/export/starexec/sandbox/solver/bin/starexec_run_rcdcRelativeAlsoLower /export/starexec/sandbox/benchmark/theBenchmark.xml /export/starexec/sandbox/output/output_files -------------------------------------------------------------------------------- WORST_CASE(?, O(n^1)) proof of /export/starexec/sandbox/benchmark/theBenchmark.xml # AProVE Commit ID: 794c25de1cacf0d048858bcd21c9a779e1221865 marcel 20200619 unpublished dirty The Derivational Complexity (innermost) of the given DCpxTrs could be proven to be BOUNDS(1, n^1). (0) DCpxTrs (1) DerivationalComplexityToRuntimeComplexityProof [BOTH BOUNDS(ID, ID), 0 ms] (2) CpxRelTRS (3) SInnermostTerminationProof [BOTH CONCRETE BOUNDS(ID, ID), 38 ms] (4) CpxRelTRS (5) CpxTrsToCdtProof [UPPER BOUND(ID), 8035 ms] (6) CdtProblem (7) CdtLeafRemovalProof [ComplexityIfPolyImplication, 0 ms] (8) CdtProblem (9) CdtRhsSimplificationProcessorProof [BOTH BOUNDS(ID, ID), 0 ms] (10) CdtProblem (11) CdtGraphSplitRhsProof [BOTH BOUNDS(ID, ID), 0 ms] (12) CdtProblem (13) CdtLeafRemovalProof [ComplexityIfPolyImplication, 0 ms] (14) CdtProblem (15) CdtUsableRulesProof [BOTH BOUNDS(ID, ID), 10 ms] (16) CdtProblem (17) CdtRuleRemovalProof [UPPER BOUND(ADD(n^1)), 73 ms] (18) CdtProblem (19) CdtRuleRemovalProof [UPPER BOUND(ADD(n^1)), 15 ms] (20) CdtProblem (21) SIsEmptyProof [BOTH BOUNDS(ID, ID), 0 ms] (22) BOUNDS(1, 1) ---------------------------------------- (0) Obligation: The Derivational Complexity (innermost) of the given DCpxTrs could be proven to be BOUNDS(1, n^1). The TRS R consists of the following rules: 0(x1) -> 1(1(x1)) 0(0(x1)) -> 1(1(2(x1))) 2(0(x1)) -> 1(1(0(x1))) 2(0(0(x1))) -> 0(1(2(1(1(x1))))) 2(2(1(x1))) -> 1(1(0(1(1(x1))))) 0(2(0(0(x1)))) -> 0(2(1(1(1(1(1(1(1(1(x1)))))))))) 0(0(2(0(2(x1))))) -> 1(2(2(1(1(2(2(1(1(x1))))))))) 0(2(0(2(0(0(x1)))))) -> 0(1(2(2(1(2(0(x1))))))) 2(1(0(1(2(0(0(x1))))))) -> 1(1(1(0(1(2(2(1(1(x1))))))))) 2(2(0(0(2(0(0(x1))))))) -> 2(0(1(1(0(0(2(1(1(x1))))))))) 2(2(0(2(1(0(1(x1))))))) -> 0(1(0(1(2(1(1(2(1(1(x1)))))))))) 0(0(0(0(2(0(1(2(x1)))))))) -> 1(1(1(2(1(1(1(0(0(0(2(x1))))))))))) 0(0(2(1(0(2(2(1(x1)))))))) -> 1(1(0(1(0(2(1(1(1(0(x1)))))))))) 2(0(2(1(1(2(2(0(x1)))))))) -> 2(0(0(2(2(1(2(1(x1)))))))) 2(1(2(0(1(0(2(2(x1)))))))) -> 2(1(0(1(1(1(2(1(0(x1))))))))) 0(2(0(1(2(0(1(1(2(x1))))))))) -> 1(2(2(1(1(1(2(2(1(0(x1)))))))))) 1(1(2(2(0(1(0(1(1(x1))))))))) -> 1(1(1(0(1(1(0(1(1(1(1(x1))))))))))) 2(1(0(1(2(1(2(2(2(x1))))))))) -> 1(1(0(1(0(0(1(1(1(1(2(x1))))))))))) 2(2(0(2(1(0(1(0(1(x1))))))))) -> 2(1(1(1(0(2(0(2(0(x1))))))))) 0(0(1(0(2(2(0(1(2(0(x1)))))))))) -> 2(2(2(1(1(1(1(2(2(1(2(2(2(1(2(x1))))))))))))))) 0(1(1(0(0(2(0(1(2(2(x1)))))))))) -> 1(1(2(1(1(2(1(1(0(0(0(2(1(x1))))))))))))) 1(0(1(1(0(2(2(0(2(0(x1)))))))))) -> 1(1(0(2(2(1(0(2(0(0(x1)))))))))) 1(0(1(2(2(0(0(2(2(1(x1)))))))))) -> 1(0(1(2(0(1(0(1(1(1(1(2(x1)))))))))))) 2(0(1(0(0(1(0(0(2(2(x1)))))))))) -> 1(2(2(1(1(2(2(0(2(0(2(1(1(x1))))))))))))) 0(0(0(1(2(1(2(1(2(0(1(x1))))))))))) -> 1(2(2(1(0(0(1(1(2(2(1(2(x1)))))))))))) 0(0(2(0(0(1(0(1(1(1(2(x1))))))))))) -> 1(2(1(1(1(0(2(1(0(1(2(2(1(x1))))))))))))) 0(0(2(0(2(2(2(2(2(2(0(x1))))))))))) -> 0(2(0(1(0(0(1(1(1(1(2(1(x1)))))))))))) 0(1(2(0(2(1(0(0(0(0(1(x1))))))))))) -> 2(2(1(2(0(1(2(1(2(0(1(2(x1)))))))))))) 0(2(0(2(2(0(2(0(0(0(2(x1))))))))))) -> 0(1(1(0(2(2(1(1(1(0(1(2(0(2(x1)))))))))))))) 1(2(2(2(2(0(2(1(0(0(0(x1))))))))))) -> 2(1(1(2(0(1(0(0(1(0(1(1(x1)))))))))))) 0(1(0(1(0(2(1(1(2(0(2(0(x1)))))))))))) -> 1(1(1(1(0(2(1(1(2(1(2(2(2(2(1(1(x1)))))))))))))))) 0(1(1(2(0(2(0(2(2(2(1(0(x1)))))))))))) -> 2(0(1(0(0(1(1(0(1(1(0(2(0(x1))))))))))))) 0(1(1(2(2(1(1(2(2(0(0(0(x1)))))))))))) -> 2(2(1(1(2(1(1(1(2(1(1(0(2(1(x1)))))))))))))) 0(1(2(0(1(1(0(1(2(2(0(0(x1)))))))))))) -> 1(1(1(1(0(1(2(0(0(2(1(0(2(1(x1)))))))))))))) 0(1(2(2(0(0(1(2(2(0(0(0(x1)))))))))))) -> 1(1(2(2(2(2(0(2(1(2(1(0(1(x1))))))))))))) 0(1(2(2(0(1(1(0(2(0(0(0(x1)))))))))))) -> 1(2(1(2(1(2(0(2(0(2(1(1(0(x1))))))))))))) 2(1(0(0(0(0(2(0(0(0(2(0(x1)))))))))))) -> 1(2(1(2(2(0(2(2(1(2(1(1(0(1(1(x1))))))))))))))) 2(0(2(0(1(2(2(0(2(1(0(0(0(x1))))))))))))) -> 1(1(1(1(2(0(1(0(1(0(2(0(1(1(2(1(x1)))))))))))))))) 2(2(2(2(0(0(1(2(2(1(1(0(0(x1))))))))))))) -> 2(2(2(0(0(2(0(1(1(0(1(1(1(1(1(x1))))))))))))))) 0(0(1(0(1(1(1(0(1(0(2(0(0(1(x1)))))))))))))) -> 1(2(1(1(1(1(0(1(1(0(0(2(1(0(0(0(x1)))))))))))))))) 0(2(2(1(0(1(0(2(1(2(2(1(1(2(x1)))))))))))))) -> 2(1(1(2(2(1(0(1(2(1(2(1(2(1(0(x1))))))))))))))) 0(2(2(0(1(0(0(2(2(2(1(2(2(2(2(x1))))))))))))))) -> 2(2(1(0(2(1(2(2(0(0(0(1(0(0(1(1(x1)))))))))))))))) 1(0(0(0(2(1(0(0(0(2(0(2(2(0(2(x1))))))))))))))) -> 1(1(1(0(0(2(1(0(1(2(1(0(0(0(0(2(x1)))))))))))))))) 1(0(1(2(0(1(1(0(2(1(0(2(0(1(0(x1))))))))))))))) -> 1(0(0(1(1(1(2(1(0(2(0(1(0(1(1(1(0(x1))))))))))))))))) 0(2(1(0(0(1(0(2(2(0(0(2(0(0(2(1(x1)))))))))))))))) -> 0(1(2(1(2(0(0(1(1(2(2(2(0(1(1(2(2(2(1(2(x1)))))))))))))))))))) 2(0(2(0(2(2(0(2(0(1(0(0(0(0(1(2(x1)))))))))))))))) -> 1(1(2(1(0(0(2(1(1(2(1(2(1(1(2(1(2(1(2(2(0(2(x1)))))))))))))))))))))) 2(0(2(2(2(2(1(2(0(1(0(1(0(2(2(1(x1)))))))))))))))) -> 2(1(2(1(2(2(2(0(0(1(2(2(1(0(0(2(x1)))))))))))))))) 0(1(0(2(0(1(2(2(0(1(0(0(2(0(1(2(2(x1))))))))))))))))) -> 1(2(2(1(2(1(2(2(1(0(0(0(0(0(0(0(2(x1))))))))))))))))) 0(1(0(2(2(0(2(2(0(2(1(0(2(1(0(0(2(x1))))))))))))))))) -> 1(1(1(0(1(2(2(0(2(2(1(2(2(0(1(0(1(0(x1)))))))))))))))))) 0(2(0(2(2(2(0(1(0(2(0(2(0(2(1(2(0(x1))))))))))))))))) -> 1(0(1(1(0(2(2(0(1(2(1(0(0(1(2(1(0(1(x1)))))))))))))))))) 1(1(0(1(0(2(1(0(2(0(1(2(2(2(2(1(1(x1))))))))))))))))) -> 1(1(2(2(1(1(0(0(2(0(0(1(1(0(2(2(1(1(x1)))))))))))))))))) 1(2(2(2(0(2(1(2(0(1(0(2(1(0(2(1(0(x1))))))))))))))))) -> 1(1(1(2(1(0(1(1(2(2(0(1(2(1(2(1(0(0(2(1(2(1(2(x1))))))))))))))))))))))) 2(1(2(0(1(2(1(0(0(2(0(0(2(0(0(1(2(x1))))))))))))))))) -> 1(2(1(2(1(1(2(0(2(0(2(1(1(1(1(0(2(1(1(x1))))))))))))))))))) 0(2(0(2(2(1(0(1(2(0(0(2(1(0(2(2(1(1(x1)))))))))))))))))) -> 1(1(1(0(2(0(1(2(0(2(2(0(1(0(1(0(0(1(1(x1))))))))))))))))))) 0(2(2(2(0(1(0(2(0(1(0(0(0(2(2(2(2(0(x1)))))))))))))))))) -> 2(1(2(1(2(0(0(0(2(0(0(1(1(0(2(1(2(0(0(2(x1)))))))))))))))))))) 0(1(0(0(0(0(0(2(2(1(0(2(2(0(2(1(2(2(1(x1))))))))))))))))))) -> 2(1(2(1(1(1(2(1(1(0(2(2(0(1(0(0(2(0(2(1(1(0(1(1(2(1(x1)))))))))))))))))))))))))) 0(1(0(2(0(2(2(1(2(2(1(0(2(0(1(0(2(2(2(x1))))))))))))))))))) -> 0(1(0(2(2(1(1(0(1(2(0(2(1(2(1(2(1(1(1(1(x1)))))))))))))))))))) 1(0(1(1(2(0(1(1(0(0(2(1(0(0(2(2(0(0(0(x1))))))))))))))))))) -> 2(1(1(0(1(1(2(1(2(2(2(2(1(1(1(1(2(1(1(2(0(0(2(1(x1)))))))))))))))))))))))) 1(0(1(2(0(1(0(2(2(1(0(1(0(0(2(2(2(0(0(x1))))))))))))))))))) -> 1(0(2(1(1(1(1(0(2(1(0(1(2(0(0(2(1(1(0(0(1(1(0(2(x1)))))))))))))))))))))))) 1(2(0(2(2(0(0(1(0(0(2(0(2(2(1(0(1(0(2(x1))))))))))))))))))) -> 2(2(1(2(1(0(2(1(2(2(1(2(2(0(2(2(0(2(0(0(1(1(1(x1))))))))))))))))))))))) 2(2(2(2(0(0(1(0(1(1(1(2(0(2(0(2(2(0(0(x1))))))))))))))))))) -> 2(0(0(0(1(1(0(2(2(2(1(2(0(0(1(1(2(1(1(1(2(1(2(x1))))))))))))))))))))))) 0(0(1(0(0(0(2(2(1(0(2(1(2(1(2(2(2(0(0(2(x1)))))))))))))))))))) -> 0(0(2(0(2(1(1(2(0(0(1(1(2(1(1(1(2(1(1(1(1(0(1(x1))))))))))))))))))))))) 0(1(2(1(0(1(0(2(2(2(2(1(0(2(1(0(1(1(1(1(x1)))))))))))))))))))) -> 0(1(1(1(1(0(1(1(2(0(0(2(2(0(1(2(1(1(2(2(x1)))))))))))))))))))) 1(1(0(0(1(2(1(0(0(1(1(2(1(0(0(0(1(2(1(2(x1)))))))))))))))))))) -> 2(2(1(2(1(2(1(0(0(1(1(1(2(1(1(1(1(1(1(1(1(2(1(x1))))))))))))))))))))))) 1(1(0(2(2(0(0(0(2(1(2(1(0(1(0(0(0(0(0(1(x1)))))))))))))))))))) -> 1(2(1(1(2(1(0(0(1(2(1(2(1(2(2(2(1(0(2(1(0(0(x1)))))))))))))))))))))) 0(0(1(2(2(2(1(2(2(0(0(0(2(1(2(1(2(1(2(2(2(x1))))))))))))))))))))) -> 1(1(2(1(1(1(1(2(1(1(0(2(1(0(0(2(1(2(1(2(1(0(0(x1))))))))))))))))))))))) 0(0(2(2(0(1(2(0(0(0(1(2(2(2(0(0(1(1(0(2(0(x1))))))))))))))))))))) -> 1(2(1(0(1(1(1(2(1(2(0(2(1(1(2(0(2(2(1(2(0(0(1(1(0(2(x1)))))))))))))))))))))))))) 0(2(2(0(1(0(0(0(2(2(1(0(1(2(0(1(0(1(0(0(0(x1))))))))))))))))))))) -> 0(0(2(1(1(2(1(0(2(0(1(2(1(0(2(1(1(2(2(0(0(1(0(2(x1)))))))))))))))))))))))) 0(2(2(0(1(2(2(2(2(1(2(0(2(1(0(1(0(2(0(1(2(x1))))))))))))))))))))) -> 0(2(0(0(2(1(1(0(1(1(1(0(2(2(2(1(1(1(1(2(0(0(0(x1))))))))))))))))))))))) 1(0(0(0(1(2(1(2(0(2(0(0(1(0(0(0(1(2(1(0(2(x1))))))))))))))))))))) -> 2(2(2(2(1(1(2(1(0(1(0(2(2(1(0(0(1(1(1(1(0(1(0(x1))))))))))))))))))))))) 1(0(2(1(1(1(1(0(0(2(2(0(1(0(1(0(2(2(0(0(0(x1))))))))))))))))))))) -> 1(1(1(1(0(2(1(2(2(1(1(1(0(2(2(1(2(2(1(0(1(2(x1)))))))))))))))))))))) 2(0(0(2(2(2(1(1(2(2(0(2(1(0(0(0(2(2(1(0(1(x1))))))))))))))))))))) -> 2(1(1(2(1(1(1(0(1(2(2(1(2(0(0(0(2(0(0(1(2(0(x1)))))))))))))))))))))) 2(0(2(2(2(0(0(1(2(2(1(1(2(0(0(0(2(0(0(0(2(x1))))))))))))))))))))) -> 1(1(1(0(1(2(2(1(2(2(2(1(1(1(1(1(1(1(0(2(1(0(1(0(x1)))))))))))))))))))))))) 2(1(2(1(1(2(0(0(1(1(0(1(1(2(1(1(1(1(0(1(2(x1))))))))))))))))))))) -> 1(1(1(1(2(1(0(1(0(1(2(2(1(2(1(1(1(0(0(1(2(x1))))))))))))))))))))) 2(2(0(0(2(1(0(1(0(0(0(0(0(1(0(0(2(0(0(1(1(x1))))))))))))))))))))) -> 2(0(2(0(2(0(0(0(2(2(1(1(2(2(2(1(1(1(1(1(2(1(2(x1))))))))))))))))))))))) 2(2(0(2(1(1(0(1(2(0(1(1(2(0(2(0(1(0(2(0(1(x1))))))))))))))))))))) -> 2(1(2(1(0(1(1(1(1(0(2(2(2(1(2(2(1(2(1(1(0(2(x1)))))))))))))))))))))) 0(0(1(2(2(0(1(1(2(0(1(0(0(0(0(1(0(1(2(2(2(1(x1)))))))))))))))))))))) -> 1(1(1(1(2(2(2(0(2(0(2(2(1(0(2(0(2(1(2(1(2(1(1(1(0(1(x1)))))))))))))))))))))))))) 1(0(1(1(0(0(1(1(1(0(2(2(0(1(0(0(1(2(0(0(2(0(x1)))))))))))))))))))))) -> 1(1(1(2(2(0(2(1(2(0(2(0(0(0(1(2(1(2(1(2(0(2(1(x1))))))))))))))))))))))) 2(0(0(1(1(2(2(2(2(1(2(0(1(2(0(2(2(1(2(2(0(2(x1)))))))))))))))))))))) -> 1(1(1(0(0(2(2(2(1(2(2(0(1(1(1(1(2(1(0(1(1(2(0(2(2(x1))))))))))))))))))))))))) 2(0(1(2(2(0(1(0(0(0(2(1(2(1(2(0(1(1(2(0(1(0(x1)))))))))))))))))))))) -> 0(2(1(1(0(2(1(1(0(1(1(2(2(0(1(2(2(1(0(1(1(1(0(x1))))))))))))))))))))))) 2(2(1(0(1(1(2(0(2(1(1(0(0(1(2(1(2(2(2(0(2(1(x1)))))))))))))))))))))) -> 2(1(1(2(1(2(0(2(1(1(1(1(2(1(1(2(1(1(0(1(1(2(2(1(1(x1))))))))))))))))))))))))) 2(2(2(0(0(1(0(2(0(2(0(0(1(2(1(2(1(2(0(1(1(1(x1)))))))))))))))))))))) -> 1(1(2(1(2(1(2(1(2(1(0(2(0(1(1(0(1(0(0(2(0(2(1(2(1(x1))))))))))))))))))))))))) 0(0(1(2(0(0(1(0(0(2(0(1(0(1(2(0(2(0(0(2(2(0(2(x1))))))))))))))))))))))) -> 0(0(1(0(1(2(2(0(1(0(0(2(0(1(1(1(0(1(2(1(2(0(0(1(0(1(x1)))))))))))))))))))))))))) 2(2(1(2(0(0(0(0(1(2(1(0(1(0(2(0(1(0(0(1(2(0(2(x1))))))))))))))))))))))) -> 2(1(1(2(2(2(2(1(0(1(2(0(1(1(1(1(1(2(1(2(1(1(0(2(1(1(0(0(2(x1))))))))))))))))))))))))))))) 1(2(0(2(1(2(0(0(0(0(0(0(2(2(1(0(2(2(0(2(1(0(0(1(x1)))))))))))))))))))))))) -> 1(0(1(0(0(2(2(1(1(2(0(2(2(0(0(2(0(1(0(1(1(1(1(2(2(2(1(x1))))))))))))))))))))))))))) 1(2(2(1(2(0(1(2(0(1(2(1(0(0(0(2(2(2(0(2(2(0(2(1(x1)))))))))))))))))))))))) -> 2(1(0(2(0(2(1(1(1(1(2(0(0(1(0(2(1(0(2(0(2(0(1(1(2(x1))))))))))))))))))))))))) 2(1(1(2(0(0(0(2(0(2(2(2(2(0(1(0(1(0(2(2(1(1(1(2(x1)))))))))))))))))))))))) -> 2(1(1(2(1(1(2(1(2(1(2(0(1(1(0(0(0(1(1(1(2(1(2(1(1(x1))))))))))))))))))))))))) 0(1(0(1(1(0(1(1(0(2(2(0(2(1(0(0(2(0(0(1(2(0(2(0(2(x1))))))))))))))))))))))))) -> 1(1(2(1(1(1(1(2(0(2(0(2(1(2(2(0(1(1(2(0(1(1(0(2(2(2(0(x1))))))))))))))))))))))))))) 0(1(2(2(1(0(0(2(1(1(2(0(1(0(2(0(1(0(1(2(2(0(1(1(0(x1))))))))))))))))))))))))) -> 0(1(1(1(2(1(1(2(2(0(0(0(0(1(1(2(0(0(0(2(1(2(1(1(0(1(x1)))))))))))))))))))))))))) 1(0(1(0(0(0(2(0(1(2(0(2(0(2(0(1(0(2(2(0(0(1(0(1(1(x1))))))))))))))))))))))))) -> 1(2(0(0(2(0(1(0(1(0(2(2(1(1(0(0(0(1(2(1(1(1(1(0(2(1(x1)))))))))))))))))))))))))) 1(1(0(2(0(1(2(1(0(0(1(0(0(2(1(0(2(0(1(0(0(0(1(0(1(x1))))))))))))))))))))))))) -> 2(1(0(2(0(0(1(1(2(2(1(2(0(2(2(1(2(1(2(2(1(0(2(1(2(1(x1)))))))))))))))))))))))))) 0(0(0(1(0(2(1(2(0(1(2(0(0(2(1(0(2(0(2(2(2(2(0(2(0(0(x1)))))))))))))))))))))))))) -> 0(2(1(0(0(1(0(1(0(0(1(0(1(0(0(2(2(0(1(1(1(1(1(0(1(1(0(2(0(x1))))))))))))))))))))))))))))) 0(0(1(2(2(0(1(2(0(0(0(2(0(2(1(2(0(0(0(2(0(2(2(2(0(1(x1)))))))))))))))))))))))))) -> 1(1(0(1(2(1(2(1(1(1(0(0(1(1(2(2(0(2(0(0(2(0(0(1(1(2(1(x1))))))))))))))))))))))))))) 0(2(0(2(2(2(0(1(1(2(2(2(0(0(1(2(0(2(2(1(2(0(0(1(2(2(x1)))))))))))))))))))))))))) -> 0(1(1(2(1(0(2(1(1(1(1(2(1(1(1(2(1(1(2(0(2(0(2(2(1(2(1(2(0(x1))))))))))))))))))))))))))))) 2(1(2(2(0(0(2(0(0(0(1(1(2(0(1(1(2(2(2(0(0(0(2(1(2(1(x1)))))))))))))))))))))))))) -> 1(1(0(0(0(1(1(0(2(0(1(2(1(1(1(1(2(1(1(1(1(2(1(0(1(2(2(1(x1)))))))))))))))))))))))))))) 2(2(0(2(1(2(0(2(0(2(0(0(0(2(1(2(2(0(1(0(1(0(1(0(1(0(x1)))))))))))))))))))))))))) -> 1(1(0(1(2(1(0(2(2(2(0(1(2(1(1(1(2(2(2(2(1(2(2(1(0(2(2(2(0(x1))))))))))))))))))))))))))))) 2(2(2(0(0(1(0(1(2(0(0(0(2(0(2(2(0(1(0(0(2(1(2(2(2(2(x1)))))))))))))))))))))))))) -> 2(1(2(1(0(1(2(0(1(0(2(2(0(1(1(2(0(1(2(2(2(2(0(0(0(1(2(x1))))))))))))))))))))))))))) 2(2(2(2(0(1(1(2(0(2(0(1(1(2(0(1(2(1(1(2(2(1(2(1(2(2(x1)))))))))))))))))))))))))) -> 2(0(0(1(1(2(2(1(1(1(1(0(1(2(1(2(1(1(2(1(2(2(1(0(2(1(1(0(2(x1))))))))))))))))))))))))))))) 0(1(0(0(2(0(0(2(2(2(0(1(2(1(1(1(2(0(1(1(0(0(0(1(0(1(0(x1))))))))))))))))))))))))))) -> 0(1(0(0(1(0(1(2(0(2(0(0(2(0(1(2(2(1(1(1(0(1(2(1(0(0(0(x1))))))))))))))))))))))))))) 0(1(1(2(0(0(2(2(0(0(1(2(2(2(1(2(2(2(2(0(2(0(2(0(0(0(1(x1))))))))))))))))))))))))))) -> 0(1(0(1(1(2(0(1(0(1(1(1(0(2(2(0(1(1(0(0(0(2(0(1(1(1(0(0(x1)))))))))))))))))))))))))))) 1(0(1(1(1(2(2(1(0(1(0(2(1(1(0(2(1(0(1(2(1(0(2(2(1(0(0(x1))))))))))))))))))))))))))) -> 2(2(2(2(1(2(1(1(1(2(2(2(1(2(2(2(1(1(0(1(1(2(1(0(2(2(1(1(x1)))))))))))))))))))))))))))) 2(0(2(0(1(2(0(1(0(2(2(2(0(1(1(0(0(1(1(2(2(2(1(0(1(2(1(x1))))))))))))))))))))))))))) -> 2(1(0(1(1(1(1(2(1(2(0(2(0(1(2(2(0(2(1(2(1(1(2(0(2(2(1(0(x1)))))))))))))))))))))))))))) 2(2(2(0(2(1(2(2(1(0(1(1(1(0(1(2(1(1(2(1(2(0(1(0(2(2(1(x1))))))))))))))))))))))))))) -> 0(1(0(1(2(1(2(2(1(2(1(2(1(0(2(1(2(2(1(1(2(1(1(0(2(0(2(x1))))))))))))))))))))))))))) 0(0(0(0(0(1(0(2(2(2(0(0(2(0(1(0(1(2(1(1(0(1(0(2(0(0(1(0(x1)))))))))))))))))))))))))))) -> 1(0(2(1(2(1(2(1(1(2(1(1(1(1(1(1(1(1(0(2(2(1(2(1(1(1(0(1(0(1(x1)))))))))))))))))))))))))))))) 1(2(2(1(1(2(2(1(1(2(1(2(2(0(0(1(2(1(0(1(1(0(1(0(0(2(2(0(x1)))))))))))))))))))))))))))) -> 1(2(1(2(1(0(1(2(2(2(1(2(0(0(0(2(1(0(0(1(1(1(0(0(1(1(1(1(1(0(x1)))))))))))))))))))))))))))))) 2(0(1(1(1(0(0(0(0(2(0(1(2(0(1(0(1(2(2(0(2(2(2(0(2(1(0(0(x1)))))))))))))))))))))))))))) -> 1(1(0(1(1(2(2(1(2(1(0(2(0(0(2(1(1(1(1(2(0(1(0(1(1(1(1(2(1(1(x1)))))))))))))))))))))))))))))) 2(2(2(2(2(1(0(2(2(0(2(1(0(0(1(1(2(1(1(1(1(2(2(0(0(2(2(0(x1)))))))))))))))))))))))))))) -> 2(1(1(0(1(1(2(2(2(2(2(1(1(1(0(2(1(0(1(1(0(2(2(1(0(2(1(1(1(2(x1)))))))))))))))))))))))))))))) 0(0(1(1(2(2(0(1(1(0(1(2(2(0(2(0(2(1(0(0(1(1(0(1(0(0(0(1(1(x1))))))))))))))))))))))))))))) -> 0(1(2(0(1(1(0(1(1(0(2(1(2(1(1(0(2(1(1(2(2(1(1(2(1(2(2(2(0(2(x1)))))))))))))))))))))))))))))) 0(2(2(1(0(1(2(0(1(0(1(2(0(1(1(0(1(2(0(0(2(0(1(2(0(1(1(2(1(x1))))))))))))))))))))))))))))) -> 0(1(2(1(2(1(2(2(2(1(1(0(0(1(2(2(2(2(2(2(2(1(0(0(0(1(2(0(0(1(x1)))))))))))))))))))))))))))))) 2(1(1(2(1(1(1(0(2(1(1(2(1(1(2(2(1(1(2(0(1(0(1(2(0(1(0(0(1(x1))))))))))))))))))))))))))))) -> 2(2(1(1(1(0(1(2(1(0(1(2(1(1(1(2(1(0(2(0(1(2(1(0(0(1(1(2(1(x1))))))))))))))))))))))))))))) S is empty. Rewrite Strategy: INNERMOST ---------------------------------------- (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_2(x_1)) -> 2(encArg(x_1)) encArg(cons_1(x_1)) -> 1(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 (innermost) of the given CpxRelTRS could be proven to be BOUNDS(1, n^1). The TRS R consists of the following rules: 0(x1) -> 1(1(x1)) 0(0(x1)) -> 1(1(2(x1))) 2(0(x1)) -> 1(1(0(x1))) 2(0(0(x1))) -> 0(1(2(1(1(x1))))) 2(2(1(x1))) -> 1(1(0(1(1(x1))))) 0(2(0(0(x1)))) -> 0(2(1(1(1(1(1(1(1(1(x1)))))))))) 0(0(2(0(2(x1))))) -> 1(2(2(1(1(2(2(1(1(x1))))))))) 0(2(0(2(0(0(x1)))))) -> 0(1(2(2(1(2(0(x1))))))) 2(1(0(1(2(0(0(x1))))))) -> 1(1(1(0(1(2(2(1(1(x1))))))))) 2(2(0(0(2(0(0(x1))))))) -> 2(0(1(1(0(0(2(1(1(x1))))))))) 2(2(0(2(1(0(1(x1))))))) -> 0(1(0(1(2(1(1(2(1(1(x1)))))))))) 0(0(0(0(2(0(1(2(x1)))))))) -> 1(1(1(2(1(1(1(0(0(0(2(x1))))))))))) 0(0(2(1(0(2(2(1(x1)))))))) -> 1(1(0(1(0(2(1(1(1(0(x1)))))))))) 2(0(2(1(1(2(2(0(x1)))))))) -> 2(0(0(2(2(1(2(1(x1)))))))) 2(1(2(0(1(0(2(2(x1)))))))) -> 2(1(0(1(1(1(2(1(0(x1))))))))) 0(2(0(1(2(0(1(1(2(x1))))))))) -> 1(2(2(1(1(1(2(2(1(0(x1)))))))))) 1(1(2(2(0(1(0(1(1(x1))))))))) -> 1(1(1(0(1(1(0(1(1(1(1(x1))))))))))) 2(1(0(1(2(1(2(2(2(x1))))))))) -> 1(1(0(1(0(0(1(1(1(1(2(x1))))))))))) 2(2(0(2(1(0(1(0(1(x1))))))))) -> 2(1(1(1(0(2(0(2(0(x1))))))))) 0(0(1(0(2(2(0(1(2(0(x1)))))))))) -> 2(2(2(1(1(1(1(2(2(1(2(2(2(1(2(x1))))))))))))))) 0(1(1(0(0(2(0(1(2(2(x1)))))))))) -> 1(1(2(1(1(2(1(1(0(0(0(2(1(x1))))))))))))) 1(0(1(1(0(2(2(0(2(0(x1)))))))))) -> 1(1(0(2(2(1(0(2(0(0(x1)))))))))) 1(0(1(2(2(0(0(2(2(1(x1)))))))))) -> 1(0(1(2(0(1(0(1(1(1(1(2(x1)))))))))))) 2(0(1(0(0(1(0(0(2(2(x1)))))))))) -> 1(2(2(1(1(2(2(0(2(0(2(1(1(x1))))))))))))) 0(0(0(1(2(1(2(1(2(0(1(x1))))))))))) -> 1(2(2(1(0(0(1(1(2(2(1(2(x1)))))))))))) 0(0(2(0(0(1(0(1(1(1(2(x1))))))))))) -> 1(2(1(1(1(0(2(1(0(1(2(2(1(x1))))))))))))) 0(0(2(0(2(2(2(2(2(2(0(x1))))))))))) -> 0(2(0(1(0(0(1(1(1(1(2(1(x1)))))))))))) 0(1(2(0(2(1(0(0(0(0(1(x1))))))))))) -> 2(2(1(2(0(1(2(1(2(0(1(2(x1)))))))))))) 0(2(0(2(2(0(2(0(0(0(2(x1))))))))))) -> 0(1(1(0(2(2(1(1(1(0(1(2(0(2(x1)))))))))))))) 1(2(2(2(2(0(2(1(0(0(0(x1))))))))))) -> 2(1(1(2(0(1(0(0(1(0(1(1(x1)))))))))))) 0(1(0(1(0(2(1(1(2(0(2(0(x1)))))))))))) -> 1(1(1(1(0(2(1(1(2(1(2(2(2(2(1(1(x1)))))))))))))))) 0(1(1(2(0(2(0(2(2(2(1(0(x1)))))))))))) -> 2(0(1(0(0(1(1(0(1(1(0(2(0(x1))))))))))))) 0(1(1(2(2(1(1(2(2(0(0(0(x1)))))))))))) -> 2(2(1(1(2(1(1(1(2(1(1(0(2(1(x1)))))))))))))) 0(1(2(0(1(1(0(1(2(2(0(0(x1)))))))))))) -> 1(1(1(1(0(1(2(0(0(2(1(0(2(1(x1)))))))))))))) 0(1(2(2(0(0(1(2(2(0(0(0(x1)))))))))))) -> 1(1(2(2(2(2(0(2(1(2(1(0(1(x1))))))))))))) 0(1(2(2(0(1(1(0(2(0(0(0(x1)))))))))))) -> 1(2(1(2(1(2(0(2(0(2(1(1(0(x1))))))))))))) 2(1(0(0(0(0(2(0(0(0(2(0(x1)))))))))))) -> 1(2(1(2(2(0(2(2(1(2(1(1(0(1(1(x1))))))))))))))) 2(0(2(0(1(2(2(0(2(1(0(0(0(x1))))))))))))) -> 1(1(1(1(2(0(1(0(1(0(2(0(1(1(2(1(x1)))))))))))))))) 2(2(2(2(0(0(1(2(2(1(1(0(0(x1))))))))))))) -> 2(2(2(0(0(2(0(1(1(0(1(1(1(1(1(x1))))))))))))))) 0(0(1(0(1(1(1(0(1(0(2(0(0(1(x1)))))))))))))) -> 1(2(1(1(1(1(0(1(1(0(0(2(1(0(0(0(x1)))))))))))))))) 0(2(2(1(0(1(0(2(1(2(2(1(1(2(x1)))))))))))))) -> 2(1(1(2(2(1(0(1(2(1(2(1(2(1(0(x1))))))))))))))) 0(2(2(0(1(0(0(2(2(2(1(2(2(2(2(x1))))))))))))))) -> 2(2(1(0(2(1(2(2(0(0(0(1(0(0(1(1(x1)))))))))))))))) 1(0(0(0(2(1(0(0(0(2(0(2(2(0(2(x1))))))))))))))) -> 1(1(1(0(0(2(1(0(1(2(1(0(0(0(0(2(x1)))))))))))))))) 1(0(1(2(0(1(1(0(2(1(0(2(0(1(0(x1))))))))))))))) -> 1(0(0(1(1(1(2(1(0(2(0(1(0(1(1(1(0(x1))))))))))))))))) 0(2(1(0(0(1(0(2(2(0(0(2(0(0(2(1(x1)))))))))))))))) -> 0(1(2(1(2(0(0(1(1(2(2(2(0(1(1(2(2(2(1(2(x1)))))))))))))))))))) 2(0(2(0(2(2(0(2(0(1(0(0(0(0(1(2(x1)))))))))))))))) -> 1(1(2(1(0(0(2(1(1(2(1(2(1(1(2(1(2(1(2(2(0(2(x1)))))))))))))))))))))) 2(0(2(2(2(2(1(2(0(1(0(1(0(2(2(1(x1)))))))))))))))) -> 2(1(2(1(2(2(2(0(0(1(2(2(1(0(0(2(x1)))))))))))))))) 0(1(0(2(0(1(2(2(0(1(0(0(2(0(1(2(2(x1))))))))))))))))) -> 1(2(2(1(2(1(2(2(1(0(0(0(0(0(0(0(2(x1))))))))))))))))) 0(1(0(2(2(0(2(2(0(2(1(0(2(1(0(0(2(x1))))))))))))))))) -> 1(1(1(0(1(2(2(0(2(2(1(2(2(0(1(0(1(0(x1)))))))))))))))))) 0(2(0(2(2(2(0(1(0(2(0(2(0(2(1(2(0(x1))))))))))))))))) -> 1(0(1(1(0(2(2(0(1(2(1(0(0(1(2(1(0(1(x1)))))))))))))))))) 1(1(0(1(0(2(1(0(2(0(1(2(2(2(2(1(1(x1))))))))))))))))) -> 1(1(2(2(1(1(0(0(2(0(0(1(1(0(2(2(1(1(x1)))))))))))))))))) 1(2(2(2(0(2(1(2(0(1(0(2(1(0(2(1(0(x1))))))))))))))))) -> 1(1(1(2(1(0(1(1(2(2(0(1(2(1(2(1(0(0(2(1(2(1(2(x1))))))))))))))))))))))) 2(1(2(0(1(2(1(0(0(2(0(0(2(0(0(1(2(x1))))))))))))))))) -> 1(2(1(2(1(1(2(0(2(0(2(1(1(1(1(0(2(1(1(x1))))))))))))))))))) 0(2(0(2(2(1(0(1(2(0(0(2(1(0(2(2(1(1(x1)))))))))))))))))) -> 1(1(1(0(2(0(1(2(0(2(2(0(1(0(1(0(0(1(1(x1))))))))))))))))))) 0(2(2(2(0(1(0(2(0(1(0(0(0(2(2(2(2(0(x1)))))))))))))))))) -> 2(1(2(1(2(0(0(0(2(0(0(1(1(0(2(1(2(0(0(2(x1)))))))))))))))))))) 0(1(0(0(0(0(0(2(2(1(0(2(2(0(2(1(2(2(1(x1))))))))))))))))))) -> 2(1(2(1(1(1(2(1(1(0(2(2(0(1(0(0(2(0(2(1(1(0(1(1(2(1(x1)))))))))))))))))))))))))) 0(1(0(2(0(2(2(1(2(2(1(0(2(0(1(0(2(2(2(x1))))))))))))))))))) -> 0(1(0(2(2(1(1(0(1(2(0(2(1(2(1(2(1(1(1(1(x1)))))))))))))))))))) 1(0(1(1(2(0(1(1(0(0(2(1(0(0(2(2(0(0(0(x1))))))))))))))))))) -> 2(1(1(0(1(1(2(1(2(2(2(2(1(1(1(1(2(1(1(2(0(0(2(1(x1)))))))))))))))))))))))) 1(0(1(2(0(1(0(2(2(1(0(1(0(0(2(2(2(0(0(x1))))))))))))))))))) -> 1(0(2(1(1(1(1(0(2(1(0(1(2(0(0(2(1(1(0(0(1(1(0(2(x1)))))))))))))))))))))))) 1(2(0(2(2(0(0(1(0(0(2(0(2(2(1(0(1(0(2(x1))))))))))))))))))) -> 2(2(1(2(1(0(2(1(2(2(1(2(2(0(2(2(0(2(0(0(1(1(1(x1))))))))))))))))))))))) 2(2(2(2(0(0(1(0(1(1(1(2(0(2(0(2(2(0(0(x1))))))))))))))))))) -> 2(0(0(0(1(1(0(2(2(2(1(2(0(0(1(1(2(1(1(1(2(1(2(x1))))))))))))))))))))))) 0(0(1(0(0(0(2(2(1(0(2(1(2(1(2(2(2(0(0(2(x1)))))))))))))))))))) -> 0(0(2(0(2(1(1(2(0(0(1(1(2(1(1(1(2(1(1(1(1(0(1(x1))))))))))))))))))))))) 0(1(2(1(0(1(0(2(2(2(2(1(0(2(1(0(1(1(1(1(x1)))))))))))))))))))) -> 0(1(1(1(1(0(1(1(2(0(0(2(2(0(1(2(1(1(2(2(x1)))))))))))))))))))) 1(1(0(0(1(2(1(0(0(1(1(2(1(0(0(0(1(2(1(2(x1)))))))))))))))))))) -> 2(2(1(2(1(2(1(0(0(1(1(1(2(1(1(1(1(1(1(1(1(2(1(x1))))))))))))))))))))))) 1(1(0(2(2(0(0(0(2(1(2(1(0(1(0(0(0(0(0(1(x1)))))))))))))))))))) -> 1(2(1(1(2(1(0(0(1(2(1(2(1(2(2(2(1(0(2(1(0(0(x1)))))))))))))))))))))) 0(0(1(2(2(2(1(2(2(0(0(0(2(1(2(1(2(1(2(2(2(x1))))))))))))))))))))) -> 1(1(2(1(1(1(1(2(1(1(0(2(1(0(0(2(1(2(1(2(1(0(0(x1))))))))))))))))))))))) 0(0(2(2(0(1(2(0(0(0(1(2(2(2(0(0(1(1(0(2(0(x1))))))))))))))))))))) -> 1(2(1(0(1(1(1(2(1(2(0(2(1(1(2(0(2(2(1(2(0(0(1(1(0(2(x1)))))))))))))))))))))))))) 0(2(2(0(1(0(0(0(2(2(1(0(1(2(0(1(0(1(0(0(0(x1))))))))))))))))))))) -> 0(0(2(1(1(2(1(0(2(0(1(2(1(0(2(1(1(2(2(0(0(1(0(2(x1)))))))))))))))))))))))) 0(2(2(0(1(2(2(2(2(1(2(0(2(1(0(1(0(2(0(1(2(x1))))))))))))))))))))) -> 0(2(0(0(2(1(1(0(1(1(1(0(2(2(2(1(1(1(1(2(0(0(0(x1))))))))))))))))))))))) 1(0(0(0(1(2(1(2(0(2(0(0(1(0(0(0(1(2(1(0(2(x1))))))))))))))))))))) -> 2(2(2(2(1(1(2(1(0(1(0(2(2(1(0(0(1(1(1(1(0(1(0(x1))))))))))))))))))))))) 1(0(2(1(1(1(1(0(0(2(2(0(1(0(1(0(2(2(0(0(0(x1))))))))))))))))))))) -> 1(1(1(1(0(2(1(2(2(1(1(1(0(2(2(1(2(2(1(0(1(2(x1)))))))))))))))))))))) 2(0(0(2(2(2(1(1(2(2(0(2(1(0(0(0(2(2(1(0(1(x1))))))))))))))))))))) -> 2(1(1(2(1(1(1(0(1(2(2(1(2(0(0(0(2(0(0(1(2(0(x1)))))))))))))))))))))) 2(0(2(2(2(0(0(1(2(2(1(1(2(0(0(0(2(0(0(0(2(x1))))))))))))))))))))) -> 1(1(1(0(1(2(2(1(2(2(2(1(1(1(1(1(1(1(0(2(1(0(1(0(x1)))))))))))))))))))))))) 2(1(2(1(1(2(0(0(1(1(0(1(1(2(1(1(1(1(0(1(2(x1))))))))))))))))))))) -> 1(1(1(1(2(1(0(1(0(1(2(2(1(2(1(1(1(0(0(1(2(x1))))))))))))))))))))) 2(2(0(0(2(1(0(1(0(0(0(0(0(1(0(0(2(0(0(1(1(x1))))))))))))))))))))) -> 2(0(2(0(2(0(0(0(2(2(1(1(2(2(2(1(1(1(1(1(2(1(2(x1))))))))))))))))))))))) 2(2(0(2(1(1(0(1(2(0(1(1(2(0(2(0(1(0(2(0(1(x1))))))))))))))))))))) -> 2(1(2(1(0(1(1(1(1(0(2(2(2(1(2(2(1(2(1(1(0(2(x1)))))))))))))))))))))) 0(0(1(2(2(0(1(1(2(0(1(0(0(0(0(1(0(1(2(2(2(1(x1)))))))))))))))))))))) -> 1(1(1(1(2(2(2(0(2(0(2(2(1(0(2(0(2(1(2(1(2(1(1(1(0(1(x1)))))))))))))))))))))))))) 1(0(1(1(0(0(1(1(1(0(2(2(0(1(0(0(1(2(0(0(2(0(x1)))))))))))))))))))))) -> 1(1(1(2(2(0(2(1(2(0(2(0(0(0(1(2(1(2(1(2(0(2(1(x1))))))))))))))))))))))) 2(0(0(1(1(2(2(2(2(1(2(0(1(2(0(2(2(1(2(2(0(2(x1)))))))))))))))))))))) -> 1(1(1(0(0(2(2(2(1(2(2(0(1(1(1(1(2(1(0(1(1(2(0(2(2(x1))))))))))))))))))))))))) 2(0(1(2(2(0(1(0(0(0(2(1(2(1(2(0(1(1(2(0(1(0(x1)))))))))))))))))))))) -> 0(2(1(1(0(2(1(1(0(1(1(2(2(0(1(2(2(1(0(1(1(1(0(x1))))))))))))))))))))))) 2(2(1(0(1(1(2(0(2(1(1(0(0(1(2(1(2(2(2(0(2(1(x1)))))))))))))))))))))) -> 2(1(1(2(1(2(0(2(1(1(1(1(2(1(1(2(1(1(0(1(1(2(2(1(1(x1))))))))))))))))))))))))) 2(2(2(0(0(1(0(2(0(2(0(0(1(2(1(2(1(2(0(1(1(1(x1)))))))))))))))))))))) -> 1(1(2(1(2(1(2(1(2(1(0(2(0(1(1(0(1(0(0(2(0(2(1(2(1(x1))))))))))))))))))))))))) 0(0(1(2(0(0(1(0(0(2(0(1(0(1(2(0(2(0(0(2(2(0(2(x1))))))))))))))))))))))) -> 0(0(1(0(1(2(2(0(1(0(0(2(0(1(1(1(0(1(2(1(2(0(0(1(0(1(x1)))))))))))))))))))))))))) 2(2(1(2(0(0(0(0(1(2(1(0(1(0(2(0(1(0(0(1(2(0(2(x1))))))))))))))))))))))) -> 2(1(1(2(2(2(2(1(0(1(2(0(1(1(1(1(1(2(1(2(1(1(0(2(1(1(0(0(2(x1))))))))))))))))))))))))))))) 1(2(0(2(1(2(0(0(0(0(0(0(2(2(1(0(2(2(0(2(1(0(0(1(x1)))))))))))))))))))))))) -> 1(0(1(0(0(2(2(1(1(2(0(2(2(0(0(2(0(1(0(1(1(1(1(2(2(2(1(x1))))))))))))))))))))))))))) 1(2(2(1(2(0(1(2(0(1(2(1(0(0(0(2(2(2(0(2(2(0(2(1(x1)))))))))))))))))))))))) -> 2(1(0(2(0(2(1(1(1(1(2(0(0(1(0(2(1(0(2(0(2(0(1(1(2(x1))))))))))))))))))))))))) 2(1(1(2(0(0(0(2(0(2(2(2(2(0(1(0(1(0(2(2(1(1(1(2(x1)))))))))))))))))))))))) -> 2(1(1(2(1(1(2(1(2(1(2(0(1(1(0(0(0(1(1(1(2(1(2(1(1(x1))))))))))))))))))))))))) 0(1(0(1(1(0(1(1(0(2(2(0(2(1(0(0(2(0(0(1(2(0(2(0(2(x1))))))))))))))))))))))))) -> 1(1(2(1(1(1(1(2(0(2(0(2(1(2(2(0(1(1(2(0(1(1(0(2(2(2(0(x1))))))))))))))))))))))))))) 0(1(2(2(1(0(0(2(1(1(2(0(1(0(2(0(1(0(1(2(2(0(1(1(0(x1))))))))))))))))))))))))) -> 0(1(1(1(2(1(1(2(2(0(0(0(0(1(1(2(0(0(0(2(1(2(1(1(0(1(x1)))))))))))))))))))))))))) 1(0(1(0(0(0(2(0(1(2(0(2(0(2(0(1(0(2(2(0(0(1(0(1(1(x1))))))))))))))))))))))))) -> 1(2(0(0(2(0(1(0(1(0(2(2(1(1(0(0(0(1(2(1(1(1(1(0(2(1(x1)))))))))))))))))))))))))) 1(1(0(2(0(1(2(1(0(0(1(0(0(2(1(0(2(0(1(0(0(0(1(0(1(x1))))))))))))))))))))))))) -> 2(1(0(2(0(0(1(1(2(2(1(2(0(2(2(1(2(1(2(2(1(0(2(1(2(1(x1)))))))))))))))))))))))))) 0(0(0(1(0(2(1(2(0(1(2(0(0(2(1(0(2(0(2(2(2(2(0(2(0(0(x1)))))))))))))))))))))))))) -> 0(2(1(0(0(1(0(1(0(0(1(0(1(0(0(2(2(0(1(1(1(1(1(0(1(1(0(2(0(x1))))))))))))))))))))))))))))) 0(0(1(2(2(0(1(2(0(0(0(2(0(2(1(2(0(0(0(2(0(2(2(2(0(1(x1)))))))))))))))))))))))))) -> 1(1(0(1(2(1(2(1(1(1(0(0(1(1(2(2(0(2(0(0(2(0(0(1(1(2(1(x1))))))))))))))))))))))))))) 0(2(0(2(2(2(0(1(1(2(2(2(0(0(1(2(0(2(2(1(2(0(0(1(2(2(x1)))))))))))))))))))))))))) -> 0(1(1(2(1(0(2(1(1(1(1(2(1(1(1(2(1(1(2(0(2(0(2(2(1(2(1(2(0(x1))))))))))))))))))))))))))))) 2(1(2(2(0(0(2(0(0(0(1(1(2(0(1(1(2(2(2(0(0(0(2(1(2(1(x1)))))))))))))))))))))))))) -> 1(1(0(0(0(1(1(0(2(0(1(2(1(1(1(1(2(1(1(1(1(2(1(0(1(2(2(1(x1)))))))))))))))))))))))))))) 2(2(0(2(1(2(0(2(0(2(0(0(0(2(1(2(2(0(1(0(1(0(1(0(1(0(x1)))))))))))))))))))))))))) -> 1(1(0(1(2(1(0(2(2(2(0(1(2(1(1(1(2(2(2(2(1(2(2(1(0(2(2(2(0(x1))))))))))))))))))))))))))))) 2(2(2(0(0(1(0(1(2(0(0(0(2(0(2(2(0(1(0(0(2(1(2(2(2(2(x1)))))))))))))))))))))))))) -> 2(1(2(1(0(1(2(0(1(0(2(2(0(1(1(2(0(1(2(2(2(2(0(0(0(1(2(x1))))))))))))))))))))))))))) 2(2(2(2(0(1(1(2(0(2(0(1(1(2(0(1(2(1(1(2(2(1(2(1(2(2(x1)))))))))))))))))))))))))) -> 2(0(0(1(1(2(2(1(1(1(1(0(1(2(1(2(1(1(2(1(2(2(1(0(2(1(1(0(2(x1))))))))))))))))))))))))))))) 0(1(0(0(2(0(0(2(2(2(0(1(2(1(1(1(2(0(1(1(0(0(0(1(0(1(0(x1))))))))))))))))))))))))))) -> 0(1(0(0(1(0(1(2(0(2(0(0(2(0(1(2(2(1(1(1(0(1(2(1(0(0(0(x1))))))))))))))))))))))))))) 0(1(1(2(0(0(2(2(0(0(1(2(2(2(1(2(2(2(2(0(2(0(2(0(0(0(1(x1))))))))))))))))))))))))))) -> 0(1(0(1(1(2(0(1(0(1(1(1(0(2(2(0(1(1(0(0(0(2(0(1(1(1(0(0(x1)))))))))))))))))))))))))))) 1(0(1(1(1(2(2(1(0(1(0(2(1(1(0(2(1(0(1(2(1(0(2(2(1(0(0(x1))))))))))))))))))))))))))) -> 2(2(2(2(1(2(1(1(1(2(2(2(1(2(2(2(1(1(0(1(1(2(1(0(2(2(1(1(x1)))))))))))))))))))))))))))) 2(0(2(0(1(2(0(1(0(2(2(2(0(1(1(0(0(1(1(2(2(2(1(0(1(2(1(x1))))))))))))))))))))))))))) -> 2(1(0(1(1(1(1(2(1(2(0(2(0(1(2(2(0(2(1(2(1(1(2(0(2(2(1(0(x1)))))))))))))))))))))))))))) 2(2(2(0(2(1(2(2(1(0(1(1(1(0(1(2(1(1(2(1(2(0(1(0(2(2(1(x1))))))))))))))))))))))))))) -> 0(1(0(1(2(1(2(2(1(2(1(2(1(0(2(1(2(2(1(1(2(1(1(0(2(0(2(x1))))))))))))))))))))))))))) 0(0(0(0(0(1(0(2(2(2(0(0(2(0(1(0(1(2(1(1(0(1(0(2(0(0(1(0(x1)))))))))))))))))))))))))))) -> 1(0(2(1(2(1(2(1(1(2(1(1(1(1(1(1(1(1(0(2(2(1(2(1(1(1(0(1(0(1(x1)))))))))))))))))))))))))))))) 1(2(2(1(1(2(2(1(1(2(1(2(2(0(0(1(2(1(0(1(1(0(1(0(0(2(2(0(x1)))))))))))))))))))))))))))) -> 1(2(1(2(1(0(1(2(2(2(1(2(0(0(0(2(1(0(0(1(1(1(0(0(1(1(1(1(1(0(x1)))))))))))))))))))))))))))))) 2(0(1(1(1(0(0(0(0(2(0(1(2(0(1(0(1(2(2(0(2(2(2(0(2(1(0(0(x1)))))))))))))))))))))))))))) -> 1(1(0(1(1(2(2(1(2(1(0(2(0(0(2(1(1(1(1(2(0(1(0(1(1(1(1(2(1(1(x1)))))))))))))))))))))))))))))) 2(2(2(2(2(1(0(2(2(0(2(1(0(0(1(1(2(1(1(1(1(2(2(0(0(2(2(0(x1)))))))))))))))))))))))))))) -> 2(1(1(0(1(1(2(2(2(2(2(1(1(1(0(2(1(0(1(1(0(2(2(1(0(2(1(1(1(2(x1)))))))))))))))))))))))))))))) 0(0(1(1(2(2(0(1(1(0(1(2(2(0(2(0(2(1(0(0(1(1(0(1(0(0(0(1(1(x1))))))))))))))))))))))))))))) -> 0(1(2(0(1(1(0(1(1(0(2(1(2(1(1(0(2(1(1(2(2(1(1(2(1(2(2(2(0(2(x1)))))))))))))))))))))))))))))) 0(2(2(1(0(1(2(0(1(0(1(2(0(1(1(0(1(2(0(0(2(0(1(2(0(1(1(2(1(x1))))))))))))))))))))))))))))) -> 0(1(2(1(2(1(2(2(2(1(1(0(0(1(2(2(2(2(2(2(2(1(0(0(0(1(2(0(0(1(x1)))))))))))))))))))))))))))))) 2(1(1(2(1(1(1(0(2(1(1(2(1(1(2(2(1(1(2(0(1(0(1(2(0(1(0(0(1(x1))))))))))))))))))))))))))))) -> 2(2(1(1(1(0(1(2(1(0(1(2(1(1(1(2(1(0(2(0(1(2(1(0(0(1(1(2(1(x1))))))))))))))))))))))))))))) The (relative) TRS S consists of the following rules: encArg(cons_0(x_1)) -> 0(encArg(x_1)) encArg(cons_2(x_1)) -> 2(encArg(x_1)) encArg(cons_1(x_1)) -> 1(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: INNERMOST ---------------------------------------- (3) SInnermostTerminationProof (BOTH CONCRETE BOUNDS(ID, ID)) proved innermost termination of relative rules ---------------------------------------- (4) Obligation: The Runtime Complexity (innermost) of the given CpxRelTRS could be proven to be BOUNDS(1, n^1). The TRS R consists of the following rules: 0(x1) -> 1(1(x1)) 0(0(x1)) -> 1(1(2(x1))) 2(0(x1)) -> 1(1(0(x1))) 2(0(0(x1))) -> 0(1(2(1(1(x1))))) 2(2(1(x1))) -> 1(1(0(1(1(x1))))) 0(2(0(0(x1)))) -> 0(2(1(1(1(1(1(1(1(1(x1)))))))))) 0(0(2(0(2(x1))))) -> 1(2(2(1(1(2(2(1(1(x1))))))))) 0(2(0(2(0(0(x1)))))) -> 0(1(2(2(1(2(0(x1))))))) 2(1(0(1(2(0(0(x1))))))) -> 1(1(1(0(1(2(2(1(1(x1))))))))) 2(2(0(0(2(0(0(x1))))))) -> 2(0(1(1(0(0(2(1(1(x1))))))))) 2(2(0(2(1(0(1(x1))))))) -> 0(1(0(1(2(1(1(2(1(1(x1)))))))))) 0(0(0(0(2(0(1(2(x1)))))))) -> 1(1(1(2(1(1(1(0(0(0(2(x1))))))))))) 0(0(2(1(0(2(2(1(x1)))))))) -> 1(1(0(1(0(2(1(1(1(0(x1)))))))))) 2(0(2(1(1(2(2(0(x1)))))))) -> 2(0(0(2(2(1(2(1(x1)))))))) 2(1(2(0(1(0(2(2(x1)))))))) -> 2(1(0(1(1(1(2(1(0(x1))))))))) 0(2(0(1(2(0(1(1(2(x1))))))))) -> 1(2(2(1(1(1(2(2(1(0(x1)))))))))) 1(1(2(2(0(1(0(1(1(x1))))))))) -> 1(1(1(0(1(1(0(1(1(1(1(x1))))))))))) 2(1(0(1(2(1(2(2(2(x1))))))))) -> 1(1(0(1(0(0(1(1(1(1(2(x1))))))))))) 2(2(0(2(1(0(1(0(1(x1))))))))) -> 2(1(1(1(0(2(0(2(0(x1))))))))) 0(0(1(0(2(2(0(1(2(0(x1)))))))))) -> 2(2(2(1(1(1(1(2(2(1(2(2(2(1(2(x1))))))))))))))) 0(1(1(0(0(2(0(1(2(2(x1)))))))))) -> 1(1(2(1(1(2(1(1(0(0(0(2(1(x1))))))))))))) 1(0(1(1(0(2(2(0(2(0(x1)))))))))) -> 1(1(0(2(2(1(0(2(0(0(x1)))))))))) 1(0(1(2(2(0(0(2(2(1(x1)))))))))) -> 1(0(1(2(0(1(0(1(1(1(1(2(x1)))))))))))) 2(0(1(0(0(1(0(0(2(2(x1)))))))))) -> 1(2(2(1(1(2(2(0(2(0(2(1(1(x1))))))))))))) 0(0(0(1(2(1(2(1(2(0(1(x1))))))))))) -> 1(2(2(1(0(0(1(1(2(2(1(2(x1)))))))))))) 0(0(2(0(0(1(0(1(1(1(2(x1))))))))))) -> 1(2(1(1(1(0(2(1(0(1(2(2(1(x1))))))))))))) 0(0(2(0(2(2(2(2(2(2(0(x1))))))))))) -> 0(2(0(1(0(0(1(1(1(1(2(1(x1)))))))))))) 0(1(2(0(2(1(0(0(0(0(1(x1))))))))))) -> 2(2(1(2(0(1(2(1(2(0(1(2(x1)))))))))))) 0(2(0(2(2(0(2(0(0(0(2(x1))))))))))) -> 0(1(1(0(2(2(1(1(1(0(1(2(0(2(x1)))))))))))))) 1(2(2(2(2(0(2(1(0(0(0(x1))))))))))) -> 2(1(1(2(0(1(0(0(1(0(1(1(x1)))))))))))) 0(1(0(1(0(2(1(1(2(0(2(0(x1)))))))))))) -> 1(1(1(1(0(2(1(1(2(1(2(2(2(2(1(1(x1)))))))))))))))) 0(1(1(2(0(2(0(2(2(2(1(0(x1)))))))))))) -> 2(0(1(0(0(1(1(0(1(1(0(2(0(x1))))))))))))) 0(1(1(2(2(1(1(2(2(0(0(0(x1)))))))))))) -> 2(2(1(1(2(1(1(1(2(1(1(0(2(1(x1)))))))))))))) 0(1(2(0(1(1(0(1(2(2(0(0(x1)))))))))))) -> 1(1(1(1(0(1(2(0(0(2(1(0(2(1(x1)))))))))))))) 0(1(2(2(0(0(1(2(2(0(0(0(x1)))))))))))) -> 1(1(2(2(2(2(0(2(1(2(1(0(1(x1))))))))))))) 0(1(2(2(0(1(1(0(2(0(0(0(x1)))))))))))) -> 1(2(1(2(1(2(0(2(0(2(1(1(0(x1))))))))))))) 2(1(0(0(0(0(2(0(0(0(2(0(x1)))))))))))) -> 1(2(1(2(2(0(2(2(1(2(1(1(0(1(1(x1))))))))))))))) 2(0(2(0(1(2(2(0(2(1(0(0(0(x1))))))))))))) -> 1(1(1(1(2(0(1(0(1(0(2(0(1(1(2(1(x1)))))))))))))))) 2(2(2(2(0(0(1(2(2(1(1(0(0(x1))))))))))))) -> 2(2(2(0(0(2(0(1(1(0(1(1(1(1(1(x1))))))))))))))) 0(0(1(0(1(1(1(0(1(0(2(0(0(1(x1)))))))))))))) -> 1(2(1(1(1(1(0(1(1(0(0(2(1(0(0(0(x1)))))))))))))))) 0(2(2(1(0(1(0(2(1(2(2(1(1(2(x1)))))))))))))) -> 2(1(1(2(2(1(0(1(2(1(2(1(2(1(0(x1))))))))))))))) 0(2(2(0(1(0(0(2(2(2(1(2(2(2(2(x1))))))))))))))) -> 2(2(1(0(2(1(2(2(0(0(0(1(0(0(1(1(x1)))))))))))))))) 1(0(0(0(2(1(0(0(0(2(0(2(2(0(2(x1))))))))))))))) -> 1(1(1(0(0(2(1(0(1(2(1(0(0(0(0(2(x1)))))))))))))))) 1(0(1(2(0(1(1(0(2(1(0(2(0(1(0(x1))))))))))))))) -> 1(0(0(1(1(1(2(1(0(2(0(1(0(1(1(1(0(x1))))))))))))))))) 0(2(1(0(0(1(0(2(2(0(0(2(0(0(2(1(x1)))))))))))))))) -> 0(1(2(1(2(0(0(1(1(2(2(2(0(1(1(2(2(2(1(2(x1)))))))))))))))))))) 2(0(2(0(2(2(0(2(0(1(0(0(0(0(1(2(x1)))))))))))))))) -> 1(1(2(1(0(0(2(1(1(2(1(2(1(1(2(1(2(1(2(2(0(2(x1)))))))))))))))))))))) 2(0(2(2(2(2(1(2(0(1(0(1(0(2(2(1(x1)))))))))))))))) -> 2(1(2(1(2(2(2(0(0(1(2(2(1(0(0(2(x1)))))))))))))))) 0(1(0(2(0(1(2(2(0(1(0(0(2(0(1(2(2(x1))))))))))))))))) -> 1(2(2(1(2(1(2(2(1(0(0(0(0(0(0(0(2(x1))))))))))))))))) 0(1(0(2(2(0(2(2(0(2(1(0(2(1(0(0(2(x1))))))))))))))))) -> 1(1(1(0(1(2(2(0(2(2(1(2(2(0(1(0(1(0(x1)))))))))))))))))) 0(2(0(2(2(2(0(1(0(2(0(2(0(2(1(2(0(x1))))))))))))))))) -> 1(0(1(1(0(2(2(0(1(2(1(0(0(1(2(1(0(1(x1)))))))))))))))))) 1(1(0(1(0(2(1(0(2(0(1(2(2(2(2(1(1(x1))))))))))))))))) -> 1(1(2(2(1(1(0(0(2(0(0(1(1(0(2(2(1(1(x1)))))))))))))))))) 1(2(2(2(0(2(1(2(0(1(0(2(1(0(2(1(0(x1))))))))))))))))) -> 1(1(1(2(1(0(1(1(2(2(0(1(2(1(2(1(0(0(2(1(2(1(2(x1))))))))))))))))))))))) 2(1(2(0(1(2(1(0(0(2(0(0(2(0(0(1(2(x1))))))))))))))))) -> 1(2(1(2(1(1(2(0(2(0(2(1(1(1(1(0(2(1(1(x1))))))))))))))))))) 0(2(0(2(2(1(0(1(2(0(0(2(1(0(2(2(1(1(x1)))))))))))))))))) -> 1(1(1(0(2(0(1(2(0(2(2(0(1(0(1(0(0(1(1(x1))))))))))))))))))) 0(2(2(2(0(1(0(2(0(1(0(0(0(2(2(2(2(0(x1)))))))))))))))))) -> 2(1(2(1(2(0(0(0(2(0(0(1(1(0(2(1(2(0(0(2(x1)))))))))))))))))))) 0(1(0(0(0(0(0(2(2(1(0(2(2(0(2(1(2(2(1(x1))))))))))))))))))) -> 2(1(2(1(1(1(2(1(1(0(2(2(0(1(0(0(2(0(2(1(1(0(1(1(2(1(x1)))))))))))))))))))))))))) 0(1(0(2(0(2(2(1(2(2(1(0(2(0(1(0(2(2(2(x1))))))))))))))))))) -> 0(1(0(2(2(1(1(0(1(2(0(2(1(2(1(2(1(1(1(1(x1)))))))))))))))))))) 1(0(1(1(2(0(1(1(0(0(2(1(0(0(2(2(0(0(0(x1))))))))))))))))))) -> 2(1(1(0(1(1(2(1(2(2(2(2(1(1(1(1(2(1(1(2(0(0(2(1(x1)))))))))))))))))))))))) 1(0(1(2(0(1(0(2(2(1(0(1(0(0(2(2(2(0(0(x1))))))))))))))))))) -> 1(0(2(1(1(1(1(0(2(1(0(1(2(0(0(2(1(1(0(0(1(1(0(2(x1)))))))))))))))))))))))) 1(2(0(2(2(0(0(1(0(0(2(0(2(2(1(0(1(0(2(x1))))))))))))))))))) -> 2(2(1(2(1(0(2(1(2(2(1(2(2(0(2(2(0(2(0(0(1(1(1(x1))))))))))))))))))))))) 2(2(2(2(0(0(1(0(1(1(1(2(0(2(0(2(2(0(0(x1))))))))))))))))))) -> 2(0(0(0(1(1(0(2(2(2(1(2(0(0(1(1(2(1(1(1(2(1(2(x1))))))))))))))))))))))) 0(0(1(0(0(0(2(2(1(0(2(1(2(1(2(2(2(0(0(2(x1)))))))))))))))))))) -> 0(0(2(0(2(1(1(2(0(0(1(1(2(1(1(1(2(1(1(1(1(0(1(x1))))))))))))))))))))))) 0(1(2(1(0(1(0(2(2(2(2(1(0(2(1(0(1(1(1(1(x1)))))))))))))))))))) -> 0(1(1(1(1(0(1(1(2(0(0(2(2(0(1(2(1(1(2(2(x1)))))))))))))))))))) 1(1(0(0(1(2(1(0(0(1(1(2(1(0(0(0(1(2(1(2(x1)))))))))))))))))))) -> 2(2(1(2(1(2(1(0(0(1(1(1(2(1(1(1(1(1(1(1(1(2(1(x1))))))))))))))))))))))) 1(1(0(2(2(0(0(0(2(1(2(1(0(1(0(0(0(0(0(1(x1)))))))))))))))))))) -> 1(2(1(1(2(1(0(0(1(2(1(2(1(2(2(2(1(0(2(1(0(0(x1)))))))))))))))))))))) 0(0(1(2(2(2(1(2(2(0(0(0(2(1(2(1(2(1(2(2(2(x1))))))))))))))))))))) -> 1(1(2(1(1(1(1(2(1(1(0(2(1(0(0(2(1(2(1(2(1(0(0(x1))))))))))))))))))))))) 0(0(2(2(0(1(2(0(0(0(1(2(2(2(0(0(1(1(0(2(0(x1))))))))))))))))))))) -> 1(2(1(0(1(1(1(2(1(2(0(2(1(1(2(0(2(2(1(2(0(0(1(1(0(2(x1)))))))))))))))))))))))))) 0(2(2(0(1(0(0(0(2(2(1(0(1(2(0(1(0(1(0(0(0(x1))))))))))))))))))))) -> 0(0(2(1(1(2(1(0(2(0(1(2(1(0(2(1(1(2(2(0(0(1(0(2(x1)))))))))))))))))))))))) 0(2(2(0(1(2(2(2(2(1(2(0(2(1(0(1(0(2(0(1(2(x1))))))))))))))))))))) -> 0(2(0(0(2(1(1(0(1(1(1(0(2(2(2(1(1(1(1(2(0(0(0(x1))))))))))))))))))))))) 1(0(0(0(1(2(1(2(0(2(0(0(1(0(0(0(1(2(1(0(2(x1))))))))))))))))))))) -> 2(2(2(2(1(1(2(1(0(1(0(2(2(1(0(0(1(1(1(1(0(1(0(x1))))))))))))))))))))))) 1(0(2(1(1(1(1(0(0(2(2(0(1(0(1(0(2(2(0(0(0(x1))))))))))))))))))))) -> 1(1(1(1(0(2(1(2(2(1(1(1(0(2(2(1(2(2(1(0(1(2(x1)))))))))))))))))))))) 2(0(0(2(2(2(1(1(2(2(0(2(1(0(0(0(2(2(1(0(1(x1))))))))))))))))))))) -> 2(1(1(2(1(1(1(0(1(2(2(1(2(0(0(0(2(0(0(1(2(0(x1)))))))))))))))))))))) 2(0(2(2(2(0(0(1(2(2(1(1(2(0(0(0(2(0(0(0(2(x1))))))))))))))))))))) -> 1(1(1(0(1(2(2(1(2(2(2(1(1(1(1(1(1(1(0(2(1(0(1(0(x1)))))))))))))))))))))))) 2(1(2(1(1(2(0(0(1(1(0(1(1(2(1(1(1(1(0(1(2(x1))))))))))))))))))))) -> 1(1(1(1(2(1(0(1(0(1(2(2(1(2(1(1(1(0(0(1(2(x1))))))))))))))))))))) 2(2(0(0(2(1(0(1(0(0(0(0(0(1(0(0(2(0(0(1(1(x1))))))))))))))))))))) -> 2(0(2(0(2(0(0(0(2(2(1(1(2(2(2(1(1(1(1(1(2(1(2(x1))))))))))))))))))))))) 2(2(0(2(1(1(0(1(2(0(1(1(2(0(2(0(1(0(2(0(1(x1))))))))))))))))))))) -> 2(1(2(1(0(1(1(1(1(0(2(2(2(1(2(2(1(2(1(1(0(2(x1)))))))))))))))))))))) 0(0(1(2(2(0(1(1(2(0(1(0(0(0(0(1(0(1(2(2(2(1(x1)))))))))))))))))))))) -> 1(1(1(1(2(2(2(0(2(0(2(2(1(0(2(0(2(1(2(1(2(1(1(1(0(1(x1)))))))))))))))))))))))))) 1(0(1(1(0(0(1(1(1(0(2(2(0(1(0(0(1(2(0(0(2(0(x1)))))))))))))))))))))) -> 1(1(1(2(2(0(2(1(2(0(2(0(0(0(1(2(1(2(1(2(0(2(1(x1))))))))))))))))))))))) 2(0(0(1(1(2(2(2(2(1(2(0(1(2(0(2(2(1(2(2(0(2(x1)))))))))))))))))))))) -> 1(1(1(0(0(2(2(2(1(2(2(0(1(1(1(1(2(1(0(1(1(2(0(2(2(x1))))))))))))))))))))))))) 2(0(1(2(2(0(1(0(0(0(2(1(2(1(2(0(1(1(2(0(1(0(x1)))))))))))))))))))))) -> 0(2(1(1(0(2(1(1(0(1(1(2(2(0(1(2(2(1(0(1(1(1(0(x1))))))))))))))))))))))) 2(2(1(0(1(1(2(0(2(1(1(0(0(1(2(1(2(2(2(0(2(1(x1)))))))))))))))))))))) -> 2(1(1(2(1(2(0(2(1(1(1(1(2(1(1(2(1(1(0(1(1(2(2(1(1(x1))))))))))))))))))))))))) 2(2(2(0(0(1(0(2(0(2(0(0(1(2(1(2(1(2(0(1(1(1(x1)))))))))))))))))))))) -> 1(1(2(1(2(1(2(1(2(1(0(2(0(1(1(0(1(0(0(2(0(2(1(2(1(x1))))))))))))))))))))))))) 0(0(1(2(0(0(1(0(0(2(0(1(0(1(2(0(2(0(0(2(2(0(2(x1))))))))))))))))))))))) -> 0(0(1(0(1(2(2(0(1(0(0(2(0(1(1(1(0(1(2(1(2(0(0(1(0(1(x1)))))))))))))))))))))))))) 2(2(1(2(0(0(0(0(1(2(1(0(1(0(2(0(1(0(0(1(2(0(2(x1))))))))))))))))))))))) -> 2(1(1(2(2(2(2(1(0(1(2(0(1(1(1(1(1(2(1(2(1(1(0(2(1(1(0(0(2(x1))))))))))))))))))))))))))))) 1(2(0(2(1(2(0(0(0(0(0(0(2(2(1(0(2(2(0(2(1(0(0(1(x1)))))))))))))))))))))))) -> 1(0(1(0(0(2(2(1(1(2(0(2(2(0(0(2(0(1(0(1(1(1(1(2(2(2(1(x1))))))))))))))))))))))))))) 1(2(2(1(2(0(1(2(0(1(2(1(0(0(0(2(2(2(0(2(2(0(2(1(x1)))))))))))))))))))))))) -> 2(1(0(2(0(2(1(1(1(1(2(0(0(1(0(2(1(0(2(0(2(0(1(1(2(x1))))))))))))))))))))))))) 2(1(1(2(0(0(0(2(0(2(2(2(2(0(1(0(1(0(2(2(1(1(1(2(x1)))))))))))))))))))))))) -> 2(1(1(2(1(1(2(1(2(1(2(0(1(1(0(0(0(1(1(1(2(1(2(1(1(x1))))))))))))))))))))))))) 0(1(0(1(1(0(1(1(0(2(2(0(2(1(0(0(2(0(0(1(2(0(2(0(2(x1))))))))))))))))))))))))) -> 1(1(2(1(1(1(1(2(0(2(0(2(1(2(2(0(1(1(2(0(1(1(0(2(2(2(0(x1))))))))))))))))))))))))))) 0(1(2(2(1(0(0(2(1(1(2(0(1(0(2(0(1(0(1(2(2(0(1(1(0(x1))))))))))))))))))))))))) -> 0(1(1(1(2(1(1(2(2(0(0(0(0(1(1(2(0(0(0(2(1(2(1(1(0(1(x1)))))))))))))))))))))))))) 1(0(1(0(0(0(2(0(1(2(0(2(0(2(0(1(0(2(2(0(0(1(0(1(1(x1))))))))))))))))))))))))) -> 1(2(0(0(2(0(1(0(1(0(2(2(1(1(0(0(0(1(2(1(1(1(1(0(2(1(x1)))))))))))))))))))))))))) 1(1(0(2(0(1(2(1(0(0(1(0(0(2(1(0(2(0(1(0(0(0(1(0(1(x1))))))))))))))))))))))))) -> 2(1(0(2(0(0(1(1(2(2(1(2(0(2(2(1(2(1(2(2(1(0(2(1(2(1(x1)))))))))))))))))))))))))) 0(0(0(1(0(2(1(2(0(1(2(0(0(2(1(0(2(0(2(2(2(2(0(2(0(0(x1)))))))))))))))))))))))))) -> 0(2(1(0(0(1(0(1(0(0(1(0(1(0(0(2(2(0(1(1(1(1(1(0(1(1(0(2(0(x1))))))))))))))))))))))))))))) 0(0(1(2(2(0(1(2(0(0(0(2(0(2(1(2(0(0(0(2(0(2(2(2(0(1(x1)))))))))))))))))))))))))) -> 1(1(0(1(2(1(2(1(1(1(0(0(1(1(2(2(0(2(0(0(2(0(0(1(1(2(1(x1))))))))))))))))))))))))))) 0(2(0(2(2(2(0(1(1(2(2(2(0(0(1(2(0(2(2(1(2(0(0(1(2(2(x1)))))))))))))))))))))))))) -> 0(1(1(2(1(0(2(1(1(1(1(2(1(1(1(2(1(1(2(0(2(0(2(2(1(2(1(2(0(x1))))))))))))))))))))))))))))) 2(1(2(2(0(0(2(0(0(0(1(1(2(0(1(1(2(2(2(0(0(0(2(1(2(1(x1)))))))))))))))))))))))))) -> 1(1(0(0(0(1(1(0(2(0(1(2(1(1(1(1(2(1(1(1(1(2(1(0(1(2(2(1(x1)))))))))))))))))))))))))))) 2(2(0(2(1(2(0(2(0(2(0(0(0(2(1(2(2(0(1(0(1(0(1(0(1(0(x1)))))))))))))))))))))))))) -> 1(1(0(1(2(1(0(2(2(2(0(1(2(1(1(1(2(2(2(2(1(2(2(1(0(2(2(2(0(x1))))))))))))))))))))))))))))) 2(2(2(0(0(1(0(1(2(0(0(0(2(0(2(2(0(1(0(0(2(1(2(2(2(2(x1)))))))))))))))))))))))))) -> 2(1(2(1(0(1(2(0(1(0(2(2(0(1(1(2(0(1(2(2(2(2(0(0(0(1(2(x1))))))))))))))))))))))))))) 2(2(2(2(0(1(1(2(0(2(0(1(1(2(0(1(2(1(1(2(2(1(2(1(2(2(x1)))))))))))))))))))))))))) -> 2(0(0(1(1(2(2(1(1(1(1(0(1(2(1(2(1(1(2(1(2(2(1(0(2(1(1(0(2(x1))))))))))))))))))))))))))))) 0(1(0(0(2(0(0(2(2(2(0(1(2(1(1(1(2(0(1(1(0(0(0(1(0(1(0(x1))))))))))))))))))))))))))) -> 0(1(0(0(1(0(1(2(0(2(0(0(2(0(1(2(2(1(1(1(0(1(2(1(0(0(0(x1))))))))))))))))))))))))))) 0(1(1(2(0(0(2(2(0(0(1(2(2(2(1(2(2(2(2(0(2(0(2(0(0(0(1(x1))))))))))))))))))))))))))) -> 0(1(0(1(1(2(0(1(0(1(1(1(0(2(2(0(1(1(0(0(0(2(0(1(1(1(0(0(x1)))))))))))))))))))))))))))) 1(0(1(1(1(2(2(1(0(1(0(2(1(1(0(2(1(0(1(2(1(0(2(2(1(0(0(x1))))))))))))))))))))))))))) -> 2(2(2(2(1(2(1(1(1(2(2(2(1(2(2(2(1(1(0(1(1(2(1(0(2(2(1(1(x1)))))))))))))))))))))))))))) 2(0(2(0(1(2(0(1(0(2(2(2(0(1(1(0(0(1(1(2(2(2(1(0(1(2(1(x1))))))))))))))))))))))))))) -> 2(1(0(1(1(1(1(2(1(2(0(2(0(1(2(2(0(2(1(2(1(1(2(0(2(2(1(0(x1)))))))))))))))))))))))))))) 2(2(2(0(2(1(2(2(1(0(1(1(1(0(1(2(1(1(2(1(2(0(1(0(2(2(1(x1))))))))))))))))))))))))))) -> 0(1(0(1(2(1(2(2(1(2(1(2(1(0(2(1(2(2(1(1(2(1(1(0(2(0(2(x1))))))))))))))))))))))))))) 0(0(0(0(0(1(0(2(2(2(0(0(2(0(1(0(1(2(1(1(0(1(0(2(0(0(1(0(x1)))))))))))))))))))))))))))) -> 1(0(2(1(2(1(2(1(1(2(1(1(1(1(1(1(1(1(0(2(2(1(2(1(1(1(0(1(0(1(x1)))))))))))))))))))))))))))))) 1(2(2(1(1(2(2(1(1(2(1(2(2(0(0(1(2(1(0(1(1(0(1(0(0(2(2(0(x1)))))))))))))))))))))))))))) -> 1(2(1(2(1(0(1(2(2(2(1(2(0(0(0(2(1(0(0(1(1(1(0(0(1(1(1(1(1(0(x1)))))))))))))))))))))))))))))) 2(0(1(1(1(0(0(0(0(2(0(1(2(0(1(0(1(2(2(0(2(2(2(0(2(1(0(0(x1)))))))))))))))))))))))))))) -> 1(1(0(1(1(2(2(1(2(1(0(2(0(0(2(1(1(1(1(2(0(1(0(1(1(1(1(2(1(1(x1)))))))))))))))))))))))))))))) 2(2(2(2(2(1(0(2(2(0(2(1(0(0(1(1(2(1(1(1(1(2(2(0(0(2(2(0(x1)))))))))))))))))))))))))))) -> 2(1(1(0(1(1(2(2(2(2(2(1(1(1(0(2(1(0(1(1(0(2(2(1(0(2(1(1(1(2(x1)))))))))))))))))))))))))))))) 0(0(1(1(2(2(0(1(1(0(1(2(2(0(2(0(2(1(0(0(1(1(0(1(0(0(0(1(1(x1))))))))))))))))))))))))))))) -> 0(1(2(0(1(1(0(1(1(0(2(1(2(1(1(0(2(1(1(2(2(1(1(2(1(2(2(2(0(2(x1)))))))))))))))))))))))))))))) 0(2(2(1(0(1(2(0(1(0(1(2(0(1(1(0(1(2(0(0(2(0(1(2(0(1(1(2(1(x1))))))))))))))))))))))))))))) -> 0(1(2(1(2(1(2(2(2(1(1(0(0(1(2(2(2(2(2(2(2(1(0(0(0(1(2(0(0(1(x1)))))))))))))))))))))))))))))) 2(1(1(2(1(1(1(0(2(1(1(2(1(1(2(2(1(1(2(0(1(0(1(2(0(1(0(0(1(x1))))))))))))))))))))))))))))) -> 2(2(1(1(1(0(1(2(1(0(1(2(1(1(1(2(1(0(2(0(1(2(1(0(0(1(1(2(1(x1))))))))))))))))))))))))))))) The (relative) TRS S consists of the following rules: encArg(cons_0(x_1)) -> 0(encArg(x_1)) encArg(cons_2(x_1)) -> 2(encArg(x_1)) encArg(cons_1(x_1)) -> 1(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: INNERMOST ---------------------------------------- (5) CpxTrsToCdtProof (UPPER BOUND(ID)) Converted Cpx (relative) TRS to CDT ---------------------------------------- (6) Obligation: Complexity Dependency Tuples Problem Rules: encArg(cons_0(z0)) -> 0(encArg(z0)) encArg(cons_2(z0)) -> 2(encArg(z0)) encArg(cons_1(z0)) -> 1(encArg(z0)) encode_0(z0) -> 0(encArg(z0)) encode_1(z0) -> 1(encArg(z0)) encode_2(z0) -> 2(encArg(z0)) 0(z0) -> 1(1(z0)) 0(0(z0)) -> 1(1(2(z0))) 0(2(0(0(z0)))) -> 0(2(1(1(1(1(1(1(1(1(z0)))))))))) 0(0(2(0(2(z0))))) -> 1(2(2(1(1(2(2(1(1(z0))))))))) 0(2(0(2(0(0(z0)))))) -> 0(1(2(2(1(2(0(z0))))))) 0(0(0(0(2(0(1(2(z0)))))))) -> 1(1(1(2(1(1(1(0(0(0(2(z0))))))))))) 0(0(2(1(0(2(2(1(z0)))))))) -> 1(1(0(1(0(2(1(1(1(0(z0)))))))))) 0(2(0(1(2(0(1(1(2(z0))))))))) -> 1(2(2(1(1(1(2(2(1(0(z0)))))))))) 0(0(1(0(2(2(0(1(2(0(z0)))))))))) -> 2(2(2(1(1(1(1(2(2(1(2(2(2(1(2(z0))))))))))))))) 0(1(1(0(0(2(0(1(2(2(z0)))))))))) -> 1(1(2(1(1(2(1(1(0(0(0(2(1(z0))))))))))))) 0(0(0(1(2(1(2(1(2(0(1(z0))))))))))) -> 1(2(2(1(0(0(1(1(2(2(1(2(z0)))))))))))) 0(0(2(0(0(1(0(1(1(1(2(z0))))))))))) -> 1(2(1(1(1(0(2(1(0(1(2(2(1(z0))))))))))))) 0(0(2(0(2(2(2(2(2(2(0(z0))))))))))) -> 0(2(0(1(0(0(1(1(1(1(2(1(z0)))))))))))) 0(1(2(0(2(1(0(0(0(0(1(z0))))))))))) -> 2(2(1(2(0(1(2(1(2(0(1(2(z0)))))))))))) 0(2(0(2(2(0(2(0(0(0(2(z0))))))))))) -> 0(1(1(0(2(2(1(1(1(0(1(2(0(2(z0)))))))))))))) 0(1(0(1(0(2(1(1(2(0(2(0(z0)))))))))))) -> 1(1(1(1(0(2(1(1(2(1(2(2(2(2(1(1(z0)))))))))))))))) 0(1(1(2(0(2(0(2(2(2(1(0(z0)))))))))))) -> 2(0(1(0(0(1(1(0(1(1(0(2(0(z0))))))))))))) 0(1(1(2(2(1(1(2(2(0(0(0(z0)))))))))))) -> 2(2(1(1(2(1(1(1(2(1(1(0(2(1(z0)))))))))))))) 0(1(2(0(1(1(0(1(2(2(0(0(z0)))))))))))) -> 1(1(1(1(0(1(2(0(0(2(1(0(2(1(z0)))))))))))))) 0(1(2(2(0(0(1(2(2(0(0(0(z0)))))))))))) -> 1(1(2(2(2(2(0(2(1(2(1(0(1(z0))))))))))))) 0(1(2(2(0(1(1(0(2(0(0(0(z0)))))))))))) -> 1(2(1(2(1(2(0(2(0(2(1(1(0(z0))))))))))))) 0(0(1(0(1(1(1(0(1(0(2(0(0(1(z0)))))))))))))) -> 1(2(1(1(1(1(0(1(1(0(0(2(1(0(0(0(z0)))))))))))))))) 0(2(2(1(0(1(0(2(1(2(2(1(1(2(z0)))))))))))))) -> 2(1(1(2(2(1(0(1(2(1(2(1(2(1(0(z0))))))))))))))) 0(2(2(0(1(0(0(2(2(2(1(2(2(2(2(z0))))))))))))))) -> 2(2(1(0(2(1(2(2(0(0(0(1(0(0(1(1(z0)))))))))))))))) 0(2(1(0(0(1(0(2(2(0(0(2(0(0(2(1(z0)))))))))))))))) -> 0(1(2(1(2(0(0(1(1(2(2(2(0(1(1(2(2(2(1(2(z0)))))))))))))))))))) 0(1(0(2(0(1(2(2(0(1(0(0(2(0(1(2(2(z0))))))))))))))))) -> 1(2(2(1(2(1(2(2(1(0(0(0(0(0(0(0(2(z0))))))))))))))))) 0(1(0(2(2(0(2(2(0(2(1(0(2(1(0(0(2(z0))))))))))))))))) -> 1(1(1(0(1(2(2(0(2(2(1(2(2(0(1(0(1(0(z0)))))))))))))))))) 0(2(0(2(2(2(0(1(0(2(0(2(0(2(1(2(0(z0))))))))))))))))) -> 1(0(1(1(0(2(2(0(1(2(1(0(0(1(2(1(0(1(z0)))))))))))))))))) 0(2(0(2(2(1(0(1(2(0(0(2(1(0(2(2(1(1(z0)))))))))))))))))) -> 1(1(1(0(2(0(1(2(0(2(2(0(1(0(1(0(0(1(1(z0))))))))))))))))))) 0(2(2(2(0(1(0(2(0(1(0(0(0(2(2(2(2(0(z0)))))))))))))))))) -> 2(1(2(1(2(0(0(0(2(0(0(1(1(0(2(1(2(0(0(2(z0)))))))))))))))))))) 0(1(0(0(0(0(0(2(2(1(0(2(2(0(2(1(2(2(1(z0))))))))))))))))))) -> 2(1(2(1(1(1(2(1(1(0(2(2(0(1(0(0(2(0(2(1(1(0(1(1(2(1(z0)))))))))))))))))))))))))) 0(1(0(2(0(2(2(1(2(2(1(0(2(0(1(0(2(2(2(z0))))))))))))))))))) -> 0(1(0(2(2(1(1(0(1(2(0(2(1(2(1(2(1(1(1(1(z0)))))))))))))))))))) 0(0(1(0(0(0(2(2(1(0(2(1(2(1(2(2(2(0(0(2(z0)))))))))))))))))))) -> 0(0(2(0(2(1(1(2(0(0(1(1(2(1(1(1(2(1(1(1(1(0(1(z0))))))))))))))))))))))) 0(1(2(1(0(1(0(2(2(2(2(1(0(2(1(0(1(1(1(1(z0)))))))))))))))))))) -> 0(1(1(1(1(0(1(1(2(0(0(2(2(0(1(2(1(1(2(2(z0)))))))))))))))))))) 0(0(1(2(2(2(1(2(2(0(0(0(2(1(2(1(2(1(2(2(2(z0))))))))))))))))))))) -> 1(1(2(1(1(1(1(2(1(1(0(2(1(0(0(2(1(2(1(2(1(0(0(z0))))))))))))))))))))))) 0(0(2(2(0(1(2(0(0(0(1(2(2(2(0(0(1(1(0(2(0(z0))))))))))))))))))))) -> 1(2(1(0(1(1(1(2(1(2(0(2(1(1(2(0(2(2(1(2(0(0(1(1(0(2(z0)))))))))))))))))))))))))) 0(2(2(0(1(0(0(0(2(2(1(0(1(2(0(1(0(1(0(0(0(z0))))))))))))))))))))) -> 0(0(2(1(1(2(1(0(2(0(1(2(1(0(2(1(1(2(2(0(0(1(0(2(z0)))))))))))))))))))))))) 0(2(2(0(1(2(2(2(2(1(2(0(2(1(0(1(0(2(0(1(2(z0))))))))))))))))))))) -> 0(2(0(0(2(1(1(0(1(1(1(0(2(2(2(1(1(1(1(2(0(0(0(z0))))))))))))))))))))))) 0(0(1(2(2(0(1(1(2(0(1(0(0(0(0(1(0(1(2(2(2(1(z0)))))))))))))))))))))) -> 1(1(1(1(2(2(2(0(2(0(2(2(1(0(2(0(2(1(2(1(2(1(1(1(0(1(z0)))))))))))))))))))))))))) 0(0(1(2(0(0(1(0(0(2(0(1(0(1(2(0(2(0(0(2(2(0(2(z0))))))))))))))))))))))) -> 0(0(1(0(1(2(2(0(1(0(0(2(0(1(1(1(0(1(2(1(2(0(0(1(0(1(z0)))))))))))))))))))))))))) 0(1(0(1(1(0(1(1(0(2(2(0(2(1(0(0(2(0(0(1(2(0(2(0(2(z0))))))))))))))))))))))))) -> 1(1(2(1(1(1(1(2(0(2(0(2(1(2(2(0(1(1(2(0(1(1(0(2(2(2(0(z0))))))))))))))))))))))))))) 0(1(2(2(1(0(0(2(1(1(2(0(1(0(2(0(1(0(1(2(2(0(1(1(0(z0))))))))))))))))))))))))) -> 0(1(1(1(2(1(1(2(2(0(0(0(0(1(1(2(0(0(0(2(1(2(1(1(0(1(z0)))))))))))))))))))))))))) 0(0(0(1(0(2(1(2(0(1(2(0(0(2(1(0(2(0(2(2(2(2(0(2(0(0(z0)))))))))))))))))))))))))) -> 0(2(1(0(0(1(0(1(0(0(1(0(1(0(0(2(2(0(1(1(1(1(1(0(1(1(0(2(0(z0))))))))))))))))))))))))))))) 0(0(1(2(2(0(1(2(0(0(0(2(0(2(1(2(0(0(0(2(0(2(2(2(0(1(z0)))))))))))))))))))))))))) -> 1(1(0(1(2(1(2(1(1(1(0(0(1(1(2(2(0(2(0(0(2(0(0(1(1(2(1(z0))))))))))))))))))))))))))) 0(2(0(2(2(2(0(1(1(2(2(2(0(0(1(2(0(2(2(1(2(0(0(1(2(2(z0)))))))))))))))))))))))))) -> 0(1(1(2(1(0(2(1(1(1(1(2(1(1(1(2(1(1(2(0(2(0(2(2(1(2(1(2(0(z0))))))))))))))))))))))))))))) 0(1(0(0(2(0(0(2(2(2(0(1(2(1(1(1(2(0(1(1(0(0(0(1(0(1(0(z0))))))))))))))))))))))))))) -> 0(1(0(0(1(0(1(2(0(2(0(0(2(0(1(2(2(1(1(1(0(1(2(1(0(0(0(z0))))))))))))))))))))))))))) 0(1(1(2(0(0(2(2(0(0(1(2(2(2(1(2(2(2(2(0(2(0(2(0(0(0(1(z0))))))))))))))))))))))))))) -> 0(1(0(1(1(2(0(1(0(1(1(1(0(2(2(0(1(1(0(0(0(2(0(1(1(1(0(0(z0)))))))))))))))))))))))))))) 0(0(0(0(0(1(0(2(2(2(0(0(2(0(1(0(1(2(1(1(0(1(0(2(0(0(1(0(z0)))))))))))))))))))))))))))) -> 1(0(2(1(2(1(2(1(1(2(1(1(1(1(1(1(1(1(0(2(2(1(2(1(1(1(0(1(0(1(z0)))))))))))))))))))))))))))))) 0(0(1(1(2(2(0(1(1(0(1(2(2(0(2(0(2(1(0(0(1(1(0(1(0(0(0(1(1(z0))))))))))))))))))))))))))))) -> 0(1(2(0(1(1(0(1(1(0(2(1(2(1(1(0(2(1(1(2(2(1(1(2(1(2(2(2(0(2(z0)))))))))))))))))))))))))))))) 0(2(2(1(0(1(2(0(1(0(1(2(0(1(1(0(1(2(0(0(2(0(1(2(0(1(1(2(1(z0))))))))))))))))))))))))))))) -> 0(1(2(1(2(1(2(2(2(1(1(0(0(1(2(2(2(2(2(2(2(1(0(0(0(1(2(0(0(1(z0)))))))))))))))))))))))))))))) 2(0(z0)) -> 1(1(0(z0))) 2(0(0(z0))) -> 0(1(2(1(1(z0))))) 2(2(1(z0))) -> 1(1(0(1(1(z0))))) 2(1(0(1(2(0(0(z0))))))) -> 1(1(1(0(1(2(2(1(1(z0))))))))) 2(2(0(0(2(0(0(z0))))))) -> 2(0(1(1(0(0(2(1(1(z0))))))))) 2(2(0(2(1(0(1(z0))))))) -> 0(1(0(1(2(1(1(2(1(1(z0)))))))))) 2(0(2(1(1(2(2(0(z0)))))))) -> 2(0(0(2(2(1(2(1(z0)))))))) 2(1(2(0(1(0(2(2(z0)))))))) -> 2(1(0(1(1(1(2(1(0(z0))))))))) 2(1(0(1(2(1(2(2(2(z0))))))))) -> 1(1(0(1(0(0(1(1(1(1(2(z0))))))))))) 2(2(0(2(1(0(1(0(1(z0))))))))) -> 2(1(1(1(0(2(0(2(0(z0))))))))) 2(0(1(0(0(1(0(0(2(2(z0)))))))))) -> 1(2(2(1(1(2(2(0(2(0(2(1(1(z0))))))))))))) 2(1(0(0(0(0(2(0(0(0(2(0(z0)))))))))))) -> 1(2(1(2(2(0(2(2(1(2(1(1(0(1(1(z0))))))))))))))) 2(0(2(0(1(2(2(0(2(1(0(0(0(z0))))))))))))) -> 1(1(1(1(2(0(1(0(1(0(2(0(1(1(2(1(z0)))))))))))))))) 2(2(2(2(0(0(1(2(2(1(1(0(0(z0))))))))))))) -> 2(2(2(0(0(2(0(1(1(0(1(1(1(1(1(z0))))))))))))))) 2(0(2(0(2(2(0(2(0(1(0(0(0(0(1(2(z0)))))))))))))))) -> 1(1(2(1(0(0(2(1(1(2(1(2(1(1(2(1(2(1(2(2(0(2(z0)))))))))))))))))))))) 2(0(2(2(2(2(1(2(0(1(0(1(0(2(2(1(z0)))))))))))))))) -> 2(1(2(1(2(2(2(0(0(1(2(2(1(0(0(2(z0)))))))))))))))) 2(1(2(0(1(2(1(0(0(2(0(0(2(0(0(1(2(z0))))))))))))))))) -> 1(2(1(2(1(1(2(0(2(0(2(1(1(1(1(0(2(1(1(z0))))))))))))))))))) 2(2(2(2(0(0(1(0(1(1(1(2(0(2(0(2(2(0(0(z0))))))))))))))))))) -> 2(0(0(0(1(1(0(2(2(2(1(2(0(0(1(1(2(1(1(1(2(1(2(z0))))))))))))))))))))))) 2(0(0(2(2(2(1(1(2(2(0(2(1(0(0(0(2(2(1(0(1(z0))))))))))))))))))))) -> 2(1(1(2(1(1(1(0(1(2(2(1(2(0(0(0(2(0(0(1(2(0(z0)))))))))))))))))))))) 2(0(2(2(2(0(0(1(2(2(1(1(2(0(0(0(2(0(0(0(2(z0))))))))))))))))))))) -> 1(1(1(0(1(2(2(1(2(2(2(1(1(1(1(1(1(1(0(2(1(0(1(0(z0)))))))))))))))))))))))) 2(1(2(1(1(2(0(0(1(1(0(1(1(2(1(1(1(1(0(1(2(z0))))))))))))))))))))) -> 1(1(1(1(2(1(0(1(0(1(2(2(1(2(1(1(1(0(0(1(2(z0))))))))))))))))))))) 2(2(0(0(2(1(0(1(0(0(0(0(0(1(0(0(2(0(0(1(1(z0))))))))))))))))))))) -> 2(0(2(0(2(0(0(0(2(2(1(1(2(2(2(1(1(1(1(1(2(1(2(z0))))))))))))))))))))))) 2(2(0(2(1(1(0(1(2(0(1(1(2(0(2(0(1(0(2(0(1(z0))))))))))))))))))))) -> 2(1(2(1(0(1(1(1(1(0(2(2(2(1(2(2(1(2(1(1(0(2(z0)))))))))))))))))))))) 2(0(0(1(1(2(2(2(2(1(2(0(1(2(0(2(2(1(2(2(0(2(z0)))))))))))))))))))))) -> 1(1(1(0(0(2(2(2(1(2(2(0(1(1(1(1(2(1(0(1(1(2(0(2(2(z0))))))))))))))))))))))))) 2(0(1(2(2(0(1(0(0(0(2(1(2(1(2(0(1(1(2(0(1(0(z0)))))))))))))))))))))) -> 0(2(1(1(0(2(1(1(0(1(1(2(2(0(1(2(2(1(0(1(1(1(0(z0))))))))))))))))))))))) 2(2(1(0(1(1(2(0(2(1(1(0(0(1(2(1(2(2(2(0(2(1(z0)))))))))))))))))))))) -> 2(1(1(2(1(2(0(2(1(1(1(1(2(1(1(2(1(1(0(1(1(2(2(1(1(z0))))))))))))))))))))))))) 2(2(2(0(0(1(0(2(0(2(0(0(1(2(1(2(1(2(0(1(1(1(z0)))))))))))))))))))))) -> 1(1(2(1(2(1(2(1(2(1(0(2(0(1(1(0(1(0(0(2(0(2(1(2(1(z0))))))))))))))))))))))))) 2(2(1(2(0(0(0(0(1(2(1(0(1(0(2(0(1(0(0(1(2(0(2(z0))))))))))))))))))))))) -> 2(1(1(2(2(2(2(1(0(1(2(0(1(1(1(1(1(2(1(2(1(1(0(2(1(1(0(0(2(z0))))))))))))))))))))))))))))) 2(1(1(2(0(0(0(2(0(2(2(2(2(0(1(0(1(0(2(2(1(1(1(2(z0)))))))))))))))))))))))) -> 2(1(1(2(1(1(2(1(2(1(2(0(1(1(0(0(0(1(1(1(2(1(2(1(1(z0))))))))))))))))))))))))) 2(1(2(2(0(0(2(0(0(0(1(1(2(0(1(1(2(2(2(0(0(0(2(1(2(1(z0)))))))))))))))))))))))))) -> 1(1(0(0(0(1(1(0(2(0(1(2(1(1(1(1(2(1(1(1(1(2(1(0(1(2(2(1(z0)))))))))))))))))))))))))))) 2(2(0(2(1(2(0(2(0(2(0(0(0(2(1(2(2(0(1(0(1(0(1(0(1(0(z0)))))))))))))))))))))))))) -> 1(1(0(1(2(1(0(2(2(2(0(1(2(1(1(1(2(2(2(2(1(2(2(1(0(2(2(2(0(z0))))))))))))))))))))))))))))) 2(2(2(0(0(1(0(1(2(0(0(0(2(0(2(2(0(1(0(0(2(1(2(2(2(2(z0)))))))))))))))))))))))))) -> 2(1(2(1(0(1(2(0(1(0(2(2(0(1(1(2(0(1(2(2(2(2(0(0(0(1(2(z0))))))))))))))))))))))))))) 2(2(2(2(0(1(1(2(0(2(0(1(1(2(0(1(2(1(1(2(2(1(2(1(2(2(z0)))))))))))))))))))))))))) -> 2(0(0(1(1(2(2(1(1(1(1(0(1(2(1(2(1(1(2(1(2(2(1(0(2(1(1(0(2(z0))))))))))))))))))))))))))))) 2(0(2(0(1(2(0(1(0(2(2(2(0(1(1(0(0(1(1(2(2(2(1(0(1(2(1(z0))))))))))))))))))))))))))) -> 2(1(0(1(1(1(1(2(1(2(0(2(0(1(2(2(0(2(1(2(1(1(2(0(2(2(1(0(z0)))))))))))))))))))))))))))) 2(2(2(0(2(1(2(2(1(0(1(1(1(0(1(2(1(1(2(1(2(0(1(0(2(2(1(z0))))))))))))))))))))))))))) -> 0(1(0(1(2(1(2(2(1(2(1(2(1(0(2(1(2(2(1(1(2(1(1(0(2(0(2(z0))))))))))))))))))))))))))) 2(0(1(1(1(0(0(0(0(2(0(1(2(0(1(0(1(2(2(0(2(2(2(0(2(1(0(0(z0)))))))))))))))))))))))))))) -> 1(1(0(1(1(2(2(1(2(1(0(2(0(0(2(1(1(1(1(2(0(1(0(1(1(1(1(2(1(1(z0)))))))))))))))))))))))))))))) 2(2(2(2(2(1(0(2(2(0(2(1(0(0(1(1(2(1(1(1(1(2(2(0(0(2(2(0(z0)))))))))))))))))))))))))))) -> 2(1(1(0(1(1(2(2(2(2(2(1(1(1(0(2(1(0(1(1(0(2(2(1(0(2(1(1(1(2(z0)))))))))))))))))))))))))))))) 2(1(1(2(1(1(1(0(2(1(1(2(1(1(2(2(1(1(2(0(1(0(1(2(0(1(0(0(1(z0))))))))))))))))))))))))))))) -> 2(2(1(1(1(0(1(2(1(0(1(2(1(1(1(2(1(0(2(0(1(2(1(0(0(1(1(2(1(z0))))))))))))))))))))))))))))) 1(1(2(2(0(1(0(1(1(z0))))))))) -> 1(1(1(0(1(1(0(1(1(1(1(z0))))))))))) 1(0(1(1(0(2(2(0(2(0(z0)))))))))) -> 1(1(0(2(2(1(0(2(0(0(z0)))))))))) 1(0(1(2(2(0(0(2(2(1(z0)))))))))) -> 1(0(1(2(0(1(0(1(1(1(1(2(z0)))))))))))) 1(2(2(2(2(0(2(1(0(0(0(z0))))))))))) -> 2(1(1(2(0(1(0(0(1(0(1(1(z0)))))))))))) 1(0(0(0(2(1(0(0(0(2(0(2(2(0(2(z0))))))))))))))) -> 1(1(1(0(0(2(1(0(1(2(1(0(0(0(0(2(z0)))))))))))))))) 1(0(1(2(0(1(1(0(2(1(0(2(0(1(0(z0))))))))))))))) -> 1(0(0(1(1(1(2(1(0(2(0(1(0(1(1(1(0(z0))))))))))))))))) 1(1(0(1(0(2(1(0(2(0(1(2(2(2(2(1(1(z0))))))))))))))))) -> 1(1(2(2(1(1(0(0(2(0(0(1(1(0(2(2(1(1(z0)))))))))))))))))) 1(2(2(2(0(2(1(2(0(1(0(2(1(0(2(1(0(z0))))))))))))))))) -> 1(1(1(2(1(0(1(1(2(2(0(1(2(1(2(1(0(0(2(1(2(1(2(z0))))))))))))))))))))))) 1(0(1(1(2(0(1(1(0(0(2(1(0(0(2(2(0(0(0(z0))))))))))))))))))) -> 2(1(1(0(1(1(2(1(2(2(2(2(1(1(1(1(2(1(1(2(0(0(2(1(z0)))))))))))))))))))))))) 1(0(1(2(0(1(0(2(2(1(0(1(0(0(2(2(2(0(0(z0))))))))))))))))))) -> 1(0(2(1(1(1(1(0(2(1(0(1(2(0(0(2(1(1(0(0(1(1(0(2(z0)))))))))))))))))))))))) 1(2(0(2(2(0(0(1(0(0(2(0(2(2(1(0(1(0(2(z0))))))))))))))))))) -> 2(2(1(2(1(0(2(1(2(2(1(2(2(0(2(2(0(2(0(0(1(1(1(z0))))))))))))))))))))))) 1(1(0(0(1(2(1(0(0(1(1(2(1(0(0(0(1(2(1(2(z0)))))))))))))))))))) -> 2(2(1(2(1(2(1(0(0(1(1(1(2(1(1(1(1(1(1(1(1(2(1(z0))))))))))))))))))))))) 1(1(0(2(2(0(0(0(2(1(2(1(0(1(0(0(0(0(0(1(z0)))))))))))))))))))) -> 1(2(1(1(2(1(0(0(1(2(1(2(1(2(2(2(1(0(2(1(0(0(z0)))))))))))))))))))))) 1(0(0(0(1(2(1(2(0(2(0(0(1(0(0(0(1(2(1(0(2(z0))))))))))))))))))))) -> 2(2(2(2(1(1(2(1(0(1(0(2(2(1(0(0(1(1(1(1(0(1(0(z0))))))))))))))))))))))) 1(0(2(1(1(1(1(0(0(2(2(0(1(0(1(0(2(2(0(0(0(z0))))))))))))))))))))) -> 1(1(1(1(0(2(1(2(2(1(1(1(0(2(2(1(2(2(1(0(1(2(z0)))))))))))))))))))))) 1(0(1(1(0(0(1(1(1(0(2(2(0(1(0(0(1(2(0(0(2(0(z0)))))))))))))))))))))) -> 1(1(1(2(2(0(2(1(2(0(2(0(0(0(1(2(1(2(1(2(0(2(1(z0))))))))))))))))))))))) 1(2(0(2(1(2(0(0(0(0(0(0(2(2(1(0(2(2(0(2(1(0(0(1(z0)))))))))))))))))))))))) -> 1(0(1(0(0(2(2(1(1(2(0(2(2(0(0(2(0(1(0(1(1(1(1(2(2(2(1(z0))))))))))))))))))))))))))) 1(2(2(1(2(0(1(2(0(1(2(1(0(0(0(2(2(2(0(2(2(0(2(1(z0)))))))))))))))))))))))) -> 2(1(0(2(0(2(1(1(1(1(2(0(0(1(0(2(1(0(2(0(2(0(1(1(2(z0))))))))))))))))))))))))) 1(0(1(0(0(0(2(0(1(2(0(2(0(2(0(1(0(2(2(0(0(1(0(1(1(z0))))))))))))))))))))))))) -> 1(2(0(0(2(0(1(0(1(0(2(2(1(1(0(0(0(1(2(1(1(1(1(0(2(1(z0)))))))))))))))))))))))))) 1(1(0(2(0(1(2(1(0(0(1(0(0(2(1(0(2(0(1(0(0(0(1(0(1(z0))))))))))))))))))))))))) -> 2(1(0(2(0(0(1(1(2(2(1(2(0(2(2(1(2(1(2(2(1(0(2(1(2(1(z0)))))))))))))))))))))))))) 1(0(1(1(1(2(2(1(0(1(0(2(1(1(0(2(1(0(1(2(1(0(2(2(1(0(0(z0))))))))))))))))))))))))))) -> 2(2(2(2(1(2(1(1(1(2(2(2(1(2(2(2(1(1(0(1(1(2(1(0(2(2(1(1(z0)))))))))))))))))))))))))))) 1(2(2(1(1(2(2(1(1(2(1(2(2(0(0(1(2(1(0(1(1(0(1(0(0(2(2(0(z0)))))))))))))))))))))))))))) -> 1(2(1(2(1(0(1(2(2(2(1(2(0(0(0(2(1(0(0(1(1(1(0(0(1(1(1(1(1(0(z0)))))))))))))))))))))))))))))) Tuples: ENCARG(cons_0(z0)) -> c(0'(encArg(z0)), ENCARG(z0)) ENCARG(cons_2(z0)) -> c1(2'(encArg(z0)), ENCARG(z0)) ENCARG(cons_1(z0)) -> c2(1'(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(1'(1(z0)), 1'(z0)) 0'(0(z0)) -> c7(1'(1(2(z0))), 1'(2(z0)), 2'(z0)) 0'(2(0(0(z0)))) -> c8(0'(2(1(1(1(1(1(1(1(1(z0)))))))))), 2'(1(1(1(1(1(1(1(1(z0))))))))), 1'(1(1(1(1(1(1(1(z0)))))))), 1'(1(1(1(1(1(1(z0))))))), 1'(1(1(1(1(1(z0)))))), 1'(1(1(1(1(z0))))), 1'(1(1(1(z0)))), 1'(1(1(z0))), 1'(1(z0)), 1'(z0)) 0'(0(2(0(2(z0))))) -> c9(1'(2(2(1(1(2(2(1(1(z0))))))))), 2'(2(1(1(2(2(1(1(z0)))))))), 2'(1(1(2(2(1(1(z0))))))), 1'(1(2(2(1(1(z0)))))), 1'(2(2(1(1(z0))))), 2'(2(1(1(z0)))), 2'(1(1(z0))), 1'(1(z0)), 1'(z0)) 0'(2(0(2(0(0(z0)))))) -> c10(0'(1(2(2(1(2(0(z0))))))), 1'(2(2(1(2(0(z0)))))), 2'(2(1(2(0(z0))))), 2'(1(2(0(z0)))), 1'(2(0(z0))), 2'(0(z0)), 0'(z0)) 0'(0(0(0(2(0(1(2(z0)))))))) -> c11(1'(1(1(2(1(1(1(0(0(0(2(z0))))))))))), 1'(1(2(1(1(1(0(0(0(2(z0)))))))))), 1'(2(1(1(1(0(0(0(2(z0))))))))), 2'(1(1(1(0(0(0(2(z0)))))))), 1'(1(1(0(0(0(2(z0))))))), 1'(1(0(0(0(2(z0)))))), 1'(0(0(0(2(z0))))), 0'(0(0(2(z0)))), 0'(0(2(z0))), 0'(2(z0)), 2'(z0)) 0'(0(2(1(0(2(2(1(z0)))))))) -> c12(1'(1(0(1(0(2(1(1(1(0(z0)))))))))), 1'(0(1(0(2(1(1(1(0(z0))))))))), 0'(1(0(2(1(1(1(0(z0)))))))), 1'(0(2(1(1(1(0(z0))))))), 0'(2(1(1(1(0(z0)))))), 2'(1(1(1(0(z0))))), 1'(1(1(0(z0)))), 1'(1(0(z0))), 1'(0(z0)), 0'(z0)) 0'(2(0(1(2(0(1(1(2(z0))))))))) -> c13(1'(2(2(1(1(1(2(2(1(0(z0)))))))))), 2'(2(1(1(1(2(2(1(0(z0))))))))), 2'(1(1(1(2(2(1(0(z0)))))))), 1'(1(1(2(2(1(0(z0))))))), 1'(1(2(2(1(0(z0)))))), 1'(2(2(1(0(z0))))), 2'(2(1(0(z0)))), 2'(1(0(z0))), 1'(0(z0)), 0'(z0)) 0'(0(1(0(2(2(0(1(2(0(z0)))))))))) -> c14(2'(2(2(1(1(1(1(2(2(1(2(2(2(1(2(z0))))))))))))))), 2'(2(1(1(1(1(2(2(1(2(2(2(1(2(z0)))))))))))))), 2'(1(1(1(1(2(2(1(2(2(2(1(2(z0))))))))))))), 1'(1(1(1(2(2(1(2(2(2(1(2(z0)))))))))))), 1'(1(1(2(2(1(2(2(2(1(2(z0))))))))))), 1'(1(2(2(1(2(2(2(1(2(z0)))))))))), 1'(2(2(1(2(2(2(1(2(z0))))))))), 2'(2(1(2(2(2(1(2(z0)))))))), 2'(1(2(2(2(1(2(z0))))))), 1'(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)) 0'(1(1(0(0(2(0(1(2(2(z0)))))))))) -> c15(1'(1(2(1(1(2(1(1(0(0(0(2(1(z0))))))))))))), 1'(2(1(1(2(1(1(0(0(0(2(1(z0)))))))))))), 2'(1(1(2(1(1(0(0(0(2(1(z0))))))))))), 1'(1(2(1(1(0(0(0(2(1(z0)))))))))), 1'(2(1(1(0(0(0(2(1(z0))))))))), 2'(1(1(0(0(0(2(1(z0)))))))), 1'(1(0(0(0(2(1(z0))))))), 1'(0(0(0(2(1(z0)))))), 0'(0(0(2(1(z0))))), 0'(0(2(1(z0)))), 0'(2(1(z0))), 2'(1(z0)), 1'(z0)) 0'(0(0(1(2(1(2(1(2(0(1(z0))))))))))) -> c16(1'(2(2(1(0(0(1(1(2(2(1(2(z0)))))))))))), 2'(2(1(0(0(1(1(2(2(1(2(z0))))))))))), 2'(1(0(0(1(1(2(2(1(2(z0)))))))))), 1'(0(0(1(1(2(2(1(2(z0))))))))), 0'(0(1(1(2(2(1(2(z0)))))))), 0'(1(1(2(2(1(2(z0))))))), 1'(1(2(2(1(2(z0)))))), 1'(2(2(1(2(z0))))), 2'(2(1(2(z0)))), 2'(1(2(z0))), 1'(2(z0)), 2'(z0)) 0'(0(2(0(0(1(0(1(1(1(2(z0))))))))))) -> c17(1'(2(1(1(1(0(2(1(0(1(2(2(1(z0))))))))))))), 2'(1(1(1(0(2(1(0(1(2(2(1(z0)))))))))))), 1'(1(1(0(2(1(0(1(2(2(1(z0))))))))))), 1'(1(0(2(1(0(1(2(2(1(z0)))))))))), 1'(0(2(1(0(1(2(2(1(z0))))))))), 0'(2(1(0(1(2(2(1(z0)))))))), 2'(1(0(1(2(2(1(z0))))))), 1'(0(1(2(2(1(z0)))))), 0'(1(2(2(1(z0))))), 1'(2(2(1(z0)))), 2'(2(1(z0))), 2'(1(z0)), 1'(z0)) 0'(0(2(0(2(2(2(2(2(2(0(z0))))))))))) -> c18(0'(2(0(1(0(0(1(1(1(1(2(1(z0)))))))))))), 2'(0(1(0(0(1(1(1(1(2(1(z0))))))))))), 0'(1(0(0(1(1(1(1(2(1(z0)))))))))), 1'(0(0(1(1(1(1(2(1(z0))))))))), 0'(0(1(1(1(1(2(1(z0)))))))), 0'(1(1(1(1(2(1(z0))))))), 1'(1(1(1(2(1(z0)))))), 1'(1(1(2(1(z0))))), 1'(1(2(1(z0)))), 1'(2(1(z0))), 2'(1(z0)), 1'(z0)) 0'(1(2(0(2(1(0(0(0(0(1(z0))))))))))) -> c19(2'(2(1(2(0(1(2(1(2(0(1(2(z0)))))))))))), 2'(1(2(0(1(2(1(2(0(1(2(z0))))))))))), 1'(2(0(1(2(1(2(0(1(2(z0)))))))))), 2'(0(1(2(1(2(0(1(2(z0))))))))), 0'(1(2(1(2(0(1(2(z0)))))))), 1'(2(1(2(0(1(2(z0))))))), 2'(1(2(0(1(2(z0)))))), 1'(2(0(1(2(z0))))), 2'(0(1(2(z0)))), 0'(1(2(z0))), 1'(2(z0)), 2'(z0)) 0'(2(0(2(2(0(2(0(0(0(2(z0))))))))))) -> c20(0'(1(1(0(2(2(1(1(1(0(1(2(0(2(z0)))))))))))))), 1'(1(0(2(2(1(1(1(0(1(2(0(2(z0))))))))))))), 1'(0(2(2(1(1(1(0(1(2(0(2(z0)))))))))))), 0'(2(2(1(1(1(0(1(2(0(2(z0))))))))))), 2'(2(1(1(1(0(1(2(0(2(z0)))))))))), 2'(1(1(1(0(1(2(0(2(z0))))))))), 1'(1(1(0(1(2(0(2(z0)))))))), 1'(1(0(1(2(0(2(z0))))))), 1'(0(1(2(0(2(z0)))))), 0'(1(2(0(2(z0))))), 1'(2(0(2(z0)))), 2'(0(2(z0))), 0'(2(z0)), 2'(z0)) 0'(1(0(1(0(2(1(1(2(0(2(0(z0)))))))))))) -> c21(1'(1(1(1(0(2(1(1(2(1(2(2(2(2(1(1(z0)))))))))))))))), 1'(1(1(0(2(1(1(2(1(2(2(2(2(1(1(z0))))))))))))))), 1'(1(0(2(1(1(2(1(2(2(2(2(1(1(z0)))))))))))))), 1'(0(2(1(1(2(1(2(2(2(2(1(1(z0))))))))))))), 0'(2(1(1(2(1(2(2(2(2(1(1(z0)))))))))))), 2'(1(1(2(1(2(2(2(2(1(1(z0))))))))))), 1'(1(2(1(2(2(2(2(1(1(z0)))))))))), 1'(2(1(2(2(2(2(1(1(z0))))))))), 2'(1(2(2(2(2(1(1(z0)))))))), 1'(2(2(2(2(1(1(z0))))))), 2'(2(2(2(1(1(z0)))))), 2'(2(2(1(1(z0))))), 2'(2(1(1(z0)))), 2'(1(1(z0))), 1'(1(z0)), 1'(z0)) 0'(1(1(2(0(2(0(2(2(2(1(0(z0)))))))))))) -> c22(2'(0(1(0(0(1(1(0(1(1(0(2(0(z0))))))))))))), 0'(1(0(0(1(1(0(1(1(0(2(0(z0)))))))))))), 1'(0(0(1(1(0(1(1(0(2(0(z0))))))))))), 0'(0(1(1(0(1(1(0(2(0(z0)))))))))), 0'(1(1(0(1(1(0(2(0(z0))))))))), 1'(1(0(1(1(0(2(0(z0)))))))), 1'(0(1(1(0(2(0(z0))))))), 0'(1(1(0(2(0(z0)))))), 1'(1(0(2(0(z0))))), 1'(0(2(0(z0)))), 0'(2(0(z0))), 2'(0(z0)), 0'(z0)) 0'(1(1(2(2(1(1(2(2(0(0(0(z0)))))))))))) -> c23(2'(2(1(1(2(1(1(1(2(1(1(0(2(1(z0)))))))))))))), 2'(1(1(2(1(1(1(2(1(1(0(2(1(z0))))))))))))), 1'(1(2(1(1(1(2(1(1(0(2(1(z0)))))))))))), 1'(2(1(1(1(2(1(1(0(2(1(z0))))))))))), 2'(1(1(1(2(1(1(0(2(1(z0)))))))))), 1'(1(1(2(1(1(0(2(1(z0))))))))), 1'(1(2(1(1(0(2(1(z0)))))))), 1'(2(1(1(0(2(1(z0))))))), 2'(1(1(0(2(1(z0)))))), 1'(1(0(2(1(z0))))), 1'(0(2(1(z0)))), 0'(2(1(z0))), 2'(1(z0)), 1'(z0)) 0'(1(2(0(1(1(0(1(2(2(0(0(z0)))))))))))) -> c24(1'(1(1(1(0(1(2(0(0(2(1(0(2(1(z0)))))))))))))), 1'(1(1(0(1(2(0(0(2(1(0(2(1(z0))))))))))))), 1'(1(0(1(2(0(0(2(1(0(2(1(z0)))))))))))), 1'(0(1(2(0(0(2(1(0(2(1(z0))))))))))), 0'(1(2(0(0(2(1(0(2(1(z0)))))))))), 1'(2(0(0(2(1(0(2(1(z0))))))))), 2'(0(0(2(1(0(2(1(z0)))))))), 0'(0(2(1(0(2(1(z0))))))), 0'(2(1(0(2(1(z0)))))), 2'(1(0(2(1(z0))))), 1'(0(2(1(z0)))), 0'(2(1(z0))), 2'(1(z0)), 1'(z0)) 0'(1(2(2(0(0(1(2(2(0(0(0(z0)))))))))))) -> c25(1'(1(2(2(2(2(0(2(1(2(1(0(1(z0))))))))))))), 1'(2(2(2(2(0(2(1(2(1(0(1(z0)))))))))))), 2'(2(2(2(0(2(1(2(1(0(1(z0))))))))))), 2'(2(2(0(2(1(2(1(0(1(z0)))))))))), 2'(2(0(2(1(2(1(0(1(z0))))))))), 2'(0(2(1(2(1(0(1(z0)))))))), 0'(2(1(2(1(0(1(z0))))))), 2'(1(2(1(0(1(z0)))))), 1'(2(1(0(1(z0))))), 2'(1(0(1(z0)))), 1'(0(1(z0))), 0'(1(z0)), 1'(z0)) 0'(1(2(2(0(1(1(0(2(0(0(0(z0)))))))))))) -> c26(1'(2(1(2(1(2(0(2(0(2(1(1(0(z0))))))))))))), 2'(1(2(1(2(0(2(0(2(1(1(0(z0)))))))))))), 1'(2(1(2(0(2(0(2(1(1(0(z0))))))))))), 2'(1(2(0(2(0(2(1(1(0(z0)))))))))), 1'(2(0(2(0(2(1(1(0(z0))))))))), 2'(0(2(0(2(1(1(0(z0)))))))), 0'(2(0(2(1(1(0(z0))))))), 2'(0(2(1(1(0(z0)))))), 0'(2(1(1(0(z0))))), 2'(1(1(0(z0)))), 1'(1(0(z0))), 1'(0(z0)), 0'(z0)) 0'(0(1(0(1(1(1(0(1(0(2(0(0(1(z0)))))))))))))) -> c27(1'(2(1(1(1(1(0(1(1(0(0(2(1(0(0(0(z0)))))))))))))))), 2'(1(1(1(1(0(1(1(0(0(2(1(0(0(0(z0))))))))))))))), 1'(1(1(1(0(1(1(0(0(2(1(0(0(0(z0)))))))))))))), 1'(1(1(0(1(1(0(0(2(1(0(0(0(z0))))))))))))), 1'(1(0(1(1(0(0(2(1(0(0(0(z0)))))))))))), 1'(0(1(1(0(0(2(1(0(0(0(z0))))))))))), 0'(1(1(0(0(2(1(0(0(0(z0)))))))))), 1'(1(0(0(2(1(0(0(0(z0))))))))), 1'(0(0(2(1(0(0(0(z0)))))))), 0'(0(2(1(0(0(0(z0))))))), 0'(2(1(0(0(0(z0)))))), 2'(1(0(0(0(z0))))), 1'(0(0(0(z0)))), 0'(0(0(z0))), 0'(0(z0)), 0'(z0)) 0'(2(2(1(0(1(0(2(1(2(2(1(1(2(z0)))))))))))))) -> c28(2'(1(1(2(2(1(0(1(2(1(2(1(2(1(0(z0))))))))))))))), 1'(1(2(2(1(0(1(2(1(2(1(2(1(0(z0)))))))))))))), 1'(2(2(1(0(1(2(1(2(1(2(1(0(z0))))))))))))), 2'(2(1(0(1(2(1(2(1(2(1(0(z0)))))))))))), 2'(1(0(1(2(1(2(1(2(1(0(z0))))))))))), 1'(0(1(2(1(2(1(2(1(0(z0)))))))))), 0'(1(2(1(2(1(2(1(0(z0))))))))), 1'(2(1(2(1(2(1(0(z0)))))))), 2'(1(2(1(2(1(0(z0))))))), 1'(2(1(2(1(0(z0)))))), 2'(1(2(1(0(z0))))), 1'(2(1(0(z0)))), 2'(1(0(z0))), 1'(0(z0)), 0'(z0)) 0'(2(2(0(1(0(0(2(2(2(1(2(2(2(2(z0))))))))))))))) -> c29(2'(2(1(0(2(1(2(2(0(0(0(1(0(0(1(1(z0)))))))))))))))), 2'(1(0(2(1(2(2(0(0(0(1(0(0(1(1(z0))))))))))))))), 1'(0(2(1(2(2(0(0(0(1(0(0(1(1(z0)))))))))))))), 0'(2(1(2(2(0(0(0(1(0(0(1(1(z0))))))))))))), 2'(1(2(2(0(0(0(1(0(0(1(1(z0)))))))))))), 1'(2(2(0(0(0(1(0(0(1(1(z0))))))))))), 2'(2(0(0(0(1(0(0(1(1(z0)))))))))), 2'(0(0(0(1(0(0(1(1(z0))))))))), 0'(0(0(1(0(0(1(1(z0)))))))), 0'(0(1(0(0(1(1(z0))))))), 0'(1(0(0(1(1(z0)))))), 1'(0(0(1(1(z0))))), 0'(0(1(1(z0)))), 0'(1(1(z0))), 1'(1(z0)), 1'(z0)) 0'(2(1(0(0(1(0(2(2(0(0(2(0(0(2(1(z0)))))))))))))))) -> c30(0'(1(2(1(2(0(0(1(1(2(2(2(0(1(1(2(2(2(1(2(z0)))))))))))))))))))), 1'(2(1(2(0(0(1(1(2(2(2(0(1(1(2(2(2(1(2(z0))))))))))))))))))), 2'(1(2(0(0(1(1(2(2(2(0(1(1(2(2(2(1(2(z0)))))))))))))))))), 1'(2(0(0(1(1(2(2(2(0(1(1(2(2(2(1(2(z0))))))))))))))))), 2'(0(0(1(1(2(2(2(0(1(1(2(2(2(1(2(z0)))))))))))))))), 0'(0(1(1(2(2(2(0(1(1(2(2(2(1(2(z0))))))))))))))), 0'(1(1(2(2(2(0(1(1(2(2(2(1(2(z0)))))))))))))), 1'(1(2(2(2(0(1(1(2(2(2(1(2(z0))))))))))))), 1'(2(2(2(0(1(1(2(2(2(1(2(z0)))))))))))), 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1'(1(0(1(2(2(0(2(2(1(2(2(0(1(0(1(0(z0))))))))))))))))), 1'(0(1(2(2(0(2(2(1(2(2(0(1(0(1(0(z0)))))))))))))))), 0'(1(2(2(0(2(2(1(2(2(0(1(0(1(0(z0))))))))))))))), 1'(2(2(0(2(2(1(2(2(0(1(0(1(0(z0)))))))))))))), 2'(2(0(2(2(1(2(2(0(1(0(1(0(z0))))))))))))), 2'(0(2(2(1(2(2(0(1(0(1(0(z0)))))))))))), 0'(2(2(1(2(2(0(1(0(1(0(z0))))))))))), 2'(2(1(2(2(0(1(0(1(0(z0)))))))))), 2'(1(2(2(0(1(0(1(0(z0))))))))), 1'(2(2(0(1(0(1(0(z0)))))))), 2'(2(0(1(0(1(0(z0))))))), 2'(0(1(0(1(0(z0)))))), 0'(1(0(1(0(z0))))), 1'(0(1(0(z0)))), 0'(1(0(z0))), 1'(0(z0)), 0'(z0)) 0'(2(0(2(2(2(0(1(0(2(0(2(0(2(1(2(0(z0))))))))))))))))) -> c33(1'(0(1(1(0(2(2(0(1(2(1(0(0(1(2(1(0(1(z0)))))))))))))))))), 0'(1(1(0(2(2(0(1(2(1(0(0(1(2(1(0(1(z0))))))))))))))))), 1'(1(0(2(2(0(1(2(1(0(0(1(2(1(0(1(z0)))))))))))))))), 1'(0(2(2(0(1(2(1(0(0(1(2(1(0(1(z0))))))))))))))), 0'(2(2(0(1(2(1(0(0(1(2(1(0(1(z0)))))))))))))), 2'(2(0(1(2(1(0(0(1(2(1(0(1(z0))))))))))))), 2'(0(1(2(1(0(0(1(2(1(0(1(z0)))))))))))), 0'(1(2(1(0(0(1(2(1(0(1(z0))))))))))), 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0'(2(2(2(0(1(0(2(0(1(0(0(0(2(2(2(2(0(z0)))))))))))))))))) -> c35(2'(1(2(1(2(0(0(0(2(0(0(1(1(0(2(1(2(0(0(2(z0)))))))))))))))))))), 1'(2(1(2(0(0(0(2(0(0(1(1(0(2(1(2(0(0(2(z0))))))))))))))))))), 2'(1(2(0(0(0(2(0(0(1(1(0(2(1(2(0(0(2(z0)))))))))))))))))), 1'(2(0(0(0(2(0(0(1(1(0(2(1(2(0(0(2(z0))))))))))))))))), 2'(0(0(0(2(0(0(1(1(0(2(1(2(0(0(2(z0)))))))))))))))), 0'(0(0(2(0(0(1(1(0(2(1(2(0(0(2(z0))))))))))))))), 0'(0(2(0(0(1(1(0(2(1(2(0(0(2(z0)))))))))))))), 0'(2(0(0(1(1(0(2(1(2(0(0(2(z0))))))))))))), 2'(0(0(1(1(0(2(1(2(0(0(2(z0)))))))))))), 0'(0(1(1(0(2(1(2(0(0(2(z0))))))))))), 0'(1(1(0(2(1(2(0(0(2(z0)))))))))), 1'(1(0(2(1(2(0(0(2(z0))))))))), 1'(0(2(1(2(0(0(2(z0)))))))), 0'(2(1(2(0(0(2(z0))))))), 2'(1(2(0(0(2(z0)))))), 1'(2(0(0(2(z0))))), 2'(0(0(2(z0)))), 0'(0(2(z0))), 0'(2(z0)), 2'(z0)) 0'(1(0(0(0(0(0(2(2(1(0(2(2(0(2(1(2(2(1(z0))))))))))))))))))) -> c36(2'(1(2(1(1(1(2(1(1(0(2(2(0(1(0(0(2(0(2(1(1(0(1(1(2(1(z0)))))))))))))))))))))))))), 1'(2(1(1(1(2(1(1(0(2(2(0(1(0(0(2(0(2(1(1(0(1(1(2(1(z0))))))))))))))))))))))))), 2'(1(1(1(2(1(1(0(2(2(0(1(0(0(2(0(2(1(1(0(1(1(2(1(z0)))))))))))))))))))))))), 1'(1(1(2(1(1(0(2(2(0(1(0(0(2(0(2(1(1(0(1(1(2(1(z0))))))))))))))))))))))), 1'(1(2(1(1(0(2(2(0(1(0(0(2(0(2(1(1(0(1(1(2(1(z0)))))))))))))))))))))), 1'(2(1(1(0(2(2(0(1(0(0(2(0(2(1(1(0(1(1(2(1(z0))))))))))))))))))))), 2'(1(1(0(2(2(0(1(0(0(2(0(2(1(1(0(1(1(2(1(z0)))))))))))))))))))), 1'(1(0(2(2(0(1(0(0(2(0(2(1(1(0(1(1(2(1(z0))))))))))))))))))), 1'(0(2(2(0(1(0(0(2(0(2(1(1(0(1(1(2(1(z0)))))))))))))))))), 0'(2(2(0(1(0(0(2(0(2(1(1(0(1(1(2(1(z0))))))))))))))))), 2'(2(0(1(0(0(2(0(2(1(1(0(1(1(2(1(z0)))))))))))))))), 2'(0(1(0(0(2(0(2(1(1(0(1(1(2(1(z0))))))))))))))), 0'(1(0(0(2(0(2(1(1(0(1(1(2(1(z0)))))))))))))), 1'(0(0(2(0(2(1(1(0(1(1(2(1(z0))))))))))))), 0'(0(2(0(2(1(1(0(1(1(2(1(z0)))))))))))), 0'(2(0(2(1(1(0(1(1(2(1(z0))))))))))), 2'(0(2(1(1(0(1(1(2(1(z0)))))))))), 0'(2(1(1(0(1(1(2(1(z0))))))))), 2'(1(1(0(1(1(2(1(z0)))))))), 1'(1(0(1(1(2(1(z0))))))), 1'(0(1(1(2(1(z0)))))), 0'(1(1(2(1(z0))))), 1'(1(2(1(z0)))), 1'(2(1(z0))), 2'(1(z0)), 1'(z0)) 0'(1(0(2(0(2(2(1(2(2(1(0(2(0(1(0(2(2(2(z0))))))))))))))))))) -> c37(0'(1(0(2(2(1(1(0(1(2(0(2(1(2(1(2(1(1(1(1(z0)))))))))))))))))))), 1'(0(2(2(1(1(0(1(2(0(2(1(2(1(2(1(1(1(1(z0))))))))))))))))))), 0'(2(2(1(1(0(1(2(0(2(1(2(1(2(1(1(1(1(z0)))))))))))))))))), 2'(2(1(1(0(1(2(0(2(1(2(1(2(1(1(1(1(z0))))))))))))))))), 2'(1(1(0(1(2(0(2(1(2(1(2(1(1(1(1(z0)))))))))))))))), 1'(1(0(1(2(0(2(1(2(1(2(1(1(1(1(z0))))))))))))))), 1'(0(1(2(0(2(1(2(1(2(1(1(1(1(z0)))))))))))))), 0'(1(2(0(2(1(2(1(2(1(1(1(1(z0))))))))))))), 1'(2(0(2(1(2(1(2(1(1(1(1(z0)))))))))))), 2'(0(2(1(2(1(2(1(1(1(1(z0))))))))))), 0'(2(1(2(1(2(1(1(1(1(z0)))))))))), 2'(1(2(1(2(1(1(1(1(z0))))))))), 1'(2(1(2(1(1(1(1(z0)))))))), 2'(1(2(1(1(1(1(z0))))))), 1'(2(1(1(1(1(z0)))))), 2'(1(1(1(1(z0))))), 1'(1(1(1(z0)))), 1'(1(1(z0))), 1'(1(z0)), 1'(z0)) 0'(0(1(0(0(0(2(2(1(0(2(1(2(1(2(2(2(0(0(2(z0)))))))))))))))))))) -> 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0'(1(2(1(0(1(0(2(2(2(2(1(0(2(1(0(1(1(1(1(z0)))))))))))))))))))) -> c39(0'(1(1(1(1(0(1(1(2(0(0(2(2(0(1(2(1(1(2(2(z0)))))))))))))))))))), 1'(1(1(1(0(1(1(2(0(0(2(2(0(1(2(1(1(2(2(z0))))))))))))))))))), 1'(1(1(0(1(1(2(0(0(2(2(0(1(2(1(1(2(2(z0)))))))))))))))))), 1'(1(0(1(1(2(0(0(2(2(0(1(2(1(1(2(2(z0))))))))))))))))), 1'(0(1(1(2(0(0(2(2(0(1(2(1(1(2(2(z0)))))))))))))))), 0'(1(1(2(0(0(2(2(0(1(2(1(1(2(2(z0))))))))))))))), 1'(1(2(0(0(2(2(0(1(2(1(1(2(2(z0)))))))))))))), 1'(2(0(0(2(2(0(1(2(1(1(2(2(z0))))))))))))), 2'(0(0(2(2(0(1(2(1(1(2(2(z0)))))))))))), 0'(0(2(2(0(1(2(1(1(2(2(z0))))))))))), 0'(2(2(0(1(2(1(1(2(2(z0)))))))))), 2'(2(0(1(2(1(1(2(2(z0))))))))), 2'(0(1(2(1(1(2(2(z0)))))))), 0'(1(2(1(1(2(2(z0))))))), 1'(2(1(1(2(2(z0)))))), 2'(1(1(2(2(z0))))), 1'(1(2(2(z0)))), 1'(2(2(z0))), 2'(2(z0)), 2'(z0)) 0'(0(1(2(2(2(1(2(2(0(0(0(2(1(2(1(2(1(2(2(2(z0))))))))))))))))))))) -> c40(1'(1(2(1(1(1(1(2(1(1(0(2(1(0(0(2(1(2(1(2(1(0(0(z0))))))))))))))))))))))), 1'(2(1(1(1(1(2(1(1(0(2(1(0(0(2(1(2(1(2(1(0(0(z0)))))))))))))))))))))), 2'(1(1(1(1(2(1(1(0(2(1(0(0(2(1(2(1(2(1(0(0(z0))))))))))))))))))))), 1'(1(1(1(2(1(1(0(2(1(0(0(2(1(2(1(2(1(0(0(z0)))))))))))))))))))), 1'(1(1(2(1(1(0(2(1(0(0(2(1(2(1(2(1(0(0(z0))))))))))))))))))), 1'(1(2(1(1(0(2(1(0(0(2(1(2(1(2(1(0(0(z0)))))))))))))))))), 1'(2(1(1(0(2(1(0(0(2(1(2(1(2(1(0(0(z0))))))))))))))))), 2'(1(1(0(2(1(0(0(2(1(2(1(2(1(0(0(z0)))))))))))))))), 1'(1(0(2(1(0(0(2(1(2(1(2(1(0(0(z0))))))))))))))), 1'(0(2(1(0(0(2(1(2(1(2(1(0(0(z0)))))))))))))), 0'(2(1(0(0(2(1(2(1(2(1(0(0(z0))))))))))))), 2'(1(0(0(2(1(2(1(2(1(0(0(z0)))))))))))), 1'(0(0(2(1(2(1(2(1(0(0(z0))))))))))), 0'(0(2(1(2(1(2(1(0(0(z0)))))))))), 0'(2(1(2(1(2(1(0(0(z0))))))))), 2'(1(2(1(2(1(0(0(z0)))))))), 1'(2(1(2(1(0(0(z0))))))), 2'(1(2(1(0(0(z0)))))), 1'(2(1(0(0(z0))))), 2'(1(0(0(z0)))), 1'(0(0(z0))), 0'(0(z0)), 0'(z0)) 0'(0(2(2(0(1(2(0(0(0(1(2(2(2(0(0(1(1(0(2(0(z0))))))))))))))))))))) -> 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0'(1(0(1(1(0(1(1(0(2(2(0(2(1(0(0(2(0(0(1(2(0(2(0(2(z0))))))))))))))))))))))))) -> c46(1'(1(2(1(1(1(1(2(0(2(0(2(1(2(2(0(1(1(2(0(1(1(0(2(2(2(0(z0))))))))))))))))))))))))))), 1'(2(1(1(1(1(2(0(2(0(2(1(2(2(0(1(1(2(0(1(1(0(2(2(2(0(z0)))))))))))))))))))))))))), 2'(1(1(1(1(2(0(2(0(2(1(2(2(0(1(1(2(0(1(1(0(2(2(2(0(z0))))))))))))))))))))))))), 1'(1(1(1(2(0(2(0(2(1(2(2(0(1(1(2(0(1(1(0(2(2(2(0(z0)))))))))))))))))))))))), 1'(1(1(2(0(2(0(2(1(2(2(0(1(1(2(0(1(1(0(2(2(2(0(z0))))))))))))))))))))))), 1'(1(2(0(2(0(2(1(2(2(0(1(1(2(0(1(1(0(2(2(2(0(z0)))))))))))))))))))))), 1'(2(0(2(0(2(1(2(2(0(1(1(2(0(1(1(0(2(2(2(0(z0))))))))))))))))))))), 2'(0(2(0(2(1(2(2(0(1(1(2(0(1(1(0(2(2(2(0(z0)))))))))))))))))))), 0'(2(0(2(1(2(2(0(1(1(2(0(1(1(0(2(2(2(0(z0))))))))))))))))))), 2'(0(2(1(2(2(0(1(1(2(0(1(1(0(2(2(2(0(z0)))))))))))))))))), 0'(2(1(2(2(0(1(1(2(0(1(1(0(2(2(2(0(z0))))))))))))))))), 2'(1(2(2(0(1(1(2(0(1(1(0(2(2(2(0(z0)))))))))))))))), 1'(2(2(0(1(1(2(0(1(1(0(2(2(2(0(z0))))))))))))))), 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c54(0'(1(2(0(1(1(0(1(1(0(2(1(2(1(1(0(2(1(1(2(2(1(1(2(1(2(2(2(0(2(z0)))))))))))))))))))))))))))))), 1'(2(0(1(1(0(1(1(0(2(1(2(1(1(0(2(1(1(2(2(1(1(2(1(2(2(2(0(2(z0))))))))))))))))))))))))))))), 2'(0(1(1(0(1(1(0(2(1(2(1(1(0(2(1(1(2(2(1(1(2(1(2(2(2(0(2(z0)))))))))))))))))))))))))))), 0'(1(1(0(1(1(0(2(1(2(1(1(0(2(1(1(2(2(1(1(2(1(2(2(2(0(2(z0))))))))))))))))))))))))))), 1'(1(0(1(1(0(2(1(2(1(1(0(2(1(1(2(2(1(1(2(1(2(2(2(0(2(z0)))))))))))))))))))))))))), 1'(0(1(1(0(2(1(2(1(1(0(2(1(1(2(2(1(1(2(1(2(2(2(0(2(z0))))))))))))))))))))))))), 0'(1(1(0(2(1(2(1(1(0(2(1(1(2(2(1(1(2(1(2(2(2(0(2(z0)))))))))))))))))))))))), 1'(1(0(2(1(2(1(1(0(2(1(1(2(2(1(1(2(1(2(2(2(0(2(z0))))))))))))))))))))))), 1'(0(2(1(2(1(1(0(2(1(1(2(2(1(1(2(1(2(2(2(0(2(z0)))))))))))))))))))))), 0'(2(1(2(1(1(0(2(1(1(2(2(1(1(2(1(2(2(2(0(2(z0))))))))))))))))))))), 2'(1(2(1(1(0(2(1(1(2(2(1(1(2(1(2(2(2(0(2(z0)))))))))))))))))))), 1'(2(1(1(0(2(1(1(2(2(1(1(2(1(2(2(2(0(2(z0))))))))))))))))))), 2'(1(1(0(2(1(1(2(2(1(1(2(1(2(2(2(0(2(z0)))))))))))))))))), 1'(1(0(2(1(1(2(2(1(1(2(1(2(2(2(0(2(z0))))))))))))))))), 1'(0(2(1(1(2(2(1(1(2(1(2(2(2(0(2(z0)))))))))))))))), 0'(2(1(1(2(2(1(1(2(1(2(2(2(0(2(z0))))))))))))))), 2'(1(1(2(2(1(1(2(1(2(2(2(0(2(z0)))))))))))))), 1'(1(2(2(1(1(2(1(2(2(2(0(2(z0))))))))))))), 1'(2(2(1(1(2(1(2(2(2(0(2(z0)))))))))))), 2'(2(1(1(2(1(2(2(2(0(2(z0))))))))))), 2'(1(1(2(1(2(2(2(0(2(z0)))))))))), 1'(1(2(1(2(2(2(0(2(z0))))))))), 1'(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)) 0'(2(2(1(0(1(2(0(1(0(1(2(0(1(1(0(1(2(0(0(2(0(1(2(0(1(1(2(1(z0))))))))))))))))))))))))))))) -> c55(0'(1(2(1(2(1(2(2(2(1(1(0(0(1(2(2(2(2(2(2(2(1(0(0(0(1(2(0(0(1(z0)))))))))))))))))))))))))))))), 1'(2(1(2(1(2(2(2(1(1(0(0(1(2(2(2(2(2(2(2(1(0(0(0(1(2(0(0(1(z0))))))))))))))))))))))))))))), 2'(1(2(1(2(2(2(1(1(0(0(1(2(2(2(2(2(2(2(1(0(0(0(1(2(0(0(1(z0)))))))))))))))))))))))))))), 1'(2(1(2(2(2(1(1(0(0(1(2(2(2(2(2(2(2(1(0(0(0(1(2(0(0(1(z0))))))))))))))))))))))))))), 2'(1(2(2(2(1(1(0(0(1(2(2(2(2(2(2(2(1(0(0(0(1(2(0(0(1(z0)))))))))))))))))))))))))), 1'(2(2(2(1(1(0(0(1(2(2(2(2(2(2(2(1(0(0(0(1(2(0(0(1(z0))))))))))))))))))))))))), 2'(2(2(1(1(0(0(1(2(2(2(2(2(2(2(1(0(0(0(1(2(0(0(1(z0)))))))))))))))))))))))), 2'(2(1(1(0(0(1(2(2(2(2(2(2(2(1(0(0(0(1(2(0(0(1(z0))))))))))))))))))))))), 2'(1(1(0(0(1(2(2(2(2(2(2(2(1(0(0(0(1(2(0(0(1(z0)))))))))))))))))))))), 1'(1(0(0(1(2(2(2(2(2(2(2(1(0(0(0(1(2(0(0(1(z0))))))))))))))))))))), 1'(0(0(1(2(2(2(2(2(2(2(1(0(0(0(1(2(0(0(1(z0)))))))))))))))))))), 0'(0(1(2(2(2(2(2(2(2(1(0(0(0(1(2(0(0(1(z0))))))))))))))))))), 0'(1(2(2(2(2(2(2(2(1(0(0(0(1(2(0(0(1(z0)))))))))))))))))), 1'(2(2(2(2(2(2(2(1(0(0(0(1(2(0(0(1(z0))))))))))))))))), 2'(2(2(2(2(2(2(1(0(0(0(1(2(0(0(1(z0)))))))))))))))), 2'(2(2(2(2(2(1(0(0(0(1(2(0(0(1(z0))))))))))))))), 2'(2(2(2(2(1(0(0(0(1(2(0(0(1(z0)))))))))))))), 2'(2(2(2(1(0(0(0(1(2(0(0(1(z0))))))))))))), 2'(2(2(1(0(0(0(1(2(0(0(1(z0)))))))))))), 2'(2(1(0(0(0(1(2(0(0(1(z0))))))))))), 2'(1(0(0(0(1(2(0(0(1(z0)))))))))), 1'(0(0(0(1(2(0(0(1(z0))))))))), 0'(0(0(1(2(0(0(1(z0)))))))), 0'(0(1(2(0(0(1(z0))))))), 0'(1(2(0(0(1(z0)))))), 1'(2(0(0(1(z0))))), 2'(0(0(1(z0)))), 0'(0(1(z0))), 0'(1(z0)), 1'(z0)) 2'(0(z0)) -> c56(1'(1(0(z0))), 1'(0(z0)), 0'(z0)) 2'(0(0(z0))) -> c57(0'(1(2(1(1(z0))))), 1'(2(1(1(z0)))), 2'(1(1(z0))), 1'(1(z0)), 1'(z0)) 2'(2(1(z0))) -> c58(1'(1(0(1(1(z0))))), 1'(0(1(1(z0)))), 0'(1(1(z0))), 1'(1(z0)), 1'(z0)) 2'(1(0(1(2(0(0(z0))))))) -> c59(1'(1(1(0(1(2(2(1(1(z0))))))))), 1'(1(0(1(2(2(1(1(z0)))))))), 1'(0(1(2(2(1(1(z0))))))), 0'(1(2(2(1(1(z0)))))), 1'(2(2(1(1(z0))))), 2'(2(1(1(z0)))), 2'(1(1(z0))), 1'(1(z0)), 1'(z0)) 2'(2(0(0(2(0(0(z0))))))) -> c60(2'(0(1(1(0(0(2(1(1(z0))))))))), 0'(1(1(0(0(2(1(1(z0)))))))), 1'(1(0(0(2(1(1(z0))))))), 1'(0(0(2(1(1(z0)))))), 0'(0(2(1(1(z0))))), 0'(2(1(1(z0)))), 2'(1(1(z0))), 1'(1(z0)), 1'(z0)) 2'(2(0(2(1(0(1(z0))))))) -> c61(0'(1(0(1(2(1(1(2(1(1(z0)))))))))), 1'(0(1(2(1(1(2(1(1(z0))))))))), 0'(1(2(1(1(2(1(1(z0)))))))), 1'(2(1(1(2(1(1(z0))))))), 2'(1(1(2(1(1(z0)))))), 1'(1(2(1(1(z0))))), 1'(2(1(1(z0)))), 2'(1(1(z0))), 1'(1(z0)), 1'(z0)) 2'(0(2(1(1(2(2(0(z0)))))))) -> c62(2'(0(0(2(2(1(2(1(z0)))))))), 0'(0(2(2(1(2(1(z0))))))), 0'(2(2(1(2(1(z0)))))), 2'(2(1(2(1(z0))))), 2'(1(2(1(z0)))), 1'(2(1(z0))), 2'(1(z0)), 1'(z0)) 2'(1(2(0(1(0(2(2(z0)))))))) -> c63(2'(1(0(1(1(1(2(1(0(z0))))))))), 1'(0(1(1(1(2(1(0(z0)))))))), 0'(1(1(1(2(1(0(z0))))))), 1'(1(1(2(1(0(z0)))))), 1'(1(2(1(0(z0))))), 1'(2(1(0(z0)))), 2'(1(0(z0))), 1'(0(z0)), 0'(z0)) 2'(1(0(1(2(1(2(2(2(z0))))))))) -> c64(1'(1(0(1(0(0(1(1(1(1(2(z0))))))))))), 1'(0(1(0(0(1(1(1(1(2(z0)))))))))), 0'(1(0(0(1(1(1(1(2(z0))))))))), 1'(0(0(1(1(1(1(2(z0)))))))), 0'(0(1(1(1(1(2(z0))))))), 0'(1(1(1(1(2(z0)))))), 1'(1(1(1(2(z0))))), 1'(1(1(2(z0)))), 1'(1(2(z0))), 1'(2(z0)), 2'(z0)) 2'(2(0(2(1(0(1(0(1(z0))))))))) -> c65(2'(1(1(1(0(2(0(2(0(z0))))))))), 1'(1(1(0(2(0(2(0(z0)))))))), 1'(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)) 2'(0(1(0(0(1(0(0(2(2(z0)))))))))) -> c66(1'(2(2(1(1(2(2(0(2(0(2(1(1(z0))))))))))))), 2'(2(1(1(2(2(0(2(0(2(1(1(z0)))))))))))), 2'(1(1(2(2(0(2(0(2(1(1(z0))))))))))), 1'(1(2(2(0(2(0(2(1(1(z0)))))))))), 1'(2(2(0(2(0(2(1(1(z0))))))))), 2'(2(0(2(0(2(1(1(z0)))))))), 2'(0(2(0(2(1(1(z0))))))), 0'(2(0(2(1(1(z0)))))), 2'(0(2(1(1(z0))))), 0'(2(1(1(z0)))), 2'(1(1(z0))), 1'(1(z0)), 1'(z0)) 2'(1(0(0(0(0(2(0(0(0(2(0(z0)))))))))))) -> c67(1'(2(1(2(2(0(2(2(1(2(1(1(0(1(1(z0))))))))))))))), 2'(1(2(2(0(2(2(1(2(1(1(0(1(1(z0)))))))))))))), 1'(2(2(0(2(2(1(2(1(1(0(1(1(z0))))))))))))), 2'(2(0(2(2(1(2(1(1(0(1(1(z0)))))))))))), 2'(0(2(2(1(2(1(1(0(1(1(z0))))))))))), 0'(2(2(1(2(1(1(0(1(1(z0)))))))))), 2'(2(1(2(1(1(0(1(1(z0))))))))), 2'(1(2(1(1(0(1(1(z0)))))))), 1'(2(1(1(0(1(1(z0))))))), 2'(1(1(0(1(1(z0)))))), 1'(1(0(1(1(z0))))), 1'(0(1(1(z0)))), 0'(1(1(z0))), 1'(1(z0)), 1'(z0)) 2'(0(2(0(1(2(2(0(2(1(0(0(0(z0))))))))))))) -> c68(1'(1(1(1(2(0(1(0(1(0(2(0(1(1(2(1(z0)))))))))))))))), 1'(1(1(2(0(1(0(1(0(2(0(1(1(2(1(z0))))))))))))))), 1'(1(2(0(1(0(1(0(2(0(1(1(2(1(z0)))))))))))))), 1'(2(0(1(0(1(0(2(0(1(1(2(1(z0))))))))))))), 2'(0(1(0(1(0(2(0(1(1(2(1(z0)))))))))))), 0'(1(0(1(0(2(0(1(1(2(1(z0))))))))))), 1'(0(1(0(2(0(1(1(2(1(z0)))))))))), 0'(1(0(2(0(1(1(2(1(z0))))))))), 1'(0(2(0(1(1(2(1(z0)))))))), 0'(2(0(1(1(2(1(z0))))))), 2'(0(1(1(2(1(z0)))))), 0'(1(1(2(1(z0))))), 1'(1(2(1(z0)))), 1'(2(1(z0))), 2'(1(z0)), 1'(z0)) 2'(2(2(2(0(0(1(2(2(1(1(0(0(z0))))))))))))) -> c69(2'(2(2(0(0(2(0(1(1(0(1(1(1(1(1(z0))))))))))))))), 2'(2(0(0(2(0(1(1(0(1(1(1(1(1(z0)))))))))))))), 2'(0(0(2(0(1(1(0(1(1(1(1(1(z0))))))))))))), 0'(0(2(0(1(1(0(1(1(1(1(1(z0)))))))))))), 0'(2(0(1(1(0(1(1(1(1(1(z0))))))))))), 2'(0(1(1(0(1(1(1(1(1(z0)))))))))), 0'(1(1(0(1(1(1(1(1(z0))))))))), 1'(1(0(1(1(1(1(1(z0)))))))), 1'(0(1(1(1(1(1(z0))))))), 0'(1(1(1(1(1(z0)))))), 1'(1(1(1(1(z0))))), 1'(1(1(1(z0)))), 1'(1(1(z0))), 1'(1(z0)), 1'(z0)) 2'(0(2(0(2(2(0(2(0(1(0(0(0(0(1(2(z0)))))))))))))))) -> c70(1'(1(2(1(0(0(2(1(1(2(1(2(1(1(2(1(2(1(2(2(0(2(z0)))))))))))))))))))))), 1'(2(1(0(0(2(1(1(2(1(2(1(1(2(1(2(1(2(2(0(2(z0))))))))))))))))))))), 2'(1(0(0(2(1(1(2(1(2(1(1(2(1(2(1(2(2(0(2(z0)))))))))))))))))))), 1'(0(0(2(1(1(2(1(2(1(1(2(1(2(1(2(2(0(2(z0))))))))))))))))))), 0'(0(2(1(1(2(1(2(1(1(2(1(2(1(2(2(0(2(z0)))))))))))))))))), 0'(2(1(1(2(1(2(1(1(2(1(2(1(2(2(0(2(z0))))))))))))))))), 2'(1(1(2(1(2(1(1(2(1(2(1(2(2(0(2(z0)))))))))))))))), 1'(1(2(1(2(1(1(2(1(2(1(2(2(0(2(z0))))))))))))))), 1'(2(1(2(1(1(2(1(2(1(2(2(0(2(z0)))))))))))))), 2'(1(2(1(1(2(1(2(1(2(2(0(2(z0))))))))))))), 1'(2(1(1(2(1(2(1(2(2(0(2(z0)))))))))))), 2'(1(1(2(1(2(1(2(2(0(2(z0))))))))))), 1'(1(2(1(2(1(2(2(0(2(z0)))))))))), 1'(2(1(2(1(2(2(0(2(z0))))))))), 2'(1(2(1(2(2(0(2(z0)))))))), 1'(2(1(2(2(0(2(z0))))))), 2'(1(2(2(0(2(z0)))))), 1'(2(2(0(2(z0))))), 2'(2(0(2(z0)))), 2'(0(2(z0))), 0'(2(z0)), 2'(z0)) 2'(0(2(2(2(2(1(2(0(1(0(1(0(2(2(1(z0)))))))))))))))) -> c71(2'(1(2(1(2(2(2(0(0(1(2(2(1(0(0(2(z0)))))))))))))))), 1'(2(1(2(2(2(0(0(1(2(2(1(0(0(2(z0))))))))))))))), 2'(1(2(2(2(0(0(1(2(2(1(0(0(2(z0)))))))))))))), 1'(2(2(2(0(0(1(2(2(1(0(0(2(z0))))))))))))), 2'(2(2(0(0(1(2(2(1(0(0(2(z0)))))))))))), 2'(2(0(0(1(2(2(1(0(0(2(z0))))))))))), 2'(0(0(1(2(2(1(0(0(2(z0)))))))))), 0'(0(1(2(2(1(0(0(2(z0))))))))), 0'(1(2(2(1(0(0(2(z0)))))))), 1'(2(2(1(0(0(2(z0))))))), 2'(2(1(0(0(2(z0)))))), 2'(1(0(0(2(z0))))), 1'(0(0(2(z0)))), 0'(0(2(z0))), 0'(2(z0)), 2'(z0)) 2'(1(2(0(1(2(1(0(0(2(0(0(2(0(0(1(2(z0))))))))))))))))) -> c72(1'(2(1(2(1(1(2(0(2(0(2(1(1(1(1(0(2(1(1(z0))))))))))))))))))), 2'(1(2(1(1(2(0(2(0(2(1(1(1(1(0(2(1(1(z0)))))))))))))))))), 1'(2(1(1(2(0(2(0(2(1(1(1(1(0(2(1(1(z0))))))))))))))))), 2'(1(1(2(0(2(0(2(1(1(1(1(0(2(1(1(z0)))))))))))))))), 1'(1(2(0(2(0(2(1(1(1(1(0(2(1(1(z0))))))))))))))), 1'(2(0(2(0(2(1(1(1(1(0(2(1(1(z0)))))))))))))), 2'(0(2(0(2(1(1(1(1(0(2(1(1(z0))))))))))))), 0'(2(0(2(1(1(1(1(0(2(1(1(z0)))))))))))), 2'(0(2(1(1(1(1(0(2(1(1(z0))))))))))), 0'(2(1(1(1(1(0(2(1(1(z0)))))))))), 2'(1(1(1(1(0(2(1(1(z0))))))))), 1'(1(1(1(0(2(1(1(z0)))))))), 1'(1(1(0(2(1(1(z0))))))), 1'(1(0(2(1(1(z0)))))), 1'(0(2(1(1(z0))))), 0'(2(1(1(z0)))), 2'(1(1(z0))), 1'(1(z0)), 1'(z0)) 2'(2(2(2(0(0(1(0(1(1(1(2(0(2(0(2(2(0(0(z0))))))))))))))))))) -> c73(2'(0(0(0(1(1(0(2(2(2(1(2(0(0(1(1(2(1(1(1(2(1(2(z0))))))))))))))))))))))), 0'(0(0(1(1(0(2(2(2(1(2(0(0(1(1(2(1(1(1(2(1(2(z0)))))))))))))))))))))), 0'(0(1(1(0(2(2(2(1(2(0(0(1(1(2(1(1(1(2(1(2(z0))))))))))))))))))))), 0'(1(1(0(2(2(2(1(2(0(0(1(1(2(1(1(1(2(1(2(z0)))))))))))))))))))), 1'(1(0(2(2(2(1(2(0(0(1(1(2(1(1(1(2(1(2(z0))))))))))))))))))), 1'(0(2(2(2(1(2(0(0(1(1(2(1(1(1(2(1(2(z0)))))))))))))))))), 0'(2(2(2(1(2(0(0(1(1(2(1(1(1(2(1(2(z0))))))))))))))))), 2'(2(2(1(2(0(0(1(1(2(1(1(1(2(1(2(z0)))))))))))))))), 2'(2(1(2(0(0(1(1(2(1(1(1(2(1(2(z0))))))))))))))), 2'(1(2(0(0(1(1(2(1(1(1(2(1(2(z0)))))))))))))), 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2'(0(0(2(0(1(0(1(0(2(2(1(1(0(0(0(1(2(1(1(1(1(0(2(1(z0))))))))))))))))))))))))), 0'(0(2(0(1(0(1(0(2(2(1(1(0(0(0(1(2(1(1(1(1(0(2(1(z0)))))))))))))))))))))))), 0'(2(0(1(0(1(0(2(2(1(1(0(0(0(1(2(1(1(1(1(0(2(1(z0))))))))))))))))))))))), 2'(0(1(0(1(0(2(2(1(1(0(0(0(1(2(1(1(1(1(0(2(1(z0)))))))))))))))))))))), 0'(1(0(1(0(2(2(1(1(0(0(0(1(2(1(1(1(1(0(2(1(z0))))))))))))))))))))), 1'(0(1(0(2(2(1(1(0(0(0(1(2(1(1(1(1(0(2(1(z0)))))))))))))))))))), 0'(1(0(2(2(1(1(0(0(0(1(2(1(1(1(1(0(2(1(z0))))))))))))))))))), 1'(0(2(2(1(1(0(0(0(1(2(1(1(1(1(0(2(1(z0)))))))))))))))))), 0'(2(2(1(1(0(0(0(1(2(1(1(1(1(0(2(1(z0))))))))))))))))), 2'(2(1(1(0(0(0(1(2(1(1(1(1(0(2(1(z0)))))))))))))))), 2'(1(1(0(0(0(1(2(1(1(1(1(0(2(1(z0))))))))))))))), 1'(1(0(0(0(1(2(1(1(1(1(0(2(1(z0)))))))))))))), 1'(0(0(0(1(2(1(1(1(1(0(2(1(z0))))))))))))), 0'(0(0(1(2(1(1(1(1(0(2(1(z0)))))))))))), 0'(0(1(2(1(1(1(1(0(2(1(z0))))))))))), 0'(1(2(1(1(1(1(0(2(1(z0)))))))))), 1'(2(1(1(1(1(0(2(1(z0))))))))), 2'(1(1(1(1(0(2(1(z0)))))))), 1'(1(1(1(0(2(1(z0))))))), 1'(1(1(0(2(1(z0)))))), 1'(1(0(2(1(z0))))), 1'(0(2(1(z0)))), 0'(2(1(z0))), 2'(1(z0)), 1'(z0)) 1'(1(0(2(0(1(2(1(0(0(1(0(0(2(1(0(2(0(1(0(0(0(1(0(1(z0))))))))))))))))))))))))) -> c113(2'(1(0(2(0(0(1(1(2(2(1(2(0(2(2(1(2(1(2(2(1(0(2(1(2(1(z0)))))))))))))))))))))))))), 1'(0(2(0(0(1(1(2(2(1(2(0(2(2(1(2(1(2(2(1(0(2(1(2(1(z0))))))))))))))))))))))))), 0'(2(0(0(1(1(2(2(1(2(0(2(2(1(2(1(2(2(1(0(2(1(2(1(z0)))))))))))))))))))))))), 2'(0(0(1(1(2(2(1(2(0(2(2(1(2(1(2(2(1(0(2(1(2(1(z0))))))))))))))))))))))), 0'(0(1(1(2(2(1(2(0(2(2(1(2(1(2(2(1(0(2(1(2(1(z0)))))))))))))))))))))), 0'(1(1(2(2(1(2(0(2(2(1(2(1(2(2(1(0(2(1(2(1(z0))))))))))))))))))))), 1'(1(2(2(1(2(0(2(2(1(2(1(2(2(1(0(2(1(2(1(z0)))))))))))))))))))), 1'(2(2(1(2(0(2(2(1(2(1(2(2(1(0(2(1(2(1(z0))))))))))))))))))), 2'(2(1(2(0(2(2(1(2(1(2(2(1(0(2(1(2(1(z0)))))))))))))))))), 2'(1(2(0(2(2(1(2(1(2(2(1(0(2(1(2(1(z0))))))))))))))))), 1'(2(0(2(2(1(2(1(2(2(1(0(2(1(2(1(z0)))))))))))))))), 2'(0(2(2(1(2(1(2(2(1(0(2(1(2(1(z0))))))))))))))), 0'(2(2(1(2(1(2(2(1(0(2(1(2(1(z0)))))))))))))), 2'(2(1(2(1(2(2(1(0(2(1(2(1(z0))))))))))))), 2'(1(2(1(2(2(1(0(2(1(2(1(z0)))))))))))), 1'(2(1(2(2(1(0(2(1(2(1(z0))))))))))), 2'(1(2(2(1(0(2(1(2(1(z0)))))))))), 1'(2(2(1(0(2(1(2(1(z0))))))))), 2'(2(1(0(2(1(2(1(z0)))))))), 2'(1(0(2(1(2(1(z0))))))), 1'(0(2(1(2(1(z0)))))), 0'(2(1(2(1(z0))))), 2'(1(2(1(z0)))), 1'(2(1(z0))), 2'(1(z0)), 1'(z0)) 1'(0(1(1(1(2(2(1(0(1(0(2(1(1(0(2(1(0(1(2(1(0(2(2(1(0(0(z0))))))))))))))))))))))))))) -> c114(2'(2(2(2(1(2(1(1(1(2(2(2(1(2(2(2(1(1(0(1(1(2(1(0(2(2(1(1(z0)))))))))))))))))))))))))))), 2'(2(2(1(2(1(1(1(2(2(2(1(2(2(2(1(1(0(1(1(2(1(0(2(2(1(1(z0))))))))))))))))))))))))))), 2'(2(1(2(1(1(1(2(2(2(1(2(2(2(1(1(0(1(1(2(1(0(2(2(1(1(z0)))))))))))))))))))))))))), 2'(1(2(1(1(1(2(2(2(1(2(2(2(1(1(0(1(1(2(1(0(2(2(1(1(z0))))))))))))))))))))))))), 1'(2(1(1(1(2(2(2(1(2(2(2(1(1(0(1(1(2(1(0(2(2(1(1(z0)))))))))))))))))))))))), 2'(1(1(1(2(2(2(1(2(2(2(1(1(0(1(1(2(1(0(2(2(1(1(z0))))))))))))))))))))))), 1'(1(1(2(2(2(1(2(2(2(1(1(0(1(1(2(1(0(2(2(1(1(z0)))))))))))))))))))))), 1'(1(2(2(2(1(2(2(2(1(1(0(1(1(2(1(0(2(2(1(1(z0))))))))))))))))))))), 1'(2(2(2(1(2(2(2(1(1(0(1(1(2(1(0(2(2(1(1(z0)))))))))))))))))))), 2'(2(2(1(2(2(2(1(1(0(1(1(2(1(0(2(2(1(1(z0))))))))))))))))))), 2'(2(1(2(2(2(1(1(0(1(1(2(1(0(2(2(1(1(z0)))))))))))))))))), 2'(1(2(2(2(1(1(0(1(1(2(1(0(2(2(1(1(z0))))))))))))))))), 1'(2(2(2(1(1(0(1(1(2(1(0(2(2(1(1(z0)))))))))))))))), 2'(2(2(1(1(0(1(1(2(1(0(2(2(1(1(z0))))))))))))))), 2'(2(1(1(0(1(1(2(1(0(2(2(1(1(z0)))))))))))))), 2'(1(1(0(1(1(2(1(0(2(2(1(1(z0))))))))))))), 1'(1(0(1(1(2(1(0(2(2(1(1(z0)))))))))))), 1'(0(1(1(2(1(0(2(2(1(1(z0))))))))))), 0'(1(1(2(1(0(2(2(1(1(z0)))))))))), 1'(1(2(1(0(2(2(1(1(z0))))))))), 1'(2(1(0(2(2(1(1(z0)))))))), 2'(1(0(2(2(1(1(z0))))))), 1'(0(2(2(1(1(z0)))))), 0'(2(2(1(1(z0))))), 2'(2(1(1(z0)))), 2'(1(1(z0))), 1'(1(z0)), 1'(z0)) 1'(2(2(1(1(2(2(1(1(2(1(2(2(0(0(1(2(1(0(1(1(0(1(0(0(2(2(0(z0)))))))))))))))))))))))))))) -> c115(1'(2(1(2(1(0(1(2(2(2(1(2(0(0(0(2(1(0(0(1(1(1(0(0(1(1(1(1(1(0(z0)))))))))))))))))))))))))))))), 2'(1(2(1(0(1(2(2(2(1(2(0(0(0(2(1(0(0(1(1(1(0(0(1(1(1(1(1(0(z0))))))))))))))))))))))))))))), 1'(2(1(0(1(2(2(2(1(2(0(0(0(2(1(0(0(1(1(1(0(0(1(1(1(1(1(0(z0)))))))))))))))))))))))))))), 2'(1(0(1(2(2(2(1(2(0(0(0(2(1(0(0(1(1(1(0(0(1(1(1(1(1(0(z0))))))))))))))))))))))))))), 1'(0(1(2(2(2(1(2(0(0(0(2(1(0(0(1(1(1(0(0(1(1(1(1(1(0(z0)))))))))))))))))))))))))), 0'(1(2(2(2(1(2(0(0(0(2(1(0(0(1(1(1(0(0(1(1(1(1(1(0(z0))))))))))))))))))))))))), 1'(2(2(2(1(2(0(0(0(2(1(0(0(1(1(1(0(0(1(1(1(1(1(0(z0)))))))))))))))))))))))), 2'(2(2(1(2(0(0(0(2(1(0(0(1(1(1(0(0(1(1(1(1(1(0(z0))))))))))))))))))))))), 2'(2(1(2(0(0(0(2(1(0(0(1(1(1(0(0(1(1(1(1(1(0(z0)))))))))))))))))))))), 2'(1(2(0(0(0(2(1(0(0(1(1(1(0(0(1(1(1(1(1(0(z0))))))))))))))))))))), 1'(2(0(0(0(2(1(0(0(1(1(1(0(0(1(1(1(1(1(0(z0)))))))))))))))))))), 2'(0(0(0(2(1(0(0(1(1(1(0(0(1(1(1(1(1(0(z0))))))))))))))))))), 0'(0(0(2(1(0(0(1(1(1(0(0(1(1(1(1(1(0(z0)))))))))))))))))), 0'(0(2(1(0(0(1(1(1(0(0(1(1(1(1(1(0(z0))))))))))))))))), 0'(2(1(0(0(1(1(1(0(0(1(1(1(1(1(0(z0)))))))))))))))), 2'(1(0(0(1(1(1(0(0(1(1(1(1(1(0(z0))))))))))))))), 1'(0(0(1(1(1(0(0(1(1(1(1(1(0(z0)))))))))))))), 0'(0(1(1(1(0(0(1(1(1(1(1(0(z0))))))))))))), 0'(1(1(1(0(0(1(1(1(1(1(0(z0)))))))))))), 1'(1(1(0(0(1(1(1(1(1(0(z0))))))))))), 1'(1(0(0(1(1(1(1(1(0(z0)))))))))), 1'(0(0(1(1(1(1(1(0(z0))))))))), 0'(0(1(1(1(1(1(0(z0)))))))), 0'(1(1(1(1(1(0(z0))))))), 1'(1(1(1(1(0(z0)))))), 1'(1(1(1(0(z0))))), 1'(1(1(0(z0)))), 1'(1(0(z0))), 1'(0(z0)), 0'(z0)) S tuples: 0'(z0) -> c6(1'(1(z0)), 1'(z0)) 0'(0(z0)) -> c7(1'(1(2(z0))), 1'(2(z0)), 2'(z0)) 0'(2(0(0(z0)))) -> c8(0'(2(1(1(1(1(1(1(1(1(z0)))))))))), 2'(1(1(1(1(1(1(1(1(z0))))))))), 1'(1(1(1(1(1(1(1(z0)))))))), 1'(1(1(1(1(1(1(z0))))))), 1'(1(1(1(1(1(z0)))))), 1'(1(1(1(1(z0))))), 1'(1(1(1(z0)))), 1'(1(1(z0))), 1'(1(z0)), 1'(z0)) 0'(0(2(0(2(z0))))) -> c9(1'(2(2(1(1(2(2(1(1(z0))))))))), 2'(2(1(1(2(2(1(1(z0)))))))), 2'(1(1(2(2(1(1(z0))))))), 1'(1(2(2(1(1(z0)))))), 1'(2(2(1(1(z0))))), 2'(2(1(1(z0)))), 2'(1(1(z0))), 1'(1(z0)), 1'(z0)) 0'(2(0(2(0(0(z0)))))) -> c10(0'(1(2(2(1(2(0(z0))))))), 1'(2(2(1(2(0(z0)))))), 2'(2(1(2(0(z0))))), 2'(1(2(0(z0)))), 1'(2(0(z0))), 2'(0(z0)), 0'(z0)) 0'(0(0(0(2(0(1(2(z0)))))))) -> c11(1'(1(1(2(1(1(1(0(0(0(2(z0))))))))))), 1'(1(2(1(1(1(0(0(0(2(z0)))))))))), 1'(2(1(1(1(0(0(0(2(z0))))))))), 2'(1(1(1(0(0(0(2(z0)))))))), 1'(1(1(0(0(0(2(z0))))))), 1'(1(0(0(0(2(z0)))))), 1'(0(0(0(2(z0))))), 0'(0(0(2(z0)))), 0'(0(2(z0))), 0'(2(z0)), 2'(z0)) 0'(0(2(1(0(2(2(1(z0)))))))) -> c12(1'(1(0(1(0(2(1(1(1(0(z0)))))))))), 1'(0(1(0(2(1(1(1(0(z0))))))))), 0'(1(0(2(1(1(1(0(z0)))))))), 1'(0(2(1(1(1(0(z0))))))), 0'(2(1(1(1(0(z0)))))), 2'(1(1(1(0(z0))))), 1'(1(1(0(z0)))), 1'(1(0(z0))), 1'(0(z0)), 0'(z0)) 0'(2(0(1(2(0(1(1(2(z0))))))))) -> c13(1'(2(2(1(1(1(2(2(1(0(z0)))))))))), 2'(2(1(1(1(2(2(1(0(z0))))))))), 2'(1(1(1(2(2(1(0(z0)))))))), 1'(1(1(2(2(1(0(z0))))))), 1'(1(2(2(1(0(z0)))))), 1'(2(2(1(0(z0))))), 2'(2(1(0(z0)))), 2'(1(0(z0))), 1'(0(z0)), 0'(z0)) 0'(0(1(0(2(2(0(1(2(0(z0)))))))))) -> c14(2'(2(2(1(1(1(1(2(2(1(2(2(2(1(2(z0))))))))))))))), 2'(2(1(1(1(1(2(2(1(2(2(2(1(2(z0)))))))))))))), 2'(1(1(1(1(2(2(1(2(2(2(1(2(z0))))))))))))), 1'(1(1(1(2(2(1(2(2(2(1(2(z0)))))))))))), 1'(1(1(2(2(1(2(2(2(1(2(z0))))))))))), 1'(1(2(2(1(2(2(2(1(2(z0)))))))))), 1'(2(2(1(2(2(2(1(2(z0))))))))), 2'(2(1(2(2(2(1(2(z0)))))))), 2'(1(2(2(2(1(2(z0))))))), 1'(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)) 0'(1(1(0(0(2(0(1(2(2(z0)))))))))) -> c15(1'(1(2(1(1(2(1(1(0(0(0(2(1(z0))))))))))))), 1'(2(1(1(2(1(1(0(0(0(2(1(z0)))))))))))), 2'(1(1(2(1(1(0(0(0(2(1(z0))))))))))), 1'(1(2(1(1(0(0(0(2(1(z0)))))))))), 1'(2(1(1(0(0(0(2(1(z0))))))))), 2'(1(1(0(0(0(2(1(z0)))))))), 1'(1(0(0(0(2(1(z0))))))), 1'(0(0(0(2(1(z0)))))), 0'(0(0(2(1(z0))))), 0'(0(2(1(z0)))), 0'(2(1(z0))), 2'(1(z0)), 1'(z0)) 0'(0(0(1(2(1(2(1(2(0(1(z0))))))))))) -> c16(1'(2(2(1(0(0(1(1(2(2(1(2(z0)))))))))))), 2'(2(1(0(0(1(1(2(2(1(2(z0))))))))))), 2'(1(0(0(1(1(2(2(1(2(z0)))))))))), 1'(0(0(1(1(2(2(1(2(z0))))))))), 0'(0(1(1(2(2(1(2(z0)))))))), 0'(1(1(2(2(1(2(z0))))))), 1'(1(2(2(1(2(z0)))))), 1'(2(2(1(2(z0))))), 2'(2(1(2(z0)))), 2'(1(2(z0))), 1'(2(z0)), 2'(z0)) 0'(0(2(0(0(1(0(1(1(1(2(z0))))))))))) -> c17(1'(2(1(1(1(0(2(1(0(1(2(2(1(z0))))))))))))), 2'(1(1(1(0(2(1(0(1(2(2(1(z0)))))))))))), 1'(1(1(0(2(1(0(1(2(2(1(z0))))))))))), 1'(1(0(2(1(0(1(2(2(1(z0)))))))))), 1'(0(2(1(0(1(2(2(1(z0))))))))), 0'(2(1(0(1(2(2(1(z0)))))))), 2'(1(0(1(2(2(1(z0))))))), 1'(0(1(2(2(1(z0)))))), 0'(1(2(2(1(z0))))), 1'(2(2(1(z0)))), 2'(2(1(z0))), 2'(1(z0)), 1'(z0)) 0'(0(2(0(2(2(2(2(2(2(0(z0))))))))))) -> c18(0'(2(0(1(0(0(1(1(1(1(2(1(z0)))))))))))), 2'(0(1(0(0(1(1(1(1(2(1(z0))))))))))), 0'(1(0(0(1(1(1(1(2(1(z0)))))))))), 1'(0(0(1(1(1(1(2(1(z0))))))))), 0'(0(1(1(1(1(2(1(z0)))))))), 0'(1(1(1(1(2(1(z0))))))), 1'(1(1(1(2(1(z0)))))), 1'(1(1(2(1(z0))))), 1'(1(2(1(z0)))), 1'(2(1(z0))), 2'(1(z0)), 1'(z0)) 0'(1(2(0(2(1(0(0(0(0(1(z0))))))))))) -> c19(2'(2(1(2(0(1(2(1(2(0(1(2(z0)))))))))))), 2'(1(2(0(1(2(1(2(0(1(2(z0))))))))))), 1'(2(0(1(2(1(2(0(1(2(z0)))))))))), 2'(0(1(2(1(2(0(1(2(z0))))))))), 0'(1(2(1(2(0(1(2(z0)))))))), 1'(2(1(2(0(1(2(z0))))))), 2'(1(2(0(1(2(z0)))))), 1'(2(0(1(2(z0))))), 2'(0(1(2(z0)))), 0'(1(2(z0))), 1'(2(z0)), 2'(z0)) 0'(2(0(2(2(0(2(0(0(0(2(z0))))))))))) -> c20(0'(1(1(0(2(2(1(1(1(0(1(2(0(2(z0)))))))))))))), 1'(1(0(2(2(1(1(1(0(1(2(0(2(z0))))))))))))), 1'(0(2(2(1(1(1(0(1(2(0(2(z0)))))))))))), 0'(2(2(1(1(1(0(1(2(0(2(z0))))))))))), 2'(2(1(1(1(0(1(2(0(2(z0)))))))))), 2'(1(1(1(0(1(2(0(2(z0))))))))), 1'(1(1(0(1(2(0(2(z0)))))))), 1'(1(0(1(2(0(2(z0))))))), 1'(0(1(2(0(2(z0)))))), 0'(1(2(0(2(z0))))), 1'(2(0(2(z0)))), 2'(0(2(z0))), 0'(2(z0)), 2'(z0)) 0'(1(0(1(0(2(1(1(2(0(2(0(z0)))))))))))) -> c21(1'(1(1(1(0(2(1(1(2(1(2(2(2(2(1(1(z0)))))))))))))))), 1'(1(1(0(2(1(1(2(1(2(2(2(2(1(1(z0))))))))))))))), 1'(1(0(2(1(1(2(1(2(2(2(2(1(1(z0)))))))))))))), 1'(0(2(1(1(2(1(2(2(2(2(1(1(z0))))))))))))), 0'(2(1(1(2(1(2(2(2(2(1(1(z0)))))))))))), 2'(1(1(2(1(2(2(2(2(1(1(z0))))))))))), 1'(1(2(1(2(2(2(2(1(1(z0)))))))))), 1'(2(1(2(2(2(2(1(1(z0))))))))), 2'(1(2(2(2(2(1(1(z0)))))))), 1'(2(2(2(2(1(1(z0))))))), 2'(2(2(2(1(1(z0)))))), 2'(2(2(1(1(z0))))), 2'(2(1(1(z0)))), 2'(1(1(z0))), 1'(1(z0)), 1'(z0)) 0'(1(1(2(0(2(0(2(2(2(1(0(z0)))))))))))) -> c22(2'(0(1(0(0(1(1(0(1(1(0(2(0(z0))))))))))))), 0'(1(0(0(1(1(0(1(1(0(2(0(z0)))))))))))), 1'(0(0(1(1(0(1(1(0(2(0(z0))))))))))), 0'(0(1(1(0(1(1(0(2(0(z0)))))))))), 0'(1(1(0(1(1(0(2(0(z0))))))))), 1'(1(0(1(1(0(2(0(z0)))))))), 1'(0(1(1(0(2(0(z0))))))), 0'(1(1(0(2(0(z0)))))), 1'(1(0(2(0(z0))))), 1'(0(2(0(z0)))), 0'(2(0(z0))), 2'(0(z0)), 0'(z0)) 0'(1(1(2(2(1(1(2(2(0(0(0(z0)))))))))))) -> c23(2'(2(1(1(2(1(1(1(2(1(1(0(2(1(z0)))))))))))))), 2'(1(1(2(1(1(1(2(1(1(0(2(1(z0))))))))))))), 1'(1(2(1(1(1(2(1(1(0(2(1(z0)))))))))))), 1'(2(1(1(1(2(1(1(0(2(1(z0))))))))))), 2'(1(1(1(2(1(1(0(2(1(z0)))))))))), 1'(1(1(2(1(1(0(2(1(z0))))))))), 1'(1(2(1(1(0(2(1(z0)))))))), 1'(2(1(1(0(2(1(z0))))))), 2'(1(1(0(2(1(z0)))))), 1'(1(0(2(1(z0))))), 1'(0(2(1(z0)))), 0'(2(1(z0))), 2'(1(z0)), 1'(z0)) 0'(1(2(0(1(1(0(1(2(2(0(0(z0)))))))))))) -> c24(1'(1(1(1(0(1(2(0(0(2(1(0(2(1(z0)))))))))))))), 1'(1(1(0(1(2(0(0(2(1(0(2(1(z0))))))))))))), 1'(1(0(1(2(0(0(2(1(0(2(1(z0)))))))))))), 1'(0(1(2(0(0(2(1(0(2(1(z0))))))))))), 0'(1(2(0(0(2(1(0(2(1(z0)))))))))), 1'(2(0(0(2(1(0(2(1(z0))))))))), 2'(0(0(2(1(0(2(1(z0)))))))), 0'(0(2(1(0(2(1(z0))))))), 0'(2(1(0(2(1(z0)))))), 2'(1(0(2(1(z0))))), 1'(0(2(1(z0)))), 0'(2(1(z0))), 2'(1(z0)), 1'(z0)) 0'(1(2(2(0(0(1(2(2(0(0(0(z0)))))))))))) -> c25(1'(1(2(2(2(2(0(2(1(2(1(0(1(z0))))))))))))), 1'(2(2(2(2(0(2(1(2(1(0(1(z0)))))))))))), 2'(2(2(2(0(2(1(2(1(0(1(z0))))))))))), 2'(2(2(0(2(1(2(1(0(1(z0)))))))))), 2'(2(0(2(1(2(1(0(1(z0))))))))), 2'(0(2(1(2(1(0(1(z0)))))))), 0'(2(1(2(1(0(1(z0))))))), 2'(1(2(1(0(1(z0)))))), 1'(2(1(0(1(z0))))), 2'(1(0(1(z0)))), 1'(0(1(z0))), 0'(1(z0)), 1'(z0)) 0'(1(2(2(0(1(1(0(2(0(0(0(z0)))))))))))) -> c26(1'(2(1(2(1(2(0(2(0(2(1(1(0(z0))))))))))))), 2'(1(2(1(2(0(2(0(2(1(1(0(z0)))))))))))), 1'(2(1(2(0(2(0(2(1(1(0(z0))))))))))), 2'(1(2(0(2(0(2(1(1(0(z0)))))))))), 1'(2(0(2(0(2(1(1(0(z0))))))))), 2'(0(2(0(2(1(1(0(z0)))))))), 0'(2(0(2(1(1(0(z0))))))), 2'(0(2(1(1(0(z0)))))), 0'(2(1(1(0(z0))))), 2'(1(1(0(z0)))), 1'(1(0(z0))), 1'(0(z0)), 0'(z0)) 0'(0(1(0(1(1(1(0(1(0(2(0(0(1(z0)))))))))))))) -> c27(1'(2(1(1(1(1(0(1(1(0(0(2(1(0(0(0(z0)))))))))))))))), 2'(1(1(1(1(0(1(1(0(0(2(1(0(0(0(z0))))))))))))))), 1'(1(1(1(0(1(1(0(0(2(1(0(0(0(z0)))))))))))))), 1'(1(1(0(1(1(0(0(2(1(0(0(0(z0))))))))))))), 1'(1(0(1(1(0(0(2(1(0(0(0(z0)))))))))))), 1'(0(1(1(0(0(2(1(0(0(0(z0))))))))))), 0'(1(1(0(0(2(1(0(0(0(z0)))))))))), 1'(1(0(0(2(1(0(0(0(z0))))))))), 1'(0(0(2(1(0(0(0(z0)))))))), 0'(0(2(1(0(0(0(z0))))))), 0'(2(1(0(0(0(z0)))))), 2'(1(0(0(0(z0))))), 1'(0(0(0(z0)))), 0'(0(0(z0))), 0'(0(z0)), 0'(z0)) 0'(2(2(1(0(1(0(2(1(2(2(1(1(2(z0)))))))))))))) -> c28(2'(1(1(2(2(1(0(1(2(1(2(1(2(1(0(z0))))))))))))))), 1'(1(2(2(1(0(1(2(1(2(1(2(1(0(z0)))))))))))))), 1'(2(2(1(0(1(2(1(2(1(2(1(0(z0))))))))))))), 2'(2(1(0(1(2(1(2(1(2(1(0(z0)))))))))))), 2'(1(0(1(2(1(2(1(2(1(0(z0))))))))))), 1'(0(1(2(1(2(1(2(1(0(z0)))))))))), 0'(1(2(1(2(1(2(1(0(z0))))))))), 1'(2(1(2(1(2(1(0(z0)))))))), 2'(1(2(1(2(1(0(z0))))))), 1'(2(1(2(1(0(z0)))))), 2'(1(2(1(0(z0))))), 1'(2(1(0(z0)))), 2'(1(0(z0))), 1'(0(z0)), 0'(z0)) 0'(2(2(0(1(0(0(2(2(2(1(2(2(2(2(z0))))))))))))))) -> c29(2'(2(1(0(2(1(2(2(0(0(0(1(0(0(1(1(z0)))))))))))))))), 2'(1(0(2(1(2(2(0(0(0(1(0(0(1(1(z0))))))))))))))), 1'(0(2(1(2(2(0(0(0(1(0(0(1(1(z0)))))))))))))), 0'(2(1(2(2(0(0(0(1(0(0(1(1(z0))))))))))))), 2'(1(2(2(0(0(0(1(0(0(1(1(z0)))))))))))), 1'(2(2(0(0(0(1(0(0(1(1(z0))))))))))), 2'(2(0(0(0(1(0(0(1(1(z0)))))))))), 2'(0(0(0(1(0(0(1(1(z0))))))))), 0'(0(0(1(0(0(1(1(z0)))))))), 0'(0(1(0(0(1(1(z0))))))), 0'(1(0(0(1(1(z0)))))), 1'(0(0(1(1(z0))))), 0'(0(1(1(z0)))), 0'(1(1(z0))), 1'(1(z0)), 1'(z0)) 0'(2(1(0(0(1(0(2(2(0(0(2(0(0(2(1(z0)))))))))))))))) -> c30(0'(1(2(1(2(0(0(1(1(2(2(2(0(1(1(2(2(2(1(2(z0)))))))))))))))))))), 1'(2(1(2(0(0(1(1(2(2(2(0(1(1(2(2(2(1(2(z0))))))))))))))))))), 2'(1(2(0(0(1(1(2(2(2(0(1(1(2(2(2(1(2(z0)))))))))))))))))), 1'(2(0(0(1(1(2(2(2(0(1(1(2(2(2(1(2(z0))))))))))))))))), 2'(0(0(1(1(2(2(2(0(1(1(2(2(2(1(2(z0)))))))))))))))), 0'(0(1(1(2(2(2(0(1(1(2(2(2(1(2(z0))))))))))))))), 0'(1(1(2(2(2(0(1(1(2(2(2(1(2(z0)))))))))))))), 1'(1(2(2(2(0(1(1(2(2(2(1(2(z0))))))))))))), 1'(2(2(2(0(1(1(2(2(2(1(2(z0)))))))))))), 2'(2(2(0(1(1(2(2(2(1(2(z0))))))))))), 2'(2(0(1(1(2(2(2(1(2(z0)))))))))), 2'(0(1(1(2(2(2(1(2(z0))))))))), 0'(1(1(2(2(2(1(2(z0)))))))), 1'(1(2(2(2(1(2(z0))))))), 1'(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)) 0'(1(0(2(0(1(2(2(0(1(0(0(2(0(1(2(2(z0))))))))))))))))) -> c31(1'(2(2(1(2(1(2(2(1(0(0(0(0(0(0(0(2(z0))))))))))))))))), 2'(2(1(2(1(2(2(1(0(0(0(0(0(0(0(2(z0)))))))))))))))), 2'(1(2(1(2(2(1(0(0(0(0(0(0(0(2(z0))))))))))))))), 1'(2(1(2(2(1(0(0(0(0(0(0(0(2(z0)))))))))))))), 2'(1(2(2(1(0(0(0(0(0(0(0(2(z0))))))))))))), 1'(2(2(1(0(0(0(0(0(0(0(2(z0)))))))))))), 2'(2(1(0(0(0(0(0(0(0(2(z0))))))))))), 2'(1(0(0(0(0(0(0(0(2(z0)))))))))), 1'(0(0(0(0(0(0(0(2(z0))))))))), 0'(0(0(0(0(0(0(2(z0)))))))), 0'(0(0(0(0(0(2(z0))))))), 0'(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)) 0'(1(0(2(2(0(2(2(0(2(1(0(2(1(0(0(2(z0))))))))))))))))) -> c32(1'(1(1(0(1(2(2(0(2(2(1(2(2(0(1(0(1(0(z0)))))))))))))))))), 1'(1(0(1(2(2(0(2(2(1(2(2(0(1(0(1(0(z0))))))))))))))))), 1'(0(1(2(2(0(2(2(1(2(2(0(1(0(1(0(z0)))))))))))))))), 0'(1(2(2(0(2(2(1(2(2(0(1(0(1(0(z0))))))))))))))), 1'(2(2(0(2(2(1(2(2(0(1(0(1(0(z0)))))))))))))), 2'(2(0(2(2(1(2(2(0(1(0(1(0(z0))))))))))))), 2'(0(2(2(1(2(2(0(1(0(1(0(z0)))))))))))), 0'(2(2(1(2(2(0(1(0(1(0(z0))))))))))), 2'(2(1(2(2(0(1(0(1(0(z0)))))))))), 2'(1(2(2(0(1(0(1(0(z0))))))))), 1'(2(2(0(1(0(1(0(z0)))))))), 2'(2(0(1(0(1(0(z0))))))), 2'(0(1(0(1(0(z0)))))), 0'(1(0(1(0(z0))))), 1'(0(1(0(z0)))), 0'(1(0(z0))), 1'(0(z0)), 0'(z0)) 0'(2(0(2(2(2(0(1(0(2(0(2(0(2(1(2(0(z0))))))))))))))))) -> c33(1'(0(1(1(0(2(2(0(1(2(1(0(0(1(2(1(0(1(z0)))))))))))))))))), 0'(1(1(0(2(2(0(1(2(1(0(0(1(2(1(0(1(z0))))))))))))))))), 1'(1(0(2(2(0(1(2(1(0(0(1(2(1(0(1(z0)))))))))))))))), 1'(0(2(2(0(1(2(1(0(0(1(2(1(0(1(z0))))))))))))))), 0'(2(2(0(1(2(1(0(0(1(2(1(0(1(z0)))))))))))))), 2'(2(0(1(2(1(0(0(1(2(1(0(1(z0))))))))))))), 2'(0(1(2(1(0(0(1(2(1(0(1(z0)))))))))))), 0'(1(2(1(0(0(1(2(1(0(1(z0))))))))))), 1'(2(1(0(0(1(2(1(0(1(z0)))))))))), 2'(1(0(0(1(2(1(0(1(z0))))))))), 1'(0(0(1(2(1(0(1(z0)))))))), 0'(0(1(2(1(0(1(z0))))))), 0'(1(2(1(0(1(z0)))))), 1'(2(1(0(1(z0))))), 2'(1(0(1(z0)))), 1'(0(1(z0))), 0'(1(z0)), 1'(z0)) 0'(2(0(2(2(1(0(1(2(0(0(2(1(0(2(2(1(1(z0)))))))))))))))))) -> c34(1'(1(1(0(2(0(1(2(0(2(2(0(1(0(1(0(0(1(1(z0))))))))))))))))))), 1'(1(0(2(0(1(2(0(2(2(0(1(0(1(0(0(1(1(z0)))))))))))))))))), 1'(0(2(0(1(2(0(2(2(0(1(0(1(0(0(1(1(z0))))))))))))))))), 0'(2(0(1(2(0(2(2(0(1(0(1(0(0(1(1(z0)))))))))))))))), 2'(0(1(2(0(2(2(0(1(0(1(0(0(1(1(z0))))))))))))))), 0'(1(2(0(2(2(0(1(0(1(0(0(1(1(z0)))))))))))))), 1'(2(0(2(2(0(1(0(1(0(0(1(1(z0))))))))))))), 2'(0(2(2(0(1(0(1(0(0(1(1(z0)))))))))))), 0'(2(2(0(1(0(1(0(0(1(1(z0))))))))))), 2'(2(0(1(0(1(0(0(1(1(z0)))))))))), 2'(0(1(0(1(0(0(1(1(z0))))))))), 0'(1(0(1(0(0(1(1(z0)))))))), 1'(0(1(0(0(1(1(z0))))))), 0'(1(0(0(1(1(z0)))))), 1'(0(0(1(1(z0))))), 0'(0(1(1(z0)))), 0'(1(1(z0))), 1'(1(z0)), 1'(z0)) 0'(2(2(2(0(1(0(2(0(1(0(0(0(2(2(2(2(0(z0)))))))))))))))))) -> c35(2'(1(2(1(2(0(0(0(2(0(0(1(1(0(2(1(2(0(0(2(z0)))))))))))))))))))), 1'(2(1(2(0(0(0(2(0(0(1(1(0(2(1(2(0(0(2(z0))))))))))))))))))), 2'(1(2(0(0(0(2(0(0(1(1(0(2(1(2(0(0(2(z0)))))))))))))))))), 1'(2(0(0(0(2(0(0(1(1(0(2(1(2(0(0(2(z0))))))))))))))))), 2'(0(0(0(2(0(0(1(1(0(2(1(2(0(0(2(z0)))))))))))))))), 0'(0(0(2(0(0(1(1(0(2(1(2(0(0(2(z0))))))))))))))), 0'(0(2(0(0(1(1(0(2(1(2(0(0(2(z0)))))))))))))), 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0'(1(2(1(0(0(0(z0))))))), 1'(2(1(0(0(0(z0)))))), 2'(1(0(0(0(z0))))), 1'(0(0(0(z0)))), 0'(0(0(z0))), 0'(0(z0)), 0'(z0)) 0'(1(1(2(0(0(2(2(0(0(1(2(2(2(1(2(2(2(2(0(2(0(2(0(0(0(1(z0))))))))))))))))))))))))))) -> c52(0'(1(0(1(1(2(0(1(0(1(1(1(0(2(2(0(1(1(0(0(0(2(0(1(1(1(0(0(z0)))))))))))))))))))))))))))), 1'(0(1(1(2(0(1(0(1(1(1(0(2(2(0(1(1(0(0(0(2(0(1(1(1(0(0(z0))))))))))))))))))))))))))), 0'(1(1(2(0(1(0(1(1(1(0(2(2(0(1(1(0(0(0(2(0(1(1(1(0(0(z0)))))))))))))))))))))))))), 1'(1(2(0(1(0(1(1(1(0(2(2(0(1(1(0(0(0(2(0(1(1(1(0(0(z0))))))))))))))))))))))))), 1'(2(0(1(0(1(1(1(0(2(2(0(1(1(0(0(0(2(0(1(1(1(0(0(z0)))))))))))))))))))))))), 2'(0(1(0(1(1(1(0(2(2(0(1(1(0(0(0(2(0(1(1(1(0(0(z0))))))))))))))))))))))), 0'(1(0(1(1(1(0(2(2(0(1(1(0(0(0(2(0(1(1(1(0(0(z0)))))))))))))))))))))), 1'(0(1(1(1(0(2(2(0(1(1(0(0(0(2(0(1(1(1(0(0(z0))))))))))))))))))))), 0'(1(1(1(0(2(2(0(1(1(0(0(0(2(0(1(1(1(0(0(z0)))))))))))))))))))), 1'(1(1(0(2(2(0(1(1(0(0(0(2(0(1(1(1(0(0(z0))))))))))))))))))), 1'(1(0(2(2(0(1(1(0(0(0(2(0(1(1(1(0(0(z0)))))))))))))))))), 1'(0(2(2(0(1(1(0(0(0(2(0(1(1(1(0(0(z0))))))))))))))))), 0'(2(2(0(1(1(0(0(0(2(0(1(1(1(0(0(z0)))))))))))))))), 2'(2(0(1(1(0(0(0(2(0(1(1(1(0(0(z0))))))))))))))), 2'(0(1(1(0(0(0(2(0(1(1(1(0(0(z0)))))))))))))), 0'(1(1(0(0(0(2(0(1(1(1(0(0(z0))))))))))))), 1'(1(0(0(0(2(0(1(1(1(0(0(z0)))))))))))), 1'(0(0(0(2(0(1(1(1(0(0(z0))))))))))), 0'(0(0(2(0(1(1(1(0(0(z0)))))))))), 0'(0(2(0(1(1(1(0(0(z0))))))))), 0'(2(0(1(1(1(0(0(z0)))))))), 2'(0(1(1(1(0(0(z0))))))), 0'(1(1(1(0(0(z0)))))), 1'(1(1(0(0(z0))))), 1'(1(0(0(z0)))), 1'(0(0(z0))), 0'(0(z0)), 0'(z0)) 0'(0(0(0(0(1(0(2(2(2(0(0(2(0(1(0(1(2(1(1(0(1(0(2(0(0(1(0(z0)))))))))))))))))))))))))))) -> c53(1'(0(2(1(2(1(2(1(1(2(1(1(1(1(1(1(1(1(0(2(2(1(2(1(1(1(0(1(0(1(z0)))))))))))))))))))))))))))))), 0'(2(1(2(1(2(1(1(2(1(1(1(1(1(1(1(1(0(2(2(1(2(1(1(1(0(1(0(1(z0))))))))))))))))))))))))))))), 2'(1(2(1(2(1(1(2(1(1(1(1(1(1(1(1(0(2(2(1(2(1(1(1(0(1(0(1(z0)))))))))))))))))))))))))))), 1'(2(1(2(1(1(2(1(1(1(1(1(1(1(1(0(2(2(1(2(1(1(1(0(1(0(1(z0))))))))))))))))))))))))))), 2'(1(2(1(1(2(1(1(1(1(1(1(1(1(0(2(2(1(2(1(1(1(0(1(0(1(z0)))))))))))))))))))))))))), 1'(2(1(1(2(1(1(1(1(1(1(1(1(0(2(2(1(2(1(1(1(0(1(0(1(z0))))))))))))))))))))))))), 2'(1(1(2(1(1(1(1(1(1(1(1(0(2(2(1(2(1(1(1(0(1(0(1(z0)))))))))))))))))))))))), 1'(1(2(1(1(1(1(1(1(1(1(0(2(2(1(2(1(1(1(0(1(0(1(z0))))))))))))))))))))))), 1'(2(1(1(1(1(1(1(1(1(0(2(2(1(2(1(1(1(0(1(0(1(z0)))))))))))))))))))))), 2'(1(1(1(1(1(1(1(1(0(2(2(1(2(1(1(1(0(1(0(1(z0))))))))))))))))))))), 1'(1(1(1(1(1(1(1(0(2(2(1(2(1(1(1(0(1(0(1(z0)))))))))))))))))))), 1'(1(1(1(1(1(1(0(2(2(1(2(1(1(1(0(1(0(1(z0))))))))))))))))))), 1'(1(1(1(1(1(0(2(2(1(2(1(1(1(0(1(0(1(z0)))))))))))))))))), 1'(1(1(1(1(0(2(2(1(2(1(1(1(0(1(0(1(z0))))))))))))))))), 1'(1(1(1(0(2(2(1(2(1(1(1(0(1(0(1(z0)))))))))))))))), 1'(1(1(0(2(2(1(2(1(1(1(0(1(0(1(z0))))))))))))))), 1'(1(0(2(2(1(2(1(1(1(0(1(0(1(z0)))))))))))))), 1'(0(2(2(1(2(1(1(1(0(1(0(1(z0))))))))))))), 0'(2(2(1(2(1(1(1(0(1(0(1(z0)))))))))))), 2'(2(1(2(1(1(1(0(1(0(1(z0))))))))))), 2'(1(2(1(1(1(0(1(0(1(z0)))))))))), 1'(2(1(1(1(0(1(0(1(z0))))))))), 2'(1(1(1(0(1(0(1(z0)))))))), 1'(1(1(0(1(0(1(z0))))))), 1'(1(0(1(0(1(z0)))))), 1'(0(1(0(1(z0))))), 0'(1(0(1(z0)))), 1'(0(1(z0))), 0'(1(z0)), 1'(z0)) 0'(0(1(1(2(2(0(1(1(0(1(2(2(0(2(0(2(1(0(0(1(1(0(1(0(0(0(1(1(z0))))))))))))))))))))))))))))) -> c54(0'(1(2(0(1(1(0(1(1(0(2(1(2(1(1(0(2(1(1(2(2(1(1(2(1(2(2(2(0(2(z0)))))))))))))))))))))))))))))), 1'(2(0(1(1(0(1(1(0(2(1(2(1(1(0(2(1(1(2(2(1(1(2(1(2(2(2(0(2(z0))))))))))))))))))))))))))))), 2'(0(1(1(0(1(1(0(2(1(2(1(1(0(2(1(1(2(2(1(1(2(1(2(2(2(0(2(z0)))))))))))))))))))))))))))), 0'(1(1(0(1(1(0(2(1(2(1(1(0(2(1(1(2(2(1(1(2(1(2(2(2(0(2(z0))))))))))))))))))))))))))), 1'(1(0(1(1(0(2(1(2(1(1(0(2(1(1(2(2(1(1(2(1(2(2(2(0(2(z0)))))))))))))))))))))))))), 1'(0(1(1(0(2(1(2(1(1(0(2(1(1(2(2(1(1(2(1(2(2(2(0(2(z0))))))))))))))))))))))))), 0'(1(1(0(2(1(2(1(1(0(2(1(1(2(2(1(1(2(1(2(2(2(0(2(z0)))))))))))))))))))))))), 1'(1(0(2(1(2(1(1(0(2(1(1(2(2(1(1(2(1(2(2(2(0(2(z0))))))))))))))))))))))), 1'(0(2(1(2(1(1(0(2(1(1(2(2(1(1(2(1(2(2(2(0(2(z0)))))))))))))))))))))), 0'(2(1(2(1(1(0(2(1(1(2(2(1(1(2(1(2(2(2(0(2(z0))))))))))))))))))))), 2'(1(2(1(1(0(2(1(1(2(2(1(1(2(1(2(2(2(0(2(z0)))))))))))))))))))), 1'(2(1(1(0(2(1(1(2(2(1(1(2(1(2(2(2(0(2(z0))))))))))))))))))), 2'(1(1(0(2(1(1(2(2(1(1(2(1(2(2(2(0(2(z0)))))))))))))))))), 1'(1(0(2(1(1(2(2(1(1(2(1(2(2(2(0(2(z0))))))))))))))))), 1'(0(2(1(1(2(2(1(1(2(1(2(2(2(0(2(z0)))))))))))))))), 0'(2(1(1(2(2(1(1(2(1(2(2(2(0(2(z0))))))))))))))), 2'(1(1(2(2(1(1(2(1(2(2(2(0(2(z0)))))))))))))), 1'(1(2(2(1(1(2(1(2(2(2(0(2(z0))))))))))))), 1'(2(2(1(1(2(1(2(2(2(0(2(z0)))))))))))), 2'(2(1(1(2(1(2(2(2(0(2(z0))))))))))), 2'(1(1(2(1(2(2(2(0(2(z0)))))))))), 1'(1(2(1(2(2(2(0(2(z0))))))))), 1'(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)) 0'(2(2(1(0(1(2(0(1(0(1(2(0(1(1(0(1(2(0(0(2(0(1(2(0(1(1(2(1(z0))))))))))))))))))))))))))))) -> c55(0'(1(2(1(2(1(2(2(2(1(1(0(0(1(2(2(2(2(2(2(2(1(0(0(0(1(2(0(0(1(z0)))))))))))))))))))))))))))))), 1'(2(1(2(1(2(2(2(1(1(0(0(1(2(2(2(2(2(2(2(1(0(0(0(1(2(0(0(1(z0))))))))))))))))))))))))))))), 2'(1(2(1(2(2(2(1(1(0(0(1(2(2(2(2(2(2(2(1(0(0(0(1(2(0(0(1(z0)))))))))))))))))))))))))))), 1'(2(1(2(2(2(1(1(0(0(1(2(2(2(2(2(2(2(1(0(0(0(1(2(0(0(1(z0))))))))))))))))))))))))))), 2'(1(2(2(2(1(1(0(0(1(2(2(2(2(2(2(2(1(0(0(0(1(2(0(0(1(z0)))))))))))))))))))))))))), 1'(2(2(2(1(1(0(0(1(2(2(2(2(2(2(2(1(0(0(0(1(2(0(0(1(z0))))))))))))))))))))))))), 2'(2(2(1(1(0(0(1(2(2(2(2(2(2(2(1(0(0(0(1(2(0(0(1(z0)))))))))))))))))))))))), 2'(2(1(1(0(0(1(2(2(2(2(2(2(2(1(0(0(0(1(2(0(0(1(z0))))))))))))))))))))))), 2'(1(1(0(0(1(2(2(2(2(2(2(2(1(0(0(0(1(2(0(0(1(z0)))))))))))))))))))))), 1'(1(0(0(1(2(2(2(2(2(2(2(1(0(0(0(1(2(0(0(1(z0))))))))))))))))))))), 1'(0(0(1(2(2(2(2(2(2(2(1(0(0(0(1(2(0(0(1(z0)))))))))))))))))))), 0'(0(1(2(2(2(2(2(2(2(1(0(0(0(1(2(0(0(1(z0))))))))))))))))))), 0'(1(2(2(2(2(2(2(2(1(0(0(0(1(2(0(0(1(z0)))))))))))))))))), 1'(2(2(2(2(2(2(2(1(0(0(0(1(2(0(0(1(z0))))))))))))))))), 2'(2(2(2(2(2(2(1(0(0(0(1(2(0(0(1(z0)))))))))))))))), 2'(2(2(2(2(2(1(0(0(0(1(2(0(0(1(z0))))))))))))))), 2'(2(2(2(2(1(0(0(0(1(2(0(0(1(z0)))))))))))))), 2'(2(2(2(1(0(0(0(1(2(0(0(1(z0))))))))))))), 2'(2(2(1(0(0(0(1(2(0(0(1(z0)))))))))))), 2'(2(1(0(0(0(1(2(0(0(1(z0))))))))))), 2'(1(0(0(0(1(2(0(0(1(z0)))))))))), 1'(0(0(0(1(2(0(0(1(z0))))))))), 0'(0(0(1(2(0(0(1(z0)))))))), 0'(0(1(2(0(0(1(z0))))))), 0'(1(2(0(0(1(z0)))))), 1'(2(0(0(1(z0))))), 2'(0(0(1(z0)))), 0'(0(1(z0))), 0'(1(z0)), 1'(z0)) 2'(0(z0)) -> c56(1'(1(0(z0))), 1'(0(z0)), 0'(z0)) 2'(0(0(z0))) -> c57(0'(1(2(1(1(z0))))), 1'(2(1(1(z0)))), 2'(1(1(z0))), 1'(1(z0)), 1'(z0)) 2'(2(1(z0))) -> c58(1'(1(0(1(1(z0))))), 1'(0(1(1(z0)))), 0'(1(1(z0))), 1'(1(z0)), 1'(z0)) 2'(1(0(1(2(0(0(z0))))))) -> c59(1'(1(1(0(1(2(2(1(1(z0))))))))), 1'(1(0(1(2(2(1(1(z0)))))))), 1'(0(1(2(2(1(1(z0))))))), 0'(1(2(2(1(1(z0)))))), 1'(2(2(1(1(z0))))), 2'(2(1(1(z0)))), 2'(1(1(z0))), 1'(1(z0)), 1'(z0)) 2'(2(0(0(2(0(0(z0))))))) -> c60(2'(0(1(1(0(0(2(1(1(z0))))))))), 0'(1(1(0(0(2(1(1(z0)))))))), 1'(1(0(0(2(1(1(z0))))))), 1'(0(0(2(1(1(z0)))))), 0'(0(2(1(1(z0))))), 0'(2(1(1(z0)))), 2'(1(1(z0))), 1'(1(z0)), 1'(z0)) 2'(2(0(2(1(0(1(z0))))))) -> c61(0'(1(0(1(2(1(1(2(1(1(z0)))))))))), 1'(0(1(2(1(1(2(1(1(z0))))))))), 0'(1(2(1(1(2(1(1(z0)))))))), 1'(2(1(1(2(1(1(z0))))))), 2'(1(1(2(1(1(z0)))))), 1'(1(2(1(1(z0))))), 1'(2(1(1(z0)))), 2'(1(1(z0))), 1'(1(z0)), 1'(z0)) 2'(0(2(1(1(2(2(0(z0)))))))) -> c62(2'(0(0(2(2(1(2(1(z0)))))))), 0'(0(2(2(1(2(1(z0))))))), 0'(2(2(1(2(1(z0)))))), 2'(2(1(2(1(z0))))), 2'(1(2(1(z0)))), 1'(2(1(z0))), 2'(1(z0)), 1'(z0)) 2'(1(2(0(1(0(2(2(z0)))))))) -> c63(2'(1(0(1(1(1(2(1(0(z0))))))))), 1'(0(1(1(1(2(1(0(z0)))))))), 0'(1(1(1(2(1(0(z0))))))), 1'(1(1(2(1(0(z0)))))), 1'(1(2(1(0(z0))))), 1'(2(1(0(z0)))), 2'(1(0(z0))), 1'(0(z0)), 0'(z0)) 2'(1(0(1(2(1(2(2(2(z0))))))))) -> c64(1'(1(0(1(0(0(1(1(1(1(2(z0))))))))))), 1'(0(1(0(0(1(1(1(1(2(z0)))))))))), 0'(1(0(0(1(1(1(1(2(z0))))))))), 1'(0(0(1(1(1(1(2(z0)))))))), 0'(0(1(1(1(1(2(z0))))))), 0'(1(1(1(1(2(z0)))))), 1'(1(1(1(2(z0))))), 1'(1(1(2(z0)))), 1'(1(2(z0))), 1'(2(z0)), 2'(z0)) 2'(2(0(2(1(0(1(0(1(z0))))))))) -> c65(2'(1(1(1(0(2(0(2(0(z0))))))))), 1'(1(1(0(2(0(2(0(z0)))))))), 1'(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)) 2'(0(1(0(0(1(0(0(2(2(z0)))))))))) -> c66(1'(2(2(1(1(2(2(0(2(0(2(1(1(z0))))))))))))), 2'(2(1(1(2(2(0(2(0(2(1(1(z0)))))))))))), 2'(1(1(2(2(0(2(0(2(1(1(z0))))))))))), 1'(1(2(2(0(2(0(2(1(1(z0)))))))))), 1'(2(2(0(2(0(2(1(1(z0))))))))), 2'(2(0(2(0(2(1(1(z0)))))))), 2'(0(2(0(2(1(1(z0))))))), 0'(2(0(2(1(1(z0)))))), 2'(0(2(1(1(z0))))), 0'(2(1(1(z0)))), 2'(1(1(z0))), 1'(1(z0)), 1'(z0)) 2'(1(0(0(0(0(2(0(0(0(2(0(z0)))))))))))) -> c67(1'(2(1(2(2(0(2(2(1(2(1(1(0(1(1(z0))))))))))))))), 2'(1(2(2(0(2(2(1(2(1(1(0(1(1(z0)))))))))))))), 1'(2(2(0(2(2(1(2(1(1(0(1(1(z0))))))))))))), 2'(2(0(2(2(1(2(1(1(0(1(1(z0)))))))))))), 2'(0(2(2(1(2(1(1(0(1(1(z0))))))))))), 0'(2(2(1(2(1(1(0(1(1(z0)))))))))), 2'(2(1(2(1(1(0(1(1(z0))))))))), 2'(1(2(1(1(0(1(1(z0)))))))), 1'(2(1(1(0(1(1(z0))))))), 2'(1(1(0(1(1(z0)))))), 1'(1(0(1(1(z0))))), 1'(0(1(1(z0)))), 0'(1(1(z0))), 1'(1(z0)), 1'(z0)) 2'(0(2(0(1(2(2(0(2(1(0(0(0(z0))))))))))))) -> c68(1'(1(1(1(2(0(1(0(1(0(2(0(1(1(2(1(z0)))))))))))))))), 1'(1(1(2(0(1(0(1(0(2(0(1(1(2(1(z0))))))))))))))), 1'(1(2(0(1(0(1(0(2(0(1(1(2(1(z0)))))))))))))), 1'(2(0(1(0(1(0(2(0(1(1(2(1(z0))))))))))))), 2'(0(1(0(1(0(2(0(1(1(2(1(z0)))))))))))), 0'(1(0(1(0(2(0(1(1(2(1(z0))))))))))), 1'(0(1(0(2(0(1(1(2(1(z0)))))))))), 0'(1(0(2(0(1(1(2(1(z0))))))))), 1'(0(2(0(1(1(2(1(z0)))))))), 0'(2(0(1(1(2(1(z0))))))), 2'(0(1(1(2(1(z0)))))), 0'(1(1(2(1(z0))))), 1'(1(2(1(z0)))), 1'(2(1(z0))), 2'(1(z0)), 1'(z0)) 2'(2(2(2(0(0(1(2(2(1(1(0(0(z0))))))))))))) -> c69(2'(2(2(0(0(2(0(1(1(0(1(1(1(1(1(z0))))))))))))))), 2'(2(0(0(2(0(1(1(0(1(1(1(1(1(z0)))))))))))))), 2'(0(0(2(0(1(1(0(1(1(1(1(1(z0))))))))))))), 0'(0(2(0(1(1(0(1(1(1(1(1(z0)))))))))))), 0'(2(0(1(1(0(1(1(1(1(1(z0))))))))))), 2'(0(1(1(0(1(1(1(1(1(z0)))))))))), 0'(1(1(0(1(1(1(1(1(z0))))))))), 1'(1(0(1(1(1(1(1(z0)))))))), 1'(0(1(1(1(1(1(z0))))))), 0'(1(1(1(1(1(z0)))))), 1'(1(1(1(1(z0))))), 1'(1(1(1(z0)))), 1'(1(1(z0))), 1'(1(z0)), 1'(z0)) 2'(0(2(0(2(2(0(2(0(1(0(0(0(0(1(2(z0)))))))))))))))) -> c70(1'(1(2(1(0(0(2(1(1(2(1(2(1(1(2(1(2(1(2(2(0(2(z0)))))))))))))))))))))), 1'(2(1(0(0(2(1(1(2(1(2(1(1(2(1(2(1(2(2(0(2(z0))))))))))))))))))))), 2'(1(0(0(2(1(1(2(1(2(1(1(2(1(2(1(2(2(0(2(z0)))))))))))))))))))), 1'(0(0(2(1(1(2(1(2(1(1(2(1(2(1(2(2(0(2(z0))))))))))))))))))), 0'(0(2(1(1(2(1(2(1(1(2(1(2(1(2(2(0(2(z0)))))))))))))))))), 0'(2(1(1(2(1(2(1(1(2(1(2(1(2(2(0(2(z0))))))))))))))))), 2'(1(1(2(1(2(1(1(2(1(2(1(2(2(0(2(z0)))))))))))))))), 1'(1(2(1(2(1(1(2(1(2(1(2(2(0(2(z0))))))))))))))), 1'(2(1(2(1(1(2(1(2(1(2(2(0(2(z0)))))))))))))), 2'(1(2(1(1(2(1(2(1(2(2(0(2(z0))))))))))))), 1'(2(1(1(2(1(2(1(2(2(0(2(z0)))))))))))), 2'(1(1(2(1(2(1(2(2(0(2(z0))))))))))), 1'(1(2(1(2(1(2(2(0(2(z0)))))))))), 1'(2(1(2(1(2(2(0(2(z0))))))))), 2'(1(2(1(2(2(0(2(z0)))))))), 1'(2(1(2(2(0(2(z0))))))), 2'(1(2(2(0(2(z0)))))), 1'(2(2(0(2(z0))))), 2'(2(0(2(z0)))), 2'(0(2(z0))), 0'(2(z0)), 2'(z0)) 2'(0(2(2(2(2(1(2(0(1(0(1(0(2(2(1(z0)))))))))))))))) -> c71(2'(1(2(1(2(2(2(0(0(1(2(2(1(0(0(2(z0)))))))))))))))), 1'(2(1(2(2(2(0(0(1(2(2(1(0(0(2(z0))))))))))))))), 2'(1(2(2(2(0(0(1(2(2(1(0(0(2(z0)))))))))))))), 1'(2(2(2(0(0(1(2(2(1(0(0(2(z0))))))))))))), 2'(2(2(0(0(1(2(2(1(0(0(2(z0)))))))))))), 2'(2(0(0(1(2(2(1(0(0(2(z0))))))))))), 2'(0(0(1(2(2(1(0(0(2(z0)))))))))), 0'(0(1(2(2(1(0(0(2(z0))))))))), 0'(1(2(2(1(0(0(2(z0)))))))), 1'(2(2(1(0(0(2(z0))))))), 2'(2(1(0(0(2(z0)))))), 2'(1(0(0(2(z0))))), 1'(0(0(2(z0)))), 0'(0(2(z0))), 0'(2(z0)), 2'(z0)) 2'(1(2(0(1(2(1(0(0(2(0(0(2(0(0(1(2(z0))))))))))))))))) -> 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0'(1(1(0(2(2(2(1(2(0(0(1(1(2(1(1(1(2(1(2(z0)))))))))))))))))))), 1'(1(0(2(2(2(1(2(0(0(1(1(2(1(1(1(2(1(2(z0))))))))))))))))))), 1'(0(2(2(2(1(2(0(0(1(1(2(1(1(1(2(1(2(z0)))))))))))))))))), 0'(2(2(2(1(2(0(0(1(1(2(1(1(1(2(1(2(z0))))))))))))))))), 2'(2(2(1(2(0(0(1(1(2(1(1(1(2(1(2(z0)))))))))))))))), 2'(2(1(2(0(0(1(1(2(1(1(1(2(1(2(z0))))))))))))))), 2'(1(2(0(0(1(1(2(1(1(1(2(1(2(z0)))))))))))))), 1'(2(0(0(1(1(2(1(1(1(2(1(2(z0))))))))))))), 2'(0(0(1(1(2(1(1(1(2(1(2(z0)))))))))))), 0'(0(1(1(2(1(1(1(2(1(2(z0))))))))))), 0'(1(1(2(1(1(1(2(1(2(z0)))))))))), 1'(1(2(1(1(1(2(1(2(z0))))))))), 1'(2(1(1(1(2(1(2(z0)))))))), 2'(1(1(1(2(1(2(z0))))))), 1'(1(1(2(1(2(z0)))))), 1'(1(2(1(2(z0))))), 1'(2(1(2(z0)))), 2'(1(2(z0))), 1'(2(z0)), 2'(z0)) 2'(0(0(2(2(2(1(1(2(2(0(2(1(0(0(0(2(2(1(0(1(z0))))))))))))))))))))) -> c74(2'(1(1(2(1(1(1(0(1(2(2(1(2(0(0(0(2(0(0(1(2(0(z0)))))))))))))))))))))), 1'(1(2(1(1(1(0(1(2(2(1(2(0(0(0(2(0(0(1(2(0(z0))))))))))))))))))))), 1'(2(1(1(1(0(1(2(2(1(2(0(0(0(2(0(0(1(2(0(z0)))))))))))))))))))), 2'(1(1(1(0(1(2(2(1(2(0(0(0(2(0(0(1(2(0(z0))))))))))))))))))), 1'(1(1(0(1(2(2(1(2(0(0(0(2(0(0(1(2(0(z0)))))))))))))))))), 1'(1(0(1(2(2(1(2(0(0(0(2(0(0(1(2(0(z0))))))))))))))))), 1'(0(1(2(2(1(2(0(0(0(2(0(0(1(2(0(z0)))))))))))))))), 0'(1(2(2(1(2(0(0(0(2(0(0(1(2(0(z0))))))))))))))), 1'(2(2(1(2(0(0(0(2(0(0(1(2(0(z0)))))))))))))), 2'(2(1(2(0(0(0(2(0(0(1(2(0(z0))))))))))))), 2'(1(2(0(0(0(2(0(0(1(2(0(z0)))))))))))), 1'(2(0(0(0(2(0(0(1(2(0(z0))))))))))), 2'(0(0(0(2(0(0(1(2(0(z0)))))))))), 0'(0(0(2(0(0(1(2(0(z0))))))))), 0'(0(2(0(0(1(2(0(z0)))))))), 0'(2(0(0(1(2(0(z0))))))), 2'(0(0(1(2(0(z0)))))), 0'(0(1(2(0(z0))))), 0'(1(2(0(z0)))), 1'(2(0(z0))), 2'(0(z0)), 0'(z0)) 2'(0(2(2(2(0(0(1(2(2(1(1(2(0(0(0(2(0(0(0(2(z0))))))))))))))))))))) -> c75(1'(1(1(0(1(2(2(1(2(2(2(1(1(1(1(1(1(1(0(2(1(0(1(0(z0)))))))))))))))))))))))), 1'(1(0(1(2(2(1(2(2(2(1(1(1(1(1(1(1(0(2(1(0(1(0(z0))))))))))))))))))))))), 1'(0(1(2(2(1(2(2(2(1(1(1(1(1(1(1(0(2(1(0(1(0(z0)))))))))))))))))))))), 0'(1(2(2(1(2(2(2(1(1(1(1(1(1(1(0(2(1(0(1(0(z0))))))))))))))))))))), 1'(2(2(1(2(2(2(1(1(1(1(1(1(1(0(2(1(0(1(0(z0)))))))))))))))))))), 2'(2(1(2(2(2(1(1(1(1(1(1(1(0(2(1(0(1(0(z0))))))))))))))))))), 2'(1(2(2(2(1(1(1(1(1(1(1(0(2(1(0(1(0(z0)))))))))))))))))), 1'(2(2(2(1(1(1(1(1(1(1(0(2(1(0(1(0(z0))))))))))))))))), 2'(2(2(1(1(1(1(1(1(1(0(2(1(0(1(0(z0)))))))))))))))), 2'(2(1(1(1(1(1(1(1(0(2(1(0(1(0(z0))))))))))))))), 2'(1(1(1(1(1(1(1(0(2(1(0(1(0(z0)))))))))))))), 1'(1(1(1(1(1(1(0(2(1(0(1(0(z0))))))))))))), 1'(1(1(1(1(1(0(2(1(0(1(0(z0)))))))))))), 1'(1(1(1(1(0(2(1(0(1(0(z0))))))))))), 1'(1(1(1(0(2(1(0(1(0(z0)))))))))), 1'(1(1(0(2(1(0(1(0(z0))))))))), 1'(1(0(2(1(0(1(0(z0)))))))), 1'(0(2(1(0(1(0(z0))))))), 0'(2(1(0(1(0(z0)))))), 2'(1(0(1(0(z0))))), 1'(0(1(0(z0)))), 0'(1(0(z0))), 1'(0(z0)), 0'(z0)) 2'(1(2(1(1(2(0(0(1(1(0(1(1(2(1(1(1(1(0(1(2(z0))))))))))))))))))))) -> 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1'(1(1(0(1(2(1(0(1(2(1(1(1(2(1(0(2(0(1(2(1(0(0(1(1(2(1(z0))))))))))))))))))))))))))), 1'(1(0(1(2(1(0(1(2(1(1(1(2(1(0(2(0(1(2(1(0(0(1(1(2(1(z0)))))))))))))))))))))))))), 1'(0(1(2(1(0(1(2(1(1(1(2(1(0(2(0(1(2(1(0(0(1(1(2(1(z0))))))))))))))))))))))))), 0'(1(2(1(0(1(2(1(1(1(2(1(0(2(0(1(2(1(0(0(1(1(2(1(z0)))))))))))))))))))))))), 1'(2(1(0(1(2(1(1(1(2(1(0(2(0(1(2(1(0(0(1(1(2(1(z0))))))))))))))))))))))), 2'(1(0(1(2(1(1(1(2(1(0(2(0(1(2(1(0(0(1(1(2(1(z0)))))))))))))))))))))), 1'(0(1(2(1(1(1(2(1(0(2(0(1(2(1(0(0(1(1(2(1(z0))))))))))))))))))))), 0'(1(2(1(1(1(2(1(0(2(0(1(2(1(0(0(1(1(2(1(z0)))))))))))))))))))), 1'(2(1(1(1(2(1(0(2(0(1(2(1(0(0(1(1(2(1(z0))))))))))))))))))), 2'(1(1(1(2(1(0(2(0(1(2(1(0(0(1(1(2(1(z0)))))))))))))))))), 1'(1(1(2(1(0(2(0(1(2(1(0(0(1(1(2(1(z0))))))))))))))))), 1'(1(2(1(0(2(0(1(2(1(0(0(1(1(2(1(z0)))))))))))))))), 1'(2(1(0(2(0(1(2(1(0(0(1(1(2(1(z0))))))))))))))), 2'(1(0(2(0(1(2(1(0(0(1(1(2(1(z0)))))))))))))), 1'(0(2(0(1(2(1(0(0(1(1(2(1(z0))))))))))))), 0'(2(0(1(2(1(0(0(1(1(2(1(z0)))))))))))), 2'(0(1(2(1(0(0(1(1(2(1(z0))))))))))), 0'(1(2(1(0(0(1(1(2(1(z0)))))))))), 1'(2(1(0(0(1(1(2(1(z0))))))))), 2'(1(0(0(1(1(2(1(z0)))))))), 1'(0(0(1(1(2(1(z0))))))), 0'(0(1(1(2(1(z0)))))), 0'(1(1(2(1(z0))))), 1'(1(2(1(z0)))), 1'(2(1(z0))), 2'(1(z0)), 1'(z0)) 1'(1(2(2(0(1(0(1(1(z0))))))))) -> c94(1'(1(1(0(1(1(0(1(1(1(1(z0))))))))))), 1'(1(0(1(1(0(1(1(1(1(z0)))))))))), 1'(0(1(1(0(1(1(1(1(z0))))))))), 0'(1(1(0(1(1(1(1(z0)))))))), 1'(1(0(1(1(1(1(z0))))))), 1'(0(1(1(1(1(z0)))))), 0'(1(1(1(1(z0))))), 1'(1(1(1(z0)))), 1'(1(1(z0))), 1'(1(z0)), 1'(z0)) 1'(0(1(1(0(2(2(0(2(0(z0)))))))))) -> c95(1'(1(0(2(2(1(0(2(0(0(z0)))))))))), 1'(0(2(2(1(0(2(0(0(z0))))))))), 0'(2(2(1(0(2(0(0(z0)))))))), 2'(2(1(0(2(0(0(z0))))))), 2'(1(0(2(0(0(z0)))))), 1'(0(2(0(0(z0))))), 0'(2(0(0(z0)))), 2'(0(0(z0))), 0'(0(z0)), 0'(z0)) 1'(0(1(2(2(0(0(2(2(1(z0)))))))))) -> c96(1'(0(1(2(0(1(0(1(1(1(1(2(z0)))))))))))), 0'(1(2(0(1(0(1(1(1(1(2(z0))))))))))), 1'(2(0(1(0(1(1(1(1(2(z0)))))))))), 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0'(0(0(0(2(z0))))), 0'(0(0(2(z0)))), 0'(0(2(z0))), 0'(2(z0)), 2'(z0)) 1'(0(1(2(0(1(1(0(2(1(0(2(0(1(0(z0))))))))))))))) -> c99(1'(0(0(1(1(1(2(1(0(2(0(1(0(1(1(1(0(z0))))))))))))))))), 0'(0(1(1(1(2(1(0(2(0(1(0(1(1(1(0(z0)))))))))))))))), 0'(1(1(1(2(1(0(2(0(1(0(1(1(1(0(z0))))))))))))))), 1'(1(1(2(1(0(2(0(1(0(1(1(1(0(z0)))))))))))))), 1'(1(2(1(0(2(0(1(0(1(1(1(0(z0))))))))))))), 1'(2(1(0(2(0(1(0(1(1(1(0(z0)))))))))))), 2'(1(0(2(0(1(0(1(1(1(0(z0))))))))))), 1'(0(2(0(1(0(1(1(1(0(z0)))))))))), 0'(2(0(1(0(1(1(1(0(z0))))))))), 2'(0(1(0(1(1(1(0(z0)))))))), 0'(1(0(1(1(1(0(z0))))))), 1'(0(1(1(1(0(z0)))))), 0'(1(1(1(0(z0))))), 1'(1(1(0(z0)))), 1'(1(0(z0))), 1'(0(z0)), 0'(z0)) 1'(1(0(1(0(2(1(0(2(0(1(2(2(2(2(1(1(z0))))))))))))))))) -> c100(1'(1(2(2(1(1(0(0(2(0(0(1(1(0(2(2(1(1(z0)))))))))))))))))), 1'(2(2(1(1(0(0(2(0(0(1(1(0(2(2(1(1(z0))))))))))))))))), 2'(2(1(1(0(0(2(0(0(1(1(0(2(2(1(1(z0)))))))))))))))), 2'(1(1(0(0(2(0(0(1(1(0(2(2(1(1(z0))))))))))))))), 1'(1(0(0(2(0(0(1(1(0(2(2(1(1(z0)))))))))))))), 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1'(1(2(2(0(2(1(2(0(2(0(0(0(1(2(1(2(1(2(0(2(1(z0)))))))))))))))))))))), 1'(2(2(0(2(1(2(0(2(0(0(0(1(2(1(2(1(2(0(2(1(z0))))))))))))))))))))), 2'(2(0(2(1(2(0(2(0(0(0(1(2(1(2(1(2(0(2(1(z0)))))))))))))))))))), 2'(0(2(1(2(0(2(0(0(0(1(2(1(2(1(2(0(2(1(z0))))))))))))))))))), 0'(2(1(2(0(2(0(0(0(1(2(1(2(1(2(0(2(1(z0)))))))))))))))))), 2'(1(2(0(2(0(0(0(1(2(1(2(1(2(0(2(1(z0))))))))))))))))), 1'(2(0(2(0(0(0(1(2(1(2(1(2(0(2(1(z0)))))))))))))))), 2'(0(2(0(0(0(1(2(1(2(1(2(0(2(1(z0))))))))))))))), 0'(2(0(0(0(1(2(1(2(1(2(0(2(1(z0)))))))))))))), 2'(0(0(0(1(2(1(2(1(2(0(2(1(z0))))))))))))), 0'(0(0(1(2(1(2(1(2(0(2(1(z0)))))))))))), 0'(0(1(2(1(2(1(2(0(2(1(z0))))))))))), 0'(1(2(1(2(1(2(0(2(1(z0)))))))))), 1'(2(1(2(1(2(0(2(1(z0))))))))), 2'(1(2(1(2(0(2(1(z0)))))))), 1'(2(1(2(0(2(1(z0))))))), 2'(1(2(0(2(1(z0)))))), 1'(2(0(2(1(z0))))), 2'(0(2(1(z0)))), 0'(2(1(z0))), 2'(1(z0)), 1'(z0)) 1'(2(0(2(1(2(0(0(0(0(0(0(2(2(1(0(2(2(0(2(1(0(0(1(z0)))))))))))))))))))))))) -> c110(1'(0(1(0(0(2(2(1(1(2(0(2(2(0(0(2(0(1(0(1(1(1(1(2(2(2(1(z0))))))))))))))))))))))))))), 0'(1(0(0(2(2(1(1(2(0(2(2(0(0(2(0(1(0(1(1(1(1(2(2(2(1(z0)))))))))))))))))))))))))), 1'(0(0(2(2(1(1(2(0(2(2(0(0(2(0(1(0(1(1(1(1(2(2(2(1(z0))))))))))))))))))))))))), 0'(0(2(2(1(1(2(0(2(2(0(0(2(0(1(0(1(1(1(1(2(2(2(1(z0)))))))))))))))))))))))), 0'(2(2(1(1(2(0(2(2(0(0(2(0(1(0(1(1(1(1(2(2(2(1(z0))))))))))))))))))))))), 2'(2(1(1(2(0(2(2(0(0(2(0(1(0(1(1(1(1(2(2(2(1(z0)))))))))))))))))))))), 2'(1(1(2(0(2(2(0(0(2(0(1(0(1(1(1(1(2(2(2(1(z0))))))))))))))))))))), 1'(1(2(0(2(2(0(0(2(0(1(0(1(1(1(1(2(2(2(1(z0)))))))))))))))))))), 1'(2(0(2(2(0(0(2(0(1(0(1(1(1(1(2(2(2(1(z0))))))))))))))))))), 2'(0(2(2(0(0(2(0(1(0(1(1(1(1(2(2(2(1(z0)))))))))))))))))), 0'(2(2(0(0(2(0(1(0(1(1(1(1(2(2(2(1(z0))))))))))))))))), 2'(2(0(0(2(0(1(0(1(1(1(1(2(2(2(1(z0)))))))))))))))), 2'(0(0(2(0(1(0(1(1(1(1(2(2(2(1(z0))))))))))))))), 0'(0(2(0(1(0(1(1(1(1(2(2(2(1(z0)))))))))))))), 0'(2(0(1(0(1(1(1(1(2(2(2(1(z0))))))))))))), 2'(0(1(0(1(1(1(1(2(2(2(1(z0)))))))))))), 0'(1(0(1(1(1(1(2(2(2(1(z0))))))))))), 1'(0(1(1(1(1(2(2(2(1(z0)))))))))), 0'(1(1(1(1(2(2(2(1(z0))))))))), 1'(1(1(1(2(2(2(1(z0)))))))), 1'(1(1(2(2(2(1(z0))))))), 1'(1(2(2(2(1(z0)))))), 1'(2(2(2(1(z0))))), 2'(2(2(1(z0)))), 2'(2(1(z0))), 2'(1(z0)), 1'(z0)) 1'(2(2(1(2(0(1(2(0(1(2(1(0(0(0(2(2(2(0(2(2(0(2(1(z0)))))))))))))))))))))))) -> c111(2'(1(0(2(0(2(1(1(1(1(2(0(0(1(0(2(1(0(2(0(2(0(1(1(2(z0))))))))))))))))))))))))), 1'(0(2(0(2(1(1(1(1(2(0(0(1(0(2(1(0(2(0(2(0(1(1(2(z0)))))))))))))))))))))))), 0'(2(0(2(1(1(1(1(2(0(0(1(0(2(1(0(2(0(2(0(1(1(2(z0))))))))))))))))))))))), 2'(0(2(1(1(1(1(2(0(0(1(0(2(1(0(2(0(2(0(1(1(2(z0)))))))))))))))))))))), 0'(2(1(1(1(1(2(0(0(1(0(2(1(0(2(0(2(0(1(1(2(z0))))))))))))))))))))), 2'(1(1(1(1(2(0(0(1(0(2(1(0(2(0(2(0(1(1(2(z0)))))))))))))))))))), 1'(1(1(1(2(0(0(1(0(2(1(0(2(0(2(0(1(1(2(z0))))))))))))))))))), 1'(1(1(2(0(0(1(0(2(1(0(2(0(2(0(1(1(2(z0)))))))))))))))))), 1'(1(2(0(0(1(0(2(1(0(2(0(2(0(1(1(2(z0))))))))))))))))), 1'(2(0(0(1(0(2(1(0(2(0(2(0(1(1(2(z0)))))))))))))))), 2'(0(0(1(0(2(1(0(2(0(2(0(1(1(2(z0))))))))))))))), 0'(0(1(0(2(1(0(2(0(2(0(1(1(2(z0)))))))))))))), 0'(1(0(2(1(0(2(0(2(0(1(1(2(z0))))))))))))), 1'(0(2(1(0(2(0(2(0(1(1(2(z0)))))))))))), 0'(2(1(0(2(0(2(0(1(1(2(z0))))))))))), 2'(1(0(2(0(2(0(1(1(2(z0)))))))))), 1'(0(2(0(2(0(1(1(2(z0))))))))), 0'(2(0(2(0(1(1(2(z0)))))))), 2'(0(2(0(1(1(2(z0))))))), 0'(2(0(1(1(2(z0)))))), 2'(0(1(1(2(z0))))), 0'(1(1(2(z0)))), 1'(1(2(z0))), 1'(2(z0)), 2'(z0)) 1'(0(1(0(0(0(2(0(1(2(0(2(0(2(0(1(0(2(2(0(0(1(0(1(1(z0))))))))))))))))))))))))) -> c112(1'(2(0(0(2(0(1(0(1(0(2(2(1(1(0(0(0(1(2(1(1(1(1(0(2(1(z0)))))))))))))))))))))))))), 2'(0(0(2(0(1(0(1(0(2(2(1(1(0(0(0(1(2(1(1(1(1(0(2(1(z0))))))))))))))))))))))))), 0'(0(2(0(1(0(1(0(2(2(1(1(0(0(0(1(2(1(1(1(1(0(2(1(z0)))))))))))))))))))))))), 0'(2(0(1(0(1(0(2(2(1(1(0(0(0(1(2(1(1(1(1(0(2(1(z0))))))))))))))))))))))), 2'(0(1(0(1(0(2(2(1(1(0(0(0(1(2(1(1(1(1(0(2(1(z0)))))))))))))))))))))), 0'(1(0(1(0(2(2(1(1(0(0(0(1(2(1(1(1(1(0(2(1(z0))))))))))))))))))))), 1'(0(1(0(2(2(1(1(0(0(0(1(2(1(1(1(1(0(2(1(z0)))))))))))))))))))), 0'(1(0(2(2(1(1(0(0(0(1(2(1(1(1(1(0(2(1(z0))))))))))))))))))), 1'(0(2(2(1(1(0(0(0(1(2(1(1(1(1(0(2(1(z0)))))))))))))))))), 0'(2(2(1(1(0(0(0(1(2(1(1(1(1(0(2(1(z0))))))))))))))))), 2'(2(1(1(0(0(0(1(2(1(1(1(1(0(2(1(z0)))))))))))))))), 2'(1(1(0(0(0(1(2(1(1(1(1(0(2(1(z0))))))))))))))), 1'(1(0(0(0(1(2(1(1(1(1(0(2(1(z0)))))))))))))), 1'(0(0(0(1(2(1(1(1(1(0(2(1(z0))))))))))))), 0'(0(0(1(2(1(1(1(1(0(2(1(z0)))))))))))), 0'(0(1(2(1(1(1(1(0(2(1(z0))))))))))), 0'(1(2(1(1(1(1(0(2(1(z0)))))))))), 1'(2(1(1(1(1(0(2(1(z0))))))))), 2'(1(1(1(1(0(2(1(z0)))))))), 1'(1(1(1(0(2(1(z0))))))), 1'(1(1(0(2(1(z0)))))), 1'(1(0(2(1(z0))))), 1'(0(2(1(z0)))), 0'(2(1(z0))), 2'(1(z0)), 1'(z0)) 1'(1(0(2(0(1(2(1(0(0(1(0(0(2(1(0(2(0(1(0(0(0(1(0(1(z0))))))))))))))))))))))))) -> c113(2'(1(0(2(0(0(1(1(2(2(1(2(0(2(2(1(2(1(2(2(1(0(2(1(2(1(z0)))))))))))))))))))))))))), 1'(0(2(0(0(1(1(2(2(1(2(0(2(2(1(2(1(2(2(1(0(2(1(2(1(z0))))))))))))))))))))))))), 0'(2(0(0(1(1(2(2(1(2(0(2(2(1(2(1(2(2(1(0(2(1(2(1(z0)))))))))))))))))))))))), 2'(0(0(1(1(2(2(1(2(0(2(2(1(2(1(2(2(1(0(2(1(2(1(z0))))))))))))))))))))))), 0'(0(1(1(2(2(1(2(0(2(2(1(2(1(2(2(1(0(2(1(2(1(z0)))))))))))))))))))))), 0'(1(1(2(2(1(2(0(2(2(1(2(1(2(2(1(0(2(1(2(1(z0))))))))))))))))))))), 1'(1(2(2(1(2(0(2(2(1(2(1(2(2(1(0(2(1(2(1(z0)))))))))))))))))))), 1'(2(2(1(2(0(2(2(1(2(1(2(2(1(0(2(1(2(1(z0))))))))))))))))))), 2'(2(1(2(0(2(2(1(2(1(2(2(1(0(2(1(2(1(z0)))))))))))))))))), 2'(1(2(0(2(2(1(2(1(2(2(1(0(2(1(2(1(z0))))))))))))))))), 1'(2(0(2(2(1(2(1(2(2(1(0(2(1(2(1(z0)))))))))))))))), 2'(0(2(2(1(2(1(2(2(1(0(2(1(2(1(z0))))))))))))))), 0'(2(2(1(2(1(2(2(1(0(2(1(2(1(z0)))))))))))))), 2'(2(1(2(1(2(2(1(0(2(1(2(1(z0))))))))))))), 2'(1(2(1(2(2(1(0(2(1(2(1(z0)))))))))))), 1'(2(1(2(2(1(0(2(1(2(1(z0))))))))))), 2'(1(2(2(1(0(2(1(2(1(z0)))))))))), 1'(2(2(1(0(2(1(2(1(z0))))))))), 2'(2(1(0(2(1(2(1(z0)))))))), 2'(1(0(2(1(2(1(z0))))))), 1'(0(2(1(2(1(z0)))))), 0'(2(1(2(1(z0))))), 2'(1(2(1(z0)))), 1'(2(1(z0))), 2'(1(z0)), 1'(z0)) 1'(0(1(1(1(2(2(1(0(1(0(2(1(1(0(2(1(0(1(2(1(0(2(2(1(0(0(z0))))))))))))))))))))))))))) -> c114(2'(2(2(2(1(2(1(1(1(2(2(2(1(2(2(2(1(1(0(1(1(2(1(0(2(2(1(1(z0)))))))))))))))))))))))))))), 2'(2(2(1(2(1(1(1(2(2(2(1(2(2(2(1(1(0(1(1(2(1(0(2(2(1(1(z0))))))))))))))))))))))))))), 2'(2(1(2(1(1(1(2(2(2(1(2(2(2(1(1(0(1(1(2(1(0(2(2(1(1(z0)))))))))))))))))))))))))), 2'(1(2(1(1(1(2(2(2(1(2(2(2(1(1(0(1(1(2(1(0(2(2(1(1(z0))))))))))))))))))))))))), 1'(2(1(1(1(2(2(2(1(2(2(2(1(1(0(1(1(2(1(0(2(2(1(1(z0)))))))))))))))))))))))), 2'(1(1(1(2(2(2(1(2(2(2(1(1(0(1(1(2(1(0(2(2(1(1(z0))))))))))))))))))))))), 1'(1(1(2(2(2(1(2(2(2(1(1(0(1(1(2(1(0(2(2(1(1(z0)))))))))))))))))))))), 1'(1(2(2(2(1(2(2(2(1(1(0(1(1(2(1(0(2(2(1(1(z0))))))))))))))))))))), 1'(2(2(2(1(2(2(2(1(1(0(1(1(2(1(0(2(2(1(1(z0)))))))))))))))))))), 2'(2(2(1(2(2(2(1(1(0(1(1(2(1(0(2(2(1(1(z0))))))))))))))))))), 2'(2(1(2(2(2(1(1(0(1(1(2(1(0(2(2(1(1(z0)))))))))))))))))), 2'(1(2(2(2(1(1(0(1(1(2(1(0(2(2(1(1(z0))))))))))))))))), 1'(2(2(2(1(1(0(1(1(2(1(0(2(2(1(1(z0)))))))))))))))), 2'(2(2(1(1(0(1(1(2(1(0(2(2(1(1(z0))))))))))))))), 2'(2(1(1(0(1(1(2(1(0(2(2(1(1(z0)))))))))))))), 2'(1(1(0(1(1(2(1(0(2(2(1(1(z0))))))))))))), 1'(1(0(1(1(2(1(0(2(2(1(1(z0)))))))))))), 1'(0(1(1(2(1(0(2(2(1(1(z0))))))))))), 0'(1(1(2(1(0(2(2(1(1(z0)))))))))), 1'(1(2(1(0(2(2(1(1(z0))))))))), 1'(2(1(0(2(2(1(1(z0)))))))), 2'(1(0(2(2(1(1(z0))))))), 1'(0(2(2(1(1(z0)))))), 0'(2(2(1(1(z0))))), 2'(2(1(1(z0)))), 2'(1(1(z0))), 1'(1(z0)), 1'(z0)) 1'(2(2(1(1(2(2(1(1(2(1(2(2(0(0(1(2(1(0(1(1(0(1(0(0(2(2(0(z0)))))))))))))))))))))))))))) -> c115(1'(2(1(2(1(0(1(2(2(2(1(2(0(0(0(2(1(0(0(1(1(1(0(0(1(1(1(1(1(0(z0)))))))))))))))))))))))))))))), 2'(1(2(1(0(1(2(2(2(1(2(0(0(0(2(1(0(0(1(1(1(0(0(1(1(1(1(1(0(z0))))))))))))))))))))))))))))), 1'(2(1(0(1(2(2(2(1(2(0(0(0(2(1(0(0(1(1(1(0(0(1(1(1(1(1(0(z0)))))))))))))))))))))))))))), 2'(1(0(1(2(2(2(1(2(0(0(0(2(1(0(0(1(1(1(0(0(1(1(1(1(1(0(z0))))))))))))))))))))))))))), 1'(0(1(2(2(2(1(2(0(0(0(2(1(0(0(1(1(1(0(0(1(1(1(1(1(0(z0)))))))))))))))))))))))))), 0'(1(2(2(2(1(2(0(0(0(2(1(0(0(1(1(1(0(0(1(1(1(1(1(0(z0))))))))))))))))))))))))), 1'(2(2(2(1(2(0(0(0(2(1(0(0(1(1(1(0(0(1(1(1(1(1(0(z0)))))))))))))))))))))))), 2'(2(2(1(2(0(0(0(2(1(0(0(1(1(1(0(0(1(1(1(1(1(0(z0))))))))))))))))))))))), 2'(2(1(2(0(0(0(2(1(0(0(1(1(1(0(0(1(1(1(1(1(0(z0)))))))))))))))))))))), 2'(1(2(0(0(0(2(1(0(0(1(1(1(0(0(1(1(1(1(1(0(z0))))))))))))))))))))), 1'(2(0(0(0(2(1(0(0(1(1(1(0(0(1(1(1(1(1(0(z0)))))))))))))))))))), 2'(0(0(0(2(1(0(0(1(1(1(0(0(1(1(1(1(1(0(z0))))))))))))))))))), 0'(0(0(2(1(0(0(1(1(1(0(0(1(1(1(1(1(0(z0)))))))))))))))))), 0'(0(2(1(0(0(1(1(1(0(0(1(1(1(1(1(0(z0))))))))))))))))), 0'(2(1(0(0(1(1(1(0(0(1(1(1(1(1(0(z0)))))))))))))))), 2'(1(0(0(1(1(1(0(0(1(1(1(1(1(0(z0))))))))))))))), 1'(0(0(1(1(1(0(0(1(1(1(1(1(0(z0)))))))))))))), 0'(0(1(1(1(0(0(1(1(1(1(1(0(z0))))))))))))), 0'(1(1(1(0(0(1(1(1(1(1(0(z0)))))))))))), 1'(1(1(0(0(1(1(1(1(1(0(z0))))))))))), 1'(1(0(0(1(1(1(1(1(0(z0)))))))))), 1'(0(0(1(1(1(1(1(0(z0))))))))), 0'(0(1(1(1(1(1(0(z0)))))))), 0'(1(1(1(1(1(0(z0))))))), 1'(1(1(1(1(0(z0)))))), 1'(1(1(1(0(z0))))), 1'(1(1(0(z0)))), 1'(1(0(z0))), 1'(0(z0)), 0'(z0)) K tuples:none Defined Rule Symbols: 0_1, 2_1, 1_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, 2'_1, 1'_1 Compound Symbols: c_2, c1_2, c2_2, c3_2, c4_2, c5_2, c6_2, c7_3, c8_10, c9_9, c10_7, c11_11, c12_10, c13_10, c14_15, c15_13, c16_12, c17_13, c18_12, c19_12, c20_14, c21_16, c22_13, c23_14, c24_14, c25_13, c26_13, c27_16, c28_15, c29_16, c30_20, c31_17, c32_18, c33_18, c34_19, c35_20, c36_26, c37_20, c38_23, c39_20, c40_23, c41_26, c42_24, c43_23, c44_26, c45_26, c46_27, c47_26, c48_29, c49_27, c50_29, c51_27, c52_28, c53_30, c54_30, c55_30, c56_3, c57_5, c58_5, c59_9, c60_9, c61_10, c62_8, c63_9, c64_11, c65_9, c66_13, c67_15, c68_16, c69_15, c70_22, c71_16, c72_19, c73_23, c74_22, c75_24, c76_21, c77_23, c78_22, c79_25, c80_23, c81_25, c82_25, c83_29, c84_25, c85_28, c86_29, c87_27, c88_29, c89_28, c90_27, c91_30, c92_30, c93_29, c94_11, c95_10, c96_12, c97_12, c98_16, c99_17, c100_18, c101_23, c102_24, c103_24, c104_23, c105_23, c106_22, c107_23, c108_22, c109_23, c110_27, c111_25, c112_26, c113_26, c114_28, c115_30 ---------------------------------------- (7) CdtLeafRemovalProof (ComplexityIfPolyImplication) Removed 108 leading nodes: 0'(2(0(0(z0)))) -> c8(0'(2(1(1(1(1(1(1(1(1(z0)))))))))), 2'(1(1(1(1(1(1(1(1(z0))))))))), 1'(1(1(1(1(1(1(1(z0)))))))), 1'(1(1(1(1(1(1(z0))))))), 1'(1(1(1(1(1(z0)))))), 1'(1(1(1(1(z0))))), 1'(1(1(1(z0)))), 1'(1(1(z0))), 1'(1(z0)), 1'(z0)) 0'(2(0(2(0(0(z0)))))) -> c10(0'(1(2(2(1(2(0(z0))))))), 1'(2(2(1(2(0(z0)))))), 2'(2(1(2(0(z0))))), 2'(1(2(0(z0)))), 1'(2(0(z0))), 2'(0(z0)), 0'(z0)) 0'(0(0(0(2(0(1(2(z0)))))))) -> c11(1'(1(1(2(1(1(1(0(0(0(2(z0))))))))))), 1'(1(2(1(1(1(0(0(0(2(z0)))))))))), 1'(2(1(1(1(0(0(0(2(z0))))))))), 2'(1(1(1(0(0(0(2(z0)))))))), 1'(1(1(0(0(0(2(z0))))))), 1'(1(0(0(0(2(z0)))))), 1'(0(0(0(2(z0))))), 0'(0(0(2(z0)))), 0'(0(2(z0))), 0'(2(z0)), 2'(z0)) 0'(0(2(1(0(2(2(1(z0)))))))) -> c12(1'(1(0(1(0(2(1(1(1(0(z0)))))))))), 1'(0(1(0(2(1(1(1(0(z0))))))))), 0'(1(0(2(1(1(1(0(z0)))))))), 1'(0(2(1(1(1(0(z0))))))), 0'(2(1(1(1(0(z0)))))), 2'(1(1(1(0(z0))))), 1'(1(1(0(z0)))), 1'(1(0(z0))), 1'(0(z0)), 0'(z0)) 0'(2(0(1(2(0(1(1(2(z0))))))))) -> c13(1'(2(2(1(1(1(2(2(1(0(z0)))))))))), 2'(2(1(1(1(2(2(1(0(z0))))))))), 2'(1(1(1(2(2(1(0(z0)))))))), 1'(1(1(2(2(1(0(z0))))))), 1'(1(2(2(1(0(z0)))))), 1'(2(2(1(0(z0))))), 2'(2(1(0(z0)))), 2'(1(0(z0))), 1'(0(z0)), 0'(z0)) 0'(1(1(0(0(2(0(1(2(2(z0)))))))))) -> c15(1'(1(2(1(1(2(1(1(0(0(0(2(1(z0))))))))))))), 1'(2(1(1(2(1(1(0(0(0(2(1(z0)))))))))))), 2'(1(1(2(1(1(0(0(0(2(1(z0))))))))))), 1'(1(2(1(1(0(0(0(2(1(z0)))))))))), 1'(2(1(1(0(0(0(2(1(z0))))))))), 2'(1(1(0(0(0(2(1(z0)))))))), 1'(1(0(0(0(2(1(z0))))))), 1'(0(0(0(2(1(z0)))))), 0'(0(0(2(1(z0))))), 0'(0(2(1(z0)))), 0'(2(1(z0))), 2'(1(z0)), 1'(z0)) 0'(0(2(0(2(2(2(2(2(2(0(z0))))))))))) -> c18(0'(2(0(1(0(0(1(1(1(1(2(1(z0)))))))))))), 2'(0(1(0(0(1(1(1(1(2(1(z0))))))))))), 0'(1(0(0(1(1(1(1(2(1(z0)))))))))), 1'(0(0(1(1(1(1(2(1(z0))))))))), 0'(0(1(1(1(1(2(1(z0)))))))), 0'(1(1(1(1(2(1(z0))))))), 1'(1(1(1(2(1(z0)))))), 1'(1(1(2(1(z0))))), 1'(1(2(1(z0)))), 1'(2(1(z0))), 2'(1(z0)), 1'(z0)) 0'(1(2(0(2(1(0(0(0(0(1(z0))))))))))) -> c19(2'(2(1(2(0(1(2(1(2(0(1(2(z0)))))))))))), 2'(1(2(0(1(2(1(2(0(1(2(z0))))))))))), 1'(2(0(1(2(1(2(0(1(2(z0)))))))))), 2'(0(1(2(1(2(0(1(2(z0))))))))), 0'(1(2(1(2(0(1(2(z0)))))))), 1'(2(1(2(0(1(2(z0))))))), 2'(1(2(0(1(2(z0)))))), 1'(2(0(1(2(z0))))), 2'(0(1(2(z0)))), 0'(1(2(z0))), 1'(2(z0)), 2'(z0)) 0'(2(0(2(2(0(2(0(0(0(2(z0))))))))))) -> c20(0'(1(1(0(2(2(1(1(1(0(1(2(0(2(z0)))))))))))))), 1'(1(0(2(2(1(1(1(0(1(2(0(2(z0))))))))))))), 1'(0(2(2(1(1(1(0(1(2(0(2(z0)))))))))))), 0'(2(2(1(1(1(0(1(2(0(2(z0))))))))))), 2'(2(1(1(1(0(1(2(0(2(z0)))))))))), 2'(1(1(1(0(1(2(0(2(z0))))))))), 1'(1(1(0(1(2(0(2(z0)))))))), 1'(1(0(1(2(0(2(z0))))))), 1'(0(1(2(0(2(z0)))))), 0'(1(2(0(2(z0))))), 1'(2(0(2(z0)))), 2'(0(2(z0))), 0'(2(z0)), 2'(z0)) 0'(1(1(2(0(2(0(2(2(2(1(0(z0)))))))))))) -> c22(2'(0(1(0(0(1(1(0(1(1(0(2(0(z0))))))))))))), 0'(1(0(0(1(1(0(1(1(0(2(0(z0)))))))))))), 1'(0(0(1(1(0(1(1(0(2(0(z0))))))))))), 0'(0(1(1(0(1(1(0(2(0(z0)))))))))), 0'(1(1(0(1(1(0(2(0(z0))))))))), 1'(1(0(1(1(0(2(0(z0)))))))), 1'(0(1(1(0(2(0(z0))))))), 0'(1(1(0(2(0(z0)))))), 1'(1(0(2(0(z0))))), 1'(0(2(0(z0)))), 0'(2(0(z0))), 2'(0(z0)), 0'(z0)) 0'(1(1(2(2(1(1(2(2(0(0(0(z0)))))))))))) -> c23(2'(2(1(1(2(1(1(1(2(1(1(0(2(1(z0)))))))))))))), 2'(1(1(2(1(1(1(2(1(1(0(2(1(z0))))))))))))), 1'(1(2(1(1(1(2(1(1(0(2(1(z0)))))))))))), 1'(2(1(1(1(2(1(1(0(2(1(z0))))))))))), 2'(1(1(1(2(1(1(0(2(1(z0)))))))))), 1'(1(1(2(1(1(0(2(1(z0))))))))), 1'(1(2(1(1(0(2(1(z0)))))))), 1'(2(1(1(0(2(1(z0))))))), 2'(1(1(0(2(1(z0)))))), 1'(1(0(2(1(z0))))), 1'(0(2(1(z0)))), 0'(2(1(z0))), 2'(1(z0)), 1'(z0)) 0'(1(2(0(1(1(0(1(2(2(0(0(z0)))))))))))) -> c24(1'(1(1(1(0(1(2(0(0(2(1(0(2(1(z0)))))))))))))), 1'(1(1(0(1(2(0(0(2(1(0(2(1(z0))))))))))))), 1'(1(0(1(2(0(0(2(1(0(2(1(z0)))))))))))), 1'(0(1(2(0(0(2(1(0(2(1(z0))))))))))), 0'(1(2(0(0(2(1(0(2(1(z0)))))))))), 1'(2(0(0(2(1(0(2(1(z0))))))))), 2'(0(0(2(1(0(2(1(z0)))))))), 0'(0(2(1(0(2(1(z0))))))), 0'(2(1(0(2(1(z0)))))), 2'(1(0(2(1(z0))))), 1'(0(2(1(z0)))), 0'(2(1(z0))), 2'(1(z0)), 1'(z0)) 0'(1(2(2(0(0(1(2(2(0(0(0(z0)))))))))))) -> c25(1'(1(2(2(2(2(0(2(1(2(1(0(1(z0))))))))))))), 1'(2(2(2(2(0(2(1(2(1(0(1(z0)))))))))))), 2'(2(2(2(0(2(1(2(1(0(1(z0))))))))))), 2'(2(2(0(2(1(2(1(0(1(z0)))))))))), 2'(2(0(2(1(2(1(0(1(z0))))))))), 2'(0(2(1(2(1(0(1(z0)))))))), 0'(2(1(2(1(0(1(z0))))))), 2'(1(2(1(0(1(z0)))))), 1'(2(1(0(1(z0))))), 2'(1(0(1(z0)))), 1'(0(1(z0))), 0'(1(z0)), 1'(z0)) 0'(1(2(2(0(1(1(0(2(0(0(0(z0)))))))))))) -> c26(1'(2(1(2(1(2(0(2(0(2(1(1(0(z0))))))))))))), 2'(1(2(1(2(0(2(0(2(1(1(0(z0)))))))))))), 1'(2(1(2(0(2(0(2(1(1(0(z0))))))))))), 2'(1(2(0(2(0(2(1(1(0(z0)))))))))), 1'(2(0(2(0(2(1(1(0(z0))))))))), 2'(0(2(0(2(1(1(0(z0)))))))), 0'(2(0(2(1(1(0(z0))))))), 2'(0(2(1(1(0(z0)))))), 0'(2(1(1(0(z0))))), 2'(1(1(0(z0)))), 1'(1(0(z0))), 1'(0(z0)), 0'(z0)) 0'(0(1(0(1(1(1(0(1(0(2(0(0(1(z0)))))))))))))) -> c27(1'(2(1(1(1(1(0(1(1(0(0(2(1(0(0(0(z0)))))))))))))))), 2'(1(1(1(1(0(1(1(0(0(2(1(0(0(0(z0))))))))))))))), 1'(1(1(1(0(1(1(0(0(2(1(0(0(0(z0)))))))))))))), 1'(1(1(0(1(1(0(0(2(1(0(0(0(z0))))))))))))), 1'(1(0(1(1(0(0(2(1(0(0(0(z0)))))))))))), 1'(0(1(1(0(0(2(1(0(0(0(z0))))))))))), 0'(1(1(0(0(2(1(0(0(0(z0)))))))))), 1'(1(0(0(2(1(0(0(0(z0))))))))), 1'(0(0(2(1(0(0(0(z0)))))))), 0'(0(2(1(0(0(0(z0))))))), 0'(2(1(0(0(0(z0)))))), 2'(1(0(0(0(z0))))), 1'(0(0(0(z0)))), 0'(0(0(z0))), 0'(0(z0)), 0'(z0)) 0'(2(2(1(0(1(0(2(1(2(2(1(1(2(z0)))))))))))))) -> c28(2'(1(1(2(2(1(0(1(2(1(2(1(2(1(0(z0))))))))))))))), 1'(1(2(2(1(0(1(2(1(2(1(2(1(0(z0)))))))))))))), 1'(2(2(1(0(1(2(1(2(1(2(1(0(z0))))))))))))), 2'(2(1(0(1(2(1(2(1(2(1(0(z0)))))))))))), 2'(1(0(1(2(1(2(1(2(1(0(z0))))))))))), 1'(0(1(2(1(2(1(2(1(0(z0)))))))))), 0'(1(2(1(2(1(2(1(0(z0))))))))), 1'(2(1(2(1(2(1(0(z0)))))))), 2'(1(2(1(2(1(0(z0))))))), 1'(2(1(2(1(0(z0)))))), 2'(1(2(1(0(z0))))), 1'(2(1(0(z0)))), 2'(1(0(z0))), 1'(0(z0)), 0'(z0)) 0'(2(2(0(1(0(0(2(2(2(1(2(2(2(2(z0))))))))))))))) -> c29(2'(2(1(0(2(1(2(2(0(0(0(1(0(0(1(1(z0)))))))))))))))), 2'(1(0(2(1(2(2(0(0(0(1(0(0(1(1(z0))))))))))))))), 1'(0(2(1(2(2(0(0(0(1(0(0(1(1(z0)))))))))))))), 0'(2(1(2(2(0(0(0(1(0(0(1(1(z0))))))))))))), 2'(1(2(2(0(0(0(1(0(0(1(1(z0)))))))))))), 1'(2(2(0(0(0(1(0(0(1(1(z0))))))))))), 2'(2(0(0(0(1(0(0(1(1(z0)))))))))), 2'(0(0(0(1(0(0(1(1(z0))))))))), 0'(0(0(1(0(0(1(1(z0)))))))), 0'(0(1(0(0(1(1(z0))))))), 0'(1(0(0(1(1(z0)))))), 1'(0(0(1(1(z0))))), 0'(0(1(1(z0)))), 0'(1(1(z0))), 1'(1(z0)), 1'(z0)) 0'(1(0(2(0(1(2(2(0(1(0(0(2(0(1(2(2(z0))))))))))))))))) -> c31(1'(2(2(1(2(1(2(2(1(0(0(0(0(0(0(0(2(z0))))))))))))))))), 2'(2(1(2(1(2(2(1(0(0(0(0(0(0(0(2(z0)))))))))))))))), 2'(1(2(1(2(2(1(0(0(0(0(0(0(0(2(z0))))))))))))))), 1'(2(1(2(2(1(0(0(0(0(0(0(0(2(z0)))))))))))))), 2'(1(2(2(1(0(0(0(0(0(0(0(2(z0))))))))))))), 1'(2(2(1(0(0(0(0(0(0(0(2(z0)))))))))))), 2'(2(1(0(0(0(0(0(0(0(2(z0))))))))))), 2'(1(0(0(0(0(0(0(0(2(z0)))))))))), 1'(0(0(0(0(0(0(0(2(z0))))))))), 0'(0(0(0(0(0(0(2(z0)))))))), 0'(0(0(0(0(0(2(z0))))))), 0'(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)) 0'(1(0(2(2(0(2(2(0(2(1(0(2(1(0(0(2(z0))))))))))))))))) -> c32(1'(1(1(0(1(2(2(0(2(2(1(2(2(0(1(0(1(0(z0)))))))))))))))))), 1'(1(0(1(2(2(0(2(2(1(2(2(0(1(0(1(0(z0))))))))))))))))), 1'(0(1(2(2(0(2(2(1(2(2(0(1(0(1(0(z0)))))))))))))))), 0'(1(2(2(0(2(2(1(2(2(0(1(0(1(0(z0))))))))))))))), 1'(2(2(0(2(2(1(2(2(0(1(0(1(0(z0)))))))))))))), 2'(2(0(2(2(1(2(2(0(1(0(1(0(z0))))))))))))), 2'(0(2(2(1(2(2(0(1(0(1(0(z0)))))))))))), 0'(2(2(1(2(2(0(1(0(1(0(z0))))))))))), 2'(2(1(2(2(0(1(0(1(0(z0)))))))))), 2'(1(2(2(0(1(0(1(0(z0))))))))), 1'(2(2(0(1(0(1(0(z0)))))))), 2'(2(0(1(0(1(0(z0))))))), 2'(0(1(0(1(0(z0)))))), 0'(1(0(1(0(z0))))), 1'(0(1(0(z0)))), 0'(1(0(z0))), 1'(0(z0)), 0'(z0)) 0'(2(0(2(2(2(0(1(0(2(0(2(0(2(1(2(0(z0))))))))))))))))) -> c33(1'(0(1(1(0(2(2(0(1(2(1(0(0(1(2(1(0(1(z0)))))))))))))))))), 0'(1(1(0(2(2(0(1(2(1(0(0(1(2(1(0(1(z0))))))))))))))))), 1'(1(0(2(2(0(1(2(1(0(0(1(2(1(0(1(z0)))))))))))))))), 1'(0(2(2(0(1(2(1(0(0(1(2(1(0(1(z0))))))))))))))), 0'(2(2(0(1(2(1(0(0(1(2(1(0(1(z0)))))))))))))), 2'(2(0(1(2(1(0(0(1(2(1(0(1(z0))))))))))))), 2'(0(1(2(1(0(0(1(2(1(0(1(z0)))))))))))), 0'(1(2(1(0(0(1(2(1(0(1(z0))))))))))), 1'(2(1(0(0(1(2(1(0(1(z0)))))))))), 2'(1(0(0(1(2(1(0(1(z0))))))))), 1'(0(0(1(2(1(0(1(z0)))))))), 0'(0(1(2(1(0(1(z0))))))), 0'(1(2(1(0(1(z0)))))), 1'(2(1(0(1(z0))))), 2'(1(0(1(z0)))), 1'(0(1(z0))), 0'(1(z0)), 1'(z0)) 0'(2(0(2(2(1(0(1(2(0(0(2(1(0(2(2(1(1(z0)))))))))))))))))) -> c34(1'(1(1(0(2(0(1(2(0(2(2(0(1(0(1(0(0(1(1(z0))))))))))))))))))), 1'(1(0(2(0(1(2(0(2(2(0(1(0(1(0(0(1(1(z0)))))))))))))))))), 1'(0(2(0(1(2(0(2(2(0(1(0(1(0(0(1(1(z0))))))))))))))))), 0'(2(0(1(2(0(2(2(0(1(0(1(0(0(1(1(z0)))))))))))))))), 2'(0(1(2(0(2(2(0(1(0(1(0(0(1(1(z0))))))))))))))), 0'(1(2(0(2(2(0(1(0(1(0(0(1(1(z0)))))))))))))), 1'(2(0(2(2(0(1(0(1(0(0(1(1(z0))))))))))))), 2'(0(2(2(0(1(0(1(0(0(1(1(z0)))))))))))), 0'(2(2(0(1(0(1(0(0(1(1(z0))))))))))), 2'(2(0(1(0(1(0(0(1(1(z0)))))))))), 2'(0(1(0(1(0(0(1(1(z0))))))))), 0'(1(0(1(0(0(1(1(z0)))))))), 1'(0(1(0(0(1(1(z0))))))), 0'(1(0(0(1(1(z0)))))), 1'(0(0(1(1(z0))))), 0'(0(1(1(z0)))), 0'(1(1(z0))), 1'(1(z0)), 1'(z0)) 0'(2(2(2(0(1(0(2(0(1(0(0(0(2(2(2(2(0(z0)))))))))))))))))) -> c35(2'(1(2(1(2(0(0(0(2(0(0(1(1(0(2(1(2(0(0(2(z0)))))))))))))))))))), 1'(2(1(2(0(0(0(2(0(0(1(1(0(2(1(2(0(0(2(z0))))))))))))))))))), 2'(1(2(0(0(0(2(0(0(1(1(0(2(1(2(0(0(2(z0)))))))))))))))))), 1'(2(0(0(0(2(0(0(1(1(0(2(1(2(0(0(2(z0))))))))))))))))), 2'(0(0(0(2(0(0(1(1(0(2(1(2(0(0(2(z0)))))))))))))))), 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1'(z0)) 0'(0(z0)) -> c7(1'(1(2(z0))), 1'(2(z0)), 2'(z0)) 0'(0(2(0(2(z0))))) -> c9(1'(2(2(1(1(2(2(1(1(z0))))))))), 2'(2(1(1(2(2(1(1(z0)))))))), 2'(1(1(2(2(1(1(z0))))))), 1'(1(2(2(1(1(z0)))))), 1'(2(2(1(1(z0))))), 2'(2(1(1(z0)))), 2'(1(1(z0))), 1'(1(z0)), 1'(z0)) 0'(0(1(0(2(2(0(1(2(0(z0)))))))))) -> c14(2'(2(2(1(1(1(1(2(2(1(2(2(2(1(2(z0))))))))))))))), 2'(2(1(1(1(1(2(2(1(2(2(2(1(2(z0)))))))))))))), 2'(1(1(1(1(2(2(1(2(2(2(1(2(z0))))))))))))), 1'(1(1(1(2(2(1(2(2(2(1(2(z0)))))))))))), 1'(1(1(2(2(1(2(2(2(1(2(z0))))))))))), 1'(1(2(2(1(2(2(2(1(2(z0)))))))))), 1'(2(2(1(2(2(2(1(2(z0))))))))), 2'(2(1(2(2(2(1(2(z0)))))))), 2'(1(2(2(2(1(2(z0))))))), 1'(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)) 0'(0(0(1(2(1(2(1(2(0(1(z0))))))))))) -> c16(1'(2(2(1(0(0(1(1(2(2(1(2(z0)))))))))))), 2'(2(1(0(0(1(1(2(2(1(2(z0))))))))))), 2'(1(0(0(1(1(2(2(1(2(z0)))))))))), 1'(0(0(1(1(2(2(1(2(z0))))))))), 0'(0(1(1(2(2(1(2(z0)))))))), 0'(1(1(2(2(1(2(z0))))))), 1'(1(2(2(1(2(z0)))))), 1'(2(2(1(2(z0))))), 2'(2(1(2(z0)))), 2'(1(2(z0))), 1'(2(z0)), 2'(z0)) 0'(0(2(0(0(1(0(1(1(1(2(z0))))))))))) -> c17(1'(2(1(1(1(0(2(1(0(1(2(2(1(z0))))))))))))), 2'(1(1(1(0(2(1(0(1(2(2(1(z0)))))))))))), 1'(1(1(0(2(1(0(1(2(2(1(z0))))))))))), 1'(1(0(2(1(0(1(2(2(1(z0)))))))))), 1'(0(2(1(0(1(2(2(1(z0))))))))), 0'(2(1(0(1(2(2(1(z0)))))))), 2'(1(0(1(2(2(1(z0))))))), 1'(0(1(2(2(1(z0)))))), 0'(1(2(2(1(z0))))), 1'(2(2(1(z0)))), 2'(2(1(z0))), 2'(1(z0)), 1'(z0)) 0'(1(0(1(0(2(1(1(2(0(2(0(z0)))))))))))) -> c21(1'(1(1(1(0(2(1(1(2(1(2(2(2(2(1(1(z0)))))))))))))))), 1'(1(1(0(2(1(1(2(1(2(2(2(2(1(1(z0))))))))))))))), 1'(1(0(2(1(1(2(1(2(2(2(2(1(1(z0)))))))))))))), 1'(0(2(1(1(2(1(2(2(2(2(1(1(z0))))))))))))), 0'(2(1(1(2(1(2(2(2(2(1(1(z0)))))))))))), 2'(1(1(2(1(2(2(2(2(1(1(z0))))))))))), 1'(1(2(1(2(2(2(2(1(1(z0)))))))))), 1'(2(1(2(2(2(2(1(1(z0))))))))), 2'(1(2(2(2(2(1(1(z0)))))))), 1'(2(2(2(2(1(1(z0))))))), 2'(2(2(2(1(1(z0)))))), 2'(2(2(1(1(z0))))), 2'(2(1(1(z0)))), 2'(1(1(z0))), 1'(1(z0)), 1'(z0)) 0'(2(1(0(0(1(0(2(2(0(0(2(0(0(2(1(z0)))))))))))))))) -> c30(0'(1(2(1(2(0(0(1(1(2(2(2(0(1(1(2(2(2(1(2(z0)))))))))))))))))))), 1'(2(1(2(0(0(1(1(2(2(2(0(1(1(2(2(2(1(2(z0))))))))))))))))))), 2'(1(2(0(0(1(1(2(2(2(0(1(1(2(2(2(1(2(z0)))))))))))))))))), 1'(2(0(0(1(1(2(2(2(0(1(1(2(2(2(1(2(z0))))))))))))))))), 2'(0(0(1(1(2(2(2(0(1(1(2(2(2(1(2(z0)))))))))))))))), 0'(0(1(1(2(2(2(0(1(1(2(2(2(1(2(z0))))))))))))))), 0'(1(1(2(2(2(0(1(1(2(2(2(1(2(z0)))))))))))))), 1'(1(2(2(2(0(1(1(2(2(2(1(2(z0))))))))))))), 1'(2(2(2(0(1(1(2(2(2(1(2(z0)))))))))))), 2'(2(2(0(1(1(2(2(2(1(2(z0))))))))))), 2'(2(0(1(1(2(2(2(1(2(z0)))))))))), 2'(0(1(1(2(2(2(1(2(z0))))))))), 0'(1(1(2(2(2(1(2(z0)))))))), 1'(1(2(2(2(1(2(z0))))))), 1'(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)) 2'(1(0(1(2(0(0(z0))))))) -> c59(1'(1(1(0(1(2(2(1(1(z0))))))))), 1'(1(0(1(2(2(1(1(z0)))))))), 1'(0(1(2(2(1(1(z0))))))), 0'(1(2(2(1(1(z0)))))), 1'(2(2(1(1(z0))))), 2'(2(1(1(z0)))), 2'(1(1(z0))), 1'(1(z0)), 1'(z0)) 2'(0(2(1(1(2(2(0(z0)))))))) -> c62(2'(0(0(2(2(1(2(1(z0)))))))), 0'(0(2(2(1(2(1(z0))))))), 0'(2(2(1(2(1(z0)))))), 2'(2(1(2(1(z0))))), 2'(1(2(1(z0)))), 1'(2(1(z0))), 2'(1(z0)), 1'(z0)) 2'(1(0(1(2(1(2(2(2(z0))))))))) -> c64(1'(1(0(1(0(0(1(1(1(1(2(z0))))))))))), 1'(0(1(0(0(1(1(1(1(2(z0)))))))))), 0'(1(0(0(1(1(1(1(2(z0))))))))), 1'(0(0(1(1(1(1(2(z0)))))))), 0'(0(1(1(1(1(2(z0))))))), 0'(1(1(1(1(2(z0)))))), 1'(1(1(1(2(z0))))), 1'(1(1(2(z0)))), 1'(1(2(z0))), 1'(2(z0)), 2'(z0)) 2'(0(2(0(2(2(0(2(0(1(0(0(0(0(1(2(z0)))))))))))))))) -> c70(1'(1(2(1(0(0(2(1(1(2(1(2(1(1(2(1(2(1(2(2(0(2(z0)))))))))))))))))))))), 1'(2(1(0(0(2(1(1(2(1(2(1(1(2(1(2(1(2(2(0(2(z0))))))))))))))))))))), 2'(1(0(0(2(1(1(2(1(2(1(1(2(1(2(1(2(2(0(2(z0)))))))))))))))))))), 1'(0(0(2(1(1(2(1(2(1(1(2(1(2(1(2(2(0(2(z0))))))))))))))))))), 0'(0(2(1(1(2(1(2(1(1(2(1(2(1(2(2(0(2(z0)))))))))))))))))), 0'(2(1(1(2(1(2(1(1(2(1(2(1(2(2(0(2(z0))))))))))))))))), 2'(1(1(2(1(2(1(1(2(1(2(1(2(2(0(2(z0)))))))))))))))), 1'(1(2(1(2(1(1(2(1(2(1(2(2(0(2(z0))))))))))))))), 1'(2(1(2(1(1(2(1(2(1(2(2(0(2(z0)))))))))))))), 2'(1(2(1(1(2(1(2(1(2(2(0(2(z0))))))))))))), 1'(2(1(1(2(1(2(1(2(2(0(2(z0)))))))))))), 2'(1(1(2(1(2(1(2(2(0(2(z0))))))))))), 1'(1(2(1(2(1(2(2(0(2(z0)))))))))), 1'(2(1(2(1(2(2(0(2(z0))))))))), 2'(1(2(1(2(2(0(2(z0)))))))), 1'(2(1(2(2(0(2(z0))))))), 2'(1(2(2(0(2(z0)))))), 1'(2(2(0(2(z0))))), 2'(2(0(2(z0)))), 2'(0(2(z0))), 0'(2(z0)), 2'(z0)) 2'(0(2(2(2(2(1(2(0(1(0(1(0(2(2(1(z0)))))))))))))))) -> c71(2'(1(2(1(2(2(2(0(0(1(2(2(1(0(0(2(z0)))))))))))))))), 1'(2(1(2(2(2(0(0(1(2(2(1(0(0(2(z0))))))))))))))), 2'(1(2(2(2(0(0(1(2(2(1(0(0(2(z0)))))))))))))), 1'(2(2(2(0(0(1(2(2(1(0(0(2(z0))))))))))))), 2'(2(2(0(0(1(2(2(1(0(0(2(z0)))))))))))), 2'(2(0(0(1(2(2(1(0(0(2(z0))))))))))), 2'(0(0(1(2(2(1(0(0(2(z0)))))))))), 0'(0(1(2(2(1(0(0(2(z0))))))))), 0'(1(2(2(1(0(0(2(z0)))))))), 1'(2(2(1(0(0(2(z0))))))), 2'(2(1(0(0(2(z0)))))), 2'(1(0(0(2(z0))))), 1'(0(0(2(z0)))), 0'(0(2(z0))), 0'(2(z0)), 2'(z0)) 2'(2(2(2(0(0(1(0(1(1(1(2(0(2(0(2(2(0(0(z0))))))))))))))))))) -> c73(2'(0(0(0(1(1(0(2(2(2(1(2(0(0(1(1(2(1(1(1(2(1(2(z0))))))))))))))))))))))), 0'(0(0(1(1(0(2(2(2(1(2(0(0(1(1(2(1(1(1(2(1(2(z0)))))))))))))))))))))), 0'(0(1(1(0(2(2(2(1(2(0(0(1(1(2(1(1(1(2(1(2(z0))))))))))))))))))))), 0'(1(1(0(2(2(2(1(2(0(0(1(1(2(1(1(1(2(1(2(z0)))))))))))))))))))), 1'(1(0(2(2(2(1(2(0(0(1(1(2(1(1(1(2(1(2(z0))))))))))))))))))), 1'(0(2(2(2(1(2(0(0(1(1(2(1(1(1(2(1(2(z0)))))))))))))))))), 0'(2(2(2(1(2(0(0(1(1(2(1(1(1(2(1(2(z0))))))))))))))))), 2'(2(2(1(2(0(0(1(1(2(1(1(1(2(1(2(z0)))))))))))))))), 2'(2(1(2(0(0(1(1(2(1(1(1(2(1(2(z0))))))))))))))), 2'(1(2(0(0(1(1(2(1(1(1(2(1(2(z0)))))))))))))), 1'(2(0(0(1(1(2(1(1(1(2(1(2(z0))))))))))))), 2'(0(0(1(1(2(1(1(1(2(1(2(z0)))))))))))), 0'(0(1(1(2(1(1(1(2(1(2(z0))))))))))), 0'(1(1(2(1(1(1(2(1(2(z0)))))))))), 1'(1(2(1(1(1(2(1(2(z0))))))))), 1'(2(1(1(1(2(1(2(z0)))))))), 2'(1(1(1(2(1(2(z0))))))), 1'(1(1(2(1(2(z0)))))), 1'(1(2(1(2(z0))))), 1'(2(1(2(z0)))), 2'(1(2(z0))), 1'(2(z0)), 2'(z0)) 2'(1(2(1(1(2(0(0(1(1(0(1(1(2(1(1(1(1(0(1(2(z0))))))))))))))))))))) -> c76(1'(1(1(1(2(1(0(1(0(1(2(2(1(2(1(1(1(0(0(1(2(z0))))))))))))))))))))), 1'(1(1(2(1(0(1(0(1(2(2(1(2(1(1(1(0(0(1(2(z0)))))))))))))))))))), 1'(1(2(1(0(1(0(1(2(2(1(2(1(1(1(0(0(1(2(z0))))))))))))))))))), 1'(2(1(0(1(0(1(2(2(1(2(1(1(1(0(0(1(2(z0)))))))))))))))))), 2'(1(0(1(0(1(2(2(1(2(1(1(1(0(0(1(2(z0))))))))))))))))), 1'(0(1(0(1(2(2(1(2(1(1(1(0(0(1(2(z0)))))))))))))))), 0'(1(0(1(2(2(1(2(1(1(1(0(0(1(2(z0))))))))))))))), 1'(0(1(2(2(1(2(1(1(1(0(0(1(2(z0)))))))))))))), 0'(1(2(2(1(2(1(1(1(0(0(1(2(z0))))))))))))), 1'(2(2(1(2(1(1(1(0(0(1(2(z0)))))))))))), 2'(2(1(2(1(1(1(0(0(1(2(z0))))))))))), 2'(1(2(1(1(1(0(0(1(2(z0)))))))))), 1'(2(1(1(1(0(0(1(2(z0))))))))), 2'(1(1(1(0(0(1(2(z0)))))))), 1'(1(1(0(0(1(2(z0))))))), 1'(1(0(0(1(2(z0)))))), 1'(0(0(1(2(z0))))), 0'(0(1(2(z0)))), 0'(1(2(z0))), 1'(2(z0)), 2'(z0)) 2'(2(0(0(2(1(0(1(0(0(0(0(0(1(0(0(2(0(0(1(1(z0))))))))))))))))))))) -> 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2'(2(0(2(1(1(0(1(2(0(1(1(2(0(2(0(1(0(2(0(1(z0))))))))))))))))))))) -> c78(2'(1(2(1(0(1(1(1(1(0(2(2(2(1(2(2(1(2(1(1(0(2(z0)))))))))))))))))))))), 1'(2(1(0(1(1(1(1(0(2(2(2(1(2(2(1(2(1(1(0(2(z0))))))))))))))))))))), 2'(1(0(1(1(1(1(0(2(2(2(1(2(2(1(2(1(1(0(2(z0)))))))))))))))))))), 1'(0(1(1(1(1(0(2(2(2(1(2(2(1(2(1(1(0(2(z0))))))))))))))))))), 0'(1(1(1(1(0(2(2(2(1(2(2(1(2(1(1(0(2(z0)))))))))))))))))), 1'(1(1(1(0(2(2(2(1(2(2(1(2(1(1(0(2(z0))))))))))))))))), 1'(1(1(0(2(2(2(1(2(2(1(2(1(1(0(2(z0)))))))))))))))), 1'(1(0(2(2(2(1(2(2(1(2(1(1(0(2(z0))))))))))))))), 1'(0(2(2(2(1(2(2(1(2(1(1(0(2(z0)))))))))))))), 0'(2(2(2(1(2(2(1(2(1(1(0(2(z0))))))))))))), 2'(2(2(1(2(2(1(2(1(1(0(2(z0)))))))))))), 2'(2(1(2(2(1(2(1(1(0(2(z0))))))))))), 2'(1(2(2(1(2(1(1(0(2(z0)))))))))), 1'(2(2(1(2(1(1(0(2(z0))))))))), 2'(2(1(2(1(1(0(2(z0)))))))), 2'(1(2(1(1(0(2(z0))))))), 1'(2(1(1(0(2(z0)))))), 2'(1(1(0(2(z0))))), 1'(1(0(2(z0)))), 1'(0(2(z0))), 0'(2(z0)), 2'(z0)) 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1'(2(1(0(2(0(1(0(1(1(1(0(z0)))))))))))), 2'(1(0(2(0(1(0(1(1(1(0(z0))))))))))), 1'(0(2(0(1(0(1(1(1(0(z0)))))))))), 0'(2(0(1(0(1(1(1(0(z0))))))))), 2'(0(1(0(1(1(1(0(z0)))))))), 0'(1(0(1(1(1(0(z0))))))), 1'(0(1(1(1(0(z0)))))), 0'(1(1(1(0(z0))))), 1'(1(1(0(z0)))), 1'(1(0(z0))), 1'(0(z0)), 0'(z0)) 1'(0(1(1(2(0(1(1(0(0(2(1(0(0(2(2(0(0(0(z0))))))))))))))))))) -> c102(2'(1(1(0(1(1(2(1(2(2(2(2(1(1(1(1(2(1(1(2(0(0(2(1(z0)))))))))))))))))))))))), 1'(1(0(1(1(2(1(2(2(2(2(1(1(1(1(2(1(1(2(0(0(2(1(z0))))))))))))))))))))))), 1'(0(1(1(2(1(2(2(2(2(1(1(1(1(2(1(1(2(0(0(2(1(z0)))))))))))))))))))))), 0'(1(1(2(1(2(2(2(2(1(1(1(1(2(1(1(2(0(0(2(1(z0))))))))))))))))))))), 1'(1(2(1(2(2(2(2(1(1(1(1(2(1(1(2(0(0(2(1(z0)))))))))))))))))))), 1'(2(1(2(2(2(2(1(1(1(1(2(1(1(2(0(0(2(1(z0))))))))))))))))))), 2'(1(2(2(2(2(1(1(1(1(2(1(1(2(0(0(2(1(z0)))))))))))))))))), 1'(2(2(2(2(1(1(1(1(2(1(1(2(0(0(2(1(z0))))))))))))))))), 2'(2(2(2(1(1(1(1(2(1(1(2(0(0(2(1(z0)))))))))))))))), 2'(2(2(1(1(1(1(2(1(1(2(0(0(2(1(z0))))))))))))))), 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2'(1(2(0(2(0(0(0(1(2(1(2(1(2(0(2(1(z0))))))))))))))))), 1'(2(0(2(0(0(0(1(2(1(2(1(2(0(2(1(z0)))))))))))))))), 2'(0(2(0(0(0(1(2(1(2(1(2(0(2(1(z0))))))))))))))), 0'(2(0(0(0(1(2(1(2(1(2(0(2(1(z0)))))))))))))), 2'(0(0(0(1(2(1(2(1(2(0(2(1(z0))))))))))))), 0'(0(0(1(2(1(2(1(2(0(2(1(z0)))))))))))), 0'(0(1(2(1(2(1(2(0(2(1(z0))))))))))), 0'(1(2(1(2(1(2(0(2(1(z0)))))))))), 1'(2(1(2(1(2(0(2(1(z0))))))))), 2'(1(2(1(2(0(2(1(z0)))))))), 1'(2(1(2(0(2(1(z0))))))), 2'(1(2(0(2(1(z0)))))), 1'(2(0(2(1(z0))))), 2'(0(2(1(z0)))), 0'(2(1(z0))), 2'(1(z0)), 1'(z0)) 1'(0(1(0(0(0(2(0(1(2(0(2(0(2(0(1(0(2(2(0(0(1(0(1(1(z0))))))))))))))))))))))))) -> c112(1'(2(0(0(2(0(1(0(1(0(2(2(1(1(0(0(0(1(2(1(1(1(1(0(2(1(z0)))))))))))))))))))))))))), 2'(0(0(2(0(1(0(1(0(2(2(1(1(0(0(0(1(2(1(1(1(1(0(2(1(z0))))))))))))))))))))))))), 0'(0(2(0(1(0(1(0(2(2(1(1(0(0(0(1(2(1(1(1(1(0(2(1(z0)))))))))))))))))))))))), 0'(2(0(1(0(1(0(2(2(1(1(0(0(0(1(2(1(1(1(1(0(2(1(z0))))))))))))))))))))))), 2'(0(1(0(1(0(2(2(1(1(0(0(0(1(2(1(1(1(1(0(2(1(z0)))))))))))))))))))))), 0'(1(0(1(0(2(2(1(1(0(0(0(1(2(1(1(1(1(0(2(1(z0))))))))))))))))))))), 1'(0(1(0(2(2(1(1(0(0(0(1(2(1(1(1(1(0(2(1(z0)))))))))))))))))))), 0'(1(0(2(2(1(1(0(0(0(1(2(1(1(1(1(0(2(1(z0))))))))))))))))))), 1'(0(2(2(1(1(0(0(0(1(2(1(1(1(1(0(2(1(z0)))))))))))))))))), 0'(2(2(1(1(0(0(0(1(2(1(1(1(1(0(2(1(z0))))))))))))))))), 2'(2(1(1(0(0(0(1(2(1(1(1(1(0(2(1(z0)))))))))))))))), 2'(1(1(0(0(0(1(2(1(1(1(1(0(2(1(z0))))))))))))))), 1'(1(0(0(0(1(2(1(1(1(1(0(2(1(z0)))))))))))))), 1'(0(0(0(1(2(1(1(1(1(0(2(1(z0))))))))))))), 0'(0(0(1(2(1(1(1(1(0(2(1(z0)))))))))))), 0'(0(1(2(1(1(1(1(0(2(1(z0))))))))))), 0'(1(2(1(1(1(1(0(2(1(z0)))))))))), 1'(2(1(1(1(1(0(2(1(z0))))))))), 2'(1(1(1(1(0(2(1(z0)))))))), 1'(1(1(1(0(2(1(z0))))))), 1'(1(1(0(2(1(z0)))))), 1'(1(0(2(1(z0))))), 1'(0(2(1(z0)))), 0'(2(1(z0))), 2'(1(z0)), 1'(z0)) 1'(1(0(2(0(1(2(1(0(0(1(0(0(2(1(0(2(0(1(0(0(0(1(0(1(z0))))))))))))))))))))))))) -> c113(2'(1(0(2(0(0(1(1(2(2(1(2(0(2(2(1(2(1(2(2(1(0(2(1(2(1(z0)))))))))))))))))))))))))), 1'(0(2(0(0(1(1(2(2(1(2(0(2(2(1(2(1(2(2(1(0(2(1(2(1(z0))))))))))))))))))))))))), 0'(2(0(0(1(1(2(2(1(2(0(2(2(1(2(1(2(2(1(0(2(1(2(1(z0)))))))))))))))))))))))), 2'(0(0(1(1(2(2(1(2(0(2(2(1(2(1(2(2(1(0(2(1(2(1(z0))))))))))))))))))))))), 0'(0(1(1(2(2(1(2(0(2(2(1(2(1(2(2(1(0(2(1(2(1(z0)))))))))))))))))))))), 0'(1(1(2(2(1(2(0(2(2(1(2(1(2(2(1(0(2(1(2(1(z0))))))))))))))))))))), 1'(1(2(2(1(2(0(2(2(1(2(1(2(2(1(0(2(1(2(1(z0)))))))))))))))))))), 1'(2(2(1(2(0(2(2(1(2(1(2(2(1(0(2(1(2(1(z0))))))))))))))))))), 2'(2(1(2(0(2(2(1(2(1(2(2(1(0(2(1(2(1(z0)))))))))))))))))), 2'(1(2(0(2(2(1(2(1(2(2(1(0(2(1(2(1(z0))))))))))))))))), 1'(2(0(2(2(1(2(1(2(2(1(0(2(1(2(1(z0)))))))))))))))), 2'(0(2(2(1(2(1(2(2(1(0(2(1(2(1(z0))))))))))))))), 0'(2(2(1(2(1(2(2(1(0(2(1(2(1(z0)))))))))))))), 2'(2(1(2(1(2(2(1(0(2(1(2(1(z0))))))))))))), 2'(1(2(1(2(2(1(0(2(1(2(1(z0)))))))))))), 1'(2(1(2(2(1(0(2(1(2(1(z0))))))))))), 2'(1(2(2(1(0(2(1(2(1(z0)))))))))), 1'(2(2(1(0(2(1(2(1(z0))))))))), 2'(2(1(0(2(1(2(1(z0)))))))), 2'(1(0(2(1(2(1(z0))))))), 1'(0(2(1(2(1(z0)))))), 0'(2(1(2(1(z0))))), 2'(1(2(1(z0)))), 1'(2(1(z0))), 2'(1(z0)), 1'(z0)) 1'(2(2(1(1(2(2(1(1(2(1(2(2(0(0(1(2(1(0(1(1(0(1(0(0(2(2(0(z0)))))))))))))))))))))))))))) -> c115(1'(2(1(2(1(0(1(2(2(2(1(2(0(0(0(2(1(0(0(1(1(1(0(0(1(1(1(1(1(0(z0)))))))))))))))))))))))))))))), 2'(1(2(1(0(1(2(2(2(1(2(0(0(0(2(1(0(0(1(1(1(0(0(1(1(1(1(1(0(z0))))))))))))))))))))))))))))), 1'(2(1(0(1(2(2(2(1(2(0(0(0(2(1(0(0(1(1(1(0(0(1(1(1(1(1(0(z0)))))))))))))))))))))))))))), 2'(1(0(1(2(2(2(1(2(0(0(0(2(1(0(0(1(1(1(0(0(1(1(1(1(1(0(z0))))))))))))))))))))))))))), 1'(0(1(2(2(2(1(2(0(0(0(2(1(0(0(1(1(1(0(0(1(1(1(1(1(0(z0)))))))))))))))))))))))))), 0'(1(2(2(2(1(2(0(0(0(2(1(0(0(1(1(1(0(0(1(1(1(1(1(0(z0))))))))))))))))))))))))), 1'(2(2(2(1(2(0(0(0(2(1(0(0(1(1(1(0(0(1(1(1(1(1(0(z0)))))))))))))))))))))))), 2'(2(2(1(2(0(0(0(2(1(0(0(1(1(1(0(0(1(1(1(1(1(0(z0))))))))))))))))))))))), 2'(2(1(2(0(0(0(2(1(0(0(1(1(1(0(0(1(1(1(1(1(0(z0)))))))))))))))))))))), 2'(1(2(0(0(0(2(1(0(0(1(1(1(0(0(1(1(1(1(1(0(z0))))))))))))))))))))), 1'(2(0(0(0(2(1(0(0(1(1(1(0(0(1(1(1(1(1(0(z0)))))))))))))))))))), 2'(0(0(0(2(1(0(0(1(1(1(0(0(1(1(1(1(1(0(z0))))))))))))))))))), 0'(0(0(2(1(0(0(1(1(1(0(0(1(1(1(1(1(0(z0)))))))))))))))))), 0'(0(2(1(0(0(1(1(1(0(0(1(1(1(1(1(0(z0))))))))))))))))), 0'(2(1(0(0(1(1(1(0(0(1(1(1(1(1(0(z0)))))))))))))))), 2'(1(0(0(1(1(1(0(0(1(1(1(1(1(0(z0))))))))))))))), 1'(0(0(1(1(1(0(0(1(1(1(1(1(0(z0)))))))))))))), 0'(0(1(1(1(0(0(1(1(1(1(1(0(z0))))))))))))), 0'(1(1(1(0(0(1(1(1(1(1(0(z0)))))))))))), 1'(1(1(0(0(1(1(1(1(1(0(z0))))))))))), 1'(1(0(0(1(1(1(1(1(0(z0)))))))))), 1'(0(0(1(1(1(1(1(0(z0))))))))), 0'(0(1(1(1(1(1(0(z0)))))))), 0'(1(1(1(1(1(0(z0))))))), 1'(1(1(1(1(0(z0)))))), 1'(1(1(1(0(z0))))), 1'(1(1(0(z0)))), 1'(1(0(z0))), 1'(0(z0)), 0'(z0)) ---------------------------------------- (8) Obligation: Complexity Dependency Tuples Problem Rules: encArg(cons_0(z0)) -> 0(encArg(z0)) encArg(cons_2(z0)) -> 2(encArg(z0)) encArg(cons_1(z0)) -> 1(encArg(z0)) encode_0(z0) -> 0(encArg(z0)) encode_1(z0) -> 1(encArg(z0)) encode_2(z0) -> 2(encArg(z0)) 0(z0) -> 1(1(z0)) 0(0(z0)) -> 1(1(2(z0))) 0(2(0(0(z0)))) -> 0(2(1(1(1(1(1(1(1(1(z0)))))))))) 0(0(2(0(2(z0))))) -> 1(2(2(1(1(2(2(1(1(z0))))))))) 0(2(0(2(0(0(z0)))))) -> 0(1(2(2(1(2(0(z0))))))) 0(0(0(0(2(0(1(2(z0)))))))) -> 1(1(1(2(1(1(1(0(0(0(2(z0))))))))))) 0(0(2(1(0(2(2(1(z0)))))))) -> 1(1(0(1(0(2(1(1(1(0(z0)))))))))) 0(2(0(1(2(0(1(1(2(z0))))))))) -> 1(2(2(1(1(1(2(2(1(0(z0)))))))))) 0(0(1(0(2(2(0(1(2(0(z0)))))))))) -> 2(2(2(1(1(1(1(2(2(1(2(2(2(1(2(z0))))))))))))))) 0(1(1(0(0(2(0(1(2(2(z0)))))))))) -> 1(1(2(1(1(2(1(1(0(0(0(2(1(z0))))))))))))) 0(0(0(1(2(1(2(1(2(0(1(z0))))))))))) -> 1(2(2(1(0(0(1(1(2(2(1(2(z0)))))))))))) 0(0(2(0(0(1(0(1(1(1(2(z0))))))))))) -> 1(2(1(1(1(0(2(1(0(1(2(2(1(z0))))))))))))) 0(0(2(0(2(2(2(2(2(2(0(z0))))))))))) -> 0(2(0(1(0(0(1(1(1(1(2(1(z0)))))))))))) 0(1(2(0(2(1(0(0(0(0(1(z0))))))))))) -> 2(2(1(2(0(1(2(1(2(0(1(2(z0)))))))))))) 0(2(0(2(2(0(2(0(0(0(2(z0))))))))))) -> 0(1(1(0(2(2(1(1(1(0(1(2(0(2(z0)))))))))))))) 0(1(0(1(0(2(1(1(2(0(2(0(z0)))))))))))) -> 1(1(1(1(0(2(1(1(2(1(2(2(2(2(1(1(z0)))))))))))))))) 0(1(1(2(0(2(0(2(2(2(1(0(z0)))))))))))) -> 2(0(1(0(0(1(1(0(1(1(0(2(0(z0))))))))))))) 0(1(1(2(2(1(1(2(2(0(0(0(z0)))))))))))) -> 2(2(1(1(2(1(1(1(2(1(1(0(2(1(z0)))))))))))))) 0(1(2(0(1(1(0(1(2(2(0(0(z0)))))))))))) -> 1(1(1(1(0(1(2(0(0(2(1(0(2(1(z0)))))))))))))) 0(1(2(2(0(0(1(2(2(0(0(0(z0)))))))))))) -> 1(1(2(2(2(2(0(2(1(2(1(0(1(z0))))))))))))) 0(1(2(2(0(1(1(0(2(0(0(0(z0)))))))))))) -> 1(2(1(2(1(2(0(2(0(2(1(1(0(z0))))))))))))) 0(0(1(0(1(1(1(0(1(0(2(0(0(1(z0)))))))))))))) -> 1(2(1(1(1(1(0(1(1(0(0(2(1(0(0(0(z0)))))))))))))))) 0(2(2(1(0(1(0(2(1(2(2(1(1(2(z0)))))))))))))) -> 2(1(1(2(2(1(0(1(2(1(2(1(2(1(0(z0))))))))))))))) 0(2(2(0(1(0(0(2(2(2(1(2(2(2(2(z0))))))))))))))) -> 2(2(1(0(2(1(2(2(0(0(0(1(0(0(1(1(z0)))))))))))))))) 0(2(1(0(0(1(0(2(2(0(0(2(0(0(2(1(z0)))))))))))))))) -> 0(1(2(1(2(0(0(1(1(2(2(2(0(1(1(2(2(2(1(2(z0)))))))))))))))))))) 0(1(0(2(0(1(2(2(0(1(0(0(2(0(1(2(2(z0))))))))))))))))) -> 1(2(2(1(2(1(2(2(1(0(0(0(0(0(0(0(2(z0))))))))))))))))) 0(1(0(2(2(0(2(2(0(2(1(0(2(1(0(0(2(z0))))))))))))))))) -> 1(1(1(0(1(2(2(0(2(2(1(2(2(0(1(0(1(0(z0)))))))))))))))))) 0(2(0(2(2(2(0(1(0(2(0(2(0(2(1(2(0(z0))))))))))))))))) -> 1(0(1(1(0(2(2(0(1(2(1(0(0(1(2(1(0(1(z0)))))))))))))))))) 0(2(0(2(2(1(0(1(2(0(0(2(1(0(2(2(1(1(z0)))))))))))))))))) -> 1(1(1(0(2(0(1(2(0(2(2(0(1(0(1(0(0(1(1(z0))))))))))))))))))) 0(2(2(2(0(1(0(2(0(1(0(0(0(2(2(2(2(0(z0)))))))))))))))))) -> 2(1(2(1(2(0(0(0(2(0(0(1(1(0(2(1(2(0(0(2(z0)))))))))))))))))))) 0(1(0(0(0(0(0(2(2(1(0(2(2(0(2(1(2(2(1(z0))))))))))))))))))) -> 2(1(2(1(1(1(2(1(1(0(2(2(0(1(0(0(2(0(2(1(1(0(1(1(2(1(z0)))))))))))))))))))))))))) 0(1(0(2(0(2(2(1(2(2(1(0(2(0(1(0(2(2(2(z0))))))))))))))))))) -> 0(1(0(2(2(1(1(0(1(2(0(2(1(2(1(2(1(1(1(1(z0)))))))))))))))))))) 0(0(1(0(0(0(2(2(1(0(2(1(2(1(2(2(2(0(0(2(z0)))))))))))))))))))) -> 0(0(2(0(2(1(1(2(0(0(1(1(2(1(1(1(2(1(1(1(1(0(1(z0))))))))))))))))))))))) 0(1(2(1(0(1(0(2(2(2(2(1(0(2(1(0(1(1(1(1(z0)))))))))))))))))))) -> 0(1(1(1(1(0(1(1(2(0(0(2(2(0(1(2(1(1(2(2(z0)))))))))))))))))))) 0(0(1(2(2(2(1(2(2(0(0(0(2(1(2(1(2(1(2(2(2(z0))))))))))))))))))))) -> 1(1(2(1(1(1(1(2(1(1(0(2(1(0(0(2(1(2(1(2(1(0(0(z0))))))))))))))))))))))) 0(0(2(2(0(1(2(0(0(0(1(2(2(2(0(0(1(1(0(2(0(z0))))))))))))))))))))) -> 1(2(1(0(1(1(1(2(1(2(0(2(1(1(2(0(2(2(1(2(0(0(1(1(0(2(z0)))))))))))))))))))))))))) 0(2(2(0(1(0(0(0(2(2(1(0(1(2(0(1(0(1(0(0(0(z0))))))))))))))))))))) -> 0(0(2(1(1(2(1(0(2(0(1(2(1(0(2(1(1(2(2(0(0(1(0(2(z0)))))))))))))))))))))))) 0(2(2(0(1(2(2(2(2(1(2(0(2(1(0(1(0(2(0(1(2(z0))))))))))))))))))))) -> 0(2(0(0(2(1(1(0(1(1(1(0(2(2(2(1(1(1(1(2(0(0(0(z0))))))))))))))))))))))) 0(0(1(2(2(0(1(1(2(0(1(0(0(0(0(1(0(1(2(2(2(1(z0)))))))))))))))))))))) -> 1(1(1(1(2(2(2(0(2(0(2(2(1(0(2(0(2(1(2(1(2(1(1(1(0(1(z0)))))))))))))))))))))))))) 0(0(1(2(0(0(1(0(0(2(0(1(0(1(2(0(2(0(0(2(2(0(2(z0))))))))))))))))))))))) -> 0(0(1(0(1(2(2(0(1(0(0(2(0(1(1(1(0(1(2(1(2(0(0(1(0(1(z0)))))))))))))))))))))))))) 0(1(0(1(1(0(1(1(0(2(2(0(2(1(0(0(2(0(0(1(2(0(2(0(2(z0))))))))))))))))))))))))) -> 1(1(2(1(1(1(1(2(0(2(0(2(1(2(2(0(1(1(2(0(1(1(0(2(2(2(0(z0))))))))))))))))))))))))))) 0(1(2(2(1(0(0(2(1(1(2(0(1(0(2(0(1(0(1(2(2(0(1(1(0(z0))))))))))))))))))))))))) -> 0(1(1(1(2(1(1(2(2(0(0(0(0(1(1(2(0(0(0(2(1(2(1(1(0(1(z0)))))))))))))))))))))))))) 0(0(0(1(0(2(1(2(0(1(2(0(0(2(1(0(2(0(2(2(2(2(0(2(0(0(z0)))))))))))))))))))))))))) -> 0(2(1(0(0(1(0(1(0(0(1(0(1(0(0(2(2(0(1(1(1(1(1(0(1(1(0(2(0(z0))))))))))))))))))))))))))))) 0(0(1(2(2(0(1(2(0(0(0(2(0(2(1(2(0(0(0(2(0(2(2(2(0(1(z0)))))))))))))))))))))))))) -> 1(1(0(1(2(1(2(1(1(1(0(0(1(1(2(2(0(2(0(0(2(0(0(1(1(2(1(z0))))))))))))))))))))))))))) 0(2(0(2(2(2(0(1(1(2(2(2(0(0(1(2(0(2(2(1(2(0(0(1(2(2(z0)))))))))))))))))))))))))) -> 0(1(1(2(1(0(2(1(1(1(1(2(1(1(1(2(1(1(2(0(2(0(2(2(1(2(1(2(0(z0))))))))))))))))))))))))))))) 0(1(0(0(2(0(0(2(2(2(0(1(2(1(1(1(2(0(1(1(0(0(0(1(0(1(0(z0))))))))))))))))))))))))))) -> 0(1(0(0(1(0(1(2(0(2(0(0(2(0(1(2(2(1(1(1(0(1(2(1(0(0(0(z0))))))))))))))))))))))))))) 0(1(1(2(0(0(2(2(0(0(1(2(2(2(1(2(2(2(2(0(2(0(2(0(0(0(1(z0))))))))))))))))))))))))))) -> 0(1(0(1(1(2(0(1(0(1(1(1(0(2(2(0(1(1(0(0(0(2(0(1(1(1(0(0(z0)))))))))))))))))))))))))))) 0(0(0(0(0(1(0(2(2(2(0(0(2(0(1(0(1(2(1(1(0(1(0(2(0(0(1(0(z0)))))))))))))))))))))))))))) -> 1(0(2(1(2(1(2(1(1(2(1(1(1(1(1(1(1(1(0(2(2(1(2(1(1(1(0(1(0(1(z0)))))))))))))))))))))))))))))) 0(0(1(1(2(2(0(1(1(0(1(2(2(0(2(0(2(1(0(0(1(1(0(1(0(0(0(1(1(z0))))))))))))))))))))))))))))) -> 0(1(2(0(1(1(0(1(1(0(2(1(2(1(1(0(2(1(1(2(2(1(1(2(1(2(2(2(0(2(z0)))))))))))))))))))))))))))))) 0(2(2(1(0(1(2(0(1(0(1(2(0(1(1(0(1(2(0(0(2(0(1(2(0(1(1(2(1(z0))))))))))))))))))))))))))))) -> 0(1(2(1(2(1(2(2(2(1(1(0(0(1(2(2(2(2(2(2(2(1(0(0(0(1(2(0(0(1(z0)))))))))))))))))))))))))))))) 2(0(z0)) -> 1(1(0(z0))) 2(0(0(z0))) -> 0(1(2(1(1(z0))))) 2(2(1(z0))) -> 1(1(0(1(1(z0))))) 2(1(0(1(2(0(0(z0))))))) -> 1(1(1(0(1(2(2(1(1(z0))))))))) 2(2(0(0(2(0(0(z0))))))) -> 2(0(1(1(0(0(2(1(1(z0))))))))) 2(2(0(2(1(0(1(z0))))))) -> 0(1(0(1(2(1(1(2(1(1(z0)))))))))) 2(0(2(1(1(2(2(0(z0)))))))) -> 2(0(0(2(2(1(2(1(z0)))))))) 2(1(2(0(1(0(2(2(z0)))))))) -> 2(1(0(1(1(1(2(1(0(z0))))))))) 2(1(0(1(2(1(2(2(2(z0))))))))) -> 1(1(0(1(0(0(1(1(1(1(2(z0))))))))))) 2(2(0(2(1(0(1(0(1(z0))))))))) -> 2(1(1(1(0(2(0(2(0(z0))))))))) 2(0(1(0(0(1(0(0(2(2(z0)))))))))) -> 1(2(2(1(1(2(2(0(2(0(2(1(1(z0))))))))))))) 2(1(0(0(0(0(2(0(0(0(2(0(z0)))))))))))) -> 1(2(1(2(2(0(2(2(1(2(1(1(0(1(1(z0))))))))))))))) 2(0(2(0(1(2(2(0(2(1(0(0(0(z0))))))))))))) -> 1(1(1(1(2(0(1(0(1(0(2(0(1(1(2(1(z0)))))))))))))))) 2(2(2(2(0(0(1(2(2(1(1(0(0(z0))))))))))))) -> 2(2(2(0(0(2(0(1(1(0(1(1(1(1(1(z0))))))))))))))) 2(0(2(0(2(2(0(2(0(1(0(0(0(0(1(2(z0)))))))))))))))) -> 1(1(2(1(0(0(2(1(1(2(1(2(1(1(2(1(2(1(2(2(0(2(z0)))))))))))))))))))))) 2(0(2(2(2(2(1(2(0(1(0(1(0(2(2(1(z0)))))))))))))))) -> 2(1(2(1(2(2(2(0(0(1(2(2(1(0(0(2(z0)))))))))))))))) 2(1(2(0(1(2(1(0(0(2(0(0(2(0(0(1(2(z0))))))))))))))))) -> 1(2(1(2(1(1(2(0(2(0(2(1(1(1(1(0(2(1(1(z0))))))))))))))))))) 2(2(2(2(0(0(1(0(1(1(1(2(0(2(0(2(2(0(0(z0))))))))))))))))))) -> 2(0(0(0(1(1(0(2(2(2(1(2(0(0(1(1(2(1(1(1(2(1(2(z0))))))))))))))))))))))) 2(0(0(2(2(2(1(1(2(2(0(2(1(0(0(0(2(2(1(0(1(z0))))))))))))))))))))) -> 2(1(1(2(1(1(1(0(1(2(2(1(2(0(0(0(2(0(0(1(2(0(z0)))))))))))))))))))))) 2(0(2(2(2(0(0(1(2(2(1(1(2(0(0(0(2(0(0(0(2(z0))))))))))))))))))))) -> 1(1(1(0(1(2(2(1(2(2(2(1(1(1(1(1(1(1(0(2(1(0(1(0(z0)))))))))))))))))))))))) 2(1(2(1(1(2(0(0(1(1(0(1(1(2(1(1(1(1(0(1(2(z0))))))))))))))))))))) -> 1(1(1(1(2(1(0(1(0(1(2(2(1(2(1(1(1(0(0(1(2(z0))))))))))))))))))))) 2(2(0(0(2(1(0(1(0(0(0(0(0(1(0(0(2(0(0(1(1(z0))))))))))))))))))))) -> 2(0(2(0(2(0(0(0(2(2(1(1(2(2(2(1(1(1(1(1(2(1(2(z0))))))))))))))))))))))) 2(2(0(2(1(1(0(1(2(0(1(1(2(0(2(0(1(0(2(0(1(z0))))))))))))))))))))) -> 2(1(2(1(0(1(1(1(1(0(2(2(2(1(2(2(1(2(1(1(0(2(z0)))))))))))))))))))))) 2(0(0(1(1(2(2(2(2(1(2(0(1(2(0(2(2(1(2(2(0(2(z0)))))))))))))))))))))) -> 1(1(1(0(0(2(2(2(1(2(2(0(1(1(1(1(2(1(0(1(1(2(0(2(2(z0))))))))))))))))))))))))) 2(0(1(2(2(0(1(0(0(0(2(1(2(1(2(0(1(1(2(0(1(0(z0)))))))))))))))))))))) -> 0(2(1(1(0(2(1(1(0(1(1(2(2(0(1(2(2(1(0(1(1(1(0(z0))))))))))))))))))))))) 2(2(1(0(1(1(2(0(2(1(1(0(0(1(2(1(2(2(2(0(2(1(z0)))))))))))))))))))))) -> 2(1(1(2(1(2(0(2(1(1(1(1(2(1(1(2(1(1(0(1(1(2(2(1(1(z0))))))))))))))))))))))))) 2(2(2(0(0(1(0(2(0(2(0(0(1(2(1(2(1(2(0(1(1(1(z0)))))))))))))))))))))) -> 1(1(2(1(2(1(2(1(2(1(0(2(0(1(1(0(1(0(0(2(0(2(1(2(1(z0))))))))))))))))))))))))) 2(2(1(2(0(0(0(0(1(2(1(0(1(0(2(0(1(0(0(1(2(0(2(z0))))))))))))))))))))))) -> 2(1(1(2(2(2(2(1(0(1(2(0(1(1(1(1(1(2(1(2(1(1(0(2(1(1(0(0(2(z0))))))))))))))))))))))))))))) 2(1(1(2(0(0(0(2(0(2(2(2(2(0(1(0(1(0(2(2(1(1(1(2(z0)))))))))))))))))))))))) -> 2(1(1(2(1(1(2(1(2(1(2(0(1(1(0(0(0(1(1(1(2(1(2(1(1(z0))))))))))))))))))))))))) 2(1(2(2(0(0(2(0(0(0(1(1(2(0(1(1(2(2(2(0(0(0(2(1(2(1(z0)))))))))))))))))))))))))) -> 1(1(0(0(0(1(1(0(2(0(1(2(1(1(1(1(2(1(1(1(1(2(1(0(1(2(2(1(z0)))))))))))))))))))))))))))) 2(2(0(2(1(2(0(2(0(2(0(0(0(2(1(2(2(0(1(0(1(0(1(0(1(0(z0)))))))))))))))))))))))))) -> 1(1(0(1(2(1(0(2(2(2(0(1(2(1(1(1(2(2(2(2(1(2(2(1(0(2(2(2(0(z0))))))))))))))))))))))))))))) 2(2(2(0(0(1(0(1(2(0(0(0(2(0(2(2(0(1(0(0(2(1(2(2(2(2(z0)))))))))))))))))))))))))) -> 2(1(2(1(0(1(2(0(1(0(2(2(0(1(1(2(0(1(2(2(2(2(0(0(0(1(2(z0))))))))))))))))))))))))))) 2(2(2(2(0(1(1(2(0(2(0(1(1(2(0(1(2(1(1(2(2(1(2(1(2(2(z0)))))))))))))))))))))))))) -> 2(0(0(1(1(2(2(1(1(1(1(0(1(2(1(2(1(1(2(1(2(2(1(0(2(1(1(0(2(z0))))))))))))))))))))))))))))) 2(0(2(0(1(2(0(1(0(2(2(2(0(1(1(0(0(1(1(2(2(2(1(0(1(2(1(z0))))))))))))))))))))))))))) -> 2(1(0(1(1(1(1(2(1(2(0(2(0(1(2(2(0(2(1(2(1(1(2(0(2(2(1(0(z0)))))))))))))))))))))))))))) 2(2(2(0(2(1(2(2(1(0(1(1(1(0(1(2(1(1(2(1(2(0(1(0(2(2(1(z0))))))))))))))))))))))))))) -> 0(1(0(1(2(1(2(2(1(2(1(2(1(0(2(1(2(2(1(1(2(1(1(0(2(0(2(z0))))))))))))))))))))))))))) 2(0(1(1(1(0(0(0(0(2(0(1(2(0(1(0(1(2(2(0(2(2(2(0(2(1(0(0(z0)))))))))))))))))))))))))))) -> 1(1(0(1(1(2(2(1(2(1(0(2(0(0(2(1(1(1(1(2(0(1(0(1(1(1(1(2(1(1(z0)))))))))))))))))))))))))))))) 2(2(2(2(2(1(0(2(2(0(2(1(0(0(1(1(2(1(1(1(1(2(2(0(0(2(2(0(z0)))))))))))))))))))))))))))) -> 2(1(1(0(1(1(2(2(2(2(2(1(1(1(0(2(1(0(1(1(0(2(2(1(0(2(1(1(1(2(z0)))))))))))))))))))))))))))))) 2(1(1(2(1(1(1(0(2(1(1(2(1(1(2(2(1(1(2(0(1(0(1(2(0(1(0(0(1(z0))))))))))))))))))))))))))))) -> 2(2(1(1(1(0(1(2(1(0(1(2(1(1(1(2(1(0(2(0(1(2(1(0(0(1(1(2(1(z0))))))))))))))))))))))))))))) 1(1(2(2(0(1(0(1(1(z0))))))))) -> 1(1(1(0(1(1(0(1(1(1(1(z0))))))))))) 1(0(1(1(0(2(2(0(2(0(z0)))))))))) -> 1(1(0(2(2(1(0(2(0(0(z0)))))))))) 1(0(1(2(2(0(0(2(2(1(z0)))))))))) -> 1(0(1(2(0(1(0(1(1(1(1(2(z0)))))))))))) 1(2(2(2(2(0(2(1(0(0(0(z0))))))))))) -> 2(1(1(2(0(1(0(0(1(0(1(1(z0)))))))))))) 1(0(0(0(2(1(0(0(0(2(0(2(2(0(2(z0))))))))))))))) -> 1(1(1(0(0(2(1(0(1(2(1(0(0(0(0(2(z0)))))))))))))))) 1(0(1(2(0(1(1(0(2(1(0(2(0(1(0(z0))))))))))))))) -> 1(0(0(1(1(1(2(1(0(2(0(1(0(1(1(1(0(z0))))))))))))))))) 1(1(0(1(0(2(1(0(2(0(1(2(2(2(2(1(1(z0))))))))))))))))) -> 1(1(2(2(1(1(0(0(2(0(0(1(1(0(2(2(1(1(z0)))))))))))))))))) 1(2(2(2(0(2(1(2(0(1(0(2(1(0(2(1(0(z0))))))))))))))))) -> 1(1(1(2(1(0(1(1(2(2(0(1(2(1(2(1(0(0(2(1(2(1(2(z0))))))))))))))))))))))) 1(0(1(1(2(0(1(1(0(0(2(1(0(0(2(2(0(0(0(z0))))))))))))))))))) -> 2(1(1(0(1(1(2(1(2(2(2(2(1(1(1(1(2(1(1(2(0(0(2(1(z0)))))))))))))))))))))))) 1(0(1(2(0(1(0(2(2(1(0(1(0(0(2(2(2(0(0(z0))))))))))))))))))) -> 1(0(2(1(1(1(1(0(2(1(0(1(2(0(0(2(1(1(0(0(1(1(0(2(z0)))))))))))))))))))))))) 1(2(0(2(2(0(0(1(0(0(2(0(2(2(1(0(1(0(2(z0))))))))))))))))))) -> 2(2(1(2(1(0(2(1(2(2(1(2(2(0(2(2(0(2(0(0(1(1(1(z0))))))))))))))))))))))) 1(1(0(0(1(2(1(0(0(1(1(2(1(0(0(0(1(2(1(2(z0)))))))))))))))))))) -> 2(2(1(2(1(2(1(0(0(1(1(1(2(1(1(1(1(1(1(1(1(2(1(z0))))))))))))))))))))))) 1(1(0(2(2(0(0(0(2(1(2(1(0(1(0(0(0(0(0(1(z0)))))))))))))))))))) -> 1(2(1(1(2(1(0(0(1(2(1(2(1(2(2(2(1(0(2(1(0(0(z0)))))))))))))))))))))) 1(0(0(0(1(2(1(2(0(2(0(0(1(0(0(0(1(2(1(0(2(z0))))))))))))))))))))) -> 2(2(2(2(1(1(2(1(0(1(0(2(2(1(0(0(1(1(1(1(0(1(0(z0))))))))))))))))))))))) 1(0(2(1(1(1(1(0(0(2(2(0(1(0(1(0(2(2(0(0(0(z0))))))))))))))))))))) -> 1(1(1(1(0(2(1(2(2(1(1(1(0(2(2(1(2(2(1(0(1(2(z0)))))))))))))))))))))) 1(0(1(1(0(0(1(1(1(0(2(2(0(1(0(0(1(2(0(0(2(0(z0)))))))))))))))))))))) -> 1(1(1(2(2(0(2(1(2(0(2(0(0(0(1(2(1(2(1(2(0(2(1(z0))))))))))))))))))))))) 1(2(0(2(1(2(0(0(0(0(0(0(2(2(1(0(2(2(0(2(1(0(0(1(z0)))))))))))))))))))))))) -> 1(0(1(0(0(2(2(1(1(2(0(2(2(0(0(2(0(1(0(1(1(1(1(2(2(2(1(z0))))))))))))))))))))))))))) 1(2(2(1(2(0(1(2(0(1(2(1(0(0(0(2(2(2(0(2(2(0(2(1(z0)))))))))))))))))))))))) -> 2(1(0(2(0(2(1(1(1(1(2(0(0(1(0(2(1(0(2(0(2(0(1(1(2(z0))))))))))))))))))))))))) 1(0(1(0(0(0(2(0(1(2(0(2(0(2(0(1(0(2(2(0(0(1(0(1(1(z0))))))))))))))))))))))))) -> 1(2(0(0(2(0(1(0(1(0(2(2(1(1(0(0(0(1(2(1(1(1(1(0(2(1(z0)))))))))))))))))))))))))) 1(1(0(2(0(1(2(1(0(0(1(0(0(2(1(0(2(0(1(0(0(0(1(0(1(z0))))))))))))))))))))))))) -> 2(1(0(2(0(0(1(1(2(2(1(2(0(2(2(1(2(1(2(2(1(0(2(1(2(1(z0)))))))))))))))))))))))))) 1(0(1(1(1(2(2(1(0(1(0(2(1(1(0(2(1(0(1(2(1(0(2(2(1(0(0(z0))))))))))))))))))))))))))) -> 2(2(2(2(1(2(1(1(1(2(2(2(1(2(2(2(1(1(0(1(1(2(1(0(2(2(1(1(z0)))))))))))))))))))))))))))) 1(2(2(1(1(2(2(1(1(2(1(2(2(0(0(1(2(1(0(1(1(0(1(0(0(2(2(0(z0)))))))))))))))))))))))))))) -> 1(2(1(2(1(0(1(2(2(2(1(2(0(0(0(2(1(0(0(1(1(1(0(0(1(1(1(1(1(0(z0)))))))))))))))))))))))))))))) Tuples: ENCARG(cons_0(z0)) -> c(0'(encArg(z0)), ENCARG(z0)) ENCARG(cons_2(z0)) -> c1(2'(encArg(z0)), ENCARG(z0)) ENCARG(cons_1(z0)) -> c2(1'(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(1'(1(z0)), 1'(z0)) 2'(2(1(z0))) -> c58(1'(1(0(1(1(z0))))), 1'(0(1(1(z0)))), 0'(1(1(z0))), 1'(1(z0)), 1'(z0)) S tuples: 0'(z0) -> c6(1'(1(z0)), 1'(z0)) 2'(2(1(z0))) -> c58(1'(1(0(1(1(z0))))), 1'(0(1(1(z0)))), 0'(1(1(z0))), 1'(1(z0)), 1'(z0)) K tuples:none Defined Rule Symbols: 0_1, 2_1, 1_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, 2'_1 Compound Symbols: c_2, c1_2, c2_2, c3_2, c4_2, c5_2, c6_2, c58_5 ---------------------------------------- (9) CdtRhsSimplificationProcessorProof (BOTH BOUNDS(ID, ID)) Removed 8 trailing tuple parts ---------------------------------------- (10) Obligation: Complexity Dependency Tuples Problem Rules: encArg(cons_0(z0)) -> 0(encArg(z0)) encArg(cons_2(z0)) -> 2(encArg(z0)) encArg(cons_1(z0)) -> 1(encArg(z0)) encode_0(z0) -> 0(encArg(z0)) encode_1(z0) -> 1(encArg(z0)) encode_2(z0) -> 2(encArg(z0)) 0(z0) -> 1(1(z0)) 0(0(z0)) -> 1(1(2(z0))) 0(2(0(0(z0)))) -> 0(2(1(1(1(1(1(1(1(1(z0)))))))))) 0(0(2(0(2(z0))))) -> 1(2(2(1(1(2(2(1(1(z0))))))))) 0(2(0(2(0(0(z0)))))) -> 0(1(2(2(1(2(0(z0))))))) 0(0(0(0(2(0(1(2(z0)))))))) -> 1(1(1(2(1(1(1(0(0(0(2(z0))))))))))) 0(0(2(1(0(2(2(1(z0)))))))) -> 1(1(0(1(0(2(1(1(1(0(z0)))))))))) 0(2(0(1(2(0(1(1(2(z0))))))))) -> 1(2(2(1(1(1(2(2(1(0(z0)))))))))) 0(0(1(0(2(2(0(1(2(0(z0)))))))))) -> 2(2(2(1(1(1(1(2(2(1(2(2(2(1(2(z0))))))))))))))) 0(1(1(0(0(2(0(1(2(2(z0)))))))))) -> 1(1(2(1(1(2(1(1(0(0(0(2(1(z0))))))))))))) 0(0(0(1(2(1(2(1(2(0(1(z0))))))))))) -> 1(2(2(1(0(0(1(1(2(2(1(2(z0)))))))))))) 0(0(2(0(0(1(0(1(1(1(2(z0))))))))))) -> 1(2(1(1(1(0(2(1(0(1(2(2(1(z0))))))))))))) 0(0(2(0(2(2(2(2(2(2(0(z0))))))))))) -> 0(2(0(1(0(0(1(1(1(1(2(1(z0)))))))))))) 0(1(2(0(2(1(0(0(0(0(1(z0))))))))))) -> 2(2(1(2(0(1(2(1(2(0(1(2(z0)))))))))))) 0(2(0(2(2(0(2(0(0(0(2(z0))))))))))) -> 0(1(1(0(2(2(1(1(1(0(1(2(0(2(z0)))))))))))))) 0(1(0(1(0(2(1(1(2(0(2(0(z0)))))))))))) -> 1(1(1(1(0(2(1(1(2(1(2(2(2(2(1(1(z0)))))))))))))))) 0(1(1(2(0(2(0(2(2(2(1(0(z0)))))))))))) -> 2(0(1(0(0(1(1(0(1(1(0(2(0(z0))))))))))))) 0(1(1(2(2(1(1(2(2(0(0(0(z0)))))))))))) -> 2(2(1(1(2(1(1(1(2(1(1(0(2(1(z0)))))))))))))) 0(1(2(0(1(1(0(1(2(2(0(0(z0)))))))))))) -> 1(1(1(1(0(1(2(0(0(2(1(0(2(1(z0)))))))))))))) 0(1(2(2(0(0(1(2(2(0(0(0(z0)))))))))))) -> 1(1(2(2(2(2(0(2(1(2(1(0(1(z0))))))))))))) 0(1(2(2(0(1(1(0(2(0(0(0(z0)))))))))))) -> 1(2(1(2(1(2(0(2(0(2(1(1(0(z0))))))))))))) 0(0(1(0(1(1(1(0(1(0(2(0(0(1(z0)))))))))))))) -> 1(2(1(1(1(1(0(1(1(0(0(2(1(0(0(0(z0)))))))))))))))) 0(2(2(1(0(1(0(2(1(2(2(1(1(2(z0)))))))))))))) -> 2(1(1(2(2(1(0(1(2(1(2(1(2(1(0(z0))))))))))))))) 0(2(2(0(1(0(0(2(2(2(1(2(2(2(2(z0))))))))))))))) -> 2(2(1(0(2(1(2(2(0(0(0(1(0(0(1(1(z0)))))))))))))))) 0(2(1(0(0(1(0(2(2(0(0(2(0(0(2(1(z0)))))))))))))))) -> 0(1(2(1(2(0(0(1(1(2(2(2(0(1(1(2(2(2(1(2(z0)))))))))))))))))))) 0(1(0(2(0(1(2(2(0(1(0(0(2(0(1(2(2(z0))))))))))))))))) -> 1(2(2(1(2(1(2(2(1(0(0(0(0(0(0(0(2(z0))))))))))))))))) 0(1(0(2(2(0(2(2(0(2(1(0(2(1(0(0(2(z0))))))))))))))))) -> 1(1(1(0(1(2(2(0(2(2(1(2(2(0(1(0(1(0(z0)))))))))))))))))) 0(2(0(2(2(2(0(1(0(2(0(2(0(2(1(2(0(z0))))))))))))))))) -> 1(0(1(1(0(2(2(0(1(2(1(0(0(1(2(1(0(1(z0)))))))))))))))))) 0(2(0(2(2(1(0(1(2(0(0(2(1(0(2(2(1(1(z0)))))))))))))))))) -> 1(1(1(0(2(0(1(2(0(2(2(0(1(0(1(0(0(1(1(z0))))))))))))))))))) 0(2(2(2(0(1(0(2(0(1(0(0(0(2(2(2(2(0(z0)))))))))))))))))) -> 2(1(2(1(2(0(0(0(2(0(0(1(1(0(2(1(2(0(0(2(z0)))))))))))))))))))) 0(1(0(0(0(0(0(2(2(1(0(2(2(0(2(1(2(2(1(z0))))))))))))))))))) -> 2(1(2(1(1(1(2(1(1(0(2(2(0(1(0(0(2(0(2(1(1(0(1(1(2(1(z0)))))))))))))))))))))))))) 0(1(0(2(0(2(2(1(2(2(1(0(2(0(1(0(2(2(2(z0))))))))))))))))))) -> 0(1(0(2(2(1(1(0(1(2(0(2(1(2(1(2(1(1(1(1(z0)))))))))))))))))))) 0(0(1(0(0(0(2(2(1(0(2(1(2(1(2(2(2(0(0(2(z0)))))))))))))))))))) -> 0(0(2(0(2(1(1(2(0(0(1(1(2(1(1(1(2(1(1(1(1(0(1(z0))))))))))))))))))))))) 0(1(2(1(0(1(0(2(2(2(2(1(0(2(1(0(1(1(1(1(z0)))))))))))))))))))) -> 0(1(1(1(1(0(1(1(2(0(0(2(2(0(1(2(1(1(2(2(z0)))))))))))))))))))) 0(0(1(2(2(2(1(2(2(0(0(0(2(1(2(1(2(1(2(2(2(z0))))))))))))))))))))) -> 1(1(2(1(1(1(1(2(1(1(0(2(1(0(0(2(1(2(1(2(1(0(0(z0))))))))))))))))))))))) 0(0(2(2(0(1(2(0(0(0(1(2(2(2(0(0(1(1(0(2(0(z0))))))))))))))))))))) -> 1(2(1(0(1(1(1(2(1(2(0(2(1(1(2(0(2(2(1(2(0(0(1(1(0(2(z0)))))))))))))))))))))))))) 0(2(2(0(1(0(0(0(2(2(1(0(1(2(0(1(0(1(0(0(0(z0))))))))))))))))))))) -> 0(0(2(1(1(2(1(0(2(0(1(2(1(0(2(1(1(2(2(0(0(1(0(2(z0)))))))))))))))))))))))) 0(2(2(0(1(2(2(2(2(1(2(0(2(1(0(1(0(2(0(1(2(z0))))))))))))))))))))) -> 0(2(0(0(2(1(1(0(1(1(1(0(2(2(2(1(1(1(1(2(0(0(0(z0))))))))))))))))))))))) 0(0(1(2(2(0(1(1(2(0(1(0(0(0(0(1(0(1(2(2(2(1(z0)))))))))))))))))))))) -> 1(1(1(1(2(2(2(0(2(0(2(2(1(0(2(0(2(1(2(1(2(1(1(1(0(1(z0)))))))))))))))))))))))))) 0(0(1(2(0(0(1(0(0(2(0(1(0(1(2(0(2(0(0(2(2(0(2(z0))))))))))))))))))))))) -> 0(0(1(0(1(2(2(0(1(0(0(2(0(1(1(1(0(1(2(1(2(0(0(1(0(1(z0)))))))))))))))))))))))))) 0(1(0(1(1(0(1(1(0(2(2(0(2(1(0(0(2(0(0(1(2(0(2(0(2(z0))))))))))))))))))))))))) -> 1(1(2(1(1(1(1(2(0(2(0(2(1(2(2(0(1(1(2(0(1(1(0(2(2(2(0(z0))))))))))))))))))))))))))) 0(1(2(2(1(0(0(2(1(1(2(0(1(0(2(0(1(0(1(2(2(0(1(1(0(z0))))))))))))))))))))))))) -> 0(1(1(1(2(1(1(2(2(0(0(0(0(1(1(2(0(0(0(2(1(2(1(1(0(1(z0)))))))))))))))))))))))))) 0(0(0(1(0(2(1(2(0(1(2(0(0(2(1(0(2(0(2(2(2(2(0(2(0(0(z0)))))))))))))))))))))))))) -> 0(2(1(0(0(1(0(1(0(0(1(0(1(0(0(2(2(0(1(1(1(1(1(0(1(1(0(2(0(z0))))))))))))))))))))))))))))) 0(0(1(2(2(0(1(2(0(0(0(2(0(2(1(2(0(0(0(2(0(2(2(2(0(1(z0)))))))))))))))))))))))))) -> 1(1(0(1(2(1(2(1(1(1(0(0(1(1(2(2(0(2(0(0(2(0(0(1(1(2(1(z0))))))))))))))))))))))))))) 0(2(0(2(2(2(0(1(1(2(2(2(0(0(1(2(0(2(2(1(2(0(0(1(2(2(z0)))))))))))))))))))))))))) -> 0(1(1(2(1(0(2(1(1(1(1(2(1(1(1(2(1(1(2(0(2(0(2(2(1(2(1(2(0(z0))))))))))))))))))))))))))))) 0(1(0(0(2(0(0(2(2(2(0(1(2(1(1(1(2(0(1(1(0(0(0(1(0(1(0(z0))))))))))))))))))))))))))) -> 0(1(0(0(1(0(1(2(0(2(0(0(2(0(1(2(2(1(1(1(0(1(2(1(0(0(0(z0))))))))))))))))))))))))))) 0(1(1(2(0(0(2(2(0(0(1(2(2(2(1(2(2(2(2(0(2(0(2(0(0(0(1(z0))))))))))))))))))))))))))) -> 0(1(0(1(1(2(0(1(0(1(1(1(0(2(2(0(1(1(0(0(0(2(0(1(1(1(0(0(z0)))))))))))))))))))))))))))) 0(0(0(0(0(1(0(2(2(2(0(0(2(0(1(0(1(2(1(1(0(1(0(2(0(0(1(0(z0)))))))))))))))))))))))))))) -> 1(0(2(1(2(1(2(1(1(2(1(1(1(1(1(1(1(1(0(2(2(1(2(1(1(1(0(1(0(1(z0)))))))))))))))))))))))))))))) 0(0(1(1(2(2(0(1(1(0(1(2(2(0(2(0(2(1(0(0(1(1(0(1(0(0(0(1(1(z0))))))))))))))))))))))))))))) -> 0(1(2(0(1(1(0(1(1(0(2(1(2(1(1(0(2(1(1(2(2(1(1(2(1(2(2(2(0(2(z0)))))))))))))))))))))))))))))) 0(2(2(1(0(1(2(0(1(0(1(2(0(1(1(0(1(2(0(0(2(0(1(2(0(1(1(2(1(z0))))))))))))))))))))))))))))) -> 0(1(2(1(2(1(2(2(2(1(1(0(0(1(2(2(2(2(2(2(2(1(0(0(0(1(2(0(0(1(z0)))))))))))))))))))))))))))))) 2(0(z0)) -> 1(1(0(z0))) 2(0(0(z0))) -> 0(1(2(1(1(z0))))) 2(2(1(z0))) -> 1(1(0(1(1(z0))))) 2(1(0(1(2(0(0(z0))))))) -> 1(1(1(0(1(2(2(1(1(z0))))))))) 2(2(0(0(2(0(0(z0))))))) -> 2(0(1(1(0(0(2(1(1(z0))))))))) 2(2(0(2(1(0(1(z0))))))) -> 0(1(0(1(2(1(1(2(1(1(z0)))))))))) 2(0(2(1(1(2(2(0(z0)))))))) -> 2(0(0(2(2(1(2(1(z0)))))))) 2(1(2(0(1(0(2(2(z0)))))))) -> 2(1(0(1(1(1(2(1(0(z0))))))))) 2(1(0(1(2(1(2(2(2(z0))))))))) -> 1(1(0(1(0(0(1(1(1(1(2(z0))))))))))) 2(2(0(2(1(0(1(0(1(z0))))))))) -> 2(1(1(1(0(2(0(2(0(z0))))))))) 2(0(1(0(0(1(0(0(2(2(z0)))))))))) -> 1(2(2(1(1(2(2(0(2(0(2(1(1(z0))))))))))))) 2(1(0(0(0(0(2(0(0(0(2(0(z0)))))))))))) -> 1(2(1(2(2(0(2(2(1(2(1(1(0(1(1(z0))))))))))))))) 2(0(2(0(1(2(2(0(2(1(0(0(0(z0))))))))))))) -> 1(1(1(1(2(0(1(0(1(0(2(0(1(1(2(1(z0)))))))))))))))) 2(2(2(2(0(0(1(2(2(1(1(0(0(z0))))))))))))) -> 2(2(2(0(0(2(0(1(1(0(1(1(1(1(1(z0))))))))))))))) 2(0(2(0(2(2(0(2(0(1(0(0(0(0(1(2(z0)))))))))))))))) -> 1(1(2(1(0(0(2(1(1(2(1(2(1(1(2(1(2(1(2(2(0(2(z0)))))))))))))))))))))) 2(0(2(2(2(2(1(2(0(1(0(1(0(2(2(1(z0)))))))))))))))) -> 2(1(2(1(2(2(2(0(0(1(2(2(1(0(0(2(z0)))))))))))))))) 2(1(2(0(1(2(1(0(0(2(0(0(2(0(0(1(2(z0))))))))))))))))) -> 1(2(1(2(1(1(2(0(2(0(2(1(1(1(1(0(2(1(1(z0))))))))))))))))))) 2(2(2(2(0(0(1(0(1(1(1(2(0(2(0(2(2(0(0(z0))))))))))))))))))) -> 2(0(0(0(1(1(0(2(2(2(1(2(0(0(1(1(2(1(1(1(2(1(2(z0))))))))))))))))))))))) 2(0(0(2(2(2(1(1(2(2(0(2(1(0(0(0(2(2(1(0(1(z0))))))))))))))))))))) -> 2(1(1(2(1(1(1(0(1(2(2(1(2(0(0(0(2(0(0(1(2(0(z0)))))))))))))))))))))) 2(0(2(2(2(0(0(1(2(2(1(1(2(0(0(0(2(0(0(0(2(z0))))))))))))))))))))) -> 1(1(1(0(1(2(2(1(2(2(2(1(1(1(1(1(1(1(0(2(1(0(1(0(z0)))))))))))))))))))))))) 2(1(2(1(1(2(0(0(1(1(0(1(1(2(1(1(1(1(0(1(2(z0))))))))))))))))))))) -> 1(1(1(1(2(1(0(1(0(1(2(2(1(2(1(1(1(0(0(1(2(z0))))))))))))))))))))) 2(2(0(0(2(1(0(1(0(0(0(0(0(1(0(0(2(0(0(1(1(z0))))))))))))))))))))) -> 2(0(2(0(2(0(0(0(2(2(1(1(2(2(2(1(1(1(1(1(2(1(2(z0))))))))))))))))))))))) 2(2(0(2(1(1(0(1(2(0(1(1(2(0(2(0(1(0(2(0(1(z0))))))))))))))))))))) -> 2(1(2(1(0(1(1(1(1(0(2(2(2(1(2(2(1(2(1(1(0(2(z0)))))))))))))))))))))) 2(0(0(1(1(2(2(2(2(1(2(0(1(2(0(2(2(1(2(2(0(2(z0)))))))))))))))))))))) -> 1(1(1(0(0(2(2(2(1(2(2(0(1(1(1(1(2(1(0(1(1(2(0(2(2(z0))))))))))))))))))))))))) 2(0(1(2(2(0(1(0(0(0(2(1(2(1(2(0(1(1(2(0(1(0(z0)))))))))))))))))))))) -> 0(2(1(1(0(2(1(1(0(1(1(2(2(0(1(2(2(1(0(1(1(1(0(z0))))))))))))))))))))))) 2(2(1(0(1(1(2(0(2(1(1(0(0(1(2(1(2(2(2(0(2(1(z0)))))))))))))))))))))) -> 2(1(1(2(1(2(0(2(1(1(1(1(2(1(1(2(1(1(0(1(1(2(2(1(1(z0))))))))))))))))))))))))) 2(2(2(0(0(1(0(2(0(2(0(0(1(2(1(2(1(2(0(1(1(1(z0)))))))))))))))))))))) -> 1(1(2(1(2(1(2(1(2(1(0(2(0(1(1(0(1(0(0(2(0(2(1(2(1(z0))))))))))))))))))))))))) 2(2(1(2(0(0(0(0(1(2(1(0(1(0(2(0(1(0(0(1(2(0(2(z0))))))))))))))))))))))) -> 2(1(1(2(2(2(2(1(0(1(2(0(1(1(1(1(1(2(1(2(1(1(0(2(1(1(0(0(2(z0))))))))))))))))))))))))))))) 2(1(1(2(0(0(0(2(0(2(2(2(2(0(1(0(1(0(2(2(1(1(1(2(z0)))))))))))))))))))))))) -> 2(1(1(2(1(1(2(1(2(1(2(0(1(1(0(0(0(1(1(1(2(1(2(1(1(z0))))))))))))))))))))))))) 2(1(2(2(0(0(2(0(0(0(1(1(2(0(1(1(2(2(2(0(0(0(2(1(2(1(z0)))))))))))))))))))))))))) -> 1(1(0(0(0(1(1(0(2(0(1(2(1(1(1(1(2(1(1(1(1(2(1(0(1(2(2(1(z0)))))))))))))))))))))))))))) 2(2(0(2(1(2(0(2(0(2(0(0(0(2(1(2(2(0(1(0(1(0(1(0(1(0(z0)))))))))))))))))))))))))) -> 1(1(0(1(2(1(0(2(2(2(0(1(2(1(1(1(2(2(2(2(1(2(2(1(0(2(2(2(0(z0))))))))))))))))))))))))))))) 2(2(2(0(0(1(0(1(2(0(0(0(2(0(2(2(0(1(0(0(2(1(2(2(2(2(z0)))))))))))))))))))))))))) -> 2(1(2(1(0(1(2(0(1(0(2(2(0(1(1(2(0(1(2(2(2(2(0(0(0(1(2(z0))))))))))))))))))))))))))) 2(2(2(2(0(1(1(2(0(2(0(1(1(2(0(1(2(1(1(2(2(1(2(1(2(2(z0)))))))))))))))))))))))))) -> 2(0(0(1(1(2(2(1(1(1(1(0(1(2(1(2(1(1(2(1(2(2(1(0(2(1(1(0(2(z0))))))))))))))))))))))))))))) 2(0(2(0(1(2(0(1(0(2(2(2(0(1(1(0(0(1(1(2(2(2(1(0(1(2(1(z0))))))))))))))))))))))))))) -> 2(1(0(1(1(1(1(2(1(2(0(2(0(1(2(2(0(2(1(2(1(1(2(0(2(2(1(0(z0)))))))))))))))))))))))))))) 2(2(2(0(2(1(2(2(1(0(1(1(1(0(1(2(1(1(2(1(2(0(1(0(2(2(1(z0))))))))))))))))))))))))))) -> 0(1(0(1(2(1(2(2(1(2(1(2(1(0(2(1(2(2(1(1(2(1(1(0(2(0(2(z0))))))))))))))))))))))))))) 2(0(1(1(1(0(0(0(0(2(0(1(2(0(1(0(1(2(2(0(2(2(2(0(2(1(0(0(z0)))))))))))))))))))))))))))) -> 1(1(0(1(1(2(2(1(2(1(0(2(0(0(2(1(1(1(1(2(0(1(0(1(1(1(1(2(1(1(z0)))))))))))))))))))))))))))))) 2(2(2(2(2(1(0(2(2(0(2(1(0(0(1(1(2(1(1(1(1(2(2(0(0(2(2(0(z0)))))))))))))))))))))))))))) -> 2(1(1(0(1(1(2(2(2(2(2(1(1(1(0(2(1(0(1(1(0(2(2(1(0(2(1(1(1(2(z0)))))))))))))))))))))))))))))) 2(1(1(2(1(1(1(0(2(1(1(2(1(1(2(2(1(1(2(0(1(0(1(2(0(1(0(0(1(z0))))))))))))))))))))))))))))) -> 2(2(1(1(1(0(1(2(1(0(1(2(1(1(1(2(1(0(2(0(1(2(1(0(0(1(1(2(1(z0))))))))))))))))))))))))))))) 1(1(2(2(0(1(0(1(1(z0))))))))) -> 1(1(1(0(1(1(0(1(1(1(1(z0))))))))))) 1(0(1(1(0(2(2(0(2(0(z0)))))))))) -> 1(1(0(2(2(1(0(2(0(0(z0)))))))))) 1(0(1(2(2(0(0(2(2(1(z0)))))))))) -> 1(0(1(2(0(1(0(1(1(1(1(2(z0)))))))))))) 1(2(2(2(2(0(2(1(0(0(0(z0))))))))))) -> 2(1(1(2(0(1(0(0(1(0(1(1(z0)))))))))))) 1(0(0(0(2(1(0(0(0(2(0(2(2(0(2(z0))))))))))))))) -> 1(1(1(0(0(2(1(0(1(2(1(0(0(0(0(2(z0)))))))))))))))) 1(0(1(2(0(1(1(0(2(1(0(2(0(1(0(z0))))))))))))))) -> 1(0(0(1(1(1(2(1(0(2(0(1(0(1(1(1(0(z0))))))))))))))))) 1(1(0(1(0(2(1(0(2(0(1(2(2(2(2(1(1(z0))))))))))))))))) -> 1(1(2(2(1(1(0(0(2(0(0(1(1(0(2(2(1(1(z0)))))))))))))))))) 1(2(2(2(0(2(1(2(0(1(0(2(1(0(2(1(0(z0))))))))))))))))) -> 1(1(1(2(1(0(1(1(2(2(0(1(2(1(2(1(0(0(2(1(2(1(2(z0))))))))))))))))))))))) 1(0(1(1(2(0(1(1(0(0(2(1(0(0(2(2(0(0(0(z0))))))))))))))))))) -> 2(1(1(0(1(1(2(1(2(2(2(2(1(1(1(1(2(1(1(2(0(0(2(1(z0)))))))))))))))))))))))) 1(0(1(2(0(1(0(2(2(1(0(1(0(0(2(2(2(0(0(z0))))))))))))))))))) -> 1(0(2(1(1(1(1(0(2(1(0(1(2(0(0(2(1(1(0(0(1(1(0(2(z0)))))))))))))))))))))))) 1(2(0(2(2(0(0(1(0(0(2(0(2(2(1(0(1(0(2(z0))))))))))))))))))) -> 2(2(1(2(1(0(2(1(2(2(1(2(2(0(2(2(0(2(0(0(1(1(1(z0))))))))))))))))))))))) 1(1(0(0(1(2(1(0(0(1(1(2(1(0(0(0(1(2(1(2(z0)))))))))))))))))))) -> 2(2(1(2(1(2(1(0(0(1(1(1(2(1(1(1(1(1(1(1(1(2(1(z0))))))))))))))))))))))) 1(1(0(2(2(0(0(0(2(1(2(1(0(1(0(0(0(0(0(1(z0)))))))))))))))))))) -> 1(2(1(1(2(1(0(0(1(2(1(2(1(2(2(2(1(0(2(1(0(0(z0)))))))))))))))))))))) 1(0(0(0(1(2(1(2(0(2(0(0(1(0(0(0(1(2(1(0(2(z0))))))))))))))))))))) -> 2(2(2(2(1(1(2(1(0(1(0(2(2(1(0(0(1(1(1(1(0(1(0(z0))))))))))))))))))))))) 1(0(2(1(1(1(1(0(0(2(2(0(1(0(1(0(2(2(0(0(0(z0))))))))))))))))))))) -> 1(1(1(1(0(2(1(2(2(1(1(1(0(2(2(1(2(2(1(0(1(2(z0)))))))))))))))))))))) 1(0(1(1(0(0(1(1(1(0(2(2(0(1(0(0(1(2(0(0(2(0(z0)))))))))))))))))))))) -> 1(1(1(2(2(0(2(1(2(0(2(0(0(0(1(2(1(2(1(2(0(2(1(z0))))))))))))))))))))))) 1(2(0(2(1(2(0(0(0(0(0(0(2(2(1(0(2(2(0(2(1(0(0(1(z0)))))))))))))))))))))))) -> 1(0(1(0(0(2(2(1(1(2(0(2(2(0(0(2(0(1(0(1(1(1(1(2(2(2(1(z0))))))))))))))))))))))))))) 1(2(2(1(2(0(1(2(0(1(2(1(0(0(0(2(2(2(0(2(2(0(2(1(z0)))))))))))))))))))))))) -> 2(1(0(2(0(2(1(1(1(1(2(0(0(1(0(2(1(0(2(0(2(0(1(1(2(z0))))))))))))))))))))))))) 1(0(1(0(0(0(2(0(1(2(0(2(0(2(0(1(0(2(2(0(0(1(0(1(1(z0))))))))))))))))))))))))) -> 1(2(0(0(2(0(1(0(1(0(2(2(1(1(0(0(0(1(2(1(1(1(1(0(2(1(z0)))))))))))))))))))))))))) 1(1(0(2(0(1(2(1(0(0(1(0(0(2(1(0(2(0(1(0(0(0(1(0(1(z0))))))))))))))))))))))))) -> 2(1(0(2(0(0(1(1(2(2(1(2(0(2(2(1(2(1(2(2(1(0(2(1(2(1(z0)))))))))))))))))))))))))) 1(0(1(1(1(2(2(1(0(1(0(2(1(1(0(2(1(0(1(2(1(0(2(2(1(0(0(z0))))))))))))))))))))))))))) -> 2(2(2(2(1(2(1(1(1(2(2(2(1(2(2(2(1(1(0(1(1(2(1(0(2(2(1(1(z0)))))))))))))))))))))))))))) 1(2(2(1(1(2(2(1(1(2(1(2(2(0(0(1(2(1(0(1(1(0(1(0(0(2(2(0(z0)))))))))))))))))))))))))))) -> 1(2(1(2(1(0(1(2(2(2(1(2(0(0(0(2(1(0(0(1(1(1(0(0(1(1(1(1(1(0(z0)))))))))))))))))))))))))))))) Tuples: ENCARG(cons_0(z0)) -> c(0'(encArg(z0)), ENCARG(z0)) ENCARG(cons_2(z0)) -> c1(2'(encArg(z0)), ENCARG(z0)) ENCODE_0(z0) -> c3(0'(encArg(z0)), ENCARG(z0)) ENCODE_2(z0) -> c5(2'(encArg(z0)), ENCARG(z0)) ENCARG(cons_1(z0)) -> c2(ENCARG(z0)) ENCODE_1(z0) -> c4(ENCARG(z0)) 0'(z0) -> c6 2'(2(1(z0))) -> c58(0'(1(1(z0)))) S tuples: 0'(z0) -> c6 2'(2(1(z0))) -> c58(0'(1(1(z0)))) K tuples:none Defined Rule Symbols: 0_1, 2_1, 1_1, encArg_1, encode_0_1, encode_1_1, encode_2_1 Defined Pair Symbols: ENCARG_1, ENCODE_0_1, ENCODE_2_1, ENCODE_1_1, 0'_1, 2'_1 Compound Symbols: c_2, c1_2, c3_2, c5_2, c2_1, c4_1, c6, c58_1 ---------------------------------------- (11) CdtGraphSplitRhsProof (BOTH BOUNDS(ID, ID)) Split RHS of tuples not part of any SCC ---------------------------------------- (12) Obligation: Complexity Dependency Tuples Problem Rules: encArg(cons_0(z0)) -> 0(encArg(z0)) encArg(cons_2(z0)) -> 2(encArg(z0)) encArg(cons_1(z0)) -> 1(encArg(z0)) encode_0(z0) -> 0(encArg(z0)) encode_1(z0) -> 1(encArg(z0)) encode_2(z0) -> 2(encArg(z0)) 0(z0) -> 1(1(z0)) 0(0(z0)) -> 1(1(2(z0))) 0(2(0(0(z0)))) -> 0(2(1(1(1(1(1(1(1(1(z0)))))))))) 0(0(2(0(2(z0))))) -> 1(2(2(1(1(2(2(1(1(z0))))))))) 0(2(0(2(0(0(z0)))))) -> 0(1(2(2(1(2(0(z0))))))) 0(0(0(0(2(0(1(2(z0)))))))) -> 1(1(1(2(1(1(1(0(0(0(2(z0))))))))))) 0(0(2(1(0(2(2(1(z0)))))))) -> 1(1(0(1(0(2(1(1(1(0(z0)))))))))) 0(2(0(1(2(0(1(1(2(z0))))))))) -> 1(2(2(1(1(1(2(2(1(0(z0)))))))))) 0(0(1(0(2(2(0(1(2(0(z0)))))))))) -> 2(2(2(1(1(1(1(2(2(1(2(2(2(1(2(z0))))))))))))))) 0(1(1(0(0(2(0(1(2(2(z0)))))))))) -> 1(1(2(1(1(2(1(1(0(0(0(2(1(z0))))))))))))) 0(0(0(1(2(1(2(1(2(0(1(z0))))))))))) -> 1(2(2(1(0(0(1(1(2(2(1(2(z0)))))))))))) 0(0(2(0(0(1(0(1(1(1(2(z0))))))))))) -> 1(2(1(1(1(0(2(1(0(1(2(2(1(z0))))))))))))) 0(0(2(0(2(2(2(2(2(2(0(z0))))))))))) -> 0(2(0(1(0(0(1(1(1(1(2(1(z0)))))))))))) 0(1(2(0(2(1(0(0(0(0(1(z0))))))))))) -> 2(2(1(2(0(1(2(1(2(0(1(2(z0)))))))))))) 0(2(0(2(2(0(2(0(0(0(2(z0))))))))))) -> 0(1(1(0(2(2(1(1(1(0(1(2(0(2(z0)))))))))))))) 0(1(0(1(0(2(1(1(2(0(2(0(z0)))))))))))) -> 1(1(1(1(0(2(1(1(2(1(2(2(2(2(1(1(z0)))))))))))))))) 0(1(1(2(0(2(0(2(2(2(1(0(z0)))))))))))) -> 2(0(1(0(0(1(1(0(1(1(0(2(0(z0))))))))))))) 0(1(1(2(2(1(1(2(2(0(0(0(z0)))))))))))) -> 2(2(1(1(2(1(1(1(2(1(1(0(2(1(z0)))))))))))))) 0(1(2(0(1(1(0(1(2(2(0(0(z0)))))))))))) -> 1(1(1(1(0(1(2(0(0(2(1(0(2(1(z0)))))))))))))) 0(1(2(2(0(0(1(2(2(0(0(0(z0)))))))))))) -> 1(1(2(2(2(2(0(2(1(2(1(0(1(z0))))))))))))) 0(1(2(2(0(1(1(0(2(0(0(0(z0)))))))))))) -> 1(2(1(2(1(2(0(2(0(2(1(1(0(z0))))))))))))) 0(0(1(0(1(1(1(0(1(0(2(0(0(1(z0)))))))))))))) -> 1(2(1(1(1(1(0(1(1(0(0(2(1(0(0(0(z0)))))))))))))))) 0(2(2(1(0(1(0(2(1(2(2(1(1(2(z0)))))))))))))) -> 2(1(1(2(2(1(0(1(2(1(2(1(2(1(0(z0))))))))))))))) 0(2(2(0(1(0(0(2(2(2(1(2(2(2(2(z0))))))))))))))) -> 2(2(1(0(2(1(2(2(0(0(0(1(0(0(1(1(z0)))))))))))))))) 0(2(1(0(0(1(0(2(2(0(0(2(0(0(2(1(z0)))))))))))))))) -> 0(1(2(1(2(0(0(1(1(2(2(2(0(1(1(2(2(2(1(2(z0)))))))))))))))))))) 0(1(0(2(0(1(2(2(0(1(0(0(2(0(1(2(2(z0))))))))))))))))) -> 1(2(2(1(2(1(2(2(1(0(0(0(0(0(0(0(2(z0))))))))))))))))) 0(1(0(2(2(0(2(2(0(2(1(0(2(1(0(0(2(z0))))))))))))))))) -> 1(1(1(0(1(2(2(0(2(2(1(2(2(0(1(0(1(0(z0)))))))))))))))))) 0(2(0(2(2(2(0(1(0(2(0(2(0(2(1(2(0(z0))))))))))))))))) -> 1(0(1(1(0(2(2(0(1(2(1(0(0(1(2(1(0(1(z0)))))))))))))))))) 0(2(0(2(2(1(0(1(2(0(0(2(1(0(2(2(1(1(z0)))))))))))))))))) -> 1(1(1(0(2(0(1(2(0(2(2(0(1(0(1(0(0(1(1(z0))))))))))))))))))) 0(2(2(2(0(1(0(2(0(1(0(0(0(2(2(2(2(0(z0)))))))))))))))))) -> 2(1(2(1(2(0(0(0(2(0(0(1(1(0(2(1(2(0(0(2(z0)))))))))))))))))))) 0(1(0(0(0(0(0(2(2(1(0(2(2(0(2(1(2(2(1(z0))))))))))))))))))) -> 2(1(2(1(1(1(2(1(1(0(2(2(0(1(0(0(2(0(2(1(1(0(1(1(2(1(z0)))))))))))))))))))))))))) 0(1(0(2(0(2(2(1(2(2(1(0(2(0(1(0(2(2(2(z0))))))))))))))))))) -> 0(1(0(2(2(1(1(0(1(2(0(2(1(2(1(2(1(1(1(1(z0)))))))))))))))))))) 0(0(1(0(0(0(2(2(1(0(2(1(2(1(2(2(2(0(0(2(z0)))))))))))))))))))) -> 0(0(2(0(2(1(1(2(0(0(1(1(2(1(1(1(2(1(1(1(1(0(1(z0))))))))))))))))))))))) 0(1(2(1(0(1(0(2(2(2(2(1(0(2(1(0(1(1(1(1(z0)))))))))))))))))))) -> 0(1(1(1(1(0(1(1(2(0(0(2(2(0(1(2(1(1(2(2(z0)))))))))))))))))))) 0(0(1(2(2(2(1(2(2(0(0(0(2(1(2(1(2(1(2(2(2(z0))))))))))))))))))))) -> 1(1(2(1(1(1(1(2(1(1(0(2(1(0(0(2(1(2(1(2(1(0(0(z0))))))))))))))))))))))) 0(0(2(2(0(1(2(0(0(0(1(2(2(2(0(0(1(1(0(2(0(z0))))))))))))))))))))) -> 1(2(1(0(1(1(1(2(1(2(0(2(1(1(2(0(2(2(1(2(0(0(1(1(0(2(z0)))))))))))))))))))))))))) 0(2(2(0(1(0(0(0(2(2(1(0(1(2(0(1(0(1(0(0(0(z0))))))))))))))))))))) -> 0(0(2(1(1(2(1(0(2(0(1(2(1(0(2(1(1(2(2(0(0(1(0(2(z0)))))))))))))))))))))))) 0(2(2(0(1(2(2(2(2(1(2(0(2(1(0(1(0(2(0(1(2(z0))))))))))))))))))))) -> 0(2(0(0(2(1(1(0(1(1(1(0(2(2(2(1(1(1(1(2(0(0(0(z0))))))))))))))))))))))) 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1(0(1(2(0(1(0(1(1(1(1(2(z0)))))))))))) 1(2(2(2(2(0(2(1(0(0(0(z0))))))))))) -> 2(1(1(2(0(1(0(0(1(0(1(1(z0)))))))))))) 1(0(0(0(2(1(0(0(0(2(0(2(2(0(2(z0))))))))))))))) -> 1(1(1(0(0(2(1(0(1(2(1(0(0(0(0(2(z0)))))))))))))))) 1(0(1(2(0(1(1(0(2(1(0(2(0(1(0(z0))))))))))))))) -> 1(0(0(1(1(1(2(1(0(2(0(1(0(1(1(1(0(z0))))))))))))))))) 1(1(0(1(0(2(1(0(2(0(1(2(2(2(2(1(1(z0))))))))))))))))) -> 1(1(2(2(1(1(0(0(2(0(0(1(1(0(2(2(1(1(z0)))))))))))))))))) 1(2(2(2(0(2(1(2(0(1(0(2(1(0(2(1(0(z0))))))))))))))))) -> 1(1(1(2(1(0(1(1(2(2(0(1(2(1(2(1(0(0(2(1(2(1(2(z0))))))))))))))))))))))) 1(0(1(1(2(0(1(1(0(0(2(1(0(0(2(2(0(0(0(z0))))))))))))))))))) -> 2(1(1(0(1(1(2(1(2(2(2(2(1(1(1(1(2(1(1(2(0(0(2(1(z0)))))))))))))))))))))))) 1(0(1(2(0(1(0(2(2(1(0(1(0(0(2(2(2(0(0(z0))))))))))))))))))) -> 1(0(2(1(1(1(1(0(2(1(0(1(2(0(0(2(1(1(0(0(1(1(0(2(z0)))))))))))))))))))))))) 1(2(0(2(2(0(0(1(0(0(2(0(2(2(1(0(1(0(2(z0))))))))))))))))))) -> 2(2(1(2(1(0(2(1(2(2(1(2(2(0(2(2(0(2(0(0(1(1(1(z0))))))))))))))))))))))) 1(1(0(0(1(2(1(0(0(1(1(2(1(0(0(0(1(2(1(2(z0)))))))))))))))))))) -> 2(2(1(2(1(2(1(0(0(1(1(1(2(1(1(1(1(1(1(1(1(2(1(z0))))))))))))))))))))))) 1(1(0(2(2(0(0(0(2(1(2(1(0(1(0(0(0(0(0(1(z0)))))))))))))))))))) -> 1(2(1(1(2(1(0(0(1(2(1(2(1(2(2(2(1(0(2(1(0(0(z0)))))))))))))))))))))) 1(0(0(0(1(2(1(2(0(2(0(0(1(0(0(0(1(2(1(0(2(z0))))))))))))))))))))) -> 2(2(2(2(1(1(2(1(0(1(0(2(2(1(0(0(1(1(1(1(0(1(0(z0))))))))))))))))))))))) 1(0(2(1(1(1(1(0(0(2(2(0(1(0(1(0(2(2(0(0(0(z0))))))))))))))))))))) -> 1(1(1(1(0(2(1(2(2(1(1(1(0(2(2(1(2(2(1(0(1(2(z0)))))))))))))))))))))) 1(0(1(1(0(0(1(1(1(0(2(2(0(1(0(0(1(2(0(0(2(0(z0)))))))))))))))))))))) -> 1(1(1(2(2(0(2(1(2(0(2(0(0(0(1(2(1(2(1(2(0(2(1(z0))))))))))))))))))))))) 1(2(0(2(1(2(0(0(0(0(0(0(2(2(1(0(2(2(0(2(1(0(0(1(z0)))))))))))))))))))))))) -> 1(0(1(0(0(2(2(1(1(2(0(2(2(0(0(2(0(1(0(1(1(1(1(2(2(2(1(z0))))))))))))))))))))))))))) 1(2(2(1(2(0(1(2(0(1(2(1(0(0(0(2(2(2(0(2(2(0(2(1(z0)))))))))))))))))))))))) -> 2(1(0(2(0(2(1(1(1(1(2(0(0(1(0(2(1(0(2(0(2(0(1(1(2(z0))))))))))))))))))))))))) 1(0(1(0(0(0(2(0(1(2(0(2(0(2(0(1(0(2(2(0(0(1(0(1(1(z0))))))))))))))))))))))))) -> 1(2(0(0(2(0(1(0(1(0(2(2(1(1(0(0(0(1(2(1(1(1(1(0(2(1(z0)))))))))))))))))))))))))) 1(1(0(2(0(1(2(1(0(0(1(0(0(2(1(0(2(0(1(0(0(0(1(0(1(z0))))))))))))))))))))))))) -> 2(1(0(2(0(0(1(1(2(2(1(2(0(2(2(1(2(1(2(2(1(0(2(1(2(1(z0)))))))))))))))))))))))))) 1(0(1(1(1(2(2(1(0(1(0(2(1(1(0(2(1(0(1(2(1(0(2(2(1(0(0(z0))))))))))))))))))))))))))) -> 2(2(2(2(1(2(1(1(1(2(2(2(1(2(2(2(1(1(0(1(1(2(1(0(2(2(1(1(z0)))))))))))))))))))))))))))) 1(2(2(1(1(2(2(1(1(2(1(2(2(0(0(1(2(1(0(1(1(0(1(0(0(2(2(0(z0)))))))))))))))))))))))))))) -> 1(2(1(2(1(0(1(2(2(2(1(2(0(0(0(2(1(0(0(1(1(1(0(0(1(1(1(1(1(0(z0)))))))))))))))))))))))))))))) Tuples: ENCARG(cons_0(z0)) -> c(0'(encArg(z0)), ENCARG(z0)) ENCARG(cons_2(z0)) -> c1(2'(encArg(z0)), ENCARG(z0)) ENCARG(cons_1(z0)) -> c2(ENCARG(z0)) ENCODE_1(z0) -> c4(ENCARG(z0)) 0'(z0) -> c6 2'(2(1(z0))) -> c58(0'(1(1(z0)))) ENCODE_0(z0) -> c7(0'(encArg(z0))) ENCODE_0(z0) -> c7(ENCARG(z0)) ENCODE_2(z0) -> c7(2'(encArg(z0))) ENCODE_2(z0) -> c7(ENCARG(z0)) S tuples: 0'(z0) -> c6 2'(2(1(z0))) -> c58(0'(1(1(z0)))) K tuples:none Defined Rule Symbols: 0_1, 2_1, 1_1, encArg_1, encode_0_1, encode_1_1, encode_2_1 Defined Pair Symbols: ENCARG_1, ENCODE_1_1, 0'_1, 2'_1, ENCODE_0_1, ENCODE_2_1 Compound Symbols: c_2, c1_2, c2_1, c4_1, c6, c58_1, c7_1 ---------------------------------------- (13) CdtLeafRemovalProof (ComplexityIfPolyImplication) Removed 3 leading nodes: ENCODE_1(z0) -> c4(ENCARG(z0)) ENCODE_0(z0) -> c7(ENCARG(z0)) ENCODE_2(z0) -> c7(ENCARG(z0)) ---------------------------------------- (14) Obligation: Complexity Dependency Tuples Problem Rules: encArg(cons_0(z0)) -> 0(encArg(z0)) encArg(cons_2(z0)) -> 2(encArg(z0)) encArg(cons_1(z0)) -> 1(encArg(z0)) encode_0(z0) -> 0(encArg(z0)) encode_1(z0) -> 1(encArg(z0)) encode_2(z0) -> 2(encArg(z0)) 0(z0) -> 1(1(z0)) 0(0(z0)) -> 1(1(2(z0))) 0(2(0(0(z0)))) -> 0(2(1(1(1(1(1(1(1(1(z0)))))))))) 0(0(2(0(2(z0))))) -> 1(2(2(1(1(2(2(1(1(z0))))))))) 0(2(0(2(0(0(z0)))))) -> 0(1(2(2(1(2(0(z0))))))) 0(0(0(0(2(0(1(2(z0)))))))) -> 1(1(1(2(1(1(1(0(0(0(2(z0))))))))))) 0(0(2(1(0(2(2(1(z0)))))))) -> 1(1(0(1(0(2(1(1(1(0(z0)))))))))) 0(2(0(1(2(0(1(1(2(z0))))))))) -> 1(2(2(1(1(1(2(2(1(0(z0)))))))))) 0(0(1(0(2(2(0(1(2(0(z0)))))))))) -> 2(2(2(1(1(1(1(2(2(1(2(2(2(1(2(z0))))))))))))))) 0(1(1(0(0(2(0(1(2(2(z0)))))))))) -> 1(1(2(1(1(2(1(1(0(0(0(2(1(z0))))))))))))) 0(0(0(1(2(1(2(1(2(0(1(z0))))))))))) -> 1(2(2(1(0(0(1(1(2(2(1(2(z0)))))))))))) 0(0(2(0(0(1(0(1(1(1(2(z0))))))))))) -> 1(2(1(1(1(0(2(1(0(1(2(2(1(z0))))))))))))) 0(0(2(0(2(2(2(2(2(2(0(z0))))))))))) -> 0(2(0(1(0(0(1(1(1(1(2(1(z0)))))))))))) 0(1(2(0(2(1(0(0(0(0(1(z0))))))))))) -> 2(2(1(2(0(1(2(1(2(0(1(2(z0)))))))))))) 0(2(0(2(2(0(2(0(0(0(2(z0))))))))))) -> 0(1(1(0(2(2(1(1(1(0(1(2(0(2(z0)))))))))))))) 0(1(0(1(0(2(1(1(2(0(2(0(z0)))))))))))) -> 1(1(1(1(0(2(1(1(2(1(2(2(2(2(1(1(z0)))))))))))))))) 0(1(1(2(0(2(0(2(2(2(1(0(z0)))))))))))) -> 2(0(1(0(0(1(1(0(1(1(0(2(0(z0))))))))))))) 0(1(1(2(2(1(1(2(2(0(0(0(z0)))))))))))) -> 2(2(1(1(2(1(1(1(2(1(1(0(2(1(z0)))))))))))))) 0(1(2(0(1(1(0(1(2(2(0(0(z0)))))))))))) -> 1(1(1(1(0(1(2(0(0(2(1(0(2(1(z0)))))))))))))) 0(1(2(2(0(0(1(2(2(0(0(0(z0)))))))))))) -> 1(1(2(2(2(2(0(2(1(2(1(0(1(z0))))))))))))) 0(1(2(2(0(1(1(0(2(0(0(0(z0)))))))))))) -> 1(2(1(2(1(2(0(2(0(2(1(1(0(z0))))))))))))) 0(0(1(0(1(1(1(0(1(0(2(0(0(1(z0)))))))))))))) -> 1(2(1(1(1(1(0(1(1(0(0(2(1(0(0(0(z0)))))))))))))))) 0(2(2(1(0(1(0(2(1(2(2(1(1(2(z0)))))))))))))) -> 2(1(1(2(2(1(0(1(2(1(2(1(2(1(0(z0))))))))))))))) 0(2(2(0(1(0(0(2(2(2(1(2(2(2(2(z0))))))))))))))) -> 2(2(1(0(2(1(2(2(0(0(0(1(0(0(1(1(z0)))))))))))))))) 0(2(1(0(0(1(0(2(2(0(0(2(0(0(2(1(z0)))))))))))))))) -> 0(1(2(1(2(0(0(1(1(2(2(2(0(1(1(2(2(2(1(2(z0)))))))))))))))))))) 0(1(0(2(0(1(2(2(0(1(0(0(2(0(1(2(2(z0))))))))))))))))) -> 1(2(2(1(2(1(2(2(1(0(0(0(0(0(0(0(2(z0))))))))))))))))) 0(1(0(2(2(0(2(2(0(2(1(0(2(1(0(0(2(z0))))))))))))))))) -> 1(1(1(0(1(2(2(0(2(2(1(2(2(0(1(0(1(0(z0)))))))))))))))))) 0(2(0(2(2(2(0(1(0(2(0(2(0(2(1(2(0(z0))))))))))))))))) -> 1(0(1(1(0(2(2(0(1(2(1(0(0(1(2(1(0(1(z0)))))))))))))))))) 0(2(0(2(2(1(0(1(2(0(0(2(1(0(2(2(1(1(z0)))))))))))))))))) -> 1(1(1(0(2(0(1(2(0(2(2(0(1(0(1(0(0(1(1(z0))))))))))))))))))) 0(2(2(2(0(1(0(2(0(1(0(0(0(2(2(2(2(0(z0)))))))))))))))))) -> 2(1(2(1(2(0(0(0(2(0(0(1(1(0(2(1(2(0(0(2(z0)))))))))))))))))))) 0(1(0(0(0(0(0(2(2(1(0(2(2(0(2(1(2(2(1(z0))))))))))))))))))) -> 2(1(2(1(1(1(2(1(1(0(2(2(0(1(0(0(2(0(2(1(1(0(1(1(2(1(z0)))))))))))))))))))))))))) 0(1(0(2(0(2(2(1(2(2(1(0(2(0(1(0(2(2(2(z0))))))))))))))))))) -> 0(1(0(2(2(1(1(0(1(2(0(2(1(2(1(2(1(1(1(1(z0)))))))))))))))))))) 0(0(1(0(0(0(2(2(1(0(2(1(2(1(2(2(2(0(0(2(z0)))))))))))))))))))) -> 0(0(2(0(2(1(1(2(0(0(1(1(2(1(1(1(2(1(1(1(1(0(1(z0))))))))))))))))))))))) 0(1(2(1(0(1(0(2(2(2(2(1(0(2(1(0(1(1(1(1(z0)))))))))))))))))))) -> 0(1(1(1(1(0(1(1(2(0(0(2(2(0(1(2(1(1(2(2(z0)))))))))))))))))))) 0(0(1(2(2(2(1(2(2(0(0(0(2(1(2(1(2(1(2(2(2(z0))))))))))))))))))))) -> 1(1(2(1(1(1(1(2(1(1(0(2(1(0(0(2(1(2(1(2(1(0(0(z0))))))))))))))))))))))) 0(0(2(2(0(1(2(0(0(0(1(2(2(2(0(0(1(1(0(2(0(z0))))))))))))))))))))) -> 1(2(1(0(1(1(1(2(1(2(0(2(1(1(2(0(2(2(1(2(0(0(1(1(0(2(z0)))))))))))))))))))))))))) 0(2(2(0(1(0(0(0(2(2(1(0(1(2(0(1(0(1(0(0(0(z0))))))))))))))))))))) -> 0(0(2(1(1(2(1(0(2(0(1(2(1(0(2(1(1(2(2(0(0(1(0(2(z0)))))))))))))))))))))))) 0(2(2(0(1(2(2(2(2(1(2(0(2(1(0(1(0(2(0(1(2(z0))))))))))))))))))))) -> 0(2(0(0(2(1(1(0(1(1(1(0(2(2(2(1(1(1(1(2(0(0(0(z0))))))))))))))))))))))) 0(0(1(2(2(0(1(1(2(0(1(0(0(0(0(1(0(1(2(2(2(1(z0)))))))))))))))))))))) -> 1(1(1(1(2(2(2(0(2(0(2(2(1(0(2(0(2(1(2(1(2(1(1(1(0(1(z0)))))))))))))))))))))))))) 0(0(1(2(0(0(1(0(0(2(0(1(0(1(2(0(2(0(0(2(2(0(2(z0))))))))))))))))))))))) -> 0(0(1(0(1(2(2(0(1(0(0(2(0(1(1(1(0(1(2(1(2(0(0(1(0(1(z0)))))))))))))))))))))))))) 0(1(0(1(1(0(1(1(0(2(2(0(2(1(0(0(2(0(0(1(2(0(2(0(2(z0))))))))))))))))))))))))) -> 1(1(2(1(1(1(1(2(0(2(0(2(1(2(2(0(1(1(2(0(1(1(0(2(2(2(0(z0))))))))))))))))))))))))))) 0(1(2(2(1(0(0(2(1(1(2(0(1(0(2(0(1(0(1(2(2(0(1(1(0(z0))))))))))))))))))))))))) -> 0(1(1(1(2(1(1(2(2(0(0(0(0(1(1(2(0(0(0(2(1(2(1(1(0(1(z0)))))))))))))))))))))))))) 0(0(0(1(0(2(1(2(0(1(2(0(0(2(1(0(2(0(2(2(2(2(0(2(0(0(z0)))))))))))))))))))))))))) -> 0(2(1(0(0(1(0(1(0(0(1(0(1(0(0(2(2(0(1(1(1(1(1(0(1(1(0(2(0(z0))))))))))))))))))))))))))))) 0(0(1(2(2(0(1(2(0(0(0(2(0(2(1(2(0(0(0(2(0(2(2(2(0(1(z0)))))))))))))))))))))))))) -> 1(1(0(1(2(1(2(1(1(1(0(0(1(1(2(2(0(2(0(0(2(0(0(1(1(2(1(z0))))))))))))))))))))))))))) 0(2(0(2(2(2(0(1(1(2(2(2(0(0(1(2(0(2(2(1(2(0(0(1(2(2(z0)))))))))))))))))))))))))) -> 0(1(1(2(1(0(2(1(1(1(1(2(1(1(1(2(1(1(2(0(2(0(2(2(1(2(1(2(0(z0))))))))))))))))))))))))))))) 0(1(0(0(2(0(0(2(2(2(0(1(2(1(1(1(2(0(1(1(0(0(0(1(0(1(0(z0))))))))))))))))))))))))))) -> 0(1(0(0(1(0(1(2(0(2(0(0(2(0(1(2(2(1(1(1(0(1(2(1(0(0(0(z0))))))))))))))))))))))))))) 0(1(1(2(0(0(2(2(0(0(1(2(2(2(1(2(2(2(2(0(2(0(2(0(0(0(1(z0))))))))))))))))))))))))))) -> 0(1(0(1(1(2(0(1(0(1(1(1(0(2(2(0(1(1(0(0(0(2(0(1(1(1(0(0(z0)))))))))))))))))))))))))))) 0(0(0(0(0(1(0(2(2(2(0(0(2(0(1(0(1(2(1(1(0(1(0(2(0(0(1(0(z0)))))))))))))))))))))))))))) -> 1(0(2(1(2(1(2(1(1(2(1(1(1(1(1(1(1(1(0(2(2(1(2(1(1(1(0(1(0(1(z0)))))))))))))))))))))))))))))) 0(0(1(1(2(2(0(1(1(0(1(2(2(0(2(0(2(1(0(0(1(1(0(1(0(0(0(1(1(z0))))))))))))))))))))))))))))) -> 0(1(2(0(1(1(0(1(1(0(2(1(2(1(1(0(2(1(1(2(2(1(1(2(1(2(2(2(0(2(z0)))))))))))))))))))))))))))))) 0(2(2(1(0(1(2(0(1(0(1(2(0(1(1(0(1(2(0(0(2(0(1(2(0(1(1(2(1(z0))))))))))))))))))))))))))))) -> 0(1(2(1(2(1(2(2(2(1(1(0(0(1(2(2(2(2(2(2(2(1(0(0(0(1(2(0(0(1(z0)))))))))))))))))))))))))))))) 2(0(z0)) -> 1(1(0(z0))) 2(0(0(z0))) -> 0(1(2(1(1(z0))))) 2(2(1(z0))) -> 1(1(0(1(1(z0))))) 2(1(0(1(2(0(0(z0))))))) -> 1(1(1(0(1(2(2(1(1(z0))))))))) 2(2(0(0(2(0(0(z0))))))) -> 2(0(1(1(0(0(2(1(1(z0))))))))) 2(2(0(2(1(0(1(z0))))))) -> 0(1(0(1(2(1(1(2(1(1(z0)))))))))) 2(0(2(1(1(2(2(0(z0)))))))) -> 2(0(0(2(2(1(2(1(z0)))))))) 2(1(2(0(1(0(2(2(z0)))))))) -> 2(1(0(1(1(1(2(1(0(z0))))))))) 2(1(0(1(2(1(2(2(2(z0))))))))) -> 1(1(0(1(0(0(1(1(1(1(2(z0))))))))))) 2(2(0(2(1(0(1(0(1(z0))))))))) -> 2(1(1(1(0(2(0(2(0(z0))))))))) 2(0(1(0(0(1(0(0(2(2(z0)))))))))) -> 1(2(2(1(1(2(2(0(2(0(2(1(1(z0))))))))))))) 2(1(0(0(0(0(2(0(0(0(2(0(z0)))))))))))) -> 1(2(1(2(2(0(2(2(1(2(1(1(0(1(1(z0))))))))))))))) 2(0(2(0(1(2(2(0(2(1(0(0(0(z0))))))))))))) -> 1(1(1(1(2(0(1(0(1(0(2(0(1(1(2(1(z0)))))))))))))))) 2(2(2(2(0(0(1(2(2(1(1(0(0(z0))))))))))))) -> 2(2(2(0(0(2(0(1(1(0(1(1(1(1(1(z0))))))))))))))) 2(0(2(0(2(2(0(2(0(1(0(0(0(0(1(2(z0)))))))))))))))) -> 1(1(2(1(0(0(2(1(1(2(1(2(1(1(2(1(2(1(2(2(0(2(z0)))))))))))))))))))))) 2(0(2(2(2(2(1(2(0(1(0(1(0(2(2(1(z0)))))))))))))))) -> 2(1(2(1(2(2(2(0(0(1(2(2(1(0(0(2(z0)))))))))))))))) 2(1(2(0(1(2(1(0(0(2(0(0(2(0(0(1(2(z0))))))))))))))))) -> 1(2(1(2(1(1(2(0(2(0(2(1(1(1(1(0(2(1(1(z0))))))))))))))))))) 2(2(2(2(0(0(1(0(1(1(1(2(0(2(0(2(2(0(0(z0))))))))))))))))))) -> 2(0(0(0(1(1(0(2(2(2(1(2(0(0(1(1(2(1(1(1(2(1(2(z0))))))))))))))))))))))) 2(0(0(2(2(2(1(1(2(2(0(2(1(0(0(0(2(2(1(0(1(z0))))))))))))))))))))) -> 2(1(1(2(1(1(1(0(1(2(2(1(2(0(0(0(2(0(0(1(2(0(z0)))))))))))))))))))))) 2(0(2(2(2(0(0(1(2(2(1(1(2(0(0(0(2(0(0(0(2(z0))))))))))))))))))))) -> 1(1(1(0(1(2(2(1(2(2(2(1(1(1(1(1(1(1(0(2(1(0(1(0(z0)))))))))))))))))))))))) 2(1(2(1(1(2(0(0(1(1(0(1(1(2(1(1(1(1(0(1(2(z0))))))))))))))))))))) -> 1(1(1(1(2(1(0(1(0(1(2(2(1(2(1(1(1(0(0(1(2(z0))))))))))))))))))))) 2(2(0(0(2(1(0(1(0(0(0(0(0(1(0(0(2(0(0(1(1(z0))))))))))))))))))))) -> 2(0(2(0(2(0(0(0(2(2(1(1(2(2(2(1(1(1(1(1(2(1(2(z0))))))))))))))))))))))) 2(2(0(2(1(1(0(1(2(0(1(1(2(0(2(0(1(0(2(0(1(z0))))))))))))))))))))) -> 2(1(2(1(0(1(1(1(1(0(2(2(2(1(2(2(1(2(1(1(0(2(z0)))))))))))))))))))))) 2(0(0(1(1(2(2(2(2(1(2(0(1(2(0(2(2(1(2(2(0(2(z0)))))))))))))))))))))) -> 1(1(1(0(0(2(2(2(1(2(2(0(1(1(1(1(2(1(0(1(1(2(0(2(2(z0))))))))))))))))))))))))) 2(0(1(2(2(0(1(0(0(0(2(1(2(1(2(0(1(1(2(0(1(0(z0)))))))))))))))))))))) -> 0(2(1(1(0(2(1(1(0(1(1(2(2(0(1(2(2(1(0(1(1(1(0(z0))))))))))))))))))))))) 2(2(1(0(1(1(2(0(2(1(1(0(0(1(2(1(2(2(2(0(2(1(z0)))))))))))))))))))))) -> 2(1(1(2(1(2(0(2(1(1(1(1(2(1(1(2(1(1(0(1(1(2(2(1(1(z0))))))))))))))))))))))))) 2(2(2(0(0(1(0(2(0(2(0(0(1(2(1(2(1(2(0(1(1(1(z0)))))))))))))))))))))) -> 1(1(2(1(2(1(2(1(2(1(0(2(0(1(1(0(1(0(0(2(0(2(1(2(1(z0))))))))))))))))))))))))) 2(2(1(2(0(0(0(0(1(2(1(0(1(0(2(0(1(0(0(1(2(0(2(z0))))))))))))))))))))))) -> 2(1(1(2(2(2(2(1(0(1(2(0(1(1(1(1(1(2(1(2(1(1(0(2(1(1(0(0(2(z0))))))))))))))))))))))))))))) 2(1(1(2(0(0(0(2(0(2(2(2(2(0(1(0(1(0(2(2(1(1(1(2(z0)))))))))))))))))))))))) -> 2(1(1(2(1(1(2(1(2(1(2(0(1(1(0(0(0(1(1(1(2(1(2(1(1(z0))))))))))))))))))))))))) 2(1(2(2(0(0(2(0(0(0(1(1(2(0(1(1(2(2(2(0(0(0(2(1(2(1(z0)))))))))))))))))))))))))) -> 1(1(0(0(0(1(1(0(2(0(1(2(1(1(1(1(2(1(1(1(1(2(1(0(1(2(2(1(z0)))))))))))))))))))))))))))) 2(2(0(2(1(2(0(2(0(2(0(0(0(2(1(2(2(0(1(0(1(0(1(0(1(0(z0)))))))))))))))))))))))))) -> 1(1(0(1(2(1(0(2(2(2(0(1(2(1(1(1(2(2(2(2(1(2(2(1(0(2(2(2(0(z0))))))))))))))))))))))))))))) 2(2(2(0(0(1(0(1(2(0(0(0(2(0(2(2(0(1(0(0(2(1(2(2(2(2(z0)))))))))))))))))))))))))) -> 2(1(2(1(0(1(2(0(1(0(2(2(0(1(1(2(0(1(2(2(2(2(0(0(0(1(2(z0))))))))))))))))))))))))))) 2(2(2(2(0(1(1(2(0(2(0(1(1(2(0(1(2(1(1(2(2(1(2(1(2(2(z0)))))))))))))))))))))))))) -> 2(0(0(1(1(2(2(1(1(1(1(0(1(2(1(2(1(1(2(1(2(2(1(0(2(1(1(0(2(z0))))))))))))))))))))))))))))) 2(0(2(0(1(2(0(1(0(2(2(2(0(1(1(0(0(1(1(2(2(2(1(0(1(2(1(z0))))))))))))))))))))))))))) -> 2(1(0(1(1(1(1(2(1(2(0(2(0(1(2(2(0(2(1(2(1(1(2(0(2(2(1(0(z0)))))))))))))))))))))))))))) 2(2(2(0(2(1(2(2(1(0(1(1(1(0(1(2(1(1(2(1(2(0(1(0(2(2(1(z0))))))))))))))))))))))))))) -> 0(1(0(1(2(1(2(2(1(2(1(2(1(0(2(1(2(2(1(1(2(1(1(0(2(0(2(z0))))))))))))))))))))))))))) 2(0(1(1(1(0(0(0(0(2(0(1(2(0(1(0(1(2(2(0(2(2(2(0(2(1(0(0(z0)))))))))))))))))))))))))))) -> 1(1(0(1(1(2(2(1(2(1(0(2(0(0(2(1(1(1(1(2(0(1(0(1(1(1(1(2(1(1(z0)))))))))))))))))))))))))))))) 2(2(2(2(2(1(0(2(2(0(2(1(0(0(1(1(2(1(1(1(1(2(2(0(0(2(2(0(z0)))))))))))))))))))))))))))) -> 2(1(1(0(1(1(2(2(2(2(2(1(1(1(0(2(1(0(1(1(0(2(2(1(0(2(1(1(1(2(z0)))))))))))))))))))))))))))))) 2(1(1(2(1(1(1(0(2(1(1(2(1(1(2(2(1(1(2(0(1(0(1(2(0(1(0(0(1(z0))))))))))))))))))))))))))))) -> 2(2(1(1(1(0(1(2(1(0(1(2(1(1(1(2(1(0(2(0(1(2(1(0(0(1(1(2(1(z0))))))))))))))))))))))))))))) 1(1(2(2(0(1(0(1(1(z0))))))))) -> 1(1(1(0(1(1(0(1(1(1(1(z0))))))))))) 1(0(1(1(0(2(2(0(2(0(z0)))))))))) -> 1(1(0(2(2(1(0(2(0(0(z0)))))))))) 1(0(1(2(2(0(0(2(2(1(z0)))))))))) -> 1(0(1(2(0(1(0(1(1(1(1(2(z0)))))))))))) 1(2(2(2(2(0(2(1(0(0(0(z0))))))))))) -> 2(1(1(2(0(1(0(0(1(0(1(1(z0)))))))))))) 1(0(0(0(2(1(0(0(0(2(0(2(2(0(2(z0))))))))))))))) -> 1(1(1(0(0(2(1(0(1(2(1(0(0(0(0(2(z0)))))))))))))))) 1(0(1(2(0(1(1(0(2(1(0(2(0(1(0(z0))))))))))))))) -> 1(0(0(1(1(1(2(1(0(2(0(1(0(1(1(1(0(z0))))))))))))))))) 1(1(0(1(0(2(1(0(2(0(1(2(2(2(2(1(1(z0))))))))))))))))) -> 1(1(2(2(1(1(0(0(2(0(0(1(1(0(2(2(1(1(z0)))))))))))))))))) 1(2(2(2(0(2(1(2(0(1(0(2(1(0(2(1(0(z0))))))))))))))))) -> 1(1(1(2(1(0(1(1(2(2(0(1(2(1(2(1(0(0(2(1(2(1(2(z0))))))))))))))))))))))) 1(0(1(1(2(0(1(1(0(0(2(1(0(0(2(2(0(0(0(z0))))))))))))))))))) -> 2(1(1(0(1(1(2(1(2(2(2(2(1(1(1(1(2(1(1(2(0(0(2(1(z0)))))))))))))))))))))))) 1(0(1(2(0(1(0(2(2(1(0(1(0(0(2(2(2(0(0(z0))))))))))))))))))) -> 1(0(2(1(1(1(1(0(2(1(0(1(2(0(0(2(1(1(0(0(1(1(0(2(z0)))))))))))))))))))))))) 1(2(0(2(2(0(0(1(0(0(2(0(2(2(1(0(1(0(2(z0))))))))))))))))))) -> 2(2(1(2(1(0(2(1(2(2(1(2(2(0(2(2(0(2(0(0(1(1(1(z0))))))))))))))))))))))) 1(1(0(0(1(2(1(0(0(1(1(2(1(0(0(0(1(2(1(2(z0)))))))))))))))))))) -> 2(2(1(2(1(2(1(0(0(1(1(1(2(1(1(1(1(1(1(1(1(2(1(z0))))))))))))))))))))))) 1(1(0(2(2(0(0(0(2(1(2(1(0(1(0(0(0(0(0(1(z0)))))))))))))))))))) -> 1(2(1(1(2(1(0(0(1(2(1(2(1(2(2(2(1(0(2(1(0(0(z0)))))))))))))))))))))) 1(0(0(0(1(2(1(2(0(2(0(0(1(0(0(0(1(2(1(0(2(z0))))))))))))))))))))) -> 2(2(2(2(1(1(2(1(0(1(0(2(2(1(0(0(1(1(1(1(0(1(0(z0))))))))))))))))))))))) 1(0(2(1(1(1(1(0(0(2(2(0(1(0(1(0(2(2(0(0(0(z0))))))))))))))))))))) -> 1(1(1(1(0(2(1(2(2(1(1(1(0(2(2(1(2(2(1(0(1(2(z0)))))))))))))))))))))) 1(0(1(1(0(0(1(1(1(0(2(2(0(1(0(0(1(2(0(0(2(0(z0)))))))))))))))))))))) -> 1(1(1(2(2(0(2(1(2(0(2(0(0(0(1(2(1(2(1(2(0(2(1(z0))))))))))))))))))))))) 1(2(0(2(1(2(0(0(0(0(0(0(2(2(1(0(2(2(0(2(1(0(0(1(z0)))))))))))))))))))))))) -> 1(0(1(0(0(2(2(1(1(2(0(2(2(0(0(2(0(1(0(1(1(1(1(2(2(2(1(z0))))))))))))))))))))))))))) 1(2(2(1(2(0(1(2(0(1(2(1(0(0(0(2(2(2(0(2(2(0(2(1(z0)))))))))))))))))))))))) -> 2(1(0(2(0(2(1(1(1(1(2(0(0(1(0(2(1(0(2(0(2(0(1(1(2(z0))))))))))))))))))))))))) 1(0(1(0(0(0(2(0(1(2(0(2(0(2(0(1(0(2(2(0(0(1(0(1(1(z0))))))))))))))))))))))))) -> 1(2(0(0(2(0(1(0(1(0(2(2(1(1(0(0(0(1(2(1(1(1(1(0(2(1(z0)))))))))))))))))))))))))) 1(1(0(2(0(1(2(1(0(0(1(0(0(2(1(0(2(0(1(0(0(0(1(0(1(z0))))))))))))))))))))))))) -> 2(1(0(2(0(0(1(1(2(2(1(2(0(2(2(1(2(1(2(2(1(0(2(1(2(1(z0)))))))))))))))))))))))))) 1(0(1(1(1(2(2(1(0(1(0(2(1(1(0(2(1(0(1(2(1(0(2(2(1(0(0(z0))))))))))))))))))))))))))) -> 2(2(2(2(1(2(1(1(1(2(2(2(1(2(2(2(1(1(0(1(1(2(1(0(2(2(1(1(z0)))))))))))))))))))))))))))) 1(2(2(1(1(2(2(1(1(2(1(2(2(0(0(1(2(1(0(1(1(0(1(0(0(2(2(0(z0)))))))))))))))))))))))))))) -> 1(2(1(2(1(0(1(2(2(2(1(2(0(0(0(2(1(0(0(1(1(1(0(0(1(1(1(1(1(0(z0)))))))))))))))))))))))))))))) Tuples: ENCARG(cons_0(z0)) -> c(0'(encArg(z0)), ENCARG(z0)) ENCARG(cons_2(z0)) -> c1(2'(encArg(z0)), ENCARG(z0)) ENCARG(cons_1(z0)) -> c2(ENCARG(z0)) 0'(z0) -> c6 2'(2(1(z0))) -> c58(0'(1(1(z0)))) ENCODE_0(z0) -> c7(0'(encArg(z0))) ENCODE_2(z0) -> c7(2'(encArg(z0))) S tuples: 0'(z0) -> c6 2'(2(1(z0))) -> c58(0'(1(1(z0)))) K tuples:none Defined Rule Symbols: 0_1, 2_1, 1_1, encArg_1, encode_0_1, encode_1_1, encode_2_1 Defined Pair Symbols: ENCARG_1, 0'_1, 2'_1, ENCODE_0_1, ENCODE_2_1 Compound Symbols: c_2, c1_2, c2_1, c6, c58_1, c7_1 ---------------------------------------- (15) 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)) 0(0(z0)) -> 1(1(2(z0))) 0(2(0(0(z0)))) -> 0(2(1(1(1(1(1(1(1(1(z0)))))))))) 0(0(2(0(2(z0))))) -> 1(2(2(1(1(2(2(1(1(z0))))))))) 0(2(0(2(0(0(z0)))))) -> 0(1(2(2(1(2(0(z0))))))) 0(0(0(0(2(0(1(2(z0)))))))) -> 1(1(1(2(1(1(1(0(0(0(2(z0))))))))))) 0(0(2(1(0(2(2(1(z0)))))))) -> 1(1(0(1(0(2(1(1(1(0(z0)))))))))) 0(2(0(1(2(0(1(1(2(z0))))))))) -> 1(2(2(1(1(1(2(2(1(0(z0)))))))))) 0(0(1(0(2(2(0(1(2(0(z0)))))))))) -> 2(2(2(1(1(1(1(2(2(1(2(2(2(1(2(z0))))))))))))))) 0(1(1(0(0(2(0(1(2(2(z0)))))))))) -> 1(1(2(1(1(2(1(1(0(0(0(2(1(z0))))))))))))) 0(0(0(1(2(1(2(1(2(0(1(z0))))))))))) -> 1(2(2(1(0(0(1(1(2(2(1(2(z0)))))))))))) 0(0(2(0(0(1(0(1(1(1(2(z0))))))))))) -> 1(2(1(1(1(0(2(1(0(1(2(2(1(z0))))))))))))) 0(0(2(0(2(2(2(2(2(2(0(z0))))))))))) -> 0(2(0(1(0(0(1(1(1(1(2(1(z0)))))))))))) 0(1(2(0(2(1(0(0(0(0(1(z0))))))))))) -> 2(2(1(2(0(1(2(1(2(0(1(2(z0)))))))))))) 0(2(0(2(2(0(2(0(0(0(2(z0))))))))))) -> 0(1(1(0(2(2(1(1(1(0(1(2(0(2(z0)))))))))))))) 0(1(0(1(0(2(1(1(2(0(2(0(z0)))))))))))) -> 1(1(1(1(0(2(1(1(2(1(2(2(2(2(1(1(z0)))))))))))))))) 0(1(1(2(0(2(0(2(2(2(1(0(z0)))))))))))) -> 2(0(1(0(0(1(1(0(1(1(0(2(0(z0))))))))))))) 0(1(1(2(2(1(1(2(2(0(0(0(z0)))))))))))) -> 2(2(1(1(2(1(1(1(2(1(1(0(2(1(z0)))))))))))))) 0(1(2(0(1(1(0(1(2(2(0(0(z0)))))))))))) -> 1(1(1(1(0(1(2(0(0(2(1(0(2(1(z0)))))))))))))) 0(1(2(2(0(0(1(2(2(0(0(0(z0)))))))))))) -> 1(1(2(2(2(2(0(2(1(2(1(0(1(z0))))))))))))) 0(1(2(2(0(1(1(0(2(0(0(0(z0)))))))))))) -> 1(2(1(2(1(2(0(2(0(2(1(1(0(z0))))))))))))) 0(0(1(0(1(1(1(0(1(0(2(0(0(1(z0)))))))))))))) -> 1(2(1(1(1(1(0(1(1(0(0(2(1(0(0(0(z0)))))))))))))))) 0(2(2(1(0(1(0(2(1(2(2(1(1(2(z0)))))))))))))) -> 2(1(1(2(2(1(0(1(2(1(2(1(2(1(0(z0))))))))))))))) 0(2(2(0(1(0(0(2(2(2(1(2(2(2(2(z0))))))))))))))) -> 2(2(1(0(2(1(2(2(0(0(0(1(0(0(1(1(z0)))))))))))))))) 0(2(1(0(0(1(0(2(2(0(0(2(0(0(2(1(z0)))))))))))))))) -> 0(1(2(1(2(0(0(1(1(2(2(2(0(1(1(2(2(2(1(2(z0)))))))))))))))))))) 0(1(0(2(0(1(2(2(0(1(0(0(2(0(1(2(2(z0))))))))))))))))) -> 1(2(2(1(2(1(2(2(1(0(0(0(0(0(0(0(2(z0))))))))))))))))) 0(1(0(2(2(0(2(2(0(2(1(0(2(1(0(0(2(z0))))))))))))))))) -> 1(1(1(0(1(2(2(0(2(2(1(2(2(0(1(0(1(0(z0)))))))))))))))))) 0(2(0(2(2(2(0(1(0(2(0(2(0(2(1(2(0(z0))))))))))))))))) -> 1(0(1(1(0(2(2(0(1(2(1(0(0(1(2(1(0(1(z0)))))))))))))))))) 0(2(0(2(2(1(0(1(2(0(0(2(1(0(2(2(1(1(z0)))))))))))))))))) -> 1(1(1(0(2(0(1(2(0(2(2(0(1(0(1(0(0(1(1(z0))))))))))))))))))) 0(2(2(2(0(1(0(2(0(1(0(0(0(2(2(2(2(0(z0)))))))))))))))))) -> 2(1(2(1(2(0(0(0(2(0(0(1(1(0(2(1(2(0(0(2(z0)))))))))))))))))))) 0(1(0(0(0(0(0(2(2(1(0(2(2(0(2(1(2(2(1(z0))))))))))))))))))) -> 2(1(2(1(1(1(2(1(1(0(2(2(0(1(0(0(2(0(2(1(1(0(1(1(2(1(z0)))))))))))))))))))))))))) 0(1(0(2(0(2(2(1(2(2(1(0(2(0(1(0(2(2(2(z0))))))))))))))))))) -> 0(1(0(2(2(1(1(0(1(2(0(2(1(2(1(2(1(1(1(1(z0)))))))))))))))))))) 0(0(1(0(0(0(2(2(1(0(2(1(2(1(2(2(2(0(0(2(z0)))))))))))))))))))) -> 0(0(2(0(2(1(1(2(0(0(1(1(2(1(1(1(2(1(1(1(1(0(1(z0))))))))))))))))))))))) 0(1(2(1(0(1(0(2(2(2(2(1(0(2(1(0(1(1(1(1(z0)))))))))))))))))))) -> 0(1(1(1(1(0(1(1(2(0(0(2(2(0(1(2(1(1(2(2(z0)))))))))))))))))))) 0(0(1(2(2(2(1(2(2(0(0(0(2(1(2(1(2(1(2(2(2(z0))))))))))))))))))))) -> 1(1(2(1(1(1(1(2(1(1(0(2(1(0(0(2(1(2(1(2(1(0(0(z0))))))))))))))))))))))) 0(0(2(2(0(1(2(0(0(0(1(2(2(2(0(0(1(1(0(2(0(z0))))))))))))))))))))) -> 1(2(1(0(1(1(1(2(1(2(0(2(1(1(2(0(2(2(1(2(0(0(1(1(0(2(z0)))))))))))))))))))))))))) 0(2(2(0(1(0(0(0(2(2(1(0(1(2(0(1(0(1(0(0(0(z0))))))))))))))))))))) -> 0(0(2(1(1(2(1(0(2(0(1(2(1(0(2(1(1(2(2(0(0(1(0(2(z0)))))))))))))))))))))))) 0(2(2(0(1(2(2(2(2(1(2(0(2(1(0(1(0(2(0(1(2(z0))))))))))))))))))))) -> 0(2(0(0(2(1(1(0(1(1(1(0(2(2(2(1(1(1(1(2(0(0(0(z0))))))))))))))))))))))) 0(0(1(2(2(0(1(1(2(0(1(0(0(0(0(1(0(1(2(2(2(1(z0)))))))))))))))))))))) -> 1(1(1(1(2(2(2(0(2(0(2(2(1(0(2(0(2(1(2(1(2(1(1(1(0(1(z0)))))))))))))))))))))))))) 0(0(1(2(0(0(1(0(0(2(0(1(0(1(2(0(2(0(0(2(2(0(2(z0))))))))))))))))))))))) -> 0(0(1(0(1(2(2(0(1(0(0(2(0(1(1(1(0(1(2(1(2(0(0(1(0(1(z0)))))))))))))))))))))))))) 0(1(0(1(1(0(1(1(0(2(2(0(2(1(0(0(2(0(0(1(2(0(2(0(2(z0))))))))))))))))))))))))) -> 1(1(2(1(1(1(1(2(0(2(0(2(1(2(2(0(1(1(2(0(1(1(0(2(2(2(0(z0))))))))))))))))))))))))))) 0(1(2(2(1(0(0(2(1(1(2(0(1(0(2(0(1(0(1(2(2(0(1(1(0(z0))))))))))))))))))))))))) -> 0(1(1(1(2(1(1(2(2(0(0(0(0(1(1(2(0(0(0(2(1(2(1(1(0(1(z0)))))))))))))))))))))))))) 0(0(0(1(0(2(1(2(0(1(2(0(0(2(1(0(2(0(2(2(2(2(0(2(0(0(z0)))))))))))))))))))))))))) -> 0(2(1(0(0(1(0(1(0(0(1(0(1(0(0(2(2(0(1(1(1(1(1(0(1(1(0(2(0(z0))))))))))))))))))))))))))))) 0(0(1(2(2(0(1(2(0(0(0(2(0(2(1(2(0(0(0(2(0(2(2(2(0(1(z0)))))))))))))))))))))))))) -> 1(1(0(1(2(1(2(1(1(1(0(0(1(1(2(2(0(2(0(0(2(0(0(1(1(2(1(z0))))))))))))))))))))))))))) 0(2(0(2(2(2(0(1(1(2(2(2(0(0(1(2(0(2(2(1(2(0(0(1(2(2(z0)))))))))))))))))))))))))) -> 0(1(1(2(1(0(2(1(1(1(1(2(1(1(1(2(1(1(2(0(2(0(2(2(1(2(1(2(0(z0))))))))))))))))))))))))))))) 0(1(0(0(2(0(0(2(2(2(0(1(2(1(1(1(2(0(1(1(0(0(0(1(0(1(0(z0))))))))))))))))))))))))))) -> 0(1(0(0(1(0(1(2(0(2(0(0(2(0(1(2(2(1(1(1(0(1(2(1(0(0(0(z0))))))))))))))))))))))))))) 0(1(1(2(0(0(2(2(0(0(1(2(2(2(1(2(2(2(2(0(2(0(2(0(0(0(1(z0))))))))))))))))))))))))))) -> 0(1(0(1(1(2(0(1(0(1(1(1(0(2(2(0(1(1(0(0(0(2(0(1(1(1(0(0(z0)))))))))))))))))))))))))))) 0(0(0(0(0(1(0(2(2(2(0(0(2(0(1(0(1(2(1(1(0(1(0(2(0(0(1(0(z0)))))))))))))))))))))))))))) -> 1(0(2(1(2(1(2(1(1(2(1(1(1(1(1(1(1(1(0(2(2(1(2(1(1(1(0(1(0(1(z0)))))))))))))))))))))))))))))) 0(0(1(1(2(2(0(1(1(0(1(2(2(0(2(0(2(1(0(0(1(1(0(1(0(0(0(1(1(z0))))))))))))))))))))))))))))) -> 0(1(2(0(1(1(0(1(1(0(2(1(2(1(1(0(2(1(1(2(2(1(1(2(1(2(2(2(0(2(z0)))))))))))))))))))))))))))))) 0(2(2(1(0(1(2(0(1(0(1(2(0(1(1(0(1(2(0(0(2(0(1(2(0(1(1(2(1(z0))))))))))))))))))))))))))))) -> 0(1(2(1(2(1(2(2(2(1(1(0(0(1(2(2(2(2(2(2(2(1(0(0(0(1(2(0(0(1(z0)))))))))))))))))))))))))))))) 2(0(z0)) -> 1(1(0(z0))) 2(0(0(z0))) -> 0(1(2(1(1(z0))))) 2(1(0(1(2(0(0(z0))))))) -> 1(1(1(0(1(2(2(1(1(z0))))))))) 2(2(0(0(2(0(0(z0))))))) -> 2(0(1(1(0(0(2(1(1(z0))))))))) 2(2(0(2(1(0(1(z0))))))) -> 0(1(0(1(2(1(1(2(1(1(z0)))))))))) 2(0(2(1(1(2(2(0(z0)))))))) -> 2(0(0(2(2(1(2(1(z0)))))))) 2(1(2(0(1(0(2(2(z0)))))))) -> 2(1(0(1(1(1(2(1(0(z0))))))))) 2(1(0(1(2(1(2(2(2(z0))))))))) -> 1(1(0(1(0(0(1(1(1(1(2(z0))))))))))) 2(2(0(2(1(0(1(0(1(z0))))))))) -> 2(1(1(1(0(2(0(2(0(z0))))))))) 2(0(1(0(0(1(0(0(2(2(z0)))))))))) -> 1(2(2(1(1(2(2(0(2(0(2(1(1(z0))))))))))))) 2(1(0(0(0(0(2(0(0(0(2(0(z0)))))))))))) -> 1(2(1(2(2(0(2(2(1(2(1(1(0(1(1(z0))))))))))))))) 2(0(2(0(1(2(2(0(2(1(0(0(0(z0))))))))))))) -> 1(1(1(1(2(0(1(0(1(0(2(0(1(1(2(1(z0)))))))))))))))) 2(2(2(2(0(0(1(2(2(1(1(0(0(z0))))))))))))) -> 2(2(2(0(0(2(0(1(1(0(1(1(1(1(1(z0))))))))))))))) 2(0(2(0(2(2(0(2(0(1(0(0(0(0(1(2(z0)))))))))))))))) -> 1(1(2(1(0(0(2(1(1(2(1(2(1(1(2(1(2(1(2(2(0(2(z0)))))))))))))))))))))) 2(0(2(2(2(2(1(2(0(1(0(1(0(2(2(1(z0)))))))))))))))) -> 2(1(2(1(2(2(2(0(0(1(2(2(1(0(0(2(z0)))))))))))))))) 2(1(2(0(1(2(1(0(0(2(0(0(2(0(0(1(2(z0))))))))))))))))) -> 1(2(1(2(1(1(2(0(2(0(2(1(1(1(1(0(2(1(1(z0))))))))))))))))))) 2(2(2(2(0(0(1(0(1(1(1(2(0(2(0(2(2(0(0(z0))))))))))))))))))) -> 2(0(0(0(1(1(0(2(2(2(1(2(0(0(1(1(2(1(1(1(2(1(2(z0))))))))))))))))))))))) 2(0(0(2(2(2(1(1(2(2(0(2(1(0(0(0(2(2(1(0(1(z0))))))))))))))))))))) -> 2(1(1(2(1(1(1(0(1(2(2(1(2(0(0(0(2(0(0(1(2(0(z0)))))))))))))))))))))) 2(0(2(2(2(0(0(1(2(2(1(1(2(0(0(0(2(0(0(0(2(z0))))))))))))))))))))) -> 1(1(1(0(1(2(2(1(2(2(2(1(1(1(1(1(1(1(0(2(1(0(1(0(z0)))))))))))))))))))))))) 2(1(2(1(1(2(0(0(1(1(0(1(1(2(1(1(1(1(0(1(2(z0))))))))))))))))))))) -> 1(1(1(1(2(1(0(1(0(1(2(2(1(2(1(1(1(0(0(1(2(z0))))))))))))))))))))) 2(2(0(0(2(1(0(1(0(0(0(0(0(1(0(0(2(0(0(1(1(z0))))))))))))))))))))) -> 2(0(2(0(2(0(0(0(2(2(1(1(2(2(2(1(1(1(1(1(2(1(2(z0))))))))))))))))))))))) 2(2(0(2(1(1(0(1(2(0(1(1(2(0(2(0(1(0(2(0(1(z0))))))))))))))))))))) -> 2(1(2(1(0(1(1(1(1(0(2(2(2(1(2(2(1(2(1(1(0(2(z0)))))))))))))))))))))) 2(0(0(1(1(2(2(2(2(1(2(0(1(2(0(2(2(1(2(2(0(2(z0)))))))))))))))))))))) -> 1(1(1(0(0(2(2(2(1(2(2(0(1(1(1(1(2(1(0(1(1(2(0(2(2(z0))))))))))))))))))))))))) 2(0(1(2(2(0(1(0(0(0(2(1(2(1(2(0(1(1(2(0(1(0(z0)))))))))))))))))))))) -> 0(2(1(1(0(2(1(1(0(1(1(2(2(0(1(2(2(1(0(1(1(1(0(z0))))))))))))))))))))))) 2(2(1(0(1(1(2(0(2(1(1(0(0(1(2(1(2(2(2(0(2(1(z0)))))))))))))))))))))) -> 2(1(1(2(1(2(0(2(1(1(1(1(2(1(1(2(1(1(0(1(1(2(2(1(1(z0))))))))))))))))))))))))) 2(2(2(0(0(1(0(2(0(2(0(0(1(2(1(2(1(2(0(1(1(1(z0)))))))))))))))))))))) -> 1(1(2(1(2(1(2(1(2(1(0(2(0(1(1(0(1(0(0(2(0(2(1(2(1(z0))))))))))))))))))))))))) 2(2(1(2(0(0(0(0(1(2(1(0(1(0(2(0(1(0(0(1(2(0(2(z0))))))))))))))))))))))) -> 2(1(1(2(2(2(2(1(0(1(2(0(1(1(1(1(1(2(1(2(1(1(0(2(1(1(0(0(2(z0))))))))))))))))))))))))))))) 2(1(1(2(0(0(0(2(0(2(2(2(2(0(1(0(1(0(2(2(1(1(1(2(z0)))))))))))))))))))))))) -> 2(1(1(2(1(1(2(1(2(1(2(0(1(1(0(0(0(1(1(1(2(1(2(1(1(z0))))))))))))))))))))))))) 2(1(2(2(0(0(2(0(0(0(1(1(2(0(1(1(2(2(2(0(0(0(2(1(2(1(z0)))))))))))))))))))))))))) -> 1(1(0(0(0(1(1(0(2(0(1(2(1(1(1(1(2(1(1(1(1(2(1(0(1(2(2(1(z0)))))))))))))))))))))))))))) 2(2(0(2(1(2(0(2(0(2(0(0(0(2(1(2(2(0(1(0(1(0(1(0(1(0(z0)))))))))))))))))))))))))) -> 1(1(0(1(2(1(0(2(2(2(0(1(2(1(1(1(2(2(2(2(1(2(2(1(0(2(2(2(0(z0))))))))))))))))))))))))))))) 2(2(2(0(0(1(0(1(2(0(0(0(2(0(2(2(0(1(0(0(2(1(2(2(2(2(z0)))))))))))))))))))))))))) -> 2(1(2(1(0(1(2(0(1(0(2(2(0(1(1(2(0(1(2(2(2(2(0(0(0(1(2(z0))))))))))))))))))))))))))) 2(2(2(2(0(1(1(2(0(2(0(1(1(2(0(1(2(1(1(2(2(1(2(1(2(2(z0)))))))))))))))))))))))))) -> 2(0(0(1(1(2(2(1(1(1(1(0(1(2(1(2(1(1(2(1(2(2(1(0(2(1(1(0(2(z0))))))))))))))))))))))))))))) 2(0(2(0(1(2(0(1(0(2(2(2(0(1(1(0(0(1(1(2(2(2(1(0(1(2(1(z0))))))))))))))))))))))))))) -> 2(1(0(1(1(1(1(2(1(2(0(2(0(1(2(2(0(2(1(2(1(1(2(0(2(2(1(0(z0)))))))))))))))))))))))))))) 2(2(2(0(2(1(2(2(1(0(1(1(1(0(1(2(1(1(2(1(2(0(1(0(2(2(1(z0))))))))))))))))))))))))))) -> 0(1(0(1(2(1(2(2(1(2(1(2(1(0(2(1(2(2(1(1(2(1(1(0(2(0(2(z0))))))))))))))))))))))))))) 2(0(1(1(1(0(0(0(0(2(0(1(2(0(1(0(1(2(2(0(2(2(2(0(2(1(0(0(z0)))))))))))))))))))))))))))) -> 1(1(0(1(1(2(2(1(2(1(0(2(0(0(2(1(1(1(1(2(0(1(0(1(1(1(1(2(1(1(z0)))))))))))))))))))))))))))))) 2(2(2(2(2(1(0(2(2(0(2(1(0(0(1(1(2(1(1(1(1(2(2(0(0(2(2(0(z0)))))))))))))))))))))))))))) -> 2(1(1(0(1(1(2(2(2(2(2(1(1(1(0(2(1(0(1(1(0(2(2(1(0(2(1(1(1(2(z0)))))))))))))))))))))))))))))) 2(1(1(2(1(1(1(0(2(1(1(2(1(1(2(2(1(1(2(0(1(0(1(2(0(1(0(0(1(z0))))))))))))))))))))))))))))) -> 2(2(1(1(1(0(1(2(1(0(1(2(1(1(1(2(1(0(2(0(1(2(1(0(0(1(1(2(1(z0))))))))))))))))))))))))))))) 1(1(2(2(0(1(0(1(1(z0))))))))) -> 1(1(1(0(1(1(0(1(1(1(1(z0))))))))))) 1(0(1(1(0(2(2(0(2(0(z0)))))))))) -> 1(1(0(2(2(1(0(2(0(0(z0)))))))))) 1(0(1(2(2(0(0(2(2(1(z0)))))))))) -> 1(0(1(2(0(1(0(1(1(1(1(2(z0)))))))))))) 1(2(2(2(2(0(2(1(0(0(0(z0))))))))))) -> 2(1(1(2(0(1(0(0(1(0(1(1(z0)))))))))))) 1(0(0(0(2(1(0(0(0(2(0(2(2(0(2(z0))))))))))))))) -> 1(1(1(0(0(2(1(0(1(2(1(0(0(0(0(2(z0)))))))))))))))) 1(0(1(2(0(1(1(0(2(1(0(2(0(1(0(z0))))))))))))))) -> 1(0(0(1(1(1(2(1(0(2(0(1(0(1(1(1(0(z0))))))))))))))))) 1(1(0(1(0(2(1(0(2(0(1(2(2(2(2(1(1(z0))))))))))))))))) -> 1(1(2(2(1(1(0(0(2(0(0(1(1(0(2(2(1(1(z0)))))))))))))))))) 1(2(2(2(0(2(1(2(0(1(0(2(1(0(2(1(0(z0))))))))))))))))) -> 1(1(1(2(1(0(1(1(2(2(0(1(2(1(2(1(0(0(2(1(2(1(2(z0))))))))))))))))))))))) 1(0(1(1(2(0(1(1(0(0(2(1(0(0(2(2(0(0(0(z0))))))))))))))))))) -> 2(1(1(0(1(1(2(1(2(2(2(2(1(1(1(1(2(1(1(2(0(0(2(1(z0)))))))))))))))))))))))) 1(0(1(2(0(1(0(2(2(1(0(1(0(0(2(2(2(0(0(z0))))))))))))))))))) -> 1(0(2(1(1(1(1(0(2(1(0(1(2(0(0(2(1(1(0(0(1(1(0(2(z0)))))))))))))))))))))))) 1(2(0(2(2(0(0(1(0(0(2(0(2(2(1(0(1(0(2(z0))))))))))))))))))) -> 2(2(1(2(1(0(2(1(2(2(1(2(2(0(2(2(0(2(0(0(1(1(1(z0))))))))))))))))))))))) 1(1(0(0(1(2(1(0(0(1(1(2(1(0(0(0(1(2(1(2(z0)))))))))))))))))))) -> 2(2(1(2(1(2(1(0(0(1(1(1(2(1(1(1(1(1(1(1(1(2(1(z0))))))))))))))))))))))) 1(1(0(2(2(0(0(0(2(1(2(1(0(1(0(0(0(0(0(1(z0)))))))))))))))))))) -> 1(2(1(1(2(1(0(0(1(2(1(2(1(2(2(2(1(0(2(1(0(0(z0)))))))))))))))))))))) 1(0(0(0(1(2(1(2(0(2(0(0(1(0(0(0(1(2(1(0(2(z0))))))))))))))))))))) -> 2(2(2(2(1(1(2(1(0(1(0(2(2(1(0(0(1(1(1(1(0(1(0(z0))))))))))))))))))))))) 1(0(2(1(1(1(1(0(0(2(2(0(1(0(1(0(2(2(0(0(0(z0))))))))))))))))))))) -> 1(1(1(1(0(2(1(2(2(1(1(1(0(2(2(1(2(2(1(0(1(2(z0)))))))))))))))))))))) 1(0(1(1(0(0(1(1(1(0(2(2(0(1(0(0(1(2(0(0(2(0(z0)))))))))))))))))))))) -> 1(1(1(2(2(0(2(1(2(0(2(0(0(0(1(2(1(2(1(2(0(2(1(z0))))))))))))))))))))))) 1(2(0(2(1(2(0(0(0(0(0(0(2(2(1(0(2(2(0(2(1(0(0(1(z0)))))))))))))))))))))))) -> 1(0(1(0(0(2(2(1(1(2(0(2(2(0(0(2(0(1(0(1(1(1(1(2(2(2(1(z0))))))))))))))))))))))))))) 1(2(2(1(2(0(1(2(0(1(2(1(0(0(0(2(2(2(0(2(2(0(2(1(z0)))))))))))))))))))))))) -> 2(1(0(2(0(2(1(1(1(1(2(0(0(1(0(2(1(0(2(0(2(0(1(1(2(z0))))))))))))))))))))))))) 1(0(1(0(0(0(2(0(1(2(0(2(0(2(0(1(0(2(2(0(0(1(0(1(1(z0))))))))))))))))))))))))) -> 1(2(0(0(2(0(1(0(1(0(2(2(1(1(0(0(0(1(2(1(1(1(1(0(2(1(z0)))))))))))))))))))))))))) 1(1(0(2(0(1(2(1(0(0(1(0(0(2(1(0(2(0(1(0(0(0(1(0(1(z0))))))))))))))))))))))))) -> 2(1(0(2(0(0(1(1(2(2(1(2(0(2(2(1(2(1(2(2(1(0(2(1(2(1(z0)))))))))))))))))))))))))) 1(0(1(1(1(2(2(1(0(1(0(2(1(1(0(2(1(0(1(2(1(0(2(2(1(0(0(z0))))))))))))))))))))))))))) -> 2(2(2(2(1(2(1(1(1(2(2(2(1(2(2(2(1(1(0(1(1(2(1(0(2(2(1(1(z0)))))))))))))))))))))))))))) 1(2(2(1(1(2(2(1(1(2(1(2(2(0(0(1(2(1(0(1(1(0(1(0(0(2(2(0(z0)))))))))))))))))))))))))))) -> 1(2(1(2(1(0(1(2(2(2(1(2(0(0(0(2(1(0(0(1(1(1(0(0(1(1(1(1(1(0(z0)))))))))))))))))))))))))))))) ---------------------------------------- (16) Obligation: Complexity Dependency Tuples Problem Rules: encArg(cons_0(z0)) -> 0(encArg(z0)) encArg(cons_2(z0)) -> 2(encArg(z0)) encArg(cons_1(z0)) -> 1(encArg(z0)) 0(z0) -> 1(1(z0)) 2(2(1(z0))) -> 1(1(0(1(1(z0))))) Tuples: ENCARG(cons_0(z0)) -> c(0'(encArg(z0)), ENCARG(z0)) ENCARG(cons_2(z0)) -> c1(2'(encArg(z0)), ENCARG(z0)) ENCARG(cons_1(z0)) -> c2(ENCARG(z0)) 0'(z0) -> c6 2'(2(1(z0))) -> c58(0'(1(1(z0)))) ENCODE_0(z0) -> c7(0'(encArg(z0))) ENCODE_2(z0) -> c7(2'(encArg(z0))) S tuples: 0'(z0) -> c6 2'(2(1(z0))) -> c58(0'(1(1(z0)))) K tuples:none Defined Rule Symbols: encArg_1, 0_1, 2_1 Defined Pair Symbols: ENCARG_1, 0'_1, 2'_1, ENCODE_0_1, ENCODE_2_1 Compound Symbols: c_2, c1_2, c2_1, c6, c58_1, c7_1 ---------------------------------------- (17) CdtRuleRemovalProof (UPPER BOUND(ADD(n^1))) Found a reduction pair which oriented the following tuples strictly. Hence they can be removed from S. 0'(z0) -> c6 We considered the (Usable) Rules: 2(2(1(z0))) -> 1(1(0(1(1(z0))))) encArg(cons_2(z0)) -> 2(encArg(z0)) encArg(cons_1(z0)) -> 1(encArg(z0)) encArg(cons_0(z0)) -> 0(encArg(z0)) 0(z0) -> 1(1(z0)) And the Tuples: ENCARG(cons_0(z0)) -> c(0'(encArg(z0)), ENCARG(z0)) ENCARG(cons_2(z0)) -> c1(2'(encArg(z0)), ENCARG(z0)) ENCARG(cons_1(z0)) -> c2(ENCARG(z0)) 0'(z0) -> c6 2'(2(1(z0))) -> c58(0'(1(1(z0)))) ENCODE_0(z0) -> c7(0'(encArg(z0))) ENCODE_2(z0) -> c7(2'(encArg(z0))) The order we found is given by the following interpretation: Polynomial interpretation : POL(0(x_1)) = [1] POL(0'(x_1)) = [1] POL(1(x_1)) = [1] POL(2(x_1)) = x_1 POL(2'(x_1)) = x_1 POL(ENCARG(x_1)) = x_1 POL(ENCODE_0(x_1)) = [1] POL(ENCODE_2(x_1)) = [1] POL(c(x_1, x_2)) = x_1 + x_2 POL(c1(x_1, x_2)) = x_1 + x_2 POL(c2(x_1)) = x_1 POL(c58(x_1)) = x_1 POL(c6) = 0 POL(c7(x_1)) = x_1 POL(cons_0(x_1)) = [1] + x_1 POL(cons_1(x_1)) = [1] + x_1 POL(cons_2(x_1)) = [1] + x_1 POL(encArg(x_1)) = [1] ---------------------------------------- (18) Obligation: Complexity Dependency Tuples Problem Rules: encArg(cons_0(z0)) -> 0(encArg(z0)) encArg(cons_2(z0)) -> 2(encArg(z0)) encArg(cons_1(z0)) -> 1(encArg(z0)) 0(z0) -> 1(1(z0)) 2(2(1(z0))) -> 1(1(0(1(1(z0))))) Tuples: ENCARG(cons_0(z0)) -> c(0'(encArg(z0)), ENCARG(z0)) ENCARG(cons_2(z0)) -> c1(2'(encArg(z0)), ENCARG(z0)) ENCARG(cons_1(z0)) -> c2(ENCARG(z0)) 0'(z0) -> c6 2'(2(1(z0))) -> c58(0'(1(1(z0)))) ENCODE_0(z0) -> c7(0'(encArg(z0))) ENCODE_2(z0) -> c7(2'(encArg(z0))) S tuples: 2'(2(1(z0))) -> c58(0'(1(1(z0)))) K tuples: 0'(z0) -> c6 Defined Rule Symbols: encArg_1, 0_1, 2_1 Defined Pair Symbols: ENCARG_1, 0'_1, 2'_1, ENCODE_0_1, ENCODE_2_1 Compound Symbols: c_2, c1_2, c2_1, c6, c58_1, c7_1 ---------------------------------------- (19) CdtRuleRemovalProof (UPPER BOUND(ADD(n^1))) Found a reduction pair which oriented the following tuples strictly. Hence they can be removed from S. 2'(2(1(z0))) -> c58(0'(1(1(z0)))) We considered the (Usable) Rules: 2(2(1(z0))) -> 1(1(0(1(1(z0))))) encArg(cons_2(z0)) -> 2(encArg(z0)) encArg(cons_1(z0)) -> 1(encArg(z0)) encArg(cons_0(z0)) -> 0(encArg(z0)) 0(z0) -> 1(1(z0)) And the Tuples: ENCARG(cons_0(z0)) -> c(0'(encArg(z0)), ENCARG(z0)) ENCARG(cons_2(z0)) -> c1(2'(encArg(z0)), ENCARG(z0)) ENCARG(cons_1(z0)) -> c2(ENCARG(z0)) 0'(z0) -> c6 2'(2(1(z0))) -> c58(0'(1(1(z0)))) ENCODE_0(z0) -> c7(0'(encArg(z0))) ENCODE_2(z0) -> c7(2'(encArg(z0))) The order we found is given by the following interpretation: Polynomial interpretation : POL(0(x_1)) = [1] POL(0'(x_1)) = x_1 POL(1(x_1)) = 0 POL(2(x_1)) = [1] POL(2'(x_1)) = x_1 POL(ENCARG(x_1)) = x_1 POL(ENCODE_0(x_1)) = [1] POL(ENCODE_2(x_1)) = [1] + x_1 POL(c(x_1, x_2)) = x_1 + x_2 POL(c1(x_1, x_2)) = x_1 + x_2 POL(c2(x_1)) = x_1 POL(c58(x_1)) = x_1 POL(c6) = 0 POL(c7(x_1)) = x_1 POL(cons_0(x_1)) = [1] + x_1 POL(cons_1(x_1)) = [1] + x_1 POL(cons_2(x_1)) = [1] + x_1 POL(encArg(x_1)) = [1] ---------------------------------------- (20) Obligation: Complexity Dependency Tuples Problem Rules: encArg(cons_0(z0)) -> 0(encArg(z0)) encArg(cons_2(z0)) -> 2(encArg(z0)) encArg(cons_1(z0)) -> 1(encArg(z0)) 0(z0) -> 1(1(z0)) 2(2(1(z0))) -> 1(1(0(1(1(z0))))) Tuples: ENCARG(cons_0(z0)) -> c(0'(encArg(z0)), ENCARG(z0)) ENCARG(cons_2(z0)) -> c1(2'(encArg(z0)), ENCARG(z0)) ENCARG(cons_1(z0)) -> c2(ENCARG(z0)) 0'(z0) -> c6 2'(2(1(z0))) -> c58(0'(1(1(z0)))) ENCODE_0(z0) -> c7(0'(encArg(z0))) ENCODE_2(z0) -> c7(2'(encArg(z0))) S tuples:none K tuples: 0'(z0) -> c6 2'(2(1(z0))) -> c58(0'(1(1(z0)))) Defined Rule Symbols: encArg_1, 0_1, 2_1 Defined Pair Symbols: ENCARG_1, 0'_1, 2'_1, ENCODE_0_1, ENCODE_2_1 Compound Symbols: c_2, c1_2, c2_1, c6, c58_1, c7_1 ---------------------------------------- (21) SIsEmptyProof (BOTH BOUNDS(ID, ID)) The set S is empty ---------------------------------------- (22) BOUNDS(1, 1)