))))))))))))))))), 1'(1(2(2(2(2(0(1(2(1(2(1(1(1(0(1(2(2(x0)))))))))))))))))), 1'(2(2(2(2(0(1(2(1(2(1(1(1(0(1(2(2(x0))))))))))))))))), 2'(2(2(2(0(1(2(1(2(1(1(1(0(1(2(2(x0)))))))))))))))), 2'(2(2(0(1(2(1(2(1(1(1(0(1(2(2(x0))))))))))))))), 2'(2(0(1(2(1(2(1(1(1(0(1(2(2(x0)))))))))))))), 2'(0(1(2(1(2(1(1(1(0(1(2(2(x0))))))))))))), 0'(1(2(1(2(1(1(1(0(1(2(2(x0)))))))))))), 1'(2(1(2(1(1(1(0(1(2(2(x0))))))))))), 2'(1(2(1(1(1(0(1(2(2(x0)))))))))), 1'(2(1(1(1(0(1(2(2(x0))))))))), 2'(1(1(1(0(1(2(2(x0)))))))), 1'(1(1(0(1(2(2(x0))))))), 1'(1(0(1(2(2(x0)))))), 1'(0(1(2(2(x0))))), 0'(1(2(2(x0)))), 1'(2(2(x0))), 2'(2(x0)), 2'(x0)) 0'(c_0(c_2(c_0(c_2(c_2(c_1(c_2(c_1(c_1(c_2(c_1(c_1(c_2(c_1(c_0(c_0(c_0(c_0(c_1(c_1(c_2(c_1(x0))))))))))))))))))))))) -> c7(0'(0(1(2(2(1(c_1(2(2(1(1(2(2(2(2(0(1(2(1(2(1(1(1(0(1(2(2(x0))))))))))))))))))))))))))), 0'(1(2(2(1(1(2(2(1(1(2(2(2(2(0(1(2(1(2(1(1(1(0(1(2(2(x0)))))))))))))))))))))))))), 1'(2(2(1(1(2(2(1(1(2(2(2(2(0(1(2(1(2(1(1(1(0(1(2(2(x0))))))))))))))))))))))))), 2'(2(1(1(2(2(1(1(2(2(2(2(0(1(2(1(2(1(1(1(0(1(2(2(x0)))))))))))))))))))))))), 2'(1(1(2(2(1(1(2(2(2(2(0(1(2(1(2(1(1(1(0(1(2(2(x0))))))))))))))))))))))), 1'(1(2(2(1(1(2(2(2(2(0(1(2(1(2(1(1(1(0(1(2(2(x0)))))))))))))))))))))), 1'(2(2(1(1(2(2(2(2(0(1(2(1(2(1(1(1(0(1(2(2(x0))))))))))))))))))))), 2'(2(1(1(2(2(2(2(0(1(2(1(2(1(1(1(0(1(2(2(x0)))))))))))))))))))), 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2'(2(c_1(c_2(c_1(c_0(c_2(c_1(c_2(c_0(c_0(c_0(c_0(c_2(c_0(c_0(c_0(c_2(c_2(c_0(c_0(c_0(c_0(c_1(z0)))))))))))))))))))))))), 2'(c_1(c_2(c_1(c_0(c_2(c_1(c_2(c_0(c_0(c_0(c_0(c_2(c_0(c_0(c_0(c_2(c_2(c_0(c_0(c_0(c_0(c_1(z0)))))))))))))))))))))))) K tuples:none Defined Rule Symbols: encArg_1, 0_1, 1_1, 2_1 Defined Pair Symbols: 0'_1, 1'_1, 2'_1, ENCODE_0_1, ENCODE_1_1, ENCODE_2_1, ENCARG_1 Compound Symbols: c9_27, c10_27, c11_27, c12_27, c13_27, c14_27, c15_27, c16_27, c18_27, c19_27, c20_27, c21_27, c22_27, c23_27, c24_27, c25_27, c26_27, c27_27, c28_27, c30_27, c31_27, c32_27, c33_27, c34_27, c35_27, c36_27, c37_27, c38_27, c39_27, c40_27, c41_27, c42_27, c43_27, c44_27, c45_27, c46_27, c47_27, c48_27, c6_1, c_2, c1_2, c2_2, c7_27, c8_27 ---------------------------------------- (59) CdtRhsSimplificationProcessorProof (BOTH BOUNDS(ID, ID)) Removed 1 trailing tuple parts ---------------------------------------- (60) Obligation: Complexity Dependency Tuples Problem Rules: encArg(cons_0(z0)) -> 0(encArg(z0)) encArg(cons_1(z0)) -> 1(encArg(z0)) encArg(cons_2(z0)) -> 2(encArg(z0)) 0(z0) -> c_0(z0) 0(c_0(c_2(c_0(c_2(c_2(c_1(c_2(c_1(c_1(c_2(c_1(c_1(c_2(c_1(c_0(c_0(c_0(c_0(c_1(c_1(c_2(c_1(z0))))))))))))))))))))))) -> 0(0(1(2(2(1(1(2(2(1(1(2(2(2(2(0(1(2(1(2(1(1(1(0(1(2(2(z0))))))))))))))))))))))))))) 0(c_1(c_1(c_1(c_2(c_2(c_1(c_0(c_0(c_2(c_2(c_2(c_2(c_0(c_2(c_0(c_0(c_0(c_0(c_1(c_0(c_0(c_2(z0))))))))))))))))))))))) -> 0(2(1(1(1(1(2(2(1(1(0(1(1(2(1(2(1(0(0(1(2(2(1(0(0(2(2(z0))))))))))))))))))))))))))) 0(c_1(c_1(c_0(c_1(c_1(c_1(c_2(c_2(c_0(c_2(c_0(c_1(c_2(c_2(c_2(c_0(c_1(c_2(c_0(c_1(c_0(c_2(z0))))))))))))))))))))))) -> 0(2(0(1(0(2(0(2(2(2(1(2(1(1(2(2(2(2(2(2(2(1(0(0(0(2(2(z0))))))))))))))))))))))))))) 0(c_1(c_0(c_0(c_1(c_2(c_2(c_1(c_0(c_1(c_2(c_1(c_2(c_0(c_1(c_0(c_2(c_2(c_0(c_1(c_2(c_1(c_0(z0))))))))))))))))))))))) -> 0(0(0(1(2(2(2(2(2(2(2(0(0(0(0(1(2(1(2(2(2(1(0(2(0(2(0(z0))))))))))))))))))))))))))) 0(c_0(c_1(c_2(c_0(c_1(c_0(c_0(c_2(c_0(c_1(c_1(c_0(c_1(c_2(c_1(c_1(c_2(c_2(c_1(c_1(c_0(c_2(z0))))))))))))))))))))))) -> 0(2(2(2(0(1(1(2(1(2(2(1(2(1(0(2(2(2(1(2(1(1(0(0(1(0(2(z0))))))))))))))))))))))))))) 0(c_1(c_1(c_1(c_1(c_2(c_1(c_1(c_2(c_2(c_0(c_1(c_0(c_1(c_1(c_0(c_2(c_0(c_0(c_2(c_0(c_1(c_0(z0))))))))))))))))))))))) -> 2(2(2(2(2(1(0(1(2(2(0(1(1(1(2(2(1(1(0(0(0(0(2(2(1(2(2(z0))))))))))))))))))))))))))) 0(c_1(c_2(c_1(c_1(c_2(c_2(c_2(c_1(c_1(c_0(c_0(c_1(c_0(c_2(c_0(c_2(c_2(c_1(c_0(c_2(c_1(c_1(z0))))))))))))))))))))))) -> 2(1(2(1(2(1(2(2(0(2(0(1(2(1(2(1(2(0(1(2(0(0(2(2(1(1(2(z0))))))))))))))))))))))))))) 0(c_0(c_1(c_0(c_2(c_2(c_1(c_2(c_0(c_0(c_1(c_2(c_0(c_2(c_2(c_2(c_1(c_1(c_2(c_0(c_0(c_2(c_1(z0))))))))))))))))))))))) -> 0(1(1(1(0(2(1(2(1(2(0(1(1(2(1(1(2(2(2(2(2(0(2(2(2(1(2(z0))))))))))))))))))))))))))) 0(c_0(c_0(c_0(c_1(c_0(c_0(c_2(c_2(c_1(c_0(c_2(c_0(c_2(c_1(c_1(c_2(c_1(c_2(c_2(c_0(c_1(c_1(z0))))))))))))))))))))))) -> 0(1(2(0(0(2(1(2(2(1(1(2(1(1(1(1(2(2(2(1(2(1(0(2(1(1(0(z0))))))))))))))))))))))))))) 0(c_0(c_0(c_2(c_2(c_0(c_2(c_2(c_2(c_1(c_1(c_0(c_2(c_2(c_1(c_2(c_1(c_0(c_2(c_0(c_0(c_0(c_1(z0))))))))))))))))))))))) -> 2(0(1(1(1(2(2(1(1(2(2(2(2(1(0(1(2(1(1(2(2(2(1(2(1(2(2(z0))))))))))))))))))))))))))) 1(z0) -> c_1(z0) 1(c_2(c_0(c_0(c_2(c_0(c_1(c_2(c_2(c_0(c_2(c_1(c_2(c_1(c_2(c_0(c_1(c_0(c_1(c_2(c_0(c_2(c_1(z0))))))))))))))))))))))) -> 1(2(2(0(2(1(2(2(0(1(0(2(1(0(1(2(1(2(2(2(2(0(2(2(0(2(0(z0))))))))))))))))))))))))))) 1(c_1(c_0(c_2(c_1(c_2(c_2(c_2(c_2(c_1(c_0(c_1(c_2(c_0(c_1(c_2(c_1(c_1(c_0(c_2(c_1(c_2(c_0(z0))))))))))))))))))))))) -> 2(2(1(2(1(2(2(1(0(1(2(2(2(1(0(2(1(1(2(1(0(1(1(1(2(2(2(z0))))))))))))))))))))))))))) 1(c_1(c_0(c_1(c_2(c_2(c_2(c_2(c_1(c_0(c_2(c_1(c_2(c_0(c_0(c_0(c_1(c_0(c_2(c_1(c_1(c_1(c_2(z0))))))))))))))))))))))) -> 2(1(2(1(2(2(2(2(2(0(0(0(0(2(1(2(2(2(2(1(2(2(2(0(0(2(2(z0))))))))))))))))))))))))))) 1(c_1(c_2(c_2(c_1(c_0(c_2(c_0(c_1(c_1(c_2(c_2(c_2(c_1(c_0(c_1(c_0(c_0(c_2(c_1(c_1(c_0(c_2(z0))))))))))))))))))))))) -> 2(2(2(1(1(2(2(2(1(2(2(0(0(2(0(0(1(2(0(2(2(1(2(2(2(0(2(z0))))))))))))))))))))))))))) 1(c_0(c_1(c_0(c_2(c_2(c_2(c_2(c_1(c_0(c_0(c_2(c_0(c_2(c_1(c_2(c_1(c_2(c_1(c_1(c_2(c_0(c_2(z0))))))))))))))))))))))) -> 2(1(2(0(2(0(2(0(2(2(2(2(1(2(1(2(2(2(1(1(2(1(0(1(1(2(2(z0))))))))))))))))))))))))))) 1(c_1(c_1(c_0(c_2(c_2(c_1(c_1(c_1(c_2(c_2(c_0(c_2(c_0(c_2(c_1(c_1(c_2(c_1(c_2(c_1(c_2(c_2(z0))))))))))))))))))))))) -> 1(2(1(2(1(1(1(1(2(1(1(1(2(2(0(1(0(2(2(1(2(2(2(1(0(1(2(z0))))))))))))))))))))))))))) 1(c_0(c_0(c_1(c_0(c_1(c_1(c_0(c_2(c_1(c_1(c_2(c_1(c_2(c_1(c_2(c_0(c_1(c_2(c_2(c_1(c_2(c_1(z0))))))))))))))))))))))) -> 1(2(0(0(1(1(2(2(1(2(0(2(2(0(1(1(2(2(2(1(2(2(2(2(2(1(2(z0))))))))))))))))))))))))))) 1(c_2(c_2(c_2(c_1(c_1(c_0(c_0(c_2(c_2(c_2(c_0(c_0(c_0(c_2(c_1(c_2(c_2(c_0(c_2(c_0(c_2(c_0(z0))))))))))))))))))))))) -> 1(2(1(2(0(0(1(1(1(2(2(2(2(1(2(2(2(0(2(0(1(2(2(2(2(0(0(z0))))))))))))))))))))))))))) 1(c_2(c_0(c_2(c_1(c_2(c_2(c_1(c_2(c_2(c_2(c_0(c_1(c_1(c_1(c_1(c_0(c_1(c_0(c_0(c_2(c_0(c_1(z0))))))))))))))))))))))) -> 1(2(1(2(1(2(2(2(2(2(2(0(0(2(0(0(2(2(0(1(1(1(1(0(0(2(1(z0))))))))))))))))))))))))))) 1(c_1(c_0(c_2(c_1(c_0(c_2(c_0(c_1(c_2(c_0(c_2(c_0(c_0(c_2(c_1(c_0(c_1(c_0(c_1(c_2(c_1(c_2(z0))))))))))))))))))))))) -> 2(0(2(2(1(1(1(2(2(0(1(2(0(2(1(1(2(1(0(0(2(0(1(2(2(2(2(z0))))))))))))))))))))))))))) 1(c_1(c_0(c_0(c_1(c_1(c_1(c_2(c_2(c_2(c_1(c_2(c_1(c_0(c_0(c_0(c_2(c_2(c_2(c_0(c_1(c_2(c_0(z0))))))))))))))))))))))) -> 2(1(2(1(2(2(2(1(2(2(0(2(2(1(0(2(1(2(2(0(1(0(1(1(2(2(2(z0))))))))))))))))))))))))))) 2(z0) -> c_2(z0) 2(c_2(c_1(c_1(c_1(c_0(c_0(c_2(c_1(c_0(c_2(c_1(c_2(c_0(c_0(c_2(c_1(c_0(c_1(c_1(c_2(c_2(c_1(z0))))))))))))))))))))))) -> 2(1(2(2(0(1(2(1(1(0(1(2(1(0(0(1(2(2(1(2(1(0(2(1(2(2(1(z0))))))))))))))))))))))))))) 2(c_2(c_1(c_1(c_2(c_0(c_0(c_2(c_2(c_2(c_2(c_1(c_1(c_1(c_1(c_1(c_2(c_1(c_2(c_0(c_0(c_1(c_1(z0))))))))))))))))))))))) -> 2(2(1(1(2(2(1(2(1(2(2(0(0(0(2(1(0(2(2(1(2(2(0(1(1(2(2(z0))))))))))))))))))))))))))) 2(c_1(c_0(c_1(c_0(c_0(c_2(c_2(c_2(c_0(c_1(c_0(c_0(c_2(c_0(c_0(c_1(c_2(c_0(c_2(c_2(c_2(c_0(z0))))))))))))))))))))))) -> 2(1(1(2(0(1(2(0(0(2(0(1(2(2(1(1(1(2(2(2(0(0(1(1(0(2(0(z0))))))))))))))))))))))))))) 2(c_0(c_2(c_0(c_1(c_0(c_1(c_1(c_2(c_0(c_1(c_1(c_2(c_2(c_1(c_0(c_2(c_0(c_2(c_0(c_2(c_2(c_2(z0))))))))))))))))))))))) -> 2(0(0(1(1(2(0(2(2(1(1(2(2(0(1(2(2(2(0(0(2(0(2(2(2(0(2(z0))))))))))))))))))))))))))) 2(c_2(c_0(c_1(c_2(c_2(c_2(c_0(c_2(c_2(c_2(c_0(c_2(c_2(c_2(c_2(c_1(c_0(c_1(c_0(c_0(c_1(c_0(z0))))))))))))))))))))))) -> 2(2(0(1(1(2(2(2(1(1(2(1(0(0(1(2(2(1(2(1(0(2(2(0(0(2(0(z0))))))))))))))))))))))))))) 2(c_2(c_1(c_1(c_1(c_2(c_0(c_1(c_1(c_2(c_2(c_0(c_1(c_1(c_1(c_1(c_1(c_2(c_2(c_2(c_0(c_2(c_1(z0))))))))))))))))))))))) -> 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2(c_2(c_2(c_0(c_0(c_1(c_0(c_0(c_2(c_0(c_0(c_2(c_1(c_1(c_2(c_1(c_0(c_1(c_2(c_2(c_2(c_1(c_0(z0))))))))))))))))))))))) -> 1(2(2(2(2(0(1(2(1(2(0(1(2(1(2(1(0(1(0(1(0(1(1(2(2(1(0(z0))))))))))))))))))))))))))) 2(c_1(c_0(c_1(c_1(c_2(c_0(c_0(c_2(c_1(c_0(c_0(c_0(c_1(c_2(c_1(c_1(c_2(c_0(c_2(c_1(c_2(c_1(z0))))))))))))))))))))))) -> 2(0(2(2(0(0(2(2(1(1(1(2(0(1(0(1(2(2(2(2(2(0(0(0(2(2(1(z0))))))))))))))))))))))))))) 2(c_2(c_1(c_2(c_2(c_0(c_0(c_2(c_1(c_1(c_0(c_2(c_2(c_0(c_2(c_2(c_0(c_2(c_2(c_1(c_2(c_0(c_2(z0))))))))))))))))))))))) -> 1(2(1(1(1(2(2(2(1(2(1(0(2(1(1(1(1(2(2(0(0(1(1(0(2(1(2(z0))))))))))))))))))))))))))) 2(c_2(c_0(c_0(c_1(c_2(c_1(c_1(c_2(c_1(c_0(c_0(c_0(c_0(c_0(c_2(c_1(c_2(c_1(c_1(c_2(c_0(c_2(z0))))))))))))))))))))))) -> 2(1(1(2(2(2(2(1(2(1(0(0(2(1(0(2(2(0(1(1(0(2(0(0(0(0(2(z0))))))))))))))))))))))))))) 2(c_0(c_1(c_0(c_0(c_0(c_1(c_0(c_0(c_0(c_0(c_0(c_0(c_0(c_1(c_0(c_2(c_0(c_0(c_2(c_2(c_2(c_2(z0))))))))))))))))))))))) -> 2(2(2(1(1(2(1(2(0(1(1(2(1(0(2(1(0(0(1(0(1(1(2(1(2(2(2(z0))))))))))))))))))))))))))) 2(c_2(c_0(c_0(c_1(c_0(c_1(c_2(c_2(c_2(c_1(c_1(c_0(c_0(c_1(c_2(c_2(c_1(c_2(c_0(c_1(c_2(c_1(z0))))))))))))))))))))))) -> 2(2(2(2(0(2(0(2(2(1(2(1(0(1(1(2(2(0(0(2(1(2(1(2(1(2(0(z0))))))))))))))))))))))))))) 2(c_2(c_1(c_1(c_2(c_2(c_1(c_2(c_1(c_1(c_1(c_0(c_0(c_2(c_1(c_1(c_0(c_2(c_0(c_0(c_1(c_1(c_2(z0))))))))))))))))))))))) -> 2(1(1(1(2(2(2(1(1(0(2(2(1(0(1(0(2(2(1(2(0(0(0(1(2(1(2(z0))))))))))))))))))))))))))) 2(c_2(c_0(c_1(c_1(c_0(c_0(c_1(c_2(c_1(c_0(c_2(c_1(c_2(c_2(c_2(c_1(c_0(c_0(c_2(c_2(c_2(c_0(z0))))))))))))))))))))))) -> 2(2(1(0(0(0(0(2(2(1(1(2(2(1(0(2(1(2(1(2(2(1(2(2(2(0(0(z0))))))))))))))))))))))))))) 2(c_1(c_2(c_1(c_0(c_2(c_1(c_2(c_0(c_0(c_0(c_0(c_2(c_0(c_0(c_0(c_2(c_2(c_0(c_0(c_0(c_0(c_1(z0))))))))))))))))))))))) -> 2(1(2(1(2(0(0(2(1(0(0(2(2(0(1(0(2(1(2(1(2(2(1(2(1(1(2(z0))))))))))))))))))))))))))) Tuples: 0'(c_1(c_1(c_0(c_1(c_1(c_1(c_2(c_2(c_0(c_2(c_0(c_1(c_2(c_2(c_2(c_0(c_1(c_2(c_0(c_1(c_0(c_2(z0))))))))))))))))))))))) -> c9(0'(2(0(1(0(2(0(2(2(2(1(2(1(1(2(2(2(2(2(2(2(1(0(0(0(2(2(z0))))))))))))))))))))))))))), 2'(0(1(0(2(0(2(2(2(1(2(1(1(2(2(2(2(2(2(2(1(0(0(0(2(2(z0)))))))))))))))))))))))))), 0'(1(0(2(0(2(2(2(1(2(1(1(2(2(2(2(2(2(2(1(0(0(0(2(2(z0))))))))))))))))))))))))), 1'(0(2(0(2(2(2(1(2(1(1(2(2(2(2(2(2(2(1(0(0(0(2(2(z0)))))))))))))))))))))))), 0'(2(0(2(2(2(1(2(1(1(2(2(2(2(2(2(2(1(0(0(0(2(2(z0))))))))))))))))))))))), 2'(0(2(2(2(1(2(1(1(2(2(2(2(2(2(2(1(0(0(0(2(2(z0)))))))))))))))))))))), 0'(2(2(2(1(2(1(1(2(2(2(2(2(2(2(1(0(0(0(2(2(z0))))))))))))))))))))), 2'(2(2(1(2(1(1(2(2(2(2(2(2(2(1(0(0(0(2(2(z0)))))))))))))))))))), 2'(2(1(2(1(1(2(2(2(2(2(2(2(1(0(0(0(2(2(z0))))))))))))))))))), 2'(1(2(1(1(2(2(2(2(2(2(2(1(0(0(0(2(2(z0)))))))))))))))))), 1'(2(1(1(2(2(2(2(2(2(2(1(0(0(0(2(2(z0))))))))))))))))), 2'(1(1(2(2(2(2(2(2(2(1(0(0(0(2(2(z0)))))))))))))))), 1'(1(2(2(2(2(2(2(2(1(0(0(0(2(2(z0))))))))))))))), 1'(2(2(2(2(2(2(2(1(0(0(0(2(2(z0)))))))))))))), 2'(2(2(2(2(2(2(1(0(0(0(2(2(z0))))))))))))), 2'(2(2(2(2(2(1(0(0(0(2(2(z0)))))))))))), 2'(2(2(2(2(1(0(0(0(2(2(z0))))))))))), 2'(2(2(2(1(0(0(0(2(2(z0)))))))))), 2'(2(2(1(0(0(0(2(2(z0))))))))), 2'(2(1(0(0(0(2(2(z0)))))))), 2'(1(0(0(0(2(2(z0))))))), 1'(0(0(0(2(2(z0)))))), 0'(0(0(2(2(z0))))), 0'(0(2(2(z0)))), 0'(2(2(z0))), 2'(2(z0)), 2'(z0)) 0'(c_1(c_0(c_0(c_1(c_2(c_2(c_1(c_0(c_1(c_2(c_1(c_2(c_0(c_1(c_0(c_2(c_2(c_0(c_1(c_2(c_1(c_0(z0))))))))))))))))))))))) -> c10(0'(0(0(1(2(2(2(2(2(2(2(0(0(0(0(1(2(1(2(2(2(1(0(2(0(2(0(z0))))))))))))))))))))))))))), 0'(0(1(2(2(2(2(2(2(2(0(0(0(0(1(2(1(2(2(2(1(0(2(0(2(0(z0)))))))))))))))))))))))))), 0'(1(2(2(2(2(2(2(2(0(0(0(0(1(2(1(2(2(2(1(0(2(0(2(0(z0))))))))))))))))))))))))), 1'(2(2(2(2(2(2(2(0(0(0(0(1(2(1(2(2(2(1(0(2(0(2(0(z0)))))))))))))))))))))))), 2'(2(2(2(2(2(2(0(0(0(0(1(2(1(2(2(2(1(0(2(0(2(0(z0))))))))))))))))))))))), 2'(2(2(2(2(2(0(0(0(0(1(2(1(2(2(2(1(0(2(0(2(0(z0)))))))))))))))))))))), 2'(2(2(2(2(0(0(0(0(1(2(1(2(2(2(1(0(2(0(2(0(z0))))))))))))))))))))), 2'(2(2(2(0(0(0(0(1(2(1(2(2(2(1(0(2(0(2(0(z0)))))))))))))))))))), 2'(2(2(0(0(0(0(1(2(1(2(2(2(1(0(2(0(2(0(z0))))))))))))))))))), 2'(2(0(0(0(0(1(2(1(2(2(2(1(0(2(0(2(0(z0)))))))))))))))))), 2'(0(0(0(0(1(2(1(2(2(2(1(0(2(0(2(0(z0))))))))))))))))), 0'(0(0(0(1(2(1(2(2(2(1(0(2(0(2(0(z0)))))))))))))))), 0'(0(0(1(2(1(2(2(2(1(0(2(0(2(0(z0))))))))))))))), 0'(0(1(2(1(2(2(2(1(0(2(0(2(0(z0)))))))))))))), 0'(1(2(1(2(2(2(1(0(2(0(2(0(z0))))))))))))), 1'(2(1(2(2(2(1(0(2(0(2(0(z0)))))))))))), 2'(1(2(2(2(1(0(2(0(2(0(z0))))))))))), 1'(2(2(2(1(0(2(0(2(0(z0)))))))))), 2'(2(2(1(0(2(0(2(0(z0))))))))), 2'(2(1(0(2(0(2(0(z0)))))))), 2'(1(0(2(0(2(0(z0))))))), 1'(0(2(0(2(0(z0)))))), 0'(2(0(2(0(z0))))), 2'(0(2(0(z0)))), 0'(2(0(z0))), 2'(0(z0)), 0'(z0)) 0'(c_0(c_1(c_2(c_0(c_1(c_0(c_0(c_2(c_0(c_1(c_1(c_0(c_1(c_2(c_1(c_1(c_2(c_2(c_1(c_1(c_0(c_2(z0))))))))))))))))))))))) -> c11(0'(2(2(2(0(1(1(2(1(2(2(1(2(1(0(2(2(2(1(2(1(1(0(0(1(0(2(z0))))))))))))))))))))))))))), 2'(2(2(0(1(1(2(1(2(2(1(2(1(0(2(2(2(1(2(1(1(0(0(1(0(2(z0)))))))))))))))))))))))))), 2'(2(0(1(1(2(1(2(2(1(2(1(0(2(2(2(1(2(1(1(0(0(1(0(2(z0))))))))))))))))))))))))), 2'(0(1(1(2(1(2(2(1(2(1(0(2(2(2(1(2(1(1(0(0(1(0(2(z0)))))))))))))))))))))))), 0'(1(1(2(1(2(2(1(2(1(0(2(2(2(1(2(1(1(0(0(1(0(2(z0))))))))))))))))))))))), 1'(1(2(1(2(2(1(2(1(0(2(2(2(1(2(1(1(0(0(1(0(2(z0)))))))))))))))))))))), 1'(2(1(2(2(1(2(1(0(2(2(2(1(2(1(1(0(0(1(0(2(z0))))))))))))))))))))), 2'(1(2(2(1(2(1(0(2(2(2(1(2(1(1(0(0(1(0(2(z0)))))))))))))))))))), 1'(2(2(1(2(1(0(2(2(2(1(2(1(1(0(0(1(0(2(z0))))))))))))))))))), 2'(2(1(2(1(0(2(2(2(1(2(1(1(0(0(1(0(2(z0)))))))))))))))))), 2'(1(2(1(0(2(2(2(1(2(1(1(0(0(1(0(2(z0))))))))))))))))), 1'(2(1(0(2(2(2(1(2(1(1(0(0(1(0(2(z0)))))))))))))))), 2'(1(0(2(2(2(1(2(1(1(0(0(1(0(2(z0))))))))))))))), 1'(0(2(2(2(1(2(1(1(0(0(1(0(2(z0)))))))))))))), 0'(2(2(2(1(2(1(1(0(0(1(0(2(z0))))))))))))), 2'(2(2(1(2(1(1(0(0(1(0(2(z0)))))))))))), 2'(2(1(2(1(1(0(0(1(0(2(z0))))))))))), 2'(1(2(1(1(0(0(1(0(2(z0)))))))))), 1'(2(1(1(0(0(1(0(2(z0))))))))), 2'(1(1(0(0(1(0(2(z0)))))))), 1'(1(0(0(1(0(2(z0))))))), 1'(0(0(1(0(2(z0)))))), 0'(0(1(0(2(z0))))), 0'(1(0(2(z0)))), 1'(0(2(z0))), 0'(2(z0)), 2'(z0)) 0'(c_1(c_1(c_1(c_1(c_2(c_1(c_1(c_2(c_2(c_0(c_1(c_0(c_1(c_1(c_0(c_2(c_0(c_0(c_2(c_0(c_1(c_0(z0))))))))))))))))))))))) -> c12(2'(2(2(2(2(1(0(1(2(2(0(1(1(1(2(2(1(1(0(0(0(0(2(2(1(2(2(z0))))))))))))))))))))))))))), 2'(2(2(2(1(0(1(2(2(0(1(1(1(2(2(1(1(0(0(0(0(2(2(1(2(2(z0)))))))))))))))))))))))))), 2'(2(2(1(0(1(2(2(0(1(1(1(2(2(1(1(0(0(0(0(2(2(1(2(2(z0))))))))))))))))))))))))), 2'(2(1(0(1(2(2(0(1(1(1(2(2(1(1(0(0(0(0(2(2(1(2(2(z0)))))))))))))))))))))))), 2'(1(0(1(2(2(0(1(1(1(2(2(1(1(0(0(0(0(2(2(1(2(2(z0))))))))))))))))))))))), 1'(0(1(2(2(0(1(1(1(2(2(1(1(0(0(0(0(2(2(1(2(2(z0)))))))))))))))))))))), 0'(1(2(2(0(1(1(1(2(2(1(1(0(0(0(0(2(2(1(2(2(z0))))))))))))))))))))), 1'(2(2(0(1(1(1(2(2(1(1(0(0(0(0(2(2(1(2(2(z0)))))))))))))))))))), 2'(2(0(1(1(1(2(2(1(1(0(0(0(0(2(2(1(2(2(z0))))))))))))))))))), 2'(0(1(1(1(2(2(1(1(0(0(0(0(2(2(1(2(2(z0)))))))))))))))))), 0'(1(1(1(2(2(1(1(0(0(0(0(2(2(1(2(2(z0))))))))))))))))), 1'(1(1(2(2(1(1(0(0(0(0(2(2(1(2(2(z0)))))))))))))))), 1'(1(2(2(1(1(0(0(0(0(2(2(1(2(2(z0))))))))))))))), 1'(2(2(1(1(0(0(0(0(2(2(1(2(2(z0)))))))))))))), 2'(2(1(1(0(0(0(0(2(2(1(2(2(z0))))))))))))), 2'(1(1(0(0(0(0(2(2(1(2(2(z0)))))))))))), 1'(1(0(0(0(0(2(2(1(2(2(z0))))))))))), 1'(0(0(0(0(2(2(1(2(2(z0)))))))))), 0'(0(0(0(2(2(1(2(2(z0))))))))), 0'(0(0(2(2(1(2(2(z0)))))))), 0'(0(2(2(1(2(2(z0))))))), 0'(2(2(1(2(2(z0)))))), 2'(2(1(2(2(z0))))), 2'(1(2(2(z0)))), 1'(2(2(z0))), 2'(2(z0)), 2'(z0)) 0'(c_1(c_2(c_1(c_1(c_2(c_2(c_2(c_1(c_1(c_0(c_0(c_1(c_0(c_2(c_0(c_2(c_2(c_1(c_0(c_2(c_1(c_1(z0))))))))))))))))))))))) -> c13(2'(1(2(1(2(1(2(2(0(2(0(1(2(1(2(1(2(0(1(2(0(0(2(2(1(1(2(z0))))))))))))))))))))))))))), 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2'(2(1(2(2(2(1(0(1(2(z0)))))))))), 2'(1(2(2(2(1(0(1(2(z0))))))))), 1'(2(2(2(1(0(1(2(z0)))))))), 2'(2(2(1(0(1(2(z0))))))), 2'(2(1(0(1(2(z0)))))), 2'(1(0(1(2(z0))))), 1'(0(1(2(z0)))), 0'(1(2(z0))), 1'(2(z0)), 2'(z0)) 1'(c_0(c_0(c_1(c_0(c_1(c_1(c_0(c_2(c_1(c_1(c_2(c_1(c_2(c_1(c_2(c_0(c_1(c_2(c_2(c_1(c_2(c_1(z0))))))))))))))))))))))) -> c24(1'(2(0(0(1(1(2(2(1(2(0(2(2(0(1(1(2(2(2(1(2(2(2(2(2(1(2(z0))))))))))))))))))))))))))), 2'(0(0(1(1(2(2(1(2(0(2(2(0(1(1(2(2(2(1(2(2(2(2(2(1(2(z0)))))))))))))))))))))))))), 0'(0(1(1(2(2(1(2(0(2(2(0(1(1(2(2(2(1(2(2(2(2(2(1(2(z0))))))))))))))))))))))))), 0'(1(1(2(2(1(2(0(2(2(0(1(1(2(2(2(1(2(2(2(2(2(1(2(z0)))))))))))))))))))))))), 1'(1(2(2(1(2(0(2(2(0(1(1(2(2(2(1(2(2(2(2(2(1(2(z0))))))))))))))))))))))), 1'(2(2(1(2(0(2(2(0(1(1(2(2(2(1(2(2(2(2(2(1(2(z0)))))))))))))))))))))), 2'(2(1(2(0(2(2(0(1(1(2(2(2(1(2(2(2(2(2(1(2(z0))))))))))))))))))))), 2'(1(2(0(2(2(0(1(1(2(2(2(1(2(2(2(2(2(1(2(z0)))))))))))))))))))), 1'(2(0(2(2(0(1(1(2(2(2(1(2(2(2(2(2(1(2(z0))))))))))))))))))), 2'(0(2(2(0(1(1(2(2(2(1(2(2(2(2(2(1(2(z0)))))))))))))))))), 0'(2(2(0(1(1(2(2(2(1(2(2(2(2(2(1(2(z0))))))))))))))))), 2'(2(0(1(1(2(2(2(1(2(2(2(2(2(1(2(z0)))))))))))))))), 2'(0(1(1(2(2(2(1(2(2(2(2(2(1(2(z0))))))))))))))), 0'(1(1(2(2(2(1(2(2(2(2(2(1(2(z0)))))))))))))), 1'(1(2(2(2(1(2(2(2(2(2(1(2(z0))))))))))))), 1'(2(2(2(1(2(2(2(2(2(1(2(z0)))))))))))), 2'(2(2(1(2(2(2(2(2(1(2(z0))))))))))), 2'(2(1(2(2(2(2(2(1(2(z0)))))))))), 2'(1(2(2(2(2(2(1(2(z0))))))))), 1'(2(2(2(2(2(1(2(z0)))))))), 2'(2(2(2(2(1(2(z0))))))), 2'(2(2(2(1(2(z0)))))), 2'(2(2(1(2(z0))))), 2'(2(1(2(z0)))), 2'(1(2(z0))), 1'(2(z0)), 2'(z0)) 1'(c_2(c_2(c_2(c_1(c_1(c_0(c_0(c_2(c_2(c_2(c_0(c_0(c_0(c_2(c_1(c_2(c_2(c_0(c_2(c_0(c_2(c_0(z0))))))))))))))))))))))) -> c25(1'(2(1(2(0(0(1(1(1(2(2(2(2(1(2(2(2(0(2(0(1(2(2(2(2(0(0(z0))))))))))))))))))))))))))), 2'(1(2(0(0(1(1(1(2(2(2(2(1(2(2(2(0(2(0(1(2(2(2(2(0(0(z0)))))))))))))))))))))))))), 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2'(1(0(2(1(2(1(2(2(1(2(2(2(0(0(z0))))))))))))))), 1'(0(2(1(2(1(2(2(1(2(2(2(0(0(z0)))))))))))))), 0'(2(1(2(1(2(2(1(2(2(2(0(0(z0))))))))))))), 2'(1(2(1(2(2(1(2(2(2(0(0(z0)))))))))))), 1'(2(1(2(2(1(2(2(2(0(0(z0))))))))))), 2'(1(2(2(1(2(2(2(0(0(z0)))))))))), 1'(2(2(1(2(2(2(0(0(z0))))))))), 2'(2(1(2(2(2(0(0(z0)))))))), 2'(1(2(2(2(0(0(z0))))))), 1'(2(2(2(0(0(z0)))))), 2'(2(2(0(0(z0))))), 2'(2(0(0(z0)))), 2'(0(0(z0))), 0'(0(z0)), 0'(z0)) 2'(c_1(c_2(c_1(c_0(c_2(c_1(c_2(c_0(c_0(c_0(c_0(c_2(c_0(c_0(c_0(c_2(c_2(c_0(c_0(c_0(c_0(c_1(z0))))))))))))))))))))))) -> c48(2'(1(2(1(2(0(0(2(1(0(0(2(2(0(1(0(2(1(2(1(2(2(1(2(1(1(2(z0))))))))))))))))))))))))))), 1'(2(1(2(0(0(2(1(0(0(2(2(0(1(0(2(1(2(1(2(2(1(2(1(1(2(z0)))))))))))))))))))))))))), 2'(1(2(0(0(2(1(0(0(2(2(0(1(0(2(1(2(1(2(2(1(2(1(1(2(z0))))))))))))))))))))))))), 1'(2(0(0(2(1(0(0(2(2(0(1(0(2(1(2(1(2(2(1(2(1(1(2(z0)))))))))))))))))))))))), 2'(0(0(2(1(0(0(2(2(0(1(0(2(1(2(1(2(2(1(2(1(1(2(z0))))))))))))))))))))))), 0'(0(2(1(0(0(2(2(0(1(0(2(1(2(1(2(2(1(2(1(1(2(z0)))))))))))))))))))))), 0'(2(1(0(0(2(2(0(1(0(2(1(2(1(2(2(1(2(1(1(2(z0))))))))))))))))))))), 2'(1(0(0(2(2(0(1(0(2(1(2(1(2(2(1(2(1(1(2(z0)))))))))))))))))))), 1'(0(0(2(2(0(1(0(2(1(2(1(2(2(1(2(1(1(2(z0))))))))))))))))))), 0'(0(2(2(0(1(0(2(1(2(1(2(2(1(2(1(1(2(z0)))))))))))))))))), 0'(2(2(0(1(0(2(1(2(1(2(2(1(2(1(1(2(z0))))))))))))))))), 2'(2(0(1(0(2(1(2(1(2(2(1(2(1(1(2(z0)))))))))))))))), 2'(0(1(0(2(1(2(1(2(2(1(2(1(1(2(z0))))))))))))))), 0'(1(0(2(1(2(1(2(2(1(2(1(1(2(z0)))))))))))))), 1'(0(2(1(2(1(2(2(1(2(1(1(2(z0))))))))))))), 0'(2(1(2(1(2(2(1(2(1(1(2(z0)))))))))))), 2'(1(2(1(2(2(1(2(1(1(2(z0))))))))))), 1'(2(1(2(2(1(2(1(1(2(z0)))))))))), 2'(1(2(2(1(2(1(1(2(z0))))))))), 1'(2(2(1(2(1(1(2(z0)))))))), 2'(2(1(2(1(1(2(z0))))))), 2'(1(2(1(1(2(z0)))))), 1'(2(1(1(2(z0))))), 2'(1(1(2(z0)))), 1'(1(2(z0))), 1'(2(z0)), 2'(z0)) ENCODE_0(z0) -> c6(0'(encArg(z0))) ENCODE_1(z0) -> c6(1'(encArg(z0))) ENCODE_2(z0) -> c6(2'(encArg(z0))) ENCARG(cons_0(cons_0(z0))) -> c(0'(0(encArg(z0))), ENCARG(cons_0(z0))) ENCARG(cons_0(cons_1(z0))) -> c(0'(1(encArg(z0))), ENCARG(cons_1(z0))) ENCARG(cons_0(cons_2(z0))) -> c(0'(2(encArg(z0))), ENCARG(cons_2(z0))) ENCARG(cons_1(cons_0(z0))) -> c1(1'(0(encArg(z0))), ENCARG(cons_0(z0))) ENCARG(cons_1(cons_1(z0))) -> c1(1'(1(encArg(z0))), ENCARG(cons_1(z0))) ENCARG(cons_1(cons_2(z0))) -> c1(1'(2(encArg(z0))), ENCARG(cons_2(z0))) ENCARG(cons_2(cons_0(z0))) -> c2(2'(0(encArg(z0))), ENCARG(cons_0(z0))) ENCARG(cons_2(cons_1(z0))) -> c2(2'(1(encArg(z0))), ENCARG(cons_1(z0))) ENCARG(cons_2(cons_2(z0))) -> c2(2'(2(encArg(z0))), ENCARG(cons_2(z0))) 0'(c_0(c_2(c_0(c_2(c_2(c_1(c_2(c_1(c_1(c_2(c_1(c_1(c_2(c_1(c_0(c_0(c_0(c_0(c_1(c_1(c_2(c_1(x0))))))))))))))))))))))) -> c7(0'(c_0(1(2(2(1(1(2(2(1(1(2(2(2(2(0(1(2(1(2(1(1(1(0(1(2(2(x0))))))))))))))))))))))))))), 0'(1(2(2(1(1(2(2(1(1(2(2(2(2(0(1(2(1(2(1(1(1(0(1(2(2(x0)))))))))))))))))))))))))), 1'(2(2(1(1(2(2(1(1(2(2(2(2(0(1(2(1(2(1(1(1(0(1(2(2(x0))))))))))))))))))))))))), 2'(2(1(1(2(2(1(1(2(2(2(2(0(1(2(1(2(1(1(1(0(1(2(2(x0)))))))))))))))))))))))), 2'(1(1(2(2(1(1(2(2(2(2(0(1(2(1(2(1(1(1(0(1(2(2(x0))))))))))))))))))))))), 1'(1(2(2(1(1(2(2(2(2(0(1(2(1(2(1(1(1(0(1(2(2(x0)))))))))))))))))))))), 1'(2(2(1(1(2(2(2(2(0(1(2(1(2(1(1(1(0(1(2(2(x0))))))))))))))))))))), 2'(2(1(1(2(2(2(2(0(1(2(1(2(1(1(1(0(1(2(2(x0)))))))))))))))))))), 2'(1(1(2(2(2(2(0(1(2(1(2(1(1(1(0(1(2(2(x0))))))))))))))))))), 1'(1(2(2(2(2(0(1(2(1(2(1(1(1(0(1(2(2(x0)))))))))))))))))), 1'(2(2(2(2(0(1(2(1(2(1(1(1(0(1(2(2(x0))))))))))))))))), 2'(2(2(2(0(1(2(1(2(1(1(1(0(1(2(2(x0)))))))))))))))), 2'(2(2(0(1(2(1(2(1(1(1(0(1(2(2(x0))))))))))))))), 2'(2(0(1(2(1(2(1(1(1(0(1(2(2(x0)))))))))))))), 2'(0(1(2(1(2(1(1(1(0(1(2(2(x0))))))))))))), 0'(1(2(1(2(1(1(1(0(1(2(2(x0)))))))))))), 1'(2(1(2(1(1(1(0(1(2(2(x0))))))))))), 2'(1(2(1(1(1(0(1(2(2(x0)))))))))), 1'(2(1(1(1(0(1(2(2(x0))))))))), 2'(1(1(1(0(1(2(2(x0)))))))), 1'(1(1(0(1(2(2(x0))))))), 1'(1(0(1(2(2(x0)))))), 1'(0(1(2(2(x0))))), 0'(1(2(2(x0)))), 1'(2(2(x0))), 2'(2(x0)), 2'(x0)) 0'(c_0(c_2(c_0(c_2(c_2(c_1(c_2(c_1(c_1(c_2(c_1(c_1(c_2(c_1(c_0(c_0(c_0(c_0(c_1(c_1(c_2(c_1(x0))))))))))))))))))))))) -> c7(0'(0(c_1(2(2(1(1(2(2(1(1(2(2(2(2(0(1(2(1(2(1(1(1(0(1(2(2(x0))))))))))))))))))))))))))), 0'(1(2(2(1(1(2(2(1(1(2(2(2(2(0(1(2(1(2(1(1(1(0(1(2(2(x0)))))))))))))))))))))))))), 1'(2(2(1(1(2(2(1(1(2(2(2(2(0(1(2(1(2(1(1(1(0(1(2(2(x0))))))))))))))))))))))))), 2'(2(1(1(2(2(1(1(2(2(2(2(0(1(2(1(2(1(1(1(0(1(2(2(x0)))))))))))))))))))))))), 2'(1(1(2(2(1(1(2(2(2(2(0(1(2(1(2(1(1(1(0(1(2(2(x0))))))))))))))))))))))), 1'(1(2(2(1(1(2(2(2(2(0(1(2(1(2(1(1(1(0(1(2(2(x0)))))))))))))))))))))), 1'(2(2(1(1(2(2(2(2(0(1(2(1(2(1(1(1(0(1(2(2(x0))))))))))))))))))))), 2'(2(1(1(2(2(2(2(0(1(2(1(2(1(1(1(0(1(2(2(x0)))))))))))))))))))), 2'(1(1(2(2(2(2(0(1(2(1(2(1(1(1(0(1(2(2(x0))))))))))))))))))), 1'(1(2(2(2(2(0(1(2(1(2(1(1(1(0(1(2(2(x0)))))))))))))))))), 1'(2(2(2(2(0(1(2(1(2(1(1(1(0(1(2(2(x0))))))))))))))))), 2'(2(2(2(0(1(2(1(2(1(1(1(0(1(2(2(x0)))))))))))))))), 2'(2(2(0(1(2(1(2(1(1(1(0(1(2(2(x0))))))))))))))), 2'(2(0(1(2(1(2(1(1(1(0(1(2(2(x0)))))))))))))), 2'(0(1(2(1(2(1(1(1(0(1(2(2(x0))))))))))))), 0'(1(2(1(2(1(1(1(0(1(2(2(x0)))))))))))), 1'(2(1(2(1(1(1(0(1(2(2(x0))))))))))), 2'(1(2(1(1(1(0(1(2(2(x0)))))))))), 1'(2(1(1(1(0(1(2(2(x0))))))))), 2'(1(1(1(0(1(2(2(x0)))))))), 1'(1(1(0(1(2(2(x0))))))), 1'(1(0(1(2(2(x0)))))), 1'(0(1(2(2(x0))))), 0'(1(2(2(x0)))), 1'(2(2(x0))), 2'(2(x0)), 2'(x0)) 0'(c_0(c_2(c_0(c_2(c_2(c_1(c_2(c_1(c_1(c_2(c_1(c_1(c_2(c_1(c_0(c_0(c_0(c_0(c_1(c_1(c_2(c_1(x0))))))))))))))))))))))) -> c7(0'(0(1(c_2(2(1(1(2(2(1(1(2(2(2(2(0(1(2(1(2(1(1(1(0(1(2(2(x0))))))))))))))))))))))))))), 0'(1(2(2(1(1(2(2(1(1(2(2(2(2(0(1(2(1(2(1(1(1(0(1(2(2(x0)))))))))))))))))))))))))), 1'(2(2(1(1(2(2(1(1(2(2(2(2(0(1(2(1(2(1(1(1(0(1(2(2(x0))))))))))))))))))))))))), 2'(2(1(1(2(2(1(1(2(2(2(2(0(1(2(1(2(1(1(1(0(1(2(2(x0)))))))))))))))))))))))), 2'(1(1(2(2(1(1(2(2(2(2(0(1(2(1(2(1(1(1(0(1(2(2(x0))))))))))))))))))))))), 1'(1(2(2(1(1(2(2(2(2(0(1(2(1(2(1(1(1(0(1(2(2(x0)))))))))))))))))))))), 1'(2(2(1(1(2(2(2(2(0(1(2(1(2(1(1(1(0(1(2(2(x0))))))))))))))))))))), 2'(2(1(1(2(2(2(2(0(1(2(1(2(1(1(1(0(1(2(2(x0)))))))))))))))))))), 2'(1(1(2(2(2(2(0(1(2(1(2(1(1(1(0(1(2(2(x0))))))))))))))))))), 1'(1(2(2(2(2(0(1(2(1(2(1(1(1(0(1(2(2(x0)))))))))))))))))), 1'(2(2(2(2(0(1(2(1(2(1(1(1(0(1(2(2(x0))))))))))))))))), 2'(2(2(2(0(1(2(1(2(1(1(1(0(1(2(2(x0)))))))))))))))), 2'(2(2(0(1(2(1(2(1(1(1(0(1(2(2(x0))))))))))))))), 2'(2(0(1(2(1(2(1(1(1(0(1(2(2(x0)))))))))))))), 2'(0(1(2(1(2(1(1(1(0(1(2(2(x0))))))))))))), 0'(1(2(1(2(1(1(1(0(1(2(2(x0)))))))))))), 1'(2(1(2(1(1(1(0(1(2(2(x0))))))))))), 2'(1(2(1(1(1(0(1(2(2(x0)))))))))), 1'(2(1(1(1(0(1(2(2(x0))))))))), 2'(1(1(1(0(1(2(2(x0)))))))), 1'(1(1(0(1(2(2(x0))))))), 1'(1(0(1(2(2(x0)))))), 1'(0(1(2(2(x0))))), 0'(1(2(2(x0)))), 1'(2(2(x0))), 2'(2(x0)), 2'(x0)) 0'(c_0(c_2(c_0(c_2(c_2(c_1(c_2(c_1(c_1(c_2(c_1(c_1(c_2(c_1(c_0(c_0(c_0(c_0(c_1(c_1(c_2(c_1(x0))))))))))))))))))))))) -> 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1'(2(1(2(1(0(0(1(2(2(1(0(0(2(2(c_1(c_2(c_1(c_0(c_2(c_1(c_2(c_0(c_0(c_0(c_0(c_2(c_0(c_0(c_0(c_2(c_2(c_0(c_0(c_0(c_0(c_1(z0))))))))))))))))))))))))))))))))))))), 2'(1(2(1(0(0(1(2(2(1(0(0(2(2(c_1(c_2(c_1(c_0(c_2(c_1(c_2(c_0(c_0(c_0(c_0(c_2(c_0(c_0(c_0(c_2(c_2(c_0(c_0(c_0(c_0(c_1(z0)))))))))))))))))))))))))))))))))))), 1'(2(1(0(0(1(2(2(1(0(0(2(2(c_1(c_2(c_1(c_0(c_2(c_1(c_2(c_0(c_0(c_0(c_0(c_2(c_0(c_0(c_0(c_2(c_2(c_0(c_0(c_0(c_0(c_1(z0))))))))))))))))))))))))))))))))))), 2'(1(0(0(1(2(2(1(0(0(2(2(c_1(c_2(c_1(c_0(c_2(c_1(c_2(c_0(c_0(c_0(c_0(c_2(c_0(c_0(c_0(c_2(c_2(c_0(c_0(c_0(c_0(c_1(z0)))))))))))))))))))))))))))))))))), 1'(0(0(1(2(2(1(0(0(2(2(c_1(c_2(c_1(c_0(c_2(c_1(c_2(c_0(c_0(c_0(c_0(c_2(c_0(c_0(c_0(c_2(c_2(c_0(c_0(c_0(c_0(c_1(z0))))))))))))))))))))))))))))))))), 0'(0(1(2(2(1(0(0(2(2(c_1(c_2(c_1(c_0(c_2(c_1(c_2(c_0(c_0(c_0(c_0(c_2(c_0(c_0(c_0(c_2(c_2(c_0(c_0(c_0(c_0(c_1(z0)))))))))))))))))))))))))))))))), 0'(1(2(2(1(0(0(2(2(c_1(c_2(c_1(c_0(c_2(c_1(c_2(c_0(c_0(c_0(c_0(c_2(c_0(c_0(c_0(c_2(c_2(c_0(c_0(c_0(c_0(c_1(z0))))))))))))))))))))))))))))))), 1'(2(2(1(0(0(2(2(c_1(c_2(c_1(c_0(c_2(c_1(c_2(c_0(c_0(c_0(c_0(c_2(c_0(c_0(c_0(c_2(c_2(c_0(c_0(c_0(c_0(c_1(z0)))))))))))))))))))))))))))))), 2'(2(1(0(0(2(2(c_1(c_2(c_1(c_0(c_2(c_1(c_2(c_0(c_0(c_0(c_0(c_2(c_0(c_0(c_0(c_2(c_2(c_0(c_0(c_0(c_0(c_1(z0))))))))))))))))))))))))))))), 2'(1(0(0(2(2(c_1(c_2(c_1(c_0(c_2(c_1(c_2(c_0(c_0(c_0(c_0(c_2(c_0(c_0(c_0(c_2(c_2(c_0(c_0(c_0(c_0(c_1(z0)))))))))))))))))))))))))))), 1'(0(0(2(2(c_1(c_2(c_1(c_0(c_2(c_1(c_2(c_0(c_0(c_0(c_0(c_2(c_0(c_0(c_0(c_2(c_2(c_0(c_0(c_0(c_0(c_1(z0))))))))))))))))))))))))))), 0'(0(2(2(c_1(c_2(c_1(c_0(c_2(c_1(c_2(c_0(c_0(c_0(c_0(c_2(c_0(c_0(c_0(c_2(c_2(c_0(c_0(c_0(c_0(c_1(z0)))))))))))))))))))))))))), 0'(2(2(c_1(c_2(c_1(c_0(c_2(c_1(c_2(c_0(c_0(c_0(c_0(c_2(c_0(c_0(c_0(c_2(c_2(c_0(c_0(c_0(c_0(c_1(z0))))))))))))))))))))))))), 2'(2(c_1(c_2(c_1(c_0(c_2(c_1(c_2(c_0(c_0(c_0(c_0(c_2(c_0(c_0(c_0(c_2(c_2(c_0(c_0(c_0(c_0(c_1(z0)))))))))))))))))))))))), 2'(c_1(c_2(c_1(c_0(c_2(c_1(c_2(c_0(c_0(c_0(c_0(c_2(c_0(c_0(c_0(c_2(c_2(c_0(c_0(c_0(c_0(c_1(z0)))))))))))))))))))))))) 0'(c_1(c_1(c_1(c_2(c_2(c_1(c_0(c_0(c_2(c_2(c_2(c_2(c_0(c_2(c_0(c_0(c_0(c_0(c_1(c_0(c_0(c_2(x0))))))))))))))))))))))) -> c8(2'(1(1(1(1(2(2(1(1(0(1(1(2(1(2(1(0(0(1(2(2(1(0(0(2(2(x0)))))))))))))))))))))))))), 1'(1(1(1(2(2(1(1(0(1(1(2(1(2(1(0(0(1(2(2(1(0(0(2(2(x0))))))))))))))))))))))))), 1'(1(1(2(2(1(1(0(1(1(2(1(2(1(0(0(1(2(2(1(0(0(2(2(x0)))))))))))))))))))))))), 1'(1(2(2(1(1(0(1(1(2(1(2(1(0(0(1(2(2(1(0(0(2(2(x0))))))))))))))))))))))), 1'(2(2(1(1(0(1(1(2(1(2(1(0(0(1(2(2(1(0(0(2(2(x0)))))))))))))))))))))), 2'(2(1(1(0(1(1(2(1(2(1(0(0(1(2(2(1(0(0(2(2(x0))))))))))))))))))))), 2'(1(1(0(1(1(2(1(2(1(0(0(1(2(2(1(0(0(2(2(x0)))))))))))))))))))), 1'(1(0(1(1(2(1(2(1(0(0(1(2(2(1(0(0(2(2(x0))))))))))))))))))), 1'(0(1(1(2(1(2(1(0(0(1(2(2(1(0(0(2(2(x0)))))))))))))))))), 0'(1(1(2(1(2(1(0(0(1(2(2(1(0(0(2(2(x0))))))))))))))))), 1'(1(2(1(2(1(0(0(1(2(2(1(0(0(2(2(x0)))))))))))))))), 1'(2(1(2(1(0(0(1(2(2(1(0(0(2(2(x0))))))))))))))), 2'(1(2(1(0(0(1(2(2(1(0(0(2(2(x0)))))))))))))), 1'(2(1(0(0(1(2(2(1(0(0(2(2(x0))))))))))))), 2'(1(0(0(1(2(2(1(0(0(2(2(x0)))))))))))), 1'(0(0(1(2(2(1(0(0(2(2(x0))))))))))), 0'(0(1(2(2(1(0(0(2(2(x0)))))))))), 0'(1(2(2(1(0(0(2(2(x0))))))))), 1'(2(2(1(0(0(2(2(x0)))))))), 2'(2(1(0(0(2(2(x0))))))), 2'(1(0(0(2(2(x0)))))), 1'(0(0(2(2(x0))))), 0'(0(2(2(x0)))), 0'(2(2(x0))), 2'(2(x0)), 2'(x0)) K tuples:none Defined Rule Symbols: encArg_1, 0_1, 1_1, 2_1 Defined Pair Symbols: 0'_1, 1'_1, 2'_1, ENCODE_0_1, ENCODE_1_1, ENCODE_2_1, ENCARG_1 Compound Symbols: c9_27, c10_27, c11_27, c12_27, c13_27, c14_27, c15_27, c16_27, c18_27, c19_27, c20_27, c21_27, c22_27, c23_27, c24_27, c25_27, c26_27, c27_27, c28_27, c30_27, c31_27, c32_27, c33_27, c34_27, c35_27, c36_27, c37_27, c38_27, c39_27, c40_27, c41_27, c42_27, c43_27, c44_27, c45_27, c46_27, c47_27, c48_27, c6_1, c_2, c1_2, c2_2, c7_27, c8_27, c8_26 ---------------------------------------- (61) CdtNarrowingProof (BOTH BOUNDS(ID, ID)) Use narrowing to replace 0'(c_1(c_1(c_0(c_1(c_1(c_1(c_2(c_2(c_0(c_2(c_0(c_1(c_2(c_2(c_2(c_0(c_1(c_2(c_0(c_1(c_0(c_2(z0))))))))))))))))))))))) -> c9(0'(2(0(1(0(2(0(2(2(2(1(2(1(1(2(2(2(2(2(2(2(1(0(0(0(2(2(z0))))))))))))))))))))))))))), 2'(0(1(0(2(0(2(2(2(1(2(1(1(2(2(2(2(2(2(2(1(0(0(0(2(2(z0)))))))))))))))))))))))))), 0'(1(0(2(0(2(2(2(1(2(1(1(2(2(2(2(2(2(2(1(0(0(0(2(2(z0))))))))))))))))))))))))), 1'(0(2(0(2(2(2(1(2(1(1(2(2(2(2(2(2(2(1(0(0(0(2(2(z0)))))))))))))))))))))))), 0'(2(0(2(2(2(1(2(1(1(2(2(2(2(2(2(2(1(0(0(0(2(2(z0))))))))))))))))))))))), 2'(0(2(2(2(1(2(1(1(2(2(2(2(2(2(2(1(0(0(0(2(2(z0)))))))))))))))))))))), 0'(2(2(2(1(2(1(1(2(2(2(2(2(2(2(1(0(0(0(2(2(z0))))))))))))))))))))), 2'(2(2(1(2(1(1(2(2(2(2(2(2(2(1(0(0(0(2(2(z0)))))))))))))))))))), 2'(2(1(2(1(1(2(2(2(2(2(2(2(1(0(0(0(2(2(z0))))))))))))))))))), 2'(1(2(1(1(2(2(2(2(2(2(2(1(0(0(0(2(2(z0)))))))))))))))))), 1'(2(1(1(2(2(2(2(2(2(2(1(0(0(0(2(2(z0))))))))))))))))), 2'(1(1(2(2(2(2(2(2(2(1(0(0(0(2(2(z0)))))))))))))))), 1'(1(2(2(2(2(2(2(2(1(0(0(0(2(2(z0))))))))))))))), 1'(2(2(2(2(2(2(2(1(0(0(0(2(2(z0)))))))))))))), 2'(2(2(2(2(2(2(1(0(0(0(2(2(z0))))))))))))), 2'(2(2(2(2(2(1(0(0(0(2(2(z0)))))))))))), 2'(2(2(2(2(1(0(0(0(2(2(z0))))))))))), 2'(2(2(2(1(0(0(0(2(2(z0)))))))))), 2'(2(2(1(0(0(0(2(2(z0))))))))), 2'(2(1(0(0(0(2(2(z0)))))))), 2'(1(0(0(0(2(2(z0))))))), 1'(0(0(0(2(2(z0)))))), 0'(0(0(2(2(z0))))), 0'(0(2(2(z0)))), 0'(2(2(z0))), 2'(2(z0)), 2'(z0)) by 0'(c_1(c_1(c_0(c_1(c_1(c_1(c_2(c_2(c_0(c_2(c_0(c_1(c_2(c_2(c_2(c_0(c_1(c_2(c_0(c_1(c_0(c_2(x0))))))))))))))))))))))) -> c9(0'(c_2(0(1(0(2(0(2(2(2(1(2(1(1(2(2(2(2(2(2(2(1(0(0(0(2(2(x0))))))))))))))))))))))))))), 2'(0(1(0(2(0(2(2(2(1(2(1(1(2(2(2(2(2(2(2(1(0(0(0(2(2(x0)))))))))))))))))))))))))), 0'(1(0(2(0(2(2(2(1(2(1(1(2(2(2(2(2(2(2(1(0(0(0(2(2(x0))))))))))))))))))))))))), 1'(0(2(0(2(2(2(1(2(1(1(2(2(2(2(2(2(2(1(0(0(0(2(2(x0)))))))))))))))))))))))), 0'(2(0(2(2(2(1(2(1(1(2(2(2(2(2(2(2(1(0(0(0(2(2(x0))))))))))))))))))))))), 2'(0(2(2(2(1(2(1(1(2(2(2(2(2(2(2(1(0(0(0(2(2(x0)))))))))))))))))))))), 0'(2(2(2(1(2(1(1(2(2(2(2(2(2(2(1(0(0(0(2(2(x0))))))))))))))))))))), 2'(2(2(1(2(1(1(2(2(2(2(2(2(2(1(0(0(0(2(2(x0)))))))))))))))))))), 2'(2(1(2(1(1(2(2(2(2(2(2(2(1(0(0(0(2(2(x0))))))))))))))))))), 2'(1(2(1(1(2(2(2(2(2(2(2(1(0(0(0(2(2(x0)))))))))))))))))), 1'(2(1(1(2(2(2(2(2(2(2(1(0(0(0(2(2(x0))))))))))))))))), 2'(1(1(2(2(2(2(2(2(2(1(0(0(0(2(2(x0)))))))))))))))), 1'(1(2(2(2(2(2(2(2(1(0(0(0(2(2(x0))))))))))))))), 1'(2(2(2(2(2(2(2(1(0(0(0(2(2(x0)))))))))))))), 2'(2(2(2(2(2(2(1(0(0(0(2(2(x0))))))))))))), 2'(2(2(2(2(2(1(0(0(0(2(2(x0)))))))))))), 2'(2(2(2(2(1(0(0(0(2(2(x0))))))))))), 2'(2(2(2(1(0(0(0(2(2(x0)))))))))), 2'(2(2(1(0(0(0(2(2(x0))))))))), 2'(2(1(0(0(0(2(2(x0)))))))), 2'(1(0(0(0(2(2(x0))))))), 1'(0(0(0(2(2(x0)))))), 0'(0(0(2(2(x0))))), 0'(0(2(2(x0)))), 0'(2(2(x0))), 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1'(1(2(2(2(2(2(2(2(1(0(0(0(2(2(c_1(c_2(c_1(c_0(c_2(c_1(c_2(c_0(c_0(c_0(c_0(c_2(c_0(c_0(c_0(c_2(c_2(c_0(c_0(c_0(c_0(c_1(z0))))))))))))))))))))))))))))))))))))), 1'(2(2(2(2(2(2(2(1(0(0(0(2(2(c_1(c_2(c_1(c_0(c_2(c_1(c_2(c_0(c_0(c_0(c_0(c_2(c_0(c_0(c_0(c_2(c_2(c_0(c_0(c_0(c_0(c_1(z0)))))))))))))))))))))))))))))))))))), 2'(2(2(2(2(2(2(1(0(0(0(2(2(c_1(c_2(c_1(c_0(c_2(c_1(c_2(c_0(c_0(c_0(c_0(c_2(c_0(c_0(c_0(c_2(c_2(c_0(c_0(c_0(c_0(c_1(z0))))))))))))))))))))))))))))))))))), 2'(2(2(2(2(2(1(0(0(0(2(2(c_1(c_2(c_1(c_0(c_2(c_1(c_2(c_0(c_0(c_0(c_0(c_2(c_0(c_0(c_0(c_2(c_2(c_0(c_0(c_0(c_0(c_1(z0)))))))))))))))))))))))))))))))))), 2'(2(2(2(2(1(0(0(0(2(2(c_1(c_2(c_1(c_0(c_2(c_1(c_2(c_0(c_0(c_0(c_0(c_2(c_0(c_0(c_0(c_2(c_2(c_0(c_0(c_0(c_0(c_1(z0))))))))))))))))))))))))))))))))), 2'(2(2(2(1(0(0(0(2(2(c_1(c_2(c_1(c_0(c_2(c_1(c_2(c_0(c_0(c_0(c_0(c_2(c_0(c_0(c_0(c_2(c_2(c_0(c_0(c_0(c_0(c_1(z0)))))))))))))))))))))))))))))))), 2'(2(2(1(0(0(0(2(2(c_1(c_2(c_1(c_0(c_2(c_1(c_2(c_0(c_0(c_0(c_0(c_2(c_0(c_0(c_0(c_2(c_2(c_0(c_0(c_0(c_0(c_1(z0))))))))))))))))))))))))))))))), 2'(2(1(0(0(0(2(2(c_1(c_2(c_1(c_0(c_2(c_1(c_2(c_0(c_0(c_0(c_0(c_2(c_0(c_0(c_0(c_2(c_2(c_0(c_0(c_0(c_0(c_1(z0)))))))))))))))))))))))))))))), 2'(1(0(0(0(2(2(c_1(c_2(c_1(c_0(c_2(c_1(c_2(c_0(c_0(c_0(c_0(c_2(c_0(c_0(c_0(c_2(c_2(c_0(c_0(c_0(c_0(c_1(z0))))))))))))))))))))))))))))), 1'(0(0(0(2(2(c_1(c_2(c_1(c_0(c_2(c_1(c_2(c_0(c_0(c_0(c_0(c_2(c_0(c_0(c_0(c_2(c_2(c_0(c_0(c_0(c_0(c_1(z0)))))))))))))))))))))))))))), 0'(0(0(2(2(c_1(c_2(c_1(c_0(c_2(c_1(c_2(c_0(c_0(c_0(c_0(c_2(c_0(c_0(c_0(c_2(c_2(c_0(c_0(c_0(c_0(c_1(z0))))))))))))))))))))))))))), 0'(0(2(2(c_1(c_2(c_1(c_0(c_2(c_1(c_2(c_0(c_0(c_0(c_0(c_2(c_0(c_0(c_0(c_2(c_2(c_0(c_0(c_0(c_0(c_1(z0)))))))))))))))))))))))))), 0'(2(2(c_1(c_2(c_1(c_0(c_2(c_1(c_2(c_0(c_0(c_0(c_0(c_2(c_0(c_0(c_0(c_2(c_2(c_0(c_0(c_0(c_0(c_1(z0))))))))))))))))))))))))), 2'(2(c_1(c_2(c_1(c_0(c_2(c_1(c_2(c_0(c_0(c_0(c_0(c_2(c_0(c_0(c_0(c_2(c_2(c_0(c_0(c_0(c_0(c_1(z0)))))))))))))))))))))))), 2'(c_1(c_2(c_1(c_0(c_2(c_1(c_2(c_0(c_0(c_0(c_0(c_2(c_0(c_0(c_0(c_2(c_2(c_0(c_0(c_0(c_0(c_1(z0)))))))))))))))))))))))) ---------------------------------------- (62) Obligation: Complexity Dependency Tuples Problem Rules: encArg(cons_0(z0)) -> 0(encArg(z0)) encArg(cons_1(z0)) -> 1(encArg(z0)) encArg(cons_2(z0)) -> 2(encArg(z0)) 0(z0) -> c_0(z0) 0(c_0(c_2(c_0(c_2(c_2(c_1(c_2(c_1(c_1(c_2(c_1(c_1(c_2(c_1(c_0(c_0(c_0(c_0(c_1(c_1(c_2(c_1(z0))))))))))))))))))))))) -> 0(0(1(2(2(1(1(2(2(1(1(2(2(2(2(0(1(2(1(2(1(1(1(0(1(2(2(z0))))))))))))))))))))))))))) 0(c_1(c_1(c_1(c_2(c_2(c_1(c_0(c_0(c_2(c_2(c_2(c_2(c_0(c_2(c_0(c_0(c_0(c_0(c_1(c_0(c_0(c_2(z0))))))))))))))))))))))) -> 0(2(1(1(1(1(2(2(1(1(0(1(1(2(1(2(1(0(0(1(2(2(1(0(0(2(2(z0))))))))))))))))))))))))))) 0(c_1(c_1(c_0(c_1(c_1(c_1(c_2(c_2(c_0(c_2(c_0(c_1(c_2(c_2(c_2(c_0(c_1(c_2(c_0(c_1(c_0(c_2(z0))))))))))))))))))))))) -> 0(2(0(1(0(2(0(2(2(2(1(2(1(1(2(2(2(2(2(2(2(1(0(0(0(2(2(z0))))))))))))))))))))))))))) 0(c_1(c_0(c_0(c_1(c_2(c_2(c_1(c_0(c_1(c_2(c_1(c_2(c_0(c_1(c_0(c_2(c_2(c_0(c_1(c_2(c_1(c_0(z0))))))))))))))))))))))) -> 0(0(0(1(2(2(2(2(2(2(2(0(0(0(0(1(2(1(2(2(2(1(0(2(0(2(0(z0))))))))))))))))))))))))))) 0(c_0(c_1(c_2(c_0(c_1(c_0(c_0(c_2(c_0(c_1(c_1(c_0(c_1(c_2(c_1(c_1(c_2(c_2(c_1(c_1(c_0(c_2(z0))))))))))))))))))))))) -> 0(2(2(2(0(1(1(2(1(2(2(1(2(1(0(2(2(2(1(2(1(1(0(0(1(0(2(z0))))))))))))))))))))))))))) 0(c_1(c_1(c_1(c_1(c_2(c_1(c_1(c_2(c_2(c_0(c_1(c_0(c_1(c_1(c_0(c_2(c_0(c_0(c_2(c_0(c_1(c_0(z0))))))))))))))))))))))) -> 2(2(2(2(2(1(0(1(2(2(0(1(1(1(2(2(1(1(0(0(0(0(2(2(1(2(2(z0))))))))))))))))))))))))))) 0(c_1(c_2(c_1(c_1(c_2(c_2(c_2(c_1(c_1(c_0(c_0(c_1(c_0(c_2(c_0(c_2(c_2(c_1(c_0(c_2(c_1(c_1(z0))))))))))))))))))))))) -> 2(1(2(1(2(1(2(2(0(2(0(1(2(1(2(1(2(0(1(2(0(0(2(2(1(1(2(z0))))))))))))))))))))))))))) 0(c_0(c_1(c_0(c_2(c_2(c_1(c_2(c_0(c_0(c_1(c_2(c_0(c_2(c_2(c_2(c_1(c_1(c_2(c_0(c_0(c_2(c_1(z0))))))))))))))))))))))) -> 0(1(1(1(0(2(1(2(1(2(0(1(1(2(1(1(2(2(2(2(2(0(2(2(2(1(2(z0))))))))))))))))))))))))))) 0(c_0(c_0(c_0(c_1(c_0(c_0(c_2(c_2(c_1(c_0(c_2(c_0(c_2(c_1(c_1(c_2(c_1(c_2(c_2(c_0(c_1(c_1(z0))))))))))))))))))))))) -> 0(1(2(0(0(2(1(2(2(1(1(2(1(1(1(1(2(2(2(1(2(1(0(2(1(1(0(z0))))))))))))))))))))))))))) 0(c_0(c_0(c_2(c_2(c_0(c_2(c_2(c_2(c_1(c_1(c_0(c_2(c_2(c_1(c_2(c_1(c_0(c_2(c_0(c_0(c_0(c_1(z0))))))))))))))))))))))) -> 2(0(1(1(1(2(2(1(1(2(2(2(2(1(0(1(2(1(1(2(2(2(1(2(1(2(2(z0))))))))))))))))))))))))))) 1(z0) -> c_1(z0) 1(c_2(c_0(c_0(c_2(c_0(c_1(c_2(c_2(c_0(c_2(c_1(c_2(c_1(c_2(c_0(c_1(c_0(c_1(c_2(c_0(c_2(c_1(z0))))))))))))))))))))))) -> 1(2(2(0(2(1(2(2(0(1(0(2(1(0(1(2(1(2(2(2(2(0(2(2(0(2(0(z0))))))))))))))))))))))))))) 1(c_1(c_0(c_2(c_1(c_2(c_2(c_2(c_2(c_1(c_0(c_1(c_2(c_0(c_1(c_2(c_1(c_1(c_0(c_2(c_1(c_2(c_0(z0))))))))))))))))))))))) -> 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2(1(2(1(2(2(2(1(2(2(0(2(2(1(0(2(1(2(2(0(1(0(1(1(2(2(2(z0))))))))))))))))))))))))))) 2(z0) -> c_2(z0) 2(c_2(c_1(c_1(c_1(c_0(c_0(c_2(c_1(c_0(c_2(c_1(c_2(c_0(c_0(c_2(c_1(c_0(c_1(c_1(c_2(c_2(c_1(z0))))))))))))))))))))))) -> 2(1(2(2(0(1(2(1(1(0(1(2(1(0(0(1(2(2(1(2(1(0(2(1(2(2(1(z0))))))))))))))))))))))))))) 2(c_2(c_1(c_1(c_2(c_0(c_0(c_2(c_2(c_2(c_2(c_1(c_1(c_1(c_1(c_1(c_2(c_1(c_2(c_0(c_0(c_1(c_1(z0))))))))))))))))))))))) -> 2(2(1(1(2(2(1(2(1(2(2(0(0(0(2(1(0(2(2(1(2(2(0(1(1(2(2(z0))))))))))))))))))))))))))) 2(c_1(c_0(c_1(c_0(c_0(c_2(c_2(c_2(c_0(c_1(c_0(c_0(c_2(c_0(c_0(c_1(c_2(c_0(c_2(c_2(c_2(c_0(z0))))))))))))))))))))))) -> 2(1(1(2(0(1(2(0(0(2(0(1(2(2(1(1(1(2(2(2(0(0(1(1(0(2(0(z0))))))))))))))))))))))))))) 2(c_0(c_2(c_0(c_1(c_0(c_1(c_1(c_2(c_0(c_1(c_1(c_2(c_2(c_1(c_0(c_2(c_0(c_2(c_0(c_2(c_2(c_2(z0))))))))))))))))))))))) -> 2(0(0(1(1(2(0(2(2(1(1(2(2(0(1(2(2(2(0(0(2(0(2(2(2(0(2(z0))))))))))))))))))))))))))) 2(c_2(c_0(c_1(c_2(c_2(c_2(c_0(c_2(c_2(c_2(c_0(c_2(c_2(c_2(c_2(c_1(c_0(c_1(c_0(c_0(c_1(c_0(z0))))))))))))))))))))))) -> 2(2(0(1(1(2(2(2(1(1(2(1(0(0(1(2(2(1(2(1(0(2(2(0(0(2(0(z0))))))))))))))))))))))))))) 2(c_2(c_1(c_1(c_1(c_2(c_0(c_1(c_1(c_2(c_2(c_0(c_1(c_1(c_1(c_1(c_1(c_2(c_2(c_2(c_0(c_2(c_1(z0))))))))))))))))))))))) -> 1(2(1(2(2(1(1(1(1(2(2(2(1(2(0(0(0(1(2(0(0(1(2(2(2(2(2(z0))))))))))))))))))))))))))) 2(c_1(c_1(c_0(c_2(c_2(c_2(c_0(c_1(c_2(c_1(c_1(c_0(c_1(c_2(c_0(c_0(c_1(c_1(c_1(c_1(c_2(c_2(z0))))))))))))))))))))))) -> 2(0(0(2(1(0(0(0(0(0(1(2(1(1(2(1(1(2(1(2(2(0(1(1(1(2(2(z0))))))))))))))))))))))))))) 2(c_2(c_1(c_2(c_1(c_2(c_2(c_2(c_0(c_1(c_2(c_1(c_2(c_2(c_2(c_2(c_1(c_1(c_0(c_1(c_0(c_1(c_0(z0))))))))))))))))))))))) -> 1(2(1(2(1(2(0(1(2(2(0(1(1(1(2(2(1(1(1(2(2(0(1(0(1(2(2(z0))))))))))))))))))))))))))) 2(c_0(c_2(c_0(c_1(c_2(c_2(c_0(c_0(c_2(c_2(c_2(c_1(c_1(c_1(c_2(c_1(c_0(c_2(c_0(c_2(c_2(c_0(z0))))))))))))))))))))))) -> 2(1(1(1(2(2(0(0(0(2(1(0(0(0(1(1(0(2(2(0(2(2(2(2(2(2(0(z0))))))))))))))))))))))))))) 2(c_2(c_0(c_0(c_2(c_1(c_2(c_0(c_1(c_2(c_0(c_2(c_1(c_0(c_1(c_1(c_2(c_2(c_1(c_0(c_1(c_0(c_2(z0))))))))))))))))))))))) -> 2(2(2(2(1(2(1(2(0(2(2(2(2(2(0(1(2(0(2(1(0(0(0(2(0(2(2(z0))))))))))))))))))))))))))) 2(c_2(c_2(c_0(c_0(c_1(c_0(c_0(c_2(c_0(c_0(c_2(c_1(c_1(c_2(c_1(c_0(c_1(c_2(c_2(c_2(c_1(c_0(z0))))))))))))))))))))))) -> 1(2(2(2(2(0(1(2(1(2(0(1(2(1(2(1(0(1(0(1(0(1(1(2(2(1(0(z0))))))))))))))))))))))))))) 2(c_1(c_0(c_1(c_1(c_2(c_0(c_0(c_2(c_1(c_0(c_0(c_0(c_1(c_2(c_1(c_1(c_2(c_0(c_2(c_1(c_2(c_1(z0))))))))))))))))))))))) -> 2(0(2(2(0(0(2(2(1(1(1(2(0(1(0(1(2(2(2(2(2(0(0(0(2(2(1(z0))))))))))))))))))))))))))) 2(c_2(c_1(c_2(c_2(c_0(c_0(c_2(c_1(c_1(c_0(c_2(c_2(c_0(c_2(c_2(c_0(c_2(c_2(c_1(c_2(c_0(c_2(z0))))))))))))))))))))))) -> 1(2(1(1(1(2(2(2(1(2(1(0(2(1(1(1(1(2(2(0(0(1(1(0(2(1(2(z0))))))))))))))))))))))))))) 2(c_2(c_0(c_0(c_1(c_2(c_1(c_1(c_2(c_1(c_0(c_0(c_0(c_0(c_0(c_2(c_1(c_2(c_1(c_1(c_2(c_0(c_2(z0))))))))))))))))))))))) -> 2(1(1(2(2(2(2(1(2(1(0(0(2(1(0(2(2(0(1(1(0(2(0(0(0(0(2(z0))))))))))))))))))))))))))) 2(c_0(c_1(c_0(c_0(c_0(c_1(c_0(c_0(c_0(c_0(c_0(c_0(c_0(c_1(c_0(c_2(c_0(c_0(c_2(c_2(c_2(c_2(z0))))))))))))))))))))))) -> 2(2(2(1(1(2(1(2(0(1(1(2(1(0(2(1(0(0(1(0(1(1(2(1(2(2(2(z0))))))))))))))))))))))))))) 2(c_2(c_0(c_0(c_1(c_0(c_1(c_2(c_2(c_2(c_1(c_1(c_0(c_0(c_1(c_2(c_2(c_1(c_2(c_0(c_1(c_2(c_1(z0))))))))))))))))))))))) -> 2(2(2(2(0(2(0(2(2(1(2(1(0(1(1(2(2(0(0(2(1(2(1(2(1(2(0(z0))))))))))))))))))))))))))) 2(c_2(c_1(c_1(c_2(c_2(c_1(c_2(c_1(c_1(c_1(c_0(c_0(c_2(c_1(c_1(c_0(c_2(c_0(c_0(c_1(c_1(c_2(z0))))))))))))))))))))))) -> 2(1(1(1(2(2(2(1(1(0(2(2(1(0(1(0(2(2(1(2(0(0(0(1(2(1(2(z0))))))))))))))))))))))))))) 2(c_2(c_0(c_1(c_1(c_0(c_0(c_1(c_2(c_1(c_0(c_2(c_1(c_2(c_2(c_2(c_1(c_0(c_0(c_2(c_2(c_2(c_0(z0))))))))))))))))))))))) -> 2(2(1(0(0(0(0(2(2(1(1(2(2(1(0(2(1(2(1(2(2(1(2(2(2(0(0(z0))))))))))))))))))))))))))) 2(c_1(c_2(c_1(c_0(c_2(c_1(c_2(c_0(c_0(c_0(c_0(c_2(c_0(c_0(c_0(c_2(c_2(c_0(c_0(c_0(c_0(c_1(z0))))))))))))))))))))))) -> 2(1(2(1(2(0(0(2(1(0(0(2(2(0(1(0(2(1(2(1(2(2(1(2(1(1(2(z0))))))))))))))))))))))))))) Tuples: 0'(c_1(c_0(c_0(c_1(c_2(c_2(c_1(c_0(c_1(c_2(c_1(c_2(c_0(c_1(c_0(c_2(c_2(c_0(c_1(c_2(c_1(c_0(z0))))))))))))))))))))))) -> c10(0'(0(0(1(2(2(2(2(2(2(2(0(0(0(0(1(2(1(2(2(2(1(0(2(0(2(0(z0))))))))))))))))))))))))))), 0'(0(1(2(2(2(2(2(2(2(0(0(0(0(1(2(1(2(2(2(1(0(2(0(2(0(z0)))))))))))))))))))))))))), 0'(1(2(2(2(2(2(2(2(0(0(0(0(1(2(1(2(2(2(1(0(2(0(2(0(z0))))))))))))))))))))))))), 1'(2(2(2(2(2(2(2(0(0(0(0(1(2(1(2(2(2(1(0(2(0(2(0(z0)))))))))))))))))))))))), 2'(2(2(2(2(2(2(0(0(0(0(1(2(1(2(2(2(1(0(2(0(2(0(z0))))))))))))))))))))))), 2'(2(2(2(2(2(0(0(0(0(1(2(1(2(2(2(1(0(2(0(2(0(z0)))))))))))))))))))))), 2'(2(2(2(2(0(0(0(0(1(2(1(2(2(2(1(0(2(0(2(0(z0))))))))))))))))))))), 2'(2(2(2(0(0(0(0(1(2(1(2(2(2(1(0(2(0(2(0(z0)))))))))))))))))))), 2'(2(2(0(0(0(0(1(2(1(2(2(2(1(0(2(0(2(0(z0))))))))))))))))))), 2'(2(0(0(0(0(1(2(1(2(2(2(1(0(2(0(2(0(z0)))))))))))))))))), 2'(0(0(0(0(1(2(1(2(2(2(1(0(2(0(2(0(z0))))))))))))))))), 0'(0(0(0(1(2(1(2(2(2(1(0(2(0(2(0(z0)))))))))))))))), 0'(0(0(1(2(1(2(2(2(1(0(2(0(2(0(z0))))))))))))))), 0'(0(1(2(1(2(2(2(1(0(2(0(2(0(z0)))))))))))))), 0'(1(2(1(2(2(2(1(0(2(0(2(0(z0))))))))))))), 1'(2(1(2(2(2(1(0(2(0(2(0(z0)))))))))))), 2'(1(2(2(2(1(0(2(0(2(0(z0))))))))))), 1'(2(2(2(1(0(2(0(2(0(z0)))))))))), 2'(2(2(1(0(2(0(2(0(z0))))))))), 2'(2(1(0(2(0(2(0(z0)))))))), 2'(1(0(2(0(2(0(z0))))))), 1'(0(2(0(2(0(z0)))))), 0'(2(0(2(0(z0))))), 2'(0(2(0(z0)))), 0'(2(0(z0))), 2'(0(z0)), 0'(z0)) 0'(c_0(c_1(c_2(c_0(c_1(c_0(c_0(c_2(c_0(c_1(c_1(c_0(c_1(c_2(c_1(c_1(c_2(c_2(c_1(c_1(c_0(c_2(z0))))))))))))))))))))))) -> c11(0'(2(2(2(0(1(1(2(1(2(2(1(2(1(0(2(2(2(1(2(1(1(0(0(1(0(2(z0))))))))))))))))))))))))))), 2'(2(2(0(1(1(2(1(2(2(1(2(1(0(2(2(2(1(2(1(1(0(0(1(0(2(z0)))))))))))))))))))))))))), 2'(2(0(1(1(2(1(2(2(1(2(1(0(2(2(2(1(2(1(1(0(0(1(0(2(z0))))))))))))))))))))))))), 2'(0(1(1(2(1(2(2(1(2(1(0(2(2(2(1(2(1(1(0(0(1(0(2(z0)))))))))))))))))))))))), 0'(1(1(2(1(2(2(1(2(1(0(2(2(2(1(2(1(1(0(0(1(0(2(z0))))))))))))))))))))))), 1'(1(2(1(2(2(1(2(1(0(2(2(2(1(2(1(1(0(0(1(0(2(z0)))))))))))))))))))))), 1'(2(1(2(2(1(2(1(0(2(2(2(1(2(1(1(0(0(1(0(2(z0))))))))))))))))))))), 2'(1(2(2(1(2(1(0(2(2(2(1(2(1(1(0(0(1(0(2(z0)))))))))))))))))))), 1'(2(2(1(2(1(0(2(2(2(1(2(1(1(0(0(1(0(2(z0))))))))))))))))))), 2'(2(1(2(1(0(2(2(2(1(2(1(1(0(0(1(0(2(z0)))))))))))))))))), 2'(1(2(1(0(2(2(2(1(2(1(1(0(0(1(0(2(z0))))))))))))))))), 1'(2(1(0(2(2(2(1(2(1(1(0(0(1(0(2(z0)))))))))))))))), 2'(1(0(2(2(2(1(2(1(1(0(0(1(0(2(z0))))))))))))))), 1'(0(2(2(2(1(2(1(1(0(0(1(0(2(z0)))))))))))))), 0'(2(2(2(1(2(1(1(0(0(1(0(2(z0))))))))))))), 2'(2(2(1(2(1(1(0(0(1(0(2(z0)))))))))))), 2'(2(1(2(1(1(0(0(1(0(2(z0))))))))))), 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0'(1(1(2(2(0(0(2(1(2(1(2(1(2(0(z0))))))))))))))), 1'(1(2(2(0(0(2(1(2(1(2(1(2(0(z0)))))))))))))), 1'(2(2(0(0(2(1(2(1(2(1(2(0(z0))))))))))))), 2'(2(0(0(2(1(2(1(2(1(2(0(z0)))))))))))), 2'(0(0(2(1(2(1(2(1(2(0(z0))))))))))), 0'(0(2(1(2(1(2(1(2(0(z0)))))))))), 0'(2(1(2(1(2(1(2(0(z0))))))))), 2'(1(2(1(2(1(2(0(z0)))))))), 1'(2(1(2(1(2(0(z0))))))), 2'(1(2(1(2(0(z0)))))), 1'(2(1(2(0(z0))))), 2'(1(2(0(z0)))), 1'(2(0(z0))), 2'(0(z0)), 0'(z0)) 2'(c_2(c_1(c_1(c_2(c_2(c_1(c_2(c_1(c_1(c_1(c_0(c_0(c_2(c_1(c_1(c_0(c_2(c_0(c_0(c_1(c_1(c_2(z0))))))))))))))))))))))) -> c46(2'(1(1(1(2(2(2(1(1(0(2(2(1(0(1(0(2(2(1(2(0(0(0(1(2(1(2(z0))))))))))))))))))))))))))), 1'(1(1(2(2(2(1(1(0(2(2(1(0(1(0(2(2(1(2(0(0(0(1(2(1(2(z0)))))))))))))))))))))))))), 1'(1(2(2(2(1(1(0(2(2(1(0(1(0(2(2(1(2(0(0(0(1(2(1(2(z0))))))))))))))))))))))))), 1'(2(2(2(1(1(0(2(2(1(0(1(0(2(2(1(2(0(0(0(1(2(1(2(z0)))))))))))))))))))))))), 2'(2(2(1(1(0(2(2(1(0(1(0(2(2(1(2(0(0(0(1(2(1(2(z0))))))))))))))))))))))), 2'(2(1(1(0(2(2(1(0(1(0(2(2(1(2(0(0(0(1(2(1(2(z0)))))))))))))))))))))), 2'(1(1(0(2(2(1(0(1(0(2(2(1(2(0(0(0(1(2(1(2(z0))))))))))))))))))))), 1'(1(0(2(2(1(0(1(0(2(2(1(2(0(0(0(1(2(1(2(z0)))))))))))))))))))), 1'(0(2(2(1(0(1(0(2(2(1(2(0(0(0(1(2(1(2(z0))))))))))))))))))), 0'(2(2(1(0(1(0(2(2(1(2(0(0(0(1(2(1(2(z0)))))))))))))))))), 2'(2(1(0(1(0(2(2(1(2(0(0(0(1(2(1(2(z0))))))))))))))))), 2'(1(0(1(0(2(2(1(2(0(0(0(1(2(1(2(z0)))))))))))))))), 1'(0(1(0(2(2(1(2(0(0(0(1(2(1(2(z0))))))))))))))), 0'(1(0(2(2(1(2(0(0(0(1(2(1(2(z0)))))))))))))), 1'(0(2(2(1(2(0(0(0(1(2(1(2(z0))))))))))))), 0'(2(2(1(2(0(0(0(1(2(1(2(z0)))))))))))), 2'(2(1(2(0(0(0(1(2(1(2(z0))))))))))), 2'(1(2(0(0(0(1(2(1(2(z0)))))))))), 1'(2(0(0(0(1(2(1(2(z0))))))))), 2'(0(0(0(1(2(1(2(z0)))))))), 0'(0(0(1(2(1(2(z0))))))), 0'(0(1(2(1(2(z0)))))), 0'(1(2(1(2(z0))))), 1'(2(1(2(z0)))), 2'(1(2(z0))), 1'(2(z0)), 2'(z0)) 2'(c_2(c_0(c_1(c_1(c_0(c_0(c_1(c_2(c_1(c_0(c_2(c_1(c_2(c_2(c_2(c_1(c_0(c_0(c_2(c_2(c_2(c_0(z0))))))))))))))))))))))) -> c47(2'(2(1(0(0(0(0(2(2(1(1(2(2(1(0(2(1(2(1(2(2(1(2(2(2(0(0(z0))))))))))))))))))))))))))), 2'(1(0(0(0(0(2(2(1(1(2(2(1(0(2(1(2(1(2(2(1(2(2(2(0(0(z0)))))))))))))))))))))))))), 1'(0(0(0(0(2(2(1(1(2(2(1(0(2(1(2(1(2(2(1(2(2(2(0(0(z0))))))))))))))))))))))))), 0'(0(0(0(2(2(1(1(2(2(1(0(2(1(2(1(2(2(1(2(2(2(0(0(z0)))))))))))))))))))))))), 0'(0(0(2(2(1(1(2(2(1(0(2(1(2(1(2(2(1(2(2(2(0(0(z0))))))))))))))))))))))), 0'(0(2(2(1(1(2(2(1(0(2(1(2(1(2(2(1(2(2(2(0(0(z0)))))))))))))))))))))), 0'(2(2(1(1(2(2(1(0(2(1(2(1(2(2(1(2(2(2(0(0(z0))))))))))))))))))))), 2'(2(1(1(2(2(1(0(2(1(2(1(2(2(1(2(2(2(0(0(z0)))))))))))))))))))), 2'(1(1(2(2(1(0(2(1(2(1(2(2(1(2(2(2(0(0(z0))))))))))))))))))), 1'(1(2(2(1(0(2(1(2(1(2(2(1(2(2(2(0(0(z0)))))))))))))))))), 1'(2(2(1(0(2(1(2(1(2(2(1(2(2(2(0(0(z0))))))))))))))))), 2'(2(1(0(2(1(2(1(2(2(1(2(2(2(0(0(z0)))))))))))))))), 2'(1(0(2(1(2(1(2(2(1(2(2(2(0(0(z0))))))))))))))), 1'(0(2(1(2(1(2(2(1(2(2(2(0(0(z0)))))))))))))), 0'(2(1(2(1(2(2(1(2(2(2(0(0(z0))))))))))))), 2'(1(2(1(2(2(1(2(2(2(0(0(z0)))))))))))), 1'(2(1(2(2(1(2(2(2(0(0(z0))))))))))), 2'(1(2(2(1(2(2(2(0(0(z0)))))))))), 1'(2(2(1(2(2(2(0(0(z0))))))))), 2'(2(1(2(2(2(0(0(z0)))))))), 2'(1(2(2(2(0(0(z0))))))), 1'(2(2(2(0(0(z0)))))), 2'(2(2(0(0(z0))))), 2'(2(0(0(z0)))), 2'(0(0(z0))), 0'(0(z0)), 0'(z0)) 2'(c_1(c_2(c_1(c_0(c_2(c_1(c_2(c_0(c_0(c_0(c_0(c_2(c_0(c_0(c_0(c_2(c_2(c_0(c_0(c_0(c_0(c_1(z0))))))))))))))))))))))) -> c48(2'(1(2(1(2(0(0(2(1(0(0(2(2(0(1(0(2(1(2(1(2(2(1(2(1(1(2(z0))))))))))))))))))))))))))), 1'(2(1(2(0(0(2(1(0(0(2(2(0(1(0(2(1(2(1(2(2(1(2(1(1(2(z0)))))))))))))))))))))))))), 2'(1(2(0(0(2(1(0(0(2(2(0(1(0(2(1(2(1(2(2(1(2(1(1(2(z0))))))))))))))))))))))))), 1'(2(0(0(2(1(0(0(2(2(0(1(0(2(1(2(1(2(2(1(2(1(1(2(z0)))))))))))))))))))))))), 2'(0(0(2(1(0(0(2(2(0(1(0(2(1(2(1(2(2(1(2(1(1(2(z0))))))))))))))))))))))), 0'(0(2(1(0(0(2(2(0(1(0(2(1(2(1(2(2(1(2(1(1(2(z0)))))))))))))))))))))), 0'(2(1(0(0(2(2(0(1(0(2(1(2(1(2(2(1(2(1(1(2(z0))))))))))))))))))))), 2'(1(0(0(2(2(0(1(0(2(1(2(1(2(2(1(2(1(1(2(z0)))))))))))))))))))), 1'(0(0(2(2(0(1(0(2(1(2(1(2(2(1(2(1(1(2(z0))))))))))))))))))), 0'(0(2(2(0(1(0(2(1(2(1(2(2(1(2(1(1(2(z0)))))))))))))))))), 0'(2(2(0(1(0(2(1(2(1(2(2(1(2(1(1(2(z0))))))))))))))))), 2'(2(0(1(0(2(1(2(1(2(2(1(2(1(1(2(z0)))))))))))))))), 2'(0(1(0(2(1(2(1(2(2(1(2(1(1(2(z0))))))))))))))), 0'(1(0(2(1(2(1(2(2(1(2(1(1(2(z0)))))))))))))), 1'(0(2(1(2(1(2(2(1(2(1(1(2(z0))))))))))))), 0'(2(1(2(1(2(2(1(2(1(1(2(z0)))))))))))), 2'(1(2(1(2(2(1(2(1(1(2(z0))))))))))), 1'(2(1(2(2(1(2(1(1(2(z0)))))))))), 2'(1(2(2(1(2(1(1(2(z0))))))))), 1'(2(2(1(2(1(1(2(z0)))))))), 2'(2(1(2(1(1(2(z0))))))), 2'(1(2(1(1(2(z0)))))), 1'(2(1(1(2(z0))))), 2'(1(1(2(z0)))), 1'(1(2(z0))), 1'(2(z0)), 2'(z0)) ENCODE_0(z0) -> c6(0'(encArg(z0))) ENCODE_1(z0) -> c6(1'(encArg(z0))) ENCODE_2(z0) -> c6(2'(encArg(z0))) ENCARG(cons_0(cons_0(z0))) -> c(0'(0(encArg(z0))), ENCARG(cons_0(z0))) ENCARG(cons_0(cons_1(z0))) -> c(0'(1(encArg(z0))), ENCARG(cons_1(z0))) ENCARG(cons_0(cons_2(z0))) -> c(0'(2(encArg(z0))), ENCARG(cons_2(z0))) ENCARG(cons_1(cons_0(z0))) -> c1(1'(0(encArg(z0))), ENCARG(cons_0(z0))) ENCARG(cons_1(cons_1(z0))) -> c1(1'(1(encArg(z0))), ENCARG(cons_1(z0))) ENCARG(cons_1(cons_2(z0))) -> c1(1'(2(encArg(z0))), ENCARG(cons_2(z0))) ENCARG(cons_2(cons_0(z0))) -> c2(2'(0(encArg(z0))), ENCARG(cons_0(z0))) ENCARG(cons_2(cons_1(z0))) -> c2(2'(1(encArg(z0))), ENCARG(cons_1(z0))) ENCARG(cons_2(cons_2(z0))) -> c2(2'(2(encArg(z0))), ENCARG(cons_2(z0))) 0'(c_0(c_2(c_0(c_2(c_2(c_1(c_2(c_1(c_1(c_2(c_1(c_1(c_2(c_1(c_0(c_0(c_0(c_0(c_1(c_1(c_2(c_1(x0))))))))))))))))))))))) -> c7(0'(c_0(1(2(2(1(1(2(2(1(1(2(2(2(2(0(1(2(1(2(1(1(1(0(1(2(2(x0))))))))))))))))))))))))))), 0'(1(2(2(1(1(2(2(1(1(2(2(2(2(0(1(2(1(2(1(1(1(0(1(2(2(x0)))))))))))))))))))))))))), 1'(2(2(1(1(2(2(1(1(2(2(2(2(0(1(2(1(2(1(1(1(0(1(2(2(x0))))))))))))))))))))))))), 2'(2(1(1(2(2(1(1(2(2(2(2(0(1(2(1(2(1(1(1(0(1(2(2(x0)))))))))))))))))))))))), 2'(1(1(2(2(1(1(2(2(2(2(0(1(2(1(2(1(1(1(0(1(2(2(x0))))))))))))))))))))))), 1'(1(2(2(1(1(2(2(2(2(0(1(2(1(2(1(1(1(0(1(2(2(x0)))))))))))))))))))))), 1'(2(2(1(1(2(2(2(2(0(1(2(1(2(1(1(1(0(1(2(2(x0))))))))))))))))))))), 2'(2(1(1(2(2(2(2(0(1(2(1(2(1(1(1(0(1(2(2(x0)))))))))))))))))))), 2'(1(1(2(2(2(2(0(1(2(1(2(1(1(1(0(1(2(2(x0))))))))))))))))))), 1'(1(2(2(2(2(0(1(2(1(2(1(1(1(0(1(2(2(x0)))))))))))))))))), 1'(2(2(2(2(0(1(2(1(2(1(1(1(0(1(2(2(x0))))))))))))))))), 2'(2(2(2(0(1(2(1(2(1(1(1(0(1(2(2(x0)))))))))))))))), 2'(2(2(0(1(2(1(2(1(1(1(0(1(2(2(x0))))))))))))))), 2'(2(0(1(2(1(2(1(1(1(0(1(2(2(x0)))))))))))))), 2'(0(1(2(1(2(1(1(1(0(1(2(2(x0))))))))))))), 0'(1(2(1(2(1(1(1(0(1(2(2(x0)))))))))))), 1'(2(1(2(1(1(1(0(1(2(2(x0))))))))))), 2'(1(2(1(1(1(0(1(2(2(x0)))))))))), 1'(2(1(1(1(0(1(2(2(x0))))))))), 2'(1(1(1(0(1(2(2(x0)))))))), 1'(1(1(0(1(2(2(x0))))))), 1'(1(0(1(2(2(x0)))))), 1'(0(1(2(2(x0))))), 0'(1(2(2(x0)))), 1'(2(2(x0))), 2'(2(x0)), 2'(x0)) 0'(c_0(c_2(c_0(c_2(c_2(c_1(c_2(c_1(c_1(c_2(c_1(c_1(c_2(c_1(c_0(c_0(c_0(c_0(c_1(c_1(c_2(c_1(x0))))))))))))))))))))))) -> c7(0'(0(c_1(2(2(1(1(2(2(1(1(2(2(2(2(0(1(2(1(2(1(1(1(0(1(2(2(x0))))))))))))))))))))))))))), 0'(1(2(2(1(1(2(2(1(1(2(2(2(2(0(1(2(1(2(1(1(1(0(1(2(2(x0)))))))))))))))))))))))))), 1'(2(2(1(1(2(2(1(1(2(2(2(2(0(1(2(1(2(1(1(1(0(1(2(2(x0))))))))))))))))))))))))), 2'(2(1(1(2(2(1(1(2(2(2(2(0(1(2(1(2(1(1(1(0(1(2(2(x0)))))))))))))))))))))))), 2'(1(1(2(2(1(1(2(2(2(2(0(1(2(1(2(1(1(1(0(1(2(2(x0))))))))))))))))))))))), 1'(1(2(2(1(1(2(2(2(2(0(1(2(1(2(1(1(1(0(1(2(2(x0)))))))))))))))))))))), 1'(2(2(1(1(2(2(2(2(0(1(2(1(2(1(1(1(0(1(2(2(x0))))))))))))))))))))), 2'(2(1(1(2(2(2(2(0(1(2(1(2(1(1(1(0(1(2(2(x0)))))))))))))))))))), 2'(1(1(2(2(2(2(0(1(2(1(2(1(1(1(0(1(2(2(x0))))))))))))))))))), 1'(1(2(2(2(2(0(1(2(1(2(1(1(1(0(1(2(2(x0)))))))))))))))))), 1'(2(2(2(2(0(1(2(1(2(1(1(1(0(1(2(2(x0))))))))))))))))), 2'(2(2(2(0(1(2(1(2(1(1(1(0(1(2(2(x0)))))))))))))))), 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1'(2(1(0(1(1(1(2(2(2(z0)))))))))), 2'(1(0(1(1(1(2(2(2(z0))))))))), 1'(0(1(1(1(2(2(2(z0)))))))), 0'(1(1(1(2(2(2(z0))))))), 1'(1(1(2(2(2(z0)))))), 1'(1(2(2(2(z0))))), 1'(2(2(2(z0)))), 2'(2(2(z0))), 2'(2(z0)), 2'(z0)) 1'(c_1(c_0(c_1(c_2(c_2(c_2(c_2(c_1(c_0(c_2(c_1(c_2(c_0(c_0(c_0(c_1(c_0(c_2(c_1(c_1(c_1(c_2(z0))))))))))))))))))))))) -> c20(2'(1(2(1(2(2(2(2(2(0(0(0(0(2(1(2(2(2(2(1(2(2(2(0(0(2(2(z0))))))))))))))))))))))))))), 1'(2(1(2(2(2(2(2(0(0(0(0(2(1(2(2(2(2(1(2(2(2(0(0(2(2(z0)))))))))))))))))))))))))), 2'(1(2(2(2(2(2(0(0(0(0(2(1(2(2(2(2(1(2(2(2(0(0(2(2(z0))))))))))))))))))))))))), 1'(2(2(2(2(2(0(0(0(0(2(1(2(2(2(2(1(2(2(2(0(0(2(2(z0)))))))))))))))))))))))), 2'(2(2(2(2(0(0(0(0(2(1(2(2(2(2(1(2(2(2(0(0(2(2(z0))))))))))))))))))))))), 2'(2(2(2(0(0(0(0(2(1(2(2(2(2(1(2(2(2(0(0(2(2(z0)))))))))))))))))))))), 2'(2(2(0(0(0(0(2(1(2(2(2(2(1(2(2(2(0(0(2(2(z0))))))))))))))))))))), 2'(2(0(0(0(0(2(1(2(2(2(2(1(2(2(2(0(0(2(2(z0)))))))))))))))))))), 2'(0(0(0(0(2(1(2(2(2(2(1(2(2(2(0(0(2(2(z0))))))))))))))))))), 0'(0(0(0(2(1(2(2(2(2(1(2(2(2(0(0(2(2(z0)))))))))))))))))), 0'(0(0(2(1(2(2(2(2(1(2(2(2(0(0(2(2(z0))))))))))))))))), 0'(0(2(1(2(2(2(2(1(2(2(2(0(0(2(2(z0)))))))))))))))), 0'(2(1(2(2(2(2(1(2(2(2(0(0(2(2(z0))))))))))))))), 2'(1(2(2(2(2(1(2(2(2(0(0(2(2(z0)))))))))))))), 1'(2(2(2(2(1(2(2(2(0(0(2(2(z0))))))))))))), 2'(2(2(2(1(2(2(2(0(0(2(2(z0)))))))))))), 2'(2(2(1(2(2(2(0(0(2(2(z0))))))))))), 2'(2(1(2(2(2(0(0(2(2(z0)))))))))), 2'(1(2(2(2(0(0(2(2(z0))))))))), 1'(2(2(2(0(0(2(2(z0)))))))), 2'(2(2(0(0(2(2(z0))))))), 2'(2(0(0(2(2(z0)))))), 2'(0(0(2(2(z0))))), 0'(0(2(2(z0)))), 0'(2(2(z0))), 2'(2(z0)), 2'(z0)) 1'(c_1(c_2(c_2(c_1(c_0(c_2(c_0(c_1(c_1(c_2(c_2(c_2(c_1(c_0(c_1(c_0(c_0(c_2(c_1(c_1(c_0(c_2(z0))))))))))))))))))))))) -> c21(2'(2(2(1(1(2(2(2(1(2(2(0(0(2(0(0(1(2(0(2(2(1(2(2(2(0(2(z0))))))))))))))))))))))))))), 2'(2(1(1(2(2(2(1(2(2(0(0(2(0(0(1(2(0(2(2(1(2(2(2(0(2(z0)))))))))))))))))))))))))), 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c26(1'(2(1(2(1(2(2(2(2(2(2(0(0(2(0(0(2(2(0(1(1(1(1(0(0(2(1(z0))))))))))))))))))))))))))), 2'(1(2(1(2(2(2(2(2(2(0(0(2(0(0(2(2(0(1(1(1(1(0(0(2(1(z0)))))))))))))))))))))))))), 1'(2(1(2(2(2(2(2(2(0(0(2(0(0(2(2(0(1(1(1(1(0(0(2(1(z0))))))))))))))))))))))))), 2'(1(2(2(2(2(2(2(0(0(2(0(0(2(2(0(1(1(1(1(0(0(2(1(z0)))))))))))))))))))))))), 1'(2(2(2(2(2(2(0(0(2(0(0(2(2(0(1(1(1(1(0(0(2(1(z0))))))))))))))))))))))), 2'(2(2(2(2(2(0(0(2(0(0(2(2(0(1(1(1(1(0(0(2(1(z0)))))))))))))))))))))), 2'(2(2(2(2(0(0(2(0(0(2(2(0(1(1(1(1(0(0(2(1(z0))))))))))))))))))))), 2'(2(2(2(0(0(2(0(0(2(2(0(1(1(1(1(0(0(2(1(z0)))))))))))))))))))), 2'(2(2(0(0(2(0(0(2(2(0(1(1(1(1(0(0(2(1(z0))))))))))))))))))), 2'(2(0(0(2(0(0(2(2(0(1(1(1(1(0(0(2(1(z0)))))))))))))))))), 2'(0(0(2(0(0(2(2(0(1(1(1(1(0(0(2(1(z0))))))))))))))))), 0'(0(2(0(0(2(2(0(1(1(1(1(0(0(2(1(z0)))))))))))))))), 0'(2(0(0(2(2(0(1(1(1(1(0(0(2(1(z0))))))))))))))), 2'(0(0(2(2(0(1(1(1(1(0(0(2(1(z0)))))))))))))), 0'(0(2(2(0(1(1(1(1(0(0(2(1(z0))))))))))))), 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1'(1(2(2(2(2(2(2(2(1(0(0(0(2(2(c_1(c_2(c_1(c_0(c_2(c_1(c_2(c_0(c_0(c_0(c_0(c_2(c_0(c_0(c_0(c_2(c_2(c_0(c_0(c_0(c_0(c_1(z0))))))))))))))))))))))))))))))))))))), 1'(2(2(2(2(2(2(2(1(0(0(0(2(2(c_1(c_2(c_1(c_0(c_2(c_1(c_2(c_0(c_0(c_0(c_0(c_2(c_0(c_0(c_0(c_2(c_2(c_0(c_0(c_0(c_0(c_1(z0)))))))))))))))))))))))))))))))))))), 2'(2(2(2(2(2(2(1(0(0(0(2(2(c_1(c_2(c_1(c_0(c_2(c_1(c_2(c_0(c_0(c_0(c_0(c_2(c_0(c_0(c_0(c_2(c_2(c_0(c_0(c_0(c_0(c_1(z0))))))))))))))))))))))))))))))))))), 2'(2(2(2(2(2(1(0(0(0(2(2(c_1(c_2(c_1(c_0(c_2(c_1(c_2(c_0(c_0(c_0(c_0(c_2(c_0(c_0(c_0(c_2(c_2(c_0(c_0(c_0(c_0(c_1(z0)))))))))))))))))))))))))))))))))), 2'(2(2(2(2(1(0(0(0(2(2(c_1(c_2(c_1(c_0(c_2(c_1(c_2(c_0(c_0(c_0(c_0(c_2(c_0(c_0(c_0(c_2(c_2(c_0(c_0(c_0(c_0(c_1(z0))))))))))))))))))))))))))))))))), 2'(2(2(2(1(0(0(0(2(2(c_1(c_2(c_1(c_0(c_2(c_1(c_2(c_0(c_0(c_0(c_0(c_2(c_0(c_0(c_0(c_2(c_2(c_0(c_0(c_0(c_0(c_1(z0)))))))))))))))))))))))))))))))), 2'(2(2(1(0(0(0(2(2(c_1(c_2(c_1(c_0(c_2(c_1(c_2(c_0(c_0(c_0(c_0(c_2(c_0(c_0(c_0(c_2(c_2(c_0(c_0(c_0(c_0(c_1(z0))))))))))))))))))))))))))))))), 2'(2(1(0(0(0(2(2(c_1(c_2(c_1(c_0(c_2(c_1(c_2(c_0(c_0(c_0(c_0(c_2(c_0(c_0(c_0(c_2(c_2(c_0(c_0(c_0(c_0(c_1(z0)))))))))))))))))))))))))))))), 2'(1(0(0(0(2(2(c_1(c_2(c_1(c_0(c_2(c_1(c_2(c_0(c_0(c_0(c_0(c_2(c_0(c_0(c_0(c_2(c_2(c_0(c_0(c_0(c_0(c_1(z0))))))))))))))))))))))))))))), 1'(0(0(0(2(2(c_1(c_2(c_1(c_0(c_2(c_1(c_2(c_0(c_0(c_0(c_0(c_2(c_0(c_0(c_0(c_2(c_2(c_0(c_0(c_0(c_0(c_1(z0)))))))))))))))))))))))))))), 0'(0(0(2(2(c_1(c_2(c_1(c_0(c_2(c_1(c_2(c_0(c_0(c_0(c_0(c_2(c_0(c_0(c_0(c_2(c_2(c_0(c_0(c_0(c_0(c_1(z0))))))))))))))))))))))))))), 0'(0(2(2(c_1(c_2(c_1(c_0(c_2(c_1(c_2(c_0(c_0(c_0(c_0(c_2(c_0(c_0(c_0(c_2(c_2(c_0(c_0(c_0(c_0(c_1(z0)))))))))))))))))))))))))), 0'(2(2(c_1(c_2(c_1(c_0(c_2(c_1(c_2(c_0(c_0(c_0(c_0(c_2(c_0(c_0(c_0(c_2(c_2(c_0(c_0(c_0(c_0(c_1(z0))))))))))))))))))))))))), 2'(2(c_1(c_2(c_1(c_0(c_2(c_1(c_2(c_0(c_0(c_0(c_0(c_2(c_0(c_0(c_0(c_2(c_2(c_0(c_0(c_0(c_0(c_1(z0)))))))))))))))))))))))), 2'(c_1(c_2(c_1(c_0(c_2(c_1(c_2(c_0(c_0(c_0(c_0(c_2(c_0(c_0(c_0(c_2(c_2(c_0(c_0(c_0(c_0(c_1(z0)))))))))))))))))))))))) K tuples:none Defined Rule Symbols: encArg_1, 0_1, 1_1, 2_1 Defined Pair Symbols: 0'_1, 1'_1, 2'_1, ENCODE_0_1, ENCODE_1_1, ENCODE_2_1, ENCARG_1 Compound Symbols: c10_27, c11_27, c12_27, c13_27, c14_27, c15_27, c16_27, c18_27, c19_27, c20_27, c21_27, c22_27, c23_27, c24_27, c25_27, c26_27, c27_27, c28_27, c30_27, c31_27, c32_27, c33_27, c34_27, c35_27, c36_27, c37_27, c38_27, c39_27, c40_27, c41_27, c42_27, c43_27, c44_27, c45_27, c46_27, c47_27, c48_27, c6_1, c_2, c1_2, c2_2, c7_27, c8_27, c8_26, c9_27 ---------------------------------------- (63) CdtRhsSimplificationProcessorProof (BOTH BOUNDS(ID, ID)) Removed 1 trailing tuple parts ---------------------------------------- (64) Obligation: Complexity Dependency Tuples Problem Rules: encArg(cons_0(z0)) -> 0(encArg(z0)) encArg(cons_1(z0)) -> 1(encArg(z0)) encArg(cons_2(z0)) -> 2(encArg(z0)) 0(z0) -> c_0(z0) 0(c_0(c_2(c_0(c_2(c_2(c_1(c_2(c_1(c_1(c_2(c_1(c_1(c_2(c_1(c_0(c_0(c_0(c_0(c_1(c_1(c_2(c_1(z0))))))))))))))))))))))) -> 0(0(1(2(2(1(1(2(2(1(1(2(2(2(2(0(1(2(1(2(1(1(1(0(1(2(2(z0))))))))))))))))))))))))))) 0(c_1(c_1(c_1(c_2(c_2(c_1(c_0(c_0(c_2(c_2(c_2(c_2(c_0(c_2(c_0(c_0(c_0(c_0(c_1(c_0(c_0(c_2(z0))))))))))))))))))))))) -> 0(2(1(1(1(1(2(2(1(1(0(1(1(2(1(2(1(0(0(1(2(2(1(0(0(2(2(z0))))))))))))))))))))))))))) 0(c_1(c_1(c_0(c_1(c_1(c_1(c_2(c_2(c_0(c_2(c_0(c_1(c_2(c_2(c_2(c_0(c_1(c_2(c_0(c_1(c_0(c_2(z0))))))))))))))))))))))) -> 0(2(0(1(0(2(0(2(2(2(1(2(1(1(2(2(2(2(2(2(2(1(0(0(0(2(2(z0))))))))))))))))))))))))))) 0(c_1(c_0(c_0(c_1(c_2(c_2(c_1(c_0(c_1(c_2(c_1(c_2(c_0(c_1(c_0(c_2(c_2(c_0(c_1(c_2(c_1(c_0(z0))))))))))))))))))))))) -> 0(0(0(1(2(2(2(2(2(2(2(0(0(0(0(1(2(1(2(2(2(1(0(2(0(2(0(z0))))))))))))))))))))))))))) 0(c_0(c_1(c_2(c_0(c_1(c_0(c_0(c_2(c_0(c_1(c_1(c_0(c_1(c_2(c_1(c_1(c_2(c_2(c_1(c_1(c_0(c_2(z0))))))))))))))))))))))) -> 0(2(2(2(0(1(1(2(1(2(2(1(2(1(0(2(2(2(1(2(1(1(0(0(1(0(2(z0))))))))))))))))))))))))))) 0(c_1(c_1(c_1(c_1(c_2(c_1(c_1(c_2(c_2(c_0(c_1(c_0(c_1(c_1(c_0(c_2(c_0(c_0(c_2(c_0(c_1(c_0(z0))))))))))))))))))))))) -> 2(2(2(2(2(1(0(1(2(2(0(1(1(1(2(2(1(1(0(0(0(0(2(2(1(2(2(z0))))))))))))))))))))))))))) 0(c_1(c_2(c_1(c_1(c_2(c_2(c_2(c_1(c_1(c_0(c_0(c_1(c_0(c_2(c_0(c_2(c_2(c_1(c_0(c_2(c_1(c_1(z0))))))))))))))))))))))) -> 2(1(2(1(2(1(2(2(0(2(0(1(2(1(2(1(2(0(1(2(0(0(2(2(1(1(2(z0))))))))))))))))))))))))))) 0(c_0(c_1(c_0(c_2(c_2(c_1(c_2(c_0(c_0(c_1(c_2(c_0(c_2(c_2(c_2(c_1(c_1(c_2(c_0(c_0(c_2(c_1(z0))))))))))))))))))))))) -> 0(1(1(1(0(2(1(2(1(2(0(1(1(2(1(1(2(2(2(2(2(0(2(2(2(1(2(z0))))))))))))))))))))))))))) 0(c_0(c_0(c_0(c_1(c_0(c_0(c_2(c_2(c_1(c_0(c_2(c_0(c_2(c_1(c_1(c_2(c_1(c_2(c_2(c_0(c_1(c_1(z0))))))))))))))))))))))) -> 0(1(2(0(0(2(1(2(2(1(1(2(1(1(1(1(2(2(2(1(2(1(0(2(1(1(0(z0))))))))))))))))))))))))))) 0(c_0(c_0(c_2(c_2(c_0(c_2(c_2(c_2(c_1(c_1(c_0(c_2(c_2(c_1(c_2(c_1(c_0(c_2(c_0(c_0(c_0(c_1(z0))))))))))))))))))))))) -> 2(0(1(1(1(2(2(1(1(2(2(2(2(1(0(1(2(1(1(2(2(2(1(2(1(2(2(z0))))))))))))))))))))))))))) 1(z0) -> c_1(z0) 1(c_2(c_0(c_0(c_2(c_0(c_1(c_2(c_2(c_0(c_2(c_1(c_2(c_1(c_2(c_0(c_1(c_0(c_1(c_2(c_0(c_2(c_1(z0))))))))))))))))))))))) -> 1(2(2(0(2(1(2(2(0(1(0(2(1(0(1(2(1(2(2(2(2(0(2(2(0(2(0(z0))))))))))))))))))))))))))) 1(c_1(c_0(c_2(c_1(c_2(c_2(c_2(c_2(c_1(c_0(c_1(c_2(c_0(c_1(c_2(c_1(c_1(c_0(c_2(c_1(c_2(c_0(z0))))))))))))))))))))))) -> 2(2(1(2(1(2(2(1(0(1(2(2(2(1(0(2(1(1(2(1(0(1(1(1(2(2(2(z0))))))))))))))))))))))))))) 1(c_1(c_0(c_1(c_2(c_2(c_2(c_2(c_1(c_0(c_2(c_1(c_2(c_0(c_0(c_0(c_1(c_0(c_2(c_1(c_1(c_1(c_2(z0))))))))))))))))))))))) -> 2(1(2(1(2(2(2(2(2(0(0(0(0(2(1(2(2(2(2(1(2(2(2(0(0(2(2(z0))))))))))))))))))))))))))) 1(c_1(c_2(c_2(c_1(c_0(c_2(c_0(c_1(c_1(c_2(c_2(c_2(c_1(c_0(c_1(c_0(c_0(c_2(c_1(c_1(c_0(c_2(z0))))))))))))))))))))))) -> 2(2(2(1(1(2(2(2(1(2(2(0(0(2(0(0(1(2(0(2(2(1(2(2(2(0(2(z0))))))))))))))))))))))))))) 1(c_0(c_1(c_0(c_2(c_2(c_2(c_2(c_1(c_0(c_0(c_2(c_0(c_2(c_1(c_2(c_1(c_2(c_1(c_1(c_2(c_0(c_2(z0))))))))))))))))))))))) -> 2(1(2(0(2(0(2(0(2(2(2(2(1(2(1(2(2(2(1(1(2(1(0(1(1(2(2(z0))))))))))))))))))))))))))) 1(c_1(c_1(c_0(c_2(c_2(c_1(c_1(c_1(c_2(c_2(c_0(c_2(c_0(c_2(c_1(c_1(c_2(c_1(c_2(c_1(c_2(c_2(z0))))))))))))))))))))))) -> 1(2(1(2(1(1(1(1(2(1(1(1(2(2(0(1(0(2(2(1(2(2(2(1(0(1(2(z0))))))))))))))))))))))))))) 1(c_0(c_0(c_1(c_0(c_1(c_1(c_0(c_2(c_1(c_1(c_2(c_1(c_2(c_1(c_2(c_0(c_1(c_2(c_2(c_1(c_2(c_1(z0))))))))))))))))))))))) -> 1(2(0(0(1(1(2(2(1(2(0(2(2(0(1(1(2(2(2(1(2(2(2(2(2(1(2(z0))))))))))))))))))))))))))) 1(c_2(c_2(c_2(c_1(c_1(c_0(c_0(c_2(c_2(c_2(c_0(c_0(c_0(c_2(c_1(c_2(c_2(c_0(c_2(c_0(c_2(c_0(z0))))))))))))))))))))))) -> 1(2(1(2(0(0(1(1(1(2(2(2(2(1(2(2(2(0(2(0(1(2(2(2(2(0(0(z0))))))))))))))))))))))))))) 1(c_2(c_0(c_2(c_1(c_2(c_2(c_1(c_2(c_2(c_2(c_0(c_1(c_1(c_1(c_1(c_0(c_1(c_0(c_0(c_2(c_0(c_1(z0))))))))))))))))))))))) -> 1(2(1(2(1(2(2(2(2(2(2(0(0(2(0(0(2(2(0(1(1(1(1(0(0(2(1(z0))))))))))))))))))))))))))) 1(c_1(c_0(c_2(c_1(c_0(c_2(c_0(c_1(c_2(c_0(c_2(c_0(c_0(c_2(c_1(c_0(c_1(c_0(c_1(c_2(c_1(c_2(z0))))))))))))))))))))))) -> 2(0(2(2(1(1(1(2(2(0(1(2(0(2(1(1(2(1(0(0(2(0(1(2(2(2(2(z0))))))))))))))))))))))))))) 1(c_1(c_0(c_0(c_1(c_1(c_1(c_2(c_2(c_2(c_1(c_2(c_1(c_0(c_0(c_0(c_2(c_2(c_2(c_0(c_1(c_2(c_0(z0))))))))))))))))))))))) -> 2(1(2(1(2(2(2(1(2(2(0(2(2(1(0(2(1(2(2(0(1(0(1(1(2(2(2(z0))))))))))))))))))))))))))) 2(z0) -> c_2(z0) 2(c_2(c_1(c_1(c_1(c_0(c_0(c_2(c_1(c_0(c_2(c_1(c_2(c_0(c_0(c_2(c_1(c_0(c_1(c_1(c_2(c_2(c_1(z0))))))))))))))))))))))) -> 2(1(2(2(0(1(2(1(1(0(1(2(1(0(0(1(2(2(1(2(1(0(2(1(2(2(1(z0))))))))))))))))))))))))))) 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1(2(1(2(2(1(1(1(1(2(2(2(1(2(0(0(0(1(2(0(0(1(2(2(2(2(2(z0))))))))))))))))))))))))))) 2(c_1(c_1(c_0(c_2(c_2(c_2(c_0(c_1(c_2(c_1(c_1(c_0(c_1(c_2(c_0(c_0(c_1(c_1(c_1(c_1(c_2(c_2(z0))))))))))))))))))))))) -> 2(0(0(2(1(0(0(0(0(0(1(2(1(1(2(1(1(2(1(2(2(0(1(1(1(2(2(z0))))))))))))))))))))))))))) 2(c_2(c_1(c_2(c_1(c_2(c_2(c_2(c_0(c_1(c_2(c_1(c_2(c_2(c_2(c_2(c_1(c_1(c_0(c_1(c_0(c_1(c_0(z0))))))))))))))))))))))) -> 1(2(1(2(1(2(0(1(2(2(0(1(1(1(2(2(1(1(1(2(2(0(1(0(1(2(2(z0))))))))))))))))))))))))))) 2(c_0(c_2(c_0(c_1(c_2(c_2(c_0(c_0(c_2(c_2(c_2(c_1(c_1(c_1(c_2(c_1(c_0(c_2(c_0(c_2(c_2(c_0(z0))))))))))))))))))))))) -> 2(1(1(1(2(2(0(0(0(2(1(0(0(0(1(1(0(2(2(0(2(2(2(2(2(2(0(z0))))))))))))))))))))))))))) 2(c_2(c_0(c_0(c_2(c_1(c_2(c_0(c_1(c_2(c_0(c_2(c_1(c_0(c_1(c_1(c_2(c_2(c_1(c_0(c_1(c_0(c_2(z0))))))))))))))))))))))) -> 2(2(2(2(1(2(1(2(0(2(2(2(2(2(0(1(2(0(2(1(0(0(0(2(0(2(2(z0))))))))))))))))))))))))))) 2(c_2(c_2(c_0(c_0(c_1(c_0(c_0(c_2(c_0(c_0(c_2(c_1(c_1(c_2(c_1(c_0(c_1(c_2(c_2(c_2(c_1(c_0(z0))))))))))))))))))))))) -> 1(2(2(2(2(0(1(2(1(2(0(1(2(1(2(1(0(1(0(1(0(1(1(2(2(1(0(z0))))))))))))))))))))))))))) 2(c_1(c_0(c_1(c_1(c_2(c_0(c_0(c_2(c_1(c_0(c_0(c_0(c_1(c_2(c_1(c_1(c_2(c_0(c_2(c_1(c_2(c_1(z0))))))))))))))))))))))) -> 2(0(2(2(0(0(2(2(1(1(1(2(0(1(0(1(2(2(2(2(2(0(0(0(2(2(1(z0))))))))))))))))))))))))))) 2(c_2(c_1(c_2(c_2(c_0(c_0(c_2(c_1(c_1(c_0(c_2(c_2(c_0(c_2(c_2(c_0(c_2(c_2(c_1(c_2(c_0(c_2(z0))))))))))))))))))))))) -> 1(2(1(1(1(2(2(2(1(2(1(0(2(1(1(1(1(2(2(0(0(1(1(0(2(1(2(z0))))))))))))))))))))))))))) 2(c_2(c_0(c_0(c_1(c_2(c_1(c_1(c_2(c_1(c_0(c_0(c_0(c_0(c_0(c_2(c_1(c_2(c_1(c_1(c_2(c_0(c_2(z0))))))))))))))))))))))) -> 2(1(1(2(2(2(2(1(2(1(0(0(2(1(0(2(2(0(1(1(0(2(0(0(0(0(2(z0))))))))))))))))))))))))))) 2(c_0(c_1(c_0(c_0(c_0(c_1(c_0(c_0(c_0(c_0(c_0(c_0(c_0(c_1(c_0(c_2(c_0(c_0(c_2(c_2(c_2(c_2(z0))))))))))))))))))))))) -> 2(2(2(1(1(2(1(2(0(1(1(2(1(0(2(1(0(0(1(0(1(1(2(1(2(2(2(z0))))))))))))))))))))))))))) 2(c_2(c_0(c_0(c_1(c_0(c_1(c_2(c_2(c_2(c_1(c_1(c_0(c_0(c_1(c_2(c_2(c_1(c_2(c_0(c_1(c_2(c_1(z0))))))))))))))))))))))) -> 2(2(2(2(0(2(0(2(2(1(2(1(0(1(1(2(2(0(0(2(1(2(1(2(1(2(0(z0))))))))))))))))))))))))))) 2(c_2(c_1(c_1(c_2(c_2(c_1(c_2(c_1(c_1(c_1(c_0(c_0(c_2(c_1(c_1(c_0(c_2(c_0(c_0(c_1(c_1(c_2(z0))))))))))))))))))))))) -> 2(1(1(1(2(2(2(1(1(0(2(2(1(0(1(0(2(2(1(2(0(0(0(1(2(1(2(z0))))))))))))))))))))))))))) 2(c_2(c_0(c_1(c_1(c_0(c_0(c_1(c_2(c_1(c_0(c_2(c_1(c_2(c_2(c_2(c_1(c_0(c_0(c_2(c_2(c_2(c_0(z0))))))))))))))))))))))) -> 2(2(1(0(0(0(0(2(2(1(1(2(2(1(0(2(1(2(1(2(2(1(2(2(2(0(0(z0))))))))))))))))))))))))))) 2(c_1(c_2(c_1(c_0(c_2(c_1(c_2(c_0(c_0(c_0(c_0(c_2(c_0(c_0(c_0(c_2(c_2(c_0(c_0(c_0(c_0(c_1(z0))))))))))))))))))))))) -> 2(1(2(1(2(0(0(2(1(0(0(2(2(0(1(0(2(1(2(1(2(2(1(2(1(1(2(z0))))))))))))))))))))))))))) Tuples: 0'(c_1(c_0(c_0(c_1(c_2(c_2(c_1(c_0(c_1(c_2(c_1(c_2(c_0(c_1(c_0(c_2(c_2(c_0(c_1(c_2(c_1(c_0(z0))))))))))))))))))))))) -> c10(0'(0(0(1(2(2(2(2(2(2(2(0(0(0(0(1(2(1(2(2(2(1(0(2(0(2(0(z0))))))))))))))))))))))))))), 0'(0(1(2(2(2(2(2(2(2(0(0(0(0(1(2(1(2(2(2(1(0(2(0(2(0(z0)))))))))))))))))))))))))), 0'(1(2(2(2(2(2(2(2(0(0(0(0(1(2(1(2(2(2(1(0(2(0(2(0(z0))))))))))))))))))))))))), 1'(2(2(2(2(2(2(2(0(0(0(0(1(2(1(2(2(2(1(0(2(0(2(0(z0)))))))))))))))))))))))), 2'(2(2(2(2(2(2(0(0(0(0(1(2(1(2(2(2(1(0(2(0(2(0(z0))))))))))))))))))))))), 2'(2(2(2(2(2(0(0(0(0(1(2(1(2(2(2(1(0(2(0(2(0(z0)))))))))))))))))))))), 2'(2(2(2(2(0(0(0(0(1(2(1(2(2(2(1(0(2(0(2(0(z0))))))))))))))))))))), 2'(2(2(2(0(0(0(0(1(2(1(2(2(2(1(0(2(0(2(0(z0)))))))))))))))))))), 2'(2(2(0(0(0(0(1(2(1(2(2(2(1(0(2(0(2(0(z0))))))))))))))))))), 2'(2(0(0(0(0(1(2(1(2(2(2(1(0(2(0(2(0(z0)))))))))))))))))), 2'(0(0(0(0(1(2(1(2(2(2(1(0(2(0(2(0(z0))))))))))))))))), 0'(0(0(0(1(2(1(2(2(2(1(0(2(0(2(0(z0)))))))))))))))), 0'(0(0(1(2(1(2(2(2(1(0(2(0(2(0(z0))))))))))))))), 0'(0(1(2(1(2(2(2(1(0(2(0(2(0(z0)))))))))))))), 0'(1(2(1(2(2(2(1(0(2(0(2(0(z0))))))))))))), 1'(2(1(2(2(2(1(0(2(0(2(0(z0)))))))))))), 2'(1(2(2(2(1(0(2(0(2(0(z0))))))))))), 1'(2(2(2(1(0(2(0(2(0(z0)))))))))), 2'(2(2(1(0(2(0(2(0(z0))))))))), 2'(2(1(0(2(0(2(0(z0)))))))), 2'(1(0(2(0(2(0(z0))))))), 1'(0(2(0(2(0(z0)))))), 0'(2(0(2(0(z0))))), 2'(0(2(0(z0)))), 0'(2(0(z0))), 2'(0(z0)), 0'(z0)) 0'(c_0(c_1(c_2(c_0(c_1(c_0(c_0(c_2(c_0(c_1(c_1(c_0(c_1(c_2(c_1(c_1(c_2(c_2(c_1(c_1(c_0(c_2(z0))))))))))))))))))))))) -> c11(0'(2(2(2(0(1(1(2(1(2(2(1(2(1(0(2(2(2(1(2(1(1(0(0(1(0(2(z0))))))))))))))))))))))))))), 2'(2(2(0(1(1(2(1(2(2(1(2(1(0(2(2(2(1(2(1(1(0(0(1(0(2(z0)))))))))))))))))))))))))), 2'(2(0(1(1(2(1(2(2(1(2(1(0(2(2(2(1(2(1(1(0(0(1(0(2(z0))))))))))))))))))))))))), 2'(0(1(1(2(1(2(2(1(2(1(0(2(2(2(1(2(1(1(0(0(1(0(2(z0)))))))))))))))))))))))), 0'(1(1(2(1(2(2(1(2(1(0(2(2(2(1(2(1(1(0(0(1(0(2(z0))))))))))))))))))))))), 1'(1(2(1(2(2(1(2(1(0(2(2(2(1(2(1(1(0(0(1(0(2(z0)))))))))))))))))))))), 1'(2(1(2(2(1(2(1(0(2(2(2(1(2(1(1(0(0(1(0(2(z0))))))))))))))))))))), 2'(1(2(2(1(2(1(0(2(2(2(1(2(1(1(0(0(1(0(2(z0)))))))))))))))))))), 1'(2(2(1(2(1(0(2(2(2(1(2(1(1(0(0(1(0(2(z0))))))))))))))))))), 2'(2(1(2(1(0(2(2(2(1(2(1(1(0(0(1(0(2(z0)))))))))))))))))), 2'(1(2(1(0(2(2(2(1(2(1(1(0(0(1(0(2(z0))))))))))))))))), 1'(2(1(0(2(2(2(1(2(1(1(0(0(1(0(2(z0)))))))))))))))), 2'(1(0(2(2(2(1(2(1(1(0(0(1(0(2(z0))))))))))))))), 1'(0(2(2(2(1(2(1(1(0(0(1(0(2(z0)))))))))))))), 0'(2(2(2(1(2(1(1(0(0(1(0(2(z0))))))))))))), 2'(2(2(1(2(1(1(0(0(1(0(2(z0)))))))))))), 2'(2(1(2(1(1(0(0(1(0(2(z0))))))))))), 2'(1(2(1(1(0(0(1(0(2(z0)))))))))), 1'(2(1(1(0(0(1(0(2(z0))))))))), 2'(1(1(0(0(1(0(2(z0)))))))), 1'(1(0(0(1(0(2(z0))))))), 1'(0(0(1(0(2(z0)))))), 0'(0(1(0(2(z0))))), 0'(1(0(2(z0)))), 1'(0(2(z0))), 0'(2(z0)), 2'(z0)) 0'(c_1(c_1(c_1(c_1(c_2(c_1(c_1(c_2(c_2(c_0(c_1(c_0(c_1(c_1(c_0(c_2(c_0(c_0(c_2(c_0(c_1(c_0(z0))))))))))))))))))))))) -> c12(2'(2(2(2(2(1(0(1(2(2(0(1(1(1(2(2(1(1(0(0(0(0(2(2(1(2(2(z0))))))))))))))))))))))))))), 2'(2(2(2(1(0(1(2(2(0(1(1(1(2(2(1(1(0(0(0(0(2(2(1(2(2(z0)))))))))))))))))))))))))), 2'(2(2(1(0(1(2(2(0(1(1(1(2(2(1(1(0(0(0(0(2(2(1(2(2(z0))))))))))))))))))))))))), 2'(2(1(0(1(2(2(0(1(1(1(2(2(1(1(0(0(0(0(2(2(1(2(2(z0)))))))))))))))))))))))), 2'(1(0(1(2(2(0(1(1(1(2(2(1(1(0(0(0(0(2(2(1(2(2(z0))))))))))))))))))))))), 1'(0(1(2(2(0(1(1(1(2(2(1(1(0(0(0(0(2(2(1(2(2(z0)))))))))))))))))))))), 0'(1(2(2(0(1(1(1(2(2(1(1(0(0(0(0(2(2(1(2(2(z0))))))))))))))))))))), 1'(2(2(0(1(1(1(2(2(1(1(0(0(0(0(2(2(1(2(2(z0)))))))))))))))))))), 2'(2(0(1(1(1(2(2(1(1(0(0(0(0(2(2(1(2(2(z0))))))))))))))))))), 2'(0(1(1(1(2(2(1(1(0(0(0(0(2(2(1(2(2(z0)))))))))))))))))), 0'(1(1(1(2(2(1(1(0(0(0(0(2(2(1(2(2(z0))))))))))))))))), 1'(1(1(2(2(1(1(0(0(0(0(2(2(1(2(2(z0)))))))))))))))), 1'(1(2(2(1(1(0(0(0(0(2(2(1(2(2(z0))))))))))))))), 1'(2(2(1(1(0(0(0(0(2(2(1(2(2(z0)))))))))))))), 2'(2(1(1(0(0(0(0(2(2(1(2(2(z0))))))))))))), 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c22(2'(1(2(0(2(0(2(0(2(2(2(2(1(2(1(2(2(2(1(1(2(1(0(1(1(2(2(z0))))))))))))))))))))))))))), 1'(2(0(2(0(2(0(2(2(2(2(1(2(1(2(2(2(1(1(2(1(0(1(1(2(2(z0)))))))))))))))))))))))))), 2'(0(2(0(2(0(2(2(2(2(1(2(1(2(2(2(1(1(2(1(0(1(1(2(2(z0))))))))))))))))))))))))), 0'(2(0(2(0(2(2(2(2(1(2(1(2(2(2(1(1(2(1(0(1(1(2(2(z0)))))))))))))))))))))))), 2'(0(2(0(2(2(2(2(1(2(1(2(2(2(1(1(2(1(0(1(1(2(2(z0))))))))))))))))))))))), 0'(2(0(2(2(2(2(1(2(1(2(2(2(1(1(2(1(0(1(1(2(2(z0)))))))))))))))))))))), 2'(0(2(2(2(2(1(2(1(2(2(2(1(1(2(1(0(1(1(2(2(z0))))))))))))))))))))), 0'(2(2(2(2(1(2(1(2(2(2(1(1(2(1(0(1(1(2(2(z0)))))))))))))))))))), 2'(2(2(2(1(2(1(2(2(2(1(1(2(1(0(1(1(2(2(z0))))))))))))))))))), 2'(2(2(1(2(1(2(2(2(1(1(2(1(0(1(1(2(2(z0)))))))))))))))))), 2'(2(1(2(1(2(2(2(1(1(2(1(0(1(1(2(2(z0))))))))))))))))), 2'(1(2(1(2(2(2(1(1(2(1(0(1(1(2(2(z0)))))))))))))))), 1'(2(1(2(2(2(1(1(2(1(0(1(1(2(2(z0))))))))))))))), 2'(1(2(2(2(1(1(2(1(0(1(1(2(2(z0)))))))))))))), 1'(2(2(2(1(1(2(1(0(1(1(2(2(z0))))))))))))), 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1'(2(1(1(1(2(2(0(1(0(2(2(1(2(2(2(1(0(1(2(z0)))))))))))))))))))), 2'(1(1(1(2(2(0(1(0(2(2(1(2(2(2(1(0(1(2(z0))))))))))))))))))), 1'(1(1(2(2(0(1(0(2(2(1(2(2(2(1(0(1(2(z0)))))))))))))))))), 1'(1(2(2(0(1(0(2(2(1(2(2(2(1(0(1(2(z0))))))))))))))))), 1'(2(2(0(1(0(2(2(1(2(2(2(1(0(1(2(z0)))))))))))))))), 2'(2(0(1(0(2(2(1(2(2(2(1(0(1(2(z0))))))))))))))), 2'(0(1(0(2(2(1(2(2(2(1(0(1(2(z0)))))))))))))), 0'(1(0(2(2(1(2(2(2(1(0(1(2(z0))))))))))))), 1'(0(2(2(1(2(2(2(1(0(1(2(z0)))))))))))), 0'(2(2(1(2(2(2(1(0(1(2(z0))))))))))), 2'(2(1(2(2(2(1(0(1(2(z0)))))))))), 2'(1(2(2(2(1(0(1(2(z0))))))))), 1'(2(2(2(1(0(1(2(z0)))))))), 2'(2(2(1(0(1(2(z0))))))), 2'(2(1(0(1(2(z0)))))), 2'(1(0(1(2(z0))))), 1'(0(1(2(z0)))), 0'(1(2(z0))), 1'(2(z0)), 2'(z0)) 1'(c_0(c_0(c_1(c_0(c_1(c_1(c_0(c_2(c_1(c_1(c_2(c_1(c_2(c_1(c_2(c_0(c_1(c_2(c_2(c_1(c_2(c_1(z0))))))))))))))))))))))) -> c24(1'(2(0(0(1(1(2(2(1(2(0(2(2(0(1(1(2(2(2(1(2(2(2(2(2(1(2(z0))))))))))))))))))))))))))), 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2'(2(1(2(2(2(2(2(1(2(z0)))))))))), 2'(1(2(2(2(2(2(1(2(z0))))))))), 1'(2(2(2(2(2(1(2(z0)))))))), 2'(2(2(2(2(1(2(z0))))))), 2'(2(2(2(1(2(z0)))))), 2'(2(2(1(2(z0))))), 2'(2(1(2(z0)))), 2'(1(2(z0))), 1'(2(z0)), 2'(z0)) 1'(c_2(c_2(c_2(c_1(c_1(c_0(c_0(c_2(c_2(c_2(c_0(c_0(c_0(c_2(c_1(c_2(c_2(c_0(c_2(c_0(c_2(c_0(z0))))))))))))))))))))))) -> c25(1'(2(1(2(0(0(1(1(1(2(2(2(2(1(2(2(2(0(2(0(1(2(2(2(2(0(0(z0))))))))))))))))))))))))))), 2'(1(2(0(0(1(1(1(2(2(2(2(1(2(2(2(0(2(0(1(2(2(2(2(0(0(z0)))))))))))))))))))))))))), 1'(2(0(0(1(1(1(2(2(2(2(1(2(2(2(0(2(0(1(2(2(2(2(0(0(z0))))))))))))))))))))))))), 2'(0(0(1(1(1(2(2(2(2(1(2(2(2(0(2(0(1(2(2(2(2(0(0(z0)))))))))))))))))))))))), 0'(0(1(1(1(2(2(2(2(1(2(2(2(0(2(0(1(2(2(2(2(0(0(z0))))))))))))))))))))))), 0'(1(1(1(2(2(2(2(1(2(2(2(0(2(0(1(2(2(2(2(0(0(z0)))))))))))))))))))))), 1'(1(1(2(2(2(2(1(2(2(2(0(2(0(1(2(2(2(2(0(0(z0))))))))))))))))))))), 1'(1(2(2(2(2(1(2(2(2(0(2(0(1(2(2(2(2(0(0(z0)))))))))))))))))))), 1'(2(2(2(2(1(2(2(2(0(2(0(1(2(2(2(2(0(0(z0))))))))))))))))))), 2'(2(2(2(1(2(2(2(0(2(0(1(2(2(2(2(0(0(z0)))))))))))))))))), 2'(2(2(1(2(2(2(0(2(0(1(2(2(2(2(0(0(z0))))))))))))))))), 2'(2(1(2(2(2(0(2(0(1(2(2(2(2(0(0(z0)))))))))))))))), 2'(1(2(2(2(0(2(0(1(2(2(2(2(0(0(z0))))))))))))))), 1'(2(2(2(0(2(0(1(2(2(2(2(0(0(z0)))))))))))))), 2'(2(2(0(2(0(1(2(2(2(2(0(0(z0))))))))))))), 2'(2(0(2(0(1(2(2(2(2(0(0(z0)))))))))))), 2'(0(2(0(1(2(2(2(2(0(0(z0))))))))))), 0'(2(0(1(2(2(2(2(0(0(z0)))))))))), 2'(0(1(2(2(2(2(0(0(z0))))))))), 0'(1(2(2(2(2(0(0(z0)))))))), 1'(2(2(2(2(0(0(z0))))))), 2'(2(2(2(0(0(z0)))))), 2'(2(2(0(0(z0))))), 2'(2(0(0(z0)))), 2'(0(0(z0))), 0'(0(z0)), 0'(z0)) 1'(c_2(c_0(c_2(c_1(c_2(c_2(c_1(c_2(c_2(c_2(c_0(c_1(c_1(c_1(c_1(c_0(c_1(c_0(c_0(c_2(c_0(c_1(z0))))))))))))))))))))))) -> c26(1'(2(1(2(1(2(2(2(2(2(2(0(0(2(0(0(2(2(0(1(1(1(1(0(0(2(1(z0))))))))))))))))))))))))))), 2'(1(2(1(2(2(2(2(2(2(0(0(2(0(0(2(2(0(1(1(1(1(0(0(2(1(z0)))))))))))))))))))))))))), 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0'(0(0(2(2(1(1(2(2(1(0(2(1(2(1(2(2(1(2(2(2(0(0(z0))))))))))))))))))))))), 0'(0(2(2(1(1(2(2(1(0(2(1(2(1(2(2(1(2(2(2(0(0(z0)))))))))))))))))))))), 0'(2(2(1(1(2(2(1(0(2(1(2(1(2(2(1(2(2(2(0(0(z0))))))))))))))))))))), 2'(2(1(1(2(2(1(0(2(1(2(1(2(2(1(2(2(2(0(0(z0)))))))))))))))))))), 2'(1(1(2(2(1(0(2(1(2(1(2(2(1(2(2(2(0(0(z0))))))))))))))))))), 1'(1(2(2(1(0(2(1(2(1(2(2(1(2(2(2(0(0(z0)))))))))))))))))), 1'(2(2(1(0(2(1(2(1(2(2(1(2(2(2(0(0(z0))))))))))))))))), 2'(2(1(0(2(1(2(1(2(2(1(2(2(2(0(0(z0)))))))))))))))), 2'(1(0(2(1(2(1(2(2(1(2(2(2(0(0(z0))))))))))))))), 1'(0(2(1(2(1(2(2(1(2(2(2(0(0(z0)))))))))))))), 0'(2(1(2(1(2(2(1(2(2(2(0(0(z0))))))))))))), 2'(1(2(1(2(2(1(2(2(2(0(0(z0)))))))))))), 1'(2(1(2(2(1(2(2(2(0(0(z0))))))))))), 2'(1(2(2(1(2(2(2(0(0(z0)))))))))), 1'(2(2(1(2(2(2(0(0(z0))))))))), 2'(2(1(2(2(2(0(0(z0)))))))), 2'(1(2(2(2(0(0(z0))))))), 1'(2(2(2(0(0(z0)))))), 2'(2(2(0(0(z0))))), 2'(2(0(0(z0)))), 2'(0(0(z0))), 0'(0(z0)), 0'(z0)) 2'(c_1(c_2(c_1(c_0(c_2(c_1(c_2(c_0(c_0(c_0(c_0(c_2(c_0(c_0(c_0(c_2(c_2(c_0(c_0(c_0(c_0(c_1(z0))))))))))))))))))))))) -> c48(2'(1(2(1(2(0(0(2(1(0(0(2(2(0(1(0(2(1(2(1(2(2(1(2(1(1(2(z0))))))))))))))))))))))))))), 1'(2(1(2(0(0(2(1(0(0(2(2(0(1(0(2(1(2(1(2(2(1(2(1(1(2(z0)))))))))))))))))))))))))), 2'(1(2(0(0(2(1(0(0(2(2(0(1(0(2(1(2(1(2(2(1(2(1(1(2(z0))))))))))))))))))))))))), 1'(2(0(0(2(1(0(0(2(2(0(1(0(2(1(2(1(2(2(1(2(1(1(2(z0)))))))))))))))))))))))), 2'(0(0(2(1(0(0(2(2(0(1(0(2(1(2(1(2(2(1(2(1(1(2(z0))))))))))))))))))))))), 0'(0(2(1(0(0(2(2(0(1(0(2(1(2(1(2(2(1(2(1(1(2(z0)))))))))))))))))))))), 0'(2(1(0(0(2(2(0(1(0(2(1(2(1(2(2(1(2(1(1(2(z0))))))))))))))))))))), 2'(1(0(0(2(2(0(1(0(2(1(2(1(2(2(1(2(1(1(2(z0)))))))))))))))))))), 1'(0(0(2(2(0(1(0(2(1(2(1(2(2(1(2(1(1(2(z0))))))))))))))))))), 0'(0(2(2(0(1(0(2(1(2(1(2(2(1(2(1(1(2(z0)))))))))))))))))), 0'(2(2(0(1(0(2(1(2(1(2(2(1(2(1(1(2(z0))))))))))))))))), 2'(2(0(1(0(2(1(2(1(2(2(1(2(1(1(2(z0)))))))))))))))), 2'(0(1(0(2(1(2(1(2(2(1(2(1(1(2(z0))))))))))))))), 0'(1(0(2(1(2(1(2(2(1(2(1(1(2(z0)))))))))))))), 1'(0(2(1(2(1(2(2(1(2(1(1(2(z0))))))))))))), 0'(2(1(2(1(2(2(1(2(1(1(2(z0)))))))))))), 2'(1(2(1(2(2(1(2(1(1(2(z0))))))))))), 1'(2(1(2(2(1(2(1(1(2(z0)))))))))), 2'(1(2(2(1(2(1(1(2(z0))))))))), 1'(2(2(1(2(1(1(2(z0)))))))), 2'(2(1(2(1(1(2(z0))))))), 2'(1(2(1(1(2(z0)))))), 1'(2(1(1(2(z0))))), 2'(1(1(2(z0)))), 1'(1(2(z0))), 1'(2(z0)), 2'(z0)) ENCODE_0(z0) -> c6(0'(encArg(z0))) ENCODE_1(z0) -> c6(1'(encArg(z0))) ENCODE_2(z0) -> c6(2'(encArg(z0))) ENCARG(cons_0(cons_0(z0))) -> c(0'(0(encArg(z0))), ENCARG(cons_0(z0))) ENCARG(cons_0(cons_1(z0))) -> c(0'(1(encArg(z0))), ENCARG(cons_1(z0))) ENCARG(cons_0(cons_2(z0))) -> c(0'(2(encArg(z0))), ENCARG(cons_2(z0))) ENCARG(cons_1(cons_0(z0))) -> c1(1'(0(encArg(z0))), ENCARG(cons_0(z0))) ENCARG(cons_1(cons_1(z0))) -> c1(1'(1(encArg(z0))), ENCARG(cons_1(z0))) ENCARG(cons_1(cons_2(z0))) -> c1(1'(2(encArg(z0))), ENCARG(cons_2(z0))) ENCARG(cons_2(cons_0(z0))) -> c2(2'(0(encArg(z0))), ENCARG(cons_0(z0))) ENCARG(cons_2(cons_1(z0))) -> c2(2'(1(encArg(z0))), ENCARG(cons_1(z0))) ENCARG(cons_2(cons_2(z0))) -> c2(2'(2(encArg(z0))), ENCARG(cons_2(z0))) 0'(c_0(c_2(c_0(c_2(c_2(c_1(c_2(c_1(c_1(c_2(c_1(c_1(c_2(c_1(c_0(c_0(c_0(c_0(c_1(c_1(c_2(c_1(x0))))))))))))))))))))))) -> c7(0'(c_0(1(2(2(1(1(2(2(1(1(2(2(2(2(0(1(2(1(2(1(1(1(0(1(2(2(x0))))))))))))))))))))))))))), 0'(1(2(2(1(1(2(2(1(1(2(2(2(2(0(1(2(1(2(1(1(1(0(1(2(2(x0)))))))))))))))))))))))))), 1'(2(2(1(1(2(2(1(1(2(2(2(2(0(1(2(1(2(1(1(1(0(1(2(2(x0))))))))))))))))))))))))), 2'(2(1(1(2(2(1(1(2(2(2(2(0(1(2(1(2(1(1(1(0(1(2(2(x0)))))))))))))))))))))))), 2'(1(1(2(2(1(1(2(2(2(2(0(1(2(1(2(1(1(1(0(1(2(2(x0))))))))))))))))))))))), 1'(1(2(2(1(1(2(2(2(2(0(1(2(1(2(1(1(1(0(1(2(2(x0)))))))))))))))))))))), 1'(2(2(1(1(2(2(2(2(0(1(2(1(2(1(1(1(0(1(2(2(x0))))))))))))))))))))), 2'(2(1(1(2(2(2(2(0(1(2(1(2(1(1(1(0(1(2(2(x0)))))))))))))))))))), 2'(1(1(2(2(2(2(0(1(2(1(2(1(1(1(0(1(2(2(x0))))))))))))))))))), 1'(1(2(2(2(2(0(1(2(1(2(1(1(1(0(1(2(2(x0)))))))))))))))))), 1'(2(2(2(2(0(1(2(1(2(1(1(1(0(1(2(2(x0))))))))))))))))), 2'(2(2(2(0(1(2(1(2(1(1(1(0(1(2(2(x0)))))))))))))))), 2'(2(2(0(1(2(1(2(1(1(1(0(1(2(2(x0))))))))))))))), 2'(2(0(1(2(1(2(1(1(1(0(1(2(2(x0)))))))))))))), 2'(0(1(2(1(2(1(1(1(0(1(2(2(x0))))))))))))), 0'(1(2(1(2(1(1(1(0(1(2(2(x0)))))))))))), 1'(2(1(2(1(1(1(0(1(2(2(x0))))))))))), 2'(1(2(1(1(1(0(1(2(2(x0)))))))))), 1'(2(1(1(1(0(1(2(2(x0))))))))), 2'(1(1(1(0(1(2(2(x0)))))))), 1'(1(1(0(1(2(2(x0))))))), 1'(1(0(1(2(2(x0)))))), 1'(0(1(2(2(x0))))), 0'(1(2(2(x0)))), 1'(2(2(x0))), 2'(2(x0)), 2'(x0)) 0'(c_0(c_2(c_0(c_2(c_2(c_1(c_2(c_1(c_1(c_2(c_1(c_1(c_2(c_1(c_0(c_0(c_0(c_0(c_1(c_1(c_2(c_1(x0))))))))))))))))))))))) -> c7(0'(0(c_1(2(2(1(1(2(2(1(1(2(2(2(2(0(1(2(1(2(1(1(1(0(1(2(2(x0))))))))))))))))))))))))))), 0'(1(2(2(1(1(2(2(1(1(2(2(2(2(0(1(2(1(2(1(1(1(0(1(2(2(x0)))))))))))))))))))))))))), 1'(2(2(1(1(2(2(1(1(2(2(2(2(0(1(2(1(2(1(1(1(0(1(2(2(x0))))))))))))))))))))))))), 2'(2(1(1(2(2(1(1(2(2(2(2(0(1(2(1(2(1(1(1(0(1(2(2(x0)))))))))))))))))))))))), 2'(1(1(2(2(1(1(2(2(2(2(0(1(2(1(2(1(1(1(0(1(2(2(x0))))))))))))))))))))))), 1'(1(2(2(1(1(2(2(2(2(0(1(2(1(2(1(1(1(0(1(2(2(x0)))))))))))))))))))))), 1'(2(2(1(1(2(2(2(2(0(1(2(1(2(1(1(1(0(1(2(2(x0))))))))))))))))))))), 2'(2(1(1(2(2(2(2(0(1(2(1(2(1(1(1(0(1(2(2(x0)))))))))))))))))))), 2'(1(1(2(2(2(2(0(1(2(1(2(1(1(1(0(1(2(2(x0))))))))))))))))))), 1'(1(2(2(2(2(0(1(2(1(2(1(1(1(0(1(2(2(x0)))))))))))))))))), 1'(2(2(2(2(0(1(2(1(2(1(1(1(0(1(2(2(x0))))))))))))))))), 2'(2(2(2(0(1(2(1(2(1(1(1(0(1(2(2(x0)))))))))))))))), 2'(2(2(0(1(2(1(2(1(1(1(0(1(2(2(x0))))))))))))))), 2'(2(0(1(2(1(2(1(1(1(0(1(2(2(x0)))))))))))))), 2'(0(1(2(1(2(1(1(1(0(1(2(2(x0))))))))))))), 0'(1(2(1(2(1(1(1(0(1(2(2(x0)))))))))))), 1'(2(1(2(1(1(1(0(1(2(2(x0))))))))))), 2'(1(2(1(1(1(0(1(2(2(x0)))))))))), 1'(2(1(1(1(0(1(2(2(x0))))))))), 2'(1(1(1(0(1(2(2(x0)))))))), 1'(1(1(0(1(2(2(x0))))))), 1'(1(0(1(2(2(x0)))))), 1'(0(1(2(2(x0))))), 0'(1(2(2(x0)))), 1'(2(2(x0))), 2'(2(x0)), 2'(x0)) 0'(c_0(c_2(c_0(c_2(c_2(c_1(c_2(c_1(c_1(c_2(c_1(c_1(c_2(c_1(c_0(c_0(c_0(c_0(c_1(c_1(c_2(c_1(x0))))))))))))))))))))))) -> c7(0'(0(1(c_2(2(1(1(2(2(1(1(2(2(2(2(0(1(2(1(2(1(1(1(0(1(2(2(x0))))))))))))))))))))))))))), 0'(1(2(2(1(1(2(2(1(1(2(2(2(2(0(1(2(1(2(1(1(1(0(1(2(2(x0)))))))))))))))))))))))))), 1'(2(2(1(1(2(2(1(1(2(2(2(2(0(1(2(1(2(1(1(1(0(1(2(2(x0))))))))))))))))))))))))), 2'(2(1(1(2(2(1(1(2(2(2(2(0(1(2(1(2(1(1(1(0(1(2(2(x0)))))))))))))))))))))))), 2'(1(1(2(2(1(1(2(2(2(2(0(1(2(1(2(1(1(1(0(1(2(2(x0))))))))))))))))))))))), 1'(1(2(2(1(1(2(2(2(2(0(1(2(1(2(1(1(1(0(1(2(2(x0)))))))))))))))))))))), 1'(2(2(1(1(2(2(2(2(0(1(2(1(2(1(1(1(0(1(2(2(x0))))))))))))))))))))), 2'(2(1(1(2(2(2(2(0(1(2(1(2(1(1(1(0(1(2(2(x0)))))))))))))))))))), 2'(1(1(2(2(2(2(0(1(2(1(2(1(1(1(0(1(2(2(x0))))))))))))))))))), 1'(1(2(2(2(2(0(1(2(1(2(1(1(1(0(1(2(2(x0)))))))))))))))))), 1'(2(2(2(2(0(1(2(1(2(1(1(1(0(1(2(2(x0))))))))))))))))), 2'(2(2(2(0(1(2(1(2(1(1(1(0(1(2(2(x0)))))))))))))))), 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c23(1'(2(1(2(1(1(1(1(2(1(1(1(2(2(0(1(0(2(2(1(2(2(2(1(0(1(2(z0))))))))))))))))))))))))))), 2'(1(2(1(1(1(1(2(1(1(1(2(2(0(1(0(2(2(1(2(2(2(1(0(1(2(z0)))))))))))))))))))))))))), 1'(2(1(1(1(1(2(1(1(1(2(2(0(1(0(2(2(1(2(2(2(1(0(1(2(z0))))))))))))))))))))))))), 2'(1(1(1(1(2(1(1(1(2(2(0(1(0(2(2(1(2(2(2(1(0(1(2(z0)))))))))))))))))))))))), 1'(1(1(1(2(1(1(1(2(2(0(1(0(2(2(1(2(2(2(1(0(1(2(z0))))))))))))))))))))))), 1'(1(1(2(1(1(1(2(2(0(1(0(2(2(1(2(2(2(1(0(1(2(z0)))))))))))))))))))))), 1'(1(2(1(1(1(2(2(0(1(0(2(2(1(2(2(2(1(0(1(2(z0))))))))))))))))))))), 1'(2(1(1(1(2(2(0(1(0(2(2(1(2(2(2(1(0(1(2(z0)))))))))))))))))))), 2'(1(1(1(2(2(0(1(0(2(2(1(2(2(2(1(0(1(2(z0))))))))))))))))))), 1'(1(1(2(2(0(1(0(2(2(1(2(2(2(1(0(1(2(z0)))))))))))))))))), 1'(1(2(2(0(1(0(2(2(1(2(2(2(1(0(1(2(z0))))))))))))))))), 1'(2(2(0(1(0(2(2(1(2(2(2(1(0(1(2(z0)))))))))))))))), 2'(2(0(1(0(2(2(1(2(2(2(1(0(1(2(z0))))))))))))))), 2'(0(1(0(2(2(1(2(2(2(1(0(1(2(z0)))))))))))))), 0'(1(0(2(2(1(2(2(2(1(0(1(2(z0))))))))))))), 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2'(2(2(1(0(0(0(2(2(c_1(c_2(c_1(c_0(c_2(c_1(c_2(c_0(c_0(c_0(c_0(c_2(c_0(c_0(c_0(c_2(c_2(c_0(c_0(c_0(c_0(c_1(z0))))))))))))))))))))))))))))))), 2'(2(1(0(0(0(2(2(c_1(c_2(c_1(c_0(c_2(c_1(c_2(c_0(c_0(c_0(c_0(c_2(c_0(c_0(c_0(c_2(c_2(c_0(c_0(c_0(c_0(c_1(z0)))))))))))))))))))))))))))))), 2'(1(0(0(0(2(2(c_1(c_2(c_1(c_0(c_2(c_1(c_2(c_0(c_0(c_0(c_0(c_2(c_0(c_0(c_0(c_2(c_2(c_0(c_0(c_0(c_0(c_1(z0))))))))))))))))))))))))))))), 1'(0(0(0(2(2(c_1(c_2(c_1(c_0(c_2(c_1(c_2(c_0(c_0(c_0(c_0(c_2(c_0(c_0(c_0(c_2(c_2(c_0(c_0(c_0(c_0(c_1(z0)))))))))))))))))))))))))))), 0'(0(0(2(2(c_1(c_2(c_1(c_0(c_2(c_1(c_2(c_0(c_0(c_0(c_0(c_2(c_0(c_0(c_0(c_2(c_2(c_0(c_0(c_0(c_0(c_1(z0))))))))))))))))))))))))))), 0'(0(2(2(c_1(c_2(c_1(c_0(c_2(c_1(c_2(c_0(c_0(c_0(c_0(c_2(c_0(c_0(c_0(c_2(c_2(c_0(c_0(c_0(c_0(c_1(z0)))))))))))))))))))))))))), 0'(2(2(c_1(c_2(c_1(c_0(c_2(c_1(c_2(c_0(c_0(c_0(c_0(c_2(c_0(c_0(c_0(c_2(c_2(c_0(c_0(c_0(c_0(c_1(z0))))))))))))))))))))))))), 2'(2(c_1(c_2(c_1(c_0(c_2(c_1(c_2(c_0(c_0(c_0(c_0(c_2(c_0(c_0(c_0(c_2(c_2(c_0(c_0(c_0(c_0(c_1(z0)))))))))))))))))))))))), 2'(c_1(c_2(c_1(c_0(c_2(c_1(c_2(c_0(c_0(c_0(c_0(c_2(c_0(c_0(c_0(c_2(c_2(c_0(c_0(c_0(c_0(c_1(z0)))))))))))))))))))))))) 0'(c_1(c_1(c_0(c_1(c_1(c_1(c_2(c_2(c_0(c_2(c_0(c_1(c_2(c_2(c_2(c_0(c_1(c_2(c_0(c_1(c_0(c_2(x0))))))))))))))))))))))) -> c9(2'(0(1(0(2(0(2(2(2(1(2(1(1(2(2(2(2(2(2(2(1(0(0(0(2(2(x0)))))))))))))))))))))))))), 0'(1(0(2(0(2(2(2(1(2(1(1(2(2(2(2(2(2(2(1(0(0(0(2(2(x0))))))))))))))))))))))))), 1'(0(2(0(2(2(2(1(2(1(1(2(2(2(2(2(2(2(1(0(0(0(2(2(x0)))))))))))))))))))))))), 0'(2(0(2(2(2(1(2(1(1(2(2(2(2(2(2(2(1(0(0(0(2(2(x0))))))))))))))))))))))), 2'(0(2(2(2(1(2(1(1(2(2(2(2(2(2(2(1(0(0(0(2(2(x0)))))))))))))))))))))), 0'(2(2(2(1(2(1(1(2(2(2(2(2(2(2(1(0(0(0(2(2(x0))))))))))))))))))))), 2'(2(2(1(2(1(1(2(2(2(2(2(2(2(1(0(0(0(2(2(x0)))))))))))))))))))), 2'(2(1(2(1(1(2(2(2(2(2(2(2(1(0(0(0(2(2(x0))))))))))))))))))), 2'(1(2(1(1(2(2(2(2(2(2(2(1(0(0(0(2(2(x0)))))))))))))))))), 1'(2(1(1(2(2(2(2(2(2(2(1(0(0(0(2(2(x0))))))))))))))))), 2'(1(1(2(2(2(2(2(2(2(1(0(0(0(2(2(x0)))))))))))))))), 1'(1(2(2(2(2(2(2(2(1(0(0(0(2(2(x0))))))))))))))), 1'(2(2(2(2(2(2(2(1(0(0(0(2(2(x0)))))))))))))), 2'(2(2(2(2(2(2(1(0(0(0(2(2(x0))))))))))))), 2'(2(2(2(2(2(1(0(0(0(2(2(x0)))))))))))), 2'(2(2(2(2(1(0(0(0(2(2(x0))))))))))), 2'(2(2(2(1(0(0(0(2(2(x0)))))))))), 2'(2(2(1(0(0(0(2(2(x0))))))))), 2'(2(1(0(0(0(2(2(x0)))))))), 2'(1(0(0(0(2(2(x0))))))), 1'(0(0(0(2(2(x0)))))), 0'(0(0(2(2(x0))))), 0'(0(2(2(x0)))), 0'(2(2(x0))), 2'(2(x0)), 2'(x0)) K tuples:none Defined Rule Symbols: encArg_1, 0_1, 1_1, 2_1 Defined Pair Symbols: 0'_1, 1'_1, 2'_1, ENCODE_0_1, ENCODE_1_1, ENCODE_2_1, ENCARG_1 Compound Symbols: c10_27, c11_27, c12_27, c13_27, c14_27, c15_27, c16_27, c18_27, c19_27, c20_27, c21_27, c22_27, c23_27, c24_27, c25_27, c26_27, c27_27, c28_27, c30_27, c31_27, c32_27, c33_27, c34_27, c35_27, c36_27, c37_27, c38_27, c39_27, c40_27, c41_27, c42_27, c43_27, c44_27, c45_27, c46_27, c47_27, c48_27, c6_1, c_2, c1_2, c2_2, c7_27, c8_27, c8_26, c9_27, c9_26 ---------------------------------------- (65) CdtNarrowingProof (BOTH BOUNDS(ID, ID)) Use narrowing to replace 0'(c_1(c_0(c_0(c_1(c_2(c_2(c_1(c_0(c_1(c_2(c_1(c_2(c_0(c_1(c_0(c_2(c_2(c_0(c_1(c_2(c_1(c_0(z0))))))))))))))))))))))) -> c10(0'(0(0(1(2(2(2(2(2(2(2(0(0(0(0(1(2(1(2(2(2(1(0(2(0(2(0(z0))))))))))))))))))))))))))), 0'(0(1(2(2(2(2(2(2(2(0(0(0(0(1(2(1(2(2(2(1(0(2(0(2(0(z0)))))))))))))))))))))))))), 0'(1(2(2(2(2(2(2(2(0(0(0(0(1(2(1(2(2(2(1(0(2(0(2(0(z0))))))))))))))))))))))))), 1'(2(2(2(2(2(2(2(0(0(0(0(1(2(1(2(2(2(1(0(2(0(2(0(z0)))))))))))))))))))))))), 2'(2(2(2(2(2(2(0(0(0(0(1(2(1(2(2(2(1(0(2(0(2(0(z0))))))))))))))))))))))), 2'(2(2(2(2(2(0(0(0(0(1(2(1(2(2(2(1(0(2(0(2(0(z0)))))))))))))))))))))), 2'(2(2(2(2(0(0(0(0(1(2(1(2(2(2(1(0(2(0(2(0(z0))))))))))))))))))))), 2'(2(2(2(0(0(0(0(1(2(1(2(2(2(1(0(2(0(2(0(z0)))))))))))))))))))), 2'(2(2(0(0(0(0(1(2(1(2(2(2(1(0(2(0(2(0(z0))))))))))))))))))), 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2'(2(2(1(0(2(0(2(0(c_0(c_0(c_2(c_2(c_0(c_2(c_2(c_2(c_1(c_1(c_0(c_2(c_2(c_1(c_2(c_1(c_0(c_2(c_0(c_0(c_0(c_1(z0))))))))))))))))))))))))))))))), 2'(2(1(0(2(0(2(0(c_0(c_0(c_2(c_2(c_0(c_2(c_2(c_2(c_1(c_1(c_0(c_2(c_2(c_1(c_2(c_1(c_0(c_2(c_0(c_0(c_0(c_1(z0)))))))))))))))))))))))))))))), 2'(1(0(2(0(2(0(c_0(c_0(c_2(c_2(c_0(c_2(c_2(c_2(c_1(c_1(c_0(c_2(c_2(c_1(c_2(c_1(c_0(c_2(c_0(c_0(c_0(c_1(z0))))))))))))))))))))))))))))), 1'(0(2(0(2(0(c_0(c_0(c_2(c_2(c_0(c_2(c_2(c_2(c_1(c_1(c_0(c_2(c_2(c_1(c_2(c_1(c_0(c_2(c_0(c_0(c_0(c_1(z0)))))))))))))))))))))))))))), 0'(2(0(2(0(c_0(c_0(c_2(c_2(c_0(c_2(c_2(c_2(c_1(c_1(c_0(c_2(c_2(c_1(c_2(c_1(c_0(c_2(c_0(c_0(c_0(c_1(z0))))))))))))))))))))))))))), 2'(0(2(0(c_0(c_0(c_2(c_2(c_0(c_2(c_2(c_2(c_1(c_1(c_0(c_2(c_2(c_1(c_2(c_1(c_0(c_2(c_0(c_0(c_0(c_1(z0)))))))))))))))))))))))))), 0'(2(0(c_0(c_0(c_2(c_2(c_0(c_2(c_2(c_2(c_1(c_1(c_0(c_2(c_2(c_1(c_2(c_1(c_0(c_2(c_0(c_0(c_0(c_1(z0))))))))))))))))))))))))), 2'(0(c_0(c_0(c_2(c_2(c_0(c_2(c_2(c_2(c_1(c_1(c_0(c_2(c_2(c_1(c_2(c_1(c_0(c_2(c_0(c_0(c_0(c_1(z0)))))))))))))))))))))))), 0'(c_0(c_0(c_2(c_2(c_0(c_2(c_2(c_2(c_1(c_1(c_0(c_2(c_2(c_1(c_2(c_1(c_0(c_2(c_0(c_0(c_0(c_1(z0)))))))))))))))))))))))) ---------------------------------------- (66) Obligation: Complexity Dependency Tuples Problem Rules: encArg(cons_0(z0)) -> 0(encArg(z0)) encArg(cons_1(z0)) -> 1(encArg(z0)) encArg(cons_2(z0)) -> 2(encArg(z0)) 0(z0) -> c_0(z0) 0(c_0(c_2(c_0(c_2(c_2(c_1(c_2(c_1(c_1(c_2(c_1(c_1(c_2(c_1(c_0(c_0(c_0(c_0(c_1(c_1(c_2(c_1(z0))))))))))))))))))))))) -> 0(0(1(2(2(1(1(2(2(1(1(2(2(2(2(0(1(2(1(2(1(1(1(0(1(2(2(z0))))))))))))))))))))))))))) 0(c_1(c_1(c_1(c_2(c_2(c_1(c_0(c_0(c_2(c_2(c_2(c_2(c_0(c_2(c_0(c_0(c_0(c_0(c_1(c_0(c_0(c_2(z0))))))))))))))))))))))) -> 0(2(1(1(1(1(2(2(1(1(0(1(1(2(1(2(1(0(0(1(2(2(1(0(0(2(2(z0))))))))))))))))))))))))))) 0(c_1(c_1(c_0(c_1(c_1(c_1(c_2(c_2(c_0(c_2(c_0(c_1(c_2(c_2(c_2(c_0(c_1(c_2(c_0(c_1(c_0(c_2(z0))))))))))))))))))))))) -> 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2(2(1(2(1(2(2(1(0(1(2(2(2(1(0(2(1(1(2(1(0(1(1(1(2(2(2(z0))))))))))))))))))))))))))) 1(c_1(c_0(c_1(c_2(c_2(c_2(c_2(c_1(c_0(c_2(c_1(c_2(c_0(c_0(c_0(c_1(c_0(c_2(c_1(c_1(c_1(c_2(z0))))))))))))))))))))))) -> 2(1(2(1(2(2(2(2(2(0(0(0(0(2(1(2(2(2(2(1(2(2(2(0(0(2(2(z0))))))))))))))))))))))))))) 1(c_1(c_2(c_2(c_1(c_0(c_2(c_0(c_1(c_1(c_2(c_2(c_2(c_1(c_0(c_1(c_0(c_0(c_2(c_1(c_1(c_0(c_2(z0))))))))))))))))))))))) -> 2(2(2(1(1(2(2(2(1(2(2(0(0(2(0(0(1(2(0(2(2(1(2(2(2(0(2(z0))))))))))))))))))))))))))) 1(c_0(c_1(c_0(c_2(c_2(c_2(c_2(c_1(c_0(c_0(c_2(c_0(c_2(c_1(c_2(c_1(c_2(c_1(c_1(c_2(c_0(c_2(z0))))))))))))))))))))))) -> 2(1(2(0(2(0(2(0(2(2(2(2(1(2(1(2(2(2(1(1(2(1(0(1(1(2(2(z0))))))))))))))))))))))))))) 1(c_1(c_1(c_0(c_2(c_2(c_1(c_1(c_1(c_2(c_2(c_0(c_2(c_0(c_2(c_1(c_1(c_2(c_1(c_2(c_1(c_2(c_2(z0))))))))))))))))))))))) -> 1(2(1(2(1(1(1(1(2(1(1(1(2(2(0(1(0(2(2(1(2(2(2(1(0(1(2(z0))))))))))))))))))))))))))) 1(c_0(c_0(c_1(c_0(c_1(c_1(c_0(c_2(c_1(c_1(c_2(c_1(c_2(c_1(c_2(c_0(c_1(c_2(c_2(c_1(c_2(c_1(z0))))))))))))))))))))))) -> 1(2(0(0(1(1(2(2(1(2(0(2(2(0(1(1(2(2(2(1(2(2(2(2(2(1(2(z0))))))))))))))))))))))))))) 1(c_2(c_2(c_2(c_1(c_1(c_0(c_0(c_2(c_2(c_2(c_0(c_0(c_0(c_2(c_1(c_2(c_2(c_0(c_2(c_0(c_2(c_0(z0))))))))))))))))))))))) -> 1(2(1(2(0(0(1(1(1(2(2(2(2(1(2(2(2(0(2(0(1(2(2(2(2(0(0(z0))))))))))))))))))))))))))) 1(c_2(c_0(c_2(c_1(c_2(c_2(c_1(c_2(c_2(c_2(c_0(c_1(c_1(c_1(c_1(c_0(c_1(c_0(c_0(c_2(c_0(c_1(z0))))))))))))))))))))))) -> 1(2(1(2(1(2(2(2(2(2(2(0(0(2(0(0(2(2(0(1(1(1(1(0(0(2(1(z0))))))))))))))))))))))))))) 1(c_1(c_0(c_2(c_1(c_0(c_2(c_0(c_1(c_2(c_0(c_2(c_0(c_0(c_2(c_1(c_0(c_1(c_0(c_1(c_2(c_1(c_2(z0))))))))))))))))))))))) -> 2(0(2(2(1(1(1(2(2(0(1(2(0(2(1(1(2(1(0(0(2(0(1(2(2(2(2(z0))))))))))))))))))))))))))) 1(c_1(c_0(c_0(c_1(c_1(c_1(c_2(c_2(c_2(c_1(c_2(c_1(c_0(c_0(c_0(c_2(c_2(c_2(c_0(c_1(c_2(c_0(z0))))))))))))))))))))))) -> 2(1(2(1(2(2(2(1(2(2(0(2(2(1(0(2(1(2(2(0(1(0(1(1(2(2(2(z0))))))))))))))))))))))))))) 2(z0) -> c_2(z0) 2(c_2(c_1(c_1(c_1(c_0(c_0(c_2(c_1(c_0(c_2(c_1(c_2(c_0(c_0(c_2(c_1(c_0(c_1(c_1(c_2(c_2(c_1(z0))))))))))))))))))))))) -> 2(1(2(2(0(1(2(1(1(0(1(2(1(0(0(1(2(2(1(2(1(0(2(1(2(2(1(z0))))))))))))))))))))))))))) 2(c_2(c_1(c_1(c_2(c_0(c_0(c_2(c_2(c_2(c_2(c_1(c_1(c_1(c_1(c_1(c_2(c_1(c_2(c_0(c_0(c_1(c_1(z0))))))))))))))))))))))) -> 2(2(1(1(2(2(1(2(1(2(2(0(0(0(2(1(0(2(2(1(2(2(0(1(1(2(2(z0))))))))))))))))))))))))))) 2(c_1(c_0(c_1(c_0(c_0(c_2(c_2(c_2(c_0(c_1(c_0(c_0(c_2(c_0(c_0(c_1(c_2(c_0(c_2(c_2(c_2(c_0(z0))))))))))))))))))))))) -> 2(1(1(2(0(1(2(0(0(2(0(1(2(2(1(1(1(2(2(2(0(0(1(1(0(2(0(z0))))))))))))))))))))))))))) 2(c_0(c_2(c_0(c_1(c_0(c_1(c_1(c_2(c_0(c_1(c_1(c_2(c_2(c_1(c_0(c_2(c_0(c_2(c_0(c_2(c_2(c_2(z0))))))))))))))))))))))) -> 2(0(0(1(1(2(0(2(2(1(1(2(2(0(1(2(2(2(0(0(2(0(2(2(2(0(2(z0))))))))))))))))))))))))))) 2(c_2(c_0(c_1(c_2(c_2(c_2(c_0(c_2(c_2(c_2(c_0(c_2(c_2(c_2(c_2(c_1(c_0(c_1(c_0(c_0(c_1(c_0(z0))))))))))))))))))))))) -> 2(2(0(1(1(2(2(2(1(1(2(1(0(0(1(2(2(1(2(1(0(2(2(0(0(2(0(z0))))))))))))))))))))))))))) 2(c_2(c_1(c_1(c_1(c_2(c_0(c_1(c_1(c_2(c_2(c_0(c_1(c_1(c_1(c_1(c_1(c_2(c_2(c_2(c_0(c_2(c_1(z0))))))))))))))))))))))) -> 1(2(1(2(2(1(1(1(1(2(2(2(1(2(0(0(0(1(2(0(0(1(2(2(2(2(2(z0))))))))))))))))))))))))))) 2(c_1(c_1(c_0(c_2(c_2(c_2(c_0(c_1(c_2(c_1(c_1(c_0(c_1(c_2(c_0(c_0(c_1(c_1(c_1(c_1(c_2(c_2(z0))))))))))))))))))))))) -> 2(0(0(2(1(0(0(0(0(0(1(2(1(1(2(1(1(2(1(2(2(0(1(1(1(2(2(z0))))))))))))))))))))))))))) 2(c_2(c_1(c_2(c_1(c_2(c_2(c_2(c_0(c_1(c_2(c_1(c_2(c_2(c_2(c_2(c_1(c_1(c_0(c_1(c_0(c_1(c_0(z0))))))))))))))))))))))) -> 1(2(1(2(1(2(0(1(2(2(0(1(1(1(2(2(1(1(1(2(2(0(1(0(1(2(2(z0))))))))))))))))))))))))))) 2(c_0(c_2(c_0(c_1(c_2(c_2(c_0(c_0(c_2(c_2(c_2(c_1(c_1(c_1(c_2(c_1(c_0(c_2(c_0(c_2(c_2(c_0(z0))))))))))))))))))))))) -> 2(1(1(1(2(2(0(0(0(2(1(0(0(0(1(1(0(2(2(0(2(2(2(2(2(2(0(z0))))))))))))))))))))))))))) 2(c_2(c_0(c_0(c_2(c_1(c_2(c_0(c_1(c_2(c_0(c_2(c_1(c_0(c_1(c_1(c_2(c_2(c_1(c_0(c_1(c_0(c_2(z0))))))))))))))))))))))) -> 2(2(2(2(1(2(1(2(0(2(2(2(2(2(0(1(2(0(2(1(0(0(0(2(0(2(2(z0))))))))))))))))))))))))))) 2(c_2(c_2(c_0(c_0(c_1(c_0(c_0(c_2(c_0(c_0(c_2(c_1(c_1(c_2(c_1(c_0(c_1(c_2(c_2(c_2(c_1(c_0(z0))))))))))))))))))))))) -> 1(2(2(2(2(0(1(2(1(2(0(1(2(1(2(1(0(1(0(1(0(1(1(2(2(1(0(z0))))))))))))))))))))))))))) 2(c_1(c_0(c_1(c_1(c_2(c_0(c_0(c_2(c_1(c_0(c_0(c_0(c_1(c_2(c_1(c_1(c_2(c_0(c_2(c_1(c_2(c_1(z0))))))))))))))))))))))) -> 2(0(2(2(0(0(2(2(1(1(1(2(0(1(0(1(2(2(2(2(2(0(0(0(2(2(1(z0))))))))))))))))))))))))))) 2(c_2(c_1(c_2(c_2(c_0(c_0(c_2(c_1(c_1(c_0(c_2(c_2(c_0(c_2(c_2(c_0(c_2(c_2(c_1(c_2(c_0(c_2(z0))))))))))))))))))))))) -> 1(2(1(1(1(2(2(2(1(2(1(0(2(1(1(1(1(2(2(0(0(1(1(0(2(1(2(z0))))))))))))))))))))))))))) 2(c_2(c_0(c_0(c_1(c_2(c_1(c_1(c_2(c_1(c_0(c_0(c_0(c_0(c_0(c_2(c_1(c_2(c_1(c_1(c_2(c_0(c_2(z0))))))))))))))))))))))) -> 2(1(1(2(2(2(2(1(2(1(0(0(2(1(0(2(2(0(1(1(0(2(0(0(0(0(2(z0))))))))))))))))))))))))))) 2(c_0(c_1(c_0(c_0(c_0(c_1(c_0(c_0(c_0(c_0(c_0(c_0(c_0(c_1(c_0(c_2(c_0(c_0(c_2(c_2(c_2(c_2(z0))))))))))))))))))))))) -> 2(2(2(1(1(2(1(2(0(1(1(2(1(0(2(1(0(0(1(0(1(1(2(1(2(2(2(z0))))))))))))))))))))))))))) 2(c_2(c_0(c_0(c_1(c_0(c_1(c_2(c_2(c_2(c_1(c_1(c_0(c_0(c_1(c_2(c_2(c_1(c_2(c_0(c_1(c_2(c_1(z0))))))))))))))))))))))) -> 2(2(2(2(0(2(0(2(2(1(2(1(0(1(1(2(2(0(0(2(1(2(1(2(1(2(0(z0))))))))))))))))))))))))))) 2(c_2(c_1(c_1(c_2(c_2(c_1(c_2(c_1(c_1(c_1(c_0(c_0(c_2(c_1(c_1(c_0(c_2(c_0(c_0(c_1(c_1(c_2(z0))))))))))))))))))))))) -> 2(1(1(1(2(2(2(1(1(0(2(2(1(0(1(0(2(2(1(2(0(0(0(1(2(1(2(z0))))))))))))))))))))))))))) 2(c_2(c_0(c_1(c_1(c_0(c_0(c_1(c_2(c_1(c_0(c_2(c_1(c_2(c_2(c_2(c_1(c_0(c_0(c_2(c_2(c_2(c_0(z0))))))))))))))))))))))) -> 2(2(1(0(0(0(0(2(2(1(1(2(2(1(0(2(1(2(1(2(2(1(2(2(2(0(0(z0))))))))))))))))))))))))))) 2(c_1(c_2(c_1(c_0(c_2(c_1(c_2(c_0(c_0(c_0(c_0(c_2(c_0(c_0(c_0(c_2(c_2(c_0(c_0(c_0(c_0(c_1(z0))))))))))))))))))))))) -> 2(1(2(1(2(0(0(2(1(0(0(2(2(0(1(0(2(1(2(1(2(2(1(2(1(1(2(z0))))))))))))))))))))))))))) Tuples: 0'(c_0(c_1(c_2(c_0(c_1(c_0(c_0(c_2(c_0(c_1(c_1(c_0(c_1(c_2(c_1(c_1(c_2(c_2(c_1(c_1(c_0(c_2(z0))))))))))))))))))))))) -> c11(0'(2(2(2(0(1(1(2(1(2(2(1(2(1(0(2(2(2(1(2(1(1(0(0(1(0(2(z0))))))))))))))))))))))))))), 2'(2(2(0(1(1(2(1(2(2(1(2(1(0(2(2(2(1(2(1(1(0(0(1(0(2(z0)))))))))))))))))))))))))), 2'(2(0(1(1(2(1(2(2(1(2(1(0(2(2(2(1(2(1(1(0(0(1(0(2(z0))))))))))))))))))))))))), 2'(0(1(1(2(1(2(2(1(2(1(0(2(2(2(1(2(1(1(0(0(1(0(2(z0)))))))))))))))))))))))), 0'(1(1(2(1(2(2(1(2(1(0(2(2(2(1(2(1(1(0(0(1(0(2(z0))))))))))))))))))))))), 1'(1(2(1(2(2(1(2(1(0(2(2(2(1(2(1(1(0(0(1(0(2(z0)))))))))))))))))))))), 1'(2(1(2(2(1(2(1(0(2(2(2(1(2(1(1(0(0(1(0(2(z0))))))))))))))))))))), 2'(1(2(2(1(2(1(0(2(2(2(1(2(1(1(0(0(1(0(2(z0)))))))))))))))))))), 1'(2(2(1(2(1(0(2(2(2(1(2(1(1(0(0(1(0(2(z0))))))))))))))))))), 2'(2(1(2(1(0(2(2(2(1(2(1(1(0(0(1(0(2(z0)))))))))))))))))), 2'(1(2(1(0(2(2(2(1(2(1(1(0(0(1(0(2(z0))))))))))))))))), 1'(2(1(0(2(2(2(1(2(1(1(0(0(1(0(2(z0)))))))))))))))), 2'(1(0(2(2(2(1(2(1(1(0(0(1(0(2(z0))))))))))))))), 1'(0(2(2(2(1(2(1(1(0(0(1(0(2(z0)))))))))))))), 0'(2(2(2(1(2(1(1(0(0(1(0(2(z0))))))))))))), 2'(2(2(1(2(1(1(0(0(1(0(2(z0)))))))))))), 2'(2(1(2(1(1(0(0(1(0(2(z0))))))))))), 2'(1(2(1(1(0(0(1(0(2(z0)))))))))), 1'(2(1(1(0(0(1(0(2(z0))))))))), 2'(1(1(0(0(1(0(2(z0)))))))), 1'(1(0(0(1(0(2(z0))))))), 1'(0(0(1(0(2(z0)))))), 0'(0(1(0(2(z0))))), 0'(1(0(2(z0)))), 1'(0(2(z0))), 0'(2(z0)), 2'(z0)) 0'(c_1(c_1(c_1(c_1(c_2(c_1(c_1(c_2(c_2(c_0(c_1(c_0(c_1(c_1(c_0(c_2(c_0(c_0(c_2(c_0(c_1(c_0(z0))))))))))))))))))))))) -> c12(2'(2(2(2(2(1(0(1(2(2(0(1(1(1(2(2(1(1(0(0(0(0(2(2(1(2(2(z0))))))))))))))))))))))))))), 2'(2(2(2(1(0(1(2(2(0(1(1(1(2(2(1(1(0(0(0(0(2(2(1(2(2(z0)))))))))))))))))))))))))), 2'(2(2(1(0(1(2(2(0(1(1(1(2(2(1(1(0(0(0(0(2(2(1(2(2(z0))))))))))))))))))))))))), 2'(2(1(0(1(2(2(0(1(1(1(2(2(1(1(0(0(0(0(2(2(1(2(2(z0)))))))))))))))))))))))), 2'(1(0(1(2(2(0(1(1(1(2(2(1(1(0(0(0(0(2(2(1(2(2(z0))))))))))))))))))))))), 1'(0(1(2(2(0(1(1(1(2(2(1(1(0(0(0(0(2(2(1(2(2(z0)))))))))))))))))))))), 0'(1(2(2(0(1(1(1(2(2(1(1(0(0(0(0(2(2(1(2(2(z0))))))))))))))))))))), 1'(2(2(0(1(1(1(2(2(1(1(0(0(0(0(2(2(1(2(2(z0)))))))))))))))))))), 2'(2(0(1(1(1(2(2(1(1(0(0(0(0(2(2(1(2(2(z0))))))))))))))))))), 2'(0(1(1(1(2(2(1(1(0(0(0(0(2(2(1(2(2(z0)))))))))))))))))), 0'(1(1(1(2(2(1(1(0(0(0(0(2(2(1(2(2(z0))))))))))))))))), 1'(1(1(2(2(1(1(0(0(0(0(2(2(1(2(2(z0)))))))))))))))), 1'(1(2(2(1(1(0(0(0(0(2(2(1(2(2(z0))))))))))))))), 1'(2(2(1(1(0(0(0(0(2(2(1(2(2(z0)))))))))))))), 2'(2(1(1(0(0(0(0(2(2(1(2(2(z0))))))))))))), 2'(1(1(0(0(0(0(2(2(1(2(2(z0)))))))))))), 1'(1(0(0(0(0(2(2(1(2(2(z0))))))))))), 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2'(1(2(2(0(0(2(0(0(1(2(0(2(2(1(2(2(2(0(2(z0)))))))))))))))))))), 1'(2(2(0(0(2(0(0(1(2(0(2(2(1(2(2(2(0(2(z0))))))))))))))))))), 2'(2(0(0(2(0(0(1(2(0(2(2(1(2(2(2(0(2(z0)))))))))))))))))), 2'(0(0(2(0(0(1(2(0(2(2(1(2(2(2(0(2(z0))))))))))))))))), 0'(0(2(0(0(1(2(0(2(2(1(2(2(2(0(2(z0)))))))))))))))), 0'(2(0(0(1(2(0(2(2(1(2(2(2(0(2(z0))))))))))))))), 2'(0(0(1(2(0(2(2(1(2(2(2(0(2(z0)))))))))))))), 0'(0(1(2(0(2(2(1(2(2(2(0(2(z0))))))))))))), 0'(1(2(0(2(2(1(2(2(2(0(2(z0)))))))))))), 1'(2(0(2(2(1(2(2(2(0(2(z0))))))))))), 2'(0(2(2(1(2(2(2(0(2(z0)))))))))), 0'(2(2(1(2(2(2(0(2(z0))))))))), 2'(2(1(2(2(2(0(2(z0)))))))), 2'(1(2(2(2(0(2(z0))))))), 1'(2(2(2(0(2(z0)))))), 2'(2(2(0(2(z0))))), 2'(2(0(2(z0)))), 2'(0(2(z0))), 0'(2(z0)), 2'(z0)) 1'(c_0(c_1(c_0(c_2(c_2(c_2(c_2(c_1(c_0(c_0(c_2(c_0(c_2(c_1(c_2(c_1(c_2(c_1(c_1(c_2(c_0(c_2(z0))))))))))))))))))))))) -> c22(2'(1(2(0(2(0(2(0(2(2(2(2(1(2(1(2(2(2(1(1(2(1(0(1(1(2(2(z0))))))))))))))))))))))))))), 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2'(1(1(2(1(0(1(1(2(2(z0)))))))))), 1'(1(2(1(0(1(1(2(2(z0))))))))), 1'(2(1(0(1(1(2(2(z0)))))))), 2'(1(0(1(1(2(2(z0))))))), 1'(0(1(1(2(2(z0)))))), 0'(1(1(2(2(z0))))), 1'(1(2(2(z0)))), 1'(2(2(z0))), 2'(2(z0)), 2'(z0)) 1'(c_1(c_1(c_0(c_2(c_2(c_1(c_1(c_1(c_2(c_2(c_0(c_2(c_0(c_2(c_1(c_1(c_2(c_1(c_2(c_1(c_2(c_2(z0))))))))))))))))))))))) -> c23(1'(2(1(2(1(1(1(1(2(1(1(1(2(2(0(1(0(2(2(1(2(2(2(1(0(1(2(z0))))))))))))))))))))))))))), 2'(1(2(1(1(1(1(2(1(1(1(2(2(0(1(0(2(2(1(2(2(2(1(0(1(2(z0)))))))))))))))))))))))))), 1'(2(1(1(1(1(2(1(1(1(2(2(0(1(0(2(2(1(2(2(2(1(0(1(2(z0))))))))))))))))))))))))), 2'(1(1(1(1(2(1(1(1(2(2(0(1(0(2(2(1(2(2(2(1(0(1(2(z0)))))))))))))))))))))))), 1'(1(1(1(2(1(1(1(2(2(0(1(0(2(2(1(2(2(2(1(0(1(2(z0))))))))))))))))))))))), 1'(1(1(2(1(1(1(2(2(0(1(0(2(2(1(2(2(2(1(0(1(2(z0)))))))))))))))))))))), 1'(1(2(1(1(1(2(2(0(1(0(2(2(1(2(2(2(1(0(1(2(z0))))))))))))))))))))), 1'(2(1(1(1(2(2(0(1(0(2(2(1(2(2(2(1(0(1(2(z0)))))))))))))))))))), 2'(1(1(1(2(2(0(1(0(2(2(1(2(2(2(1(0(1(2(z0))))))))))))))))))), 1'(1(1(2(2(0(1(0(2(2(1(2(2(2(1(0(1(2(z0)))))))))))))))))), 1'(1(2(2(0(1(0(2(2(1(2(2(2(1(0(1(2(z0))))))))))))))))), 1'(2(2(0(1(0(2(2(1(2(2(2(1(0(1(2(z0)))))))))))))))), 2'(2(0(1(0(2(2(1(2(2(2(1(0(1(2(z0))))))))))))))), 2'(0(1(0(2(2(1(2(2(2(1(0(1(2(z0)))))))))))))), 0'(1(0(2(2(1(2(2(2(1(0(1(2(z0))))))))))))), 1'(0(2(2(1(2(2(2(1(0(1(2(z0)))))))))))), 0'(2(2(1(2(2(2(1(0(1(2(z0))))))))))), 2'(2(1(2(2(2(1(0(1(2(z0)))))))))), 2'(1(2(2(2(1(0(1(2(z0))))))))), 1'(2(2(2(1(0(1(2(z0)))))))), 2'(2(2(1(0(1(2(z0))))))), 2'(2(1(0(1(2(z0)))))), 2'(1(0(1(2(z0))))), 1'(0(1(2(z0)))), 0'(1(2(z0))), 1'(2(z0)), 2'(z0)) 1'(c_0(c_0(c_1(c_0(c_1(c_1(c_0(c_2(c_1(c_1(c_2(c_1(c_2(c_1(c_2(c_0(c_1(c_2(c_2(c_1(c_2(c_1(z0))))))))))))))))))))))) -> c24(1'(2(0(0(1(1(2(2(1(2(0(2(2(0(1(1(2(2(2(1(2(2(2(2(2(1(2(z0))))))))))))))))))))))))))), 2'(0(0(1(1(2(2(1(2(0(2(2(0(1(1(2(2(2(1(2(2(2(2(2(1(2(z0)))))))))))))))))))))))))), 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1'(2(1(0(2(1(0(0(1(0(1(1(2(1(2(2(2(z0))))))))))))))))), 2'(1(0(2(1(0(0(1(0(1(1(2(1(2(2(2(z0)))))))))))))))), 1'(0(2(1(0(0(1(0(1(1(2(1(2(2(2(z0))))))))))))))), 0'(2(1(0(0(1(0(1(1(2(1(2(2(2(z0)))))))))))))), 2'(1(0(0(1(0(1(1(2(1(2(2(2(z0))))))))))))), 1'(0(0(1(0(1(1(2(1(2(2(2(z0)))))))))))), 0'(0(1(0(1(1(2(1(2(2(2(z0))))))))))), 0'(1(0(1(1(2(1(2(2(2(z0)))))))))), 1'(0(1(1(2(1(2(2(2(z0))))))))), 0'(1(1(2(1(2(2(2(z0)))))))), 1'(1(2(1(2(2(2(z0))))))), 1'(2(1(2(2(2(z0)))))), 2'(1(2(2(2(z0))))), 1'(2(2(2(z0)))), 2'(2(2(z0))), 2'(2(z0)), 2'(z0)) 2'(c_2(c_0(c_0(c_1(c_0(c_1(c_2(c_2(c_2(c_1(c_1(c_0(c_0(c_1(c_2(c_2(c_1(c_2(c_0(c_1(c_2(c_1(z0))))))))))))))))))))))) -> c45(2'(2(2(2(0(2(0(2(2(1(2(1(0(1(1(2(2(0(0(2(1(2(1(2(1(2(0(z0))))))))))))))))))))))))))), 2'(2(2(0(2(0(2(2(1(2(1(0(1(1(2(2(0(0(2(1(2(1(2(1(2(0(z0)))))))))))))))))))))))))), 2'(2(0(2(0(2(2(1(2(1(0(1(1(2(2(0(0(2(1(2(1(2(1(2(0(z0))))))))))))))))))))))))), 2'(0(2(0(2(2(1(2(1(0(1(1(2(2(0(0(2(1(2(1(2(1(2(0(z0)))))))))))))))))))))))), 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2'(c_2(c_1(c_1(c_2(c_2(c_1(c_2(c_1(c_1(c_1(c_0(c_0(c_2(c_1(c_1(c_0(c_2(c_0(c_0(c_1(c_1(c_2(z0))))))))))))))))))))))) -> c46(2'(1(1(1(2(2(2(1(1(0(2(2(1(0(1(0(2(2(1(2(0(0(0(1(2(1(2(z0))))))))))))))))))))))))))), 1'(1(1(2(2(2(1(1(0(2(2(1(0(1(0(2(2(1(2(0(0(0(1(2(1(2(z0)))))))))))))))))))))))))), 1'(1(2(2(2(1(1(0(2(2(1(0(1(0(2(2(1(2(0(0(0(1(2(1(2(z0))))))))))))))))))))))))), 1'(2(2(2(1(1(0(2(2(1(0(1(0(2(2(1(2(0(0(0(1(2(1(2(z0)))))))))))))))))))))))), 2'(2(2(1(1(0(2(2(1(0(1(0(2(2(1(2(0(0(0(1(2(1(2(z0))))))))))))))))))))))), 2'(2(1(1(0(2(2(1(0(1(0(2(2(1(2(0(0(0(1(2(1(2(z0)))))))))))))))))))))), 2'(1(1(0(2(2(1(0(1(0(2(2(1(2(0(0(0(1(2(1(2(z0))))))))))))))))))))), 1'(1(0(2(2(1(0(1(0(2(2(1(2(0(0(0(1(2(1(2(z0)))))))))))))))))))), 1'(0(2(2(1(0(1(0(2(2(1(2(0(0(0(1(2(1(2(z0))))))))))))))))))), 0'(2(2(1(0(1(0(2(2(1(2(0(0(0(1(2(1(2(z0)))))))))))))))))), 2'(2(1(0(1(0(2(2(1(2(0(0(0(1(2(1(2(z0))))))))))))))))), 2'(1(0(1(0(2(2(1(2(0(0(0(1(2(1(2(z0)))))))))))))))), 1'(0(1(0(2(2(1(2(0(0(0(1(2(1(2(z0))))))))))))))), 0'(1(0(2(2(1(2(0(0(0(1(2(1(2(z0)))))))))))))), 1'(0(2(2(1(2(0(0(0(1(2(1(2(z0))))))))))))), 0'(2(2(1(2(0(0(0(1(2(1(2(z0)))))))))))), 2'(2(1(2(0(0(0(1(2(1(2(z0))))))))))), 2'(1(2(0(0(0(1(2(1(2(z0)))))))))), 1'(2(0(0(0(1(2(1(2(z0))))))))), 2'(0(0(0(1(2(1(2(z0)))))))), 0'(0(0(1(2(1(2(z0))))))), 0'(0(1(2(1(2(z0)))))), 0'(1(2(1(2(z0))))), 1'(2(1(2(z0)))), 2'(1(2(z0))), 1'(2(z0)), 2'(z0)) 2'(c_2(c_0(c_1(c_1(c_0(c_0(c_1(c_2(c_1(c_0(c_2(c_1(c_2(c_2(c_2(c_1(c_0(c_0(c_2(c_2(c_2(c_0(z0))))))))))))))))))))))) -> c47(2'(2(1(0(0(0(0(2(2(1(1(2(2(1(0(2(1(2(1(2(2(1(2(2(2(0(0(z0))))))))))))))))))))))))))), 2'(1(0(0(0(0(2(2(1(1(2(2(1(0(2(1(2(1(2(2(1(2(2(2(0(0(z0)))))))))))))))))))))))))), 1'(0(0(0(0(2(2(1(1(2(2(1(0(2(1(2(1(2(2(1(2(2(2(0(0(z0))))))))))))))))))))))))), 0'(0(0(0(2(2(1(1(2(2(1(0(2(1(2(1(2(2(1(2(2(2(0(0(z0)))))))))))))))))))))))), 0'(0(0(2(2(1(1(2(2(1(0(2(1(2(1(2(2(1(2(2(2(0(0(z0))))))))))))))))))))))), 0'(0(2(2(1(1(2(2(1(0(2(1(2(1(2(2(1(2(2(2(0(0(z0)))))))))))))))))))))), 0'(2(2(1(1(2(2(1(0(2(1(2(1(2(2(1(2(2(2(0(0(z0))))))))))))))))))))), 2'(2(1(1(2(2(1(0(2(1(2(1(2(2(1(2(2(2(0(0(z0)))))))))))))))))))), 2'(1(1(2(2(1(0(2(1(2(1(2(2(1(2(2(2(0(0(z0))))))))))))))))))), 1'(1(2(2(1(0(2(1(2(1(2(2(1(2(2(2(0(0(z0)))))))))))))))))), 1'(2(2(1(0(2(1(2(1(2(2(1(2(2(2(0(0(z0))))))))))))))))), 2'(2(1(0(2(1(2(1(2(2(1(2(2(2(0(0(z0)))))))))))))))), 2'(1(0(2(1(2(1(2(2(1(2(2(2(0(0(z0))))))))))))))), 1'(0(2(1(2(1(2(2(1(2(2(2(0(0(z0)))))))))))))), 0'(2(1(2(1(2(2(1(2(2(2(0(0(z0))))))))))))), 2'(1(2(1(2(2(1(2(2(2(0(0(z0)))))))))))), 1'(2(1(2(2(1(2(2(2(0(0(z0))))))))))), 2'(1(2(2(1(2(2(2(0(0(z0)))))))))), 1'(2(2(1(2(2(2(0(0(z0))))))))), 2'(2(1(2(2(2(0(0(z0)))))))), 2'(1(2(2(2(0(0(z0))))))), 1'(2(2(2(0(0(z0)))))), 2'(2(2(0(0(z0))))), 2'(2(0(0(z0)))), 2'(0(0(z0))), 0'(0(z0)), 0'(z0)) 2'(c_1(c_2(c_1(c_0(c_2(c_1(c_2(c_0(c_0(c_0(c_0(c_2(c_0(c_0(c_0(c_2(c_2(c_0(c_0(c_0(c_0(c_1(z0))))))))))))))))))))))) -> c48(2'(1(2(1(2(0(0(2(1(0(0(2(2(0(1(0(2(1(2(1(2(2(1(2(1(1(2(z0))))))))))))))))))))))))))), 1'(2(1(2(0(0(2(1(0(0(2(2(0(1(0(2(1(2(1(2(2(1(2(1(1(2(z0)))))))))))))))))))))))))), 2'(1(2(0(0(2(1(0(0(2(2(0(1(0(2(1(2(1(2(2(1(2(1(1(2(z0))))))))))))))))))))))))), 1'(2(0(0(2(1(0(0(2(2(0(1(0(2(1(2(1(2(2(1(2(1(1(2(z0)))))))))))))))))))))))), 2'(0(0(2(1(0(0(2(2(0(1(0(2(1(2(1(2(2(1(2(1(1(2(z0))))))))))))))))))))))), 0'(0(2(1(0(0(2(2(0(1(0(2(1(2(1(2(2(1(2(1(1(2(z0)))))))))))))))))))))), 0'(2(1(0(0(2(2(0(1(0(2(1(2(1(2(2(1(2(1(1(2(z0))))))))))))))))))))), 2'(1(0(0(2(2(0(1(0(2(1(2(1(2(2(1(2(1(1(2(z0)))))))))))))))))))), 1'(0(0(2(2(0(1(0(2(1(2(1(2(2(1(2(1(1(2(z0))))))))))))))))))), 0'(0(2(2(0(1(0(2(1(2(1(2(2(1(2(1(1(2(z0)))))))))))))))))), 0'(2(2(0(1(0(2(1(2(1(2(2(1(2(1(1(2(z0))))))))))))))))), 2'(2(0(1(0(2(1(2(1(2(2(1(2(1(1(2(z0)))))))))))))))), 2'(0(1(0(2(1(2(1(2(2(1(2(1(1(2(z0))))))))))))))), 0'(1(0(2(1(2(1(2(2(1(2(1(1(2(z0)))))))))))))), 1'(0(2(1(2(1(2(2(1(2(1(1(2(z0))))))))))))), 0'(2(1(2(1(2(2(1(2(1(1(2(z0)))))))))))), 2'(1(2(1(2(2(1(2(1(1(2(z0))))))))))), 1'(2(1(2(2(1(2(1(1(2(z0)))))))))), 2'(1(2(2(1(2(1(1(2(z0))))))))), 1'(2(2(1(2(1(1(2(z0)))))))), 2'(2(1(2(1(1(2(z0))))))), 2'(1(2(1(1(2(z0)))))), 1'(2(1(1(2(z0))))), 2'(1(1(2(z0)))), 1'(1(2(z0))), 1'(2(z0)), 2'(z0)) ENCODE_0(z0) -> c6(0'(encArg(z0))) ENCODE_1(z0) -> c6(1'(encArg(z0))) ENCODE_2(z0) -> c6(2'(encArg(z0))) ENCARG(cons_0(cons_0(z0))) -> c(0'(0(encArg(z0))), ENCARG(cons_0(z0))) ENCARG(cons_0(cons_1(z0))) -> c(0'(1(encArg(z0))), ENCARG(cons_1(z0))) ENCARG(cons_0(cons_2(z0))) -> c(0'(2(encArg(z0))), ENCARG(cons_2(z0))) ENCARG(cons_1(cons_0(z0))) -> c1(1'(0(encArg(z0))), ENCARG(cons_0(z0))) ENCARG(cons_1(cons_1(z0))) -> c1(1'(1(encArg(z0))), ENCARG(cons_1(z0))) ENCARG(cons_1(cons_2(z0))) -> c1(1'(2(encArg(z0))), ENCARG(cons_2(z0))) ENCARG(cons_2(cons_0(z0))) -> c2(2'(0(encArg(z0))), ENCARG(cons_0(z0))) ENCARG(cons_2(cons_1(z0))) -> c2(2'(1(encArg(z0))), ENCARG(cons_1(z0))) ENCARG(cons_2(cons_2(z0))) -> c2(2'(2(encArg(z0))), ENCARG(cons_2(z0))) 0'(c_0(c_2(c_0(c_2(c_2(c_1(c_2(c_1(c_1(c_2(c_1(c_1(c_2(c_1(c_0(c_0(c_0(c_0(c_1(c_1(c_2(c_1(x0))))))))))))))))))))))) -> c7(0'(c_0(1(2(2(1(1(2(2(1(1(2(2(2(2(0(1(2(1(2(1(1(1(0(1(2(2(x0))))))))))))))))))))))))))), 0'(1(2(2(1(1(2(2(1(1(2(2(2(2(0(1(2(1(2(1(1(1(0(1(2(2(x0)))))))))))))))))))))))))), 1'(2(2(1(1(2(2(1(1(2(2(2(2(0(1(2(1(2(1(1(1(0(1(2(2(x0))))))))))))))))))))))))), 2'(2(1(1(2(2(1(1(2(2(2(2(0(1(2(1(2(1(1(1(0(1(2(2(x0)))))))))))))))))))))))), 2'(1(1(2(2(1(1(2(2(2(2(0(1(2(1(2(1(1(1(0(1(2(2(x0))))))))))))))))))))))), 1'(1(2(2(1(1(2(2(2(2(0(1(2(1(2(1(1(1(0(1(2(2(x0)))))))))))))))))))))), 1'(2(2(1(1(2(2(2(2(0(1(2(1(2(1(1(1(0(1(2(2(x0))))))))))))))))))))), 2'(2(1(1(2(2(2(2(0(1(2(1(2(1(1(1(0(1(2(2(x0)))))))))))))))))))), 2'(1(1(2(2(2(2(0(1(2(1(2(1(1(1(0(1(2(2(x0))))))))))))))))))), 1'(1(2(2(2(2(0(1(2(1(2(1(1(1(0(1(2(2(x0)))))))))))))))))), 1'(2(2(2(2(0(1(2(1(2(1(1(1(0(1(2(2(x0))))))))))))))))), 2'(2(2(2(0(1(2(1(2(1(1(1(0(1(2(2(x0)))))))))))))))), 2'(2(2(0(1(2(1(2(1(1(1(0(1(2(2(x0))))))))))))))), 2'(2(0(1(2(1(2(1(1(1(0(1(2(2(x0)))))))))))))), 2'(0(1(2(1(2(1(1(1(0(1(2(2(x0))))))))))))), 0'(1(2(1(2(1(1(1(0(1(2(2(x0)))))))))))), 1'(2(1(2(1(1(1(0(1(2(2(x0))))))))))), 2'(1(2(1(1(1(0(1(2(2(x0)))))))))), 1'(2(1(1(1(0(1(2(2(x0))))))))), 2'(1(1(1(0(1(2(2(x0)))))))), 1'(1(1(0(1(2(2(x0))))))), 1'(1(0(1(2(2(x0)))))), 1'(0(1(2(2(x0))))), 0'(1(2(2(x0)))), 1'(2(2(x0))), 2'(2(x0)), 2'(x0)) 0'(c_0(c_2(c_0(c_2(c_2(c_1(c_2(c_1(c_1(c_2(c_1(c_1(c_2(c_1(c_0(c_0(c_0(c_0(c_1(c_1(c_2(c_1(x0))))))))))))))))))))))) -> c7(0'(0(c_1(2(2(1(1(2(2(1(1(2(2(2(2(0(1(2(1(2(1(1(1(0(1(2(2(x0))))))))))))))))))))))))))), 0'(1(2(2(1(1(2(2(1(1(2(2(2(2(0(1(2(1(2(1(1(1(0(1(2(2(x0)))))))))))))))))))))))))), 1'(2(2(1(1(2(2(1(1(2(2(2(2(0(1(2(1(2(1(1(1(0(1(2(2(x0))))))))))))))))))))))))), 2'(2(1(1(2(2(1(1(2(2(2(2(0(1(2(1(2(1(1(1(0(1(2(2(x0)))))))))))))))))))))))), 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1'(2(2(0(0(2(0(0(1(2(0(2(2(1(2(2(2(0(2(z0))))))))))))))))))), 2'(2(0(0(2(0(0(1(2(0(2(2(1(2(2(2(0(2(z0)))))))))))))))))), 2'(0(0(2(0(0(1(2(0(2(2(1(2(2(2(0(2(z0))))))))))))))))), 0'(0(2(0(0(1(2(0(2(2(1(2(2(2(0(2(z0)))))))))))))))), 0'(2(0(0(1(2(0(2(2(1(2(2(2(0(2(z0))))))))))))))), 2'(0(0(1(2(0(2(2(1(2(2(2(0(2(z0)))))))))))))), 0'(0(1(2(0(2(2(1(2(2(2(0(2(z0))))))))))))), 0'(1(2(0(2(2(1(2(2(2(0(2(z0)))))))))))), 1'(2(0(2(2(1(2(2(2(0(2(z0))))))))))), 2'(0(2(2(1(2(2(2(0(2(z0)))))))))), 0'(2(2(1(2(2(2(0(2(z0))))))))), 2'(2(1(2(2(2(0(2(z0)))))))), 2'(1(2(2(2(0(2(z0))))))), 1'(2(2(2(0(2(z0)))))), 2'(2(2(0(2(z0))))), 2'(2(0(2(z0)))), 2'(0(2(z0))), 0'(2(z0)), 2'(z0)) 1'(c_0(c_1(c_0(c_2(c_2(c_2(c_2(c_1(c_0(c_0(c_2(c_0(c_2(c_1(c_2(c_1(c_2(c_1(c_1(c_2(c_0(c_2(z0))))))))))))))))))))))) -> c22(2'(1(2(0(2(0(2(0(2(2(2(2(1(2(1(2(2(2(1(1(2(1(0(1(1(2(2(z0))))))))))))))))))))))))))), 1'(2(0(2(0(2(0(2(2(2(2(1(2(1(2(2(2(1(1(2(1(0(1(1(2(2(z0)))))))))))))))))))))))))), 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1'(1(2(2(0(1(0(2(2(1(2(2(2(1(0(1(2(z0))))))))))))))))), 1'(2(2(0(1(0(2(2(1(2(2(2(1(0(1(2(z0)))))))))))))))), 2'(2(0(1(0(2(2(1(2(2(2(1(0(1(2(z0))))))))))))))), 2'(0(1(0(2(2(1(2(2(2(1(0(1(2(z0)))))))))))))), 0'(1(0(2(2(1(2(2(2(1(0(1(2(z0))))))))))))), 1'(0(2(2(1(2(2(2(1(0(1(2(z0)))))))))))), 0'(2(2(1(2(2(2(1(0(1(2(z0))))))))))), 2'(2(1(2(2(2(1(0(1(2(z0)))))))))), 2'(1(2(2(2(1(0(1(2(z0))))))))), 1'(2(2(2(1(0(1(2(z0)))))))), 2'(2(2(1(0(1(2(z0))))))), 2'(2(1(0(1(2(z0)))))), 2'(1(0(1(2(z0))))), 1'(0(1(2(z0)))), 0'(1(2(z0))), 1'(2(z0)), 2'(z0)) 1'(c_0(c_0(c_1(c_0(c_1(c_1(c_0(c_2(c_1(c_1(c_2(c_1(c_2(c_1(c_2(c_0(c_1(c_2(c_2(c_1(c_2(c_1(z0))))))))))))))))))))))) -> c24(1'(2(0(0(1(1(2(2(1(2(0(2(2(0(1(1(2(2(2(1(2(2(2(2(2(1(2(z0))))))))))))))))))))))))))), 2'(0(0(1(1(2(2(1(2(0(2(2(0(1(1(2(2(2(1(2(2(2(2(2(1(2(z0)))))))))))))))))))))))))), 0'(0(1(1(2(2(1(2(0(2(2(0(1(1(2(2(2(1(2(2(2(2(2(1(2(z0))))))))))))))))))))))))), 0'(1(1(2(2(1(2(0(2(2(0(1(1(2(2(2(1(2(2(2(2(2(1(2(z0)))))))))))))))))))))))), 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2'(2(2(1(0(2(0(2(0(c_0(c_0(c_2(c_2(c_0(c_2(c_2(c_2(c_1(c_1(c_0(c_2(c_2(c_1(c_2(c_1(c_0(c_2(c_0(c_0(c_0(c_1(z0))))))))))))))))))))))))))))))), 2'(2(1(0(2(0(2(0(c_0(c_0(c_2(c_2(c_0(c_2(c_2(c_2(c_1(c_1(c_0(c_2(c_2(c_1(c_2(c_1(c_0(c_2(c_0(c_0(c_0(c_1(z0)))))))))))))))))))))))))))))), 2'(1(0(2(0(2(0(c_0(c_0(c_2(c_2(c_0(c_2(c_2(c_2(c_1(c_1(c_0(c_2(c_2(c_1(c_2(c_1(c_0(c_2(c_0(c_0(c_0(c_1(z0))))))))))))))))))))))))))))), 1'(0(2(0(2(0(c_0(c_0(c_2(c_2(c_0(c_2(c_2(c_2(c_1(c_1(c_0(c_2(c_2(c_1(c_2(c_1(c_0(c_2(c_0(c_0(c_0(c_1(z0)))))))))))))))))))))))))))), 0'(2(0(2(0(c_0(c_0(c_2(c_2(c_0(c_2(c_2(c_2(c_1(c_1(c_0(c_2(c_2(c_1(c_2(c_1(c_0(c_2(c_0(c_0(c_0(c_1(z0))))))))))))))))))))))))))), 2'(0(2(0(c_0(c_0(c_2(c_2(c_0(c_2(c_2(c_2(c_1(c_1(c_0(c_2(c_2(c_1(c_2(c_1(c_0(c_2(c_0(c_0(c_0(c_1(z0)))))))))))))))))))))))))), 0'(2(0(c_0(c_0(c_2(c_2(c_0(c_2(c_2(c_2(c_1(c_1(c_0(c_2(c_2(c_1(c_2(c_1(c_0(c_2(c_0(c_0(c_0(c_1(z0))))))))))))))))))))))))), 2'(0(c_0(c_0(c_2(c_2(c_0(c_2(c_2(c_2(c_1(c_1(c_0(c_2(c_2(c_1(c_2(c_1(c_0(c_2(c_0(c_0(c_0(c_1(z0)))))))))))))))))))))))), 0'(c_0(c_0(c_2(c_2(c_0(c_2(c_2(c_2(c_1(c_1(c_0(c_2(c_2(c_1(c_2(c_1(c_0(c_2(c_0(c_0(c_0(c_1(z0)))))))))))))))))))))))) K tuples:none Defined Rule Symbols: encArg_1, 0_1, 1_1, 2_1 Defined Pair Symbols: 0'_1, 1'_1, 2'_1, ENCODE_0_1, ENCODE_1_1, ENCODE_2_1, ENCARG_1 Compound Symbols: c11_27, c12_27, c13_27, c14_27, c15_27, c16_27, c18_27, c19_27, c20_27, c21_27, c22_27, c23_27, c24_27, c25_27, c26_27, c27_27, c28_27, c30_27, c31_27, c32_27, c33_27, c34_27, c35_27, c36_27, c37_27, c38_27, c39_27, c40_27, c41_27, c42_27, c43_27, c44_27, c45_27, c46_27, c47_27, c48_27, c6_1, c_2, c1_2, c2_2, c7_27, c8_27, c8_26, c9_27, c9_26, c10_27 ---------------------------------------- (67) CdtNarrowingProof (BOTH BOUNDS(ID, ID)) Use narrowing to replace 0'(c_0(c_1(c_2(c_0(c_1(c_0(c_0(c_2(c_0(c_1(c_1(c_0(c_1(c_2(c_1(c_1(c_2(c_2(c_1(c_1(c_0(c_2(z0))))))))))))))))))))))) -> c11(0'(2(2(2(0(1(1(2(1(2(2(1(2(1(0(2(2(2(1(2(1(1(0(0(1(0(2(z0))))))))))))))))))))))))))), 2'(2(2(0(1(1(2(1(2(2(1(2(1(0(2(2(2(1(2(1(1(0(0(1(0(2(z0)))))))))))))))))))))))))), 2'(2(0(1(1(2(1(2(2(1(2(1(0(2(2(2(1(2(1(1(0(0(1(0(2(z0))))))))))))))))))))))))), 2'(0(1(1(2(1(2(2(1(2(1(0(2(2(2(1(2(1(1(0(0(1(0(2(z0)))))))))))))))))))))))), 0'(1(1(2(1(2(2(1(2(1(0(2(2(2(1(2(1(1(0(0(1(0(2(z0))))))))))))))))))))))), 1'(1(2(1(2(2(1(2(1(0(2(2(2(1(2(1(1(0(0(1(0(2(z0)))))))))))))))))))))), 1'(2(1(2(2(1(2(1(0(2(2(2(1(2(1(1(0(0(1(0(2(z0))))))))))))))))))))), 2'(1(2(2(1(2(1(0(2(2(2(1(2(1(1(0(0(1(0(2(z0)))))))))))))))))))), 1'(2(2(1(2(1(0(2(2(2(1(2(1(1(0(0(1(0(2(z0))))))))))))))))))), 2'(2(1(2(1(0(2(2(2(1(2(1(1(0(0(1(0(2(z0)))))))))))))))))), 2'(1(2(1(0(2(2(2(1(2(1(1(0(0(1(0(2(z0))))))))))))))))), 1'(2(1(0(2(2(2(1(2(1(1(0(0(1(0(2(z0)))))))))))))))), 2'(1(0(2(2(2(1(2(1(1(0(0(1(0(2(z0))))))))))))))), 1'(0(2(2(2(1(2(1(1(0(0(1(0(2(z0)))))))))))))), 0'(2(2(2(1(2(1(1(0(0(1(0(2(z0))))))))))))), 2'(2(2(1(2(1(1(0(0(1(0(2(z0)))))))))))), 2'(2(1(2(1(1(0(0(1(0(2(z0))))))))))), 2'(1(2(1(1(0(0(1(0(2(z0)))))))))), 1'(2(1(1(0(0(1(0(2(z0))))))))), 2'(1(1(0(0(1(0(2(z0)))))))), 1'(1(0(0(1(0(2(z0))))))), 1'(0(0(1(0(2(z0)))))), 0'(0(1(0(2(z0))))), 0'(1(0(2(z0)))), 1'(0(2(z0))), 0'(2(z0)), 2'(z0)) by 0'(c_0(c_1(c_2(c_0(c_1(c_0(c_0(c_2(c_0(c_1(c_1(c_0(c_1(c_2(c_1(c_1(c_2(c_2(c_1(c_1(c_0(c_2(x0))))))))))))))))))))))) -> c11(0'(c_2(2(2(0(1(1(2(1(2(2(1(2(1(0(2(2(2(1(2(1(1(0(0(1(0(2(x0))))))))))))))))))))))))))), 2'(2(2(0(1(1(2(1(2(2(1(2(1(0(2(2(2(1(2(1(1(0(0(1(0(2(x0)))))))))))))))))))))))))), 2'(2(0(1(1(2(1(2(2(1(2(1(0(2(2(2(1(2(1(1(0(0(1(0(2(x0))))))))))))))))))))))))), 2'(0(1(1(2(1(2(2(1(2(1(0(2(2(2(1(2(1(1(0(0(1(0(2(x0)))))))))))))))))))))))), 0'(1(1(2(1(2(2(1(2(1(0(2(2(2(1(2(1(1(0(0(1(0(2(x0))))))))))))))))))))))), 1'(1(2(1(2(2(1(2(1(0(2(2(2(1(2(1(1(0(0(1(0(2(x0)))))))))))))))))))))), 1'(2(1(2(2(1(2(1(0(2(2(2(1(2(1(1(0(0(1(0(2(x0))))))))))))))))))))), 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1'(2(1(1(0(0(1(0(2(c_1(c_2(c_1(c_0(c_2(c_1(c_2(c_0(c_0(c_0(c_0(c_2(c_0(c_0(c_0(c_2(c_2(c_0(c_0(c_0(c_0(c_1(z0))))))))))))))))))))))))))))))), 2'(1(1(0(0(1(0(2(c_1(c_2(c_1(c_0(c_2(c_1(c_2(c_0(c_0(c_0(c_0(c_2(c_0(c_0(c_0(c_2(c_2(c_0(c_0(c_0(c_0(c_1(z0)))))))))))))))))))))))))))))), 1'(1(0(0(1(0(2(c_1(c_2(c_1(c_0(c_2(c_1(c_2(c_0(c_0(c_0(c_0(c_2(c_0(c_0(c_0(c_2(c_2(c_0(c_0(c_0(c_0(c_1(z0))))))))))))))))))))))))))))), 1'(0(0(1(0(2(c_1(c_2(c_1(c_0(c_2(c_1(c_2(c_0(c_0(c_0(c_0(c_2(c_0(c_0(c_0(c_2(c_2(c_0(c_0(c_0(c_0(c_1(z0)))))))))))))))))))))))))))), 0'(0(1(0(2(c_1(c_2(c_1(c_0(c_2(c_1(c_2(c_0(c_0(c_0(c_0(c_2(c_0(c_0(c_0(c_2(c_2(c_0(c_0(c_0(c_0(c_1(z0))))))))))))))))))))))))))), 0'(1(0(2(c_1(c_2(c_1(c_0(c_2(c_1(c_2(c_0(c_0(c_0(c_0(c_2(c_0(c_0(c_0(c_2(c_2(c_0(c_0(c_0(c_0(c_1(z0)))))))))))))))))))))))))), 1'(0(2(c_1(c_2(c_1(c_0(c_2(c_1(c_2(c_0(c_0(c_0(c_0(c_2(c_0(c_0(c_0(c_2(c_2(c_0(c_0(c_0(c_0(c_1(z0))))))))))))))))))))))))), 0'(2(c_1(c_2(c_1(c_0(c_2(c_1(c_2(c_0(c_0(c_0(c_0(c_2(c_0(c_0(c_0(c_2(c_2(c_0(c_0(c_0(c_0(c_1(z0)))))))))))))))))))))))), 2'(c_1(c_2(c_1(c_0(c_2(c_1(c_2(c_0(c_0(c_0(c_0(c_2(c_0(c_0(c_0(c_2(c_2(c_0(c_0(c_0(c_0(c_1(z0)))))))))))))))))))))))) ---------------------------------------- (68) Obligation: Complexity Dependency Tuples Problem Rules: encArg(cons_0(z0)) -> 0(encArg(z0)) encArg(cons_1(z0)) -> 1(encArg(z0)) encArg(cons_2(z0)) -> 2(encArg(z0)) 0(z0) -> c_0(z0) 0(c_0(c_2(c_0(c_2(c_2(c_1(c_2(c_1(c_1(c_2(c_1(c_1(c_2(c_1(c_0(c_0(c_0(c_0(c_1(c_1(c_2(c_1(z0))))))))))))))))))))))) -> 0(0(1(2(2(1(1(2(2(1(1(2(2(2(2(0(1(2(1(2(1(1(1(0(1(2(2(z0))))))))))))))))))))))))))) 0(c_1(c_1(c_1(c_2(c_2(c_1(c_0(c_0(c_2(c_2(c_2(c_2(c_0(c_2(c_0(c_0(c_0(c_0(c_1(c_0(c_0(c_2(z0))))))))))))))))))))))) -> 0(2(1(1(1(1(2(2(1(1(0(1(1(2(1(2(1(0(0(1(2(2(1(0(0(2(2(z0))))))))))))))))))))))))))) 0(c_1(c_1(c_0(c_1(c_1(c_1(c_2(c_2(c_0(c_2(c_0(c_1(c_2(c_2(c_2(c_0(c_1(c_2(c_0(c_1(c_0(c_2(z0))))))))))))))))))))))) -> 0(2(0(1(0(2(0(2(2(2(1(2(1(1(2(2(2(2(2(2(2(1(0(0(0(2(2(z0))))))))))))))))))))))))))) 0(c_1(c_0(c_0(c_1(c_2(c_2(c_1(c_0(c_1(c_2(c_1(c_2(c_0(c_1(c_0(c_2(c_2(c_0(c_1(c_2(c_1(c_0(z0))))))))))))))))))))))) -> 0(0(0(1(2(2(2(2(2(2(2(0(0(0(0(1(2(1(2(2(2(1(0(2(0(2(0(z0))))))))))))))))))))))))))) 0(c_0(c_1(c_2(c_0(c_1(c_0(c_0(c_2(c_0(c_1(c_1(c_0(c_1(c_2(c_1(c_1(c_2(c_2(c_1(c_1(c_0(c_2(z0))))))))))))))))))))))) -> 0(2(2(2(0(1(1(2(1(2(2(1(2(1(0(2(2(2(1(2(1(1(0(0(1(0(2(z0))))))))))))))))))))))))))) 0(c_1(c_1(c_1(c_1(c_2(c_1(c_1(c_2(c_2(c_0(c_1(c_0(c_1(c_1(c_0(c_2(c_0(c_0(c_2(c_0(c_1(c_0(z0))))))))))))))))))))))) -> 2(2(2(2(2(1(0(1(2(2(0(1(1(1(2(2(1(1(0(0(0(0(2(2(1(2(2(z0))))))))))))))))))))))))))) 0(c_1(c_2(c_1(c_1(c_2(c_2(c_2(c_1(c_1(c_0(c_0(c_1(c_0(c_2(c_0(c_2(c_2(c_1(c_0(c_2(c_1(c_1(z0))))))))))))))))))))))) -> 2(1(2(1(2(1(2(2(0(2(0(1(2(1(2(1(2(0(1(2(0(0(2(2(1(1(2(z0))))))))))))))))))))))))))) 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2(2(1(2(1(2(2(1(0(1(2(2(2(1(0(2(1(1(2(1(0(1(1(1(2(2(2(z0))))))))))))))))))))))))))) 1(c_1(c_0(c_1(c_2(c_2(c_2(c_2(c_1(c_0(c_2(c_1(c_2(c_0(c_0(c_0(c_1(c_0(c_2(c_1(c_1(c_1(c_2(z0))))))))))))))))))))))) -> 2(1(2(1(2(2(2(2(2(0(0(0(0(2(1(2(2(2(2(1(2(2(2(0(0(2(2(z0))))))))))))))))))))))))))) 1(c_1(c_2(c_2(c_1(c_0(c_2(c_0(c_1(c_1(c_2(c_2(c_2(c_1(c_0(c_1(c_0(c_0(c_2(c_1(c_1(c_0(c_2(z0))))))))))))))))))))))) -> 2(2(2(1(1(2(2(2(1(2(2(0(0(2(0(0(1(2(0(2(2(1(2(2(2(0(2(z0))))))))))))))))))))))))))) 1(c_0(c_1(c_0(c_2(c_2(c_2(c_2(c_1(c_0(c_0(c_2(c_0(c_2(c_1(c_2(c_1(c_2(c_1(c_1(c_2(c_0(c_2(z0))))))))))))))))))))))) -> 2(1(2(0(2(0(2(0(2(2(2(2(1(2(1(2(2(2(1(1(2(1(0(1(1(2(2(z0))))))))))))))))))))))))))) 1(c_1(c_1(c_0(c_2(c_2(c_1(c_1(c_1(c_2(c_2(c_0(c_2(c_0(c_2(c_1(c_1(c_2(c_1(c_2(c_1(c_2(c_2(z0))))))))))))))))))))))) -> 1(2(1(2(1(1(1(1(2(1(1(1(2(2(0(1(0(2(2(1(2(2(2(1(0(1(2(z0))))))))))))))))))))))))))) 1(c_0(c_0(c_1(c_0(c_1(c_1(c_0(c_2(c_1(c_1(c_2(c_1(c_2(c_1(c_2(c_0(c_1(c_2(c_2(c_1(c_2(c_1(z0))))))))))))))))))))))) -> 1(2(0(0(1(1(2(2(1(2(0(2(2(0(1(1(2(2(2(1(2(2(2(2(2(1(2(z0))))))))))))))))))))))))))) 1(c_2(c_2(c_2(c_1(c_1(c_0(c_0(c_2(c_2(c_2(c_0(c_0(c_0(c_2(c_1(c_2(c_2(c_0(c_2(c_0(c_2(c_0(z0))))))))))))))))))))))) -> 1(2(1(2(0(0(1(1(1(2(2(2(2(1(2(2(2(0(2(0(1(2(2(2(2(0(0(z0))))))))))))))))))))))))))) 1(c_2(c_0(c_2(c_1(c_2(c_2(c_1(c_2(c_2(c_2(c_0(c_1(c_1(c_1(c_1(c_0(c_1(c_0(c_0(c_2(c_0(c_1(z0))))))))))))))))))))))) -> 1(2(1(2(1(2(2(2(2(2(2(0(0(2(0(0(2(2(0(1(1(1(1(0(0(2(1(z0))))))))))))))))))))))))))) 1(c_1(c_0(c_2(c_1(c_0(c_2(c_0(c_1(c_2(c_0(c_2(c_0(c_0(c_2(c_1(c_0(c_1(c_0(c_1(c_2(c_1(c_2(z0))))))))))))))))))))))) -> 2(0(2(2(1(1(1(2(2(0(1(2(0(2(1(1(2(1(0(0(2(0(1(2(2(2(2(z0))))))))))))))))))))))))))) 1(c_1(c_0(c_0(c_1(c_1(c_1(c_2(c_2(c_2(c_1(c_2(c_1(c_0(c_0(c_0(c_2(c_2(c_2(c_0(c_1(c_2(c_0(z0))))))))))))))))))))))) -> 2(1(2(1(2(2(2(1(2(2(0(2(2(1(0(2(1(2(2(0(1(0(1(1(2(2(2(z0))))))))))))))))))))))))))) 2(z0) -> c_2(z0) 2(c_2(c_1(c_1(c_1(c_0(c_0(c_2(c_1(c_0(c_2(c_1(c_2(c_0(c_0(c_2(c_1(c_0(c_1(c_1(c_2(c_2(c_1(z0))))))))))))))))))))))) -> 2(1(2(2(0(1(2(1(1(0(1(2(1(0(0(1(2(2(1(2(1(0(2(1(2(2(1(z0))))))))))))))))))))))))))) 2(c_2(c_1(c_1(c_2(c_0(c_0(c_2(c_2(c_2(c_2(c_1(c_1(c_1(c_1(c_1(c_2(c_1(c_2(c_0(c_0(c_1(c_1(z0))))))))))))))))))))))) -> 2(2(1(1(2(2(1(2(1(2(2(0(0(0(2(1(0(2(2(1(2(2(0(1(1(2(2(z0))))))))))))))))))))))))))) 2(c_1(c_0(c_1(c_0(c_0(c_2(c_2(c_2(c_0(c_1(c_0(c_0(c_2(c_0(c_0(c_1(c_2(c_0(c_2(c_2(c_2(c_0(z0))))))))))))))))))))))) -> 2(1(1(2(0(1(2(0(0(2(0(1(2(2(1(1(1(2(2(2(0(0(1(1(0(2(0(z0))))))))))))))))))))))))))) 2(c_0(c_2(c_0(c_1(c_0(c_1(c_1(c_2(c_0(c_1(c_1(c_2(c_2(c_1(c_0(c_2(c_0(c_2(c_0(c_2(c_2(c_2(z0))))))))))))))))))))))) -> 2(0(0(1(1(2(0(2(2(1(1(2(2(0(1(2(2(2(0(0(2(0(2(2(2(0(2(z0))))))))))))))))))))))))))) 2(c_2(c_0(c_1(c_2(c_2(c_2(c_0(c_2(c_2(c_2(c_0(c_2(c_2(c_2(c_2(c_1(c_0(c_1(c_0(c_0(c_1(c_0(z0))))))))))))))))))))))) -> 2(2(0(1(1(2(2(2(1(1(2(1(0(0(1(2(2(1(2(1(0(2(2(0(0(2(0(z0))))))))))))))))))))))))))) 2(c_2(c_1(c_1(c_1(c_2(c_0(c_1(c_1(c_2(c_2(c_0(c_1(c_1(c_1(c_1(c_1(c_2(c_2(c_2(c_0(c_2(c_1(z0))))))))))))))))))))))) -> 1(2(1(2(2(1(1(1(1(2(2(2(1(2(0(0(0(1(2(0(0(1(2(2(2(2(2(z0))))))))))))))))))))))))))) 2(c_1(c_1(c_0(c_2(c_2(c_2(c_0(c_1(c_2(c_1(c_1(c_0(c_1(c_2(c_0(c_0(c_1(c_1(c_1(c_1(c_2(c_2(z0))))))))))))))))))))))) -> 2(0(0(2(1(0(0(0(0(0(1(2(1(1(2(1(1(2(1(2(2(0(1(1(1(2(2(z0))))))))))))))))))))))))))) 2(c_2(c_1(c_2(c_1(c_2(c_2(c_2(c_0(c_1(c_2(c_1(c_2(c_2(c_2(c_2(c_1(c_1(c_0(c_1(c_0(c_1(c_0(z0))))))))))))))))))))))) -> 1(2(1(2(1(2(0(1(2(2(0(1(1(1(2(2(1(1(1(2(2(0(1(0(1(2(2(z0))))))))))))))))))))))))))) 2(c_0(c_2(c_0(c_1(c_2(c_2(c_0(c_0(c_2(c_2(c_2(c_1(c_1(c_1(c_2(c_1(c_0(c_2(c_0(c_2(c_2(c_0(z0))))))))))))))))))))))) -> 2(1(1(1(2(2(0(0(0(2(1(0(0(0(1(1(0(2(2(0(2(2(2(2(2(2(0(z0))))))))))))))))))))))))))) 2(c_2(c_0(c_0(c_2(c_1(c_2(c_0(c_1(c_2(c_0(c_2(c_1(c_0(c_1(c_1(c_2(c_2(c_1(c_0(c_1(c_0(c_2(z0))))))))))))))))))))))) -> 2(2(2(2(1(2(1(2(0(2(2(2(2(2(0(1(2(0(2(1(0(0(0(2(0(2(2(z0))))))))))))))))))))))))))) 2(c_2(c_2(c_0(c_0(c_1(c_0(c_0(c_2(c_0(c_0(c_2(c_1(c_1(c_2(c_1(c_0(c_1(c_2(c_2(c_2(c_1(c_0(z0))))))))))))))))))))))) -> 1(2(2(2(2(0(1(2(1(2(0(1(2(1(2(1(0(1(0(1(0(1(1(2(2(1(0(z0))))))))))))))))))))))))))) 2(c_1(c_0(c_1(c_1(c_2(c_0(c_0(c_2(c_1(c_0(c_0(c_0(c_1(c_2(c_1(c_1(c_2(c_0(c_2(c_1(c_2(c_1(z0))))))))))))))))))))))) -> 2(0(2(2(0(0(2(2(1(1(1(2(0(1(0(1(2(2(2(2(2(0(0(0(2(2(1(z0))))))))))))))))))))))))))) 2(c_2(c_1(c_2(c_2(c_0(c_0(c_2(c_1(c_1(c_0(c_2(c_2(c_0(c_2(c_2(c_0(c_2(c_2(c_1(c_2(c_0(c_2(z0))))))))))))))))))))))) -> 1(2(1(1(1(2(2(2(1(2(1(0(2(1(1(1(1(2(2(0(0(1(1(0(2(1(2(z0))))))))))))))))))))))))))) 2(c_2(c_0(c_0(c_1(c_2(c_1(c_1(c_2(c_1(c_0(c_0(c_0(c_0(c_0(c_2(c_1(c_2(c_1(c_1(c_2(c_0(c_2(z0))))))))))))))))))))))) -> 2(1(1(2(2(2(2(1(2(1(0(0(2(1(0(2(2(0(1(1(0(2(0(0(0(0(2(z0))))))))))))))))))))))))))) 2(c_0(c_1(c_0(c_0(c_0(c_1(c_0(c_0(c_0(c_0(c_0(c_0(c_0(c_1(c_0(c_2(c_0(c_0(c_2(c_2(c_2(c_2(z0))))))))))))))))))))))) -> 2(2(2(1(1(2(1(2(0(1(1(2(1(0(2(1(0(0(1(0(1(1(2(1(2(2(2(z0))))))))))))))))))))))))))) 2(c_2(c_0(c_0(c_1(c_0(c_1(c_2(c_2(c_2(c_1(c_1(c_0(c_0(c_1(c_2(c_2(c_1(c_2(c_0(c_1(c_2(c_1(z0))))))))))))))))))))))) -> 2(2(2(2(0(2(0(2(2(1(2(1(0(1(1(2(2(0(0(2(1(2(1(2(1(2(0(z0))))))))))))))))))))))))))) 2(c_2(c_1(c_1(c_2(c_2(c_1(c_2(c_1(c_1(c_1(c_0(c_0(c_2(c_1(c_1(c_0(c_2(c_0(c_0(c_1(c_1(c_2(z0))))))))))))))))))))))) -> 2(1(1(1(2(2(2(1(1(0(2(2(1(0(1(0(2(2(1(2(0(0(0(1(2(1(2(z0))))))))))))))))))))))))))) 2(c_2(c_0(c_1(c_1(c_0(c_0(c_1(c_2(c_1(c_0(c_2(c_1(c_2(c_2(c_2(c_1(c_0(c_0(c_2(c_2(c_2(c_0(z0))))))))))))))))))))))) -> 2(2(1(0(0(0(0(2(2(1(1(2(2(1(0(2(1(2(1(2(2(1(2(2(2(0(0(z0))))))))))))))))))))))))))) 2(c_1(c_2(c_1(c_0(c_2(c_1(c_2(c_0(c_0(c_0(c_0(c_2(c_0(c_0(c_0(c_2(c_2(c_0(c_0(c_0(c_0(c_1(z0))))))))))))))))))))))) -> 2(1(2(1(2(0(0(2(1(0(0(2(2(0(1(0(2(1(2(1(2(2(1(2(1(1(2(z0))))))))))))))))))))))))))) Tuples: 0'(c_1(c_1(c_1(c_1(c_2(c_1(c_1(c_2(c_2(c_0(c_1(c_0(c_1(c_1(c_0(c_2(c_0(c_0(c_2(c_0(c_1(c_0(z0))))))))))))))))))))))) -> c12(2'(2(2(2(2(1(0(1(2(2(0(1(1(1(2(2(1(1(0(0(0(0(2(2(1(2(2(z0))))))))))))))))))))))))))), 2'(2(2(2(1(0(1(2(2(0(1(1(1(2(2(1(1(0(0(0(0(2(2(1(2(2(z0)))))))))))))))))))))))))), 2'(2(2(1(0(1(2(2(0(1(1(1(2(2(1(1(0(0(0(0(2(2(1(2(2(z0))))))))))))))))))))))))), 2'(2(1(0(1(2(2(0(1(1(1(2(2(1(1(0(0(0(0(2(2(1(2(2(z0)))))))))))))))))))))))), 2'(1(0(1(2(2(0(1(1(1(2(2(1(1(0(0(0(0(2(2(1(2(2(z0))))))))))))))))))))))), 1'(0(1(2(2(0(1(1(1(2(2(1(1(0(0(0(0(2(2(1(2(2(z0)))))))))))))))))))))), 0'(1(2(2(0(1(1(1(2(2(1(1(0(0(0(0(2(2(1(2(2(z0))))))))))))))))))))), 1'(2(2(0(1(1(1(2(2(1(1(0(0(0(0(2(2(1(2(2(z0)))))))))))))))))))), 2'(2(0(1(1(1(2(2(1(1(0(0(0(0(2(2(1(2(2(z0))))))))))))))))))), 2'(0(1(1(1(2(2(1(1(0(0(0(0(2(2(1(2(2(z0)))))))))))))))))), 0'(1(1(1(2(2(1(1(0(0(0(0(2(2(1(2(2(z0))))))))))))))))), 1'(1(1(2(2(1(1(0(0(0(0(2(2(1(2(2(z0)))))))))))))))), 1'(1(2(2(1(1(0(0(0(0(2(2(1(2(2(z0))))))))))))))), 1'(2(2(1(1(0(0(0(0(2(2(1(2(2(z0)))))))))))))), 2'(2(1(1(0(0(0(0(2(2(1(2(2(z0))))))))))))), 2'(1(1(0(0(0(0(2(2(1(2(2(z0)))))))))))), 1'(1(0(0(0(0(2(2(1(2(2(z0))))))))))), 1'(0(0(0(0(2(2(1(2(2(z0)))))))))), 0'(0(0(0(2(2(1(2(2(z0))))))))), 0'(0(0(2(2(1(2(2(z0)))))))), 0'(0(2(2(1(2(2(z0))))))), 0'(2(2(1(2(2(z0)))))), 2'(2(1(2(2(z0))))), 2'(1(2(2(z0)))), 1'(2(2(z0))), 2'(2(z0)), 2'(z0)) 0'(c_1(c_2(c_1(c_1(c_2(c_2(c_2(c_1(c_1(c_0(c_0(c_1(c_0(c_2(c_0(c_2(c_2(c_1(c_0(c_2(c_1(c_1(z0))))))))))))))))))))))) -> c13(2'(1(2(1(2(1(2(2(0(2(0(1(2(1(2(1(2(0(1(2(0(0(2(2(1(1(2(z0))))))))))))))))))))))))))), 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0'(1(2(0(0(2(2(1(1(2(z0)))))))))), 1'(2(0(0(2(2(1(1(2(z0))))))))), 2'(0(0(2(2(1(1(2(z0)))))))), 0'(0(2(2(1(1(2(z0))))))), 0'(2(2(1(1(2(z0)))))), 2'(2(1(1(2(z0))))), 2'(1(1(2(z0)))), 1'(1(2(z0))), 1'(2(z0)), 2'(z0)) 0'(c_0(c_1(c_0(c_2(c_2(c_1(c_2(c_0(c_0(c_1(c_2(c_0(c_2(c_2(c_2(c_1(c_1(c_2(c_0(c_0(c_2(c_1(z0))))))))))))))))))))))) -> c14(0'(1(1(1(0(2(1(2(1(2(0(1(1(2(1(1(2(2(2(2(2(0(2(2(2(1(2(z0))))))))))))))))))))))))))), 1'(1(1(0(2(1(2(1(2(0(1(1(2(1(1(2(2(2(2(2(0(2(2(2(1(2(z0)))))))))))))))))))))))))), 1'(1(0(2(1(2(1(2(0(1(1(2(1(1(2(2(2(2(2(0(2(2(2(1(2(z0))))))))))))))))))))))))), 1'(0(2(1(2(1(2(0(1(1(2(1(1(2(2(2(2(2(0(2(2(2(1(2(z0)))))))))))))))))))))))), 0'(2(1(2(1(2(0(1(1(2(1(1(2(2(2(2(2(0(2(2(2(1(2(z0))))))))))))))))))))))), 2'(1(2(1(2(0(1(1(2(1(1(2(2(2(2(2(0(2(2(2(1(2(z0)))))))))))))))))))))), 1'(2(1(2(0(1(1(2(1(1(2(2(2(2(2(0(2(2(2(1(2(z0))))))))))))))))))))), 2'(1(2(0(1(1(2(1(1(2(2(2(2(2(0(2(2(2(1(2(z0)))))))))))))))))))), 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2'(2(1(2(2(2(1(0(1(2(z0)))))))))), 2'(1(2(2(2(1(0(1(2(z0))))))))), 1'(2(2(2(1(0(1(2(z0)))))))), 2'(2(2(1(0(1(2(z0))))))), 2'(2(1(0(1(2(z0)))))), 2'(1(0(1(2(z0))))), 1'(0(1(2(z0)))), 0'(1(2(z0))), 1'(2(z0)), 2'(z0)) 1'(c_0(c_0(c_1(c_0(c_1(c_1(c_0(c_2(c_1(c_1(c_2(c_1(c_2(c_1(c_2(c_0(c_1(c_2(c_2(c_1(c_2(c_1(z0))))))))))))))))))))))) -> c24(1'(2(0(0(1(1(2(2(1(2(0(2(2(0(1(1(2(2(2(1(2(2(2(2(2(1(2(z0))))))))))))))))))))))))))), 2'(0(0(1(1(2(2(1(2(0(2(2(0(1(1(2(2(2(1(2(2(2(2(2(1(2(z0)))))))))))))))))))))))))), 0'(0(1(1(2(2(1(2(0(2(2(0(1(1(2(2(2(1(2(2(2(2(2(1(2(z0))))))))))))))))))))))))), 0'(1(1(2(2(1(2(0(2(2(0(1(1(2(2(2(1(2(2(2(2(2(1(2(z0)))))))))))))))))))))))), 1'(1(2(2(1(2(0(2(2(0(1(1(2(2(2(1(2(2(2(2(2(1(2(z0))))))))))))))))))))))), 1'(2(2(1(2(0(2(2(0(1(1(2(2(2(1(2(2(2(2(2(1(2(z0)))))))))))))))))))))), 2'(2(1(2(0(2(2(0(1(1(2(2(2(1(2(2(2(2(2(1(2(z0))))))))))))))))))))), 2'(1(2(0(2(2(0(1(1(2(2(2(1(2(2(2(2(2(1(2(z0)))))))))))))))))))), 1'(2(0(2(2(0(1(1(2(2(2(1(2(2(2(2(2(1(2(z0))))))))))))))))))), 2'(0(2(2(0(1(1(2(2(2(1(2(2(2(2(2(1(2(z0)))))))))))))))))), 0'(2(2(0(1(1(2(2(2(1(2(2(2(2(2(1(2(z0))))))))))))))))), 2'(2(0(1(1(2(2(2(1(2(2(2(2(2(1(2(z0)))))))))))))))), 2'(0(1(1(2(2(2(1(2(2(2(2(2(1(2(z0))))))))))))))), 0'(1(1(2(2(2(1(2(2(2(2(2(1(2(z0)))))))))))))), 1'(1(2(2(2(1(2(2(2(2(2(1(2(z0))))))))))))), 1'(2(2(2(1(2(2(2(2(2(1(2(z0)))))))))))), 2'(2(2(1(2(2(2(2(2(1(2(z0))))))))))), 2'(2(1(2(2(2(2(2(1(2(z0)))))))))), 2'(1(2(2(2(2(2(1(2(z0))))))))), 1'(2(2(2(2(2(1(2(z0)))))))), 2'(2(2(2(2(1(2(z0))))))), 2'(2(2(2(1(2(z0)))))), 2'(2(2(1(2(z0))))), 2'(2(1(2(z0)))), 2'(1(2(z0))), 1'(2(z0)), 2'(z0)) 1'(c_2(c_2(c_2(c_1(c_1(c_0(c_0(c_2(c_2(c_2(c_0(c_0(c_0(c_2(c_1(c_2(c_2(c_0(c_2(c_0(c_2(c_0(z0))))))))))))))))))))))) -> c25(1'(2(1(2(0(0(1(1(1(2(2(2(2(1(2(2(2(0(2(0(1(2(2(2(2(0(0(z0))))))))))))))))))))))))))), 2'(1(2(0(0(1(1(1(2(2(2(2(1(2(2(2(0(2(0(1(2(2(2(2(0(0(z0)))))))))))))))))))))))))), 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2'(1(0(2(1(2(1(2(2(1(2(2(2(0(0(z0))))))))))))))), 1'(0(2(1(2(1(2(2(1(2(2(2(0(0(z0)))))))))))))), 0'(2(1(2(1(2(2(1(2(2(2(0(0(z0))))))))))))), 2'(1(2(1(2(2(1(2(2(2(0(0(z0)))))))))))), 1'(2(1(2(2(1(2(2(2(0(0(z0))))))))))), 2'(1(2(2(1(2(2(2(0(0(z0)))))))))), 1'(2(2(1(2(2(2(0(0(z0))))))))), 2'(2(1(2(2(2(0(0(z0)))))))), 2'(1(2(2(2(0(0(z0))))))), 1'(2(2(2(0(0(z0)))))), 2'(2(2(0(0(z0))))), 2'(2(0(0(z0)))), 2'(0(0(z0))), 0'(0(z0)), 0'(z0)) 2'(c_1(c_2(c_1(c_0(c_2(c_1(c_2(c_0(c_0(c_0(c_0(c_2(c_0(c_0(c_0(c_2(c_2(c_0(c_0(c_0(c_0(c_1(z0))))))))))))))))))))))) -> c48(2'(1(2(1(2(0(0(2(1(0(0(2(2(0(1(0(2(1(2(1(2(2(1(2(1(1(2(z0))))))))))))))))))))))))))), 1'(2(1(2(0(0(2(1(0(0(2(2(0(1(0(2(1(2(1(2(2(1(2(1(1(2(z0)))))))))))))))))))))))))), 2'(1(2(0(0(2(1(0(0(2(2(0(1(0(2(1(2(1(2(2(1(2(1(1(2(z0))))))))))))))))))))))))), 1'(2(0(0(2(1(0(0(2(2(0(1(0(2(1(2(1(2(2(1(2(1(1(2(z0)))))))))))))))))))))))), 2'(0(0(2(1(0(0(2(2(0(1(0(2(1(2(1(2(2(1(2(1(1(2(z0))))))))))))))))))))))), 0'(0(2(1(0(0(2(2(0(1(0(2(1(2(1(2(2(1(2(1(1(2(z0)))))))))))))))))))))), 0'(2(1(0(0(2(2(0(1(0(2(1(2(1(2(2(1(2(1(1(2(z0))))))))))))))))))))), 2'(1(0(0(2(2(0(1(0(2(1(2(1(2(2(1(2(1(1(2(z0)))))))))))))))))))), 1'(0(0(2(2(0(1(0(2(1(2(1(2(2(1(2(1(1(2(z0))))))))))))))))))), 0'(0(2(2(0(1(0(2(1(2(1(2(2(1(2(1(1(2(z0)))))))))))))))))), 0'(2(2(0(1(0(2(1(2(1(2(2(1(2(1(1(2(z0))))))))))))))))), 2'(2(0(1(0(2(1(2(1(2(2(1(2(1(1(2(z0)))))))))))))))), 2'(0(1(0(2(1(2(1(2(2(1(2(1(1(2(z0))))))))))))))), 0'(1(0(2(1(2(1(2(2(1(2(1(1(2(z0)))))))))))))), 1'(0(2(1(2(1(2(2(1(2(1(1(2(z0))))))))))))), 0'(2(1(2(1(2(2(1(2(1(1(2(z0)))))))))))), 2'(1(2(1(2(2(1(2(1(1(2(z0))))))))))), 1'(2(1(2(2(1(2(1(1(2(z0)))))))))), 2'(1(2(2(1(2(1(1(2(z0))))))))), 1'(2(2(1(2(1(1(2(z0)))))))), 2'(2(1(2(1(1(2(z0))))))), 2'(1(2(1(1(2(z0)))))), 1'(2(1(1(2(z0))))), 2'(1(1(2(z0)))), 1'(1(2(z0))), 1'(2(z0)), 2'(z0)) ENCODE_0(z0) -> c6(0'(encArg(z0))) ENCODE_1(z0) -> c6(1'(encArg(z0))) ENCODE_2(z0) -> c6(2'(encArg(z0))) ENCARG(cons_0(cons_0(z0))) -> c(0'(0(encArg(z0))), ENCARG(cons_0(z0))) ENCARG(cons_0(cons_1(z0))) -> c(0'(1(encArg(z0))), ENCARG(cons_1(z0))) ENCARG(cons_0(cons_2(z0))) -> c(0'(2(encArg(z0))), ENCARG(cons_2(z0))) ENCARG(cons_1(cons_0(z0))) -> c1(1'(0(encArg(z0))), ENCARG(cons_0(z0))) ENCARG(cons_1(cons_1(z0))) -> c1(1'(1(encArg(z0))), ENCARG(cons_1(z0))) ENCARG(cons_1(cons_2(z0))) -> c1(1'(2(encArg(z0))), ENCARG(cons_2(z0))) ENCARG(cons_2(cons_0(z0))) -> c2(2'(0(encArg(z0))), ENCARG(cons_0(z0))) ENCARG(cons_2(cons_1(z0))) -> c2(2'(1(encArg(z0))), ENCARG(cons_1(z0))) ENCARG(cons_2(cons_2(z0))) -> c2(2'(2(encArg(z0))), ENCARG(cons_2(z0))) 0'(c_0(c_2(c_0(c_2(c_2(c_1(c_2(c_1(c_1(c_2(c_1(c_1(c_2(c_1(c_0(c_0(c_0(c_0(c_1(c_1(c_2(c_1(x0))))))))))))))))))))))) -> c7(0'(c_0(1(2(2(1(1(2(2(1(1(2(2(2(2(0(1(2(1(2(1(1(1(0(1(2(2(x0))))))))))))))))))))))))))), 0'(1(2(2(1(1(2(2(1(1(2(2(2(2(0(1(2(1(2(1(1(1(0(1(2(2(x0)))))))))))))))))))))))))), 1'(2(2(1(1(2(2(1(1(2(2(2(2(0(1(2(1(2(1(1(1(0(1(2(2(x0))))))))))))))))))))))))), 2'(2(1(1(2(2(1(1(2(2(2(2(0(1(2(1(2(1(1(1(0(1(2(2(x0)))))))))))))))))))))))), 2'(1(1(2(2(1(1(2(2(2(2(0(1(2(1(2(1(1(1(0(1(2(2(x0))))))))))))))))))))))), 1'(1(2(2(1(1(2(2(2(2(0(1(2(1(2(1(1(1(0(1(2(2(x0)))))))))))))))))))))), 1'(2(2(1(1(2(2(2(2(0(1(2(1(2(1(1(1(0(1(2(2(x0))))))))))))))))))))), 2'(2(1(1(2(2(2(2(0(1(2(1(2(1(1(1(0(1(2(2(x0)))))))))))))))))))), 2'(1(1(2(2(2(2(0(1(2(1(2(1(1(1(0(1(2(2(x0))))))))))))))))))), 1'(1(2(2(2(2(0(1(2(1(2(1(1(1(0(1(2(2(x0)))))))))))))))))), 1'(2(2(2(2(0(1(2(1(2(1(1(1(0(1(2(2(x0))))))))))))))))), 2'(2(2(2(0(1(2(1(2(1(1(1(0(1(2(2(x0)))))))))))))))), 2'(2(2(0(1(2(1(2(1(1(1(0(1(2(2(x0))))))))))))))), 2'(2(0(1(2(1(2(1(1(1(0(1(2(2(x0)))))))))))))), 2'(0(1(2(1(2(1(1(1(0(1(2(2(x0))))))))))))), 0'(1(2(1(2(1(1(1(0(1(2(2(x0)))))))))))), 1'(2(1(2(1(1(1(0(1(2(2(x0))))))))))), 2'(1(2(1(1(1(0(1(2(2(x0)))))))))), 1'(2(1(1(1(0(1(2(2(x0))))))))), 2'(1(1(1(0(1(2(2(x0)))))))), 1'(1(1(0(1(2(2(x0))))))), 1'(1(0(1(2(2(x0)))))), 1'(0(1(2(2(x0))))), 0'(1(2(2(x0)))), 1'(2(2(x0))), 2'(2(x0)), 2'(x0)) 0'(c_0(c_2(c_0(c_2(c_2(c_1(c_2(c_1(c_1(c_2(c_1(c_1(c_2(c_1(c_0(c_0(c_0(c_0(c_1(c_1(c_2(c_1(x0))))))))))))))))))))))) -> c7(0'(0(c_1(2(2(1(1(2(2(1(1(2(2(2(2(0(1(2(1(2(1(1(1(0(1(2(2(x0))))))))))))))))))))))))))), 0'(1(2(2(1(1(2(2(1(1(2(2(2(2(0(1(2(1(2(1(1(1(0(1(2(2(x0)))))))))))))))))))))))))), 1'(2(2(1(1(2(2(1(1(2(2(2(2(0(1(2(1(2(1(1(1(0(1(2(2(x0))))))))))))))))))))))))), 2'(2(1(1(2(2(1(1(2(2(2(2(0(1(2(1(2(1(1(1(0(1(2(2(x0)))))))))))))))))))))))), 2'(1(1(2(2(1(1(2(2(2(2(0(1(2(1(2(1(1(1(0(1(2(2(x0))))))))))))))))))))))), 1'(1(2(2(1(1(2(2(2(2(0(1(2(1(2(1(1(1(0(1(2(2(x0)))))))))))))))))))))), 1'(2(2(1(1(2(2(2(2(0(1(2(1(2(1(1(1(0(1(2(2(x0))))))))))))))))))))), 2'(2(1(1(2(2(2(2(0(1(2(1(2(1(1(1(0(1(2(2(x0)))))))))))))))))))), 2'(1(1(2(2(2(2(0(1(2(1(2(1(1(1(0(1(2(2(x0))))))))))))))))))), 1'(1(2(2(2(2(0(1(2(1(2(1(1(1(0(1(2(2(x0)))))))))))))))))), 1'(2(2(2(2(0(1(2(1(2(1(1(1(0(1(2(2(x0))))))))))))))))), 2'(2(2(2(0(1(2(1(2(1(1(1(0(1(2(2(x0)))))))))))))))), 2'(2(2(0(1(2(1(2(1(1(1(0(1(2(2(x0))))))))))))))), 2'(2(0(1(2(1(2(1(1(1(0(1(2(2(x0)))))))))))))), 2'(0(1(2(1(2(1(1(1(0(1(2(2(x0))))))))))))), 0'(1(2(1(2(1(1(1(0(1(2(2(x0)))))))))))), 1'(2(1(2(1(1(1(0(1(2(2(x0))))))))))), 2'(1(2(1(1(1(0(1(2(2(x0)))))))))), 1'(2(1(1(1(0(1(2(2(x0))))))))), 2'(1(1(1(0(1(2(2(x0)))))))), 1'(1(1(0(1(2(2(x0))))))), 1'(1(0(1(2(2(x0)))))), 1'(0(1(2(2(x0))))), 0'(1(2(2(x0)))), 1'(2(2(x0))), 2'(2(x0)), 2'(x0)) 0'(c_0(c_2(c_0(c_2(c_2(c_1(c_2(c_1(c_1(c_2(c_1(c_1(c_2(c_1(c_0(c_0(c_0(c_0(c_1(c_1(c_2(c_1(x0))))))))))))))))))))))) -> c7(0'(0(1(c_2(2(1(1(2(2(1(1(2(2(2(2(0(1(2(1(2(1(1(1(0(1(2(2(x0))))))))))))))))))))))))))), 0'(1(2(2(1(1(2(2(1(1(2(2(2(2(0(1(2(1(2(1(1(1(0(1(2(2(x0)))))))))))))))))))))))))), 1'(2(2(1(1(2(2(1(1(2(2(2(2(0(1(2(1(2(1(1(1(0(1(2(2(x0))))))))))))))))))))))))), 2'(2(1(1(2(2(1(1(2(2(2(2(0(1(2(1(2(1(1(1(0(1(2(2(x0)))))))))))))))))))))))), 2'(1(1(2(2(1(1(2(2(2(2(0(1(2(1(2(1(1(1(0(1(2(2(x0))))))))))))))))))))))), 1'(1(2(2(1(1(2(2(2(2(0(1(2(1(2(1(1(1(0(1(2(2(x0)))))))))))))))))))))), 1'(2(2(1(1(2(2(2(2(0(1(2(1(2(1(1(1(0(1(2(2(x0))))))))))))))))))))), 2'(2(1(1(2(2(2(2(0(1(2(1(2(1(1(1(0(1(2(2(x0)))))))))))))))))))), 2'(1(1(2(2(2(2(0(1(2(1(2(1(1(1(0(1(2(2(x0))))))))))))))))))), 1'(1(2(2(2(2(0(1(2(1(2(1(1(1(0(1(2(2(x0)))))))))))))))))), 1'(2(2(2(2(0(1(2(1(2(1(1(1(0(1(2(2(x0))))))))))))))))), 2'(2(2(2(0(1(2(1(2(1(1(1(0(1(2(2(x0)))))))))))))))), 2'(2(2(0(1(2(1(2(1(1(1(0(1(2(2(x0))))))))))))))), 2'(2(0(1(2(1(2(1(1(1(0(1(2(2(x0)))))))))))))), 2'(0(1(2(1(2(1(1(1(0(1(2(2(x0))))))))))))), 0'(1(2(1(2(1(1(1(0(1(2(2(x0)))))))))))), 1'(2(1(2(1(1(1(0(1(2(2(x0))))))))))), 2'(1(2(1(1(1(0(1(2(2(x0)))))))))), 1'(2(1(1(1(0(1(2(2(x0))))))))), 2'(1(1(1(0(1(2(2(x0)))))))), 1'(1(1(0(1(2(2(x0))))))), 1'(1(0(1(2(2(x0)))))), 1'(0(1(2(2(x0))))), 0'(1(2(2(x0)))), 1'(2(2(x0))), 2'(2(x0)), 2'(x0)) 0'(c_0(c_2(c_0(c_2(c_2(c_1(c_2(c_1(c_1(c_2(c_1(c_1(c_2(c_1(c_0(c_0(c_0(c_0(c_1(c_1(c_2(c_1(x0))))))))))))))))))))))) -> 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2'(2(0(0(0(0(2(1(2(2(2(2(1(2(2(2(0(0(2(2(z0)))))))))))))))))))), 2'(0(0(0(0(2(1(2(2(2(2(1(2(2(2(0(0(2(2(z0))))))))))))))))))), 0'(0(0(0(2(1(2(2(2(2(1(2(2(2(0(0(2(2(z0)))))))))))))))))), 0'(0(0(2(1(2(2(2(2(1(2(2(2(0(0(2(2(z0))))))))))))))))), 0'(0(2(1(2(2(2(2(1(2(2(2(0(0(2(2(z0)))))))))))))))), 0'(2(1(2(2(2(2(1(2(2(2(0(0(2(2(z0))))))))))))))), 2'(1(2(2(2(2(1(2(2(2(0(0(2(2(z0)))))))))))))), 1'(2(2(2(2(1(2(2(2(0(0(2(2(z0))))))))))))), 2'(2(2(2(1(2(2(2(0(0(2(2(z0)))))))))))), 2'(2(2(1(2(2(2(0(0(2(2(z0))))))))))), 2'(2(1(2(2(2(0(0(2(2(z0)))))))))), 2'(1(2(2(2(0(0(2(2(z0))))))))), 1'(2(2(2(0(0(2(2(z0)))))))), 2'(2(2(0(0(2(2(z0))))))), 2'(2(0(0(2(2(z0)))))), 2'(0(0(2(2(z0))))), 0'(0(2(2(z0)))), 0'(2(2(z0))), 2'(2(z0)), 2'(z0)) 1'(c_1(c_2(c_2(c_1(c_0(c_2(c_0(c_1(c_1(c_2(c_2(c_2(c_1(c_0(c_1(c_0(c_0(c_2(c_1(c_1(c_0(c_2(z0))))))))))))))))))))))) -> c21(2'(2(2(1(1(2(2(2(1(2(2(0(0(2(0(0(1(2(0(2(2(1(2(2(2(0(2(z0))))))))))))))))))))))))))), 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2'(1(0(2(2(2(1(2(1(1(0(0(1(0(2(c_1(c_2(c_1(c_0(c_2(c_1(c_2(c_0(c_0(c_0(c_0(c_2(c_0(c_0(c_0(c_2(c_2(c_0(c_0(c_0(c_0(c_1(z0))))))))))))))))))))))))))))))))))))), 1'(0(2(2(2(1(2(1(1(0(0(1(0(2(c_1(c_2(c_1(c_0(c_2(c_1(c_2(c_0(c_0(c_0(c_0(c_2(c_0(c_0(c_0(c_2(c_2(c_0(c_0(c_0(c_0(c_1(z0)))))))))))))))))))))))))))))))))))), 0'(2(2(2(1(2(1(1(0(0(1(0(2(c_1(c_2(c_1(c_0(c_2(c_1(c_2(c_0(c_0(c_0(c_0(c_2(c_0(c_0(c_0(c_2(c_2(c_0(c_0(c_0(c_0(c_1(z0))))))))))))))))))))))))))))))))))), 2'(2(2(1(2(1(1(0(0(1(0(2(c_1(c_2(c_1(c_0(c_2(c_1(c_2(c_0(c_0(c_0(c_0(c_2(c_0(c_0(c_0(c_2(c_2(c_0(c_0(c_0(c_0(c_1(z0)))))))))))))))))))))))))))))))))), 2'(2(1(2(1(1(0(0(1(0(2(c_1(c_2(c_1(c_0(c_2(c_1(c_2(c_0(c_0(c_0(c_0(c_2(c_0(c_0(c_0(c_2(c_2(c_0(c_0(c_0(c_0(c_1(z0))))))))))))))))))))))))))))))))), 2'(1(2(1(1(0(0(1(0(2(c_1(c_2(c_1(c_0(c_2(c_1(c_2(c_0(c_0(c_0(c_0(c_2(c_0(c_0(c_0(c_2(c_2(c_0(c_0(c_0(c_0(c_1(z0)))))))))))))))))))))))))))))))), 1'(2(1(1(0(0(1(0(2(c_1(c_2(c_1(c_0(c_2(c_1(c_2(c_0(c_0(c_0(c_0(c_2(c_0(c_0(c_0(c_2(c_2(c_0(c_0(c_0(c_0(c_1(z0))))))))))))))))))))))))))))))), 2'(1(1(0(0(1(0(2(c_1(c_2(c_1(c_0(c_2(c_1(c_2(c_0(c_0(c_0(c_0(c_2(c_0(c_0(c_0(c_2(c_2(c_0(c_0(c_0(c_0(c_1(z0)))))))))))))))))))))))))))))), 1'(1(0(0(1(0(2(c_1(c_2(c_1(c_0(c_2(c_1(c_2(c_0(c_0(c_0(c_0(c_2(c_0(c_0(c_0(c_2(c_2(c_0(c_0(c_0(c_0(c_1(z0))))))))))))))))))))))))))))), 1'(0(0(1(0(2(c_1(c_2(c_1(c_0(c_2(c_1(c_2(c_0(c_0(c_0(c_0(c_2(c_0(c_0(c_0(c_2(c_2(c_0(c_0(c_0(c_0(c_1(z0)))))))))))))))))))))))))))), 0'(0(1(0(2(c_1(c_2(c_1(c_0(c_2(c_1(c_2(c_0(c_0(c_0(c_0(c_2(c_0(c_0(c_0(c_2(c_2(c_0(c_0(c_0(c_0(c_1(z0))))))))))))))))))))))))))), 0'(1(0(2(c_1(c_2(c_1(c_0(c_2(c_1(c_2(c_0(c_0(c_0(c_0(c_2(c_0(c_0(c_0(c_2(c_2(c_0(c_0(c_0(c_0(c_1(z0)))))))))))))))))))))))))), 1'(0(2(c_1(c_2(c_1(c_0(c_2(c_1(c_2(c_0(c_0(c_0(c_0(c_2(c_0(c_0(c_0(c_2(c_2(c_0(c_0(c_0(c_0(c_1(z0))))))))))))))))))))))))), 0'(2(c_1(c_2(c_1(c_0(c_2(c_1(c_2(c_0(c_0(c_0(c_0(c_2(c_0(c_0(c_0(c_2(c_2(c_0(c_0(c_0(c_0(c_1(z0)))))))))))))))))))))))), 2'(c_1(c_2(c_1(c_0(c_2(c_1(c_2(c_0(c_0(c_0(c_0(c_2(c_0(c_0(c_0(c_2(c_2(c_0(c_0(c_0(c_0(c_1(z0)))))))))))))))))))))))) K tuples:none Defined Rule Symbols: encArg_1, 0_1, 1_1, 2_1 Defined Pair Symbols: 0'_1, 1'_1, 2'_1, ENCODE_0_1, ENCODE_1_1, ENCODE_2_1, ENCARG_1 Compound Symbols: c12_27, c13_27, c14_27, c15_27, c16_27, c18_27, c19_27, c20_27, c21_27, c22_27, c23_27, c24_27, c25_27, c26_27, c27_27, c28_27, c30_27, c31_27, c32_27, c33_27, c34_27, c35_27, c36_27, c37_27, c38_27, c39_27, c40_27, c41_27, c42_27, c43_27, c44_27, c45_27, c46_27, c47_27, c48_27, c6_1, c_2, c1_2, c2_2, c7_27, c8_27, c8_26, c9_27, c9_26, c10_27, c11_27 ---------------------------------------- (69) CdtRhsSimplificationProcessorProof (BOTH BOUNDS(ID, ID)) Removed 1 trailing tuple parts ---------------------------------------- (70) Obligation: Complexity Dependency Tuples Problem Rules: encArg(cons_0(z0)) -> 0(encArg(z0)) encArg(cons_1(z0)) -> 1(encArg(z0)) encArg(cons_2(z0)) -> 2(encArg(z0)) 0(z0) -> c_0(z0) 0(c_0(c_2(c_0(c_2(c_2(c_1(c_2(c_1(c_1(c_2(c_1(c_1(c_2(c_1(c_0(c_0(c_0(c_0(c_1(c_1(c_2(c_1(z0))))))))))))))))))))))) -> 0(0(1(2(2(1(1(2(2(1(1(2(2(2(2(0(1(2(1(2(1(1(1(0(1(2(2(z0))))))))))))))))))))))))))) 0(c_1(c_1(c_1(c_2(c_2(c_1(c_0(c_0(c_2(c_2(c_2(c_2(c_0(c_2(c_0(c_0(c_0(c_0(c_1(c_0(c_0(c_2(z0))))))))))))))))))))))) -> 0(2(1(1(1(1(2(2(1(1(0(1(1(2(1(2(1(0(0(1(2(2(1(0(0(2(2(z0))))))))))))))))))))))))))) 0(c_1(c_1(c_0(c_1(c_1(c_1(c_2(c_2(c_0(c_2(c_0(c_1(c_2(c_2(c_2(c_0(c_1(c_2(c_0(c_1(c_0(c_2(z0))))))))))))))))))))))) -> 0(2(0(1(0(2(0(2(2(2(1(2(1(1(2(2(2(2(2(2(2(1(0(0(0(2(2(z0))))))))))))))))))))))))))) 0(c_1(c_0(c_0(c_1(c_2(c_2(c_1(c_0(c_1(c_2(c_1(c_2(c_0(c_1(c_0(c_2(c_2(c_0(c_1(c_2(c_1(c_0(z0))))))))))))))))))))))) -> 0(0(0(1(2(2(2(2(2(2(2(0(0(0(0(1(2(1(2(2(2(1(0(2(0(2(0(z0))))))))))))))))))))))))))) 0(c_0(c_1(c_2(c_0(c_1(c_0(c_0(c_2(c_0(c_1(c_1(c_0(c_1(c_2(c_1(c_1(c_2(c_2(c_1(c_1(c_0(c_2(z0))))))))))))))))))))))) -> 0(2(2(2(0(1(1(2(1(2(2(1(2(1(0(2(2(2(1(2(1(1(0(0(1(0(2(z0))))))))))))))))))))))))))) 0(c_1(c_1(c_1(c_1(c_2(c_1(c_1(c_2(c_2(c_0(c_1(c_0(c_1(c_1(c_0(c_2(c_0(c_0(c_2(c_0(c_1(c_0(z0))))))))))))))))))))))) -> 2(2(2(2(2(1(0(1(2(2(0(1(1(1(2(2(1(1(0(0(0(0(2(2(1(2(2(z0))))))))))))))))))))))))))) 0(c_1(c_2(c_1(c_1(c_2(c_2(c_2(c_1(c_1(c_0(c_0(c_1(c_0(c_2(c_0(c_2(c_2(c_1(c_0(c_2(c_1(c_1(z0))))))))))))))))))))))) -> 2(1(2(1(2(1(2(2(0(2(0(1(2(1(2(1(2(0(1(2(0(0(2(2(1(1(2(z0))))))))))))))))))))))))))) 0(c_0(c_1(c_0(c_2(c_2(c_1(c_2(c_0(c_0(c_1(c_2(c_0(c_2(c_2(c_2(c_1(c_1(c_2(c_0(c_0(c_2(c_1(z0))))))))))))))))))))))) -> 0(1(1(1(0(2(1(2(1(2(0(1(1(2(1(1(2(2(2(2(2(0(2(2(2(1(2(z0))))))))))))))))))))))))))) 0(c_0(c_0(c_0(c_1(c_0(c_0(c_2(c_2(c_1(c_0(c_2(c_0(c_2(c_1(c_1(c_2(c_1(c_2(c_2(c_0(c_1(c_1(z0))))))))))))))))))))))) -> 0(1(2(0(0(2(1(2(2(1(1(2(1(1(1(1(2(2(2(1(2(1(0(2(1(1(0(z0))))))))))))))))))))))))))) 0(c_0(c_0(c_2(c_2(c_0(c_2(c_2(c_2(c_1(c_1(c_0(c_2(c_2(c_1(c_2(c_1(c_0(c_2(c_0(c_0(c_0(c_1(z0))))))))))))))))))))))) -> 2(0(1(1(1(2(2(1(1(2(2(2(2(1(0(1(2(1(1(2(2(2(1(2(1(2(2(z0))))))))))))))))))))))))))) 1(z0) -> c_1(z0) 1(c_2(c_0(c_0(c_2(c_0(c_1(c_2(c_2(c_0(c_2(c_1(c_2(c_1(c_2(c_0(c_1(c_0(c_1(c_2(c_0(c_2(c_1(z0))))))))))))))))))))))) -> 1(2(2(0(2(1(2(2(0(1(0(2(1(0(1(2(1(2(2(2(2(0(2(2(0(2(0(z0))))))))))))))))))))))))))) 1(c_1(c_0(c_2(c_1(c_2(c_2(c_2(c_2(c_1(c_0(c_1(c_2(c_0(c_1(c_2(c_1(c_1(c_0(c_2(c_1(c_2(c_0(z0))))))))))))))))))))))) -> 2(2(1(2(1(2(2(1(0(1(2(2(2(1(0(2(1(1(2(1(0(1(1(1(2(2(2(z0))))))))))))))))))))))))))) 1(c_1(c_0(c_1(c_2(c_2(c_2(c_2(c_1(c_0(c_2(c_1(c_2(c_0(c_0(c_0(c_1(c_0(c_2(c_1(c_1(c_1(c_2(z0))))))))))))))))))))))) -> 2(1(2(1(2(2(2(2(2(0(0(0(0(2(1(2(2(2(2(1(2(2(2(0(0(2(2(z0))))))))))))))))))))))))))) 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1(2(1(2(0(0(1(1(1(2(2(2(2(1(2(2(2(0(2(0(1(2(2(2(2(0(0(z0))))))))))))))))))))))))))) 1(c_2(c_0(c_2(c_1(c_2(c_2(c_1(c_2(c_2(c_2(c_0(c_1(c_1(c_1(c_1(c_0(c_1(c_0(c_0(c_2(c_0(c_1(z0))))))))))))))))))))))) -> 1(2(1(2(1(2(2(2(2(2(2(0(0(2(0(0(2(2(0(1(1(1(1(0(0(2(1(z0))))))))))))))))))))))))))) 1(c_1(c_0(c_2(c_1(c_0(c_2(c_0(c_1(c_2(c_0(c_2(c_0(c_0(c_2(c_1(c_0(c_1(c_0(c_1(c_2(c_1(c_2(z0))))))))))))))))))))))) -> 2(0(2(2(1(1(1(2(2(0(1(2(0(2(1(1(2(1(0(0(2(0(1(2(2(2(2(z0))))))))))))))))))))))))))) 1(c_1(c_0(c_0(c_1(c_1(c_1(c_2(c_2(c_2(c_1(c_2(c_1(c_0(c_0(c_0(c_2(c_2(c_2(c_0(c_1(c_2(c_0(z0))))))))))))))))))))))) -> 2(1(2(1(2(2(2(1(2(2(0(2(2(1(0(2(1(2(2(0(1(0(1(1(2(2(2(z0))))))))))))))))))))))))))) 2(z0) -> c_2(z0) 2(c_2(c_1(c_1(c_1(c_0(c_0(c_2(c_1(c_0(c_2(c_1(c_2(c_0(c_0(c_2(c_1(c_0(c_1(c_1(c_2(c_2(c_1(z0))))))))))))))))))))))) -> 2(1(2(2(0(1(2(1(1(0(1(2(1(0(0(1(2(2(1(2(1(0(2(1(2(2(1(z0))))))))))))))))))))))))))) 2(c_2(c_1(c_1(c_2(c_0(c_0(c_2(c_2(c_2(c_2(c_1(c_1(c_1(c_1(c_1(c_2(c_1(c_2(c_0(c_0(c_1(c_1(z0))))))))))))))))))))))) -> 2(2(1(1(2(2(1(2(1(2(2(0(0(0(2(1(0(2(2(1(2(2(0(1(1(2(2(z0))))))))))))))))))))))))))) 2(c_1(c_0(c_1(c_0(c_0(c_2(c_2(c_2(c_0(c_1(c_0(c_0(c_2(c_0(c_0(c_1(c_2(c_0(c_2(c_2(c_2(c_0(z0))))))))))))))))))))))) -> 2(1(1(2(0(1(2(0(0(2(0(1(2(2(1(1(1(2(2(2(0(0(1(1(0(2(0(z0))))))))))))))))))))))))))) 2(c_0(c_2(c_0(c_1(c_0(c_1(c_1(c_2(c_0(c_1(c_1(c_2(c_2(c_1(c_0(c_2(c_0(c_2(c_0(c_2(c_2(c_2(z0))))))))))))))))))))))) -> 2(0(0(1(1(2(0(2(2(1(1(2(2(0(1(2(2(2(0(0(2(0(2(2(2(0(2(z0))))))))))))))))))))))))))) 2(c_2(c_0(c_1(c_2(c_2(c_2(c_0(c_2(c_2(c_2(c_0(c_2(c_2(c_2(c_2(c_1(c_0(c_1(c_0(c_0(c_1(c_0(z0))))))))))))))))))))))) -> 2(2(0(1(1(2(2(2(1(1(2(1(0(0(1(2(2(1(2(1(0(2(2(0(0(2(0(z0))))))))))))))))))))))))))) 2(c_2(c_1(c_1(c_1(c_2(c_0(c_1(c_1(c_2(c_2(c_0(c_1(c_1(c_1(c_1(c_1(c_2(c_2(c_2(c_0(c_2(c_1(z0))))))))))))))))))))))) -> 1(2(1(2(2(1(1(1(1(2(2(2(1(2(0(0(0(1(2(0(0(1(2(2(2(2(2(z0))))))))))))))))))))))))))) 2(c_1(c_1(c_0(c_2(c_2(c_2(c_0(c_1(c_2(c_1(c_1(c_0(c_1(c_2(c_0(c_0(c_1(c_1(c_1(c_1(c_2(c_2(z0))))))))))))))))))))))) -> 2(0(0(2(1(0(0(0(0(0(1(2(1(1(2(1(1(2(1(2(2(0(1(1(1(2(2(z0))))))))))))))))))))))))))) 2(c_2(c_1(c_2(c_1(c_2(c_2(c_2(c_0(c_1(c_2(c_1(c_2(c_2(c_2(c_2(c_1(c_1(c_0(c_1(c_0(c_1(c_0(z0))))))))))))))))))))))) -> 1(2(1(2(1(2(0(1(2(2(0(1(1(1(2(2(1(1(1(2(2(0(1(0(1(2(2(z0))))))))))))))))))))))))))) 2(c_0(c_2(c_0(c_1(c_2(c_2(c_0(c_0(c_2(c_2(c_2(c_1(c_1(c_1(c_2(c_1(c_0(c_2(c_0(c_2(c_2(c_0(z0))))))))))))))))))))))) -> 2(1(1(1(2(2(0(0(0(2(1(0(0(0(1(1(0(2(2(0(2(2(2(2(2(2(0(z0))))))))))))))))))))))))))) 2(c_2(c_0(c_0(c_2(c_1(c_2(c_0(c_1(c_2(c_0(c_2(c_1(c_0(c_1(c_1(c_2(c_2(c_1(c_0(c_1(c_0(c_2(z0))))))))))))))))))))))) -> 2(2(2(2(1(2(1(2(0(2(2(2(2(2(0(1(2(0(2(1(0(0(0(2(0(2(2(z0))))))))))))))))))))))))))) 2(c_2(c_2(c_0(c_0(c_1(c_0(c_0(c_2(c_0(c_0(c_2(c_1(c_1(c_2(c_1(c_0(c_1(c_2(c_2(c_2(c_1(c_0(z0))))))))))))))))))))))) -> 1(2(2(2(2(0(1(2(1(2(0(1(2(1(2(1(0(1(0(1(0(1(1(2(2(1(0(z0))))))))))))))))))))))))))) 2(c_1(c_0(c_1(c_1(c_2(c_0(c_0(c_2(c_1(c_0(c_0(c_0(c_1(c_2(c_1(c_1(c_2(c_0(c_2(c_1(c_2(c_1(z0))))))))))))))))))))))) -> 2(0(2(2(0(0(2(2(1(1(1(2(0(1(0(1(2(2(2(2(2(0(0(0(2(2(1(z0))))))))))))))))))))))))))) 2(c_2(c_1(c_2(c_2(c_0(c_0(c_2(c_1(c_1(c_0(c_2(c_2(c_0(c_2(c_2(c_0(c_2(c_2(c_1(c_2(c_0(c_2(z0))))))))))))))))))))))) -> 1(2(1(1(1(2(2(2(1(2(1(0(2(1(1(1(1(2(2(0(0(1(1(0(2(1(2(z0))))))))))))))))))))))))))) 2(c_2(c_0(c_0(c_1(c_2(c_1(c_1(c_2(c_1(c_0(c_0(c_0(c_0(c_0(c_2(c_1(c_2(c_1(c_1(c_2(c_0(c_2(z0))))))))))))))))))))))) -> 2(1(1(2(2(2(2(1(2(1(0(0(2(1(0(2(2(0(1(1(0(2(0(0(0(0(2(z0))))))))))))))))))))))))))) 2(c_0(c_1(c_0(c_0(c_0(c_1(c_0(c_0(c_0(c_0(c_0(c_0(c_0(c_1(c_0(c_2(c_0(c_0(c_2(c_2(c_2(c_2(z0))))))))))))))))))))))) -> 2(2(2(1(1(2(1(2(0(1(1(2(1(0(2(1(0(0(1(0(1(1(2(1(2(2(2(z0))))))))))))))))))))))))))) 2(c_2(c_0(c_0(c_1(c_0(c_1(c_2(c_2(c_2(c_1(c_1(c_0(c_0(c_1(c_2(c_2(c_1(c_2(c_0(c_1(c_2(c_1(z0))))))))))))))))))))))) -> 2(2(2(2(0(2(0(2(2(1(2(1(0(1(1(2(2(0(0(2(1(2(1(2(1(2(0(z0))))))))))))))))))))))))))) 2(c_2(c_1(c_1(c_2(c_2(c_1(c_2(c_1(c_1(c_1(c_0(c_0(c_2(c_1(c_1(c_0(c_2(c_0(c_0(c_1(c_1(c_2(z0))))))))))))))))))))))) -> 2(1(1(1(2(2(2(1(1(0(2(2(1(0(1(0(2(2(1(2(0(0(0(1(2(1(2(z0))))))))))))))))))))))))))) 2(c_2(c_0(c_1(c_1(c_0(c_0(c_1(c_2(c_1(c_0(c_2(c_1(c_2(c_2(c_2(c_1(c_0(c_0(c_2(c_2(c_2(c_0(z0))))))))))))))))))))))) -> 2(2(1(0(0(0(0(2(2(1(1(2(2(1(0(2(1(2(1(2(2(1(2(2(2(0(0(z0))))))))))))))))))))))))))) 2(c_1(c_2(c_1(c_0(c_2(c_1(c_2(c_0(c_0(c_0(c_0(c_2(c_0(c_0(c_0(c_2(c_2(c_0(c_0(c_0(c_0(c_1(z0))))))))))))))))))))))) -> 2(1(2(1(2(0(0(2(1(0(0(2(2(0(1(0(2(1(2(1(2(2(1(2(1(1(2(z0))))))))))))))))))))))))))) Tuples: 0'(c_1(c_1(c_1(c_1(c_2(c_1(c_1(c_2(c_2(c_0(c_1(c_0(c_1(c_1(c_0(c_2(c_0(c_0(c_2(c_0(c_1(c_0(z0))))))))))))))))))))))) -> c12(2'(2(2(2(2(1(0(1(2(2(0(1(1(1(2(2(1(1(0(0(0(0(2(2(1(2(2(z0))))))))))))))))))))))))))), 2'(2(2(2(1(0(1(2(2(0(1(1(1(2(2(1(1(0(0(0(0(2(2(1(2(2(z0)))))))))))))))))))))))))), 2'(2(2(1(0(1(2(2(0(1(1(1(2(2(1(1(0(0(0(0(2(2(1(2(2(z0))))))))))))))))))))))))), 2'(2(1(0(1(2(2(0(1(1(1(2(2(1(1(0(0(0(0(2(2(1(2(2(z0)))))))))))))))))))))))), 2'(1(0(1(2(2(0(1(1(1(2(2(1(1(0(0(0(0(2(2(1(2(2(z0))))))))))))))))))))))), 1'(0(1(2(2(0(1(1(1(2(2(1(1(0(0(0(0(2(2(1(2(2(z0)))))))))))))))))))))), 0'(1(2(2(0(1(1(1(2(2(1(1(0(0(0(0(2(2(1(2(2(z0))))))))))))))))))))), 1'(2(2(0(1(1(1(2(2(1(1(0(0(0(0(2(2(1(2(2(z0)))))))))))))))))))), 2'(2(0(1(1(1(2(2(1(1(0(0(0(0(2(2(1(2(2(z0))))))))))))))))))), 2'(0(1(1(1(2(2(1(1(0(0(0(0(2(2(1(2(2(z0)))))))))))))))))), 0'(1(1(1(2(2(1(1(0(0(0(0(2(2(1(2(2(z0))))))))))))))))), 1'(1(1(2(2(1(1(0(0(0(0(2(2(1(2(2(z0)))))))))))))))), 1'(1(2(2(1(1(0(0(0(0(2(2(1(2(2(z0))))))))))))))), 1'(2(2(1(1(0(0(0(0(2(2(1(2(2(z0)))))))))))))), 2'(2(1(1(0(0(0(0(2(2(1(2(2(z0))))))))))))), 2'(1(1(0(0(0(0(2(2(1(2(2(z0)))))))))))), 1'(1(0(0(0(0(2(2(1(2(2(z0))))))))))), 1'(0(0(0(0(2(2(1(2(2(z0)))))))))), 0'(0(0(0(2(2(1(2(2(z0))))))))), 0'(0(0(2(2(1(2(2(z0)))))))), 0'(0(2(2(1(2(2(z0))))))), 0'(2(2(1(2(2(z0)))))), 2'(2(1(2(2(z0))))), 2'(1(2(2(z0)))), 1'(2(2(z0))), 2'(2(z0)), 2'(z0)) 0'(c_1(c_2(c_1(c_1(c_2(c_2(c_2(c_1(c_1(c_0(c_0(c_1(c_0(c_2(c_0(c_2(c_2(c_1(c_0(c_2(c_1(c_1(z0))))))))))))))))))))))) -> c13(2'(1(2(1(2(1(2(2(0(2(0(1(2(1(2(1(2(0(1(2(0(0(2(2(1(1(2(z0))))))))))))))))))))))))))), 1'(2(1(2(1(2(2(0(2(0(1(2(1(2(1(2(0(1(2(0(0(2(2(1(1(2(z0)))))))))))))))))))))))))), 2'(1(2(1(2(2(0(2(0(1(2(1(2(1(2(0(1(2(0(0(2(2(1(1(2(z0))))))))))))))))))))))))), 1'(2(1(2(2(0(2(0(1(2(1(2(1(2(0(1(2(0(0(2(2(1(1(2(z0)))))))))))))))))))))))), 2'(1(2(2(0(2(0(1(2(1(2(1(2(0(1(2(0(0(2(2(1(1(2(z0))))))))))))))))))))))), 1'(2(2(0(2(0(1(2(1(2(1(2(0(1(2(0(0(2(2(1(1(2(z0)))))))))))))))))))))), 2'(2(0(2(0(1(2(1(2(1(2(0(1(2(0(0(2(2(1(1(2(z0))))))))))))))))))))), 2'(0(2(0(1(2(1(2(1(2(0(1(2(0(0(2(2(1(1(2(z0)))))))))))))))))))), 0'(2(0(1(2(1(2(1(2(0(1(2(0(0(2(2(1(1(2(z0))))))))))))))))))), 2'(0(1(2(1(2(1(2(0(1(2(0(0(2(2(1(1(2(z0)))))))))))))))))), 0'(1(2(1(2(1(2(0(1(2(0(0(2(2(1(1(2(z0))))))))))))))))), 1'(2(1(2(1(2(0(1(2(0(0(2(2(1(1(2(z0)))))))))))))))), 2'(1(2(1(2(0(1(2(0(0(2(2(1(1(2(z0))))))))))))))), 1'(2(1(2(0(1(2(0(0(2(2(1(1(2(z0)))))))))))))), 2'(1(2(0(1(2(0(0(2(2(1(1(2(z0))))))))))))), 1'(2(0(1(2(0(0(2(2(1(1(2(z0)))))))))))), 2'(0(1(2(0(0(2(2(1(1(2(z0))))))))))), 0'(1(2(0(0(2(2(1(1(2(z0)))))))))), 1'(2(0(0(2(2(1(1(2(z0))))))))), 2'(0(0(2(2(1(1(2(z0)))))))), 0'(0(2(2(1(1(2(z0))))))), 0'(2(2(1(1(2(z0)))))), 2'(2(1(1(2(z0))))), 2'(1(1(2(z0)))), 1'(1(2(z0))), 1'(2(z0)), 2'(z0)) 0'(c_0(c_1(c_0(c_2(c_2(c_1(c_2(c_0(c_0(c_1(c_2(c_0(c_2(c_2(c_2(c_1(c_1(c_2(c_0(c_0(c_2(c_1(z0))))))))))))))))))))))) -> c14(0'(1(1(1(0(2(1(2(1(2(0(1(1(2(1(1(2(2(2(2(2(0(2(2(2(1(2(z0))))))))))))))))))))))))))), 1'(1(1(0(2(1(2(1(2(0(1(1(2(1(1(2(2(2(2(2(0(2(2(2(1(2(z0)))))))))))))))))))))))))), 1'(1(0(2(1(2(1(2(0(1(1(2(1(1(2(2(2(2(2(0(2(2(2(1(2(z0))))))))))))))))))))))))), 1'(0(2(1(2(1(2(0(1(1(2(1(1(2(2(2(2(2(0(2(2(2(1(2(z0)))))))))))))))))))))))), 0'(2(1(2(1(2(0(1(1(2(1(1(2(2(2(2(2(0(2(2(2(1(2(z0))))))))))))))))))))))), 2'(1(2(1(2(0(1(1(2(1(1(2(2(2(2(2(0(2(2(2(1(2(z0)))))))))))))))))))))), 1'(2(1(2(0(1(1(2(1(1(2(2(2(2(2(0(2(2(2(1(2(z0))))))))))))))))))))), 2'(1(2(0(1(1(2(1(1(2(2(2(2(2(0(2(2(2(1(2(z0)))))))))))))))))))), 1'(2(0(1(1(2(1(1(2(2(2(2(2(0(2(2(2(1(2(z0))))))))))))))))))), 2'(0(1(1(2(1(1(2(2(2(2(2(0(2(2(2(1(2(z0)))))))))))))))))), 0'(1(1(2(1(1(2(2(2(2(2(0(2(2(2(1(2(z0))))))))))))))))), 1'(1(2(1(1(2(2(2(2(2(0(2(2(2(1(2(z0)))))))))))))))), 1'(2(1(1(2(2(2(2(2(0(2(2(2(1(2(z0))))))))))))))), 2'(1(1(2(2(2(2(2(0(2(2(2(1(2(z0)))))))))))))), 1'(1(2(2(2(2(2(0(2(2(2(1(2(z0))))))))))))), 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c24(1'(2(0(0(1(1(2(2(1(2(0(2(2(0(1(1(2(2(2(1(2(2(2(2(2(1(2(z0))))))))))))))))))))))))))), 2'(0(0(1(1(2(2(1(2(0(2(2(0(1(1(2(2(2(1(2(2(2(2(2(1(2(z0)))))))))))))))))))))))))), 0'(0(1(1(2(2(1(2(0(2(2(0(1(1(2(2(2(1(2(2(2(2(2(1(2(z0))))))))))))))))))))))))), 0'(1(1(2(2(1(2(0(2(2(0(1(1(2(2(2(1(2(2(2(2(2(1(2(z0)))))))))))))))))))))))), 1'(1(2(2(1(2(0(2(2(0(1(1(2(2(2(1(2(2(2(2(2(1(2(z0))))))))))))))))))))))), 1'(2(2(1(2(0(2(2(0(1(1(2(2(2(1(2(2(2(2(2(1(2(z0)))))))))))))))))))))), 2'(2(1(2(0(2(2(0(1(1(2(2(2(1(2(2(2(2(2(1(2(z0))))))))))))))))))))), 2'(1(2(0(2(2(0(1(1(2(2(2(1(2(2(2(2(2(1(2(z0)))))))))))))))))))), 1'(2(0(2(2(0(1(1(2(2(2(1(2(2(2(2(2(1(2(z0))))))))))))))))))), 2'(0(2(2(0(1(1(2(2(2(1(2(2(2(2(2(1(2(z0)))))))))))))))))), 0'(2(2(0(1(1(2(2(2(1(2(2(2(2(2(1(2(z0))))))))))))))))), 2'(2(0(1(1(2(2(2(1(2(2(2(2(2(1(2(z0)))))))))))))))), 2'(0(1(1(2(2(2(1(2(2(2(2(2(1(2(z0))))))))))))))), 0'(1(1(2(2(2(1(2(2(2(2(2(1(2(z0)))))))))))))), 1'(1(2(2(2(1(2(2(2(2(2(1(2(z0))))))))))))), 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1'(1(2(2(2(2(1(2(2(2(0(2(0(1(2(2(2(2(0(0(z0)))))))))))))))))))), 1'(2(2(2(2(1(2(2(2(0(2(0(1(2(2(2(2(0(0(z0))))))))))))))))))), 2'(2(2(2(1(2(2(2(0(2(0(1(2(2(2(2(0(0(z0)))))))))))))))))), 2'(2(2(1(2(2(2(0(2(0(1(2(2(2(2(0(0(z0))))))))))))))))), 2'(2(1(2(2(2(0(2(0(1(2(2(2(2(0(0(z0)))))))))))))))), 2'(1(2(2(2(0(2(0(1(2(2(2(2(0(0(z0))))))))))))))), 1'(2(2(2(0(2(0(1(2(2(2(2(0(0(z0)))))))))))))), 2'(2(2(0(2(0(1(2(2(2(2(0(0(z0))))))))))))), 2'(2(0(2(0(1(2(2(2(2(0(0(z0)))))))))))), 2'(0(2(0(1(2(2(2(2(0(0(z0))))))))))), 0'(2(0(1(2(2(2(2(0(0(z0)))))))))), 2'(0(1(2(2(2(2(0(0(z0))))))))), 0'(1(2(2(2(2(0(0(z0)))))))), 1'(2(2(2(2(0(0(z0))))))), 2'(2(2(2(0(0(z0)))))), 2'(2(2(0(0(z0))))), 2'(2(0(0(z0)))), 2'(0(0(z0))), 0'(0(z0)), 0'(z0)) 1'(c_2(c_0(c_2(c_1(c_2(c_2(c_1(c_2(c_2(c_2(c_0(c_1(c_1(c_1(c_1(c_0(c_1(c_0(c_0(c_2(c_0(c_1(z0))))))))))))))))))))))) -> c26(1'(2(1(2(1(2(2(2(2(2(2(0(0(2(0(0(2(2(0(1(1(1(1(0(0(2(1(z0))))))))))))))))))))))))))), 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2'(1(2(2(2(0(0(z0))))))), 1'(2(2(2(0(0(z0)))))), 2'(2(2(0(0(z0))))), 2'(2(0(0(z0)))), 2'(0(0(z0))), 0'(0(z0)), 0'(z0)) 2'(c_1(c_2(c_1(c_0(c_2(c_1(c_2(c_0(c_0(c_0(c_0(c_2(c_0(c_0(c_0(c_2(c_2(c_0(c_0(c_0(c_0(c_1(z0))))))))))))))))))))))) -> c48(2'(1(2(1(2(0(0(2(1(0(0(2(2(0(1(0(2(1(2(1(2(2(1(2(1(1(2(z0))))))))))))))))))))))))))), 1'(2(1(2(0(0(2(1(0(0(2(2(0(1(0(2(1(2(1(2(2(1(2(1(1(2(z0)))))))))))))))))))))))))), 2'(1(2(0(0(2(1(0(0(2(2(0(1(0(2(1(2(1(2(2(1(2(1(1(2(z0))))))))))))))))))))))))), 1'(2(0(0(2(1(0(0(2(2(0(1(0(2(1(2(1(2(2(1(2(1(1(2(z0)))))))))))))))))))))))), 2'(0(0(2(1(0(0(2(2(0(1(0(2(1(2(1(2(2(1(2(1(1(2(z0))))))))))))))))))))))), 0'(0(2(1(0(0(2(2(0(1(0(2(1(2(1(2(2(1(2(1(1(2(z0)))))))))))))))))))))), 0'(2(1(0(0(2(2(0(1(0(2(1(2(1(2(2(1(2(1(1(2(z0))))))))))))))))))))), 2'(1(0(0(2(2(0(1(0(2(1(2(1(2(2(1(2(1(1(2(z0)))))))))))))))))))), 1'(0(0(2(2(0(1(0(2(1(2(1(2(2(1(2(1(1(2(z0))))))))))))))))))), 0'(0(2(2(0(1(0(2(1(2(1(2(2(1(2(1(1(2(z0)))))))))))))))))), 0'(2(2(0(1(0(2(1(2(1(2(2(1(2(1(1(2(z0))))))))))))))))), 2'(2(0(1(0(2(1(2(1(2(2(1(2(1(1(2(z0)))))))))))))))), 2'(0(1(0(2(1(2(1(2(2(1(2(1(1(2(z0))))))))))))))), 0'(1(0(2(1(2(1(2(2(1(2(1(1(2(z0)))))))))))))), 1'(0(2(1(2(1(2(2(1(2(1(1(2(z0))))))))))))), 0'(2(1(2(1(2(2(1(2(1(1(2(z0)))))))))))), 2'(1(2(1(2(2(1(2(1(1(2(z0))))))))))), 1'(2(1(2(2(1(2(1(1(2(z0)))))))))), 2'(1(2(2(1(2(1(1(2(z0))))))))), 1'(2(2(1(2(1(1(2(z0)))))))), 2'(2(1(2(1(1(2(z0))))))), 2'(1(2(1(1(2(z0)))))), 1'(2(1(1(2(z0))))), 2'(1(1(2(z0)))), 1'(1(2(z0))), 1'(2(z0)), 2'(z0)) ENCODE_0(z0) -> c6(0'(encArg(z0))) ENCODE_1(z0) -> c6(1'(encArg(z0))) ENCODE_2(z0) -> c6(2'(encArg(z0))) ENCARG(cons_0(cons_0(z0))) -> c(0'(0(encArg(z0))), ENCARG(cons_0(z0))) ENCARG(cons_0(cons_1(z0))) -> c(0'(1(encArg(z0))), ENCARG(cons_1(z0))) ENCARG(cons_0(cons_2(z0))) -> c(0'(2(encArg(z0))), ENCARG(cons_2(z0))) ENCARG(cons_1(cons_0(z0))) -> c1(1'(0(encArg(z0))), ENCARG(cons_0(z0))) ENCARG(cons_1(cons_1(z0))) -> c1(1'(1(encArg(z0))), ENCARG(cons_1(z0))) ENCARG(cons_1(cons_2(z0))) -> c1(1'(2(encArg(z0))), ENCARG(cons_2(z0))) ENCARG(cons_2(cons_0(z0))) -> c2(2'(0(encArg(z0))), ENCARG(cons_0(z0))) ENCARG(cons_2(cons_1(z0))) -> c2(2'(1(encArg(z0))), ENCARG(cons_1(z0))) ENCARG(cons_2(cons_2(z0))) -> c2(2'(2(encArg(z0))), ENCARG(cons_2(z0))) 0'(c_0(c_2(c_0(c_2(c_2(c_1(c_2(c_1(c_1(c_2(c_1(c_1(c_2(c_1(c_0(c_0(c_0(c_0(c_1(c_1(c_2(c_1(x0))))))))))))))))))))))) -> c7(0'(c_0(1(2(2(1(1(2(2(1(1(2(2(2(2(0(1(2(1(2(1(1(1(0(1(2(2(x0))))))))))))))))))))))))))), 0'(1(2(2(1(1(2(2(1(1(2(2(2(2(0(1(2(1(2(1(1(1(0(1(2(2(x0)))))))))))))))))))))))))), 1'(2(2(1(1(2(2(1(1(2(2(2(2(0(1(2(1(2(1(1(1(0(1(2(2(x0))))))))))))))))))))))))), 2'(2(1(1(2(2(1(1(2(2(2(2(0(1(2(1(2(1(1(1(0(1(2(2(x0)))))))))))))))))))))))), 2'(1(1(2(2(1(1(2(2(2(2(0(1(2(1(2(1(1(1(0(1(2(2(x0))))))))))))))))))))))), 1'(1(2(2(1(1(2(2(2(2(0(1(2(1(2(1(1(1(0(1(2(2(x0)))))))))))))))))))))), 1'(2(2(1(1(2(2(2(2(0(1(2(1(2(1(1(1(0(1(2(2(x0))))))))))))))))))))), 2'(2(1(1(2(2(2(2(0(1(2(1(2(1(1(1(0(1(2(2(x0)))))))))))))))))))), 2'(1(1(2(2(2(2(0(1(2(1(2(1(1(1(0(1(2(2(x0))))))))))))))))))), 1'(1(2(2(2(2(0(1(2(1(2(1(1(1(0(1(2(2(x0)))))))))))))))))), 1'(2(2(2(2(0(1(2(1(2(1(1(1(0(1(2(2(x0))))))))))))))))), 2'(2(2(2(0(1(2(1(2(1(1(1(0(1(2(2(x0)))))))))))))))), 2'(2(2(0(1(2(1(2(1(1(1(0(1(2(2(x0))))))))))))))), 2'(2(0(1(2(1(2(1(1(1(0(1(2(2(x0)))))))))))))), 2'(0(1(2(1(2(1(1(1(0(1(2(2(x0))))))))))))), 0'(1(2(1(2(1(1(1(0(1(2(2(x0)))))))))))), 1'(2(1(2(1(1(1(0(1(2(2(x0))))))))))), 2'(1(2(1(1(1(0(1(2(2(x0)))))))))), 1'(2(1(1(1(0(1(2(2(x0))))))))), 2'(1(1(1(0(1(2(2(x0)))))))), 1'(1(1(0(1(2(2(x0))))))), 1'(1(0(1(2(2(x0)))))), 1'(0(1(2(2(x0))))), 0'(1(2(2(x0)))), 1'(2(2(x0))), 2'(2(x0)), 2'(x0)) 0'(c_0(c_2(c_0(c_2(c_2(c_1(c_2(c_1(c_1(c_2(c_1(c_1(c_2(c_1(c_0(c_0(c_0(c_0(c_1(c_1(c_2(c_1(x0))))))))))))))))))))))) -> c7(0'(0(c_1(2(2(1(1(2(2(1(1(2(2(2(2(0(1(2(1(2(1(1(1(0(1(2(2(x0))))))))))))))))))))))))))), 0'(1(2(2(1(1(2(2(1(1(2(2(2(2(0(1(2(1(2(1(1(1(0(1(2(2(x0)))))))))))))))))))))))))), 1'(2(2(1(1(2(2(1(1(2(2(2(2(0(1(2(1(2(1(1(1(0(1(2(2(x0))))))))))))))))))))))))), 2'(2(1(1(2(2(1(1(2(2(2(2(0(1(2(1(2(1(1(1(0(1(2(2(x0)))))))))))))))))))))))), 2'(1(1(2(2(1(1(2(2(2(2(0(1(2(1(2(1(1(1(0(1(2(2(x0))))))))))))))))))))))), 1'(1(2(2(1(1(2(2(2(2(0(1(2(1(2(1(1(1(0(1(2(2(x0)))))))))))))))))))))), 1'(2(2(1(1(2(2(2(2(0(1(2(1(2(1(1(1(0(1(2(2(x0))))))))))))))))))))), 2'(2(1(1(2(2(2(2(0(1(2(1(2(1(1(1(0(1(2(2(x0)))))))))))))))))))), 2'(1(1(2(2(2(2(0(1(2(1(2(1(1(1(0(1(2(2(x0))))))))))))))))))), 1'(1(2(2(2(2(0(1(2(1(2(1(1(1(0(1(2(2(x0)))))))))))))))))), 1'(2(2(2(2(0(1(2(1(2(1(1(1(0(1(2(2(x0))))))))))))))))), 2'(2(2(2(0(1(2(1(2(1(1(1(0(1(2(2(x0)))))))))))))))), 2'(2(2(0(1(2(1(2(1(1(1(0(1(2(2(x0))))))))))))))), 2'(2(0(1(2(1(2(1(1(1(0(1(2(2(x0)))))))))))))), 2'(0(1(2(1(2(1(1(1(0(1(2(2(x0))))))))))))), 0'(1(2(1(2(1(1(1(0(1(2(2(x0)))))))))))), 1'(2(1(2(1(1(1(0(1(2(2(x0))))))))))), 2'(1(2(1(1(1(0(1(2(2(x0)))))))))), 1'(2(1(1(1(0(1(2(2(x0))))))))), 2'(1(1(1(0(1(2(2(x0)))))))), 1'(1(1(0(1(2(2(x0))))))), 1'(1(0(1(2(2(x0)))))), 1'(0(1(2(2(x0))))), 0'(1(2(2(x0)))), 1'(2(2(x0))), 2'(2(x0)), 2'(x0)) 0'(c_0(c_2(c_0(c_2(c_2(c_1(c_2(c_1(c_1(c_2(c_1(c_1(c_2(c_1(c_0(c_0(c_0(c_0(c_1(c_1(c_2(c_1(x0))))))))))))))))))))))) -> c7(0'(0(1(c_2(2(1(1(2(2(1(1(2(2(2(2(0(1(2(1(2(1(1(1(0(1(2(2(x0))))))))))))))))))))))))))), 0'(1(2(2(1(1(2(2(1(1(2(2(2(2(0(1(2(1(2(1(1(1(0(1(2(2(x0)))))))))))))))))))))))))), 1'(2(2(1(1(2(2(1(1(2(2(2(2(0(1(2(1(2(1(1(1(0(1(2(2(x0))))))))))))))))))))))))), 2'(2(1(1(2(2(1(1(2(2(2(2(0(1(2(1(2(1(1(1(0(1(2(2(x0)))))))))))))))))))))))), 2'(1(1(2(2(1(1(2(2(2(2(0(1(2(1(2(1(1(1(0(1(2(2(x0))))))))))))))))))))))), 1'(1(2(2(1(1(2(2(2(2(0(1(2(1(2(1(1(1(0(1(2(2(x0)))))))))))))))))))))), 1'(2(2(1(1(2(2(2(2(0(1(2(1(2(1(1(1(0(1(2(2(x0))))))))))))))))))))), 2'(2(1(1(2(2(2(2(0(1(2(1(2(1(1(1(0(1(2(2(x0)))))))))))))))))))), 2'(1(1(2(2(2(2(0(1(2(1(2(1(1(1(0(1(2(2(x0))))))))))))))))))), 1'(1(2(2(2(2(0(1(2(1(2(1(1(1(0(1(2(2(x0)))))))))))))))))), 1'(2(2(2(2(0(1(2(1(2(1(1(1(0(1(2(2(x0))))))))))))))))), 2'(2(2(2(0(1(2(1(2(1(1(1(0(1(2(2(x0)))))))))))))))), 2'(2(2(0(1(2(1(2(1(1(1(0(1(2(2(x0))))))))))))))), 2'(2(0(1(2(1(2(1(1(1(0(1(2(2(x0)))))))))))))), 2'(0(1(2(1(2(1(1(1(0(1(2(2(x0))))))))))))), 0'(1(2(1(2(1(1(1(0(1(2(2(x0)))))))))))), 1'(2(1(2(1(1(1(0(1(2(2(x0))))))))))), 2'(1(2(1(1(1(0(1(2(2(x0)))))))))), 1'(2(1(1(1(0(1(2(2(x0))))))))), 2'(1(1(1(0(1(2(2(x0)))))))), 1'(1(1(0(1(2(2(x0))))))), 1'(1(0(1(2(2(x0)))))), 1'(0(1(2(2(x0))))), 0'(1(2(2(x0)))), 1'(2(2(x0))), 2'(2(x0)), 2'(x0)) 0'(c_0(c_2(c_0(c_2(c_2(c_1(c_2(c_1(c_1(c_2(c_1(c_1(c_2(c_1(c_0(c_0(c_0(c_0(c_1(c_1(c_2(c_1(x0))))))))))))))))))))))) -> c7(0'(0(1(2(c_2(1(1(2(2(1(1(2(2(2(2(0(1(2(1(2(1(1(1(0(1(2(2(x0))))))))))))))))))))))))))), 0'(1(2(2(1(1(2(2(1(1(2(2(2(2(0(1(2(1(2(1(1(1(0(1(2(2(x0)))))))))))))))))))))))))), 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2'(0(0(2(0(0(1(2(0(2(2(1(2(2(2(0(2(z0))))))))))))))))), 0'(0(2(0(0(1(2(0(2(2(1(2(2(2(0(2(z0)))))))))))))))), 0'(2(0(0(1(2(0(2(2(1(2(2(2(0(2(z0))))))))))))))), 2'(0(0(1(2(0(2(2(1(2(2(2(0(2(z0)))))))))))))), 0'(0(1(2(0(2(2(1(2(2(2(0(2(z0))))))))))))), 0'(1(2(0(2(2(1(2(2(2(0(2(z0)))))))))))), 1'(2(0(2(2(1(2(2(2(0(2(z0))))))))))), 2'(0(2(2(1(2(2(2(0(2(z0)))))))))), 0'(2(2(1(2(2(2(0(2(z0))))))))), 2'(2(1(2(2(2(0(2(z0)))))))), 2'(1(2(2(2(0(2(z0))))))), 1'(2(2(2(0(2(z0)))))), 2'(2(2(0(2(z0))))), 2'(2(0(2(z0)))), 2'(0(2(z0))), 0'(2(z0)), 2'(z0)) 1'(c_0(c_1(c_0(c_2(c_2(c_2(c_2(c_1(c_0(c_0(c_2(c_0(c_2(c_1(c_2(c_1(c_2(c_1(c_1(c_2(c_0(c_2(z0))))))))))))))))))))))) -> c22(2'(1(2(0(2(0(2(0(2(2(2(2(1(2(1(2(2(2(1(1(2(1(0(1(1(2(2(z0))))))))))))))))))))))))))), 1'(2(0(2(0(2(0(2(2(2(2(1(2(1(2(2(2(1(1(2(1(0(1(1(2(2(z0)))))))))))))))))))))))))), 2'(0(2(0(2(0(2(2(2(2(1(2(1(2(2(2(1(1(2(1(0(1(1(2(2(z0))))))))))))))))))))))))), 0'(2(0(2(0(2(2(2(2(1(2(1(2(2(2(1(1(2(1(0(1(1(2(2(z0)))))))))))))))))))))))), 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1'(c_1(c_1(c_0(c_2(c_2(c_1(c_1(c_1(c_2(c_2(c_0(c_2(c_0(c_2(c_1(c_1(c_2(c_1(c_2(c_1(c_2(c_2(z0))))))))))))))))))))))) -> c23(1'(2(1(2(1(1(1(1(2(1(1(1(2(2(0(1(0(2(2(1(2(2(2(1(0(1(2(z0))))))))))))))))))))))))))), 2'(1(2(1(1(1(1(2(1(1(1(2(2(0(1(0(2(2(1(2(2(2(1(0(1(2(z0)))))))))))))))))))))))))), 1'(2(1(1(1(1(2(1(1(1(2(2(0(1(0(2(2(1(2(2(2(1(0(1(2(z0))))))))))))))))))))))))), 2'(1(1(1(1(2(1(1(1(2(2(0(1(0(2(2(1(2(2(2(1(0(1(2(z0)))))))))))))))))))))))), 1'(1(1(1(2(1(1(1(2(2(0(1(0(2(2(1(2(2(2(1(0(1(2(z0))))))))))))))))))))))), 1'(1(1(2(1(1(1(2(2(0(1(0(2(2(1(2(2(2(1(0(1(2(z0)))))))))))))))))))))), 1'(1(2(1(1(1(2(2(0(1(0(2(2(1(2(2(2(1(0(1(2(z0))))))))))))))))))))), 1'(2(1(1(1(2(2(0(1(0(2(2(1(2(2(2(1(0(1(2(z0)))))))))))))))))))), 2'(1(1(1(2(2(0(1(0(2(2(1(2(2(2(1(0(1(2(z0))))))))))))))))))), 1'(1(1(2(2(0(1(0(2(2(1(2(2(2(1(0(1(2(z0)))))))))))))))))), 1'(1(2(2(0(1(0(2(2(1(2(2(2(1(0(1(2(z0))))))))))))))))), 1'(2(2(0(1(0(2(2(1(2(2(2(1(0(1(2(z0)))))))))))))))), 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2'(2(1(2(1(0(2(2(2(1(2(1(1(0(0(1(0(2(x0)))))))))))))))))), 2'(1(2(1(0(2(2(2(1(2(1(1(0(0(1(0(2(x0))))))))))))))))), 1'(2(1(0(2(2(2(1(2(1(1(0(0(1(0(2(x0)))))))))))))))), 2'(1(0(2(2(2(1(2(1(1(0(0(1(0(2(x0))))))))))))))), 1'(0(2(2(2(1(2(1(1(0(0(1(0(2(x0)))))))))))))), 0'(2(2(2(1(2(1(1(0(0(1(0(2(x0))))))))))))), 2'(2(2(1(2(1(1(0(0(1(0(2(x0)))))))))))), 2'(2(1(2(1(1(0(0(1(0(2(x0))))))))))), 2'(1(2(1(1(0(0(1(0(2(x0)))))))))), 1'(2(1(1(0(0(1(0(2(x0))))))))), 2'(1(1(0(0(1(0(2(x0)))))))), 1'(1(0(0(1(0(2(x0))))))), 1'(0(0(1(0(2(x0)))))), 0'(0(1(0(2(x0))))), 0'(1(0(2(x0)))), 1'(0(2(x0))), 0'(2(x0)), 2'(x0)) K tuples:none Defined Rule Symbols: encArg_1, 0_1, 1_1, 2_1 Defined Pair Symbols: 0'_1, 1'_1, 2'_1, ENCODE_0_1, ENCODE_1_1, ENCODE_2_1, ENCARG_1 Compound Symbols: c12_27, c13_27, c14_27, c15_27, c16_27, c18_27, c19_27, c20_27, c21_27, c22_27, c23_27, c24_27, c25_27, c26_27, c27_27, c28_27, c30_27, c31_27, c32_27, c33_27, c34_27, c35_27, c36_27, c37_27, c38_27, c39_27, c40_27, c41_27, c42_27, c43_27, c44_27, c45_27, c46_27, c47_27, c48_27, c6_1, c_2, c1_2, c2_2, c7_27, c8_27, c8_26, c9_27, c9_26, c10_27, c11_27, c11_26