/export/starexec/sandbox/solver/bin/starexec_run_rcdcRelativeAlsoLower /export/starexec/sandbox/benchmark/theBenchmark.xml /export/starexec/sandbox/output/output_files -------------------------------------------------------------------------------- KILLED 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# AProVE Commit ID: 794c25de1cacf0d048858bcd21c9a779e1221865 marcel 20200619 unpublished dirty The Derivational Complexity (innermost) of the given DCpxTrs could be proven to be BOUNDS(1, INF). (0) DCpxTrs (1) DerivationalComplexityToRuntimeComplexityProof [BOTH BOUNDS(ID, ID), 0 ms] (2) CpxRelTRS (3) SInnermostTerminationProof [BOTH CONCRETE BOUNDS(ID, ID), 128 ms] (4) CpxRelTRS (5) RelTrsToDecreasingLoopProblemProof [LOWER BOUND(ID), 0 ms] (6) TRS for Loop Detection (7) RenamingProof [BOTH BOUNDS(ID, ID), 0 ms] (8) CpxRelTRS (9) TypeInferenceProof [BOTH BOUNDS(ID, ID), 6 ms] (10) typed CpxTrs (11) OrderProof [LOWER BOUND(ID), 0 ms] (12) typed CpxTrs (13) RelTrsToTrsProof [UPPER BOUND(ID), 0 ms] (14) CpxTRS (15) NonCtorToCtorProof [UPPER BOUND(ID), 0 ms] (16) CpxRelTRS (17) RelTrsToWeightedTrsProof [BOTH BOUNDS(ID, ID), 0 ms] (18) CpxWeightedTrs (19) CpxWeightedTrsRenamingProof [BOTH BOUNDS(ID, ID), 33 ms] (20) CpxWeightedTrs (21) TypeInferenceProof [BOTH BOUNDS(ID, ID), 0 ms] (22) CpxTypedWeightedTrs (23) CompletionProof [UPPER BOUND(ID), 0 ms] (24) CpxTypedWeightedCompleteTrs (25) NarrowingProof [BOTH BOUNDS(ID, ID), 1780 ms] (26) CpxTypedWeightedCompleteTrs (27) CpxTypedWeightedTrsToRntsProof [UPPER BOUND(ID), 0 ms] (28) CpxRNTS (29) SimplificationProof [BOTH BOUNDS(ID, ID), 4 ms] (30) CpxRNTS (31) CompletionProof [UPPER BOUND(ID), 10 ms] (32) CpxTypedWeightedCompleteTrs (33) CpxTypedWeightedTrsToRntsProof [UPPER BOUND(ID), 27 ms] (34) CpxRNTS (35) CpxTrsToCdtProof [UPPER BOUND(ID), 14.8 s] (36) CdtProblem (37) CdtLeafRemovalProof [ComplexityIfPolyImplication, 0 ms] (38) CdtProblem (39) CdtRhsSimplificationProcessorProof [BOTH BOUNDS(ID, ID), 621 ms] (40) CdtProblem (41) CdtGraphSplitRhsProof [BOTH BOUNDS(ID, ID), 0 ms] (42) CdtProblem (43) CdtLeafRemovalProof [ComplexityIfPolyImplication, 0 ms] (44) CdtProblem (45) CdtUsableRulesProof [BOTH BOUNDS(ID, ID), 69.3 s] (46) CdtProblem (47) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 19.3 s] (48) CdtProblem (49) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 19.4 s] (50) CdtProblem ---------------------------------------- (0) Obligation: The Derivational Complexity (innermost) of the given DCpxTrs could be proven to be BOUNDS(1, INF). The TRS R consists of the following rules: 0(0(1(1(0(0(0(1(x1)))))))) -> 0(2(0(1(0(1(1(1(1(x1))))))))) 2(2(0(0(2(1(0(1(x1)))))))) -> 1(2(2(0(0(1(2(0(x1)))))))) 1(2(1(0(0(1(2(1(1(x1))))))))) -> 1(0(2(0(1(1(2(1(1(x1))))))))) 0(1(2(1(1(1(0(2(0(2(x1)))))))))) -> 0(2(0(2(0(2(0(2(0(1(2(x1))))))))))) 1(0(2(1(0(0(1(0(1(2(x1)))))))))) -> 1(2(0(0(1(1(0(0(1(2(x1)))))))))) 1(1(0(1(2(2(2(2(0(2(1(1(x1)))))))))))) -> 1(1(0(1(2(2(0(2(0(1(2(2(2(x1))))))))))))) 2(1(2(0(0(0(0(1(2(0(1(1(1(x1))))))))))))) -> 0(0(2(0(2(0(0(2(0(0(0(1(1(1(x1)))))))))))))) 0(1(0(1(2(0(0(1(0(0(1(2(1(0(1(0(x1)))))))))))))))) -> 0(1(1(1(1(2(0(2(1(0(0(0(1(0(0(0(x1)))))))))))))))) 0(1(0(1(1(0(1(2(2(1(1(1(0(2(1(1(1(x1))))))))))))))))) -> 0(2(1(1(0(2(2(0(2(2(0(0(2(0(1(2(1(2(x1)))))))))))))))))) 1(2(0(1(0(0(0(1(2(2(1(1(2(0(1(0(1(1(0(x1))))))))))))))))))) -> 2(0(2(1(0(2(2(2(0(0(0(2(2(2(2(0(2(0(2(0(x1)))))))))))))))))))) 2(1(1(1(0(0(1(2(1(0(0(2(1(0(1(1(0(1(1(0(x1)))))))))))))))))))) -> 1(0(2(1(0(2(0(2(2(0(0(2(0(0(0(2(0(1(1(1(2(0(x1)))))))))))))))))))))) 1(0(1(0(2(2(2(2(0(1(1(0(1(2(2(0(2(1(0(1(1(x1))))))))))))))))))))) -> 2(0(0(0(2(2(1(2(0(2(0(1(0(0(2(0(2(0(0(2(1(0(x1)))))))))))))))))))))) 2(2(1(1(0(2(1(1(1(2(1(2(2(2(2(1(2(1(0(2(2(x1))))))))))))))))))))) -> 1(2(1(2(2(0(0(2(0(0(0(2(2(1(0(2(0(0(2(0(2(1(x1)))))))))))))))))))))) 2(1(2(2(0(2(2(0(0(2(1(1(2(2(1(2(2(0(1(0(1(1(x1)))))))))))))))))))))) -> 1(0(1(1(2(1(1(2(1(0(0(0(1(0(0(2(0(0(2(0(1(0(1(x1))))))))))))))))))))))) 0(1(2(0(1(1(1(1(2(2(0(2(2(1(0(0(0(1(0(2(1(1(1(x1))))))))))))))))))))))) -> 0(1(0(0(2(0(1(1(2(2(0(0(1(0(2(0(1(1(1(1(1(2(2(2(x1)))))))))))))))))))))))) 2(2(0(0(0(1(0(2(1(0(1(0(0(0(1(0(2(2(2(1(0(0(0(x1))))))))))))))))))))))) -> 0(0(2(0(0(1(2(0(0(1(1(0(2(0(2(2(0(1(0(2(1(0(0(x1))))))))))))))))))))))) 0(0(0(2(2(0(2(1(1(0(0(2(2(1(2(0(1(0(1(0(1(1(0(0(x1)))))))))))))))))))))))) -> 0(0(1(0(2(0(0(1(2(2(2(2(2(1(0(1(2(1(2(0(1(1(1(1(1(x1))))))))))))))))))))))))) 1(1(0(1(1(1(1(0(1(0(0(2(1(1(2(0(0(1(1(0(2(0(0(0(x1)))))))))))))))))))))))) -> 2(0(0(2(1(0(2(2(2(0(0(2(2(2(2(0(0(0(2(0(1(2(0(0(0(x1))))))))))))))))))))))))) 2(1(0(0(1(1(0(2(2(0(1(0(0(1(2(0(2(1(2(0(1(0(0(0(x1)))))))))))))))))))))))) -> 2(1(1(0(1(2(0(0(2(0(2(0(2(1(0(1(2(0(1(0(2(1(1(2(0(0(x1)))))))))))))))))))))))))) 2(2(2(1(0(0(2(0(1(0(2(1(0(2(1(0(0(1(1(0(0(0(2(0(2(x1))))))))))))))))))))))))) -> 1(0(2(0(1(0(1(0(2(0(1(1(1(2(1(0(2(0(2(0(2(2(0(0(2(0(2(x1))))))))))))))))))))))))))) 1(0(0(1(2(0(0(0(1(1(1(1(2(2(2(2(2(1(1(2(1(0(1(0(1(0(x1)))))))))))))))))))))))))) -> 1(0(1(0(2(2(0(2(0(1(1(2(2(1(2(2(2(2(0(0(1(1(0(1(0(2(0(x1))))))))))))))))))))))))))) 0(1(0(0(2(2(0(1(0(1(2(1(2(2(2(1(0(1(2(1(0(1(1(1(2(0(2(1(x1)))))))))))))))))))))))))))) -> 0(0(2(0(0(2(2(0(0(1(1(2(1(1(1(2(0(0(1(1(2(0(2(0(2(2(1(2(2(x1))))))))))))))))))))))))))))) 1(2(1(0(0(1(1(0(1(0(2(1(2(0(2(0(1(1(2(1(2(0(1(1(0(0(0(1(x1)))))))))))))))))))))))))))) -> 1(1(1(1(2(0(2(0(0(1(2(0(0(0(0(2(2(1(0(0(2(0(1(2(0(1(2(0(0(x1))))))))))))))))))))))))))))) 2(1(1(1(0(1(0(0(1(0(1(1(0(1(0(2(0(0(0(1(1(1(2(2(0(1(2(2(x1)))))))))))))))))))))))))))) -> 2(0(0(1(2(1(1(2(0(2(0(1(1(1(1(2(0(1(2(1(2(2(2(2(2(2(0(2(2(x1))))))))))))))))))))))))))))) 2(1(1(0(0(0(1(1(2(2(1(2(1(2(1(2(2(0(1(0(0(0(1(2(0(0(1(1(2(x1))))))))))))))))))))))))))))) -> 0(2(1(2(2(0(1(0(1(2(0(0(1(1(1(0(1(1(1(1(2(0(2(2(0(2(1(0(2(x1))))))))))))))))))))))))))))) 0(0(2(0(2(1(1(2(0(2(1(1(2(0(1(0(1(2(1(1(1(0(0(0(0(2(2(1(2(0(x1)))))))))))))))))))))))))))))) -> 0(0(2(0(1(1(1(0(0(2(1(1(2(0(0(2(2(0(1(1(1(2(0(2(0(2(1(2(1(0(x1)))))))))))))))))))))))))))))) 0(1(0(1(0(2(1(1(0(1(2(0(0(1(2(2(0(2(0(2(1(2(1(2(2(0(2(2(1(2(x1)))))))))))))))))))))))))))))) -> 0(2(2(1(0(0(0(2(2(1(0(2(0(2(0(1(2(0(1(2(0(1(2(0(2(0(1(2(1(2(1(x1))))))))))))))))))))))))))))))) 1(2(0(0(0(2(0(1(1(2(2(0(0(2(2(0(2(1(1(1(2(1(1(1(0(1(2(1(2(1(x1)))))))))))))))))))))))))))))) -> 1(0(2(0(1(1(2(0(2(1(0(0(1(2(2(0(1(1(2(0(2(2(1(2(2(2(2(1(1(1(2(x1))))))))))))))))))))))))))))))) 1(2(1(1(1(2(1(0(2(2(0(1(2(0(0(1(0(0(2(1(2(1(2(1(0(1(0(2(1(0(x1)))))))))))))))))))))))))))))) -> 1(0(1(0(0(0(2(0(1(1(1(2(2(2(2(1(0(2(0(2(2(1(1(0(1(2(2(1(1(1(0(x1))))))))))))))))))))))))))))))) 2(2(0(1(2(1(2(1(0(2(1(1(0(0(1(0(1(2(1(1(0(1(0(2(1(1(2(0(0(0(x1)))))))))))))))))))))))))))))) -> 1(0(0(1(0(0(2(1(2(2(1(0(2(1(2(2(1(0(1(1(2(1(0(2(0(1(2(2(0(2(0(x1))))))))))))))))))))))))))))))) 0(1(0(0(2(1(0(1(1(1(1(1(0(1(0(1(0(2(2(0(2(2(1(2(2(2(1(0(0(2(2(x1))))))))))))))))))))))))))))))) -> 0(0(2(1(1(2(0(1(2(2(2(0(2(1(2(2(0(2(1(0(0(1(2(0(0(2(0(1(0(2(0(2(x1)))))))))))))))))))))))))))))))) 0(0(1(1(1(1(2(2(0(0(2(1(2(2(1(0(2(1(0(0(1(1(0(2(0(2(2(2(2(0(2(1(x1)))))))))))))))))))))))))))))))) -> 0(0(1(1(1(2(1(2(2(0(0(1(2(2(1(2(2(1(2(0(1(0(2(0(0(2(0(2(1(0(2(1(x1)))))))))))))))))))))))))))))))) 1(2(2(2(1(0(0(2(0(0(1(1(1(2(1(1(1(2(2(1(2(0(2(1(0(1(2(1(1(1(2(2(x1)))))))))))))))))))))))))))))))) -> 1(1(1(2(1(0(2(1(0(2(1(1(2(2(1(2(1(1(1(2(1(0(2(0(0(2(0(2(2(1(1(2(x1)))))))))))))))))))))))))))))))) 1(2(2(0(2(1(2(0(2(2(1(1(1(2(1(2(1(2(2(2(2(2(0(0(0(0(1(0(0(0(1(1(2(0(x1)))))))))))))))))))))))))))))))))) -> 1(1(2(1(1(1(0(1(2(0(0(1(2(2(0(2(0(0(2(0(1(0(2(0(0(1(0(0(0(2(0(2(1(2(2(0(1(x1))))))))))))))))))))))))))))))))))))) 2(1(0(1(2(2(0(1(0(0(0(2(1(1(0(1(2(1(1(0(0(2(2(0(1(1(1(2(1(1(1(1(2(1(x1)))))))))))))))))))))))))))))))))) -> 2(0(0(2(0(0(1(2(0(2(2(0(2(2(2(0(0(0(1(0(2(0(0(1(2(0(0(2(0(1(2(0(0(1(0(x1))))))))))))))))))))))))))))))))))) 2(1(1(1(2(2(0(2(0(0(0(0(1(1(2(0(2(2(0(0(2(2(2(0(0(2(1(0(2(1(0(2(1(2(x1)))))))))))))))))))))))))))))))))) -> 1(0(2(0(2(0(0(0(0(2(2(0(0(2(0(0(2(0(2(1(0(0(2(0(1(2(0(0(0(1(2(1(1(2(0(2(x1)))))))))))))))))))))))))))))))))))) 2(1(1(2(2(0(1(1(0(2(1(0(1(1(0(2(1(1(1(0(1(0(2(1(0(2(1(1(1(0(1(0(0(1(x1)))))))))))))))))))))))))))))))))) -> 0(1(2(0(1(2(0(2(0(2(1(2(0(0(1(2(1(1(2(0(0(1(2(2(1(2(1(0(0(1(2(1(0(0(0(0(x1)))))))))))))))))))))))))))))))))))) 2(1(2(1(2(2(2(0(2(2(0(2(2(1(2(1(1(0(0(1(0(1(0(2(1(1(0(2(0(0(2(1(1(1(x1)))))))))))))))))))))))))))))))))) -> 1(2(2(2(0(2(0(2(1(2(0(0(0(1(1(0(1(2(0(0(0(2(0(0(0(1(0(2(2(2(2(1(0(2(2(x1))))))))))))))))))))))))))))))))))) 2(2(2(0(1(1(1(1(1(1(0(2(1(1(0(0(0(1(1(2(2(2(2(2(2(2(2(0(0(1(0(2(0(1(x1)))))))))))))))))))))))))))))))))) -> 0(1(0(0(1(0(0(1(2(0(2(0(2(0(2(0(2(2(1(0(2(1(1(1(1(1(1(0(1(0(1(1(0(0(0(x1))))))))))))))))))))))))))))))))))) 0(2(1(2(0(1(2(1(1(1(2(0(0(0(0(1(2(1(0(0(2(2(2(0(1(2(0(2(1(1(2(2(1(2(1(x1))))))))))))))))))))))))))))))))))) -> 0(2(1(2(0(2(0(1(0(1(0(0(1(2(0(2(2(1(0(2(1(2(0(0(1(2(1(2(2(2(1(2(1(1(1(x1))))))))))))))))))))))))))))))))))) 1(1(1(0(1(2(2(2(2(0(1(0(2(2(0(0(0(1(2(0(0(0(2(2(1(0(0(0(0(1(1(0(0(0(1(x1))))))))))))))))))))))))))))))))))) -> 1(1(1(1(2(0(1(1(1(0(1(0(2(0(0(1(1(2(1(0(2(2(0(0(0(0(1(2(0(1(0(0(2(0(1(2(0(x1))))))))))))))))))))))))))))))))))))) 1(1(2(1(1(0(2(0(2(0(0(0(1(0(1(1(1(1(2(2(1(1(0(2(2(2(0(2(1(0(1(2(0(0(0(x1))))))))))))))))))))))))))))))))))) -> 1(0(2(0(1(0(2(0(1(1(0(0(0(1(2(0(1(1(1(0(2(0(2(0(0(2(0(2(2(1(2(0(2(2(0(1(0(x1))))))))))))))))))))))))))))))))))))) 2(1(0(2(1(0(2(2(2(2(0(0(0(1(1(1(2(2(0(2(2(2(0(1(0(2(1(0(1(1(2(2(2(0(0(x1))))))))))))))))))))))))))))))))))) -> 0(2(0(1(2(1(1(0(2(2(0(0(0(0(2(0(1(0(2(1(2(2(0(1(0(1(0(1(2(0(0(2(2(0(1(0(x1)))))))))))))))))))))))))))))))))))) 2(2(2(1(0(0(1(0(0(1(2(1(1(2(1(2(0(1(1(0(1(2(0(1(2(2(1(0(1(0(0(1(2(1(1(x1))))))))))))))))))))))))))))))))))) -> 0(0(2(0(0(0(1(2(1(2(0(1(1(0(2(0(1(0(1(2(0(0(1(1(2(0(0(1(1(0(2(2(0(2(2(1(1(x1))))))))))))))))))))))))))))))))))))) 0(2(2(2(1(2(0(2(1(0(1(2(2(0(1(1(0(2(0(0(1(2(2(2(0(0(2(0(2(2(1(0(0(1(0(0(x1)))))))))))))))))))))))))))))))))))) -> 0(0(0(2(0(0(0(2(2(2(0(1(0(2(1(2(2(0(1(2(2(0(0(0(1(0(0(0(2(0(1(1(0(2(0(2(0(x1))))))))))))))))))))))))))))))))))))) 1(0(1(2(0(1(0(2(2(1(2(2(0(0(0(2(1(1(2(0(2(1(1(1(0(1(0(0(0(2(1(1(2(1(0(0(x1)))))))))))))))))))))))))))))))))))) -> 1(1(2(1(0(2(1(1(2(0(2(1(1(1(2(2(0(2(1(2(2(1(1(1(0(1(0(2(0(0(0(2(0(2(0(0(1(x1))))))))))))))))))))))))))))))))))))) 0(0(0(1(0(0(1(2(1(0(2(0(2(1(1(2(2(2(1(1(0(2(2(2(2(2(0(0(0(1(0(1(0(0(0(1(0(x1))))))))))))))))))))))))))))))))))))) -> 0(1(1(0(2(1(1(1(0(2(0(1(2(0(0(0(2(2(1(0(2(2(2(1(1(1(2(1(0(2(1(1(0(1(2(0(1(1(1(x1))))))))))))))))))))))))))))))))))))))) 0(1(1(1(0(1(0(0(2(1(0(0(1(0(0(0(0(1(1(2(1(1(1(0(0(0(1(2(0(2(2(2(2(0(2(0(0(x1))))))))))))))))))))))))))))))))))))) -> 0(0(2(0(1(2(0(0(1(2(0(2(1(1(0(2(1(2(2(2(2(2(0(0(1(0(1(1(2(0(0(1(1(1(1(1(2(0(x1)))))))))))))))))))))))))))))))))))))) 2(0(2(2(1(2(1(2(2(2(0(1(0(2(2(1(0(0(0(1(2(0(1(2(1(0(0(2(2(0(2(1(1(1(0(0(1(x1))))))))))))))))))))))))))))))))))))) -> 1(2(2(0(0(0(1(1(0(2(0(2(0(0(2(0(1(1(2(0(2(0(1(2(1(2(1(2(1(0(2(2(2(1(0(1(0(1(0(x1))))))))))))))))))))))))))))))))))))))) 2(1(2(1(2(1(2(1(0(1(0(2(2(0(0(1(2(2(1(2(1(0(1(0(2(1(2(2(2(1(1(1(2(0(1(1(0(x1))))))))))))))))))))))))))))))))))))) -> 1(0(1(2(1(2(1(2(2(2(1(0(2(1(0(0(2(0(0(0(2(0(1(0(1(1(2(2(0(1(1(0(2(0(0(2(0(1(0(1(x1)))))))))))))))))))))))))))))))))))))))) 2(2(1(2(1(1(0(0(0(0(1(2(1(1(1(0(0(1(1(0(0(2(0(1(1(1(0(2(2(1(2(0(0(1(0(0(1(x1))))))))))))))))))))))))))))))))))))) -> 2(0(1(2(0(2(0(1(1(0(0(1(0(1(0(2(0(1(0(2(2(2(1(2(1(0(2(0(2(0(0(2(0(1(1(1(2(0(0(2(1(0(x1)))))))))))))))))))))))))))))))))))))))))) 1(1(2(1(0(2(2(1(2(2(2(0(1(1(0(0(2(1(0(1(2(2(2(1(1(1(2(0(0(0(1(1(0(1(1(1(2(0(x1)))))))))))))))))))))))))))))))))))))) -> 2(0(0(2(0(2(1(0(0(1(0(0(0(1(1(1(0(2(1(0(1(2(0(0(1(1(2(2(1(0(0(2(0(0(1(2(1(0(1(x1))))))))))))))))))))))))))))))))))))))) 2(1(2(1(2(1(1(0(2(0(2(1(2(2(2(1(1(2(0(0(1(0(1(1(2(1(1(2(0(1(2(2(1(1(0(0(1(1(x1)))))))))))))))))))))))))))))))))))))) -> 2(1(0(2(2(1(0(0(0(2(2(2(1(2(0(1(0(0(1(0(0(0(2(1(1(0(0(2(0(1(2(0(2(2(1(0(2(0(0(x1))))))))))))))))))))))))))))))))))))))) 1(2(2(0(1(2(2(2(0(1(1(1(2(1(1(0(0(1(2(1(2(2(2(1(0(0(0(0(1(1(2(1(0(0(1(0(2(1(1(x1))))))))))))))))))))))))))))))))))))))) -> 1(2(2(1(2(1(1(1(1(1(2(2(1(1(1(0(2(2(2(0(2(0(0(2(2(0(0(0(2(0(2(0(2(2(2(1(0(2(0(2(2(x1))))))))))))))))))))))))))))))))))))))))) 2(1(0(0(1(0(0(1(2(2(0(2(2(1(0(0(0(2(2(1(1(2(0(1(2(0(0(1(2(0(2(1(0(2(2(0(1(1(1(x1))))))))))))))))))))))))))))))))))))))) -> 2(1(2(0(0(1(2(0(1(2(0(0(0(2(2(0(2(0(1(0(0(0(2(0(0(2(2(0(2(2(2(0(0(2(0(1(0(2(0(1(0(x1))))))))))))))))))))))))))))))))))))))))) 2(2(2(0(0(2(0(2(1(2(1(2(1(0(1(1(2(1(1(2(0(1(0(1(0(0(1(1(2(1(1(2(2(1(1(1(1(0(1(x1))))))))))))))))))))))))))))))))))))))) -> 1(0(2(1(1(2(1(1(2(0(0(2(2(0(2(0(1(2(1(0(2(0(1(2(1(2(2(2(2(0(2(2(2(1(0(2(0(0(1(1(x1)))))))))))))))))))))))))))))))))))))))) 2(2(2(0(2(1(2(1(0(0(0(0(1(2(2(1(0(2(2(1(1(0(0(0(2(0(0(0(1(0(2(1(2(2(1(1(0(2(1(x1))))))))))))))))))))))))))))))))))))))) -> 1(2(0(1(1(2(0(2(2(0(2(1(0(2(0(2(0(1(1(0(1(2(2(1(0(1(0(0(0(2(0(2(2(1(0(0(0(1(0(1(x1)))))))))))))))))))))))))))))))))))))))) 0(2(0(0(1(0(0(2(2(2(0(1(1(1(1(2(2(0(0(0(0(2(0(1(2(1(0(1(2(1(2(2(2(0(0(0(0(1(0(0(x1)))))))))))))))))))))))))))))))))))))))) -> 0(1(0(0(2(0(2(0(0(2(1(0(0(2(2(1(1(2(2(2(1(2(0(1(1(2(0(2(0(2(1(2(0(2(0(1(2(0(2(1(0(0(1(x1))))))))))))))))))))))))))))))))))))))))))) 0(2(1(1(1(0(2(1(1(0(0(2(1(0(2(1(1(0(2(2(1(0(2(0(1(0(2(1(0(1(1(2(2(1(0(1(2(2(0(0(x1)))))))))))))))))))))))))))))))))))))))) -> 0(2(1(2(2(2(2(1(1(1(1(1(2(0(0(2(0(2(0(0(2(1(1(1(0(2(0(2(2(2(1(1(1(0(0(0(1(2(2(0(2(0(x1)))))))))))))))))))))))))))))))))))))))))) 2(1(0(0(1(0(2(2(1(1(1(0(1(2(0(1(0(2(1(0(0(2(2(1(1(1(2(2(0(0(0(0(1(1(2(1(0(1(2(2(x1)))))))))))))))))))))))))))))))))))))))) -> 2(2(0(0(1(2(0(2(1(2(1(1(1(2(2(1(0(0(1(0(0(2(0(1(2(1(2(1(0(2(0(2(0(1(1(1(0(1(1(0(x1)))))))))))))))))))))))))))))))))))))))) 2(1(2(0(1(0(0(1(1(0(2(1(1(0(1(2(1(1(2(1(0(2(2(2(1(1(1(0(1(0(2(0(1(2(1(1(0(2(2(0(x1)))))))))))))))))))))))))))))))))))))))) -> 2(0(0(2(0(0(1(2(2(2(2(2(1(2(0(2(0(1(2(1(0(0(1(1(0(1(1(1(2(0(2(0(2(1(0(1(2(0(1(2(0(1(x1)))))))))))))))))))))))))))))))))))))))))) 0(2(2(0(1(2(0(0(0(2(2(2(1(2(2(2(1(0(0(0(2(0(2(1(1(0(2(1(2(0(1(0(2(1(2(0(2(1(0(1(0(1(x1)))))))))))))))))))))))))))))))))))))))))) -> 0(1(1(1(2(0(0(0(0(1(1(2(0(2(0(2(0(0(0(2(2(0(0(0(0(2(2(0(1(1(0(0(1(2(1(2(0(1(2(0(0(2(0(0(0(x1))))))))))))))))))))))))))))))))))))))))))))) 0(2(2(2(0(1(1(2(1(1(2(2(1(1(1(2(2(1(1(1(1(0(2(1(1(0(0(2(0(1(2(2(1(1(0(0(0(1(1(0(0(0(x1)))))))))))))))))))))))))))))))))))))))))) -> 0(0(1(0(2(2(0(2(0(0(2(0(2(0(1(2(0(2(0(2(0(0(1(1(2(1(0(1(0(1(2(2(0(2(2(1(0(0(2(0(2(1(0(x1))))))))))))))))))))))))))))))))))))))))))) 1(1(1(2(0(1(0(1(0(1(1(1(2(1(1(2(1(2(2(1(1(2(1(1(2(1(2(0(0(2(2(2(1(2(0(0(0(0(1(1(0(0(x1)))))))))))))))))))))))))))))))))))))))))) -> 1(2(1(0(1(2(0(1(0(2(0(2(2(2(0(1(1(1(1(2(1(0(2(2(1(0(2(2(1(1(0(2(1(2(0(2(0(2(1(0(0(0(0(x1))))))))))))))))))))))))))))))))))))))))))) 2(1(1(2(0(2(0(2(0(1(1(0(2(2(2(2(1(1(1(0(0(0(1(1(0(0(0(1(2(0(0(0(0(1(0(1(2(1(2(2(0(1(x1)))))))))))))))))))))))))))))))))))))))))) -> 2(2(2(0(0(1(2(0(0(2(0(1(1(0(2(0(1(2(0(1(0(0(2(0(2(1(1(0(2(1(0(0(2(2(1(2(2(2(0(1(1(2(0(2(0(x1))))))))))))))))))))))))))))))))))))))))))))) 2(1(2(0(0(2(1(0(1(2(1(2(0(0(0(0(1(1(1(0(2(0(1(0(2(1(2(1(2(0(2(1(1(1(1(0(1(0(0(1(1(0(x1)))))))))))))))))))))))))))))))))))))))))) -> 2(2(1(1(1(1(2(2(0(2(1(1(1(2(2(1(0(1(0(1(2(0(2(2(2(1(1(2(0(1(2(0(1(0(0(2(1(0(2(0(1(0(1(x1))))))))))))))))))))))))))))))))))))))))))) 2(2(0(2(2(1(2(0(2(2(2(1(1(0(2(1(1(1(2(2(0(1(0(1(0(1(0(0(1(2(0(0(2(2(0(0(2(1(1(1(1(2(x1)))))))))))))))))))))))))))))))))))))))))) -> 0(1(2(2(0(2(0(0(0(2(0(2(1(2(0(0(1(0(2(0(0(2(0(1(1(2(1(1(0(2(1(2(1(2(0(0(0(1(2(0(0(1(0(x1))))))))))))))))))))))))))))))))))))))))))) 1(2(1(2(1(0(2(2(2(1(2(0(0(2(2(0(1(2(1(1(2(1(0(1(2(2(1(2(0(1(2(2(1(2(2(1(1(2(1(0(1(1(1(x1))))))))))))))))))))))))))))))))))))))))))) -> 1(0(0(2(1(0(1(2(2(1(0(1(2(1(0(1(0(1(2(0(2(2(1(0(2(1(2(2(2(0(0(1(2(0(2(0(0(1(1(0(2(1(2(0(1(x1))))))))))))))))))))))))))))))))))))))))))))) 2(2(2(2(0(2(2(2(2(0(1(2(1(1(0(2(1(1(2(1(0(1(0(1(0(0(0(0(2(0(0(1(2(1(2(1(1(0(0(1(2(0(1(x1))))))))))))))))))))))))))))))))))))))))))) -> 2(0(1(2(1(2(0(2(0(1(2(0(1(1(0(2(2(0(0(1(1(2(2(1(1(1(2(1(2(2(0(2(2(1(0(1(1(1(1(1(0(1(2(0(x1)))))))))))))))))))))))))))))))))))))))))))) 1(2(1(1(0(2(2(0(1(2(2(0(2(0(0(1(1(0(1(2(2(2(0(2(2(0(0(0(0(1(1(0(1(0(0(0(1(2(1(2(2(2(0(0(x1)))))))))))))))))))))))))))))))))))))))))))) -> 1(1(2(1(0(2(0(2(2(2(1(1(1(1(0(2(1(1(2(1(0(0(2(1(0(0(2(0(2(1(2(2(1(0(1(1(2(0(1(0(2(2(2(0(0(x1))))))))))))))))))))))))))))))))))))))))))))) 0(2(1(2(0(2(1(1(2(2(0(2(1(2(2(0(0(0(1(1(1(0(2(2(2(2(2(2(2(2(2(1(1(1(2(1(0(1(1(0(0(0(2(0(0(x1))))))))))))))))))))))))))))))))))))))))))))) -> 0(2(2(0(2(2(2(0(0(2(2(1(0(1(0(0(2(2(1(1(0(2(2(0(2(2(2(0(1(2(0(0(2(0(2(0(2(1(1(2(2(1(2(1(1(0(x1)))))))))))))))))))))))))))))))))))))))))))))) 2(2(1(0(0(2(1(2(0(0(0(2(1(0(2(0(2(1(2(2(2(0(1(2(2(0(0(0(1(0(2(2(2(1(0(1(2(1(0(0(2(0(1(0(1(x1))))))))))))))))))))))))))))))))))))))))))))) -> 2(1(1(2(1(1(1(0(2(0(1(1(1(2(0(0(2(2(1(2(2(2(2(0(2(0(1(1(0(1(2(2(2(1(1(2(1(1(1(0(0(0(2(0(1(0(x1)))))))))))))))))))))))))))))))))))))))))))))) 2(0(1(1(2(0(0(1(1(1(0(0(0(2(0(0(1(0(0(1(0(0(0(2(1(2(1(0(1(1(1(1(0(0(1(1(0(2(0(2(2(1(0(2(1(1(0(x1))))))))))))))))))))))))))))))))))))))))))))))) -> 2(0(2(0(2(0(2(0(2(0(2(1(2(1(0(0(1(0(0(2(1(2(0(2(0(0(2(1(2(2(1(1(2(2(2(1(2(1(0(0(2(0(0(2(2(2(1(0(2(0(x1)))))))))))))))))))))))))))))))))))))))))))))))))) 2(1(2(0(2(2(0(2(0(0(1(0(1(0(0(1(0(2(2(1(0(2(1(1(0(2(1(1(0(1(2(2(0(0(0(1(2(1(2(0(1(1(1(2(1(1(0(x1))))))))))))))))))))))))))))))))))))))))))))))) -> 0(2(2(0(1(2(1(0(2(0(2(0(0(1(2(2(1(1(2(2(2(0(1(2(0(0(2(2(0(0(0(1(2(2(1(2(2(1(0(2(1(1(1(1(0(1(0(2(0(x1))))))))))))))))))))))))))))))))))))))))))))))))) 2(1(2(2(2(1(1(1(1(1(1(0(1(0(0(2(2(2(0(1(1(1(0(2(1(1(2(1(2(0(0(0(0(2(1(1(0(2(1(1(0(0(0(1(0(0(1(x1))))))))))))))))))))))))))))))))))))))))))))))) -> 0(2(2(2(1(2(1(2(0(1(1(1(1(1(2(2(0(0(0(2(2(2(1(1(0(1(1(0(1(1(1(2(0(0(2(0(1(1(2(2(2(1(0(2(2(2(2(2(0(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, INF). The TRS R consists of the following rules: 0(0(1(1(0(0(0(1(x1)))))))) -> 0(2(0(1(0(1(1(1(1(x1))))))))) 2(2(0(0(2(1(0(1(x1)))))))) -> 1(2(2(0(0(1(2(0(x1)))))))) 1(2(1(0(0(1(2(1(1(x1))))))))) -> 1(0(2(0(1(1(2(1(1(x1))))))))) 0(1(2(1(1(1(0(2(0(2(x1)))))))))) -> 0(2(0(2(0(2(0(2(0(1(2(x1))))))))))) 1(0(2(1(0(0(1(0(1(2(x1)))))))))) -> 1(2(0(0(1(1(0(0(1(2(x1)))))))))) 1(1(0(1(2(2(2(2(0(2(1(1(x1)))))))))))) -> 1(1(0(1(2(2(0(2(0(1(2(2(2(x1))))))))))))) 2(1(2(0(0(0(0(1(2(0(1(1(1(x1))))))))))))) -> 0(0(2(0(2(0(0(2(0(0(0(1(1(1(x1)))))))))))))) 0(1(0(1(2(0(0(1(0(0(1(2(1(0(1(0(x1)))))))))))))))) -> 0(1(1(1(1(2(0(2(1(0(0(0(1(0(0(0(x1)))))))))))))))) 0(1(0(1(1(0(1(2(2(1(1(1(0(2(1(1(1(x1))))))))))))))))) -> 0(2(1(1(0(2(2(0(2(2(0(0(2(0(1(2(1(2(x1)))))))))))))))))) 1(2(0(1(0(0(0(1(2(2(1(1(2(0(1(0(1(1(0(x1))))))))))))))))))) -> 2(0(2(1(0(2(2(2(0(0(0(2(2(2(2(0(2(0(2(0(x1)))))))))))))))))))) 2(1(1(1(0(0(1(2(1(0(0(2(1(0(1(1(0(1(1(0(x1)))))))))))))))))))) -> 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1(1(0(1(1(1(1(0(1(0(0(2(1(1(2(0(0(1(1(0(2(0(0(0(x1)))))))))))))))))))))))) -> 2(0(0(2(1(0(2(2(2(0(0(2(2(2(2(0(0(0(2(0(1(2(0(0(0(x1))))))))))))))))))))))))) 2(1(0(0(1(1(0(2(2(0(1(0(0(1(2(0(2(1(2(0(1(0(0(0(x1)))))))))))))))))))))))) -> 2(1(1(0(1(2(0(0(2(0(2(0(2(1(0(1(2(0(1(0(2(1(1(2(0(0(x1)))))))))))))))))))))))))) 2(2(2(1(0(0(2(0(1(0(2(1(0(2(1(0(0(1(1(0(0(0(2(0(2(x1))))))))))))))))))))))))) -> 1(0(2(0(1(0(1(0(2(0(1(1(1(2(1(0(2(0(2(0(2(2(0(0(2(0(2(x1))))))))))))))))))))))))))) 1(0(0(1(2(0(0(0(1(1(1(1(2(2(2(2(2(1(1(2(1(0(1(0(1(0(x1)))))))))))))))))))))))))) -> 1(0(1(0(2(2(0(2(0(1(1(2(2(1(2(2(2(2(0(0(1(1(0(1(0(2(0(x1))))))))))))))))))))))))))) 0(1(0(0(2(2(0(1(0(1(2(1(2(2(2(1(0(1(2(1(0(1(1(1(2(0(2(1(x1)))))))))))))))))))))))))))) -> 0(0(2(0(0(2(2(0(0(1(1(2(1(1(1(2(0(0(1(1(2(0(2(0(2(2(1(2(2(x1))))))))))))))))))))))))))))) 1(2(1(0(0(1(1(0(1(0(2(1(2(0(2(0(1(1(2(1(2(0(1(1(0(0(0(1(x1)))))))))))))))))))))))))))) -> 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0(2(2(0(1(2(0(0(0(2(2(2(1(2(2(2(1(0(0(0(2(0(2(1(1(0(2(1(2(0(1(0(2(1(2(0(2(1(0(1(0(1(x1)))))))))))))))))))))))))))))))))))))))))) -> 0(1(1(1(2(0(0(0(0(1(1(2(0(2(0(2(0(0(0(2(2(0(0(0(0(2(2(0(1(1(0(0(1(2(1(2(0(1(2(0(0(2(0(0(0(x1))))))))))))))))))))))))))))))))))))))))))))) 0(2(2(2(0(1(1(2(1(1(2(2(1(1(1(2(2(1(1(1(1(0(2(1(1(0(0(2(0(1(2(2(1(1(0(0(0(1(1(0(0(0(x1)))))))))))))))))))))))))))))))))))))))))) -> 0(0(1(0(2(2(0(2(0(0(2(0(2(0(1(2(0(2(0(2(0(0(1(1(2(1(0(1(0(1(2(2(0(2(2(1(0(0(2(0(2(1(0(x1))))))))))))))))))))))))))))))))))))))))))) 1(1(1(2(0(1(0(1(0(1(1(1(2(1(1(2(1(2(2(1(1(2(1(1(2(1(2(0(0(2(2(2(1(2(0(0(0(0(1(1(0(0(x1)))))))))))))))))))))))))))))))))))))))))) -> 1(2(1(0(1(2(0(1(0(2(0(2(2(2(0(1(1(1(1(2(1(0(2(2(1(0(2(2(1(1(0(2(1(2(0(2(0(2(1(0(0(0(0(x1))))))))))))))))))))))))))))))))))))))))))) 2(1(1(2(0(2(0(2(0(1(1(0(2(2(2(2(1(1(1(0(0(0(1(1(0(0(0(1(2(0(0(0(0(1(0(1(2(1(2(2(0(1(x1)))))))))))))))))))))))))))))))))))))))))) -> 2(2(2(0(0(1(2(0(0(2(0(1(1(0(2(0(1(2(0(1(0(0(2(0(2(1(1(0(2(1(0(0(2(2(1(2(2(2(0(1(1(2(0(2(0(x1))))))))))))))))))))))))))))))))))))))))))))) 2(1(2(0(0(2(1(0(1(2(1(2(0(0(0(0(1(1(1(0(2(0(1(0(2(1(2(1(2(0(2(1(1(1(1(0(1(0(0(1(1(0(x1)))))))))))))))))))))))))))))))))))))))))) -> 2(2(1(1(1(1(2(2(0(2(1(1(1(2(2(1(0(1(0(1(2(0(2(2(2(1(1(2(0(1(2(0(1(0(0(2(1(0(2(0(1(0(1(x1))))))))))))))))))))))))))))))))))))))))))) 2(2(0(2(2(1(2(0(2(2(2(1(1(0(2(1(1(1(2(2(0(1(0(1(0(1(0(0(1(2(0(0(2(2(0(0(2(1(1(1(1(2(x1)))))))))))))))))))))))))))))))))))))))))) -> 0(1(2(2(0(2(0(0(0(2(0(2(1(2(0(0(1(0(2(0(0(2(0(1(1(2(1(1(0(2(1(2(1(2(0(0(0(1(2(0(0(1(0(x1))))))))))))))))))))))))))))))))))))))))))) 1(2(1(2(1(0(2(2(2(1(2(0(0(2(2(0(1(2(1(1(2(1(0(1(2(2(1(2(0(1(2(2(1(2(2(1(1(2(1(0(1(1(1(x1))))))))))))))))))))))))))))))))))))))))))) -> 1(0(0(2(1(0(1(2(2(1(0(1(2(1(0(1(0(1(2(0(2(2(1(0(2(1(2(2(2(0(0(1(2(0(2(0(0(1(1(0(2(1(2(0(1(x1))))))))))))))))))))))))))))))))))))))))))))) 2(2(2(2(0(2(2(2(2(0(1(2(1(1(0(2(1(1(2(1(0(1(0(1(0(0(0(0(2(0(0(1(2(1(2(1(1(0(0(1(2(0(1(x1))))))))))))))))))))))))))))))))))))))))))) -> 2(0(1(2(1(2(0(2(0(1(2(0(1(1(0(2(2(0(0(1(1(2(2(1(1(1(2(1(2(2(0(2(2(1(0(1(1(1(1(1(0(1(2(0(x1)))))))))))))))))))))))))))))))))))))))))))) 1(2(1(1(0(2(2(0(1(2(2(0(2(0(0(1(1(0(1(2(2(2(0(2(2(0(0(0(0(1(1(0(1(0(0(0(1(2(1(2(2(2(0(0(x1)))))))))))))))))))))))))))))))))))))))))))) -> 1(1(2(1(0(2(0(2(2(2(1(1(1(1(0(2(1(1(2(1(0(0(2(1(0(0(2(0(2(1(2(2(1(0(1(1(2(0(1(0(2(2(2(0(0(x1))))))))))))))))))))))))))))))))))))))))))))) 0(2(1(2(0(2(1(1(2(2(0(2(1(2(2(0(0(0(1(1(1(0(2(2(2(2(2(2(2(2(2(1(1(1(2(1(0(1(1(0(0(0(2(0(0(x1))))))))))))))))))))))))))))))))))))))))))))) -> 0(2(2(0(2(2(2(0(0(2(2(1(0(1(0(0(2(2(1(1(0(2(2(0(2(2(2(0(1(2(0(0(2(0(2(0(2(1(1(2(2(1(2(1(1(0(x1)))))))))))))))))))))))))))))))))))))))))))))) 2(2(1(0(0(2(1(2(0(0(0(2(1(0(2(0(2(1(2(2(2(0(1(2(2(0(0(0(1(0(2(2(2(1(0(1(2(1(0(0(2(0(1(0(1(x1))))))))))))))))))))))))))))))))))))))))))))) -> 2(1(1(2(1(1(1(0(2(0(1(1(1(2(0(0(2(2(1(2(2(2(2(0(2(0(1(1(0(1(2(2(2(1(1(2(1(1(1(0(0(0(2(0(1(0(x1)))))))))))))))))))))))))))))))))))))))))))))) 2(0(1(1(2(0(0(1(1(1(0(0(0(2(0(0(1(0(0(1(0(0(0(2(1(2(1(0(1(1(1(1(0(0(1(1(0(2(0(2(2(1(0(2(1(1(0(x1))))))))))))))))))))))))))))))))))))))))))))))) -> 2(0(2(0(2(0(2(0(2(0(2(1(2(1(0(0(1(0(0(2(1(2(0(2(0(0(2(1(2(2(1(1(2(2(2(1(2(1(0(0(2(0(0(2(2(2(1(0(2(0(x1)))))))))))))))))))))))))))))))))))))))))))))))))) 2(1(2(0(2(2(0(2(0(0(1(0(1(0(0(1(0(2(2(1(0(2(1(1(0(2(1(1(0(1(2(2(0(0(0(1(2(1(2(0(1(1(1(2(1(1(0(x1))))))))))))))))))))))))))))))))))))))))))))))) -> 0(2(2(0(1(2(1(0(2(0(2(0(0(1(2(2(1(1(2(2(2(0(1(2(0(0(2(2(0(0(0(1(2(2(1(2(2(1(0(2(1(1(1(1(0(1(0(2(0(x1))))))))))))))))))))))))))))))))))))))))))))))))) 2(1(2(2(2(1(1(1(1(1(1(0(1(0(0(2(2(2(0(1(1(1(0(2(1(1(2(1(2(0(0(0(0(2(1(1(0(2(1(1(0(0(0(1(0(0(1(x1))))))))))))))))))))))))))))))))))))))))))))))) -> 0(2(2(2(1(2(1(2(0(1(1(1(1(1(2(2(0(0(0(2(2(2(1(1(0(1(1(0(1(1(1(2(0(0(2(0(1(1(2(2(2(1(0(2(2(2(2(2(0(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, INF). The TRS R consists of the following rules: 0(0(1(1(0(0(0(1(x1)))))))) -> 0(2(0(1(0(1(1(1(1(x1))))))))) 2(2(0(0(2(1(0(1(x1)))))))) -> 1(2(2(0(0(1(2(0(x1)))))))) 1(2(1(0(0(1(2(1(1(x1))))))))) -> 1(0(2(0(1(1(2(1(1(x1))))))))) 0(1(2(1(1(1(0(2(0(2(x1)))))))))) -> 0(2(0(2(0(2(0(2(0(1(2(x1))))))))))) 1(0(2(1(0(0(1(0(1(2(x1)))))))))) -> 1(2(0(0(1(1(0(0(1(2(x1)))))))))) 1(1(0(1(2(2(2(2(0(2(1(1(x1)))))))))))) -> 1(1(0(1(2(2(0(2(0(1(2(2(2(x1))))))))))))) 2(1(2(0(0(0(0(1(2(0(1(1(1(x1))))))))))))) -> 0(0(2(0(2(0(0(2(0(0(0(1(1(1(x1)))))))))))))) 0(1(0(1(2(0(0(1(0(0(1(2(1(0(1(0(x1)))))))))))))))) -> 0(1(1(1(1(2(0(2(1(0(0(0(1(0(0(0(x1)))))))))))))))) 0(1(0(1(1(0(1(2(2(1(1(1(0(2(1(1(1(x1))))))))))))))))) -> 0(2(1(1(0(2(2(0(2(2(0(0(2(0(1(2(1(2(x1)))))))))))))))))) 1(2(0(1(0(0(0(1(2(2(1(1(2(0(1(0(1(1(0(x1))))))))))))))))))) -> 2(0(2(1(0(2(2(2(0(0(0(2(2(2(2(0(2(0(2(0(x1)))))))))))))))))))) 2(1(1(1(0(0(1(2(1(0(0(2(1(0(1(1(0(1(1(0(x1)))))))))))))))))))) -> 1(0(2(1(0(2(0(2(2(0(0(2(0(0(0(2(0(1(1(1(2(0(x1)))))))))))))))))))))) 1(0(1(0(2(2(2(2(0(1(1(0(1(2(2(0(2(1(0(1(1(x1))))))))))))))))))))) -> 2(0(0(0(2(2(1(2(0(2(0(1(0(0(2(0(2(0(0(2(1(0(x1)))))))))))))))))))))) 2(2(1(1(0(2(1(1(1(2(1(2(2(2(2(1(2(1(0(2(2(x1))))))))))))))))))))) -> 1(2(1(2(2(0(0(2(0(0(0(2(2(1(0(2(0(0(2(0(2(1(x1)))))))))))))))))))))) 2(1(2(2(0(2(2(0(0(2(1(1(2(2(1(2(2(0(1(0(1(1(x1)))))))))))))))))))))) -> 1(0(1(1(2(1(1(2(1(0(0(0(1(0(0(2(0(0(2(0(1(0(1(x1))))))))))))))))))))))) 0(1(2(0(1(1(1(1(2(2(0(2(2(1(0(0(0(1(0(2(1(1(1(x1))))))))))))))))))))))) -> 0(1(0(0(2(0(1(1(2(2(0(0(1(0(2(0(1(1(1(1(1(2(2(2(x1)))))))))))))))))))))))) 2(2(0(0(0(1(0(2(1(0(1(0(0(0(1(0(2(2(2(1(0(0(0(x1))))))))))))))))))))))) -> 0(0(2(0(0(1(2(0(0(1(1(0(2(0(2(2(0(1(0(2(1(0(0(x1))))))))))))))))))))))) 0(0(0(2(2(0(2(1(1(0(0(2(2(1(2(0(1(0(1(0(1(1(0(0(x1)))))))))))))))))))))))) -> 0(0(1(0(2(0(0(1(2(2(2(2(2(1(0(1(2(1(2(0(1(1(1(1(1(x1))))))))))))))))))))))))) 1(1(0(1(1(1(1(0(1(0(0(2(1(1(2(0(0(1(1(0(2(0(0(0(x1)))))))))))))))))))))))) -> 2(0(0(2(1(0(2(2(2(0(0(2(2(2(2(0(0(0(2(0(1(2(0(0(0(x1))))))))))))))))))))))))) 2(1(0(0(1(1(0(2(2(0(1(0(0(1(2(0(2(1(2(0(1(0(0(0(x1)))))))))))))))))))))))) -> 2(1(1(0(1(2(0(0(2(0(2(0(2(1(0(1(2(0(1(0(2(1(1(2(0(0(x1)))))))))))))))))))))))))) 2(2(2(1(0(0(2(0(1(0(2(1(0(2(1(0(0(1(1(0(0(0(2(0(2(x1))))))))))))))))))))))))) -> 1(0(2(0(1(0(1(0(2(0(1(1(1(2(1(0(2(0(2(0(2(2(0(0(2(0(2(x1))))))))))))))))))))))))))) 1(0(0(1(2(0(0(0(1(1(1(1(2(2(2(2(2(1(1(2(1(0(1(0(1(0(x1)))))))))))))))))))))))))) -> 1(0(1(0(2(2(0(2(0(1(1(2(2(1(2(2(2(2(0(0(1(1(0(1(0(2(0(x1))))))))))))))))))))))))))) 0(1(0(0(2(2(0(1(0(1(2(1(2(2(2(1(0(1(2(1(0(1(1(1(2(0(2(1(x1)))))))))))))))))))))))))))) -> 0(0(2(0(0(2(2(0(0(1(1(2(1(1(1(2(0(0(1(1(2(0(2(0(2(2(1(2(2(x1))))))))))))))))))))))))))))) 1(2(1(0(0(1(1(0(1(0(2(1(2(0(2(0(1(1(2(1(2(0(1(1(0(0(0(1(x1)))))))))))))))))))))))))))) -> 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2(2(2(2(0(2(2(2(2(0(1(2(1(1(0(2(1(1(2(1(0(1(0(1(0(0(0(0(2(0(0(1(2(1(2(1(1(0(0(1(2(0(1(x1))))))))))))))))))))))))))))))))))))))))))) -> 2(0(1(2(1(2(0(2(0(1(2(0(1(1(0(2(2(0(0(1(1(2(2(1(1(1(2(1(2(2(0(2(2(1(0(1(1(1(1(1(0(1(2(0(x1)))))))))))))))))))))))))))))))))))))))))))) 1(2(1(1(0(2(2(0(1(2(2(0(2(0(0(1(1(0(1(2(2(2(0(2(2(0(0(0(0(1(1(0(1(0(0(0(1(2(1(2(2(2(0(0(x1)))))))))))))))))))))))))))))))))))))))))))) -> 1(1(2(1(0(2(0(2(2(2(1(1(1(1(0(2(1(1(2(1(0(0(2(1(0(0(2(0(2(1(2(2(1(0(1(1(2(0(1(0(2(2(2(0(0(x1))))))))))))))))))))))))))))))))))))))))))))) 0(2(1(2(0(2(1(1(2(2(0(2(1(2(2(0(0(0(1(1(1(0(2(2(2(2(2(2(2(2(2(1(1(1(2(1(0(1(1(0(0(0(2(0(0(x1))))))))))))))))))))))))))))))))))))))))))))) -> 0(2(2(0(2(2(2(0(0(2(2(1(0(1(0(0(2(2(1(1(0(2(2(0(2(2(2(0(1(2(0(0(2(0(2(0(2(1(1(2(2(1(2(1(1(0(x1)))))))))))))))))))))))))))))))))))))))))))))) 2(2(1(0(0(2(1(2(0(0(0(2(1(0(2(0(2(1(2(2(2(0(1(2(2(0(0(0(1(0(2(2(2(1(0(1(2(1(0(0(2(0(1(0(1(x1))))))))))))))))))))))))))))))))))))))))))))) -> 2(1(1(2(1(1(1(0(2(0(1(1(1(2(0(0(2(2(1(2(2(2(2(0(2(0(1(1(0(1(2(2(2(1(1(2(1(1(1(0(0(0(2(0(1(0(x1)))))))))))))))))))))))))))))))))))))))))))))) 2(0(1(1(2(0(0(1(1(1(0(0(0(2(0(0(1(0(0(1(0(0(0(2(1(2(1(0(1(1(1(1(0(0(1(1(0(2(0(2(2(1(0(2(1(1(0(x1))))))))))))))))))))))))))))))))))))))))))))))) -> 2(0(2(0(2(0(2(0(2(0(2(1(2(1(0(0(1(0(0(2(1(2(0(2(0(0(2(1(2(2(1(1(2(2(2(1(2(1(0(0(2(0(0(2(2(2(1(0(2(0(x1)))))))))))))))))))))))))))))))))))))))))))))))))) 2(1(2(0(2(2(0(2(0(0(1(0(1(0(0(1(0(2(2(1(0(2(1(1(0(2(1(1(0(1(2(2(0(0(0(1(2(1(2(0(1(1(1(2(1(1(0(x1))))))))))))))))))))))))))))))))))))))))))))))) -> 0(2(2(0(1(2(1(0(2(0(2(0(0(1(2(2(1(1(2(2(2(0(1(2(0(0(2(2(0(0(0(1(2(2(1(2(2(1(0(2(1(1(1(1(0(1(0(2(0(x1))))))))))))))))))))))))))))))))))))))))))))))))) 2(1(2(2(2(1(1(1(1(1(1(0(1(0(0(2(2(2(0(1(1(1(0(2(1(1(2(1(2(0(0(0(0(2(1(1(0(2(1(1(0(0(0(1(0(0(1(x1))))))))))))))))))))))))))))))))))))))))))))))) -> 0(2(2(2(1(2(1(2(0(1(1(1(1(1(2(2(0(0(0(2(2(2(1(1(0(1(1(0(1(1(1(2(0(0(2(0(1(1(2(2(2(1(0(2(2(2(2(2(0(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) RelTrsToDecreasingLoopProblemProof (LOWER BOUND(ID)) Transformed a relative TRS into a decreasing-loop problem. ---------------------------------------- (6) Obligation: Analyzing the following TRS for decreasing loops: The Runtime Complexity (innermost) of the given CpxRelTRS could be proven to be BOUNDS(1, INF). The TRS R consists of the following rules: 0(0(1(1(0(0(0(1(x1)))))))) -> 0(2(0(1(0(1(1(1(1(x1))))))))) 2(2(0(0(2(1(0(1(x1)))))))) -> 1(2(2(0(0(1(2(0(x1)))))))) 1(2(1(0(0(1(2(1(1(x1))))))))) -> 1(0(2(0(1(1(2(1(1(x1))))))))) 0(1(2(1(1(1(0(2(0(2(x1)))))))))) -> 0(2(0(2(0(2(0(2(0(1(2(x1))))))))))) 1(0(2(1(0(0(1(0(1(2(x1)))))))))) -> 1(2(0(0(1(1(0(0(1(2(x1)))))))))) 1(1(0(1(2(2(2(2(0(2(1(1(x1)))))))))))) -> 1(1(0(1(2(2(0(2(0(1(2(2(2(x1))))))))))))) 2(1(2(0(0(0(0(1(2(0(1(1(1(x1))))))))))))) -> 0(0(2(0(2(0(0(2(0(0(0(1(1(1(x1)))))))))))))) 0(1(0(1(2(0(0(1(0(0(1(2(1(0(1(0(x1)))))))))))))))) -> 0(1(1(1(1(2(0(2(1(0(0(0(1(0(0(0(x1)))))))))))))))) 0(1(0(1(1(0(1(2(2(1(1(1(0(2(1(1(1(x1))))))))))))))))) -> 0(2(1(1(0(2(2(0(2(2(0(0(2(0(1(2(1(2(x1)))))))))))))))))) 1(2(0(1(0(0(0(1(2(2(1(1(2(0(1(0(1(1(0(x1))))))))))))))))))) -> 2(0(2(1(0(2(2(2(0(0(0(2(2(2(2(0(2(0(2(0(x1)))))))))))))))))))) 2(1(1(1(0(0(1(2(1(0(0(2(1(0(1(1(0(1(1(0(x1)))))))))))))))))))) -> 1(0(2(1(0(2(0(2(2(0(0(2(0(0(0(2(0(1(1(1(2(0(x1)))))))))))))))))))))) 1(0(1(0(2(2(2(2(0(1(1(0(1(2(2(0(2(1(0(1(1(x1))))))))))))))))))))) -> 2(0(0(0(2(2(1(2(0(2(0(1(0(0(2(0(2(0(0(2(1(0(x1)))))))))))))))))))))) 2(2(1(1(0(2(1(1(1(2(1(2(2(2(2(1(2(1(0(2(2(x1))))))))))))))))))))) -> 1(2(1(2(2(0(0(2(0(0(0(2(2(1(0(2(0(0(2(0(2(1(x1)))))))))))))))))))))) 2(1(2(2(0(2(2(0(0(2(1(1(2(2(1(2(2(0(1(0(1(1(x1)))))))))))))))))))))) -> 1(0(1(1(2(1(1(2(1(0(0(0(1(0(0(2(0(0(2(0(1(0(1(x1))))))))))))))))))))))) 0(1(2(0(1(1(1(1(2(2(0(2(2(1(0(0(0(1(0(2(1(1(1(x1))))))))))))))))))))))) -> 0(1(0(0(2(0(1(1(2(2(0(0(1(0(2(0(1(1(1(1(1(2(2(2(x1)))))))))))))))))))))))) 2(2(0(0(0(1(0(2(1(0(1(0(0(0(1(0(2(2(2(1(0(0(0(x1))))))))))))))))))))))) -> 0(0(2(0(0(1(2(0(0(1(1(0(2(0(2(2(0(1(0(2(1(0(0(x1))))))))))))))))))))))) 0(0(0(2(2(0(2(1(1(0(0(2(2(1(2(0(1(0(1(0(1(1(0(0(x1)))))))))))))))))))))))) -> 0(0(1(0(2(0(0(1(2(2(2(2(2(1(0(1(2(1(2(0(1(1(1(1(1(x1))))))))))))))))))))))))) 1(1(0(1(1(1(1(0(1(0(0(2(1(1(2(0(0(1(1(0(2(0(0(0(x1)))))))))))))))))))))))) -> 2(0(0(2(1(0(2(2(2(0(0(2(2(2(2(0(0(0(2(0(1(2(0(0(0(x1))))))))))))))))))))))))) 2(1(0(0(1(1(0(2(2(0(1(0(0(1(2(0(2(1(2(0(1(0(0(0(x1)))))))))))))))))))))))) -> 2(1(1(0(1(2(0(0(2(0(2(0(2(1(0(1(2(0(1(0(2(1(1(2(0(0(x1)))))))))))))))))))))))))) 2(2(2(1(0(0(2(0(1(0(2(1(0(2(1(0(0(1(1(0(0(0(2(0(2(x1))))))))))))))))))))))))) -> 1(0(2(0(1(0(1(0(2(0(1(1(1(2(1(0(2(0(2(0(2(2(0(0(2(0(2(x1))))))))))))))))))))))))))) 1(0(0(1(2(0(0(0(1(1(1(1(2(2(2(2(2(1(1(2(1(0(1(0(1(0(x1)))))))))))))))))))))))))) -> 1(0(1(0(2(2(0(2(0(1(1(2(2(1(2(2(2(2(0(0(1(1(0(1(0(2(0(x1))))))))))))))))))))))))))) 0(1(0(0(2(2(0(1(0(1(2(1(2(2(2(1(0(1(2(1(0(1(1(1(2(0(2(1(x1)))))))))))))))))))))))))))) -> 0(0(2(0(0(2(2(0(0(1(1(2(1(1(1(2(0(0(1(1(2(0(2(0(2(2(1(2(2(x1))))))))))))))))))))))))))))) 1(2(1(0(0(1(1(0(1(0(2(1(2(0(2(0(1(1(2(1(2(0(1(1(0(0(0(1(x1)))))))))))))))))))))))))))) -> 1(1(1(1(2(0(2(0(0(1(2(0(0(0(0(2(2(1(0(0(2(0(1(2(0(1(2(0(0(x1))))))))))))))))))))))))))))) 2(1(1(1(0(1(0(0(1(0(1(1(0(1(0(2(0(0(0(1(1(1(2(2(0(1(2(2(x1)))))))))))))))))))))))))))) -> 2(0(0(1(2(1(1(2(0(2(0(1(1(1(1(2(0(1(2(1(2(2(2(2(2(2(0(2(2(x1))))))))))))))))))))))))))))) 2(1(1(0(0(0(1(1(2(2(1(2(1(2(1(2(2(0(1(0(0(0(1(2(0(0(1(1(2(x1))))))))))))))))))))))))))))) -> 0(2(1(2(2(0(1(0(1(2(0(0(1(1(1(0(1(1(1(1(2(0(2(2(0(2(1(0(2(x1))))))))))))))))))))))))))))) 0(0(2(0(2(1(1(2(0(2(1(1(2(0(1(0(1(2(1(1(1(0(0(0(0(2(2(1(2(0(x1)))))))))))))))))))))))))))))) -> 0(0(2(0(1(1(1(0(0(2(1(1(2(0(0(2(2(0(1(1(1(2(0(2(0(2(1(2(1(0(x1)))))))))))))))))))))))))))))) 0(1(0(1(0(2(1(1(0(1(2(0(0(1(2(2(0(2(0(2(1(2(1(2(2(0(2(2(1(2(x1)))))))))))))))))))))))))))))) -> 0(2(2(1(0(0(0(2(2(1(0(2(0(2(0(1(2(0(1(2(0(1(2(0(2(0(1(2(1(2(1(x1))))))))))))))))))))))))))))))) 1(2(0(0(0(2(0(1(1(2(2(0(0(2(2(0(2(1(1(1(2(1(1(1(0(1(2(1(2(1(x1)))))))))))))))))))))))))))))) -> 1(0(2(0(1(1(2(0(2(1(0(0(1(2(2(0(1(1(2(0(2(2(1(2(2(2(2(1(1(1(2(x1))))))))))))))))))))))))))))))) 1(2(1(1(1(2(1(0(2(2(0(1(2(0(0(1(0(0(2(1(2(1(2(1(0(1(0(2(1(0(x1)))))))))))))))))))))))))))))) -> 1(0(1(0(0(0(2(0(1(1(1(2(2(2(2(1(0(2(0(2(2(1(1(0(1(2(2(1(1(1(0(x1))))))))))))))))))))))))))))))) 2(2(0(1(2(1(2(1(0(2(1(1(0(0(1(0(1(2(1(1(0(1(0(2(1(1(2(0(0(0(x1)))))))))))))))))))))))))))))) -> 1(0(0(1(0(0(2(1(2(2(1(0(2(1(2(2(1(0(1(1(2(1(0(2(0(1(2(2(0(2(0(x1))))))))))))))))))))))))))))))) 0(1(0(0(2(1(0(1(1(1(1(1(0(1(0(1(0(2(2(0(2(2(1(2(2(2(1(0(0(2(2(x1))))))))))))))))))))))))))))))) -> 0(0(2(1(1(2(0(1(2(2(2(0(2(1(2(2(0(2(1(0(0(1(2(0(0(2(0(1(0(2(0(2(x1)))))))))))))))))))))))))))))))) 0(0(1(1(1(1(2(2(0(0(2(1(2(2(1(0(2(1(0(0(1(1(0(2(0(2(2(2(2(0(2(1(x1)))))))))))))))))))))))))))))))) -> 0(0(1(1(1(2(1(2(2(0(0(1(2(2(1(2(2(1(2(0(1(0(2(0(0(2(0(2(1(0(2(1(x1)))))))))))))))))))))))))))))))) 1(2(2(2(1(0(0(2(0(0(1(1(1(2(1(1(1(2(2(1(2(0(2(1(0(1(2(1(1(1(2(2(x1)))))))))))))))))))))))))))))))) -> 1(1(1(2(1(0(2(1(0(2(1(1(2(2(1(2(1(1(1(2(1(0(2(0(0(2(0(2(2(1(1(2(x1)))))))))))))))))))))))))))))))) 1(2(2(0(2(1(2(0(2(2(1(1(1(2(1(2(1(2(2(2(2(2(0(0(0(0(1(0(0(0(1(1(2(0(x1)))))))))))))))))))))))))))))))))) -> 1(1(2(1(1(1(0(1(2(0(0(1(2(2(0(2(0(0(2(0(1(0(2(0(0(1(0(0(0(2(0(2(1(2(2(0(1(x1))))))))))))))))))))))))))))))))))))) 2(1(0(1(2(2(0(1(0(0(0(2(1(1(0(1(2(1(1(0(0(2(2(0(1(1(1(2(1(1(1(1(2(1(x1)))))))))))))))))))))))))))))))))) -> 2(0(0(2(0(0(1(2(0(2(2(0(2(2(2(0(0(0(1(0(2(0(0(1(2(0(0(2(0(1(2(0(0(1(0(x1))))))))))))))))))))))))))))))))))) 2(1(1(1(2(2(0(2(0(0(0(0(1(1(2(0(2(2(0(0(2(2(2(0(0(2(1(0(2(1(0(2(1(2(x1)))))))))))))))))))))))))))))))))) -> 1(0(2(0(2(0(0(0(0(2(2(0(0(2(0(0(2(0(2(1(0(0(2(0(1(2(0(0(0(1(2(1(1(2(0(2(x1)))))))))))))))))))))))))))))))))))) 2(1(1(2(2(0(1(1(0(2(1(0(1(1(0(2(1(1(1(0(1(0(2(1(0(2(1(1(1(0(1(0(0(1(x1)))))))))))))))))))))))))))))))))) -> 0(1(2(0(1(2(0(2(0(2(1(2(0(0(1(2(1(1(2(0(0(1(2(2(1(2(1(0(0(1(2(1(0(0(0(0(x1)))))))))))))))))))))))))))))))))))) 2(1(2(1(2(2(2(0(2(2(0(2(2(1(2(1(1(0(0(1(0(1(0(2(1(1(0(2(0(0(2(1(1(1(x1)))))))))))))))))))))))))))))))))) -> 1(2(2(2(0(2(0(2(1(2(0(0(0(1(1(0(1(2(0(0(0(2(0(0(0(1(0(2(2(2(2(1(0(2(2(x1))))))))))))))))))))))))))))))))))) 2(2(2(0(1(1(1(1(1(1(0(2(1(1(0(0(0(1(1(2(2(2(2(2(2(2(2(0(0(1(0(2(0(1(x1)))))))))))))))))))))))))))))))))) -> 0(1(0(0(1(0(0(1(2(0(2(0(2(0(2(0(2(2(1(0(2(1(1(1(1(1(1(0(1(0(1(1(0(0(0(x1))))))))))))))))))))))))))))))))))) 0(2(1(2(0(1(2(1(1(1(2(0(0(0(0(1(2(1(0(0(2(2(2(0(1(2(0(2(1(1(2(2(1(2(1(x1))))))))))))))))))))))))))))))))))) -> 0(2(1(2(0(2(0(1(0(1(0(0(1(2(0(2(2(1(0(2(1(2(0(0(1(2(1(2(2(2(1(2(1(1(1(x1))))))))))))))))))))))))))))))))))) 1(1(1(0(1(2(2(2(2(0(1(0(2(2(0(0(0(1(2(0(0(0(2(2(1(0(0(0(0(1(1(0(0(0(1(x1))))))))))))))))))))))))))))))))))) -> 1(1(1(1(2(0(1(1(1(0(1(0(2(0(0(1(1(2(1(0(2(2(0(0(0(0(1(2(0(1(0(0(2(0(1(2(0(x1))))))))))))))))))))))))))))))))))))) 1(1(2(1(1(0(2(0(2(0(0(0(1(0(1(1(1(1(2(2(1(1(0(2(2(2(0(2(1(0(1(2(0(0(0(x1))))))))))))))))))))))))))))))))))) -> 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2(1(1(2(1(1(1(0(2(0(1(1(1(2(0(0(2(2(1(2(2(2(2(0(2(0(1(1(0(1(2(2(2(1(1(2(1(1(1(0(0(0(2(0(1(0(x1)))))))))))))))))))))))))))))))))))))))))))))) 2(0(1(1(2(0(0(1(1(1(0(0(0(2(0(0(1(0(0(1(0(0(0(2(1(2(1(0(1(1(1(1(0(0(1(1(0(2(0(2(2(1(0(2(1(1(0(x1))))))))))))))))))))))))))))))))))))))))))))))) -> 2(0(2(0(2(0(2(0(2(0(2(1(2(1(0(0(1(0(0(2(1(2(0(2(0(0(2(1(2(2(1(1(2(2(2(1(2(1(0(0(2(0(0(2(2(2(1(0(2(0(x1)))))))))))))))))))))))))))))))))))))))))))))))))) 2(1(2(0(2(2(0(2(0(0(1(0(1(0(0(1(0(2(2(1(0(2(1(1(0(2(1(1(0(1(2(2(0(0(0(1(2(1(2(0(1(1(1(2(1(1(0(x1))))))))))))))))))))))))))))))))))))))))))))))) -> 0(2(2(0(1(2(1(0(2(0(2(0(0(1(2(2(1(1(2(2(2(0(1(2(0(0(2(2(0(0(0(1(2(2(1(2(2(1(0(2(1(1(1(1(0(1(0(2(0(x1))))))))))))))))))))))))))))))))))))))))))))))))) 2(1(2(2(2(1(1(1(1(1(1(0(1(0(0(2(2(2(0(1(1(1(0(2(1(1(2(1(2(0(0(0(0(2(1(1(0(2(1(1(0(0(0(1(0(0(1(x1))))))))))))))))))))))))))))))))))))))))))))))) -> 0(2(2(2(1(2(1(2(0(1(1(1(1(1(2(2(0(0(0(2(2(2(1(1(0(1(1(0(1(1(1(2(0(0(2(0(1(1(2(2(2(1(0(2(2(2(2(2(0(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 ---------------------------------------- (7) RenamingProof (BOTH BOUNDS(ID, ID)) Renamed function symbols to avoid clashes with predefined symbol. ---------------------------------------- (8) Obligation: The Runtime Complexity (innermost) of the given CpxRelTRS could be proven to be BOUNDS(1, INF). The TRS R consists of the following rules: 0(0(1(1(0(0(0(1(x1)))))))) -> 0(2(0(1(0(1(1(1(1(x1))))))))) 2(2(0(0(2(1(0(1(x1)))))))) -> 1(2(2(0(0(1(2(0(x1)))))))) 1(2(1(0(0(1(2(1(1(x1))))))))) -> 1(0(2(0(1(1(2(1(1(x1))))))))) 0(1(2(1(1(1(0(2(0(2(x1)))))))))) -> 0(2(0(2(0(2(0(2(0(1(2(x1))))))))))) 1(0(2(1(0(0(1(0(1(2(x1)))))))))) -> 1(2(0(0(1(1(0(0(1(2(x1)))))))))) 1(1(0(1(2(2(2(2(0(2(1(1(x1)))))))))))) -> 1(1(0(1(2(2(0(2(0(1(2(2(2(x1))))))))))))) 2(1(2(0(0(0(0(1(2(0(1(1(1(x1))))))))))))) -> 0(0(2(0(2(0(0(2(0(0(0(1(1(1(x1)))))))))))))) 0(1(0(1(2(0(0(1(0(0(1(2(1(0(1(0(x1)))))))))))))))) -> 0(1(1(1(1(2(0(2(1(0(0(0(1(0(0(0(x1)))))))))))))))) 0(1(0(1(1(0(1(2(2(1(1(1(0(2(1(1(1(x1))))))))))))))))) -> 0(2(1(1(0(2(2(0(2(2(0(0(2(0(1(2(1(2(x1)))))))))))))))))) 1(2(0(1(0(0(0(1(2(2(1(1(2(0(1(0(1(1(0(x1))))))))))))))))))) -> 2(0(2(1(0(2(2(2(0(0(0(2(2(2(2(0(2(0(2(0(x1)))))))))))))))))))) 2(1(1(1(0(0(1(2(1(0(0(2(1(0(1(1(0(1(1(0(x1)))))))))))))))))))) -> 1(0(2(1(0(2(0(2(2(0(0(2(0(0(0(2(0(1(1(1(2(0(x1)))))))))))))))))))))) 1(0(1(0(2(2(2(2(0(1(1(0(1(2(2(0(2(1(0(1(1(x1))))))))))))))))))))) -> 2(0(0(0(2(2(1(2(0(2(0(1(0(0(2(0(2(0(0(2(1(0(x1)))))))))))))))))))))) 2(2(1(1(0(2(1(1(1(2(1(2(2(2(2(1(2(1(0(2(2(x1))))))))))))))))))))) -> 1(2(1(2(2(0(0(2(0(0(0(2(2(1(0(2(0(0(2(0(2(1(x1)))))))))))))))))))))) 2(1(2(2(0(2(2(0(0(2(1(1(2(2(1(2(2(0(1(0(1(1(x1)))))))))))))))))))))) -> 1(0(1(1(2(1(1(2(1(0(0(0(1(0(0(2(0(0(2(0(1(0(1(x1))))))))))))))))))))))) 0(1(2(0(1(1(1(1(2(2(0(2(2(1(0(0(0(1(0(2(1(1(1(x1))))))))))))))))))))))) -> 0(1(0(0(2(0(1(1(2(2(0(0(1(0(2(0(1(1(1(1(1(2(2(2(x1)))))))))))))))))))))))) 2(2(0(0(0(1(0(2(1(0(1(0(0(0(1(0(2(2(2(1(0(0(0(x1))))))))))))))))))))))) -> 0(0(2(0(0(1(2(0(0(1(1(0(2(0(2(2(0(1(0(2(1(0(0(x1))))))))))))))))))))))) 0(0(0(2(2(0(2(1(1(0(0(2(2(1(2(0(1(0(1(0(1(1(0(0(x1)))))))))))))))))))))))) -> 0(0(1(0(2(0(0(1(2(2(2(2(2(1(0(1(2(1(2(0(1(1(1(1(1(x1))))))))))))))))))))))))) 1(1(0(1(1(1(1(0(1(0(0(2(1(1(2(0(0(1(1(0(2(0(0(0(x1)))))))))))))))))))))))) -> 2(0(0(2(1(0(2(2(2(0(0(2(2(2(2(0(0(0(2(0(1(2(0(0(0(x1))))))))))))))))))))))))) 2(1(0(0(1(1(0(2(2(0(1(0(0(1(2(0(2(1(2(0(1(0(0(0(x1)))))))))))))))))))))))) -> 2(1(1(0(1(2(0(0(2(0(2(0(2(1(0(1(2(0(1(0(2(1(1(2(0(0(x1)))))))))))))))))))))))))) 2(2(2(1(0(0(2(0(1(0(2(1(0(2(1(0(0(1(1(0(0(0(2(0(2(x1))))))))))))))))))))))))) -> 1(0(2(0(1(0(1(0(2(0(1(1(1(2(1(0(2(0(2(0(2(2(0(0(2(0(2(x1))))))))))))))))))))))))))) 1(0(0(1(2(0(0(0(1(1(1(1(2(2(2(2(2(1(1(2(1(0(1(0(1(0(x1)))))))))))))))))))))))))) -> 1(0(1(0(2(2(0(2(0(1(1(2(2(1(2(2(2(2(0(0(1(1(0(1(0(2(0(x1))))))))))))))))))))))))))) 0(1(0(0(2(2(0(1(0(1(2(1(2(2(2(1(0(1(2(1(0(1(1(1(2(0(2(1(x1)))))))))))))))))))))))))))) -> 0(0(2(0(0(2(2(0(0(1(1(2(1(1(1(2(0(0(1(1(2(0(2(0(2(2(1(2(2(x1))))))))))))))))))))))))))))) 1(2(1(0(0(1(1(0(1(0(2(1(2(0(2(0(1(1(2(1(2(0(1(1(0(0(0(1(x1)))))))))))))))))))))))))))) -> 1(1(1(1(2(0(2(0(0(1(2(0(0(0(0(2(2(1(0(0(2(0(1(2(0(1(2(0(0(x1))))))))))))))))))))))))))))) 2(1(1(1(0(1(0(0(1(0(1(1(0(1(0(2(0(0(0(1(1(1(2(2(0(1(2(2(x1)))))))))))))))))))))))))))) -> 2(0(0(1(2(1(1(2(0(2(0(1(1(1(1(2(0(1(2(1(2(2(2(2(2(2(0(2(2(x1))))))))))))))))))))))))))))) 2(1(1(0(0(0(1(1(2(2(1(2(1(2(1(2(2(0(1(0(0(0(1(2(0(0(1(1(2(x1))))))))))))))))))))))))))))) -> 0(2(1(2(2(0(1(0(1(2(0(0(1(1(1(0(1(1(1(1(2(0(2(2(0(2(1(0(2(x1))))))))))))))))))))))))))))) 0(0(2(0(2(1(1(2(0(2(1(1(2(0(1(0(1(2(1(1(1(0(0(0(0(2(2(1(2(0(x1)))))))))))))))))))))))))))))) -> 0(0(2(0(1(1(1(0(0(2(1(1(2(0(0(2(2(0(1(1(1(2(0(2(0(2(1(2(1(0(x1)))))))))))))))))))))))))))))) 0(1(0(1(0(2(1(1(0(1(2(0(0(1(2(2(0(2(0(2(1(2(1(2(2(0(2(2(1(2(x1)))))))))))))))))))))))))))))) -> 0(2(2(1(0(0(0(2(2(1(0(2(0(2(0(1(2(0(1(2(0(1(2(0(2(0(1(2(1(2(1(x1))))))))))))))))))))))))))))))) 1(2(0(0(0(2(0(1(1(2(2(0(0(2(2(0(2(1(1(1(2(1(1(1(0(1(2(1(2(1(x1)))))))))))))))))))))))))))))) -> 1(0(2(0(1(1(2(0(2(1(0(0(1(2(2(0(1(1(2(0(2(2(1(2(2(2(2(1(1(1(2(x1))))))))))))))))))))))))))))))) 1(2(1(1(1(2(1(0(2(2(0(1(2(0(0(1(0(0(2(1(2(1(2(1(0(1(0(2(1(0(x1)))))))))))))))))))))))))))))) -> 1(0(1(0(0(0(2(0(1(1(1(2(2(2(2(1(0(2(0(2(2(1(1(0(1(2(2(1(1(1(0(x1))))))))))))))))))))))))))))))) 2(2(0(1(2(1(2(1(0(2(1(1(0(0(1(0(1(2(1(1(0(1(0(2(1(1(2(0(0(0(x1)))))))))))))))))))))))))))))) -> 1(0(0(1(0(0(2(1(2(2(1(0(2(1(2(2(1(0(1(1(2(1(0(2(0(1(2(2(0(2(0(x1))))))))))))))))))))))))))))))) 0(1(0(0(2(1(0(1(1(1(1(1(0(1(0(1(0(2(2(0(2(2(1(2(2(2(1(0(0(2(2(x1))))))))))))))))))))))))))))))) -> 0(0(2(1(1(2(0(1(2(2(2(0(2(1(2(2(0(2(1(0(0(1(2(0(0(2(0(1(0(2(0(2(x1)))))))))))))))))))))))))))))))) 0(0(1(1(1(1(2(2(0(0(2(1(2(2(1(0(2(1(0(0(1(1(0(2(0(2(2(2(2(0(2(1(x1)))))))))))))))))))))))))))))))) -> 0(0(1(1(1(2(1(2(2(0(0(1(2(2(1(2(2(1(2(0(1(0(2(0(0(2(0(2(1(0(2(1(x1)))))))))))))))))))))))))))))))) 1(2(2(2(1(0(0(2(0(0(1(1(1(2(1(1(1(2(2(1(2(0(2(1(0(1(2(1(1(1(2(2(x1)))))))))))))))))))))))))))))))) -> 1(1(1(2(1(0(2(1(0(2(1(1(2(2(1(2(1(1(1(2(1(0(2(0(0(2(0(2(2(1(1(2(x1)))))))))))))))))))))))))))))))) 1(2(2(0(2(1(2(0(2(2(1(1(1(2(1(2(1(2(2(2(2(2(0(0(0(0(1(0(0(0(1(1(2(0(x1)))))))))))))))))))))))))))))))))) -> 1(1(2(1(1(1(0(1(2(0(0(1(2(2(0(2(0(0(2(0(1(0(2(0(0(1(0(0(0(2(0(2(1(2(2(0(1(x1))))))))))))))))))))))))))))))))))))) 2(1(0(1(2(2(0(1(0(0(0(2(1(1(0(1(2(1(1(0(0(2(2(0(1(1(1(2(1(1(1(1(2(1(x1)))))))))))))))))))))))))))))))))) -> 2(0(0(2(0(0(1(2(0(2(2(0(2(2(2(0(0(0(1(0(2(0(0(1(2(0(0(2(0(1(2(0(0(1(0(x1))))))))))))))))))))))))))))))))))) 2(1(1(1(2(2(0(2(0(0(0(0(1(1(2(0(2(2(0(0(2(2(2(0(0(2(1(0(2(1(0(2(1(2(x1)))))))))))))))))))))))))))))))))) -> 1(0(2(0(2(0(0(0(0(2(2(0(0(2(0(0(2(0(2(1(0(0(2(0(1(2(0(0(0(1(2(1(1(2(0(2(x1)))))))))))))))))))))))))))))))))))) 2(1(1(2(2(0(1(1(0(2(1(0(1(1(0(2(1(1(1(0(1(0(2(1(0(2(1(1(1(0(1(0(0(1(x1)))))))))))))))))))))))))))))))))) -> 0(1(2(0(1(2(0(2(0(2(1(2(0(0(1(2(1(1(2(0(0(1(2(2(1(2(1(0(0(1(2(1(0(0(0(0(x1)))))))))))))))))))))))))))))))))))) 2(1(2(1(2(2(2(0(2(2(0(2(2(1(2(1(1(0(0(1(0(1(0(2(1(1(0(2(0(0(2(1(1(1(x1)))))))))))))))))))))))))))))))))) -> 1(2(2(2(0(2(0(2(1(2(0(0(0(1(1(0(1(2(0(0(0(2(0(0(0(1(0(2(2(2(2(1(0(2(2(x1))))))))))))))))))))))))))))))))))) 2(2(2(0(1(1(1(1(1(1(0(2(1(1(0(0(0(1(1(2(2(2(2(2(2(2(2(0(0(1(0(2(0(1(x1)))))))))))))))))))))))))))))))))) -> 0(1(0(0(1(0(0(1(2(0(2(0(2(0(2(0(2(2(1(0(2(1(1(1(1(1(1(0(1(0(1(1(0(0(0(x1))))))))))))))))))))))))))))))))))) 0(2(1(2(0(1(2(1(1(1(2(0(0(0(0(1(2(1(0(0(2(2(2(0(1(2(0(2(1(1(2(2(1(2(1(x1))))))))))))))))))))))))))))))))))) -> 0(2(1(2(0(2(0(1(0(1(0(0(1(2(0(2(2(1(0(2(1(2(0(0(1(2(1(2(2(2(1(2(1(1(1(x1))))))))))))))))))))))))))))))))))) 1(1(1(0(1(2(2(2(2(0(1(0(2(2(0(0(0(1(2(0(0(0(2(2(1(0(0(0(0(1(1(0(0(0(1(x1))))))))))))))))))))))))))))))))))) -> 1(1(1(1(2(0(1(1(1(0(1(0(2(0(0(1(1(2(1(0(2(2(0(0(0(0(1(2(0(1(0(0(2(0(1(2(0(x1))))))))))))))))))))))))))))))))))))) 1(1(2(1(1(0(2(0(2(0(0(0(1(0(1(1(1(1(2(2(1(1(0(2(2(2(0(2(1(0(1(2(0(0(0(x1))))))))))))))))))))))))))))))))))) -> 1(0(2(0(1(0(2(0(1(1(0(0(0(1(2(0(1(1(1(0(2(0(2(0(0(2(0(2(2(1(2(0(2(2(0(1(0(x1))))))))))))))))))))))))))))))))))))) 2(1(0(2(1(0(2(2(2(2(0(0(0(1(1(1(2(2(0(2(2(2(0(1(0(2(1(0(1(1(2(2(2(0(0(x1))))))))))))))))))))))))))))))))))) -> 0(2(0(1(2(1(1(0(2(2(0(0(0(0(2(0(1(0(2(1(2(2(0(1(0(1(0(1(2(0(0(2(2(0(1(0(x1)))))))))))))))))))))))))))))))))))) 2(2(2(1(0(0(1(0(0(1(2(1(1(2(1(2(0(1(1(0(1(2(0(1(2(2(1(0(1(0(0(1(2(1(1(x1))))))))))))))))))))))))))))))))))) -> 0(0(2(0(0(0(1(2(1(2(0(1(1(0(2(0(1(0(1(2(0(0(1(1(2(0(0(1(1(0(2(2(0(2(2(1(1(x1))))))))))))))))))))))))))))))))))))) 0(2(2(2(1(2(0(2(1(0(1(2(2(0(1(1(0(2(0(0(1(2(2(2(0(0(2(0(2(2(1(0(0(1(0(0(x1)))))))))))))))))))))))))))))))))))) -> 0(0(0(2(0(0(0(2(2(2(0(1(0(2(1(2(2(0(1(2(2(0(0(0(1(0(0(0(2(0(1(1(0(2(0(2(0(x1))))))))))))))))))))))))))))))))))))) 1(0(1(2(0(1(0(2(2(1(2(2(0(0(0(2(1(1(2(0(2(1(1(1(0(1(0(0(0(2(1(1(2(1(0(0(x1)))))))))))))))))))))))))))))))))))) -> 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1(0(1(2(1(2(1(2(2(2(1(0(2(1(0(0(2(0(0(0(2(0(1(0(1(1(2(2(0(1(1(0(2(0(0(2(0(1(0(1(x1)))))))))))))))))))))))))))))))))))))))) 2(2(1(2(1(1(0(0(0(0(1(2(1(1(1(0(0(1(1(0(0(2(0(1(1(1(0(2(2(1(2(0(0(1(0(0(1(x1))))))))))))))))))))))))))))))))))))) -> 2(0(1(2(0(2(0(1(1(0(0(1(0(1(0(2(0(1(0(2(2(2(1(2(1(0(2(0(2(0(0(2(0(1(1(1(2(0(0(2(1(0(x1)))))))))))))))))))))))))))))))))))))))))) 1(1(2(1(0(2(2(1(2(2(2(0(1(1(0(0(2(1(0(1(2(2(2(1(1(1(2(0(0(0(1(1(0(1(1(1(2(0(x1)))))))))))))))))))))))))))))))))))))) -> 2(0(0(2(0(2(1(0(0(1(0(0(0(1(1(1(0(2(1(0(1(2(0(0(1(1(2(2(1(0(0(2(0(0(1(2(1(0(1(x1))))))))))))))))))))))))))))))))))))))) 2(1(2(1(2(1(1(0(2(0(2(1(2(2(2(1(1(2(0(0(1(0(1(1(2(1(1(2(0(1(2(2(1(1(0(0(1(1(x1)))))))))))))))))))))))))))))))))))))) -> 2(1(0(2(2(1(0(0(0(2(2(2(1(2(0(1(0(0(1(0(0(0(2(1(1(0(0(2(0(1(2(0(2(2(1(0(2(0(0(x1))))))))))))))))))))))))))))))))))))))) 1(2(2(0(1(2(2(2(0(1(1(1(2(1(1(0(0(1(2(1(2(2(2(1(0(0(0(0(1(1(2(1(0(0(1(0(2(1(1(x1))))))))))))))))))))))))))))))))))))))) -> 1(2(2(1(2(1(1(1(1(1(2(2(1(1(1(0(2(2(2(0(2(0(0(2(2(0(0(0(2(0(2(0(2(2(2(1(0(2(0(2(2(x1))))))))))))))))))))))))))))))))))))))))) 2(1(0(0(1(0(0(1(2(2(0(2(2(1(0(0(0(2(2(1(1(2(0(1(2(0(0(1(2(0(2(1(0(2(2(0(1(1(1(x1))))))))))))))))))))))))))))))))))))))) -> 2(1(2(0(0(1(2(0(1(2(0(0(0(2(2(0(2(0(1(0(0(0(2(0(0(2(2(0(2(2(2(0(0(2(0(1(0(2(0(1(0(x1))))))))))))))))))))))))))))))))))))))))) 2(2(2(0(0(2(0(2(1(2(1(2(1(0(1(1(2(1(1(2(0(1(0(1(0(0(1(1(2(1(1(2(2(1(1(1(1(0(1(x1))))))))))))))))))))))))))))))))))))))) -> 1(0(2(1(1(2(1(1(2(0(0(2(2(0(2(0(1(2(1(0(2(0(1(2(1(2(2(2(2(0(2(2(2(1(0(2(0(0(1(1(x1)))))))))))))))))))))))))))))))))))))))) 2(2(2(0(2(1(2(1(0(0(0(0(1(2(2(1(0(2(2(1(1(0(0(0(2(0(0(0(1(0(2(1(2(2(1(1(0(2(1(x1))))))))))))))))))))))))))))))))))))))) -> 1(2(0(1(1(2(0(2(2(0(2(1(0(2(0(2(0(1(1(0(1(2(2(1(0(1(0(0(0(2(0(2(2(1(0(0(0(1(0(1(x1)))))))))))))))))))))))))))))))))))))))) 0(2(0(0(1(0(0(2(2(2(0(1(1(1(1(2(2(0(0(0(0(2(0(1(2(1(0(1(2(1(2(2(2(0(0(0(0(1(0(0(x1)))))))))))))))))))))))))))))))))))))))) -> 0(1(0(0(2(0(2(0(0(2(1(0(0(2(2(1(1(2(2(2(1(2(0(1(1(2(0(2(0(2(1(2(0(2(0(1(2(0(2(1(0(0(1(x1))))))))))))))))))))))))))))))))))))))))))) 0(2(1(1(1(0(2(1(1(0(0(2(1(0(2(1(1(0(2(2(1(0(2(0(1(0(2(1(0(1(1(2(2(1(0(1(2(2(0(0(x1)))))))))))))))))))))))))))))))))))))))) -> 0(2(1(2(2(2(2(1(1(1(1(1(2(0(0(2(0(2(0(0(2(1(1(1(0(2(0(2(2(2(1(1(1(0(0(0(1(2(2(0(2(0(x1)))))))))))))))))))))))))))))))))))))))))) 2(1(0(0(1(0(2(2(1(1(1(0(1(2(0(1(0(2(1(0(0(2(2(1(1(1(2(2(0(0(0(0(1(1(2(1(0(1(2(2(x1)))))))))))))))))))))))))))))))))))))))) -> 2(2(0(0(1(2(0(2(1(2(1(1(1(2(2(1(0(0(1(0(0(2(0(1(2(1(2(1(0(2(0(2(0(1(1(1(0(1(1(0(x1)))))))))))))))))))))))))))))))))))))))) 2(1(2(0(1(0(0(1(1(0(2(1(1(0(1(2(1(1(2(1(0(2(2(2(1(1(1(0(1(0(2(0(1(2(1(1(0(2(2(0(x1)))))))))))))))))))))))))))))))))))))))) -> 2(0(0(2(0(0(1(2(2(2(2(2(1(2(0(2(0(1(2(1(0(0(1(1(0(1(1(1(2(0(2(0(2(1(0(1(2(0(1(2(0(1(x1)))))))))))))))))))))))))))))))))))))))))) 0(2(2(0(1(2(0(0(0(2(2(2(1(2(2(2(1(0(0(0(2(0(2(1(1(0(2(1(2(0(1(0(2(1(2(0(2(1(0(1(0(1(x1)))))))))))))))))))))))))))))))))))))))))) -> 0(1(1(1(2(0(0(0(0(1(1(2(0(2(0(2(0(0(0(2(2(0(0(0(0(2(2(0(1(1(0(0(1(2(1(2(0(1(2(0(0(2(0(0(0(x1))))))))))))))))))))))))))))))))))))))))))))) 0(2(2(2(0(1(1(2(1(1(2(2(1(1(1(2(2(1(1(1(1(0(2(1(1(0(0(2(0(1(2(2(1(1(0(0(0(1(1(0(0(0(x1)))))))))))))))))))))))))))))))))))))))))) -> 0(0(1(0(2(2(0(2(0(0(2(0(2(0(1(2(0(2(0(2(0(0(1(1(2(1(0(1(0(1(2(2(0(2(2(1(0(0(2(0(2(1(0(x1))))))))))))))))))))))))))))))))))))))))))) 1(1(1(2(0(1(0(1(0(1(1(1(2(1(1(2(1(2(2(1(1(2(1(1(2(1(2(0(0(2(2(2(1(2(0(0(0(0(1(1(0(0(x1)))))))))))))))))))))))))))))))))))))))))) -> 1(2(1(0(1(2(0(1(0(2(0(2(2(2(0(1(1(1(1(2(1(0(2(2(1(0(2(2(1(1(0(2(1(2(0(2(0(2(1(0(0(0(0(x1))))))))))))))))))))))))))))))))))))))))))) 2(1(1(2(0(2(0(2(0(1(1(0(2(2(2(2(1(1(1(0(0(0(1(1(0(0(0(1(2(0(0(0(0(1(0(1(2(1(2(2(0(1(x1)))))))))))))))))))))))))))))))))))))))))) -> 2(2(2(0(0(1(2(0(0(2(0(1(1(0(2(0(1(2(0(1(0(0(2(0(2(1(1(0(2(1(0(0(2(2(1(2(2(2(0(1(1(2(0(2(0(x1))))))))))))))))))))))))))))))))))))))))))))) 2(1(2(0(0(2(1(0(1(2(1(2(0(0(0(0(1(1(1(0(2(0(1(0(2(1(2(1(2(0(2(1(1(1(1(0(1(0(0(1(1(0(x1)))))))))))))))))))))))))))))))))))))))))) -> 2(2(1(1(1(1(2(2(0(2(1(1(1(2(2(1(0(1(0(1(2(0(2(2(2(1(1(2(0(1(2(0(1(0(0(2(1(0(2(0(1(0(1(x1))))))))))))))))))))))))))))))))))))))))))) 2(2(0(2(2(1(2(0(2(2(2(1(1(0(2(1(1(1(2(2(0(1(0(1(0(1(0(0(1(2(0(0(2(2(0(0(2(1(1(1(1(2(x1)))))))))))))))))))))))))))))))))))))))))) -> 0(1(2(2(0(2(0(0(0(2(0(2(1(2(0(0(1(0(2(0(0(2(0(1(1(2(1(1(0(2(1(2(1(2(0(0(0(1(2(0(0(1(0(x1))))))))))))))))))))))))))))))))))))))))))) 1(2(1(2(1(0(2(2(2(1(2(0(0(2(2(0(1(2(1(1(2(1(0(1(2(2(1(2(0(1(2(2(1(2(2(1(1(2(1(0(1(1(1(x1))))))))))))))))))))))))))))))))))))))))))) -> 1(0(0(2(1(0(1(2(2(1(0(1(2(1(0(1(0(1(2(0(2(2(1(0(2(1(2(2(2(0(0(1(2(0(2(0(0(1(1(0(2(1(2(0(1(x1))))))))))))))))))))))))))))))))))))))))))))) 2(2(2(2(0(2(2(2(2(0(1(2(1(1(0(2(1(1(2(1(0(1(0(1(0(0(0(0(2(0(0(1(2(1(2(1(1(0(0(1(2(0(1(x1))))))))))))))))))))))))))))))))))))))))))) -> 2(0(1(2(1(2(0(2(0(1(2(0(1(1(0(2(2(0(0(1(1(2(2(1(1(1(2(1(2(2(0(2(2(1(0(1(1(1(1(1(0(1(2(0(x1)))))))))))))))))))))))))))))))))))))))))))) 1(2(1(1(0(2(2(0(1(2(2(0(2(0(0(1(1(0(1(2(2(2(0(2(2(0(0(0(0(1(1(0(1(0(0(0(1(2(1(2(2(2(0(0(x1)))))))))))))))))))))))))))))))))))))))))))) -> 1(1(2(1(0(2(0(2(2(2(1(1(1(1(0(2(1(1(2(1(0(0(2(1(0(0(2(0(2(1(2(2(1(0(1(1(2(0(1(0(2(2(2(0(0(x1))))))))))))))))))))))))))))))))))))))))))))) 0(2(1(2(0(2(1(1(2(2(0(2(1(2(2(0(0(0(1(1(1(0(2(2(2(2(2(2(2(2(2(1(1(1(2(1(0(1(1(0(0(0(2(0(0(x1))))))))))))))))))))))))))))))))))))))))))))) -> 0(2(2(0(2(2(2(0(0(2(2(1(0(1(0(0(2(2(1(1(0(2(2(0(2(2(2(0(1(2(0(0(2(0(2(0(2(1(1(2(2(1(2(1(1(0(x1)))))))))))))))))))))))))))))))))))))))))))))) 2(2(1(0(0(2(1(2(0(0(0(2(1(0(2(0(2(1(2(2(2(0(1(2(2(0(0(0(1(0(2(2(2(1(0(1(2(1(0(0(2(0(1(0(1(x1))))))))))))))))))))))))))))))))))))))))))))) -> 2(1(1(2(1(1(1(0(2(0(1(1(1(2(0(0(2(2(1(2(2(2(2(0(2(0(1(1(0(1(2(2(2(1(1(2(1(1(1(0(0(0(2(0(1(0(x1)))))))))))))))))))))))))))))))))))))))))))))) 2(0(1(1(2(0(0(1(1(1(0(0(0(2(0(0(1(0(0(1(0(0(0(2(1(2(1(0(1(1(1(1(0(0(1(1(0(2(0(2(2(1(0(2(1(1(0(x1))))))))))))))))))))))))))))))))))))))))))))))) -> 2(0(2(0(2(0(2(0(2(0(2(1(2(1(0(0(1(0(0(2(1(2(0(2(0(0(2(1(2(2(1(1(2(2(2(1(2(1(0(0(2(0(0(2(2(2(1(0(2(0(x1)))))))))))))))))))))))))))))))))))))))))))))))))) 2(1(2(0(2(2(0(2(0(0(1(0(1(0(0(1(0(2(2(1(0(2(1(1(0(2(1(1(0(1(2(2(0(0(0(1(2(1(2(0(1(1(1(2(1(1(0(x1))))))))))))))))))))))))))))))))))))))))))))))) -> 0(2(2(0(1(2(1(0(2(0(2(0(0(1(2(2(1(1(2(2(2(0(1(2(0(0(2(2(0(0(0(1(2(2(1(2(2(1(0(2(1(1(1(1(0(1(0(2(0(x1))))))))))))))))))))))))))))))))))))))))))))))))) 2(1(2(2(2(1(1(1(1(1(1(0(1(0(0(2(2(2(0(1(1(1(0(2(1(1(2(1(2(0(0(0(0(2(1(1(0(2(1(1(0(0(0(1(0(0(1(x1))))))))))))))))))))))))))))))))))))))))))))))) -> 0(2(2(2(1(2(1(2(0(1(1(1(1(1(2(2(0(0(0(2(2(2(1(1(0(1(1(0(1(1(1(2(0(0(2(0(1(1(2(2(2(1(0(2(2(2(2(2(0(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 ---------------------------------------- (9) TypeInferenceProof (BOTH BOUNDS(ID, ID)) Infered types. ---------------------------------------- (10) Obligation: Innermost TRS: Rules: 0(0(1(1(0(0(0(1(x1)))))))) -> 0(2(0(1(0(1(1(1(1(x1))))))))) 2(2(0(0(2(1(0(1(x1)))))))) -> 1(2(2(0(0(1(2(0(x1)))))))) 1(2(1(0(0(1(2(1(1(x1))))))))) -> 1(0(2(0(1(1(2(1(1(x1))))))))) 0(1(2(1(1(1(0(2(0(2(x1)))))))))) -> 0(2(0(2(0(2(0(2(0(1(2(x1))))))))))) 1(0(2(1(0(0(1(0(1(2(x1)))))))))) -> 1(2(0(0(1(1(0(0(1(2(x1)))))))))) 1(1(0(1(2(2(2(2(0(2(1(1(x1)))))))))))) -> 1(1(0(1(2(2(0(2(0(1(2(2(2(x1))))))))))))) 2(1(2(0(0(0(0(1(2(0(1(1(1(x1))))))))))))) -> 0(0(2(0(2(0(0(2(0(0(0(1(1(1(x1)))))))))))))) 0(1(0(1(2(0(0(1(0(0(1(2(1(0(1(0(x1)))))))))))))))) -> 0(1(1(1(1(2(0(2(1(0(0(0(1(0(0(0(x1)))))))))))))))) 0(1(0(1(1(0(1(2(2(1(1(1(0(2(1(1(1(x1))))))))))))))))) -> 0(2(1(1(0(2(2(0(2(2(0(0(2(0(1(2(1(2(x1)))))))))))))))))) 1(2(0(1(0(0(0(1(2(2(1(1(2(0(1(0(1(1(0(x1))))))))))))))))))) -> 2(0(2(1(0(2(2(2(0(0(0(2(2(2(2(0(2(0(2(0(x1)))))))))))))))))))) 2(1(1(1(0(0(1(2(1(0(0(2(1(0(1(1(0(1(1(0(x1)))))))))))))))))))) -> 1(0(2(1(0(2(0(2(2(0(0(2(0(0(0(2(0(1(1(1(2(0(x1)))))))))))))))))))))) 1(0(1(0(2(2(2(2(0(1(1(0(1(2(2(0(2(1(0(1(1(x1))))))))))))))))))))) -> 2(0(0(0(2(2(1(2(0(2(0(1(0(0(2(0(2(0(0(2(1(0(x1)))))))))))))))))))))) 2(2(1(1(0(2(1(1(1(2(1(2(2(2(2(1(2(1(0(2(2(x1))))))))))))))))))))) -> 1(2(1(2(2(0(0(2(0(0(0(2(2(1(0(2(0(0(2(0(2(1(x1)))))))))))))))))))))) 2(1(2(2(0(2(2(0(0(2(1(1(2(2(1(2(2(0(1(0(1(1(x1)))))))))))))))))))))) -> 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2(1(0(0(1(0(2(2(1(1(1(0(1(2(0(1(0(2(1(0(0(2(2(1(1(1(2(2(0(0(0(0(1(1(2(1(0(1(2(2(x1)))))))))))))))))))))))))))))))))))))))) -> 2(2(0(0(1(2(0(2(1(2(1(1(1(2(2(1(0(0(1(0(0(2(0(1(2(1(2(1(0(2(0(2(0(1(1(1(0(1(1(0(x1)))))))))))))))))))))))))))))))))))))))) 2(1(2(0(1(0(0(1(1(0(2(1(1(0(1(2(1(1(2(1(0(2(2(2(1(1(1(0(1(0(2(0(1(2(1(1(0(2(2(0(x1)))))))))))))))))))))))))))))))))))))))) -> 2(0(0(2(0(0(1(2(2(2(2(2(1(2(0(2(0(1(2(1(0(0(1(1(0(1(1(1(2(0(2(0(2(1(0(1(2(0(1(2(0(1(x1)))))))))))))))))))))))))))))))))))))))))) 0(2(2(0(1(2(0(0(0(2(2(2(1(2(2(2(1(0(0(0(2(0(2(1(1(0(2(1(2(0(1(0(2(1(2(0(2(1(0(1(0(1(x1)))))))))))))))))))))))))))))))))))))))))) -> 0(1(1(1(2(0(0(0(0(1(1(2(0(2(0(2(0(0(0(2(2(0(0(0(0(2(2(0(1(1(0(0(1(2(1(2(0(1(2(0(0(2(0(0(0(x1))))))))))))))))))))))))))))))))))))))))))))) 0(2(2(2(0(1(1(2(1(1(2(2(1(1(1(2(2(1(1(1(1(0(2(1(1(0(0(2(0(1(2(2(1(1(0(0(0(1(1(0(0(0(x1)))))))))))))))))))))))))))))))))))))))))) -> 0(0(1(0(2(2(0(2(0(0(2(0(2(0(1(2(0(2(0(2(0(0(1(1(2(1(0(1(0(1(2(2(0(2(2(1(0(0(2(0(2(1(0(x1))))))))))))))))))))))))))))))))))))))))))) 1(1(1(2(0(1(0(1(0(1(1(1(2(1(1(2(1(2(2(1(1(2(1(1(2(1(2(0(0(2(2(2(1(2(0(0(0(0(1(1(0(0(x1)))))))))))))))))))))))))))))))))))))))))) -> 1(2(1(0(1(2(0(1(0(2(0(2(2(2(0(1(1(1(1(2(1(0(2(2(1(0(2(2(1(1(0(2(1(2(0(2(0(2(1(0(0(0(0(x1))))))))))))))))))))))))))))))))))))))))))) 2(1(1(2(0(2(0(2(0(1(1(0(2(2(2(2(1(1(1(0(0(0(1(1(0(0(0(1(2(0(0(0(0(1(0(1(2(1(2(2(0(1(x1)))))))))))))))))))))))))))))))))))))))))) -> 2(2(2(0(0(1(2(0(0(2(0(1(1(0(2(0(1(2(0(1(0(0(2(0(2(1(1(0(2(1(0(0(2(2(1(2(2(2(0(1(1(2(0(2(0(x1))))))))))))))))))))))))))))))))))))))))))))) 2(1(2(0(0(2(1(0(1(2(1(2(0(0(0(0(1(1(1(0(2(0(1(0(2(1(2(1(2(0(2(1(1(1(1(0(1(0(0(1(1(0(x1)))))))))))))))))))))))))))))))))))))))))) -> 2(2(1(1(1(1(2(2(0(2(1(1(1(2(2(1(0(1(0(1(2(0(2(2(2(1(1(2(0(1(2(0(1(0(0(2(1(0(2(0(1(0(1(x1))))))))))))))))))))))))))))))))))))))))))) 2(2(0(2(2(1(2(0(2(2(2(1(1(0(2(1(1(1(2(2(0(1(0(1(0(1(0(0(1(2(0(0(2(2(0(0(2(1(1(1(1(2(x1)))))))))))))))))))))))))))))))))))))))))) -> 0(1(2(2(0(2(0(0(0(2(0(2(1(2(0(0(1(0(2(0(0(2(0(1(1(2(1(1(0(2(1(2(1(2(0(0(0(1(2(0(0(1(0(x1))))))))))))))))))))))))))))))))))))))))))) 1(2(1(2(1(0(2(2(2(1(2(0(0(2(2(0(1(2(1(1(2(1(0(1(2(2(1(2(0(1(2(2(1(2(2(1(1(2(1(0(1(1(1(x1))))))))))))))))))))))))))))))))))))))))))) -> 1(0(0(2(1(0(1(2(2(1(0(1(2(1(0(1(0(1(2(0(2(2(1(0(2(1(2(2(2(0(0(1(2(0(2(0(0(1(1(0(2(1(2(0(1(x1))))))))))))))))))))))))))))))))))))))))))))) 2(2(2(2(0(2(2(2(2(0(1(2(1(1(0(2(1(1(2(1(0(1(0(1(0(0(0(0(2(0(0(1(2(1(2(1(1(0(0(1(2(0(1(x1))))))))))))))))))))))))))))))))))))))))))) -> 2(0(1(2(1(2(0(2(0(1(2(0(1(1(0(2(2(0(0(1(1(2(2(1(1(1(2(1(2(2(0(2(2(1(0(1(1(1(1(1(0(1(2(0(x1)))))))))))))))))))))))))))))))))))))))))))) 1(2(1(1(0(2(2(0(1(2(2(0(2(0(0(1(1(0(1(2(2(2(0(2(2(0(0(0(0(1(1(0(1(0(0(0(1(2(1(2(2(2(0(0(x1)))))))))))))))))))))))))))))))))))))))))))) -> 1(1(2(1(0(2(0(2(2(2(1(1(1(1(0(2(1(1(2(1(0(0(2(1(0(0(2(0(2(1(2(2(1(0(1(1(2(0(1(0(2(2(2(0(0(x1))))))))))))))))))))))))))))))))))))))))))))) 0(2(1(2(0(2(1(1(2(2(0(2(1(2(2(0(0(0(1(1(1(0(2(2(2(2(2(2(2(2(2(1(1(1(2(1(0(1(1(0(0(0(2(0(0(x1))))))))))))))))))))))))))))))))))))))))))))) -> 0(2(2(0(2(2(2(0(0(2(2(1(0(1(0(0(2(2(1(1(0(2(2(0(2(2(2(0(1(2(0(0(2(0(2(0(2(1(1(2(2(1(2(1(1(0(x1)))))))))))))))))))))))))))))))))))))))))))))) 2(2(1(0(0(2(1(2(0(0(0(2(1(0(2(0(2(1(2(2(2(0(1(2(2(0(0(0(1(0(2(2(2(1(0(1(2(1(0(0(2(0(1(0(1(x1))))))))))))))))))))))))))))))))))))))))))))) -> 2(1(1(2(1(1(1(0(2(0(1(1(1(2(0(0(2(2(1(2(2(2(2(0(2(0(1(1(0(1(2(2(2(1(1(2(1(1(1(0(0(0(2(0(1(0(x1)))))))))))))))))))))))))))))))))))))))))))))) 2(0(1(1(2(0(0(1(1(1(0(0(0(2(0(0(1(0(0(1(0(0(0(2(1(2(1(0(1(1(1(1(0(0(1(1(0(2(0(2(2(1(0(2(1(1(0(x1))))))))))))))))))))))))))))))))))))))))))))))) -> 2(0(2(0(2(0(2(0(2(0(2(1(2(1(0(0(1(0(0(2(1(2(0(2(0(0(2(1(2(2(1(1(2(2(2(1(2(1(0(0(2(0(0(2(2(2(1(0(2(0(x1)))))))))))))))))))))))))))))))))))))))))))))))))) 2(1(2(0(2(2(0(2(0(0(1(0(1(0(0(1(0(2(2(1(0(2(1(1(0(2(1(1(0(1(2(2(0(0(0(1(2(1(2(0(1(1(1(2(1(1(0(x1))))))))))))))))))))))))))))))))))))))))))))))) -> 0(2(2(0(1(2(1(0(2(0(2(0(0(1(2(2(1(1(2(2(2(0(1(2(0(0(2(2(0(0(0(1(2(2(1(2(2(1(0(2(1(1(1(1(0(1(0(2(0(x1))))))))))))))))))))))))))))))))))))))))))))))))) 2(1(2(2(2(1(1(1(1(1(1(0(1(0(0(2(2(2(0(1(1(1(0(2(1(1(2(1(2(0(0(0(0(2(1(1(0(2(1(1(0(0(0(1(0(0(1(x1))))))))))))))))))))))))))))))))))))))))))))))) -> 0(2(2(2(1(2(1(2(0(1(1(1(1(1(2(2(0(0(0(2(2(2(1(1(0(1(1(0(1(1(1(2(0(0(2(0(1(1(2(2(2(1(0(2(2(2(2(2(0(x1))))))))))))))))))))))))))))))))))))))))))))))))) 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)) Types: 0 :: 1:0:2:encArg:encode_0:encode_1:encode_2 -> 1:0:2:encArg:encode_0:encode_1:encode_2 1 :: 1:0:2:encArg:encode_0:encode_1:encode_2 -> 1:0:2:encArg:encode_0:encode_1:encode_2 2 :: 1:0:2:encArg:encode_0:encode_1:encode_2 -> 1:0:2:encArg:encode_0:encode_1:encode_2 encArg :: cons_0:cons_2:cons_1 -> 1:0:2:encArg:encode_0:encode_1:encode_2 cons_0 :: cons_0:cons_2:cons_1 -> cons_0:cons_2:cons_1 cons_2 :: cons_0:cons_2:cons_1 -> cons_0:cons_2:cons_1 cons_1 :: cons_0:cons_2:cons_1 -> cons_0:cons_2:cons_1 encode_0 :: cons_0:cons_2:cons_1 -> 1:0:2:encArg:encode_0:encode_1:encode_2 encode_1 :: cons_0:cons_2:cons_1 -> 1:0:2:encArg:encode_0:encode_1:encode_2 encode_2 :: cons_0:cons_2:cons_1 -> 1:0:2:encArg:encode_0:encode_1:encode_2 hole_1:0:2:encArg:encode_0:encode_1:encode_21_3 :: 1:0:2:encArg:encode_0:encode_1:encode_2 hole_cons_0:cons_2:cons_12_3 :: cons_0:cons_2:cons_1 gen_cons_0:cons_2:cons_13_3 :: Nat -> cons_0:cons_2:cons_1 ---------------------------------------- (11) OrderProof (LOWER BOUND(ID)) Heuristically decided to analyse the following defined symbols: 0, 2, 1, encArg They will be analysed ascendingly in the following order: 0 = 2 0 = 1 0 < encArg 2 = 1 2 < encArg 1 < encArg ---------------------------------------- (12) Obligation: Innermost TRS: Rules: 0(0(1(1(0(0(0(1(x1)))))))) -> 0(2(0(1(0(1(1(1(1(x1))))))))) 2(2(0(0(2(1(0(1(x1)))))))) -> 1(2(2(0(0(1(2(0(x1)))))))) 1(2(1(0(0(1(2(1(1(x1))))))))) -> 1(0(2(0(1(1(2(1(1(x1))))))))) 0(1(2(1(1(1(0(2(0(2(x1)))))))))) -> 0(2(0(2(0(2(0(2(0(1(2(x1))))))))))) 1(0(2(1(0(0(1(0(1(2(x1)))))))))) -> 1(2(0(0(1(1(0(0(1(2(x1)))))))))) 1(1(0(1(2(2(2(2(0(2(1(1(x1)))))))))))) -> 1(1(0(1(2(2(0(2(0(1(2(2(2(x1))))))))))))) 2(1(2(0(0(0(0(1(2(0(1(1(1(x1))))))))))))) -> 0(0(2(0(2(0(0(2(0(0(0(1(1(1(x1)))))))))))))) 0(1(0(1(2(0(0(1(0(0(1(2(1(0(1(0(x1)))))))))))))))) -> 0(1(1(1(1(2(0(2(1(0(0(0(1(0(0(0(x1)))))))))))))))) 0(1(0(1(1(0(1(2(2(1(1(1(0(2(1(1(1(x1))))))))))))))))) -> 0(2(1(1(0(2(2(0(2(2(0(0(2(0(1(2(1(2(x1)))))))))))))))))) 1(2(0(1(0(0(0(1(2(2(1(1(2(0(1(0(1(1(0(x1))))))))))))))))))) -> 2(0(2(1(0(2(2(2(0(0(0(2(2(2(2(0(2(0(2(0(x1)))))))))))))))))))) 2(1(1(1(0(0(1(2(1(0(0(2(1(0(1(1(0(1(1(0(x1)))))))))))))))))))) -> 1(0(2(1(0(2(0(2(2(0(0(2(0(0(0(2(0(1(1(1(2(0(x1)))))))))))))))))))))) 1(0(1(0(2(2(2(2(0(1(1(0(1(2(2(0(2(1(0(1(1(x1))))))))))))))))))))) -> 2(0(0(0(2(2(1(2(0(2(0(1(0(0(2(0(2(0(0(2(1(0(x1)))))))))))))))))))))) 2(2(1(1(0(2(1(1(1(2(1(2(2(2(2(1(2(1(0(2(2(x1))))))))))))))))))))) -> 1(2(1(2(2(0(0(2(0(0(0(2(2(1(0(2(0(0(2(0(2(1(x1)))))))))))))))))))))) 2(1(2(2(0(2(2(0(0(2(1(1(2(2(1(2(2(0(1(0(1(1(x1)))))))))))))))))))))) -> 1(0(1(1(2(1(1(2(1(0(0(0(1(0(0(2(0(0(2(0(1(0(1(x1))))))))))))))))))))))) 0(1(2(0(1(1(1(1(2(2(0(2(2(1(0(0(0(1(0(2(1(1(1(x1))))))))))))))))))))))) -> 0(1(0(0(2(0(1(1(2(2(0(0(1(0(2(0(1(1(1(1(1(2(2(2(x1)))))))))))))))))))))))) 2(2(0(0(0(1(0(2(1(0(1(0(0(0(1(0(2(2(2(1(0(0(0(x1))))))))))))))))))))))) -> 0(0(2(0(0(1(2(0(0(1(1(0(2(0(2(2(0(1(0(2(1(0(0(x1))))))))))))))))))))))) 0(0(0(2(2(0(2(1(1(0(0(2(2(1(2(0(1(0(1(0(1(1(0(0(x1)))))))))))))))))))))))) -> 0(0(1(0(2(0(0(1(2(2(2(2(2(1(0(1(2(1(2(0(1(1(1(1(1(x1))))))))))))))))))))))))) 1(1(0(1(1(1(1(0(1(0(0(2(1(1(2(0(0(1(1(0(2(0(0(0(x1)))))))))))))))))))))))) -> 2(0(0(2(1(0(2(2(2(0(0(2(2(2(2(0(0(0(2(0(1(2(0(0(0(x1))))))))))))))))))))))))) 2(1(0(0(1(1(0(2(2(0(1(0(0(1(2(0(2(1(2(0(1(0(0(0(x1)))))))))))))))))))))))) -> 2(1(1(0(1(2(0(0(2(0(2(0(2(1(0(1(2(0(1(0(2(1(1(2(0(0(x1)))))))))))))))))))))))))) 2(2(2(1(0(0(2(0(1(0(2(1(0(2(1(0(0(1(1(0(0(0(2(0(2(x1))))))))))))))))))))))))) -> 1(0(2(0(1(0(1(0(2(0(1(1(1(2(1(0(2(0(2(0(2(2(0(0(2(0(2(x1))))))))))))))))))))))))))) 1(0(0(1(2(0(0(0(1(1(1(1(2(2(2(2(2(1(1(2(1(0(1(0(1(0(x1)))))))))))))))))))))))))) -> 1(0(1(0(2(2(0(2(0(1(1(2(2(1(2(2(2(2(0(0(1(1(0(1(0(2(0(x1))))))))))))))))))))))))))) 0(1(0(0(2(2(0(1(0(1(2(1(2(2(2(1(0(1(2(1(0(1(1(1(2(0(2(1(x1)))))))))))))))))))))))))))) -> 0(0(2(0(0(2(2(0(0(1(1(2(1(1(1(2(0(0(1(1(2(0(2(0(2(2(1(2(2(x1))))))))))))))))))))))))))))) 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2(1(1(2(0(2(0(2(0(1(1(0(2(2(2(2(1(1(1(0(0(0(1(1(0(0(0(1(2(0(0(0(0(1(0(1(2(1(2(2(0(1(x1)))))))))))))))))))))))))))))))))))))))))) -> 2(2(2(0(0(1(2(0(0(2(0(1(1(0(2(0(1(2(0(1(0(0(2(0(2(1(1(0(2(1(0(0(2(2(1(2(2(2(0(1(1(2(0(2(0(x1))))))))))))))))))))))))))))))))))))))))))))) 2(1(2(0(0(2(1(0(1(2(1(2(0(0(0(0(1(1(1(0(2(0(1(0(2(1(2(1(2(0(2(1(1(1(1(0(1(0(0(1(1(0(x1)))))))))))))))))))))))))))))))))))))))))) -> 2(2(1(1(1(1(2(2(0(2(1(1(1(2(2(1(0(1(0(1(2(0(2(2(2(1(1(2(0(1(2(0(1(0(0(2(1(0(2(0(1(0(1(x1))))))))))))))))))))))))))))))))))))))))))) 2(2(0(2(2(1(2(0(2(2(2(1(1(0(2(1(1(1(2(2(0(1(0(1(0(1(0(0(1(2(0(0(2(2(0(0(2(1(1(1(1(2(x1)))))))))))))))))))))))))))))))))))))))))) -> 0(1(2(2(0(2(0(0(0(2(0(2(1(2(0(0(1(0(2(0(0(2(0(1(1(2(1(1(0(2(1(2(1(2(0(0(0(1(2(0(0(1(0(x1))))))))))))))))))))))))))))))))))))))))))) 1(2(1(2(1(0(2(2(2(1(2(0(0(2(2(0(1(2(1(1(2(1(0(1(2(2(1(2(0(1(2(2(1(2(2(1(1(2(1(0(1(1(1(x1))))))))))))))))))))))))))))))))))))))))))) -> 1(0(0(2(1(0(1(2(2(1(0(1(2(1(0(1(0(1(2(0(2(2(1(0(2(1(2(2(2(0(0(1(2(0(2(0(0(1(1(0(2(1(2(0(1(x1))))))))))))))))))))))))))))))))))))))))))))) 2(2(2(2(0(2(2(2(2(0(1(2(1(1(0(2(1(1(2(1(0(1(0(1(0(0(0(0(2(0(0(1(2(1(2(1(1(0(0(1(2(0(1(x1))))))))))))))))))))))))))))))))))))))))))) -> 2(0(1(2(1(2(0(2(0(1(2(0(1(1(0(2(2(0(0(1(1(2(2(1(1(1(2(1(2(2(0(2(2(1(0(1(1(1(1(1(0(1(2(0(x1)))))))))))))))))))))))))))))))))))))))))))) 1(2(1(1(0(2(2(0(1(2(2(0(2(0(0(1(1(0(1(2(2(2(0(2(2(0(0(0(0(1(1(0(1(0(0(0(1(2(1(2(2(2(0(0(x1)))))))))))))))))))))))))))))))))))))))))))) -> 1(1(2(1(0(2(0(2(2(2(1(1(1(1(0(2(1(1(2(1(0(0(2(1(0(0(2(0(2(1(2(2(1(0(1(1(2(0(1(0(2(2(2(0(0(x1))))))))))))))))))))))))))))))))))))))))))))) 0(2(1(2(0(2(1(1(2(2(0(2(1(2(2(0(0(0(1(1(1(0(2(2(2(2(2(2(2(2(2(1(1(1(2(1(0(1(1(0(0(0(2(0(0(x1))))))))))))))))))))))))))))))))))))))))))))) -> 0(2(2(0(2(2(2(0(0(2(2(1(0(1(0(0(2(2(1(1(0(2(2(0(2(2(2(0(1(2(0(0(2(0(2(0(2(1(1(2(2(1(2(1(1(0(x1)))))))))))))))))))))))))))))))))))))))))))))) 2(2(1(0(0(2(1(2(0(0(0(2(1(0(2(0(2(1(2(2(2(0(1(2(2(0(0(0(1(0(2(2(2(1(0(1(2(1(0(0(2(0(1(0(1(x1))))))))))))))))))))))))))))))))))))))))))))) -> 2(1(1(2(1(1(1(0(2(0(1(1(1(2(0(0(2(2(1(2(2(2(2(0(2(0(1(1(0(1(2(2(2(1(1(2(1(1(1(0(0(0(2(0(1(0(x1)))))))))))))))))))))))))))))))))))))))))))))) 2(0(1(1(2(0(0(1(1(1(0(0(0(2(0(0(1(0(0(1(0(0(0(2(1(2(1(0(1(1(1(1(0(0(1(1(0(2(0(2(2(1(0(2(1(1(0(x1))))))))))))))))))))))))))))))))))))))))))))))) -> 2(0(2(0(2(0(2(0(2(0(2(1(2(1(0(0(1(0(0(2(1(2(0(2(0(0(2(1(2(2(1(1(2(2(2(1(2(1(0(0(2(0(0(2(2(2(1(0(2(0(x1)))))))))))))))))))))))))))))))))))))))))))))))))) 2(1(2(0(2(2(0(2(0(0(1(0(1(0(0(1(0(2(2(1(0(2(1(1(0(2(1(1(0(1(2(2(0(0(0(1(2(1(2(0(1(1(1(2(1(1(0(x1))))))))))))))))))))))))))))))))))))))))))))))) -> 0(2(2(0(1(2(1(0(2(0(2(0(0(1(2(2(1(1(2(2(2(0(1(2(0(0(2(2(0(0(0(1(2(2(1(2(2(1(0(2(1(1(1(1(0(1(0(2(0(x1))))))))))))))))))))))))))))))))))))))))))))))))) 2(1(2(2(2(1(1(1(1(1(1(0(1(0(0(2(2(2(0(1(1(1(0(2(1(1(2(1(2(0(0(0(0(2(1(1(0(2(1(1(0(0(0(1(0(0(1(x1))))))))))))))))))))))))))))))))))))))))))))))) -> 0(2(2(2(1(2(1(2(0(1(1(1(1(1(2(2(0(0(0(2(2(2(1(1(0(1(1(0(1(1(1(2(0(0(2(0(1(1(2(2(2(1(0(2(2(2(2(2(0(x1))))))))))))))))))))))))))))))))))))))))))))))))) 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)) Types: 0 :: 1:0:2:encArg:encode_0:encode_1:encode_2 -> 1:0:2:encArg:encode_0:encode_1:encode_2 1 :: 1:0:2:encArg:encode_0:encode_1:encode_2 -> 1:0:2:encArg:encode_0:encode_1:encode_2 2 :: 1:0:2:encArg:encode_0:encode_1:encode_2 -> 1:0:2:encArg:encode_0:encode_1:encode_2 encArg :: cons_0:cons_2:cons_1 -> 1:0:2:encArg:encode_0:encode_1:encode_2 cons_0 :: cons_0:cons_2:cons_1 -> cons_0:cons_2:cons_1 cons_2 :: cons_0:cons_2:cons_1 -> cons_0:cons_2:cons_1 cons_1 :: cons_0:cons_2:cons_1 -> cons_0:cons_2:cons_1 encode_0 :: cons_0:cons_2:cons_1 -> 1:0:2:encArg:encode_0:encode_1:encode_2 encode_1 :: cons_0:cons_2:cons_1 -> 1:0:2:encArg:encode_0:encode_1:encode_2 encode_2 :: cons_0:cons_2:cons_1 -> 1:0:2:encArg:encode_0:encode_1:encode_2 hole_1:0:2:encArg:encode_0:encode_1:encode_21_3 :: 1:0:2:encArg:encode_0:encode_1:encode_2 hole_cons_0:cons_2:cons_12_3 :: cons_0:cons_2:cons_1 gen_cons_0:cons_2:cons_13_3 :: Nat -> cons_0:cons_2:cons_1 Generator Equations: gen_cons_0:cons_2:cons_13_3(0) <=> hole_cons_0:cons_2:cons_12_3 gen_cons_0:cons_2:cons_13_3(+(x, 1)) <=> cons_0(gen_cons_0:cons_2:cons_13_3(x)) The following defined symbols remain to be analysed: 2, 0, 1, encArg They will be analysed ascendingly in the following order: 0 = 2 0 = 1 0 < encArg 2 = 1 2 < encArg 1 < encArg ---------------------------------------- (13) RelTrsToTrsProof (UPPER BOUND(ID)) transformed relative TRS to TRS ---------------------------------------- (14) Obligation: The Runtime Complexity (innermost) of the given CpxTRS could be proven to be BOUNDS(1, INF). The TRS R consists of the following rules: 0(0(1(1(0(0(0(1(x1)))))))) -> 0(2(0(1(0(1(1(1(1(x1))))))))) 2(2(0(0(2(1(0(1(x1)))))))) -> 1(2(2(0(0(1(2(0(x1)))))))) 1(2(1(0(0(1(2(1(1(x1))))))))) -> 1(0(2(0(1(1(2(1(1(x1))))))))) 0(1(2(1(1(1(0(2(0(2(x1)))))))))) -> 0(2(0(2(0(2(0(2(0(1(2(x1))))))))))) 1(0(2(1(0(0(1(0(1(2(x1)))))))))) -> 1(2(0(0(1(1(0(0(1(2(x1)))))))))) 1(1(0(1(2(2(2(2(0(2(1(1(x1)))))))))))) -> 1(1(0(1(2(2(0(2(0(1(2(2(2(x1))))))))))))) 2(1(2(0(0(0(0(1(2(0(1(1(1(x1))))))))))))) -> 0(0(2(0(2(0(0(2(0(0(0(1(1(1(x1)))))))))))))) 0(1(0(1(2(0(0(1(0(0(1(2(1(0(1(0(x1)))))))))))))))) -> 0(1(1(1(1(2(0(2(1(0(0(0(1(0(0(0(x1)))))))))))))))) 0(1(0(1(1(0(1(2(2(1(1(1(0(2(1(1(1(x1))))))))))))))))) -> 0(2(1(1(0(2(2(0(2(2(0(0(2(0(1(2(1(2(x1)))))))))))))))))) 1(2(0(1(0(0(0(1(2(2(1(1(2(0(1(0(1(1(0(x1))))))))))))))))))) -> 2(0(2(1(0(2(2(2(0(0(0(2(2(2(2(0(2(0(2(0(x1)))))))))))))))))))) 2(1(1(1(0(0(1(2(1(0(0(2(1(0(1(1(0(1(1(0(x1)))))))))))))))))))) -> 1(0(2(1(0(2(0(2(2(0(0(2(0(0(0(2(0(1(1(1(2(0(x1)))))))))))))))))))))) 1(0(1(0(2(2(2(2(0(1(1(0(1(2(2(0(2(1(0(1(1(x1))))))))))))))))))))) -> 2(0(0(0(2(2(1(2(0(2(0(1(0(0(2(0(2(0(0(2(1(0(x1)))))))))))))))))))))) 2(2(1(1(0(2(1(1(1(2(1(2(2(2(2(1(2(1(0(2(2(x1))))))))))))))))))))) -> 1(2(1(2(2(0(0(2(0(0(0(2(2(1(0(2(0(0(2(0(2(1(x1)))))))))))))))))))))) 2(1(2(2(0(2(2(0(0(2(1(1(2(2(1(2(2(0(1(0(1(1(x1)))))))))))))))))))))) -> 1(0(1(1(2(1(1(2(1(0(0(0(1(0(0(2(0(0(2(0(1(0(1(x1))))))))))))))))))))))) 0(1(2(0(1(1(1(1(2(2(0(2(2(1(0(0(0(1(0(2(1(1(1(x1))))))))))))))))))))))) -> 0(1(0(0(2(0(1(1(2(2(0(0(1(0(2(0(1(1(1(1(1(2(2(2(x1)))))))))))))))))))))))) 2(2(0(0(0(1(0(2(1(0(1(0(0(0(1(0(2(2(2(1(0(0(0(x1))))))))))))))))))))))) -> 0(0(2(0(0(1(2(0(0(1(1(0(2(0(2(2(0(1(0(2(1(0(0(x1))))))))))))))))))))))) 0(0(0(2(2(0(2(1(1(0(0(2(2(1(2(0(1(0(1(0(1(1(0(0(x1)))))))))))))))))))))))) -> 0(0(1(0(2(0(0(1(2(2(2(2(2(1(0(1(2(1(2(0(1(1(1(1(1(x1))))))))))))))))))))))))) 1(1(0(1(1(1(1(0(1(0(0(2(1(1(2(0(0(1(1(0(2(0(0(0(x1)))))))))))))))))))))))) -> 2(0(0(2(1(0(2(2(2(0(0(2(2(2(2(0(0(0(2(0(1(2(0(0(0(x1))))))))))))))))))))))))) 2(1(0(0(1(1(0(2(2(0(1(0(0(1(2(0(2(1(2(0(1(0(0(0(x1)))))))))))))))))))))))) -> 2(1(1(0(1(2(0(0(2(0(2(0(2(1(0(1(2(0(1(0(2(1(1(2(0(0(x1)))))))))))))))))))))))))) 2(2(2(1(0(0(2(0(1(0(2(1(0(2(1(0(0(1(1(0(0(0(2(0(2(x1))))))))))))))))))))))))) -> 1(0(2(0(1(0(1(0(2(0(1(1(1(2(1(0(2(0(2(0(2(2(0(0(2(0(2(x1))))))))))))))))))))))))))) 1(0(0(1(2(0(0(0(1(1(1(1(2(2(2(2(2(1(1(2(1(0(1(0(1(0(x1)))))))))))))))))))))))))) -> 1(0(1(0(2(2(0(2(0(1(1(2(2(1(2(2(2(2(0(0(1(1(0(1(0(2(0(x1))))))))))))))))))))))))))) 0(1(0(0(2(2(0(1(0(1(2(1(2(2(2(1(0(1(2(1(0(1(1(1(2(0(2(1(x1)))))))))))))))))))))))))))) -> 0(0(2(0(0(2(2(0(0(1(1(2(1(1(1(2(0(0(1(1(2(0(2(0(2(2(1(2(2(x1))))))))))))))))))))))))))))) 1(2(1(0(0(1(1(0(1(0(2(1(2(0(2(0(1(1(2(1(2(0(1(1(0(0(0(1(x1)))))))))))))))))))))))))))) -> 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1(0(2(0(1(1(2(0(2(1(0(0(1(2(2(0(1(1(2(0(2(2(1(2(2(2(2(1(1(1(2(x1))))))))))))))))))))))))))))))) 1(2(1(1(1(2(1(0(2(2(0(1(2(0(0(1(0(0(2(1(2(1(2(1(0(1(0(2(1(0(x1)))))))))))))))))))))))))))))) -> 1(0(1(0(0(0(2(0(1(1(1(2(2(2(2(1(0(2(0(2(2(1(1(0(1(2(2(1(1(1(0(x1))))))))))))))))))))))))))))))) 2(2(0(1(2(1(2(1(0(2(1(1(0(0(1(0(1(2(1(1(0(1(0(2(1(1(2(0(0(0(x1)))))))))))))))))))))))))))))) -> 1(0(0(1(0(0(2(1(2(2(1(0(2(1(2(2(1(0(1(1(2(1(0(2(0(1(2(2(0(2(0(x1))))))))))))))))))))))))))))))) 0(1(0(0(2(1(0(1(1(1(1(1(0(1(0(1(0(2(2(0(2(2(1(2(2(2(1(0(0(2(2(x1))))))))))))))))))))))))))))))) -> 0(0(2(1(1(2(0(1(2(2(2(0(2(1(2(2(0(2(1(0(0(1(2(0(0(2(0(1(0(2(0(2(x1)))))))))))))))))))))))))))))))) 0(0(1(1(1(1(2(2(0(0(2(1(2(2(1(0(2(1(0(0(1(1(0(2(0(2(2(2(2(0(2(1(x1)))))))))))))))))))))))))))))))) -> 0(0(1(1(1(2(1(2(2(0(0(1(2(2(1(2(2(1(2(0(1(0(2(0(0(2(0(2(1(0(2(1(x1)))))))))))))))))))))))))))))))) 1(2(2(2(1(0(0(2(0(0(1(1(1(2(1(1(1(2(2(1(2(0(2(1(0(1(2(1(1(1(2(2(x1)))))))))))))))))))))))))))))))) -> 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2(2(2(2(0(2(2(2(2(0(1(2(1(1(0(2(1(1(2(1(0(1(0(1(0(0(0(0(2(0(0(1(2(1(2(1(1(0(0(1(2(0(1(x1))))))))))))))))))))))))))))))))))))))))))) -> 2(0(1(2(1(2(0(2(0(1(2(0(1(1(0(2(2(0(0(1(1(2(2(1(1(1(2(1(2(2(0(2(2(1(0(1(1(1(1(1(0(1(2(0(x1)))))))))))))))))))))))))))))))))))))))))))) 1(2(1(1(0(2(2(0(1(2(2(0(2(0(0(1(1(0(1(2(2(2(0(2(2(0(0(0(0(1(1(0(1(0(0(0(1(2(1(2(2(2(0(0(x1)))))))))))))))))))))))))))))))))))))))))))) -> 1(1(2(1(0(2(0(2(2(2(1(1(1(1(0(2(1(1(2(1(0(0(2(1(0(0(2(0(2(1(2(2(1(0(1(1(2(0(1(0(2(2(2(0(0(x1))))))))))))))))))))))))))))))))))))))))))))) 0(2(1(2(0(2(1(1(2(2(0(2(1(2(2(0(0(0(1(1(1(0(2(2(2(2(2(2(2(2(2(1(1(1(2(1(0(1(1(0(0(0(2(0(0(x1))))))))))))))))))))))))))))))))))))))))))))) -> 0(2(2(0(2(2(2(0(0(2(2(1(0(1(0(0(2(2(1(1(0(2(2(0(2(2(2(0(1(2(0(0(2(0(2(0(2(1(1(2(2(1(2(1(1(0(x1)))))))))))))))))))))))))))))))))))))))))))))) 2(2(1(0(0(2(1(2(0(0(0(2(1(0(2(0(2(1(2(2(2(0(1(2(2(0(0(0(1(0(2(2(2(1(0(1(2(1(0(0(2(0(1(0(1(x1))))))))))))))))))))))))))))))))))))))))))))) -> 2(1(1(2(1(1(1(0(2(0(1(1(1(2(0(0(2(2(1(2(2(2(2(0(2(0(1(1(0(1(2(2(2(1(1(2(1(1(1(0(0(0(2(0(1(0(x1)))))))))))))))))))))))))))))))))))))))))))))) 2(0(1(1(2(0(0(1(1(1(0(0(0(2(0(0(1(0(0(1(0(0(0(2(1(2(1(0(1(1(1(1(0(0(1(1(0(2(0(2(2(1(0(2(1(1(0(x1))))))))))))))))))))))))))))))))))))))))))))))) -> 2(0(2(0(2(0(2(0(2(0(2(1(2(1(0(0(1(0(0(2(1(2(0(2(0(0(2(1(2(2(1(1(2(2(2(1(2(1(0(0(2(0(0(2(2(2(1(0(2(0(x1)))))))))))))))))))))))))))))))))))))))))))))))))) 2(1(2(0(2(2(0(2(0(0(1(0(1(0(0(1(0(2(2(1(0(2(1(1(0(2(1(1(0(1(2(2(0(0(0(1(2(1(2(0(1(1(1(2(1(1(0(x1))))))))))))))))))))))))))))))))))))))))))))))) -> 0(2(2(0(1(2(1(0(2(0(2(0(0(1(2(2(1(1(2(2(2(0(1(2(0(0(2(2(0(0(0(1(2(2(1(2(2(1(0(2(1(1(1(1(0(1(0(2(0(x1))))))))))))))))))))))))))))))))))))))))))))))))) 2(1(2(2(2(1(1(1(1(1(1(0(1(0(0(2(2(2(0(1(1(1(0(2(1(1(2(1(2(0(0(0(0(2(1(1(0(2(1(1(0(0(0(1(0(0(1(x1))))))))))))))))))))))))))))))))))))))))))))))) -> 0(2(2(2(1(2(1(2(0(1(1(1(1(1(2(2(0(0(0(2(2(2(1(1(0(1(1(0(1(1(1(2(0(0(2(0(1(1(2(2(2(1(0(2(2(2(2(2(0(x1))))))))))))))))))))))))))))))))))))))))))))))))) 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)) S is empty. Rewrite Strategy: INNERMOST ---------------------------------------- (15) NonCtorToCtorProof (UPPER BOUND(ID)) transformed non-ctor to ctor-system ---------------------------------------- (16) Obligation: The Runtime Complexity (innermost) of the given CpxRelTRS could be proven to be BOUNDS(1, INF). The TRS R consists of the following rules: 0(c_1(c_0(c_1(c_1(c_0(c_1(c_2(c_2(c_1(c_1(c_1(c_0(c_2(c_1(c_1(c_1(x1))))))))))))))))) -> 0(2(1(1(0(2(2(0(2(2(0(0(2(0(1(2(1(2(x1)))))))))))))))))) 2(c_1(c_1(c_0(c_0(c_0(c_1(c_1(c_2(c_2(c_1(c_2(c_1(c_2(c_1(c_2(c_2(c_0(c_1(c_0(c_0(c_0(c_1(c_2(c_0(c_0(c_1(c_1(c_2(x1))))))))))))))))))))))))))))) -> 0(2(1(2(2(0(1(0(1(2(0(0(1(1(1(0(1(1(1(1(2(0(2(2(0(2(1(0(2(x1))))))))))))))))))))))))))))) 2(c_1(c_0(c_0(c_1(c_0(c_0(c_1(c_2(c_2(c_0(c_2(c_2(c_1(c_0(c_0(c_0(c_2(c_2(c_1(c_1(c_2(c_0(c_1(c_2(c_0(c_0(c_1(c_2(c_0(c_2(c_1(c_0(c_2(c_2(c_0(c_1(c_1(c_1(x1))))))))))))))))))))))))))))))))))))))) -> 2(1(2(0(0(1(2(0(1(2(0(0(0(2(2(0(2(0(1(0(0(0(2(0(0(2(2(0(2(2(2(0(0(2(0(1(0(2(0(1(0(x1))))))))))))))))))))))))))))))))))))))))) 0(c_0(c_2(c_0(c_2(c_1(c_1(c_2(c_0(c_2(c_1(c_1(c_2(c_0(c_1(c_0(c_1(c_2(c_1(c_1(c_1(c_0(c_0(c_0(c_0(c_2(c_2(c_1(c_2(c_0(x1)))))))))))))))))))))))))))))) -> 0(0(2(0(1(1(1(0(0(2(1(1(2(0(0(2(2(0(1(1(1(2(0(2(0(2(1(2(1(0(x1)))))))))))))))))))))))))))))) 2(c_2(c_0(c_0(c_2(c_1(c_0(c_1(x1)))))))) -> 1(2(2(0(0(1(2(0(x1)))))))) 1(c_0(c_1(c_0(c_2(c_2(c_2(c_2(c_0(c_1(c_1(c_0(c_1(c_2(c_2(c_0(c_2(c_1(c_0(c_1(c_1(x1))))))))))))))))))))) -> 2(0(0(0(2(2(1(2(0(2(0(1(0(0(2(0(2(0(0(2(1(0(x1)))))))))))))))))))))) 1(c_0(c_0(c_1(c_2(c_0(c_0(c_0(c_1(c_1(c_1(c_1(c_2(c_2(c_2(c_2(c_2(c_1(c_1(c_2(c_1(c_0(c_1(c_0(c_1(c_0(x1)))))))))))))))))))))))))) -> 1(0(1(0(2(2(0(2(0(1(1(2(2(1(2(2(2(2(0(0(1(1(0(1(0(2(0(x1))))))))))))))))))))))))))) 2(c_1(c_2(c_1(c_2(c_2(c_2(c_0(c_2(c_2(c_0(c_2(c_2(c_1(c_2(c_1(c_1(c_0(c_0(c_1(c_0(c_1(c_0(c_2(c_1(c_1(c_0(c_2(c_0(c_0(c_2(c_1(c_1(c_1(x1)))))))))))))))))))))))))))))))))) -> 1(2(2(2(0(2(0(2(1(2(0(0(0(1(1(0(1(2(0(0(0(2(0(0(0(1(0(2(2(2(2(1(0(2(2(x1))))))))))))))))))))))))))))))))))) 2(c_1(c_2(c_1(c_2(c_1(c_2(c_1(c_0(c_1(c_0(c_2(c_2(c_0(c_0(c_1(c_2(c_2(c_1(c_2(c_1(c_0(c_1(c_0(c_2(c_1(c_2(c_2(c_2(c_1(c_1(c_1(c_2(c_0(c_1(c_1(c_0(x1))))))))))))))))))))))))))))))))))))) -> 1(0(1(2(1(2(1(2(2(2(1(0(2(1(0(0(2(0(0(0(2(0(1(0(1(1(2(2(0(1(1(0(2(0(0(2(0(1(0(1(x1)))))))))))))))))))))))))))))))))))))))) 2(c_2(c_0(c_2(c_2(c_1(c_2(c_0(c_2(c_2(c_2(c_1(c_1(c_0(c_2(c_1(c_1(c_1(c_2(c_2(c_0(c_1(c_0(c_1(c_0(c_1(c_0(c_0(c_1(c_2(c_0(c_0(c_2(c_2(c_0(c_0(c_2(c_1(c_1(c_1(c_1(c_2(x1)))))))))))))))))))))))))))))))))))))))))) -> 0(1(2(2(0(2(0(0(0(2(0(2(1(2(0(0(1(0(2(0(0(2(0(1(1(2(1(1(0(2(1(2(1(2(0(0(0(1(2(0(0(1(0(x1))))))))))))))))))))))))))))))))))))))))))) 2(c_1(c_1(c_1(c_2(c_2(c_0(c_2(c_0(c_0(c_0(c_0(c_1(c_1(c_2(c_0(c_2(c_2(c_0(c_0(c_2(c_2(c_2(c_0(c_0(c_2(c_1(c_0(c_2(c_1(c_0(c_2(c_1(c_2(x1)))))))))))))))))))))))))))))))))) -> 1(0(2(0(2(0(0(0(0(2(2(0(0(2(0(0(2(0(2(1(0(0(2(0(1(2(0(0(0(1(2(1(1(2(0(2(x1)))))))))))))))))))))))))))))))))))) 0(c_2(c_0(c_0(c_1(c_0(c_0(c_2(c_2(c_2(c_0(c_1(c_1(c_1(c_1(c_2(c_2(c_0(c_0(c_0(c_0(c_2(c_0(c_1(c_2(c_1(c_0(c_1(c_2(c_1(c_2(c_2(c_2(c_0(c_0(c_0(c_0(c_1(c_0(c_0(x1)))))))))))))))))))))))))))))))))))))))) -> 0(1(0(0(2(0(2(0(0(2(1(0(0(2(2(1(1(2(2(2(1(2(0(1(1(2(0(2(0(2(1(2(0(2(0(1(2(0(2(1(0(0(1(x1))))))))))))))))))))))))))))))))))))))))))) 2(c_1(c_0(c_0(c_1(c_0(c_2(c_2(c_1(c_1(c_1(c_0(c_1(c_2(c_0(c_1(c_0(c_2(c_1(c_0(c_0(c_2(c_2(c_1(c_1(c_1(c_2(c_2(c_0(c_0(c_0(c_0(c_1(c_1(c_2(c_1(c_0(c_1(c_2(c_2(x1)))))))))))))))))))))))))))))))))))))))) -> 2(2(0(0(1(2(0(2(1(2(1(1(1(2(2(1(0(0(1(0(0(2(0(1(2(1(2(1(0(2(0(2(0(1(1(1(0(1(1(0(x1)))))))))))))))))))))))))))))))))))))))) 2(c_1(c_0(c_2(c_1(c_0(c_2(c_2(c_2(c_2(c_0(c_0(c_0(c_1(c_1(c_1(c_2(c_2(c_0(c_2(c_2(c_2(c_0(c_1(c_0(c_2(c_1(c_0(c_1(c_1(c_2(c_2(c_2(c_0(c_0(x1))))))))))))))))))))))))))))))))))) -> 0(2(0(1(2(1(1(0(2(2(0(0(0(0(2(0(1(0(2(1(2(2(0(1(0(1(0(1(2(0(0(2(2(0(1(0(x1)))))))))))))))))))))))))))))))))))) 2(c_1(c_2(c_0(c_1(c_0(c_0(c_1(c_1(c_0(c_2(c_1(c_1(c_0(c_1(c_2(c_1(c_1(c_2(c_1(c_0(c_2(c_2(c_2(c_1(c_1(c_1(c_0(c_1(c_0(c_2(c_0(c_1(c_2(c_1(c_1(c_0(c_2(c_2(c_0(x1)))))))))))))))))))))))))))))))))))))))) -> 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2(c_0(c_1(c_1(c_2(c_0(c_0(c_1(c_1(c_1(c_0(c_0(c_0(c_2(c_0(c_0(c_1(c_0(c_0(c_1(c_0(c_0(c_0(c_2(c_1(c_2(c_1(c_0(c_1(c_1(c_1(c_1(c_0(c_0(c_1(c_1(c_0(c_2(c_0(c_2(c_2(c_1(c_0(c_2(c_1(c_1(c_0(x1))))))))))))))))))))))))))))))))))))))))))))))) -> 2(0(2(0(2(0(2(0(2(0(2(1(2(1(0(0(1(0(0(2(1(2(0(2(0(0(2(1(2(2(1(1(2(2(2(1(2(1(0(0(2(0(0(2(2(2(1(0(2(0(x1)))))))))))))))))))))))))))))))))))))))))))))))))) 1(c_2(c_1(c_2(c_1(c_0(c_2(c_2(c_2(c_1(c_2(c_0(c_0(c_2(c_2(c_0(c_1(c_2(c_1(c_1(c_2(c_1(c_0(c_1(c_2(c_2(c_1(c_2(c_0(c_1(c_2(c_2(c_1(c_2(c_2(c_1(c_1(c_2(c_1(c_0(c_1(c_1(c_1(x1))))))))))))))))))))))))))))))))))))))))))) -> 1(0(0(2(1(0(1(2(2(1(0(1(2(1(0(1(0(1(2(0(2(2(1(0(2(1(2(2(2(0(0(1(2(0(2(0(0(1(1(0(2(1(2(0(1(x1))))))))))))))))))))))))))))))))))))))))))))) 1(c_1(c_0(c_1(c_1(c_1(c_1(c_0(c_1(c_0(c_0(c_2(c_1(c_1(c_2(c_0(c_0(c_1(c_1(c_0(c_2(c_0(c_0(c_0(x1)))))))))))))))))))))))) -> 2(0(0(2(1(0(2(2(2(0(0(2(2(2(2(0(0(0(2(0(1(2(0(0(0(x1))))))))))))))))))))))))) 2(c_1(c_0(c_0(c_1(c_1(c_0(c_2(c_2(c_0(c_1(c_0(c_0(c_1(c_2(c_0(c_2(c_1(c_2(c_0(c_1(c_0(c_0(c_0(x1)))))))))))))))))))))))) -> 2(1(1(0(1(2(0(0(2(0(2(0(2(1(0(1(2(0(1(0(2(1(1(2(0(0(x1)))))))))))))))))))))))))) 1(c_2(c_0(c_0(c_0(c_2(c_0(c_1(c_1(c_2(c_2(c_0(c_0(c_2(c_2(c_0(c_2(c_1(c_1(c_1(c_2(c_1(c_1(c_1(c_0(c_1(c_2(c_1(c_2(c_1(x1)))))))))))))))))))))))))))))) -> 1(0(2(0(1(1(2(0(2(1(0(0(1(2(2(0(1(1(2(0(2(2(1(2(2(2(2(1(1(1(2(x1))))))))))))))))))))))))))))))) 0(c_2(c_2(c_0(c_1(c_2(c_0(c_0(c_0(c_2(c_2(c_2(c_1(c_2(c_2(c_2(c_1(c_0(c_0(c_0(c_2(c_0(c_2(c_1(c_1(c_0(c_2(c_1(c_2(c_0(c_1(c_0(c_2(c_1(c_2(c_0(c_2(c_1(c_0(c_1(c_0(c_1(x1)))))))))))))))))))))))))))))))))))))))))) -> 0(1(1(1(2(0(0(0(0(1(1(2(0(2(0(2(0(0(0(2(2(0(0(0(0(2(2(0(1(1(0(0(1(2(1(2(0(1(2(0(0(2(0(0(0(x1))))))))))))))))))))))))))))))))))))))))))))) 0(c_2(c_1(c_2(c_0(c_1(c_2(c_1(c_1(c_1(c_2(c_0(c_0(c_0(c_0(c_1(c_2(c_1(c_0(c_0(c_2(c_2(c_2(c_0(c_1(c_2(c_0(c_2(c_1(c_1(c_2(c_2(c_1(c_2(c_1(x1))))))))))))))))))))))))))))))))))) -> 0(2(1(2(0(2(0(1(0(1(0(0(1(2(0(2(2(1(0(2(1(2(0(0(1(2(1(2(2(2(1(2(1(1(1(x1))))))))))))))))))))))))))))))))))) 2(c_2(c_0(c_1(c_2(c_1(c_2(c_1(c_0(c_2(c_1(c_1(c_0(c_0(c_1(c_0(c_1(c_2(c_1(c_1(c_0(c_1(c_0(c_2(c_1(c_1(c_2(c_0(c_0(c_0(x1)))))))))))))))))))))))))))))) -> 1(0(0(1(0(0(2(1(2(2(1(0(2(1(2(2(1(0(1(1(2(1(0(2(0(1(2(2(0(2(0(x1))))))))))))))))))))))))))))))) 2(c_1(c_1(c_2(c_0(c_2(c_0(c_2(c_0(c_1(c_1(c_0(c_2(c_2(c_2(c_2(c_1(c_1(c_1(c_0(c_0(c_0(c_1(c_1(c_0(c_0(c_0(c_1(c_2(c_0(c_0(c_0(c_0(c_1(c_0(c_1(c_2(c_1(c_2(c_2(c_0(c_1(x1)))))))))))))))))))))))))))))))))))))))))) -> 2(2(2(0(0(1(2(0(0(2(0(1(1(0(2(0(1(2(0(1(0(0(2(0(2(1(1(0(2(1(0(0(2(2(1(2(2(2(0(1(1(2(0(2(0(x1))))))))))))))))))))))))))))))))))))))))))))) 2(c_1(c_2(c_0(c_2(c_2(c_0(c_2(c_0(c_0(c_1(c_0(c_1(c_0(c_0(c_1(c_0(c_2(c_2(c_1(c_0(c_2(c_1(c_1(c_0(c_2(c_1(c_1(c_0(c_1(c_2(c_2(c_0(c_0(c_0(c_1(c_2(c_1(c_2(c_0(c_1(c_1(c_1(c_2(c_1(c_1(c_0(x1))))))))))))))))))))))))))))))))))))))))))))))) -> 0(2(2(0(1(2(1(0(2(0(2(0(0(1(2(2(1(1(2(2(2(0(1(2(0(0(2(2(0(0(0(1(2(2(1(2(2(1(0(2(1(1(1(1(0(1(0(2(0(x1))))))))))))))))))))))))))))))))))))))))))))))))) 2(c_2(c_2(c_0(c_1(c_1(c_1(c_1(c_1(c_1(c_0(c_2(c_1(c_1(c_0(c_0(c_0(c_1(c_1(c_2(c_2(c_2(c_2(c_2(c_2(c_2(c_2(c_0(c_0(c_1(c_0(c_2(c_0(c_1(x1)))))))))))))))))))))))))))))))))) -> 0(1(0(0(1(0(0(1(2(0(2(0(2(0(2(0(2(2(1(0(2(1(1(1(1(1(1(0(1(0(1(1(0(0(0(x1))))))))))))))))))))))))))))))))))) 2(c_0(c_2(c_2(c_1(c_2(c_1(c_2(c_2(c_2(c_0(c_1(c_0(c_2(c_2(c_1(c_0(c_0(c_0(c_1(c_2(c_0(c_1(c_2(c_1(c_0(c_0(c_2(c_2(c_0(c_2(c_1(c_1(c_1(c_0(c_0(c_1(x1))))))))))))))))))))))))))))))))))))) -> 1(2(2(0(0(0(1(1(0(2(0(2(0(0(2(0(1(1(2(0(2(0(1(2(1(2(1(2(1(0(2(2(2(1(0(1(0(1(0(x1))))))))))))))))))))))))))))))))))))))) 2(c_2(c_2(c_0(c_0(c_2(c_0(c_2(c_1(c_2(c_1(c_2(c_1(c_0(c_1(c_1(c_2(c_1(c_1(c_2(c_0(c_1(c_0(c_1(c_0(c_0(c_1(c_1(c_2(c_1(c_1(c_2(c_2(c_1(c_1(c_1(c_1(c_0(c_1(x1))))))))))))))))))))))))))))))))))))))) -> 1(0(2(1(1(2(1(1(2(0(0(2(2(0(2(0(1(2(1(0(2(0(1(2(1(2(2(2(2(0(2(2(2(1(0(2(0(0(1(1(x1)))))))))))))))))))))))))))))))))))))))) 1(c_1(c_1(c_2(c_0(c_1(c_0(c_1(c_0(c_1(c_1(c_1(c_2(c_1(c_1(c_2(c_1(c_2(c_2(c_1(c_1(c_2(c_1(c_1(c_2(c_1(c_2(c_0(c_0(c_2(c_2(c_2(c_1(c_2(c_0(c_0(c_0(c_0(c_1(c_1(c_0(c_0(x1)))))))))))))))))))))))))))))))))))))))))) -> 1(2(1(0(1(2(0(1(0(2(0(2(2(2(0(1(1(1(1(2(1(0(2(2(1(0(2(2(1(1(0(2(1(2(0(2(0(2(1(0(0(0(0(x1))))))))))))))))))))))))))))))))))))))))))) 0(c_2(c_2(c_2(c_1(c_2(c_0(c_2(c_1(c_0(c_1(c_2(c_2(c_0(c_1(c_1(c_0(c_2(c_0(c_0(c_1(c_2(c_2(c_2(c_0(c_0(c_2(c_0(c_2(c_2(c_1(c_0(c_0(c_1(c_0(c_0(x1)))))))))))))))))))))))))))))))))))) -> 0(0(0(2(0(0(0(2(2(2(0(1(0(2(1(2(2(0(1(2(2(0(0(0(1(0(0(0(2(0(1(1(0(2(0(2(0(x1))))))))))))))))))))))))))))))))))))) 1(c_2(c_1(c_1(c_1(c_2(c_1(c_0(c_2(c_2(c_0(c_1(c_2(c_0(c_0(c_1(c_0(c_0(c_2(c_1(c_2(c_1(c_2(c_1(c_0(c_1(c_0(c_2(c_1(c_0(x1)))))))))))))))))))))))))))))) -> 1(0(1(0(0(0(2(0(1(1(1(2(2(2(2(1(0(2(0(2(2(1(1(0(1(2(2(1(1(1(0(x1))))))))))))))))))))))))))))))) 1(c_0(c_1(c_2(c_0(c_1(c_0(c_2(c_2(c_1(c_2(c_2(c_0(c_0(c_0(c_2(c_1(c_1(c_2(c_0(c_2(c_1(c_1(c_1(c_0(c_1(c_0(c_0(c_0(c_2(c_1(c_1(c_2(c_1(c_0(c_0(x1)))))))))))))))))))))))))))))))))))) -> 1(1(2(1(0(2(1(1(2(0(2(1(1(1(2(2(0(2(1(2(2(1(1(1(0(1(0(2(0(0(0(2(0(2(0(0(1(x1))))))))))))))))))))))))))))))))))))) 0(c_2(c_1(c_1(c_1(c_0(c_2(c_1(c_1(c_0(c_0(c_2(c_1(c_0(c_2(c_1(c_1(c_0(c_2(c_2(c_1(c_0(c_2(c_0(c_1(c_0(c_2(c_1(c_0(c_1(c_1(c_2(c_2(c_1(c_0(c_1(c_2(c_2(c_0(c_0(x1)))))))))))))))))))))))))))))))))))))))) -> 0(2(1(2(2(2(2(1(1(1(1(1(2(0(0(2(0(2(0(0(2(1(1(1(0(2(0(2(2(2(1(1(1(0(0(0(1(2(2(0(2(0(x1)))))))))))))))))))))))))))))))))))))))))) 2(c_2(c_1(c_2(c_1(c_1(c_0(c_0(c_0(c_0(c_1(c_2(c_1(c_1(c_1(c_0(c_0(c_1(c_1(c_0(c_0(c_2(c_0(c_1(c_1(c_1(c_0(c_2(c_2(c_1(c_2(c_0(c_0(c_1(c_0(c_0(c_1(x1))))))))))))))))))))))))))))))))))))) -> 2(0(1(2(0(2(0(1(1(0(0(1(0(1(0(2(0(1(0(2(2(2(1(2(1(0(2(0(2(0(0(2(0(1(1(1(2(0(0(2(1(0(x1)))))))))))))))))))))))))))))))))))))))))) 2(c_1(c_2(c_0(c_0(c_2(c_1(c_0(c_1(c_2(c_1(c_2(c_0(c_0(c_0(c_0(c_1(c_1(c_1(c_0(c_2(c_0(c_1(c_0(c_2(c_1(c_2(c_1(c_2(c_0(c_2(c_1(c_1(c_1(c_1(c_0(c_1(c_0(c_0(c_1(c_1(c_0(x1)))))))))))))))))))))))))))))))))))))))))) -> 2(2(1(1(1(1(2(2(0(2(1(1(1(2(2(1(0(1(0(1(2(0(2(2(2(1(1(2(0(1(2(0(1(0(0(2(1(0(2(0(1(0(1(x1))))))))))))))))))))))))))))))))))))))))))) 0(c_0(c_0(c_2(c_2(c_0(c_2(c_1(c_1(c_0(c_0(c_2(c_2(c_1(c_2(c_0(c_1(c_0(c_1(c_0(c_1(c_1(c_0(c_0(x1)))))))))))))))))))))))) -> 0(0(1(0(2(0(0(1(2(2(2(2(2(1(0(1(2(1(2(0(1(1(1(1(1(x1))))))))))))))))))))))))) 0(c_1(c_1(c_1(c_0(c_1(c_0(c_0(c_2(c_1(c_0(c_0(c_1(c_0(c_0(c_0(c_0(c_1(c_1(c_2(c_1(c_1(c_1(c_0(c_0(c_0(c_1(c_2(c_0(c_2(c_2(c_2(c_2(c_0(c_2(c_0(c_0(x1))))))))))))))))))))))))))))))))))))) -> 0(0(2(0(1(2(0(0(1(2(0(2(1(1(0(2(1(2(2(2(2(2(0(0(1(0(1(1(2(0(0(1(1(1(1(1(2(0(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)) 0(x0) -> c_0(x0) 1(x0) -> c_1(x0) 2(x0) -> c_2(x0) Rewrite Strategy: INNERMOST ---------------------------------------- (17) RelTrsToWeightedTrsProof (BOTH BOUNDS(ID, ID)) Transformed relative TRS to weighted TRS ---------------------------------------- (18) Obligation: The Runtime Complexity (innermost) of the given CpxWeightedTrs could be proven to be BOUNDS(1, INF). The TRS R consists of the following rules: 0(c_1(c_0(c_1(c_1(c_0(c_1(c_2(c_2(c_1(c_1(c_1(c_0(c_2(c_1(c_1(c_1(x1))))))))))))))))) -> 0(2(1(1(0(2(2(0(2(2(0(0(2(0(1(2(1(2(x1)))))))))))))))))) [1] 2(c_1(c_1(c_0(c_0(c_0(c_1(c_1(c_2(c_2(c_1(c_2(c_1(c_2(c_1(c_2(c_2(c_0(c_1(c_0(c_0(c_0(c_1(c_2(c_0(c_0(c_1(c_1(c_2(x1))))))))))))))))))))))))))))) -> 0(2(1(2(2(0(1(0(1(2(0(0(1(1(1(0(1(1(1(1(2(0(2(2(0(2(1(0(2(x1))))))))))))))))))))))))))))) [1] 2(c_1(c_0(c_0(c_1(c_0(c_0(c_1(c_2(c_2(c_0(c_2(c_2(c_1(c_0(c_0(c_0(c_2(c_2(c_1(c_1(c_2(c_0(c_1(c_2(c_0(c_0(c_1(c_2(c_0(c_2(c_1(c_0(c_2(c_2(c_0(c_1(c_1(c_1(x1))))))))))))))))))))))))))))))))))))))) -> 2(1(2(0(0(1(2(0(1(2(0(0(0(2(2(0(2(0(1(0(0(0(2(0(0(2(2(0(2(2(2(0(0(2(0(1(0(2(0(1(0(x1))))))))))))))))))))))))))))))))))))))))) [1] 0(c_0(c_2(c_0(c_2(c_1(c_1(c_2(c_0(c_2(c_1(c_1(c_2(c_0(c_1(c_0(c_1(c_2(c_1(c_1(c_1(c_0(c_0(c_0(c_0(c_2(c_2(c_1(c_2(c_0(x1)))))))))))))))))))))))))))))) -> 0(0(2(0(1(1(1(0(0(2(1(1(2(0(0(2(2(0(1(1(1(2(0(2(0(2(1(2(1(0(x1)))))))))))))))))))))))))))))) [1] 2(c_2(c_0(c_0(c_2(c_1(c_0(c_1(x1)))))))) -> 1(2(2(0(0(1(2(0(x1)))))))) [1] 1(c_0(c_1(c_0(c_2(c_2(c_2(c_2(c_0(c_1(c_1(c_0(c_1(c_2(c_2(c_0(c_2(c_1(c_0(c_1(c_1(x1))))))))))))))))))))) -> 2(0(0(0(2(2(1(2(0(2(0(1(0(0(2(0(2(0(0(2(1(0(x1)))))))))))))))))))))) [1] 1(c_0(c_0(c_1(c_2(c_0(c_0(c_0(c_1(c_1(c_1(c_1(c_2(c_2(c_2(c_2(c_2(c_1(c_1(c_2(c_1(c_0(c_1(c_0(c_1(c_0(x1)))))))))))))))))))))))))) -> 1(0(1(0(2(2(0(2(0(1(1(2(2(1(2(2(2(2(0(0(1(1(0(1(0(2(0(x1))))))))))))))))))))))))))) [1] 2(c_1(c_2(c_1(c_2(c_2(c_2(c_0(c_2(c_2(c_0(c_2(c_2(c_1(c_2(c_1(c_1(c_0(c_0(c_1(c_0(c_1(c_0(c_2(c_1(c_1(c_0(c_2(c_0(c_0(c_2(c_1(c_1(c_1(x1)))))))))))))))))))))))))))))))))) -> 1(2(2(2(0(2(0(2(1(2(0(0(0(1(1(0(1(2(0(0(0(2(0(0(0(1(0(2(2(2(2(1(0(2(2(x1))))))))))))))))))))))))))))))))))) [1] 2(c_1(c_2(c_1(c_2(c_1(c_2(c_1(c_0(c_1(c_0(c_2(c_2(c_0(c_0(c_1(c_2(c_2(c_1(c_2(c_1(c_0(c_1(c_0(c_2(c_1(c_2(c_2(c_2(c_1(c_1(c_1(c_2(c_0(c_1(c_1(c_0(x1))))))))))))))))))))))))))))))))))))) -> 1(0(1(2(1(2(1(2(2(2(1(0(2(1(0(0(2(0(0(0(2(0(1(0(1(1(2(2(0(1(1(0(2(0(0(2(0(1(0(1(x1)))))))))))))))))))))))))))))))))))))))) [1] 2(c_2(c_0(c_2(c_2(c_1(c_2(c_0(c_2(c_2(c_2(c_1(c_1(c_0(c_2(c_1(c_1(c_1(c_2(c_2(c_0(c_1(c_0(c_1(c_0(c_1(c_0(c_0(c_1(c_2(c_0(c_0(c_2(c_2(c_0(c_0(c_2(c_1(c_1(c_1(c_1(c_2(x1)))))))))))))))))))))))))))))))))))))))))) -> 0(1(2(2(0(2(0(0(0(2(0(2(1(2(0(0(1(0(2(0(0(2(0(1(1(2(1(1(0(2(1(2(1(2(0(0(0(1(2(0(0(1(0(x1))))))))))))))))))))))))))))))))))))))))))) [1] 2(c_1(c_1(c_1(c_2(c_2(c_0(c_2(c_0(c_0(c_0(c_0(c_1(c_1(c_2(c_0(c_2(c_2(c_0(c_0(c_2(c_2(c_2(c_0(c_0(c_2(c_1(c_0(c_2(c_1(c_0(c_2(c_1(c_2(x1)))))))))))))))))))))))))))))))))) -> 1(0(2(0(2(0(0(0(0(2(2(0(0(2(0(0(2(0(2(1(0(0(2(0(1(2(0(0(0(1(2(1(1(2(0(2(x1)))))))))))))))))))))))))))))))))))) [1] 0(c_2(c_0(c_0(c_1(c_0(c_0(c_2(c_2(c_2(c_0(c_1(c_1(c_1(c_1(c_2(c_2(c_0(c_0(c_0(c_0(c_2(c_0(c_1(c_2(c_1(c_0(c_1(c_2(c_1(c_2(c_2(c_2(c_0(c_0(c_0(c_0(c_1(c_0(c_0(x1)))))))))))))))))))))))))))))))))))))))) -> 0(1(0(0(2(0(2(0(0(2(1(0(0(2(2(1(1(2(2(2(1(2(0(1(1(2(0(2(0(2(1(2(0(2(0(1(2(0(2(1(0(0(1(x1))))))))))))))))))))))))))))))))))))))))))) [1] 2(c_1(c_0(c_0(c_1(c_0(c_2(c_2(c_1(c_1(c_1(c_0(c_1(c_2(c_0(c_1(c_0(c_2(c_1(c_0(c_0(c_2(c_2(c_1(c_1(c_1(c_2(c_2(c_0(c_0(c_0(c_0(c_1(c_1(c_2(c_1(c_0(c_1(c_2(c_2(x1)))))))))))))))))))))))))))))))))))))))) -> 2(2(0(0(1(2(0(2(1(2(1(1(1(2(2(1(0(0(1(0(0(2(0(1(2(1(2(1(0(2(0(2(0(1(1(1(0(1(1(0(x1)))))))))))))))))))))))))))))))))))))))) [1] 2(c_1(c_0(c_2(c_1(c_0(c_2(c_2(c_2(c_2(c_0(c_0(c_0(c_1(c_1(c_1(c_2(c_2(c_0(c_2(c_2(c_2(c_0(c_1(c_0(c_2(c_1(c_0(c_1(c_1(c_2(c_2(c_2(c_0(c_0(x1))))))))))))))))))))))))))))))))))) -> 0(2(0(1(2(1(1(0(2(2(0(0(0(0(2(0(1(0(2(1(2(2(0(1(0(1(0(1(2(0(0(2(2(0(1(0(x1)))))))))))))))))))))))))))))))))))) [1] 2(c_1(c_2(c_0(c_1(c_0(c_0(c_1(c_1(c_0(c_2(c_1(c_1(c_0(c_1(c_2(c_1(c_1(c_2(c_1(c_0(c_2(c_2(c_2(c_1(c_1(c_1(c_0(c_1(c_0(c_2(c_0(c_1(c_2(c_1(c_1(c_0(c_2(c_2(c_0(x1)))))))))))))))))))))))))))))))))))))))) -> 2(0(0(2(0(0(1(2(2(2(2(2(1(2(0(2(0(1(2(1(0(0(1(1(0(1(1(1(2(0(2(0(2(1(0(1(2(0(1(2(0(1(x1)))))))))))))))))))))))))))))))))))))))))) [1] 1(c_0(c_2(c_1(c_0(c_0(c_1(c_0(c_1(c_2(x1)))))))))) -> 1(2(0(0(1(1(0(0(1(2(x1)))))))))) [1] 2(c_1(c_1(c_1(c_0(c_1(c_0(c_0(c_1(c_0(c_1(c_1(c_0(c_1(c_0(c_2(c_0(c_0(c_0(c_1(c_1(c_1(c_2(c_2(c_0(c_1(c_2(c_2(x1)))))))))))))))))))))))))))) -> 2(0(0(1(2(1(1(2(0(2(0(1(1(1(1(2(0(1(2(1(2(2(2(2(2(2(0(2(2(x1))))))))))))))))))))))))))))) [1] 2(c_2(c_2(c_1(c_0(c_0(c_1(c_0(c_0(c_1(c_2(c_1(c_1(c_2(c_1(c_2(c_0(c_1(c_1(c_0(c_1(c_2(c_0(c_1(c_2(c_2(c_1(c_0(c_1(c_0(c_0(c_1(c_2(c_1(c_1(x1))))))))))))))))))))))))))))))))))) -> 0(0(2(0(0(0(1(2(1(2(0(1(1(0(2(0(1(0(1(2(0(0(1(1(2(0(0(1(1(0(2(2(0(2(2(1(1(x1))))))))))))))))))))))))))))))))))))) [1] 1(c_1(c_1(c_0(c_1(c_2(c_2(c_2(c_2(c_0(c_1(c_0(c_2(c_2(c_0(c_0(c_0(c_1(c_2(c_0(c_0(c_0(c_2(c_2(c_1(c_0(c_0(c_0(c_0(c_1(c_1(c_0(c_0(c_0(c_1(x1))))))))))))))))))))))))))))))))))) -> 1(1(1(1(2(0(1(1(1(0(1(0(2(0(0(1(1(2(1(0(2(2(0(0(0(0(1(2(0(1(0(0(2(0(1(2(0(x1))))))))))))))))))))))))))))))))))))) [1] 0(c_1(c_0(c_0(c_2(c_2(c_0(c_1(c_0(c_1(c_2(c_1(c_2(c_2(c_2(c_1(c_0(c_1(c_2(c_1(c_0(c_1(c_1(c_1(c_2(c_0(c_2(c_1(x1)))))))))))))))))))))))))))) -> 0(0(2(0(0(2(2(0(0(1(1(2(1(1(1(2(0(0(1(1(2(0(2(0(2(2(1(2(2(x1))))))))))))))))))))))))))))) [1] 1(c_2(c_2(c_2(c_1(c_0(c_0(c_2(c_0(c_0(c_1(c_1(c_1(c_2(c_1(c_1(c_1(c_2(c_2(c_1(c_2(c_0(c_2(c_1(c_0(c_1(c_2(c_1(c_1(c_1(c_2(c_2(x1)))))))))))))))))))))))))))))))) -> 1(1(1(2(1(0(2(1(0(2(1(1(2(2(1(2(1(1(1(2(1(0(2(0(0(2(0(2(2(1(1(2(x1)))))))))))))))))))))))))))))))) [1] 1(c_1(c_2(c_1(c_0(c_2(c_2(c_1(c_2(c_2(c_2(c_0(c_1(c_1(c_0(c_0(c_2(c_1(c_0(c_1(c_2(c_2(c_2(c_1(c_1(c_1(c_2(c_0(c_0(c_0(c_1(c_1(c_0(c_1(c_1(c_1(c_2(c_0(x1)))))))))))))))))))))))))))))))))))))) -> 2(0(0(2(0(2(1(0(0(1(0(0(0(1(1(1(0(2(1(0(1(2(0(0(1(1(2(2(1(0(0(2(0(0(1(2(1(0(1(x1))))))))))))))))))))))))))))))))))))))) [1] 2(c_2(c_1(c_0(c_0(c_2(c_1(c_2(c_0(c_0(c_0(c_2(c_1(c_0(c_2(c_0(c_2(c_1(c_2(c_2(c_2(c_0(c_1(c_2(c_2(c_0(c_0(c_0(c_1(c_0(c_2(c_2(c_2(c_1(c_0(c_1(c_2(c_1(c_0(c_0(c_2(c_0(c_1(c_0(c_1(x1))))))))))))))))))))))))))))))))))))))))))))) -> 2(1(1(2(1(1(1(0(2(0(1(1(1(2(0(0(2(2(1(2(2(2(2(0(2(0(1(1(0(1(2(2(2(1(1(2(1(1(1(0(0(0(2(0(1(0(x1)))))))))))))))))))))))))))))))))))))))))))))) [1] 1(c_2(c_0(c_1(c_0(c_0(c_0(c_1(c_2(c_2(c_1(c_1(c_2(c_0(c_1(c_0(c_1(c_1(c_0(x1))))))))))))))))))) -> 2(0(2(1(0(2(2(2(0(0(0(2(2(2(2(0(2(0(2(0(x1)))))))))))))))))))) [1] 0(c_0(c_1(c_1(c_0(c_0(c_0(c_1(x1)))))))) -> 0(2(0(1(0(1(1(1(1(x1))))))))) [1] 0(c_0(c_1(c_1(c_1(c_1(c_2(c_2(c_0(c_0(c_2(c_1(c_2(c_2(c_1(c_0(c_2(c_1(c_0(c_0(c_1(c_1(c_0(c_2(c_0(c_2(c_2(c_2(c_2(c_0(c_2(c_1(x1)))))))))))))))))))))))))))))))) -> 0(0(1(1(1(2(1(2(2(0(0(1(2(2(1(2(2(1(2(0(1(0(2(0(0(2(0(2(1(0(2(1(x1)))))))))))))))))))))))))))))))) [1] 1(c_1(c_0(c_1(c_2(c_2(c_2(c_2(c_0(c_2(c_1(c_1(x1)))))))))))) -> 1(1(0(1(2(2(0(2(0(1(2(2(2(x1))))))))))))) [1] 2(c_2(c_2(c_0(c_2(c_1(c_2(c_1(c_0(c_0(c_0(c_0(c_1(c_2(c_2(c_1(c_0(c_2(c_2(c_1(c_1(c_0(c_0(c_0(c_2(c_0(c_0(c_0(c_1(c_0(c_2(c_1(c_2(c_2(c_1(c_1(c_0(c_2(c_1(x1))))))))))))))))))))))))))))))))))))))) -> 1(2(0(1(1(2(0(2(2(0(2(1(0(2(0(2(0(1(1(0(1(2(2(1(0(1(0(0(0(2(0(2(2(1(0(0(0(1(0(1(x1)))))))))))))))))))))))))))))))))))))))) [1] 2(c_2(c_2(c_2(c_0(c_2(c_2(c_2(c_2(c_0(c_1(c_2(c_1(c_1(c_0(c_2(c_1(c_1(c_2(c_1(c_0(c_1(c_0(c_1(c_0(c_0(c_0(c_0(c_2(c_0(c_0(c_1(c_2(c_1(c_2(c_1(c_1(c_0(c_0(c_1(c_2(c_0(c_1(x1))))))))))))))))))))))))))))))))))))))))))) -> 2(0(1(2(1(2(0(2(0(1(2(0(1(1(0(2(2(0(0(1(1(2(2(1(1(1(2(1(2(2(0(2(2(1(0(1(1(1(1(1(0(1(2(0(x1)))))))))))))))))))))))))))))))))))))))))))) [1] 2(c_1(c_2(c_2(c_2(c_1(c_1(c_1(c_1(c_1(c_1(c_0(c_1(c_0(c_0(c_2(c_2(c_2(c_0(c_1(c_1(c_1(c_0(c_2(c_1(c_1(c_2(c_1(c_2(c_0(c_0(c_0(c_0(c_2(c_1(c_1(c_0(c_2(c_1(c_1(c_0(c_0(c_0(c_1(c_0(c_0(c_1(x1))))))))))))))))))))))))))))))))))))))))))))))) -> 0(2(2(2(1(2(1(2(0(1(1(1(1(1(2(2(0(0(0(2(2(2(1(1(0(1(1(0(1(1(1(2(0(0(2(0(1(1(2(2(2(1(0(2(2(2(2(2(0(x1))))))))))))))))))))))))))))))))))))))))))))))))) [1] 0(c_1(c_2(c_1(c_1(c_1(c_0(c_2(c_0(c_2(x1)))))))))) -> 0(2(0(2(0(2(0(2(0(1(2(x1))))))))))) [1] 1(c_2(c_2(c_0(c_1(c_2(c_2(c_2(c_0(c_1(c_1(c_1(c_2(c_1(c_1(c_0(c_0(c_1(c_2(c_1(c_2(c_2(c_2(c_1(c_0(c_0(c_0(c_0(c_1(c_1(c_2(c_1(c_0(c_0(c_1(c_0(c_2(c_1(c_1(x1))))))))))))))))))))))))))))))))))))))) -> 1(2(2(1(2(1(1(1(1(1(2(2(1(1(1(0(2(2(2(0(2(0(0(2(2(0(0(0(2(0(2(0(2(2(2(1(0(2(0(2(2(x1))))))))))))))))))))))))))))))))))))))))) [1] 0(c_1(c_0(c_0(c_2(c_1(c_0(c_1(c_1(c_1(c_1(c_1(c_0(c_1(c_0(c_1(c_0(c_2(c_2(c_0(c_2(c_2(c_1(c_2(c_2(c_2(c_1(c_0(c_0(c_2(c_2(x1))))))))))))))))))))))))))))))) -> 0(0(2(1(1(2(0(1(2(2(2(0(2(1(2(2(0(2(1(0(0(1(2(0(0(2(0(1(0(2(0(2(x1)))))))))))))))))))))))))))))))) [1] 2(c_1(c_2(c_2(c_0(c_2(c_2(c_0(c_0(c_2(c_1(c_1(c_2(c_2(c_1(c_2(c_2(c_0(c_1(c_0(c_1(c_1(x1)))))))))))))))))))))) -> 1(0(1(1(2(1(1(2(1(0(0(0(1(0(0(2(0(0(2(0(1(0(1(x1))))))))))))))))))))))) [1] 2(c_2(c_1(c_1(c_0(c_2(c_1(c_1(c_1(c_2(c_1(c_2(c_2(c_2(c_2(c_1(c_2(c_1(c_0(c_2(c_2(x1))))))))))))))))))))) -> 1(2(1(2(2(0(0(2(0(0(0(2(2(1(0(2(0(0(2(0(2(1(x1)))))))))))))))))))))) [1] 1(c_1(c_2(c_1(c_1(c_0(c_2(c_0(c_2(c_0(c_0(c_0(c_1(c_0(c_1(c_1(c_1(c_1(c_2(c_2(c_1(c_1(c_0(c_2(c_2(c_2(c_0(c_2(c_1(c_0(c_1(c_2(c_0(c_0(c_0(x1))))))))))))))))))))))))))))))))))) -> 1(0(2(0(1(0(2(0(1(1(0(0(0(1(2(0(1(1(1(0(2(0(2(0(0(2(0(2(2(1(2(0(2(2(0(1(0(x1))))))))))))))))))))))))))))))))))))) [1] 2(c_1(c_1(c_1(c_0(c_0(c_1(c_2(c_1(c_0(c_0(c_2(c_1(c_0(c_1(c_1(c_0(c_1(c_1(c_0(x1)))))))))))))))))))) -> 1(0(2(1(0(2(0(2(2(0(0(2(0(0(0(2(0(1(1(1(2(0(x1)))))))))))))))))))))) [1] 2(c_1(c_0(c_1(c_2(c_2(c_0(c_1(c_0(c_0(c_0(c_2(c_1(c_1(c_0(c_1(c_2(c_1(c_1(c_0(c_0(c_2(c_2(c_0(c_1(c_1(c_1(c_2(c_1(c_1(c_1(c_1(c_2(c_1(x1)))))))))))))))))))))))))))))))))) -> 2(0(0(2(0(0(1(2(0(2(2(0(2(2(2(0(0(0(1(0(2(0(0(1(2(0(0(2(0(1(2(0(0(1(0(x1))))))))))))))))))))))))))))))))))) [1] 1(c_2(c_1(c_0(c_0(c_1(c_2(c_1(c_1(x1))))))))) -> 1(0(2(0(1(1(2(1(1(x1))))))))) [1] 0(c_1(c_0(c_1(c_2(c_0(c_0(c_1(c_0(c_0(c_1(c_2(c_1(c_0(c_1(c_0(x1)))))))))))))))) -> 0(1(1(1(1(2(0(2(1(0(0(0(1(0(0(0(x1)))))))))))))))) [1] 2(c_2(c_0(c_0(c_0(c_1(c_0(c_2(c_1(c_0(c_1(c_0(c_0(c_0(c_1(c_0(c_2(c_2(c_2(c_1(c_0(c_0(c_0(x1))))))))))))))))))))))) -> 0(0(2(0(0(1(2(0(0(1(1(0(2(0(2(2(0(1(0(2(1(0(0(x1))))))))))))))))))))))) [1] 2(c_2(c_2(c_1(c_0(c_0(c_2(c_0(c_1(c_0(c_2(c_1(c_0(c_2(c_1(c_0(c_0(c_1(c_1(c_0(c_0(c_0(c_2(c_0(c_2(x1))))))))))))))))))))))))) -> 1(0(2(0(1(0(1(0(2(0(1(1(1(2(1(0(2(0(2(0(2(2(0(0(2(0(2(x1))))))))))))))))))))))))))) [1] 0(c_0(c_0(c_1(c_0(c_0(c_1(c_2(c_1(c_0(c_2(c_0(c_2(c_1(c_1(c_2(c_2(c_2(c_1(c_1(c_0(c_2(c_2(c_2(c_2(c_2(c_0(c_0(c_0(c_1(c_0(c_1(c_0(c_0(c_0(c_1(c_0(x1))))))))))))))))))))))))))))))))))))) -> 0(1(1(0(2(1(1(1(0(2(0(1(2(0(0(0(2(2(1(0(2(2(2(1(1(1(2(1(0(2(1(1(0(1(2(0(1(1(1(x1))))))))))))))))))))))))))))))))))))))) [1] 0(c_2(c_1(c_2(c_0(c_2(c_1(c_1(c_2(c_2(c_0(c_2(c_1(c_2(c_2(c_0(c_0(c_0(c_1(c_1(c_1(c_0(c_2(c_2(c_2(c_2(c_2(c_2(c_2(c_2(c_2(c_1(c_1(c_1(c_2(c_1(c_0(c_1(c_1(c_0(c_0(c_0(c_2(c_0(c_0(x1))))))))))))))))))))))))))))))))))))))))))))) -> 0(2(2(0(2(2(2(0(0(2(2(1(0(1(0(0(2(2(1(1(0(2(2(0(2(2(2(0(1(2(0(0(2(0(2(0(2(1(1(2(2(1(2(1(1(0(x1)))))))))))))))))))))))))))))))))))))))))))))) [1] 0(c_1(c_0(c_1(c_0(c_2(c_1(c_1(c_0(c_1(c_2(c_0(c_0(c_1(c_2(c_2(c_0(c_2(c_0(c_2(c_1(c_2(c_1(c_2(c_2(c_0(c_2(c_2(c_1(c_2(x1)))))))))))))))))))))))))))))) -> 0(2(2(1(0(0(0(2(2(1(0(2(0(2(0(1(2(0(1(2(0(1(2(0(2(0(1(2(1(2(1(x1))))))))))))))))))))))))))))))) [1] 1(c_2(c_2(c_0(c_2(c_1(c_2(c_0(c_2(c_2(c_1(c_1(c_1(c_2(c_1(c_2(c_1(c_2(c_2(c_2(c_2(c_2(c_0(c_0(c_0(c_0(c_1(c_0(c_0(c_0(c_1(c_1(c_2(c_0(x1)))))))))))))))))))))))))))))))))) -> 1(1(2(1(1(1(0(1(2(0(0(1(2(2(0(2(0(0(2(0(1(0(2(0(0(1(0(0(0(2(0(2(1(2(2(0(1(x1))))))))))))))))))))))))))))))))))))) [1] 1(c_2(c_1(c_0(c_0(c_1(c_1(c_0(c_1(c_0(c_2(c_1(c_2(c_0(c_2(c_0(c_1(c_1(c_2(c_1(c_2(c_0(c_1(c_1(c_0(c_0(c_0(c_1(x1)))))))))))))))))))))))))))) -> 1(1(1(1(2(0(2(0(0(1(2(0(0(0(0(2(2(1(0(0(2(0(1(2(0(1(2(0(0(x1))))))))))))))))))))))))))))) [1] 0(c_2(c_2(c_2(c_0(c_1(c_1(c_2(c_1(c_1(c_2(c_2(c_1(c_1(c_1(c_2(c_2(c_1(c_1(c_1(c_1(c_0(c_2(c_1(c_1(c_0(c_0(c_2(c_0(c_1(c_2(c_2(c_1(c_1(c_0(c_0(c_0(c_1(c_1(c_0(c_0(c_0(x1)))))))))))))))))))))))))))))))))))))))))) -> 0(0(1(0(2(2(0(2(0(0(2(0(2(0(1(2(0(2(0(2(0(0(1(1(2(1(0(1(0(1(2(2(0(2(2(1(0(0(2(0(2(1(0(x1))))))))))))))))))))))))))))))))))))))))))) [1] 2(c_1(c_2(c_1(c_2(c_1(c_1(c_0(c_2(c_0(c_2(c_1(c_2(c_2(c_2(c_1(c_1(c_2(c_0(c_0(c_1(c_0(c_1(c_1(c_2(c_1(c_1(c_2(c_0(c_1(c_2(c_2(c_1(c_1(c_0(c_0(c_1(c_1(x1)))))))))))))))))))))))))))))))))))))) -> 2(1(0(2(2(1(0(0(0(2(2(2(1(2(0(1(0(0(1(0(0(0(2(1(1(0(0(2(0(1(2(0(2(2(1(0(2(0(0(x1))))))))))))))))))))))))))))))))))))))) [1] 0(c_1(c_2(c_0(c_1(c_1(c_1(c_1(c_2(c_2(c_0(c_2(c_2(c_1(c_0(c_0(c_0(c_1(c_0(c_2(c_1(c_1(c_1(x1))))))))))))))))))))))) -> 0(1(0(0(2(0(1(1(2(2(0(0(1(0(2(0(1(1(1(1(1(2(2(2(x1)))))))))))))))))))))))) [1] 2(c_1(c_1(c_2(c_2(c_0(c_1(c_1(c_0(c_2(c_1(c_0(c_1(c_1(c_0(c_2(c_1(c_1(c_1(c_0(c_1(c_0(c_2(c_1(c_0(c_2(c_1(c_1(c_1(c_0(c_1(c_0(c_0(c_1(x1)))))))))))))))))))))))))))))))))) -> 0(1(2(0(1(2(0(2(0(2(1(2(0(0(1(2(1(1(2(0(0(1(2(2(1(2(1(0(0(1(2(1(0(0(0(0(x1)))))))))))))))))))))))))))))))))))) [1] 1(c_2(c_1(c_1(c_0(c_2(c_2(c_0(c_1(c_2(c_2(c_0(c_2(c_0(c_0(c_1(c_1(c_0(c_1(c_2(c_2(c_2(c_0(c_2(c_2(c_0(c_0(c_0(c_0(c_1(c_1(c_0(c_1(c_0(c_0(c_0(c_1(c_2(c_1(c_2(c_2(c_2(c_0(c_0(x1)))))))))))))))))))))))))))))))))))))))))))) -> 1(1(2(1(0(2(0(2(2(2(1(1(1(1(0(2(1(1(2(1(0(0(2(1(0(0(2(0(2(1(2(2(1(0(1(1(2(0(1(0(2(2(2(0(0(x1))))))))))))))))))))))))))))))))))))))))))))) [1] 2(c_1(c_2(c_0(c_0(c_0(c_0(c_1(c_2(c_0(c_1(c_1(c_1(x1))))))))))))) -> 0(0(2(0(2(0(0(2(0(0(0(1(1(1(x1)))))))))))))) [1] 2(c_0(c_1(c_1(c_2(c_0(c_0(c_1(c_1(c_1(c_0(c_0(c_0(c_2(c_0(c_0(c_1(c_0(c_0(c_1(c_0(c_0(c_0(c_2(c_1(c_2(c_1(c_0(c_1(c_1(c_1(c_1(c_0(c_0(c_1(c_1(c_0(c_2(c_0(c_2(c_2(c_1(c_0(c_2(c_1(c_1(c_0(x1))))))))))))))))))))))))))))))))))))))))))))))) -> 2(0(2(0(2(0(2(0(2(0(2(1(2(1(0(0(1(0(0(2(1(2(0(2(0(0(2(1(2(2(1(1(2(2(2(1(2(1(0(0(2(0(0(2(2(2(1(0(2(0(x1)))))))))))))))))))))))))))))))))))))))))))))))))) [1] 1(c_2(c_1(c_2(c_1(c_0(c_2(c_2(c_2(c_1(c_2(c_0(c_0(c_2(c_2(c_0(c_1(c_2(c_1(c_1(c_2(c_1(c_0(c_1(c_2(c_2(c_1(c_2(c_0(c_1(c_2(c_2(c_1(c_2(c_2(c_1(c_1(c_2(c_1(c_0(c_1(c_1(c_1(x1))))))))))))))))))))))))))))))))))))))))))) -> 1(0(0(2(1(0(1(2(2(1(0(1(2(1(0(1(0(1(2(0(2(2(1(0(2(1(2(2(2(0(0(1(2(0(2(0(0(1(1(0(2(1(2(0(1(x1))))))))))))))))))))))))))))))))))))))))))))) [1] 1(c_1(c_0(c_1(c_1(c_1(c_1(c_0(c_1(c_0(c_0(c_2(c_1(c_1(c_2(c_0(c_0(c_1(c_1(c_0(c_2(c_0(c_0(c_0(x1)))))))))))))))))))))))) -> 2(0(0(2(1(0(2(2(2(0(0(2(2(2(2(0(0(0(2(0(1(2(0(0(0(x1))))))))))))))))))))))))) [1] 2(c_1(c_0(c_0(c_1(c_1(c_0(c_2(c_2(c_0(c_1(c_0(c_0(c_1(c_2(c_0(c_2(c_1(c_2(c_0(c_1(c_0(c_0(c_0(x1)))))))))))))))))))))))) -> 2(1(1(0(1(2(0(0(2(0(2(0(2(1(0(1(2(0(1(0(2(1(1(2(0(0(x1)))))))))))))))))))))))))) [1] 1(c_2(c_0(c_0(c_0(c_2(c_0(c_1(c_1(c_2(c_2(c_0(c_0(c_2(c_2(c_0(c_2(c_1(c_1(c_1(c_2(c_1(c_1(c_1(c_0(c_1(c_2(c_1(c_2(c_1(x1)))))))))))))))))))))))))))))) -> 1(0(2(0(1(1(2(0(2(1(0(0(1(2(2(0(1(1(2(0(2(2(1(2(2(2(2(1(1(1(2(x1))))))))))))))))))))))))))))))) [1] 0(c_2(c_2(c_0(c_1(c_2(c_0(c_0(c_0(c_2(c_2(c_2(c_1(c_2(c_2(c_2(c_1(c_0(c_0(c_0(c_2(c_0(c_2(c_1(c_1(c_0(c_2(c_1(c_2(c_0(c_1(c_0(c_2(c_1(c_2(c_0(c_2(c_1(c_0(c_1(c_0(c_1(x1)))))))))))))))))))))))))))))))))))))))))) -> 0(1(1(1(2(0(0(0(0(1(1(2(0(2(0(2(0(0(0(2(2(0(0(0(0(2(2(0(1(1(0(0(1(2(1(2(0(1(2(0(0(2(0(0(0(x1))))))))))))))))))))))))))))))))))))))))))))) [1] 0(c_2(c_1(c_2(c_0(c_1(c_2(c_1(c_1(c_1(c_2(c_0(c_0(c_0(c_0(c_1(c_2(c_1(c_0(c_0(c_2(c_2(c_2(c_0(c_1(c_2(c_0(c_2(c_1(c_1(c_2(c_2(c_1(c_2(c_1(x1))))))))))))))))))))))))))))))))))) -> 0(2(1(2(0(2(0(1(0(1(0(0(1(2(0(2(2(1(0(2(1(2(0(0(1(2(1(2(2(2(1(2(1(1(1(x1))))))))))))))))))))))))))))))))))) [1] 2(c_2(c_0(c_1(c_2(c_1(c_2(c_1(c_0(c_2(c_1(c_1(c_0(c_0(c_1(c_0(c_1(c_2(c_1(c_1(c_0(c_1(c_0(c_2(c_1(c_1(c_2(c_0(c_0(c_0(x1)))))))))))))))))))))))))))))) -> 1(0(0(1(0(0(2(1(2(2(1(0(2(1(2(2(1(0(1(1(2(1(0(2(0(1(2(2(0(2(0(x1))))))))))))))))))))))))))))))) [1] 2(c_1(c_1(c_2(c_0(c_2(c_0(c_2(c_0(c_1(c_1(c_0(c_2(c_2(c_2(c_2(c_1(c_1(c_1(c_0(c_0(c_0(c_1(c_1(c_0(c_0(c_0(c_1(c_2(c_0(c_0(c_0(c_0(c_1(c_0(c_1(c_2(c_1(c_2(c_2(c_0(c_1(x1)))))))))))))))))))))))))))))))))))))))))) -> 2(2(2(0(0(1(2(0(0(2(0(1(1(0(2(0(1(2(0(1(0(0(2(0(2(1(1(0(2(1(0(0(2(2(1(2(2(2(0(1(1(2(0(2(0(x1))))))))))))))))))))))))))))))))))))))))))))) [1] 2(c_1(c_2(c_0(c_2(c_2(c_0(c_2(c_0(c_0(c_1(c_0(c_1(c_0(c_0(c_1(c_0(c_2(c_2(c_1(c_0(c_2(c_1(c_1(c_0(c_2(c_1(c_1(c_0(c_1(c_2(c_2(c_0(c_0(c_0(c_1(c_2(c_1(c_2(c_0(c_1(c_1(c_1(c_2(c_1(c_1(c_0(x1))))))))))))))))))))))))))))))))))))))))))))))) -> 0(2(2(0(1(2(1(0(2(0(2(0(0(1(2(2(1(1(2(2(2(0(1(2(0(0(2(2(0(0(0(1(2(2(1(2(2(1(0(2(1(1(1(1(0(1(0(2(0(x1))))))))))))))))))))))))))))))))))))))))))))))))) [1] 2(c_2(c_2(c_0(c_1(c_1(c_1(c_1(c_1(c_1(c_0(c_2(c_1(c_1(c_0(c_0(c_0(c_1(c_1(c_2(c_2(c_2(c_2(c_2(c_2(c_2(c_2(c_0(c_0(c_1(c_0(c_2(c_0(c_1(x1)))))))))))))))))))))))))))))))))) -> 0(1(0(0(1(0(0(1(2(0(2(0(2(0(2(0(2(2(1(0(2(1(1(1(1(1(1(0(1(0(1(1(0(0(0(x1))))))))))))))))))))))))))))))))))) [1] 2(c_0(c_2(c_2(c_1(c_2(c_1(c_2(c_2(c_2(c_0(c_1(c_0(c_2(c_2(c_1(c_0(c_0(c_0(c_1(c_2(c_0(c_1(c_2(c_1(c_0(c_0(c_2(c_2(c_0(c_2(c_1(c_1(c_1(c_0(c_0(c_1(x1))))))))))))))))))))))))))))))))))))) -> 1(2(2(0(0(0(1(1(0(2(0(2(0(0(2(0(1(1(2(0(2(0(1(2(1(2(1(2(1(0(2(2(2(1(0(1(0(1(0(x1))))))))))))))))))))))))))))))))))))))) [1] 2(c_2(c_2(c_0(c_0(c_2(c_0(c_2(c_1(c_2(c_1(c_2(c_1(c_0(c_1(c_1(c_2(c_1(c_1(c_2(c_0(c_1(c_0(c_1(c_0(c_0(c_1(c_1(c_2(c_1(c_1(c_2(c_2(c_1(c_1(c_1(c_1(c_0(c_1(x1))))))))))))))))))))))))))))))))))))))) -> 1(0(2(1(1(2(1(1(2(0(0(2(2(0(2(0(1(2(1(0(2(0(1(2(1(2(2(2(2(0(2(2(2(1(0(2(0(0(1(1(x1)))))))))))))))))))))))))))))))))))))))) [1] 1(c_1(c_1(c_2(c_0(c_1(c_0(c_1(c_0(c_1(c_1(c_1(c_2(c_1(c_1(c_2(c_1(c_2(c_2(c_1(c_1(c_2(c_1(c_1(c_2(c_1(c_2(c_0(c_0(c_2(c_2(c_2(c_1(c_2(c_0(c_0(c_0(c_0(c_1(c_1(c_0(c_0(x1)))))))))))))))))))))))))))))))))))))))))) -> 1(2(1(0(1(2(0(1(0(2(0(2(2(2(0(1(1(1(1(2(1(0(2(2(1(0(2(2(1(1(0(2(1(2(0(2(0(2(1(0(0(0(0(x1))))))))))))))))))))))))))))))))))))))))))) [1] 0(c_2(c_2(c_2(c_1(c_2(c_0(c_2(c_1(c_0(c_1(c_2(c_2(c_0(c_1(c_1(c_0(c_2(c_0(c_0(c_1(c_2(c_2(c_2(c_0(c_0(c_2(c_0(c_2(c_2(c_1(c_0(c_0(c_1(c_0(c_0(x1)))))))))))))))))))))))))))))))))))) -> 0(0(0(2(0(0(0(2(2(2(0(1(0(2(1(2(2(0(1(2(2(0(0(0(1(0(0(0(2(0(1(1(0(2(0(2(0(x1))))))))))))))))))))))))))))))))))))) [1] 1(c_2(c_1(c_1(c_1(c_2(c_1(c_0(c_2(c_2(c_0(c_1(c_2(c_0(c_0(c_1(c_0(c_0(c_2(c_1(c_2(c_1(c_2(c_1(c_0(c_1(c_0(c_2(c_1(c_0(x1)))))))))))))))))))))))))))))) -> 1(0(1(0(0(0(2(0(1(1(1(2(2(2(2(1(0(2(0(2(2(1(1(0(1(2(2(1(1(1(0(x1))))))))))))))))))))))))))))))) [1] 1(c_0(c_1(c_2(c_0(c_1(c_0(c_2(c_2(c_1(c_2(c_2(c_0(c_0(c_0(c_2(c_1(c_1(c_2(c_0(c_2(c_1(c_1(c_1(c_0(c_1(c_0(c_0(c_0(c_2(c_1(c_1(c_2(c_1(c_0(c_0(x1)))))))))))))))))))))))))))))))))))) -> 1(1(2(1(0(2(1(1(2(0(2(1(1(1(2(2(0(2(1(2(2(1(1(1(0(1(0(2(0(0(0(2(0(2(0(0(1(x1))))))))))))))))))))))))))))))))))))) [1] 0(c_2(c_1(c_1(c_1(c_0(c_2(c_1(c_1(c_0(c_0(c_2(c_1(c_0(c_2(c_1(c_1(c_0(c_2(c_2(c_1(c_0(c_2(c_0(c_1(c_0(c_2(c_1(c_0(c_1(c_1(c_2(c_2(c_1(c_0(c_1(c_2(c_2(c_0(c_0(x1)))))))))))))))))))))))))))))))))))))))) -> 0(2(1(2(2(2(2(1(1(1(1(1(2(0(0(2(0(2(0(0(2(1(1(1(0(2(0(2(2(2(1(1(1(0(0(0(1(2(2(0(2(0(x1)))))))))))))))))))))))))))))))))))))))))) [1] 2(c_2(c_1(c_2(c_1(c_1(c_0(c_0(c_0(c_0(c_1(c_2(c_1(c_1(c_1(c_0(c_0(c_1(c_1(c_0(c_0(c_2(c_0(c_1(c_1(c_1(c_0(c_2(c_2(c_1(c_2(c_0(c_0(c_1(c_0(c_0(c_1(x1))))))))))))))))))))))))))))))))))))) -> 2(0(1(2(0(2(0(1(1(0(0(1(0(1(0(2(0(1(0(2(2(2(1(2(1(0(2(0(2(0(0(2(0(1(1(1(2(0(0(2(1(0(x1)))))))))))))))))))))))))))))))))))))))))) [1] 2(c_1(c_2(c_0(c_0(c_2(c_1(c_0(c_1(c_2(c_1(c_2(c_0(c_0(c_0(c_0(c_1(c_1(c_1(c_0(c_2(c_0(c_1(c_0(c_2(c_1(c_2(c_1(c_2(c_0(c_2(c_1(c_1(c_1(c_1(c_0(c_1(c_0(c_0(c_1(c_1(c_0(x1)))))))))))))))))))))))))))))))))))))))))) -> 2(2(1(1(1(1(2(2(0(2(1(1(1(2(2(1(0(1(0(1(2(0(2(2(2(1(1(2(0(1(2(0(1(0(0(2(1(0(2(0(1(0(1(x1))))))))))))))))))))))))))))))))))))))))))) [1] 0(c_0(c_0(c_2(c_2(c_0(c_2(c_1(c_1(c_0(c_0(c_2(c_2(c_1(c_2(c_0(c_1(c_0(c_1(c_0(c_1(c_1(c_0(c_0(x1)))))))))))))))))))))))) -> 0(0(1(0(2(0(0(1(2(2(2(2(2(1(0(1(2(1(2(0(1(1(1(1(1(x1))))))))))))))))))))))))) [1] 0(c_1(c_1(c_1(c_0(c_1(c_0(c_0(c_2(c_1(c_0(c_0(c_1(c_0(c_0(c_0(c_0(c_1(c_1(c_2(c_1(c_1(c_1(c_0(c_0(c_0(c_1(c_2(c_0(c_2(c_2(c_2(c_2(c_0(c_2(c_0(c_0(x1))))))))))))))))))))))))))))))))))))) -> 0(0(2(0(1(2(0(0(1(2(0(2(1(1(0(2(1(2(2(2(2(2(0(0(1(0(1(1(2(0(0(1(1(1(1(1(2(0(x1)))))))))))))))))))))))))))))))))))))) [1] encArg(cons_0(x_1)) -> 0(encArg(x_1)) [0] encArg(cons_2(x_1)) -> 2(encArg(x_1)) [0] encArg(cons_1(x_1)) -> 1(encArg(x_1)) [0] encode_0(x_1) -> 0(encArg(x_1)) [0] encode_1(x_1) -> 1(encArg(x_1)) [0] encode_2(x_1) -> 2(encArg(x_1)) [0] 0(x0) -> c_0(x0) [0] 1(x0) -> c_1(x0) [0] 2(x0) -> c_2(x0) [0] Rewrite Strategy: INNERMOST ---------------------------------------- (19) CpxWeightedTrsRenamingProof (BOTH BOUNDS(ID, ID)) Renamed defined symbols to avoid conflicts with arithmetic symbols: 0 => 0' 2 => 2' 1 => 1' ---------------------------------------- (20) Obligation: The Runtime Complexity (innermost) of the given CpxWeightedTrs could be proven to be BOUNDS(1, INF). The TRS R consists of the following rules: 0'(c_1(c_0(c_1(c_1(c_0(c_1(c_2(c_2(c_1(c_1(c_1(c_0(c_2(c_1(c_1(c_1(x1))))))))))))))))) -> 0'(2'(1'(1'(0'(2'(2'(0'(2'(2'(0'(0'(2'(0'(1'(2'(1'(2'(x1)))))))))))))))))) [1] 2'(c_1(c_1(c_0(c_0(c_0(c_1(c_1(c_2(c_2(c_1(c_2(c_1(c_2(c_1(c_2(c_2(c_0(c_1(c_0(c_0(c_0(c_1(c_2(c_0(c_0(c_1(c_1(c_2(x1))))))))))))))))))))))))))))) -> 0'(2'(1'(2'(2'(0'(1'(0'(1'(2'(0'(0'(1'(1'(1'(0'(1'(1'(1'(1'(2'(0'(2'(2'(0'(2'(1'(0'(2'(x1))))))))))))))))))))))))))))) [1] 2'(c_1(c_0(c_0(c_1(c_0(c_0(c_1(c_2(c_2(c_0(c_2(c_2(c_1(c_0(c_0(c_0(c_2(c_2(c_1(c_1(c_2(c_0(c_1(c_2(c_0(c_0(c_1(c_2(c_0(c_2(c_1(c_0(c_2(c_2(c_0(c_1(c_1(c_1(x1))))))))))))))))))))))))))))))))))))))) -> 2'(1'(2'(0'(0'(1'(2'(0'(1'(2'(0'(0'(0'(2'(2'(0'(2'(0'(1'(0'(0'(0'(2'(0'(0'(2'(2'(0'(2'(2'(2'(0'(0'(2'(0'(1'(0'(2'(0'(1'(0'(x1))))))))))))))))))))))))))))))))))))))))) [1] 0'(c_0(c_2(c_0(c_2(c_1(c_1(c_2(c_0(c_2(c_1(c_1(c_2(c_0(c_1(c_0(c_1(c_2(c_1(c_1(c_1(c_0(c_0(c_0(c_0(c_2(c_2(c_1(c_2(c_0(x1)))))))))))))))))))))))))))))) -> 0'(0'(2'(0'(1'(1'(1'(0'(0'(2'(1'(1'(2'(0'(0'(2'(2'(0'(1'(1'(1'(2'(0'(2'(0'(2'(1'(2'(1'(0'(x1)))))))))))))))))))))))))))))) [1] 2'(c_2(c_0(c_0(c_2(c_1(c_0(c_1(x1)))))))) -> 1'(2'(2'(0'(0'(1'(2'(0'(x1)))))))) [1] 1'(c_0(c_1(c_0(c_2(c_2(c_2(c_2(c_0(c_1(c_1(c_0(c_1(c_2(c_2(c_0(c_2(c_1(c_0(c_1(c_1(x1))))))))))))))))))))) -> 2'(0'(0'(0'(2'(2'(1'(2'(0'(2'(0'(1'(0'(0'(2'(0'(2'(0'(0'(2'(1'(0'(x1)))))))))))))))))))))) [1] 1'(c_0(c_0(c_1(c_2(c_0(c_0(c_0(c_1(c_1(c_1(c_1(c_2(c_2(c_2(c_2(c_2(c_1(c_1(c_2(c_1(c_0(c_1(c_0(c_1(c_0(x1)))))))))))))))))))))))))) -> 1'(0'(1'(0'(2'(2'(0'(2'(0'(1'(1'(2'(2'(1'(2'(2'(2'(2'(0'(0'(1'(1'(0'(1'(0'(2'(0'(x1))))))))))))))))))))))))))) [1] 2'(c_1(c_2(c_1(c_2(c_2(c_2(c_0(c_2(c_2(c_0(c_2(c_2(c_1(c_2(c_1(c_1(c_0(c_0(c_1(c_0(c_1(c_0(c_2(c_1(c_1(c_0(c_2(c_0(c_0(c_2(c_1(c_1(c_1(x1)))))))))))))))))))))))))))))))))) -> 1'(2'(2'(2'(0'(2'(0'(2'(1'(2'(0'(0'(0'(1'(1'(0'(1'(2'(0'(0'(0'(2'(0'(0'(0'(1'(0'(2'(2'(2'(2'(1'(0'(2'(2'(x1))))))))))))))))))))))))))))))))))) [1] 2'(c_1(c_2(c_1(c_2(c_1(c_2(c_1(c_0(c_1(c_0(c_2(c_2(c_0(c_0(c_1(c_2(c_2(c_1(c_2(c_1(c_0(c_1(c_0(c_2(c_1(c_2(c_2(c_2(c_1(c_1(c_1(c_2(c_0(c_1(c_1(c_0(x1))))))))))))))))))))))))))))))))))))) -> 1'(0'(1'(2'(1'(2'(1'(2'(2'(2'(1'(0'(2'(1'(0'(0'(2'(0'(0'(0'(2'(0'(1'(0'(1'(1'(2'(2'(0'(1'(1'(0'(2'(0'(0'(2'(0'(1'(0'(1'(x1)))))))))))))))))))))))))))))))))))))))) [1] 2'(c_2(c_0(c_2(c_2(c_1(c_2(c_0(c_2(c_2(c_2(c_1(c_1(c_0(c_2(c_1(c_1(c_1(c_2(c_2(c_0(c_1(c_0(c_1(c_0(c_1(c_0(c_0(c_1(c_2(c_0(c_0(c_2(c_2(c_0(c_0(c_2(c_1(c_1(c_1(c_1(c_2(x1)))))))))))))))))))))))))))))))))))))))))) -> 0'(1'(2'(2'(0'(2'(0'(0'(0'(2'(0'(2'(1'(2'(0'(0'(1'(0'(2'(0'(0'(2'(0'(1'(1'(2'(1'(1'(0'(2'(1'(2'(1'(2'(0'(0'(0'(1'(2'(0'(0'(1'(0'(x1))))))))))))))))))))))))))))))))))))))))))) [1] 2'(c_1(c_1(c_1(c_2(c_2(c_0(c_2(c_0(c_0(c_0(c_0(c_1(c_1(c_2(c_0(c_2(c_2(c_0(c_0(c_2(c_2(c_2(c_0(c_0(c_2(c_1(c_0(c_2(c_1(c_0(c_2(c_1(c_2(x1)))))))))))))))))))))))))))))))))) -> 1'(0'(2'(0'(2'(0'(0'(0'(0'(2'(2'(0'(0'(2'(0'(0'(2'(0'(2'(1'(0'(0'(2'(0'(1'(2'(0'(0'(0'(1'(2'(1'(1'(2'(0'(2'(x1)))))))))))))))))))))))))))))))))))) [1] 0'(c_2(c_0(c_0(c_1(c_0(c_0(c_2(c_2(c_2(c_0(c_1(c_1(c_1(c_1(c_2(c_2(c_0(c_0(c_0(c_0(c_2(c_0(c_1(c_2(c_1(c_0(c_1(c_2(c_1(c_2(c_2(c_2(c_0(c_0(c_0(c_0(c_1(c_0(c_0(x1)))))))))))))))))))))))))))))))))))))))) -> 0'(1'(0'(0'(2'(0'(2'(0'(0'(2'(1'(0'(0'(2'(2'(1'(1'(2'(2'(2'(1'(2'(0'(1'(1'(2'(0'(2'(0'(2'(1'(2'(0'(2'(0'(1'(2'(0'(2'(1'(0'(0'(1'(x1))))))))))))))))))))))))))))))))))))))))))) [1] 2'(c_1(c_0(c_0(c_1(c_0(c_2(c_2(c_1(c_1(c_1(c_0(c_1(c_2(c_0(c_1(c_0(c_2(c_1(c_0(c_0(c_2(c_2(c_1(c_1(c_1(c_2(c_2(c_0(c_0(c_0(c_0(c_1(c_1(c_2(c_1(c_0(c_1(c_2(c_2(x1)))))))))))))))))))))))))))))))))))))))) -> 2'(2'(0'(0'(1'(2'(0'(2'(1'(2'(1'(1'(1'(2'(2'(1'(0'(0'(1'(0'(0'(2'(0'(1'(2'(1'(2'(1'(0'(2'(0'(2'(0'(1'(1'(1'(0'(1'(1'(0'(x1)))))))))))))))))))))))))))))))))))))))) [1] 2'(c_1(c_0(c_2(c_1(c_0(c_2(c_2(c_2(c_2(c_0(c_0(c_0(c_1(c_1(c_1(c_2(c_2(c_0(c_2(c_2(c_2(c_0(c_1(c_0(c_2(c_1(c_0(c_1(c_1(c_2(c_2(c_2(c_0(c_0(x1))))))))))))))))))))))))))))))))))) -> 0'(2'(0'(1'(2'(1'(1'(0'(2'(2'(0'(0'(0'(0'(2'(0'(1'(0'(2'(1'(2'(2'(0'(1'(0'(1'(0'(1'(2'(0'(0'(2'(2'(0'(1'(0'(x1)))))))))))))))))))))))))))))))))))) [1] 2'(c_1(c_2(c_0(c_1(c_0(c_0(c_1(c_1(c_0(c_2(c_1(c_1(c_0(c_1(c_2(c_1(c_1(c_2(c_1(c_0(c_2(c_2(c_2(c_1(c_1(c_1(c_0(c_1(c_0(c_2(c_0(c_1(c_2(c_1(c_1(c_0(c_2(c_2(c_0(x1)))))))))))))))))))))))))))))))))))))))) -> 2'(0'(0'(2'(0'(0'(1'(2'(2'(2'(2'(2'(1'(2'(0'(2'(0'(1'(2'(1'(0'(0'(1'(1'(0'(1'(1'(1'(2'(0'(2'(0'(2'(1'(0'(1'(2'(0'(1'(2'(0'(1'(x1)))))))))))))))))))))))))))))))))))))))))) [1] 1'(c_0(c_2(c_1(c_0(c_0(c_1(c_0(c_1(c_2(x1)))))))))) -> 1'(2'(0'(0'(1'(1'(0'(0'(1'(2'(x1)))))))))) [1] 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1'(1'(2'(1'(1'(1'(0'(1'(2'(0'(0'(1'(2'(2'(0'(2'(0'(0'(2'(0'(1'(0'(2'(0'(0'(1'(0'(0'(0'(2'(0'(2'(1'(2'(2'(0'(1'(x1))))))))))))))))))))))))))))))))))))) [1] 1'(c_2(c_1(c_0(c_0(c_1(c_1(c_0(c_1(c_0(c_2(c_1(c_2(c_0(c_2(c_0(c_1(c_1(c_2(c_1(c_2(c_0(c_1(c_1(c_0(c_0(c_0(c_1(x1)))))))))))))))))))))))))))) -> 1'(1'(1'(1'(2'(0'(2'(0'(0'(1'(2'(0'(0'(0'(0'(2'(2'(1'(0'(0'(2'(0'(1'(2'(0'(1'(2'(0'(0'(x1))))))))))))))))))))))))))))) [1] 0'(c_2(c_2(c_2(c_0(c_1(c_1(c_2(c_1(c_1(c_2(c_2(c_1(c_1(c_1(c_2(c_2(c_1(c_1(c_1(c_1(c_0(c_2(c_1(c_1(c_0(c_0(c_2(c_0(c_1(c_2(c_2(c_1(c_1(c_0(c_0(c_0(c_1(c_1(c_0(c_0(c_0(x1)))))))))))))))))))))))))))))))))))))))))) -> 0'(0'(1'(0'(2'(2'(0'(2'(0'(0'(2'(0'(2'(0'(1'(2'(0'(2'(0'(2'(0'(0'(1'(1'(2'(1'(0'(1'(0'(1'(2'(2'(0'(2'(2'(1'(0'(0'(2'(0'(2'(1'(0'(x1))))))))))))))))))))))))))))))))))))))))))) [1] 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1'(c_2(c_1(c_1(c_0(c_2(c_2(c_0(c_1(c_2(c_2(c_0(c_2(c_0(c_0(c_1(c_1(c_0(c_1(c_2(c_2(c_2(c_0(c_2(c_2(c_0(c_0(c_0(c_0(c_1(c_1(c_0(c_1(c_0(c_0(c_0(c_1(c_2(c_1(c_2(c_2(c_2(c_0(c_0(x1)))))))))))))))))))))))))))))))))))))))))))) -> 1'(1'(2'(1'(0'(2'(0'(2'(2'(2'(1'(1'(1'(1'(0'(2'(1'(1'(2'(1'(0'(0'(2'(1'(0'(0'(2'(0'(2'(1'(2'(2'(1'(0'(1'(1'(2'(0'(1'(0'(2'(2'(2'(0'(0'(x1))))))))))))))))))))))))))))))))))))))))))))) [1] 2'(c_1(c_2(c_0(c_0(c_0(c_0(c_1(c_2(c_0(c_1(c_1(c_1(x1))))))))))))) -> 0'(0'(2'(0'(2'(0'(0'(2'(0'(0'(0'(1'(1'(1'(x1)))))))))))))) [1] 2'(c_0(c_1(c_1(c_2(c_0(c_0(c_1(c_1(c_1(c_0(c_0(c_0(c_2(c_0(c_0(c_1(c_0(c_0(c_1(c_0(c_0(c_0(c_2(c_1(c_2(c_1(c_0(c_1(c_1(c_1(c_1(c_0(c_0(c_1(c_1(c_0(c_2(c_0(c_2(c_2(c_1(c_0(c_2(c_1(c_1(c_0(x1))))))))))))))))))))))))))))))))))))))))))))))) -> 2'(0'(2'(0'(2'(0'(2'(0'(2'(0'(2'(1'(2'(1'(0'(0'(1'(0'(0'(2'(1'(2'(0'(2'(0'(0'(2'(1'(2'(2'(1'(1'(2'(2'(2'(1'(2'(1'(0'(0'(2'(0'(0'(2'(2'(2'(1'(0'(2'(0'(x1)))))))))))))))))))))))))))))))))))))))))))))))))) [1] 1'(c_2(c_1(c_2(c_1(c_0(c_2(c_2(c_2(c_1(c_2(c_0(c_0(c_2(c_2(c_0(c_1(c_2(c_1(c_1(c_2(c_1(c_0(c_1(c_2(c_2(c_1(c_2(c_0(c_1(c_2(c_2(c_1(c_2(c_2(c_1(c_1(c_2(c_1(c_0(c_1(c_1(c_1(x1))))))))))))))))))))))))))))))))))))))))))) -> 1'(0'(0'(2'(1'(0'(1'(2'(2'(1'(0'(1'(2'(1'(0'(1'(0'(1'(2'(0'(2'(2'(1'(0'(2'(1'(2'(2'(2'(0'(0'(1'(2'(0'(2'(0'(0'(1'(1'(0'(2'(1'(2'(0'(1'(x1))))))))))))))))))))))))))))))))))))))))))))) [1] 1'(c_1(c_0(c_1(c_1(c_1(c_1(c_0(c_1(c_0(c_0(c_2(c_1(c_1(c_2(c_0(c_0(c_1(c_1(c_0(c_2(c_0(c_0(c_0(x1)))))))))))))))))))))))) -> 2'(0'(0'(2'(1'(0'(2'(2'(2'(0'(0'(2'(2'(2'(2'(0'(0'(0'(2'(0'(1'(2'(0'(0'(0'(x1))))))))))))))))))))))))) [1] 2'(c_1(c_0(c_0(c_1(c_1(c_0(c_2(c_2(c_0(c_1(c_0(c_0(c_1(c_2(c_0(c_2(c_1(c_2(c_0(c_1(c_0(c_0(c_0(x1)))))))))))))))))))))))) -> 2'(1'(1'(0'(1'(2'(0'(0'(2'(0'(2'(0'(2'(1'(0'(1'(2'(0'(1'(0'(2'(1'(1'(2'(0'(0'(x1)))))))))))))))))))))))))) [1] 1'(c_2(c_0(c_0(c_0(c_2(c_0(c_1(c_1(c_2(c_2(c_0(c_0(c_2(c_2(c_0(c_2(c_1(c_1(c_1(c_2(c_1(c_1(c_1(c_0(c_1(c_2(c_1(c_2(c_1(x1)))))))))))))))))))))))))))))) -> 1'(0'(2'(0'(1'(1'(2'(0'(2'(1'(0'(0'(1'(2'(2'(0'(1'(1'(2'(0'(2'(2'(1'(2'(2'(2'(2'(1'(1'(1'(2'(x1))))))))))))))))))))))))))))))) [1] 0'(c_2(c_2(c_0(c_1(c_2(c_0(c_0(c_0(c_2(c_2(c_2(c_1(c_2(c_2(c_2(c_1(c_0(c_0(c_0(c_2(c_0(c_2(c_1(c_1(c_0(c_2(c_1(c_2(c_0(c_1(c_0(c_2(c_1(c_2(c_0(c_2(c_1(c_0(c_1(c_0(c_1(x1)))))))))))))))))))))))))))))))))))))))))) -> 0'(1'(1'(1'(2'(0'(0'(0'(0'(1'(1'(2'(0'(2'(0'(2'(0'(0'(0'(2'(2'(0'(0'(0'(0'(2'(2'(0'(1'(1'(0'(0'(1'(2'(1'(2'(0'(1'(2'(0'(0'(2'(0'(0'(0'(x1))))))))))))))))))))))))))))))))))))))))))))) [1] 0'(c_2(c_1(c_2(c_0(c_1(c_2(c_1(c_1(c_1(c_2(c_0(c_0(c_0(c_0(c_1(c_2(c_1(c_0(c_0(c_2(c_2(c_2(c_0(c_1(c_2(c_0(c_2(c_1(c_1(c_2(c_2(c_1(c_2(c_1(x1))))))))))))))))))))))))))))))))))) -> 0'(2'(1'(2'(0'(2'(0'(1'(0'(1'(0'(0'(1'(2'(0'(2'(2'(1'(0'(2'(1'(2'(0'(0'(1'(2'(1'(2'(2'(2'(1'(2'(1'(1'(1'(x1))))))))))))))))))))))))))))))))))) [1] 2'(c_2(c_0(c_1(c_2(c_1(c_2(c_1(c_0(c_2(c_1(c_1(c_0(c_0(c_1(c_0(c_1(c_2(c_1(c_1(c_0(c_1(c_0(c_2(c_1(c_1(c_2(c_0(c_0(c_0(x1)))))))))))))))))))))))))))))) -> 1'(0'(0'(1'(0'(0'(2'(1'(2'(2'(1'(0'(2'(1'(2'(2'(1'(0'(1'(1'(2'(1'(0'(2'(0'(1'(2'(2'(0'(2'(0'(x1))))))))))))))))))))))))))))))) [1] 2'(c_1(c_1(c_2(c_0(c_2(c_0(c_2(c_0(c_1(c_1(c_0(c_2(c_2(c_2(c_2(c_1(c_1(c_1(c_0(c_0(c_0(c_1(c_1(c_0(c_0(c_0(c_1(c_2(c_0(c_0(c_0(c_0(c_1(c_0(c_1(c_2(c_1(c_2(c_2(c_0(c_1(x1)))))))))))))))))))))))))))))))))))))))))) -> 2'(2'(2'(0'(0'(1'(2'(0'(0'(2'(0'(1'(1'(0'(2'(0'(1'(2'(0'(1'(0'(0'(2'(0'(2'(1'(1'(0'(2'(1'(0'(0'(2'(2'(1'(2'(2'(2'(0'(1'(1'(2'(0'(2'(0'(x1))))))))))))))))))))))))))))))))))))))))))))) [1] 2'(c_1(c_2(c_0(c_2(c_2(c_0(c_2(c_0(c_0(c_1(c_0(c_1(c_0(c_0(c_1(c_0(c_2(c_2(c_1(c_0(c_2(c_1(c_1(c_0(c_2(c_1(c_1(c_0(c_1(c_2(c_2(c_0(c_0(c_0(c_1(c_2(c_1(c_2(c_0(c_1(c_1(c_1(c_2(c_1(c_1(c_0(x1))))))))))))))))))))))))))))))))))))))))))))))) -> 0'(2'(2'(0'(1'(2'(1'(0'(2'(0'(2'(0'(0'(1'(2'(2'(1'(1'(2'(2'(2'(0'(1'(2'(0'(0'(2'(2'(0'(0'(0'(1'(2'(2'(1'(2'(2'(1'(0'(2'(1'(1'(1'(1'(0'(1'(0'(2'(0'(x1))))))))))))))))))))))))))))))))))))))))))))))))) [1] 2'(c_2(c_2(c_0(c_1(c_1(c_1(c_1(c_1(c_1(c_0(c_2(c_1(c_1(c_0(c_0(c_0(c_1(c_1(c_2(c_2(c_2(c_2(c_2(c_2(c_2(c_2(c_0(c_0(c_1(c_0(c_2(c_0(c_1(x1)))))))))))))))))))))))))))))))))) -> 0'(1'(0'(0'(1'(0'(0'(1'(2'(0'(2'(0'(2'(0'(2'(0'(2'(2'(1'(0'(2'(1'(1'(1'(1'(1'(1'(0'(1'(0'(1'(1'(0'(0'(0'(x1))))))))))))))))))))))))))))))))))) [1] 2'(c_0(c_2(c_2(c_1(c_2(c_1(c_2(c_2(c_2(c_0(c_1(c_0(c_2(c_2(c_1(c_0(c_0(c_0(c_1(c_2(c_0(c_1(c_2(c_1(c_0(c_0(c_2(c_2(c_0(c_2(c_1(c_1(c_1(c_0(c_0(c_1(x1))))))))))))))))))))))))))))))))))))) -> 1'(2'(2'(0'(0'(0'(1'(1'(0'(2'(0'(2'(0'(0'(2'(0'(1'(1'(2'(0'(2'(0'(1'(2'(1'(2'(1'(2'(1'(0'(2'(2'(2'(1'(0'(1'(0'(1'(0'(x1))))))))))))))))))))))))))))))))))))))) [1] 2'(c_2(c_2(c_0(c_0(c_2(c_0(c_2(c_1(c_2(c_1(c_2(c_1(c_0(c_1(c_1(c_2(c_1(c_1(c_2(c_0(c_1(c_0(c_1(c_0(c_0(c_1(c_1(c_2(c_1(c_1(c_2(c_2(c_1(c_1(c_1(c_1(c_0(c_1(x1))))))))))))))))))))))))))))))))))))))) -> 1'(0'(2'(1'(1'(2'(1'(1'(2'(0'(0'(2'(2'(0'(2'(0'(1'(2'(1'(0'(2'(0'(1'(2'(1'(2'(2'(2'(2'(0'(2'(2'(2'(1'(0'(2'(0'(0'(1'(1'(x1)))))))))))))))))))))))))))))))))))))))) [1] 1'(c_1(c_1(c_2(c_0(c_1(c_0(c_1(c_0(c_1(c_1(c_1(c_2(c_1(c_1(c_2(c_1(c_2(c_2(c_1(c_1(c_2(c_1(c_1(c_2(c_1(c_2(c_0(c_0(c_2(c_2(c_2(c_1(c_2(c_0(c_0(c_0(c_0(c_1(c_1(c_0(c_0(x1)))))))))))))))))))))))))))))))))))))))))) -> 1'(2'(1'(0'(1'(2'(0'(1'(0'(2'(0'(2'(2'(2'(0'(1'(1'(1'(1'(2'(1'(0'(2'(2'(1'(0'(2'(2'(1'(1'(0'(2'(1'(2'(0'(2'(0'(2'(1'(0'(0'(0'(0'(x1))))))))))))))))))))))))))))))))))))))))))) [1] 0'(c_2(c_2(c_2(c_1(c_2(c_0(c_2(c_1(c_0(c_1(c_2(c_2(c_0(c_1(c_1(c_0(c_2(c_0(c_0(c_1(c_2(c_2(c_2(c_0(c_0(c_2(c_0(c_2(c_2(c_1(c_0(c_0(c_1(c_0(c_0(x1)))))))))))))))))))))))))))))))))))) -> 0'(0'(0'(2'(0'(0'(0'(2'(2'(2'(0'(1'(0'(2'(1'(2'(2'(0'(1'(2'(2'(0'(0'(0'(1'(0'(0'(0'(2'(0'(1'(1'(0'(2'(0'(2'(0'(x1))))))))))))))))))))))))))))))))))))) [1] 1'(c_2(c_1(c_1(c_1(c_2(c_1(c_0(c_2(c_2(c_0(c_1(c_2(c_0(c_0(c_1(c_0(c_0(c_2(c_1(c_2(c_1(c_2(c_1(c_0(c_1(c_0(c_2(c_1(c_0(x1)))))))))))))))))))))))))))))) -> 1'(0'(1'(0'(0'(0'(2'(0'(1'(1'(1'(2'(2'(2'(2'(1'(0'(2'(0'(2'(2'(1'(1'(0'(1'(2'(2'(1'(1'(1'(0'(x1))))))))))))))))))))))))))))))) [1] 1'(c_0(c_1(c_2(c_0(c_1(c_0(c_2(c_2(c_1(c_2(c_2(c_0(c_0(c_0(c_2(c_1(c_1(c_2(c_0(c_2(c_1(c_1(c_1(c_0(c_1(c_0(c_0(c_0(c_2(c_1(c_1(c_2(c_1(c_0(c_0(x1)))))))))))))))))))))))))))))))))))) -> 1'(1'(2'(1'(0'(2'(1'(1'(2'(0'(2'(1'(1'(1'(2'(2'(0'(2'(1'(2'(2'(1'(1'(1'(0'(1'(0'(2'(0'(0'(0'(2'(0'(2'(0'(0'(1'(x1))))))))))))))))))))))))))))))))))))) [1] 0'(c_2(c_1(c_1(c_1(c_0(c_2(c_1(c_1(c_0(c_0(c_2(c_1(c_0(c_2(c_1(c_1(c_0(c_2(c_2(c_1(c_0(c_2(c_0(c_1(c_0(c_2(c_1(c_0(c_1(c_1(c_2(c_2(c_1(c_0(c_1(c_2(c_2(c_0(c_0(x1)))))))))))))))))))))))))))))))))))))))) -> 0'(2'(1'(2'(2'(2'(2'(1'(1'(1'(1'(1'(2'(0'(0'(2'(0'(2'(0'(0'(2'(1'(1'(1'(0'(2'(0'(2'(2'(2'(1'(1'(1'(0'(0'(0'(1'(2'(2'(0'(2'(0'(x1)))))))))))))))))))))))))))))))))))))))))) [1] 2'(c_2(c_1(c_2(c_1(c_1(c_0(c_0(c_0(c_0(c_1(c_2(c_1(c_1(c_1(c_0(c_0(c_1(c_1(c_0(c_0(c_2(c_0(c_1(c_1(c_1(c_0(c_2(c_2(c_1(c_2(c_0(c_0(c_1(c_0(c_0(c_1(x1))))))))))))))))))))))))))))))))))))) -> 2'(0'(1'(2'(0'(2'(0'(1'(1'(0'(0'(1'(0'(1'(0'(2'(0'(1'(0'(2'(2'(2'(1'(2'(1'(0'(2'(0'(2'(0'(0'(2'(0'(1'(1'(1'(2'(0'(0'(2'(1'(0'(x1)))))))))))))))))))))))))))))))))))))))))) [1] 2'(c_1(c_2(c_0(c_0(c_2(c_1(c_0(c_1(c_2(c_1(c_2(c_0(c_0(c_0(c_0(c_1(c_1(c_1(c_0(c_2(c_0(c_1(c_0(c_2(c_1(c_2(c_1(c_2(c_0(c_2(c_1(c_1(c_1(c_1(c_0(c_1(c_0(c_0(c_1(c_1(c_0(x1)))))))))))))))))))))))))))))))))))))))))) -> 2'(2'(1'(1'(1'(1'(2'(2'(0'(2'(1'(1'(1'(2'(2'(1'(0'(1'(0'(1'(2'(0'(2'(2'(2'(1'(1'(2'(0'(1'(2'(0'(1'(0'(0'(2'(1'(0'(2'(0'(1'(0'(1'(x1))))))))))))))))))))))))))))))))))))))))))) [1] 0'(c_0(c_0(c_2(c_2(c_0(c_2(c_1(c_1(c_0(c_0(c_2(c_2(c_1(c_2(c_0(c_1(c_0(c_1(c_0(c_1(c_1(c_0(c_0(x1)))))))))))))))))))))))) -> 0'(0'(1'(0'(2'(0'(0'(1'(2'(2'(2'(2'(2'(1'(0'(1'(2'(1'(2'(0'(1'(1'(1'(1'(1'(x1))))))))))))))))))))))))) [1] 0'(c_1(c_1(c_1(c_0(c_1(c_0(c_0(c_2(c_1(c_0(c_0(c_1(c_0(c_0(c_0(c_0(c_1(c_1(c_2(c_1(c_1(c_1(c_0(c_0(c_0(c_1(c_2(c_0(c_2(c_2(c_2(c_2(c_0(c_2(c_0(c_0(x1))))))))))))))))))))))))))))))))))))) -> 0'(0'(2'(0'(1'(2'(0'(0'(1'(2'(0'(2'(1'(1'(0'(2'(1'(2'(2'(2'(2'(2'(0'(0'(1'(0'(1'(1'(2'(0'(0'(1'(1'(1'(1'(1'(2'(0'(x1)))))))))))))))))))))))))))))))))))))) [1] encArg(cons_0(x_1)) -> 0'(encArg(x_1)) [0] encArg(cons_2(x_1)) -> 2'(encArg(x_1)) [0] encArg(cons_1(x_1)) -> 1'(encArg(x_1)) [0] encode_0(x_1) -> 0'(encArg(x_1)) [0] encode_1(x_1) -> 1'(encArg(x_1)) [0] encode_2(x_1) -> 2'(encArg(x_1)) [0] 0'(x0) -> c_0(x0) [0] 1'(x0) -> c_1(x0) [0] 2'(x0) -> c_2(x0) [0] Rewrite Strategy: INNERMOST ---------------------------------------- (21) TypeInferenceProof (BOTH BOUNDS(ID, ID)) Infered types. ---------------------------------------- (22) Obligation: Runtime Complexity Weighted TRS with Types. The TRS R consists of the following rules: 0'(c_1(c_0(c_1(c_1(c_0(c_1(c_2(c_2(c_1(c_1(c_1(c_0(c_2(c_1(c_1(c_1(x1))))))))))))))))) -> 0'(2'(1'(1'(0'(2'(2'(0'(2'(2'(0'(0'(2'(0'(1'(2'(1'(2'(x1)))))))))))))))))) [1] 2'(c_1(c_1(c_0(c_0(c_0(c_1(c_1(c_2(c_2(c_1(c_2(c_1(c_2(c_1(c_2(c_2(c_0(c_1(c_0(c_0(c_0(c_1(c_2(c_0(c_0(c_1(c_1(c_2(x1))))))))))))))))))))))))))))) -> 0'(2'(1'(2'(2'(0'(1'(0'(1'(2'(0'(0'(1'(1'(1'(0'(1'(1'(1'(1'(2'(0'(2'(2'(0'(2'(1'(0'(2'(x1))))))))))))))))))))))))))))) [1] 2'(c_1(c_0(c_0(c_1(c_0(c_0(c_1(c_2(c_2(c_0(c_2(c_2(c_1(c_0(c_0(c_0(c_2(c_2(c_1(c_1(c_2(c_0(c_1(c_2(c_0(c_0(c_1(c_2(c_0(c_2(c_1(c_0(c_2(c_2(c_0(c_1(c_1(c_1(x1))))))))))))))))))))))))))))))))))))))) -> 2'(1'(2'(0'(0'(1'(2'(0'(1'(2'(0'(0'(0'(2'(2'(0'(2'(0'(1'(0'(0'(0'(2'(0'(0'(2'(2'(0'(2'(2'(2'(0'(0'(2'(0'(1'(0'(2'(0'(1'(0'(x1))))))))))))))))))))))))))))))))))))))))) [1] 0'(c_0(c_2(c_0(c_2(c_1(c_1(c_2(c_0(c_2(c_1(c_1(c_2(c_0(c_1(c_0(c_1(c_2(c_1(c_1(c_1(c_0(c_0(c_0(c_0(c_2(c_2(c_1(c_2(c_0(x1)))))))))))))))))))))))))))))) -> 0'(0'(2'(0'(1'(1'(1'(0'(0'(2'(1'(1'(2'(0'(0'(2'(2'(0'(1'(1'(1'(2'(0'(2'(0'(2'(1'(2'(1'(0'(x1)))))))))))))))))))))))))))))) [1] 2'(c_2(c_0(c_0(c_2(c_1(c_0(c_1(x1)))))))) -> 1'(2'(2'(0'(0'(1'(2'(0'(x1)))))))) [1] 1'(c_0(c_1(c_0(c_2(c_2(c_2(c_2(c_0(c_1(c_1(c_0(c_1(c_2(c_2(c_0(c_2(c_1(c_0(c_1(c_1(x1))))))))))))))))))))) -> 2'(0'(0'(0'(2'(2'(1'(2'(0'(2'(0'(1'(0'(0'(2'(0'(2'(0'(0'(2'(1'(0'(x1)))))))))))))))))))))) [1] 1'(c_0(c_0(c_1(c_2(c_0(c_0(c_0(c_1(c_1(c_1(c_1(c_2(c_2(c_2(c_2(c_2(c_1(c_1(c_2(c_1(c_0(c_1(c_0(c_1(c_0(x1)))))))))))))))))))))))))) -> 1'(0'(1'(0'(2'(2'(0'(2'(0'(1'(1'(2'(2'(1'(2'(2'(2'(2'(0'(0'(1'(1'(0'(1'(0'(2'(0'(x1))))))))))))))))))))))))))) [1] 2'(c_1(c_2(c_1(c_2(c_2(c_2(c_0(c_2(c_2(c_0(c_2(c_2(c_1(c_2(c_1(c_1(c_0(c_0(c_1(c_0(c_1(c_0(c_2(c_1(c_1(c_0(c_2(c_0(c_0(c_2(c_1(c_1(c_1(x1)))))))))))))))))))))))))))))))))) -> 1'(2'(2'(2'(0'(2'(0'(2'(1'(2'(0'(0'(0'(1'(1'(0'(1'(2'(0'(0'(0'(2'(0'(0'(0'(1'(0'(2'(2'(2'(2'(1'(0'(2'(2'(x1))))))))))))))))))))))))))))))))))) [1] 2'(c_1(c_2(c_1(c_2(c_1(c_2(c_1(c_0(c_1(c_0(c_2(c_2(c_0(c_0(c_1(c_2(c_2(c_1(c_2(c_1(c_0(c_1(c_0(c_2(c_1(c_2(c_2(c_2(c_1(c_1(c_1(c_2(c_0(c_1(c_1(c_0(x1))))))))))))))))))))))))))))))))))))) -> 1'(0'(1'(2'(1'(2'(1'(2'(2'(2'(1'(0'(2'(1'(0'(0'(2'(0'(0'(0'(2'(0'(1'(0'(1'(1'(2'(2'(0'(1'(1'(0'(2'(0'(0'(2'(0'(1'(0'(1'(x1)))))))))))))))))))))))))))))))))))))))) [1] 2'(c_2(c_0(c_2(c_2(c_1(c_2(c_0(c_2(c_2(c_2(c_1(c_1(c_0(c_2(c_1(c_1(c_1(c_2(c_2(c_0(c_1(c_0(c_1(c_0(c_1(c_0(c_0(c_1(c_2(c_0(c_0(c_2(c_2(c_0(c_0(c_2(c_1(c_1(c_1(c_1(c_2(x1)))))))))))))))))))))))))))))))))))))))))) -> 0'(1'(2'(2'(0'(2'(0'(0'(0'(2'(0'(2'(1'(2'(0'(0'(1'(0'(2'(0'(0'(2'(0'(1'(1'(2'(1'(1'(0'(2'(1'(2'(1'(2'(0'(0'(0'(1'(2'(0'(0'(1'(0'(x1))))))))))))))))))))))))))))))))))))))))))) [1] 2'(c_1(c_1(c_1(c_2(c_2(c_0(c_2(c_0(c_0(c_0(c_0(c_1(c_1(c_2(c_0(c_2(c_2(c_0(c_0(c_2(c_2(c_2(c_0(c_0(c_2(c_1(c_0(c_2(c_1(c_0(c_2(c_1(c_2(x1)))))))))))))))))))))))))))))))))) -> 1'(0'(2'(0'(2'(0'(0'(0'(0'(2'(2'(0'(0'(2'(0'(0'(2'(0'(2'(1'(0'(0'(2'(0'(1'(2'(0'(0'(0'(1'(2'(1'(1'(2'(0'(2'(x1)))))))))))))))))))))))))))))))))))) [1] 0'(c_2(c_0(c_0(c_1(c_0(c_0(c_2(c_2(c_2(c_0(c_1(c_1(c_1(c_1(c_2(c_2(c_0(c_0(c_0(c_0(c_2(c_0(c_1(c_2(c_1(c_0(c_1(c_2(c_1(c_2(c_2(c_2(c_0(c_0(c_0(c_0(c_1(c_0(c_0(x1)))))))))))))))))))))))))))))))))))))))) -> 0'(1'(0'(0'(2'(0'(2'(0'(0'(2'(1'(0'(0'(2'(2'(1'(1'(2'(2'(2'(1'(2'(0'(1'(1'(2'(0'(2'(0'(2'(1'(2'(0'(2'(0'(1'(2'(0'(2'(1'(0'(0'(1'(x1))))))))))))))))))))))))))))))))))))))))))) [1] 2'(c_1(c_0(c_0(c_1(c_0(c_2(c_2(c_1(c_1(c_1(c_0(c_1(c_2(c_0(c_1(c_0(c_2(c_1(c_0(c_0(c_2(c_2(c_1(c_1(c_1(c_2(c_2(c_0(c_0(c_0(c_0(c_1(c_1(c_2(c_1(c_0(c_1(c_2(c_2(x1)))))))))))))))))))))))))))))))))))))))) -> 2'(2'(0'(0'(1'(2'(0'(2'(1'(2'(1'(1'(1'(2'(2'(1'(0'(0'(1'(0'(0'(2'(0'(1'(2'(1'(2'(1'(0'(2'(0'(2'(0'(1'(1'(1'(0'(1'(1'(0'(x1)))))))))))))))))))))))))))))))))))))))) [1] 2'(c_1(c_0(c_2(c_1(c_0(c_2(c_2(c_2(c_2(c_0(c_0(c_0(c_1(c_1(c_1(c_2(c_2(c_0(c_2(c_2(c_2(c_0(c_1(c_0(c_2(c_1(c_0(c_1(c_1(c_2(c_2(c_2(c_0(c_0(x1))))))))))))))))))))))))))))))))))) -> 0'(2'(0'(1'(2'(1'(1'(0'(2'(2'(0'(0'(0'(0'(2'(0'(1'(0'(2'(1'(2'(2'(0'(1'(0'(1'(0'(1'(2'(0'(0'(2'(2'(0'(1'(0'(x1)))))))))))))))))))))))))))))))))))) [1] 2'(c_1(c_2(c_0(c_1(c_0(c_0(c_1(c_1(c_0(c_2(c_1(c_1(c_0(c_1(c_2(c_1(c_1(c_2(c_1(c_0(c_2(c_2(c_2(c_1(c_1(c_1(c_0(c_1(c_0(c_2(c_0(c_1(c_2(c_1(c_1(c_0(c_2(c_2(c_0(x1)))))))))))))))))))))))))))))))))))))))) -> 2'(0'(0'(2'(0'(0'(1'(2'(2'(2'(2'(2'(1'(2'(0'(2'(0'(1'(2'(1'(0'(0'(1'(1'(0'(1'(1'(1'(2'(0'(2'(0'(2'(1'(0'(1'(2'(0'(1'(2'(0'(1'(x1)))))))))))))))))))))))))))))))))))))))))) [1] 1'(c_0(c_2(c_1(c_0(c_0(c_1(c_0(c_1(c_2(x1)))))))))) -> 1'(2'(0'(0'(1'(1'(0'(0'(1'(2'(x1)))))))))) [1] 2'(c_1(c_1(c_1(c_0(c_1(c_0(c_0(c_1(c_0(c_1(c_1(c_0(c_1(c_0(c_2(c_0(c_0(c_0(c_1(c_1(c_1(c_2(c_2(c_0(c_1(c_2(c_2(x1)))))))))))))))))))))))))))) -> 2'(0'(0'(1'(2'(1'(1'(2'(0'(2'(0'(1'(1'(1'(1'(2'(0'(1'(2'(1'(2'(2'(2'(2'(2'(2'(0'(2'(2'(x1))))))))))))))))))))))))))))) [1] 2'(c_2(c_2(c_1(c_0(c_0(c_1(c_0(c_0(c_1(c_2(c_1(c_1(c_2(c_1(c_2(c_0(c_1(c_1(c_0(c_1(c_2(c_0(c_1(c_2(c_2(c_1(c_0(c_1(c_0(c_0(c_1(c_2(c_1(c_1(x1))))))))))))))))))))))))))))))))))) -> 0'(0'(2'(0'(0'(0'(1'(2'(1'(2'(0'(1'(1'(0'(2'(0'(1'(0'(1'(2'(0'(0'(1'(1'(2'(0'(0'(1'(1'(0'(2'(2'(0'(2'(2'(1'(1'(x1))))))))))))))))))))))))))))))))))))) [1] 1'(c_1(c_1(c_0(c_1(c_2(c_2(c_2(c_2(c_0(c_1(c_0(c_2(c_2(c_0(c_0(c_0(c_1(c_2(c_0(c_0(c_0(c_2(c_2(c_1(c_0(c_0(c_0(c_0(c_1(c_1(c_0(c_0(c_0(c_1(x1))))))))))))))))))))))))))))))))))) -> 1'(1'(1'(1'(2'(0'(1'(1'(1'(0'(1'(0'(2'(0'(0'(1'(1'(2'(1'(0'(2'(2'(0'(0'(0'(0'(1'(2'(0'(1'(0'(0'(2'(0'(1'(2'(0'(x1))))))))))))))))))))))))))))))))))))) [1] 0'(c_1(c_0(c_0(c_2(c_2(c_0(c_1(c_0(c_1(c_2(c_1(c_2(c_2(c_2(c_1(c_0(c_1(c_2(c_1(c_0(c_1(c_1(c_1(c_2(c_0(c_2(c_1(x1)))))))))))))))))))))))))))) -> 0'(0'(2'(0'(0'(2'(2'(0'(0'(1'(1'(2'(1'(1'(1'(2'(0'(0'(1'(1'(2'(0'(2'(0'(2'(2'(1'(2'(2'(x1))))))))))))))))))))))))))))) [1] 1'(c_2(c_2(c_2(c_1(c_0(c_0(c_2(c_0(c_0(c_1(c_1(c_1(c_2(c_1(c_1(c_1(c_2(c_2(c_1(c_2(c_0(c_2(c_1(c_0(c_1(c_2(c_1(c_1(c_1(c_2(c_2(x1)))))))))))))))))))))))))))))))) -> 1'(1'(1'(2'(1'(0'(2'(1'(0'(2'(1'(1'(2'(2'(1'(2'(1'(1'(1'(2'(1'(0'(2'(0'(0'(2'(0'(2'(2'(1'(1'(2'(x1)))))))))))))))))))))))))))))))) [1] 1'(c_1(c_2(c_1(c_0(c_2(c_2(c_1(c_2(c_2(c_2(c_0(c_1(c_1(c_0(c_0(c_2(c_1(c_0(c_1(c_2(c_2(c_2(c_1(c_1(c_1(c_2(c_0(c_0(c_0(c_1(c_1(c_0(c_1(c_1(c_1(c_2(c_0(x1)))))))))))))))))))))))))))))))))))))) -> 2'(0'(0'(2'(0'(2'(1'(0'(0'(1'(0'(0'(0'(1'(1'(1'(0'(2'(1'(0'(1'(2'(0'(0'(1'(1'(2'(2'(1'(0'(0'(2'(0'(0'(1'(2'(1'(0'(1'(x1))))))))))))))))))))))))))))))))))))))) [1] 2'(c_2(c_1(c_0(c_0(c_2(c_1(c_2(c_0(c_0(c_0(c_2(c_1(c_0(c_2(c_0(c_2(c_1(c_2(c_2(c_2(c_0(c_1(c_2(c_2(c_0(c_0(c_0(c_1(c_0(c_2(c_2(c_2(c_1(c_0(c_1(c_2(c_1(c_0(c_0(c_2(c_0(c_1(c_0(c_1(x1))))))))))))))))))))))))))))))))))))))))))))) -> 2'(1'(1'(2'(1'(1'(1'(0'(2'(0'(1'(1'(1'(2'(0'(0'(2'(2'(1'(2'(2'(2'(2'(0'(2'(0'(1'(1'(0'(1'(2'(2'(2'(1'(1'(2'(1'(1'(1'(0'(0'(0'(2'(0'(1'(0'(x1)))))))))))))))))))))))))))))))))))))))))))))) [1] 1'(c_2(c_0(c_1(c_0(c_0(c_0(c_1(c_2(c_2(c_1(c_1(c_2(c_0(c_1(c_0(c_1(c_1(c_0(x1))))))))))))))))))) -> 2'(0'(2'(1'(0'(2'(2'(2'(0'(0'(0'(2'(2'(2'(2'(0'(2'(0'(2'(0'(x1)))))))))))))))))))) [1] 0'(c_0(c_1(c_1(c_0(c_0(c_0(c_1(x1)))))))) -> 0'(2'(0'(1'(0'(1'(1'(1'(1'(x1))))))))) [1] 0'(c_0(c_1(c_1(c_1(c_1(c_2(c_2(c_0(c_0(c_2(c_1(c_2(c_2(c_1(c_0(c_2(c_1(c_0(c_0(c_1(c_1(c_0(c_2(c_0(c_2(c_2(c_2(c_2(c_0(c_2(c_1(x1)))))))))))))))))))))))))))))))) -> 0'(0'(1'(1'(1'(2'(1'(2'(2'(0'(0'(1'(2'(2'(1'(2'(2'(1'(2'(0'(1'(0'(2'(0'(0'(2'(0'(2'(1'(0'(2'(1'(x1)))))))))))))))))))))))))))))))) [1] 1'(c_1(c_0(c_1(c_2(c_2(c_2(c_2(c_0(c_2(c_1(c_1(x1)))))))))))) -> 1'(1'(0'(1'(2'(2'(0'(2'(0'(1'(2'(2'(2'(x1))))))))))))) [1] 2'(c_2(c_2(c_0(c_2(c_1(c_2(c_1(c_0(c_0(c_0(c_0(c_1(c_2(c_2(c_1(c_0(c_2(c_2(c_1(c_1(c_0(c_0(c_0(c_2(c_0(c_0(c_0(c_1(c_0(c_2(c_1(c_2(c_2(c_1(c_1(c_0(c_2(c_1(x1))))))))))))))))))))))))))))))))))))))) -> 1'(2'(0'(1'(1'(2'(0'(2'(2'(0'(2'(1'(0'(2'(0'(2'(0'(1'(1'(0'(1'(2'(2'(1'(0'(1'(0'(0'(0'(2'(0'(2'(2'(1'(0'(0'(0'(1'(0'(1'(x1)))))))))))))))))))))))))))))))))))))))) [1] 2'(c_2(c_2(c_2(c_0(c_2(c_2(c_2(c_2(c_0(c_1(c_2(c_1(c_1(c_0(c_2(c_1(c_1(c_2(c_1(c_0(c_1(c_0(c_1(c_0(c_0(c_0(c_0(c_2(c_0(c_0(c_1(c_2(c_1(c_2(c_1(c_1(c_0(c_0(c_1(c_2(c_0(c_1(x1))))))))))))))))))))))))))))))))))))))))))) -> 2'(0'(1'(2'(1'(2'(0'(2'(0'(1'(2'(0'(1'(1'(0'(2'(2'(0'(0'(1'(1'(2'(2'(1'(1'(1'(2'(1'(2'(2'(0'(2'(2'(1'(0'(1'(1'(1'(1'(1'(0'(1'(2'(0'(x1)))))))))))))))))))))))))))))))))))))))))))) [1] 2'(c_1(c_2(c_2(c_2(c_1(c_1(c_1(c_1(c_1(c_1(c_0(c_1(c_0(c_0(c_2(c_2(c_2(c_0(c_1(c_1(c_1(c_0(c_2(c_1(c_1(c_2(c_1(c_2(c_0(c_0(c_0(c_0(c_2(c_1(c_1(c_0(c_2(c_1(c_1(c_0(c_0(c_0(c_1(c_0(c_0(c_1(x1))))))))))))))))))))))))))))))))))))))))))))))) -> 0'(2'(2'(2'(1'(2'(1'(2'(0'(1'(1'(1'(1'(1'(2'(2'(0'(0'(0'(2'(2'(2'(1'(1'(0'(1'(1'(0'(1'(1'(1'(2'(0'(0'(2'(0'(1'(1'(2'(2'(2'(1'(0'(2'(2'(2'(2'(2'(0'(x1))))))))))))))))))))))))))))))))))))))))))))))))) [1] 0'(c_1(c_2(c_1(c_1(c_1(c_0(c_2(c_0(c_2(x1)))))))))) -> 0'(2'(0'(2'(0'(2'(0'(2'(0'(1'(2'(x1))))))))))) [1] 1'(c_2(c_2(c_0(c_1(c_2(c_2(c_2(c_0(c_1(c_1(c_1(c_2(c_1(c_1(c_0(c_0(c_1(c_2(c_1(c_2(c_2(c_2(c_1(c_0(c_0(c_0(c_0(c_1(c_1(c_2(c_1(c_0(c_0(c_1(c_0(c_2(c_1(c_1(x1))))))))))))))))))))))))))))))))))))))) -> 1'(2'(2'(1'(2'(1'(1'(1'(1'(1'(2'(2'(1'(1'(1'(0'(2'(2'(2'(0'(2'(0'(0'(2'(2'(0'(0'(0'(2'(0'(2'(0'(2'(2'(2'(1'(0'(2'(0'(2'(2'(x1))))))))))))))))))))))))))))))))))))))))) [1] 0'(c_1(c_0(c_0(c_2(c_1(c_0(c_1(c_1(c_1(c_1(c_1(c_0(c_1(c_0(c_1(c_0(c_2(c_2(c_0(c_2(c_2(c_1(c_2(c_2(c_2(c_1(c_0(c_0(c_2(c_2(x1))))))))))))))))))))))))))))))) -> 0'(0'(2'(1'(1'(2'(0'(1'(2'(2'(2'(0'(2'(1'(2'(2'(0'(2'(1'(0'(0'(1'(2'(0'(0'(2'(0'(1'(0'(2'(0'(2'(x1)))))))))))))))))))))))))))))))) [1] 2'(c_1(c_2(c_2(c_0(c_2(c_2(c_0(c_0(c_2(c_1(c_1(c_2(c_2(c_1(c_2(c_2(c_0(c_1(c_0(c_1(c_1(x1)))))))))))))))))))))) -> 1'(0'(1'(1'(2'(1'(1'(2'(1'(0'(0'(0'(1'(0'(0'(2'(0'(0'(2'(0'(1'(0'(1'(x1))))))))))))))))))))))) [1] 2'(c_2(c_1(c_1(c_0(c_2(c_1(c_1(c_1(c_2(c_1(c_2(c_2(c_2(c_2(c_1(c_2(c_1(c_0(c_2(c_2(x1))))))))))))))))))))) -> 1'(2'(1'(2'(2'(0'(0'(2'(0'(0'(0'(2'(2'(1'(0'(2'(0'(0'(2'(0'(2'(1'(x1)))))))))))))))))))))) [1] 1'(c_1(c_2(c_1(c_1(c_0(c_2(c_0(c_2(c_0(c_0(c_0(c_1(c_0(c_1(c_1(c_1(c_1(c_2(c_2(c_1(c_1(c_0(c_2(c_2(c_2(c_0(c_2(c_1(c_0(c_1(c_2(c_0(c_0(c_0(x1))))))))))))))))))))))))))))))))))) -> 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1'(1'(2'(1'(1'(1'(0'(1'(2'(0'(0'(1'(2'(2'(0'(2'(0'(0'(2'(0'(1'(0'(2'(0'(0'(1'(0'(0'(0'(2'(0'(2'(1'(2'(2'(0'(1'(x1))))))))))))))))))))))))))))))))))))) [1] 1'(c_2(c_1(c_0(c_0(c_1(c_1(c_0(c_1(c_0(c_2(c_1(c_2(c_0(c_2(c_0(c_1(c_1(c_2(c_1(c_2(c_0(c_1(c_1(c_0(c_0(c_0(c_1(x1)))))))))))))))))))))))))))) -> 1'(1'(1'(1'(2'(0'(2'(0'(0'(1'(2'(0'(0'(0'(0'(2'(2'(1'(0'(0'(2'(0'(1'(2'(0'(1'(2'(0'(0'(x1))))))))))))))))))))))))))))) [1] 0'(c_2(c_2(c_2(c_0(c_1(c_1(c_2(c_1(c_1(c_2(c_2(c_1(c_1(c_1(c_2(c_2(c_1(c_1(c_1(c_1(c_0(c_2(c_1(c_1(c_0(c_0(c_2(c_0(c_1(c_2(c_2(c_1(c_1(c_0(c_0(c_0(c_1(c_1(c_0(c_0(c_0(x1)))))))))))))))))))))))))))))))))))))))))) -> 0'(0'(1'(0'(2'(2'(0'(2'(0'(0'(2'(0'(2'(0'(1'(2'(0'(2'(0'(2'(0'(0'(1'(1'(2'(1'(0'(1'(0'(1'(2'(2'(0'(2'(2'(1'(0'(0'(2'(0'(2'(1'(0'(x1))))))))))))))))))))))))))))))))))))))))))) [1] 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0'(2'(1'(2'(0'(2'(0'(1'(0'(1'(0'(0'(1'(2'(0'(2'(2'(1'(0'(2'(1'(2'(0'(0'(1'(2'(1'(2'(2'(2'(1'(2'(1'(1'(1'(x1))))))))))))))))))))))))))))))))))) [1] 2'(c_2(c_0(c_1(c_2(c_1(c_2(c_1(c_0(c_2(c_1(c_1(c_0(c_0(c_1(c_0(c_1(c_2(c_1(c_1(c_0(c_1(c_0(c_2(c_1(c_1(c_2(c_0(c_0(c_0(x1)))))))))))))))))))))))))))))) -> 1'(0'(0'(1'(0'(0'(2'(1'(2'(2'(1'(0'(2'(1'(2'(2'(1'(0'(1'(1'(2'(1'(0'(2'(0'(1'(2'(2'(0'(2'(0'(x1))))))))))))))))))))))))))))))) [1] 2'(c_1(c_1(c_2(c_0(c_2(c_0(c_2(c_0(c_1(c_1(c_0(c_2(c_2(c_2(c_2(c_1(c_1(c_1(c_0(c_0(c_0(c_1(c_1(c_0(c_0(c_0(c_1(c_2(c_0(c_0(c_0(c_0(c_1(c_0(c_1(c_2(c_1(c_2(c_2(c_0(c_1(x1)))))))))))))))))))))))))))))))))))))))))) -> 2'(2'(2'(0'(0'(1'(2'(0'(0'(2'(0'(1'(1'(0'(2'(0'(1'(2'(0'(1'(0'(0'(2'(0'(2'(1'(1'(0'(2'(1'(0'(0'(2'(2'(1'(2'(2'(2'(0'(1'(1'(2'(0'(2'(0'(x1))))))))))))))))))))))))))))))))))))))))))))) [1] 2'(c_1(c_2(c_0(c_2(c_2(c_0(c_2(c_0(c_0(c_1(c_0(c_1(c_0(c_0(c_1(c_0(c_2(c_2(c_1(c_0(c_2(c_1(c_1(c_0(c_2(c_1(c_1(c_0(c_1(c_2(c_2(c_0(c_0(c_0(c_1(c_2(c_1(c_2(c_0(c_1(c_1(c_1(c_2(c_1(c_1(c_0(x1))))))))))))))))))))))))))))))))))))))))))))))) -> 0'(2'(2'(0'(1'(2'(1'(0'(2'(0'(2'(0'(0'(1'(2'(2'(1'(1'(2'(2'(2'(0'(1'(2'(0'(0'(2'(2'(0'(0'(0'(1'(2'(2'(1'(2'(2'(1'(0'(2'(1'(1'(1'(1'(0'(1'(0'(2'(0'(x1))))))))))))))))))))))))))))))))))))))))))))))))) [1] 2'(c_2(c_2(c_0(c_1(c_1(c_1(c_1(c_1(c_1(c_0(c_2(c_1(c_1(c_0(c_0(c_0(c_1(c_1(c_2(c_2(c_2(c_2(c_2(c_2(c_2(c_2(c_0(c_0(c_1(c_0(c_2(c_0(c_1(x1)))))))))))))))))))))))))))))))))) -> 0'(1'(0'(0'(1'(0'(0'(1'(2'(0'(2'(0'(2'(0'(2'(0'(2'(2'(1'(0'(2'(1'(1'(1'(1'(1'(1'(0'(1'(0'(1'(1'(0'(0'(0'(x1))))))))))))))))))))))))))))))))))) [1] 2'(c_0(c_2(c_2(c_1(c_2(c_1(c_2(c_2(c_2(c_0(c_1(c_0(c_2(c_2(c_1(c_0(c_0(c_0(c_1(c_2(c_0(c_1(c_2(c_1(c_0(c_0(c_2(c_2(c_0(c_2(c_1(c_1(c_1(c_0(c_0(c_1(x1))))))))))))))))))))))))))))))))))))) -> 1'(2'(2'(0'(0'(0'(1'(1'(0'(2'(0'(2'(0'(0'(2'(0'(1'(1'(2'(0'(2'(0'(1'(2'(1'(2'(1'(2'(1'(0'(2'(2'(2'(1'(0'(1'(0'(1'(0'(x1))))))))))))))))))))))))))))))))))))))) [1] 2'(c_2(c_2(c_0(c_0(c_2(c_0(c_2(c_1(c_2(c_1(c_2(c_1(c_0(c_1(c_1(c_2(c_1(c_1(c_2(c_0(c_1(c_0(c_1(c_0(c_0(c_1(c_1(c_2(c_1(c_1(c_2(c_2(c_1(c_1(c_1(c_1(c_0(c_1(x1))))))))))))))))))))))))))))))))))))))) -> 1'(0'(2'(1'(1'(2'(1'(1'(2'(0'(0'(2'(2'(0'(2'(0'(1'(2'(1'(0'(2'(0'(1'(2'(1'(2'(2'(2'(2'(0'(2'(2'(2'(1'(0'(2'(0'(0'(1'(1'(x1)))))))))))))))))))))))))))))))))))))))) [1] 1'(c_1(c_1(c_2(c_0(c_1(c_0(c_1(c_0(c_1(c_1(c_1(c_2(c_1(c_1(c_2(c_1(c_2(c_2(c_1(c_1(c_2(c_1(c_1(c_2(c_1(c_2(c_0(c_0(c_2(c_2(c_2(c_1(c_2(c_0(c_0(c_0(c_0(c_1(c_1(c_0(c_0(x1)))))))))))))))))))))))))))))))))))))))))) -> 1'(2'(1'(0'(1'(2'(0'(1'(0'(2'(0'(2'(2'(2'(0'(1'(1'(1'(1'(2'(1'(0'(2'(2'(1'(0'(2'(2'(1'(1'(0'(2'(1'(2'(0'(2'(0'(2'(1'(0'(0'(0'(0'(x1))))))))))))))))))))))))))))))))))))))))))) [1] 0'(c_2(c_2(c_2(c_1(c_2(c_0(c_2(c_1(c_0(c_1(c_2(c_2(c_0(c_1(c_1(c_0(c_2(c_0(c_0(c_1(c_2(c_2(c_2(c_0(c_0(c_2(c_0(c_2(c_2(c_1(c_0(c_0(c_1(c_0(c_0(x1)))))))))))))))))))))))))))))))))))) -> 0'(0'(0'(2'(0'(0'(0'(2'(2'(2'(0'(1'(0'(2'(1'(2'(2'(0'(1'(2'(2'(0'(0'(0'(1'(0'(0'(0'(2'(0'(1'(1'(0'(2'(0'(2'(0'(x1))))))))))))))))))))))))))))))))))))) [1] 1'(c_2(c_1(c_1(c_1(c_2(c_1(c_0(c_2(c_2(c_0(c_1(c_2(c_0(c_0(c_1(c_0(c_0(c_2(c_1(c_2(c_1(c_2(c_1(c_0(c_1(c_0(c_2(c_1(c_0(x1)))))))))))))))))))))))))))))) -> 1'(0'(1'(0'(0'(0'(2'(0'(1'(1'(1'(2'(2'(2'(2'(1'(0'(2'(0'(2'(2'(1'(1'(0'(1'(2'(2'(1'(1'(1'(0'(x1))))))))))))))))))))))))))))))) [1] 1'(c_0(c_1(c_2(c_0(c_1(c_0(c_2(c_2(c_1(c_2(c_2(c_0(c_0(c_0(c_2(c_1(c_1(c_2(c_0(c_2(c_1(c_1(c_1(c_0(c_1(c_0(c_0(c_0(c_2(c_1(c_1(c_2(c_1(c_0(c_0(x1)))))))))))))))))))))))))))))))))))) -> 1'(1'(2'(1'(0'(2'(1'(1'(2'(0'(2'(1'(1'(1'(2'(2'(0'(2'(1'(2'(2'(1'(1'(1'(0'(1'(0'(2'(0'(0'(0'(2'(0'(2'(0'(0'(1'(x1))))))))))))))))))))))))))))))))))))) [1] 0'(c_2(c_1(c_1(c_1(c_0(c_2(c_1(c_1(c_0(c_0(c_2(c_1(c_0(c_2(c_1(c_1(c_0(c_2(c_2(c_1(c_0(c_2(c_0(c_1(c_0(c_2(c_1(c_0(c_1(c_1(c_2(c_2(c_1(c_0(c_1(c_2(c_2(c_0(c_0(x1)))))))))))))))))))))))))))))))))))))))) -> 0'(2'(1'(2'(2'(2'(2'(1'(1'(1'(1'(1'(2'(0'(0'(2'(0'(2'(0'(0'(2'(1'(1'(1'(0'(2'(0'(2'(2'(2'(1'(1'(1'(0'(0'(0'(1'(2'(2'(0'(2'(0'(x1)))))))))))))))))))))))))))))))))))))))))) [1] 2'(c_2(c_1(c_2(c_1(c_1(c_0(c_0(c_0(c_0(c_1(c_2(c_1(c_1(c_1(c_0(c_0(c_1(c_1(c_0(c_0(c_2(c_0(c_1(c_1(c_1(c_0(c_2(c_2(c_1(c_2(c_0(c_0(c_1(c_0(c_0(c_1(x1))))))))))))))))))))))))))))))))))))) -> 2'(0'(1'(2'(0'(2'(0'(1'(1'(0'(0'(1'(0'(1'(0'(2'(0'(1'(0'(2'(2'(2'(1'(2'(1'(0'(2'(0'(2'(0'(0'(2'(0'(1'(1'(1'(2'(0'(0'(2'(1'(0'(x1)))))))))))))))))))))))))))))))))))))))))) [1] 2'(c_1(c_2(c_0(c_0(c_2(c_1(c_0(c_1(c_2(c_1(c_2(c_0(c_0(c_0(c_0(c_1(c_1(c_1(c_0(c_2(c_0(c_1(c_0(c_2(c_1(c_2(c_1(c_2(c_0(c_2(c_1(c_1(c_1(c_1(c_0(c_1(c_0(c_0(c_1(c_1(c_0(x1)))))))))))))))))))))))))))))))))))))))))) -> 2'(2'(1'(1'(1'(1'(2'(2'(0'(2'(1'(1'(1'(2'(2'(1'(0'(1'(0'(1'(2'(0'(2'(2'(2'(1'(1'(2'(0'(1'(2'(0'(1'(0'(0'(2'(1'(0'(2'(0'(1'(0'(1'(x1))))))))))))))))))))))))))))))))))))))))))) [1] 0'(c_0(c_0(c_2(c_2(c_0(c_2(c_1(c_1(c_0(c_0(c_2(c_2(c_1(c_2(c_0(c_1(c_0(c_1(c_0(c_1(c_1(c_0(c_0(x1)))))))))))))))))))))))) -> 0'(0'(1'(0'(2'(0'(0'(1'(2'(2'(2'(2'(2'(1'(0'(1'(2'(1'(2'(0'(1'(1'(1'(1'(1'(x1))))))))))))))))))))))))) [1] 0'(c_1(c_1(c_1(c_0(c_1(c_0(c_0(c_2(c_1(c_0(c_0(c_1(c_0(c_0(c_0(c_0(c_1(c_1(c_2(c_1(c_1(c_1(c_0(c_0(c_0(c_1(c_2(c_0(c_2(c_2(c_2(c_2(c_0(c_2(c_0(c_0(x1))))))))))))))))))))))))))))))))))))) -> 0'(0'(2'(0'(1'(2'(0'(0'(1'(2'(0'(2'(1'(1'(0'(2'(1'(2'(2'(2'(2'(2'(0'(0'(1'(0'(1'(1'(2'(0'(0'(1'(1'(1'(1'(1'(2'(0'(x1)))))))))))))))))))))))))))))))))))))) [1] encArg(cons_0(x_1)) -> 0'(encArg(x_1)) [0] encArg(cons_2(x_1)) -> 2'(encArg(x_1)) [0] encArg(cons_1(x_1)) -> 1'(encArg(x_1)) [0] encode_0(x_1) -> 0'(encArg(x_1)) [0] encode_1(x_1) -> 1'(encArg(x_1)) [0] encode_2(x_1) -> 2'(encArg(x_1)) [0] 0'(x0) -> c_0(x0) [0] 1'(x0) -> c_1(x0) [0] 2'(x0) -> c_2(x0) [0] The TRS has the following type information: 0' :: c_1:c_2:c_0 -> c_1:c_2:c_0 c_1 :: c_1:c_2:c_0 -> c_1:c_2:c_0 c_0 :: c_1:c_2:c_0 -> c_1:c_2:c_0 c_2 :: c_1:c_2:c_0 -> c_1:c_2:c_0 2' :: c_1:c_2:c_0 -> c_1:c_2:c_0 1' :: c_1:c_2:c_0 -> c_1:c_2:c_0 encArg :: cons_0:cons_2:cons_1 -> c_1:c_2:c_0 cons_0 :: cons_0:cons_2:cons_1 -> cons_0:cons_2:cons_1 cons_2 :: cons_0:cons_2:cons_1 -> cons_0:cons_2:cons_1 cons_1 :: cons_0:cons_2:cons_1 -> cons_0:cons_2:cons_1 encode_0 :: cons_0:cons_2:cons_1 -> c_1:c_2:c_0 encode_1 :: cons_0:cons_2:cons_1 -> c_1:c_2:c_0 encode_2 :: cons_0:cons_2:cons_1 -> c_1:c_2:c_0 Rewrite Strategy: INNERMOST ---------------------------------------- (23) CompletionProof (UPPER BOUND(ID)) The transformation into a RNTS is sound, since: (a) The obligation is a constructor system where every type has a constant constructor, (b) The following defined symbols do not have to be completely defined, as they can never occur inside other defined symbols: none (c) The following functions are completely defined: encArg_1 encode_0_1 encode_1_1 encode_2_1 0'_1 1'_1 2'_1 Due to the following rules being added: encArg(v0) -> const [0] encode_0(v0) -> const [0] encode_1(v0) -> const [0] encode_2(v0) -> const [0] 0'(v0) -> const [0] 1'(v0) -> const [0] 2'(v0) -> const [0] And the following fresh constants: const, const1 ---------------------------------------- (24) Obligation: Runtime Complexity Weighted TRS where critical functions are completely defined. The underlying TRS is: Runtime Complexity Weighted TRS with Types. The TRS R consists of the following rules: 0'(c_1(c_0(c_1(c_1(c_0(c_1(c_2(c_2(c_1(c_1(c_1(c_0(c_2(c_1(c_1(c_1(x1))))))))))))))))) -> 0'(2'(1'(1'(0'(2'(2'(0'(2'(2'(0'(0'(2'(0'(1'(2'(1'(2'(x1)))))))))))))))))) [1] 2'(c_1(c_1(c_0(c_0(c_0(c_1(c_1(c_2(c_2(c_1(c_2(c_1(c_2(c_1(c_2(c_2(c_0(c_1(c_0(c_0(c_0(c_1(c_2(c_0(c_0(c_1(c_1(c_2(x1))))))))))))))))))))))))))))) -> 0'(2'(1'(2'(2'(0'(1'(0'(1'(2'(0'(0'(1'(1'(1'(0'(1'(1'(1'(1'(2'(0'(2'(2'(0'(2'(1'(0'(2'(x1))))))))))))))))))))))))))))) [1] 2'(c_1(c_0(c_0(c_1(c_0(c_0(c_1(c_2(c_2(c_0(c_2(c_2(c_1(c_0(c_0(c_0(c_2(c_2(c_1(c_1(c_2(c_0(c_1(c_2(c_0(c_0(c_1(c_2(c_0(c_2(c_1(c_0(c_2(c_2(c_0(c_1(c_1(c_1(x1))))))))))))))))))))))))))))))))))))))) -> 2'(1'(2'(0'(0'(1'(2'(0'(1'(2'(0'(0'(0'(2'(2'(0'(2'(0'(1'(0'(0'(0'(2'(0'(0'(2'(2'(0'(2'(2'(2'(0'(0'(2'(0'(1'(0'(2'(0'(1'(0'(x1))))))))))))))))))))))))))))))))))))))))) [1] 0'(c_0(c_2(c_0(c_2(c_1(c_1(c_2(c_0(c_2(c_1(c_1(c_2(c_0(c_1(c_0(c_1(c_2(c_1(c_1(c_1(c_0(c_0(c_0(c_0(c_2(c_2(c_1(c_2(c_0(x1)))))))))))))))))))))))))))))) -> 0'(0'(2'(0'(1'(1'(1'(0'(0'(2'(1'(1'(2'(0'(0'(2'(2'(0'(1'(1'(1'(2'(0'(2'(0'(2'(1'(2'(1'(0'(x1)))))))))))))))))))))))))))))) [1] 2'(c_2(c_0(c_0(c_2(c_1(c_0(c_1(x1)))))))) -> 1'(2'(2'(0'(0'(1'(2'(0'(x1)))))))) [1] 1'(c_0(c_1(c_0(c_2(c_2(c_2(c_2(c_0(c_1(c_1(c_0(c_1(c_2(c_2(c_0(c_2(c_1(c_0(c_1(c_1(x1))))))))))))))))))))) -> 2'(0'(0'(0'(2'(2'(1'(2'(0'(2'(0'(1'(0'(0'(2'(0'(2'(0'(0'(2'(1'(0'(x1)))))))))))))))))))))) [1] 1'(c_0(c_0(c_1(c_2(c_0(c_0(c_0(c_1(c_1(c_1(c_1(c_2(c_2(c_2(c_2(c_2(c_1(c_1(c_2(c_1(c_0(c_1(c_0(c_1(c_0(x1)))))))))))))))))))))))))) -> 1'(0'(1'(0'(2'(2'(0'(2'(0'(1'(1'(2'(2'(1'(2'(2'(2'(2'(0'(0'(1'(1'(0'(1'(0'(2'(0'(x1))))))))))))))))))))))))))) [1] 2'(c_1(c_2(c_1(c_2(c_2(c_2(c_0(c_2(c_2(c_0(c_2(c_2(c_1(c_2(c_1(c_1(c_0(c_0(c_1(c_0(c_1(c_0(c_2(c_1(c_1(c_0(c_2(c_0(c_0(c_2(c_1(c_1(c_1(x1)))))))))))))))))))))))))))))))))) -> 1'(2'(2'(2'(0'(2'(0'(2'(1'(2'(0'(0'(0'(1'(1'(0'(1'(2'(0'(0'(0'(2'(0'(0'(0'(1'(0'(2'(2'(2'(2'(1'(0'(2'(2'(x1))))))))))))))))))))))))))))))))))) [1] 2'(c_1(c_2(c_1(c_2(c_1(c_2(c_1(c_0(c_1(c_0(c_2(c_2(c_0(c_0(c_1(c_2(c_2(c_1(c_2(c_1(c_0(c_1(c_0(c_2(c_1(c_2(c_2(c_2(c_1(c_1(c_1(c_2(c_0(c_1(c_1(c_0(x1))))))))))))))))))))))))))))))))))))) -> 1'(0'(1'(2'(1'(2'(1'(2'(2'(2'(1'(0'(2'(1'(0'(0'(2'(0'(0'(0'(2'(0'(1'(0'(1'(1'(2'(2'(0'(1'(1'(0'(2'(0'(0'(2'(0'(1'(0'(1'(x1)))))))))))))))))))))))))))))))))))))))) [1] 2'(c_2(c_0(c_2(c_2(c_1(c_2(c_0(c_2(c_2(c_2(c_1(c_1(c_0(c_2(c_1(c_1(c_1(c_2(c_2(c_0(c_1(c_0(c_1(c_0(c_1(c_0(c_0(c_1(c_2(c_0(c_0(c_2(c_2(c_0(c_0(c_2(c_1(c_1(c_1(c_1(c_2(x1)))))))))))))))))))))))))))))))))))))))))) -> 0'(1'(2'(2'(0'(2'(0'(0'(0'(2'(0'(2'(1'(2'(0'(0'(1'(0'(2'(0'(0'(2'(0'(1'(1'(2'(1'(1'(0'(2'(1'(2'(1'(2'(0'(0'(0'(1'(2'(0'(0'(1'(0'(x1))))))))))))))))))))))))))))))))))))))))))) [1] 2'(c_1(c_1(c_1(c_2(c_2(c_0(c_2(c_0(c_0(c_0(c_0(c_1(c_1(c_2(c_0(c_2(c_2(c_0(c_0(c_2(c_2(c_2(c_0(c_0(c_2(c_1(c_0(c_2(c_1(c_0(c_2(c_1(c_2(x1)))))))))))))))))))))))))))))))))) -> 1'(0'(2'(0'(2'(0'(0'(0'(0'(2'(2'(0'(0'(2'(0'(0'(2'(0'(2'(1'(0'(0'(2'(0'(1'(2'(0'(0'(0'(1'(2'(1'(1'(2'(0'(2'(x1)))))))))))))))))))))))))))))))))))) [1] 0'(c_2(c_0(c_0(c_1(c_0(c_0(c_2(c_2(c_2(c_0(c_1(c_1(c_1(c_1(c_2(c_2(c_0(c_0(c_0(c_0(c_2(c_0(c_1(c_2(c_1(c_0(c_1(c_2(c_1(c_2(c_2(c_2(c_0(c_0(c_0(c_0(c_1(c_0(c_0(x1)))))))))))))))))))))))))))))))))))))))) -> 0'(1'(0'(0'(2'(0'(2'(0'(0'(2'(1'(0'(0'(2'(2'(1'(1'(2'(2'(2'(1'(2'(0'(1'(1'(2'(0'(2'(0'(2'(1'(2'(0'(2'(0'(1'(2'(0'(2'(1'(0'(0'(1'(x1))))))))))))))))))))))))))))))))))))))))))) [1] 2'(c_1(c_0(c_0(c_1(c_0(c_2(c_2(c_1(c_1(c_1(c_0(c_1(c_2(c_0(c_1(c_0(c_2(c_1(c_0(c_0(c_2(c_2(c_1(c_1(c_1(c_2(c_2(c_0(c_0(c_0(c_0(c_1(c_1(c_2(c_1(c_0(c_1(c_2(c_2(x1)))))))))))))))))))))))))))))))))))))))) -> 2'(2'(0'(0'(1'(2'(0'(2'(1'(2'(1'(1'(1'(2'(2'(1'(0'(0'(1'(0'(0'(2'(0'(1'(2'(1'(2'(1'(0'(2'(0'(2'(0'(1'(1'(1'(0'(1'(1'(0'(x1)))))))))))))))))))))))))))))))))))))))) [1] 2'(c_1(c_0(c_2(c_1(c_0(c_2(c_2(c_2(c_2(c_0(c_0(c_0(c_1(c_1(c_1(c_2(c_2(c_0(c_2(c_2(c_2(c_0(c_1(c_0(c_2(c_1(c_0(c_1(c_1(c_2(c_2(c_2(c_0(c_0(x1))))))))))))))))))))))))))))))))))) -> 0'(2'(0'(1'(2'(1'(1'(0'(2'(2'(0'(0'(0'(0'(2'(0'(1'(0'(2'(1'(2'(2'(0'(1'(0'(1'(0'(1'(2'(0'(0'(2'(2'(0'(1'(0'(x1)))))))))))))))))))))))))))))))))))) [1] 2'(c_1(c_2(c_0(c_1(c_0(c_0(c_1(c_1(c_0(c_2(c_1(c_1(c_0(c_1(c_2(c_1(c_1(c_2(c_1(c_0(c_2(c_2(c_2(c_1(c_1(c_1(c_0(c_1(c_0(c_2(c_0(c_1(c_2(c_1(c_1(c_0(c_2(c_2(c_0(x1)))))))))))))))))))))))))))))))))))))))) -> 2'(0'(0'(2'(0'(0'(1'(2'(2'(2'(2'(2'(1'(2'(0'(2'(0'(1'(2'(1'(0'(0'(1'(1'(0'(1'(1'(1'(2'(0'(2'(0'(2'(1'(0'(1'(2'(0'(1'(2'(0'(1'(x1)))))))))))))))))))))))))))))))))))))))))) [1] 1'(c_0(c_2(c_1(c_0(c_0(c_1(c_0(c_1(c_2(x1)))))))))) -> 1'(2'(0'(0'(1'(1'(0'(0'(1'(2'(x1)))))))))) [1] 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0'(2'(1'(2'(0'(2'(0'(1'(0'(1'(0'(0'(1'(2'(0'(2'(2'(1'(0'(2'(1'(2'(0'(0'(1'(2'(1'(2'(2'(2'(1'(2'(1'(1'(1'(x1))))))))))))))))))))))))))))))))))) [1] 2'(c_2(c_0(c_1(c_2(c_1(c_2(c_1(c_0(c_2(c_1(c_1(c_0(c_0(c_1(c_0(c_1(c_2(c_1(c_1(c_0(c_1(c_0(c_2(c_1(c_1(c_2(c_0(c_0(c_0(x1)))))))))))))))))))))))))))))) -> 1'(0'(0'(1'(0'(0'(2'(1'(2'(2'(1'(0'(2'(1'(2'(2'(1'(0'(1'(1'(2'(1'(0'(2'(0'(1'(2'(2'(0'(2'(0'(x1))))))))))))))))))))))))))))))) [1] 2'(c_1(c_1(c_2(c_0(c_2(c_0(c_2(c_0(c_1(c_1(c_0(c_2(c_2(c_2(c_2(c_1(c_1(c_1(c_0(c_0(c_0(c_1(c_1(c_0(c_0(c_0(c_1(c_2(c_0(c_0(c_0(c_0(c_1(c_0(c_1(c_2(c_1(c_2(c_2(c_0(c_1(x1)))))))))))))))))))))))))))))))))))))))))) -> 2'(2'(2'(0'(0'(1'(2'(0'(0'(2'(0'(1'(1'(0'(2'(0'(1'(2'(0'(1'(0'(0'(2'(0'(2'(1'(1'(0'(2'(1'(0'(0'(2'(2'(1'(2'(2'(2'(0'(1'(1'(2'(0'(2'(0'(x1))))))))))))))))))))))))))))))))))))))))))))) [1] 2'(c_1(c_2(c_0(c_2(c_2(c_0(c_2(c_0(c_0(c_1(c_0(c_1(c_0(c_0(c_1(c_0(c_2(c_2(c_1(c_0(c_2(c_1(c_1(c_0(c_2(c_1(c_1(c_0(c_1(c_2(c_2(c_0(c_0(c_0(c_1(c_2(c_1(c_2(c_0(c_1(c_1(c_1(c_2(c_1(c_1(c_0(x1))))))))))))))))))))))))))))))))))))))))))))))) -> 0'(2'(2'(0'(1'(2'(1'(0'(2'(0'(2'(0'(0'(1'(2'(2'(1'(1'(2'(2'(2'(0'(1'(2'(0'(0'(2'(2'(0'(0'(0'(1'(2'(2'(1'(2'(2'(1'(0'(2'(1'(1'(1'(1'(0'(1'(0'(2'(0'(x1))))))))))))))))))))))))))))))))))))))))))))))))) [1] 2'(c_2(c_2(c_0(c_1(c_1(c_1(c_1(c_1(c_1(c_0(c_2(c_1(c_1(c_0(c_0(c_0(c_1(c_1(c_2(c_2(c_2(c_2(c_2(c_2(c_2(c_2(c_0(c_0(c_1(c_0(c_2(c_0(c_1(x1)))))))))))))))))))))))))))))))))) -> 0'(1'(0'(0'(1'(0'(0'(1'(2'(0'(2'(0'(2'(0'(2'(0'(2'(2'(1'(0'(2'(1'(1'(1'(1'(1'(1'(0'(1'(0'(1'(1'(0'(0'(0'(x1))))))))))))))))))))))))))))))))))) [1] 2'(c_0(c_2(c_2(c_1(c_2(c_1(c_2(c_2(c_2(c_0(c_1(c_0(c_2(c_2(c_1(c_0(c_0(c_0(c_1(c_2(c_0(c_1(c_2(c_1(c_0(c_0(c_2(c_2(c_0(c_2(c_1(c_1(c_1(c_0(c_0(c_1(x1))))))))))))))))))))))))))))))))))))) -> 1'(2'(2'(0'(0'(0'(1'(1'(0'(2'(0'(2'(0'(0'(2'(0'(1'(1'(2'(0'(2'(0'(1'(2'(1'(2'(1'(2'(1'(0'(2'(2'(2'(1'(0'(1'(0'(1'(0'(x1))))))))))))))))))))))))))))))))))))))) [1] 2'(c_2(c_2(c_0(c_0(c_2(c_0(c_2(c_1(c_2(c_1(c_2(c_1(c_0(c_1(c_1(c_2(c_1(c_1(c_2(c_0(c_1(c_0(c_1(c_0(c_0(c_1(c_1(c_2(c_1(c_1(c_2(c_2(c_1(c_1(c_1(c_1(c_0(c_1(x1))))))))))))))))))))))))))))))))))))))) -> 1'(0'(2'(1'(1'(2'(1'(1'(2'(0'(0'(2'(2'(0'(2'(0'(1'(2'(1'(0'(2'(0'(1'(2'(1'(2'(2'(2'(2'(0'(2'(2'(2'(1'(0'(2'(0'(0'(1'(1'(x1)))))))))))))))))))))))))))))))))))))))) [1] 1'(c_1(c_1(c_2(c_0(c_1(c_0(c_1(c_0(c_1(c_1(c_1(c_2(c_1(c_1(c_2(c_1(c_2(c_2(c_1(c_1(c_2(c_1(c_1(c_2(c_1(c_2(c_0(c_0(c_2(c_2(c_2(c_1(c_2(c_0(c_0(c_0(c_0(c_1(c_1(c_0(c_0(x1)))))))))))))))))))))))))))))))))))))))))) -> 1'(2'(1'(0'(1'(2'(0'(1'(0'(2'(0'(2'(2'(2'(0'(1'(1'(1'(1'(2'(1'(0'(2'(2'(1'(0'(2'(2'(1'(1'(0'(2'(1'(2'(0'(2'(0'(2'(1'(0'(0'(0'(0'(x1))))))))))))))))))))))))))))))))))))))))))) [1] 0'(c_2(c_2(c_2(c_1(c_2(c_0(c_2(c_1(c_0(c_1(c_2(c_2(c_0(c_1(c_1(c_0(c_2(c_0(c_0(c_1(c_2(c_2(c_2(c_0(c_0(c_2(c_0(c_2(c_2(c_1(c_0(c_0(c_1(c_0(c_0(x1)))))))))))))))))))))))))))))))))))) -> 0'(0'(0'(2'(0'(0'(0'(2'(2'(2'(0'(1'(0'(2'(1'(2'(2'(0'(1'(2'(2'(0'(0'(0'(1'(0'(0'(0'(2'(0'(1'(1'(0'(2'(0'(2'(0'(x1))))))))))))))))))))))))))))))))))))) [1] 1'(c_2(c_1(c_1(c_1(c_2(c_1(c_0(c_2(c_2(c_0(c_1(c_2(c_0(c_0(c_1(c_0(c_0(c_2(c_1(c_2(c_1(c_2(c_1(c_0(c_1(c_0(c_2(c_1(c_0(x1)))))))))))))))))))))))))))))) -> 1'(0'(1'(0'(0'(0'(2'(0'(1'(1'(1'(2'(2'(2'(2'(1'(0'(2'(0'(2'(2'(1'(1'(0'(1'(2'(2'(1'(1'(1'(0'(x1))))))))))))))))))))))))))))))) [1] 1'(c_0(c_1(c_2(c_0(c_1(c_0(c_2(c_2(c_1(c_2(c_2(c_0(c_0(c_0(c_2(c_1(c_1(c_2(c_0(c_2(c_1(c_1(c_1(c_0(c_1(c_0(c_0(c_0(c_2(c_1(c_1(c_2(c_1(c_0(c_0(x1)))))))))))))))))))))))))))))))))))) -> 1'(1'(2'(1'(0'(2'(1'(1'(2'(0'(2'(1'(1'(1'(2'(2'(0'(2'(1'(2'(2'(1'(1'(1'(0'(1'(0'(2'(0'(0'(0'(2'(0'(2'(0'(0'(1'(x1))))))))))))))))))))))))))))))))))))) [1] 0'(c_2(c_1(c_1(c_1(c_0(c_2(c_1(c_1(c_0(c_0(c_2(c_1(c_0(c_2(c_1(c_1(c_0(c_2(c_2(c_1(c_0(c_2(c_0(c_1(c_0(c_2(c_1(c_0(c_1(c_1(c_2(c_2(c_1(c_0(c_1(c_2(c_2(c_0(c_0(x1)))))))))))))))))))))))))))))))))))))))) -> 0'(2'(1'(2'(2'(2'(2'(1'(1'(1'(1'(1'(2'(0'(0'(2'(0'(2'(0'(0'(2'(1'(1'(1'(0'(2'(0'(2'(2'(2'(1'(1'(1'(0'(0'(0'(1'(2'(2'(0'(2'(0'(x1)))))))))))))))))))))))))))))))))))))))))) [1] 2'(c_2(c_1(c_2(c_1(c_1(c_0(c_0(c_0(c_0(c_1(c_2(c_1(c_1(c_1(c_0(c_0(c_1(c_1(c_0(c_0(c_2(c_0(c_1(c_1(c_1(c_0(c_2(c_2(c_1(c_2(c_0(c_0(c_1(c_0(c_0(c_1(x1))))))))))))))))))))))))))))))))))))) -> 2'(0'(1'(2'(0'(2'(0'(1'(1'(0'(0'(1'(0'(1'(0'(2'(0'(1'(0'(2'(2'(2'(1'(2'(1'(0'(2'(0'(2'(0'(0'(2'(0'(1'(1'(1'(2'(0'(0'(2'(1'(0'(x1)))))))))))))))))))))))))))))))))))))))))) [1] 2'(c_1(c_2(c_0(c_0(c_2(c_1(c_0(c_1(c_2(c_1(c_2(c_0(c_0(c_0(c_0(c_1(c_1(c_1(c_0(c_2(c_0(c_1(c_0(c_2(c_1(c_2(c_1(c_2(c_0(c_2(c_1(c_1(c_1(c_1(c_0(c_1(c_0(c_0(c_1(c_1(c_0(x1)))))))))))))))))))))))))))))))))))))))))) -> 2'(2'(1'(1'(1'(1'(2'(2'(0'(2'(1'(1'(1'(2'(2'(1'(0'(1'(0'(1'(2'(0'(2'(2'(2'(1'(1'(2'(0'(1'(2'(0'(1'(0'(0'(2'(1'(0'(2'(0'(1'(0'(1'(x1))))))))))))))))))))))))))))))))))))))))))) [1] 0'(c_0(c_0(c_2(c_2(c_0(c_2(c_1(c_1(c_0(c_0(c_2(c_2(c_1(c_2(c_0(c_1(c_0(c_1(c_0(c_1(c_1(c_0(c_0(x1)))))))))))))))))))))))) -> 0'(0'(1'(0'(2'(0'(0'(1'(2'(2'(2'(2'(2'(1'(0'(1'(2'(1'(2'(0'(1'(1'(1'(1'(1'(x1))))))))))))))))))))))))) [1] 0'(c_1(c_1(c_1(c_0(c_1(c_0(c_0(c_2(c_1(c_0(c_0(c_1(c_0(c_0(c_0(c_0(c_1(c_1(c_2(c_1(c_1(c_1(c_0(c_0(c_0(c_1(c_2(c_0(c_2(c_2(c_2(c_2(c_0(c_2(c_0(c_0(x1))))))))))))))))))))))))))))))))))))) -> 0'(0'(2'(0'(1'(2'(0'(0'(1'(2'(0'(2'(1'(1'(0'(2'(1'(2'(2'(2'(2'(2'(0'(0'(1'(0'(1'(1'(2'(0'(0'(1'(1'(1'(1'(1'(2'(0'(x1)))))))))))))))))))))))))))))))))))))) [1] encArg(cons_0(x_1)) -> 0'(encArg(x_1)) [0] encArg(cons_2(x_1)) -> 2'(encArg(x_1)) [0] encArg(cons_1(x_1)) -> 1'(encArg(x_1)) [0] encode_0(x_1) -> 0'(encArg(x_1)) [0] encode_1(x_1) -> 1'(encArg(x_1)) [0] encode_2(x_1) -> 2'(encArg(x_1)) [0] 0'(x0) -> c_0(x0) [0] 1'(x0) -> c_1(x0) [0] 2'(x0) -> c_2(x0) [0] encArg(v0) -> const [0] encode_0(v0) -> const [0] encode_1(v0) -> const [0] encode_2(v0) -> const [0] 0'(v0) -> const [0] 1'(v0) -> const [0] 2'(v0) -> const [0] The TRS has the following type information: 0' :: c_1:c_2:c_0:const -> c_1:c_2:c_0:const c_1 :: c_1:c_2:c_0:const -> c_1:c_2:c_0:const c_0 :: c_1:c_2:c_0:const -> c_1:c_2:c_0:const c_2 :: c_1:c_2:c_0:const -> c_1:c_2:c_0:const 2' :: c_1:c_2:c_0:const -> c_1:c_2:c_0:const 1' :: c_1:c_2:c_0:const -> c_1:c_2:c_0:const encArg :: cons_0:cons_2:cons_1 -> c_1:c_2:c_0:const cons_0 :: cons_0:cons_2:cons_1 -> cons_0:cons_2:cons_1 cons_2 :: cons_0:cons_2:cons_1 -> cons_0:cons_2:cons_1 cons_1 :: cons_0:cons_2:cons_1 -> cons_0:cons_2:cons_1 encode_0 :: cons_0:cons_2:cons_1 -> c_1:c_2:c_0:const encode_1 :: cons_0:cons_2:cons_1 -> c_1:c_2:c_0:const encode_2 :: cons_0:cons_2:cons_1 -> c_1:c_2:c_0:const const :: c_1:c_2:c_0:const const1 :: cons_0:cons_2:cons_1 Rewrite Strategy: INNERMOST ---------------------------------------- (25) NarrowingProof (BOTH BOUNDS(ID, ID)) Narrowed the inner basic terms of all right-hand sides by a single narrowing step. ---------------------------------------- (26) Obligation: Runtime Complexity Weighted TRS where critical functions are completely defined. The underlying TRS is: Runtime Complexity Weighted TRS with Types. The TRS R consists of the following rules: 0'(c_1(c_0(c_1(c_1(c_0(c_1(c_2(c_2(c_1(c_1(c_1(c_0(c_2(c_1(c_1(c_1(x1))))))))))))))))) -> 0'(2'(1'(1'(0'(2'(2'(0'(2'(2'(0'(0'(2'(0'(1'(2'(1'(2'(x1)))))))))))))))))) [1] 2'(c_1(c_1(c_0(c_0(c_0(c_1(c_1(c_2(c_2(c_1(c_2(c_1(c_2(c_1(c_2(c_2(c_0(c_1(c_0(c_0(c_0(c_1(c_2(c_0(c_0(c_1(c_1(c_2(x1))))))))))))))))))))))))))))) -> 0'(2'(1'(2'(2'(0'(1'(0'(1'(2'(0'(0'(1'(1'(1'(0'(1'(1'(1'(1'(2'(0'(2'(2'(0'(2'(1'(0'(2'(x1))))))))))))))))))))))))))))) [1] 2'(c_1(c_0(c_0(c_1(c_0(c_0(c_1(c_2(c_2(c_0(c_2(c_2(c_1(c_0(c_0(c_0(c_2(c_2(c_1(c_1(c_2(c_0(c_1(c_2(c_0(c_0(c_1(c_2(c_0(c_2(c_1(c_0(c_2(c_2(c_0(c_1(c_1(c_1(x1))))))))))))))))))))))))))))))))))))))) -> 2'(1'(2'(0'(0'(1'(2'(0'(1'(2'(0'(0'(0'(2'(2'(0'(2'(0'(1'(0'(0'(0'(2'(0'(0'(2'(2'(0'(2'(2'(2'(0'(0'(2'(0'(1'(0'(2'(0'(1'(0'(x1))))))))))))))))))))))))))))))))))))))))) [1] 0'(c_0(c_2(c_0(c_2(c_1(c_1(c_2(c_0(c_2(c_1(c_1(c_2(c_0(c_1(c_0(c_1(c_2(c_1(c_1(c_1(c_0(c_0(c_0(c_0(c_2(c_2(c_1(c_2(c_0(x1)))))))))))))))))))))))))))))) -> 0'(0'(2'(0'(1'(1'(1'(0'(0'(2'(1'(1'(2'(0'(0'(2'(2'(0'(1'(1'(1'(2'(0'(2'(0'(2'(1'(2'(1'(0'(x1)))))))))))))))))))))))))))))) [1] 2'(c_2(c_0(c_0(c_2(c_1(c_0(c_1(x1)))))))) -> 1'(2'(2'(0'(0'(1'(2'(0'(x1)))))))) [1] 1'(c_0(c_1(c_0(c_2(c_2(c_2(c_2(c_0(c_1(c_1(c_0(c_1(c_2(c_2(c_0(c_2(c_1(c_0(c_1(c_1(x1))))))))))))))))))))) -> 2'(0'(0'(0'(2'(2'(1'(2'(0'(2'(0'(1'(0'(0'(2'(0'(2'(0'(0'(2'(1'(0'(x1)))))))))))))))))))))) [1] 1'(c_0(c_0(c_1(c_2(c_0(c_0(c_0(c_1(c_1(c_1(c_1(c_2(c_2(c_2(c_2(c_2(c_1(c_1(c_2(c_1(c_0(c_1(c_0(c_1(c_0(x1)))))))))))))))))))))))))) -> 1'(0'(1'(0'(2'(2'(0'(2'(0'(1'(1'(2'(2'(1'(2'(2'(2'(2'(0'(0'(1'(1'(0'(1'(0'(2'(0'(x1))))))))))))))))))))))))))) [1] 2'(c_1(c_2(c_1(c_2(c_2(c_2(c_0(c_2(c_2(c_0(c_2(c_2(c_1(c_2(c_1(c_1(c_0(c_0(c_1(c_0(c_1(c_0(c_2(c_1(c_1(c_0(c_2(c_0(c_0(c_2(c_1(c_1(c_1(x1)))))))))))))))))))))))))))))))))) -> 1'(2'(2'(2'(0'(2'(0'(2'(1'(2'(0'(0'(0'(1'(1'(0'(1'(2'(0'(0'(0'(2'(0'(0'(0'(1'(0'(2'(2'(2'(2'(1'(0'(2'(2'(x1))))))))))))))))))))))))))))))))))) [1] 2'(c_1(c_2(c_1(c_2(c_1(c_2(c_1(c_0(c_1(c_0(c_2(c_2(c_0(c_0(c_1(c_2(c_2(c_1(c_2(c_1(c_0(c_1(c_0(c_2(c_1(c_2(c_2(c_2(c_1(c_1(c_1(c_2(c_0(c_1(c_1(c_0(x1))))))))))))))))))))))))))))))))))))) -> 1'(0'(1'(2'(1'(2'(1'(2'(2'(2'(1'(0'(2'(1'(0'(0'(2'(0'(0'(0'(2'(0'(1'(0'(1'(1'(2'(2'(0'(1'(1'(0'(2'(0'(0'(2'(0'(1'(0'(1'(x1)))))))))))))))))))))))))))))))))))))))) [1] 2'(c_2(c_0(c_2(c_2(c_1(c_2(c_0(c_2(c_2(c_2(c_1(c_1(c_0(c_2(c_1(c_1(c_1(c_2(c_2(c_0(c_1(c_0(c_1(c_0(c_1(c_0(c_0(c_1(c_2(c_0(c_0(c_2(c_2(c_0(c_0(c_2(c_1(c_1(c_1(c_1(c_2(x1)))))))))))))))))))))))))))))))))))))))))) -> 0'(1'(2'(2'(0'(2'(0'(0'(0'(2'(0'(2'(1'(2'(0'(0'(1'(0'(2'(0'(0'(2'(0'(1'(1'(2'(1'(1'(0'(2'(1'(2'(1'(2'(0'(0'(0'(1'(2'(0'(0'(1'(0'(x1))))))))))))))))))))))))))))))))))))))))))) [1] 2'(c_1(c_1(c_1(c_2(c_2(c_0(c_2(c_0(c_0(c_0(c_0(c_1(c_1(c_2(c_0(c_2(c_2(c_0(c_0(c_2(c_2(c_2(c_0(c_0(c_2(c_1(c_0(c_2(c_1(c_0(c_2(c_1(c_2(x1)))))))))))))))))))))))))))))))))) -> 1'(0'(2'(0'(2'(0'(0'(0'(0'(2'(2'(0'(0'(2'(0'(0'(2'(0'(2'(1'(0'(0'(2'(0'(1'(2'(0'(0'(0'(1'(2'(1'(1'(2'(0'(2'(x1)))))))))))))))))))))))))))))))))))) [1] 0'(c_2(c_0(c_0(c_1(c_0(c_0(c_2(c_2(c_2(c_0(c_1(c_1(c_1(c_1(c_2(c_2(c_0(c_0(c_0(c_0(c_2(c_0(c_1(c_2(c_1(c_0(c_1(c_2(c_1(c_2(c_2(c_2(c_0(c_0(c_0(c_0(c_1(c_0(c_0(x1)))))))))))))))))))))))))))))))))))))))) -> 0'(1'(0'(0'(2'(0'(2'(0'(0'(2'(1'(0'(0'(2'(2'(1'(1'(2'(2'(2'(1'(2'(0'(1'(1'(2'(0'(2'(0'(2'(1'(2'(0'(2'(0'(1'(2'(0'(2'(1'(0'(0'(1'(x1))))))))))))))))))))))))))))))))))))))))))) [1] 2'(c_1(c_0(c_0(c_1(c_0(c_2(c_2(c_1(c_1(c_1(c_0(c_1(c_2(c_0(c_1(c_0(c_2(c_1(c_0(c_0(c_2(c_2(c_1(c_1(c_1(c_2(c_2(c_0(c_0(c_0(c_0(c_1(c_1(c_2(c_1(c_0(c_1(c_2(c_2(x1)))))))))))))))))))))))))))))))))))))))) -> 2'(2'(0'(0'(1'(2'(0'(2'(1'(2'(1'(1'(1'(2'(2'(1'(0'(0'(1'(0'(0'(2'(0'(1'(2'(1'(2'(1'(0'(2'(0'(2'(0'(1'(1'(1'(0'(1'(1'(0'(x1)))))))))))))))))))))))))))))))))))))))) [1] 2'(c_1(c_0(c_2(c_1(c_0(c_2(c_2(c_2(c_2(c_0(c_0(c_0(c_1(c_1(c_1(c_2(c_2(c_0(c_2(c_2(c_2(c_0(c_1(c_0(c_2(c_1(c_0(c_1(c_1(c_2(c_2(c_2(c_0(c_0(x1))))))))))))))))))))))))))))))))))) -> 0'(2'(0'(1'(2'(1'(1'(0'(2'(2'(0'(0'(0'(0'(2'(0'(1'(0'(2'(1'(2'(2'(0'(1'(0'(1'(0'(1'(2'(0'(0'(2'(2'(0'(1'(0'(x1)))))))))))))))))))))))))))))))))))) [1] 2'(c_1(c_2(c_0(c_1(c_0(c_0(c_1(c_1(c_0(c_2(c_1(c_1(c_0(c_1(c_2(c_1(c_1(c_2(c_1(c_0(c_2(c_2(c_2(c_1(c_1(c_1(c_0(c_1(c_0(c_2(c_0(c_1(c_2(c_1(c_1(c_0(c_2(c_2(c_0(x1)))))))))))))))))))))))))))))))))))))))) -> 2'(0'(0'(2'(0'(0'(1'(2'(2'(2'(2'(2'(1'(2'(0'(2'(0'(1'(2'(1'(0'(0'(1'(1'(0'(1'(1'(1'(2'(0'(2'(0'(2'(1'(0'(1'(2'(0'(1'(2'(0'(1'(x1)))))))))))))))))))))))))))))))))))))))))) [1] 1'(c_0(c_2(c_1(c_0(c_0(c_1(c_0(c_1(c_2(x1)))))))))) -> 1'(2'(0'(0'(1'(1'(0'(0'(1'(2'(x1)))))))))) [1] 2'(c_1(c_1(c_1(c_0(c_1(c_0(c_0(c_1(c_0(c_1(c_1(c_0(c_1(c_0(c_2(c_0(c_0(c_0(c_1(c_1(c_1(c_2(c_2(c_0(c_1(c_2(c_2(x1)))))))))))))))))))))))))))) -> 2'(0'(0'(1'(2'(1'(1'(2'(0'(2'(0'(1'(1'(1'(1'(2'(0'(1'(2'(1'(2'(2'(2'(2'(2'(2'(0'(2'(2'(x1))))))))))))))))))))))))))))) [1] 2'(c_2(c_2(c_1(c_0(c_0(c_1(c_0(c_0(c_1(c_2(c_1(c_1(c_2(c_1(c_2(c_0(c_1(c_1(c_0(c_1(c_2(c_0(c_1(c_2(c_2(c_1(c_0(c_1(c_0(c_0(c_1(c_2(c_1(c_1(x1))))))))))))))))))))))))))))))))))) -> 0'(0'(2'(0'(0'(0'(1'(2'(1'(2'(0'(1'(1'(0'(2'(0'(1'(0'(1'(2'(0'(0'(1'(1'(2'(0'(0'(1'(1'(0'(2'(2'(0'(2'(2'(1'(1'(x1))))))))))))))))))))))))))))))))))))) [1] 1'(c_1(c_1(c_0(c_1(c_2(c_2(c_2(c_2(c_0(c_1(c_0(c_2(c_2(c_0(c_0(c_0(c_1(c_2(c_0(c_0(c_0(c_2(c_2(c_1(c_0(c_0(c_0(c_0(c_1(c_1(c_0(c_0(c_0(c_1(x1))))))))))))))))))))))))))))))))))) -> 1'(1'(1'(1'(2'(0'(1'(1'(1'(0'(1'(0'(2'(0'(0'(1'(1'(2'(1'(0'(2'(2'(0'(0'(0'(0'(1'(2'(0'(1'(0'(0'(2'(0'(1'(2'(0'(x1))))))))))))))))))))))))))))))))))))) [1] 0'(c_1(c_0(c_0(c_2(c_2(c_0(c_1(c_0(c_1(c_2(c_1(c_2(c_2(c_2(c_1(c_0(c_1(c_2(c_1(c_0(c_1(c_1(c_1(c_2(c_0(c_2(c_1(x1)))))))))))))))))))))))))))) -> 0'(0'(2'(0'(0'(2'(2'(0'(0'(1'(1'(2'(1'(1'(1'(2'(0'(0'(1'(1'(2'(0'(2'(0'(2'(2'(1'(2'(2'(x1))))))))))))))))))))))))))))) [1] 1'(c_2(c_2(c_2(c_1(c_0(c_0(c_2(c_0(c_0(c_1(c_1(c_1(c_2(c_1(c_1(c_1(c_2(c_2(c_1(c_2(c_0(c_2(c_1(c_0(c_1(c_2(c_1(c_1(c_1(c_2(c_2(x1)))))))))))))))))))))))))))))))) -> 1'(1'(1'(2'(1'(0'(2'(1'(0'(2'(1'(1'(2'(2'(1'(2'(1'(1'(1'(2'(1'(0'(2'(0'(0'(2'(0'(2'(2'(1'(1'(2'(x1)))))))))))))))))))))))))))))))) [1] 1'(c_1(c_2(c_1(c_0(c_2(c_2(c_1(c_2(c_2(c_2(c_0(c_1(c_1(c_0(c_0(c_2(c_1(c_0(c_1(c_2(c_2(c_2(c_1(c_1(c_1(c_2(c_0(c_0(c_0(c_1(c_1(c_0(c_1(c_1(c_1(c_2(c_0(x1)))))))))))))))))))))))))))))))))))))) -> 2'(0'(0'(2'(0'(2'(1'(0'(0'(1'(0'(0'(0'(1'(1'(1'(0'(2'(1'(0'(1'(2'(0'(0'(1'(1'(2'(2'(1'(0'(0'(2'(0'(0'(1'(2'(1'(0'(1'(x1))))))))))))))))))))))))))))))))))))))) [1] 2'(c_2(c_1(c_0(c_0(c_2(c_1(c_2(c_0(c_0(c_0(c_2(c_1(c_0(c_2(c_0(c_2(c_1(c_2(c_2(c_2(c_0(c_1(c_2(c_2(c_0(c_0(c_0(c_1(c_0(c_2(c_2(c_2(c_1(c_0(c_1(c_2(c_1(c_0(c_0(c_2(c_0(c_1(c_0(c_1(x1))))))))))))))))))))))))))))))))))))))))))))) -> 2'(1'(1'(2'(1'(1'(1'(0'(2'(0'(1'(1'(1'(2'(0'(0'(2'(2'(1'(2'(2'(2'(2'(0'(2'(0'(1'(1'(0'(1'(2'(2'(2'(1'(1'(2'(1'(1'(1'(0'(0'(0'(2'(0'(1'(0'(x1)))))))))))))))))))))))))))))))))))))))))))))) [1] 1'(c_2(c_0(c_1(c_0(c_0(c_0(c_1(c_2(c_2(c_1(c_1(c_2(c_0(c_1(c_0(c_1(c_1(c_0(x1))))))))))))))))))) -> 2'(0'(2'(1'(0'(2'(2'(2'(0'(0'(0'(2'(2'(2'(2'(0'(2'(0'(2'(0'(x1)))))))))))))))))))) [1] 0'(c_0(c_1(c_1(c_0(c_0(c_0(c_1(x1)))))))) -> 0'(2'(0'(1'(0'(1'(1'(1'(1'(x1))))))))) [1] 0'(c_0(c_1(c_1(c_1(c_1(c_2(c_2(c_0(c_0(c_2(c_1(c_2(c_2(c_1(c_0(c_2(c_1(c_0(c_0(c_1(c_1(c_0(c_2(c_0(c_2(c_2(c_2(c_2(c_0(c_2(c_1(x1)))))))))))))))))))))))))))))))) -> 0'(0'(1'(1'(1'(2'(1'(2'(2'(0'(0'(1'(2'(2'(1'(2'(2'(1'(2'(0'(1'(0'(2'(0'(0'(2'(0'(2'(1'(0'(2'(1'(x1)))))))))))))))))))))))))))))))) [1] 1'(c_1(c_0(c_1(c_2(c_2(c_2(c_2(c_0(c_2(c_1(c_1(x1)))))))))))) -> 1'(1'(0'(1'(2'(2'(0'(2'(0'(1'(2'(2'(2'(x1))))))))))))) [1] 2'(c_2(c_2(c_0(c_2(c_1(c_2(c_1(c_0(c_0(c_0(c_0(c_1(c_2(c_2(c_1(c_0(c_2(c_2(c_1(c_1(c_0(c_0(c_0(c_2(c_0(c_0(c_0(c_1(c_0(c_2(c_1(c_2(c_2(c_1(c_1(c_0(c_2(c_1(x1))))))))))))))))))))))))))))))))))))))) -> 1'(2'(0'(1'(1'(2'(0'(2'(2'(0'(2'(1'(0'(2'(0'(2'(0'(1'(1'(0'(1'(2'(2'(1'(0'(1'(0'(0'(0'(2'(0'(2'(2'(1'(0'(0'(0'(1'(0'(1'(x1)))))))))))))))))))))))))))))))))))))))) [1] 2'(c_2(c_2(c_2(c_0(c_2(c_2(c_2(c_2(c_0(c_1(c_2(c_1(c_1(c_0(c_2(c_1(c_1(c_2(c_1(c_0(c_1(c_0(c_1(c_0(c_0(c_0(c_0(c_2(c_0(c_0(c_1(c_2(c_1(c_2(c_1(c_1(c_0(c_0(c_1(c_2(c_0(c_1(x1))))))))))))))))))))))))))))))))))))))))))) -> 2'(0'(1'(2'(1'(2'(0'(2'(0'(1'(2'(0'(1'(1'(0'(2'(2'(0'(0'(1'(1'(2'(2'(1'(1'(1'(2'(1'(2'(2'(0'(2'(2'(1'(0'(1'(1'(1'(1'(1'(0'(1'(2'(0'(x1)))))))))))))))))))))))))))))))))))))))))))) [1] 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1'(1'(2'(1'(1'(1'(0'(1'(2'(0'(0'(1'(2'(2'(0'(2'(0'(0'(2'(0'(1'(0'(2'(0'(0'(1'(0'(0'(0'(2'(0'(2'(1'(2'(2'(0'(1'(x1))))))))))))))))))))))))))))))))))))) [1] 1'(c_2(c_1(c_0(c_0(c_1(c_1(c_0(c_1(c_0(c_2(c_1(c_2(c_0(c_2(c_0(c_1(c_1(c_2(c_1(c_2(c_0(c_1(c_1(c_0(c_0(c_0(c_1(x1)))))))))))))))))))))))))))) -> 1'(1'(1'(1'(2'(0'(2'(0'(0'(1'(2'(0'(0'(0'(0'(2'(2'(1'(0'(0'(2'(0'(1'(2'(0'(1'(2'(0'(0'(x1))))))))))))))))))))))))))))) [1] 0'(c_2(c_2(c_2(c_0(c_1(c_1(c_2(c_1(c_1(c_2(c_2(c_1(c_1(c_1(c_2(c_2(c_1(c_1(c_1(c_1(c_0(c_2(c_1(c_1(c_0(c_0(c_2(c_0(c_1(c_2(c_2(c_1(c_1(c_0(c_0(c_0(c_1(c_1(c_0(c_0(c_0(x1)))))))))))))))))))))))))))))))))))))))))) -> 0'(0'(1'(0'(2'(2'(0'(2'(0'(0'(2'(0'(2'(0'(1'(2'(0'(2'(0'(2'(0'(0'(1'(1'(2'(1'(0'(1'(0'(1'(2'(2'(0'(2'(2'(1'(0'(0'(2'(0'(2'(1'(0'(x1))))))))))))))))))))))))))))))))))))))))))) [1] 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1'(c_2(c_1(c_2(c_1(c_0(c_2(c_2(c_2(c_1(c_2(c_0(c_0(c_2(c_2(c_0(c_1(c_2(c_1(c_1(c_2(c_1(c_0(c_1(c_2(c_2(c_1(c_2(c_0(c_1(c_2(c_2(c_1(c_2(c_2(c_1(c_1(c_2(c_1(c_0(c_1(c_1(c_1(x1))))))))))))))))))))))))))))))))))))))))))) -> 1'(0'(0'(2'(1'(0'(1'(2'(2'(1'(0'(1'(2'(1'(0'(1'(0'(1'(2'(0'(2'(2'(1'(0'(2'(1'(2'(2'(2'(0'(0'(1'(2'(0'(2'(0'(0'(1'(1'(0'(2'(1'(2'(0'(1'(x1))))))))))))))))))))))))))))))))))))))))))))) [1] 1'(c_1(c_0(c_1(c_1(c_1(c_1(c_0(c_1(c_0(c_0(c_2(c_1(c_1(c_2(c_0(c_0(c_1(c_1(c_0(c_2(c_0(c_0(c_0(x1)))))))))))))))))))))))) -> 2'(0'(0'(2'(1'(0'(2'(2'(2'(0'(0'(2'(2'(2'(2'(0'(0'(0'(2'(0'(1'(2'(0'(0'(0'(x1))))))))))))))))))))))))) [1] 2'(c_1(c_0(c_0(c_1(c_1(c_0(c_2(c_2(c_0(c_1(c_0(c_0(c_1(c_2(c_0(c_2(c_1(c_2(c_0(c_1(c_0(c_0(c_0(x1)))))))))))))))))))))))) -> 2'(1'(1'(0'(1'(2'(0'(0'(2'(0'(2'(0'(2'(1'(0'(1'(2'(0'(1'(0'(2'(1'(1'(2'(0'(0'(x1)))))))))))))))))))))))))) [1] 1'(c_2(c_0(c_0(c_0(c_2(c_0(c_1(c_1(c_2(c_2(c_0(c_0(c_2(c_2(c_0(c_2(c_1(c_1(c_1(c_2(c_1(c_1(c_1(c_0(c_1(c_2(c_1(c_2(c_1(x1)))))))))))))))))))))))))))))) -> 1'(0'(2'(0'(1'(1'(2'(0'(2'(1'(0'(0'(1'(2'(2'(0'(1'(1'(2'(0'(2'(2'(1'(2'(2'(2'(2'(1'(1'(1'(2'(x1))))))))))))))))))))))))))))))) [1] 0'(c_2(c_2(c_0(c_1(c_2(c_0(c_0(c_0(c_2(c_2(c_2(c_1(c_2(c_2(c_2(c_1(c_0(c_0(c_0(c_2(c_0(c_2(c_1(c_1(c_0(c_2(c_1(c_2(c_0(c_1(c_0(c_2(c_1(c_2(c_0(c_2(c_1(c_0(c_1(c_0(c_1(x1)))))))))))))))))))))))))))))))))))))))))) -> 0'(1'(1'(1'(2'(0'(0'(0'(0'(1'(1'(2'(0'(2'(0'(2'(0'(0'(0'(2'(2'(0'(0'(0'(0'(2'(2'(0'(1'(1'(0'(0'(1'(2'(1'(2'(0'(1'(2'(0'(0'(2'(0'(0'(0'(x1))))))))))))))))))))))))))))))))))))))))))))) [1] 0'(c_2(c_1(c_2(c_0(c_1(c_2(c_1(c_1(c_1(c_2(c_0(c_0(c_0(c_0(c_1(c_2(c_1(c_0(c_0(c_2(c_2(c_2(c_0(c_1(c_2(c_0(c_2(c_1(c_1(c_2(c_2(c_1(c_2(c_1(x1))))))))))))))))))))))))))))))))))) -> 0'(2'(1'(2'(0'(2'(0'(1'(0'(1'(0'(0'(1'(2'(0'(2'(2'(1'(0'(2'(1'(2'(0'(0'(1'(2'(1'(2'(2'(2'(1'(2'(1'(1'(1'(x1))))))))))))))))))))))))))))))))))) [1] 2'(c_2(c_0(c_1(c_2(c_1(c_2(c_1(c_0(c_2(c_1(c_1(c_0(c_0(c_1(c_0(c_1(c_2(c_1(c_1(c_0(c_1(c_0(c_2(c_1(c_1(c_2(c_0(c_0(c_0(x1)))))))))))))))))))))))))))))) -> 1'(0'(0'(1'(0'(0'(2'(1'(2'(2'(1'(0'(2'(1'(2'(2'(1'(0'(1'(1'(2'(1'(0'(2'(0'(1'(2'(2'(0'(2'(0'(x1))))))))))))))))))))))))))))))) [1] 2'(c_1(c_1(c_2(c_0(c_2(c_0(c_2(c_0(c_1(c_1(c_0(c_2(c_2(c_2(c_2(c_1(c_1(c_1(c_0(c_0(c_0(c_1(c_1(c_0(c_0(c_0(c_1(c_2(c_0(c_0(c_0(c_0(c_1(c_0(c_1(c_2(c_1(c_2(c_2(c_0(c_1(x1)))))))))))))))))))))))))))))))))))))))))) -> 2'(2'(2'(0'(0'(1'(2'(0'(0'(2'(0'(1'(1'(0'(2'(0'(1'(2'(0'(1'(0'(0'(2'(0'(2'(1'(1'(0'(2'(1'(0'(0'(2'(2'(1'(2'(2'(2'(0'(1'(1'(2'(0'(2'(0'(x1))))))))))))))))))))))))))))))))))))))))))))) [1] 2'(c_1(c_2(c_0(c_2(c_2(c_0(c_2(c_0(c_0(c_1(c_0(c_1(c_0(c_0(c_1(c_0(c_2(c_2(c_1(c_0(c_2(c_1(c_1(c_0(c_2(c_1(c_1(c_0(c_1(c_2(c_2(c_0(c_0(c_0(c_1(c_2(c_1(c_2(c_0(c_1(c_1(c_1(c_2(c_1(c_1(c_0(x1))))))))))))))))))))))))))))))))))))))))))))))) -> 0'(2'(2'(0'(1'(2'(1'(0'(2'(0'(2'(0'(0'(1'(2'(2'(1'(1'(2'(2'(2'(0'(1'(2'(0'(0'(2'(2'(0'(0'(0'(1'(2'(2'(1'(2'(2'(1'(0'(2'(1'(1'(1'(1'(0'(1'(0'(2'(0'(x1))))))))))))))))))))))))))))))))))))))))))))))))) [1] 2'(c_2(c_2(c_0(c_1(c_1(c_1(c_1(c_1(c_1(c_0(c_2(c_1(c_1(c_0(c_0(c_0(c_1(c_1(c_2(c_2(c_2(c_2(c_2(c_2(c_2(c_2(c_0(c_0(c_1(c_0(c_2(c_0(c_1(x1)))))))))))))))))))))))))))))))))) -> 0'(1'(0'(0'(1'(0'(0'(1'(2'(0'(2'(0'(2'(0'(2'(0'(2'(2'(1'(0'(2'(1'(1'(1'(1'(1'(1'(0'(1'(0'(1'(1'(0'(0'(0'(x1))))))))))))))))))))))))))))))))))) [1] 2'(c_0(c_2(c_2(c_1(c_2(c_1(c_2(c_2(c_2(c_0(c_1(c_0(c_2(c_2(c_1(c_0(c_0(c_0(c_1(c_2(c_0(c_1(c_2(c_1(c_0(c_0(c_2(c_2(c_0(c_2(c_1(c_1(c_1(c_0(c_0(c_1(x1))))))))))))))))))))))))))))))))))))) -> 1'(2'(2'(0'(0'(0'(1'(1'(0'(2'(0'(2'(0'(0'(2'(0'(1'(1'(2'(0'(2'(0'(1'(2'(1'(2'(1'(2'(1'(0'(2'(2'(2'(1'(0'(1'(0'(1'(0'(x1))))))))))))))))))))))))))))))))))))))) [1] 2'(c_2(c_2(c_0(c_0(c_2(c_0(c_2(c_1(c_2(c_1(c_2(c_1(c_0(c_1(c_1(c_2(c_1(c_1(c_2(c_0(c_1(c_0(c_1(c_0(c_0(c_1(c_1(c_2(c_1(c_1(c_2(c_2(c_1(c_1(c_1(c_1(c_0(c_1(x1))))))))))))))))))))))))))))))))))))))) -> 1'(0'(2'(1'(1'(2'(1'(1'(2'(0'(0'(2'(2'(0'(2'(0'(1'(2'(1'(0'(2'(0'(1'(2'(1'(2'(2'(2'(2'(0'(2'(2'(2'(1'(0'(2'(0'(0'(1'(1'(x1)))))))))))))))))))))))))))))))))))))))) [1] 1'(c_1(c_1(c_2(c_0(c_1(c_0(c_1(c_0(c_1(c_1(c_1(c_2(c_1(c_1(c_2(c_1(c_2(c_2(c_1(c_1(c_2(c_1(c_1(c_2(c_1(c_2(c_0(c_0(c_2(c_2(c_2(c_1(c_2(c_0(c_0(c_0(c_0(c_1(c_1(c_0(c_0(x1)))))))))))))))))))))))))))))))))))))))))) -> 1'(2'(1'(0'(1'(2'(0'(1'(0'(2'(0'(2'(2'(2'(0'(1'(1'(1'(1'(2'(1'(0'(2'(2'(1'(0'(2'(2'(1'(1'(0'(2'(1'(2'(0'(2'(0'(2'(1'(0'(0'(0'(0'(x1))))))))))))))))))))))))))))))))))))))))))) [1] 0'(c_2(c_2(c_2(c_1(c_2(c_0(c_2(c_1(c_0(c_1(c_2(c_2(c_0(c_1(c_1(c_0(c_2(c_0(c_0(c_1(c_2(c_2(c_2(c_0(c_0(c_2(c_0(c_2(c_2(c_1(c_0(c_0(c_1(c_0(c_0(x1)))))))))))))))))))))))))))))))))))) -> 0'(0'(0'(2'(0'(0'(0'(2'(2'(2'(0'(1'(0'(2'(1'(2'(2'(0'(1'(2'(2'(0'(0'(0'(1'(0'(0'(0'(2'(0'(1'(1'(0'(2'(0'(2'(0'(x1))))))))))))))))))))))))))))))))))))) [1] 1'(c_2(c_1(c_1(c_1(c_2(c_1(c_0(c_2(c_2(c_0(c_1(c_2(c_0(c_0(c_1(c_0(c_0(c_2(c_1(c_2(c_1(c_2(c_1(c_0(c_1(c_0(c_2(c_1(c_0(x1)))))))))))))))))))))))))))))) -> 1'(0'(1'(0'(0'(0'(2'(0'(1'(1'(1'(2'(2'(2'(2'(1'(0'(2'(0'(2'(2'(1'(1'(0'(1'(2'(2'(1'(1'(1'(0'(x1))))))))))))))))))))))))))))))) [1] 1'(c_0(c_1(c_2(c_0(c_1(c_0(c_2(c_2(c_1(c_2(c_2(c_0(c_0(c_0(c_2(c_1(c_1(c_2(c_0(c_2(c_1(c_1(c_1(c_0(c_1(c_0(c_0(c_0(c_2(c_1(c_1(c_2(c_1(c_0(c_0(x1)))))))))))))))))))))))))))))))))))) -> 1'(1'(2'(1'(0'(2'(1'(1'(2'(0'(2'(1'(1'(1'(2'(2'(0'(2'(1'(2'(2'(1'(1'(1'(0'(1'(0'(2'(0'(0'(0'(2'(0'(2'(0'(0'(1'(x1))))))))))))))))))))))))))))))))))))) [1] 0'(c_2(c_1(c_1(c_1(c_0(c_2(c_1(c_1(c_0(c_0(c_2(c_1(c_0(c_2(c_1(c_1(c_0(c_2(c_2(c_1(c_0(c_2(c_0(c_1(c_0(c_2(c_1(c_0(c_1(c_1(c_2(c_2(c_1(c_0(c_1(c_2(c_2(c_0(c_0(x1)))))))))))))))))))))))))))))))))))))))) -> 0'(2'(1'(2'(2'(2'(2'(1'(1'(1'(1'(1'(2'(0'(0'(2'(0'(2'(0'(0'(2'(1'(1'(1'(0'(2'(0'(2'(2'(2'(1'(1'(1'(0'(0'(0'(1'(2'(2'(0'(2'(0'(x1)))))))))))))))))))))))))))))))))))))))))) [1] 2'(c_2(c_1(c_2(c_1(c_1(c_0(c_0(c_0(c_0(c_1(c_2(c_1(c_1(c_1(c_0(c_0(c_1(c_1(c_0(c_0(c_2(c_0(c_1(c_1(c_1(c_0(c_2(c_2(c_1(c_2(c_0(c_0(c_1(c_0(c_0(c_1(x1))))))))))))))))))))))))))))))))))))) -> 2'(0'(1'(2'(0'(2'(0'(1'(1'(0'(0'(1'(0'(1'(0'(2'(0'(1'(0'(2'(2'(2'(1'(2'(1'(0'(2'(0'(2'(0'(0'(2'(0'(1'(1'(1'(2'(0'(0'(2'(1'(0'(x1)))))))))))))))))))))))))))))))))))))))))) [1] 2'(c_1(c_2(c_0(c_0(c_2(c_1(c_0(c_1(c_2(c_1(c_2(c_0(c_0(c_0(c_0(c_1(c_1(c_1(c_0(c_2(c_0(c_1(c_0(c_2(c_1(c_2(c_1(c_2(c_0(c_2(c_1(c_1(c_1(c_1(c_0(c_1(c_0(c_0(c_1(c_1(c_0(x1)))))))))))))))))))))))))))))))))))))))))) -> 2'(2'(1'(1'(1'(1'(2'(2'(0'(2'(1'(1'(1'(2'(2'(1'(0'(1'(0'(1'(2'(0'(2'(2'(2'(1'(1'(2'(0'(1'(2'(0'(1'(0'(0'(2'(1'(0'(2'(0'(1'(0'(1'(x1))))))))))))))))))))))))))))))))))))))))))) [1] 0'(c_0(c_0(c_2(c_2(c_0(c_2(c_1(c_1(c_0(c_0(c_2(c_2(c_1(c_2(c_0(c_1(c_0(c_1(c_0(c_1(c_1(c_0(c_0(x1)))))))))))))))))))))))) -> 0'(0'(1'(0'(2'(0'(0'(1'(2'(2'(2'(2'(2'(1'(0'(1'(2'(1'(2'(0'(1'(1'(1'(1'(1'(x1))))))))))))))))))))))))) [1] 0'(c_1(c_1(c_1(c_0(c_1(c_0(c_0(c_2(c_1(c_0(c_0(c_1(c_0(c_0(c_0(c_0(c_1(c_1(c_2(c_1(c_1(c_1(c_0(c_0(c_0(c_1(c_2(c_0(c_2(c_2(c_2(c_2(c_0(c_2(c_0(c_0(x1))))))))))))))))))))))))))))))))))))) -> 0'(0'(2'(0'(1'(2'(0'(0'(1'(2'(0'(2'(1'(1'(0'(2'(1'(2'(2'(2'(2'(2'(0'(0'(1'(0'(1'(1'(2'(0'(0'(1'(1'(1'(1'(1'(2'(0'(x1)))))))))))))))))))))))))))))))))))))) [1] encArg(cons_0(cons_0(x_1'))) -> 0'(0'(encArg(x_1'))) [0] encArg(cons_0(cons_2(x_1''))) -> 0'(2'(encArg(x_1''))) [0] encArg(cons_0(cons_1(x_11))) -> 0'(1'(encArg(x_11))) [0] encArg(cons_0(x_1)) -> 0'(const) [0] encArg(cons_2(cons_0(x_12))) -> 2'(0'(encArg(x_12))) [0] encArg(cons_2(cons_2(x_13))) -> 2'(2'(encArg(x_13))) [0] encArg(cons_2(cons_1(x_14))) -> 2'(1'(encArg(x_14))) [0] encArg(cons_2(x_1)) -> 2'(const) [0] encArg(cons_1(cons_0(x_15))) -> 1'(0'(encArg(x_15))) [0] encArg(cons_1(cons_2(x_16))) -> 1'(2'(encArg(x_16))) [0] encArg(cons_1(cons_1(x_17))) -> 1'(1'(encArg(x_17))) [0] encArg(cons_1(x_1)) -> 1'(const) [0] encode_0(cons_0(x_18)) -> 0'(0'(encArg(x_18))) [0] encode_0(cons_2(x_19)) -> 0'(2'(encArg(x_19))) [0] encode_0(cons_1(x_110)) -> 0'(1'(encArg(x_110))) [0] encode_0(x_1) -> 0'(const) [0] encode_1(cons_0(x_111)) -> 1'(0'(encArg(x_111))) [0] encode_1(cons_2(x_112)) -> 1'(2'(encArg(x_112))) [0] encode_1(cons_1(x_113)) -> 1'(1'(encArg(x_113))) [0] encode_1(x_1) -> 1'(const) [0] encode_2(cons_0(x_114)) -> 2'(0'(encArg(x_114))) [0] encode_2(cons_2(x_115)) -> 2'(2'(encArg(x_115))) [0] encode_2(cons_1(x_116)) -> 2'(1'(encArg(x_116))) [0] encode_2(x_1) -> 2'(const) [0] 0'(x0) -> c_0(x0) [0] 1'(x0) -> c_1(x0) [0] 2'(x0) -> c_2(x0) [0] encArg(v0) -> const [0] encode_0(v0) -> const [0] encode_1(v0) -> const [0] encode_2(v0) -> const [0] 0'(v0) -> const [0] 1'(v0) -> const [0] 2'(v0) -> const [0] The TRS has the following type information: 0' :: c_1:c_2:c_0:const -> c_1:c_2:c_0:const c_1 :: c_1:c_2:c_0:const -> c_1:c_2:c_0:const c_0 :: c_1:c_2:c_0:const -> c_1:c_2:c_0:const c_2 :: c_1:c_2:c_0:const -> c_1:c_2:c_0:const 2' :: c_1:c_2:c_0:const -> c_1:c_2:c_0:const 1' :: c_1:c_2:c_0:const -> c_1:c_2:c_0:const encArg :: cons_0:cons_2:cons_1 -> c_1:c_2:c_0:const cons_0 :: cons_0:cons_2:cons_1 -> cons_0:cons_2:cons_1 cons_2 :: cons_0:cons_2:cons_1 -> cons_0:cons_2:cons_1 cons_1 :: cons_0:cons_2:cons_1 -> cons_0:cons_2:cons_1 encode_0 :: cons_0:cons_2:cons_1 -> c_1:c_2:c_0:const encode_1 :: cons_0:cons_2:cons_1 -> c_1:c_2:c_0:const encode_2 :: cons_0:cons_2:cons_1 -> c_1:c_2:c_0:const const :: c_1:c_2:c_0:const const1 :: cons_0:cons_2:cons_1 Rewrite Strategy: INNERMOST ---------------------------------------- (27) CpxTypedWeightedTrsToRntsProof (UPPER BOUND(ID)) Transformed the TRS into an over-approximating RNTS by (improved) Size Abstraction. The constant constructors are abstracted as follows: const => 0 const1 => 0 ---------------------------------------- (28) Obligation: Complexity RNTS consisting of the following rules: 0'(z) -{ 1 }-> 0'(2'(2'(1'(0'(0'(0'(2'(2'(1'(0'(2'(0'(2'(0'(1'(2'(0'(1'(2'(0'(1'(2'(0'(2'(0'(1'(2'(1'(2'(1'(x1))))))))))))))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))))))))))))))) 0'(z) -{ 1 }-> 0'(2'(2'(0'(2'(2'(2'(0'(0'(2'(2'(1'(0'(1'(0'(0'(2'(2'(1'(1'(0'(2'(2'(0'(2'(2'(2'(0'(1'(2'(0'(0'(2'(0'(2'(0'(2'(1'(1'(2'(2'(1'(2'(1'(1'(0'(x1)))))))))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1))))))))))))))))))))))))))))))))))))))))))), x1 >= 0 0'(z) -{ 1 }-> 0'(2'(1'(2'(2'(2'(2'(1'(1'(1'(1'(1'(2'(0'(0'(2'(0'(2'(0'(0'(2'(1'(1'(1'(0'(2'(0'(2'(2'(2'(1'(1'(1'(0'(0'(0'(1'(2'(2'(0'(2'(0'(x1)))))))))))))))))))))))))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))))))))))))))))))))))))) 0'(z) -{ 1 }-> 0'(2'(1'(2'(0'(2'(0'(1'(0'(1'(0'(0'(1'(2'(0'(2'(2'(1'(0'(2'(1'(2'(0'(0'(1'(2'(1'(2'(2'(2'(1'(2'(1'(1'(1'(x1))))))))))))))))))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1))))))))))))))))))))))))))))))))) 0'(z) -{ 1 }-> 0'(2'(1'(1'(0'(2'(2'(0'(2'(2'(0'(0'(2'(0'(1'(2'(1'(2'(x1)))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1))))))))))))))) 0'(z) -{ 1 }-> 0'(2'(0'(2'(0'(2'(0'(2'(0'(1'(2'(x1))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))) 0'(z) -{ 1 }-> 0'(2'(0'(1'(0'(1'(1'(1'(1'(x1))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))) 0'(z) -{ 1 }-> 0'(1'(1'(1'(2'(0'(0'(0'(0'(1'(1'(2'(0'(2'(0'(2'(0'(0'(0'(2'(2'(0'(0'(0'(0'(2'(2'(0'(1'(1'(0'(0'(1'(2'(1'(2'(0'(1'(2'(0'(0'(2'(0'(0'(0'(x1))))))))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))))))))))))))))))))))))))), x1 >= 0 0'(z) -{ 1 }-> 0'(1'(1'(1'(1'(2'(0'(2'(1'(0'(0'(0'(1'(0'(0'(0'(x1)))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))) 0'(z) -{ 1 }-> 0'(1'(1'(0'(2'(1'(1'(1'(0'(2'(0'(1'(2'(0'(0'(0'(2'(2'(1'(0'(2'(2'(2'(1'(1'(1'(2'(1'(0'(2'(1'(1'(0'(1'(2'(0'(1'(1'(1'(x1))))))))))))))))))))))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1))))))))))))))))))))))))))))))))))) 0'(z) -{ 1 }-> 0'(1'(0'(0'(2'(0'(2'(0'(0'(2'(1'(0'(0'(2'(2'(1'(1'(2'(2'(2'(1'(2'(0'(1'(1'(2'(0'(2'(0'(2'(1'(2'(0'(2'(0'(1'(2'(0'(2'(1'(0'(0'(1'(x1))))))))))))))))))))))))))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))))))))))))))))))))))))) 0'(z) -{ 1 }-> 0'(1'(0'(0'(2'(0'(1'(1'(2'(2'(0'(0'(1'(0'(2'(0'(1'(1'(1'(1'(1'(2'(2'(2'(x1)))))))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1))))))))))))))))))))) 0'(z) -{ 1 }-> 0'(0'(2'(1'(1'(2'(0'(1'(2'(2'(2'(0'(2'(1'(2'(2'(0'(2'(1'(0'(0'(1'(2'(0'(0'(2'(0'(1'(0'(2'(0'(2'(x1)))))))))))))))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1))))))))))))))))))))))))))))) 0'(z) -{ 1 }-> 0'(0'(2'(0'(1'(2'(0'(0'(1'(2'(0'(2'(1'(1'(0'(2'(1'(2'(2'(2'(2'(2'(0'(0'(1'(0'(1'(1'(2'(0'(0'(1'(1'(1'(1'(1'(2'(0'(x1)))))))))))))))))))))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1))))))))))))))))))))))))))))))))))) 0'(z) -{ 1 }-> 0'(0'(2'(0'(1'(1'(1'(0'(0'(2'(1'(1'(2'(0'(0'(2'(2'(0'(1'(1'(1'(2'(0'(2'(0'(2'(1'(2'(1'(0'(x1)))))))))))))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))))))))))))))) 0'(z) -{ 1 }-> 0'(0'(2'(0'(0'(2'(2'(0'(0'(1'(1'(2'(1'(1'(1'(2'(0'(0'(1'(1'(2'(0'(2'(0'(2'(2'(1'(2'(2'(x1))))))))))))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))))))))))))) 0'(z) -{ 1 }-> 0'(0'(1'(1'(1'(2'(1'(2'(2'(0'(0'(1'(2'(2'(1'(2'(2'(1'(2'(0'(1'(0'(2'(0'(0'(2'(0'(2'(1'(0'(2'(1'(x1)))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))))))))))))))))), x1 >= 0 0'(z) -{ 1 }-> 0'(0'(1'(0'(2'(2'(0'(2'(0'(0'(2'(0'(2'(0'(1'(2'(0'(2'(0'(2'(0'(0'(1'(1'(2'(1'(0'(1'(0'(1'(2'(2'(0'(2'(2'(1'(0'(0'(2'(0'(2'(1'(0'(x1))))))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))))))))))))))))))))))))))), x1 >= 0 0'(z) -{ 1 }-> 0'(0'(1'(0'(2'(0'(0'(1'(2'(2'(2'(2'(2'(1'(0'(1'(2'(1'(2'(0'(1'(1'(1'(1'(1'(x1))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))))))))), x1 >= 0 0'(z) -{ 1 }-> 0'(0'(0'(2'(0'(0'(0'(2'(2'(2'(0'(1'(0'(2'(1'(2'(2'(0'(1'(2'(2'(0'(0'(0'(1'(0'(0'(0'(2'(0'(1'(1'(0'(2'(0'(2'(0'(x1))))))))))))))))))))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))))))))))))))))))))) 0'(z) -{ 0 }-> 0 :|: v0 >= 0, z = v0 0'(z) -{ 0 }-> 1 + x0 :|: z = x0, x0 >= 0 1'(z) -{ 1 }-> 2'(0'(2'(1'(0'(2'(2'(2'(0'(0'(0'(2'(2'(2'(2'(0'(2'(0'(2'(0'(x1)))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1))))))))))))))))) 1'(z) -{ 1 }-> 2'(0'(0'(2'(1'(0'(2'(2'(2'(0'(0'(2'(2'(2'(2'(0'(0'(0'(2'(0'(1'(2'(0'(0'(0'(x1))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))))))))), x1 >= 0 1'(z) -{ 1 }-> 2'(0'(0'(2'(0'(2'(1'(0'(0'(1'(0'(0'(0'(1'(1'(1'(0'(2'(1'(0'(1'(2'(0'(0'(1'(1'(2'(2'(1'(0'(0'(2'(0'(0'(1'(2'(1'(0'(1'(x1))))))))))))))))))))))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))))))))))))))))))))))) 1'(z) -{ 1 }-> 2'(0'(0'(0'(2'(2'(1'(2'(0'(2'(0'(1'(0'(0'(2'(0'(2'(0'(0'(2'(1'(0'(x1)))))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1))))))))))))))))))) 1'(z) -{ 1 }-> 1'(2'(2'(1'(2'(1'(1'(1'(1'(1'(2'(2'(1'(1'(1'(0'(2'(2'(2'(0'(2'(0'(0'(2'(2'(0'(0'(0'(2'(0'(2'(0'(2'(2'(2'(1'(0'(2'(0'(2'(2'(x1))))))))))))))))))))))))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1))))))))))))))))))))))))))))))))))))) 1'(z) -{ 1 }-> 1'(2'(1'(0'(1'(2'(0'(1'(0'(2'(0'(2'(2'(2'(0'(1'(1'(1'(1'(2'(1'(0'(2'(2'(1'(0'(2'(2'(1'(1'(0'(2'(1'(2'(0'(2'(0'(2'(1'(0'(0'(0'(0'(x1))))))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))))))))))))))))))))))))))), x1 >= 0 1'(z) -{ 1 }-> 1'(2'(0'(0'(1'(1'(0'(0'(1'(2'(x1)))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))) 1'(z) -{ 1 }-> 1'(1'(2'(1'(1'(1'(0'(1'(2'(0'(0'(1'(2'(2'(0'(2'(0'(0'(2'(0'(1'(0'(2'(0'(0'(1'(0'(0'(0'(2'(0'(2'(1'(2'(2'(0'(1'(x1))))))))))))))))))))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))))))))))))))))))) 1'(z) -{ 1 }-> 1'(1'(2'(1'(0'(2'(1'(1'(2'(0'(2'(1'(1'(1'(2'(2'(0'(2'(1'(2'(2'(1'(1'(1'(0'(1'(0'(2'(0'(0'(0'(2'(0'(2'(0'(0'(1'(x1))))))))))))))))))))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))))))))))))))))))))) 1'(z) -{ 1 }-> 1'(1'(2'(1'(0'(2'(0'(2'(2'(2'(1'(1'(1'(1'(0'(2'(1'(1'(2'(1'(0'(0'(2'(1'(0'(0'(2'(0'(2'(1'(2'(2'(1'(0'(1'(1'(2'(0'(1'(0'(2'(2'(2'(0'(0'(x1))))))))))))))))))))))))))))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))))))))))))))))))))))))))))) 1'(z) -{ 1 }-> 1'(1'(1'(2'(1'(0'(2'(1'(0'(2'(1'(1'(2'(2'(1'(2'(1'(1'(1'(2'(1'(0'(2'(0'(0'(2'(0'(2'(2'(1'(1'(2'(x1)))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))))))))))))))))), x1 >= 0 1'(z) -{ 1 }-> 1'(1'(1'(1'(2'(0'(2'(0'(0'(1'(2'(0'(0'(0'(0'(2'(2'(1'(0'(0'(2'(0'(1'(2'(0'(1'(2'(0'(0'(x1))))))))))))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))))))))))))) 1'(z) -{ 1 }-> 1'(1'(1'(1'(2'(0'(1'(1'(1'(0'(1'(0'(2'(0'(0'(1'(1'(2'(1'(0'(2'(2'(0'(0'(0'(0'(1'(2'(0'(1'(0'(0'(2'(0'(1'(2'(0'(x1))))))))))))))))))))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1))))))))))))))))))))))))))))))))) 1'(z) -{ 1 }-> 1'(1'(0'(1'(2'(2'(0'(2'(0'(1'(2'(2'(2'(x1))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))) 1'(z) -{ 1 }-> 1'(0'(2'(0'(1'(1'(2'(1'(1'(x1))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1))))))) 1'(z) -{ 1 }-> 1'(0'(2'(0'(1'(1'(2'(0'(2'(1'(0'(0'(1'(2'(2'(0'(1'(1'(2'(0'(2'(2'(1'(2'(2'(2'(2'(1'(1'(1'(2'(x1))))))))))))))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))))))))))))))) 1'(z) -{ 1 }-> 1'(0'(2'(0'(1'(0'(2'(0'(1'(1'(0'(0'(0'(1'(2'(0'(1'(1'(1'(0'(2'(0'(2'(0'(0'(2'(0'(2'(2'(1'(2'(0'(2'(2'(0'(1'(0'(x1))))))))))))))))))))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1))))))))))))))))))))))))))))))))) 1'(z) -{ 1 }-> 1'(0'(1'(0'(2'(2'(0'(2'(0'(1'(1'(2'(2'(1'(2'(2'(2'(2'(0'(0'(1'(1'(0'(1'(0'(2'(0'(x1))))))))))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))))))))))) 1'(z) -{ 1 }-> 1'(0'(1'(0'(0'(0'(2'(0'(1'(1'(1'(2'(2'(2'(2'(1'(0'(2'(0'(2'(2'(1'(1'(0'(1'(2'(2'(1'(1'(1'(0'(x1))))))))))))))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))))))))))))))) 1'(z) -{ 1 }-> 1'(0'(0'(2'(1'(0'(1'(2'(2'(1'(0'(1'(2'(1'(0'(1'(0'(1'(2'(0'(2'(2'(1'(0'(2'(1'(2'(2'(2'(0'(0'(1'(2'(0'(2'(0'(0'(1'(1'(0'(2'(1'(2'(0'(1'(x1))))))))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1))))))))))))))))))))))))))))))))))))))))), x1 >= 0 1'(z) -{ 0 }-> 0 :|: v0 >= 0, z = v0 1'(z) -{ 0 }-> 1 + x0 :|: z = x0, x0 >= 0 2'(z) -{ 1 }-> 2'(2'(2'(0'(0'(1'(2'(0'(0'(2'(0'(1'(1'(0'(2'(0'(1'(2'(0'(1'(0'(0'(2'(0'(2'(1'(1'(0'(2'(1'(0'(0'(2'(2'(1'(2'(2'(2'(0'(1'(1'(2'(0'(2'(0'(x1))))))))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))))))))))))))))))))))))))), x1 >= 0 2'(z) -{ 1 }-> 2'(2'(1'(1'(1'(1'(2'(2'(0'(2'(1'(1'(1'(2'(2'(1'(0'(1'(0'(1'(2'(0'(2'(2'(2'(1'(1'(2'(0'(1'(2'(0'(1'(0'(0'(2'(1'(0'(2'(0'(1'(0'(1'(x1))))))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))))))))))))))))))))))))))), x1 >= 0 2'(z) -{ 1 }-> 2'(2'(0'(0'(1'(2'(0'(2'(1'(2'(1'(1'(1'(2'(2'(1'(0'(0'(1'(0'(0'(2'(0'(1'(2'(1'(2'(1'(0'(2'(0'(2'(0'(1'(1'(1'(0'(1'(1'(0'(x1)))))))))))))))))))))))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))))))))))))))))))))))))) 2'(z) -{ 1 }-> 2'(1'(2'(0'(0'(1'(2'(0'(1'(2'(0'(0'(0'(2'(2'(0'(2'(0'(1'(0'(0'(0'(2'(0'(0'(2'(2'(0'(2'(2'(2'(0'(0'(2'(0'(1'(0'(2'(0'(1'(0'(x1))))))))))))))))))))))))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1))))))))))))))))))))))))))))))))))))) 2'(z) -{ 1 }-> 2'(1'(1'(2'(1'(1'(1'(0'(2'(0'(1'(1'(1'(2'(0'(0'(2'(2'(1'(2'(2'(2'(2'(0'(2'(0'(1'(1'(0'(1'(2'(2'(2'(1'(1'(2'(1'(1'(1'(0'(0'(0'(2'(0'(1'(0'(x1)))))))))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1))))))))))))))))))))))))))))))))))))))))))), x1 >= 0 2'(z) -{ 1 }-> 2'(1'(1'(0'(1'(2'(0'(0'(2'(0'(2'(0'(2'(1'(0'(1'(2'(0'(1'(0'(2'(1'(1'(2'(0'(0'(x1)))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))))))))), x1 >= 0 2'(z) -{ 1 }-> 2'(1'(0'(2'(2'(1'(0'(0'(0'(2'(2'(2'(1'(2'(0'(1'(0'(0'(1'(0'(0'(0'(2'(1'(1'(0'(0'(2'(0'(1'(2'(0'(2'(2'(1'(0'(2'(0'(0'(x1))))))))))))))))))))))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))))))))))))))))))))))) 2'(z) -{ 1 }-> 2'(0'(2'(0'(2'(0'(2'(0'(2'(0'(2'(1'(2'(1'(0'(0'(1'(0'(0'(2'(1'(2'(0'(2'(0'(0'(2'(1'(2'(2'(1'(1'(2'(2'(2'(1'(2'(1'(0'(0'(2'(0'(0'(2'(2'(2'(1'(0'(2'(0'(x1)))))))))))))))))))))))))))))))))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1))))))))))))))))))))))))))))))))))))))))))))) 2'(z) -{ 1 }-> 2'(0'(1'(2'(1'(2'(0'(2'(0'(1'(2'(0'(1'(1'(0'(2'(2'(0'(0'(1'(1'(2'(2'(1'(1'(1'(2'(1'(2'(2'(0'(2'(2'(1'(0'(1'(1'(1'(1'(1'(0'(1'(2'(0'(x1)))))))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1))))))))))))))))))))))))))))))))))))))))), x1 >= 0 2'(z) -{ 1 }-> 2'(0'(1'(2'(0'(2'(0'(1'(1'(0'(0'(1'(0'(1'(0'(2'(0'(1'(0'(2'(2'(2'(1'(2'(1'(0'(2'(0'(2'(0'(0'(2'(0'(1'(1'(1'(2'(0'(0'(2'(1'(0'(x1)))))))))))))))))))))))))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1))))))))))))))))))))))))))))))))))) 2'(z) -{ 1 }-> 2'(0'(0'(2'(0'(0'(1'(2'(2'(2'(2'(2'(1'(2'(0'(2'(0'(1'(2'(1'(0'(0'(1'(1'(0'(1'(1'(1'(2'(0'(2'(0'(2'(1'(0'(1'(2'(0'(1'(2'(0'(1'(x1)))))))))))))))))))))))))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))))))))))))))))))))))))) 2'(z) -{ 1 }-> 2'(0'(0'(2'(0'(0'(1'(2'(0'(2'(2'(0'(2'(2'(2'(0'(0'(0'(1'(0'(2'(0'(0'(1'(2'(0'(0'(2'(0'(1'(2'(0'(0'(1'(0'(x1))))))))))))))))))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))))))))))))))))))) 2'(z) -{ 1 }-> 2'(0'(0'(1'(2'(1'(1'(2'(0'(2'(0'(1'(1'(1'(1'(2'(0'(1'(2'(1'(2'(2'(2'(2'(2'(2'(0'(2'(2'(x1))))))))))))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))))))))))))) 2'(z) -{ 1 }-> 1'(2'(2'(2'(0'(2'(0'(2'(1'(2'(0'(0'(0'(1'(1'(0'(1'(2'(0'(0'(0'(2'(0'(0'(0'(1'(0'(2'(2'(2'(2'(1'(0'(2'(2'(x1))))))))))))))))))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))))))))))))))))))) 2'(z) -{ 1 }-> 1'(2'(2'(0'(0'(1'(2'(0'(x1)))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))) 2'(z) -{ 1 }-> 1'(2'(2'(0'(0'(0'(1'(1'(0'(2'(0'(2'(0'(0'(2'(0'(1'(1'(2'(0'(2'(0'(1'(2'(1'(2'(1'(2'(1'(0'(2'(2'(2'(1'(0'(1'(0'(1'(0'(x1))))))))))))))))))))))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1))))))))))))))))))))))))))))))))))) 2'(z) -{ 1 }-> 1'(2'(1'(2'(2'(0'(0'(2'(0'(0'(0'(2'(2'(1'(0'(2'(0'(0'(2'(0'(2'(1'(x1)))))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1))))))))))))))))))) 2'(z) -{ 1 }-> 1'(2'(0'(1'(1'(2'(0'(2'(2'(0'(2'(1'(0'(2'(0'(2'(0'(1'(1'(0'(1'(2'(2'(1'(0'(1'(0'(0'(0'(2'(0'(2'(2'(1'(0'(0'(0'(1'(0'(1'(x1)))))))))))))))))))))))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1))))))))))))))))))))))))))))))))))))) 2'(z) -{ 1 }-> 1'(0'(2'(1'(1'(2'(1'(1'(2'(0'(0'(2'(2'(0'(2'(0'(1'(2'(1'(0'(2'(0'(1'(2'(1'(2'(2'(2'(2'(0'(2'(2'(2'(1'(0'(2'(0'(0'(1'(1'(x1)))))))))))))))))))))))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1))))))))))))))))))))))))))))))))))))) 2'(z) -{ 1 }-> 1'(0'(2'(1'(0'(2'(0'(2'(2'(0'(0'(2'(0'(0'(0'(2'(0'(1'(1'(1'(2'(0'(x1)))))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))))) 2'(z) -{ 1 }-> 1'(0'(2'(0'(2'(0'(0'(0'(0'(2'(2'(0'(0'(2'(0'(0'(2'(0'(2'(1'(0'(0'(2'(0'(1'(2'(0'(0'(0'(1'(2'(1'(1'(2'(0'(2'(x1)))))))))))))))))))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))))))))))))))))))) 2'(z) -{ 1 }-> 1'(0'(2'(0'(1'(0'(1'(0'(2'(0'(1'(1'(1'(2'(1'(0'(2'(0'(2'(0'(2'(2'(0'(0'(2'(0'(2'(x1))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1))))))))))))))))))))))), x1 >= 0 2'(z) -{ 1 }-> 1'(0'(1'(2'(1'(2'(1'(2'(2'(2'(1'(0'(2'(1'(0'(0'(2'(0'(0'(0'(2'(0'(1'(0'(1'(1'(2'(2'(0'(1'(1'(0'(2'(0'(0'(2'(0'(1'(0'(1'(x1)))))))))))))))))))))))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1))))))))))))))))))))))))))))))))))) 2'(z) -{ 1 }-> 1'(0'(1'(1'(2'(1'(1'(2'(1'(0'(0'(0'(1'(0'(0'(2'(0'(0'(2'(0'(1'(0'(1'(x1))))))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))))))) 2'(z) -{ 1 }-> 1'(0'(0'(1'(0'(0'(2'(1'(2'(2'(1'(0'(2'(1'(2'(2'(1'(0'(1'(1'(2'(1'(0'(2'(0'(1'(2'(2'(0'(2'(0'(x1))))))))))))))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))))))))))))))) 2'(z) -{ 1 }-> 0'(2'(2'(2'(1'(2'(1'(2'(0'(1'(1'(1'(1'(1'(2'(2'(0'(0'(0'(2'(2'(2'(1'(1'(0'(1'(1'(0'(1'(1'(1'(2'(0'(0'(2'(0'(1'(1'(2'(2'(2'(1'(0'(2'(2'(2'(2'(2'(0'(x1))))))))))))))))))))))))))))))))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1))))))))))))))))))))))))))))))))))))))))))))) 2'(z) -{ 1 }-> 0'(2'(2'(0'(1'(2'(1'(0'(2'(0'(2'(0'(0'(1'(2'(2'(1'(1'(2'(2'(2'(0'(1'(2'(0'(0'(2'(2'(0'(0'(0'(1'(2'(2'(1'(2'(2'(1'(0'(2'(1'(1'(1'(1'(0'(1'(0'(2'(0'(x1))))))))))))))))))))))))))))))))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1))))))))))))))))))))))))))))))))))))))))))))) 2'(z) -{ 1 }-> 0'(2'(1'(2'(2'(0'(1'(0'(1'(2'(0'(0'(1'(1'(1'(0'(1'(1'(1'(1'(2'(0'(2'(2'(0'(2'(1'(0'(2'(x1))))))))))))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1))))))))))))))))))))))))))) 2'(z) -{ 1 }-> 0'(2'(0'(1'(2'(1'(1'(0'(2'(2'(0'(0'(0'(0'(2'(0'(1'(0'(2'(1'(2'(2'(0'(1'(0'(1'(0'(1'(2'(0'(0'(2'(2'(0'(1'(0'(x1)))))))))))))))))))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1))))))))))))))))))))))))))))))))) 2'(z) -{ 1 }-> 0'(1'(2'(2'(0'(2'(0'(0'(0'(2'(0'(2'(1'(2'(0'(0'(1'(0'(2'(0'(0'(2'(0'(1'(1'(2'(1'(1'(0'(2'(1'(2'(1'(2'(0'(0'(0'(1'(2'(0'(0'(1'(0'(x1))))))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))))))))))))))))))))))))))), x1 >= 0 2'(z) -{ 1 }-> 0'(1'(2'(0'(1'(2'(0'(2'(0'(2'(1'(2'(0'(0'(1'(2'(1'(1'(2'(0'(0'(1'(2'(2'(1'(2'(1'(0'(0'(1'(2'(1'(0'(0'(0'(0'(x1)))))))))))))))))))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))))))))))))))))))) 2'(z) -{ 1 }-> 0'(1'(0'(0'(1'(0'(0'(1'(2'(0'(2'(0'(2'(0'(2'(0'(2'(2'(1'(0'(2'(1'(1'(1'(1'(1'(1'(0'(1'(0'(1'(1'(0'(0'(0'(x1))))))))))))))))))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))))))))))))))))))) 2'(z) -{ 1 }-> 0'(0'(2'(0'(2'(0'(0'(2'(0'(0'(0'(1'(1'(1'(x1)))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1))))))))))) 2'(z) -{ 1 }-> 0'(0'(2'(0'(0'(1'(2'(0'(0'(1'(1'(0'(2'(0'(2'(2'(0'(1'(0'(2'(1'(0'(0'(x1))))))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1))))))))))))))))))))) 2'(z) -{ 1 }-> 0'(0'(2'(0'(0'(0'(1'(2'(1'(2'(0'(1'(1'(0'(2'(0'(1'(0'(1'(2'(0'(0'(1'(1'(2'(0'(0'(1'(1'(0'(2'(2'(0'(2'(2'(1'(1'(x1))))))))))))))))))))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1))))))))))))))))))))))))))))))))) 2'(z) -{ 0 }-> 0 :|: v0 >= 0, z = v0 2'(z) -{ 0 }-> 1 + x0 :|: z = x0, x0 >= 0 encArg(z) -{ 0 }-> 2'(2'(encArg(x_13))) :|: z = 1 + (1 + x_13), x_13 >= 0 encArg(z) -{ 0 }-> 2'(1'(encArg(x_14))) :|: x_14 >= 0, z = 1 + (1 + x_14) encArg(z) -{ 0 }-> 2'(0'(encArg(x_12))) :|: z = 1 + (1 + x_12), x_12 >= 0 encArg(z) -{ 0 }-> 2'(0) :|: z = 1 + x_1, x_1 >= 0 encArg(z) -{ 0 }-> 1'(2'(encArg(x_16))) :|: x_16 >= 0, z = 1 + (1 + x_16) encArg(z) -{ 0 }-> 1'(1'(encArg(x_17))) :|: x_17 >= 0, z = 1 + (1 + x_17) encArg(z) -{ 0 }-> 1'(0'(encArg(x_15))) :|: x_15 >= 0, z = 1 + (1 + x_15) encArg(z) -{ 0 }-> 1'(0) :|: z = 1 + x_1, x_1 >= 0 encArg(z) -{ 0 }-> 0'(2'(encArg(x_1''))) :|: z = 1 + (1 + x_1''), x_1'' >= 0 encArg(z) -{ 0 }-> 0'(1'(encArg(x_11))) :|: x_11 >= 0, z = 1 + (1 + x_11) encArg(z) -{ 0 }-> 0'(0'(encArg(x_1'))) :|: z = 1 + (1 + x_1'), x_1' >= 0 encArg(z) -{ 0 }-> 0'(0) :|: z = 1 + x_1, x_1 >= 0 encArg(z) -{ 0 }-> 0 :|: v0 >= 0, z = v0 encode_0(z) -{ 0 }-> 0'(2'(encArg(x_19))) :|: z = 1 + x_19, x_19 >= 0 encode_0(z) -{ 0 }-> 0'(1'(encArg(x_110))) :|: z = 1 + x_110, x_110 >= 0 encode_0(z) -{ 0 }-> 0'(0'(encArg(x_18))) :|: z = 1 + x_18, x_18 >= 0 encode_0(z) -{ 0 }-> 0'(0) :|: x_1 >= 0, z = x_1 encode_0(z) -{ 0 }-> 0 :|: v0 >= 0, z = v0 encode_1(z) -{ 0 }-> 1'(2'(encArg(x_112))) :|: z = 1 + x_112, x_112 >= 0 encode_1(z) -{ 0 }-> 1'(1'(encArg(x_113))) :|: z = 1 + x_113, x_113 >= 0 encode_1(z) -{ 0 }-> 1'(0'(encArg(x_111))) :|: z = 1 + x_111, x_111 >= 0 encode_1(z) -{ 0 }-> 1'(0) :|: x_1 >= 0, z = x_1 encode_1(z) -{ 0 }-> 0 :|: v0 >= 0, z = v0 encode_2(z) -{ 0 }-> 2'(2'(encArg(x_115))) :|: x_115 >= 0, z = 1 + x_115 encode_2(z) -{ 0 }-> 2'(1'(encArg(x_116))) :|: x_116 >= 0, z = 1 + x_116 encode_2(z) -{ 0 }-> 2'(0'(encArg(x_114))) :|: x_114 >= 0, z = 1 + x_114 encode_2(z) -{ 0 }-> 2'(0) :|: x_1 >= 0, z = x_1 encode_2(z) -{ 0 }-> 0 :|: v0 >= 0, z = v0 ---------------------------------------- (29) SimplificationProof (BOTH BOUNDS(ID, ID)) Simplified the RNTS by moving equalities from the constraints into the right-hand sides. ---------------------------------------- (30) Obligation: Complexity RNTS consisting of the following rules: 0'(z) -{ 1 }-> 0'(2'(2'(1'(0'(0'(0'(2'(2'(1'(0'(2'(0'(2'(0'(1'(2'(0'(1'(2'(0'(1'(2'(0'(2'(0'(1'(2'(1'(2'(1'(z - 29))))))))))))))))))))))))))))))) :|: z - 29 >= 0 0'(z) -{ 1 }-> 0'(2'(2'(0'(2'(2'(2'(0'(0'(2'(2'(1'(0'(1'(0'(0'(2'(2'(1'(1'(0'(2'(2'(0'(2'(2'(2'(0'(1'(2'(0'(0'(2'(0'(2'(0'(2'(1'(1'(2'(2'(1'(2'(1'(1'(0'(z - 44)))))))))))))))))))))))))))))))))))))))))))))) :|: z - 44 >= 0 0'(z) -{ 1 }-> 0'(2'(1'(2'(2'(2'(2'(1'(1'(1'(1'(1'(2'(0'(0'(2'(0'(2'(0'(0'(2'(1'(1'(1'(0'(2'(0'(2'(2'(2'(1'(1'(1'(0'(0'(0'(1'(2'(2'(0'(2'(0'(z - 39)))))))))))))))))))))))))))))))))))))))))) :|: z - 39 >= 0 0'(z) -{ 1 }-> 0'(2'(1'(2'(0'(2'(0'(1'(0'(1'(0'(0'(1'(2'(0'(2'(2'(1'(0'(2'(1'(2'(0'(0'(1'(2'(1'(2'(2'(2'(1'(2'(1'(1'(1'(z - 34))))))))))))))))))))))))))))))))))) :|: z - 34 >= 0 0'(z) -{ 1 }-> 0'(2'(1'(1'(0'(2'(2'(0'(2'(2'(0'(0'(2'(0'(1'(2'(1'(2'(z - 16)))))))))))))))))) :|: z - 16 >= 0 0'(z) -{ 1 }-> 0'(2'(0'(2'(0'(2'(0'(2'(0'(1'(2'(z - 9))))))))))) :|: z - 9 >= 0 0'(z) -{ 1 }-> 0'(2'(0'(1'(0'(1'(1'(1'(1'(z - 7))))))))) :|: z - 7 >= 0 0'(z) -{ 1 }-> 0'(1'(1'(1'(2'(0'(0'(0'(0'(1'(1'(2'(0'(2'(0'(2'(0'(0'(0'(2'(2'(0'(0'(0'(0'(2'(2'(0'(1'(1'(0'(0'(1'(2'(1'(2'(0'(1'(2'(0'(0'(2'(0'(0'(0'(z - 41))))))))))))))))))))))))))))))))))))))))))))) :|: z - 41 >= 0 0'(z) -{ 1 }-> 0'(1'(1'(1'(1'(2'(0'(2'(1'(0'(0'(0'(1'(0'(0'(0'(z - 15)))))))))))))))) :|: z - 15 >= 0 0'(z) -{ 1 }-> 0'(1'(1'(0'(2'(1'(1'(1'(0'(2'(0'(1'(2'(0'(0'(0'(2'(2'(1'(0'(2'(2'(2'(1'(1'(1'(2'(1'(0'(2'(1'(1'(0'(1'(2'(0'(1'(1'(1'(z - 36))))))))))))))))))))))))))))))))))))))) :|: z - 36 >= 0 0'(z) -{ 1 }-> 0'(1'(0'(0'(2'(0'(2'(0'(0'(2'(1'(0'(0'(2'(2'(1'(1'(2'(2'(2'(1'(2'(0'(1'(1'(2'(0'(2'(0'(2'(1'(2'(0'(2'(0'(1'(2'(0'(2'(1'(0'(0'(1'(z - 39))))))))))))))))))))))))))))))))))))))))))) :|: z - 39 >= 0 0'(z) -{ 1 }-> 0'(1'(0'(0'(2'(0'(1'(1'(2'(2'(0'(0'(1'(0'(2'(0'(1'(1'(1'(1'(1'(2'(2'(2'(z - 22)))))))))))))))))))))))) :|: z - 22 >= 0 0'(z) -{ 1 }-> 0'(0'(2'(1'(1'(2'(0'(1'(2'(2'(2'(0'(2'(1'(2'(2'(0'(2'(1'(0'(0'(1'(2'(0'(0'(2'(0'(1'(0'(2'(0'(2'(z - 30)))))))))))))))))))))))))))))))) :|: z - 30 >= 0 0'(z) -{ 1 }-> 0'(0'(2'(0'(1'(2'(0'(0'(1'(2'(0'(2'(1'(1'(0'(2'(1'(2'(2'(2'(2'(2'(0'(0'(1'(0'(1'(1'(2'(0'(0'(1'(1'(1'(1'(1'(2'(0'(z - 36)))))))))))))))))))))))))))))))))))))) :|: z - 36 >= 0 0'(z) -{ 1 }-> 0'(0'(2'(0'(1'(1'(1'(0'(0'(2'(1'(1'(2'(0'(0'(2'(2'(0'(1'(1'(1'(2'(0'(2'(0'(2'(1'(2'(1'(0'(z - 29)))))))))))))))))))))))))))))) :|: z - 29 >= 0 0'(z) -{ 1 }-> 0'(0'(2'(0'(0'(2'(2'(0'(0'(1'(1'(2'(1'(1'(1'(2'(0'(0'(1'(1'(2'(0'(2'(0'(2'(2'(1'(2'(2'(z - 27))))))))))))))))))))))))))))) :|: z - 27 >= 0 0'(z) -{ 1 }-> 0'(0'(1'(1'(1'(2'(1'(2'(2'(0'(0'(1'(2'(2'(1'(2'(2'(1'(2'(0'(1'(0'(2'(0'(0'(2'(0'(2'(1'(0'(2'(1'(z - 31)))))))))))))))))))))))))))))))) :|: z - 31 >= 0 0'(z) -{ 1 }-> 0'(0'(1'(0'(2'(2'(0'(2'(0'(0'(2'(0'(2'(0'(1'(2'(0'(2'(0'(2'(0'(0'(1'(1'(2'(1'(0'(1'(0'(1'(2'(2'(0'(2'(2'(1'(0'(0'(2'(0'(2'(1'(0'(z - 41))))))))))))))))))))))))))))))))))))))))))) :|: z - 41 >= 0 0'(z) -{ 1 }-> 0'(0'(1'(0'(2'(0'(0'(1'(2'(2'(2'(2'(2'(1'(0'(1'(2'(1'(2'(0'(1'(1'(1'(1'(1'(z - 23))))))))))))))))))))))))) :|: z - 23 >= 0 0'(z) -{ 1 }-> 0'(0'(0'(2'(0'(0'(0'(2'(2'(2'(0'(1'(0'(2'(1'(2'(2'(0'(1'(2'(2'(0'(0'(0'(1'(0'(0'(0'(2'(0'(1'(1'(0'(2'(0'(2'(0'(z - 35))))))))))))))))))))))))))))))))))))) :|: z - 35 >= 0 0'(z) -{ 0 }-> 0 :|: z >= 0 0'(z) -{ 0 }-> 1 + z :|: z >= 0 1'(z) -{ 1 }-> 2'(0'(2'(1'(0'(2'(2'(2'(0'(0'(0'(2'(2'(2'(2'(0'(2'(0'(2'(0'(z - 18)))))))))))))))))))) :|: z - 18 >= 0 1'(z) -{ 1 }-> 2'(0'(0'(2'(1'(0'(2'(2'(2'(0'(0'(2'(2'(2'(2'(0'(0'(0'(2'(0'(1'(2'(0'(0'(0'(z - 23))))))))))))))))))))))))) :|: z - 23 >= 0 1'(z) -{ 1 }-> 2'(0'(0'(2'(0'(2'(1'(0'(0'(1'(0'(0'(0'(1'(1'(1'(0'(2'(1'(0'(1'(2'(0'(0'(1'(1'(2'(2'(1'(0'(0'(2'(0'(0'(1'(2'(1'(0'(1'(z - 37))))))))))))))))))))))))))))))))))))))) :|: z - 37 >= 0 1'(z) -{ 1 }-> 2'(0'(0'(0'(2'(2'(1'(2'(0'(2'(0'(1'(0'(0'(2'(0'(2'(0'(0'(2'(1'(0'(z - 20)))))))))))))))))))))) :|: z - 20 >= 0 1'(z) -{ 1 }-> 1'(2'(2'(1'(2'(1'(1'(1'(1'(1'(2'(2'(1'(1'(1'(0'(2'(2'(2'(0'(2'(0'(0'(2'(2'(0'(0'(0'(2'(0'(2'(0'(2'(2'(2'(1'(0'(2'(0'(2'(2'(z - 38))))))))))))))))))))))))))))))))))))))))) :|: z - 38 >= 0 1'(z) -{ 1 }-> 1'(2'(1'(0'(1'(2'(0'(1'(0'(2'(0'(2'(2'(2'(0'(1'(1'(1'(1'(2'(1'(0'(2'(2'(1'(0'(2'(2'(1'(1'(0'(2'(1'(2'(0'(2'(0'(2'(1'(0'(0'(0'(0'(z - 41))))))))))))))))))))))))))))))))))))))))))) :|: z - 41 >= 0 1'(z) -{ 1 }-> 1'(2'(0'(0'(1'(1'(0'(0'(1'(2'(z - 9)))))))))) :|: z - 9 >= 0 1'(z) -{ 1 }-> 1'(1'(2'(1'(1'(1'(0'(1'(2'(0'(0'(1'(2'(2'(0'(2'(0'(0'(2'(0'(1'(0'(2'(0'(0'(1'(0'(0'(0'(2'(0'(2'(1'(2'(2'(0'(1'(z - 33))))))))))))))))))))))))))))))))))))) :|: z - 33 >= 0 1'(z) -{ 1 }-> 1'(1'(2'(1'(0'(2'(1'(1'(2'(0'(2'(1'(1'(1'(2'(2'(0'(2'(1'(2'(2'(1'(1'(1'(0'(1'(0'(2'(0'(0'(0'(2'(0'(2'(0'(0'(1'(z - 35))))))))))))))))))))))))))))))))))))) :|: z - 35 >= 0 1'(z) -{ 1 }-> 1'(1'(2'(1'(0'(2'(0'(2'(2'(2'(1'(1'(1'(1'(0'(2'(1'(1'(2'(1'(0'(0'(2'(1'(0'(0'(2'(0'(2'(1'(2'(2'(1'(0'(1'(1'(2'(0'(1'(0'(2'(2'(2'(0'(0'(z - 43))))))))))))))))))))))))))))))))))))))))))))) :|: z - 43 >= 0 1'(z) -{ 1 }-> 1'(1'(1'(2'(1'(0'(2'(1'(0'(2'(1'(1'(2'(2'(1'(2'(1'(1'(1'(2'(1'(0'(2'(0'(0'(2'(0'(2'(2'(1'(1'(2'(z - 31)))))))))))))))))))))))))))))))) :|: z - 31 >= 0 1'(z) -{ 1 }-> 1'(1'(1'(1'(2'(0'(2'(0'(0'(1'(2'(0'(0'(0'(0'(2'(2'(1'(0'(0'(2'(0'(1'(2'(0'(1'(2'(0'(0'(z - 27))))))))))))))))))))))))))))) :|: z - 27 >= 0 1'(z) -{ 1 }-> 1'(1'(1'(1'(2'(0'(1'(1'(1'(0'(1'(0'(2'(0'(0'(1'(1'(2'(1'(0'(2'(2'(0'(0'(0'(0'(1'(2'(0'(1'(0'(0'(2'(0'(1'(2'(0'(z - 34))))))))))))))))))))))))))))))))))))) :|: z - 34 >= 0 1'(z) -{ 1 }-> 1'(1'(0'(1'(2'(2'(0'(2'(0'(1'(2'(2'(2'(z - 11))))))))))))) :|: z - 11 >= 0 1'(z) -{ 1 }-> 1'(0'(2'(0'(1'(1'(2'(1'(1'(z - 8))))))))) :|: z - 8 >= 0 1'(z) -{ 1 }-> 1'(0'(2'(0'(1'(1'(2'(0'(2'(1'(0'(0'(1'(2'(2'(0'(1'(1'(2'(0'(2'(2'(1'(2'(2'(2'(2'(1'(1'(1'(2'(z - 29))))))))))))))))))))))))))))))) :|: z - 29 >= 0 1'(z) -{ 1 }-> 1'(0'(2'(0'(1'(0'(2'(0'(1'(1'(0'(0'(0'(1'(2'(0'(1'(1'(1'(0'(2'(0'(2'(0'(0'(2'(0'(2'(2'(1'(2'(0'(2'(2'(0'(1'(0'(z - 34))))))))))))))))))))))))))))))))))))) :|: z - 34 >= 0 1'(z) -{ 1 }-> 1'(0'(1'(0'(2'(2'(0'(2'(0'(1'(1'(2'(2'(1'(2'(2'(2'(2'(0'(0'(1'(1'(0'(1'(0'(2'(0'(z - 25))))))))))))))))))))))))))) :|: z - 25 >= 0 1'(z) -{ 1 }-> 1'(0'(1'(0'(0'(0'(2'(0'(1'(1'(1'(2'(2'(2'(2'(1'(0'(2'(0'(2'(2'(1'(1'(0'(1'(2'(2'(1'(1'(1'(0'(z - 29))))))))))))))))))))))))))))))) :|: z - 29 >= 0 1'(z) -{ 1 }-> 1'(0'(0'(2'(1'(0'(1'(2'(2'(1'(0'(1'(2'(1'(0'(1'(0'(1'(2'(0'(2'(2'(1'(0'(2'(1'(2'(2'(2'(0'(0'(1'(2'(0'(2'(0'(0'(1'(1'(0'(2'(1'(2'(0'(1'(z - 42))))))))))))))))))))))))))))))))))))))))))))) :|: z - 42 >= 0 1'(z) -{ 0 }-> 0 :|: z >= 0 1'(z) -{ 0 }-> 1 + z :|: z >= 0 2'(z) -{ 1 }-> 2'(2'(2'(0'(0'(1'(2'(0'(0'(2'(0'(1'(1'(0'(2'(0'(1'(2'(0'(1'(0'(0'(2'(0'(2'(1'(1'(0'(2'(1'(0'(0'(2'(2'(1'(2'(2'(2'(0'(1'(1'(2'(0'(2'(0'(z - 41))))))))))))))))))))))))))))))))))))))))))))) :|: z - 41 >= 0 2'(z) -{ 1 }-> 2'(2'(1'(1'(1'(1'(2'(2'(0'(2'(1'(1'(1'(2'(2'(1'(0'(1'(0'(1'(2'(0'(2'(2'(2'(1'(1'(2'(0'(1'(2'(0'(1'(0'(0'(2'(1'(0'(2'(0'(1'(0'(1'(z - 41))))))))))))))))))))))))))))))))))))))))))) :|: z - 41 >= 0 2'(z) -{ 1 }-> 2'(2'(0'(0'(1'(2'(0'(2'(1'(2'(1'(1'(1'(2'(2'(1'(0'(0'(1'(0'(0'(2'(0'(1'(2'(1'(2'(1'(0'(2'(0'(2'(0'(1'(1'(1'(0'(1'(1'(0'(z - 39)))))))))))))))))))))))))))))))))))))))) :|: z - 39 >= 0 2'(z) -{ 1 }-> 2'(1'(2'(0'(0'(1'(2'(0'(1'(2'(0'(0'(0'(2'(2'(0'(2'(0'(1'(0'(0'(0'(2'(0'(0'(2'(2'(0'(2'(2'(2'(0'(0'(2'(0'(1'(0'(2'(0'(1'(0'(z - 38))))))))))))))))))))))))))))))))))))))))) :|: z - 38 >= 0 2'(z) -{ 1 }-> 2'(1'(1'(2'(1'(1'(1'(0'(2'(0'(1'(1'(1'(2'(0'(0'(2'(2'(1'(2'(2'(2'(2'(0'(2'(0'(1'(1'(0'(1'(2'(2'(2'(1'(1'(2'(1'(1'(1'(0'(0'(0'(2'(0'(1'(0'(z - 44)))))))))))))))))))))))))))))))))))))))))))))) :|: z - 44 >= 0 2'(z) -{ 1 }-> 2'(1'(1'(0'(1'(2'(0'(0'(2'(0'(2'(0'(2'(1'(0'(1'(2'(0'(1'(0'(2'(1'(1'(2'(0'(0'(z - 23)))))))))))))))))))))))))) :|: z - 23 >= 0 2'(z) -{ 1 }-> 2'(1'(0'(2'(2'(1'(0'(0'(0'(2'(2'(2'(1'(2'(0'(1'(0'(0'(1'(0'(0'(0'(2'(1'(1'(0'(0'(2'(0'(1'(2'(0'(2'(2'(1'(0'(2'(0'(0'(z - 37))))))))))))))))))))))))))))))))))))))) :|: z - 37 >= 0 2'(z) -{ 1 }-> 2'(0'(2'(0'(2'(0'(2'(0'(2'(0'(2'(1'(2'(1'(0'(0'(1'(0'(0'(2'(1'(2'(0'(2'(0'(0'(2'(1'(2'(2'(1'(1'(2'(2'(2'(1'(2'(1'(0'(0'(2'(0'(0'(2'(2'(2'(1'(0'(2'(0'(z - 46)))))))))))))))))))))))))))))))))))))))))))))))))) :|: z - 46 >= 0 2'(z) -{ 1 }-> 2'(0'(1'(2'(1'(2'(0'(2'(0'(1'(2'(0'(1'(1'(0'(2'(2'(0'(0'(1'(1'(2'(2'(1'(1'(1'(2'(1'(2'(2'(0'(2'(2'(1'(0'(1'(1'(1'(1'(1'(0'(1'(2'(0'(z - 42)))))))))))))))))))))))))))))))))))))))))))) :|: z - 42 >= 0 2'(z) -{ 1 }-> 2'(0'(1'(2'(0'(2'(0'(1'(1'(0'(0'(1'(0'(1'(0'(2'(0'(1'(0'(2'(2'(2'(1'(2'(1'(0'(2'(0'(2'(0'(0'(2'(0'(1'(1'(1'(2'(0'(0'(2'(1'(0'(z - 36)))))))))))))))))))))))))))))))))))))))))) :|: z - 36 >= 0 2'(z) -{ 1 }-> 2'(0'(0'(2'(0'(0'(1'(2'(2'(2'(2'(2'(1'(2'(0'(2'(0'(1'(2'(1'(0'(0'(1'(1'(0'(1'(1'(1'(2'(0'(2'(0'(2'(1'(0'(1'(2'(0'(1'(2'(0'(1'(z - 39)))))))))))))))))))))))))))))))))))))))))) :|: z - 39 >= 0 2'(z) -{ 1 }-> 2'(0'(0'(2'(0'(0'(1'(2'(0'(2'(2'(0'(2'(2'(2'(0'(0'(0'(1'(0'(2'(0'(0'(1'(2'(0'(0'(2'(0'(1'(2'(0'(0'(1'(0'(z - 33))))))))))))))))))))))))))))))))))) :|: z - 33 >= 0 2'(z) -{ 1 }-> 2'(0'(0'(1'(2'(1'(1'(2'(0'(2'(0'(1'(1'(1'(1'(2'(0'(1'(2'(1'(2'(2'(2'(2'(2'(2'(0'(2'(2'(z - 27))))))))))))))))))))))))))))) :|: z - 27 >= 0 2'(z) -{ 1 }-> 1'(2'(2'(2'(0'(2'(0'(2'(1'(2'(0'(0'(0'(1'(1'(0'(1'(2'(0'(0'(0'(2'(0'(0'(0'(1'(0'(2'(2'(2'(2'(1'(0'(2'(2'(z - 33))))))))))))))))))))))))))))))))))) :|: z - 33 >= 0 2'(z) -{ 1 }-> 1'(2'(2'(0'(0'(1'(2'(0'(z - 7)))))))) :|: z - 7 >= 0 2'(z) -{ 1 }-> 1'(2'(2'(0'(0'(0'(1'(1'(0'(2'(0'(2'(0'(0'(2'(0'(1'(1'(2'(0'(2'(0'(1'(2'(1'(2'(1'(2'(1'(0'(2'(2'(2'(1'(0'(1'(0'(1'(0'(z - 36))))))))))))))))))))))))))))))))))))))) :|: z - 36 >= 0 2'(z) -{ 1 }-> 1'(2'(1'(2'(2'(0'(0'(2'(0'(0'(0'(2'(2'(1'(0'(2'(0'(0'(2'(0'(2'(1'(z - 20)))))))))))))))))))))) :|: z - 20 >= 0 2'(z) -{ 1 }-> 1'(2'(0'(1'(1'(2'(0'(2'(2'(0'(2'(1'(0'(2'(0'(2'(0'(1'(1'(0'(1'(2'(2'(1'(0'(1'(0'(0'(0'(2'(0'(2'(2'(1'(0'(0'(0'(1'(0'(1'(z - 38)))))))))))))))))))))))))))))))))))))))) :|: z - 38 >= 0 2'(z) -{ 1 }-> 1'(0'(2'(1'(1'(2'(1'(1'(2'(0'(0'(2'(2'(0'(2'(0'(1'(2'(1'(0'(2'(0'(1'(2'(1'(2'(2'(2'(2'(0'(2'(2'(2'(1'(0'(2'(0'(0'(1'(1'(z - 38)))))))))))))))))))))))))))))))))))))))) :|: z - 38 >= 0 2'(z) -{ 1 }-> 1'(0'(2'(1'(0'(2'(0'(2'(2'(0'(0'(2'(0'(0'(0'(2'(0'(1'(1'(1'(2'(0'(z - 19)))))))))))))))))))))) :|: z - 19 >= 0 2'(z) -{ 1 }-> 1'(0'(2'(0'(2'(0'(0'(0'(0'(2'(2'(0'(0'(2'(0'(0'(2'(0'(2'(1'(0'(0'(2'(0'(1'(2'(0'(0'(0'(1'(2'(1'(1'(2'(0'(2'(z - 33)))))))))))))))))))))))))))))))))))) :|: z - 33 >= 0 2'(z) -{ 1 }-> 1'(0'(2'(0'(1'(0'(1'(0'(2'(0'(1'(1'(1'(2'(1'(0'(2'(0'(2'(0'(2'(2'(0'(0'(2'(0'(2'(z - 24))))))))))))))))))))))))))) :|: z - 24 >= 0 2'(z) -{ 1 }-> 1'(0'(1'(2'(1'(2'(1'(2'(2'(2'(1'(0'(2'(1'(0'(0'(2'(0'(0'(0'(2'(0'(1'(0'(1'(1'(2'(2'(0'(1'(1'(0'(2'(0'(0'(2'(0'(1'(0'(1'(z - 36)))))))))))))))))))))))))))))))))))))))) :|: z - 36 >= 0 2'(z) -{ 1 }-> 1'(0'(1'(1'(2'(1'(1'(2'(1'(0'(0'(0'(1'(0'(0'(2'(0'(0'(2'(0'(1'(0'(1'(z - 21))))))))))))))))))))))) :|: z - 21 >= 0 2'(z) -{ 1 }-> 1'(0'(0'(1'(0'(0'(2'(1'(2'(2'(1'(0'(2'(1'(2'(2'(1'(0'(1'(1'(2'(1'(0'(2'(0'(1'(2'(2'(0'(2'(0'(z - 29))))))))))))))))))))))))))))))) :|: z - 29 >= 0 2'(z) -{ 1 }-> 0'(2'(2'(2'(1'(2'(1'(2'(0'(1'(1'(1'(1'(1'(2'(2'(0'(0'(0'(2'(2'(2'(1'(1'(0'(1'(1'(0'(1'(1'(1'(2'(0'(0'(2'(0'(1'(1'(2'(2'(2'(1'(0'(2'(2'(2'(2'(2'(0'(z - 46))))))))))))))))))))))))))))))))))))))))))))))))) :|: z - 46 >= 0 2'(z) -{ 1 }-> 0'(2'(2'(0'(1'(2'(1'(0'(2'(0'(2'(0'(0'(1'(2'(2'(1'(1'(2'(2'(2'(0'(1'(2'(0'(0'(2'(2'(0'(0'(0'(1'(2'(2'(1'(2'(2'(1'(0'(2'(1'(1'(1'(1'(0'(1'(0'(2'(0'(z - 46))))))))))))))))))))))))))))))))))))))))))))))))) :|: z - 46 >= 0 2'(z) -{ 1 }-> 0'(2'(1'(2'(2'(0'(1'(0'(1'(2'(0'(0'(1'(1'(1'(0'(1'(1'(1'(1'(2'(0'(2'(2'(0'(2'(1'(0'(2'(z - 28))))))))))))))))))))))))))))) :|: z - 28 >= 0 2'(z) -{ 1 }-> 0'(2'(0'(1'(2'(1'(1'(0'(2'(2'(0'(0'(0'(0'(2'(0'(1'(0'(2'(1'(2'(2'(0'(1'(0'(1'(0'(1'(2'(0'(0'(2'(2'(0'(1'(0'(z - 34)))))))))))))))))))))))))))))))))))) :|: z - 34 >= 0 2'(z) -{ 1 }-> 0'(1'(2'(2'(0'(2'(0'(0'(0'(2'(0'(2'(1'(2'(0'(0'(1'(0'(2'(0'(0'(2'(0'(1'(1'(2'(1'(1'(0'(2'(1'(2'(1'(2'(0'(0'(0'(1'(2'(0'(0'(1'(0'(z - 41))))))))))))))))))))))))))))))))))))))))))) :|: z - 41 >= 0 2'(z) -{ 1 }-> 0'(1'(2'(0'(1'(2'(0'(2'(0'(2'(1'(2'(0'(0'(1'(2'(1'(1'(2'(0'(0'(1'(2'(2'(1'(2'(1'(0'(0'(1'(2'(1'(0'(0'(0'(0'(z - 33)))))))))))))))))))))))))))))))))))) :|: z - 33 >= 0 2'(z) -{ 1 }-> 0'(1'(0'(0'(1'(0'(0'(1'(2'(0'(2'(0'(2'(0'(2'(0'(2'(2'(1'(0'(2'(1'(1'(1'(1'(1'(1'(0'(1'(0'(1'(1'(0'(0'(0'(z - 33))))))))))))))))))))))))))))))))))) :|: z - 33 >= 0 2'(z) -{ 1 }-> 0'(0'(2'(0'(2'(0'(0'(2'(0'(0'(0'(1'(1'(1'(z - 12)))))))))))))) :|: z - 12 >= 0 2'(z) -{ 1 }-> 0'(0'(2'(0'(0'(1'(2'(0'(0'(1'(1'(0'(2'(0'(2'(2'(0'(1'(0'(2'(1'(0'(0'(z - 22))))))))))))))))))))))) :|: z - 22 >= 0 2'(z) -{ 1 }-> 0'(0'(2'(0'(0'(0'(1'(2'(1'(2'(0'(1'(1'(0'(2'(0'(1'(0'(1'(2'(0'(0'(1'(1'(2'(0'(0'(1'(1'(0'(2'(2'(0'(2'(2'(1'(1'(z - 34))))))))))))))))))))))))))))))))))))) :|: z - 34 >= 0 2'(z) -{ 0 }-> 0 :|: z >= 0 2'(z) -{ 0 }-> 1 + z :|: z >= 0 encArg(z) -{ 0 }-> 2'(2'(encArg(z - 2))) :|: z - 2 >= 0 encArg(z) -{ 0 }-> 2'(1'(encArg(z - 2))) :|: z - 2 >= 0 encArg(z) -{ 0 }-> 2'(0'(encArg(z - 2))) :|: z - 2 >= 0 encArg(z) -{ 0 }-> 2'(0) :|: z - 1 >= 0 encArg(z) -{ 0 }-> 1'(2'(encArg(z - 2))) :|: z - 2 >= 0 encArg(z) -{ 0 }-> 1'(1'(encArg(z - 2))) :|: z - 2 >= 0 encArg(z) -{ 0 }-> 1'(0'(encArg(z - 2))) :|: z - 2 >= 0 encArg(z) -{ 0 }-> 1'(0) :|: z - 1 >= 0 encArg(z) -{ 0 }-> 0'(2'(encArg(z - 2))) :|: z - 2 >= 0 encArg(z) -{ 0 }-> 0'(1'(encArg(z - 2))) :|: z - 2 >= 0 encArg(z) -{ 0 }-> 0'(0'(encArg(z - 2))) :|: z - 2 >= 0 encArg(z) -{ 0 }-> 0'(0) :|: z - 1 >= 0 encArg(z) -{ 0 }-> 0 :|: z >= 0 encode_0(z) -{ 0 }-> 0'(2'(encArg(z - 1))) :|: z - 1 >= 0 encode_0(z) -{ 0 }-> 0'(1'(encArg(z - 1))) :|: z - 1 >= 0 encode_0(z) -{ 0 }-> 0'(0'(encArg(z - 1))) :|: z - 1 >= 0 encode_0(z) -{ 0 }-> 0'(0) :|: z >= 0 encode_0(z) -{ 0 }-> 0 :|: z >= 0 encode_1(z) -{ 0 }-> 1'(2'(encArg(z - 1))) :|: z - 1 >= 0 encode_1(z) -{ 0 }-> 1'(1'(encArg(z - 1))) :|: z - 1 >= 0 encode_1(z) -{ 0 }-> 1'(0'(encArg(z - 1))) :|: z - 1 >= 0 encode_1(z) -{ 0 }-> 1'(0) :|: z >= 0 encode_1(z) -{ 0 }-> 0 :|: z >= 0 encode_2(z) -{ 0 }-> 2'(2'(encArg(z - 1))) :|: z - 1 >= 0 encode_2(z) -{ 0 }-> 2'(1'(encArg(z - 1))) :|: z - 1 >= 0 encode_2(z) -{ 0 }-> 2'(0'(encArg(z - 1))) :|: z - 1 >= 0 encode_2(z) -{ 0 }-> 2'(0) :|: z >= 0 encode_2(z) -{ 0 }-> 0 :|: z >= 0 ---------------------------------------- (31) CompletionProof (UPPER BOUND(ID)) The TRS is a completely defined constructor system, as every type has a constant constructor and the following rules were added: encArg(v0) -> null_encArg [0] encode_0(v0) -> null_encode_0 [0] encode_1(v0) -> null_encode_1 [0] encode_2(v0) -> null_encode_2 [0] 0'(v0) -> null_0' [0] 1'(v0) -> null_1' [0] 2'(v0) -> null_2' [0] And the following fresh constants: null_encArg, null_encode_0, null_encode_1, null_encode_2, null_0', null_1', null_2', const ---------------------------------------- (32) Obligation: Runtime Complexity Weighted TRS where all functions are completely defined. The underlying TRS is: Runtime Complexity Weighted TRS with Types. The TRS R consists of the following rules: 0'(c_1(c_0(c_1(c_1(c_0(c_1(c_2(c_2(c_1(c_1(c_1(c_0(c_2(c_1(c_1(c_1(x1))))))))))))))))) -> 0'(2'(1'(1'(0'(2'(2'(0'(2'(2'(0'(0'(2'(0'(1'(2'(1'(2'(x1)))))))))))))))))) [1] 2'(c_1(c_1(c_0(c_0(c_0(c_1(c_1(c_2(c_2(c_1(c_2(c_1(c_2(c_1(c_2(c_2(c_0(c_1(c_0(c_0(c_0(c_1(c_2(c_0(c_0(c_1(c_1(c_2(x1))))))))))))))))))))))))))))) -> 0'(2'(1'(2'(2'(0'(1'(0'(1'(2'(0'(0'(1'(1'(1'(0'(1'(1'(1'(1'(2'(0'(2'(2'(0'(2'(1'(0'(2'(x1))))))))))))))))))))))))))))) [1] 2'(c_1(c_0(c_0(c_1(c_0(c_0(c_1(c_2(c_2(c_0(c_2(c_2(c_1(c_0(c_0(c_0(c_2(c_2(c_1(c_1(c_2(c_0(c_1(c_2(c_0(c_0(c_1(c_2(c_0(c_2(c_1(c_0(c_2(c_2(c_0(c_1(c_1(c_1(x1))))))))))))))))))))))))))))))))))))))) -> 2'(1'(2'(0'(0'(1'(2'(0'(1'(2'(0'(0'(0'(2'(2'(0'(2'(0'(1'(0'(0'(0'(2'(0'(0'(2'(2'(0'(2'(2'(2'(0'(0'(2'(0'(1'(0'(2'(0'(1'(0'(x1))))))))))))))))))))))))))))))))))))))))) [1] 0'(c_0(c_2(c_0(c_2(c_1(c_1(c_2(c_0(c_2(c_1(c_1(c_2(c_0(c_1(c_0(c_1(c_2(c_1(c_1(c_1(c_0(c_0(c_0(c_0(c_2(c_2(c_1(c_2(c_0(x1)))))))))))))))))))))))))))))) -> 0'(0'(2'(0'(1'(1'(1'(0'(0'(2'(1'(1'(2'(0'(0'(2'(2'(0'(1'(1'(1'(2'(0'(2'(0'(2'(1'(2'(1'(0'(x1)))))))))))))))))))))))))))))) [1] 2'(c_2(c_0(c_0(c_2(c_1(c_0(c_1(x1)))))))) -> 1'(2'(2'(0'(0'(1'(2'(0'(x1)))))))) [1] 1'(c_0(c_1(c_0(c_2(c_2(c_2(c_2(c_0(c_1(c_1(c_0(c_1(c_2(c_2(c_0(c_2(c_1(c_0(c_1(c_1(x1))))))))))))))))))))) -> 2'(0'(0'(0'(2'(2'(1'(2'(0'(2'(0'(1'(0'(0'(2'(0'(2'(0'(0'(2'(1'(0'(x1)))))))))))))))))))))) [1] 1'(c_0(c_0(c_1(c_2(c_0(c_0(c_0(c_1(c_1(c_1(c_1(c_2(c_2(c_2(c_2(c_2(c_1(c_1(c_2(c_1(c_0(c_1(c_0(c_1(c_0(x1)))))))))))))))))))))))))) -> 1'(0'(1'(0'(2'(2'(0'(2'(0'(1'(1'(2'(2'(1'(2'(2'(2'(2'(0'(0'(1'(1'(0'(1'(0'(2'(0'(x1))))))))))))))))))))))))))) [1] 2'(c_1(c_2(c_1(c_2(c_2(c_2(c_0(c_2(c_2(c_0(c_2(c_2(c_1(c_2(c_1(c_1(c_0(c_0(c_1(c_0(c_1(c_0(c_2(c_1(c_1(c_0(c_2(c_0(c_0(c_2(c_1(c_1(c_1(x1)))))))))))))))))))))))))))))))))) -> 1'(2'(2'(2'(0'(2'(0'(2'(1'(2'(0'(0'(0'(1'(1'(0'(1'(2'(0'(0'(0'(2'(0'(0'(0'(1'(0'(2'(2'(2'(2'(1'(0'(2'(2'(x1))))))))))))))))))))))))))))))))))) [1] 2'(c_1(c_2(c_1(c_2(c_1(c_2(c_1(c_0(c_1(c_0(c_2(c_2(c_0(c_0(c_1(c_2(c_2(c_1(c_2(c_1(c_0(c_1(c_0(c_2(c_1(c_2(c_2(c_2(c_1(c_1(c_1(c_2(c_0(c_1(c_1(c_0(x1))))))))))))))))))))))))))))))))))))) -> 1'(0'(1'(2'(1'(2'(1'(2'(2'(2'(1'(0'(2'(1'(0'(0'(2'(0'(0'(0'(2'(0'(1'(0'(1'(1'(2'(2'(0'(1'(1'(0'(2'(0'(0'(2'(0'(1'(0'(1'(x1)))))))))))))))))))))))))))))))))))))))) [1] 2'(c_2(c_0(c_2(c_2(c_1(c_2(c_0(c_2(c_2(c_2(c_1(c_1(c_0(c_2(c_1(c_1(c_1(c_2(c_2(c_0(c_1(c_0(c_1(c_0(c_1(c_0(c_0(c_1(c_2(c_0(c_0(c_2(c_2(c_0(c_0(c_2(c_1(c_1(c_1(c_1(c_2(x1)))))))))))))))))))))))))))))))))))))))))) -> 0'(1'(2'(2'(0'(2'(0'(0'(0'(2'(0'(2'(1'(2'(0'(0'(1'(0'(2'(0'(0'(2'(0'(1'(1'(2'(1'(1'(0'(2'(1'(2'(1'(2'(0'(0'(0'(1'(2'(0'(0'(1'(0'(x1))))))))))))))))))))))))))))))))))))))))))) [1] 2'(c_1(c_1(c_1(c_2(c_2(c_0(c_2(c_0(c_0(c_0(c_0(c_1(c_1(c_2(c_0(c_2(c_2(c_0(c_0(c_2(c_2(c_2(c_0(c_0(c_2(c_1(c_0(c_2(c_1(c_0(c_2(c_1(c_2(x1)))))))))))))))))))))))))))))))))) -> 1'(0'(2'(0'(2'(0'(0'(0'(0'(2'(2'(0'(0'(2'(0'(0'(2'(0'(2'(1'(0'(0'(2'(0'(1'(2'(0'(0'(0'(1'(2'(1'(1'(2'(0'(2'(x1)))))))))))))))))))))))))))))))))))) [1] 0'(c_2(c_0(c_0(c_1(c_0(c_0(c_2(c_2(c_2(c_0(c_1(c_1(c_1(c_1(c_2(c_2(c_0(c_0(c_0(c_0(c_2(c_0(c_1(c_2(c_1(c_0(c_1(c_2(c_1(c_2(c_2(c_2(c_0(c_0(c_0(c_0(c_1(c_0(c_0(x1)))))))))))))))))))))))))))))))))))))))) -> 0'(1'(0'(0'(2'(0'(2'(0'(0'(2'(1'(0'(0'(2'(2'(1'(1'(2'(2'(2'(1'(2'(0'(1'(1'(2'(0'(2'(0'(2'(1'(2'(0'(2'(0'(1'(2'(0'(2'(1'(0'(0'(1'(x1))))))))))))))))))))))))))))))))))))))))))) [1] 2'(c_1(c_0(c_0(c_1(c_0(c_2(c_2(c_1(c_1(c_1(c_0(c_1(c_2(c_0(c_1(c_0(c_2(c_1(c_0(c_0(c_2(c_2(c_1(c_1(c_1(c_2(c_2(c_0(c_0(c_0(c_0(c_1(c_1(c_2(c_1(c_0(c_1(c_2(c_2(x1)))))))))))))))))))))))))))))))))))))))) -> 2'(2'(0'(0'(1'(2'(0'(2'(1'(2'(1'(1'(1'(2'(2'(1'(0'(0'(1'(0'(0'(2'(0'(1'(2'(1'(2'(1'(0'(2'(0'(2'(0'(1'(1'(1'(0'(1'(1'(0'(x1)))))))))))))))))))))))))))))))))))))))) [1] 2'(c_1(c_0(c_2(c_1(c_0(c_2(c_2(c_2(c_2(c_0(c_0(c_0(c_1(c_1(c_1(c_2(c_2(c_0(c_2(c_2(c_2(c_0(c_1(c_0(c_2(c_1(c_0(c_1(c_1(c_2(c_2(c_2(c_0(c_0(x1))))))))))))))))))))))))))))))))))) -> 0'(2'(0'(1'(2'(1'(1'(0'(2'(2'(0'(0'(0'(0'(2'(0'(1'(0'(2'(1'(2'(2'(0'(1'(0'(1'(0'(1'(2'(0'(0'(2'(2'(0'(1'(0'(x1)))))))))))))))))))))))))))))))))))) [1] 2'(c_1(c_2(c_0(c_1(c_0(c_0(c_1(c_1(c_0(c_2(c_1(c_1(c_0(c_1(c_2(c_1(c_1(c_2(c_1(c_0(c_2(c_2(c_2(c_1(c_1(c_1(c_0(c_1(c_0(c_2(c_0(c_1(c_2(c_1(c_1(c_0(c_2(c_2(c_0(x1)))))))))))))))))))))))))))))))))))))))) -> 2'(0'(0'(2'(0'(0'(1'(2'(2'(2'(2'(2'(1'(2'(0'(2'(0'(1'(2'(1'(0'(0'(1'(1'(0'(1'(1'(1'(2'(0'(2'(0'(2'(1'(0'(1'(2'(0'(1'(2'(0'(1'(x1)))))))))))))))))))))))))))))))))))))))))) [1] 1'(c_0(c_2(c_1(c_0(c_0(c_1(c_0(c_1(c_2(x1)))))))))) -> 1'(2'(0'(0'(1'(1'(0'(0'(1'(2'(x1)))))))))) [1] 2'(c_1(c_1(c_1(c_0(c_1(c_0(c_0(c_1(c_0(c_1(c_1(c_0(c_1(c_0(c_2(c_0(c_0(c_0(c_1(c_1(c_1(c_2(c_2(c_0(c_1(c_2(c_2(x1)))))))))))))))))))))))))))) -> 2'(0'(0'(1'(2'(1'(1'(2'(0'(2'(0'(1'(1'(1'(1'(2'(0'(1'(2'(1'(2'(2'(2'(2'(2'(2'(0'(2'(2'(x1))))))))))))))))))))))))))))) [1] 2'(c_2(c_2(c_1(c_0(c_0(c_1(c_0(c_0(c_1(c_2(c_1(c_1(c_2(c_1(c_2(c_0(c_1(c_1(c_0(c_1(c_2(c_0(c_1(c_2(c_2(c_1(c_0(c_1(c_0(c_0(c_1(c_2(c_1(c_1(x1))))))))))))))))))))))))))))))))))) -> 0'(0'(2'(0'(0'(0'(1'(2'(1'(2'(0'(1'(1'(0'(2'(0'(1'(0'(1'(2'(0'(0'(1'(1'(2'(0'(0'(1'(1'(0'(2'(2'(0'(2'(2'(1'(1'(x1))))))))))))))))))))))))))))))))))))) [1] 1'(c_1(c_1(c_0(c_1(c_2(c_2(c_2(c_2(c_0(c_1(c_0(c_2(c_2(c_0(c_0(c_0(c_1(c_2(c_0(c_0(c_0(c_2(c_2(c_1(c_0(c_0(c_0(c_0(c_1(c_1(c_0(c_0(c_0(c_1(x1))))))))))))))))))))))))))))))))))) -> 1'(1'(1'(1'(2'(0'(1'(1'(1'(0'(1'(0'(2'(0'(0'(1'(1'(2'(1'(0'(2'(2'(0'(0'(0'(0'(1'(2'(0'(1'(0'(0'(2'(0'(1'(2'(0'(x1))))))))))))))))))))))))))))))))))))) [1] 0'(c_1(c_0(c_0(c_2(c_2(c_0(c_1(c_0(c_1(c_2(c_1(c_2(c_2(c_2(c_1(c_0(c_1(c_2(c_1(c_0(c_1(c_1(c_1(c_2(c_0(c_2(c_1(x1)))))))))))))))))))))))))))) -> 0'(0'(2'(0'(0'(2'(2'(0'(0'(1'(1'(2'(1'(1'(1'(2'(0'(0'(1'(1'(2'(0'(2'(0'(2'(2'(1'(2'(2'(x1))))))))))))))))))))))))))))) [1] 1'(c_2(c_2(c_2(c_1(c_0(c_0(c_2(c_0(c_0(c_1(c_1(c_1(c_2(c_1(c_1(c_1(c_2(c_2(c_1(c_2(c_0(c_2(c_1(c_0(c_1(c_2(c_1(c_1(c_1(c_2(c_2(x1)))))))))))))))))))))))))))))))) -> 1'(1'(1'(2'(1'(0'(2'(1'(0'(2'(1'(1'(2'(2'(1'(2'(1'(1'(1'(2'(1'(0'(2'(0'(0'(2'(0'(2'(2'(1'(1'(2'(x1)))))))))))))))))))))))))))))))) [1] 1'(c_1(c_2(c_1(c_0(c_2(c_2(c_1(c_2(c_2(c_2(c_0(c_1(c_1(c_0(c_0(c_2(c_1(c_0(c_1(c_2(c_2(c_2(c_1(c_1(c_1(c_2(c_0(c_0(c_0(c_1(c_1(c_0(c_1(c_1(c_1(c_2(c_0(x1)))))))))))))))))))))))))))))))))))))) -> 2'(0'(0'(2'(0'(2'(1'(0'(0'(1'(0'(0'(0'(1'(1'(1'(0'(2'(1'(0'(1'(2'(0'(0'(1'(1'(2'(2'(1'(0'(0'(2'(0'(0'(1'(2'(1'(0'(1'(x1))))))))))))))))))))))))))))))))))))))) [1] 2'(c_2(c_1(c_0(c_0(c_2(c_1(c_2(c_0(c_0(c_0(c_2(c_1(c_0(c_2(c_0(c_2(c_1(c_2(c_2(c_2(c_0(c_1(c_2(c_2(c_0(c_0(c_0(c_1(c_0(c_2(c_2(c_2(c_1(c_0(c_1(c_2(c_1(c_0(c_0(c_2(c_0(c_1(c_0(c_1(x1))))))))))))))))))))))))))))))))))))))))))))) -> 2'(1'(1'(2'(1'(1'(1'(0'(2'(0'(1'(1'(1'(2'(0'(0'(2'(2'(1'(2'(2'(2'(2'(0'(2'(0'(1'(1'(0'(1'(2'(2'(2'(1'(1'(2'(1'(1'(1'(0'(0'(0'(2'(0'(1'(0'(x1)))))))))))))))))))))))))))))))))))))))))))))) [1] 1'(c_2(c_0(c_1(c_0(c_0(c_0(c_1(c_2(c_2(c_1(c_1(c_2(c_0(c_1(c_0(c_1(c_1(c_0(x1))))))))))))))))))) -> 2'(0'(2'(1'(0'(2'(2'(2'(0'(0'(0'(2'(2'(2'(2'(0'(2'(0'(2'(0'(x1)))))))))))))))))))) [1] 0'(c_0(c_1(c_1(c_0(c_0(c_0(c_1(x1)))))))) -> 0'(2'(0'(1'(0'(1'(1'(1'(1'(x1))))))))) [1] 0'(c_0(c_1(c_1(c_1(c_1(c_2(c_2(c_0(c_0(c_2(c_1(c_2(c_2(c_1(c_0(c_2(c_1(c_0(c_0(c_1(c_1(c_0(c_2(c_0(c_2(c_2(c_2(c_2(c_0(c_2(c_1(x1)))))))))))))))))))))))))))))))) -> 0'(0'(1'(1'(1'(2'(1'(2'(2'(0'(0'(1'(2'(2'(1'(2'(2'(1'(2'(0'(1'(0'(2'(0'(0'(2'(0'(2'(1'(0'(2'(1'(x1)))))))))))))))))))))))))))))))) [1] 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1'(1'(2'(1'(1'(1'(0'(1'(2'(0'(0'(1'(2'(2'(0'(2'(0'(0'(2'(0'(1'(0'(2'(0'(0'(1'(0'(0'(0'(2'(0'(2'(1'(2'(2'(0'(1'(x1))))))))))))))))))))))))))))))))))))) [1] 1'(c_2(c_1(c_0(c_0(c_1(c_1(c_0(c_1(c_0(c_2(c_1(c_2(c_0(c_2(c_0(c_1(c_1(c_2(c_1(c_2(c_0(c_1(c_1(c_0(c_0(c_0(c_1(x1)))))))))))))))))))))))))))) -> 1'(1'(1'(1'(2'(0'(2'(0'(0'(1'(2'(0'(0'(0'(0'(2'(2'(1'(0'(0'(2'(0'(1'(2'(0'(1'(2'(0'(0'(x1))))))))))))))))))))))))))))) [1] 0'(c_2(c_2(c_2(c_0(c_1(c_1(c_2(c_1(c_1(c_2(c_2(c_1(c_1(c_1(c_2(c_2(c_1(c_1(c_1(c_1(c_0(c_2(c_1(c_1(c_0(c_0(c_2(c_0(c_1(c_2(c_2(c_1(c_1(c_0(c_0(c_0(c_1(c_1(c_0(c_0(c_0(x1)))))))))))))))))))))))))))))))))))))))))) -> 0'(0'(1'(0'(2'(2'(0'(2'(0'(0'(2'(0'(2'(0'(1'(2'(0'(2'(0'(2'(0'(0'(1'(1'(2'(1'(0'(1'(0'(1'(2'(2'(0'(2'(2'(1'(0'(0'(2'(0'(2'(1'(0'(x1))))))))))))))))))))))))))))))))))))))))))) [1] 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1'(c_2(c_1(c_1(c_0(c_2(c_2(c_0(c_1(c_2(c_2(c_0(c_2(c_0(c_0(c_1(c_1(c_0(c_1(c_2(c_2(c_2(c_0(c_2(c_2(c_0(c_0(c_0(c_0(c_1(c_1(c_0(c_1(c_0(c_0(c_0(c_1(c_2(c_1(c_2(c_2(c_2(c_0(c_0(x1)))))))))))))))))))))))))))))))))))))))))))) -> 1'(1'(2'(1'(0'(2'(0'(2'(2'(2'(1'(1'(1'(1'(0'(2'(1'(1'(2'(1'(0'(0'(2'(1'(0'(0'(2'(0'(2'(1'(2'(2'(1'(0'(1'(1'(2'(0'(1'(0'(2'(2'(2'(0'(0'(x1))))))))))))))))))))))))))))))))))))))))))))) [1] 2'(c_1(c_2(c_0(c_0(c_0(c_0(c_1(c_2(c_0(c_1(c_1(c_1(x1))))))))))))) -> 0'(0'(2'(0'(2'(0'(0'(2'(0'(0'(0'(1'(1'(1'(x1)))))))))))))) [1] 2'(c_0(c_1(c_1(c_2(c_0(c_0(c_1(c_1(c_1(c_0(c_0(c_0(c_2(c_0(c_0(c_1(c_0(c_0(c_1(c_0(c_0(c_0(c_2(c_1(c_2(c_1(c_0(c_1(c_1(c_1(c_1(c_0(c_0(c_1(c_1(c_0(c_2(c_0(c_2(c_2(c_1(c_0(c_2(c_1(c_1(c_0(x1))))))))))))))))))))))))))))))))))))))))))))))) -> 2'(0'(2'(0'(2'(0'(2'(0'(2'(0'(2'(1'(2'(1'(0'(0'(1'(0'(0'(2'(1'(2'(0'(2'(0'(0'(2'(1'(2'(2'(1'(1'(2'(2'(2'(1'(2'(1'(0'(0'(2'(0'(0'(2'(2'(2'(1'(0'(2'(0'(x1)))))))))))))))))))))))))))))))))))))))))))))))))) [1] 1'(c_2(c_1(c_2(c_1(c_0(c_2(c_2(c_2(c_1(c_2(c_0(c_0(c_2(c_2(c_0(c_1(c_2(c_1(c_1(c_2(c_1(c_0(c_1(c_2(c_2(c_1(c_2(c_0(c_1(c_2(c_2(c_1(c_2(c_2(c_1(c_1(c_2(c_1(c_0(c_1(c_1(c_1(x1))))))))))))))))))))))))))))))))))))))))))) -> 1'(0'(0'(2'(1'(0'(1'(2'(2'(1'(0'(1'(2'(1'(0'(1'(0'(1'(2'(0'(2'(2'(1'(0'(2'(1'(2'(2'(2'(0'(0'(1'(2'(0'(2'(0'(0'(1'(1'(0'(2'(1'(2'(0'(1'(x1))))))))))))))))))))))))))))))))))))))))))))) [1] 1'(c_1(c_0(c_1(c_1(c_1(c_1(c_0(c_1(c_0(c_0(c_2(c_1(c_1(c_2(c_0(c_0(c_1(c_1(c_0(c_2(c_0(c_0(c_0(x1)))))))))))))))))))))))) -> 2'(0'(0'(2'(1'(0'(2'(2'(2'(0'(0'(2'(2'(2'(2'(0'(0'(0'(2'(0'(1'(2'(0'(0'(0'(x1))))))))))))))))))))))))) [1] 2'(c_1(c_0(c_0(c_1(c_1(c_0(c_2(c_2(c_0(c_1(c_0(c_0(c_1(c_2(c_0(c_2(c_1(c_2(c_0(c_1(c_0(c_0(c_0(x1)))))))))))))))))))))))) -> 2'(1'(1'(0'(1'(2'(0'(0'(2'(0'(2'(0'(2'(1'(0'(1'(2'(0'(1'(0'(2'(1'(1'(2'(0'(0'(x1)))))))))))))))))))))))))) [1] 1'(c_2(c_0(c_0(c_0(c_2(c_0(c_1(c_1(c_2(c_2(c_0(c_0(c_2(c_2(c_0(c_2(c_1(c_1(c_1(c_2(c_1(c_1(c_1(c_0(c_1(c_2(c_1(c_2(c_1(x1)))))))))))))))))))))))))))))) -> 1'(0'(2'(0'(1'(1'(2'(0'(2'(1'(0'(0'(1'(2'(2'(0'(1'(1'(2'(0'(2'(2'(1'(2'(2'(2'(2'(1'(1'(1'(2'(x1))))))))))))))))))))))))))))))) [1] 0'(c_2(c_2(c_0(c_1(c_2(c_0(c_0(c_0(c_2(c_2(c_2(c_1(c_2(c_2(c_2(c_1(c_0(c_0(c_0(c_2(c_0(c_2(c_1(c_1(c_0(c_2(c_1(c_2(c_0(c_1(c_0(c_2(c_1(c_2(c_0(c_2(c_1(c_0(c_1(c_0(c_1(x1)))))))))))))))))))))))))))))))))))))))))) -> 0'(1'(1'(1'(2'(0'(0'(0'(0'(1'(1'(2'(0'(2'(0'(2'(0'(0'(0'(2'(2'(0'(0'(0'(0'(2'(2'(0'(1'(1'(0'(0'(1'(2'(1'(2'(0'(1'(2'(0'(0'(2'(0'(0'(0'(x1))))))))))))))))))))))))))))))))))))))))))))) [1] 0'(c_2(c_1(c_2(c_0(c_1(c_2(c_1(c_1(c_1(c_2(c_0(c_0(c_0(c_0(c_1(c_2(c_1(c_0(c_0(c_2(c_2(c_2(c_0(c_1(c_2(c_0(c_2(c_1(c_1(c_2(c_2(c_1(c_2(c_1(x1))))))))))))))))))))))))))))))))))) -> 0'(2'(1'(2'(0'(2'(0'(1'(0'(1'(0'(0'(1'(2'(0'(2'(2'(1'(0'(2'(1'(2'(0'(0'(1'(2'(1'(2'(2'(2'(1'(2'(1'(1'(1'(x1))))))))))))))))))))))))))))))))))) [1] 2'(c_2(c_0(c_1(c_2(c_1(c_2(c_1(c_0(c_2(c_1(c_1(c_0(c_0(c_1(c_0(c_1(c_2(c_1(c_1(c_0(c_1(c_0(c_2(c_1(c_1(c_2(c_0(c_0(c_0(x1)))))))))))))))))))))))))))))) -> 1'(0'(0'(1'(0'(0'(2'(1'(2'(2'(1'(0'(2'(1'(2'(2'(1'(0'(1'(1'(2'(1'(0'(2'(0'(1'(2'(2'(0'(2'(0'(x1))))))))))))))))))))))))))))))) [1] 2'(c_1(c_1(c_2(c_0(c_2(c_0(c_2(c_0(c_1(c_1(c_0(c_2(c_2(c_2(c_2(c_1(c_1(c_1(c_0(c_0(c_0(c_1(c_1(c_0(c_0(c_0(c_1(c_2(c_0(c_0(c_0(c_0(c_1(c_0(c_1(c_2(c_1(c_2(c_2(c_0(c_1(x1)))))))))))))))))))))))))))))))))))))))))) -> 2'(2'(2'(0'(0'(1'(2'(0'(0'(2'(0'(1'(1'(0'(2'(0'(1'(2'(0'(1'(0'(0'(2'(0'(2'(1'(1'(0'(2'(1'(0'(0'(2'(2'(1'(2'(2'(2'(0'(1'(1'(2'(0'(2'(0'(x1))))))))))))))))))))))))))))))))))))))))))))) [1] 2'(c_1(c_2(c_0(c_2(c_2(c_0(c_2(c_0(c_0(c_1(c_0(c_1(c_0(c_0(c_1(c_0(c_2(c_2(c_1(c_0(c_2(c_1(c_1(c_0(c_2(c_1(c_1(c_0(c_1(c_2(c_2(c_0(c_0(c_0(c_1(c_2(c_1(c_2(c_0(c_1(c_1(c_1(c_2(c_1(c_1(c_0(x1))))))))))))))))))))))))))))))))))))))))))))))) -> 0'(2'(2'(0'(1'(2'(1'(0'(2'(0'(2'(0'(0'(1'(2'(2'(1'(1'(2'(2'(2'(0'(1'(2'(0'(0'(2'(2'(0'(0'(0'(1'(2'(2'(1'(2'(2'(1'(0'(2'(1'(1'(1'(1'(0'(1'(0'(2'(0'(x1))))))))))))))))))))))))))))))))))))))))))))))))) [1] 2'(c_2(c_2(c_0(c_1(c_1(c_1(c_1(c_1(c_1(c_0(c_2(c_1(c_1(c_0(c_0(c_0(c_1(c_1(c_2(c_2(c_2(c_2(c_2(c_2(c_2(c_2(c_0(c_0(c_1(c_0(c_2(c_0(c_1(x1)))))))))))))))))))))))))))))))))) -> 0'(1'(0'(0'(1'(0'(0'(1'(2'(0'(2'(0'(2'(0'(2'(0'(2'(2'(1'(0'(2'(1'(1'(1'(1'(1'(1'(0'(1'(0'(1'(1'(0'(0'(0'(x1))))))))))))))))))))))))))))))))))) [1] 2'(c_0(c_2(c_2(c_1(c_2(c_1(c_2(c_2(c_2(c_0(c_1(c_0(c_2(c_2(c_1(c_0(c_0(c_0(c_1(c_2(c_0(c_1(c_2(c_1(c_0(c_0(c_2(c_2(c_0(c_2(c_1(c_1(c_1(c_0(c_0(c_1(x1))))))))))))))))))))))))))))))))))))) -> 1'(2'(2'(0'(0'(0'(1'(1'(0'(2'(0'(2'(0'(0'(2'(0'(1'(1'(2'(0'(2'(0'(1'(2'(1'(2'(1'(2'(1'(0'(2'(2'(2'(1'(0'(1'(0'(1'(0'(x1))))))))))))))))))))))))))))))))))))))) [1] 2'(c_2(c_2(c_0(c_0(c_2(c_0(c_2(c_1(c_2(c_1(c_2(c_1(c_0(c_1(c_1(c_2(c_1(c_1(c_2(c_0(c_1(c_0(c_1(c_0(c_0(c_1(c_1(c_2(c_1(c_1(c_2(c_2(c_1(c_1(c_1(c_1(c_0(c_1(x1))))))))))))))))))))))))))))))))))))))) -> 1'(0'(2'(1'(1'(2'(1'(1'(2'(0'(0'(2'(2'(0'(2'(0'(1'(2'(1'(0'(2'(0'(1'(2'(1'(2'(2'(2'(2'(0'(2'(2'(2'(1'(0'(2'(0'(0'(1'(1'(x1)))))))))))))))))))))))))))))))))))))))) [1] 1'(c_1(c_1(c_2(c_0(c_1(c_0(c_1(c_0(c_1(c_1(c_1(c_2(c_1(c_1(c_2(c_1(c_2(c_2(c_1(c_1(c_2(c_1(c_1(c_2(c_1(c_2(c_0(c_0(c_2(c_2(c_2(c_1(c_2(c_0(c_0(c_0(c_0(c_1(c_1(c_0(c_0(x1)))))))))))))))))))))))))))))))))))))))))) -> 1'(2'(1'(0'(1'(2'(0'(1'(0'(2'(0'(2'(2'(2'(0'(1'(1'(1'(1'(2'(1'(0'(2'(2'(1'(0'(2'(2'(1'(1'(0'(2'(1'(2'(0'(2'(0'(2'(1'(0'(0'(0'(0'(x1))))))))))))))))))))))))))))))))))))))))))) [1] 0'(c_2(c_2(c_2(c_1(c_2(c_0(c_2(c_1(c_0(c_1(c_2(c_2(c_0(c_1(c_1(c_0(c_2(c_0(c_0(c_1(c_2(c_2(c_2(c_0(c_0(c_2(c_0(c_2(c_2(c_1(c_0(c_0(c_1(c_0(c_0(x1)))))))))))))))))))))))))))))))))))) -> 0'(0'(0'(2'(0'(0'(0'(2'(2'(2'(0'(1'(0'(2'(1'(2'(2'(0'(1'(2'(2'(0'(0'(0'(1'(0'(0'(0'(2'(0'(1'(1'(0'(2'(0'(2'(0'(x1))))))))))))))))))))))))))))))))))))) [1] 1'(c_2(c_1(c_1(c_1(c_2(c_1(c_0(c_2(c_2(c_0(c_1(c_2(c_0(c_0(c_1(c_0(c_0(c_2(c_1(c_2(c_1(c_2(c_1(c_0(c_1(c_0(c_2(c_1(c_0(x1)))))))))))))))))))))))))))))) -> 1'(0'(1'(0'(0'(0'(2'(0'(1'(1'(1'(2'(2'(2'(2'(1'(0'(2'(0'(2'(2'(1'(1'(0'(1'(2'(2'(1'(1'(1'(0'(x1))))))))))))))))))))))))))))))) [1] 1'(c_0(c_1(c_2(c_0(c_1(c_0(c_2(c_2(c_1(c_2(c_2(c_0(c_0(c_0(c_2(c_1(c_1(c_2(c_0(c_2(c_1(c_1(c_1(c_0(c_1(c_0(c_0(c_0(c_2(c_1(c_1(c_2(c_1(c_0(c_0(x1)))))))))))))))))))))))))))))))))))) -> 1'(1'(2'(1'(0'(2'(1'(1'(2'(0'(2'(1'(1'(1'(2'(2'(0'(2'(1'(2'(2'(1'(1'(1'(0'(1'(0'(2'(0'(0'(0'(2'(0'(2'(0'(0'(1'(x1))))))))))))))))))))))))))))))))))))) [1] 0'(c_2(c_1(c_1(c_1(c_0(c_2(c_1(c_1(c_0(c_0(c_2(c_1(c_0(c_2(c_1(c_1(c_0(c_2(c_2(c_1(c_0(c_2(c_0(c_1(c_0(c_2(c_1(c_0(c_1(c_1(c_2(c_2(c_1(c_0(c_1(c_2(c_2(c_0(c_0(x1)))))))))))))))))))))))))))))))))))))))) -> 0'(2'(1'(2'(2'(2'(2'(1'(1'(1'(1'(1'(2'(0'(0'(2'(0'(2'(0'(0'(2'(1'(1'(1'(0'(2'(0'(2'(2'(2'(1'(1'(1'(0'(0'(0'(1'(2'(2'(0'(2'(0'(x1)))))))))))))))))))))))))))))))))))))))))) [1] 2'(c_2(c_1(c_2(c_1(c_1(c_0(c_0(c_0(c_0(c_1(c_2(c_1(c_1(c_1(c_0(c_0(c_1(c_1(c_0(c_0(c_2(c_0(c_1(c_1(c_1(c_0(c_2(c_2(c_1(c_2(c_0(c_0(c_1(c_0(c_0(c_1(x1))))))))))))))))))))))))))))))))))))) -> 2'(0'(1'(2'(0'(2'(0'(1'(1'(0'(0'(1'(0'(1'(0'(2'(0'(1'(0'(2'(2'(2'(1'(2'(1'(0'(2'(0'(2'(0'(0'(2'(0'(1'(1'(1'(2'(0'(0'(2'(1'(0'(x1)))))))))))))))))))))))))))))))))))))))))) [1] 2'(c_1(c_2(c_0(c_0(c_2(c_1(c_0(c_1(c_2(c_1(c_2(c_0(c_0(c_0(c_0(c_1(c_1(c_1(c_0(c_2(c_0(c_1(c_0(c_2(c_1(c_2(c_1(c_2(c_0(c_2(c_1(c_1(c_1(c_1(c_0(c_1(c_0(c_0(c_1(c_1(c_0(x1)))))))))))))))))))))))))))))))))))))))))) -> 2'(2'(1'(1'(1'(1'(2'(2'(0'(2'(1'(1'(1'(2'(2'(1'(0'(1'(0'(1'(2'(0'(2'(2'(2'(1'(1'(2'(0'(1'(2'(0'(1'(0'(0'(2'(1'(0'(2'(0'(1'(0'(1'(x1))))))))))))))))))))))))))))))))))))))))))) [1] 0'(c_0(c_0(c_2(c_2(c_0(c_2(c_1(c_1(c_0(c_0(c_2(c_2(c_1(c_2(c_0(c_1(c_0(c_1(c_0(c_1(c_1(c_0(c_0(x1)))))))))))))))))))))))) -> 0'(0'(1'(0'(2'(0'(0'(1'(2'(2'(2'(2'(2'(1'(0'(1'(2'(1'(2'(0'(1'(1'(1'(1'(1'(x1))))))))))))))))))))))))) [1] 0'(c_1(c_1(c_1(c_0(c_1(c_0(c_0(c_2(c_1(c_0(c_0(c_1(c_0(c_0(c_0(c_0(c_1(c_1(c_2(c_1(c_1(c_1(c_0(c_0(c_0(c_1(c_2(c_0(c_2(c_2(c_2(c_2(c_0(c_2(c_0(c_0(x1))))))))))))))))))))))))))))))))))))) -> 0'(0'(2'(0'(1'(2'(0'(0'(1'(2'(0'(2'(1'(1'(0'(2'(1'(2'(2'(2'(2'(2'(0'(0'(1'(0'(1'(1'(2'(0'(0'(1'(1'(1'(1'(1'(2'(0'(x1)))))))))))))))))))))))))))))))))))))) [1] encArg(cons_0(x_1)) -> 0'(encArg(x_1)) [0] encArg(cons_2(x_1)) -> 2'(encArg(x_1)) [0] encArg(cons_1(x_1)) -> 1'(encArg(x_1)) [0] encode_0(x_1) -> 0'(encArg(x_1)) [0] encode_1(x_1) -> 1'(encArg(x_1)) [0] encode_2(x_1) -> 2'(encArg(x_1)) [0] 0'(x0) -> c_0(x0) [0] 1'(x0) -> c_1(x0) [0] 2'(x0) -> c_2(x0) [0] encArg(v0) -> null_encArg [0] encode_0(v0) -> null_encode_0 [0] encode_1(v0) -> null_encode_1 [0] encode_2(v0) -> null_encode_2 [0] 0'(v0) -> null_0' [0] 1'(v0) -> null_1' [0] 2'(v0) -> null_2' [0] The TRS has the following type information: 0' :: c_1:c_2:c_0:null_encArg:null_encode_0:null_encode_1:null_encode_2:null_0':null_1':null_2' -> c_1:c_2:c_0:null_encArg:null_encode_0:null_encode_1:null_encode_2:null_0':null_1':null_2' c_1 :: c_1:c_2:c_0:null_encArg:null_encode_0:null_encode_1:null_encode_2:null_0':null_1':null_2' -> c_1:c_2:c_0:null_encArg:null_encode_0:null_encode_1:null_encode_2:null_0':null_1':null_2' c_0 :: c_1:c_2:c_0:null_encArg:null_encode_0:null_encode_1:null_encode_2:null_0':null_1':null_2' -> c_1:c_2:c_0:null_encArg:null_encode_0:null_encode_1:null_encode_2:null_0':null_1':null_2' c_2 :: c_1:c_2:c_0:null_encArg:null_encode_0:null_encode_1:null_encode_2:null_0':null_1':null_2' -> c_1:c_2:c_0:null_encArg:null_encode_0:null_encode_1:null_encode_2:null_0':null_1':null_2' 2' :: c_1:c_2:c_0:null_encArg:null_encode_0:null_encode_1:null_encode_2:null_0':null_1':null_2' -> c_1:c_2:c_0:null_encArg:null_encode_0:null_encode_1:null_encode_2:null_0':null_1':null_2' 1' :: c_1:c_2:c_0:null_encArg:null_encode_0:null_encode_1:null_encode_2:null_0':null_1':null_2' -> c_1:c_2:c_0:null_encArg:null_encode_0:null_encode_1:null_encode_2:null_0':null_1':null_2' encArg :: cons_0:cons_2:cons_1 -> c_1:c_2:c_0:null_encArg:null_encode_0:null_encode_1:null_encode_2:null_0':null_1':null_2' cons_0 :: cons_0:cons_2:cons_1 -> cons_0:cons_2:cons_1 cons_2 :: cons_0:cons_2:cons_1 -> cons_0:cons_2:cons_1 cons_1 :: cons_0:cons_2:cons_1 -> cons_0:cons_2:cons_1 encode_0 :: cons_0:cons_2:cons_1 -> c_1:c_2:c_0:null_encArg:null_encode_0:null_encode_1:null_encode_2:null_0':null_1':null_2' encode_1 :: cons_0:cons_2:cons_1 -> c_1:c_2:c_0:null_encArg:null_encode_0:null_encode_1:null_encode_2:null_0':null_1':null_2' encode_2 :: cons_0:cons_2:cons_1 -> c_1:c_2:c_0:null_encArg:null_encode_0:null_encode_1:null_encode_2:null_0':null_1':null_2' null_encArg :: c_1:c_2:c_0:null_encArg:null_encode_0:null_encode_1:null_encode_2:null_0':null_1':null_2' null_encode_0 :: c_1:c_2:c_0:null_encArg:null_encode_0:null_encode_1:null_encode_2:null_0':null_1':null_2' null_encode_1 :: c_1:c_2:c_0:null_encArg:null_encode_0:null_encode_1:null_encode_2:null_0':null_1':null_2' null_encode_2 :: c_1:c_2:c_0:null_encArg:null_encode_0:null_encode_1:null_encode_2:null_0':null_1':null_2' null_0' :: c_1:c_2:c_0:null_encArg:null_encode_0:null_encode_1:null_encode_2:null_0':null_1':null_2' null_1' :: c_1:c_2:c_0:null_encArg:null_encode_0:null_encode_1:null_encode_2:null_0':null_1':null_2' null_2' :: c_1:c_2:c_0:null_encArg:null_encode_0:null_encode_1:null_encode_2:null_0':null_1':null_2' const :: cons_0:cons_2:cons_1 Rewrite Strategy: INNERMOST ---------------------------------------- (33) CpxTypedWeightedTrsToRntsProof (UPPER BOUND(ID)) Transformed the TRS into an over-approximating RNTS by (improved) Size Abstraction. The constant constructors are abstracted as follows: null_encArg => 0 null_encode_0 => 0 null_encode_1 => 0 null_encode_2 => 0 null_0' => 0 null_1' => 0 null_2' => 0 const => 0 ---------------------------------------- (34) Obligation: Complexity RNTS consisting of the following rules: 0'(z) -{ 1 }-> 0'(2'(2'(1'(0'(0'(0'(2'(2'(1'(0'(2'(0'(2'(0'(1'(2'(0'(1'(2'(0'(1'(2'(0'(2'(0'(1'(2'(1'(2'(1'(x1))))))))))))))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))))))))))))))) 0'(z) -{ 1 }-> 0'(2'(2'(0'(2'(2'(2'(0'(0'(2'(2'(1'(0'(1'(0'(0'(2'(2'(1'(1'(0'(2'(2'(0'(2'(2'(2'(0'(1'(2'(0'(0'(2'(0'(2'(0'(2'(1'(1'(2'(2'(1'(2'(1'(1'(0'(x1)))))))))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1))))))))))))))))))))))))))))))))))))))))))), x1 >= 0 0'(z) -{ 1 }-> 0'(2'(1'(2'(2'(2'(2'(1'(1'(1'(1'(1'(2'(0'(0'(2'(0'(2'(0'(0'(2'(1'(1'(1'(0'(2'(0'(2'(2'(2'(1'(1'(1'(0'(0'(0'(1'(2'(2'(0'(2'(0'(x1)))))))))))))))))))))))))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))))))))))))))))))))))))) 0'(z) -{ 1 }-> 0'(2'(1'(2'(0'(2'(0'(1'(0'(1'(0'(0'(1'(2'(0'(2'(2'(1'(0'(2'(1'(2'(0'(0'(1'(2'(1'(2'(2'(2'(1'(2'(1'(1'(1'(x1))))))))))))))))))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1))))))))))))))))))))))))))))))))) 0'(z) -{ 1 }-> 0'(2'(1'(1'(0'(2'(2'(0'(2'(2'(0'(0'(2'(0'(1'(2'(1'(2'(x1)))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1))))))))))))))) 0'(z) -{ 1 }-> 0'(2'(0'(2'(0'(2'(0'(2'(0'(1'(2'(x1))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))) 0'(z) -{ 1 }-> 0'(2'(0'(1'(0'(1'(1'(1'(1'(x1))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))) 0'(z) -{ 1 }-> 0'(1'(1'(1'(2'(0'(0'(0'(0'(1'(1'(2'(0'(2'(0'(2'(0'(0'(0'(2'(2'(0'(0'(0'(0'(2'(2'(0'(1'(1'(0'(0'(1'(2'(1'(2'(0'(1'(2'(0'(0'(2'(0'(0'(0'(x1))))))))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))))))))))))))))))))))))))), x1 >= 0 0'(z) -{ 1 }-> 0'(1'(1'(1'(1'(2'(0'(2'(1'(0'(0'(0'(1'(0'(0'(0'(x1)))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))) 0'(z) -{ 1 }-> 0'(1'(1'(0'(2'(1'(1'(1'(0'(2'(0'(1'(2'(0'(0'(0'(2'(2'(1'(0'(2'(2'(2'(1'(1'(1'(2'(1'(0'(2'(1'(1'(0'(1'(2'(0'(1'(1'(1'(x1))))))))))))))))))))))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1))))))))))))))))))))))))))))))))))) 0'(z) -{ 1 }-> 0'(1'(0'(0'(2'(0'(2'(0'(0'(2'(1'(0'(0'(2'(2'(1'(1'(2'(2'(2'(1'(2'(0'(1'(1'(2'(0'(2'(0'(2'(1'(2'(0'(2'(0'(1'(2'(0'(2'(1'(0'(0'(1'(x1))))))))))))))))))))))))))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))))))))))))))))))))))))) 0'(z) -{ 1 }-> 0'(1'(0'(0'(2'(0'(1'(1'(2'(2'(0'(0'(1'(0'(2'(0'(1'(1'(1'(1'(1'(2'(2'(2'(x1)))))))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1))))))))))))))))))))) 0'(z) -{ 1 }-> 0'(0'(2'(1'(1'(2'(0'(1'(2'(2'(2'(0'(2'(1'(2'(2'(0'(2'(1'(0'(0'(1'(2'(0'(0'(2'(0'(1'(0'(2'(0'(2'(x1)))))))))))))))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1))))))))))))))))))))))))))))) 0'(z) -{ 1 }-> 0'(0'(2'(0'(1'(2'(0'(0'(1'(2'(0'(2'(1'(1'(0'(2'(1'(2'(2'(2'(2'(2'(0'(0'(1'(0'(1'(1'(2'(0'(0'(1'(1'(1'(1'(1'(2'(0'(x1)))))))))))))))))))))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1))))))))))))))))))))))))))))))))))) 0'(z) -{ 1 }-> 0'(0'(2'(0'(1'(1'(1'(0'(0'(2'(1'(1'(2'(0'(0'(2'(2'(0'(1'(1'(1'(2'(0'(2'(0'(2'(1'(2'(1'(0'(x1)))))))))))))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))))))))))))))) 0'(z) -{ 1 }-> 0'(0'(2'(0'(0'(2'(2'(0'(0'(1'(1'(2'(1'(1'(1'(2'(0'(0'(1'(1'(2'(0'(2'(0'(2'(2'(1'(2'(2'(x1))))))))))))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))))))))))))) 0'(z) -{ 1 }-> 0'(0'(1'(1'(1'(2'(1'(2'(2'(0'(0'(1'(2'(2'(1'(2'(2'(1'(2'(0'(1'(0'(2'(0'(0'(2'(0'(2'(1'(0'(2'(1'(x1)))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))))))))))))))))), x1 >= 0 0'(z) -{ 1 }-> 0'(0'(1'(0'(2'(2'(0'(2'(0'(0'(2'(0'(2'(0'(1'(2'(0'(2'(0'(2'(0'(0'(1'(1'(2'(1'(0'(1'(0'(1'(2'(2'(0'(2'(2'(1'(0'(0'(2'(0'(2'(1'(0'(x1))))))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))))))))))))))))))))))))))), x1 >= 0 0'(z) -{ 1 }-> 0'(0'(1'(0'(2'(0'(0'(1'(2'(2'(2'(2'(2'(1'(0'(1'(2'(1'(2'(0'(1'(1'(1'(1'(1'(x1))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))))))))), x1 >= 0 0'(z) -{ 1 }-> 0'(0'(0'(2'(0'(0'(0'(2'(2'(2'(0'(1'(0'(2'(1'(2'(2'(0'(1'(2'(2'(0'(0'(0'(1'(0'(0'(0'(2'(0'(1'(1'(0'(2'(0'(2'(0'(x1))))))))))))))))))))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))))))))))))))))))))) 0'(z) -{ 0 }-> 0 :|: v0 >= 0, z = v0 0'(z) -{ 0 }-> 1 + x0 :|: z = x0, x0 >= 0 1'(z) -{ 1 }-> 2'(0'(2'(1'(0'(2'(2'(2'(0'(0'(0'(2'(2'(2'(2'(0'(2'(0'(2'(0'(x1)))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1))))))))))))))))) 1'(z) -{ 1 }-> 2'(0'(0'(2'(1'(0'(2'(2'(2'(0'(0'(2'(2'(2'(2'(0'(0'(0'(2'(0'(1'(2'(0'(0'(0'(x1))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))))))))), x1 >= 0 1'(z) -{ 1 }-> 2'(0'(0'(2'(0'(2'(1'(0'(0'(1'(0'(0'(0'(1'(1'(1'(0'(2'(1'(0'(1'(2'(0'(0'(1'(1'(2'(2'(1'(0'(0'(2'(0'(0'(1'(2'(1'(0'(1'(x1))))))))))))))))))))))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))))))))))))))))))))))) 1'(z) -{ 1 }-> 2'(0'(0'(0'(2'(2'(1'(2'(0'(2'(0'(1'(0'(0'(2'(0'(2'(0'(0'(2'(1'(0'(x1)))))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1))))))))))))))))))) 1'(z) -{ 1 }-> 1'(2'(2'(1'(2'(1'(1'(1'(1'(1'(2'(2'(1'(1'(1'(0'(2'(2'(2'(0'(2'(0'(0'(2'(2'(0'(0'(0'(2'(0'(2'(0'(2'(2'(2'(1'(0'(2'(0'(2'(2'(x1))))))))))))))))))))))))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1))))))))))))))))))))))))))))))))))))) 1'(z) -{ 1 }-> 1'(2'(1'(0'(1'(2'(0'(1'(0'(2'(0'(2'(2'(2'(0'(1'(1'(1'(1'(2'(1'(0'(2'(2'(1'(0'(2'(2'(1'(1'(0'(2'(1'(2'(0'(2'(0'(2'(1'(0'(0'(0'(0'(x1))))))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))))))))))))))))))))))))))), x1 >= 0 1'(z) -{ 1 }-> 1'(2'(0'(0'(1'(1'(0'(0'(1'(2'(x1)))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))) 1'(z) -{ 1 }-> 1'(1'(2'(1'(1'(1'(0'(1'(2'(0'(0'(1'(2'(2'(0'(2'(0'(0'(2'(0'(1'(0'(2'(0'(0'(1'(0'(0'(0'(2'(0'(2'(1'(2'(2'(0'(1'(x1))))))))))))))))))))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))))))))))))))))))) 1'(z) -{ 1 }-> 1'(1'(2'(1'(0'(2'(1'(1'(2'(0'(2'(1'(1'(1'(2'(2'(0'(2'(1'(2'(2'(1'(1'(1'(0'(1'(0'(2'(0'(0'(0'(2'(0'(2'(0'(0'(1'(x1))))))))))))))))))))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))))))))))))))))))))) 1'(z) -{ 1 }-> 1'(1'(2'(1'(0'(2'(0'(2'(2'(2'(1'(1'(1'(1'(0'(2'(1'(1'(2'(1'(0'(0'(2'(1'(0'(0'(2'(0'(2'(1'(2'(2'(1'(0'(1'(1'(2'(0'(1'(0'(2'(2'(2'(0'(0'(x1))))))))))))))))))))))))))))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))))))))))))))))))))))))))))) 1'(z) -{ 1 }-> 1'(1'(1'(2'(1'(0'(2'(1'(0'(2'(1'(1'(2'(2'(1'(2'(1'(1'(1'(2'(1'(0'(2'(0'(0'(2'(0'(2'(2'(1'(1'(2'(x1)))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))))))))))))))))), x1 >= 0 1'(z) -{ 1 }-> 1'(1'(1'(1'(2'(0'(2'(0'(0'(1'(2'(0'(0'(0'(0'(2'(2'(1'(0'(0'(2'(0'(1'(2'(0'(1'(2'(0'(0'(x1))))))))))))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))))))))))))) 1'(z) -{ 1 }-> 1'(1'(1'(1'(2'(0'(1'(1'(1'(0'(1'(0'(2'(0'(0'(1'(1'(2'(1'(0'(2'(2'(0'(0'(0'(0'(1'(2'(0'(1'(0'(0'(2'(0'(1'(2'(0'(x1))))))))))))))))))))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1))))))))))))))))))))))))))))))))) 1'(z) -{ 1 }-> 1'(1'(0'(1'(2'(2'(0'(2'(0'(1'(2'(2'(2'(x1))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))) 1'(z) -{ 1 }-> 1'(0'(2'(0'(1'(1'(2'(1'(1'(x1))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1))))))) 1'(z) -{ 1 }-> 1'(0'(2'(0'(1'(1'(2'(0'(2'(1'(0'(0'(1'(2'(2'(0'(1'(1'(2'(0'(2'(2'(1'(2'(2'(2'(2'(1'(1'(1'(2'(x1))))))))))))))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))))))))))))))) 1'(z) -{ 1 }-> 1'(0'(2'(0'(1'(0'(2'(0'(1'(1'(0'(0'(0'(1'(2'(0'(1'(1'(1'(0'(2'(0'(2'(0'(0'(2'(0'(2'(2'(1'(2'(0'(2'(2'(0'(1'(0'(x1))))))))))))))))))))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1))))))))))))))))))))))))))))))))) 1'(z) -{ 1 }-> 1'(0'(1'(0'(2'(2'(0'(2'(0'(1'(1'(2'(2'(1'(2'(2'(2'(2'(0'(0'(1'(1'(0'(1'(0'(2'(0'(x1))))))))))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))))))))))) 1'(z) -{ 1 }-> 1'(0'(1'(0'(0'(0'(2'(0'(1'(1'(1'(2'(2'(2'(2'(1'(0'(2'(0'(2'(2'(1'(1'(0'(1'(2'(2'(1'(1'(1'(0'(x1))))))))))))))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))))))))))))))) 1'(z) -{ 1 }-> 1'(0'(0'(2'(1'(0'(1'(2'(2'(1'(0'(1'(2'(1'(0'(1'(0'(1'(2'(0'(2'(2'(1'(0'(2'(1'(2'(2'(2'(0'(0'(1'(2'(0'(2'(0'(0'(1'(1'(0'(2'(1'(2'(0'(1'(x1))))))))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1))))))))))))))))))))))))))))))))))))))))), x1 >= 0 1'(z) -{ 0 }-> 0 :|: v0 >= 0, z = v0 1'(z) -{ 0 }-> 1 + x0 :|: z = x0, x0 >= 0 2'(z) -{ 1 }-> 2'(2'(2'(0'(0'(1'(2'(0'(0'(2'(0'(1'(1'(0'(2'(0'(1'(2'(0'(1'(0'(0'(2'(0'(2'(1'(1'(0'(2'(1'(0'(0'(2'(2'(1'(2'(2'(2'(0'(1'(1'(2'(0'(2'(0'(x1))))))))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))))))))))))))))))))))))))), x1 >= 0 2'(z) -{ 1 }-> 2'(2'(1'(1'(1'(1'(2'(2'(0'(2'(1'(1'(1'(2'(2'(1'(0'(1'(0'(1'(2'(0'(2'(2'(2'(1'(1'(2'(0'(1'(2'(0'(1'(0'(0'(2'(1'(0'(2'(0'(1'(0'(1'(x1))))))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))))))))))))))))))))))))))), x1 >= 0 2'(z) -{ 1 }-> 2'(2'(0'(0'(1'(2'(0'(2'(1'(2'(1'(1'(1'(2'(2'(1'(0'(0'(1'(0'(0'(2'(0'(1'(2'(1'(2'(1'(0'(2'(0'(2'(0'(1'(1'(1'(0'(1'(1'(0'(x1)))))))))))))))))))))))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))))))))))))))))))))))))) 2'(z) -{ 1 }-> 2'(1'(2'(0'(0'(1'(2'(0'(1'(2'(0'(0'(0'(2'(2'(0'(2'(0'(1'(0'(0'(0'(2'(0'(0'(2'(2'(0'(2'(2'(2'(0'(0'(2'(0'(1'(0'(2'(0'(1'(0'(x1))))))))))))))))))))))))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1))))))))))))))))))))))))))))))))))))) 2'(z) -{ 1 }-> 2'(1'(1'(2'(1'(1'(1'(0'(2'(0'(1'(1'(1'(2'(0'(0'(2'(2'(1'(2'(2'(2'(2'(0'(2'(0'(1'(1'(0'(1'(2'(2'(2'(1'(1'(2'(1'(1'(1'(0'(0'(0'(2'(0'(1'(0'(x1)))))))))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1))))))))))))))))))))))))))))))))))))))))))), x1 >= 0 2'(z) -{ 1 }-> 2'(1'(1'(0'(1'(2'(0'(0'(2'(0'(2'(0'(2'(1'(0'(1'(2'(0'(1'(0'(2'(1'(1'(2'(0'(0'(x1)))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))))))))), x1 >= 0 2'(z) -{ 1 }-> 2'(1'(0'(2'(2'(1'(0'(0'(0'(2'(2'(2'(1'(2'(0'(1'(0'(0'(1'(0'(0'(0'(2'(1'(1'(0'(0'(2'(0'(1'(2'(0'(2'(2'(1'(0'(2'(0'(0'(x1))))))))))))))))))))))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))))))))))))))))))))))) 2'(z) -{ 1 }-> 2'(0'(2'(0'(2'(0'(2'(0'(2'(0'(2'(1'(2'(1'(0'(0'(1'(0'(0'(2'(1'(2'(0'(2'(0'(0'(2'(1'(2'(2'(1'(1'(2'(2'(2'(1'(2'(1'(0'(0'(2'(0'(0'(2'(2'(2'(1'(0'(2'(0'(x1)))))))))))))))))))))))))))))))))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1))))))))))))))))))))))))))))))))))))))))))))) 2'(z) -{ 1 }-> 2'(0'(1'(2'(1'(2'(0'(2'(0'(1'(2'(0'(1'(1'(0'(2'(2'(0'(0'(1'(1'(2'(2'(1'(1'(1'(2'(1'(2'(2'(0'(2'(2'(1'(0'(1'(1'(1'(1'(1'(0'(1'(2'(0'(x1)))))))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1))))))))))))))))))))))))))))))))))))))))), x1 >= 0 2'(z) -{ 1 }-> 2'(0'(1'(2'(0'(2'(0'(1'(1'(0'(0'(1'(0'(1'(0'(2'(0'(1'(0'(2'(2'(2'(1'(2'(1'(0'(2'(0'(2'(0'(0'(2'(0'(1'(1'(1'(2'(0'(0'(2'(1'(0'(x1)))))))))))))))))))))))))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1))))))))))))))))))))))))))))))))))) 2'(z) -{ 1 }-> 2'(0'(0'(2'(0'(0'(1'(2'(2'(2'(2'(2'(1'(2'(0'(2'(0'(1'(2'(1'(0'(0'(1'(1'(0'(1'(1'(1'(2'(0'(2'(0'(2'(1'(0'(1'(2'(0'(1'(2'(0'(1'(x1)))))))))))))))))))))))))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))))))))))))))))))))))))) 2'(z) -{ 1 }-> 2'(0'(0'(2'(0'(0'(1'(2'(0'(2'(2'(0'(2'(2'(2'(0'(0'(0'(1'(0'(2'(0'(0'(1'(2'(0'(0'(2'(0'(1'(2'(0'(0'(1'(0'(x1))))))))))))))))))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))))))))))))))))))) 2'(z) -{ 1 }-> 2'(0'(0'(1'(2'(1'(1'(2'(0'(2'(0'(1'(1'(1'(1'(2'(0'(1'(2'(1'(2'(2'(2'(2'(2'(2'(0'(2'(2'(x1))))))))))))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))))))))))))) 2'(z) -{ 1 }-> 1'(2'(2'(2'(0'(2'(0'(2'(1'(2'(0'(0'(0'(1'(1'(0'(1'(2'(0'(0'(0'(2'(0'(0'(0'(1'(0'(2'(2'(2'(2'(1'(0'(2'(2'(x1))))))))))))))))))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))))))))))))))))))) 2'(z) -{ 1 }-> 1'(2'(2'(0'(0'(1'(2'(0'(x1)))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))) 2'(z) -{ 1 }-> 1'(2'(2'(0'(0'(0'(1'(1'(0'(2'(0'(2'(0'(0'(2'(0'(1'(1'(2'(0'(2'(0'(1'(2'(1'(2'(1'(2'(1'(0'(2'(2'(2'(1'(0'(1'(0'(1'(0'(x1))))))))))))))))))))))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1))))))))))))))))))))))))))))))))))) 2'(z) -{ 1 }-> 1'(2'(1'(2'(2'(0'(0'(2'(0'(0'(0'(2'(2'(1'(0'(2'(0'(0'(2'(0'(2'(1'(x1)))))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1))))))))))))))))))) 2'(z) -{ 1 }-> 1'(2'(0'(1'(1'(2'(0'(2'(2'(0'(2'(1'(0'(2'(0'(2'(0'(1'(1'(0'(1'(2'(2'(1'(0'(1'(0'(0'(0'(2'(0'(2'(2'(1'(0'(0'(0'(1'(0'(1'(x1)))))))))))))))))))))))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1))))))))))))))))))))))))))))))))))))) 2'(z) -{ 1 }-> 1'(0'(2'(1'(1'(2'(1'(1'(2'(0'(0'(2'(2'(0'(2'(0'(1'(2'(1'(0'(2'(0'(1'(2'(1'(2'(2'(2'(2'(0'(2'(2'(2'(1'(0'(2'(0'(0'(1'(1'(x1)))))))))))))))))))))))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1))))))))))))))))))))))))))))))))))))) 2'(z) -{ 1 }-> 1'(0'(2'(1'(0'(2'(0'(2'(2'(0'(0'(2'(0'(0'(0'(2'(0'(1'(1'(1'(2'(0'(x1)))))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))))) 2'(z) -{ 1 }-> 1'(0'(2'(0'(2'(0'(0'(0'(0'(2'(2'(0'(0'(2'(0'(0'(2'(0'(2'(1'(0'(0'(2'(0'(1'(2'(0'(0'(0'(1'(2'(1'(1'(2'(0'(2'(x1)))))))))))))))))))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))))))))))))))))))) 2'(z) -{ 1 }-> 1'(0'(2'(0'(1'(0'(1'(0'(2'(0'(1'(1'(1'(2'(1'(0'(2'(0'(2'(0'(2'(2'(0'(0'(2'(0'(2'(x1))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1))))))))))))))))))))))), x1 >= 0 2'(z) -{ 1 }-> 1'(0'(1'(2'(1'(2'(1'(2'(2'(2'(1'(0'(2'(1'(0'(0'(2'(0'(0'(0'(2'(0'(1'(0'(1'(1'(2'(2'(0'(1'(1'(0'(2'(0'(0'(2'(0'(1'(0'(1'(x1)))))))))))))))))))))))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1))))))))))))))))))))))))))))))))))) 2'(z) -{ 1 }-> 1'(0'(1'(1'(2'(1'(1'(2'(1'(0'(0'(0'(1'(0'(0'(2'(0'(0'(2'(0'(1'(0'(1'(x1))))))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))))))) 2'(z) -{ 1 }-> 1'(0'(0'(1'(0'(0'(2'(1'(2'(2'(1'(0'(2'(1'(2'(2'(1'(0'(1'(1'(2'(1'(0'(2'(0'(1'(2'(2'(0'(2'(0'(x1))))))))))))))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))))))))))))))) 2'(z) -{ 1 }-> 0'(2'(2'(2'(1'(2'(1'(2'(0'(1'(1'(1'(1'(1'(2'(2'(0'(0'(0'(2'(2'(2'(1'(1'(0'(1'(1'(0'(1'(1'(1'(2'(0'(0'(2'(0'(1'(1'(2'(2'(2'(1'(0'(2'(2'(2'(2'(2'(0'(x1))))))))))))))))))))))))))))))))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1))))))))))))))))))))))))))))))))))))))))))))) 2'(z) -{ 1 }-> 0'(2'(2'(0'(1'(2'(1'(0'(2'(0'(2'(0'(0'(1'(2'(2'(1'(1'(2'(2'(2'(0'(1'(2'(0'(0'(2'(2'(0'(0'(0'(1'(2'(2'(1'(2'(2'(1'(0'(2'(1'(1'(1'(1'(0'(1'(0'(2'(0'(x1))))))))))))))))))))))))))))))))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1))))))))))))))))))))))))))))))))))))))))))))) 2'(z) -{ 1 }-> 0'(2'(1'(2'(2'(0'(1'(0'(1'(2'(0'(0'(1'(1'(1'(0'(1'(1'(1'(1'(2'(0'(2'(2'(0'(2'(1'(0'(2'(x1))))))))))))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1))))))))))))))))))))))))))) 2'(z) -{ 1 }-> 0'(2'(0'(1'(2'(1'(1'(0'(2'(2'(0'(0'(0'(0'(2'(0'(1'(0'(2'(1'(2'(2'(0'(1'(0'(1'(0'(1'(2'(0'(0'(2'(2'(0'(1'(0'(x1)))))))))))))))))))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1))))))))))))))))))))))))))))))))) 2'(z) -{ 1 }-> 0'(1'(2'(2'(0'(2'(0'(0'(0'(2'(0'(2'(1'(2'(0'(0'(1'(0'(2'(0'(0'(2'(0'(1'(1'(2'(1'(1'(0'(2'(1'(2'(1'(2'(0'(0'(0'(1'(2'(0'(0'(1'(0'(x1))))))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))))))))))))))))))))))))))), x1 >= 0 2'(z) -{ 1 }-> 0'(1'(2'(0'(1'(2'(0'(2'(0'(2'(1'(2'(0'(0'(1'(2'(1'(1'(2'(0'(0'(1'(2'(2'(1'(2'(1'(0'(0'(1'(2'(1'(0'(0'(0'(0'(x1)))))))))))))))))))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))))))))))))))))))) 2'(z) -{ 1 }-> 0'(1'(0'(0'(1'(0'(0'(1'(2'(0'(2'(0'(2'(0'(2'(0'(2'(2'(1'(0'(2'(1'(1'(1'(1'(1'(1'(0'(1'(0'(1'(1'(0'(0'(0'(x1))))))))))))))))))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))))))))))))))))))) 2'(z) -{ 1 }-> 0'(0'(2'(0'(2'(0'(0'(2'(0'(0'(0'(1'(1'(1'(x1)))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1))))))))))) 2'(z) -{ 1 }-> 0'(0'(2'(0'(0'(1'(2'(0'(0'(1'(1'(0'(2'(0'(2'(2'(0'(1'(0'(2'(1'(0'(0'(x1))))))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1))))))))))))))))))))) 2'(z) -{ 1 }-> 0'(0'(2'(0'(0'(0'(1'(2'(1'(2'(0'(1'(1'(0'(2'(0'(1'(0'(1'(2'(0'(0'(1'(1'(2'(0'(0'(1'(1'(0'(2'(2'(0'(2'(2'(1'(1'(x1))))))))))))))))))))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1))))))))))))))))))))))))))))))))) 2'(z) -{ 0 }-> 0 :|: v0 >= 0, z = v0 2'(z) -{ 0 }-> 1 + x0 :|: z = x0, x0 >= 0 encArg(z) -{ 0 }-> 2'(encArg(x_1)) :|: z = 1 + x_1, x_1 >= 0 encArg(z) -{ 0 }-> 1'(encArg(x_1)) :|: z = 1 + x_1, x_1 >= 0 encArg(z) -{ 0 }-> 0'(encArg(x_1)) :|: z = 1 + x_1, x_1 >= 0 encArg(z) -{ 0 }-> 0 :|: v0 >= 0, z = v0 encode_0(z) -{ 0 }-> 0'(encArg(x_1)) :|: x_1 >= 0, z = x_1 encode_0(z) -{ 0 }-> 0 :|: v0 >= 0, z = v0 encode_1(z) -{ 0 }-> 1'(encArg(x_1)) :|: x_1 >= 0, z = x_1 encode_1(z) -{ 0 }-> 0 :|: v0 >= 0, z = v0 encode_2(z) -{ 0 }-> 2'(encArg(x_1)) :|: x_1 >= 0, z = x_1 encode_2(z) -{ 0 }-> 0 :|: v0 >= 0, z = v0 Only complete derivations are relevant for the runtime complexity. ---------------------------------------- (35) CpxTrsToCdtProof (UPPER BOUND(ID)) Converted Cpx (relative) TRS to CDT ---------------------------------------- (36) 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(0(1(1(0(0(0(1(z0)))))))) -> 0(2(0(1(0(1(1(1(1(z0))))))))) 0(1(2(1(1(1(0(2(0(2(z0)))))))))) -> 0(2(0(2(0(2(0(2(0(1(2(z0))))))))))) 0(1(0(1(2(0(0(1(0(0(1(2(1(0(1(0(z0)))))))))))))))) -> 0(1(1(1(1(2(0(2(1(0(0(0(1(0(0(0(z0)))))))))))))))) 0(1(0(1(1(0(1(2(2(1(1(1(0(2(1(1(1(z0))))))))))))))))) -> 0(2(1(1(0(2(2(0(2(2(0(0(2(0(1(2(1(2(z0)))))))))))))))))) 0(1(2(0(1(1(1(1(2(2(0(2(2(1(0(0(0(1(0(2(1(1(1(z0))))))))))))))))))))))) -> 0(1(0(0(2(0(1(1(2(2(0(0(1(0(2(0(1(1(1(1(1(2(2(2(z0)))))))))))))))))))))))) 0(0(0(2(2(0(2(1(1(0(0(2(2(1(2(0(1(0(1(0(1(1(0(0(z0)))))))))))))))))))))))) -> 0(0(1(0(2(0(0(1(2(2(2(2(2(1(0(1(2(1(2(0(1(1(1(1(1(z0))))))))))))))))))))))))) 0(1(0(0(2(2(0(1(0(1(2(1(2(2(2(1(0(1(2(1(0(1(1(1(2(0(2(1(z0)))))))))))))))))))))))))))) -> 0(0(2(0(0(2(2(0(0(1(1(2(1(1(1(2(0(0(1(1(2(0(2(0(2(2(1(2(2(z0))))))))))))))))))))))))))))) 0(0(2(0(2(1(1(2(0(2(1(1(2(0(1(0(1(2(1(1(1(0(0(0(0(2(2(1(2(0(z0)))))))))))))))))))))))))))))) -> 0(0(2(0(1(1(1(0(0(2(1(1(2(0(0(2(2(0(1(1(1(2(0(2(0(2(1(2(1(0(z0)))))))))))))))))))))))))))))) 0(1(0(1(0(2(1(1(0(1(2(0(0(1(2(2(0(2(0(2(1(2(1(2(2(0(2(2(1(2(z0)))))))))))))))))))))))))))))) -> 0(2(2(1(0(0(0(2(2(1(0(2(0(2(0(1(2(0(1(2(0(1(2(0(2(0(1(2(1(2(1(z0))))))))))))))))))))))))))))))) 0(1(0(0(2(1(0(1(1(1(1(1(0(1(0(1(0(2(2(0(2(2(1(2(2(2(1(0(0(2(2(z0))))))))))))))))))))))))))))))) -> 0(0(2(1(1(2(0(1(2(2(2(0(2(1(2(2(0(2(1(0(0(1(2(0(0(2(0(1(0(2(0(2(z0)))))))))))))))))))))))))))))))) 0(0(1(1(1(1(2(2(0(0(2(1(2(2(1(0(2(1(0(0(1(1(0(2(0(2(2(2(2(0(2(1(z0)))))))))))))))))))))))))))))))) -> 0(0(1(1(1(2(1(2(2(0(0(1(2(2(1(2(2(1(2(0(1(0(2(0(0(2(0(2(1(0(2(1(z0)))))))))))))))))))))))))))))))) 0(2(1(2(0(1(2(1(1(1(2(0(0(0(0(1(2(1(0(0(2(2(2(0(1(2(0(2(1(1(2(2(1(2(1(z0))))))))))))))))))))))))))))))))))) -> 0(2(1(2(0(2(0(1(0(1(0(0(1(2(0(2(2(1(0(2(1(2(0(0(1(2(1(2(2(2(1(2(1(1(1(z0))))))))))))))))))))))))))))))))))) 0(2(2(2(1(2(0(2(1(0(1(2(2(0(1(1(0(2(0(0(1(2(2(2(0(0(2(0(2(2(1(0(0(1(0(0(z0)))))))))))))))))))))))))))))))))))) -> 0(0(0(2(0(0(0(2(2(2(0(1(0(2(1(2(2(0(1(2(2(0(0(0(1(0(0(0(2(0(1(1(0(2(0(2(0(z0))))))))))))))))))))))))))))))))))))) 0(0(0(1(0(0(1(2(1(0(2(0(2(1(1(2(2(2(1(1(0(2(2(2(2(2(0(0(0(1(0(1(0(0(0(1(0(z0))))))))))))))))))))))))))))))))))))) -> 0(1(1(0(2(1(1(1(0(2(0(1(2(0(0(0(2(2(1(0(2(2(2(1(1(1(2(1(0(2(1(1(0(1(2(0(1(1(1(z0))))))))))))))))))))))))))))))))))))))) 0(1(1(1(0(1(0(0(2(1(0(0(1(0(0(0(0(1(1(2(1(1(1(0(0(0(1(2(0(2(2(2(2(0(2(0(0(z0))))))))))))))))))))))))))))))))))))) -> 0(0(2(0(1(2(0(0(1(2(0(2(1(1(0(2(1(2(2(2(2(2(0(0(1(0(1(1(2(0(0(1(1(1(1(1(2(0(z0)))))))))))))))))))))))))))))))))))))) 0(2(0(0(1(0(0(2(2(2(0(1(1(1(1(2(2(0(0(0(0(2(0(1(2(1(0(1(2(1(2(2(2(0(0(0(0(1(0(0(z0)))))))))))))))))))))))))))))))))))))))) -> 0(1(0(0(2(0(2(0(0(2(1(0(0(2(2(1(1(2(2(2(1(2(0(1(1(2(0(2(0(2(1(2(0(2(0(1(2(0(2(1(0(0(1(z0))))))))))))))))))))))))))))))))))))))))))) 0(2(1(1(1(0(2(1(1(0(0(2(1(0(2(1(1(0(2(2(1(0(2(0(1(0(2(1(0(1(1(2(2(1(0(1(2(2(0(0(z0)))))))))))))))))))))))))))))))))))))))) -> 0(2(1(2(2(2(2(1(1(1(1(1(2(0(0(2(0(2(0(0(2(1(1(1(0(2(0(2(2(2(1(1(1(0(0(0(1(2(2(0(2(0(z0)))))))))))))))))))))))))))))))))))))))))) 0(2(2(0(1(2(0(0(0(2(2(2(1(2(2(2(1(0(0(0(2(0(2(1(1(0(2(1(2(0(1(0(2(1(2(0(2(1(0(1(0(1(z0)))))))))))))))))))))))))))))))))))))))))) -> 0(1(1(1(2(0(0(0(0(1(1(2(0(2(0(2(0(0(0(2(2(0(0(0(0(2(2(0(1(1(0(0(1(2(1(2(0(1(2(0(0(2(0(0(0(z0))))))))))))))))))))))))))))))))))))))))))))) 0(2(2(2(0(1(1(2(1(1(2(2(1(1(1(2(2(1(1(1(1(0(2(1(1(0(0(2(0(1(2(2(1(1(0(0(0(1(1(0(0(0(z0)))))))))))))))))))))))))))))))))))))))))) -> 0(0(1(0(2(2(0(2(0(0(2(0(2(0(1(2(0(2(0(2(0(0(1(1(2(1(0(1(0(1(2(2(0(2(2(1(0(0(2(0(2(1(0(z0))))))))))))))))))))))))))))))))))))))))))) 0(2(1(2(0(2(1(1(2(2(0(2(1(2(2(0(0(0(1(1(1(0(2(2(2(2(2(2(2(2(2(1(1(1(2(1(0(1(1(0(0(0(2(0(0(z0))))))))))))))))))))))))))))))))))))))))))))) -> 0(2(2(0(2(2(2(0(0(2(2(1(0(1(0(0(2(2(1(1(0(2(2(0(2(2(2(0(1(2(0(0(2(0(2(0(2(1(1(2(2(1(2(1(1(0(z0)))))))))))))))))))))))))))))))))))))))))))))) 2(2(0(0(2(1(0(1(z0)))))))) -> 1(2(2(0(0(1(2(0(z0)))))))) 2(1(2(0(0(0(0(1(2(0(1(1(1(z0))))))))))))) -> 0(0(2(0(2(0(0(2(0(0(0(1(1(1(z0)))))))))))))) 2(1(1(1(0(0(1(2(1(0(0(2(1(0(1(1(0(1(1(0(z0)))))))))))))))))))) -> 1(0(2(1(0(2(0(2(2(0(0(2(0(0(0(2(0(1(1(1(2(0(z0)))))))))))))))))))))) 2(2(1(1(0(2(1(1(1(2(1(2(2(2(2(1(2(1(0(2(2(z0))))))))))))))))))))) -> 1(2(1(2(2(0(0(2(0(0(0(2(2(1(0(2(0(0(2(0(2(1(z0)))))))))))))))))))))) 2(1(2(2(0(2(2(0(0(2(1(1(2(2(1(2(2(0(1(0(1(1(z0)))))))))))))))))))))) -> 1(0(1(1(2(1(1(2(1(0(0(0(1(0(0(2(0(0(2(0(1(0(1(z0))))))))))))))))))))))) 2(2(0(0(0(1(0(2(1(0(1(0(0(0(1(0(2(2(2(1(0(0(0(z0))))))))))))))))))))))) -> 0(0(2(0(0(1(2(0(0(1(1(0(2(0(2(2(0(1(0(2(1(0(0(z0))))))))))))))))))))))) 2(1(0(0(1(1(0(2(2(0(1(0(0(1(2(0(2(1(2(0(1(0(0(0(z0)))))))))))))))))))))))) -> 2(1(1(0(1(2(0(0(2(0(2(0(2(1(0(1(2(0(1(0(2(1(1(2(0(0(z0)))))))))))))))))))))))))) 2(2(2(1(0(0(2(0(1(0(2(1(0(2(1(0(0(1(1(0(0(0(2(0(2(z0))))))))))))))))))))))))) -> 1(0(2(0(1(0(1(0(2(0(1(1(1(2(1(0(2(0(2(0(2(2(0(0(2(0(2(z0))))))))))))))))))))))))))) 2(1(1(1(0(1(0(0(1(0(1(1(0(1(0(2(0(0(0(1(1(1(2(2(0(1(2(2(z0)))))))))))))))))))))))))))) -> 2(0(0(1(2(1(1(2(0(2(0(1(1(1(1(2(0(1(2(1(2(2(2(2(2(2(0(2(2(z0))))))))))))))))))))))))))))) 2(1(1(0(0(0(1(1(2(2(1(2(1(2(1(2(2(0(1(0(0(0(1(2(0(0(1(1(2(z0))))))))))))))))))))))))))))) -> 0(2(1(2(2(0(1(0(1(2(0(0(1(1(1(0(1(1(1(1(2(0(2(2(0(2(1(0(2(z0))))))))))))))))))))))))))))) 2(2(0(1(2(1(2(1(0(2(1(1(0(0(1(0(1(2(1(1(0(1(0(2(1(1(2(0(0(0(z0)))))))))))))))))))))))))))))) -> 1(0(0(1(0(0(2(1(2(2(1(0(2(1(2(2(1(0(1(1(2(1(0(2(0(1(2(2(0(2(0(z0))))))))))))))))))))))))))))))) 2(1(0(1(2(2(0(1(0(0(0(2(1(1(0(1(2(1(1(0(0(2(2(0(1(1(1(2(1(1(1(1(2(1(z0)))))))))))))))))))))))))))))))))) -> 2(0(0(2(0(0(1(2(0(2(2(0(2(2(2(0(0(0(1(0(2(0(0(1(2(0(0(2(0(1(2(0(0(1(0(z0))))))))))))))))))))))))))))))))))) 2(1(1(1(2(2(0(2(0(0(0(0(1(1(2(0(2(2(0(0(2(2(2(0(0(2(1(0(2(1(0(2(1(2(z0)))))))))))))))))))))))))))))))))) -> 1(0(2(0(2(0(0(0(0(2(2(0(0(2(0(0(2(0(2(1(0(0(2(0(1(2(0(0(0(1(2(1(1(2(0(2(z0)))))))))))))))))))))))))))))))))))) 2(1(1(2(2(0(1(1(0(2(1(0(1(1(0(2(1(1(1(0(1(0(2(1(0(2(1(1(1(0(1(0(0(1(z0)))))))))))))))))))))))))))))))))) -> 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2(0(2(2(1(2(1(2(2(2(0(1(0(2(2(1(0(0(0(1(2(0(1(2(1(0(0(2(2(0(2(1(1(1(0(0(1(z0))))))))))))))))))))))))))))))))))))) -> 1(2(2(0(0(0(1(1(0(2(0(2(0(0(2(0(1(1(2(0(2(0(1(2(1(2(1(2(1(0(2(2(2(1(0(1(0(1(0(z0))))))))))))))))))))))))))))))))))))))) 2(1(2(1(2(1(2(1(0(1(0(2(2(0(0(1(2(2(1(2(1(0(1(0(2(1(2(2(2(1(1(1(2(0(1(1(0(z0))))))))))))))))))))))))))))))))))))) -> 1(0(1(2(1(2(1(2(2(2(1(0(2(1(0(0(2(0(0(0(2(0(1(0(1(1(2(2(0(1(1(0(2(0(0(2(0(1(0(1(z0)))))))))))))))))))))))))))))))))))))))) 2(2(1(2(1(1(0(0(0(0(1(2(1(1(1(0(0(1(1(0(0(2(0(1(1(1(0(2(2(1(2(0(0(1(0(0(1(z0))))))))))))))))))))))))))))))))))))) -> 2(0(1(2(0(2(0(1(1(0(0(1(0(1(0(2(0(1(0(2(2(2(1(2(1(0(2(0(2(0(0(2(0(1(1(1(2(0(0(2(1(0(z0)))))))))))))))))))))))))))))))))))))))))) 2(1(2(1(2(1(1(0(2(0(2(1(2(2(2(1(1(2(0(0(1(0(1(1(2(1(1(2(0(1(2(2(1(1(0(0(1(1(z0)))))))))))))))))))))))))))))))))))))) -> 2(1(0(2(2(1(0(0(0(2(2(2(1(2(0(1(0(0(1(0(0(0(2(1(1(0(0(2(0(1(2(0(2(2(1(0(2(0(0(z0))))))))))))))))))))))))))))))))))))))) 2(1(0(0(1(0(0(1(2(2(0(2(2(1(0(0(0(2(2(1(1(2(0(1(2(0(0(1(2(0(2(1(0(2(2(0(1(1(1(z0))))))))))))))))))))))))))))))))))))))) -> 2(1(2(0(0(1(2(0(1(2(0(0(0(2(2(0(2(0(1(0(0(0(2(0(0(2(2(0(2(2(2(0(0(2(0(1(0(2(0(1(0(z0))))))))))))))))))))))))))))))))))))))))) 2(2(2(0(0(2(0(2(1(2(1(2(1(0(1(1(2(1(1(2(0(1(0(1(0(0(1(1(2(1(1(2(2(1(1(1(1(0(1(z0))))))))))))))))))))))))))))))))))))))) -> 1(0(2(1(1(2(1(1(2(0(0(2(2(0(2(0(1(2(1(0(2(0(1(2(1(2(2(2(2(0(2(2(2(1(0(2(0(0(1(1(z0)))))))))))))))))))))))))))))))))))))))) 2(2(2(0(2(1(2(1(0(0(0(0(1(2(2(1(0(2(2(1(1(0(0(0(2(0(0(0(1(0(2(1(2(2(1(1(0(2(1(z0))))))))))))))))))))))))))))))))))))))) -> 1(2(0(1(1(2(0(2(2(0(2(1(0(2(0(2(0(1(1(0(1(2(2(1(0(1(0(0(0(2(0(2(2(1(0(0(0(1(0(1(z0)))))))))))))))))))))))))))))))))))))))) 2(1(0(0(1(0(2(2(1(1(1(0(1(2(0(1(0(2(1(0(0(2(2(1(1(1(2(2(0(0(0(0(1(1(2(1(0(1(2(2(z0)))))))))))))))))))))))))))))))))))))))) -> 2(2(0(0(1(2(0(2(1(2(1(1(1(2(2(1(0(0(1(0(0(2(0(1(2(1(2(1(0(2(0(2(0(1(1(1(0(1(1(0(z0)))))))))))))))))))))))))))))))))))))))) 2(1(2(0(1(0(0(1(1(0(2(1(1(0(1(2(1(1(2(1(0(2(2(2(1(1(1(0(1(0(2(0(1(2(1(1(0(2(2(0(z0)))))))))))))))))))))))))))))))))))))))) -> 2(0(0(2(0(0(1(2(2(2(2(2(1(2(0(2(0(1(2(1(0(0(1(1(0(1(1(1(2(0(2(0(2(1(0(1(2(0(1(2(0(1(z0)))))))))))))))))))))))))))))))))))))))))) 2(1(1(2(0(2(0(2(0(1(1(0(2(2(2(2(1(1(1(0(0(0(1(1(0(0(0(1(2(0(0(0(0(1(0(1(2(1(2(2(0(1(z0)))))))))))))))))))))))))))))))))))))))))) -> 2(2(2(0(0(1(2(0(0(2(0(1(1(0(2(0(1(2(0(1(0(0(2(0(2(1(1(0(2(1(0(0(2(2(1(2(2(2(0(1(1(2(0(2(0(z0))))))))))))))))))))))))))))))))))))))))))))) 2(1(2(0(0(2(1(0(1(2(1(2(0(0(0(0(1(1(1(0(2(0(1(0(2(1(2(1(2(0(2(1(1(1(1(0(1(0(0(1(1(0(z0)))))))))))))))))))))))))))))))))))))))))) -> 2(2(1(1(1(1(2(2(0(2(1(1(1(2(2(1(0(1(0(1(2(0(2(2(2(1(1(2(0(1(2(0(1(0(0(2(1(0(2(0(1(0(1(z0))))))))))))))))))))))))))))))))))))))))))) 2(2(0(2(2(1(2(0(2(2(2(1(1(0(2(1(1(1(2(2(0(1(0(1(0(1(0(0(1(2(0(0(2(2(0(0(2(1(1(1(1(2(z0)))))))))))))))))))))))))))))))))))))))))) -> 0(1(2(2(0(2(0(0(0(2(0(2(1(2(0(0(1(0(2(0(0(2(0(1(1(2(1(1(0(2(1(2(1(2(0(0(0(1(2(0(0(1(0(z0))))))))))))))))))))))))))))))))))))))))))) 2(2(2(2(0(2(2(2(2(0(1(2(1(1(0(2(1(1(2(1(0(1(0(1(0(0(0(0(2(0(0(1(2(1(2(1(1(0(0(1(2(0(1(z0))))))))))))))))))))))))))))))))))))))))))) -> 2(0(1(2(1(2(0(2(0(1(2(0(1(1(0(2(2(0(0(1(1(2(2(1(1(1(2(1(2(2(0(2(2(1(0(1(1(1(1(1(0(1(2(0(z0)))))))))))))))))))))))))))))))))))))))))))) 2(2(1(0(0(2(1(2(0(0(0(2(1(0(2(0(2(1(2(2(2(0(1(2(2(0(0(0(1(0(2(2(2(1(0(1(2(1(0(0(2(0(1(0(1(z0))))))))))))))))))))))))))))))))))))))))))))) -> 2(1(1(2(1(1(1(0(2(0(1(1(1(2(0(0(2(2(1(2(2(2(2(0(2(0(1(1(0(1(2(2(2(1(1(2(1(1(1(0(0(0(2(0(1(0(z0)))))))))))))))))))))))))))))))))))))))))))))) 2(0(1(1(2(0(0(1(1(1(0(0(0(2(0(0(1(0(0(1(0(0(0(2(1(2(1(0(1(1(1(1(0(0(1(1(0(2(0(2(2(1(0(2(1(1(0(z0))))))))))))))))))))))))))))))))))))))))))))))) -> 2(0(2(0(2(0(2(0(2(0(2(1(2(1(0(0(1(0(0(2(1(2(0(2(0(0(2(1(2(2(1(1(2(2(2(1(2(1(0(0(2(0(0(2(2(2(1(0(2(0(z0)))))))))))))))))))))))))))))))))))))))))))))))))) 2(1(2(0(2(2(0(2(0(0(1(0(1(0(0(1(0(2(2(1(0(2(1(1(0(2(1(1(0(1(2(2(0(0(0(1(2(1(2(0(1(1(1(2(1(1(0(z0))))))))))))))))))))))))))))))))))))))))))))))) -> 0(2(2(0(1(2(1(0(2(0(2(0(0(1(2(2(1(1(2(2(2(0(1(2(0(0(2(2(0(0(0(1(2(2(1(2(2(1(0(2(1(1(1(1(0(1(0(2(0(z0))))))))))))))))))))))))))))))))))))))))))))))))) 2(1(2(2(2(1(1(1(1(1(1(0(1(0(0(2(2(2(0(1(1(1(0(2(1(1(2(1(2(0(0(0(0(2(1(1(0(2(1(1(0(0(0(1(0(0(1(z0))))))))))))))))))))))))))))))))))))))))))))))) -> 0(2(2(2(1(2(1(2(0(1(1(1(1(1(2(2(0(0(0(2(2(2(1(1(0(1(1(0(1(1(1(2(0(0(2(0(1(1(2(2(2(1(0(2(2(2(2(2(0(z0))))))))))))))))))))))))))))))))))))))))))))))))) 1(2(1(0(0(1(2(1(1(z0))))))))) -> 1(0(2(0(1(1(2(1(1(z0))))))))) 1(0(2(1(0(0(1(0(1(2(z0)))))))))) -> 1(2(0(0(1(1(0(0(1(2(z0)))))))))) 1(1(0(1(2(2(2(2(0(2(1(1(z0)))))))))))) -> 1(1(0(1(2(2(0(2(0(1(2(2(2(z0))))))))))))) 1(2(0(1(0(0(0(1(2(2(1(1(2(0(1(0(1(1(0(z0))))))))))))))))))) -> 2(0(2(1(0(2(2(2(0(0(0(2(2(2(2(0(2(0(2(0(z0)))))))))))))))))))) 1(0(1(0(2(2(2(2(0(1(1(0(1(2(2(0(2(1(0(1(1(z0))))))))))))))))))))) -> 2(0(0(0(2(2(1(2(0(2(0(1(0(0(2(0(2(0(0(2(1(0(z0)))))))))))))))))))))) 1(1(0(1(1(1(1(0(1(0(0(2(1(1(2(0(0(1(1(0(2(0(0(0(z0)))))))))))))))))))))))) -> 2(0(0(2(1(0(2(2(2(0(0(2(2(2(2(0(0(0(2(0(1(2(0(0(0(z0))))))))))))))))))))))))) 1(0(0(1(2(0(0(0(1(1(1(1(2(2(2(2(2(1(1(2(1(0(1(0(1(0(z0)))))))))))))))))))))))))) -> 1(0(1(0(2(2(0(2(0(1(1(2(2(1(2(2(2(2(0(0(1(1(0(1(0(2(0(z0))))))))))))))))))))))))))) 1(2(1(0(0(1(1(0(1(0(2(1(2(0(2(0(1(1(2(1(2(0(1(1(0(0(0(1(z0)))))))))))))))))))))))))))) -> 1(1(1(1(2(0(2(0(0(1(2(0(0(0(0(2(2(1(0(0(2(0(1(2(0(1(2(0(0(z0))))))))))))))))))))))))))))) 1(2(0(0(0(2(0(1(1(2(2(0(0(2(2(0(2(1(1(1(2(1(1(1(0(1(2(1(2(1(z0)))))))))))))))))))))))))))))) -> 1(0(2(0(1(1(2(0(2(1(0(0(1(2(2(0(1(1(2(0(2(2(1(2(2(2(2(1(1(1(2(z0))))))))))))))))))))))))))))))) 1(2(1(1(1(2(1(0(2(2(0(1(2(0(0(1(0(0(2(1(2(1(2(1(0(1(0(2(1(0(z0)))))))))))))))))))))))))))))) -> 1(0(1(0(0(0(2(0(1(1(1(2(2(2(2(1(0(2(0(2(2(1(1(0(1(2(2(1(1(1(0(z0))))))))))))))))))))))))))))))) 1(2(2(2(1(0(0(2(0(0(1(1(1(2(1(1(1(2(2(1(2(0(2(1(0(1(2(1(1(1(2(2(z0)))))))))))))))))))))))))))))))) -> 1(1(1(2(1(0(2(1(0(2(1(1(2(2(1(2(1(1(1(2(1(0(2(0(0(2(0(2(2(1(1(2(z0)))))))))))))))))))))))))))))))) 1(2(2(0(2(1(2(0(2(2(1(1(1(2(1(2(1(2(2(2(2(2(0(0(0(0(1(0(0(0(1(1(2(0(z0)))))))))))))))))))))))))))))))))) -> 1(1(2(1(1(1(0(1(2(0(0(1(2(2(0(2(0(0(2(0(1(0(2(0(0(1(0(0(0(2(0(2(1(2(2(0(1(z0))))))))))))))))))))))))))))))))))))) 1(1(1(0(1(2(2(2(2(0(1(0(2(2(0(0(0(1(2(0(0(0(2(2(1(0(0(0(0(1(1(0(0(0(1(z0))))))))))))))))))))))))))))))))))) -> 1(1(1(1(2(0(1(1(1(0(1(0(2(0(0(1(1(2(1(0(2(2(0(0(0(0(1(2(0(1(0(0(2(0(1(2(0(z0))))))))))))))))))))))))))))))))))))) 1(1(2(1(1(0(2(0(2(0(0(0(1(0(1(1(1(1(2(2(1(1(0(2(2(2(0(2(1(0(1(2(0(0(0(z0))))))))))))))))))))))))))))))))))) -> 1(0(2(0(1(0(2(0(1(1(0(0(0(1(2(0(1(1(1(0(2(0(2(0(0(2(0(2(2(1(2(0(2(2(0(1(0(z0))))))))))))))))))))))))))))))))))))) 1(0(1(2(0(1(0(2(2(1(2(2(0(0(0(2(1(1(2(0(2(1(1(1(0(1(0(0(0(2(1(1(2(1(0(0(z0)))))))))))))))))))))))))))))))))))) -> 1(1(2(1(0(2(1(1(2(0(2(1(1(1(2(2(0(2(1(2(2(1(1(1(0(1(0(2(0(0(0(2(0(2(0(0(1(z0))))))))))))))))))))))))))))))))))))) 1(1(2(1(0(2(2(1(2(2(2(0(1(1(0(0(2(1(0(1(2(2(2(1(1(1(2(0(0(0(1(1(0(1(1(1(2(0(z0)))))))))))))))))))))))))))))))))))))) -> 2(0(0(2(0(2(1(0(0(1(0(0(0(1(1(1(0(2(1(0(1(2(0(0(1(1(2(2(1(0(0(2(0(0(1(2(1(0(1(z0))))))))))))))))))))))))))))))))))))))) 1(2(2(0(1(2(2(2(0(1(1(1(2(1(1(0(0(1(2(1(2(2(2(1(0(0(0(0(1(1(2(1(0(0(1(0(2(1(1(z0))))))))))))))))))))))))))))))))))))))) -> 1(2(2(1(2(1(1(1(1(1(2(2(1(1(1(0(2(2(2(0(2(0(0(2(2(0(0(0(2(0(2(0(2(2(2(1(0(2(0(2(2(z0))))))))))))))))))))))))))))))))))))))))) 1(1(1(2(0(1(0(1(0(1(1(1(2(1(1(2(1(2(2(1(1(2(1(1(2(1(2(0(0(2(2(2(1(2(0(0(0(0(1(1(0(0(z0)))))))))))))))))))))))))))))))))))))))))) -> 1(2(1(0(1(2(0(1(0(2(0(2(2(2(0(1(1(1(1(2(1(0(2(2(1(0(2(2(1(1(0(2(1(2(0(2(0(2(1(0(0(0(0(z0))))))))))))))))))))))))))))))))))))))))))) 1(2(1(2(1(0(2(2(2(1(2(0(0(2(2(0(1(2(1(1(2(1(0(1(2(2(1(2(0(1(2(2(1(2(2(1(1(2(1(0(1(1(1(z0))))))))))))))))))))))))))))))))))))))))))) -> 1(0(0(2(1(0(1(2(2(1(0(1(2(1(0(1(0(1(2(0(2(2(1(0(2(1(2(2(2(0(0(1(2(0(2(0(0(1(1(0(2(1(2(0(1(z0))))))))))))))))))))))))))))))))))))))))))))) 1(2(1(1(0(2(2(0(1(2(2(0(2(0(0(1(1(0(1(2(2(2(0(2(2(0(0(0(0(1(1(0(1(0(0(0(1(2(1(2(2(2(0(0(z0)))))))))))))))))))))))))))))))))))))))))))) -> 1(1(2(1(0(2(0(2(2(2(1(1(1(1(0(2(1(1(2(1(0(0(2(1(0(0(2(0(2(1(2(2(1(0(1(1(2(0(1(0(2(2(2(0(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'(0(1(1(0(0(0(1(z0)))))))) -> c6(0'(2(0(1(0(1(1(1(1(z0))))))))), 2'(0(1(0(1(1(1(1(z0)))))))), 0'(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)) 0'(1(2(1(1(1(0(2(0(2(z0)))))))))) -> c7(0'(2(0(2(0(2(0(2(0(1(2(z0))))))))))), 2'(0(2(0(2(0(2(0(1(2(z0)))))))))), 0'(2(0(2(0(2(0(1(2(z0))))))))), 2'(0(2(0(2(0(1(2(z0)))))))), 0'(2(0(2(0(1(2(z0))))))), 2'(0(2(0(1(2(z0)))))), 0'(2(0(1(2(z0))))), 2'(0(1(2(z0)))), 0'(1(2(z0))), 1'(2(z0)), 2'(z0)) 0'(1(0(1(2(0(0(1(0(0(1(2(1(0(1(0(z0)))))))))))))))) -> c8(0'(1(1(1(1(2(0(2(1(0(0(0(1(0(0(0(z0)))))))))))))))), 1'(1(1(1(2(0(2(1(0(0(0(1(0(0(0(z0))))))))))))))), 1'(1(1(2(0(2(1(0(0(0(1(0(0(0(z0)))))))))))))), 1'(1(2(0(2(1(0(0(0(1(0(0(0(z0))))))))))))), 1'(2(0(2(1(0(0(0(1(0(0(0(z0)))))))))))), 2'(0(2(1(0(0(0(1(0(0(0(z0))))))))))), 0'(2(1(0(0(0(1(0(0(0(z0)))))))))), 2'(1(0(0(0(1(0(0(0(z0))))))))), 1'(0(0(0(1(0(0(0(z0)))))))), 0'(0(0(1(0(0(0(z0))))))), 0'(0(1(0(0(0(z0)))))), 0'(1(0(0(0(z0))))), 1'(0(0(0(z0)))), 0'(0(0(z0))), 0'(0(z0)), 0'(z0)) 0'(1(0(1(1(0(1(2(2(1(1(1(0(2(1(1(1(z0))))))))))))))))) -> c9(0'(2(1(1(0(2(2(0(2(2(0(0(2(0(1(2(1(2(z0)))))))))))))))))), 2'(1(1(0(2(2(0(2(2(0(0(2(0(1(2(1(2(z0))))))))))))))))), 1'(1(0(2(2(0(2(2(0(0(2(0(1(2(1(2(z0)))))))))))))))), 1'(0(2(2(0(2(2(0(0(2(0(1(2(1(2(z0))))))))))))))), 0'(2(2(0(2(2(0(0(2(0(1(2(1(2(z0)))))))))))))), 2'(2(0(2(2(0(0(2(0(1(2(1(2(z0))))))))))))), 2'(0(2(2(0(0(2(0(1(2(1(2(z0)))))))))))), 0'(2(2(0(0(2(0(1(2(1(2(z0))))))))))), 2'(2(0(0(2(0(1(2(1(2(z0)))))))))), 2'(0(0(2(0(1(2(1(2(z0))))))))), 0'(0(2(0(1(2(1(2(z0)))))))), 0'(2(0(1(2(1(2(z0))))))), 2'(0(1(2(1(2(z0)))))), 0'(1(2(1(2(z0))))), 1'(2(1(2(z0)))), 2'(1(2(z0))), 1'(2(z0)), 2'(z0)) 0'(1(2(0(1(1(1(1(2(2(0(2(2(1(0(0(0(1(0(2(1(1(1(z0))))))))))))))))))))))) -> c10(0'(1(0(0(2(0(1(1(2(2(0(0(1(0(2(0(1(1(1(1(1(2(2(2(z0)))))))))))))))))))))))), 1'(0(0(2(0(1(1(2(2(0(0(1(0(2(0(1(1(1(1(1(2(2(2(z0))))))))))))))))))))))), 0'(0(2(0(1(1(2(2(0(0(1(0(2(0(1(1(1(1(1(2(2(2(z0)))))))))))))))))))))), 0'(2(0(1(1(2(2(0(0(1(0(2(0(1(1(1(1(1(2(2(2(z0))))))))))))))))))))), 2'(0(1(1(2(2(0(0(1(0(2(0(1(1(1(1(1(2(2(2(z0)))))))))))))))))))), 0'(1(1(2(2(0(0(1(0(2(0(1(1(1(1(1(2(2(2(z0))))))))))))))))))), 1'(1(2(2(0(0(1(0(2(0(1(1(1(1(1(2(2(2(z0)))))))))))))))))), 1'(2(2(0(0(1(0(2(0(1(1(1(1(1(2(2(2(z0))))))))))))))))), 2'(2(0(0(1(0(2(0(1(1(1(1(1(2(2(2(z0)))))))))))))))), 2'(0(0(1(0(2(0(1(1(1(1(1(2(2(2(z0))))))))))))))), 0'(0(1(0(2(0(1(1(1(1(1(2(2(2(z0)))))))))))))), 0'(1(0(2(0(1(1(1(1(1(2(2(2(z0))))))))))))), 1'(0(2(0(1(1(1(1(1(2(2(2(z0)))))))))))), 0'(2(0(1(1(1(1(1(2(2(2(z0))))))))))), 2'(0(1(1(1(1(1(2(2(2(z0)))))))))), 0'(1(1(1(1(1(2(2(2(z0))))))))), 1'(1(1(1(1(2(2(2(z0)))))))), 1'(1(1(1(2(2(2(z0))))))), 1'(1(1(2(2(2(z0)))))), 1'(1(2(2(2(z0))))), 1'(2(2(2(z0)))), 2'(2(2(z0))), 2'(2(z0)), 2'(z0)) 0'(0(0(2(2(0(2(1(1(0(0(2(2(1(2(0(1(0(1(0(1(1(0(0(z0)))))))))))))))))))))))) -> c11(0'(0(1(0(2(0(0(1(2(2(2(2(2(1(0(1(2(1(2(0(1(1(1(1(1(z0))))))))))))))))))))))))), 0'(1(0(2(0(0(1(2(2(2(2(2(1(0(1(2(1(2(0(1(1(1(1(1(z0)))))))))))))))))))))))), 1'(0(2(0(0(1(2(2(2(2(2(1(0(1(2(1(2(0(1(1(1(1(1(z0))))))))))))))))))))))), 0'(2(0(0(1(2(2(2(2(2(1(0(1(2(1(2(0(1(1(1(1(1(z0)))))))))))))))))))))), 2'(0(0(1(2(2(2(2(2(1(0(1(2(1(2(0(1(1(1(1(1(z0))))))))))))))))))))), 0'(0(1(2(2(2(2(2(1(0(1(2(1(2(0(1(1(1(1(1(z0)))))))))))))))))))), 0'(1(2(2(2(2(2(1(0(1(2(1(2(0(1(1(1(1(1(z0))))))))))))))))))), 1'(2(2(2(2(2(1(0(1(2(1(2(0(1(1(1(1(1(z0)))))))))))))))))), 2'(2(2(2(2(1(0(1(2(1(2(0(1(1(1(1(1(z0))))))))))))))))), 2'(2(2(2(1(0(1(2(1(2(0(1(1(1(1(1(z0)))))))))))))))), 2'(2(2(1(0(1(2(1(2(0(1(1(1(1(1(z0))))))))))))))), 2'(2(1(0(1(2(1(2(0(1(1(1(1(1(z0)))))))))))))), 2'(1(0(1(2(1(2(0(1(1(1(1(1(z0))))))))))))), 1'(0(1(2(1(2(0(1(1(1(1(1(z0)))))))))))), 0'(1(2(1(2(0(1(1(1(1(1(z0))))))))))), 1'(2(1(2(0(1(1(1(1(1(z0)))))))))), 2'(1(2(0(1(1(1(1(1(z0))))))))), 1'(2(0(1(1(1(1(1(z0)))))))), 2'(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)) 0'(1(0(0(2(2(0(1(0(1(2(1(2(2(2(1(0(1(2(1(0(1(1(1(2(0(2(1(z0)))))))))))))))))))))))))))) -> c12(0'(0(2(0(0(2(2(0(0(1(1(2(1(1(1(2(0(0(1(1(2(0(2(0(2(2(1(2(2(z0))))))))))))))))))))))))))))), 0'(2(0(0(2(2(0(0(1(1(2(1(1(1(2(0(0(1(1(2(0(2(0(2(2(1(2(2(z0)))))))))))))))))))))))))))), 2'(0(0(2(2(0(0(1(1(2(1(1(1(2(0(0(1(1(2(0(2(0(2(2(1(2(2(z0))))))))))))))))))))))))))), 0'(0(2(2(0(0(1(1(2(1(1(1(2(0(0(1(1(2(0(2(0(2(2(1(2(2(z0)))))))))))))))))))))))))), 0'(2(2(0(0(1(1(2(1(1(1(2(0(0(1(1(2(0(2(0(2(2(1(2(2(z0))))))))))))))))))))))))), 2'(2(0(0(1(1(2(1(1(1(2(0(0(1(1(2(0(2(0(2(2(1(2(2(z0)))))))))))))))))))))))), 2'(0(0(1(1(2(1(1(1(2(0(0(1(1(2(0(2(0(2(2(1(2(2(z0))))))))))))))))))))))), 0'(0(1(1(2(1(1(1(2(0(0(1(1(2(0(2(0(2(2(1(2(2(z0)))))))))))))))))))))), 0'(1(1(2(1(1(1(2(0(0(1(1(2(0(2(0(2(2(1(2(2(z0))))))))))))))))))))), 1'(1(2(1(1(1(2(0(0(1(1(2(0(2(0(2(2(1(2(2(z0)))))))))))))))))))), 1'(2(1(1(1(2(0(0(1(1(2(0(2(0(2(2(1(2(2(z0))))))))))))))))))), 2'(1(1(1(2(0(0(1(1(2(0(2(0(2(2(1(2(2(z0)))))))))))))))))), 1'(1(1(2(0(0(1(1(2(0(2(0(2(2(1(2(2(z0))))))))))))))))), 1'(1(2(0(0(1(1(2(0(2(0(2(2(1(2(2(z0)))))))))))))))), 1'(2(0(0(1(1(2(0(2(0(2(2(1(2(2(z0))))))))))))))), 2'(0(0(1(1(2(0(2(0(2(2(1(2(2(z0)))))))))))))), 0'(0(1(1(2(0(2(0(2(2(1(2(2(z0))))))))))))), 0'(1(1(2(0(2(0(2(2(1(2(2(z0)))))))))))), 1'(1(2(0(2(0(2(2(1(2(2(z0))))))))))), 1'(2(0(2(0(2(2(1(2(2(z0)))))))))), 2'(0(2(0(2(2(1(2(2(z0))))))))), 0'(2(0(2(2(1(2(2(z0)))))))), 2'(0(2(2(1(2(2(z0))))))), 0'(2(2(1(2(2(z0)))))), 2'(2(1(2(2(z0))))), 2'(1(2(2(z0)))), 1'(2(2(z0))), 2'(2(z0)), 2'(z0)) 0'(0(2(0(2(1(1(2(0(2(1(1(2(0(1(0(1(2(1(1(1(0(0(0(0(2(2(1(2(0(z0)))))))))))))))))))))))))))))) -> c13(0'(0(2(0(1(1(1(0(0(2(1(1(2(0(0(2(2(0(1(1(1(2(0(2(0(2(1(2(1(0(z0)))))))))))))))))))))))))))))), 0'(2(0(1(1(1(0(0(2(1(1(2(0(0(2(2(0(1(1(1(2(0(2(0(2(1(2(1(0(z0))))))))))))))))))))))))))))), 2'(0(1(1(1(0(0(2(1(1(2(0(0(2(2(0(1(1(1(2(0(2(0(2(1(2(1(0(z0)))))))))))))))))))))))))))), 0'(1(1(1(0(0(2(1(1(2(0(0(2(2(0(1(1(1(2(0(2(0(2(1(2(1(0(z0))))))))))))))))))))))))))), 1'(1(1(0(0(2(1(1(2(0(0(2(2(0(1(1(1(2(0(2(0(2(1(2(1(0(z0)))))))))))))))))))))))))), 1'(1(0(0(2(1(1(2(0(0(2(2(0(1(1(1(2(0(2(0(2(1(2(1(0(z0))))))))))))))))))))))))), 1'(0(0(2(1(1(2(0(0(2(2(0(1(1(1(2(0(2(0(2(1(2(1(0(z0)))))))))))))))))))))))), 0'(0(2(1(1(2(0(0(2(2(0(1(1(1(2(0(2(0(2(1(2(1(0(z0))))))))))))))))))))))), 0'(2(1(1(2(0(0(2(2(0(1(1(1(2(0(2(0(2(1(2(1(0(z0)))))))))))))))))))))), 2'(1(1(2(0(0(2(2(0(1(1(1(2(0(2(0(2(1(2(1(0(z0))))))))))))))))))))), 1'(1(2(0(0(2(2(0(1(1(1(2(0(2(0(2(1(2(1(0(z0)))))))))))))))))))), 1'(2(0(0(2(2(0(1(1(1(2(0(2(0(2(1(2(1(0(z0))))))))))))))))))), 2'(0(0(2(2(0(1(1(1(2(0(2(0(2(1(2(1(0(z0)))))))))))))))))), 0'(0(2(2(0(1(1(1(2(0(2(0(2(1(2(1(0(z0))))))))))))))))), 0'(2(2(0(1(1(1(2(0(2(0(2(1(2(1(0(z0)))))))))))))))), 2'(2(0(1(1(1(2(0(2(0(2(1(2(1(0(z0))))))))))))))), 2'(0(1(1(1(2(0(2(0(2(1(2(1(0(z0)))))))))))))), 0'(1(1(1(2(0(2(0(2(1(2(1(0(z0))))))))))))), 1'(1(1(2(0(2(0(2(1(2(1(0(z0)))))))))))), 1'(1(2(0(2(0(2(1(2(1(0(z0))))))))))), 1'(2(0(2(0(2(1(2(1(0(z0)))))))))), 2'(0(2(0(2(1(2(1(0(z0))))))))), 0'(2(0(2(1(2(1(0(z0)))))))), 2'(0(2(1(2(1(0(z0))))))), 0'(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'(1(0(1(0(2(1(1(0(1(2(0(0(1(2(2(0(2(0(2(1(2(1(2(2(0(2(2(1(2(z0)))))))))))))))))))))))))))))) -> c14(0'(2(2(1(0(0(0(2(2(1(0(2(0(2(0(1(2(0(1(2(0(1(2(0(2(0(1(2(1(2(1(z0))))))))))))))))))))))))))))))), 2'(2(1(0(0(0(2(2(1(0(2(0(2(0(1(2(0(1(2(0(1(2(0(2(0(1(2(1(2(1(z0)))))))))))))))))))))))))))))), 2'(1(0(0(0(2(2(1(0(2(0(2(0(1(2(0(1(2(0(1(2(0(2(0(1(2(1(2(1(z0))))))))))))))))))))))))))))), 1'(0(0(0(2(2(1(0(2(0(2(0(1(2(0(1(2(0(1(2(0(2(0(1(2(1(2(1(z0)))))))))))))))))))))))))))), 0'(0(0(2(2(1(0(2(0(2(0(1(2(0(1(2(0(1(2(0(2(0(1(2(1(2(1(z0))))))))))))))))))))))))))), 0'(0(2(2(1(0(2(0(2(0(1(2(0(1(2(0(1(2(0(2(0(1(2(1(2(1(z0)))))))))))))))))))))))))), 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2'(0(1(2(1(2(1(z0))))))), 0'(1(2(1(2(1(z0)))))), 1'(2(1(2(1(z0))))), 2'(1(2(1(z0)))), 1'(2(1(z0))), 2'(1(z0)), 1'(z0)) 0'(1(0(0(2(1(0(1(1(1(1(1(0(1(0(1(0(2(2(0(2(2(1(2(2(2(1(0(0(2(2(z0))))))))))))))))))))))))))))))) -> c15(0'(0(2(1(1(2(0(1(2(2(2(0(2(1(2(2(0(2(1(0(0(1(2(0(0(2(0(1(0(2(0(2(z0)))))))))))))))))))))))))))))))), 0'(2(1(1(2(0(1(2(2(2(0(2(1(2(2(0(2(1(0(0(1(2(0(0(2(0(1(0(2(0(2(z0))))))))))))))))))))))))))))))), 2'(1(1(2(0(1(2(2(2(0(2(1(2(2(0(2(1(0(0(1(2(0(0(2(0(1(0(2(0(2(z0)))))))))))))))))))))))))))))), 1'(1(2(0(1(2(2(2(0(2(1(2(2(0(2(1(0(0(1(2(0(0(2(0(1(0(2(0(2(z0))))))))))))))))))))))))))))), 1'(2(0(1(2(2(2(0(2(1(2(2(0(2(1(0(0(1(2(0(0(2(0(1(0(2(0(2(z0)))))))))))))))))))))))))))), 2'(0(1(2(2(2(0(2(1(2(2(0(2(1(0(0(1(2(0(0(2(0(1(0(2(0(2(z0))))))))))))))))))))))))))), 0'(1(2(2(2(0(2(1(2(2(0(2(1(0(0(1(2(0(0(2(0(1(0(2(0(2(z0)))))))))))))))))))))))))), 1'(2(2(2(0(2(1(2(2(0(2(1(0(0(1(2(0(0(2(0(1(0(2(0(2(z0))))))))))))))))))))))))), 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2'(2(1(1(0(2(1(1(1(2(1(2(2(2(2(1(2(1(0(2(2(z0))))))))))))))))))))) -> c29(1'(2(1(2(2(0(0(2(0(0(0(2(2(1(0(2(0(0(2(0(2(1(z0)))))))))))))))))))))), 2'(1(2(2(0(0(2(0(0(0(2(2(1(0(2(0(0(2(0(2(1(z0))))))))))))))))))))), 1'(2(2(0(0(2(0(0(0(2(2(1(0(2(0(0(2(0(2(1(z0)))))))))))))))))))), 2'(2(0(0(2(0(0(0(2(2(1(0(2(0(0(2(0(2(1(z0))))))))))))))))))), 2'(0(0(2(0(0(0(2(2(1(0(2(0(0(2(0(2(1(z0)))))))))))))))))), 0'(0(2(0(0(0(2(2(1(0(2(0(0(2(0(2(1(z0))))))))))))))))), 0'(2(0(0(0(2(2(1(0(2(0(0(2(0(2(1(z0)))))))))))))))), 2'(0(0(0(2(2(1(0(2(0(0(2(0(2(1(z0))))))))))))))), 0'(0(0(2(2(1(0(2(0(0(2(0(2(1(z0)))))))))))))), 0'(0(2(2(1(0(2(0(0(2(0(2(1(z0))))))))))))), 0'(2(2(1(0(2(0(0(2(0(2(1(z0)))))))))))), 2'(2(1(0(2(0(0(2(0(2(1(z0))))))))))), 2'(1(0(2(0(0(2(0(2(1(z0)))))))))), 1'(0(2(0(0(2(0(2(1(z0))))))))), 0'(2(0(0(2(0(2(1(z0)))))))), 2'(0(0(2(0(2(1(z0))))))), 0'(0(2(0(2(1(z0)))))), 0'(2(0(2(1(z0))))), 2'(0(2(1(z0)))), 0'(2(1(z0))), 2'(1(z0)), 1'(z0)) 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1'(1(1(1(0(2(1(1(2(1(0(0(2(1(0(0(2(0(2(1(2(2(1(0(1(1(2(0(1(0(2(2(2(0(0(z0))))))))))))))))))))))))))))))))))), 1'(1(1(0(2(1(1(2(1(0(0(2(1(0(0(2(0(2(1(2(2(1(0(1(1(2(0(1(0(2(2(2(0(0(z0)))))))))))))))))))))))))))))))))), 1'(1(0(2(1(1(2(1(0(0(2(1(0(0(2(0(2(1(2(2(1(0(1(1(2(0(1(0(2(2(2(0(0(z0))))))))))))))))))))))))))))))))), 1'(0(2(1(1(2(1(0(0(2(1(0(0(2(0(2(1(2(2(1(0(1(1(2(0(1(0(2(2(2(0(0(z0)))))))))))))))))))))))))))))))), 0'(2(1(1(2(1(0(0(2(1(0(0(2(0(2(1(2(2(1(0(1(1(2(0(1(0(2(2(2(0(0(z0))))))))))))))))))))))))))))))), 2'(1(1(2(1(0(0(2(1(0(0(2(0(2(1(2(2(1(0(1(1(2(0(1(0(2(2(2(0(0(z0)))))))))))))))))))))))))))))), 1'(1(2(1(0(0(2(1(0(0(2(0(2(1(2(2(1(0(1(1(2(0(1(0(2(2(2(0(0(z0))))))))))))))))))))))))))))), 1'(2(1(0(0(2(1(0(0(2(0(2(1(2(2(1(0(1(1(2(0(1(0(2(2(2(0(0(z0)))))))))))))))))))))))))))), 2'(1(0(0(2(1(0(0(2(0(2(1(2(2(1(0(1(1(2(0(1(0(2(2(2(0(0(z0))))))))))))))))))))))))))), 1'(0(0(2(1(0(0(2(0(2(1(2(2(1(0(1(1(2(0(1(0(2(2(2(0(0(z0)))))))))))))))))))))))))), 0'(0(2(1(0(0(2(0(2(1(2(2(1(0(1(1(2(0(1(0(2(2(2(0(0(z0))))))))))))))))))))))))), 0'(2(1(0(0(2(0(2(1(2(2(1(0(1(1(2(0(1(0(2(2(2(0(0(z0)))))))))))))))))))))))), 2'(1(0(0(2(0(2(1(2(2(1(0(1(1(2(0(1(0(2(2(2(0(0(z0))))))))))))))))))))))), 1'(0(0(2(0(2(1(2(2(1(0(1(1(2(0(1(0(2(2(2(0(0(z0)))))))))))))))))))))), 0'(0(2(0(2(1(2(2(1(0(1(1(2(0(1(0(2(2(2(0(0(z0))))))))))))))))))))), 0'(2(0(2(1(2(2(1(0(1(1(2(0(1(0(2(2(2(0(0(z0)))))))))))))))))))), 2'(0(2(1(2(2(1(0(1(1(2(0(1(0(2(2(2(0(0(z0))))))))))))))))))), 0'(2(1(2(2(1(0(1(1(2(0(1(0(2(2(2(0(0(z0)))))))))))))))))), 2'(1(2(2(1(0(1(1(2(0(1(0(2(2(2(0(0(z0))))))))))))))))), 1'(2(2(1(0(1(1(2(0(1(0(2(2(2(0(0(z0)))))))))))))))), 2'(2(1(0(1(1(2(0(1(0(2(2(2(0(0(z0))))))))))))))), 2'(1(0(1(1(2(0(1(0(2(2(2(0(0(z0)))))))))))))), 1'(0(1(1(2(0(1(0(2(2(2(0(0(z0))))))))))))), 0'(1(1(2(0(1(0(2(2(2(0(0(z0)))))))))))), 1'(1(2(0(1(0(2(2(2(0(0(z0))))))))))), 1'(2(0(1(0(2(2(2(0(0(z0)))))))))), 2'(0(1(0(2(2(2(0(0(z0))))))))), 0'(1(0(2(2(2(0(0(z0)))))))), 1'(0(2(2(2(0(0(z0))))))), 0'(2(2(2(0(0(z0)))))), 2'(2(2(0(0(z0))))), 2'(2(0(0(z0)))), 2'(0(0(z0))), 0'(0(z0)), 0'(z0)) S tuples: 0'(0(1(1(0(0(0(1(z0)))))))) -> c6(0'(2(0(1(0(1(1(1(1(z0))))))))), 2'(0(1(0(1(1(1(1(z0)))))))), 0'(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)) 0'(1(2(1(1(1(0(2(0(2(z0)))))))))) -> c7(0'(2(0(2(0(2(0(2(0(1(2(z0))))))))))), 2'(0(2(0(2(0(2(0(1(2(z0)))))))))), 0'(2(0(2(0(2(0(1(2(z0))))))))), 2'(0(2(0(2(0(1(2(z0)))))))), 0'(2(0(2(0(1(2(z0))))))), 2'(0(2(0(1(2(z0)))))), 0'(2(0(1(2(z0))))), 2'(0(1(2(z0)))), 0'(1(2(z0))), 1'(2(z0)), 2'(z0)) 0'(1(0(1(2(0(0(1(0(0(1(2(1(0(1(0(z0)))))))))))))))) -> c8(0'(1(1(1(1(2(0(2(1(0(0(0(1(0(0(0(z0)))))))))))))))), 1'(1(1(1(2(0(2(1(0(0(0(1(0(0(0(z0))))))))))))))), 1'(1(1(2(0(2(1(0(0(0(1(0(0(0(z0)))))))))))))), 1'(1(2(0(2(1(0(0(0(1(0(0(0(z0))))))))))))), 1'(2(0(2(1(0(0(0(1(0(0(0(z0)))))))))))), 2'(0(2(1(0(0(0(1(0(0(0(z0))))))))))), 0'(2(1(0(0(0(1(0(0(0(z0)))))))))), 2'(1(0(0(0(1(0(0(0(z0))))))))), 1'(0(0(0(1(0(0(0(z0)))))))), 0'(0(0(1(0(0(0(z0))))))), 0'(0(1(0(0(0(z0)))))), 0'(1(0(0(0(z0))))), 1'(0(0(0(z0)))), 0'(0(0(z0))), 0'(0(z0)), 0'(z0)) 0'(1(0(1(1(0(1(2(2(1(1(1(0(2(1(1(1(z0))))))))))))))))) -> c9(0'(2(1(1(0(2(2(0(2(2(0(0(2(0(1(2(1(2(z0)))))))))))))))))), 2'(1(1(0(2(2(0(2(2(0(0(2(0(1(2(1(2(z0))))))))))))))))), 1'(1(0(2(2(0(2(2(0(0(2(0(1(2(1(2(z0)))))))))))))))), 1'(0(2(2(0(2(2(0(0(2(0(1(2(1(2(z0))))))))))))))), 0'(2(2(0(2(2(0(0(2(0(1(2(1(2(z0)))))))))))))), 2'(2(0(2(2(0(0(2(0(1(2(1(2(z0))))))))))))), 2'(0(2(2(0(0(2(0(1(2(1(2(z0)))))))))))), 0'(2(2(0(0(2(0(1(2(1(2(z0))))))))))), 2'(2(0(0(2(0(1(2(1(2(z0)))))))))), 2'(0(0(2(0(1(2(1(2(z0))))))))), 0'(0(2(0(1(2(1(2(z0)))))))), 0'(2(0(1(2(1(2(z0))))))), 2'(0(1(2(1(2(z0)))))), 0'(1(2(1(2(z0))))), 1'(2(1(2(z0)))), 2'(1(2(z0))), 1'(2(z0)), 2'(z0)) 0'(1(2(0(1(1(1(1(2(2(0(2(2(1(0(0(0(1(0(2(1(1(1(z0))))))))))))))))))))))) -> c10(0'(1(0(0(2(0(1(1(2(2(0(0(1(0(2(0(1(1(1(1(1(2(2(2(z0)))))))))))))))))))))))), 1'(0(0(2(0(1(1(2(2(0(0(1(0(2(0(1(1(1(1(1(2(2(2(z0))))))))))))))))))))))), 0'(0(2(0(1(1(2(2(0(0(1(0(2(0(1(1(1(1(1(2(2(2(z0)))))))))))))))))))))), 0'(2(0(1(1(2(2(0(0(1(0(2(0(1(1(1(1(1(2(2(2(z0))))))))))))))))))))), 2'(0(1(1(2(2(0(0(1(0(2(0(1(1(1(1(1(2(2(2(z0)))))))))))))))))))), 0'(1(1(2(2(0(0(1(0(2(0(1(1(1(1(1(2(2(2(z0))))))))))))))))))), 1'(1(2(2(0(0(1(0(2(0(1(1(1(1(1(2(2(2(z0)))))))))))))))))), 1'(2(2(0(0(1(0(2(0(1(1(1(1(1(2(2(2(z0))))))))))))))))), 2'(2(0(0(1(0(2(0(1(1(1(1(1(2(2(2(z0)))))))))))))))), 2'(0(0(1(0(2(0(1(1(1(1(1(2(2(2(z0))))))))))))))), 0'(0(1(0(2(0(1(1(1(1(1(2(2(2(z0)))))))))))))), 0'(1(0(2(0(1(1(1(1(1(2(2(2(z0))))))))))))), 1'(0(2(0(1(1(1(1(1(2(2(2(z0)))))))))))), 0'(2(0(1(1(1(1(1(2(2(2(z0))))))))))), 2'(0(1(1(1(1(1(2(2(2(z0)))))))))), 0'(1(1(1(1(1(2(2(2(z0))))))))), 1'(1(1(1(1(2(2(2(z0)))))))), 1'(1(1(1(2(2(2(z0))))))), 1'(1(1(2(2(2(z0)))))), 1'(1(2(2(2(z0))))), 1'(2(2(2(z0)))), 2'(2(2(z0))), 2'(2(z0)), 2'(z0)) 0'(0(0(2(2(0(2(1(1(0(0(2(2(1(2(0(1(0(1(0(1(1(0(0(z0)))))))))))))))))))))))) -> c11(0'(0(1(0(2(0(0(1(2(2(2(2(2(1(0(1(2(1(2(0(1(1(1(1(1(z0))))))))))))))))))))))))), 0'(1(0(2(0(0(1(2(2(2(2(2(1(0(1(2(1(2(0(1(1(1(1(1(z0)))))))))))))))))))))))), 1'(0(2(0(0(1(2(2(2(2(2(1(0(1(2(1(2(0(1(1(1(1(1(z0))))))))))))))))))))))), 0'(2(0(0(1(2(2(2(2(2(1(0(1(2(1(2(0(1(1(1(1(1(z0)))))))))))))))))))))), 2'(0(0(1(2(2(2(2(2(1(0(1(2(1(2(0(1(1(1(1(1(z0))))))))))))))))))))), 0'(0(1(2(2(2(2(2(1(0(1(2(1(2(0(1(1(1(1(1(z0)))))))))))))))))))), 0'(1(2(2(2(2(2(1(0(1(2(1(2(0(1(1(1(1(1(z0))))))))))))))))))), 1'(2(2(2(2(2(1(0(1(2(1(2(0(1(1(1(1(1(z0)))))))))))))))))), 2'(2(2(2(2(1(0(1(2(1(2(0(1(1(1(1(1(z0))))))))))))))))), 2'(2(2(2(1(0(1(2(1(2(0(1(1(1(1(1(z0)))))))))))))))), 2'(2(2(1(0(1(2(1(2(0(1(1(1(1(1(z0))))))))))))))), 2'(2(1(0(1(2(1(2(0(1(1(1(1(1(z0)))))))))))))), 2'(1(0(1(2(1(2(0(1(1(1(1(1(z0))))))))))))), 1'(0(1(2(1(2(0(1(1(1(1(1(z0)))))))))))), 0'(1(2(1(2(0(1(1(1(1(1(z0))))))))))), 1'(2(1(2(0(1(1(1(1(1(z0)))))))))), 2'(1(2(0(1(1(1(1(1(z0))))))))), 1'(2(0(1(1(1(1(1(z0)))))))), 2'(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)) 0'(1(0(0(2(2(0(1(0(1(2(1(2(2(2(1(0(1(2(1(0(1(1(1(2(0(2(1(z0)))))))))))))))))))))))))))) -> c12(0'(0(2(0(0(2(2(0(0(1(1(2(1(1(1(2(0(0(1(1(2(0(2(0(2(2(1(2(2(z0))))))))))))))))))))))))))))), 0'(2(0(0(2(2(0(0(1(1(2(1(1(1(2(0(0(1(1(2(0(2(0(2(2(1(2(2(z0)))))))))))))))))))))))))))), 2'(0(0(2(2(0(0(1(1(2(1(1(1(2(0(0(1(1(2(0(2(0(2(2(1(2(2(z0))))))))))))))))))))))))))), 0'(0(2(2(0(0(1(1(2(1(1(1(2(0(0(1(1(2(0(2(0(2(2(1(2(2(z0)))))))))))))))))))))))))), 0'(2(2(0(0(1(1(2(1(1(1(2(0(0(1(1(2(0(2(0(2(2(1(2(2(z0))))))))))))))))))))))))), 2'(2(0(0(1(1(2(1(1(1(2(0(0(1(1(2(0(2(0(2(2(1(2(2(z0)))))))))))))))))))))))), 2'(0(0(1(1(2(1(1(1(2(0(0(1(1(2(0(2(0(2(2(1(2(2(z0))))))))))))))))))))))), 0'(0(1(1(2(1(1(1(2(0(0(1(1(2(0(2(0(2(2(1(2(2(z0)))))))))))))))))))))), 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2'(1(0(2(1(2(2(2(0(0(1(2(0(2(0(0(1(1(0(2(1(2(0(1(z0)))))))))))))))))))))))), 1'(0(2(1(2(2(2(0(0(1(2(0(2(0(0(1(1(0(2(1(2(0(1(z0))))))))))))))))))))))), 0'(2(1(2(2(2(0(0(1(2(0(2(0(0(1(1(0(2(1(2(0(1(z0)))))))))))))))))))))), 2'(1(2(2(2(0(0(1(2(0(2(0(0(1(1(0(2(1(2(0(1(z0))))))))))))))))))))), 1'(2(2(2(0(0(1(2(0(2(0(0(1(1(0(2(1(2(0(1(z0)))))))))))))))))))), 2'(2(2(0(0(1(2(0(2(0(0(1(1(0(2(1(2(0(1(z0))))))))))))))))))), 2'(2(0(0(1(2(0(2(0(0(1(1(0(2(1(2(0(1(z0)))))))))))))))))), 2'(0(0(1(2(0(2(0(0(1(1(0(2(1(2(0(1(z0))))))))))))))))), 0'(0(1(2(0(2(0(0(1(1(0(2(1(2(0(1(z0)))))))))))))))), 0'(1(2(0(2(0(0(1(1(0(2(1(2(0(1(z0))))))))))))))), 1'(2(0(2(0(0(1(1(0(2(1(2(0(1(z0)))))))))))))), 2'(0(2(0(0(1(1(0(2(1(2(0(1(z0))))))))))))), 0'(2(0(0(1(1(0(2(1(2(0(1(z0)))))))))))), 2'(0(0(1(1(0(2(1(2(0(1(z0))))))))))), 0'(0(1(1(0(2(1(2(0(1(z0)))))))))), 0'(1(1(0(2(1(2(0(1(z0))))))))), 1'(1(0(2(1(2(0(1(z0)))))))), 1'(0(2(1(2(0(1(z0))))))), 0'(2(1(2(0(1(z0)))))), 2'(1(2(0(1(z0))))), 1'(2(0(1(z0)))), 2'(0(1(z0))), 0'(1(z0)), 1'(z0)) 1'(2(1(1(0(2(2(0(1(2(2(0(2(0(0(1(1(0(1(2(2(2(0(2(2(0(0(0(0(1(1(0(1(0(0(0(1(2(1(2(2(2(0(0(z0)))))))))))))))))))))))))))))))))))))))))))) -> c80(1'(1(2(1(0(2(0(2(2(2(1(1(1(1(0(2(1(1(2(1(0(0(2(1(0(0(2(0(2(1(2(2(1(0(1(1(2(0(1(0(2(2(2(0(0(z0))))))))))))))))))))))))))))))))))))))))))))), 1'(2(1(0(2(0(2(2(2(1(1(1(1(0(2(1(1(2(1(0(0(2(1(0(0(2(0(2(1(2(2(1(0(1(1(2(0(1(0(2(2(2(0(0(z0)))))))))))))))))))))))))))))))))))))))))))), 2'(1(0(2(0(2(2(2(1(1(1(1(0(2(1(1(2(1(0(0(2(1(0(0(2(0(2(1(2(2(1(0(1(1(2(0(1(0(2(2(2(0(0(z0))))))))))))))))))))))))))))))))))))))))))), 1'(0(2(0(2(2(2(1(1(1(1(0(2(1(1(2(1(0(0(2(1(0(0(2(0(2(1(2(2(1(0(1(1(2(0(1(0(2(2(2(0(0(z0)))))))))))))))))))))))))))))))))))))))))), 0'(2(0(2(2(2(1(1(1(1(0(2(1(1(2(1(0(0(2(1(0(0(2(0(2(1(2(2(1(0(1(1(2(0(1(0(2(2(2(0(0(z0))))))))))))))))))))))))))))))))))))))))), 2'(0(2(2(2(1(1(1(1(0(2(1(1(2(1(0(0(2(1(0(0(2(0(2(1(2(2(1(0(1(1(2(0(1(0(2(2(2(0(0(z0)))))))))))))))))))))))))))))))))))))))), 0'(2(2(2(1(1(1(1(0(2(1(1(2(1(0(0(2(1(0(0(2(0(2(1(2(2(1(0(1(1(2(0(1(0(2(2(2(0(0(z0))))))))))))))))))))))))))))))))))))))), 2'(2(2(1(1(1(1(0(2(1(1(2(1(0(0(2(1(0(0(2(0(2(1(2(2(1(0(1(1(2(0(1(0(2(2(2(0(0(z0)))))))))))))))))))))))))))))))))))))), 2'(2(1(1(1(1(0(2(1(1(2(1(0(0(2(1(0(0(2(0(2(1(2(2(1(0(1(1(2(0(1(0(2(2(2(0(0(z0))))))))))))))))))))))))))))))))))))), 2'(1(1(1(1(0(2(1(1(2(1(0(0(2(1(0(0(2(0(2(1(2(2(1(0(1(1(2(0(1(0(2(2(2(0(0(z0)))))))))))))))))))))))))))))))))))), 1'(1(1(1(0(2(1(1(2(1(0(0(2(1(0(0(2(0(2(1(2(2(1(0(1(1(2(0(1(0(2(2(2(0(0(z0))))))))))))))))))))))))))))))))))), 1'(1(1(0(2(1(1(2(1(0(0(2(1(0(0(2(0(2(1(2(2(1(0(1(1(2(0(1(0(2(2(2(0(0(z0)))))))))))))))))))))))))))))))))), 1'(1(0(2(1(1(2(1(0(0(2(1(0(0(2(0(2(1(2(2(1(0(1(1(2(0(1(0(2(2(2(0(0(z0))))))))))))))))))))))))))))))))), 1'(0(2(1(1(2(1(0(0(2(1(0(0(2(0(2(1(2(2(1(0(1(1(2(0(1(0(2(2(2(0(0(z0)))))))))))))))))))))))))))))))), 0'(2(1(1(2(1(0(0(2(1(0(0(2(0(2(1(2(2(1(0(1(1(2(0(1(0(2(2(2(0(0(z0))))))))))))))))))))))))))))))), 2'(1(1(2(1(0(0(2(1(0(0(2(0(2(1(2(2(1(0(1(1(2(0(1(0(2(2(2(0(0(z0)))))))))))))))))))))))))))))), 1'(1(2(1(0(0(2(1(0(0(2(0(2(1(2(2(1(0(1(1(2(0(1(0(2(2(2(0(0(z0))))))))))))))))))))))))))))), 1'(2(1(0(0(2(1(0(0(2(0(2(1(2(2(1(0(1(1(2(0(1(0(2(2(2(0(0(z0)))))))))))))))))))))))))))), 2'(1(0(0(2(1(0(0(2(0(2(1(2(2(1(0(1(1(2(0(1(0(2(2(2(0(0(z0))))))))))))))))))))))))))), 1'(0(0(2(1(0(0(2(0(2(1(2(2(1(0(1(1(2(0(1(0(2(2(2(0(0(z0)))))))))))))))))))))))))), 0'(0(2(1(0(0(2(0(2(1(2(2(1(0(1(1(2(0(1(0(2(2(2(0(0(z0))))))))))))))))))))))))), 0'(2(1(0(0(2(0(2(1(2(2(1(0(1(1(2(0(1(0(2(2(2(0(0(z0)))))))))))))))))))))))), 2'(1(0(0(2(0(2(1(2(2(1(0(1(1(2(0(1(0(2(2(2(0(0(z0))))))))))))))))))))))), 1'(0(0(2(0(2(1(2(2(1(0(1(1(2(0(1(0(2(2(2(0(0(z0)))))))))))))))))))))), 0'(0(2(0(2(1(2(2(1(0(1(1(2(0(1(0(2(2(2(0(0(z0))))))))))))))))))))), 0'(2(0(2(1(2(2(1(0(1(1(2(0(1(0(2(2(2(0(0(z0)))))))))))))))))))), 2'(0(2(1(2(2(1(0(1(1(2(0(1(0(2(2(2(0(0(z0))))))))))))))))))), 0'(2(1(2(2(1(0(1(1(2(0(1(0(2(2(2(0(0(z0)))))))))))))))))), 2'(1(2(2(1(0(1(1(2(0(1(0(2(2(2(0(0(z0))))))))))))))))), 1'(2(2(1(0(1(1(2(0(1(0(2(2(2(0(0(z0)))))))))))))))), 2'(2(1(0(1(1(2(0(1(0(2(2(2(0(0(z0))))))))))))))), 2'(1(0(1(1(2(0(1(0(2(2(2(0(0(z0)))))))))))))), 1'(0(1(1(2(0(1(0(2(2(2(0(0(z0))))))))))))), 0'(1(1(2(0(1(0(2(2(2(0(0(z0)))))))))))), 1'(1(2(0(1(0(2(2(2(0(0(z0))))))))))), 1'(2(0(1(0(2(2(2(0(0(z0)))))))))), 2'(0(1(0(2(2(2(0(0(z0))))))))), 0'(1(0(2(2(2(0(0(z0)))))))), 1'(0(2(2(2(0(0(z0))))))), 0'(2(2(2(0(0(z0)))))), 2'(2(2(0(0(z0))))), 2'(2(0(0(z0)))), 2'(0(0(z0))), 0'(0(z0)), 0'(z0)) 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_9, c7_11, c8_16, c9_18, c10_24, c11_25, c12_29, c13_30, c14_31, c15_32, c16_32, c17_35, c18_37, c19_39, c20_38, c21_43, c22_42, c23_45, c24_43, c25_46, c26_8, c27_14, c28_22, c29_22, c30_23, c31_23, c32_26, c33_27, c34_29, c35_29, c36_31, c37_35, c38_36, c39_36, c40_35, c41_35, c42_36, c43_37, c44_39, c45_40, c46_42, c47_39, c48_41, c49_40, c50_40, c51_40, c52_42, c53_45, c54_43, c55_43, c56_44, c57_46, c58_50, c59_49, c60_49, c61_9, c62_10, c63_13, c64_20, c65_22, c66_25, c67_27, c68_29, c69_31, c70_31, c71_32, c72_37, c73_37, c74_37, c75_37, c76_39, c77_41, c78_43, c79_45, c80_45 ---------------------------------------- (37) CdtLeafRemovalProof (ComplexityIfPolyImplication) Removed 2 leading nodes: 2'(1(1(2(0(2(0(2(0(1(1(0(2(2(2(2(1(1(1(0(0(0(1(1(0(0(0(1(2(0(0(0(0(1(0(1(2(1(2(2(0(1(z0)))))))))))))))))))))))))))))))))))))))))) -> c53(2'(2(2(0(0(1(2(0(0(2(0(1(1(0(2(0(1(2(0(1(0(0(2(0(2(1(1(0(2(1(0(0(2(2(1(2(2(2(0(1(1(2(0(2(0(z0))))))))))))))))))))))))))))))))))))))))))))), 2'(2(0(0(1(2(0(0(2(0(1(1(0(2(0(1(2(0(1(0(0(2(0(2(1(1(0(2(1(0(0(2(2(1(2(2(2(0(1(1(2(0(2(0(z0)))))))))))))))))))))))))))))))))))))))))))), 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0'(0(2(0(2(1(1(0(2(1(0(0(2(2(1(2(2(2(0(1(1(2(0(2(0(z0))))))))))))))))))))))))), 0'(2(0(2(1(1(0(2(1(0(0(2(2(1(2(2(2(0(1(1(2(0(2(0(z0)))))))))))))))))))))))), 2'(0(2(1(1(0(2(1(0(0(2(2(1(2(2(2(0(1(1(2(0(2(0(z0))))))))))))))))))))))), 0'(2(1(1(0(2(1(0(0(2(2(1(2(2(2(0(1(1(2(0(2(0(z0)))))))))))))))))))))), 2'(1(1(0(2(1(0(0(2(2(1(2(2(2(0(1(1(2(0(2(0(z0))))))))))))))))))))), 1'(1(0(2(1(0(0(2(2(1(2(2(2(0(1(1(2(0(2(0(z0)))))))))))))))))))), 1'(0(2(1(0(0(2(2(1(2(2(2(0(1(1(2(0(2(0(z0))))))))))))))))))), 0'(2(1(0(0(2(2(1(2(2(2(0(1(1(2(0(2(0(z0)))))))))))))))))), 2'(1(0(0(2(2(1(2(2(2(0(1(1(2(0(2(0(z0))))))))))))))))), 1'(0(0(2(2(1(2(2(2(0(1(1(2(0(2(0(z0)))))))))))))))), 0'(0(2(2(1(2(2(2(0(1(1(2(0(2(0(z0))))))))))))))), 0'(2(2(1(2(2(2(0(1(1(2(0(2(0(z0)))))))))))))), 2'(2(1(2(2(2(0(1(1(2(0(2(0(z0))))))))))))), 2'(1(2(2(2(0(1(1(2(0(2(0(z0)))))))))))), 1'(2(2(2(0(1(1(2(0(2(0(z0))))))))))), 2'(2(2(0(1(1(2(0(2(0(z0)))))))))), 2'(2(0(1(1(2(0(2(0(z0))))))))), 2'(0(1(1(2(0(2(0(z0)))))))), 0'(1(1(2(0(2(0(z0))))))), 1'(1(2(0(2(0(z0)))))), 1'(2(0(2(0(z0))))), 2'(0(2(0(z0)))), 0'(2(0(z0))), 2'(0(z0)), 0'(z0)) 1'(1(1(0(1(2(2(2(2(0(1(0(2(2(0(0(0(1(2(0(0(0(2(2(1(0(0(0(0(1(1(0(0(0(1(z0))))))))))))))))))))))))))))))))))) -> c73(1'(1(1(1(2(0(1(1(1(0(1(0(2(0(0(1(1(2(1(0(2(2(0(0(0(0(1(2(0(1(0(0(2(0(1(2(0(z0))))))))))))))))))))))))))))))))))))), 1'(1(1(2(0(1(1(1(0(1(0(2(0(0(1(1(2(1(0(2(2(0(0(0(0(1(2(0(1(0(0(2(0(1(2(0(z0)))))))))))))))))))))))))))))))))))), 1'(1(2(0(1(1(1(0(1(0(2(0(0(1(1(2(1(0(2(2(0(0(0(0(1(2(0(1(0(0(2(0(1(2(0(z0))))))))))))))))))))))))))))))))))), 1'(2(0(1(1(1(0(1(0(2(0(0(1(1(2(1(0(2(2(0(0(0(0(1(2(0(1(0(0(2(0(1(2(0(z0)))))))))))))))))))))))))))))))))), 2'(0(1(1(1(0(1(0(2(0(0(1(1(2(1(0(2(2(0(0(0(0(1(2(0(1(0(0(2(0(1(2(0(z0))))))))))))))))))))))))))))))))), 0'(1(1(1(0(1(0(2(0(0(1(1(2(1(0(2(2(0(0(0(0(1(2(0(1(0(0(2(0(1(2(0(z0)))))))))))))))))))))))))))))))), 1'(1(1(0(1(0(2(0(0(1(1(2(1(0(2(2(0(0(0(0(1(2(0(1(0(0(2(0(1(2(0(z0))))))))))))))))))))))))))))))), 1'(1(0(1(0(2(0(0(1(1(2(1(0(2(2(0(0(0(0(1(2(0(1(0(0(2(0(1(2(0(z0)))))))))))))))))))))))))))))), 1'(0(1(0(2(0(0(1(1(2(1(0(2(2(0(0(0(0(1(2(0(1(0(0(2(0(1(2(0(z0))))))))))))))))))))))))))))), 0'(1(0(2(0(0(1(1(2(1(0(2(2(0(0(0(0(1(2(0(1(0(0(2(0(1(2(0(z0)))))))))))))))))))))))))))), 1'(0(2(0(0(1(1(2(1(0(2(2(0(0(0(0(1(2(0(1(0(0(2(0(1(2(0(z0))))))))))))))))))))))))))), 0'(2(0(0(1(1(2(1(0(2(2(0(0(0(0(1(2(0(1(0(0(2(0(1(2(0(z0)))))))))))))))))))))))))), 2'(0(0(1(1(2(1(0(2(2(0(0(0(0(1(2(0(1(0(0(2(0(1(2(0(z0))))))))))))))))))))))))), 0'(0(1(1(2(1(0(2(2(0(0(0(0(1(2(0(1(0(0(2(0(1(2(0(z0)))))))))))))))))))))))), 0'(1(1(2(1(0(2(2(0(0(0(0(1(2(0(1(0(0(2(0(1(2(0(z0))))))))))))))))))))))), 1'(1(2(1(0(2(2(0(0(0(0(1(2(0(1(0(0(2(0(1(2(0(z0)))))))))))))))))))))), 1'(2(1(0(2(2(0(0(0(0(1(2(0(1(0(0(2(0(1(2(0(z0))))))))))))))))))))), 2'(1(0(2(2(0(0(0(0(1(2(0(1(0(0(2(0(1(2(0(z0)))))))))))))))))))), 1'(0(2(2(0(0(0(0(1(2(0(1(0(0(2(0(1(2(0(z0))))))))))))))))))), 0'(2(2(0(0(0(0(1(2(0(1(0(0(2(0(1(2(0(z0)))))))))))))))))), 2'(2(0(0(0(0(1(2(0(1(0(0(2(0(1(2(0(z0))))))))))))))))), 2'(0(0(0(0(1(2(0(1(0(0(2(0(1(2(0(z0)))))))))))))))), 0'(0(0(0(1(2(0(1(0(0(2(0(1(2(0(z0))))))))))))))), 0'(0(0(1(2(0(1(0(0(2(0(1(2(0(z0)))))))))))))), 0'(0(1(2(0(1(0(0(2(0(1(2(0(z0))))))))))))), 0'(1(2(0(1(0(0(2(0(1(2(0(z0)))))))))))), 1'(2(0(1(0(0(2(0(1(2(0(z0))))))))))), 2'(0(1(0(0(2(0(1(2(0(z0)))))))))), 0'(1(0(0(2(0(1(2(0(z0))))))))), 1'(0(0(2(0(1(2(0(z0)))))))), 0'(0(2(0(1(2(0(z0))))))), 0'(2(0(1(2(0(z0)))))), 2'(0(1(2(0(z0))))), 0'(1(2(0(z0)))), 1'(2(0(z0))), 2'(0(z0)), 0'(z0)) ---------------------------------------- (38) 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(0(1(1(0(0(0(1(z0)))))))) -> 0(2(0(1(0(1(1(1(1(z0))))))))) 0(1(2(1(1(1(0(2(0(2(z0)))))))))) -> 0(2(0(2(0(2(0(2(0(1(2(z0))))))))))) 0(1(0(1(2(0(0(1(0(0(1(2(1(0(1(0(z0)))))))))))))))) -> 0(1(1(1(1(2(0(2(1(0(0(0(1(0(0(0(z0)))))))))))))))) 0(1(0(1(1(0(1(2(2(1(1(1(0(2(1(1(1(z0))))))))))))))))) -> 0(2(1(1(0(2(2(0(2(2(0(0(2(0(1(2(1(2(z0)))))))))))))))))) 0(1(2(0(1(1(1(1(2(2(0(2(2(1(0(0(0(1(0(2(1(1(1(z0))))))))))))))))))))))) -> 0(1(0(0(2(0(1(1(2(2(0(0(1(0(2(0(1(1(1(1(1(2(2(2(z0)))))))))))))))))))))))) 0(0(0(2(2(0(2(1(1(0(0(2(2(1(2(0(1(0(1(0(1(1(0(0(z0)))))))))))))))))))))))) -> 0(0(1(0(2(0(0(1(2(2(2(2(2(1(0(1(2(1(2(0(1(1(1(1(1(z0))))))))))))))))))))))))) 0(1(0(0(2(2(0(1(0(1(2(1(2(2(2(1(0(1(2(1(0(1(1(1(2(0(2(1(z0)))))))))))))))))))))))))))) -> 0(0(2(0(0(2(2(0(0(1(1(2(1(1(1(2(0(0(1(1(2(0(2(0(2(2(1(2(2(z0))))))))))))))))))))))))))))) 0(0(2(0(2(1(1(2(0(2(1(1(2(0(1(0(1(2(1(1(1(0(0(0(0(2(2(1(2(0(z0)))))))))))))))))))))))))))))) -> 0(0(2(0(1(1(1(0(0(2(1(1(2(0(0(2(2(0(1(1(1(2(0(2(0(2(1(2(1(0(z0)))))))))))))))))))))))))))))) 0(1(0(1(0(2(1(1(0(1(2(0(0(1(2(2(0(2(0(2(1(2(1(2(2(0(2(2(1(2(z0)))))))))))))))))))))))))))))) -> 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1(2(0(1(0(0(0(1(2(2(1(1(2(0(1(0(1(1(0(z0))))))))))))))))))) -> 2(0(2(1(0(2(2(2(0(0(0(2(2(2(2(0(2(0(2(0(z0)))))))))))))))))))) 1(0(1(0(2(2(2(2(0(1(1(0(1(2(2(0(2(1(0(1(1(z0))))))))))))))))))))) -> 2(0(0(0(2(2(1(2(0(2(0(1(0(0(2(0(2(0(0(2(1(0(z0)))))))))))))))))))))) 1(1(0(1(1(1(1(0(1(0(0(2(1(1(2(0(0(1(1(0(2(0(0(0(z0)))))))))))))))))))))))) -> 2(0(0(2(1(0(2(2(2(0(0(2(2(2(2(0(0(0(2(0(1(2(0(0(0(z0))))))))))))))))))))))))) 1(0(0(1(2(0(0(0(1(1(1(1(2(2(2(2(2(1(1(2(1(0(1(0(1(0(z0)))))))))))))))))))))))))) -> 1(0(1(0(2(2(0(2(0(1(1(2(2(1(2(2(2(2(0(0(1(1(0(1(0(2(0(z0))))))))))))))))))))))))))) 1(2(1(0(0(1(1(0(1(0(2(1(2(0(2(0(1(1(2(1(2(0(1(1(0(0(0(1(z0)))))))))))))))))))))))))))) -> 1(1(1(1(2(0(2(0(0(1(2(0(0(0(0(2(2(1(0(0(2(0(1(2(0(1(2(0(0(z0))))))))))))))))))))))))))))) 1(2(0(0(0(2(0(1(1(2(2(0(0(2(2(0(2(1(1(1(2(1(1(1(0(1(2(1(2(1(z0)))))))))))))))))))))))))))))) -> 1(0(2(0(1(1(2(0(2(1(0(0(1(2(2(0(1(1(2(0(2(2(1(2(2(2(2(1(1(1(2(z0))))))))))))))))))))))))))))))) 1(2(1(1(1(2(1(0(2(2(0(1(2(0(0(1(0(0(2(1(2(1(2(1(0(1(0(2(1(0(z0)))))))))))))))))))))))))))))) -> 1(0(1(0(0(0(2(0(1(1(1(2(2(2(2(1(0(2(0(2(2(1(1(0(1(2(2(1(1(1(0(z0))))))))))))))))))))))))))))))) 1(2(2(2(1(0(0(2(0(0(1(1(1(2(1(1(1(2(2(1(2(0(2(1(0(1(2(1(1(1(2(2(z0)))))))))))))))))))))))))))))))) -> 1(1(1(2(1(0(2(1(0(2(1(1(2(2(1(2(1(1(1(2(1(0(2(0(0(2(0(2(2(1(1(2(z0)))))))))))))))))))))))))))))))) 1(2(2(0(2(1(2(0(2(2(1(1(1(2(1(2(1(2(2(2(2(2(0(0(0(0(1(0(0(0(1(1(2(0(z0)))))))))))))))))))))))))))))))))) -> 1(1(2(1(1(1(0(1(2(0(0(1(2(2(0(2(0(0(2(0(1(0(2(0(0(1(0(0(0(2(0(2(1(2(2(0(1(z0))))))))))))))))))))))))))))))))))))) 1(1(1(0(1(2(2(2(2(0(1(0(2(2(0(0(0(1(2(0(0(0(2(2(1(0(0(0(0(1(1(0(0(0(1(z0))))))))))))))))))))))))))))))))))) -> 1(1(1(1(2(0(1(1(1(0(1(0(2(0(0(1(1(2(1(0(2(2(0(0(0(0(1(2(0(1(0(0(2(0(1(2(0(z0))))))))))))))))))))))))))))))))))))) 1(1(2(1(1(0(2(0(2(0(0(0(1(0(1(1(1(1(2(2(1(1(0(2(2(2(0(2(1(0(1(2(0(0(0(z0))))))))))))))))))))))))))))))))))) -> 1(0(2(0(1(0(2(0(1(1(0(0(0(1(2(0(1(1(1(0(2(0(2(0(0(2(0(2(2(1(2(0(2(2(0(1(0(z0))))))))))))))))))))))))))))))))))))) 1(0(1(2(0(1(0(2(2(1(2(2(0(0(0(2(1(1(2(0(2(1(1(1(0(1(0(0(0(2(1(1(2(1(0(0(z0)))))))))))))))))))))))))))))))))))) -> 1(1(2(1(0(2(1(1(2(0(2(1(1(1(2(2(0(2(1(2(2(1(1(1(0(1(0(2(0(0(0(2(0(2(0(0(1(z0))))))))))))))))))))))))))))))))))))) 1(1(2(1(0(2(2(1(2(2(2(0(1(1(0(0(2(1(0(1(2(2(2(1(1(1(2(0(0(0(1(1(0(1(1(1(2(0(z0)))))))))))))))))))))))))))))))))))))) -> 2(0(0(2(0(2(1(0(0(1(0(0(0(1(1(1(0(2(1(0(1(2(0(0(1(1(2(2(1(0(0(2(0(0(1(2(1(0(1(z0))))))))))))))))))))))))))))))))))))))) 1(2(2(0(1(2(2(2(0(1(1(1(2(1(1(0(0(1(2(1(2(2(2(1(0(0(0(0(1(1(2(1(0(0(1(0(2(1(1(z0))))))))))))))))))))))))))))))))))))))) -> 1(2(2(1(2(1(1(1(1(1(2(2(1(1(1(0(2(2(2(0(2(0(0(2(2(0(0(0(2(0(2(0(2(2(2(1(0(2(0(2(2(z0))))))))))))))))))))))))))))))))))))))))) 1(1(1(2(0(1(0(1(0(1(1(1(2(1(1(2(1(2(2(1(1(2(1(1(2(1(2(0(0(2(2(2(1(2(0(0(0(0(1(1(0(0(z0)))))))))))))))))))))))))))))))))))))))))) -> 1(2(1(0(1(2(0(1(0(2(0(2(2(2(0(1(1(1(1(2(1(0(2(2(1(0(2(2(1(1(0(2(1(2(0(2(0(2(1(0(0(0(0(z0))))))))))))))))))))))))))))))))))))))))))) 1(2(1(2(1(0(2(2(2(1(2(0(0(2(2(0(1(2(1(1(2(1(0(1(2(2(1(2(0(1(2(2(1(2(2(1(1(2(1(0(1(1(1(z0))))))))))))))))))))))))))))))))))))))))))) -> 1(0(0(2(1(0(1(2(2(1(0(1(2(1(0(1(0(1(2(0(2(2(1(0(2(1(2(2(2(0(0(1(2(0(2(0(0(1(1(0(2(1(2(0(1(z0))))))))))))))))))))))))))))))))))))))))))))) 1(2(1(1(0(2(2(0(1(2(2(0(2(0(0(1(1(0(1(2(2(2(0(2(2(0(0(0(0(1(1(0(1(0(0(0(1(2(1(2(2(2(0(0(z0)))))))))))))))))))))))))))))))))))))))))))) -> 1(1(2(1(0(2(0(2(2(2(1(1(1(1(0(2(1(1(2(1(0(0(2(1(0(0(2(0(2(1(2(2(1(0(1(1(2(0(1(0(2(2(2(0(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'(0(1(1(0(0(0(1(z0)))))))) -> c6(0'(2(0(1(0(1(1(1(1(z0))))))))), 2'(0(1(0(1(1(1(1(z0)))))))), 0'(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)) 0'(1(2(1(1(1(0(2(0(2(z0)))))))))) -> c7(0'(2(0(2(0(2(0(2(0(1(2(z0))))))))))), 2'(0(2(0(2(0(2(0(1(2(z0)))))))))), 0'(2(0(2(0(2(0(1(2(z0))))))))), 2'(0(2(0(2(0(1(2(z0)))))))), 0'(2(0(2(0(1(2(z0))))))), 2'(0(2(0(1(2(z0)))))), 0'(2(0(1(2(z0))))), 2'(0(1(2(z0)))), 0'(1(2(z0))), 1'(2(z0)), 2'(z0)) 0'(1(0(1(2(0(0(1(0(0(1(2(1(0(1(0(z0)))))))))))))))) -> c8(0'(1(1(1(1(2(0(2(1(0(0(0(1(0(0(0(z0)))))))))))))))), 1'(1(1(1(2(0(2(1(0(0(0(1(0(0(0(z0))))))))))))))), 1'(1(1(2(0(2(1(0(0(0(1(0(0(0(z0)))))))))))))), 1'(1(2(0(2(1(0(0(0(1(0(0(0(z0))))))))))))), 1'(2(0(2(1(0(0(0(1(0(0(0(z0)))))))))))), 2'(0(2(1(0(0(0(1(0(0(0(z0))))))))))), 0'(2(1(0(0(0(1(0(0(0(z0)))))))))), 2'(1(0(0(0(1(0(0(0(z0))))))))), 1'(0(0(0(1(0(0(0(z0)))))))), 0'(0(0(1(0(0(0(z0))))))), 0'(0(1(0(0(0(z0)))))), 0'(1(0(0(0(z0))))), 1'(0(0(0(z0)))), 0'(0(0(z0))), 0'(0(z0)), 0'(z0)) 0'(1(0(1(1(0(1(2(2(1(1(1(0(2(1(1(1(z0))))))))))))))))) -> c9(0'(2(1(1(0(2(2(0(2(2(0(0(2(0(1(2(1(2(z0)))))))))))))))))), 2'(1(1(0(2(2(0(2(2(0(0(2(0(1(2(1(2(z0))))))))))))))))), 1'(1(0(2(2(0(2(2(0(0(2(0(1(2(1(2(z0)))))))))))))))), 1'(0(2(2(0(2(2(0(0(2(0(1(2(1(2(z0))))))))))))))), 0'(2(2(0(2(2(0(0(2(0(1(2(1(2(z0)))))))))))))), 2'(2(0(2(2(0(0(2(0(1(2(1(2(z0))))))))))))), 2'(0(2(2(0(0(2(0(1(2(1(2(z0)))))))))))), 0'(2(2(0(0(2(0(1(2(1(2(z0))))))))))), 2'(2(0(0(2(0(1(2(1(2(z0)))))))))), 2'(0(0(2(0(1(2(1(2(z0))))))))), 0'(0(2(0(1(2(1(2(z0)))))))), 0'(2(0(1(2(1(2(z0))))))), 2'(0(1(2(1(2(z0)))))), 0'(1(2(1(2(z0))))), 1'(2(1(2(z0)))), 2'(1(2(z0))), 1'(2(z0)), 2'(z0)) 0'(1(2(0(1(1(1(1(2(2(0(2(2(1(0(0(0(1(0(2(1(1(1(z0))))))))))))))))))))))) -> c10(0'(1(0(0(2(0(1(1(2(2(0(0(1(0(2(0(1(1(1(1(1(2(2(2(z0)))))))))))))))))))))))), 1'(0(0(2(0(1(1(2(2(0(0(1(0(2(0(1(1(1(1(1(2(2(2(z0))))))))))))))))))))))), 0'(0(2(0(1(1(2(2(0(0(1(0(2(0(1(1(1(1(1(2(2(2(z0)))))))))))))))))))))), 0'(2(0(1(1(2(2(0(0(1(0(2(0(1(1(1(1(1(2(2(2(z0))))))))))))))))))))), 2'(0(1(1(2(2(0(0(1(0(2(0(1(1(1(1(1(2(2(2(z0)))))))))))))))))))), 0'(1(1(2(2(0(0(1(0(2(0(1(1(1(1(1(2(2(2(z0))))))))))))))))))), 1'(1(2(2(0(0(1(0(2(0(1(1(1(1(1(2(2(2(z0)))))))))))))))))), 1'(2(2(0(0(1(0(2(0(1(1(1(1(1(2(2(2(z0))))))))))))))))), 2'(2(0(0(1(0(2(0(1(1(1(1(1(2(2(2(z0)))))))))))))))), 2'(0(0(1(0(2(0(1(1(1(1(1(2(2(2(z0))))))))))))))), 0'(0(1(0(2(0(1(1(1(1(1(2(2(2(z0)))))))))))))), 0'(1(0(2(0(1(1(1(1(1(2(2(2(z0))))))))))))), 1'(0(2(0(1(1(1(1(1(2(2(2(z0)))))))))))), 0'(2(0(1(1(1(1(1(2(2(2(z0))))))))))), 2'(0(1(1(1(1(1(2(2(2(z0)))))))))), 0'(1(1(1(1(1(2(2(2(z0))))))))), 1'(1(1(1(1(2(2(2(z0)))))))), 1'(1(1(1(2(2(2(z0))))))), 1'(1(1(2(2(2(z0)))))), 1'(1(2(2(2(z0))))), 1'(2(2(2(z0)))), 2'(2(2(z0))), 2'(2(z0)), 2'(z0)) 0'(0(0(2(2(0(2(1(1(0(0(2(2(1(2(0(1(0(1(0(1(1(0(0(z0)))))))))))))))))))))))) -> c11(0'(0(1(0(2(0(0(1(2(2(2(2(2(1(0(1(2(1(2(0(1(1(1(1(1(z0))))))))))))))))))))))))), 0'(1(0(2(0(0(1(2(2(2(2(2(1(0(1(2(1(2(0(1(1(1(1(1(z0)))))))))))))))))))))))), 1'(0(2(0(0(1(2(2(2(2(2(1(0(1(2(1(2(0(1(1(1(1(1(z0))))))))))))))))))))))), 0'(2(0(0(1(2(2(2(2(2(1(0(1(2(1(2(0(1(1(1(1(1(z0)))))))))))))))))))))), 2'(0(0(1(2(2(2(2(2(1(0(1(2(1(2(0(1(1(1(1(1(z0))))))))))))))))))))), 0'(0(1(2(2(2(2(2(1(0(1(2(1(2(0(1(1(1(1(1(z0)))))))))))))))))))), 0'(1(2(2(2(2(2(1(0(1(2(1(2(0(1(1(1(1(1(z0))))))))))))))))))), 1'(2(2(2(2(2(1(0(1(2(1(2(0(1(1(1(1(1(z0)))))))))))))))))), 2'(2(2(2(2(1(0(1(2(1(2(0(1(1(1(1(1(z0))))))))))))))))), 2'(2(2(2(1(0(1(2(1(2(0(1(1(1(1(1(z0)))))))))))))))), 2'(2(2(1(0(1(2(1(2(0(1(1(1(1(1(z0))))))))))))))), 2'(2(1(0(1(2(1(2(0(1(1(1(1(1(z0)))))))))))))), 2'(1(0(1(2(1(2(0(1(1(1(1(1(z0))))))))))))), 1'(0(1(2(1(2(0(1(1(1(1(1(z0)))))))))))), 0'(1(2(1(2(0(1(1(1(1(1(z0))))))))))), 1'(2(1(2(0(1(1(1(1(1(z0)))))))))), 2'(1(2(0(1(1(1(1(1(z0))))))))), 1'(2(0(1(1(1(1(1(z0)))))))), 2'(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)) 0'(1(0(0(2(2(0(1(0(1(2(1(2(2(2(1(0(1(2(1(0(1(1(1(2(0(2(1(z0)))))))))))))))))))))))))))) -> c12(0'(0(2(0(0(2(2(0(0(1(1(2(1(1(1(2(0(0(1(1(2(0(2(0(2(2(1(2(2(z0))))))))))))))))))))))))))))), 0'(2(0(0(2(2(0(0(1(1(2(1(1(1(2(0(0(1(1(2(0(2(0(2(2(1(2(2(z0)))))))))))))))))))))))))))), 2'(0(0(2(2(0(0(1(1(2(1(1(1(2(0(0(1(1(2(0(2(0(2(2(1(2(2(z0))))))))))))))))))))))))))), 0'(0(2(2(0(0(1(1(2(1(1(1(2(0(0(1(1(2(0(2(0(2(2(1(2(2(z0)))))))))))))))))))))))))), 0'(2(2(0(0(1(1(2(1(1(1(2(0(0(1(1(2(0(2(0(2(2(1(2(2(z0))))))))))))))))))))))))), 2'(2(0(0(1(1(2(1(1(1(2(0(0(1(1(2(0(2(0(2(2(1(2(2(z0)))))))))))))))))))))))), 2'(0(0(1(1(2(1(1(1(2(0(0(1(1(2(0(2(0(2(2(1(2(2(z0))))))))))))))))))))))), 0'(0(1(1(2(1(1(1(2(0(0(1(1(2(0(2(0(2(2(1(2(2(z0)))))))))))))))))))))), 0'(1(1(2(1(1(1(2(0(0(1(1(2(0(2(0(2(2(1(2(2(z0))))))))))))))))))))), 1'(1(2(1(1(1(2(0(0(1(1(2(0(2(0(2(2(1(2(2(z0)))))))))))))))))))), 1'(2(1(1(1(2(0(0(1(1(2(0(2(0(2(2(1(2(2(z0))))))))))))))))))), 2'(1(1(1(2(0(0(1(1(2(0(2(0(2(2(1(2(2(z0)))))))))))))))))), 1'(1(1(2(0(0(1(1(2(0(2(0(2(2(1(2(2(z0))))))))))))))))), 1'(1(2(0(0(1(1(2(0(2(0(2(2(1(2(2(z0)))))))))))))))), 1'(2(0(0(1(1(2(0(2(0(2(2(1(2(2(z0))))))))))))))), 2'(0(0(1(1(2(0(2(0(2(2(1(2(2(z0)))))))))))))), 0'(0(1(1(2(0(2(0(2(2(1(2(2(z0))))))))))))), 0'(1(1(2(0(2(0(2(2(1(2(2(z0)))))))))))), 1'(1(2(0(2(0(2(2(1(2(2(z0))))))))))), 1'(2(0(2(0(2(2(1(2(2(z0)))))))))), 2'(0(2(0(2(2(1(2(2(z0))))))))), 0'(2(0(2(2(1(2(2(z0)))))))), 2'(0(2(2(1(2(2(z0))))))), 0'(2(2(1(2(2(z0)))))), 2'(2(1(2(2(z0))))), 2'(1(2(2(z0)))), 1'(2(2(z0))), 2'(2(z0)), 2'(z0)) 0'(0(2(0(2(1(1(2(0(2(1(1(2(0(1(0(1(2(1(1(1(0(0(0(0(2(2(1(2(0(z0)))))))))))))))))))))))))))))) -> c13(0'(0(2(0(1(1(1(0(0(2(1(1(2(0(0(2(2(0(1(1(1(2(0(2(0(2(1(2(1(0(z0)))))))))))))))))))))))))))))), 0'(2(0(1(1(1(0(0(2(1(1(2(0(0(2(2(0(1(1(1(2(0(2(0(2(1(2(1(0(z0))))))))))))))))))))))))))))), 2'(0(1(1(1(0(0(2(1(1(2(0(0(2(2(0(1(1(1(2(0(2(0(2(1(2(1(0(z0)))))))))))))))))))))))))))), 0'(1(1(1(0(0(2(1(1(2(0(0(2(2(0(1(1(1(2(0(2(0(2(1(2(1(0(z0))))))))))))))))))))))))))), 1'(1(1(0(0(2(1(1(2(0(0(2(2(0(1(1(1(2(0(2(0(2(1(2(1(0(z0)))))))))))))))))))))))))), 1'(1(0(0(2(1(1(2(0(0(2(2(0(1(1(1(2(0(2(0(2(1(2(1(0(z0))))))))))))))))))))))))), 1'(0(0(2(1(1(2(0(0(2(2(0(1(1(1(2(0(2(0(2(1(2(1(0(z0)))))))))))))))))))))))), 0'(0(2(1(1(2(0(0(2(2(0(1(1(1(2(0(2(0(2(1(2(1(0(z0))))))))))))))))))))))), 0'(2(1(1(2(0(0(2(2(0(1(1(1(2(0(2(0(2(1(2(1(0(z0)))))))))))))))))))))), 2'(1(1(2(0(0(2(2(0(1(1(1(2(0(2(0(2(1(2(1(0(z0))))))))))))))))))))), 1'(1(2(0(0(2(2(0(1(1(1(2(0(2(0(2(1(2(1(0(z0)))))))))))))))))))), 1'(2(0(0(2(2(0(1(1(1(2(0(2(0(2(1(2(1(0(z0))))))))))))))))))), 2'(0(0(2(2(0(1(1(1(2(0(2(0(2(1(2(1(0(z0)))))))))))))))))), 0'(0(2(2(0(1(1(1(2(0(2(0(2(1(2(1(0(z0))))))))))))))))), 0'(2(2(0(1(1(1(2(0(2(0(2(1(2(1(0(z0)))))))))))))))), 2'(2(0(1(1(1(2(0(2(0(2(1(2(1(0(z0))))))))))))))), 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0'(1(1(2(2(0(0(1(0(2(0(1(1(1(1(1(2(2(2(z0))))))))))))))))))), 1'(1(2(2(0(0(1(0(2(0(1(1(1(1(1(2(2(2(z0)))))))))))))))))), 1'(2(2(0(0(1(0(2(0(1(1(1(1(1(2(2(2(z0))))))))))))))))), 2'(2(0(0(1(0(2(0(1(1(1(1(1(2(2(2(z0)))))))))))))))), 2'(0(0(1(0(2(0(1(1(1(1(1(2(2(2(z0))))))))))))))), 0'(0(1(0(2(0(1(1(1(1(1(2(2(2(z0)))))))))))))), 0'(1(0(2(0(1(1(1(1(1(2(2(2(z0))))))))))))), 1'(0(2(0(1(1(1(1(1(2(2(2(z0)))))))))))), 0'(2(0(1(1(1(1(1(2(2(2(z0))))))))))), 2'(0(1(1(1(1(1(2(2(2(z0)))))))))), 0'(1(1(1(1(1(2(2(2(z0))))))))), 1'(1(1(1(1(2(2(2(z0)))))))), 1'(1(1(1(2(2(2(z0))))))), 1'(1(1(2(2(2(z0)))))), 1'(1(2(2(2(z0))))), 1'(2(2(2(z0)))), 2'(2(2(z0))), 2'(2(z0)), 2'(z0)) 0'(0(0(2(2(0(2(1(1(0(0(2(2(1(2(0(1(0(1(0(1(1(0(0(z0)))))))))))))))))))))))) -> c11(0'(0(1(0(2(0(0(1(2(2(2(2(2(1(0(1(2(1(2(0(1(1(1(1(1(z0))))))))))))))))))))))))), 0'(1(0(2(0(0(1(2(2(2(2(2(1(0(1(2(1(2(0(1(1(1(1(1(z0)))))))))))))))))))))))), 1'(0(2(0(0(1(2(2(2(2(2(1(0(1(2(1(2(0(1(1(1(1(1(z0))))))))))))))))))))))), 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2'(2(1(1(0(2(1(1(1(2(1(2(2(2(2(1(2(1(0(2(2(z0))))))))))))))))))))) -> c29(1'(2(1(2(2(0(0(2(0(0(0(2(2(1(0(2(0(0(2(0(2(1(z0)))))))))))))))))))))), 2'(1(2(2(0(0(2(0(0(0(2(2(1(0(2(0(0(2(0(2(1(z0))))))))))))))))))))), 1'(2(2(0(0(2(0(0(0(2(2(1(0(2(0(0(2(0(2(1(z0)))))))))))))))))))), 2'(2(0(0(2(0(0(0(2(2(1(0(2(0(0(2(0(2(1(z0))))))))))))))))))), 2'(0(0(2(0(0(0(2(2(1(0(2(0(0(2(0(2(1(z0)))))))))))))))))), 0'(0(2(0(0(0(2(2(1(0(2(0(0(2(0(2(1(z0))))))))))))))))), 0'(2(0(0(0(2(2(1(0(2(0(0(2(0(2(1(z0)))))))))))))))), 2'(0(0(0(2(2(1(0(2(0(0(2(0(2(1(z0))))))))))))))), 0'(0(0(2(2(1(0(2(0(0(2(0(2(1(z0)))))))))))))), 0'(0(2(2(1(0(2(0(0(2(0(2(1(z0))))))))))))), 0'(2(2(1(0(2(0(0(2(0(2(1(z0)))))))))))), 2'(2(1(0(2(0(0(2(0(2(1(z0))))))))))), 2'(1(0(2(0(0(2(0(2(1(z0)))))))))), 1'(0(2(0(0(2(0(2(1(z0))))))))), 0'(2(0(0(2(0(2(1(z0)))))))), 2'(0(0(2(0(2(1(z0))))))), 0'(0(2(0(2(1(z0)))))), 0'(2(0(2(1(z0))))), 2'(0(2(1(z0)))), 0'(2(1(z0))), 2'(1(z0)), 1'(z0)) 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0'(2(1(0(0(0(0(z0))))))), 2'(1(0(0(0(0(z0)))))), 1'(0(0(0(0(z0))))), 0'(0(0(0(z0)))), 0'(0(0(z0))), 0'(0(z0)), 0'(z0)) 1'(2(1(2(1(0(2(2(2(1(2(0(0(2(2(0(1(2(1(1(2(1(0(1(2(2(1(2(0(1(2(2(1(2(2(1(1(2(1(0(1(1(1(z0))))))))))))))))))))))))))))))))))))))))))) -> c79(1'(0(0(2(1(0(1(2(2(1(0(1(2(1(0(1(0(1(2(0(2(2(1(0(2(1(2(2(2(0(0(1(2(0(2(0(0(1(1(0(2(1(2(0(1(z0))))))))))))))))))))))))))))))))))))))))))))), 0'(0(2(1(0(1(2(2(1(0(1(2(1(0(1(0(1(2(0(2(2(1(0(2(1(2(2(2(0(0(1(2(0(2(0(0(1(1(0(2(1(2(0(1(z0)))))))))))))))))))))))))))))))))))))))))))), 0'(2(1(0(1(2(2(1(0(1(2(1(0(1(0(1(2(0(2(2(1(0(2(1(2(2(2(0(0(1(2(0(2(0(0(1(1(0(2(1(2(0(1(z0))))))))))))))))))))))))))))))))))))))))))), 2'(1(0(1(2(2(1(0(1(2(1(0(1(0(1(2(0(2(2(1(0(2(1(2(2(2(0(0(1(2(0(2(0(0(1(1(0(2(1(2(0(1(z0)))))))))))))))))))))))))))))))))))))))))), 1'(0(1(2(2(1(0(1(2(1(0(1(0(1(2(0(2(2(1(0(2(1(2(2(2(0(0(1(2(0(2(0(0(1(1(0(2(1(2(0(1(z0))))))))))))))))))))))))))))))))))))))))), 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2'(1(2(2(2(0(0(1(2(0(2(0(0(1(1(0(2(1(2(0(1(z0))))))))))))))))))))), 1'(2(2(2(0(0(1(2(0(2(0(0(1(1(0(2(1(2(0(1(z0)))))))))))))))))))), 2'(2(2(0(0(1(2(0(2(0(0(1(1(0(2(1(2(0(1(z0))))))))))))))))))), 2'(2(0(0(1(2(0(2(0(0(1(1(0(2(1(2(0(1(z0)))))))))))))))))), 2'(0(0(1(2(0(2(0(0(1(1(0(2(1(2(0(1(z0))))))))))))))))), 0'(0(1(2(0(2(0(0(1(1(0(2(1(2(0(1(z0)))))))))))))))), 0'(1(2(0(2(0(0(1(1(0(2(1(2(0(1(z0))))))))))))))), 1'(2(0(2(0(0(1(1(0(2(1(2(0(1(z0)))))))))))))), 2'(0(2(0(0(1(1(0(2(1(2(0(1(z0))))))))))))), 0'(2(0(0(1(1(0(2(1(2(0(1(z0)))))))))))), 2'(0(0(1(1(0(2(1(2(0(1(z0))))))))))), 0'(0(1(1(0(2(1(2(0(1(z0)))))))))), 0'(1(1(0(2(1(2(0(1(z0))))))))), 1'(1(0(2(1(2(0(1(z0)))))))), 1'(0(2(1(2(0(1(z0))))))), 0'(2(1(2(0(1(z0)))))), 2'(1(2(0(1(z0))))), 1'(2(0(1(z0)))), 2'(0(1(z0))), 0'(1(z0)), 1'(z0)) 1'(2(1(1(0(2(2(0(1(2(2(0(2(0(0(1(1(0(1(2(2(2(0(2(2(0(0(0(0(1(1(0(1(0(0(0(1(2(1(2(2(2(0(0(z0)))))))))))))))))))))))))))))))))))))))))))) -> c80(1'(1(2(1(0(2(0(2(2(2(1(1(1(1(0(2(1(1(2(1(0(0(2(1(0(0(2(0(2(1(2(2(1(0(1(1(2(0(1(0(2(2(2(0(0(z0))))))))))))))))))))))))))))))))))))))))))))), 1'(2(1(0(2(0(2(2(2(1(1(1(1(0(2(1(1(2(1(0(0(2(1(0(0(2(0(2(1(2(2(1(0(1(1(2(0(1(0(2(2(2(0(0(z0)))))))))))))))))))))))))))))))))))))))))))), 2'(1(0(2(0(2(2(2(1(1(1(1(0(2(1(1(2(1(0(0(2(1(0(0(2(0(2(1(2(2(1(0(1(1(2(0(1(0(2(2(2(0(0(z0))))))))))))))))))))))))))))))))))))))))))), 1'(0(2(0(2(2(2(1(1(1(1(0(2(1(1(2(1(0(0(2(1(0(0(2(0(2(1(2(2(1(0(1(1(2(0(1(0(2(2(2(0(0(z0)))))))))))))))))))))))))))))))))))))))))), 0'(2(0(2(2(2(1(1(1(1(0(2(1(1(2(1(0(0(2(1(0(0(2(0(2(1(2(2(1(0(1(1(2(0(1(0(2(2(2(0(0(z0))))))))))))))))))))))))))))))))))))))))), 2'(0(2(2(2(1(1(1(1(0(2(1(1(2(1(0(0(2(1(0(0(2(0(2(1(2(2(1(0(1(1(2(0(1(0(2(2(2(0(0(z0)))))))))))))))))))))))))))))))))))))))), 0'(2(2(2(1(1(1(1(0(2(1(1(2(1(0(0(2(1(0(0(2(0(2(1(2(2(1(0(1(1(2(0(1(0(2(2(2(0(0(z0))))))))))))))))))))))))))))))))))))))), 2'(2(2(1(1(1(1(0(2(1(1(2(1(0(0(2(1(0(0(2(0(2(1(2(2(1(0(1(1(2(0(1(0(2(2(2(0(0(z0)))))))))))))))))))))))))))))))))))))), 2'(2(1(1(1(1(0(2(1(1(2(1(0(0(2(1(0(0(2(0(2(1(2(2(1(0(1(1(2(0(1(0(2(2(2(0(0(z0))))))))))))))))))))))))))))))))))))), 2'(1(1(1(1(0(2(1(1(2(1(0(0(2(1(0(0(2(0(2(1(2(2(1(0(1(1(2(0(1(0(2(2(2(0(0(z0)))))))))))))))))))))))))))))))))))), 1'(1(1(1(0(2(1(1(2(1(0(0(2(1(0(0(2(0(2(1(2(2(1(0(1(1(2(0(1(0(2(2(2(0(0(z0))))))))))))))))))))))))))))))))))), 1'(1(1(0(2(1(1(2(1(0(0(2(1(0(0(2(0(2(1(2(2(1(0(1(1(2(0(1(0(2(2(2(0(0(z0)))))))))))))))))))))))))))))))))), 1'(1(0(2(1(1(2(1(0(0(2(1(0(0(2(0(2(1(2(2(1(0(1(1(2(0(1(0(2(2(2(0(0(z0))))))))))))))))))))))))))))))))), 1'(0(2(1(1(2(1(0(0(2(1(0(0(2(0(2(1(2(2(1(0(1(1(2(0(1(0(2(2(2(0(0(z0)))))))))))))))))))))))))))))))), 0'(2(1(1(2(1(0(0(2(1(0(0(2(0(2(1(2(2(1(0(1(1(2(0(1(0(2(2(2(0(0(z0))))))))))))))))))))))))))))))), 2'(1(1(2(1(0(0(2(1(0(0(2(0(2(1(2(2(1(0(1(1(2(0(1(0(2(2(2(0(0(z0)))))))))))))))))))))))))))))), 1'(1(2(1(0(0(2(1(0(0(2(0(2(1(2(2(1(0(1(1(2(0(1(0(2(2(2(0(0(z0))))))))))))))))))))))))))))), 1'(2(1(0(0(2(1(0(0(2(0(2(1(2(2(1(0(1(1(2(0(1(0(2(2(2(0(0(z0)))))))))))))))))))))))))))), 2'(1(0(0(2(1(0(0(2(0(2(1(2(2(1(0(1(1(2(0(1(0(2(2(2(0(0(z0))))))))))))))))))))))))))), 1'(0(0(2(1(0(0(2(0(2(1(2(2(1(0(1(1(2(0(1(0(2(2(2(0(0(z0)))))))))))))))))))))))))), 0'(0(2(1(0(0(2(0(2(1(2(2(1(0(1(1(2(0(1(0(2(2(2(0(0(z0))))))))))))))))))))))))), 0'(2(1(0(0(2(0(2(1(2(2(1(0(1(1(2(0(1(0(2(2(2(0(0(z0)))))))))))))))))))))))), 2'(1(0(0(2(0(2(1(2(2(1(0(1(1(2(0(1(0(2(2(2(0(0(z0))))))))))))))))))))))), 1'(0(0(2(0(2(1(2(2(1(0(1(1(2(0(1(0(2(2(2(0(0(z0)))))))))))))))))))))), 0'(0(2(0(2(1(2(2(1(0(1(1(2(0(1(0(2(2(2(0(0(z0))))))))))))))))))))), 0'(2(0(2(1(2(2(1(0(1(1(2(0(1(0(2(2(2(0(0(z0)))))))))))))))))))), 2'(0(2(1(2(2(1(0(1(1(2(0(1(0(2(2(2(0(0(z0))))))))))))))))))), 0'(2(1(2(2(1(0(1(1(2(0(1(0(2(2(2(0(0(z0)))))))))))))))))), 2'(1(2(2(1(0(1(1(2(0(1(0(2(2(2(0(0(z0))))))))))))))))), 1'(2(2(1(0(1(1(2(0(1(0(2(2(2(0(0(z0)))))))))))))))), 2'(2(1(0(1(1(2(0(1(0(2(2(2(0(0(z0))))))))))))))), 2'(1(0(1(1(2(0(1(0(2(2(2(0(0(z0)))))))))))))), 1'(0(1(1(2(0(1(0(2(2(2(0(0(z0))))))))))))), 0'(1(1(2(0(1(0(2(2(2(0(0(z0)))))))))))), 1'(1(2(0(1(0(2(2(2(0(0(z0))))))))))), 1'(2(0(1(0(2(2(2(0(0(z0)))))))))), 2'(0(1(0(2(2(2(0(0(z0))))))))), 0'(1(0(2(2(2(0(0(z0)))))))), 1'(0(2(2(2(0(0(z0))))))), 0'(2(2(2(0(0(z0)))))), 2'(2(2(0(0(z0))))), 2'(2(0(0(z0)))), 2'(0(0(z0))), 0'(0(z0)), 0'(z0)) 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_9, c7_11, c8_16, c9_18, c10_24, c11_25, c12_29, c13_30, c14_31, c15_32, c16_32, c17_35, c18_37, c19_39, c20_38, c21_43, c22_42, c23_45, c24_43, c25_46, c26_8, c27_14, c28_22, c29_22, c30_23, c31_23, c32_26, c33_27, c34_29, c35_29, c36_31, c37_35, c38_36, c39_36, c40_35, c41_35, c42_36, c43_37, c44_39, c45_40, c46_42, c47_39, c48_41, c49_40, c50_40, c51_40, c52_42, c54_43, c55_43, c56_44, c57_46, c58_50, c59_49, c60_49, c61_9, c62_10, c63_13, c64_20, c65_22, c66_25, c67_27, c68_29, c69_31, c70_31, c71_32, c72_37, c74_37, c75_37, c76_39, c77_41, c78_43, c79_45, c80_45 ---------------------------------------- (39) CdtRhsSimplificationProcessorProof (BOTH BOUNDS(ID, ID)) Removed 67 trailing tuple parts ---------------------------------------- (40) 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(0(1(1(0(0(0(1(z0)))))))) -> 0(2(0(1(0(1(1(1(1(z0))))))))) 0(1(2(1(1(1(0(2(0(2(z0)))))))))) -> 0(2(0(2(0(2(0(2(0(1(2(z0))))))))))) 0(1(0(1(2(0(0(1(0(0(1(2(1(0(1(0(z0)))))))))))))))) -> 0(1(1(1(1(2(0(2(1(0(0(0(1(0(0(0(z0)))))))))))))))) 0(1(0(1(1(0(1(2(2(1(1(1(0(2(1(1(1(z0))))))))))))))))) -> 0(2(1(1(0(2(2(0(2(2(0(0(2(0(1(2(1(2(z0)))))))))))))))))) 0(1(2(0(1(1(1(1(2(2(0(2(2(1(0(0(0(1(0(2(1(1(1(z0))))))))))))))))))))))) -> 0(1(0(0(2(0(1(1(2(2(0(0(1(0(2(0(1(1(1(1(1(2(2(2(z0)))))))))))))))))))))))) 0(0(0(2(2(0(2(1(1(0(0(2(2(1(2(0(1(0(1(0(1(1(0(0(z0)))))))))))))))))))))))) -> 0(0(1(0(2(0(0(1(2(2(2(2(2(1(0(1(2(1(2(0(1(1(1(1(1(z0))))))))))))))))))))))))) 0(1(0(0(2(2(0(1(0(1(2(1(2(2(2(1(0(1(2(1(0(1(1(1(2(0(2(1(z0)))))))))))))))))))))))))))) -> 0(0(2(0(0(2(2(0(0(1(1(2(1(1(1(2(0(0(1(1(2(0(2(0(2(2(1(2(2(z0))))))))))))))))))))))))))))) 0(0(2(0(2(1(1(2(0(2(1(1(2(0(1(0(1(2(1(1(1(0(0(0(0(2(2(1(2(0(z0)))))))))))))))))))))))))))))) -> 0(0(2(0(1(1(1(0(0(2(1(1(2(0(0(2(2(0(1(1(1(2(0(2(0(2(1(2(1(0(z0)))))))))))))))))))))))))))))) 0(1(0(1(0(2(1(1(0(1(2(0(0(1(2(2(0(2(0(2(1(2(1(2(2(0(2(2(1(2(z0)))))))))))))))))))))))))))))) -> 0(2(2(1(0(0(0(2(2(1(0(2(0(2(0(1(2(0(1(2(0(1(2(0(2(0(1(2(1(2(1(z0))))))))))))))))))))))))))))))) 0(1(0(0(2(1(0(1(1(1(1(1(0(1(0(1(0(2(2(0(2(2(1(2(2(2(1(0(0(2(2(z0))))))))))))))))))))))))))))))) -> 0(0(2(1(1(2(0(1(2(2(2(0(2(1(2(2(0(2(1(0(0(1(2(0(0(2(0(1(0(2(0(2(z0)))))))))))))))))))))))))))))))) 0(0(1(1(1(1(2(2(0(0(2(1(2(2(1(0(2(1(0(0(1(1(0(2(0(2(2(2(2(0(2(1(z0)))))))))))))))))))))))))))))))) -> 0(0(1(1(1(2(1(2(2(0(0(1(2(2(1(2(2(1(2(0(1(0(2(0(0(2(0(2(1(0(2(1(z0)))))))))))))))))))))))))))))))) 0(2(1(2(0(1(2(1(1(1(2(0(0(0(0(1(2(1(0(0(2(2(2(0(1(2(0(2(1(1(2(2(1(2(1(z0))))))))))))))))))))))))))))))))))) -> 0(2(1(2(0(2(0(1(0(1(0(0(1(2(0(2(2(1(0(2(1(2(0(0(1(2(1(2(2(2(1(2(1(1(1(z0))))))))))))))))))))))))))))))))))) 0(2(2(2(1(2(0(2(1(0(1(2(2(0(1(1(0(2(0(0(1(2(2(2(0(0(2(0(2(2(1(0(0(1(0(0(z0)))))))))))))))))))))))))))))))))))) -> 0(0(0(2(0(0(0(2(2(2(0(1(0(2(1(2(2(0(1(2(2(0(0(0(1(0(0(0(2(0(1(1(0(2(0(2(0(z0))))))))))))))))))))))))))))))))))))) 0(0(0(1(0(0(1(2(1(0(2(0(2(1(1(2(2(2(1(1(0(2(2(2(2(2(0(0(0(1(0(1(0(0(0(1(0(z0))))))))))))))))))))))))))))))))))))) -> 0(1(1(0(2(1(1(1(0(2(0(1(2(0(0(0(2(2(1(0(2(2(2(1(1(1(2(1(0(2(1(1(0(1(2(0(1(1(1(z0))))))))))))))))))))))))))))))))))))))) 0(1(1(1(0(1(0(0(2(1(0(0(1(0(0(0(0(1(1(2(1(1(1(0(0(0(1(2(0(2(2(2(2(0(2(0(0(z0))))))))))))))))))))))))))))))))))))) -> 0(0(2(0(1(2(0(0(1(2(0(2(1(1(0(2(1(2(2(2(2(2(0(0(1(0(1(1(2(0(0(1(1(1(1(1(2(0(z0)))))))))))))))))))))))))))))))))))))) 0(2(0(0(1(0(0(2(2(2(0(1(1(1(1(2(2(0(0(0(0(2(0(1(2(1(0(1(2(1(2(2(2(0(0(0(0(1(0(0(z0)))))))))))))))))))))))))))))))))))))))) -> 0(1(0(0(2(0(2(0(0(2(1(0(0(2(2(1(1(2(2(2(1(2(0(1(1(2(0(2(0(2(1(2(0(2(0(1(2(0(2(1(0(0(1(z0))))))))))))))))))))))))))))))))))))))))))) 0(2(1(1(1(0(2(1(1(0(0(2(1(0(2(1(1(0(2(2(1(0(2(0(1(0(2(1(0(1(1(2(2(1(0(1(2(2(0(0(z0)))))))))))))))))))))))))))))))))))))))) -> 0(2(1(2(2(2(2(1(1(1(1(1(2(0(0(2(0(2(0(0(2(1(1(1(0(2(0(2(2(2(1(1(1(0(0(0(1(2(2(0(2(0(z0)))))))))))))))))))))))))))))))))))))))))) 0(2(2(0(1(2(0(0(0(2(2(2(1(2(2(2(1(0(0(0(2(0(2(1(1(0(2(1(2(0(1(0(2(1(2(0(2(1(0(1(0(1(z0)))))))))))))))))))))))))))))))))))))))))) -> 0(1(1(1(2(0(0(0(0(1(1(2(0(2(0(2(0(0(0(2(2(0(0(0(0(2(2(0(1(1(0(0(1(2(1(2(0(1(2(0(0(2(0(0(0(z0))))))))))))))))))))))))))))))))))))))))))))) 0(2(2(2(0(1(1(2(1(1(2(2(1(1(1(2(2(1(1(1(1(0(2(1(1(0(0(2(0(1(2(2(1(1(0(0(0(1(1(0(0(0(z0)))))))))))))))))))))))))))))))))))))))))) -> 0(0(1(0(2(2(0(2(0(0(2(0(2(0(1(2(0(2(0(2(0(0(1(1(2(1(0(1(0(1(2(2(0(2(2(1(0(0(2(0(2(1(0(z0))))))))))))))))))))))))))))))))))))))))))) 0(2(1(2(0(2(1(1(2(2(0(2(1(2(2(0(0(0(1(1(1(0(2(2(2(2(2(2(2(2(2(1(1(1(2(1(0(1(1(0(0(0(2(0(0(z0))))))))))))))))))))))))))))))))))))))))))))) -> 0(2(2(0(2(2(2(0(0(2(2(1(0(1(0(0(2(2(1(1(0(2(2(0(2(2(2(0(1(2(0(0(2(0(2(0(2(1(1(2(2(1(2(1(1(0(z0)))))))))))))))))))))))))))))))))))))))))))))) 2(2(0(0(2(1(0(1(z0)))))))) -> 1(2(2(0(0(1(2(0(z0)))))))) 2(1(2(0(0(0(0(1(2(0(1(1(1(z0))))))))))))) -> 0(0(2(0(2(0(0(2(0(0(0(1(1(1(z0)))))))))))))) 2(1(1(1(0(0(1(2(1(0(0(2(1(0(1(1(0(1(1(0(z0)))))))))))))))))))) -> 1(0(2(1(0(2(0(2(2(0(0(2(0(0(0(2(0(1(1(1(2(0(z0)))))))))))))))))))))) 2(2(1(1(0(2(1(1(1(2(1(2(2(2(2(1(2(1(0(2(2(z0))))))))))))))))))))) -> 1(2(1(2(2(0(0(2(0(0(0(2(2(1(0(2(0(0(2(0(2(1(z0)))))))))))))))))))))) 2(1(2(2(0(2(2(0(0(2(1(1(2(2(1(2(2(0(1(0(1(1(z0)))))))))))))))))))))) -> 1(0(1(1(2(1(1(2(1(0(0(0(1(0(0(2(0(0(2(0(1(0(1(z0))))))))))))))))))))))) 2(2(0(0(0(1(0(2(1(0(1(0(0(0(1(0(2(2(2(1(0(0(0(z0))))))))))))))))))))))) -> 0(0(2(0(0(1(2(0(0(1(1(0(2(0(2(2(0(1(0(2(1(0(0(z0))))))))))))))))))))))) 2(1(0(0(1(1(0(2(2(0(1(0(0(1(2(0(2(1(2(0(1(0(0(0(z0)))))))))))))))))))))))) -> 2(1(1(0(1(2(0(0(2(0(2(0(2(1(0(1(2(0(1(0(2(1(1(2(0(0(z0)))))))))))))))))))))))))) 2(2(2(1(0(0(2(0(1(0(2(1(0(2(1(0(0(1(1(0(0(0(2(0(2(z0))))))))))))))))))))))))) -> 1(0(2(0(1(0(1(0(2(0(1(1(1(2(1(0(2(0(2(0(2(2(0(0(2(0(2(z0))))))))))))))))))))))))))) 2(1(1(1(0(1(0(0(1(0(1(1(0(1(0(2(0(0(0(1(1(1(2(2(0(1(2(2(z0)))))))))))))))))))))))))))) -> 2(0(0(1(2(1(1(2(0(2(0(1(1(1(1(2(0(1(2(1(2(2(2(2(2(2(0(2(2(z0))))))))))))))))))))))))))))) 2(1(1(0(0(0(1(1(2(2(1(2(1(2(1(2(2(0(1(0(0(0(1(2(0(0(1(1(2(z0))))))))))))))))))))))))))))) -> 0(2(1(2(2(0(1(0(1(2(0(0(1(1(1(0(1(1(1(1(2(0(2(2(0(2(1(0(2(z0))))))))))))))))))))))))))))) 2(2(0(1(2(1(2(1(0(2(1(1(0(0(1(0(1(2(1(1(0(1(0(2(1(1(2(0(0(0(z0)))))))))))))))))))))))))))))) -> 1(0(0(1(0(0(2(1(2(2(1(0(2(1(2(2(1(0(1(1(2(1(0(2(0(1(2(2(0(2(0(z0))))))))))))))))))))))))))))))) 2(1(0(1(2(2(0(1(0(0(0(2(1(1(0(1(2(1(1(0(0(2(2(0(1(1(1(2(1(1(1(1(2(1(z0)))))))))))))))))))))))))))))))))) -> 2(0(0(2(0(0(1(2(0(2(2(0(2(2(2(0(0(0(1(0(2(0(0(1(2(0(0(2(0(1(2(0(0(1(0(z0))))))))))))))))))))))))))))))))))) 2(1(1(1(2(2(0(2(0(0(0(0(1(1(2(0(2(2(0(0(2(2(2(0(0(2(1(0(2(1(0(2(1(2(z0)))))))))))))))))))))))))))))))))) -> 1(0(2(0(2(0(0(0(0(2(2(0(0(2(0(0(2(0(2(1(0(0(2(0(1(2(0(0(0(1(2(1(1(2(0(2(z0)))))))))))))))))))))))))))))))))))) 2(1(1(2(2(0(1(1(0(2(1(0(1(1(0(2(1(1(1(0(1(0(2(1(0(2(1(1(1(0(1(0(0(1(z0)))))))))))))))))))))))))))))))))) -> 0(1(2(0(1(2(0(2(0(2(1(2(0(0(1(2(1(1(2(0(0(1(2(2(1(2(1(0(0(1(2(1(0(0(0(0(z0)))))))))))))))))))))))))))))))))))) 2(1(2(1(2(2(2(0(2(2(0(2(2(1(2(1(1(0(0(1(0(1(0(2(1(1(0(2(0(0(2(1(1(1(z0)))))))))))))))))))))))))))))))))) -> 1(2(2(2(0(2(0(2(1(2(0(0(0(1(1(0(1(2(0(0(0(2(0(0(0(1(0(2(2(2(2(1(0(2(2(z0))))))))))))))))))))))))))))))))))) 2(2(2(0(1(1(1(1(1(1(0(2(1(1(0(0(0(1(1(2(2(2(2(2(2(2(2(0(0(1(0(2(0(1(z0)))))))))))))))))))))))))))))))))) -> 0(1(0(0(1(0(0(1(2(0(2(0(2(0(2(0(2(2(1(0(2(1(1(1(1(1(1(0(1(0(1(1(0(0(0(z0))))))))))))))))))))))))))))))))))) 2(1(0(2(1(0(2(2(2(2(0(0(0(1(1(1(2(2(0(2(2(2(0(1(0(2(1(0(1(1(2(2(2(0(0(z0))))))))))))))))))))))))))))))))))) -> 0(2(0(1(2(1(1(0(2(2(0(0(0(0(2(0(1(0(2(1(2(2(0(1(0(1(0(1(2(0(0(2(2(0(1(0(z0)))))))))))))))))))))))))))))))))))) 2(2(2(1(0(0(1(0(0(1(2(1(1(2(1(2(0(1(1(0(1(2(0(1(2(2(1(0(1(0(0(1(2(1(1(z0))))))))))))))))))))))))))))))))))) -> 0(0(2(0(0(0(1(2(1(2(0(1(1(0(2(0(1(0(1(2(0(0(1(1(2(0(0(1(1(0(2(2(0(2(2(1(1(z0))))))))))))))))))))))))))))))))))))) 2(0(2(2(1(2(1(2(2(2(0(1(0(2(2(1(0(0(0(1(2(0(1(2(1(0(0(2(2(0(2(1(1(1(0(0(1(z0))))))))))))))))))))))))))))))))))))) -> 1(2(2(0(0(0(1(1(0(2(0(2(0(0(2(0(1(1(2(0(2(0(1(2(1(2(1(2(1(0(2(2(2(1(0(1(0(1(0(z0))))))))))))))))))))))))))))))))))))))) 2(1(2(1(2(1(2(1(0(1(0(2(2(0(0(1(2(2(1(2(1(0(1(0(2(1(2(2(2(1(1(1(2(0(1(1(0(z0))))))))))))))))))))))))))))))))))))) -> 1(0(1(2(1(2(1(2(2(2(1(0(2(1(0(0(2(0(0(0(2(0(1(0(1(1(2(2(0(1(1(0(2(0(0(2(0(1(0(1(z0)))))))))))))))))))))))))))))))))))))))) 2(2(1(2(1(1(0(0(0(0(1(2(1(1(1(0(0(1(1(0(0(2(0(1(1(1(0(2(2(1(2(0(0(1(0(0(1(z0))))))))))))))))))))))))))))))))))))) -> 2(0(1(2(0(2(0(1(1(0(0(1(0(1(0(2(0(1(0(2(2(2(1(2(1(0(2(0(2(0(0(2(0(1(1(1(2(0(0(2(1(0(z0)))))))))))))))))))))))))))))))))))))))))) 2(1(2(1(2(1(1(0(2(0(2(1(2(2(2(1(1(2(0(0(1(0(1(1(2(1(1(2(0(1(2(2(1(1(0(0(1(1(z0)))))))))))))))))))))))))))))))))))))) -> 2(1(0(2(2(1(0(0(0(2(2(2(1(2(0(1(0(0(1(0(0(0(2(1(1(0(0(2(0(1(2(0(2(2(1(0(2(0(0(z0))))))))))))))))))))))))))))))))))))))) 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2(1(2(0(1(0(0(1(1(0(2(1(1(0(1(2(1(1(2(1(0(2(2(2(1(1(1(0(1(0(2(0(1(2(1(1(0(2(2(0(z0)))))))))))))))))))))))))))))))))))))))) -> 2(0(0(2(0(0(1(2(2(2(2(2(1(2(0(2(0(1(2(1(0(0(1(1(0(1(1(1(2(0(2(0(2(1(0(1(2(0(1(2(0(1(z0)))))))))))))))))))))))))))))))))))))))))) 2(1(1(2(0(2(0(2(0(1(1(0(2(2(2(2(1(1(1(0(0(0(1(1(0(0(0(1(2(0(0(0(0(1(0(1(2(1(2(2(0(1(z0)))))))))))))))))))))))))))))))))))))))))) -> 2(2(2(0(0(1(2(0(0(2(0(1(1(0(2(0(1(2(0(1(0(0(2(0(2(1(1(0(2(1(0(0(2(2(1(2(2(2(0(1(1(2(0(2(0(z0))))))))))))))))))))))))))))))))))))))))))))) 2(1(2(0(0(2(1(0(1(2(1(2(0(0(0(0(1(1(1(0(2(0(1(0(2(1(2(1(2(0(2(1(1(1(1(0(1(0(0(1(1(0(z0)))))))))))))))))))))))))))))))))))))))))) -> 2(2(1(1(1(1(2(2(0(2(1(1(1(2(2(1(0(1(0(1(2(0(2(2(2(1(1(2(0(1(2(0(1(0(0(2(1(0(2(0(1(0(1(z0))))))))))))))))))))))))))))))))))))))))))) 2(2(0(2(2(1(2(0(2(2(2(1(1(0(2(1(1(1(2(2(0(1(0(1(0(1(0(0(1(2(0(0(2(2(0(0(2(1(1(1(1(2(z0)))))))))))))))))))))))))))))))))))))))))) -> 0(1(2(2(0(2(0(0(0(2(0(2(1(2(0(0(1(0(2(0(0(2(0(1(1(2(1(1(0(2(1(2(1(2(0(0(0(1(2(0(0(1(0(z0))))))))))))))))))))))))))))))))))))))))))) 2(2(2(2(0(2(2(2(2(0(1(2(1(1(0(2(1(1(2(1(0(1(0(1(0(0(0(0(2(0(0(1(2(1(2(1(1(0(0(1(2(0(1(z0))))))))))))))))))))))))))))))))))))))))))) -> 2(0(1(2(1(2(0(2(0(1(2(0(1(1(0(2(2(0(0(1(1(2(2(1(1(1(2(1(2(2(0(2(2(1(0(1(1(1(1(1(0(1(2(0(z0)))))))))))))))))))))))))))))))))))))))))))) 2(2(1(0(0(2(1(2(0(0(0(2(1(0(2(0(2(1(2(2(2(0(1(2(2(0(0(0(1(0(2(2(2(1(0(1(2(1(0(0(2(0(1(0(1(z0))))))))))))))))))))))))))))))))))))))))))))) -> 2(1(1(2(1(1(1(0(2(0(1(1(1(2(0(0(2(2(1(2(2(2(2(0(2(0(1(1(0(1(2(2(2(1(1(2(1(1(1(0(0(0(2(0(1(0(z0)))))))))))))))))))))))))))))))))))))))))))))) 2(0(1(1(2(0(0(1(1(1(0(0(0(2(0(0(1(0(0(1(0(0(0(2(1(2(1(0(1(1(1(1(0(0(1(1(0(2(0(2(2(1(0(2(1(1(0(z0))))))))))))))))))))))))))))))))))))))))))))))) -> 2(0(2(0(2(0(2(0(2(0(2(1(2(1(0(0(1(0(0(2(1(2(0(2(0(0(2(1(2(2(1(1(2(2(2(1(2(1(0(0(2(0(0(2(2(2(1(0(2(0(z0)))))))))))))))))))))))))))))))))))))))))))))))))) 2(1(2(0(2(2(0(2(0(0(1(0(1(0(0(1(0(2(2(1(0(2(1(1(0(2(1(1(0(1(2(2(0(0(0(1(2(1(2(0(1(1(1(2(1(1(0(z0))))))))))))))))))))))))))))))))))))))))))))))) -> 0(2(2(0(1(2(1(0(2(0(2(0(0(1(2(2(1(1(2(2(2(0(1(2(0(0(2(2(0(0(0(1(2(2(1(2(2(1(0(2(1(1(1(1(0(1(0(2(0(z0))))))))))))))))))))))))))))))))))))))))))))))))) 2(1(2(2(2(1(1(1(1(1(1(0(1(0(0(2(2(2(0(1(1(1(0(2(1(1(2(1(2(0(0(0(0(2(1(1(0(2(1(1(0(0(0(1(0(0(1(z0))))))))))))))))))))))))))))))))))))))))))))))) -> 0(2(2(2(1(2(1(2(0(1(1(1(1(1(2(2(0(0(0(2(2(2(1(1(0(1(1(0(1(1(1(2(0(0(2(0(1(1(2(2(2(1(0(2(2(2(2(2(0(z0))))))))))))))))))))))))))))))))))))))))))))))))) 1(2(1(0(0(1(2(1(1(z0))))))))) -> 1(0(2(0(1(1(2(1(1(z0))))))))) 1(0(2(1(0(0(1(0(1(2(z0)))))))))) -> 1(2(0(0(1(1(0(0(1(2(z0)))))))))) 1(1(0(1(2(2(2(2(0(2(1(1(z0)))))))))))) -> 1(1(0(1(2(2(0(2(0(1(2(2(2(z0))))))))))))) 1(2(0(1(0(0(0(1(2(2(1(1(2(0(1(0(1(1(0(z0))))))))))))))))))) -> 2(0(2(1(0(2(2(2(0(0(0(2(2(2(2(0(2(0(2(0(z0)))))))))))))))))))) 1(0(1(0(2(2(2(2(0(1(1(0(1(2(2(0(2(1(0(1(1(z0))))))))))))))))))))) -> 2(0(0(0(2(2(1(2(0(2(0(1(0(0(2(0(2(0(0(2(1(0(z0)))))))))))))))))))))) 1(1(0(1(1(1(1(0(1(0(0(2(1(1(2(0(0(1(1(0(2(0(0(0(z0)))))))))))))))))))))))) -> 2(0(0(2(1(0(2(2(2(0(0(2(2(2(2(0(0(0(2(0(1(2(0(0(0(z0))))))))))))))))))))))))) 1(0(0(1(2(0(0(0(1(1(1(1(2(2(2(2(2(1(1(2(1(0(1(0(1(0(z0)))))))))))))))))))))))))) -> 1(0(1(0(2(2(0(2(0(1(1(2(2(1(2(2(2(2(0(0(1(1(0(1(0(2(0(z0))))))))))))))))))))))))))) 1(2(1(0(0(1(1(0(1(0(2(1(2(0(2(0(1(1(2(1(2(0(1(1(0(0(0(1(z0)))))))))))))))))))))))))))) -> 1(1(1(1(2(0(2(0(0(1(2(0(0(0(0(2(2(1(0(0(2(0(1(2(0(1(2(0(0(z0))))))))))))))))))))))))))))) 1(2(0(0(0(2(0(1(1(2(2(0(0(2(2(0(2(1(1(1(2(1(1(1(0(1(2(1(2(1(z0)))))))))))))))))))))))))))))) -> 1(0(2(0(1(1(2(0(2(1(0(0(1(2(2(0(1(1(2(0(2(2(1(2(2(2(2(1(1(1(2(z0))))))))))))))))))))))))))))))) 1(2(1(1(1(2(1(0(2(2(0(1(2(0(0(1(0(0(2(1(2(1(2(1(0(1(0(2(1(0(z0)))))))))))))))))))))))))))))) -> 1(0(1(0(0(0(2(0(1(1(1(2(2(2(2(1(0(2(0(2(2(1(1(0(1(2(2(1(1(1(0(z0))))))))))))))))))))))))))))))) 1(2(2(2(1(0(0(2(0(0(1(1(1(2(1(1(1(2(2(1(2(0(2(1(0(1(2(1(1(1(2(2(z0)))))))))))))))))))))))))))))))) -> 1(1(1(2(1(0(2(1(0(2(1(1(2(2(1(2(1(1(1(2(1(0(2(0(0(2(0(2(2(1(1(2(z0)))))))))))))))))))))))))))))))) 1(2(2(0(2(1(2(0(2(2(1(1(1(2(1(2(1(2(2(2(2(2(0(0(0(0(1(0(0(0(1(1(2(0(z0)))))))))))))))))))))))))))))))))) -> 1(1(2(1(1(1(0(1(2(0(0(1(2(2(0(2(0(0(2(0(1(0(2(0(0(1(0(0(0(2(0(2(1(2(2(0(1(z0))))))))))))))))))))))))))))))))))))) 1(1(1(0(1(2(2(2(2(0(1(0(2(2(0(0(0(1(2(0(0(0(2(2(1(0(0(0(0(1(1(0(0(0(1(z0))))))))))))))))))))))))))))))))))) -> 1(1(1(1(2(0(1(1(1(0(1(0(2(0(0(1(1(2(1(0(2(2(0(0(0(0(1(2(0(1(0(0(2(0(1(2(0(z0))))))))))))))))))))))))))))))))))))) 1(1(2(1(1(0(2(0(2(0(0(0(1(0(1(1(1(1(2(2(1(1(0(2(2(2(0(2(1(0(1(2(0(0(0(z0))))))))))))))))))))))))))))))))))) -> 1(0(2(0(1(0(2(0(1(1(0(0(0(1(2(0(1(1(1(0(2(0(2(0(0(2(0(2(2(1(2(0(2(2(0(1(0(z0))))))))))))))))))))))))))))))))))))) 1(0(1(2(0(1(0(2(2(1(2(2(0(0(0(2(1(1(2(0(2(1(1(1(0(1(0(0(0(2(1(1(2(1(0(0(z0)))))))))))))))))))))))))))))))))))) -> 1(1(2(1(0(2(1(1(2(0(2(1(1(1(2(2(0(2(1(2(2(1(1(1(0(1(0(2(0(0(0(2(0(2(0(0(1(z0))))))))))))))))))))))))))))))))))))) 1(1(2(1(0(2(2(1(2(2(2(0(1(1(0(0(2(1(0(1(2(2(2(1(1(1(2(0(0(0(1(1(0(1(1(1(2(0(z0)))))))))))))))))))))))))))))))))))))) -> 2(0(0(2(0(2(1(0(0(1(0(0(0(1(1(1(0(2(1(0(1(2(0(0(1(1(2(2(1(0(0(2(0(0(1(2(1(0(1(z0))))))))))))))))))))))))))))))))))))))) 1(2(2(0(1(2(2(2(0(1(1(1(2(1(1(0(0(1(2(1(2(2(2(1(0(0(0(0(1(1(2(1(0(0(1(0(2(1(1(z0))))))))))))))))))))))))))))))))))))))) -> 1(2(2(1(2(1(1(1(1(1(2(2(1(1(1(0(2(2(2(0(2(0(0(2(2(0(0(0(2(0(2(0(2(2(2(1(0(2(0(2(2(z0))))))))))))))))))))))))))))))))))))))))) 1(1(1(2(0(1(0(1(0(1(1(1(2(1(1(2(1(2(2(1(1(2(1(1(2(1(2(0(0(2(2(2(1(2(0(0(0(0(1(1(0(0(z0)))))))))))))))))))))))))))))))))))))))))) -> 1(2(1(0(1(2(0(1(0(2(0(2(2(2(0(1(1(1(1(2(1(0(2(2(1(0(2(2(1(1(0(2(1(2(0(2(0(2(1(0(0(0(0(z0))))))))))))))))))))))))))))))))))))))))))) 1(2(1(2(1(0(2(2(2(1(2(0(0(2(2(0(1(2(1(1(2(1(0(1(2(2(1(2(0(1(2(2(1(2(2(1(1(2(1(0(1(1(1(z0))))))))))))))))))))))))))))))))))))))))))) -> 1(0(0(2(1(0(1(2(2(1(0(1(2(1(0(1(0(1(2(0(2(2(1(0(2(1(2(2(2(0(0(1(2(0(2(0(0(1(1(0(2(1(2(0(1(z0))))))))))))))))))))))))))))))))))))))))))))) 1(2(1(1(0(2(2(0(1(2(2(0(2(0(0(1(1(0(1(2(2(2(0(2(2(0(0(0(0(1(1(0(1(0(0(0(1(2(1(2(2(2(0(0(z0)))))))))))))))))))))))))))))))))))))))))))) -> 1(1(2(1(0(2(0(2(2(2(1(1(1(1(0(2(1(1(2(1(0(0(2(1(0(0(2(0(2(1(2(2(1(0(1(1(2(0(1(0(2(2(2(0(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'(0(1(1(0(0(0(1(z0)))))))) -> c6(0'(2(0(1(0(1(1(1(1(z0))))))))), 2'(0(1(0(1(1(1(1(z0)))))))), 0'(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)) 0'(1(2(1(1(1(0(2(0(2(z0)))))))))) -> c7(0'(2(0(2(0(2(0(2(0(1(2(z0))))))))))), 2'(0(2(0(2(0(2(0(1(2(z0)))))))))), 0'(2(0(2(0(2(0(1(2(z0))))))))), 2'(0(2(0(2(0(1(2(z0)))))))), 0'(2(0(2(0(1(2(z0))))))), 2'(0(2(0(1(2(z0)))))), 0'(2(0(1(2(z0))))), 2'(0(1(2(z0)))), 0'(1(2(z0))), 1'(2(z0)), 2'(z0)) 0'(1(0(1(2(0(0(1(0(0(1(2(1(0(1(0(z0)))))))))))))))) -> c8(0'(1(1(1(1(2(0(2(1(0(0(0(1(0(0(0(z0)))))))))))))))), 1'(1(1(1(2(0(2(1(0(0(0(1(0(0(0(z0))))))))))))))), 1'(1(1(2(0(2(1(0(0(0(1(0(0(0(z0)))))))))))))), 1'(1(2(0(2(1(0(0(0(1(0(0(0(z0))))))))))))), 1'(2(0(2(1(0(0(0(1(0(0(0(z0)))))))))))), 2'(0(2(1(0(0(0(1(0(0(0(z0))))))))))), 0'(2(1(0(0(0(1(0(0(0(z0)))))))))), 2'(1(0(0(0(1(0(0(0(z0))))))))), 1'(0(0(0(1(0(0(0(z0)))))))), 0'(0(0(1(0(0(0(z0))))))), 0'(0(1(0(0(0(z0)))))), 0'(1(0(0(0(z0))))), 1'(0(0(0(z0)))), 0'(0(0(z0))), 0'(0(z0)), 0'(z0)) 0'(1(0(1(1(0(1(2(2(1(1(1(0(2(1(1(1(z0))))))))))))))))) -> c9(0'(2(1(1(0(2(2(0(2(2(0(0(2(0(1(2(1(2(z0)))))))))))))))))), 2'(1(1(0(2(2(0(2(2(0(0(2(0(1(2(1(2(z0))))))))))))))))), 1'(1(0(2(2(0(2(2(0(0(2(0(1(2(1(2(z0)))))))))))))))), 1'(0(2(2(0(2(2(0(0(2(0(1(2(1(2(z0))))))))))))))), 0'(2(2(0(2(2(0(0(2(0(1(2(1(2(z0)))))))))))))), 2'(2(0(2(2(0(0(2(0(1(2(1(2(z0))))))))))))), 2'(0(2(2(0(0(2(0(1(2(1(2(z0)))))))))))), 0'(2(2(0(0(2(0(1(2(1(2(z0))))))))))), 2'(2(0(0(2(0(1(2(1(2(z0)))))))))), 2'(0(0(2(0(1(2(1(2(z0))))))))), 0'(0(2(0(1(2(1(2(z0)))))))), 0'(2(0(1(2(1(2(z0))))))), 2'(0(1(2(1(2(z0)))))), 0'(1(2(1(2(z0))))), 1'(2(1(2(z0)))), 2'(1(2(z0))), 1'(2(z0)), 2'(z0)) 0'(1(2(0(1(1(1(1(2(2(0(2(2(1(0(0(0(1(0(2(1(1(1(z0))))))))))))))))))))))) -> c10(0'(1(0(0(2(0(1(1(2(2(0(0(1(0(2(0(1(1(1(1(1(2(2(2(z0)))))))))))))))))))))))), 1'(0(0(2(0(1(1(2(2(0(0(1(0(2(0(1(1(1(1(1(2(2(2(z0))))))))))))))))))))))), 0'(0(2(0(1(1(2(2(0(0(1(0(2(0(1(1(1(1(1(2(2(2(z0)))))))))))))))))))))), 0'(2(0(1(1(2(2(0(0(1(0(2(0(1(1(1(1(1(2(2(2(z0))))))))))))))))))))), 2'(0(1(1(2(2(0(0(1(0(2(0(1(1(1(1(1(2(2(2(z0)))))))))))))))))))), 0'(1(1(2(2(0(0(1(0(2(0(1(1(1(1(1(2(2(2(z0))))))))))))))))))), 1'(1(2(2(0(0(1(0(2(0(1(1(1(1(1(2(2(2(z0)))))))))))))))))), 1'(2(2(0(0(1(0(2(0(1(1(1(1(1(2(2(2(z0))))))))))))))))), 2'(2(0(0(1(0(2(0(1(1(1(1(1(2(2(2(z0)))))))))))))))), 2'(0(0(1(0(2(0(1(1(1(1(1(2(2(2(z0))))))))))))))), 0'(0(1(0(2(0(1(1(1(1(1(2(2(2(z0)))))))))))))), 0'(1(0(2(0(1(1(1(1(1(2(2(2(z0))))))))))))), 1'(0(2(0(1(1(1(1(1(2(2(2(z0)))))))))))), 0'(2(0(1(1(1(1(1(2(2(2(z0))))))))))), 2'(0(1(1(1(1(1(2(2(2(z0)))))))))), 0'(1(1(1(1(1(2(2(2(z0))))))))), 1'(1(1(1(1(2(2(2(z0)))))))), 1'(1(1(1(2(2(2(z0))))))), 1'(1(1(2(2(2(z0)))))), 1'(1(2(2(2(z0))))), 1'(2(2(2(z0)))), 2'(2(2(z0))), 2'(2(z0)), 2'(z0)) 0'(0(0(2(2(0(2(1(1(0(0(2(2(1(2(0(1(0(1(0(1(1(0(0(z0)))))))))))))))))))))))) -> c11(0'(0(1(0(2(0(0(1(2(2(2(2(2(1(0(1(2(1(2(0(1(1(1(1(1(z0))))))))))))))))))))))))), 0'(1(0(2(0(0(1(2(2(2(2(2(1(0(1(2(1(2(0(1(1(1(1(1(z0)))))))))))))))))))))))), 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2'(2(1(1(0(2(1(1(1(2(1(2(2(2(2(1(2(1(0(2(2(z0))))))))))))))))))))) -> c29(1'(2(1(2(2(0(0(2(0(0(0(2(2(1(0(2(0(0(2(0(2(1(z0)))))))))))))))))))))), 2'(1(2(2(0(0(2(0(0(0(2(2(1(0(2(0(0(2(0(2(1(z0))))))))))))))))))))), 1'(2(2(0(0(2(0(0(0(2(2(1(0(2(0(0(2(0(2(1(z0)))))))))))))))))))), 2'(2(0(0(2(0(0(0(2(2(1(0(2(0(0(2(0(2(1(z0))))))))))))))))))), 2'(0(0(2(0(0(0(2(2(1(0(2(0(0(2(0(2(1(z0)))))))))))))))))), 0'(0(2(0(0(0(2(2(1(0(2(0(0(2(0(2(1(z0))))))))))))))))), 0'(2(0(0(0(2(2(1(0(2(0(0(2(0(2(1(z0)))))))))))))))), 2'(0(0(0(2(2(1(0(2(0(0(2(0(2(1(z0))))))))))))))), 0'(0(0(2(2(1(0(2(0(0(2(0(2(1(z0)))))))))))))), 0'(0(2(2(1(0(2(0(0(2(0(2(1(z0))))))))))))), 0'(2(2(1(0(2(0(0(2(0(2(1(z0)))))))))))), 2'(2(1(0(2(0(0(2(0(2(1(z0))))))))))), 2'(1(0(2(0(0(2(0(2(1(z0)))))))))), 1'(0(2(0(0(2(0(2(1(z0))))))))), 0'(2(0(0(2(0(2(1(z0)))))))), 2'(0(0(2(0(2(1(z0))))))), 0'(0(2(0(2(1(z0)))))), 0'(2(0(2(1(z0))))), 2'(0(2(1(z0)))), 0'(2(1(z0))), 2'(1(z0)), 1'(z0)) 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1'(0(2(1(2(0(1(z0))))))), 0'(2(1(2(0(1(z0)))))), 2'(1(2(0(1(z0))))), 1'(2(0(1(z0)))), 2'(0(1(z0))), 0'(1(z0)), 1'(z0)) 2'(1(0(0(1(1(0(2(2(0(1(0(0(1(2(0(2(1(2(0(1(0(0(0(z0)))))))))))))))))))))))) -> c32(2'(1(1(0(1(2(0(0(2(0(2(0(2(1(0(1(2(0(1(0(2(1(1(2(0(0(z0)))))))))))))))))))))))))), 1'(1(0(1(2(0(0(2(0(2(0(2(1(0(1(2(0(1(0(2(1(1(2(0(0(z0))))))))))))))))))))))))), 1'(0(1(2(0(0(2(0(2(0(2(1(0(1(2(0(1(0(2(1(1(2(0(0(z0)))))))))))))))))))))))), 0'(1(2(0(0(2(0(2(0(2(1(0(1(2(0(1(0(2(1(1(2(0(0(z0))))))))))))))))))))))), 1'(2(0(0(2(0(2(0(2(1(0(1(2(0(1(0(2(1(1(2(0(0(z0)))))))))))))))))))))), 2'(0(0(2(0(2(0(2(1(0(1(2(0(1(0(2(1(1(2(0(0(z0))))))))))))))))))))), 0'(0(2(0(2(0(2(1(0(1(2(0(1(0(2(1(1(2(0(0(z0)))))))))))))))))))), 0'(2(0(2(0(2(1(0(1(2(0(1(0(2(1(1(2(0(0(z0))))))))))))))))))), 2'(0(2(0(2(1(0(1(2(0(1(0(2(1(1(2(0(0(z0)))))))))))))))))), 0'(2(0(2(1(0(1(2(0(1(0(2(1(1(2(0(0(z0))))))))))))))))), 2'(0(2(1(0(1(2(0(1(0(2(1(1(2(0(0(z0)))))))))))))))), 0'(2(1(0(1(2(0(1(0(2(1(1(2(0(0(z0))))))))))))))), 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0'(2(1(0(2(2(2(0(0(2(2(2(2(0(0(0(2(0(1(2(0(0(0(z0))))))))))))))))))))))), 2'(1(0(2(2(2(0(0(2(2(2(2(0(0(0(2(0(1(2(0(0(0(z0)))))))))))))))))))))), 1'(0(2(2(2(0(0(2(2(2(2(0(0(0(2(0(1(2(0(0(0(z0))))))))))))))))))))), 0'(2(2(2(0(0(2(2(2(2(0(0(0(2(0(1(2(0(0(0(z0)))))))))))))))))))), 2'(2(2(0(0(2(2(2(2(0(0(0(2(0(1(2(0(0(0(z0))))))))))))))))))), 2'(2(0(0(2(2(2(2(0(0(0(2(0(1(2(0(0(0(z0)))))))))))))))))), 2'(0(0(2(2(2(2(0(0(0(2(0(1(2(0(0(0(z0))))))))))))))))), 0'(0(2(2(2(2(0(0(0(2(0(1(2(0(0(0(z0)))))))))))))))), 0'(2(2(2(2(0(0(0(2(0(1(2(0(0(0(z0))))))))))))))), 2'(2(2(2(0(0(0(2(0(1(2(0(0(0(z0)))))))))))))), 2'(2(2(0(0(0(2(0(1(2(0(0(0(z0))))))))))))), 2'(2(0(0(0(2(0(1(2(0(0(0(z0)))))))))))), 2'(0(0(0(2(0(1(2(0(0(0(z0))))))))))), 0'(0(0(2(0(1(2(0(0(0(z0)))))))))), 0'(0(2(0(1(2(0(0(0(z0))))))))), 0'(2(0(1(2(0(0(0(z0)))))))), 2'(0(1(2(0(0(0(z0))))))), 0'(1(2(0(0(0(z0)))))), 1'(2(0(0(0(z0))))), 0'(0(0(z0))), 0'(0(z0)), 0'(z0)) 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0'(1(2(0(1(1(1(1(2(2(0(2(2(1(0(0(0(1(0(2(1(1(1(z0))))))))))))))))))))))) -> c10(0'(1(0(0(2(0(1(1(2(2(0(0(1(0(2(0(1(1(1(1(1(2(2(2(z0)))))))))))))))))))))))), 1'(0(0(2(0(1(1(2(2(0(0(1(0(2(0(1(1(1(1(1(2(2(2(z0))))))))))))))))))))))), 0'(0(2(0(1(1(2(2(0(0(1(0(2(0(1(1(1(1(1(2(2(2(z0)))))))))))))))))))))), 0'(2(0(1(1(2(2(0(0(1(0(2(0(1(1(1(1(1(2(2(2(z0))))))))))))))))))))), 2'(0(1(1(2(2(0(0(1(0(2(0(1(1(1(1(1(2(2(2(z0)))))))))))))))))))), 0'(1(1(2(2(0(0(1(0(2(0(1(1(1(1(1(2(2(2(z0))))))))))))))))))), 1'(1(2(2(0(0(1(0(2(0(1(1(1(1(1(2(2(2(z0)))))))))))))))))), 1'(2(2(0(0(1(0(2(0(1(1(1(1(1(2(2(2(z0))))))))))))))))), 2'(2(0(0(1(0(2(0(1(1(1(1(1(2(2(2(z0)))))))))))))))), 2'(0(0(1(0(2(0(1(1(1(1(1(2(2(2(z0))))))))))))))), 0'(0(1(0(2(0(1(1(1(1(1(2(2(2(z0)))))))))))))), 0'(1(0(2(0(1(1(1(1(1(2(2(2(z0))))))))))))), 1'(0(2(0(1(1(1(1(1(2(2(2(z0)))))))))))), 0'(2(0(1(1(1(1(1(2(2(2(z0))))))))))), 2'(0(1(1(1(1(1(2(2(2(z0)))))))))), 0'(1(1(1(1(1(2(2(2(z0))))))))), 1'(1(1(1(1(2(2(2(z0)))))))), 1'(1(1(1(2(2(2(z0))))))), 1'(1(1(2(2(2(z0)))))), 1'(1(2(2(2(z0))))), 1'(2(2(2(z0)))), 2'(2(2(z0))), 2'(2(z0)), 2'(z0)) 0'(0(0(2(2(0(2(1(1(0(0(2(2(1(2(0(1(0(1(0(1(1(0(0(z0)))))))))))))))))))))))) -> c11(0'(0(1(0(2(0(0(1(2(2(2(2(2(1(0(1(2(1(2(0(1(1(1(1(1(z0))))))))))))))))))))))))), 0'(1(0(2(0(0(1(2(2(2(2(2(1(0(1(2(1(2(0(1(1(1(1(1(z0)))))))))))))))))))))))), 1'(0(2(0(0(1(2(2(2(2(2(1(0(1(2(1(2(0(1(1(1(1(1(z0))))))))))))))))))))))), 0'(2(0(0(1(2(2(2(2(2(1(0(1(2(1(2(0(1(1(1(1(1(z0)))))))))))))))))))))), 2'(0(0(1(2(2(2(2(2(1(0(1(2(1(2(0(1(1(1(1(1(z0))))))))))))))))))))), 0'(0(1(2(2(2(2(2(1(0(1(2(1(2(0(1(1(1(1(1(z0)))))))))))))))))))), 0'(1(2(2(2(2(2(1(0(1(2(1(2(0(1(1(1(1(1(z0))))))))))))))))))), 1'(2(2(2(2(2(1(0(1(2(1(2(0(1(1(1(1(1(z0)))))))))))))))))), 2'(2(2(2(2(1(0(1(2(1(2(0(1(1(1(1(1(z0))))))))))))))))), 2'(2(2(2(1(0(1(2(1(2(0(1(1(1(1(1(z0)))))))))))))))), 2'(2(2(1(0(1(2(1(2(0(1(1(1(1(1(z0))))))))))))))), 2'(2(1(0(1(2(1(2(0(1(1(1(1(1(z0)))))))))))))), 2'(1(0(1(2(1(2(0(1(1(1(1(1(z0))))))))))))), 1'(0(1(2(1(2(0(1(1(1(1(1(z0)))))))))))), 0'(1(2(1(2(0(1(1(1(1(1(z0))))))))))), 1'(2(1(2(0(1(1(1(1(1(z0)))))))))), 2'(1(2(0(1(1(1(1(1(z0))))))))), 1'(2(0(1(1(1(1(1(z0)))))))), 2'(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)) 0'(1(0(0(2(2(0(1(0(1(2(1(2(2(2(1(0(1(2(1(0(1(1(1(2(0(2(1(z0)))))))))))))))))))))))))))) -> c12(0'(0(2(0(0(2(2(0(0(1(1(2(1(1(1(2(0(0(1(1(2(0(2(0(2(2(1(2(2(z0))))))))))))))))))))))))))))), 0'(2(0(0(2(2(0(0(1(1(2(1(1(1(2(0(0(1(1(2(0(2(0(2(2(1(2(2(z0)))))))))))))))))))))))))))), 2'(0(0(2(2(0(0(1(1(2(1(1(1(2(0(0(1(1(2(0(2(0(2(2(1(2(2(z0))))))))))))))))))))))))))), 0'(0(2(2(0(0(1(1(2(1(1(1(2(0(0(1(1(2(0(2(0(2(2(1(2(2(z0)))))))))))))))))))))))))), 0'(2(2(0(0(1(1(2(1(1(1(2(0(0(1(1(2(0(2(0(2(2(1(2(2(z0))))))))))))))))))))))))), 2'(2(0(0(1(1(2(1(1(1(2(0(0(1(1(2(0(2(0(2(2(1(2(2(z0)))))))))))))))))))))))), 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0'(0(2(0(2(1(1(2(0(2(1(1(2(0(1(0(1(2(1(1(1(0(0(0(0(2(2(1(2(0(z0)))))))))))))))))))))))))))))) -> c13(0'(0(2(0(1(1(1(0(0(2(1(1(2(0(0(2(2(0(1(1(1(2(0(2(0(2(1(2(1(0(z0)))))))))))))))))))))))))))))), 0'(2(0(1(1(1(0(0(2(1(1(2(0(0(2(2(0(1(1(1(2(0(2(0(2(1(2(1(0(z0))))))))))))))))))))))))))))), 2'(0(1(1(1(0(0(2(1(1(2(0(0(2(2(0(1(1(1(2(0(2(0(2(1(2(1(0(z0)))))))))))))))))))))))))))), 0'(1(1(1(0(0(2(1(1(2(0(0(2(2(0(1(1(1(2(0(2(0(2(1(2(1(0(z0))))))))))))))))))))))))))), 1'(1(1(0(0(2(1(1(2(0(0(2(2(0(1(1(1(2(0(2(0(2(1(2(1(0(z0)))))))))))))))))))))))))), 1'(1(0(0(2(1(1(2(0(0(2(2(0(1(1(1(2(0(2(0(2(1(2(1(0(z0))))))))))))))))))))))))), 1'(0(0(2(1(1(2(0(0(2(2(0(1(1(1(2(0(2(0(2(1(2(1(0(z0)))))))))))))))))))))))), 0'(0(2(1(1(2(0(0(2(2(0(1(1(1(2(0(2(0(2(1(2(1(0(z0))))))))))))))))))))))), 0'(2(1(1(2(0(0(2(2(0(1(1(1(2(0(2(0(2(1(2(1(0(z0)))))))))))))))))))))), 2'(1(1(2(0(0(2(2(0(1(1(1(2(0(2(0(2(1(2(1(0(z0))))))))))))))))))))), 1'(1(2(0(0(2(2(0(1(1(1(2(0(2(0(2(1(2(1(0(z0)))))))))))))))))))), 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1'(0(2(1(0(0(1(0(1(2(z0)))))))))) -> c62(1'(2(0(0(1(1(0(0(1(2(z0)))))))))), 2'(0(0(1(1(0(0(1(2(z0))))))))), 0'(0(1(1(0(0(1(2(z0)))))))), 0'(1(1(0(0(1(2(z0))))))), 1'(1(0(0(1(2(z0)))))), 1'(0(0(1(2(z0))))), 0'(1(2(z0))), 1'(2(z0)), 2'(z0)) 1'(1(0(1(1(1(1(0(1(0(0(2(1(1(2(0(0(1(1(0(2(0(0(0(z0)))))))))))))))))))))))) -> c66(2'(0(0(2(1(0(2(2(2(0(0(2(2(2(2(0(0(0(2(0(1(2(0(0(0(z0))))))))))))))))))))))))), 0'(0(2(1(0(2(2(2(0(0(2(2(2(2(0(0(0(2(0(1(2(0(0(0(z0)))))))))))))))))))))))), 0'(2(1(0(2(2(2(0(0(2(2(2(2(0(0(0(2(0(1(2(0(0(0(z0))))))))))))))))))))))), 2'(1(0(2(2(2(0(0(2(2(2(2(0(0(0(2(0(1(2(0(0(0(z0)))))))))))))))))))))), 1'(0(2(2(2(0(0(2(2(2(2(0(0(0(2(0(1(2(0(0(0(z0))))))))))))))))))))), 0'(2(2(2(0(0(2(2(2(2(0(0(0(2(0(1(2(0(0(0(z0)))))))))))))))))))), 2'(2(2(0(0(2(2(2(2(0(0(0(2(0(1(2(0(0(0(z0))))))))))))))))))), 2'(2(0(0(2(2(2(2(0(0(0(2(0(1(2(0(0(0(z0)))))))))))))))))), 2'(0(0(2(2(2(2(0(0(0(2(0(1(2(0(0(0(z0))))))))))))))))), 0'(0(2(2(2(2(0(0(0(2(0(1(2(0(0(0(z0)))))))))))))))), 0'(2(2(2(2(0(0(0(2(0(1(2(0(0(0(z0))))))))))))))), 2'(2(2(2(0(0(0(2(0(1(2(0(0(0(z0)))))))))))))), 2'(2(2(0(0(0(2(0(1(2(0(0(0(z0))))))))))))), 2'(2(0(0(0(2(0(1(2(0(0(0(z0)))))))))))), 2'(0(0(0(2(0(1(2(0(0(0(z0))))))))))), 0'(0(0(2(0(1(2(0(0(0(z0)))))))))), 0'(0(2(0(1(2(0(0(0(z0))))))))), 0'(2(0(1(2(0(0(0(z0)))))))), 2'(0(1(2(0(0(0(z0))))))), 0'(1(2(0(0(0(z0)))))), 1'(2(0(0(0(z0))))), 0'(0(0(z0))), 0'(0(z0)), 0'(z0)) 1'(2(1(1(0(2(2(0(1(2(2(0(2(0(0(1(1(0(1(2(2(2(0(2(2(0(0(0(0(1(1(0(1(0(0(0(1(2(1(2(2(2(0(0(z0)))))))))))))))))))))))))))))))))))))))))))) -> c80(2'(2(2(0(0(z0))))), 2'(2(0(0(z0)))), 0'(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_9, c7_11, c8_16, c9_18, c10_24, c11_25, c12_29, c13_30, c14_31, c15_32, c16_32, c17_35, c18_37, c19_39, c20_38, c21_43, c22_42, c23_45, c24_43, c25_46, c26_8, c27_14, c28_22, c29_22, c30_23, c31_23, c34_29, c35_29, c36_31, c37_35, c38_36, c39_36, c40_35, c41_35, c42_36, c43_37, c44_39, c45_40, c46_42, c47_39, c48_41, c49_40, c50_40, c51_40, c52_42, c54_43, c55_43, c56_44, c57_46, c58_50, c59_49, c60_49, c61_9, c63_13, c64_20, c65_22, c67_27, c68_29, c69_31, c70_31, c71_32, c72_37, c74_37, c75_37, c76_39, c77_41, c78_43, c79_45, c32_25, c33_4, c62_9, c66_24, c80_4 ---------------------------------------- (41) CdtGraphSplitRhsProof (BOTH BOUNDS(ID, ID)) Split RHS of tuples not part of any SCC ---------------------------------------- (42) 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(0(1(1(0(0(0(1(z0)))))))) -> 0(2(0(1(0(1(1(1(1(z0))))))))) 0(1(2(1(1(1(0(2(0(2(z0)))))))))) -> 0(2(0(2(0(2(0(2(0(1(2(z0))))))))))) 0(1(0(1(2(0(0(1(0(0(1(2(1(0(1(0(z0)))))))))))))))) -> 0(1(1(1(1(2(0(2(1(0(0(0(1(0(0(0(z0)))))))))))))))) 0(1(0(1(1(0(1(2(2(1(1(1(0(2(1(1(1(z0))))))))))))))))) -> 0(2(1(1(0(2(2(0(2(2(0(0(2(0(1(2(1(2(z0)))))))))))))))))) 0(1(2(0(1(1(1(1(2(2(0(2(2(1(0(0(0(1(0(2(1(1(1(z0))))))))))))))))))))))) -> 0(1(0(0(2(0(1(1(2(2(0(0(1(0(2(0(1(1(1(1(1(2(2(2(z0)))))))))))))))))))))))) 0(0(0(2(2(0(2(1(1(0(0(2(2(1(2(0(1(0(1(0(1(1(0(0(z0)))))))))))))))))))))))) -> 0(0(1(0(2(0(0(1(2(2(2(2(2(1(0(1(2(1(2(0(1(1(1(1(1(z0))))))))))))))))))))))))) 0(1(0(0(2(2(0(1(0(1(2(1(2(2(2(1(0(1(2(1(0(1(1(1(2(0(2(1(z0)))))))))))))))))))))))))))) -> 0(0(2(0(0(2(2(0(0(1(1(2(1(1(1(2(0(0(1(1(2(0(2(0(2(2(1(2(2(z0))))))))))))))))))))))))))))) 0(0(2(0(2(1(1(2(0(2(1(1(2(0(1(0(1(2(1(1(1(0(0(0(0(2(2(1(2(0(z0)))))))))))))))))))))))))))))) -> 0(0(2(0(1(1(1(0(0(2(1(1(2(0(0(2(2(0(1(1(1(2(0(2(0(2(1(2(1(0(z0)))))))))))))))))))))))))))))) 0(1(0(1(0(2(1(1(0(1(2(0(0(1(2(2(0(2(0(2(1(2(1(2(2(0(2(2(1(2(z0)))))))))))))))))))))))))))))) -> 0(2(2(1(0(0(0(2(2(1(0(2(0(2(0(1(2(0(1(2(0(1(2(0(2(0(1(2(1(2(1(z0))))))))))))))))))))))))))))))) 0(1(0(0(2(1(0(1(1(1(1(1(0(1(0(1(0(2(2(0(2(2(1(2(2(2(1(0(0(2(2(z0))))))))))))))))))))))))))))))) -> 0(0(2(1(1(2(0(1(2(2(2(0(2(1(2(2(0(2(1(0(0(1(2(0(0(2(0(1(0(2(0(2(z0)))))))))))))))))))))))))))))))) 0(0(1(1(1(1(2(2(0(0(2(1(2(2(1(0(2(1(0(0(1(1(0(2(0(2(2(2(2(0(2(1(z0)))))))))))))))))))))))))))))))) -> 0(0(1(1(1(2(1(2(2(0(0(1(2(2(1(2(2(1(2(0(1(0(2(0(0(2(0(2(1(0(2(1(z0)))))))))))))))))))))))))))))))) 0(2(1(2(0(1(2(1(1(1(2(0(0(0(0(1(2(1(0(0(2(2(2(0(1(2(0(2(1(1(2(2(1(2(1(z0))))))))))))))))))))))))))))))))))) -> 0(2(1(2(0(2(0(1(0(1(0(0(1(2(0(2(2(1(0(2(1(2(0(0(1(2(1(2(2(2(1(2(1(1(1(z0))))))))))))))))))))))))))))))))))) 0(2(2(2(1(2(0(2(1(0(1(2(2(0(1(1(0(2(0(0(1(2(2(2(0(0(2(0(2(2(1(0(0(1(0(0(z0)))))))))))))))))))))))))))))))))))) -> 0(0(0(2(0(0(0(2(2(2(0(1(0(2(1(2(2(0(1(2(2(0(0(0(1(0(0(0(2(0(1(1(0(2(0(2(0(z0))))))))))))))))))))))))))))))))))))) 0(0(0(1(0(0(1(2(1(0(2(0(2(1(1(2(2(2(1(1(0(2(2(2(2(2(0(0(0(1(0(1(0(0(0(1(0(z0))))))))))))))))))))))))))))))))))))) -> 0(1(1(0(2(1(1(1(0(2(0(1(2(0(0(0(2(2(1(0(2(2(2(1(1(1(2(1(0(2(1(1(0(1(2(0(1(1(1(z0))))))))))))))))))))))))))))))))))))))) 0(1(1(1(0(1(0(0(2(1(0(0(1(0(0(0(0(1(1(2(1(1(1(0(0(0(1(2(0(2(2(2(2(0(2(0(0(z0))))))))))))))))))))))))))))))))))))) -> 0(0(2(0(1(2(0(0(1(2(0(2(1(1(0(2(1(2(2(2(2(2(0(0(1(0(1(1(2(0(0(1(1(1(1(1(2(0(z0)))))))))))))))))))))))))))))))))))))) 0(2(0(0(1(0(0(2(2(2(0(1(1(1(1(2(2(0(0(0(0(2(0(1(2(1(0(1(2(1(2(2(2(0(0(0(0(1(0(0(z0)))))))))))))))))))))))))))))))))))))))) -> 0(1(0(0(2(0(2(0(0(2(1(0(0(2(2(1(1(2(2(2(1(2(0(1(1(2(0(2(0(2(1(2(0(2(0(1(2(0(2(1(0(0(1(z0))))))))))))))))))))))))))))))))))))))))))) 0(2(1(1(1(0(2(1(1(0(0(2(1(0(2(1(1(0(2(2(1(0(2(0(1(0(2(1(0(1(1(2(2(1(0(1(2(2(0(0(z0)))))))))))))))))))))))))))))))))))))))) -> 0(2(1(2(2(2(2(1(1(1(1(1(2(0(0(2(0(2(0(0(2(1(1(1(0(2(0(2(2(2(1(1(1(0(0(0(1(2(2(0(2(0(z0)))))))))))))))))))))))))))))))))))))))))) 0(2(2(0(1(2(0(0(0(2(2(2(1(2(2(2(1(0(0(0(2(0(2(1(1(0(2(1(2(0(1(0(2(1(2(0(2(1(0(1(0(1(z0)))))))))))))))))))))))))))))))))))))))))) -> 0(1(1(1(2(0(0(0(0(1(1(2(0(2(0(2(0(0(0(2(2(0(0(0(0(2(2(0(1(1(0(0(1(2(1(2(0(1(2(0(0(2(0(0(0(z0))))))))))))))))))))))))))))))))))))))))))))) 0(2(2(2(0(1(1(2(1(1(2(2(1(1(1(2(2(1(1(1(1(0(2(1(1(0(0(2(0(1(2(2(1(1(0(0(0(1(1(0(0(0(z0)))))))))))))))))))))))))))))))))))))))))) -> 0(0(1(0(2(2(0(2(0(0(2(0(2(0(1(2(0(2(0(2(0(0(1(1(2(1(0(1(0(1(2(2(0(2(2(1(0(0(2(0(2(1(0(z0))))))))))))))))))))))))))))))))))))))))))) 0(2(1(2(0(2(1(1(2(2(0(2(1(2(2(0(0(0(1(1(1(0(2(2(2(2(2(2(2(2(2(1(1(1(2(1(0(1(1(0(0(0(2(0(0(z0))))))))))))))))))))))))))))))))))))))))))))) -> 0(2(2(0(2(2(2(0(0(2(2(1(0(1(0(0(2(2(1(1(0(2(2(0(2(2(2(0(1(2(0(0(2(0(2(0(2(1(1(2(2(1(2(1(1(0(z0)))))))))))))))))))))))))))))))))))))))))))))) 2(2(0(0(2(1(0(1(z0)))))))) -> 1(2(2(0(0(1(2(0(z0)))))))) 2(1(2(0(0(0(0(1(2(0(1(1(1(z0))))))))))))) -> 0(0(2(0(2(0(0(2(0(0(0(1(1(1(z0)))))))))))))) 2(1(1(1(0(0(1(2(1(0(0(2(1(0(1(1(0(1(1(0(z0)))))))))))))))))))) -> 1(0(2(1(0(2(0(2(2(0(0(2(0(0(0(2(0(1(1(1(2(0(z0)))))))))))))))))))))) 2(2(1(1(0(2(1(1(1(2(1(2(2(2(2(1(2(1(0(2(2(z0))))))))))))))))))))) -> 1(2(1(2(2(0(0(2(0(0(0(2(2(1(0(2(0(0(2(0(2(1(z0)))))))))))))))))))))) 2(1(2(2(0(2(2(0(0(2(1(1(2(2(1(2(2(0(1(0(1(1(z0)))))))))))))))))))))) -> 1(0(1(1(2(1(1(2(1(0(0(0(1(0(0(2(0(0(2(0(1(0(1(z0))))))))))))))))))))))) 2(2(0(0(0(1(0(2(1(0(1(0(0(0(1(0(2(2(2(1(0(0(0(z0))))))))))))))))))))))) -> 0(0(2(0(0(1(2(0(0(1(1(0(2(0(2(2(0(1(0(2(1(0(0(z0))))))))))))))))))))))) 2(1(0(0(1(1(0(2(2(0(1(0(0(1(2(0(2(1(2(0(1(0(0(0(z0)))))))))))))))))))))))) -> 2(1(1(0(1(2(0(0(2(0(2(0(2(1(0(1(2(0(1(0(2(1(1(2(0(0(z0)))))))))))))))))))))))))) 2(2(2(1(0(0(2(0(1(0(2(1(0(2(1(0(0(1(1(0(0(0(2(0(2(z0))))))))))))))))))))))))) -> 1(0(2(0(1(0(1(0(2(0(1(1(1(2(1(0(2(0(2(0(2(2(0(0(2(0(2(z0))))))))))))))))))))))))))) 2(1(1(1(0(1(0(0(1(0(1(1(0(1(0(2(0(0(0(1(1(1(2(2(0(1(2(2(z0)))))))))))))))))))))))))))) -> 2(0(0(1(2(1(1(2(0(2(0(1(1(1(1(2(0(1(2(1(2(2(2(2(2(2(0(2(2(z0))))))))))))))))))))))))))))) 2(1(1(0(0(0(1(1(2(2(1(2(1(2(1(2(2(0(1(0(0(0(1(2(0(0(1(1(2(z0))))))))))))))))))))))))))))) -> 0(2(1(2(2(0(1(0(1(2(0(0(1(1(1(0(1(1(1(1(2(0(2(2(0(2(1(0(2(z0))))))))))))))))))))))))))))) 2(2(0(1(2(1(2(1(0(2(1(1(0(0(1(0(1(2(1(1(0(1(0(2(1(1(2(0(0(0(z0)))))))))))))))))))))))))))))) -> 1(0(0(1(0(0(2(1(2(2(1(0(2(1(2(2(1(0(1(1(2(1(0(2(0(1(2(2(0(2(0(z0))))))))))))))))))))))))))))))) 2(1(0(1(2(2(0(1(0(0(0(2(1(1(0(1(2(1(1(0(0(2(2(0(1(1(1(2(1(1(1(1(2(1(z0)))))))))))))))))))))))))))))))))) -> 2(0(0(2(0(0(1(2(0(2(2(0(2(2(2(0(0(0(1(0(2(0(0(1(2(0(0(2(0(1(2(0(0(1(0(z0))))))))))))))))))))))))))))))))))) 2(1(1(1(2(2(0(2(0(0(0(0(1(1(2(0(2(2(0(0(2(2(2(0(0(2(1(0(2(1(0(2(1(2(z0)))))))))))))))))))))))))))))))))) -> 1(0(2(0(2(0(0(0(0(2(2(0(0(2(0(0(2(0(2(1(0(0(2(0(1(2(0(0(0(1(2(1(1(2(0(2(z0)))))))))))))))))))))))))))))))))))) 2(1(1(2(2(0(1(1(0(2(1(0(1(1(0(2(1(1(1(0(1(0(2(1(0(2(1(1(1(0(1(0(0(1(z0)))))))))))))))))))))))))))))))))) -> 0(1(2(0(1(2(0(2(0(2(1(2(0(0(1(2(1(1(2(0(0(1(2(2(1(2(1(0(0(1(2(1(0(0(0(0(z0)))))))))))))))))))))))))))))))))))) 2(1(2(1(2(2(2(0(2(2(0(2(2(1(2(1(1(0(0(1(0(1(0(2(1(1(0(2(0(0(2(1(1(1(z0)))))))))))))))))))))))))))))))))) -> 1(2(2(2(0(2(0(2(1(2(0(0(0(1(1(0(1(2(0(0(0(2(0(0(0(1(0(2(2(2(2(1(0(2(2(z0))))))))))))))))))))))))))))))))))) 2(2(2(0(1(1(1(1(1(1(0(2(1(1(0(0(0(1(1(2(2(2(2(2(2(2(2(0(0(1(0(2(0(1(z0)))))))))))))))))))))))))))))))))) -> 0(1(0(0(1(0(0(1(2(0(2(0(2(0(2(0(2(2(1(0(2(1(1(1(1(1(1(0(1(0(1(1(0(0(0(z0))))))))))))))))))))))))))))))))))) 2(1(0(2(1(0(2(2(2(2(0(0(0(1(1(1(2(2(0(2(2(2(0(1(0(2(1(0(1(1(2(2(2(0(0(z0))))))))))))))))))))))))))))))))))) -> 0(2(0(1(2(1(1(0(2(2(0(0(0(0(2(0(1(0(2(1(2(2(0(1(0(1(0(1(2(0(0(2(2(0(1(0(z0)))))))))))))))))))))))))))))))))))) 2(2(2(1(0(0(1(0(0(1(2(1(1(2(1(2(0(1(1(0(1(2(0(1(2(2(1(0(1(0(0(1(2(1(1(z0))))))))))))))))))))))))))))))))))) -> 0(0(2(0(0(0(1(2(1(2(0(1(1(0(2(0(1(0(1(2(0(0(1(1(2(0(0(1(1(0(2(2(0(2(2(1(1(z0))))))))))))))))))))))))))))))))))))) 2(0(2(2(1(2(1(2(2(2(0(1(0(2(2(1(0(0(0(1(2(0(1(2(1(0(0(2(2(0(2(1(1(1(0(0(1(z0))))))))))))))))))))))))))))))))))))) -> 1(2(2(0(0(0(1(1(0(2(0(2(0(0(2(0(1(1(2(0(2(0(1(2(1(2(1(2(1(0(2(2(2(1(0(1(0(1(0(z0))))))))))))))))))))))))))))))))))))))) 2(1(2(1(2(1(2(1(0(1(0(2(2(0(0(1(2(2(1(2(1(0(1(0(2(1(2(2(2(1(1(1(2(0(1(1(0(z0))))))))))))))))))))))))))))))))))))) -> 1(0(1(2(1(2(1(2(2(2(1(0(2(1(0(0(2(0(0(0(2(0(1(0(1(1(2(2(0(1(1(0(2(0(0(2(0(1(0(1(z0)))))))))))))))))))))))))))))))))))))))) 2(2(1(2(1(1(0(0(0(0(1(2(1(1(1(0(0(1(1(0(0(2(0(1(1(1(0(2(2(1(2(0(0(1(0(0(1(z0))))))))))))))))))))))))))))))))))))) -> 2(0(1(2(0(2(0(1(1(0(0(1(0(1(0(2(0(1(0(2(2(2(1(2(1(0(2(0(2(0(0(2(0(1(1(1(2(0(0(2(1(0(z0)))))))))))))))))))))))))))))))))))))))))) 2(1(2(1(2(1(1(0(2(0(2(1(2(2(2(1(1(2(0(0(1(0(1(1(2(1(1(2(0(1(2(2(1(1(0(0(1(1(z0)))))))))))))))))))))))))))))))))))))) -> 2(1(0(2(2(1(0(0(0(2(2(2(1(2(0(1(0(0(1(0(0(0(2(1(1(0(0(2(0(1(2(0(2(2(1(0(2(0(0(z0))))))))))))))))))))))))))))))))))))))) 2(1(0(0(1(0(0(1(2(2(0(2(2(1(0(0(0(2(2(1(1(2(0(1(2(0(0(1(2(0(2(1(0(2(2(0(1(1(1(z0))))))))))))))))))))))))))))))))))))))) -> 2(1(2(0(0(1(2(0(1(2(0(0(0(2(2(0(2(0(1(0(0(0(2(0(0(2(2(0(2(2(2(0(0(2(0(1(0(2(0(1(0(z0))))))))))))))))))))))))))))))))))))))))) 2(2(2(0(0(2(0(2(1(2(1(2(1(0(1(1(2(1(1(2(0(1(0(1(0(0(1(1(2(1(1(2(2(1(1(1(1(0(1(z0))))))))))))))))))))))))))))))))))))))) -> 1(0(2(1(1(2(1(1(2(0(0(2(2(0(2(0(1(2(1(0(2(0(1(2(1(2(2(2(2(0(2(2(2(1(0(2(0(0(1(1(z0)))))))))))))))))))))))))))))))))))))))) 2(2(2(0(2(1(2(1(0(0(0(0(1(2(2(1(0(2(2(1(1(0(0(0(2(0(0(0(1(0(2(1(2(2(1(1(0(2(1(z0))))))))))))))))))))))))))))))))))))))) -> 1(2(0(1(1(2(0(2(2(0(2(1(0(2(0(2(0(1(1(0(1(2(2(1(0(1(0(0(0(2(0(2(2(1(0(0(0(1(0(1(z0)))))))))))))))))))))))))))))))))))))))) 2(1(0(0(1(0(2(2(1(1(1(0(1(2(0(1(0(2(1(0(0(2(2(1(1(1(2(2(0(0(0(0(1(1(2(1(0(1(2(2(z0)))))))))))))))))))))))))))))))))))))))) -> 2(2(0(0(1(2(0(2(1(2(1(1(1(2(2(1(0(0(1(0(0(2(0(1(2(1(2(1(0(2(0(2(0(1(1(1(0(1(1(0(z0)))))))))))))))))))))))))))))))))))))))) 2(1(2(0(1(0(0(1(1(0(2(1(1(0(1(2(1(1(2(1(0(2(2(2(1(1(1(0(1(0(2(0(1(2(1(1(0(2(2(0(z0)))))))))))))))))))))))))))))))))))))))) -> 2(0(0(2(0(0(1(2(2(2(2(2(1(2(0(2(0(1(2(1(0(0(1(1(0(1(1(1(2(0(2(0(2(1(0(1(2(0(1(2(0(1(z0)))))))))))))))))))))))))))))))))))))))))) 2(1(1(2(0(2(0(2(0(1(1(0(2(2(2(2(1(1(1(0(0(0(1(1(0(0(0(1(2(0(0(0(0(1(0(1(2(1(2(2(0(1(z0)))))))))))))))))))))))))))))))))))))))))) -> 2(2(2(0(0(1(2(0(0(2(0(1(1(0(2(0(1(2(0(1(0(0(2(0(2(1(1(0(2(1(0(0(2(2(1(2(2(2(0(1(1(2(0(2(0(z0))))))))))))))))))))))))))))))))))))))))))))) 2(1(2(0(0(2(1(0(1(2(1(2(0(0(0(0(1(1(1(0(2(0(1(0(2(1(2(1(2(0(2(1(1(1(1(0(1(0(0(1(1(0(z0)))))))))))))))))))))))))))))))))))))))))) -> 2(2(1(1(1(1(2(2(0(2(1(1(1(2(2(1(0(1(0(1(2(0(2(2(2(1(1(2(0(1(2(0(1(0(0(2(1(0(2(0(1(0(1(z0))))))))))))))))))))))))))))))))))))))))))) 2(2(0(2(2(1(2(0(2(2(2(1(1(0(2(1(1(1(2(2(0(1(0(1(0(1(0(0(1(2(0(0(2(2(0(0(2(1(1(1(1(2(z0)))))))))))))))))))))))))))))))))))))))))) -> 0(1(2(2(0(2(0(0(0(2(0(2(1(2(0(0(1(0(2(0(0(2(0(1(1(2(1(1(0(2(1(2(1(2(0(0(0(1(2(0(0(1(0(z0))))))))))))))))))))))))))))))))))))))))))) 2(2(2(2(0(2(2(2(2(0(1(2(1(1(0(2(1(1(2(1(0(1(0(1(0(0(0(0(2(0(0(1(2(1(2(1(1(0(0(1(2(0(1(z0))))))))))))))))))))))))))))))))))))))))))) -> 2(0(1(2(1(2(0(2(0(1(2(0(1(1(0(2(2(0(0(1(1(2(2(1(1(1(2(1(2(2(0(2(2(1(0(1(1(1(1(1(0(1(2(0(z0)))))))))))))))))))))))))))))))))))))))))))) 2(2(1(0(0(2(1(2(0(0(0(2(1(0(2(0(2(1(2(2(2(0(1(2(2(0(0(0(1(0(2(2(2(1(0(1(2(1(0(0(2(0(1(0(1(z0))))))))))))))))))))))))))))))))))))))))))))) -> 2(1(1(2(1(1(1(0(2(0(1(1(1(2(0(0(2(2(1(2(2(2(2(0(2(0(1(1(0(1(2(2(2(1(1(2(1(1(1(0(0(0(2(0(1(0(z0)))))))))))))))))))))))))))))))))))))))))))))) 2(0(1(1(2(0(0(1(1(1(0(0(0(2(0(0(1(0(0(1(0(0(0(2(1(2(1(0(1(1(1(1(0(0(1(1(0(2(0(2(2(1(0(2(1(1(0(z0))))))))))))))))))))))))))))))))))))))))))))))) -> 2(0(2(0(2(0(2(0(2(0(2(1(2(1(0(0(1(0(0(2(1(2(0(2(0(0(2(1(2(2(1(1(2(2(2(1(2(1(0(0(2(0(0(2(2(2(1(0(2(0(z0)))))))))))))))))))))))))))))))))))))))))))))))))) 2(1(2(0(2(2(0(2(0(0(1(0(1(0(0(1(0(2(2(1(0(2(1(1(0(2(1(1(0(1(2(2(0(0(0(1(2(1(2(0(1(1(1(2(1(1(0(z0))))))))))))))))))))))))))))))))))))))))))))))) -> 0(2(2(0(1(2(1(0(2(0(2(0(0(1(2(2(1(1(2(2(2(0(1(2(0(0(2(2(0(0(0(1(2(2(1(2(2(1(0(2(1(1(1(1(0(1(0(2(0(z0))))))))))))))))))))))))))))))))))))))))))))))))) 2(1(2(2(2(1(1(1(1(1(1(0(1(0(0(2(2(2(0(1(1(1(0(2(1(1(2(1(2(0(0(0(0(2(1(1(0(2(1(1(0(0(0(1(0(0(1(z0))))))))))))))))))))))))))))))))))))))))))))))) -> 0(2(2(2(1(2(1(2(0(1(1(1(1(1(2(2(0(0(0(2(2(2(1(1(0(1(1(0(1(1(1(2(0(0(2(0(1(1(2(2(2(1(0(2(2(2(2(2(0(z0))))))))))))))))))))))))))))))))))))))))))))))))) 1(2(1(0(0(1(2(1(1(z0))))))))) -> 1(0(2(0(1(1(2(1(1(z0))))))))) 1(0(2(1(0(0(1(0(1(2(z0)))))))))) -> 1(2(0(0(1(1(0(0(1(2(z0)))))))))) 1(1(0(1(2(2(2(2(0(2(1(1(z0)))))))))))) -> 1(1(0(1(2(2(0(2(0(1(2(2(2(z0))))))))))))) 1(2(0(1(0(0(0(1(2(2(1(1(2(0(1(0(1(1(0(z0))))))))))))))))))) -> 2(0(2(1(0(2(2(2(0(0(0(2(2(2(2(0(2(0(2(0(z0)))))))))))))))))))) 1(0(1(0(2(2(2(2(0(1(1(0(1(2(2(0(2(1(0(1(1(z0))))))))))))))))))))) -> 2(0(0(0(2(2(1(2(0(2(0(1(0(0(2(0(2(0(0(2(1(0(z0)))))))))))))))))))))) 1(1(0(1(1(1(1(0(1(0(0(2(1(1(2(0(0(1(1(0(2(0(0(0(z0)))))))))))))))))))))))) -> 2(0(0(2(1(0(2(2(2(0(0(2(2(2(2(0(0(0(2(0(1(2(0(0(0(z0))))))))))))))))))))))))) 1(0(0(1(2(0(0(0(1(1(1(1(2(2(2(2(2(1(1(2(1(0(1(0(1(0(z0)))))))))))))))))))))))))) -> 1(0(1(0(2(2(0(2(0(1(1(2(2(1(2(2(2(2(0(0(1(1(0(1(0(2(0(z0))))))))))))))))))))))))))) 1(2(1(0(0(1(1(0(1(0(2(1(2(0(2(0(1(1(2(1(2(0(1(1(0(0(0(1(z0)))))))))))))))))))))))))))) -> 1(1(1(1(2(0(2(0(0(1(2(0(0(0(0(2(2(1(0(0(2(0(1(2(0(1(2(0(0(z0))))))))))))))))))))))))))))) 1(2(0(0(0(2(0(1(1(2(2(0(0(2(2(0(2(1(1(1(2(1(1(1(0(1(2(1(2(1(z0)))))))))))))))))))))))))))))) -> 1(0(2(0(1(1(2(0(2(1(0(0(1(2(2(0(1(1(2(0(2(2(1(2(2(2(2(1(1(1(2(z0))))))))))))))))))))))))))))))) 1(2(1(1(1(2(1(0(2(2(0(1(2(0(0(1(0(0(2(1(2(1(2(1(0(1(0(2(1(0(z0)))))))))))))))))))))))))))))) -> 1(0(1(0(0(0(2(0(1(1(1(2(2(2(2(1(0(2(0(2(2(1(1(0(1(2(2(1(1(1(0(z0))))))))))))))))))))))))))))))) 1(2(2(2(1(0(0(2(0(0(1(1(1(2(1(1(1(2(2(1(2(0(2(1(0(1(2(1(1(1(2(2(z0)))))))))))))))))))))))))))))))) -> 1(1(1(2(1(0(2(1(0(2(1(1(2(2(1(2(1(1(1(2(1(0(2(0(0(2(0(2(2(1(1(2(z0)))))))))))))))))))))))))))))))) 1(2(2(0(2(1(2(0(2(2(1(1(1(2(1(2(1(2(2(2(2(2(0(0(0(0(1(0(0(0(1(1(2(0(z0)))))))))))))))))))))))))))))))))) -> 1(1(2(1(1(1(0(1(2(0(0(1(2(2(0(2(0(0(2(0(1(0(2(0(0(1(0(0(0(2(0(2(1(2(2(0(1(z0))))))))))))))))))))))))))))))))))))) 1(1(1(0(1(2(2(2(2(0(1(0(2(2(0(0(0(1(2(0(0(0(2(2(1(0(0(0(0(1(1(0(0(0(1(z0))))))))))))))))))))))))))))))))))) -> 1(1(1(1(2(0(1(1(1(0(1(0(2(0(0(1(1(2(1(0(2(2(0(0(0(0(1(2(0(1(0(0(2(0(1(2(0(z0))))))))))))))))))))))))))))))))))))) 1(1(2(1(1(0(2(0(2(0(0(0(1(0(1(1(1(1(2(2(1(1(0(2(2(2(0(2(1(0(1(2(0(0(0(z0))))))))))))))))))))))))))))))))))) -> 1(0(2(0(1(0(2(0(1(1(0(0(0(1(2(0(1(1(1(0(2(0(2(0(0(2(0(2(2(1(2(0(2(2(0(1(0(z0))))))))))))))))))))))))))))))))))))) 1(0(1(2(0(1(0(2(2(1(2(2(0(0(0(2(1(1(2(0(2(1(1(1(0(1(0(0(0(2(1(1(2(1(0(0(z0)))))))))))))))))))))))))))))))))))) -> 1(1(2(1(0(2(1(1(2(0(2(1(1(1(2(2(0(2(1(2(2(1(1(1(0(1(0(2(0(0(0(2(0(2(0(0(1(z0))))))))))))))))))))))))))))))))))))) 1(1(2(1(0(2(2(1(2(2(2(0(1(1(0(0(2(1(0(1(2(2(2(1(1(1(2(0(0(0(1(1(0(1(1(1(2(0(z0)))))))))))))))))))))))))))))))))))))) -> 2(0(0(2(0(2(1(0(0(1(0(0(0(1(1(1(0(2(1(0(1(2(0(0(1(1(2(2(1(0(0(2(0(0(1(2(1(0(1(z0))))))))))))))))))))))))))))))))))))))) 1(2(2(0(1(2(2(2(0(1(1(1(2(1(1(0(0(1(2(1(2(2(2(1(0(0(0(0(1(1(2(1(0(0(1(0(2(1(1(z0))))))))))))))))))))))))))))))))))))))) -> 1(2(2(1(2(1(1(1(1(1(2(2(1(1(1(0(2(2(2(0(2(0(0(2(2(0(0(0(2(0(2(0(2(2(2(1(0(2(0(2(2(z0))))))))))))))))))))))))))))))))))))))))) 1(1(1(2(0(1(0(1(0(1(1(1(2(1(1(2(1(2(2(1(1(2(1(1(2(1(2(0(0(2(2(2(1(2(0(0(0(0(1(1(0(0(z0)))))))))))))))))))))))))))))))))))))))))) -> 1(2(1(0(1(2(0(1(0(2(0(2(2(2(0(1(1(1(1(2(1(0(2(2(1(0(2(2(1(1(0(2(1(2(0(2(0(2(1(0(0(0(0(z0))))))))))))))))))))))))))))))))))))))))))) 1(2(1(2(1(0(2(2(2(1(2(0(0(2(2(0(1(2(1(1(2(1(0(1(2(2(1(2(0(1(2(2(1(2(2(1(1(2(1(0(1(1(1(z0))))))))))))))))))))))))))))))))))))))))))) -> 1(0(0(2(1(0(1(2(2(1(0(1(2(1(0(1(0(1(2(0(2(2(1(0(2(1(2(2(2(0(0(1(2(0(2(0(0(1(1(0(2(1(2(0(1(z0))))))))))))))))))))))))))))))))))))))))))))) 1(2(1(1(0(2(2(0(1(2(2(0(2(0(0(1(1(0(1(2(2(2(0(2(2(0(0(0(0(1(1(0(1(0(0(0(1(2(1(2(2(2(0(0(z0)))))))))))))))))))))))))))))))))))))))))))) -> 1(1(2(1(0(2(0(2(2(2(1(1(1(1(0(2(1(1(2(1(0(0(2(1(0(0(2(0(2(1(2(2(1(0(1(1(2(0(1(0(2(2(2(0(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)) 0'(0(1(1(0(0(0(1(z0)))))))) -> c6(0'(2(0(1(0(1(1(1(1(z0))))))))), 2'(0(1(0(1(1(1(1(z0)))))))), 0'(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)) 0'(1(2(1(1(1(0(2(0(2(z0)))))))))) -> c7(0'(2(0(2(0(2(0(2(0(1(2(z0))))))))))), 2'(0(2(0(2(0(2(0(1(2(z0)))))))))), 0'(2(0(2(0(2(0(1(2(z0))))))))), 2'(0(2(0(2(0(1(2(z0)))))))), 0'(2(0(2(0(1(2(z0))))))), 2'(0(2(0(1(2(z0)))))), 0'(2(0(1(2(z0))))), 2'(0(1(2(z0)))), 0'(1(2(z0))), 1'(2(z0)), 2'(z0)) 0'(1(0(1(2(0(0(1(0(0(1(2(1(0(1(0(z0)))))))))))))))) -> c8(0'(1(1(1(1(2(0(2(1(0(0(0(1(0(0(0(z0)))))))))))))))), 1'(1(1(1(2(0(2(1(0(0(0(1(0(0(0(z0))))))))))))))), 1'(1(1(2(0(2(1(0(0(0(1(0(0(0(z0)))))))))))))), 1'(1(2(0(2(1(0(0(0(1(0(0(0(z0))))))))))))), 1'(2(0(2(1(0(0(0(1(0(0(0(z0)))))))))))), 2'(0(2(1(0(0(0(1(0(0(0(z0))))))))))), 0'(2(1(0(0(0(1(0(0(0(z0)))))))))), 2'(1(0(0(0(1(0(0(0(z0))))))))), 1'(0(0(0(1(0(0(0(z0)))))))), 0'(0(0(1(0(0(0(z0))))))), 0'(0(1(0(0(0(z0)))))), 0'(1(0(0(0(z0))))), 1'(0(0(0(z0)))), 0'(0(0(z0))), 0'(0(z0)), 0'(z0)) 0'(1(0(1(1(0(1(2(2(1(1(1(0(2(1(1(1(z0))))))))))))))))) -> c9(0'(2(1(1(0(2(2(0(2(2(0(0(2(0(1(2(1(2(z0)))))))))))))))))), 2'(1(1(0(2(2(0(2(2(0(0(2(0(1(2(1(2(z0))))))))))))))))), 1'(1(0(2(2(0(2(2(0(0(2(0(1(2(1(2(z0)))))))))))))))), 1'(0(2(2(0(2(2(0(0(2(0(1(2(1(2(z0))))))))))))))), 0'(2(2(0(2(2(0(0(2(0(1(2(1(2(z0)))))))))))))), 2'(2(0(2(2(0(0(2(0(1(2(1(2(z0))))))))))))), 2'(0(2(2(0(0(2(0(1(2(1(2(z0)))))))))))), 0'(2(2(0(0(2(0(1(2(1(2(z0))))))))))), 2'(2(0(0(2(0(1(2(1(2(z0)))))))))), 2'(0(0(2(0(1(2(1(2(z0))))))))), 0'(0(2(0(1(2(1(2(z0)))))))), 0'(2(0(1(2(1(2(z0))))))), 2'(0(1(2(1(2(z0)))))), 0'(1(2(1(2(z0))))), 1'(2(1(2(z0)))), 2'(1(2(z0))), 1'(2(z0)), 2'(z0)) 0'(1(2(0(1(1(1(1(2(2(0(2(2(1(0(0(0(1(0(2(1(1(1(z0))))))))))))))))))))))) -> c10(0'(1(0(0(2(0(1(1(2(2(0(0(1(0(2(0(1(1(1(1(1(2(2(2(z0)))))))))))))))))))))))), 1'(0(0(2(0(1(1(2(2(0(0(1(0(2(0(1(1(1(1(1(2(2(2(z0))))))))))))))))))))))), 0'(0(2(0(1(1(2(2(0(0(1(0(2(0(1(1(1(1(1(2(2(2(z0)))))))))))))))))))))), 0'(2(0(1(1(2(2(0(0(1(0(2(0(1(1(1(1(1(2(2(2(z0))))))))))))))))))))), 2'(0(1(1(2(2(0(0(1(0(2(0(1(1(1(1(1(2(2(2(z0)))))))))))))))))))), 0'(1(1(2(2(0(0(1(0(2(0(1(1(1(1(1(2(2(2(z0))))))))))))))))))), 1'(1(2(2(0(0(1(0(2(0(1(1(1(1(1(2(2(2(z0)))))))))))))))))), 1'(2(2(0(0(1(0(2(0(1(1(1(1(1(2(2(2(z0))))))))))))))))), 2'(2(0(0(1(0(2(0(1(1(1(1(1(2(2(2(z0)))))))))))))))), 2'(0(0(1(0(2(0(1(1(1(1(1(2(2(2(z0))))))))))))))), 0'(0(1(0(2(0(1(1(1(1(1(2(2(2(z0)))))))))))))), 0'(1(0(2(0(1(1(1(1(1(2(2(2(z0))))))))))))), 1'(0(2(0(1(1(1(1(1(2(2(2(z0)))))))))))), 0'(2(0(1(1(1(1(1(2(2(2(z0))))))))))), 2'(0(1(1(1(1(1(2(2(2(z0)))))))))), 0'(1(1(1(1(1(2(2(2(z0))))))))), 1'(1(1(1(1(2(2(2(z0)))))))), 1'(1(1(1(2(2(2(z0))))))), 1'(1(1(2(2(2(z0)))))), 1'(1(2(2(2(z0))))), 1'(2(2(2(z0)))), 2'(2(2(z0))), 2'(2(z0)), 2'(z0)) 0'(0(0(2(2(0(2(1(1(0(0(2(2(1(2(0(1(0(1(0(1(1(0(0(z0)))))))))))))))))))))))) -> c11(0'(0(1(0(2(0(0(1(2(2(2(2(2(1(0(1(2(1(2(0(1(1(1(1(1(z0))))))))))))))))))))))))), 0'(1(0(2(0(0(1(2(2(2(2(2(1(0(1(2(1(2(0(1(1(1(1(1(z0)))))))))))))))))))))))), 1'(0(2(0(0(1(2(2(2(2(2(1(0(1(2(1(2(0(1(1(1(1(1(z0))))))))))))))))))))))), 0'(2(0(0(1(2(2(2(2(2(1(0(1(2(1(2(0(1(1(1(1(1(z0)))))))))))))))))))))), 2'(0(0(1(2(2(2(2(2(1(0(1(2(1(2(0(1(1(1(1(1(z0))))))))))))))))))))), 0'(0(1(2(2(2(2(2(1(0(1(2(1(2(0(1(1(1(1(1(z0)))))))))))))))))))), 0'(1(2(2(2(2(2(1(0(1(2(1(2(0(1(1(1(1(1(z0))))))))))))))))))), 1'(2(2(2(2(2(1(0(1(2(1(2(0(1(1(1(1(1(z0)))))))))))))))))), 2'(2(2(2(2(1(0(1(2(1(2(0(1(1(1(1(1(z0))))))))))))))))), 2'(2(2(2(1(0(1(2(1(2(0(1(1(1(1(1(z0)))))))))))))))), 2'(2(2(1(0(1(2(1(2(0(1(1(1(1(1(z0))))))))))))))), 2'(2(1(0(1(2(1(2(0(1(1(1(1(1(z0)))))))))))))), 2'(1(0(1(2(1(2(0(1(1(1(1(1(z0))))))))))))), 1'(0(1(2(1(2(0(1(1(1(1(1(z0)))))))))))), 0'(1(2(1(2(0(1(1(1(1(1(z0))))))))))), 1'(2(1(2(0(1(1(1(1(1(z0)))))))))), 2'(1(2(0(1(1(1(1(1(z0))))))))), 1'(2(0(1(1(1(1(1(z0)))))))), 2'(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)) 0'(1(0(0(2(2(0(1(0(1(2(1(2(2(2(1(0(1(2(1(0(1(1(1(2(0(2(1(z0)))))))))))))))))))))))))))) -> c12(0'(0(2(0(0(2(2(0(0(1(1(2(1(1(1(2(0(0(1(1(2(0(2(0(2(2(1(2(2(z0))))))))))))))))))))))))))))), 0'(2(0(0(2(2(0(0(1(1(2(1(1(1(2(0(0(1(1(2(0(2(0(2(2(1(2(2(z0)))))))))))))))))))))))))))), 2'(0(0(2(2(0(0(1(1(2(1(1(1(2(0(0(1(1(2(0(2(0(2(2(1(2(2(z0))))))))))))))))))))))))))), 0'(0(2(2(0(0(1(1(2(1(1(1(2(0(0(1(1(2(0(2(0(2(2(1(2(2(z0)))))))))))))))))))))))))), 0'(2(2(0(0(1(1(2(1(1(1(2(0(0(1(1(2(0(2(0(2(2(1(2(2(z0))))))))))))))))))))))))), 2'(2(0(0(1(1(2(1(1(1(2(0(0(1(1(2(0(2(0(2(2(1(2(2(z0)))))))))))))))))))))))), 2'(0(0(1(1(2(1(1(1(2(0(0(1(1(2(0(2(0(2(2(1(2(2(z0))))))))))))))))))))))), 0'(0(1(1(2(1(1(1(2(0(0(1(1(2(0(2(0(2(2(1(2(2(z0)))))))))))))))))))))), 0'(1(1(2(1(1(1(2(0(0(1(1(2(0(2(0(2(2(1(2(2(z0))))))))))))))))))))), 1'(1(2(1(1(1(2(0(0(1(1(2(0(2(0(2(2(1(2(2(z0)))))))))))))))))))), 1'(2(1(1(1(2(0(0(1(1(2(0(2(0(2(2(1(2(2(z0))))))))))))))))))), 2'(1(1(1(2(0(0(1(1(2(0(2(0(2(2(1(2(2(z0)))))))))))))))))), 1'(1(1(2(0(0(1(1(2(0(2(0(2(2(1(2(2(z0))))))))))))))))), 1'(1(2(0(0(1(1(2(0(2(0(2(2(1(2(2(z0)))))))))))))))), 1'(2(0(0(1(1(2(0(2(0(2(2(1(2(2(z0))))))))))))))), 2'(0(0(1(1(2(0(2(0(2(2(1(2(2(z0)))))))))))))), 0'(0(1(1(2(0(2(0(2(2(1(2(2(z0))))))))))))), 0'(1(1(2(0(2(0(2(2(1(2(2(z0)))))))))))), 1'(1(2(0(2(0(2(2(1(2(2(z0))))))))))), 1'(2(0(2(0(2(2(1(2(2(z0)))))))))), 2'(0(2(0(2(2(1(2(2(z0))))))))), 0'(2(0(2(2(1(2(2(z0)))))))), 2'(0(2(2(1(2(2(z0))))))), 0'(2(2(1(2(2(z0)))))), 2'(2(1(2(2(z0))))), 2'(1(2(2(z0)))), 1'(2(2(z0))), 2'(2(z0)), 2'(z0)) 0'(0(2(0(2(1(1(2(0(2(1(1(2(0(1(0(1(2(1(1(1(0(0(0(0(2(2(1(2(0(z0)))))))))))))))))))))))))))))) -> c13(0'(0(2(0(1(1(1(0(0(2(1(1(2(0(0(2(2(0(1(1(1(2(0(2(0(2(1(2(1(0(z0)))))))))))))))))))))))))))))), 0'(2(0(1(1(1(0(0(2(1(1(2(0(0(2(2(0(1(1(1(2(0(2(0(2(1(2(1(0(z0))))))))))))))))))))))))))))), 2'(0(1(1(1(0(0(2(1(1(2(0(0(2(2(0(1(1(1(2(0(2(0(2(1(2(1(0(z0)))))))))))))))))))))))))))), 0'(1(1(1(0(0(2(1(1(2(0(0(2(2(0(1(1(1(2(0(2(0(2(1(2(1(0(z0))))))))))))))))))))))))))), 1'(1(1(0(0(2(1(1(2(0(0(2(2(0(1(1(1(2(0(2(0(2(1(2(1(0(z0)))))))))))))))))))))))))), 1'(1(0(0(2(1(1(2(0(0(2(2(0(1(1(1(2(0(2(0(2(1(2(1(0(z0))))))))))))))))))))))))), 1'(0(0(2(1(1(2(0(0(2(2(0(1(1(1(2(0(2(0(2(1(2(1(0(z0)))))))))))))))))))))))), 0'(0(2(1(1(2(0(0(2(2(0(1(1(1(2(0(2(0(2(1(2(1(0(z0))))))))))))))))))))))), 0'(2(1(1(2(0(0(2(2(0(1(1(1(2(0(2(0(2(1(2(1(0(z0)))))))))))))))))))))), 2'(1(1(2(0(0(2(2(0(1(1(1(2(0(2(0(2(1(2(1(0(z0))))))))))))))))))))), 1'(1(2(0(0(2(2(0(1(1(1(2(0(2(0(2(1(2(1(0(z0)))))))))))))))))))), 1'(2(0(0(2(2(0(1(1(1(2(0(2(0(2(1(2(1(0(z0))))))))))))))))))), 2'(0(0(2(2(0(1(1(1(2(0(2(0(2(1(2(1(0(z0)))))))))))))))))), 0'(0(2(2(0(1(1(1(2(0(2(0(2(1(2(1(0(z0))))))))))))))))), 0'(2(2(0(1(1(1(2(0(2(0(2(1(2(1(0(z0)))))))))))))))), 2'(2(0(1(1(1(2(0(2(0(2(1(2(1(0(z0))))))))))))))), 2'(0(1(1(1(2(0(2(0(2(1(2(1(0(z0)))))))))))))), 0'(1(1(1(2(0(2(0(2(1(2(1(0(z0))))))))))))), 1'(1(1(2(0(2(0(2(1(2(1(0(z0)))))))))))), 1'(1(2(0(2(0(2(1(2(1(0(z0))))))))))), 1'(2(0(2(0(2(1(2(1(0(z0)))))))))), 2'(0(2(0(2(1(2(1(0(z0))))))))), 0'(2(0(2(1(2(1(0(z0)))))))), 2'(0(2(1(2(1(0(z0))))))), 0'(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'(1(0(1(0(2(1(1(0(1(2(0(0(1(2(2(0(2(0(2(1(2(1(2(2(0(2(2(1(2(z0)))))))))))))))))))))))))))))) -> c14(0'(2(2(1(0(0(0(2(2(1(0(2(0(2(0(1(2(0(1(2(0(1(2(0(2(0(1(2(1(2(1(z0))))))))))))))))))))))))))))))), 2'(2(1(0(0(0(2(2(1(0(2(0(2(0(1(2(0(1(2(0(1(2(0(2(0(1(2(1(2(1(z0)))))))))))))))))))))))))))))), 2'(1(0(0(0(2(2(1(0(2(0(2(0(1(2(0(1(2(0(1(2(0(2(0(1(2(1(2(1(z0))))))))))))))))))))))))))))), 1'(0(0(0(2(2(1(0(2(0(2(0(1(2(0(1(2(0(1(2(0(2(0(1(2(1(2(1(z0)))))))))))))))))))))))))))), 0'(0(0(2(2(1(0(2(0(2(0(1(2(0(1(2(0(1(2(0(2(0(1(2(1(2(1(z0))))))))))))))))))))))))))), 0'(0(2(2(1(0(2(0(2(0(1(2(0(1(2(0(1(2(0(2(0(1(2(1(2(1(z0)))))))))))))))))))))))))), 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2'(0(1(2(1(2(1(z0))))))), 0'(1(2(1(2(1(z0)))))), 1'(2(1(2(1(z0))))), 2'(1(2(1(z0)))), 1'(2(1(z0))), 2'(1(z0)), 1'(z0)) 0'(1(0(0(2(1(0(1(1(1(1(1(0(1(0(1(0(2(2(0(2(2(1(2(2(2(1(0(0(2(2(z0))))))))))))))))))))))))))))))) -> c15(0'(0(2(1(1(2(0(1(2(2(2(0(2(1(2(2(0(2(1(0(0(1(2(0(0(2(0(1(0(2(0(2(z0)))))))))))))))))))))))))))))))), 0'(2(1(1(2(0(1(2(2(2(0(2(1(2(2(0(2(1(0(0(1(2(0(0(2(0(1(0(2(0(2(z0))))))))))))))))))))))))))))))), 2'(1(1(2(0(1(2(2(2(0(2(1(2(2(0(2(1(0(0(1(2(0(0(2(0(1(0(2(0(2(z0)))))))))))))))))))))))))))))), 1'(1(2(0(1(2(2(2(0(2(1(2(2(0(2(1(0(0(1(2(0(0(2(0(1(0(2(0(2(z0))))))))))))))))))))))))))))), 1'(2(0(1(2(2(2(0(2(1(2(2(0(2(1(0(0(1(2(0(0(2(0(1(0(2(0(2(z0)))))))))))))))))))))))))))), 2'(0(1(2(2(2(0(2(1(2(2(0(2(1(0(0(1(2(0(0(2(0(1(0(2(0(2(z0))))))))))))))))))))))))))), 0'(1(2(2(2(0(2(1(2(2(0(2(1(0(0(1(2(0(0(2(0(1(0(2(0(2(z0)))))))))))))))))))))))))), 1'(2(2(2(0(2(1(2(2(0(2(1(0(0(1(2(0(0(2(0(1(0(2(0(2(z0))))))))))))))))))))))))), 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2'(2(1(1(0(2(1(1(1(2(1(2(2(2(2(1(2(1(0(2(2(z0))))))))))))))))))))) -> c29(1'(2(1(2(2(0(0(2(0(0(0(2(2(1(0(2(0(0(2(0(2(1(z0)))))))))))))))))))))), 2'(1(2(2(0(0(2(0(0(0(2(2(1(0(2(0(0(2(0(2(1(z0))))))))))))))))))))), 1'(2(2(0(0(2(0(0(0(2(2(1(0(2(0(0(2(0(2(1(z0)))))))))))))))))))), 2'(2(0(0(2(0(0(0(2(2(1(0(2(0(0(2(0(2(1(z0))))))))))))))))))), 2'(0(0(2(0(0(0(2(2(1(0(2(0(0(2(0(2(1(z0)))))))))))))))))), 0'(0(2(0(0(0(2(2(1(0(2(0(0(2(0(2(1(z0))))))))))))))))), 0'(2(0(0(0(2(2(1(0(2(0(0(2(0(2(1(z0)))))))))))))))), 2'(0(0(0(2(2(1(0(2(0(0(2(0(2(1(z0))))))))))))))), 0'(0(0(2(2(1(0(2(0(0(2(0(2(1(z0)))))))))))))), 0'(0(2(2(1(0(2(0(0(2(0(2(1(z0))))))))))))), 0'(2(2(1(0(2(0(0(2(0(2(1(z0)))))))))))), 2'(2(1(0(2(0(0(2(0(2(1(z0))))))))))), 2'(1(0(2(0(0(2(0(2(1(z0)))))))))), 1'(0(2(0(0(2(0(2(1(z0))))))))), 0'(2(0(0(2(0(2(1(z0)))))))), 2'(0(0(2(0(2(1(z0))))))), 0'(0(2(0(2(1(z0)))))), 0'(2(0(2(1(z0))))), 2'(0(2(1(z0)))), 0'(2(1(z0))), 2'(1(z0)), 1'(z0)) 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1'(2(1(1(0(2(2(0(1(2(2(0(2(0(0(1(1(0(1(2(2(2(0(2(2(0(0(0(0(1(1(0(1(0(0(0(1(2(1(2(2(2(0(0(z0)))))))))))))))))))))))))))))))))))))))))))) -> c80(2'(2(2(0(0(z0))))), 2'(2(0(0(z0)))), 0'(0(z0)), 0'(z0)) ENCODE_0(z0) -> c53(0'(encArg(z0))) ENCODE_0(z0) -> c53(ENCARG(z0)) ENCODE_1(z0) -> c53(1'(encArg(z0))) ENCODE_1(z0) -> c53(ENCARG(z0)) ENCODE_2(z0) -> c53(2'(encArg(z0))) ENCODE_2(z0) -> c53(ENCARG(z0)) S tuples: 0'(0(1(1(0(0(0(1(z0)))))))) -> c6(0'(2(0(1(0(1(1(1(1(z0))))))))), 2'(0(1(0(1(1(1(1(z0)))))))), 0'(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)) 0'(1(2(1(1(1(0(2(0(2(z0)))))))))) -> c7(0'(2(0(2(0(2(0(2(0(1(2(z0))))))))))), 2'(0(2(0(2(0(2(0(1(2(z0)))))))))), 0'(2(0(2(0(2(0(1(2(z0))))))))), 2'(0(2(0(2(0(1(2(z0)))))))), 0'(2(0(2(0(1(2(z0))))))), 2'(0(2(0(1(2(z0)))))), 0'(2(0(1(2(z0))))), 2'(0(1(2(z0)))), 0'(1(2(z0))), 1'(2(z0)), 2'(z0)) 0'(1(0(1(2(0(0(1(0(0(1(2(1(0(1(0(z0)))))))))))))))) -> c8(0'(1(1(1(1(2(0(2(1(0(0(0(1(0(0(0(z0)))))))))))))))), 1'(1(1(1(2(0(2(1(0(0(0(1(0(0(0(z0))))))))))))))), 1'(1(1(2(0(2(1(0(0(0(1(0(0(0(z0)))))))))))))), 1'(1(2(0(2(1(0(0(0(1(0(0(0(z0))))))))))))), 1'(2(0(2(1(0(0(0(1(0(0(0(z0)))))))))))), 2'(0(2(1(0(0(0(1(0(0(0(z0))))))))))), 0'(2(1(0(0(0(1(0(0(0(z0)))))))))), 2'(1(0(0(0(1(0(0(0(z0))))))))), 1'(0(0(0(1(0(0(0(z0)))))))), 0'(0(0(1(0(0(0(z0))))))), 0'(0(1(0(0(0(z0)))))), 0'(1(0(0(0(z0))))), 1'(0(0(0(z0)))), 0'(0(0(z0))), 0'(0(z0)), 0'(z0)) 0'(1(0(1(1(0(1(2(2(1(1(1(0(2(1(1(1(z0))))))))))))))))) -> c9(0'(2(1(1(0(2(2(0(2(2(0(0(2(0(1(2(1(2(z0)))))))))))))))))), 2'(1(1(0(2(2(0(2(2(0(0(2(0(1(2(1(2(z0))))))))))))))))), 1'(1(0(2(2(0(2(2(0(0(2(0(1(2(1(2(z0)))))))))))))))), 1'(0(2(2(0(2(2(0(0(2(0(1(2(1(2(z0))))))))))))))), 0'(2(2(0(2(2(0(0(2(0(1(2(1(2(z0)))))))))))))), 2'(2(0(2(2(0(0(2(0(1(2(1(2(z0))))))))))))), 2'(0(2(2(0(0(2(0(1(2(1(2(z0)))))))))))), 0'(2(2(0(0(2(0(1(2(1(2(z0))))))))))), 2'(2(0(0(2(0(1(2(1(2(z0)))))))))), 2'(0(0(2(0(1(2(1(2(z0))))))))), 0'(0(2(0(1(2(1(2(z0)))))))), 0'(2(0(1(2(1(2(z0))))))), 2'(0(1(2(1(2(z0)))))), 0'(1(2(1(2(z0))))), 1'(2(1(2(z0)))), 2'(1(2(z0))), 1'(2(z0)), 2'(z0)) 0'(1(2(0(1(1(1(1(2(2(0(2(2(1(0(0(0(1(0(2(1(1(1(z0))))))))))))))))))))))) -> c10(0'(1(0(0(2(0(1(1(2(2(0(0(1(0(2(0(1(1(1(1(1(2(2(2(z0)))))))))))))))))))))))), 1'(0(0(2(0(1(1(2(2(0(0(1(0(2(0(1(1(1(1(1(2(2(2(z0))))))))))))))))))))))), 0'(0(2(0(1(1(2(2(0(0(1(0(2(0(1(1(1(1(1(2(2(2(z0)))))))))))))))))))))), 0'(2(0(1(1(2(2(0(0(1(0(2(0(1(1(1(1(1(2(2(2(z0))))))))))))))))))))), 2'(0(1(1(2(2(0(0(1(0(2(0(1(1(1(1(1(2(2(2(z0)))))))))))))))))))), 0'(1(1(2(2(0(0(1(0(2(0(1(1(1(1(1(2(2(2(z0))))))))))))))))))), 1'(1(2(2(0(0(1(0(2(0(1(1(1(1(1(2(2(2(z0)))))))))))))))))), 1'(2(2(0(0(1(0(2(0(1(1(1(1(1(2(2(2(z0))))))))))))))))), 2'(2(0(0(1(0(2(0(1(1(1(1(1(2(2(2(z0)))))))))))))))), 2'(0(0(1(0(2(0(1(1(1(1(1(2(2(2(z0))))))))))))))), 0'(0(1(0(2(0(1(1(1(1(1(2(2(2(z0)))))))))))))), 0'(1(0(2(0(1(1(1(1(1(2(2(2(z0))))))))))))), 1'(0(2(0(1(1(1(1(1(2(2(2(z0)))))))))))), 0'(2(0(1(1(1(1(1(2(2(2(z0))))))))))), 2'(0(1(1(1(1(1(2(2(2(z0)))))))))), 0'(1(1(1(1(1(2(2(2(z0))))))))), 1'(1(1(1(1(2(2(2(z0)))))))), 1'(1(1(1(2(2(2(z0))))))), 1'(1(1(2(2(2(z0)))))), 1'(1(2(2(2(z0))))), 1'(2(2(2(z0)))), 2'(2(2(z0))), 2'(2(z0)), 2'(z0)) 0'(0(0(2(2(0(2(1(1(0(0(2(2(1(2(0(1(0(1(0(1(1(0(0(z0)))))))))))))))))))))))) -> c11(0'(0(1(0(2(0(0(1(2(2(2(2(2(1(0(1(2(1(2(0(1(1(1(1(1(z0))))))))))))))))))))))))), 0'(1(0(2(0(0(1(2(2(2(2(2(1(0(1(2(1(2(0(1(1(1(1(1(z0)))))))))))))))))))))))), 1'(0(2(0(0(1(2(2(2(2(2(1(0(1(2(1(2(0(1(1(1(1(1(z0))))))))))))))))))))))), 0'(2(0(0(1(2(2(2(2(2(1(0(1(2(1(2(0(1(1(1(1(1(z0)))))))))))))))))))))), 2'(0(0(1(2(2(2(2(2(1(0(1(2(1(2(0(1(1(1(1(1(z0))))))))))))))))))))), 0'(0(1(2(2(2(2(2(1(0(1(2(1(2(0(1(1(1(1(1(z0)))))))))))))))))))), 0'(1(2(2(2(2(2(1(0(1(2(1(2(0(1(1(1(1(1(z0))))))))))))))))))), 1'(2(2(2(2(2(1(0(1(2(1(2(0(1(1(1(1(1(z0)))))))))))))))))), 2'(2(2(2(2(1(0(1(2(1(2(0(1(1(1(1(1(z0))))))))))))))))), 2'(2(2(2(1(0(1(2(1(2(0(1(1(1(1(1(z0)))))))))))))))), 2'(2(2(1(0(1(2(1(2(0(1(1(1(1(1(z0))))))))))))))), 2'(2(1(0(1(2(1(2(0(1(1(1(1(1(z0)))))))))))))), 2'(1(0(1(2(1(2(0(1(1(1(1(1(z0))))))))))))), 1'(0(1(2(1(2(0(1(1(1(1(1(z0)))))))))))), 0'(1(2(1(2(0(1(1(1(1(1(z0))))))))))), 1'(2(1(2(0(1(1(1(1(1(z0)))))))))), 2'(1(2(0(1(1(1(1(1(z0))))))))), 1'(2(0(1(1(1(1(1(z0)))))))), 2'(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)) 0'(1(0(0(2(2(0(1(0(1(2(1(2(2(2(1(0(1(2(1(0(1(1(1(2(0(2(1(z0)))))))))))))))))))))))))))) -> c12(0'(0(2(0(0(2(2(0(0(1(1(2(1(1(1(2(0(0(1(1(2(0(2(0(2(2(1(2(2(z0))))))))))))))))))))))))))))), 0'(2(0(0(2(2(0(0(1(1(2(1(1(1(2(0(0(1(1(2(0(2(0(2(2(1(2(2(z0)))))))))))))))))))))))))))), 2'(0(0(2(2(0(0(1(1(2(1(1(1(2(0(0(1(1(2(0(2(0(2(2(1(2(2(z0))))))))))))))))))))))))))), 0'(0(2(2(0(0(1(1(2(1(1(1(2(0(0(1(1(2(0(2(0(2(2(1(2(2(z0)))))))))))))))))))))))))), 0'(2(2(0(0(1(1(2(1(1(1(2(0(0(1(1(2(0(2(0(2(2(1(2(2(z0))))))))))))))))))))))))), 2'(2(0(0(1(1(2(1(1(1(2(0(0(1(1(2(0(2(0(2(2(1(2(2(z0)))))))))))))))))))))))), 2'(0(0(1(1(2(1(1(1(2(0(0(1(1(2(0(2(0(2(2(1(2(2(z0))))))))))))))))))))))), 0'(0(1(1(2(1(1(1(2(0(0(1(1(2(0(2(0(2(2(1(2(2(z0)))))))))))))))))))))), 0'(1(1(2(1(1(1(2(0(0(1(1(2(0(2(0(2(2(1(2(2(z0))))))))))))))))))))), 1'(1(2(1(1(1(2(0(0(1(1(2(0(2(0(2(2(1(2(2(z0)))))))))))))))))))), 1'(2(1(1(1(2(0(0(1(1(2(0(2(0(2(2(1(2(2(z0))))))))))))))))))), 2'(1(1(1(2(0(0(1(1(2(0(2(0(2(2(1(2(2(z0)))))))))))))))))), 1'(1(1(2(0(0(1(1(2(0(2(0(2(2(1(2(2(z0))))))))))))))))), 1'(1(2(0(0(1(1(2(0(2(0(2(2(1(2(2(z0)))))))))))))))), 1'(2(0(0(1(1(2(0(2(0(2(2(1(2(2(z0))))))))))))))), 2'(0(0(1(1(2(0(2(0(2(2(1(2(2(z0)))))))))))))), 0'(0(1(1(2(0(2(0(2(2(1(2(2(z0))))))))))))), 0'(1(1(2(0(2(0(2(2(1(2(2(z0)))))))))))), 1'(1(2(0(2(0(2(2(1(2(2(z0))))))))))), 1'(2(0(2(0(2(2(1(2(2(z0)))))))))), 2'(0(2(0(2(2(1(2(2(z0))))))))), 0'(2(0(2(2(1(2(2(z0)))))))), 2'(0(2(2(1(2(2(z0))))))), 0'(2(2(1(2(2(z0)))))), 2'(2(1(2(2(z0))))), 2'(1(2(2(z0)))), 1'(2(2(z0))), 2'(2(z0)), 2'(z0)) 0'(0(2(0(2(1(1(2(0(2(1(1(2(0(1(0(1(2(1(1(1(0(0(0(0(2(2(1(2(0(z0)))))))))))))))))))))))))))))) -> c13(0'(0(2(0(1(1(1(0(0(2(1(1(2(0(0(2(2(0(1(1(1(2(0(2(0(2(1(2(1(0(z0)))))))))))))))))))))))))))))), 0'(2(0(1(1(1(0(0(2(1(1(2(0(0(2(2(0(1(1(1(2(0(2(0(2(1(2(1(0(z0))))))))))))))))))))))))))))), 2'(0(1(1(1(0(0(2(1(1(2(0(0(2(2(0(1(1(1(2(0(2(0(2(1(2(1(0(z0)))))))))))))))))))))))))))), 0'(1(1(1(0(0(2(1(1(2(0(0(2(2(0(1(1(1(2(0(2(0(2(1(2(1(0(z0))))))))))))))))))))))))))), 1'(1(1(0(0(2(1(1(2(0(0(2(2(0(1(1(1(2(0(2(0(2(1(2(1(0(z0)))))))))))))))))))))))))), 1'(1(0(0(2(1(1(2(0(0(2(2(0(1(1(1(2(0(2(0(2(1(2(1(0(z0))))))))))))))))))))))))), 1'(0(0(2(1(1(2(0(0(2(2(0(1(1(1(2(0(2(0(2(1(2(1(0(z0)))))))))))))))))))))))), 0'(0(2(1(1(2(0(0(2(2(0(1(1(1(2(0(2(0(2(1(2(1(0(z0))))))))))))))))))))))), 0'(2(1(1(2(0(0(2(2(0(1(1(1(2(0(2(0(2(1(2(1(0(z0)))))))))))))))))))))), 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2'(1(0(1(2(0(1(0(2(1(1(2(0(0(z0)))))))))))))), 1'(0(1(2(0(1(0(2(1(1(2(0(0(z0))))))))))))), 0'(1(2(0(1(0(2(1(1(2(0(0(z0)))))))))))), 1'(2(0(1(0(2(1(1(2(0(0(z0))))))))))), 2'(0(1(0(2(1(1(2(0(0(z0)))))))))), 0'(1(0(2(1(1(2(0(0(z0))))))))), 1'(0(2(1(1(2(0(0(z0)))))))), 0'(2(1(1(2(0(0(z0))))))), 2'(1(1(2(0(0(z0)))))), 1'(1(2(0(0(z0))))), 1'(2(0(0(z0)))), 0'(0(z0)), 0'(z0)) 2'(2(2(1(0(0(2(0(1(0(2(1(0(2(1(0(0(1(1(0(0(0(2(0(2(z0))))))))))))))))))))))))) -> c33(0'(0(2(0(2(z0))))), 2'(0(2(z0))), 0'(2(z0)), 2'(z0)) 1'(0(2(1(0(0(1(0(1(2(z0)))))))))) -> c62(1'(2(0(0(1(1(0(0(1(2(z0)))))))))), 2'(0(0(1(1(0(0(1(2(z0))))))))), 0'(0(1(1(0(0(1(2(z0)))))))), 0'(1(1(0(0(1(2(z0))))))), 1'(1(0(0(1(2(z0)))))), 1'(0(0(1(2(z0))))), 0'(1(2(z0))), 1'(2(z0)), 2'(z0)) 1'(1(0(1(1(1(1(0(1(0(0(2(1(1(2(0(0(1(1(0(2(0(0(0(z0)))))))))))))))))))))))) -> c66(2'(0(0(2(1(0(2(2(2(0(0(2(2(2(2(0(0(0(2(0(1(2(0(0(0(z0))))))))))))))))))))))))), 0'(0(2(1(0(2(2(2(0(0(2(2(2(2(0(0(0(2(0(1(2(0(0(0(z0)))))))))))))))))))))))), 0'(2(1(0(2(2(2(0(0(2(2(2(2(0(0(0(2(0(1(2(0(0(0(z0))))))))))))))))))))))), 2'(1(0(2(2(2(0(0(2(2(2(2(0(0(0(2(0(1(2(0(0(0(z0)))))))))))))))))))))), 1'(0(2(2(2(0(0(2(2(2(2(0(0(0(2(0(1(2(0(0(0(z0))))))))))))))))))))), 0'(2(2(2(0(0(2(2(2(2(0(0(0(2(0(1(2(0(0(0(z0)))))))))))))))))))), 2'(2(2(0(0(2(2(2(2(0(0(0(2(0(1(2(0(0(0(z0))))))))))))))))))), 2'(2(0(0(2(2(2(2(0(0(0(2(0(1(2(0(0(0(z0)))))))))))))))))), 2'(0(0(2(2(2(2(0(0(0(2(0(1(2(0(0(0(z0))))))))))))))))), 0'(0(2(2(2(2(0(0(0(2(0(1(2(0(0(0(z0)))))))))))))))), 0'(2(2(2(2(0(0(0(2(0(1(2(0(0(0(z0))))))))))))))), 2'(2(2(2(0(0(0(2(0(1(2(0(0(0(z0)))))))))))))), 2'(2(2(0(0(0(2(0(1(2(0(0(0(z0))))))))))))), 2'(2(0(0(0(2(0(1(2(0(0(0(z0)))))))))))), 2'(0(0(0(2(0(1(2(0(0(0(z0))))))))))), 0'(0(0(2(0(1(2(0(0(0(z0)))))))))), 0'(0(2(0(1(2(0(0(0(z0))))))))), 0'(2(0(1(2(0(0(0(z0)))))))), 2'(0(1(2(0(0(0(z0))))))), 0'(1(2(0(0(0(z0)))))), 1'(2(0(0(0(z0))))), 0'(0(0(z0))), 0'(0(z0)), 0'(z0)) 1'(2(1(1(0(2(2(0(1(2(2(0(2(0(0(1(1(0(1(2(2(2(0(2(2(0(0(0(0(1(1(0(1(0(0(0(1(2(1(2(2(2(0(0(z0)))))))))))))))))))))))))))))))))))))))))))) -> c80(2'(2(2(0(0(z0))))), 2'(2(0(0(z0)))), 0'(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, 0'_1, 2'_1, 1'_1, ENCODE_0_1, ENCODE_1_1, ENCODE_2_1 Compound Symbols: c_2, c1_2, c2_2, c6_9, c7_11, c8_16, c9_18, c10_24, c11_25, c12_29, c13_30, c14_31, c15_32, c16_32, c17_35, c18_37, c19_39, c20_38, c21_43, c22_42, c23_45, c24_43, c25_46, c26_8, c27_14, c28_22, c29_22, c30_23, c31_23, c34_29, c35_29, c36_31, c37_35, c38_36, c39_36, c40_35, c41_35, c42_36, c43_37, c44_39, c45_40, c46_42, c47_39, c48_41, c49_40, c50_40, c51_40, c52_42, c54_43, c55_43, c56_44, c57_46, c58_50, c59_49, c60_49, c61_9, c63_13, c64_20, c65_22, c67_27, c68_29, c69_31, c70_31, c71_32, c72_37, c74_37, c75_37, c76_39, c77_41, c78_43, c79_45, c32_25, c33_4, c62_9, c66_24, c80_4, c53_1 ---------------------------------------- (43) CdtLeafRemovalProof (ComplexityIfPolyImplication) Removed 3 leading nodes: ENCODE_0(z0) -> c53(ENCARG(z0)) ENCODE_1(z0) -> c53(ENCARG(z0)) ENCODE_2(z0) -> c53(ENCARG(z0)) ---------------------------------------- (44) 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(0(1(1(0(0(0(1(z0)))))))) -> 0(2(0(1(0(1(1(1(1(z0))))))))) 0(1(2(1(1(1(0(2(0(2(z0)))))))))) -> 0(2(0(2(0(2(0(2(0(1(2(z0))))))))))) 0(1(0(1(2(0(0(1(0(0(1(2(1(0(1(0(z0)))))))))))))))) -> 0(1(1(1(1(2(0(2(1(0(0(0(1(0(0(0(z0)))))))))))))))) 0(1(0(1(1(0(1(2(2(1(1(1(0(2(1(1(1(z0))))))))))))))))) -> 0(2(1(1(0(2(2(0(2(2(0(0(2(0(1(2(1(2(z0)))))))))))))))))) 0(1(2(0(1(1(1(1(2(2(0(2(2(1(0(0(0(1(0(2(1(1(1(z0))))))))))))))))))))))) -> 0(1(0(0(2(0(1(1(2(2(0(0(1(0(2(0(1(1(1(1(1(2(2(2(z0)))))))))))))))))))))))) 0(0(0(2(2(0(2(1(1(0(0(2(2(1(2(0(1(0(1(0(1(1(0(0(z0)))))))))))))))))))))))) -> 0(0(1(0(2(0(0(1(2(2(2(2(2(1(0(1(2(1(2(0(1(1(1(1(1(z0))))))))))))))))))))))))) 0(1(0(0(2(2(0(1(0(1(2(1(2(2(2(1(0(1(2(1(0(1(1(1(2(0(2(1(z0)))))))))))))))))))))))))))) -> 0(0(2(0(0(2(2(0(0(1(1(2(1(1(1(2(0(0(1(1(2(0(2(0(2(2(1(2(2(z0))))))))))))))))))))))))))))) 0(0(2(0(2(1(1(2(0(2(1(1(2(0(1(0(1(2(1(1(1(0(0(0(0(2(2(1(2(0(z0)))))))))))))))))))))))))))))) -> 0(0(2(0(1(1(1(0(0(2(1(1(2(0(0(2(2(0(1(1(1(2(0(2(0(2(1(2(1(0(z0)))))))))))))))))))))))))))))) 0(1(0(1(0(2(1(1(0(1(2(0(0(1(2(2(0(2(0(2(1(2(1(2(2(0(2(2(1(2(z0)))))))))))))))))))))))))))))) -> 0(2(2(1(0(0(0(2(2(1(0(2(0(2(0(1(2(0(1(2(0(1(2(0(2(0(1(2(1(2(1(z0))))))))))))))))))))))))))))))) 0(1(0(0(2(1(0(1(1(1(1(1(0(1(0(1(0(2(2(0(2(2(1(2(2(2(1(0(0(2(2(z0))))))))))))))))))))))))))))))) -> 0(0(2(1(1(2(0(1(2(2(2(0(2(1(2(2(0(2(1(0(0(1(2(0(0(2(0(1(0(2(0(2(z0)))))))))))))))))))))))))))))))) 0(0(1(1(1(1(2(2(0(0(2(1(2(2(1(0(2(1(0(0(1(1(0(2(0(2(2(2(2(0(2(1(z0)))))))))))))))))))))))))))))))) -> 0(0(1(1(1(2(1(2(2(0(0(1(2(2(1(2(2(1(2(0(1(0(2(0(0(2(0(2(1(0(2(1(z0)))))))))))))))))))))))))))))))) 0(2(1(2(0(1(2(1(1(1(2(0(0(0(0(1(2(1(0(0(2(2(2(0(1(2(0(2(1(1(2(2(1(2(1(z0))))))))))))))))))))))))))))))))))) -> 0(2(1(2(0(2(0(1(0(1(0(0(1(2(0(2(2(1(0(2(1(2(0(0(1(2(1(2(2(2(1(2(1(1(1(z0))))))))))))))))))))))))))))))))))) 0(2(2(2(1(2(0(2(1(0(1(2(2(0(1(1(0(2(0(0(1(2(2(2(0(0(2(0(2(2(1(0(0(1(0(0(z0)))))))))))))))))))))))))))))))))))) -> 0(0(0(2(0(0(0(2(2(2(0(1(0(2(1(2(2(0(1(2(2(0(0(0(1(0(0(0(2(0(1(1(0(2(0(2(0(z0))))))))))))))))))))))))))))))))))))) 0(0(0(1(0(0(1(2(1(0(2(0(2(1(1(2(2(2(1(1(0(2(2(2(2(2(0(0(0(1(0(1(0(0(0(1(0(z0))))))))))))))))))))))))))))))))))))) -> 0(1(1(0(2(1(1(1(0(2(0(1(2(0(0(0(2(2(1(0(2(2(2(1(1(1(2(1(0(2(1(1(0(1(2(0(1(1(1(z0))))))))))))))))))))))))))))))))))))))) 0(1(1(1(0(1(0(0(2(1(0(0(1(0(0(0(0(1(1(2(1(1(1(0(0(0(1(2(0(2(2(2(2(0(2(0(0(z0))))))))))))))))))))))))))))))))))))) -> 0(0(2(0(1(2(0(0(1(2(0(2(1(1(0(2(1(2(2(2(2(2(0(0(1(0(1(1(2(0(0(1(1(1(1(1(2(0(z0)))))))))))))))))))))))))))))))))))))) 0(2(0(0(1(0(0(2(2(2(0(1(1(1(1(2(2(0(0(0(0(2(0(1(2(1(0(1(2(1(2(2(2(0(0(0(0(1(0(0(z0)))))))))))))))))))))))))))))))))))))))) -> 0(1(0(0(2(0(2(0(0(2(1(0(0(2(2(1(1(2(2(2(1(2(0(1(1(2(0(2(0(2(1(2(0(2(0(1(2(0(2(1(0(0(1(z0))))))))))))))))))))))))))))))))))))))))))) 0(2(1(1(1(0(2(1(1(0(0(2(1(0(2(1(1(0(2(2(1(0(2(0(1(0(2(1(0(1(1(2(2(1(0(1(2(2(0(0(z0)))))))))))))))))))))))))))))))))))))))) -> 0(2(1(2(2(2(2(1(1(1(1(1(2(0(0(2(0(2(0(0(2(1(1(1(0(2(0(2(2(2(1(1(1(0(0(0(1(2(2(0(2(0(z0)))))))))))))))))))))))))))))))))))))))))) 0(2(2(0(1(2(0(0(0(2(2(2(1(2(2(2(1(0(0(0(2(0(2(1(1(0(2(1(2(0(1(0(2(1(2(0(2(1(0(1(0(1(z0)))))))))))))))))))))))))))))))))))))))))) -> 0(1(1(1(2(0(0(0(0(1(1(2(0(2(0(2(0(0(0(2(2(0(0(0(0(2(2(0(1(1(0(0(1(2(1(2(0(1(2(0(0(2(0(0(0(z0))))))))))))))))))))))))))))))))))))))))))))) 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1(1(0(1(1(1(1(0(1(0(0(2(1(1(2(0(0(1(1(0(2(0(0(0(z0)))))))))))))))))))))))) -> 2(0(0(2(1(0(2(2(2(0(0(2(2(2(2(0(0(0(2(0(1(2(0(0(0(z0))))))))))))))))))))))))) 1(0(0(1(2(0(0(0(1(1(1(1(2(2(2(2(2(1(1(2(1(0(1(0(1(0(z0)))))))))))))))))))))))))) -> 1(0(1(0(2(2(0(2(0(1(1(2(2(1(2(2(2(2(0(0(1(1(0(1(0(2(0(z0))))))))))))))))))))))))))) 1(2(1(0(0(1(1(0(1(0(2(1(2(0(2(0(1(1(2(1(2(0(1(1(0(0(0(1(z0)))))))))))))))))))))))))))) -> 1(1(1(1(2(0(2(0(0(1(2(0(0(0(0(2(2(1(0(0(2(0(1(2(0(1(2(0(0(z0))))))))))))))))))))))))))))) 1(2(0(0(0(2(0(1(1(2(2(0(0(2(2(0(2(1(1(1(2(1(1(1(0(1(2(1(2(1(z0)))))))))))))))))))))))))))))) -> 1(0(2(0(1(1(2(0(2(1(0(0(1(2(2(0(1(1(2(0(2(2(1(2(2(2(2(1(1(1(2(z0))))))))))))))))))))))))))))))) 1(2(1(1(1(2(1(0(2(2(0(1(2(0(0(1(0(0(2(1(2(1(2(1(0(1(0(2(1(0(z0)))))))))))))))))))))))))))))) -> 1(0(1(0(0(0(2(0(1(1(1(2(2(2(2(1(0(2(0(2(2(1(1(0(1(2(2(1(1(1(0(z0))))))))))))))))))))))))))))))) 1(2(2(2(1(0(0(2(0(0(1(1(1(2(1(1(1(2(2(1(2(0(2(1(0(1(2(1(1(1(2(2(z0)))))))))))))))))))))))))))))))) -> 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1(1(2(1(0(2(2(1(2(2(2(0(1(1(0(0(2(1(0(1(2(2(2(1(1(1(2(0(0(0(1(1(0(1(1(1(2(0(z0)))))))))))))))))))))))))))))))))))))) -> 2(0(0(2(0(2(1(0(0(1(0(0(0(1(1(1(0(2(1(0(1(2(0(0(1(1(2(2(1(0(0(2(0(0(1(2(1(0(1(z0))))))))))))))))))))))))))))))))))))))) 1(2(2(0(1(2(2(2(0(1(1(1(2(1(1(0(0(1(2(1(2(2(2(1(0(0(0(0(1(1(2(1(0(0(1(0(2(1(1(z0))))))))))))))))))))))))))))))))))))))) -> 1(2(2(1(2(1(1(1(1(1(2(2(1(1(1(0(2(2(2(0(2(0(0(2(2(0(0(0(2(0(2(0(2(2(2(1(0(2(0(2(2(z0))))))))))))))))))))))))))))))))))))))))) 1(1(1(2(0(1(0(1(0(1(1(1(2(1(1(2(1(2(2(1(1(2(1(1(2(1(2(0(0(2(2(2(1(2(0(0(0(0(1(1(0(0(z0)))))))))))))))))))))))))))))))))))))))))) -> 1(2(1(0(1(2(0(1(0(2(0(2(2(2(0(1(1(1(1(2(1(0(2(2(1(0(2(2(1(1(0(2(1(2(0(2(0(2(1(0(0(0(0(z0))))))))))))))))))))))))))))))))))))))))))) 1(2(1(2(1(0(2(2(2(1(2(0(0(2(2(0(1(2(1(1(2(1(0(1(2(2(1(2(0(1(2(2(1(2(2(1(1(2(1(0(1(1(1(z0))))))))))))))))))))))))))))))))))))))))))) -> 1(0(0(2(1(0(1(2(2(1(0(1(2(1(0(1(0(1(2(0(2(2(1(0(2(1(2(2(2(0(0(1(2(0(2(0(0(1(1(0(2(1(2(0(1(z0))))))))))))))))))))))))))))))))))))))))))))) 1(2(1(1(0(2(2(0(1(2(2(0(2(0(0(1(1(0(1(2(2(2(0(2(2(0(0(0(0(1(1(0(1(0(0(0(1(2(1(2(2(2(0(0(z0)))))))))))))))))))))))))))))))))))))))))))) -> 1(1(2(1(0(2(0(2(2(2(1(1(1(1(0(2(1(1(2(1(0(0(2(1(0(0(2(0(2(1(2(2(1(0(1(1(2(0(1(0(2(2(2(0(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)) 0'(0(1(1(0(0(0(1(z0)))))))) -> c6(0'(2(0(1(0(1(1(1(1(z0))))))))), 2'(0(1(0(1(1(1(1(z0)))))))), 0'(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)) 0'(1(2(1(1(1(0(2(0(2(z0)))))))))) -> c7(0'(2(0(2(0(2(0(2(0(1(2(z0))))))))))), 2'(0(2(0(2(0(2(0(1(2(z0)))))))))), 0'(2(0(2(0(2(0(1(2(z0))))))))), 2'(0(2(0(2(0(1(2(z0)))))))), 0'(2(0(2(0(1(2(z0))))))), 2'(0(2(0(1(2(z0)))))), 0'(2(0(1(2(z0))))), 2'(0(1(2(z0)))), 0'(1(2(z0))), 1'(2(z0)), 2'(z0)) 0'(1(0(1(2(0(0(1(0(0(1(2(1(0(1(0(z0)))))))))))))))) -> c8(0'(1(1(1(1(2(0(2(1(0(0(0(1(0(0(0(z0)))))))))))))))), 1'(1(1(1(2(0(2(1(0(0(0(1(0(0(0(z0))))))))))))))), 1'(1(1(2(0(2(1(0(0(0(1(0(0(0(z0)))))))))))))), 1'(1(2(0(2(1(0(0(0(1(0(0(0(z0))))))))))))), 1'(2(0(2(1(0(0(0(1(0(0(0(z0)))))))))))), 2'(0(2(1(0(0(0(1(0(0(0(z0))))))))))), 0'(2(1(0(0(0(1(0(0(0(z0)))))))))), 2'(1(0(0(0(1(0(0(0(z0))))))))), 1'(0(0(0(1(0(0(0(z0)))))))), 0'(0(0(1(0(0(0(z0))))))), 0'(0(1(0(0(0(z0)))))), 0'(1(0(0(0(z0))))), 1'(0(0(0(z0)))), 0'(0(0(z0))), 0'(0(z0)), 0'(z0)) 0'(1(0(1(1(0(1(2(2(1(1(1(0(2(1(1(1(z0))))))))))))))))) -> c9(0'(2(1(1(0(2(2(0(2(2(0(0(2(0(1(2(1(2(z0)))))))))))))))))), 2'(1(1(0(2(2(0(2(2(0(0(2(0(1(2(1(2(z0))))))))))))))))), 1'(1(0(2(2(0(2(2(0(0(2(0(1(2(1(2(z0)))))))))))))))), 1'(0(2(2(0(2(2(0(0(2(0(1(2(1(2(z0))))))))))))))), 0'(2(2(0(2(2(0(0(2(0(1(2(1(2(z0)))))))))))))), 2'(2(0(2(2(0(0(2(0(1(2(1(2(z0))))))))))))), 2'(0(2(2(0(0(2(0(1(2(1(2(z0)))))))))))), 0'(2(2(0(0(2(0(1(2(1(2(z0))))))))))), 2'(2(0(0(2(0(1(2(1(2(z0)))))))))), 2'(0(0(2(0(1(2(1(2(z0))))))))), 0'(0(2(0(1(2(1(2(z0)))))))), 0'(2(0(1(2(1(2(z0))))))), 2'(0(1(2(1(2(z0)))))), 0'(1(2(1(2(z0))))), 1'(2(1(2(z0)))), 2'(1(2(z0))), 1'(2(z0)), 2'(z0)) 0'(1(2(0(1(1(1(1(2(2(0(2(2(1(0(0(0(1(0(2(1(1(1(z0))))))))))))))))))))))) -> c10(0'(1(0(0(2(0(1(1(2(2(0(0(1(0(2(0(1(1(1(1(1(2(2(2(z0)))))))))))))))))))))))), 1'(0(0(2(0(1(1(2(2(0(0(1(0(2(0(1(1(1(1(1(2(2(2(z0))))))))))))))))))))))), 0'(0(2(0(1(1(2(2(0(0(1(0(2(0(1(1(1(1(1(2(2(2(z0)))))))))))))))))))))), 0'(2(0(1(1(2(2(0(0(1(0(2(0(1(1(1(1(1(2(2(2(z0))))))))))))))))))))), 2'(0(1(1(2(2(0(0(1(0(2(0(1(1(1(1(1(2(2(2(z0)))))))))))))))))))), 0'(1(1(2(2(0(0(1(0(2(0(1(1(1(1(1(2(2(2(z0))))))))))))))))))), 1'(1(2(2(0(0(1(0(2(0(1(1(1(1(1(2(2(2(z0)))))))))))))))))), 1'(2(2(0(0(1(0(2(0(1(1(1(1(1(2(2(2(z0))))))))))))))))), 2'(2(0(0(1(0(2(0(1(1(1(1(1(2(2(2(z0)))))))))))))))), 2'(0(0(1(0(2(0(1(1(1(1(1(2(2(2(z0))))))))))))))), 0'(0(1(0(2(0(1(1(1(1(1(2(2(2(z0)))))))))))))), 0'(1(0(2(0(1(1(1(1(1(2(2(2(z0))))))))))))), 1'(0(2(0(1(1(1(1(1(2(2(2(z0)))))))))))), 0'(2(0(1(1(1(1(1(2(2(2(z0))))))))))), 2'(0(1(1(1(1(1(2(2(2(z0)))))))))), 0'(1(1(1(1(1(2(2(2(z0))))))))), 1'(1(1(1(1(2(2(2(z0)))))))), 1'(1(1(1(2(2(2(z0))))))), 1'(1(1(2(2(2(z0)))))), 1'(1(2(2(2(z0))))), 1'(2(2(2(z0)))), 2'(2(2(z0))), 2'(2(z0)), 2'(z0)) 0'(0(0(2(2(0(2(1(1(0(0(2(2(1(2(0(1(0(1(0(1(1(0(0(z0)))))))))))))))))))))))) -> c11(0'(0(1(0(2(0(0(1(2(2(2(2(2(1(0(1(2(1(2(0(1(1(1(1(1(z0))))))))))))))))))))))))), 0'(1(0(2(0(0(1(2(2(2(2(2(1(0(1(2(1(2(0(1(1(1(1(1(z0)))))))))))))))))))))))), 1'(0(2(0(0(1(2(2(2(2(2(1(0(1(2(1(2(0(1(1(1(1(1(z0))))))))))))))))))))))), 0'(2(0(0(1(2(2(2(2(2(1(0(1(2(1(2(0(1(1(1(1(1(z0)))))))))))))))))))))), 2'(0(0(1(2(2(2(2(2(1(0(1(2(1(2(0(1(1(1(1(1(z0))))))))))))))))))))), 0'(0(1(2(2(2(2(2(1(0(1(2(1(2(0(1(1(1(1(1(z0)))))))))))))))))))), 0'(1(2(2(2(2(2(1(0(1(2(1(2(0(1(1(1(1(1(z0))))))))))))))))))), 1'(2(2(2(2(2(1(0(1(2(1(2(0(1(1(1(1(1(z0)))))))))))))))))), 2'(2(2(2(2(1(0(1(2(1(2(0(1(1(1(1(1(z0))))))))))))))))), 2'(2(2(2(1(0(1(2(1(2(0(1(1(1(1(1(z0)))))))))))))))), 2'(2(2(1(0(1(2(1(2(0(1(1(1(1(1(z0))))))))))))))), 2'(2(1(0(1(2(1(2(0(1(1(1(1(1(z0)))))))))))))), 2'(1(0(1(2(1(2(0(1(1(1(1(1(z0))))))))))))), 1'(0(1(2(1(2(0(1(1(1(1(1(z0)))))))))))), 0'(1(2(1(2(0(1(1(1(1(1(z0))))))))))), 1'(2(1(2(0(1(1(1(1(1(z0)))))))))), 2'(1(2(0(1(1(1(1(1(z0))))))))), 1'(2(0(1(1(1(1(1(z0)))))))), 2'(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)) 0'(1(0(0(2(2(0(1(0(1(2(1(2(2(2(1(0(1(2(1(0(1(1(1(2(0(2(1(z0)))))))))))))))))))))))))))) -> c12(0'(0(2(0(0(2(2(0(0(1(1(2(1(1(1(2(0(0(1(1(2(0(2(0(2(2(1(2(2(z0))))))))))))))))))))))))))))), 0'(2(0(0(2(2(0(0(1(1(2(1(1(1(2(0(0(1(1(2(0(2(0(2(2(1(2(2(z0)))))))))))))))))))))))))))), 2'(0(0(2(2(0(0(1(1(2(1(1(1(2(0(0(1(1(2(0(2(0(2(2(1(2(2(z0))))))))))))))))))))))))))), 0'(0(2(2(0(0(1(1(2(1(1(1(2(0(0(1(1(2(0(2(0(2(2(1(2(2(z0)))))))))))))))))))))))))), 0'(2(2(0(0(1(1(2(1(1(1(2(0(0(1(1(2(0(2(0(2(2(1(2(2(z0))))))))))))))))))))))))), 2'(2(0(0(1(1(2(1(1(1(2(0(0(1(1(2(0(2(0(2(2(1(2(2(z0)))))))))))))))))))))))), 2'(0(0(1(1(2(1(1(1(2(0(0(1(1(2(0(2(0(2(2(1(2(2(z0))))))))))))))))))))))), 0'(0(1(1(2(1(1(1(2(0(0(1(1(2(0(2(0(2(2(1(2(2(z0)))))))))))))))))))))), 0'(1(1(2(1(1(1(2(0(0(1(1(2(0(2(0(2(2(1(2(2(z0))))))))))))))))))))), 1'(1(2(1(1(1(2(0(0(1(1(2(0(2(0(2(2(1(2(2(z0)))))))))))))))))))), 1'(2(1(1(1(2(0(0(1(1(2(0(2(0(2(2(1(2(2(z0))))))))))))))))))), 2'(1(1(1(2(0(0(1(1(2(0(2(0(2(2(1(2(2(z0)))))))))))))))))), 1'(1(1(2(0(0(1(1(2(0(2(0(2(2(1(2(2(z0))))))))))))))))), 1'(1(2(0(0(1(1(2(0(2(0(2(2(1(2(2(z0)))))))))))))))), 1'(2(0(0(1(1(2(0(2(0(2(2(1(2(2(z0))))))))))))))), 2'(0(0(1(1(2(0(2(0(2(2(1(2(2(z0)))))))))))))), 0'(0(1(1(2(0(2(0(2(2(1(2(2(z0))))))))))))), 0'(1(1(2(0(2(0(2(2(1(2(2(z0)))))))))))), 1'(1(2(0(2(0(2(2(1(2(2(z0))))))))))), 1'(2(0(2(0(2(2(1(2(2(z0)))))))))), 2'(0(2(0(2(2(1(2(2(z0))))))))), 0'(2(0(2(2(1(2(2(z0)))))))), 2'(0(2(2(1(2(2(z0))))))), 0'(2(2(1(2(2(z0)))))), 2'(2(1(2(2(z0))))), 2'(1(2(2(z0)))), 1'(2(2(z0))), 2'(2(z0)), 2'(z0)) 0'(0(2(0(2(1(1(2(0(2(1(1(2(0(1(0(1(2(1(1(1(0(0(0(0(2(2(1(2(0(z0)))))))))))))))))))))))))))))) -> c13(0'(0(2(0(1(1(1(0(0(2(1(1(2(0(0(2(2(0(1(1(1(2(0(2(0(2(1(2(1(0(z0)))))))))))))))))))))))))))))), 0'(2(0(1(1(1(0(0(2(1(1(2(0(0(2(2(0(1(1(1(2(0(2(0(2(1(2(1(0(z0))))))))))))))))))))))))))))), 2'(0(1(1(1(0(0(2(1(1(2(0(0(2(2(0(1(1(1(2(0(2(0(2(1(2(1(0(z0)))))))))))))))))))))))))))), 0'(1(1(1(0(0(2(1(1(2(0(0(2(2(0(1(1(1(2(0(2(0(2(1(2(1(0(z0))))))))))))))))))))))))))), 1'(1(1(0(0(2(1(1(2(0(0(2(2(0(1(1(1(2(0(2(0(2(1(2(1(0(z0)))))))))))))))))))))))))), 1'(1(0(0(2(1(1(2(0(0(2(2(0(1(1(1(2(0(2(0(2(1(2(1(0(z0))))))))))))))))))))))))), 1'(0(0(2(1(1(2(0(0(2(2(0(1(1(1(2(0(2(0(2(1(2(1(0(z0)))))))))))))))))))))))), 0'(0(2(1(1(2(0(0(2(2(0(1(1(1(2(0(2(0(2(1(2(1(0(z0))))))))))))))))))))))), 0'(2(1(1(2(0(0(2(2(0(1(1(1(2(0(2(0(2(1(2(1(0(z0)))))))))))))))))))))), 2'(1(1(2(0(0(2(2(0(1(1(1(2(0(2(0(2(1(2(1(0(z0))))))))))))))))))))), 1'(1(2(0(0(2(2(0(1(1(1(2(0(2(0(2(1(2(1(0(z0)))))))))))))))))))), 1'(2(0(0(2(2(0(1(1(1(2(0(2(0(2(1(2(1(0(z0))))))))))))))))))), 2'(0(0(2(2(0(1(1(1(2(0(2(0(2(1(2(1(0(z0)))))))))))))))))), 0'(0(2(2(0(1(1(1(2(0(2(0(2(1(2(1(0(z0))))))))))))))))), 0'(2(2(0(1(1(1(2(0(2(0(2(1(2(1(0(z0)))))))))))))))), 2'(2(0(1(1(1(2(0(2(0(2(1(2(1(0(z0))))))))))))))), 2'(0(1(1(1(2(0(2(0(2(1(2(1(0(z0)))))))))))))), 0'(1(1(1(2(0(2(0(2(1(2(1(0(z0))))))))))))), 1'(1(1(2(0(2(0(2(1(2(1(0(z0)))))))))))), 1'(1(2(0(2(0(2(1(2(1(0(z0))))))))))), 1'(2(0(2(0(2(1(2(1(0(z0)))))))))), 2'(0(2(0(2(1(2(1(0(z0))))))))), 0'(2(0(2(1(2(1(0(z0)))))))), 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1'(0(2(1(2(0(1(z0))))))), 0'(2(1(2(0(1(z0)))))), 2'(1(2(0(1(z0))))), 1'(2(0(1(z0)))), 2'(0(1(z0))), 0'(1(z0)), 1'(z0)) 2'(1(0(0(1(1(0(2(2(0(1(0(0(1(2(0(2(1(2(0(1(0(0(0(z0)))))))))))))))))))))))) -> c32(2'(1(1(0(1(2(0(0(2(0(2(0(2(1(0(1(2(0(1(0(2(1(1(2(0(0(z0)))))))))))))))))))))))))), 1'(1(0(1(2(0(0(2(0(2(0(2(1(0(1(2(0(1(0(2(1(1(2(0(0(z0))))))))))))))))))))))))), 1'(0(1(2(0(0(2(0(2(0(2(1(0(1(2(0(1(0(2(1(1(2(0(0(z0)))))))))))))))))))))))), 0'(1(2(0(0(2(0(2(0(2(1(0(1(2(0(1(0(2(1(1(2(0(0(z0))))))))))))))))))))))), 1'(2(0(0(2(0(2(0(2(1(0(1(2(0(1(0(2(1(1(2(0(0(z0)))))))))))))))))))))), 2'(0(0(2(0(2(0(2(1(0(1(2(0(1(0(2(1(1(2(0(0(z0))))))))))))))))))))), 0'(0(2(0(2(0(2(1(0(1(2(0(1(0(2(1(1(2(0(0(z0)))))))))))))))))))), 0'(2(0(2(0(2(1(0(1(2(0(1(0(2(1(1(2(0(0(z0))))))))))))))))))), 2'(0(2(0(2(1(0(1(2(0(1(0(2(1(1(2(0(0(z0)))))))))))))))))), 0'(2(0(2(1(0(1(2(0(1(0(2(1(1(2(0(0(z0))))))))))))))))), 2'(0(2(1(0(1(2(0(1(0(2(1(1(2(0(0(z0)))))))))))))))), 0'(2(1(0(1(2(0(1(0(2(1(1(2(0(0(z0))))))))))))))), 2'(1(0(1(2(0(1(0(2(1(1(2(0(0(z0)))))))))))))), 1'(0(1(2(0(1(0(2(1(1(2(0(0(z0))))))))))))), 0'(1(2(0(1(0(2(1(1(2(0(0(z0)))))))))))), 1'(2(0(1(0(2(1(1(2(0(0(z0))))))))))), 2'(0(1(0(2(1(1(2(0(0(z0)))))))))), 0'(1(0(2(1(1(2(0(0(z0))))))))), 1'(0(2(1(1(2(0(0(z0)))))))), 0'(2(1(1(2(0(0(z0))))))), 2'(1(1(2(0(0(z0)))))), 1'(1(2(0(0(z0))))), 1'(2(0(0(z0)))), 0'(0(z0)), 0'(z0)) 2'(2(2(1(0(0(2(0(1(0(2(1(0(2(1(0(0(1(1(0(0(0(2(0(2(z0))))))))))))))))))))))))) -> c33(0'(0(2(0(2(z0))))), 2'(0(2(z0))), 0'(2(z0)), 2'(z0)) 1'(0(2(1(0(0(1(0(1(2(z0)))))))))) -> c62(1'(2(0(0(1(1(0(0(1(2(z0)))))))))), 2'(0(0(1(1(0(0(1(2(z0))))))))), 0'(0(1(1(0(0(1(2(z0)))))))), 0'(1(1(0(0(1(2(z0))))))), 1'(1(0(0(1(2(z0)))))), 1'(0(0(1(2(z0))))), 0'(1(2(z0))), 1'(2(z0)), 2'(z0)) 1'(1(0(1(1(1(1(0(1(0(0(2(1(1(2(0(0(1(1(0(2(0(0(0(z0)))))))))))))))))))))))) -> c66(2'(0(0(2(1(0(2(2(2(0(0(2(2(2(2(0(0(0(2(0(1(2(0(0(0(z0))))))))))))))))))))))))), 0'(0(2(1(0(2(2(2(0(0(2(2(2(2(0(0(0(2(0(1(2(0(0(0(z0)))))))))))))))))))))))), 0'(2(1(0(2(2(2(0(0(2(2(2(2(0(0(0(2(0(1(2(0(0(0(z0))))))))))))))))))))))), 2'(1(0(2(2(2(0(0(2(2(2(2(0(0(0(2(0(1(2(0(0(0(z0)))))))))))))))))))))), 1'(0(2(2(2(0(0(2(2(2(2(0(0(0(2(0(1(2(0(0(0(z0))))))))))))))))))))), 0'(2(2(2(0(0(2(2(2(2(0(0(0(2(0(1(2(0(0(0(z0)))))))))))))))))))), 2'(2(2(0(0(2(2(2(2(0(0(0(2(0(1(2(0(0(0(z0))))))))))))))))))), 2'(2(0(0(2(2(2(2(0(0(0(2(0(1(2(0(0(0(z0)))))))))))))))))), 2'(0(0(2(2(2(2(0(0(0(2(0(1(2(0(0(0(z0))))))))))))))))), 0'(0(2(2(2(2(0(0(0(2(0(1(2(0(0(0(z0)))))))))))))))), 0'(2(2(2(2(0(0(0(2(0(1(2(0(0(0(z0))))))))))))))), 2'(2(2(2(0(0(0(2(0(1(2(0(0(0(z0)))))))))))))), 2'(2(2(0(0(0(2(0(1(2(0(0(0(z0))))))))))))), 2'(2(0(0(0(2(0(1(2(0(0(0(z0)))))))))))), 2'(0(0(0(2(0(1(2(0(0(0(z0))))))))))), 0'(0(0(2(0(1(2(0(0(0(z0)))))))))), 0'(0(2(0(1(2(0(0(0(z0))))))))), 0'(2(0(1(2(0(0(0(z0)))))))), 2'(0(1(2(0(0(0(z0))))))), 0'(1(2(0(0(0(z0)))))), 1'(2(0(0(0(z0))))), 0'(0(0(z0))), 0'(0(z0)), 0'(z0)) 1'(2(1(1(0(2(2(0(1(2(2(0(2(0(0(1(1(0(1(2(2(2(0(2(2(0(0(0(0(1(1(0(1(0(0(0(1(2(1(2(2(2(0(0(z0)))))))))))))))))))))))))))))))))))))))))))) -> c80(2'(2(2(0(0(z0))))), 2'(2(0(0(z0)))), 0'(0(z0)), 0'(z0)) ENCODE_0(z0) -> c53(0'(encArg(z0))) ENCODE_1(z0) -> c53(1'(encArg(z0))) ENCODE_2(z0) -> c53(2'(encArg(z0))) S tuples: 0'(0(1(1(0(0(0(1(z0)))))))) -> c6(0'(2(0(1(0(1(1(1(1(z0))))))))), 2'(0(1(0(1(1(1(1(z0)))))))), 0'(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)) 0'(1(2(1(1(1(0(2(0(2(z0)))))))))) -> c7(0'(2(0(2(0(2(0(2(0(1(2(z0))))))))))), 2'(0(2(0(2(0(2(0(1(2(z0)))))))))), 0'(2(0(2(0(2(0(1(2(z0))))))))), 2'(0(2(0(2(0(1(2(z0)))))))), 0'(2(0(2(0(1(2(z0))))))), 2'(0(2(0(1(2(z0)))))), 0'(2(0(1(2(z0))))), 2'(0(1(2(z0)))), 0'(1(2(z0))), 1'(2(z0)), 2'(z0)) 0'(1(0(1(2(0(0(1(0(0(1(2(1(0(1(0(z0)))))))))))))))) -> c8(0'(1(1(1(1(2(0(2(1(0(0(0(1(0(0(0(z0)))))))))))))))), 1'(1(1(1(2(0(2(1(0(0(0(1(0(0(0(z0))))))))))))))), 1'(1(1(2(0(2(1(0(0(0(1(0(0(0(z0)))))))))))))), 1'(1(2(0(2(1(0(0(0(1(0(0(0(z0))))))))))))), 1'(2(0(2(1(0(0(0(1(0(0(0(z0)))))))))))), 2'(0(2(1(0(0(0(1(0(0(0(z0))))))))))), 0'(2(1(0(0(0(1(0(0(0(z0)))))))))), 2'(1(0(0(0(1(0(0(0(z0))))))))), 1'(0(0(0(1(0(0(0(z0)))))))), 0'(0(0(1(0(0(0(z0))))))), 0'(0(1(0(0(0(z0)))))), 0'(1(0(0(0(z0))))), 1'(0(0(0(z0)))), 0'(0(0(z0))), 0'(0(z0)), 0'(z0)) 0'(1(0(1(1(0(1(2(2(1(1(1(0(2(1(1(1(z0))))))))))))))))) -> c9(0'(2(1(1(0(2(2(0(2(2(0(0(2(0(1(2(1(2(z0)))))))))))))))))), 2'(1(1(0(2(2(0(2(2(0(0(2(0(1(2(1(2(z0))))))))))))))))), 1'(1(0(2(2(0(2(2(0(0(2(0(1(2(1(2(z0)))))))))))))))), 1'(0(2(2(0(2(2(0(0(2(0(1(2(1(2(z0))))))))))))))), 0'(2(2(0(2(2(0(0(2(0(1(2(1(2(z0)))))))))))))), 2'(2(0(2(2(0(0(2(0(1(2(1(2(z0))))))))))))), 2'(0(2(2(0(0(2(0(1(2(1(2(z0)))))))))))), 0'(2(2(0(0(2(0(1(2(1(2(z0))))))))))), 2'(2(0(0(2(0(1(2(1(2(z0)))))))))), 2'(0(0(2(0(1(2(1(2(z0))))))))), 0'(0(2(0(1(2(1(2(z0)))))))), 0'(2(0(1(2(1(2(z0))))))), 2'(0(1(2(1(2(z0)))))), 0'(1(2(1(2(z0))))), 1'(2(1(2(z0)))), 2'(1(2(z0))), 1'(2(z0)), 2'(z0)) 0'(1(2(0(1(1(1(1(2(2(0(2(2(1(0(0(0(1(0(2(1(1(1(z0))))))))))))))))))))))) -> c10(0'(1(0(0(2(0(1(1(2(2(0(0(1(0(2(0(1(1(1(1(1(2(2(2(z0)))))))))))))))))))))))), 1'(0(0(2(0(1(1(2(2(0(0(1(0(2(0(1(1(1(1(1(2(2(2(z0))))))))))))))))))))))), 0'(0(2(0(1(1(2(2(0(0(1(0(2(0(1(1(1(1(1(2(2(2(z0)))))))))))))))))))))), 0'(2(0(1(1(2(2(0(0(1(0(2(0(1(1(1(1(1(2(2(2(z0))))))))))))))))))))), 2'(0(1(1(2(2(0(0(1(0(2(0(1(1(1(1(1(2(2(2(z0)))))))))))))))))))), 0'(1(1(2(2(0(0(1(0(2(0(1(1(1(1(1(2(2(2(z0))))))))))))))))))), 1'(1(2(2(0(0(1(0(2(0(1(1(1(1(1(2(2(2(z0)))))))))))))))))), 1'(2(2(0(0(1(0(2(0(1(1(1(1(1(2(2(2(z0))))))))))))))))), 2'(2(0(0(1(0(2(0(1(1(1(1(1(2(2(2(z0)))))))))))))))), 2'(0(0(1(0(2(0(1(1(1(1(1(2(2(2(z0))))))))))))))), 0'(0(1(0(2(0(1(1(1(1(1(2(2(2(z0)))))))))))))), 0'(1(0(2(0(1(1(1(1(1(2(2(2(z0))))))))))))), 1'(0(2(0(1(1(1(1(1(2(2(2(z0)))))))))))), 0'(2(0(1(1(1(1(1(2(2(2(z0))))))))))), 2'(0(1(1(1(1(1(2(2(2(z0)))))))))), 0'(1(1(1(1(1(2(2(2(z0))))))))), 1'(1(1(1(1(2(2(2(z0)))))))), 1'(1(1(1(2(2(2(z0))))))), 1'(1(1(2(2(2(z0)))))), 1'(1(2(2(2(z0))))), 1'(2(2(2(z0)))), 2'(2(2(z0))), 2'(2(z0)), 2'(z0)) 0'(0(0(2(2(0(2(1(1(0(0(2(2(1(2(0(1(0(1(0(1(1(0(0(z0)))))))))))))))))))))))) -> c11(0'(0(1(0(2(0(0(1(2(2(2(2(2(1(0(1(2(1(2(0(1(1(1(1(1(z0))))))))))))))))))))))))), 0'(1(0(2(0(0(1(2(2(2(2(2(1(0(1(2(1(2(0(1(1(1(1(1(z0)))))))))))))))))))))))), 1'(0(2(0(0(1(2(2(2(2(2(1(0(1(2(1(2(0(1(1(1(1(1(z0))))))))))))))))))))))), 0'(2(0(0(1(2(2(2(2(2(1(0(1(2(1(2(0(1(1(1(1(1(z0)))))))))))))))))))))), 2'(0(0(1(2(2(2(2(2(1(0(1(2(1(2(0(1(1(1(1(1(z0))))))))))))))))))))), 0'(0(1(2(2(2(2(2(1(0(1(2(1(2(0(1(1(1(1(1(z0)))))))))))))))))))), 0'(1(2(2(2(2(2(1(0(1(2(1(2(0(1(1(1(1(1(z0))))))))))))))))))), 1'(2(2(2(2(2(1(0(1(2(1(2(0(1(1(1(1(1(z0)))))))))))))))))), 2'(2(2(2(2(1(0(1(2(1(2(0(1(1(1(1(1(z0))))))))))))))))), 2'(2(2(2(1(0(1(2(1(2(0(1(1(1(1(1(z0)))))))))))))))), 2'(2(2(1(0(1(2(1(2(0(1(1(1(1(1(z0))))))))))))))), 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1'(0(1(2(0(2(2(1(0(2(1(2(2(2(0(0(1(2(0(2(0(0(1(1(0(2(1(2(0(1(z0)))))))))))))))))))))))))))))), 0'(1(2(0(2(2(1(0(2(1(2(2(2(0(0(1(2(0(2(0(0(1(1(0(2(1(2(0(1(z0))))))))))))))))))))))))))))), 1'(2(0(2(2(1(0(2(1(2(2(2(0(0(1(2(0(2(0(0(1(1(0(2(1(2(0(1(z0)))))))))))))))))))))))))))), 2'(0(2(2(1(0(2(1(2(2(2(0(0(1(2(0(2(0(0(1(1(0(2(1(2(0(1(z0))))))))))))))))))))))))))), 0'(2(2(1(0(2(1(2(2(2(0(0(1(2(0(2(0(0(1(1(0(2(1(2(0(1(z0)))))))))))))))))))))))))), 2'(2(1(0(2(1(2(2(2(0(0(1(2(0(2(0(0(1(1(0(2(1(2(0(1(z0))))))))))))))))))))))))), 2'(1(0(2(1(2(2(2(0(0(1(2(0(2(0(0(1(1(0(2(1(2(0(1(z0)))))))))))))))))))))))), 1'(0(2(1(2(2(2(0(0(1(2(0(2(0(0(1(1(0(2(1(2(0(1(z0))))))))))))))))))))))), 0'(2(1(2(2(2(0(0(1(2(0(2(0(0(1(1(0(2(1(2(0(1(z0)))))))))))))))))))))), 2'(1(2(2(2(0(0(1(2(0(2(0(0(1(1(0(2(1(2(0(1(z0))))))))))))))))))))), 1'(2(2(2(0(0(1(2(0(2(0(0(1(1(0(2(1(2(0(1(z0)))))))))))))))))))), 2'(2(2(0(0(1(2(0(2(0(0(1(1(0(2(1(2(0(1(z0))))))))))))))))))), 2'(2(0(0(1(2(0(2(0(0(1(1(0(2(1(2(0(1(z0)))))))))))))))))), 2'(0(0(1(2(0(2(0(0(1(1(0(2(1(2(0(1(z0))))))))))))))))), 0'(0(1(2(0(2(0(0(1(1(0(2(1(2(0(1(z0)))))))))))))))), 0'(1(2(0(2(0(0(1(1(0(2(1(2(0(1(z0))))))))))))))), 1'(2(0(2(0(0(1(1(0(2(1(2(0(1(z0)))))))))))))), 2'(0(2(0(0(1(1(0(2(1(2(0(1(z0))))))))))))), 0'(2(0(0(1(1(0(2(1(2(0(1(z0)))))))))))), 2'(0(0(1(1(0(2(1(2(0(1(z0))))))))))), 0'(0(1(1(0(2(1(2(0(1(z0)))))))))), 0'(1(1(0(2(1(2(0(1(z0))))))))), 1'(1(0(2(1(2(0(1(z0)))))))), 1'(0(2(1(2(0(1(z0))))))), 0'(2(1(2(0(1(z0)))))), 2'(1(2(0(1(z0))))), 1'(2(0(1(z0)))), 2'(0(1(z0))), 0'(1(z0)), 1'(z0)) 2'(1(0(0(1(1(0(2(2(0(1(0(0(1(2(0(2(1(2(0(1(0(0(0(z0)))))))))))))))))))))))) -> c32(2'(1(1(0(1(2(0(0(2(0(2(0(2(1(0(1(2(0(1(0(2(1(1(2(0(0(z0)))))))))))))))))))))))))), 1'(1(0(1(2(0(0(2(0(2(0(2(1(0(1(2(0(1(0(2(1(1(2(0(0(z0))))))))))))))))))))))))), 1'(0(1(2(0(0(2(0(2(0(2(1(0(1(2(0(1(0(2(1(1(2(0(0(z0)))))))))))))))))))))))), 0'(1(2(0(0(2(0(2(0(2(1(0(1(2(0(1(0(2(1(1(2(0(0(z0))))))))))))))))))))))), 1'(2(0(0(2(0(2(0(2(1(0(1(2(0(1(0(2(1(1(2(0(0(z0)))))))))))))))))))))), 2'(0(0(2(0(2(0(2(1(0(1(2(0(1(0(2(1(1(2(0(0(z0))))))))))))))))))))), 0'(0(2(0(2(0(2(1(0(1(2(0(1(0(2(1(1(2(0(0(z0)))))))))))))))))))), 0'(2(0(2(0(2(1(0(1(2(0(1(0(2(1(1(2(0(0(z0))))))))))))))))))), 2'(0(2(0(2(1(0(1(2(0(1(0(2(1(1(2(0(0(z0)))))))))))))))))), 0'(2(0(2(1(0(1(2(0(1(0(2(1(1(2(0(0(z0))))))))))))))))), 2'(0(2(1(0(1(2(0(1(0(2(1(1(2(0(0(z0)))))))))))))))), 0'(2(1(0(1(2(0(1(0(2(1(1(2(0(0(z0))))))))))))))), 2'(1(0(1(2(0(1(0(2(1(1(2(0(0(z0)))))))))))))), 1'(0(1(2(0(1(0(2(1(1(2(0(0(z0))))))))))))), 0'(1(2(0(1(0(2(1(1(2(0(0(z0)))))))))))), 1'(2(0(1(0(2(1(1(2(0(0(z0))))))))))), 2'(0(1(0(2(1(1(2(0(0(z0)))))))))), 0'(1(0(2(1(1(2(0(0(z0))))))))), 1'(0(2(1(1(2(0(0(z0)))))))), 0'(2(1(1(2(0(0(z0))))))), 2'(1(1(2(0(0(z0)))))), 1'(1(2(0(0(z0))))), 1'(2(0(0(z0)))), 0'(0(z0)), 0'(z0)) 2'(2(2(1(0(0(2(0(1(0(2(1(0(2(1(0(0(1(1(0(0(0(2(0(2(z0))))))))))))))))))))))))) -> c33(0'(0(2(0(2(z0))))), 2'(0(2(z0))), 0'(2(z0)), 2'(z0)) 1'(0(2(1(0(0(1(0(1(2(z0)))))))))) -> c62(1'(2(0(0(1(1(0(0(1(2(z0)))))))))), 2'(0(0(1(1(0(0(1(2(z0))))))))), 0'(0(1(1(0(0(1(2(z0)))))))), 0'(1(1(0(0(1(2(z0))))))), 1'(1(0(0(1(2(z0)))))), 1'(0(0(1(2(z0))))), 0'(1(2(z0))), 1'(2(z0)), 2'(z0)) 1'(1(0(1(1(1(1(0(1(0(0(2(1(1(2(0(0(1(1(0(2(0(0(0(z0)))))))))))))))))))))))) -> c66(2'(0(0(2(1(0(2(2(2(0(0(2(2(2(2(0(0(0(2(0(1(2(0(0(0(z0))))))))))))))))))))))))), 0'(0(2(1(0(2(2(2(0(0(2(2(2(2(0(0(0(2(0(1(2(0(0(0(z0)))))))))))))))))))))))), 0'(2(1(0(2(2(2(0(0(2(2(2(2(0(0(0(2(0(1(2(0(0(0(z0))))))))))))))))))))))), 2'(1(0(2(2(2(0(0(2(2(2(2(0(0(0(2(0(1(2(0(0(0(z0)))))))))))))))))))))), 1'(0(2(2(2(0(0(2(2(2(2(0(0(0(2(0(1(2(0(0(0(z0))))))))))))))))))))), 0'(2(2(2(0(0(2(2(2(2(0(0(0(2(0(1(2(0(0(0(z0)))))))))))))))))))), 2'(2(2(0(0(2(2(2(2(0(0(0(2(0(1(2(0(0(0(z0))))))))))))))))))), 2'(2(0(0(2(2(2(2(0(0(0(2(0(1(2(0(0(0(z0)))))))))))))))))), 2'(0(0(2(2(2(2(0(0(0(2(0(1(2(0(0(0(z0))))))))))))))))), 0'(0(2(2(2(2(0(0(0(2(0(1(2(0(0(0(z0)))))))))))))))), 0'(2(2(2(2(0(0(0(2(0(1(2(0(0(0(z0))))))))))))))), 2'(2(2(2(0(0(0(2(0(1(2(0(0(0(z0)))))))))))))), 2'(2(2(0(0(0(2(0(1(2(0(0(0(z0))))))))))))), 2'(2(0(0(0(2(0(1(2(0(0(0(z0)))))))))))), 2'(0(0(0(2(0(1(2(0(0(0(z0))))))))))), 0'(0(0(2(0(1(2(0(0(0(z0)))))))))), 0'(0(2(0(1(2(0(0(0(z0))))))))), 0'(2(0(1(2(0(0(0(z0)))))))), 2'(0(1(2(0(0(0(z0))))))), 0'(1(2(0(0(0(z0)))))), 1'(2(0(0(0(z0))))), 0'(0(0(z0))), 0'(0(z0)), 0'(z0)) 1'(2(1(1(0(2(2(0(1(2(2(0(2(0(0(1(1(0(1(2(2(2(0(2(2(0(0(0(0(1(1(0(1(0(0(0(1(2(1(2(2(2(0(0(z0)))))))))))))))))))))))))))))))))))))))))))) -> c80(2'(2(2(0(0(z0))))), 2'(2(0(0(z0)))), 0'(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, 0'_1, 2'_1, 1'_1, ENCODE_0_1, ENCODE_1_1, ENCODE_2_1 Compound Symbols: c_2, c1_2, c2_2, c6_9, c7_11, c8_16, c9_18, c10_24, c11_25, c12_29, c13_30, c14_31, c15_32, c16_32, c17_35, c18_37, c19_39, c20_38, c21_43, c22_42, c23_45, c24_43, c25_46, c26_8, c27_14, c28_22, c29_22, c30_23, c31_23, c34_29, c35_29, c36_31, c37_35, c38_36, c39_36, c40_35, c41_35, c42_36, c43_37, c44_39, c45_40, c46_42, c47_39, c48_41, c49_40, c50_40, c51_40, c52_42, c54_43, c55_43, c56_44, c57_46, c58_50, c59_49, c60_49, c61_9, c63_13, c64_20, c65_22, c67_27, c68_29, c69_31, c70_31, c71_32, c72_37, c74_37, c75_37, c76_39, c77_41, c78_43, c79_45, c32_25, c33_4, c62_9, c66_24, c80_4, c53_1 ---------------------------------------- (45) 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)) 2(1(1(2(0(2(0(2(0(1(1(0(2(2(2(2(1(1(1(0(0(0(1(1(0(0(0(1(2(0(0(0(0(1(0(1(2(1(2(2(0(1(z0)))))))))))))))))))))))))))))))))))))))))) -> 2(2(2(0(0(1(2(0(0(2(0(1(1(0(2(0(1(2(0(1(0(0(2(0(2(1(1(0(2(1(0(0(2(2(1(2(2(2(0(1(1(2(0(2(0(z0))))))))))))))))))))))))))))))))))))))))))))) 1(1(1(0(1(2(2(2(2(0(1(0(2(2(0(0(0(1(2(0(0(0(2(2(1(0(0(0(0(1(1(0(0(0(1(z0))))))))))))))))))))))))))))))))))) -> 1(1(1(1(2(0(1(1(1(0(1(0(2(0(0(1(1(2(1(0(2(2(0(0(0(0(1(2(0(1(0(0(2(0(1(2(0(z0))))))))))))))))))))))))))))))))))))) ---------------------------------------- (46) 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(0(1(1(0(0(0(1(z0)))))))) -> 0(2(0(1(0(1(1(1(1(z0))))))))) 0(1(2(1(1(1(0(2(0(2(z0)))))))))) -> 0(2(0(2(0(2(0(2(0(1(2(z0))))))))))) 0(1(0(1(2(0(0(1(0(0(1(2(1(0(1(0(z0)))))))))))))))) -> 0(1(1(1(1(2(0(2(1(0(0(0(1(0(0(0(z0)))))))))))))))) 0(1(0(1(1(0(1(2(2(1(1(1(0(2(1(1(1(z0))))))))))))))))) -> 0(2(1(1(0(2(2(0(2(2(0(0(2(0(1(2(1(2(z0)))))))))))))))))) 0(1(2(0(1(1(1(1(2(2(0(2(2(1(0(0(0(1(0(2(1(1(1(z0))))))))))))))))))))))) -> 0(1(0(0(2(0(1(1(2(2(0(0(1(0(2(0(1(1(1(1(1(2(2(2(z0)))))))))))))))))))))))) 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2(1(2(2(2(1(1(1(1(1(1(0(1(0(0(2(2(2(0(1(1(1(0(2(1(1(2(1(2(0(0(0(0(2(1(1(0(2(1(1(0(0(0(1(0(0(1(z0))))))))))))))))))))))))))))))))))))))))))))))) -> 0(2(2(2(1(2(1(2(0(1(1(1(1(1(2(2(0(0(0(2(2(2(1(1(0(1(1(0(1(1(1(2(0(0(2(0(1(1(2(2(2(1(0(2(2(2(2(2(0(z0))))))))))))))))))))))))))))))))))))))))))))))))) 1(2(1(0(0(1(2(1(1(z0))))))))) -> 1(0(2(0(1(1(2(1(1(z0))))))))) 1(0(2(1(0(0(1(0(1(2(z0)))))))))) -> 1(2(0(0(1(1(0(0(1(2(z0)))))))))) 1(1(0(1(2(2(2(2(0(2(1(1(z0)))))))))))) -> 1(1(0(1(2(2(0(2(0(1(2(2(2(z0))))))))))))) 1(2(0(1(0(0(0(1(2(2(1(1(2(0(1(0(1(1(0(z0))))))))))))))))))) -> 2(0(2(1(0(2(2(2(0(0(0(2(2(2(2(0(2(0(2(0(z0)))))))))))))))))))) 1(0(1(0(2(2(2(2(0(1(1(0(1(2(2(0(2(1(0(1(1(z0))))))))))))))))))))) -> 2(0(0(0(2(2(1(2(0(2(0(1(0(0(2(0(2(0(0(2(1(0(z0)))))))))))))))))))))) 1(1(0(1(1(1(1(0(1(0(0(2(1(1(2(0(0(1(1(0(2(0(0(0(z0)))))))))))))))))))))))) -> 2(0(0(2(1(0(2(2(2(0(0(2(2(2(2(0(0(0(2(0(1(2(0(0(0(z0))))))))))))))))))))))))) 1(0(0(1(2(0(0(0(1(1(1(1(2(2(2(2(2(1(1(2(1(0(1(0(1(0(z0)))))))))))))))))))))))))) -> 1(0(1(0(2(2(0(2(0(1(1(2(2(1(2(2(2(2(0(0(1(1(0(1(0(2(0(z0))))))))))))))))))))))))))) 1(2(1(0(0(1(1(0(1(0(2(1(2(0(2(0(1(1(2(1(2(0(1(1(0(0(0(1(z0)))))))))))))))))))))))))))) -> 1(1(1(1(2(0(2(0(0(1(2(0(0(0(0(2(2(1(0(0(2(0(1(2(0(1(2(0(0(z0))))))))))))))))))))))))))))) 1(2(0(0(0(2(0(1(1(2(2(0(0(2(2(0(2(1(1(1(2(1(1(1(0(1(2(1(2(1(z0)))))))))))))))))))))))))))))) -> 1(0(2(0(1(1(2(0(2(1(0(0(1(2(2(0(1(1(2(0(2(2(1(2(2(2(2(1(1(1(2(z0))))))))))))))))))))))))))))))) 1(2(1(1(1(2(1(0(2(2(0(1(2(0(0(1(0(0(2(1(2(1(2(1(0(1(0(2(1(0(z0)))))))))))))))))))))))))))))) -> 1(0(1(0(0(0(2(0(1(1(1(2(2(2(2(1(0(2(0(2(2(1(1(0(1(2(2(1(1(1(0(z0))))))))))))))))))))))))))))))) 1(2(2(2(1(0(0(2(0(0(1(1(1(2(1(1(1(2(2(1(2(0(2(1(0(1(2(1(1(1(2(2(z0)))))))))))))))))))))))))))))))) -> 1(1(1(2(1(0(2(1(0(2(1(1(2(2(1(2(1(1(1(2(1(0(2(0(0(2(0(2(2(1(1(2(z0)))))))))))))))))))))))))))))))) 1(2(2(0(2(1(2(0(2(2(1(1(1(2(1(2(1(2(2(2(2(2(0(0(0(0(1(0(0(0(1(1(2(0(z0)))))))))))))))))))))))))))))))))) -> 1(1(2(1(1(1(0(1(2(0(0(1(2(2(0(2(0(0(2(0(1(0(2(0(0(1(0(0(0(2(0(2(1(2(2(0(1(z0))))))))))))))))))))))))))))))))))))) 1(1(2(1(1(0(2(0(2(0(0(0(1(0(1(1(1(1(2(2(1(1(0(2(2(2(0(2(1(0(1(2(0(0(0(z0))))))))))))))))))))))))))))))))))) -> 1(0(2(0(1(0(2(0(1(1(0(0(0(1(2(0(1(1(1(0(2(0(2(0(0(2(0(2(2(1(2(0(2(2(0(1(0(z0))))))))))))))))))))))))))))))))))))) 1(0(1(2(0(1(0(2(2(1(2(2(0(0(0(2(1(1(2(0(2(1(1(1(0(1(0(0(0(2(1(1(2(1(0(0(z0)))))))))))))))))))))))))))))))))))) -> 1(1(2(1(0(2(1(1(2(0(2(1(1(1(2(2(0(2(1(2(2(1(1(1(0(1(0(2(0(0(0(2(0(2(0(0(1(z0))))))))))))))))))))))))))))))))))))) 1(1(2(1(0(2(2(1(2(2(2(0(1(1(0(0(2(1(0(1(2(2(2(1(1(1(2(0(0(0(1(1(0(1(1(1(2(0(z0)))))))))))))))))))))))))))))))))))))) -> 2(0(0(2(0(2(1(0(0(1(0(0(0(1(1(1(0(2(1(0(1(2(0(0(1(1(2(2(1(0(0(2(0(0(1(2(1(0(1(z0))))))))))))))))))))))))))))))))))))))) 1(2(2(0(1(2(2(2(0(1(1(1(2(1(1(0(0(1(2(1(2(2(2(1(0(0(0(0(1(1(2(1(0(0(1(0(2(1(1(z0))))))))))))))))))))))))))))))))))))))) -> 1(2(2(1(2(1(1(1(1(1(2(2(1(1(1(0(2(2(2(0(2(0(0(2(2(0(0(0(2(0(2(0(2(2(2(1(0(2(0(2(2(z0))))))))))))))))))))))))))))))))))))))))) 1(1(1(2(0(1(0(1(0(1(1(1(2(1(1(2(1(2(2(1(1(2(1(1(2(1(2(0(0(2(2(2(1(2(0(0(0(0(1(1(0(0(z0)))))))))))))))))))))))))))))))))))))))))) -> 1(2(1(0(1(2(0(1(0(2(0(2(2(2(0(1(1(1(1(2(1(0(2(2(1(0(2(2(1(1(0(2(1(2(0(2(0(2(1(0(0(0(0(z0))))))))))))))))))))))))))))))))))))))))))) 1(2(1(2(1(0(2(2(2(1(2(0(0(2(2(0(1(2(1(1(2(1(0(1(2(2(1(2(0(1(2(2(1(2(2(1(1(2(1(0(1(1(1(z0))))))))))))))))))))))))))))))))))))))))))) -> 1(0(0(2(1(0(1(2(2(1(0(1(2(1(0(1(0(1(2(0(2(2(1(0(2(1(2(2(2(0(0(1(2(0(2(0(0(1(1(0(2(1(2(0(1(z0))))))))))))))))))))))))))))))))))))))))))))) 1(2(1(1(0(2(2(0(1(2(2(0(2(0(0(1(1(0(1(2(2(2(0(2(2(0(0(0(0(1(1(0(1(0(0(0(1(2(1(2(2(2(0(0(z0)))))))))))))))))))))))))))))))))))))))))))) -> 1(1(2(1(0(2(0(2(2(2(1(1(1(1(0(2(1(1(2(1(0(0(2(1(0(0(2(0(2(1(2(2(1(0(1(1(2(0(1(0(2(2(2(0(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)) 0'(0(1(1(0(0(0(1(z0)))))))) -> c6(0'(2(0(1(0(1(1(1(1(z0))))))))), 2'(0(1(0(1(1(1(1(z0)))))))), 0'(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)) 0'(1(2(1(1(1(0(2(0(2(z0)))))))))) -> c7(0'(2(0(2(0(2(0(2(0(1(2(z0))))))))))), 2'(0(2(0(2(0(2(0(1(2(z0)))))))))), 0'(2(0(2(0(2(0(1(2(z0))))))))), 2'(0(2(0(2(0(1(2(z0)))))))), 0'(2(0(2(0(1(2(z0))))))), 2'(0(2(0(1(2(z0)))))), 0'(2(0(1(2(z0))))), 2'(0(1(2(z0)))), 0'(1(2(z0))), 1'(2(z0)), 2'(z0)) 0'(1(0(1(2(0(0(1(0(0(1(2(1(0(1(0(z0)))))))))))))))) -> c8(0'(1(1(1(1(2(0(2(1(0(0(0(1(0(0(0(z0)))))))))))))))), 1'(1(1(1(2(0(2(1(0(0(0(1(0(0(0(z0))))))))))))))), 1'(1(1(2(0(2(1(0(0(0(1(0(0(0(z0)))))))))))))), 1'(1(2(0(2(1(0(0(0(1(0(0(0(z0))))))))))))), 1'(2(0(2(1(0(0(0(1(0(0(0(z0)))))))))))), 2'(0(2(1(0(0(0(1(0(0(0(z0))))))))))), 0'(2(1(0(0(0(1(0(0(0(z0)))))))))), 2'(1(0(0(0(1(0(0(0(z0))))))))), 1'(0(0(0(1(0(0(0(z0)))))))), 0'(0(0(1(0(0(0(z0))))))), 0'(0(1(0(0(0(z0)))))), 0'(1(0(0(0(z0))))), 1'(0(0(0(z0)))), 0'(0(0(z0))), 0'(0(z0)), 0'(z0)) 0'(1(0(1(1(0(1(2(2(1(1(1(0(2(1(1(1(z0))))))))))))))))) -> c9(0'(2(1(1(0(2(2(0(2(2(0(0(2(0(1(2(1(2(z0)))))))))))))))))), 2'(1(1(0(2(2(0(2(2(0(0(2(0(1(2(1(2(z0))))))))))))))))), 1'(1(0(2(2(0(2(2(0(0(2(0(1(2(1(2(z0)))))))))))))))), 1'(0(2(2(0(2(2(0(0(2(0(1(2(1(2(z0))))))))))))))), 0'(2(2(0(2(2(0(0(2(0(1(2(1(2(z0)))))))))))))), 2'(2(0(2(2(0(0(2(0(1(2(1(2(z0))))))))))))), 2'(0(2(2(0(0(2(0(1(2(1(2(z0)))))))))))), 0'(2(2(0(0(2(0(1(2(1(2(z0))))))))))), 2'(2(0(0(2(0(1(2(1(2(z0)))))))))), 2'(0(0(2(0(1(2(1(2(z0))))))))), 0'(0(2(0(1(2(1(2(z0)))))))), 0'(2(0(1(2(1(2(z0))))))), 2'(0(1(2(1(2(z0)))))), 0'(1(2(1(2(z0))))), 1'(2(1(2(z0)))), 2'(1(2(z0))), 1'(2(z0)), 2'(z0)) 0'(1(2(0(1(1(1(1(2(2(0(2(2(1(0(0(0(1(0(2(1(1(1(z0))))))))))))))))))))))) -> c10(0'(1(0(0(2(0(1(1(2(2(0(0(1(0(2(0(1(1(1(1(1(2(2(2(z0)))))))))))))))))))))))), 1'(0(0(2(0(1(1(2(2(0(0(1(0(2(0(1(1(1(1(1(2(2(2(z0))))))))))))))))))))))), 0'(0(2(0(1(1(2(2(0(0(1(0(2(0(1(1(1(1(1(2(2(2(z0)))))))))))))))))))))), 0'(2(0(1(1(2(2(0(0(1(0(2(0(1(1(1(1(1(2(2(2(z0))))))))))))))))))))), 2'(0(1(1(2(2(0(0(1(0(2(0(1(1(1(1(1(2(2(2(z0)))))))))))))))))))), 0'(1(1(2(2(0(0(1(0(2(0(1(1(1(1(1(2(2(2(z0))))))))))))))))))), 1'(1(2(2(0(0(1(0(2(0(1(1(1(1(1(2(2(2(z0)))))))))))))))))), 1'(2(2(0(0(1(0(2(0(1(1(1(1(1(2(2(2(z0))))))))))))))))), 2'(2(0(0(1(0(2(0(1(1(1(1(1(2(2(2(z0)))))))))))))))), 2'(0(0(1(0(2(0(1(1(1(1(1(2(2(2(z0))))))))))))))), 0'(0(1(0(2(0(1(1(1(1(1(2(2(2(z0)))))))))))))), 0'(1(0(2(0(1(1(1(1(1(2(2(2(z0))))))))))))), 1'(0(2(0(1(1(1(1(1(2(2(2(z0)))))))))))), 0'(2(0(1(1(1(1(1(2(2(2(z0))))))))))), 2'(0(1(1(1(1(1(2(2(2(z0)))))))))), 0'(1(1(1(1(1(2(2(2(z0))))))))), 1'(1(1(1(1(2(2(2(z0)))))))), 1'(1(1(1(2(2(2(z0))))))), 1'(1(1(2(2(2(z0)))))), 1'(1(2(2(2(z0))))), 1'(2(2(2(z0)))), 2'(2(2(z0))), 2'(2(z0)), 2'(z0)) 0'(0(0(2(2(0(2(1(1(0(0(2(2(1(2(0(1(0(1(0(1(1(0(0(z0)))))))))))))))))))))))) -> c11(0'(0(1(0(2(0(0(1(2(2(2(2(2(1(0(1(2(1(2(0(1(1(1(1(1(z0))))))))))))))))))))))))), 0'(1(0(2(0(0(1(2(2(2(2(2(1(0(1(2(1(2(0(1(1(1(1(1(z0)))))))))))))))))))))))), 1'(0(2(0(0(1(2(2(2(2(2(1(0(1(2(1(2(0(1(1(1(1(1(z0))))))))))))))))))))))), 0'(2(0(0(1(2(2(2(2(2(1(0(1(2(1(2(0(1(1(1(1(1(z0)))))))))))))))))))))), 2'(0(0(1(2(2(2(2(2(1(0(1(2(1(2(0(1(1(1(1(1(z0))))))))))))))))))))), 0'(0(1(2(2(2(2(2(1(0(1(2(1(2(0(1(1(1(1(1(z0)))))))))))))))))))), 0'(1(2(2(2(2(2(1(0(1(2(1(2(0(1(1(1(1(1(z0))))))))))))))))))), 1'(2(2(2(2(2(1(0(1(2(1(2(0(1(1(1(1(1(z0)))))))))))))))))), 2'(2(2(2(2(1(0(1(2(1(2(0(1(1(1(1(1(z0))))))))))))))))), 2'(2(2(2(1(0(1(2(1(2(0(1(1(1(1(1(z0)))))))))))))))), 2'(2(2(1(0(1(2(1(2(0(1(1(1(1(1(z0))))))))))))))), 2'(2(1(0(1(2(1(2(0(1(1(1(1(1(z0)))))))))))))), 2'(1(0(1(2(1(2(0(1(1(1(1(1(z0))))))))))))), 1'(0(1(2(1(2(0(1(1(1(1(1(z0)))))))))))), 0'(1(2(1(2(0(1(1(1(1(1(z0))))))))))), 1'(2(1(2(0(1(1(1(1(1(z0)))))))))), 2'(1(2(0(1(1(1(1(1(z0))))))))), 1'(2(0(1(1(1(1(1(z0)))))))), 2'(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)) 0'(1(0(0(2(2(0(1(0(1(2(1(2(2(2(1(0(1(2(1(0(1(1(1(2(0(2(1(z0)))))))))))))))))))))))))))) -> c12(0'(0(2(0(0(2(2(0(0(1(1(2(1(1(1(2(0(0(1(1(2(0(2(0(2(2(1(2(2(z0))))))))))))))))))))))))))))), 0'(2(0(0(2(2(0(0(1(1(2(1(1(1(2(0(0(1(1(2(0(2(0(2(2(1(2(2(z0)))))))))))))))))))))))))))), 2'(0(0(2(2(0(0(1(1(2(1(1(1(2(0(0(1(1(2(0(2(0(2(2(1(2(2(z0))))))))))))))))))))))))))), 0'(0(2(2(0(0(1(1(2(1(1(1(2(0(0(1(1(2(0(2(0(2(2(1(2(2(z0)))))))))))))))))))))))))), 0'(2(2(0(0(1(1(2(1(1(1(2(0(0(1(1(2(0(2(0(2(2(1(2(2(z0))))))))))))))))))))))))), 2'(2(0(0(1(1(2(1(1(1(2(0(0(1(1(2(0(2(0(2(2(1(2(2(z0)))))))))))))))))))))))), 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1'(2(2(1(0(1(2(1(0(1(0(1(2(0(2(2(1(0(2(1(2(2(2(0(0(1(2(0(2(0(0(1(1(0(2(1(2(0(1(z0))))))))))))))))))))))))))))))))))))))), 2'(2(1(0(1(2(1(0(1(0(1(2(0(2(2(1(0(2(1(2(2(2(0(0(1(2(0(2(0(0(1(1(0(2(1(2(0(1(z0)))))))))))))))))))))))))))))))))))))), 2'(1(0(1(2(1(0(1(0(1(2(0(2(2(1(0(2(1(2(2(2(0(0(1(2(0(2(0(0(1(1(0(2(1(2(0(1(z0))))))))))))))))))))))))))))))))))))), 1'(0(1(2(1(0(1(0(1(2(0(2(2(1(0(2(1(2(2(2(0(0(1(2(0(2(0(0(1(1(0(2(1(2(0(1(z0)))))))))))))))))))))))))))))))))))), 0'(1(2(1(0(1(0(1(2(0(2(2(1(0(2(1(2(2(2(0(0(1(2(0(2(0(0(1(1(0(2(1(2(0(1(z0))))))))))))))))))))))))))))))))))), 1'(2(1(0(1(0(1(2(0(2(2(1(0(2(1(2(2(2(0(0(1(2(0(2(0(0(1(1(0(2(1(2(0(1(z0)))))))))))))))))))))))))))))))))), 2'(1(0(1(0(1(2(0(2(2(1(0(2(1(2(2(2(0(0(1(2(0(2(0(0(1(1(0(2(1(2(0(1(z0))))))))))))))))))))))))))))))))), 1'(0(1(0(1(2(0(2(2(1(0(2(1(2(2(2(0(0(1(2(0(2(0(0(1(1(0(2(1(2(0(1(z0)))))))))))))))))))))))))))))))), 0'(1(0(1(2(0(2(2(1(0(2(1(2(2(2(0(0(1(2(0(2(0(0(1(1(0(2(1(2(0(1(z0))))))))))))))))))))))))))))))), 1'(0(1(2(0(2(2(1(0(2(1(2(2(2(0(0(1(2(0(2(0(0(1(1(0(2(1(2(0(1(z0)))))))))))))))))))))))))))))), 0'(1(2(0(2(2(1(0(2(1(2(2(2(0(0(1(2(0(2(0(0(1(1(0(2(1(2(0(1(z0))))))))))))))))))))))))))))), 1'(2(0(2(2(1(0(2(1(2(2(2(0(0(1(2(0(2(0(0(1(1(0(2(1(2(0(1(z0)))))))))))))))))))))))))))), 2'(0(2(2(1(0(2(1(2(2(2(0(0(1(2(0(2(0(0(1(1(0(2(1(2(0(1(z0))))))))))))))))))))))))))), 0'(2(2(1(0(2(1(2(2(2(0(0(1(2(0(2(0(0(1(1(0(2(1(2(0(1(z0)))))))))))))))))))))))))), 2'(2(1(0(2(1(2(2(2(0(0(1(2(0(2(0(0(1(1(0(2(1(2(0(1(z0))))))))))))))))))))))))), 2'(1(0(2(1(2(2(2(0(0(1(2(0(2(0(0(1(1(0(2(1(2(0(1(z0)))))))))))))))))))))))), 1'(0(2(1(2(2(2(0(0(1(2(0(2(0(0(1(1(0(2(1(2(0(1(z0))))))))))))))))))))))), 0'(2(1(2(2(2(0(0(1(2(0(2(0(0(1(1(0(2(1(2(0(1(z0)))))))))))))))))))))), 2'(1(2(2(2(0(0(1(2(0(2(0(0(1(1(0(2(1(2(0(1(z0))))))))))))))))))))), 1'(2(2(2(0(0(1(2(0(2(0(0(1(1(0(2(1(2(0(1(z0)))))))))))))))))))), 2'(2(2(0(0(1(2(0(2(0(0(1(1(0(2(1(2(0(1(z0))))))))))))))))))), 2'(2(0(0(1(2(0(2(0(0(1(1(0(2(1(2(0(1(z0)))))))))))))))))), 2'(0(0(1(2(0(2(0(0(1(1(0(2(1(2(0(1(z0))))))))))))))))), 0'(0(1(2(0(2(0(0(1(1(0(2(1(2(0(1(z0)))))))))))))))), 0'(1(2(0(2(0(0(1(1(0(2(1(2(0(1(z0))))))))))))))), 1'(2(0(2(0(0(1(1(0(2(1(2(0(1(z0)))))))))))))), 2'(0(2(0(0(1(1(0(2(1(2(0(1(z0))))))))))))), 0'(2(0(0(1(1(0(2(1(2(0(1(z0)))))))))))), 2'(0(0(1(1(0(2(1(2(0(1(z0))))))))))), 0'(0(1(1(0(2(1(2(0(1(z0)))))))))), 0'(1(1(0(2(1(2(0(1(z0))))))))), 1'(1(0(2(1(2(0(1(z0)))))))), 1'(0(2(1(2(0(1(z0))))))), 0'(2(1(2(0(1(z0)))))), 2'(1(2(0(1(z0))))), 1'(2(0(1(z0)))), 2'(0(1(z0))), 0'(1(z0)), 1'(z0)) 2'(1(0(0(1(1(0(2(2(0(1(0(0(1(2(0(2(1(2(0(1(0(0(0(z0)))))))))))))))))))))))) -> c32(2'(1(1(0(1(2(0(0(2(0(2(0(2(1(0(1(2(0(1(0(2(1(1(2(0(0(z0)))))))))))))))))))))))))), 1'(1(0(1(2(0(0(2(0(2(0(2(1(0(1(2(0(1(0(2(1(1(2(0(0(z0))))))))))))))))))))))))), 1'(0(1(2(0(0(2(0(2(0(2(1(0(1(2(0(1(0(2(1(1(2(0(0(z0)))))))))))))))))))))))), 0'(1(2(0(0(2(0(2(0(2(1(0(1(2(0(1(0(2(1(1(2(0(0(z0))))))))))))))))))))))), 1'(2(0(0(2(0(2(0(2(1(0(1(2(0(1(0(2(1(1(2(0(0(z0)))))))))))))))))))))), 2'(0(0(2(0(2(0(2(1(0(1(2(0(1(0(2(1(1(2(0(0(z0))))))))))))))))))))), 0'(0(2(0(2(0(2(1(0(1(2(0(1(0(2(1(1(2(0(0(z0)))))))))))))))))))), 0'(2(0(2(0(2(1(0(1(2(0(1(0(2(1(1(2(0(0(z0))))))))))))))))))), 2'(0(2(0(2(1(0(1(2(0(1(0(2(1(1(2(0(0(z0)))))))))))))))))), 0'(2(0(2(1(0(1(2(0(1(0(2(1(1(2(0(0(z0))))))))))))))))), 2'(0(2(1(0(1(2(0(1(0(2(1(1(2(0(0(z0)))))))))))))))), 0'(2(1(0(1(2(0(1(0(2(1(1(2(0(0(z0))))))))))))))), 2'(1(0(1(2(0(1(0(2(1(1(2(0(0(z0)))))))))))))), 1'(0(1(2(0(1(0(2(1(1(2(0(0(z0))))))))))))), 0'(1(2(0(1(0(2(1(1(2(0(0(z0)))))))))))), 1'(2(0(1(0(2(1(1(2(0(0(z0))))))))))), 2'(0(1(0(2(1(1(2(0(0(z0)))))))))), 0'(1(0(2(1(1(2(0(0(z0))))))))), 1'(0(2(1(1(2(0(0(z0)))))))), 0'(2(1(1(2(0(0(z0))))))), 2'(1(1(2(0(0(z0)))))), 1'(1(2(0(0(z0))))), 1'(2(0(0(z0)))), 0'(0(z0)), 0'(z0)) 2'(2(2(1(0(0(2(0(1(0(2(1(0(2(1(0(0(1(1(0(0(0(2(0(2(z0))))))))))))))))))))))))) -> c33(0'(0(2(0(2(z0))))), 2'(0(2(z0))), 0'(2(z0)), 2'(z0)) 1'(0(2(1(0(0(1(0(1(2(z0)))))))))) -> c62(1'(2(0(0(1(1(0(0(1(2(z0)))))))))), 2'(0(0(1(1(0(0(1(2(z0))))))))), 0'(0(1(1(0(0(1(2(z0)))))))), 0'(1(1(0(0(1(2(z0))))))), 1'(1(0(0(1(2(z0)))))), 1'(0(0(1(2(z0))))), 0'(1(2(z0))), 1'(2(z0)), 2'(z0)) 1'(1(0(1(1(1(1(0(1(0(0(2(1(1(2(0(0(1(1(0(2(0(0(0(z0)))))))))))))))))))))))) -> c66(2'(0(0(2(1(0(2(2(2(0(0(2(2(2(2(0(0(0(2(0(1(2(0(0(0(z0))))))))))))))))))))))))), 0'(0(2(1(0(2(2(2(0(0(2(2(2(2(0(0(0(2(0(1(2(0(0(0(z0)))))))))))))))))))))))), 0'(2(1(0(2(2(2(0(0(2(2(2(2(0(0(0(2(0(1(2(0(0(0(z0))))))))))))))))))))))), 2'(1(0(2(2(2(0(0(2(2(2(2(0(0(0(2(0(1(2(0(0(0(z0)))))))))))))))))))))), 1'(0(2(2(2(0(0(2(2(2(2(0(0(0(2(0(1(2(0(0(0(z0))))))))))))))))))))), 0'(2(2(2(0(0(2(2(2(2(0(0(0(2(0(1(2(0(0(0(z0)))))))))))))))))))), 2'(2(2(0(0(2(2(2(2(0(0(0(2(0(1(2(0(0(0(z0))))))))))))))))))), 2'(2(0(0(2(2(2(2(0(0(0(2(0(1(2(0(0(0(z0)))))))))))))))))), 2'(0(0(2(2(2(2(0(0(0(2(0(1(2(0(0(0(z0))))))))))))))))), 0'(0(2(2(2(2(0(0(0(2(0(1(2(0(0(0(z0)))))))))))))))), 0'(2(2(2(2(0(0(0(2(0(1(2(0(0(0(z0))))))))))))))), 2'(2(2(2(0(0(0(2(0(1(2(0(0(0(z0)))))))))))))), 2'(2(2(0(0(0(2(0(1(2(0(0(0(z0))))))))))))), 2'(2(0(0(0(2(0(1(2(0(0(0(z0)))))))))))), 2'(0(0(0(2(0(1(2(0(0(0(z0))))))))))), 0'(0(0(2(0(1(2(0(0(0(z0)))))))))), 0'(0(2(0(1(2(0(0(0(z0))))))))), 0'(2(0(1(2(0(0(0(z0)))))))), 2'(0(1(2(0(0(0(z0))))))), 0'(1(2(0(0(0(z0)))))), 1'(2(0(0(0(z0))))), 0'(0(0(z0))), 0'(0(z0)), 0'(z0)) 1'(2(1(1(0(2(2(0(1(2(2(0(2(0(0(1(1(0(1(2(2(2(0(2(2(0(0(0(0(1(1(0(1(0(0(0(1(2(1(2(2(2(0(0(z0)))))))))))))))))))))))))))))))))))))))))))) -> c80(2'(2(2(0(0(z0))))), 2'(2(0(0(z0)))), 0'(0(z0)), 0'(z0)) ENCODE_0(z0) -> c53(0'(encArg(z0))) ENCODE_1(z0) -> c53(1'(encArg(z0))) ENCODE_2(z0) -> c53(2'(encArg(z0))) S tuples: 0'(0(1(1(0(0(0(1(z0)))))))) -> c6(0'(2(0(1(0(1(1(1(1(z0))))))))), 2'(0(1(0(1(1(1(1(z0)))))))), 0'(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)) 0'(1(2(1(1(1(0(2(0(2(z0)))))))))) -> c7(0'(2(0(2(0(2(0(2(0(1(2(z0))))))))))), 2'(0(2(0(2(0(2(0(1(2(z0)))))))))), 0'(2(0(2(0(2(0(1(2(z0))))))))), 2'(0(2(0(2(0(1(2(z0)))))))), 0'(2(0(2(0(1(2(z0))))))), 2'(0(2(0(1(2(z0)))))), 0'(2(0(1(2(z0))))), 2'(0(1(2(z0)))), 0'(1(2(z0))), 1'(2(z0)), 2'(z0)) 0'(1(0(1(2(0(0(1(0(0(1(2(1(0(1(0(z0)))))))))))))))) -> c8(0'(1(1(1(1(2(0(2(1(0(0(0(1(0(0(0(z0)))))))))))))))), 1'(1(1(1(2(0(2(1(0(0(0(1(0(0(0(z0))))))))))))))), 1'(1(1(2(0(2(1(0(0(0(1(0(0(0(z0)))))))))))))), 1'(1(2(0(2(1(0(0(0(1(0(0(0(z0))))))))))))), 1'(2(0(2(1(0(0(0(1(0(0(0(z0)))))))))))), 2'(0(2(1(0(0(0(1(0(0(0(z0))))))))))), 0'(2(1(0(0(0(1(0(0(0(z0)))))))))), 2'(1(0(0(0(1(0(0(0(z0))))))))), 1'(0(0(0(1(0(0(0(z0)))))))), 0'(0(0(1(0(0(0(z0))))))), 0'(0(1(0(0(0(z0)))))), 0'(1(0(0(0(z0))))), 1'(0(0(0(z0)))), 0'(0(0(z0))), 0'(0(z0)), 0'(z0)) 0'(1(0(1(1(0(1(2(2(1(1(1(0(2(1(1(1(z0))))))))))))))))) -> c9(0'(2(1(1(0(2(2(0(2(2(0(0(2(0(1(2(1(2(z0)))))))))))))))))), 2'(1(1(0(2(2(0(2(2(0(0(2(0(1(2(1(2(z0))))))))))))))))), 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1'(1(2(2(0(0(1(0(2(0(1(1(1(1(1(2(2(2(z0)))))))))))))))))), 1'(2(2(0(0(1(0(2(0(1(1(1(1(1(2(2(2(z0))))))))))))))))), 2'(2(0(0(1(0(2(0(1(1(1(1(1(2(2(2(z0)))))))))))))))), 2'(0(0(1(0(2(0(1(1(1(1(1(2(2(2(z0))))))))))))))), 0'(0(1(0(2(0(1(1(1(1(1(2(2(2(z0)))))))))))))), 0'(1(0(2(0(1(1(1(1(1(2(2(2(z0))))))))))))), 1'(0(2(0(1(1(1(1(1(2(2(2(z0)))))))))))), 0'(2(0(1(1(1(1(1(2(2(2(z0))))))))))), 2'(0(1(1(1(1(1(2(2(2(z0)))))))))), 0'(1(1(1(1(1(2(2(2(z0))))))))), 1'(1(1(1(1(2(2(2(z0)))))))), 1'(1(1(1(2(2(2(z0))))))), 1'(1(1(2(2(2(z0)))))), 1'(1(2(2(2(z0))))), 1'(2(2(2(z0)))), 2'(2(2(z0))), 2'(2(z0)), 2'(z0)) 0'(0(0(2(2(0(2(1(1(0(0(2(2(1(2(0(1(0(1(0(1(1(0(0(z0)))))))))))))))))))))))) -> c11(0'(0(1(0(2(0(0(1(2(2(2(2(2(1(0(1(2(1(2(0(1(1(1(1(1(z0))))))))))))))))))))))))), 0'(1(0(2(0(0(1(2(2(2(2(2(1(0(1(2(1(2(0(1(1(1(1(1(z0)))))))))))))))))))))))), 1'(0(2(0(0(1(2(2(2(2(2(1(0(1(2(1(2(0(1(1(1(1(1(z0))))))))))))))))))))))), 0'(2(0(0(1(2(2(2(2(2(1(0(1(2(1(2(0(1(1(1(1(1(z0)))))))))))))))))))))), 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2'(2(1(1(0(2(1(1(1(2(1(2(2(2(2(1(2(1(0(2(2(z0))))))))))))))))))))) -> c29(1'(2(1(2(2(0(0(2(0(0(0(2(2(1(0(2(0(0(2(0(2(1(z0)))))))))))))))))))))), 2'(1(2(2(0(0(2(0(0(0(2(2(1(0(2(0(0(2(0(2(1(z0))))))))))))))))))))), 1'(2(2(0(0(2(0(0(0(2(2(1(0(2(0(0(2(0(2(1(z0)))))))))))))))))))), 2'(2(0(0(2(0(0(0(2(2(1(0(2(0(0(2(0(2(1(z0))))))))))))))))))), 2'(0(0(2(0(0(0(2(2(1(0(2(0(0(2(0(2(1(z0)))))))))))))))))), 0'(0(2(0(0(0(2(2(1(0(2(0(0(2(0(2(1(z0))))))))))))))))), 0'(2(0(0(0(2(2(1(0(2(0(0(2(0(2(1(z0)))))))))))))))), 2'(0(0(0(2(2(1(0(2(0(0(2(0(2(1(z0))))))))))))))), 0'(0(0(2(2(1(0(2(0(0(2(0(2(1(z0)))))))))))))), 0'(0(2(2(1(0(2(0(0(2(0(2(1(z0))))))))))))), 0'(2(2(1(0(2(0(0(2(0(2(1(z0)))))))))))), 2'(2(1(0(2(0(0(2(0(2(1(z0))))))))))), 2'(1(0(2(0(0(2(0(2(1(z0)))))))))), 1'(0(2(0(0(2(0(2(1(z0))))))))), 0'(2(0(0(2(0(2(1(z0)))))))), 2'(0(0(2(0(2(1(z0))))))), 0'(0(2(0(2(1(z0)))))), 0'(2(0(2(1(z0))))), 2'(0(2(1(z0)))), 0'(2(1(z0))), 2'(1(z0)), 1'(z0)) 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2'(1(1(0(2(1(2(0(2(0(2(1(0(0(0(0(z0)))))))))))))))), 1'(1(0(2(1(2(0(2(0(2(1(0(0(0(0(z0))))))))))))))), 1'(0(2(1(2(0(2(0(2(1(0(0(0(0(z0)))))))))))))), 0'(2(1(2(0(2(0(2(1(0(0(0(0(z0))))))))))))), 2'(1(2(0(2(0(2(1(0(0(0(0(z0)))))))))))), 1'(2(0(2(0(2(1(0(0(0(0(z0))))))))))), 2'(0(2(0(2(1(0(0(0(0(z0)))))))))), 0'(2(0(2(1(0(0(0(0(z0))))))))), 2'(0(2(1(0(0(0(0(z0)))))))), 0'(2(1(0(0(0(0(z0))))))), 2'(1(0(0(0(0(z0)))))), 1'(0(0(0(0(z0))))), 0'(0(0(0(z0)))), 0'(0(0(z0))), 0'(0(z0)), 0'(z0)) 1'(2(1(2(1(0(2(2(2(1(2(0(0(2(2(0(1(2(1(1(2(1(0(1(2(2(1(2(0(1(2(2(1(2(2(1(1(2(1(0(1(1(1(z0))))))))))))))))))))))))))))))))))))))))))) -> c79(1'(0(0(2(1(0(1(2(2(1(0(1(2(1(0(1(0(1(2(0(2(2(1(0(2(1(2(2(2(0(0(1(2(0(2(0(0(1(1(0(2(1(2(0(1(z0))))))))))))))))))))))))))))))))))))))))))))), 0'(0(2(1(0(1(2(2(1(0(1(2(1(0(1(0(1(2(0(2(2(1(0(2(1(2(2(2(0(0(1(2(0(2(0(0(1(1(0(2(1(2(0(1(z0)))))))))))))))))))))))))))))))))))))))))))), 0'(2(1(0(1(2(2(1(0(1(2(1(0(1(0(1(2(0(2(2(1(0(2(1(2(2(2(0(0(1(2(0(2(0(0(1(1(0(2(1(2(0(1(z0))))))))))))))))))))))))))))))))))))))))))), 2'(1(0(1(2(2(1(0(1(2(1(0(1(0(1(2(0(2(2(1(0(2(1(2(2(2(0(0(1(2(0(2(0(0(1(1(0(2(1(2(0(1(z0)))))))))))))))))))))))))))))))))))))))))), 1'(0(1(2(2(1(0(1(2(1(0(1(0(1(2(0(2(2(1(0(2(1(2(2(2(0(0(1(2(0(2(0(0(1(1(0(2(1(2(0(1(z0))))))))))))))))))))))))))))))))))))))))), 0'(1(2(2(1(0(1(2(1(0(1(0(1(2(0(2(2(1(0(2(1(2(2(2(0(0(1(2(0(2(0(0(1(1(0(2(1(2(0(1(z0)))))))))))))))))))))))))))))))))))))))), 1'(2(2(1(0(1(2(1(0(1(0(1(2(0(2(2(1(0(2(1(2(2(2(0(0(1(2(0(2(0(0(1(1(0(2(1(2(0(1(z0))))))))))))))))))))))))))))))))))))))), 2'(2(1(0(1(2(1(0(1(0(1(2(0(2(2(1(0(2(1(2(2(2(0(0(1(2(0(2(0(0(1(1(0(2(1(2(0(1(z0)))))))))))))))))))))))))))))))))))))), 2'(1(0(1(2(1(0(1(0(1(2(0(2(2(1(0(2(1(2(2(2(0(0(1(2(0(2(0(0(1(1(0(2(1(2(0(1(z0))))))))))))))))))))))))))))))))))))), 1'(0(1(2(1(0(1(0(1(2(0(2(2(1(0(2(1(2(2(2(0(0(1(2(0(2(0(0(1(1(0(2(1(2(0(1(z0)))))))))))))))))))))))))))))))))))), 0'(1(2(1(0(1(0(1(2(0(2(2(1(0(2(1(2(2(2(0(0(1(2(0(2(0(0(1(1(0(2(1(2(0(1(z0))))))))))))))))))))))))))))))))))), 1'(2(1(0(1(0(1(2(0(2(2(1(0(2(1(2(2(2(0(0(1(2(0(2(0(0(1(1(0(2(1(2(0(1(z0)))))))))))))))))))))))))))))))))), 2'(1(0(1(0(1(2(0(2(2(1(0(2(1(2(2(2(0(0(1(2(0(2(0(0(1(1(0(2(1(2(0(1(z0))))))))))))))))))))))))))))))))), 1'(0(1(0(1(2(0(2(2(1(0(2(1(2(2(2(0(0(1(2(0(2(0(0(1(1(0(2(1(2(0(1(z0)))))))))))))))))))))))))))))))), 0'(1(0(1(2(0(2(2(1(0(2(1(2(2(2(0(0(1(2(0(2(0(0(1(1(0(2(1(2(0(1(z0))))))))))))))))))))))))))))))), 1'(0(1(2(0(2(2(1(0(2(1(2(2(2(0(0(1(2(0(2(0(0(1(1(0(2(1(2(0(1(z0)))))))))))))))))))))))))))))), 0'(1(2(0(2(2(1(0(2(1(2(2(2(0(0(1(2(0(2(0(0(1(1(0(2(1(2(0(1(z0))))))))))))))))))))))))))))), 1'(2(0(2(2(1(0(2(1(2(2(2(0(0(1(2(0(2(0(0(1(1(0(2(1(2(0(1(z0)))))))))))))))))))))))))))), 2'(0(2(2(1(0(2(1(2(2(2(0(0(1(2(0(2(0(0(1(1(0(2(1(2(0(1(z0))))))))))))))))))))))))))), 0'(2(2(1(0(2(1(2(2(2(0(0(1(2(0(2(0(0(1(1(0(2(1(2(0(1(z0)))))))))))))))))))))))))), 2'(2(1(0(2(1(2(2(2(0(0(1(2(0(2(0(0(1(1(0(2(1(2(0(1(z0))))))))))))))))))))))))), 2'(1(0(2(1(2(2(2(0(0(1(2(0(2(0(0(1(1(0(2(1(2(0(1(z0)))))))))))))))))))))))), 1'(0(2(1(2(2(2(0(0(1(2(0(2(0(0(1(1(0(2(1(2(0(1(z0))))))))))))))))))))))), 0'(2(1(2(2(2(0(0(1(2(0(2(0(0(1(1(0(2(1(2(0(1(z0)))))))))))))))))))))), 2'(1(2(2(2(0(0(1(2(0(2(0(0(1(1(0(2(1(2(0(1(z0))))))))))))))))))))), 1'(2(2(2(0(0(1(2(0(2(0(0(1(1(0(2(1(2(0(1(z0)))))))))))))))))))), 2'(2(2(0(0(1(2(0(2(0(0(1(1(0(2(1(2(0(1(z0))))))))))))))))))), 2'(2(0(0(1(2(0(2(0(0(1(1(0(2(1(2(0(1(z0)))))))))))))))))), 2'(0(0(1(2(0(2(0(0(1(1(0(2(1(2(0(1(z0))))))))))))))))), 0'(0(1(2(0(2(0(0(1(1(0(2(1(2(0(1(z0)))))))))))))))), 0'(1(2(0(2(0(0(1(1(0(2(1(2(0(1(z0))))))))))))))), 1'(2(0(2(0(0(1(1(0(2(1(2(0(1(z0)))))))))))))), 2'(0(2(0(0(1(1(0(2(1(2(0(1(z0))))))))))))), 0'(2(0(0(1(1(0(2(1(2(0(1(z0)))))))))))), 2'(0(0(1(1(0(2(1(2(0(1(z0))))))))))), 0'(0(1(1(0(2(1(2(0(1(z0)))))))))), 0'(1(1(0(2(1(2(0(1(z0))))))))), 1'(1(0(2(1(2(0(1(z0)))))))), 1'(0(2(1(2(0(1(z0))))))), 0'(2(1(2(0(1(z0)))))), 2'(1(2(0(1(z0))))), 1'(2(0(1(z0)))), 2'(0(1(z0))), 0'(1(z0)), 1'(z0)) 2'(1(0(0(1(1(0(2(2(0(1(0(0(1(2(0(2(1(2(0(1(0(0(0(z0)))))))))))))))))))))))) -> c32(2'(1(1(0(1(2(0(0(2(0(2(0(2(1(0(1(2(0(1(0(2(1(1(2(0(0(z0)))))))))))))))))))))))))), 1'(1(0(1(2(0(0(2(0(2(0(2(1(0(1(2(0(1(0(2(1(1(2(0(0(z0))))))))))))))))))))))))), 1'(0(1(2(0(0(2(0(2(0(2(1(0(1(2(0(1(0(2(1(1(2(0(0(z0)))))))))))))))))))))))), 0'(1(2(0(0(2(0(2(0(2(1(0(1(2(0(1(0(2(1(1(2(0(0(z0))))))))))))))))))))))), 1'(2(0(0(2(0(2(0(2(1(0(1(2(0(1(0(2(1(1(2(0(0(z0)))))))))))))))))))))), 2'(0(0(2(0(2(0(2(1(0(1(2(0(1(0(2(1(1(2(0(0(z0))))))))))))))))))))), 0'(0(2(0(2(0(2(1(0(1(2(0(1(0(2(1(1(2(0(0(z0)))))))))))))))))))), 0'(2(0(2(0(2(1(0(1(2(0(1(0(2(1(1(2(0(0(z0))))))))))))))))))), 2'(0(2(0(2(1(0(1(2(0(1(0(2(1(1(2(0(0(z0)))))))))))))))))), 0'(2(0(2(1(0(1(2(0(1(0(2(1(1(2(0(0(z0))))))))))))))))), 2'(0(2(1(0(1(2(0(1(0(2(1(1(2(0(0(z0)))))))))))))))), 0'(2(1(0(1(2(0(1(0(2(1(1(2(0(0(z0))))))))))))))), 2'(1(0(1(2(0(1(0(2(1(1(2(0(0(z0)))))))))))))), 1'(0(1(2(0(1(0(2(1(1(2(0(0(z0))))))))))))), 0'(1(2(0(1(0(2(1(1(2(0(0(z0)))))))))))), 1'(2(0(1(0(2(1(1(2(0(0(z0))))))))))), 2'(0(1(0(2(1(1(2(0(0(z0)))))))))), 0'(1(0(2(1(1(2(0(0(z0))))))))), 1'(0(2(1(1(2(0(0(z0)))))))), 0'(2(1(1(2(0(0(z0))))))), 2'(1(1(2(0(0(z0)))))), 1'(1(2(0(0(z0))))), 1'(2(0(0(z0)))), 0'(0(z0)), 0'(z0)) 2'(2(2(1(0(0(2(0(1(0(2(1(0(2(1(0(0(1(1(0(0(0(2(0(2(z0))))))))))))))))))))))))) -> c33(0'(0(2(0(2(z0))))), 2'(0(2(z0))), 0'(2(z0)), 2'(z0)) 1'(0(2(1(0(0(1(0(1(2(z0)))))))))) -> c62(1'(2(0(0(1(1(0(0(1(2(z0)))))))))), 2'(0(0(1(1(0(0(1(2(z0))))))))), 0'(0(1(1(0(0(1(2(z0)))))))), 0'(1(1(0(0(1(2(z0))))))), 1'(1(0(0(1(2(z0)))))), 1'(0(0(1(2(z0))))), 0'(1(2(z0))), 1'(2(z0)), 2'(z0)) 1'(1(0(1(1(1(1(0(1(0(0(2(1(1(2(0(0(1(1(0(2(0(0(0(z0)))))))))))))))))))))))) -> c66(2'(0(0(2(1(0(2(2(2(0(0(2(2(2(2(0(0(0(2(0(1(2(0(0(0(z0))))))))))))))))))))))))), 0'(0(2(1(0(2(2(2(0(0(2(2(2(2(0(0(0(2(0(1(2(0(0(0(z0)))))))))))))))))))))))), 0'(2(1(0(2(2(2(0(0(2(2(2(2(0(0(0(2(0(1(2(0(0(0(z0))))))))))))))))))))))), 2'(1(0(2(2(2(0(0(2(2(2(2(0(0(0(2(0(1(2(0(0(0(z0)))))))))))))))))))))), 1'(0(2(2(2(0(0(2(2(2(2(0(0(0(2(0(1(2(0(0(0(z0))))))))))))))))))))), 0'(2(2(2(0(0(2(2(2(2(0(0(0(2(0(1(2(0(0(0(z0)))))))))))))))))))), 2'(2(2(0(0(2(2(2(2(0(0(0(2(0(1(2(0(0(0(z0))))))))))))))))))), 2'(2(0(0(2(2(2(2(0(0(0(2(0(1(2(0(0(0(z0)))))))))))))))))), 2'(0(0(2(2(2(2(0(0(0(2(0(1(2(0(0(0(z0))))))))))))))))), 0'(0(2(2(2(2(0(0(0(2(0(1(2(0(0(0(z0)))))))))))))))), 0'(2(2(2(2(0(0(0(2(0(1(2(0(0(0(z0))))))))))))))), 2'(2(2(2(0(0(0(2(0(1(2(0(0(0(z0)))))))))))))), 2'(2(2(0(0(0(2(0(1(2(0(0(0(z0))))))))))))), 2'(2(0(0(0(2(0(1(2(0(0(0(z0)))))))))))), 2'(0(0(0(2(0(1(2(0(0(0(z0))))))))))), 0'(0(0(2(0(1(2(0(0(0(z0)))))))))), 0'(0(2(0(1(2(0(0(0(z0))))))))), 0'(2(0(1(2(0(0(0(z0)))))))), 2'(0(1(2(0(0(0(z0))))))), 0'(1(2(0(0(0(z0)))))), 1'(2(0(0(0(z0))))), 0'(0(0(z0))), 0'(0(z0)), 0'(z0)) 1'(2(1(1(0(2(2(0(1(2(2(0(2(0(0(1(1(0(1(2(2(2(0(2(2(0(0(0(0(1(1(0(1(0(0(0(1(2(1(2(2(2(0(0(z0)))))))))))))))))))))))))))))))))))))))))))) -> c80(2'(2(2(0(0(z0))))), 2'(2(0(0(z0)))), 0'(0(z0)), 0'(z0)) K tuples:none Defined Rule Symbols: encArg_1, 0_1, 2_1, 1_1 Defined Pair Symbols: ENCARG_1, 0'_1, 2'_1, 1'_1, ENCODE_0_1, ENCODE_1_1, ENCODE_2_1 Compound Symbols: c_2, c1_2, c2_2, c6_9, c7_11, c8_16, c9_18, c10_24, c11_25, c12_29, c13_30, c14_31, c15_32, c16_32, c17_35, c18_37, c19_39, c20_38, c21_43, c22_42, c23_45, c24_43, c25_46, c26_8, c27_14, c28_22, c29_22, c30_23, c31_23, c34_29, c35_29, c36_31, c37_35, c38_36, c39_36, c40_35, c41_35, c42_36, c43_37, c44_39, c45_40, c46_42, c47_39, c48_41, c49_40, c50_40, c51_40, c52_42, c54_43, c55_43, c56_44, c57_46, c58_50, c59_49, c60_49, c61_9, c63_13, c64_20, c65_22, c67_27, c68_29, c69_31, c70_31, c71_32, c72_37, c74_37, c75_37, c76_39, c77_41, c78_43, c79_45, c32_25, c33_4, c62_9, c66_24, c80_4, c53_1 ---------------------------------------- (47) CdtNarrowingProof (BOTH BOUNDS(ID, ID)) Use narrowing to replace ENCARG(cons_0(z0)) -> c(0'(encArg(z0)), ENCARG(z0)) by ENCARG(cons_0(cons_0(z0))) -> c(0'(0(encArg(z0))), ENCARG(cons_0(z0))) ENCARG(cons_0(cons_2(z0))) -> c(0'(2(encArg(z0))), ENCARG(cons_2(z0))) ENCARG(cons_0(cons_1(z0))) -> c(0'(1(encArg(z0))), ENCARG(cons_1(z0))) ---------------------------------------- (48) 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(0(1(1(0(0(0(1(z0)))))))) -> 0(2(0(1(0(1(1(1(1(z0))))))))) 0(1(2(1(1(1(0(2(0(2(z0)))))))))) -> 0(2(0(2(0(2(0(2(0(1(2(z0))))))))))) 0(1(0(1(2(0(0(1(0(0(1(2(1(0(1(0(z0)))))))))))))))) -> 0(1(1(1(1(2(0(2(1(0(0(0(1(0(0(0(z0)))))))))))))))) 0(1(0(1(1(0(1(2(2(1(1(1(0(2(1(1(1(z0))))))))))))))))) -> 0(2(1(1(0(2(2(0(2(2(0(0(2(0(1(2(1(2(z0)))))))))))))))))) 0(1(2(0(1(1(1(1(2(2(0(2(2(1(0(0(0(1(0(2(1(1(1(z0))))))))))))))))))))))) -> 0(1(0(0(2(0(1(1(2(2(0(0(1(0(2(0(1(1(1(1(1(2(2(2(z0)))))))))))))))))))))))) 0(0(0(2(2(0(2(1(1(0(0(2(2(1(2(0(1(0(1(0(1(1(0(0(z0)))))))))))))))))))))))) -> 0(0(1(0(2(0(0(1(2(2(2(2(2(1(0(1(2(1(2(0(1(1(1(1(1(z0))))))))))))))))))))))))) 0(1(0(0(2(2(0(1(0(1(2(1(2(2(2(1(0(1(2(1(0(1(1(1(2(0(2(1(z0)))))))))))))))))))))))))))) -> 0(0(2(0(0(2(2(0(0(1(1(2(1(1(1(2(0(0(1(1(2(0(2(0(2(2(1(2(2(z0))))))))))))))))))))))))))))) 0(0(2(0(2(1(1(2(0(2(1(1(2(0(1(0(1(2(1(1(1(0(0(0(0(2(2(1(2(0(z0)))))))))))))))))))))))))))))) -> 0(0(2(0(1(1(1(0(0(2(1(1(2(0(0(2(2(0(1(1(1(2(0(2(0(2(1(2(1(0(z0)))))))))))))))))))))))))))))) 0(1(0(1(0(2(1(1(0(1(2(0(0(1(2(2(0(2(0(2(1(2(1(2(2(0(2(2(1(2(z0)))))))))))))))))))))))))))))) -> 0(2(2(1(0(0(0(2(2(1(0(2(0(2(0(1(2(0(1(2(0(1(2(0(2(0(1(2(1(2(1(z0))))))))))))))))))))))))))))))) 0(1(0(0(2(1(0(1(1(1(1(1(0(1(0(1(0(2(2(0(2(2(1(2(2(2(1(0(0(2(2(z0))))))))))))))))))))))))))))))) -> 0(0(2(1(1(2(0(1(2(2(2(0(2(1(2(2(0(2(1(0(0(1(2(0(0(2(0(1(0(2(0(2(z0)))))))))))))))))))))))))))))))) 0(0(1(1(1(1(2(2(0(0(2(1(2(2(1(0(2(1(0(0(1(1(0(2(0(2(2(2(2(0(2(1(z0)))))))))))))))))))))))))))))))) -> 0(0(1(1(1(2(1(2(2(0(0(1(2(2(1(2(2(1(2(0(1(0(2(0(0(2(0(2(1(0(2(1(z0)))))))))))))))))))))))))))))))) 0(2(1(2(0(1(2(1(1(1(2(0(0(0(0(1(2(1(0(0(2(2(2(0(1(2(0(2(1(1(2(2(1(2(1(z0))))))))))))))))))))))))))))))))))) -> 0(2(1(2(0(2(0(1(0(1(0(0(1(2(0(2(2(1(0(2(1(2(0(0(1(2(1(2(2(2(1(2(1(1(1(z0))))))))))))))))))))))))))))))))))) 0(2(2(2(1(2(0(2(1(0(1(2(2(0(1(1(0(2(0(0(1(2(2(2(0(0(2(0(2(2(1(0(0(1(0(0(z0)))))))))))))))))))))))))))))))))))) -> 0(0(0(2(0(0(0(2(2(2(0(1(0(2(1(2(2(0(1(2(2(0(0(0(1(0(0(0(2(0(1(1(0(2(0(2(0(z0))))))))))))))))))))))))))))))))))))) 0(0(0(1(0(0(1(2(1(0(2(0(2(1(1(2(2(2(1(1(0(2(2(2(2(2(0(0(0(1(0(1(0(0(0(1(0(z0))))))))))))))))))))))))))))))))))))) -> 0(1(1(0(2(1(1(1(0(2(0(1(2(0(0(0(2(2(1(0(2(2(2(1(1(1(2(1(0(2(1(1(0(1(2(0(1(1(1(z0))))))))))))))))))))))))))))))))))))))) 0(1(1(1(0(1(0(0(2(1(0(0(1(0(0(0(0(1(1(2(1(1(1(0(0(0(1(2(0(2(2(2(2(0(2(0(0(z0))))))))))))))))))))))))))))))))))))) -> 0(0(2(0(1(2(0(0(1(2(0(2(1(1(0(2(1(2(2(2(2(2(0(0(1(0(1(1(2(0(0(1(1(1(1(1(2(0(z0)))))))))))))))))))))))))))))))))))))) 0(2(0(0(1(0(0(2(2(2(0(1(1(1(1(2(2(0(0(0(0(2(0(1(2(1(0(1(2(1(2(2(2(0(0(0(0(1(0(0(z0)))))))))))))))))))))))))))))))))))))))) -> 0(1(0(0(2(0(2(0(0(2(1(0(0(2(2(1(1(2(2(2(1(2(0(1(1(2(0(2(0(2(1(2(0(2(0(1(2(0(2(1(0(0(1(z0))))))))))))))))))))))))))))))))))))))))))) 0(2(1(1(1(0(2(1(1(0(0(2(1(0(2(1(1(0(2(2(1(0(2(0(1(0(2(1(0(1(1(2(2(1(0(1(2(2(0(0(z0)))))))))))))))))))))))))))))))))))))))) -> 0(2(1(2(2(2(2(1(1(1(1(1(2(0(0(2(0(2(0(0(2(1(1(1(0(2(0(2(2(2(1(1(1(0(0(0(1(2(2(0(2(0(z0)))))))))))))))))))))))))))))))))))))))))) 0(2(2(0(1(2(0(0(0(2(2(2(1(2(2(2(1(0(0(0(2(0(2(1(1(0(2(1(2(0(1(0(2(1(2(0(2(1(0(1(0(1(z0)))))))))))))))))))))))))))))))))))))))))) -> 0(1(1(1(2(0(0(0(0(1(1(2(0(2(0(2(0(0(0(2(2(0(0(0(0(2(2(0(1(1(0(0(1(2(1(2(0(1(2(0(0(2(0(0(0(z0))))))))))))))))))))))))))))))))))))))))))))) 0(2(2(2(0(1(1(2(1(1(2(2(1(1(1(2(2(1(1(1(1(0(2(1(1(0(0(2(0(1(2(2(1(1(0(0(0(1(1(0(0(0(z0)))))))))))))))))))))))))))))))))))))))))) -> 0(0(1(0(2(2(0(2(0(0(2(0(2(0(1(2(0(2(0(2(0(0(1(1(2(1(0(1(0(1(2(2(0(2(2(1(0(0(2(0(2(1(0(z0))))))))))))))))))))))))))))))))))))))))))) 0(2(1(2(0(2(1(1(2(2(0(2(1(2(2(0(0(0(1(1(1(0(2(2(2(2(2(2(2(2(2(1(1(1(2(1(0(1(1(0(0(0(2(0(0(z0))))))))))))))))))))))))))))))))))))))))))))) -> 0(2(2(0(2(2(2(0(0(2(2(1(0(1(0(0(2(2(1(1(0(2(2(0(2(2(2(0(1(2(0(0(2(0(2(0(2(1(1(2(2(1(2(1(1(0(z0)))))))))))))))))))))))))))))))))))))))))))))) 2(2(0(0(2(1(0(1(z0)))))))) -> 1(2(2(0(0(1(2(0(z0)))))))) 2(1(2(0(0(0(0(1(2(0(1(1(1(z0))))))))))))) -> 0(0(2(0(2(0(0(2(0(0(0(1(1(1(z0)))))))))))))) 2(1(1(1(0(0(1(2(1(0(0(2(1(0(1(1(0(1(1(0(z0)))))))))))))))))))) -> 1(0(2(1(0(2(0(2(2(0(0(2(0(0(0(2(0(1(1(1(2(0(z0)))))))))))))))))))))) 2(2(1(1(0(2(1(1(1(2(1(2(2(2(2(1(2(1(0(2(2(z0))))))))))))))))))))) -> 1(2(1(2(2(0(0(2(0(0(0(2(2(1(0(2(0(0(2(0(2(1(z0)))))))))))))))))))))) 2(1(2(2(0(2(2(0(0(2(1(1(2(2(1(2(2(0(1(0(1(1(z0)))))))))))))))))))))) -> 1(0(1(1(2(1(1(2(1(0(0(0(1(0(0(2(0(0(2(0(1(0(1(z0))))))))))))))))))))))) 2(2(0(0(0(1(0(2(1(0(1(0(0(0(1(0(2(2(2(1(0(0(0(z0))))))))))))))))))))))) -> 0(0(2(0(0(1(2(0(0(1(1(0(2(0(2(2(0(1(0(2(1(0(0(z0))))))))))))))))))))))) 2(1(0(0(1(1(0(2(2(0(1(0(0(1(2(0(2(1(2(0(1(0(0(0(z0)))))))))))))))))))))))) -> 2(1(1(0(1(2(0(0(2(0(2(0(2(1(0(1(2(0(1(0(2(1(1(2(0(0(z0)))))))))))))))))))))))))) 2(2(2(1(0(0(2(0(1(0(2(1(0(2(1(0(0(1(1(0(0(0(2(0(2(z0))))))))))))))))))))))))) -> 1(0(2(0(1(0(1(0(2(0(1(1(1(2(1(0(2(0(2(0(2(2(0(0(2(0(2(z0))))))))))))))))))))))))))) 2(1(1(1(0(1(0(0(1(0(1(1(0(1(0(2(0(0(0(1(1(1(2(2(0(1(2(2(z0)))))))))))))))))))))))))))) -> 2(0(0(1(2(1(1(2(0(2(0(1(1(1(1(2(0(1(2(1(2(2(2(2(2(2(0(2(2(z0))))))))))))))))))))))))))))) 2(1(1(0(0(0(1(1(2(2(1(2(1(2(1(2(2(0(1(0(0(0(1(2(0(0(1(1(2(z0))))))))))))))))))))))))))))) -> 0(2(1(2(2(0(1(0(1(2(0(0(1(1(1(0(1(1(1(1(2(0(2(2(0(2(1(0(2(z0))))))))))))))))))))))))))))) 2(2(0(1(2(1(2(1(0(2(1(1(0(0(1(0(1(2(1(1(0(1(0(2(1(1(2(0(0(0(z0)))))))))))))))))))))))))))))) -> 1(0(0(1(0(0(2(1(2(2(1(0(2(1(2(2(1(0(1(1(2(1(0(2(0(1(2(2(0(2(0(z0))))))))))))))))))))))))))))))) 2(1(0(1(2(2(0(1(0(0(0(2(1(1(0(1(2(1(1(0(0(2(2(0(1(1(1(2(1(1(1(1(2(1(z0)))))))))))))))))))))))))))))))))) -> 2(0(0(2(0(0(1(2(0(2(2(0(2(2(2(0(0(0(1(0(2(0(0(1(2(0(0(2(0(1(2(0(0(1(0(z0))))))))))))))))))))))))))))))))))) 2(1(1(1(2(2(0(2(0(0(0(0(1(1(2(0(2(2(0(0(2(2(2(0(0(2(1(0(2(1(0(2(1(2(z0)))))))))))))))))))))))))))))))))) -> 1(0(2(0(2(0(0(0(0(2(2(0(0(2(0(0(2(0(2(1(0(0(2(0(1(2(0(0(0(1(2(1(1(2(0(2(z0)))))))))))))))))))))))))))))))))))) 2(1(1(2(2(0(1(1(0(2(1(0(1(1(0(2(1(1(1(0(1(0(2(1(0(2(1(1(1(0(1(0(0(1(z0)))))))))))))))))))))))))))))))))) -> 0(1(2(0(1(2(0(2(0(2(1(2(0(0(1(2(1(1(2(0(0(1(2(2(1(2(1(0(0(1(2(1(0(0(0(0(z0)))))))))))))))))))))))))))))))))))) 2(1(2(1(2(2(2(0(2(2(0(2(2(1(2(1(1(0(0(1(0(1(0(2(1(1(0(2(0(0(2(1(1(1(z0)))))))))))))))))))))))))))))))))) -> 1(2(2(2(0(2(0(2(1(2(0(0(0(1(1(0(1(2(0(0(0(2(0(0(0(1(0(2(2(2(2(1(0(2(2(z0))))))))))))))))))))))))))))))))))) 2(2(2(0(1(1(1(1(1(1(0(2(1(1(0(0(0(1(1(2(2(2(2(2(2(2(2(0(0(1(0(2(0(1(z0)))))))))))))))))))))))))))))))))) -> 0(1(0(0(1(0(0(1(2(0(2(0(2(0(2(0(2(2(1(0(2(1(1(1(1(1(1(0(1(0(1(1(0(0(0(z0))))))))))))))))))))))))))))))))))) 2(1(0(2(1(0(2(2(2(2(0(0(0(1(1(1(2(2(0(2(2(2(0(1(0(2(1(0(1(1(2(2(2(0(0(z0))))))))))))))))))))))))))))))))))) -> 0(2(0(1(2(1(1(0(2(2(0(0(0(0(2(0(1(0(2(1(2(2(0(1(0(1(0(1(2(0(0(2(2(0(1(0(z0)))))))))))))))))))))))))))))))))))) 2(2(2(1(0(0(1(0(0(1(2(1(1(2(1(2(0(1(1(0(1(2(0(1(2(2(1(0(1(0(0(1(2(1(1(z0))))))))))))))))))))))))))))))))))) -> 0(0(2(0(0(0(1(2(1(2(0(1(1(0(2(0(1(0(1(2(0(0(1(1(2(0(0(1(1(0(2(2(0(2(2(1(1(z0))))))))))))))))))))))))))))))))))))) 2(0(2(2(1(2(1(2(2(2(0(1(0(2(2(1(0(0(0(1(2(0(1(2(1(0(0(2(2(0(2(1(1(1(0(0(1(z0))))))))))))))))))))))))))))))))))))) -> 1(2(2(0(0(0(1(1(0(2(0(2(0(0(2(0(1(1(2(0(2(0(1(2(1(2(1(2(1(0(2(2(2(1(0(1(0(1(0(z0))))))))))))))))))))))))))))))))))))))) 2(1(2(1(2(1(2(1(0(1(0(2(2(0(0(1(2(2(1(2(1(0(1(0(2(1(2(2(2(1(1(1(2(0(1(1(0(z0))))))))))))))))))))))))))))))))))))) -> 1(0(1(2(1(2(1(2(2(2(1(0(2(1(0(0(2(0(0(0(2(0(1(0(1(1(2(2(0(1(1(0(2(0(0(2(0(1(0(1(z0)))))))))))))))))))))))))))))))))))))))) 2(2(1(2(1(1(0(0(0(0(1(2(1(1(1(0(0(1(1(0(0(2(0(1(1(1(0(2(2(1(2(0(0(1(0(0(1(z0))))))))))))))))))))))))))))))))))))) -> 2(0(1(2(0(2(0(1(1(0(0(1(0(1(0(2(0(1(0(2(2(2(1(2(1(0(2(0(2(0(0(2(0(1(1(1(2(0(0(2(1(0(z0)))))))))))))))))))))))))))))))))))))))))) 2(1(2(1(2(1(1(0(2(0(2(1(2(2(2(1(1(2(0(0(1(0(1(1(2(1(1(2(0(1(2(2(1(1(0(0(1(1(z0)))))))))))))))))))))))))))))))))))))) -> 2(1(0(2(2(1(0(0(0(2(2(2(1(2(0(1(0(0(1(0(0(0(2(1(1(0(0(2(0(1(2(0(2(2(1(0(2(0(0(z0))))))))))))))))))))))))))))))))))))))) 2(1(0(0(1(0(0(1(2(2(0(2(2(1(0(0(0(2(2(1(1(2(0(1(2(0(0(1(2(0(2(1(0(2(2(0(1(1(1(z0))))))))))))))))))))))))))))))))))))))) -> 2(1(2(0(0(1(2(0(1(2(0(0(0(2(2(0(2(0(1(0(0(0(2(0(0(2(2(0(2(2(2(0(0(2(0(1(0(2(0(1(0(z0))))))))))))))))))))))))))))))))))))))))) 2(2(2(0(0(2(0(2(1(2(1(2(1(0(1(1(2(1(1(2(0(1(0(1(0(0(1(1(2(1(1(2(2(1(1(1(1(0(1(z0))))))))))))))))))))))))))))))))))))))) -> 1(0(2(1(1(2(1(1(2(0(0(2(2(0(2(0(1(2(1(0(2(0(1(2(1(2(2(2(2(0(2(2(2(1(0(2(0(0(1(1(z0)))))))))))))))))))))))))))))))))))))))) 2(2(2(0(2(1(2(1(0(0(0(0(1(2(2(1(0(2(2(1(1(0(0(0(2(0(0(0(1(0(2(1(2(2(1(1(0(2(1(z0))))))))))))))))))))))))))))))))))))))) -> 1(2(0(1(1(2(0(2(2(0(2(1(0(2(0(2(0(1(1(0(1(2(2(1(0(1(0(0(0(2(0(2(2(1(0(0(0(1(0(1(z0)))))))))))))))))))))))))))))))))))))))) 2(1(0(0(1(0(2(2(1(1(1(0(1(2(0(1(0(2(1(0(0(2(2(1(1(1(2(2(0(0(0(0(1(1(2(1(0(1(2(2(z0)))))))))))))))))))))))))))))))))))))))) -> 2(2(0(0(1(2(0(2(1(2(1(1(1(2(2(1(0(0(1(0(0(2(0(1(2(1(2(1(0(2(0(2(0(1(1(1(0(1(1(0(z0)))))))))))))))))))))))))))))))))))))))) 2(1(2(0(1(0(0(1(1(0(2(1(1(0(1(2(1(1(2(1(0(2(2(2(1(1(1(0(1(0(2(0(1(2(1(1(0(2(2(0(z0)))))))))))))))))))))))))))))))))))))))) -> 2(0(0(2(0(0(1(2(2(2(2(2(1(2(0(2(0(1(2(1(0(0(1(1(0(1(1(1(2(0(2(0(2(1(0(1(2(0(1(2(0(1(z0)))))))))))))))))))))))))))))))))))))))))) 2(1(2(0(0(2(1(0(1(2(1(2(0(0(0(0(1(1(1(0(2(0(1(0(2(1(2(1(2(0(2(1(1(1(1(0(1(0(0(1(1(0(z0)))))))))))))))))))))))))))))))))))))))))) -> 2(2(1(1(1(1(2(2(0(2(1(1(1(2(2(1(0(1(0(1(2(0(2(2(2(1(1(2(0(1(2(0(1(0(0(2(1(0(2(0(1(0(1(z0))))))))))))))))))))))))))))))))))))))))))) 2(2(0(2(2(1(2(0(2(2(2(1(1(0(2(1(1(1(2(2(0(1(0(1(0(1(0(0(1(2(0(0(2(2(0(0(2(1(1(1(1(2(z0)))))))))))))))))))))))))))))))))))))))))) -> 0(1(2(2(0(2(0(0(0(2(0(2(1(2(0(0(1(0(2(0(0(2(0(1(1(2(1(1(0(2(1(2(1(2(0(0(0(1(2(0(0(1(0(z0))))))))))))))))))))))))))))))))))))))))))) 2(2(2(2(0(2(2(2(2(0(1(2(1(1(0(2(1(1(2(1(0(1(0(1(0(0(0(0(2(0(0(1(2(1(2(1(1(0(0(1(2(0(1(z0))))))))))))))))))))))))))))))))))))))))))) -> 2(0(1(2(1(2(0(2(0(1(2(0(1(1(0(2(2(0(0(1(1(2(2(1(1(1(2(1(2(2(0(2(2(1(0(1(1(1(1(1(0(1(2(0(z0)))))))))))))))))))))))))))))))))))))))))))) 2(2(1(0(0(2(1(2(0(0(0(2(1(0(2(0(2(1(2(2(2(0(1(2(2(0(0(0(1(0(2(2(2(1(0(1(2(1(0(0(2(0(1(0(1(z0))))))))))))))))))))))))))))))))))))))))))))) -> 2(1(1(2(1(1(1(0(2(0(1(1(1(2(0(0(2(2(1(2(2(2(2(0(2(0(1(1(0(1(2(2(2(1(1(2(1(1(1(0(0(0(2(0(1(0(z0)))))))))))))))))))))))))))))))))))))))))))))) 2(0(1(1(2(0(0(1(1(1(0(0(0(2(0(0(1(0(0(1(0(0(0(2(1(2(1(0(1(1(1(1(0(0(1(1(0(2(0(2(2(1(0(2(1(1(0(z0))))))))))))))))))))))))))))))))))))))))))))))) -> 2(0(2(0(2(0(2(0(2(0(2(1(2(1(0(0(1(0(0(2(1(2(0(2(0(0(2(1(2(2(1(1(2(2(2(1(2(1(0(0(2(0(0(2(2(2(1(0(2(0(z0)))))))))))))))))))))))))))))))))))))))))))))))))) 2(1(2(0(2(2(0(2(0(0(1(0(1(0(0(1(0(2(2(1(0(2(1(1(0(2(1(1(0(1(2(2(0(0(0(1(2(1(2(0(1(1(1(2(1(1(0(z0))))))))))))))))))))))))))))))))))))))))))))))) -> 0(2(2(0(1(2(1(0(2(0(2(0(0(1(2(2(1(1(2(2(2(0(1(2(0(0(2(2(0(0(0(1(2(2(1(2(2(1(0(2(1(1(1(1(0(1(0(2(0(z0))))))))))))))))))))))))))))))))))))))))))))))))) 2(1(2(2(2(1(1(1(1(1(1(0(1(0(0(2(2(2(0(1(1(1(0(2(1(1(2(1(2(0(0(0(0(2(1(1(0(2(1(1(0(0(0(1(0(0(1(z0))))))))))))))))))))))))))))))))))))))))))))))) -> 0(2(2(2(1(2(1(2(0(1(1(1(1(1(2(2(0(0(0(2(2(2(1(1(0(1(1(0(1(1(1(2(0(0(2(0(1(1(2(2(2(1(0(2(2(2(2(2(0(z0))))))))))))))))))))))))))))))))))))))))))))))))) 1(2(1(0(0(1(2(1(1(z0))))))))) -> 1(0(2(0(1(1(2(1(1(z0))))))))) 1(0(2(1(0(0(1(0(1(2(z0)))))))))) -> 1(2(0(0(1(1(0(0(1(2(z0)))))))))) 1(1(0(1(2(2(2(2(0(2(1(1(z0)))))))))))) -> 1(1(0(1(2(2(0(2(0(1(2(2(2(z0))))))))))))) 1(2(0(1(0(0(0(1(2(2(1(1(2(0(1(0(1(1(0(z0))))))))))))))))))) -> 2(0(2(1(0(2(2(2(0(0(0(2(2(2(2(0(2(0(2(0(z0)))))))))))))))))))) 1(0(1(0(2(2(2(2(0(1(1(0(1(2(2(0(2(1(0(1(1(z0))))))))))))))))))))) -> 2(0(0(0(2(2(1(2(0(2(0(1(0(0(2(0(2(0(0(2(1(0(z0)))))))))))))))))))))) 1(1(0(1(1(1(1(0(1(0(0(2(1(1(2(0(0(1(1(0(2(0(0(0(z0)))))))))))))))))))))))) -> 2(0(0(2(1(0(2(2(2(0(0(2(2(2(2(0(0(0(2(0(1(2(0(0(0(z0))))))))))))))))))))))))) 1(0(0(1(2(0(0(0(1(1(1(1(2(2(2(2(2(1(1(2(1(0(1(0(1(0(z0)))))))))))))))))))))))))) -> 1(0(1(0(2(2(0(2(0(1(1(2(2(1(2(2(2(2(0(0(1(1(0(1(0(2(0(z0))))))))))))))))))))))))))) 1(2(1(0(0(1(1(0(1(0(2(1(2(0(2(0(1(1(2(1(2(0(1(1(0(0(0(1(z0)))))))))))))))))))))))))))) -> 1(1(1(1(2(0(2(0(0(1(2(0(0(0(0(2(2(1(0(0(2(0(1(2(0(1(2(0(0(z0))))))))))))))))))))))))))))) 1(2(0(0(0(2(0(1(1(2(2(0(0(2(2(0(2(1(1(1(2(1(1(1(0(1(2(1(2(1(z0)))))))))))))))))))))))))))))) -> 1(0(2(0(1(1(2(0(2(1(0(0(1(2(2(0(1(1(2(0(2(2(1(2(2(2(2(1(1(1(2(z0))))))))))))))))))))))))))))))) 1(2(1(1(1(2(1(0(2(2(0(1(2(0(0(1(0(0(2(1(2(1(2(1(0(1(0(2(1(0(z0)))))))))))))))))))))))))))))) -> 1(0(1(0(0(0(2(0(1(1(1(2(2(2(2(1(0(2(0(2(2(1(1(0(1(2(2(1(1(1(0(z0))))))))))))))))))))))))))))))) 1(2(2(2(1(0(0(2(0(0(1(1(1(2(1(1(1(2(2(1(2(0(2(1(0(1(2(1(1(1(2(2(z0)))))))))))))))))))))))))))))))) -> 1(1(1(2(1(0(2(1(0(2(1(1(2(2(1(2(1(1(1(2(1(0(2(0(0(2(0(2(2(1(1(2(z0)))))))))))))))))))))))))))))))) 1(2(2(0(2(1(2(0(2(2(1(1(1(2(1(2(1(2(2(2(2(2(0(0(0(0(1(0(0(0(1(1(2(0(z0)))))))))))))))))))))))))))))))))) -> 1(1(2(1(1(1(0(1(2(0(0(1(2(2(0(2(0(0(2(0(1(0(2(0(0(1(0(0(0(2(0(2(1(2(2(0(1(z0))))))))))))))))))))))))))))))))))))) 1(1(2(1(1(0(2(0(2(0(0(0(1(0(1(1(1(1(2(2(1(1(0(2(2(2(0(2(1(0(1(2(0(0(0(z0))))))))))))))))))))))))))))))))))) -> 1(0(2(0(1(0(2(0(1(1(0(0(0(1(2(0(1(1(1(0(2(0(2(0(0(2(0(2(2(1(2(0(2(2(0(1(0(z0))))))))))))))))))))))))))))))))))))) 1(0(1(2(0(1(0(2(2(1(2(2(0(0(0(2(1(1(2(0(2(1(1(1(0(1(0(0(0(2(1(1(2(1(0(0(z0)))))))))))))))))))))))))))))))))))) -> 1(1(2(1(0(2(1(1(2(0(2(1(1(1(2(2(0(2(1(2(2(1(1(1(0(1(0(2(0(0(0(2(0(2(0(0(1(z0))))))))))))))))))))))))))))))))))))) 1(1(2(1(0(2(2(1(2(2(2(0(1(1(0(0(2(1(0(1(2(2(2(1(1(1(2(0(0(0(1(1(0(1(1(1(2(0(z0)))))))))))))))))))))))))))))))))))))) -> 2(0(0(2(0(2(1(0(0(1(0(0(0(1(1(1(0(2(1(0(1(2(0(0(1(1(2(2(1(0(0(2(0(0(1(2(1(0(1(z0))))))))))))))))))))))))))))))))))))))) 1(2(2(0(1(2(2(2(0(1(1(1(2(1(1(0(0(1(2(1(2(2(2(1(0(0(0(0(1(1(2(1(0(0(1(0(2(1(1(z0))))))))))))))))))))))))))))))))))))))) -> 1(2(2(1(2(1(1(1(1(1(2(2(1(1(1(0(2(2(2(0(2(0(0(2(2(0(0(0(2(0(2(0(2(2(2(1(0(2(0(2(2(z0))))))))))))))))))))))))))))))))))))))))) 1(1(1(2(0(1(0(1(0(1(1(1(2(1(1(2(1(2(2(1(1(2(1(1(2(1(2(0(0(2(2(2(1(2(0(0(0(0(1(1(0(0(z0)))))))))))))))))))))))))))))))))))))))))) -> 1(2(1(0(1(2(0(1(0(2(0(2(2(2(0(1(1(1(1(2(1(0(2(2(1(0(2(2(1(1(0(2(1(2(0(2(0(2(1(0(0(0(0(z0))))))))))))))))))))))))))))))))))))))))))) 1(2(1(2(1(0(2(2(2(1(2(0(0(2(2(0(1(2(1(1(2(1(0(1(2(2(1(2(0(1(2(2(1(2(2(1(1(2(1(0(1(1(1(z0))))))))))))))))))))))))))))))))))))))))))) -> 1(0(0(2(1(0(1(2(2(1(0(1(2(1(0(1(0(1(2(0(2(2(1(0(2(1(2(2(2(0(0(1(2(0(2(0(0(1(1(0(2(1(2(0(1(z0))))))))))))))))))))))))))))))))))))))))))))) 1(2(1(1(0(2(2(0(1(2(2(0(2(0(0(1(1(0(1(2(2(2(0(2(2(0(0(0(0(1(1(0(1(0(0(0(1(2(1(2(2(2(0(0(z0)))))))))))))))))))))))))))))))))))))))))))) -> 1(1(2(1(0(2(0(2(2(2(1(1(1(1(0(2(1(1(2(1(0(0(2(1(0(0(2(0(2(1(2(2(1(0(1(1(2(0(1(0(2(2(2(0(0(z0))))))))))))))))))))))))))))))))))))))))))))) Tuples: ENCARG(cons_2(z0)) -> c1(2'(encArg(z0)), ENCARG(z0)) ENCARG(cons_1(z0)) -> c2(1'(encArg(z0)), ENCARG(z0)) 0'(0(1(1(0(0(0(1(z0)))))))) -> c6(0'(2(0(1(0(1(1(1(1(z0))))))))), 2'(0(1(0(1(1(1(1(z0)))))))), 0'(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)) 0'(1(2(1(1(1(0(2(0(2(z0)))))))))) -> c7(0'(2(0(2(0(2(0(2(0(1(2(z0))))))))))), 2'(0(2(0(2(0(2(0(1(2(z0)))))))))), 0'(2(0(2(0(2(0(1(2(z0))))))))), 2'(0(2(0(2(0(1(2(z0)))))))), 0'(2(0(2(0(1(2(z0))))))), 2'(0(2(0(1(2(z0)))))), 0'(2(0(1(2(z0))))), 2'(0(1(2(z0)))), 0'(1(2(z0))), 1'(2(z0)), 2'(z0)) 0'(1(0(1(2(0(0(1(0(0(1(2(1(0(1(0(z0)))))))))))))))) -> c8(0'(1(1(1(1(2(0(2(1(0(0(0(1(0(0(0(z0)))))))))))))))), 1'(1(1(1(2(0(2(1(0(0(0(1(0(0(0(z0))))))))))))))), 1'(1(1(2(0(2(1(0(0(0(1(0(0(0(z0)))))))))))))), 1'(1(2(0(2(1(0(0(0(1(0(0(0(z0))))))))))))), 1'(2(0(2(1(0(0(0(1(0(0(0(z0)))))))))))), 2'(0(2(1(0(0(0(1(0(0(0(z0))))))))))), 0'(2(1(0(0(0(1(0(0(0(z0)))))))))), 2'(1(0(0(0(1(0(0(0(z0))))))))), 1'(0(0(0(1(0(0(0(z0)))))))), 0'(0(0(1(0(0(0(z0))))))), 0'(0(1(0(0(0(z0)))))), 0'(1(0(0(0(z0))))), 1'(0(0(0(z0)))), 0'(0(0(z0))), 0'(0(z0)), 0'(z0)) 0'(1(0(1(1(0(1(2(2(1(1(1(0(2(1(1(1(z0))))))))))))))))) -> c9(0'(2(1(1(0(2(2(0(2(2(0(0(2(0(1(2(1(2(z0)))))))))))))))))), 2'(1(1(0(2(2(0(2(2(0(0(2(0(1(2(1(2(z0))))))))))))))))), 1'(1(0(2(2(0(2(2(0(0(2(0(1(2(1(2(z0)))))))))))))))), 1'(0(2(2(0(2(2(0(0(2(0(1(2(1(2(z0))))))))))))))), 0'(2(2(0(2(2(0(0(2(0(1(2(1(2(z0)))))))))))))), 2'(2(0(2(2(0(0(2(0(1(2(1(2(z0))))))))))))), 2'(0(2(2(0(0(2(0(1(2(1(2(z0)))))))))))), 0'(2(2(0(0(2(0(1(2(1(2(z0))))))))))), 2'(2(0(0(2(0(1(2(1(2(z0)))))))))), 2'(0(0(2(0(1(2(1(2(z0))))))))), 0'(0(2(0(1(2(1(2(z0)))))))), 0'(2(0(1(2(1(2(z0))))))), 2'(0(1(2(1(2(z0)))))), 0'(1(2(1(2(z0))))), 1'(2(1(2(z0)))), 2'(1(2(z0))), 1'(2(z0)), 2'(z0)) 0'(1(2(0(1(1(1(1(2(2(0(2(2(1(0(0(0(1(0(2(1(1(1(z0))))))))))))))))))))))) -> c10(0'(1(0(0(2(0(1(1(2(2(0(0(1(0(2(0(1(1(1(1(1(2(2(2(z0)))))))))))))))))))))))), 1'(0(0(2(0(1(1(2(2(0(0(1(0(2(0(1(1(1(1(1(2(2(2(z0))))))))))))))))))))))), 0'(0(2(0(1(1(2(2(0(0(1(0(2(0(1(1(1(1(1(2(2(2(z0)))))))))))))))))))))), 0'(2(0(1(1(2(2(0(0(1(0(2(0(1(1(1(1(1(2(2(2(z0))))))))))))))))))))), 2'(0(1(1(2(2(0(0(1(0(2(0(1(1(1(1(1(2(2(2(z0)))))))))))))))))))), 0'(1(1(2(2(0(0(1(0(2(0(1(1(1(1(1(2(2(2(z0))))))))))))))))))), 1'(1(2(2(0(0(1(0(2(0(1(1(1(1(1(2(2(2(z0)))))))))))))))))), 1'(2(2(0(0(1(0(2(0(1(1(1(1(1(2(2(2(z0))))))))))))))))), 2'(2(0(0(1(0(2(0(1(1(1(1(1(2(2(2(z0)))))))))))))))), 2'(0(0(1(0(2(0(1(1(1(1(1(2(2(2(z0))))))))))))))), 0'(0(1(0(2(0(1(1(1(1(1(2(2(2(z0)))))))))))))), 0'(1(0(2(0(1(1(1(1(1(2(2(2(z0))))))))))))), 1'(0(2(0(1(1(1(1(1(2(2(2(z0)))))))))))), 0'(2(0(1(1(1(1(1(2(2(2(z0))))))))))), 2'(0(1(1(1(1(1(2(2(2(z0)))))))))), 0'(1(1(1(1(1(2(2(2(z0))))))))), 1'(1(1(1(1(2(2(2(z0)))))))), 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1'(0(1(2(0(2(2(1(0(2(1(2(2(2(0(0(1(2(0(2(0(0(1(1(0(2(1(2(0(1(z0)))))))))))))))))))))))))))))), 0'(1(2(0(2(2(1(0(2(1(2(2(2(0(0(1(2(0(2(0(0(1(1(0(2(1(2(0(1(z0))))))))))))))))))))))))))))), 1'(2(0(2(2(1(0(2(1(2(2(2(0(0(1(2(0(2(0(0(1(1(0(2(1(2(0(1(z0)))))))))))))))))))))))))))), 2'(0(2(2(1(0(2(1(2(2(2(0(0(1(2(0(2(0(0(1(1(0(2(1(2(0(1(z0))))))))))))))))))))))))))), 0'(2(2(1(0(2(1(2(2(2(0(0(1(2(0(2(0(0(1(1(0(2(1(2(0(1(z0)))))))))))))))))))))))))), 2'(2(1(0(2(1(2(2(2(0(0(1(2(0(2(0(0(1(1(0(2(1(2(0(1(z0))))))))))))))))))))))))), 2'(1(0(2(1(2(2(2(0(0(1(2(0(2(0(0(1(1(0(2(1(2(0(1(z0)))))))))))))))))))))))), 1'(0(2(1(2(2(2(0(0(1(2(0(2(0(0(1(1(0(2(1(2(0(1(z0))))))))))))))))))))))), 0'(2(1(2(2(2(0(0(1(2(0(2(0(0(1(1(0(2(1(2(0(1(z0)))))))))))))))))))))), 2'(1(2(2(2(0(0(1(2(0(2(0(0(1(1(0(2(1(2(0(1(z0))))))))))))))))))))), 1'(2(2(2(0(0(1(2(0(2(0(0(1(1(0(2(1(2(0(1(z0)))))))))))))))))))), 2'(2(2(0(0(1(2(0(2(0(0(1(1(0(2(1(2(0(1(z0))))))))))))))))))), 2'(2(0(0(1(2(0(2(0(0(1(1(0(2(1(2(0(1(z0)))))))))))))))))), 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1'(2(0(0(2(0(2(0(2(1(0(1(2(0(1(0(2(1(1(2(0(0(z0)))))))))))))))))))))), 2'(0(0(2(0(2(0(2(1(0(1(2(0(1(0(2(1(1(2(0(0(z0))))))))))))))))))))), 0'(0(2(0(2(0(2(1(0(1(2(0(1(0(2(1(1(2(0(0(z0)))))))))))))))))))), 0'(2(0(2(0(2(1(0(1(2(0(1(0(2(1(1(2(0(0(z0))))))))))))))))))), 2'(0(2(0(2(1(0(1(2(0(1(0(2(1(1(2(0(0(z0)))))))))))))))))), 0'(2(0(2(1(0(1(2(0(1(0(2(1(1(2(0(0(z0))))))))))))))))), 2'(0(2(1(0(1(2(0(1(0(2(1(1(2(0(0(z0)))))))))))))))), 0'(2(1(0(1(2(0(1(0(2(1(1(2(0(0(z0))))))))))))))), 2'(1(0(1(2(0(1(0(2(1(1(2(0(0(z0)))))))))))))), 1'(0(1(2(0(1(0(2(1(1(2(0(0(z0))))))))))))), 0'(1(2(0(1(0(2(1(1(2(0(0(z0)))))))))))), 1'(2(0(1(0(2(1(1(2(0(0(z0))))))))))), 2'(0(1(0(2(1(1(2(0(0(z0)))))))))), 0'(1(0(2(1(1(2(0(0(z0))))))))), 1'(0(2(1(1(2(0(0(z0)))))))), 0'(2(1(1(2(0(0(z0))))))), 2'(1(1(2(0(0(z0)))))), 1'(1(2(0(0(z0))))), 1'(2(0(0(z0)))), 0'(0(z0)), 0'(z0)) 2'(2(2(1(0(0(2(0(1(0(2(1(0(2(1(0(0(1(1(0(0(0(2(0(2(z0))))))))))))))))))))))))) -> c33(0'(0(2(0(2(z0))))), 2'(0(2(z0))), 0'(2(z0)), 2'(z0)) 1'(0(2(1(0(0(1(0(1(2(z0)))))))))) -> c62(1'(2(0(0(1(1(0(0(1(2(z0)))))))))), 2'(0(0(1(1(0(0(1(2(z0))))))))), 0'(0(1(1(0(0(1(2(z0)))))))), 0'(1(1(0(0(1(2(z0))))))), 1'(1(0(0(1(2(z0)))))), 1'(0(0(1(2(z0))))), 0'(1(2(z0))), 1'(2(z0)), 2'(z0)) 1'(1(0(1(1(1(1(0(1(0(0(2(1(1(2(0(0(1(1(0(2(0(0(0(z0)))))))))))))))))))))))) -> c66(2'(0(0(2(1(0(2(2(2(0(0(2(2(2(2(0(0(0(2(0(1(2(0(0(0(z0))))))))))))))))))))))))), 0'(0(2(1(0(2(2(2(0(0(2(2(2(2(0(0(0(2(0(1(2(0(0(0(z0)))))))))))))))))))))))), 0'(2(1(0(2(2(2(0(0(2(2(2(2(0(0(0(2(0(1(2(0(0(0(z0))))))))))))))))))))))), 2'(1(0(2(2(2(0(0(2(2(2(2(0(0(0(2(0(1(2(0(0(0(z0)))))))))))))))))))))), 1'(0(2(2(2(0(0(2(2(2(2(0(0(0(2(0(1(2(0(0(0(z0))))))))))))))))))))), 0'(2(2(2(0(0(2(2(2(2(0(0(0(2(0(1(2(0(0(0(z0)))))))))))))))))))), 2'(2(2(0(0(2(2(2(2(0(0(0(2(0(1(2(0(0(0(z0))))))))))))))))))), 2'(2(0(0(2(2(2(2(0(0(0(2(0(1(2(0(0(0(z0)))))))))))))))))), 2'(0(0(2(2(2(2(0(0(0(2(0(1(2(0(0(0(z0))))))))))))))))), 0'(0(2(2(2(2(0(0(0(2(0(1(2(0(0(0(z0)))))))))))))))), 0'(2(2(2(2(0(0(0(2(0(1(2(0(0(0(z0))))))))))))))), 2'(2(2(2(0(0(0(2(0(1(2(0(0(0(z0)))))))))))))), 2'(2(2(0(0(0(2(0(1(2(0(0(0(z0))))))))))))), 2'(2(0(0(0(2(0(1(2(0(0(0(z0)))))))))))), 2'(0(0(0(2(0(1(2(0(0(0(z0))))))))))), 0'(0(0(2(0(1(2(0(0(0(z0)))))))))), 0'(0(2(0(1(2(0(0(0(z0))))))))), 0'(2(0(1(2(0(0(0(z0)))))))), 2'(0(1(2(0(0(0(z0))))))), 0'(1(2(0(0(0(z0)))))), 1'(2(0(0(0(z0))))), 0'(0(0(z0))), 0'(0(z0)), 0'(z0)) 1'(2(1(1(0(2(2(0(1(2(2(0(2(0(0(1(1(0(1(2(2(2(0(2(2(0(0(0(0(1(1(0(1(0(0(0(1(2(1(2(2(2(0(0(z0)))))))))))))))))))))))))))))))))))))))))))) -> c80(2'(2(2(0(0(z0))))), 2'(2(0(0(z0)))), 0'(0(z0)), 0'(z0)) ENCODE_0(z0) -> c53(0'(encArg(z0))) ENCODE_1(z0) -> c53(1'(encArg(z0))) ENCODE_2(z0) -> c53(2'(encArg(z0))) ENCARG(cons_0(cons_0(z0))) -> c(0'(0(encArg(z0))), ENCARG(cons_0(z0))) ENCARG(cons_0(cons_2(z0))) -> c(0'(2(encArg(z0))), ENCARG(cons_2(z0))) ENCARG(cons_0(cons_1(z0))) -> c(0'(1(encArg(z0))), ENCARG(cons_1(z0))) S tuples: 0'(0(1(1(0(0(0(1(z0)))))))) -> c6(0'(2(0(1(0(1(1(1(1(z0))))))))), 2'(0(1(0(1(1(1(1(z0)))))))), 0'(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)) 0'(1(2(1(1(1(0(2(0(2(z0)))))))))) -> c7(0'(2(0(2(0(2(0(2(0(1(2(z0))))))))))), 2'(0(2(0(2(0(2(0(1(2(z0)))))))))), 0'(2(0(2(0(2(0(1(2(z0))))))))), 2'(0(2(0(2(0(1(2(z0)))))))), 0'(2(0(2(0(1(2(z0))))))), 2'(0(2(0(1(2(z0)))))), 0'(2(0(1(2(z0))))), 2'(0(1(2(z0)))), 0'(1(2(z0))), 1'(2(z0)), 2'(z0)) 0'(1(0(1(2(0(0(1(0(0(1(2(1(0(1(0(z0)))))))))))))))) -> c8(0'(1(1(1(1(2(0(2(1(0(0(0(1(0(0(0(z0)))))))))))))))), 1'(1(1(1(2(0(2(1(0(0(0(1(0(0(0(z0))))))))))))))), 1'(1(1(2(0(2(1(0(0(0(1(0(0(0(z0)))))))))))))), 1'(1(2(0(2(1(0(0(0(1(0(0(0(z0))))))))))))), 1'(2(0(2(1(0(0(0(1(0(0(0(z0)))))))))))), 2'(0(2(1(0(0(0(1(0(0(0(z0))))))))))), 0'(2(1(0(0(0(1(0(0(0(z0)))))))))), 2'(1(0(0(0(1(0(0(0(z0))))))))), 1'(0(0(0(1(0(0(0(z0)))))))), 0'(0(0(1(0(0(0(z0))))))), 0'(0(1(0(0(0(z0)))))), 0'(1(0(0(0(z0))))), 1'(0(0(0(z0)))), 0'(0(0(z0))), 0'(0(z0)), 0'(z0)) 0'(1(0(1(1(0(1(2(2(1(1(1(0(2(1(1(1(z0))))))))))))))))) -> c9(0'(2(1(1(0(2(2(0(2(2(0(0(2(0(1(2(1(2(z0)))))))))))))))))), 2'(1(1(0(2(2(0(2(2(0(0(2(0(1(2(1(2(z0))))))))))))))))), 1'(1(0(2(2(0(2(2(0(0(2(0(1(2(1(2(z0)))))))))))))))), 1'(0(2(2(0(2(2(0(0(2(0(1(2(1(2(z0))))))))))))))), 0'(2(2(0(2(2(0(0(2(0(1(2(1(2(z0)))))))))))))), 2'(2(0(2(2(0(0(2(0(1(2(1(2(z0))))))))))))), 2'(0(2(2(0(0(2(0(1(2(1(2(z0)))))))))))), 0'(2(2(0(0(2(0(1(2(1(2(z0))))))))))), 2'(2(0(0(2(0(1(2(1(2(z0)))))))))), 2'(0(0(2(0(1(2(1(2(z0))))))))), 0'(0(2(0(1(2(1(2(z0)))))))), 0'(2(0(1(2(1(2(z0))))))), 2'(0(1(2(1(2(z0)))))), 0'(1(2(1(2(z0))))), 1'(2(1(2(z0)))), 2'(1(2(z0))), 1'(2(z0)), 2'(z0)) 0'(1(2(0(1(1(1(1(2(2(0(2(2(1(0(0(0(1(0(2(1(1(1(z0))))))))))))))))))))))) -> c10(0'(1(0(0(2(0(1(1(2(2(0(0(1(0(2(0(1(1(1(1(1(2(2(2(z0)))))))))))))))))))))))), 1'(0(0(2(0(1(1(2(2(0(0(1(0(2(0(1(1(1(1(1(2(2(2(z0))))))))))))))))))))))), 0'(0(2(0(1(1(2(2(0(0(1(0(2(0(1(1(1(1(1(2(2(2(z0)))))))))))))))))))))), 0'(2(0(1(1(2(2(0(0(1(0(2(0(1(1(1(1(1(2(2(2(z0))))))))))))))))))))), 2'(0(1(1(2(2(0(0(1(0(2(0(1(1(1(1(1(2(2(2(z0)))))))))))))))))))), 0'(1(1(2(2(0(0(1(0(2(0(1(1(1(1(1(2(2(2(z0))))))))))))))))))), 1'(1(2(2(0(0(1(0(2(0(1(1(1(1(1(2(2(2(z0)))))))))))))))))), 1'(2(2(0(0(1(0(2(0(1(1(1(1(1(2(2(2(z0))))))))))))))))), 2'(2(0(0(1(0(2(0(1(1(1(1(1(2(2(2(z0)))))))))))))))), 2'(0(0(1(0(2(0(1(1(1(1(1(2(2(2(z0))))))))))))))), 0'(0(1(0(2(0(1(1(1(1(1(2(2(2(z0)))))))))))))), 0'(1(0(2(0(1(1(1(1(1(2(2(2(z0))))))))))))), 1'(0(2(0(1(1(1(1(1(2(2(2(z0)))))))))))), 0'(2(0(1(1(1(1(1(2(2(2(z0))))))))))), 2'(0(1(1(1(1(1(2(2(2(z0)))))))))), 0'(1(1(1(1(1(2(2(2(z0))))))))), 1'(1(1(1(1(2(2(2(z0)))))))), 1'(1(1(1(2(2(2(z0))))))), 1'(1(1(2(2(2(z0)))))), 1'(1(2(2(2(z0))))), 1'(2(2(2(z0)))), 2'(2(2(z0))), 2'(2(z0)), 2'(z0)) 0'(0(0(2(2(0(2(1(1(0(0(2(2(1(2(0(1(0(1(0(1(1(0(0(z0)))))))))))))))))))))))) -> c11(0'(0(1(0(2(0(0(1(2(2(2(2(2(1(0(1(2(1(2(0(1(1(1(1(1(z0))))))))))))))))))))))))), 0'(1(0(2(0(0(1(2(2(2(2(2(1(0(1(2(1(2(0(1(1(1(1(1(z0)))))))))))))))))))))))), 1'(0(2(0(0(1(2(2(2(2(2(1(0(1(2(1(2(0(1(1(1(1(1(z0))))))))))))))))))))))), 0'(2(0(0(1(2(2(2(2(2(1(0(1(2(1(2(0(1(1(1(1(1(z0)))))))))))))))))))))), 2'(0(0(1(2(2(2(2(2(1(0(1(2(1(2(0(1(1(1(1(1(z0))))))))))))))))))))), 0'(0(1(2(2(2(2(2(1(0(1(2(1(2(0(1(1(1(1(1(z0)))))))))))))))))))), 0'(1(2(2(2(2(2(1(0(1(2(1(2(0(1(1(1(1(1(z0))))))))))))))))))), 1'(2(2(2(2(2(1(0(1(2(1(2(0(1(1(1(1(1(z0)))))))))))))))))), 2'(2(2(2(2(1(0(1(2(1(2(0(1(1(1(1(1(z0))))))))))))))))), 2'(2(2(2(1(0(1(2(1(2(0(1(1(1(1(1(z0)))))))))))))))), 2'(2(2(1(0(1(2(1(2(0(1(1(1(1(1(z0))))))))))))))), 2'(2(1(0(1(2(1(2(0(1(1(1(1(1(z0)))))))))))))), 2'(1(0(1(2(1(2(0(1(1(1(1(1(z0))))))))))))), 1'(0(1(2(1(2(0(1(1(1(1(1(z0)))))))))))), 0'(1(2(1(2(0(1(1(1(1(1(z0))))))))))), 1'(2(1(2(0(1(1(1(1(1(z0)))))))))), 2'(1(2(0(1(1(1(1(1(z0))))))))), 1'(2(0(1(1(1(1(1(z0)))))))), 2'(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)) 0'(1(0(0(2(2(0(1(0(1(2(1(2(2(2(1(0(1(2(1(0(1(1(1(2(0(2(1(z0)))))))))))))))))))))))))))) -> c12(0'(0(2(0(0(2(2(0(0(1(1(2(1(1(1(2(0(0(1(1(2(0(2(0(2(2(1(2(2(z0))))))))))))))))))))))))))))), 0'(2(0(0(2(2(0(0(1(1(2(1(1(1(2(0(0(1(1(2(0(2(0(2(2(1(2(2(z0)))))))))))))))))))))))))))), 2'(0(0(2(2(0(0(1(1(2(1(1(1(2(0(0(1(1(2(0(2(0(2(2(1(2(2(z0))))))))))))))))))))))))))), 0'(0(2(2(0(0(1(1(2(1(1(1(2(0(0(1(1(2(0(2(0(2(2(1(2(2(z0)))))))))))))))))))))))))), 0'(2(2(0(0(1(1(2(1(1(1(2(0(0(1(1(2(0(2(0(2(2(1(2(2(z0))))))))))))))))))))))))), 2'(2(0(0(1(1(2(1(1(1(2(0(0(1(1(2(0(2(0(2(2(1(2(2(z0)))))))))))))))))))))))), 2'(0(0(1(1(2(1(1(1(2(0(0(1(1(2(0(2(0(2(2(1(2(2(z0))))))))))))))))))))))), 0'(0(1(1(2(1(1(1(2(0(0(1(1(2(0(2(0(2(2(1(2(2(z0)))))))))))))))))))))), 0'(1(1(2(1(1(1(2(0(0(1(1(2(0(2(0(2(2(1(2(2(z0))))))))))))))))))))), 1'(1(2(1(1(1(2(0(0(1(1(2(0(2(0(2(2(1(2(2(z0)))))))))))))))))))), 1'(2(1(1(1(2(0(0(1(1(2(0(2(0(2(2(1(2(2(z0))))))))))))))))))), 2'(1(1(1(2(0(0(1(1(2(0(2(0(2(2(1(2(2(z0)))))))))))))))))), 1'(1(1(2(0(0(1(1(2(0(2(0(2(2(1(2(2(z0))))))))))))))))), 1'(1(2(0(0(1(1(2(0(2(0(2(2(1(2(2(z0)))))))))))))))), 1'(2(0(0(1(1(2(0(2(0(2(2(1(2(2(z0))))))))))))))), 2'(0(0(1(1(2(0(2(0(2(2(1(2(2(z0)))))))))))))), 0'(0(1(1(2(0(2(0(2(2(1(2(2(z0))))))))))))), 0'(1(1(2(0(2(0(2(2(1(2(2(z0)))))))))))), 1'(1(2(0(2(0(2(2(1(2(2(z0))))))))))), 1'(2(0(2(0(2(2(1(2(2(z0)))))))))), 2'(0(2(0(2(2(1(2(2(z0))))))))), 0'(2(0(2(2(1(2(2(z0)))))))), 2'(0(2(2(1(2(2(z0))))))), 0'(2(2(1(2(2(z0)))))), 2'(2(1(2(2(z0))))), 2'(1(2(2(z0)))), 1'(2(2(z0))), 2'(2(z0)), 2'(z0)) 0'(0(2(0(2(1(1(2(0(2(1(1(2(0(1(0(1(2(1(1(1(0(0(0(0(2(2(1(2(0(z0)))))))))))))))))))))))))))))) -> c13(0'(0(2(0(1(1(1(0(0(2(1(1(2(0(0(2(2(0(1(1(1(2(0(2(0(2(1(2(1(0(z0)))))))))))))))))))))))))))))), 0'(2(0(1(1(1(0(0(2(1(1(2(0(0(2(2(0(1(1(1(2(0(2(0(2(1(2(1(0(z0))))))))))))))))))))))))))))), 2'(0(1(1(1(0(0(2(1(1(2(0(0(2(2(0(1(1(1(2(0(2(0(2(1(2(1(0(z0)))))))))))))))))))))))))))), 0'(1(1(1(0(0(2(1(1(2(0(0(2(2(0(1(1(1(2(0(2(0(2(1(2(1(0(z0))))))))))))))))))))))))))), 1'(1(1(0(0(2(1(1(2(0(0(2(2(0(1(1(1(2(0(2(0(2(1(2(1(0(z0)))))))))))))))))))))))))), 1'(1(0(0(2(1(1(2(0(0(2(2(0(1(1(1(2(0(2(0(2(1(2(1(0(z0))))))))))))))))))))))))), 1'(0(0(2(1(1(2(0(0(2(2(0(1(1(1(2(0(2(0(2(1(2(1(0(z0)))))))))))))))))))))))), 0'(0(2(1(1(2(0(0(2(2(0(1(1(1(2(0(2(0(2(1(2(1(0(z0))))))))))))))))))))))), 0'(2(1(1(2(0(0(2(2(0(1(1(1(2(0(2(0(2(1(2(1(0(z0)))))))))))))))))))))), 2'(1(1(2(0(0(2(2(0(1(1(1(2(0(2(0(2(1(2(1(0(z0))))))))))))))))))))), 1'(1(2(0(0(2(2(0(1(1(1(2(0(2(0(2(1(2(1(0(z0)))))))))))))))))))), 1'(2(0(0(2(2(0(1(1(1(2(0(2(0(2(1(2(1(0(z0))))))))))))))))))), 2'(0(0(2(2(0(1(1(1(2(0(2(0(2(1(2(1(0(z0)))))))))))))))))), 0'(0(2(2(0(1(1(1(2(0(2(0(2(1(2(1(0(z0))))))))))))))))), 0'(2(2(0(1(1(1(2(0(2(0(2(1(2(1(0(z0)))))))))))))))), 2'(2(0(1(1(1(2(0(2(0(2(1(2(1(0(z0))))))))))))))), 2'(0(1(1(1(2(0(2(0(2(1(2(1(0(z0)))))))))))))), 0'(1(1(1(2(0(2(0(2(1(2(1(0(z0))))))))))))), 1'(1(1(2(0(2(0(2(1(2(1(0(z0)))))))))))), 1'(1(2(0(2(0(2(1(2(1(0(z0))))))))))), 1'(2(0(2(0(2(1(2(1(0(z0)))))))))), 2'(0(2(0(2(1(2(1(0(z0))))))))), 0'(2(0(2(1(2(1(0(z0)))))))), 2'(0(2(1(2(1(0(z0))))))), 0'(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'(1(0(1(0(2(1(1(0(1(2(0(0(1(2(2(0(2(0(2(1(2(1(2(2(0(2(2(1(2(z0)))))))))))))))))))))))))))))) -> c14(0'(2(2(1(0(0(0(2(2(1(0(2(0(2(0(1(2(0(1(2(0(1(2(0(2(0(1(2(1(2(1(z0))))))))))))))))))))))))))))))), 2'(2(1(0(0(0(2(2(1(0(2(0(2(0(1(2(0(1(2(0(1(2(0(2(0(1(2(1(2(1(z0)))))))))))))))))))))))))))))), 2'(1(0(0(0(2(2(1(0(2(0(2(0(1(2(0(1(2(0(1(2(0(2(0(1(2(1(2(1(z0))))))))))))))))))))))))))))), 1'(0(0(0(2(2(1(0(2(0(2(0(1(2(0(1(2(0(1(2(0(2(0(1(2(1(2(1(z0)))))))))))))))))))))))))))), 0'(0(0(2(2(1(0(2(0(2(0(1(2(0(1(2(0(1(2(0(2(0(1(2(1(2(1(z0))))))))))))))))))))))))))), 0'(0(2(2(1(0(2(0(2(0(1(2(0(1(2(0(1(2(0(2(0(1(2(1(2(1(z0)))))))))))))))))))))))))), 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2'(2(1(1(0(2(1(1(1(2(1(2(2(2(2(1(2(1(0(2(2(z0))))))))))))))))))))) -> c29(1'(2(1(2(2(0(0(2(0(0(0(2(2(1(0(2(0(0(2(0(2(1(z0)))))))))))))))))))))), 2'(1(2(2(0(0(2(0(0(0(2(2(1(0(2(0(0(2(0(2(1(z0))))))))))))))))))))), 1'(2(2(0(0(2(0(0(0(2(2(1(0(2(0(0(2(0(2(1(z0)))))))))))))))))))), 2'(2(0(0(2(0(0(0(2(2(1(0(2(0(0(2(0(2(1(z0))))))))))))))))))), 2'(0(0(2(0(0(0(2(2(1(0(2(0(0(2(0(2(1(z0)))))))))))))))))), 0'(0(2(0(0(0(2(2(1(0(2(0(0(2(0(2(1(z0))))))))))))))))), 0'(2(0(0(0(2(2(1(0(2(0(0(2(0(2(1(z0)))))))))))))))), 2'(0(0(0(2(2(1(0(2(0(0(2(0(2(1(z0))))))))))))))), 0'(0(0(2(2(1(0(2(0(0(2(0(2(1(z0)))))))))))))), 0'(0(2(2(1(0(2(0(0(2(0(2(1(z0))))))))))))), 0'(2(2(1(0(2(0(0(2(0(2(1(z0)))))))))))), 2'(2(1(0(2(0(0(2(0(2(1(z0))))))))))), 2'(1(0(2(0(0(2(0(2(1(z0)))))))))), 1'(0(2(0(0(2(0(2(1(z0))))))))), 0'(2(0(0(2(0(2(1(z0)))))))), 2'(0(0(2(0(2(1(z0))))))), 0'(0(2(0(2(1(z0)))))), 0'(2(0(2(1(z0))))), 2'(0(2(1(z0)))), 0'(2(1(z0))), 2'(1(z0)), 1'(z0)) 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2'(1(0(1(2(0(1(0(2(1(1(2(0(0(z0)))))))))))))), 1'(0(1(2(0(1(0(2(1(1(2(0(0(z0))))))))))))), 0'(1(2(0(1(0(2(1(1(2(0(0(z0)))))))))))), 1'(2(0(1(0(2(1(1(2(0(0(z0))))))))))), 2'(0(1(0(2(1(1(2(0(0(z0)))))))))), 0'(1(0(2(1(1(2(0(0(z0))))))))), 1'(0(2(1(1(2(0(0(z0)))))))), 0'(2(1(1(2(0(0(z0))))))), 2'(1(1(2(0(0(z0)))))), 1'(1(2(0(0(z0))))), 1'(2(0(0(z0)))), 0'(0(z0)), 0'(z0)) 2'(2(2(1(0(0(2(0(1(0(2(1(0(2(1(0(0(1(1(0(0(0(2(0(2(z0))))))))))))))))))))))))) -> c33(0'(0(2(0(2(z0))))), 2'(0(2(z0))), 0'(2(z0)), 2'(z0)) 1'(0(2(1(0(0(1(0(1(2(z0)))))))))) -> c62(1'(2(0(0(1(1(0(0(1(2(z0)))))))))), 2'(0(0(1(1(0(0(1(2(z0))))))))), 0'(0(1(1(0(0(1(2(z0)))))))), 0'(1(1(0(0(1(2(z0))))))), 1'(1(0(0(1(2(z0)))))), 1'(0(0(1(2(z0))))), 0'(1(2(z0))), 1'(2(z0)), 2'(z0)) 1'(1(0(1(1(1(1(0(1(0(0(2(1(1(2(0(0(1(1(0(2(0(0(0(z0)))))))))))))))))))))))) -> c66(2'(0(0(2(1(0(2(2(2(0(0(2(2(2(2(0(0(0(2(0(1(2(0(0(0(z0))))))))))))))))))))))))), 0'(0(2(1(0(2(2(2(0(0(2(2(2(2(0(0(0(2(0(1(2(0(0(0(z0)))))))))))))))))))))))), 0'(2(1(0(2(2(2(0(0(2(2(2(2(0(0(0(2(0(1(2(0(0(0(z0))))))))))))))))))))))), 2'(1(0(2(2(2(0(0(2(2(2(2(0(0(0(2(0(1(2(0(0(0(z0)))))))))))))))))))))), 1'(0(2(2(2(0(0(2(2(2(2(0(0(0(2(0(1(2(0(0(0(z0))))))))))))))))))))), 0'(2(2(2(0(0(2(2(2(2(0(0(0(2(0(1(2(0(0(0(z0)))))))))))))))))))), 2'(2(2(0(0(2(2(2(2(0(0(0(2(0(1(2(0(0(0(z0))))))))))))))))))), 2'(2(0(0(2(2(2(2(0(0(0(2(0(1(2(0(0(0(z0)))))))))))))))))), 2'(0(0(2(2(2(2(0(0(0(2(0(1(2(0(0(0(z0))))))))))))))))), 0'(0(2(2(2(2(0(0(0(2(0(1(2(0(0(0(z0)))))))))))))))), 0'(2(2(2(2(0(0(0(2(0(1(2(0(0(0(z0))))))))))))))), 2'(2(2(2(0(0(0(2(0(1(2(0(0(0(z0)))))))))))))), 2'(2(2(0(0(0(2(0(1(2(0(0(0(z0))))))))))))), 2'(2(0(0(0(2(0(1(2(0(0(0(z0)))))))))))), 2'(0(0(0(2(0(1(2(0(0(0(z0))))))))))), 0'(0(0(2(0(1(2(0(0(0(z0)))))))))), 0'(0(2(0(1(2(0(0(0(z0))))))))), 0'(2(0(1(2(0(0(0(z0)))))))), 2'(0(1(2(0(0(0(z0))))))), 0'(1(2(0(0(0(z0)))))), 1'(2(0(0(0(z0))))), 0'(0(0(z0))), 0'(0(z0)), 0'(z0)) 1'(2(1(1(0(2(2(0(1(2(2(0(2(0(0(1(1(0(1(2(2(2(0(2(2(0(0(0(0(1(1(0(1(0(0(0(1(2(1(2(2(2(0(0(z0)))))))))))))))))))))))))))))))))))))))))))) -> c80(2'(2(2(0(0(z0))))), 2'(2(0(0(z0)))), 0'(0(z0)), 0'(z0)) K tuples:none Defined Rule Symbols: encArg_1, 0_1, 2_1, 1_1 Defined Pair Symbols: ENCARG_1, 0'_1, 2'_1, 1'_1, ENCODE_0_1, ENCODE_1_1, ENCODE_2_1 Compound Symbols: c1_2, c2_2, c6_9, c7_11, c8_16, c9_18, c10_24, c11_25, c12_29, c13_30, c14_31, c15_32, c16_32, c17_35, c18_37, c19_39, c20_38, c21_43, c22_42, c23_45, c24_43, c25_46, c26_8, c27_14, c28_22, c29_22, c30_23, c31_23, c34_29, c35_29, c36_31, c37_35, c38_36, c39_36, c40_35, c41_35, c42_36, c43_37, c44_39, c45_40, c46_42, c47_39, c48_41, c49_40, c50_40, c51_40, c52_42, c54_43, c55_43, c56_44, c57_46, c58_50, c59_49, c60_49, c61_9, c63_13, c64_20, c65_22, c67_27, c68_29, c69_31, c70_31, c71_32, c72_37, c74_37, c75_37, c76_39, c77_41, c78_43, c79_45, c32_25, c33_4, c62_9, c66_24, c80_4, c53_1, c_2 ---------------------------------------- (49) CdtNarrowingProof (BOTH BOUNDS(ID, ID)) Use narrowing to replace ENCARG(cons_2(z0)) -> c1(2'(encArg(z0)), ENCARG(z0)) by ENCARG(cons_2(cons_0(z0))) -> c1(2'(0(encArg(z0))), ENCARG(cons_0(z0))) ENCARG(cons_2(cons_2(z0))) -> c1(2'(2(encArg(z0))), ENCARG(cons_2(z0))) ENCARG(cons_2(cons_1(z0))) -> c1(2'(1(encArg(z0))), ENCARG(cons_1(z0))) ---------------------------------------- (50) 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(0(1(1(0(0(0(1(z0)))))))) -> 0(2(0(1(0(1(1(1(1(z0))))))))) 0(1(2(1(1(1(0(2(0(2(z0)))))))))) -> 0(2(0(2(0(2(0(2(0(1(2(z0))))))))))) 0(1(0(1(2(0(0(1(0(0(1(2(1(0(1(0(z0)))))))))))))))) -> 0(1(1(1(1(2(0(2(1(0(0(0(1(0(0(0(z0)))))))))))))))) 0(1(0(1(1(0(1(2(2(1(1(1(0(2(1(1(1(z0))))))))))))))))) -> 0(2(1(1(0(2(2(0(2(2(0(0(2(0(1(2(1(2(z0)))))))))))))))))) 0(1(2(0(1(1(1(1(2(2(0(2(2(1(0(0(0(1(0(2(1(1(1(z0))))))))))))))))))))))) -> 0(1(0(0(2(0(1(1(2(2(0(0(1(0(2(0(1(1(1(1(1(2(2(2(z0)))))))))))))))))))))))) 0(0(0(2(2(0(2(1(1(0(0(2(2(1(2(0(1(0(1(0(1(1(0(0(z0)))))))))))))))))))))))) -> 0(0(1(0(2(0(0(1(2(2(2(2(2(1(0(1(2(1(2(0(1(1(1(1(1(z0))))))))))))))))))))))))) 0(1(0(0(2(2(0(1(0(1(2(1(2(2(2(1(0(1(2(1(0(1(1(1(2(0(2(1(z0)))))))))))))))))))))))))))) -> 0(0(2(0(0(2(2(0(0(1(1(2(1(1(1(2(0(0(1(1(2(0(2(0(2(2(1(2(2(z0))))))))))))))))))))))))))))) 0(0(2(0(2(1(1(2(0(2(1(1(2(0(1(0(1(2(1(1(1(0(0(0(0(2(2(1(2(0(z0)))))))))))))))))))))))))))))) -> 0(0(2(0(1(1(1(0(0(2(1(1(2(0(0(2(2(0(1(1(1(2(0(2(0(2(1(2(1(0(z0)))))))))))))))))))))))))))))) 0(1(0(1(0(2(1(1(0(1(2(0(0(1(2(2(0(2(0(2(1(2(1(2(2(0(2(2(1(2(z0)))))))))))))))))))))))))))))) -> 0(2(2(1(0(0(0(2(2(1(0(2(0(2(0(1(2(0(1(2(0(1(2(0(2(0(1(2(1(2(1(z0))))))))))))))))))))))))))))))) 0(1(0(0(2(1(0(1(1(1(1(1(0(1(0(1(0(2(2(0(2(2(1(2(2(2(1(0(0(2(2(z0))))))))))))))))))))))))))))))) -> 0(0(2(1(1(2(0(1(2(2(2(0(2(1(2(2(0(2(1(0(0(1(2(0(0(2(0(1(0(2(0(2(z0)))))))))))))))))))))))))))))))) 0(0(1(1(1(1(2(2(0(0(2(1(2(2(1(0(2(1(0(0(1(1(0(2(0(2(2(2(2(0(2(1(z0)))))))))))))))))))))))))))))))) -> 0(0(1(1(1(2(1(2(2(0(0(1(2(2(1(2(2(1(2(0(1(0(2(0(0(2(0(2(1(0(2(1(z0)))))))))))))))))))))))))))))))) 0(2(1(2(0(1(2(1(1(1(2(0(0(0(0(1(2(1(0(0(2(2(2(0(1(2(0(2(1(1(2(2(1(2(1(z0))))))))))))))))))))))))))))))))))) -> 0(2(1(2(0(2(0(1(0(1(0(0(1(2(0(2(2(1(0(2(1(2(0(0(1(2(1(2(2(2(1(2(1(1(1(z0))))))))))))))))))))))))))))))))))) 0(2(2(2(1(2(0(2(1(0(1(2(2(0(1(1(0(2(0(0(1(2(2(2(0(0(2(0(2(2(1(0(0(1(0(0(z0)))))))))))))))))))))))))))))))))))) -> 0(0(0(2(0(0(0(2(2(2(0(1(0(2(1(2(2(0(1(2(2(0(0(0(1(0(0(0(2(0(1(1(0(2(0(2(0(z0))))))))))))))))))))))))))))))))))))) 0(0(0(1(0(0(1(2(1(0(2(0(2(1(1(2(2(2(1(1(0(2(2(2(2(2(0(0(0(1(0(1(0(0(0(1(0(z0))))))))))))))))))))))))))))))))))))) -> 0(1(1(0(2(1(1(1(0(2(0(1(2(0(0(0(2(2(1(0(2(2(2(1(1(1(2(1(0(2(1(1(0(1(2(0(1(1(1(z0))))))))))))))))))))))))))))))))))))))) 0(1(1(1(0(1(0(0(2(1(0(0(1(0(0(0(0(1(1(2(1(1(1(0(0(0(1(2(0(2(2(2(2(0(2(0(0(z0))))))))))))))))))))))))))))))))))))) -> 0(0(2(0(1(2(0(0(1(2(0(2(1(1(0(2(1(2(2(2(2(2(0(0(1(0(1(1(2(0(0(1(1(1(1(1(2(0(z0)))))))))))))))))))))))))))))))))))))) 0(2(0(0(1(0(0(2(2(2(0(1(1(1(1(2(2(0(0(0(0(2(0(1(2(1(0(1(2(1(2(2(2(0(0(0(0(1(0(0(z0)))))))))))))))))))))))))))))))))))))))) -> 0(1(0(0(2(0(2(0(0(2(1(0(0(2(2(1(1(2(2(2(1(2(0(1(1(2(0(2(0(2(1(2(0(2(0(1(2(0(2(1(0(0(1(z0))))))))))))))))))))))))))))))))))))))))))) 0(2(1(1(1(0(2(1(1(0(0(2(1(0(2(1(1(0(2(2(1(0(2(0(1(0(2(1(0(1(1(2(2(1(0(1(2(2(0(0(z0)))))))))))))))))))))))))))))))))))))))) -> 0(2(1(2(2(2(2(1(1(1(1(1(2(0(0(2(0(2(0(0(2(1(1(1(0(2(0(2(2(2(1(1(1(0(0(0(1(2(2(0(2(0(z0)))))))))))))))))))))))))))))))))))))))))) 0(2(2(0(1(2(0(0(0(2(2(2(1(2(2(2(1(0(0(0(2(0(2(1(1(0(2(1(2(0(1(0(2(1(2(0(2(1(0(1(0(1(z0)))))))))))))))))))))))))))))))))))))))))) -> 0(1(1(1(2(0(0(0(0(1(1(2(0(2(0(2(0(0(0(2(2(0(0(0(0(2(2(0(1(1(0(0(1(2(1(2(0(1(2(0(0(2(0(0(0(z0))))))))))))))))))))))))))))))))))))))))))))) 0(2(2(2(0(1(1(2(1(1(2(2(1(1(1(2(2(1(1(1(1(0(2(1(1(0(0(2(0(1(2(2(1(1(0(0(0(1(1(0(0(0(z0)))))))))))))))))))))))))))))))))))))))))) -> 0(0(1(0(2(2(0(2(0(0(2(0(2(0(1(2(0(2(0(2(0(0(1(1(2(1(0(1(0(1(2(2(0(2(2(1(0(0(2(0(2(1(0(z0))))))))))))))))))))))))))))))))))))))))))) 0(2(1(2(0(2(1(1(2(2(0(2(1(2(2(0(0(0(1(1(1(0(2(2(2(2(2(2(2(2(2(1(1(1(2(1(0(1(1(0(0(0(2(0(0(z0))))))))))))))))))))))))))))))))))))))))))))) -> 0(2(2(0(2(2(2(0(0(2(2(1(0(1(0(0(2(2(1(1(0(2(2(0(2(2(2(0(1(2(0(0(2(0(2(0(2(1(1(2(2(1(2(1(1(0(z0)))))))))))))))))))))))))))))))))))))))))))))) 2(2(0(0(2(1(0(1(z0)))))))) -> 1(2(2(0(0(1(2(0(z0)))))))) 2(1(2(0(0(0(0(1(2(0(1(1(1(z0))))))))))))) -> 0(0(2(0(2(0(0(2(0(0(0(1(1(1(z0)))))))))))))) 2(1(1(1(0(0(1(2(1(0(0(2(1(0(1(1(0(1(1(0(z0)))))))))))))))))))) -> 1(0(2(1(0(2(0(2(2(0(0(2(0(0(0(2(0(1(1(1(2(0(z0)))))))))))))))))))))) 2(2(1(1(0(2(1(1(1(2(1(2(2(2(2(1(2(1(0(2(2(z0))))))))))))))))))))) -> 1(2(1(2(2(0(0(2(0(0(0(2(2(1(0(2(0(0(2(0(2(1(z0)))))))))))))))))))))) 2(1(2(2(0(2(2(0(0(2(1(1(2(2(1(2(2(0(1(0(1(1(z0)))))))))))))))))))))) -> 1(0(1(1(2(1(1(2(1(0(0(0(1(0(0(2(0(0(2(0(1(0(1(z0))))))))))))))))))))))) 2(2(0(0(0(1(0(2(1(0(1(0(0(0(1(0(2(2(2(1(0(0(0(z0))))))))))))))))))))))) -> 0(0(2(0(0(1(2(0(0(1(1(0(2(0(2(2(0(1(0(2(1(0(0(z0))))))))))))))))))))))) 2(1(0(0(1(1(0(2(2(0(1(0(0(1(2(0(2(1(2(0(1(0(0(0(z0)))))))))))))))))))))))) -> 2(1(1(0(1(2(0(0(2(0(2(0(2(1(0(1(2(0(1(0(2(1(1(2(0(0(z0)))))))))))))))))))))))))) 2(2(2(1(0(0(2(0(1(0(2(1(0(2(1(0(0(1(1(0(0(0(2(0(2(z0))))))))))))))))))))))))) -> 1(0(2(0(1(0(1(0(2(0(1(1(1(2(1(0(2(0(2(0(2(2(0(0(2(0(2(z0))))))))))))))))))))))))))) 2(1(1(1(0(1(0(0(1(0(1(1(0(1(0(2(0(0(0(1(1(1(2(2(0(1(2(2(z0)))))))))))))))))))))))))))) -> 2(0(0(1(2(1(1(2(0(2(0(1(1(1(1(2(0(1(2(1(2(2(2(2(2(2(0(2(2(z0))))))))))))))))))))))))))))) 2(1(1(0(0(0(1(1(2(2(1(2(1(2(1(2(2(0(1(0(0(0(1(2(0(0(1(1(2(z0))))))))))))))))))))))))))))) -> 0(2(1(2(2(0(1(0(1(2(0(0(1(1(1(0(1(1(1(1(2(0(2(2(0(2(1(0(2(z0))))))))))))))))))))))))))))) 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1(2(2(2(0(2(0(2(1(2(0(0(0(1(1(0(1(2(0(0(0(2(0(0(0(1(0(2(2(2(2(1(0(2(2(z0))))))))))))))))))))))))))))))))))) 2(2(2(0(1(1(1(1(1(1(0(2(1(1(0(0(0(1(1(2(2(2(2(2(2(2(2(0(0(1(0(2(0(1(z0)))))))))))))))))))))))))))))))))) -> 0(1(0(0(1(0(0(1(2(0(2(0(2(0(2(0(2(2(1(0(2(1(1(1(1(1(1(0(1(0(1(1(0(0(0(z0))))))))))))))))))))))))))))))))))) 2(1(0(2(1(0(2(2(2(2(0(0(0(1(1(1(2(2(0(2(2(2(0(1(0(2(1(0(1(1(2(2(2(0(0(z0))))))))))))))))))))))))))))))))))) -> 0(2(0(1(2(1(1(0(2(2(0(0(0(0(2(0(1(0(2(1(2(2(0(1(0(1(0(1(2(0(0(2(2(0(1(0(z0)))))))))))))))))))))))))))))))))))) 2(2(2(1(0(0(1(0(0(1(2(1(1(2(1(2(0(1(1(0(1(2(0(1(2(2(1(0(1(0(0(1(2(1(1(z0))))))))))))))))))))))))))))))))))) -> 0(0(2(0(0(0(1(2(1(2(0(1(1(0(2(0(1(0(1(2(0(0(1(1(2(0(0(1(1(0(2(2(0(2(2(1(1(z0))))))))))))))))))))))))))))))))))))) 2(0(2(2(1(2(1(2(2(2(0(1(0(2(2(1(0(0(0(1(2(0(1(2(1(0(0(2(2(0(2(1(1(1(0(0(1(z0))))))))))))))))))))))))))))))))))))) -> 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2(0(0(2(0(0(1(2(2(2(2(2(1(2(0(2(0(1(2(1(0(0(1(1(0(1(1(1(2(0(2(0(2(1(0(1(2(0(1(2(0(1(z0)))))))))))))))))))))))))))))))))))))))))) 2(1(2(0(0(2(1(0(1(2(1(2(0(0(0(0(1(1(1(0(2(0(1(0(2(1(2(1(2(0(2(1(1(1(1(0(1(0(0(1(1(0(z0)))))))))))))))))))))))))))))))))))))))))) -> 2(2(1(1(1(1(2(2(0(2(1(1(1(2(2(1(0(1(0(1(2(0(2(2(2(1(1(2(0(1(2(0(1(0(0(2(1(0(2(0(1(0(1(z0))))))))))))))))))))))))))))))))))))))))))) 2(2(0(2(2(1(2(0(2(2(2(1(1(0(2(1(1(1(2(2(0(1(0(1(0(1(0(0(1(2(0(0(2(2(0(0(2(1(1(1(1(2(z0)))))))))))))))))))))))))))))))))))))))))) -> 0(1(2(2(0(2(0(0(0(2(0(2(1(2(0(0(1(0(2(0(0(2(0(1(1(2(1(1(0(2(1(2(1(2(0(0(0(1(2(0(0(1(0(z0))))))))))))))))))))))))))))))))))))))))))) 2(2(2(2(0(2(2(2(2(0(1(2(1(1(0(2(1(1(2(1(0(1(0(1(0(0(0(0(2(0(0(1(2(1(2(1(1(0(0(1(2(0(1(z0))))))))))))))))))))))))))))))))))))))))))) -> 2(0(1(2(1(2(0(2(0(1(2(0(1(1(0(2(2(0(0(1(1(2(2(1(1(1(2(1(2(2(0(2(2(1(0(1(1(1(1(1(0(1(2(0(z0)))))))))))))))))))))))))))))))))))))))))))) 2(2(1(0(0(2(1(2(0(0(0(2(1(0(2(0(2(1(2(2(2(0(1(2(2(0(0(0(1(0(2(2(2(1(0(1(2(1(0(0(2(0(1(0(1(z0))))))))))))))))))))))))))))))))))))))))))))) -> 2(1(1(2(1(1(1(0(2(0(1(1(1(2(0(0(2(2(1(2(2(2(2(0(2(0(1(1(0(1(2(2(2(1(1(2(1(1(1(0(0(0(2(0(1(0(z0)))))))))))))))))))))))))))))))))))))))))))))) 2(0(1(1(2(0(0(1(1(1(0(0(0(2(0(0(1(0(0(1(0(0(0(2(1(2(1(0(1(1(1(1(0(0(1(1(0(2(0(2(2(1(0(2(1(1(0(z0))))))))))))))))))))))))))))))))))))))))))))))) -> 2(0(2(0(2(0(2(0(2(0(2(1(2(1(0(0(1(0(0(2(1(2(0(2(0(0(2(1(2(2(1(1(2(2(2(1(2(1(0(0(2(0(0(2(2(2(1(0(2(0(z0)))))))))))))))))))))))))))))))))))))))))))))))))) 2(1(2(0(2(2(0(2(0(0(1(0(1(0(0(1(0(2(2(1(0(2(1(1(0(2(1(1(0(1(2(2(0(0(0(1(2(1(2(0(1(1(1(2(1(1(0(z0))))))))))))))))))))))))))))))))))))))))))))))) -> 0(2(2(0(1(2(1(0(2(0(2(0(0(1(2(2(1(1(2(2(2(0(1(2(0(0(2(2(0(0(0(1(2(2(1(2(2(1(0(2(1(1(1(1(0(1(0(2(0(z0))))))))))))))))))))))))))))))))))))))))))))))))) 2(1(2(2(2(1(1(1(1(1(1(0(1(0(0(2(2(2(0(1(1(1(0(2(1(1(2(1(2(0(0(0(0(2(1(1(0(2(1(1(0(0(0(1(0(0(1(z0))))))))))))))))))))))))))))))))))))))))))))))) -> 0(2(2(2(1(2(1(2(0(1(1(1(1(1(2(2(0(0(0(2(2(2(1(1(0(1(1(0(1(1(1(2(0(0(2(0(1(1(2(2(2(1(0(2(2(2(2(2(0(z0))))))))))))))))))))))))))))))))))))))))))))))))) 1(2(1(0(0(1(2(1(1(z0))))))))) -> 1(0(2(0(1(1(2(1(1(z0))))))))) 1(0(2(1(0(0(1(0(1(2(z0)))))))))) -> 1(2(0(0(1(1(0(0(1(2(z0)))))))))) 1(1(0(1(2(2(2(2(0(2(1(1(z0)))))))))))) -> 1(1(0(1(2(2(0(2(0(1(2(2(2(z0))))))))))))) 1(2(0(1(0(0(0(1(2(2(1(1(2(0(1(0(1(1(0(z0))))))))))))))))))) -> 2(0(2(1(0(2(2(2(0(0(0(2(2(2(2(0(2(0(2(0(z0)))))))))))))))))))) 1(0(1(0(2(2(2(2(0(1(1(0(1(2(2(0(2(1(0(1(1(z0))))))))))))))))))))) -> 2(0(0(0(2(2(1(2(0(2(0(1(0(0(2(0(2(0(0(2(1(0(z0)))))))))))))))))))))) 1(1(0(1(1(1(1(0(1(0(0(2(1(1(2(0(0(1(1(0(2(0(0(0(z0)))))))))))))))))))))))) -> 2(0(0(2(1(0(2(2(2(0(0(2(2(2(2(0(0(0(2(0(1(2(0(0(0(z0))))))))))))))))))))))))) 1(0(0(1(2(0(0(0(1(1(1(1(2(2(2(2(2(1(1(2(1(0(1(0(1(0(z0)))))))))))))))))))))))))) -> 1(0(1(0(2(2(0(2(0(1(1(2(2(1(2(2(2(2(0(0(1(1(0(1(0(2(0(z0))))))))))))))))))))))))))) 1(2(1(0(0(1(1(0(1(0(2(1(2(0(2(0(1(1(2(1(2(0(1(1(0(0(0(1(z0)))))))))))))))))))))))))))) -> 1(1(1(1(2(0(2(0(0(1(2(0(0(0(0(2(2(1(0(0(2(0(1(2(0(1(2(0(0(z0))))))))))))))))))))))))))))) 1(2(0(0(0(2(0(1(1(2(2(0(0(2(2(0(2(1(1(1(2(1(1(1(0(1(2(1(2(1(z0)))))))))))))))))))))))))))))) -> 1(0(2(0(1(1(2(0(2(1(0(0(1(2(2(0(1(1(2(0(2(2(1(2(2(2(2(1(1(1(2(z0))))))))))))))))))))))))))))))) 1(2(1(1(1(2(1(0(2(2(0(1(2(0(0(1(0(0(2(1(2(1(2(1(0(1(0(2(1(0(z0)))))))))))))))))))))))))))))) -> 1(0(1(0(0(0(2(0(1(1(1(2(2(2(2(1(0(2(0(2(2(1(1(0(1(2(2(1(1(1(0(z0))))))))))))))))))))))))))))))) 1(2(2(2(1(0(0(2(0(0(1(1(1(2(1(1(1(2(2(1(2(0(2(1(0(1(2(1(1(1(2(2(z0)))))))))))))))))))))))))))))))) -> 1(1(1(2(1(0(2(1(0(2(1(1(2(2(1(2(1(1(1(2(1(0(2(0(0(2(0(2(2(1(1(2(z0)))))))))))))))))))))))))))))))) 1(2(2(0(2(1(2(0(2(2(1(1(1(2(1(2(1(2(2(2(2(2(0(0(0(0(1(0(0(0(1(1(2(0(z0)))))))))))))))))))))))))))))))))) -> 1(1(2(1(1(1(0(1(2(0(0(1(2(2(0(2(0(0(2(0(1(0(2(0(0(1(0(0(0(2(0(2(1(2(2(0(1(z0))))))))))))))))))))))))))))))))))))) 1(1(2(1(1(0(2(0(2(0(0(0(1(0(1(1(1(1(2(2(1(1(0(2(2(2(0(2(1(0(1(2(0(0(0(z0))))))))))))))))))))))))))))))))))) -> 1(0(2(0(1(0(2(0(1(1(0(0(0(1(2(0(1(1(1(0(2(0(2(0(0(2(0(2(2(1(2(0(2(2(0(1(0(z0))))))))))))))))))))))))))))))))))))) 1(0(1(2(0(1(0(2(2(1(2(2(0(0(0(2(1(1(2(0(2(1(1(1(0(1(0(0(0(2(1(1(2(1(0(0(z0)))))))))))))))))))))))))))))))))))) -> 1(1(2(1(0(2(1(1(2(0(2(1(1(1(2(2(0(2(1(2(2(1(1(1(0(1(0(2(0(0(0(2(0(2(0(0(1(z0))))))))))))))))))))))))))))))))))))) 1(1(2(1(0(2(2(1(2(2(2(0(1(1(0(0(2(1(0(1(2(2(2(1(1(1(2(0(0(0(1(1(0(1(1(1(2(0(z0)))))))))))))))))))))))))))))))))))))) -> 2(0(0(2(0(2(1(0(0(1(0(0(0(1(1(1(0(2(1(0(1(2(0(0(1(1(2(2(1(0(0(2(0(0(1(2(1(0(1(z0))))))))))))))))))))))))))))))))))))))) 1(2(2(0(1(2(2(2(0(1(1(1(2(1(1(0(0(1(2(1(2(2(2(1(0(0(0(0(1(1(2(1(0(0(1(0(2(1(1(z0))))))))))))))))))))))))))))))))))))))) -> 1(2(2(1(2(1(1(1(1(1(2(2(1(1(1(0(2(2(2(0(2(0(0(2(2(0(0(0(2(0(2(0(2(2(2(1(0(2(0(2(2(z0))))))))))))))))))))))))))))))))))))))))) 1(1(1(2(0(1(0(1(0(1(1(1(2(1(1(2(1(2(2(1(1(2(1(1(2(1(2(0(0(2(2(2(1(2(0(0(0(0(1(1(0(0(z0)))))))))))))))))))))))))))))))))))))))))) -> 1(2(1(0(1(2(0(1(0(2(0(2(2(2(0(1(1(1(1(2(1(0(2(2(1(0(2(2(1(1(0(2(1(2(0(2(0(2(1(0(0(0(0(z0))))))))))))))))))))))))))))))))))))))))))) 1(2(1(2(1(0(2(2(2(1(2(0(0(2(2(0(1(2(1(1(2(1(0(1(2(2(1(2(0(1(2(2(1(2(2(1(1(2(1(0(1(1(1(z0))))))))))))))))))))))))))))))))))))))))))) -> 1(0(0(2(1(0(1(2(2(1(0(1(2(1(0(1(0(1(2(0(2(2(1(0(2(1(2(2(2(0(0(1(2(0(2(0(0(1(1(0(2(1(2(0(1(z0))))))))))))))))))))))))))))))))))))))))))))) 1(2(1(1(0(2(2(0(1(2(2(0(2(0(0(1(1(0(1(2(2(2(0(2(2(0(0(0(0(1(1(0(1(0(0(0(1(2(1(2(2(2(0(0(z0)))))))))))))))))))))))))))))))))))))))))))) -> 1(1(2(1(0(2(0(2(2(2(1(1(1(1(0(2(1(1(2(1(0(0(2(1(0(0(2(0(2(1(2(2(1(0(1(1(2(0(1(0(2(2(2(0(0(z0))))))))))))))))))))))))))))))))))))))))))))) Tuples: ENCARG(cons_1(z0)) -> c2(1'(encArg(z0)), ENCARG(z0)) 0'(0(1(1(0(0(0(1(z0)))))))) -> c6(0'(2(0(1(0(1(1(1(1(z0))))))))), 2'(0(1(0(1(1(1(1(z0)))))))), 0'(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)) 0'(1(2(1(1(1(0(2(0(2(z0)))))))))) -> c7(0'(2(0(2(0(2(0(2(0(1(2(z0))))))))))), 2'(0(2(0(2(0(2(0(1(2(z0)))))))))), 0'(2(0(2(0(2(0(1(2(z0))))))))), 2'(0(2(0(2(0(1(2(z0)))))))), 0'(2(0(2(0(1(2(z0))))))), 2'(0(2(0(1(2(z0)))))), 0'(2(0(1(2(z0))))), 2'(0(1(2(z0)))), 0'(1(2(z0))), 1'(2(z0)), 2'(z0)) 0'(1(0(1(2(0(0(1(0(0(1(2(1(0(1(0(z0)))))))))))))))) -> c8(0'(1(1(1(1(2(0(2(1(0(0(0(1(0(0(0(z0)))))))))))))))), 1'(1(1(1(2(0(2(1(0(0(0(1(0(0(0(z0))))))))))))))), 1'(1(1(2(0(2(1(0(0(0(1(0(0(0(z0)))))))))))))), 1'(1(2(0(2(1(0(0(0(1(0(0(0(z0))))))))))))), 1'(2(0(2(1(0(0(0(1(0(0(0(z0)))))))))))), 2'(0(2(1(0(0(0(1(0(0(0(z0))))))))))), 0'(2(1(0(0(0(1(0(0(0(z0)))))))))), 2'(1(0(0(0(1(0(0(0(z0))))))))), 1'(0(0(0(1(0(0(0(z0)))))))), 0'(0(0(1(0(0(0(z0))))))), 0'(0(1(0(0(0(z0)))))), 0'(1(0(0(0(z0))))), 1'(0(0(0(z0)))), 0'(0(0(z0))), 0'(0(z0)), 0'(z0)) 0'(1(0(1(1(0(1(2(2(1(1(1(0(2(1(1(1(z0))))))))))))))))) -> c9(0'(2(1(1(0(2(2(0(2(2(0(0(2(0(1(2(1(2(z0)))))))))))))))))), 2'(1(1(0(2(2(0(2(2(0(0(2(0(1(2(1(2(z0))))))))))))))))), 1'(1(0(2(2(0(2(2(0(0(2(0(1(2(1(2(z0)))))))))))))))), 1'(0(2(2(0(2(2(0(0(2(0(1(2(1(2(z0))))))))))))))), 0'(2(2(0(2(2(0(0(2(0(1(2(1(2(z0)))))))))))))), 2'(2(0(2(2(0(0(2(0(1(2(1(2(z0))))))))))))), 2'(0(2(2(0(0(2(0(1(2(1(2(z0)))))))))))), 0'(2(2(0(0(2(0(1(2(1(2(z0))))))))))), 2'(2(0(0(2(0(1(2(1(2(z0)))))))))), 2'(0(0(2(0(1(2(1(2(z0))))))))), 0'(0(2(0(1(2(1(2(z0)))))))), 0'(2(0(1(2(1(2(z0))))))), 2'(0(1(2(1(2(z0)))))), 0'(1(2(1(2(z0))))), 1'(2(1(2(z0)))), 2'(1(2(z0))), 1'(2(z0)), 2'(z0)) 0'(1(2(0(1(1(1(1(2(2(0(2(2(1(0(0(0(1(0(2(1(1(1(z0))))))))))))))))))))))) -> c10(0'(1(0(0(2(0(1(1(2(2(0(0(1(0(2(0(1(1(1(1(1(2(2(2(z0)))))))))))))))))))))))), 1'(0(0(2(0(1(1(2(2(0(0(1(0(2(0(1(1(1(1(1(2(2(2(z0))))))))))))))))))))))), 0'(0(2(0(1(1(2(2(0(0(1(0(2(0(1(1(1(1(1(2(2(2(z0)))))))))))))))))))))), 0'(2(0(1(1(2(2(0(0(1(0(2(0(1(1(1(1(1(2(2(2(z0))))))))))))))))))))), 2'(0(1(1(2(2(0(0(1(0(2(0(1(1(1(1(1(2(2(2(z0)))))))))))))))))))), 0'(1(1(2(2(0(0(1(0(2(0(1(1(1(1(1(2(2(2(z0))))))))))))))))))), 1'(1(2(2(0(0(1(0(2(0(1(1(1(1(1(2(2(2(z0)))))))))))))))))), 1'(2(2(0(0(1(0(2(0(1(1(1(1(1(2(2(2(z0))))))))))))))))), 2'(2(0(0(1(0(2(0(1(1(1(1(1(2(2(2(z0)))))))))))))))), 2'(0(0(1(0(2(0(1(1(1(1(1(2(2(2(z0))))))))))))))), 0'(0(1(0(2(0(1(1(1(1(1(2(2(2(z0)))))))))))))), 0'(1(0(2(0(1(1(1(1(1(2(2(2(z0))))))))))))), 1'(0(2(0(1(1(1(1(1(2(2(2(z0)))))))))))), 0'(2(0(1(1(1(1(1(2(2(2(z0))))))))))), 2'(0(1(1(1(1(1(2(2(2(z0)))))))))), 0'(1(1(1(1(1(2(2(2(z0))))))))), 1'(1(1(1(1(2(2(2(z0)))))))), 1'(1(1(1(2(2(2(z0))))))), 1'(1(1(2(2(2(z0)))))), 1'(1(2(2(2(z0))))), 1'(2(2(2(z0)))), 2'(2(2(z0))), 2'(2(z0)), 2'(z0)) 0'(0(0(2(2(0(2(1(1(0(0(2(2(1(2(0(1(0(1(0(1(1(0(0(z0)))))))))))))))))))))))) -> c11(0'(0(1(0(2(0(0(1(2(2(2(2(2(1(0(1(2(1(2(0(1(1(1(1(1(z0))))))))))))))))))))))))), 0'(1(0(2(0(0(1(2(2(2(2(2(1(0(1(2(1(2(0(1(1(1(1(1(z0)))))))))))))))))))))))), 1'(0(2(0(0(1(2(2(2(2(2(1(0(1(2(1(2(0(1(1(1(1(1(z0))))))))))))))))))))))), 0'(2(0(0(1(2(2(2(2(2(1(0(1(2(1(2(0(1(1(1(1(1(z0)))))))))))))))))))))), 2'(0(0(1(2(2(2(2(2(1(0(1(2(1(2(0(1(1(1(1(1(z0))))))))))))))))))))), 0'(0(1(2(2(2(2(2(1(0(1(2(1(2(0(1(1(1(1(1(z0)))))))))))))))))))), 0'(1(2(2(2(2(2(1(0(1(2(1(2(0(1(1(1(1(1(z0))))))))))))))))))), 1'(2(2(2(2(2(1(0(1(2(1(2(0(1(1(1(1(1(z0)))))))))))))))))), 2'(2(2(2(2(1(0(1(2(1(2(0(1(1(1(1(1(z0))))))))))))))))), 2'(2(2(2(1(0(1(2(1(2(0(1(1(1(1(1(z0)))))))))))))))), 2'(2(2(1(0(1(2(1(2(0(1(1(1(1(1(z0))))))))))))))), 2'(2(1(0(1(2(1(2(0(1(1(1(1(1(z0)))))))))))))), 2'(1(0(1(2(1(2(0(1(1(1(1(1(z0))))))))))))), 1'(0(1(2(1(2(0(1(1(1(1(1(z0)))))))))))), 0'(1(2(1(2(0(1(1(1(1(1(z0))))))))))), 1'(2(1(2(0(1(1(1(1(1(z0)))))))))), 2'(1(2(0(1(1(1(1(1(z0))))))))), 1'(2(0(1(1(1(1(1(z0)))))))), 2'(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)) 0'(1(0(0(2(2(0(1(0(1(2(1(2(2(2(1(0(1(2(1(0(1(1(1(2(0(2(1(z0)))))))))))))))))))))))))))) -> c12(0'(0(2(0(0(2(2(0(0(1(1(2(1(1(1(2(0(0(1(1(2(0(2(0(2(2(1(2(2(z0))))))))))))))))))))))))))))), 0'(2(0(0(2(2(0(0(1(1(2(1(1(1(2(0(0(1(1(2(0(2(0(2(2(1(2(2(z0)))))))))))))))))))))))))))), 2'(0(0(2(2(0(0(1(1(2(1(1(1(2(0(0(1(1(2(0(2(0(2(2(1(2(2(z0))))))))))))))))))))))))))), 0'(0(2(2(0(0(1(1(2(1(1(1(2(0(0(1(1(2(0(2(0(2(2(1(2(2(z0)))))))))))))))))))))))))), 0'(2(2(0(0(1(1(2(1(1(1(2(0(0(1(1(2(0(2(0(2(2(1(2(2(z0))))))))))))))))))))))))), 2'(2(0(0(1(1(2(1(1(1(2(0(0(1(1(2(0(2(0(2(2(1(2(2(z0)))))))))))))))))))))))), 2'(0(0(1(1(2(1(1(1(2(0(0(1(1(2(0(2(0(2(2(1(2(2(z0))))))))))))))))))))))), 0'(0(1(1(2(1(1(1(2(0(0(1(1(2(0(2(0(2(2(1(2(2(z0)))))))))))))))))))))), 0'(1(1(2(1(1(1(2(0(0(1(1(2(0(2(0(2(2(1(2(2(z0))))))))))))))))))))), 1'(1(2(1(1(1(2(0(0(1(1(2(0(2(0(2(2(1(2(2(z0)))))))))))))))))))), 1'(2(1(1(1(2(0(0(1(1(2(0(2(0(2(2(1(2(2(z0))))))))))))))))))), 2'(1(1(1(2(0(0(1(1(2(0(2(0(2(2(1(2(2(z0)))))))))))))))))), 1'(1(1(2(0(0(1(1(2(0(2(0(2(2(1(2(2(z0))))))))))))))))), 1'(1(2(0(0(1(1(2(0(2(0(2(2(1(2(2(z0)))))))))))))))), 1'(2(0(0(1(1(2(0(2(0(2(2(1(2(2(z0))))))))))))))), 2'(0(0(1(1(2(0(2(0(2(2(1(2(2(z0)))))))))))))), 0'(0(1(1(2(0(2(0(2(2(1(2(2(z0))))))))))))), 0'(1(1(2(0(2(0(2(2(1(2(2(z0)))))))))))), 1'(1(2(0(2(0(2(2(1(2(2(z0))))))))))), 1'(2(0(2(0(2(2(1(2(2(z0)))))))))), 2'(0(2(0(2(2(1(2(2(z0))))))))), 0'(2(0(2(2(1(2(2(z0)))))))), 2'(0(2(2(1(2(2(z0))))))), 0'(2(2(1(2(2(z0)))))), 2'(2(1(2(2(z0))))), 2'(1(2(2(z0)))), 1'(2(2(z0))), 2'(2(z0)), 2'(z0)) 0'(0(2(0(2(1(1(2(0(2(1(1(2(0(1(0(1(2(1(1(1(0(0(0(0(2(2(1(2(0(z0)))))))))))))))))))))))))))))) -> c13(0'(0(2(0(1(1(1(0(0(2(1(1(2(0(0(2(2(0(1(1(1(2(0(2(0(2(1(2(1(0(z0)))))))))))))))))))))))))))))), 0'(2(0(1(1(1(0(0(2(1(1(2(0(0(2(2(0(1(1(1(2(0(2(0(2(1(2(1(0(z0))))))))))))))))))))))))))))), 2'(0(1(1(1(0(0(2(1(1(2(0(0(2(2(0(1(1(1(2(0(2(0(2(1(2(1(0(z0)))))))))))))))))))))))))))), 0'(1(1(1(0(0(2(1(1(2(0(0(2(2(0(1(1(1(2(0(2(0(2(1(2(1(0(z0))))))))))))))))))))))))))), 1'(1(1(0(0(2(1(1(2(0(0(2(2(0(1(1(1(2(0(2(0(2(1(2(1(0(z0)))))))))))))))))))))))))), 1'(1(0(0(2(1(1(2(0(0(2(2(0(1(1(1(2(0(2(0(2(1(2(1(0(z0))))))))))))))))))))))))), 1'(0(0(2(1(1(2(0(0(2(2(0(1(1(1(2(0(2(0(2(1(2(1(0(z0)))))))))))))))))))))))), 0'(0(2(1(1(2(0(0(2(2(0(1(1(1(2(0(2(0(2(1(2(1(0(z0))))))))))))))))))))))), 0'(2(1(1(2(0(0(2(2(0(1(1(1(2(0(2(0(2(1(2(1(0(z0)))))))))))))))))))))), 2'(1(1(2(0(0(2(2(0(1(1(1(2(0(2(0(2(1(2(1(0(z0))))))))))))))))))))), 1'(1(2(0(0(2(2(0(1(1(1(2(0(2(0(2(1(2(1(0(z0)))))))))))))))))))), 1'(2(0(0(2(2(0(1(1(1(2(0(2(0(2(1(2(1(0(z0))))))))))))))))))), 2'(0(0(2(2(0(1(1(1(2(0(2(0(2(1(2(1(0(z0)))))))))))))))))), 0'(0(2(2(0(1(1(1(2(0(2(0(2(1(2(1(0(z0))))))))))))))))), 0'(2(2(0(1(1(1(2(0(2(0(2(1(2(1(0(z0)))))))))))))))), 2'(2(0(1(1(1(2(0(2(0(2(1(2(1(0(z0))))))))))))))), 2'(0(1(1(1(2(0(2(0(2(1(2(1(0(z0)))))))))))))), 0'(1(1(1(2(0(2(0(2(1(2(1(0(z0))))))))))))), 1'(1(1(2(0(2(0(2(1(2(1(0(z0)))))))))))), 1'(1(2(0(2(0(2(1(2(1(0(z0))))))))))), 1'(2(0(2(0(2(1(2(1(0(z0)))))))))), 2'(0(2(0(2(1(2(1(0(z0))))))))), 0'(2(0(2(1(2(1(0(z0)))))))), 2'(0(2(1(2(1(0(z0))))))), 0'(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'(1(0(1(0(2(1(1(0(1(2(0(0(1(2(2(0(2(0(2(1(2(1(2(2(0(2(2(1(2(z0)))))))))))))))))))))))))))))) -> c14(0'(2(2(1(0(0(0(2(2(1(0(2(0(2(0(1(2(0(1(2(0(1(2(0(2(0(1(2(1(2(1(z0))))))))))))))))))))))))))))))), 2'(2(1(0(0(0(2(2(1(0(2(0(2(0(1(2(0(1(2(0(1(2(0(2(0(1(2(1(2(1(z0)))))))))))))))))))))))))))))), 2'(1(0(0(0(2(2(1(0(2(0(2(0(1(2(0(1(2(0(1(2(0(2(0(1(2(1(2(1(z0))))))))))))))))))))))))))))), 1'(0(0(0(2(2(1(0(2(0(2(0(1(2(0(1(2(0(1(2(0(2(0(1(2(1(2(1(z0)))))))))))))))))))))))))))), 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1'(2(0(0(2(0(2(0(2(1(0(1(2(0(1(0(2(1(1(2(0(0(z0)))))))))))))))))))))), 2'(0(0(2(0(2(0(2(1(0(1(2(0(1(0(2(1(1(2(0(0(z0))))))))))))))))))))), 0'(0(2(0(2(0(2(1(0(1(2(0(1(0(2(1(1(2(0(0(z0)))))))))))))))))))), 0'(2(0(2(0(2(1(0(1(2(0(1(0(2(1(1(2(0(0(z0))))))))))))))))))), 2'(0(2(0(2(1(0(1(2(0(1(0(2(1(1(2(0(0(z0)))))))))))))))))), 0'(2(0(2(1(0(1(2(0(1(0(2(1(1(2(0(0(z0))))))))))))))))), 2'(0(2(1(0(1(2(0(1(0(2(1(1(2(0(0(z0)))))))))))))))), 0'(2(1(0(1(2(0(1(0(2(1(1(2(0(0(z0))))))))))))))), 2'(1(0(1(2(0(1(0(2(1(1(2(0(0(z0)))))))))))))), 1'(0(1(2(0(1(0(2(1(1(2(0(0(z0))))))))))))), 0'(1(2(0(1(0(2(1(1(2(0(0(z0)))))))))))), 1'(2(0(1(0(2(1(1(2(0(0(z0))))))))))), 2'(0(1(0(2(1(1(2(0(0(z0)))))))))), 0'(1(0(2(1(1(2(0(0(z0))))))))), 1'(0(2(1(1(2(0(0(z0)))))))), 0'(2(1(1(2(0(0(z0))))))), 2'(1(1(2(0(0(z0)))))), 1'(1(2(0(0(z0))))), 1'(2(0(0(z0)))), 0'(0(z0)), 0'(z0)) 2'(2(2(1(0(0(2(0(1(0(2(1(0(2(1(0(0(1(1(0(0(0(2(0(2(z0))))))))))))))))))))))))) -> c33(0'(0(2(0(2(z0))))), 2'(0(2(z0))), 0'(2(z0)), 2'(z0)) 1'(0(2(1(0(0(1(0(1(2(z0)))))))))) -> c62(1'(2(0(0(1(1(0(0(1(2(z0)))))))))), 2'(0(0(1(1(0(0(1(2(z0))))))))), 0'(0(1(1(0(0(1(2(z0)))))))), 0'(1(1(0(0(1(2(z0))))))), 1'(1(0(0(1(2(z0)))))), 1'(0(0(1(2(z0))))), 0'(1(2(z0))), 1'(2(z0)), 2'(z0)) 1'(1(0(1(1(1(1(0(1(0(0(2(1(1(2(0(0(1(1(0(2(0(0(0(z0)))))))))))))))))))))))) -> c66(2'(0(0(2(1(0(2(2(2(0(0(2(2(2(2(0(0(0(2(0(1(2(0(0(0(z0))))))))))))))))))))))))), 0'(0(2(1(0(2(2(2(0(0(2(2(2(2(0(0(0(2(0(1(2(0(0(0(z0)))))))))))))))))))))))), 0'(2(1(0(2(2(2(0(0(2(2(2(2(0(0(0(2(0(1(2(0(0(0(z0))))))))))))))))))))))), 2'(1(0(2(2(2(0(0(2(2(2(2(0(0(0(2(0(1(2(0(0(0(z0)))))))))))))))))))))), 1'(0(2(2(2(0(0(2(2(2(2(0(0(0(2(0(1(2(0(0(0(z0))))))))))))))))))))), 0'(2(2(2(0(0(2(2(2(2(0(0(0(2(0(1(2(0(0(0(z0)))))))))))))))))))), 2'(2(2(0(0(2(2(2(2(0(0(0(2(0(1(2(0(0(0(z0))))))))))))))))))), 2'(2(0(0(2(2(2(2(0(0(0(2(0(1(2(0(0(0(z0)))))))))))))))))), 2'(0(0(2(2(2(2(0(0(0(2(0(1(2(0(0(0(z0))))))))))))))))), 0'(0(2(2(2(2(0(0(0(2(0(1(2(0(0(0(z0)))))))))))))))), 0'(2(2(2(2(0(0(0(2(0(1(2(0(0(0(z0))))))))))))))), 2'(2(2(2(0(0(0(2(0(1(2(0(0(0(z0)))))))))))))), 2'(2(2(0(0(0(2(0(1(2(0(0(0(z0))))))))))))), 2'(2(0(0(0(2(0(1(2(0(0(0(z0)))))))))))), 2'(0(0(0(2(0(1(2(0(0(0(z0))))))))))), 0'(0(0(2(0(1(2(0(0(0(z0)))))))))), 0'(0(2(0(1(2(0(0(0(z0))))))))), 0'(2(0(1(2(0(0(0(z0)))))))), 2'(0(1(2(0(0(0(z0))))))), 0'(1(2(0(0(0(z0)))))), 1'(2(0(0(0(z0))))), 0'(0(0(z0))), 0'(0(z0)), 0'(z0)) 1'(2(1(1(0(2(2(0(1(2(2(0(2(0(0(1(1(0(1(2(2(2(0(2(2(0(0(0(0(1(1(0(1(0(0(0(1(2(1(2(2(2(0(0(z0)))))))))))))))))))))))))))))))))))))))))))) -> c80(2'(2(2(0(0(z0))))), 2'(2(0(0(z0)))), 0'(0(z0)), 0'(z0)) ENCODE_0(z0) -> c53(0'(encArg(z0))) ENCODE_1(z0) -> c53(1'(encArg(z0))) ENCODE_2(z0) -> c53(2'(encArg(z0))) ENCARG(cons_0(cons_0(z0))) -> c(0'(0(encArg(z0))), ENCARG(cons_0(z0))) ENCARG(cons_0(cons_2(z0))) -> c(0'(2(encArg(z0))), ENCARG(cons_2(z0))) ENCARG(cons_0(cons_1(z0))) -> c(0'(1(encArg(z0))), ENCARG(cons_1(z0))) ENCARG(cons_2(cons_0(z0))) -> c1(2'(0(encArg(z0))), ENCARG(cons_0(z0))) ENCARG(cons_2(cons_2(z0))) -> c1(2'(2(encArg(z0))), ENCARG(cons_2(z0))) ENCARG(cons_2(cons_1(z0))) -> c1(2'(1(encArg(z0))), ENCARG(cons_1(z0))) S tuples: 0'(0(1(1(0(0(0(1(z0)))))))) -> c6(0'(2(0(1(0(1(1(1(1(z0))))))))), 2'(0(1(0(1(1(1(1(z0)))))))), 0'(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)) 0'(1(2(1(1(1(0(2(0(2(z0)))))))))) -> c7(0'(2(0(2(0(2(0(2(0(1(2(z0))))))))))), 2'(0(2(0(2(0(2(0(1(2(z0)))))))))), 0'(2(0(2(0(2(0(1(2(z0))))))))), 2'(0(2(0(2(0(1(2(z0)))))))), 0'(2(0(2(0(1(2(z0))))))), 2'(0(2(0(1(2(z0)))))), 0'(2(0(1(2(z0))))), 2'(0(1(2(z0)))), 0'(1(2(z0))), 1'(2(z0)), 2'(z0)) 0'(1(0(1(2(0(0(1(0(0(1(2(1(0(1(0(z0)))))))))))))))) -> c8(0'(1(1(1(1(2(0(2(1(0(0(0(1(0(0(0(z0)))))))))))))))), 1'(1(1(1(2(0(2(1(0(0(0(1(0(0(0(z0))))))))))))))), 1'(1(1(2(0(2(1(0(0(0(1(0(0(0(z0)))))))))))))), 1'(1(2(0(2(1(0(0(0(1(0(0(0(z0))))))))))))), 1'(2(0(2(1(0(0(0(1(0(0(0(z0)))))))))))), 2'(0(2(1(0(0(0(1(0(0(0(z0))))))))))), 0'(2(1(0(0(0(1(0(0(0(z0)))))))))), 2'(1(0(0(0(1(0(0(0(z0))))))))), 1'(0(0(0(1(0(0(0(z0)))))))), 0'(0(0(1(0(0(0(z0))))))), 0'(0(1(0(0(0(z0)))))), 0'(1(0(0(0(z0))))), 1'(0(0(0(z0)))), 0'(0(0(z0))), 0'(0(z0)), 0'(z0)) 0'(1(0(1(1(0(1(2(2(1(1(1(0(2(1(1(1(z0))))))))))))))))) -> c9(0'(2(1(1(0(2(2(0(2(2(0(0(2(0(1(2(1(2(z0)))))))))))))))))), 2'(1(1(0(2(2(0(2(2(0(0(2(0(1(2(1(2(z0))))))))))))))))), 1'(1(0(2(2(0(2(2(0(0(2(0(1(2(1(2(z0)))))))))))))))), 1'(0(2(2(0(2(2(0(0(2(0(1(2(1(2(z0))))))))))))))), 0'(2(2(0(2(2(0(0(2(0(1(2(1(2(z0)))))))))))))), 2'(2(0(2(2(0(0(2(0(1(2(1(2(z0))))))))))))), 2'(0(2(2(0(0(2(0(1(2(1(2(z0)))))))))))), 0'(2(2(0(0(2(0(1(2(1(2(z0))))))))))), 2'(2(0(0(2(0(1(2(1(2(z0)))))))))), 2'(0(0(2(0(1(2(1(2(z0))))))))), 0'(0(2(0(1(2(1(2(z0)))))))), 0'(2(0(1(2(1(2(z0))))))), 2'(0(1(2(1(2(z0)))))), 0'(1(2(1(2(z0))))), 1'(2(1(2(z0)))), 2'(1(2(z0))), 1'(2(z0)), 2'(z0)) 0'(1(2(0(1(1(1(1(2(2(0(2(2(1(0(0(0(1(0(2(1(1(1(z0))))))))))))))))))))))) -> c10(0'(1(0(0(2(0(1(1(2(2(0(0(1(0(2(0(1(1(1(1(1(2(2(2(z0)))))))))))))))))))))))), 1'(0(0(2(0(1(1(2(2(0(0(1(0(2(0(1(1(1(1(1(2(2(2(z0))))))))))))))))))))))), 0'(0(2(0(1(1(2(2(0(0(1(0(2(0(1(1(1(1(1(2(2(2(z0)))))))))))))))))))))), 0'(2(0(1(1(2(2(0(0(1(0(2(0(1(1(1(1(1(2(2(2(z0))))))))))))))))))))), 2'(0(1(1(2(2(0(0(1(0(2(0(1(1(1(1(1(2(2(2(z0)))))))))))))))))))), 0'(1(1(2(2(0(0(1(0(2(0(1(1(1(1(1(2(2(2(z0))))))))))))))))))), 1'(1(2(2(0(0(1(0(2(0(1(1(1(1(1(2(2(2(z0)))))))))))))))))), 1'(2(2(0(0(1(0(2(0(1(1(1(1(1(2(2(2(z0))))))))))))))))), 2'(2(0(0(1(0(2(0(1(1(1(1(1(2(2(2(z0)))))))))))))))), 2'(0(0(1(0(2(0(1(1(1(1(1(2(2(2(z0))))))))))))))), 0'(0(1(0(2(0(1(1(1(1(1(2(2(2(z0)))))))))))))), 0'(1(0(2(0(1(1(1(1(1(2(2(2(z0))))))))))))), 1'(0(2(0(1(1(1(1(1(2(2(2(z0)))))))))))), 0'(2(0(1(1(1(1(1(2(2(2(z0))))))))))), 2'(0(1(1(1(1(1(2(2(2(z0)))))))))), 0'(1(1(1(1(1(2(2(2(z0))))))))), 1'(1(1(1(1(2(2(2(z0)))))))), 1'(1(1(1(2(2(2(z0))))))), 1'(1(1(2(2(2(z0)))))), 1'(1(2(2(2(z0))))), 1'(2(2(2(z0)))), 2'(2(2(z0))), 2'(2(z0)), 2'(z0)) 0'(0(0(2(2(0(2(1(1(0(0(2(2(1(2(0(1(0(1(0(1(1(0(0(z0)))))))))))))))))))))))) -> c11(0'(0(1(0(2(0(0(1(2(2(2(2(2(1(0(1(2(1(2(0(1(1(1(1(1(z0))))))))))))))))))))))))), 0'(1(0(2(0(0(1(2(2(2(2(2(1(0(1(2(1(2(0(1(1(1(1(1(z0)))))))))))))))))))))))), 1'(0(2(0(0(1(2(2(2(2(2(1(0(1(2(1(2(0(1(1(1(1(1(z0))))))))))))))))))))))), 0'(2(0(0(1(2(2(2(2(2(1(0(1(2(1(2(0(1(1(1(1(1(z0)))))))))))))))))))))), 2'(0(0(1(2(2(2(2(2(1(0(1(2(1(2(0(1(1(1(1(1(z0))))))))))))))))))))), 0'(0(1(2(2(2(2(2(1(0(1(2(1(2(0(1(1(1(1(1(z0)))))))))))))))))))), 0'(1(2(2(2(2(2(1(0(1(2(1(2(0(1(1(1(1(1(z0))))))))))))))))))), 1'(2(2(2(2(2(1(0(1(2(1(2(0(1(1(1(1(1(z0)))))))))))))))))), 2'(2(2(2(2(1(0(1(2(1(2(0(1(1(1(1(1(z0))))))))))))))))), 2'(2(2(2(1(0(1(2(1(2(0(1(1(1(1(1(z0)))))))))))))))), 2'(2(2(1(0(1(2(1(2(0(1(1(1(1(1(z0))))))))))))))), 2'(2(1(0(1(2(1(2(0(1(1(1(1(1(z0)))))))))))))), 2'(1(0(1(2(1(2(0(1(1(1(1(1(z0))))))))))))), 1'(0(1(2(1(2(0(1(1(1(1(1(z0)))))))))))), 0'(1(2(1(2(0(1(1(1(1(1(z0))))))))))), 1'(2(1(2(0(1(1(1(1(1(z0)))))))))), 2'(1(2(0(1(1(1(1(1(z0))))))))), 1'(2(0(1(1(1(1(1(z0)))))))), 2'(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)) 0'(1(0(0(2(2(0(1(0(1(2(1(2(2(2(1(0(1(2(1(0(1(1(1(2(0(2(1(z0)))))))))))))))))))))))))))) -> c12(0'(0(2(0(0(2(2(0(0(1(1(2(1(1(1(2(0(0(1(1(2(0(2(0(2(2(1(2(2(z0))))))))))))))))))))))))))))), 0'(2(0(0(2(2(0(0(1(1(2(1(1(1(2(0(0(1(1(2(0(2(0(2(2(1(2(2(z0)))))))))))))))))))))))))))), 2'(0(0(2(2(0(0(1(1(2(1(1(1(2(0(0(1(1(2(0(2(0(2(2(1(2(2(z0))))))))))))))))))))))))))), 0'(0(2(2(0(0(1(1(2(1(1(1(2(0(0(1(1(2(0(2(0(2(2(1(2(2(z0)))))))))))))))))))))))))), 0'(2(2(0(0(1(1(2(1(1(1(2(0(0(1(1(2(0(2(0(2(2(1(2(2(z0))))))))))))))))))))))))), 2'(2(0(0(1(1(2(1(1(1(2(0(0(1(1(2(0(2(0(2(2(1(2(2(z0)))))))))))))))))))))))), 2'(0(0(1(1(2(1(1(1(2(0(0(1(1(2(0(2(0(2(2(1(2(2(z0))))))))))))))))))))))), 0'(0(1(1(2(1(1(1(2(0(0(1(1(2(0(2(0(2(2(1(2(2(z0)))))))))))))))))))))), 0'(1(1(2(1(1(1(2(0(0(1(1(2(0(2(0(2(2(1(2(2(z0))))))))))))))))))))), 1'(1(2(1(1(1(2(0(0(1(1(2(0(2(0(2(2(1(2(2(z0)))))))))))))))))))), 1'(2(1(1(1(2(0(0(1(1(2(0(2(0(2(2(1(2(2(z0))))))))))))))))))), 2'(1(1(1(2(0(0(1(1(2(0(2(0(2(2(1(2(2(z0)))))))))))))))))), 1'(1(1(2(0(0(1(1(2(0(2(0(2(2(1(2(2(z0))))))))))))))))), 1'(1(2(0(0(1(1(2(0(2(0(2(2(1(2(2(z0)))))))))))))))), 1'(2(0(0(1(1(2(0(2(0(2(2(1(2(2(z0))))))))))))))), 2'(0(0(1(1(2(0(2(0(2(2(1(2(2(z0)))))))))))))), 0'(0(1(1(2(0(2(0(2(2(1(2(2(z0))))))))))))), 0'(1(1(2(0(2(0(2(2(1(2(2(z0)))))))))))), 1'(1(2(0(2(0(2(2(1(2(2(z0))))))))))), 1'(2(0(2(0(2(2(1(2(2(z0)))))))))), 2'(0(2(0(2(2(1(2(2(z0))))))))), 0'(2(0(2(2(1(2(2(z0)))))))), 2'(0(2(2(1(2(2(z0))))))), 0'(2(2(1(2(2(z0)))))), 2'(2(1(2(2(z0))))), 2'(1(2(2(z0)))), 1'(2(2(z0))), 2'(2(z0)), 2'(z0)) 0'(0(2(0(2(1(1(2(0(2(1(1(2(0(1(0(1(2(1(1(1(0(0(0(0(2(2(1(2(0(z0)))))))))))))))))))))))))))))) -> c13(0'(0(2(0(1(1(1(0(0(2(1(1(2(0(0(2(2(0(1(1(1(2(0(2(0(2(1(2(1(0(z0)))))))))))))))))))))))))))))), 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1'(2(0(0(2(0(2(0(2(1(0(1(2(0(1(0(2(1(1(2(0(0(z0)))))))))))))))))))))), 2'(0(0(2(0(2(0(2(1(0(1(2(0(1(0(2(1(1(2(0(0(z0))))))))))))))))))))), 0'(0(2(0(2(0(2(1(0(1(2(0(1(0(2(1(1(2(0(0(z0)))))))))))))))))))), 0'(2(0(2(0(2(1(0(1(2(0(1(0(2(1(1(2(0(0(z0))))))))))))))))))), 2'(0(2(0(2(1(0(1(2(0(1(0(2(1(1(2(0(0(z0)))))))))))))))))), 0'(2(0(2(1(0(1(2(0(1(0(2(1(1(2(0(0(z0))))))))))))))))), 2'(0(2(1(0(1(2(0(1(0(2(1(1(2(0(0(z0)))))))))))))))), 0'(2(1(0(1(2(0(1(0(2(1(1(2(0(0(z0))))))))))))))), 2'(1(0(1(2(0(1(0(2(1(1(2(0(0(z0)))))))))))))), 1'(0(1(2(0(1(0(2(1(1(2(0(0(z0))))))))))))), 0'(1(2(0(1(0(2(1(1(2(0(0(z0)))))))))))), 1'(2(0(1(0(2(1(1(2(0(0(z0))))))))))), 2'(0(1(0(2(1(1(2(0(0(z0)))))))))), 0'(1(0(2(1(1(2(0(0(z0))))))))), 1'(0(2(1(1(2(0(0(z0)))))))), 0'(2(1(1(2(0(0(z0))))))), 2'(1(1(2(0(0(z0)))))), 1'(1(2(0(0(z0))))), 1'(2(0(0(z0)))), 0'(0(z0)), 0'(z0)) 2'(2(2(1(0(0(2(0(1(0(2(1(0(2(1(0(0(1(1(0(0(0(2(0(2(z0))))))))))))))))))))))))) -> c33(0'(0(2(0(2(z0))))), 2'(0(2(z0))), 0'(2(z0)), 2'(z0)) 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