/export/starexec/sandbox2/solver/bin/starexec_run_rcdcRelativeAlsoLower /export/starexec/sandbox2/benchmark/theBenchmark.xml /export/starexec/sandbox2/output/output_files -------------------------------------------------------------------------------- KILLED proof of /export/starexec/sandbox2/benchmark/theBenchmark.xml # AProVE Commit ID: 794c25de1cacf0d048858bcd21c9a779e1221865 marcel 20200619 unpublished dirty The Derivational Complexity (full) of the given DCpxTrs could be proven to be BOUNDS(1, INF). (0) DCpxTrs (1) DerivationalComplexityToRuntimeComplexityProof [BOTH BOUNDS(ID, ID), 0 ms] (2) CpxRelTRS (3) SInnermostTerminationProof [BOTH CONCRETE BOUNDS(ID, ID), 55 ms] (4) CpxRelTRS (5) RelTrsToDecreasingLoopProblemProof [LOWER BOUND(ID), 0 ms] (6) TRS for Loop Detection (7) RenamingProof [BOTH BOUNDS(ID, ID), 0 ms] (8) CpxRelTRS (9) TypeInferenceProof [BOTH BOUNDS(ID, ID), 0 ms] (10) typed CpxTrs (11) OrderProof [LOWER BOUND(ID), 0 ms] (12) typed CpxTrs (13) RelTrsToTrsProof [UPPER BOUND(ID), 0 ms] (14) CpxTRS (15) NonCtorToCtorProof [UPPER BOUND(ID), 0 ms] (16) CpxRelTRS (17) RcToIrcProof [BOTH BOUNDS(ID, ID), 5593 ms] (18) CpxRelTRS (19) RelTrsToWeightedTrsProof [BOTH BOUNDS(ID, ID), 0 ms] (20) CpxWeightedTrs (21) CpxWeightedTrsRenamingProof [BOTH BOUNDS(ID, ID), 0 ms] (22) CpxWeightedTrs (23) TypeInferenceProof [BOTH BOUNDS(ID, ID), 4 ms] (24) CpxTypedWeightedTrs (25) CompletionProof [UPPER BOUND(ID), 0 ms] (26) CpxTypedWeightedCompleteTrs (27) NarrowingProof [BOTH BOUNDS(ID, ID), 370 ms] (28) CpxTypedWeightedCompleteTrs (29) CpxTypedWeightedTrsToRntsProof [UPPER BOUND(ID), 74 ms] (30) CpxRNTS (31) SimplificationProof [BOTH BOUNDS(ID, ID), 85 ms] (32) CpxRNTS (33) CompletionProof [UPPER BOUND(ID), 0 ms] (34) CpxTypedWeightedCompleteTrs (35) CpxTypedWeightedTrsToRntsProof [UPPER BOUND(ID), 7 ms] (36) CpxRNTS (37) CpxTrsToCdtProof [UPPER BOUND(ID), 4695 ms] (38) CdtProblem (39) CdtLeafRemovalProof [BOTH BOUNDS(ID, ID), 0 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), 28.8 s] (46) CdtProblem (47) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 9143 ms] (48) CdtProblem (49) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 9249 ms] (50) CdtProblem ---------------------------------------- (0) Obligation: The Derivational Complexity (full) of the given DCpxTrs could be proven to be BOUNDS(1, INF). The TRS R consists of the following rules: 0(0(0(0(0(1(0(0(1(1(0(1(0(0(0(0(1(1(1(0(0(1(1(1(0(1(1(0(0(0(0(1(0(0(1(1(0(0(1(1(0(0(0(1(1(0(0(1(0(1(1(0(0(0(0(1(0(0(1(0(0(1(1(1(1(0(0(1(0(0(1(1(0(1(0(1(1(1(1(1(0(x1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> 0(0(0(0(0(1(0(0(1(1(0(1(0(0(0(0(1(1(1(0(0(1(1(1(0(1(1(0(0(0(0(1(0(0(1(1(0(0(1(1(0(0(0(1(1(0(0(1(0(1(1(0(0(0(0(1(0(0(1(0(0(1(1(1(1(0(0(0(0(1(1(0(1(1(0(0(0(0(0(0(1(0(1(1(x1)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) 0(0(1(0(1(1(0(0(0(1(1(1(0(0(1(1(1(0(1(0(0(1(0(0(1(1(0(0(1(1(1(1(0(1(1(1(0(1(0(0(1(0(0(0(1(1(1(1(1(0(1(0(0(0(0(0(0(1(1(1(0(1(0(0(0(0(0(1(0(1(1(1(1(1(0(0(1(0(0(1(0(x1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> 0(0(1(0(1(1(0(0(0(1(1(1(0(0(1(1(1(0(1(0(0(1(0(0(1(1(0(0(1(1(1(1(0(1(1(1(0(1(0(0(1(0(0(0(1(1(1(1(1(0(1(0(0(0(0(0(0(1(1(1(0(1(0(0(0(0(0(1(0(1(1(1(1(1(0(0(1(1(0(0(0(0(x1)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) 0(0(1(0(1(1(0(0(0(1(1(1(0(0(1(1(1(0(1(0(0(1(0(0(1(1(0(0(1(1(1(1(0(1(1(1(0(1(0(0(1(0(0(0(1(1(1(1(1(0(1(0(0(0(0(0(0(1(1(1(0(1(0(0(0(0(0(1(0(1(1(1(1(1(0(0(1(0(0(1(0(x1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> 0(0(0(0(0(1(0(0(1(1(0(1(0(0(0(0(1(1(1(0(0(1(1(1(0(1(1(0(0(0(0(1(0(0(1(1(0(0(1(1(0(0(0(1(1(0(0(1(0(1(0(1(1(1(1(0(0(1(1(1(1(0(0(0(1(1(1(0(0(1(1(0(0(1(0(0(0(0(1(0(0(0(1(x1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) 0(0(1(0(1(1(0(0(0(1(1(1(0(0(1(1(1(0(1(0(0(1(0(0(1(1(0(0(1(1(1(1(0(1(1(1(0(1(0(0(1(0(0(0(1(1(1(1(1(0(1(0(0(0(0(0(0(1(1(1(0(1(0(0(0(0(0(1(0(1(1(1(1(1(0(0(1(0(0(1(1(x1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> 0(0(0(0(0(1(0(0(1(1(0(1(0(0(0(0(1(1(1(0(0(1(1(1(0(1(1(0(0(0(0(1(0(0(1(1(0(0(1(1(0(0(0(1(1(0(0(1(0(1(0(1(1(1(1(0(0(1(1(1(1(0(0(0(0(0(0(0(0(1(1(1(0(0(1(1(1(0(1(1(1(0(x1)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) 0(0(1(0(1(1(0(0(0(1(1(1(0(0(1(1(1(0(1(0(0(1(0(0(1(1(0(0(1(1(1(1(0(1(1(1(0(1(0(0(1(0(0(0(1(1(1(1(1(0(1(0(0(0(0(0(0(1(1(1(0(1(0(0(0(0(0(1(0(1(1(1(1(1(0(0(1(0(0(1(1(x1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> 0(0(0(0(0(1(0(0(1(1(0(1(0(0(0(0(1(1(1(0(0(1(1(1(0(1(1(0(0(0(0(1(0(0(1(1(0(0(1(1(0(0(0(1(1(0(0(1(0(1(1(0(0(0(0(1(0(0(1(0(0(1(1(1(1(0(0(1(0(1(1(0(1(1(0(1(0(1(1(0(0(0(x1)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) 0(0(1(0(1(1(0(0(0(1(1(1(0(0(1(1(1(0(1(0(0(1(0(0(1(1(0(0(1(1(1(1(0(1(1(1(0(1(0(0(1(0(0(0(1(1(1(1(1(0(1(0(0(0(0(0(0(1(1(1(0(1(0(0(0(0(0(1(0(1(1(1(1(1(0(0(1(0(0(1(1(x1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> 0(0(0(0(0(1(0(0(1(1(0(1(0(0(0(0(1(1(1(0(0(1(1(1(0(1(1(0(0(0(0(1(0(0(1(1(0(0(1(1(0(0(0(1(1(0(0(1(0(1(0(1(1(1(1(0(0(1(1(1(1(0(0(0(0(0(0(0(0(1(1(1(1(1(1(0(1(0(0(0(0(0(1(1(x1)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) 0(0(1(0(1(1(0(0(0(1(1(1(0(0(1(1(1(0(1(0(0(1(0(0(1(1(0(0(1(1(1(1(0(1(1(1(0(1(0(0(1(1(1(0(0(1(0(0(0(0(1(1(1(1(1(1(1(1(1(1(0(0(1(0(0(1(0(0(1(1(0(1(0(0(1(1(1(1(0(1(0(x1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> 0(0(0(0(0(1(0(0(1(1(0(1(0(0(0(0(1(1(1(0(0(1(1(1(0(1(1(0(0(0(0(1(0(0(1(1(0(0(1(1(0(0(0(1(1(0(0(1(0(1(0(1(1(1(1(0(0(1(1(1(1(0(0(0(0(0(0(0(0(1(1(1(1(1(1(0(1(0(0(0(1(0(x1)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) 0(0(1(0(1(1(0(0(0(1(1(1(0(0(1(1(1(0(1(0(0(1(0(0(1(1(0(0(1(1(1(1(0(1(1(1(0(1(0(0(1(1(1(0(0(1(0(0(0(0(1(1(1(1(1(1(1(1(1(1(0(0(1(0(0(1(0(0(1(1(0(1(0(0(1(1(1(1(0(1(0(x1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> 0(0(0(0(0(1(0(0(1(1(0(1(0(0(0(0(1(1(1(0(0(1(1(1(0(1(1(0(0(0(0(1(0(0(1(1(0(0(1(1(0(0(0(1(1(0(0(1(0(1(1(0(0(0(0(1(0(0(1(0(0(1(1(1(1(0(0(1(1(0(0(1(0(0(1(1(1(1(0(0(1(0(x1)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) 0(0(1(0(1(1(0(0(0(1(1(1(0(0(1(1(1(0(1(0(0(1(0(0(1(1(0(0(1(1(1(1(0(1(1(1(0(1(0(0(1(1(1(0(0(1(0(0(0(1(0(1(1(1(0(1(0(1(1(0(1(1(1(1(0(0(0(0(0(0(0(0(0(1(0(0(0(0(1(0(0(x1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> 0(0(0(0(0(1(0(0(1(1(0(1(0(0(0(0(1(1(1(0(0(1(1(1(0(1(1(0(0(0(0(1(0(0(1(1(0(0(1(1(0(0(0(1(1(0(0(1(0(1(0(1(1(1(1(0(0(1(1(1(1(0(0(0(0(0(0(0(0(1(1(1(1(0(0(0(1(0(1(1(0(0(1(x1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) 0(0(1(0(1(1(0(0(0(1(1(1(0(0(1(1(1(0(1(0(0(1(0(0(1(1(0(0(1(1(1(1(0(1(1(1(0(1(0(0(1(1(1(0(0(1(0(0(0(1(0(1(1(1(1(1(0(1(0(0(0(0(0(1(1(1(1(0(1(1(1(1(0(0(1(1(0(1(1(0(0(x1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> 1(0(0(0(1(0(1(0(0(1(0(1(0(0(0(1(0(0(1(1(1(0(0(1(1(0(0(1(0(0(0(0(1(1(0(0(1(1(0(1(0(0(0(0(0(0(1(1(1(1(1(1(0(0(0(0(0(1(1(1(1(1(1(1(0(1(1(1(0(1(1(0(1(0(0(1(0(0(1(1(0(0(x1)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) 0(0(1(0(1(1(0(0(0(1(1(1(0(0(1(1(1(0(1(0(0(1(0(0(1(1(0(0(1(1(1(1(0(1(1(1(0(1(0(0(1(1(1(0(0(1(0(0(0(1(0(1(1(1(1(1(0(1(0(0(0(0(0(1(1(1(1(0(1(1(1(1(0(0(1(1(1(0(1(0(0(x1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> 0(0(0(0(0(1(0(0(1(1(0(1(0(0(0(0(1(1(1(0(0(1(1(1(0(1(1(0(0(0(0(1(0(0(1(1(0(0(1(1(0(0(0(1(1(0(0(1(0(1(1(0(0(0(0(1(0(0(1(0(0(1(1(1(1(0(0(1(1(0(0(1(0(0(1(1(1(1(0(0(0(0(x1)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) 0(0(1(0(1(1(0(0(0(1(1(1(0(0(1(1(1(0(1(0(0(1(0(0(1(1(0(0(1(1(1(1(0(1(1(1(0(1(0(0(1(1(1(0(0(1(0(0(0(1(0(1(1(1(1(1(0(1(0(0(0(0(0(1(1(1(1(0(1(1(1(1(0(0(1(1(1(0(1(0(1(x1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> 0(0(0(0(0(1(0(0(1(1(0(1(0(0(0(0(1(1(1(0(0(1(1(1(0(1(1(0(0(0(0(1(0(0(1(1(0(0(1(1(0(0(0(1(1(0(0(1(0(1(0(1(1(1(1(0(0(1(1(1(1(0(0(0(0(0(0(0(0(1(1(1(0(0(1(1(1(0(1(1(1(0(x1)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) 0(0(1(0(1(1(0(0(0(1(1(1(0(0(1(1(1(0(1(0(0(1(0(0(1(1(0(0(1(1(1(1(0(1(1(1(0(1(0(0(1(1(1(0(0(1(0(0(0(1(0(1(1(1(1(1(0(1(0(0(0(0(0(1(1(1(1(0(1(1(1(1(0(0(1(1(1(0(1(1(0(x1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> 0(0(0(0(0(1(0(0(1(1(0(1(0(0(0(0(1(1(1(0(0(1(1(1(0(1(1(0(0(0(0(1(0(0(1(1(0(0(1(1(0(0(0(1(1(0(0(1(0(1(1(0(0(0(0(1(0(0(1(0(0(1(1(1(1(0(0(1(1(0(0(1(0(0(1(1(1(1(0(0(0(0(1(1(1(x1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) 0(0(1(0(1(1(0(0(0(1(1(1(0(0(1(1(1(0(1(0(0(1(0(0(1(1(0(0(1(1(1(1(0(1(1(1(0(1(0(0(1(1(1(0(0(1(0(0(0(1(0(1(1(1(1(1(0(1(0(0(0(0(0(1(1(1(1(0(1(1(1(1(0(0(1(1(1(1(0(1(0(x1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> 0(0(0(0(0(1(0(0(1(1(0(1(0(0(0(0(1(1(1(0(0(1(1(1(0(1(1(0(0(0(0(1(0(0(1(1(0(0(1(1(0(0(0(1(1(0(0(1(0(1(0(1(1(1(1(0(0(1(1(1(1(0(0(0(0(0(0(0(0(1(1(1(1(1(1(0(1(0(0(0(1(0(1(1(1(1(x1)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) 0(0(1(0(1(1(0(0(0(1(1(1(0(0(1(1(1(0(1(0(0(1(0(0(1(1(0(0(1(1(1(1(0(1(1(1(0(1(0(0(1(1(1(0(0(1(0(0(0(1(0(1(1(1(1(1(0(1(0(0(0(0(0(1(1(1(1(0(1(1(1(1(0(0(1(1(1(1(0(1(1(x1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> 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-> 0(0(0(0(0(1(0(0(1(1(0(1(0(0(0(0(1(1(1(0(0(1(1(1(0(1(1(0(0(0(0(1(0(0(1(1(0(0(1(1(0(0(0(1(1(0(0(1(0(1(1(0(0(0(0(1(0(0(1(0(0(1(1(1(1(0(0(1(1(0(0(1(0(0(1(1(1(1(0(0(0(0(x1)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) 0(0(1(0(1(1(0(0(0(1(1(1(0(0(1(1(1(0(1(0(0(1(0(0(1(1(0(0(1(1(1(1(0(1(1(1(0(1(0(0(1(1(1(0(0(1(0(0(0(1(0(1(1(1(1(1(0(1(0(0(0(0(0(1(1(1(1(0(1(1(1(1(0(1(1(0(0(0(1(1(1(x1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> 0(0(0(0(0(1(0(0(1(1(0(1(0(0(0(0(1(1(1(0(0(1(1(1(0(1(1(0(0(0(0(1(0(0(1(1(0(0(1(1(0(0(0(1(1(0(0(1(0(1(1(0(0(0(0(1(0(0(1(0(0(1(1(1(1(0(0(1(1(0(0(1(0(0(1(1(1(1(0(0(0(0(1(1(1(x1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) 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-> 1(0(0(0(1(0(1(0(0(1(0(1(0(0(0(1(0(0(1(1(1(0(0(1(1(0(0(1(0(0(0(0(1(1(0(0(1(1(0(1(0(0(0(0(0(0(1(1(1(1(1(1(0(0(0(0(0(1(1(1(1(1(1(1(0(1(1(1(0(1(1(0(0(1(1(0(0(0(0(0(0(0(x1)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) 1(0(0(0(1(0(1(0(0(1(0(1(0(0(0(1(0(0(1(1(1(0(0(1(1(0(0(1(0(0(0(0(1(1(0(0(0(1(0(1(1(1(0(1(0(0(0(0(0(1(0(1(1(1(0(1(1(1(1(0(1(0(1(1(0(0(0(0(1(0(1(1(1(0(1(1(1(1(0(0(0(x1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> 0(0(0(0(0(1(0(0(1(1(0(1(0(0(0(0(1(1(1(0(0(1(1(1(0(1(1(0(0(0(0(1(0(0(1(1(0(0(1(1(0(0(0(1(1(0(0(1(0(1(0(1(1(1(1(0(0(0(1(0(0(1(1(1(0(1(0(0(1(0(0(0(0(1(0(0(0(0(0(0(0(0(x1)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) 1(0(0(0(1(0(1(0(0(1(0(1(0(0(0(1(0(0(1(1(1(0(0(1(1(0(0(1(0(0(0(0(1(1(0(0(1(1(0(1(0(0(0(0(0(0(1(1(1(1(1(1(0(0(0(0(0(1(1(1(1(1(1(1(0(1(1(1(0(1(1(0(1(0(1(1(1(0(1(1(1(x1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> 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Rewrite Strategy: FULL ---------------------------------------- (1) DerivationalComplexityToRuntimeComplexityProof (BOTH BOUNDS(ID, ID)) The following rules have been added to S to convert the given derivational complexity problem to a runtime complexity problem: encArg(cons_0(x_1)) -> 0(encArg(x_1)) encArg(cons_1(x_1)) -> 1(encArg(x_1)) encode_0(x_1) -> 0(encArg(x_1)) encode_1(x_1) -> 1(encArg(x_1)) ---------------------------------------- (2) Obligation: The Runtime Complexity (full) of the given CpxRelTRS could be proven to be BOUNDS(1, INF). 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-> 1(0(0(0(1(0(1(0(0(1(0(1(0(0(0(1(0(0(1(1(1(0(0(1(1(0(0(1(0(0(0(0(1(1(0(0(1(1(0(1(0(0(0(0(0(0(1(1(1(1(1(1(0(0(0(0(0(1(1(1(1(1(1(1(0(1(1(1(0(1(1(0(0(1(1(0(0(0(0(0(0(0(x1)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) 1(0(0(0(1(0(1(0(0(1(0(1(0(0(0(1(0(0(1(1(1(0(0(1(1(0(0(1(0(0(0(0(1(1(0(0(0(1(0(1(1(1(0(1(0(0(0(0(0(1(0(1(1(1(0(1(1(1(1(0(1(0(1(1(0(0(0(0(1(0(1(1(1(0(1(1(1(1(0(0(0(x1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> 0(0(0(0(0(1(0(0(1(1(0(1(0(0(0(0(1(1(1(0(0(1(1(1(0(1(1(0(0(0(0(1(0(0(1(1(0(0(1(1(0(0(0(1(1(0(0(1(0(1(0(1(1(1(1(0(0(0(1(0(0(1(1(1(0(1(0(0(1(0(0(0(0(1(0(0(0(0(0(0(0(0(x1)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) 1(0(0(0(1(0(1(0(0(1(0(1(0(0(0(1(0(0(1(1(1(0(0(1(1(0(0(1(0(0(0(0(1(1(0(0(1(1(0(1(0(0(0(0(0(0(1(1(1(1(1(1(0(0(0(0(0(1(1(1(1(1(1(1(0(1(1(1(0(1(1(0(1(0(1(1(1(0(1(1(1(x1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> 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1(1(0(1(1(0(0(1(0(1(1(1(1(0(0(0(0(0(1(1(0(0(1(0(0(1(1(0(0(0(1(0(0(0(0(1(0(0(1(0(1(1(0(1(0(0(0(0(1(1(1(1(1(1(1(0(0(1(1(1(1(1(1(1(0(1(0(1(1(1(1(1(0(0(0(1(0(1(0(1(0(0(x1)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) 1(0(0(1(1(1(1(0(1(0(1(0(1(0(1(0(1(1(0(1(1(1(1(0(1(0(1(0(1(1(1(1(0(0(1(1(0(0(0(0(0(0(1(1(1(0(0(1(1(0(0(1(1(0(0(1(1(1(0(1(1(0(1(1(0(0(1(1(1(0(0(0(1(1(0(0(1(1(0(0(0(x1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> 1(0(0(0(1(0(1(0(0(1(0(1(0(0(0(1(0(0(1(1(1(0(0(1(1(0(0(1(0(0(0(0(1(1(0(0(1(1(0(1(0(0(0(0(0(0(1(1(1(1(1(1(0(0(0(0(0(1(1(1(1(1(1(1(0(1(1(1(0(1(1(0(0(1(1(0(0(0(0(0(0(0(x1)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) The (relative) TRS S consists of the following rules: encArg(cons_0(x_1)) -> 0(encArg(x_1)) encArg(cons_1(x_1)) -> 1(encArg(x_1)) encode_0(x_1) -> 0(encArg(x_1)) encode_1(x_1) -> 1(encArg(x_1)) Rewrite Strategy: FULL ---------------------------------------- (3) SInnermostTerminationProof (BOTH CONCRETE BOUNDS(ID, ID)) proved innermost termination of relative rules ---------------------------------------- (4) Obligation: The Runtime Complexity (full) of the given CpxRelTRS could be proven to be BOUNDS(1, INF). 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-> 1(0(0(0(1(0(1(0(0(1(0(1(0(0(0(1(0(0(1(1(1(0(0(1(1(0(0(1(0(0(0(0(1(1(0(0(1(1(0(1(0(0(0(0(0(0(1(1(1(1(1(1(0(0(0(0(0(1(1(1(1(1(1(1(0(1(1(1(0(1(1(0(0(1(1(0(0(0(0(0(0(0(x1)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) 1(0(0(0(1(0(1(0(0(1(0(1(0(0(0(1(0(0(1(1(1(0(0(1(1(0(0(1(0(0(0(0(1(1(0(0(0(1(0(1(1(1(0(1(0(0(0(0(0(1(0(1(1(1(0(1(1(1(1(0(1(0(1(1(0(0(0(0(1(0(1(1(1(0(1(1(1(1(0(0(0(x1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> 0(0(0(0(0(1(0(0(1(1(0(1(0(0(0(0(1(1(1(0(0(1(1(1(0(1(1(0(0(0(0(1(0(0(1(1(0(0(1(1(0(0(0(1(1(0(0(1(0(1(0(1(1(1(1(0(0(0(1(0(0(1(1(1(0(1(0(0(1(0(0(0(0(1(0(0(0(0(0(0(0(0(x1)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) 1(0(0(0(1(0(1(0(0(1(0(1(0(0(0(1(0(0(1(1(1(0(0(1(1(0(0(1(0(0(0(0(1(1(0(0(1(1(0(1(0(0(0(0(0(0(1(1(1(1(1(1(0(0(0(0(0(1(1(1(1(1(1(1(0(1(1(1(0(1(1(0(1(0(1(1(1(0(1(1(1(x1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> 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1(1(0(1(1(0(0(1(0(1(1(1(1(0(0(0(0(0(1(1(0(0(1(0(0(1(1(0(0(0(1(0(0(0(0(1(0(0(1(0(1(1(0(1(0(0(0(0(1(1(1(1(1(1(1(0(0(1(1(1(1(1(1(1(0(1(0(1(1(1(1(1(0(0(0(1(0(1(0(1(0(0(x1)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) 1(0(0(1(1(1(1(0(1(0(1(0(1(0(1(0(1(1(0(1(1(1(1(0(1(0(1(0(1(1(1(1(0(0(1(1(0(0(0(0(0(0(1(1(1(0(0(1(1(0(0(1(1(0(0(1(1(1(0(1(1(0(1(1(0(0(1(1(1(0(0(0(1(1(0(0(1(1(0(0(0(x1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> 1(0(0(0(1(0(1(0(0(1(0(1(0(0(0(1(0(0(1(1(1(0(0(1(1(0(0(1(0(0(0(0(1(1(0(0(1(1(0(1(0(0(0(0(0(0(1(1(1(1(1(1(0(0(0(0(0(1(1(1(1(1(1(1(0(1(1(1(0(1(1(0(0(1(1(0(0(0(0(0(0(0(x1)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) The (relative) TRS S consists of the following rules: encArg(cons_0(x_1)) -> 0(encArg(x_1)) encArg(cons_1(x_1)) -> 1(encArg(x_1)) encode_0(x_1) -> 0(encArg(x_1)) encode_1(x_1) -> 1(encArg(x_1)) Rewrite Strategy: FULL ---------------------------------------- (5) RelTrsToDecreasingLoopProblemProof (LOWER BOUND(ID)) Transformed a relative TRS into a decreasing-loop problem. ---------------------------------------- (6) Obligation: Analyzing the following TRS for decreasing loops: The Runtime Complexity (full) of the given CpxRelTRS could be proven to be BOUNDS(1, INF). 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1(1(0(1(1(0(0(1(0(1(1(1(1(0(0(0(0(0(1(1(0(0(1(0(0(1(1(0(0(0(1(0(0(0(0(1(0(0(1(0(1(1(0(1(0(0(0(0(1(1(1(1(1(1(1(0(0(1(1(1(1(1(1(1(0(1(0(1(1(1(1(1(0(0(0(1(0(1(0(1(0(0(x1)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) 1(0(0(1(1(1(1(0(1(0(1(0(1(0(1(0(1(1(0(1(1(1(1(0(1(0(1(0(1(1(1(1(0(0(1(1(0(0(0(0(0(0(1(1(1(0(0(1(1(0(0(1(1(0(0(1(1(1(0(1(1(0(1(1(0(0(1(1(1(0(0(0(1(1(0(0(1(1(0(0(0(x1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> 1(0(0(0(1(0(1(0(0(1(0(1(0(0(0(1(0(0(1(1(1(0(0(1(1(0(0(1(0(0(0(0(1(1(0(0(1(1(0(1(0(0(0(0(0(0(1(1(1(1(1(1(0(0(0(0(0(1(1(1(1(1(1(1(0(1(1(1(0(1(1(0(0(1(1(0(0(0(0(0(0(0(x1)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) The (relative) TRS S consists of the following rules: encArg(cons_0(x_1)) -> 0(encArg(x_1)) encArg(cons_1(x_1)) -> 1(encArg(x_1)) encode_0(x_1) -> 0(encArg(x_1)) encode_1(x_1) -> 1(encArg(x_1)) Rewrite Strategy: FULL ---------------------------------------- (7) RenamingProof (BOTH BOUNDS(ID, ID)) Renamed function symbols to avoid clashes with predefined symbol. ---------------------------------------- (8) Obligation: The Runtime Complexity (full) of the given CpxRelTRS could be proven to be BOUNDS(1, INF). 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-> 0(0(1(0(1(1(0(0(0(1(1(1(0(0(1(1(1(0(1(0(0(1(0(0(1(1(0(0(1(1(1(1(0(1(1(1(0(1(0(0(1(1(1(0(0(1(0(0(0(1(0(1(1(1(1(1(0(1(0(0(0(0(0(1(1(1(1(0(1(1(1(1(0(1(1(0(0(0(0(0(1(0(x1)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) 1(0(0(1(1(1(1(0(1(0(1(0(1(0(1(0(1(1(0(1(1(1(1(0(1(0(1(0(1(1(1(1(0(0(1(1(0(0(0(0(0(0(1(1(1(0(0(1(1(0(0(1(1(0(0(1(1(1(0(1(1(0(1(1(0(0(1(1(1(0(0(0(0(1(1(0(0(0(0(1(0(x1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> 0(0(1(0(1(1(0(0(0(1(1(1(0(0(1(1(1(0(1(0(0(1(0(0(1(1(0(0(1(1(1(1(0(1(1(1(0(1(0(0(1(1(1(0(0(1(0(0(0(1(0(1(1(1(0(1(0(1(1(0(1(1(1(1(0(0(0(0(0(0(0(0(0(1(0(0(0(0(1(0(0(0(x1)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) 1(0(0(1(1(1(1(0(1(0(1(0(1(0(1(0(1(1(0(1(1(1(1(0(1(0(1(0(1(1(1(1(0(0(1(1(0(0(0(0(0(0(1(1(1(0(0(1(1(0(0(1(1(0(0(1(1(1(0(1(1(0(1(1(0(0(1(1(1(0(0(0(1(1(0(0(0(0(1(1(0(x1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> 1(1(0(1(1(0(0(1(0(1(1(1(1(0(0(0(0(0(1(1(0(0(1(0(0(1(1(0(0(0(1(0(0(0(0(1(0(0(1(0(1(1(0(1(0(0(0(0(1(1(1(1(1(1(1(0(0(1(1(1(1(1(1(1(0(1(0(1(1(1(1(1(0(0(0(1(0(1(0(1(0(0(x1)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) 1(0(0(1(1(1(1(0(1(0(1(0(1(0(1(0(1(1(0(1(1(1(1(0(1(0(1(0(1(1(1(1(0(0(1(1(0(0(0(0(0(0(1(1(1(0(0(1(1(0(0(1(1(0(0(1(1(1(0(1(1(0(1(1(0(0(1(1(1(0(0(0(1(1(0(0(1(1(0(0(0(x1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> 1(0(0(0(1(0(1(0(0(1(0(1(0(0(0(1(0(0(1(1(1(0(0(1(1(0(0(1(0(0(0(0(1(1(0(0(1(1(0(1(0(0(0(0(0(0(1(1(1(1(1(1(0(0(0(0(0(1(1(1(1(1(1(1(0(1(1(1(0(1(1(0(0(1(1(0(0(0(0(0(0(0(x1)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) The (relative) TRS S consists of the following rules: encArg(cons_0(x_1)) -> 0(encArg(x_1)) encArg(cons_1(x_1)) -> 1(encArg(x_1)) encode_0(x_1) -> 0(encArg(x_1)) encode_1(x_1) -> 1(encArg(x_1)) Rewrite Strategy: FULL ---------------------------------------- (9) TypeInferenceProof (BOTH BOUNDS(ID, ID)) Infered types. ---------------------------------------- (10) Obligation: TRS: Rules: 0(0(0(0(0(1(0(0(1(1(0(1(0(0(0(0(1(1(1(0(0(1(1(1(0(1(1(0(0(0(0(1(0(0(1(1(0(0(1(1(0(0(0(1(1(0(0(1(0(1(1(0(0(0(0(1(0(0(1(0(0(1(1(1(1(0(0(1(0(0(1(1(0(1(0(1(1(1(1(1(0(x1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> 0(0(0(0(0(1(0(0(1(1(0(1(0(0(0(0(1(1(1(0(0(1(1(1(0(1(1(0(0(0(0(1(0(0(1(1(0(0(1(1(0(0(0(1(1(0(0(1(0(1(1(0(0(0(0(1(0(0(1(0(0(1(1(1(1(0(0(0(0(1(1(0(1(1(0(0(0(0(0(0(1(0(1(1(x1)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) 0(0(1(0(1(1(0(0(0(1(1(1(0(0(1(1(1(0(1(0(0(1(0(0(1(1(0(0(1(1(1(1(0(1(1(1(0(1(0(0(1(0(0(0(1(1(1(1(1(0(1(0(0(0(0(0(0(1(1(1(0(1(0(0(0(0(0(1(0(1(1(1(1(1(0(0(1(0(0(1(0(x1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> 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0(0(0(0(0(1(0(0(1(1(0(1(0(0(0(0(1(1(1(0(0(1(1(1(0(1(1(0(0(0(0(1(0(0(1(1(0(0(1(1(0(0(0(1(1(0(0(1(0(1(0(1(1(1(1(0(0(1(1(1(1(0(0(0(0(0(0(0(0(1(1(1(0(0(1(1(1(0(1(1(1(0(x1)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) 0(0(1(0(1(1(0(0(0(1(1(1(0(0(1(1(1(0(1(0(0(1(0(0(1(1(0(0(1(1(1(1(0(1(1(1(0(1(0(0(1(0(0(0(1(1(1(1(1(0(1(0(0(0(0(0(0(1(1(1(0(1(0(0(0(0(0(1(0(1(1(1(1(1(0(0(1(0(0(1(1(x1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> 0(0(0(0(0(1(0(0(1(1(0(1(0(0(0(0(1(1(1(0(0(1(1(1(0(1(1(0(0(0(0(1(0(0(1(1(0(0(1(1(0(0(0(1(1(0(0(1(0(1(1(0(0(0(0(1(0(0(1(0(0(1(1(1(1(0(0(1(0(1(1(0(1(1(0(1(0(1(1(0(0(0(x1)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) 0(0(1(0(1(1(0(0(0(1(1(1(0(0(1(1(1(0(1(0(0(1(0(0(1(1(0(0(1(1(1(1(0(1(1(1(0(1(0(0(1(0(0(0(1(1(1(1(1(0(1(0(0(0(0(0(0(1(1(1(0(1(0(0(0(0(0(1(0(1(1(1(1(1(0(0(1(0(0(1(1(x1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> 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1(1(0(1(1(0(0(1(0(1(1(1(1(0(0(0(0(0(1(1(0(0(1(0(0(1(1(0(0(0(1(0(0(0(0(1(0(0(1(0(1(1(0(1(0(0(0(0(1(1(1(1(1(1(1(0(0(1(1(1(1(1(1(1(0(1(0(1(1(1(1(1(0(0(0(1(0(1(0(1(0(0(x1)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) 1(0(0(1(1(1(1(0(1(0(1(0(1(0(1(0(1(1(0(1(1(1(1(0(1(0(1(0(1(1(1(1(0(0(1(1(0(0(0(0(0(0(1(1(1(0(0(1(1(0(0(1(1(0(0(1(1(1(0(1(1(0(1(1(0(0(1(1(1(0(0(0(1(1(0(0(1(1(0(0(0(x1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> 1(0(0(0(1(0(1(0(0(1(0(1(0(0(0(1(0(0(1(1(1(0(0(1(1(0(0(1(0(0(0(0(1(1(0(0(1(1(0(1(0(0(0(0(0(0(1(1(1(1(1(1(0(0(0(0(0(1(1(1(1(1(1(1(0(1(1(1(0(1(1(0(0(1(1(0(0(0(0(0(0(0(x1)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) encArg(cons_0(x_1)) -> 0(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)) Types: 0 :: 0:1:encArg:encode_0:encode_1 -> 0:1:encArg:encode_0:encode_1 1 :: 0:1:encArg:encode_0:encode_1 -> 0:1:encArg:encode_0:encode_1 encArg :: cons_0:cons_1 -> 0:1:encArg:encode_0:encode_1 cons_0 :: cons_0:cons_1 -> cons_0:cons_1 cons_1 :: cons_0:cons_1 -> cons_0:cons_1 encode_0 :: cons_0:cons_1 -> 0:1:encArg:encode_0:encode_1 encode_1 :: cons_0:cons_1 -> 0:1:encArg:encode_0:encode_1 hole_0:1:encArg:encode_0:encode_11_2 :: 0:1:encArg:encode_0:encode_1 hole_cons_0:cons_12_2 :: cons_0:cons_1 gen_cons_0:cons_13_2 :: Nat -> cons_0:cons_1 ---------------------------------------- (11) OrderProof (LOWER BOUND(ID)) Heuristically decided to analyse the following defined symbols: 0, 1, encArg They will be analysed ascendingly in the following order: 0 = 1 0 < encArg 1 < encArg ---------------------------------------- (12) Obligation: TRS: Rules: 0(0(0(0(0(1(0(0(1(1(0(1(0(0(0(0(1(1(1(0(0(1(1(1(0(1(1(0(0(0(0(1(0(0(1(1(0(0(1(1(0(0(0(1(1(0(0(1(0(1(1(0(0(0(0(1(0(0(1(0(0(1(1(1(1(0(0(1(0(0(1(1(0(1(0(1(1(1(1(1(0(x1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> 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-> 0(0(0(0(0(1(0(0(1(1(0(1(0(0(0(0(1(1(1(0(0(1(1(1(0(1(1(0(0(0(0(1(0(0(1(1(0(0(1(1(0(0(0(1(1(0(0(1(0(1(0(1(1(1(1(0(0(1(1(1(1(0(0(0(1(1(1(0(0(1(1(0(0(1(0(0(0(0(1(0(0(0(1(x1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) 0(0(1(0(1(1(0(0(0(1(1(1(0(0(1(1(1(0(1(0(0(1(0(0(1(1(0(0(1(1(1(1(0(1(1(1(0(1(0(0(1(0(0(0(1(1(1(1(1(0(1(0(0(0(0(0(0(1(1(1(0(1(0(0(0(0(0(1(0(1(1(1(1(1(0(0(1(0(0(1(1(x1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> 0(0(0(0(0(1(0(0(1(1(0(1(0(0(0(0(1(1(1(0(0(1(1(1(0(1(1(0(0(0(0(1(0(0(1(1(0(0(1(1(0(0(0(1(1(0(0(1(0(1(0(1(1(1(1(0(0(1(1(1(1(0(0(0(0(0(0(0(0(1(1(1(0(0(1(1(1(0(1(1(1(0(x1)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) 0(0(1(0(1(1(0(0(0(1(1(1(0(0(1(1(1(0(1(0(0(1(0(0(1(1(0(0(1(1(1(1(0(1(1(1(0(1(0(0(1(0(0(0(1(1(1(1(1(0(1(0(0(0(0(0(0(1(1(1(0(1(0(0(0(0(0(1(0(1(1(1(1(1(0(0(1(0(0(1(1(x1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> 0(0(0(0(0(1(0(0(1(1(0(1(0(0(0(0(1(1(1(0(0(1(1(1(0(1(1(0(0(0(0(1(0(0(1(1(0(0(1(1(0(0(0(1(1(0(0(1(0(1(1(0(0(0(0(1(0(0(1(0(0(1(1(1(1(0(0(1(0(1(1(0(1(1(0(1(0(1(1(0(0(0(x1)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) 0(0(1(0(1(1(0(0(0(1(1(1(0(0(1(1(1(0(1(0(0(1(0(0(1(1(0(0(1(1(1(1(0(1(1(1(0(1(0(0(1(0(0(0(1(1(1(1(1(0(1(0(0(0(0(0(0(1(1(1(0(1(0(0(0(0(0(1(0(1(1(1(1(1(0(0(1(0(0(1(1(x1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> 0(0(0(0(0(1(0(0(1(1(0(1(0(0(0(0(1(1(1(0(0(1(1(1(0(1(1(0(0(0(0(1(0(0(1(1(0(0(1(1(0(0(0(1(1(0(0(1(0(1(0(1(1(1(1(0(0(1(1(1(1(0(0(0(0(0(0(0(0(1(1(1(1(1(1(0(1(0(0(0(0(0(1(1(x1)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) 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0(0(1(0(1(1(0(0(0(1(1(1(0(0(1(1(1(0(1(0(0(1(0(0(1(1(0(0(1(1(1(1(0(1(1(1(0(1(0(0(1(1(1(0(0(1(0(0(0(1(0(1(1(1(0(1(0(1(1(0(1(1(1(1(0(0(0(0(0(0(0(0(0(1(0(0(0(0(1(0(0(x1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> 0(0(0(0(0(1(0(0(1(1(0(1(0(0(0(0(1(1(1(0(0(1(1(1(0(1(1(0(0(0(0(1(0(0(1(1(0(0(1(1(0(0(0(1(1(0(0(1(0(1(0(1(1(1(1(0(0(1(1(1(1(0(0(0(0(0(0(0(0(1(1(1(1(0(0(0(1(0(1(1(0(0(1(x1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) 0(0(1(0(1(1(0(0(0(1(1(1(0(0(1(1(1(0(1(0(0(1(0(0(1(1(0(0(1(1(1(1(0(1(1(1(0(1(0(0(1(1(1(0(0(1(0(0(0(1(0(1(1(1(1(1(0(1(0(0(0(0(0(1(1(1(1(0(1(1(1(1(0(0(1(1(0(1(1(0(0(x1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> 1(0(0(0(1(0(1(0(0(1(0(1(0(0(0(1(0(0(1(1(1(0(0(1(1(0(0(1(0(0(0(0(1(1(0(0(1(1(0(1(0(0(0(0(0(0(1(1(1(1(1(1(0(0(0(0(0(1(1(1(1(1(1(1(0(1(1(1(0(1(1(0(1(0(0(1(0(0(1(1(0(0(x1)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) 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-> 1(0(0(0(1(0(1(0(0(1(0(1(0(0(0(1(0(0(1(1(1(0(0(1(1(0(0(1(0(0(0(0(1(1(0(0(1(1(0(1(0(0(0(0(0(0(1(1(1(1(1(1(0(0(0(0(0(1(1(1(1(1(1(1(0(1(1(1(0(1(1(0(0(1(1(0(0(0(0(0(0(0(x1)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) 1(0(0(0(1(0(1(0(0(1(0(1(0(0(0(1(0(0(1(1(1(0(0(1(1(0(0(1(0(0(0(0(1(1(0(0(0(1(0(1(1(1(0(1(0(0(0(0(0(1(0(1(1(1(0(1(1(1(1(0(1(0(1(1(0(0(0(0(1(0(1(1(1(0(1(1(1(1(0(0(0(x1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> 0(0(0(0(0(1(0(0(1(1(0(1(0(0(0(0(1(1(1(0(0(1(1(1(0(1(1(0(0(0(0(1(0(0(1(1(0(0(1(1(0(0(0(1(1(0(0(1(0(1(0(1(1(1(1(0(0(0(1(0(0(1(1(1(0(1(0(0(1(0(0(0(0(1(0(0(0(0(0(0(0(0(x1)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) 1(0(0(0(1(0(1(0(0(1(0(1(0(0(0(1(0(0(1(1(1(0(0(1(1(0(0(1(0(0(0(0(1(1(0(0(1(1(0(1(0(0(0(0(0(0(1(1(1(1(1(1(0(0(0(0(0(1(1(1(1(1(1(1(0(1(1(1(0(1(1(0(1(0(1(1(1(0(1(1(1(x1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> 0(0(0(0(0(1(0(0(1(1(0(1(0(0(0(0(1(1(1(0(0(1(1(1(0(1(1(0(0(0(0(1(0(0(1(1(0(0(1(1(0(0(0(1(1(0(0(1(0(1(0(1(1(1(1(0(0(1(1(1(1(0(0(0(0(0(0(0(0(1(1(1(1(1(1(0(1(0(0(0(0(0(1(1(x1)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) 1(0(0(1(1(1(1(0(1(0(1(0(1(0(1(0(1(1(0(1(1(1(1(0(1(0(1(0(1(1(1(1(0(0(1(1(0(0(0(0(0(0(1(1(1(0(0(1(1(0(0(1(1(0(0(1(1(1(0(1(1(0(1(0(0(0(1(1(0(1(1(1(1(0(0(1(1(0(0(1(1(x1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> 0(0(1(0(1(1(0(0(0(1(1(1(0(0(1(1(1(0(1(0(0(1(0(0(1(1(0(0(1(1(1(1(0(1(1(1(0(1(0(0(1(0(0(0(1(1(1(1(1(0(1(0(0(0(0(0(0(1(1(1(0(1(0(0(0(0(0(1(0(1(1(1(1(1(0(0(1(0(0(0(0(0(x1)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) 1(0(0(1(1(1(1(0(1(0(1(0(1(0(1(0(1(1(0(1(1(1(1(0(1(0(1(0(1(1(1(1(0(0(1(1(0(0(0(0(0(0(1(1(1(0(0(1(1(0(0(1(1(0(0(1(1(1(0(1(1(0(1(0(0(0(1(1(0(1(1(1(1(0(0(1(1(0(0(1(1(x1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> 0(0(1(0(1(1(0(0(0(1(1(1(0(0(1(1(1(0(1(0(0(1(0(0(1(1(0(0(1(1(1(1(0(1(1(1(0(1(0(0(1(1(1(0(0(1(0(0(0(1(0(1(1(1(1(1(0(1(0(0(0(0(0(1(1(1(1(0(1(1(1(1(0(1(1(0(0(0(0(0(1(0(x1)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) 1(0(0(1(1(1(1(0(1(0(1(0(1(0(1(0(1(1(0(1(1(1(1(0(1(0(1(0(1(1(1(1(0(0(1(1(0(0(0(0(0(0(1(1(1(0(0(1(1(0(0(1(1(0(0(1(1(1(0(1(1(0(1(1(0(0(1(1(1(0(0(0(0(1(1(0(0(0(0(1(0(x1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> 0(0(1(0(1(1(0(0(0(1(1(1(0(0(1(1(1(0(1(0(0(1(0(0(1(1(0(0(1(1(1(1(0(1(1(1(0(1(0(0(1(1(1(0(0(1(0(0(0(1(0(1(1(1(0(1(0(1(1(0(1(1(1(1(0(0(0(0(0(0(0(0(0(1(0(0(0(0(1(0(0(0(x1)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) 1(0(0(1(1(1(1(0(1(0(1(0(1(0(1(0(1(1(0(1(1(1(1(0(1(0(1(0(1(1(1(1(0(0(1(1(0(0(0(0(0(0(1(1(1(0(0(1(1(0(0(1(1(0(0(1(1(1(0(1(1(0(1(1(0(0(1(1(1(0(0(0(1(1(0(0(0(0(1(1(0(x1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> 1(1(0(1(1(0(0(1(0(1(1(1(1(0(0(0(0(0(1(1(0(0(1(0(0(1(1(0(0(0(1(0(0(0(0(1(0(0(1(0(1(1(0(1(0(0(0(0(1(1(1(1(1(1(1(0(0(1(1(1(1(1(1(1(0(1(0(1(1(1(1(1(0(0(0(1(0(1(0(1(0(0(x1)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) 1(0(0(1(1(1(1(0(1(0(1(0(1(0(1(0(1(1(0(1(1(1(1(0(1(0(1(0(1(1(1(1(0(0(1(1(0(0(0(0(0(0(1(1(1(0(0(1(1(0(0(1(1(0(0(1(1(1(0(1(1(0(1(1(0(0(1(1(1(0(0(0(1(1(0(0(1(1(0(0(0(x1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> 1(0(0(0(1(0(1(0(0(1(0(1(0(0(0(1(0(0(1(1(1(0(0(1(1(0(0(1(0(0(0(0(1(1(0(0(1(1(0(1(0(0(0(0(0(0(1(1(1(1(1(1(0(0(0(0(0(1(1(1(1(1(1(1(0(1(1(1(0(1(1(0(0(1(1(0(0(0(0(0(0(0(x1)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) encArg(cons_0(x_1)) -> 0(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)) Types: 0 :: 0:1:encArg:encode_0:encode_1 -> 0:1:encArg:encode_0:encode_1 1 :: 0:1:encArg:encode_0:encode_1 -> 0:1:encArg:encode_0:encode_1 encArg :: cons_0:cons_1 -> 0:1:encArg:encode_0:encode_1 cons_0 :: cons_0:cons_1 -> cons_0:cons_1 cons_1 :: cons_0:cons_1 -> cons_0:cons_1 encode_0 :: cons_0:cons_1 -> 0:1:encArg:encode_0:encode_1 encode_1 :: cons_0:cons_1 -> 0:1:encArg:encode_0:encode_1 hole_0:1:encArg:encode_0:encode_11_2 :: 0:1:encArg:encode_0:encode_1 hole_cons_0:cons_12_2 :: cons_0:cons_1 gen_cons_0:cons_13_2 :: Nat -> cons_0:cons_1 Generator Equations: gen_cons_0:cons_13_2(0) <=> hole_cons_0:cons_12_2 gen_cons_0:cons_13_2(+(x, 1)) <=> cons_0(gen_cons_0:cons_13_2(x)) The following defined symbols remain to be analysed: 1, 0, encArg They will be analysed ascendingly in the following order: 0 = 1 0 < encArg 1 < encArg ---------------------------------------- (13) RelTrsToTrsProof (UPPER BOUND(ID)) transformed relative TRS to TRS ---------------------------------------- (14) Obligation: The Runtime Complexity (full) of the given CpxTRS could be proven to be BOUNDS(1, INF). The TRS R consists of the following rules: 0(0(0(0(0(1(0(0(1(1(0(1(0(0(0(0(1(1(1(0(0(1(1(1(0(1(1(0(0(0(0(1(0(0(1(1(0(0(1(1(0(0(0(1(1(0(0(1(0(1(1(0(0(0(0(1(0(0(1(0(0(1(1(1(1(0(0(1(0(0(1(1(0(1(0(1(1(1(1(1(0(x1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> 0(0(0(0(0(1(0(0(1(1(0(1(0(0(0(0(1(1(1(0(0(1(1(1(0(1(1(0(0(0(0(1(0(0(1(1(0(0(1(1(0(0(0(1(1(0(0(1(0(1(1(0(0(0(0(1(0(0(1(0(0(1(1(1(1(0(0(0(0(1(1(0(1(1(0(0(0(0(0(0(1(0(1(1(x1)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) 0(0(1(0(1(1(0(0(0(1(1(1(0(0(1(1(1(0(1(0(0(1(0(0(1(1(0(0(1(1(1(1(0(1(1(1(0(1(0(0(1(0(0(0(1(1(1(1(1(0(1(0(0(0(0(0(0(1(1(1(0(1(0(0(0(0(0(1(0(1(1(1(1(1(0(0(1(0(0(1(0(x1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> 0(0(1(0(1(1(0(0(0(1(1(1(0(0(1(1(1(0(1(0(0(1(0(0(1(1(0(0(1(1(1(1(0(1(1(1(0(1(0(0(1(0(0(0(1(1(1(1(1(0(1(0(0(0(0(0(0(1(1(1(0(1(0(0(0(0(0(1(0(1(1(1(1(1(0(0(1(1(0(0(0(0(x1)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) 0(0(1(0(1(1(0(0(0(1(1(1(0(0(1(1(1(0(1(0(0(1(0(0(1(1(0(0(1(1(1(1(0(1(1(1(0(1(0(0(1(0(0(0(1(1(1(1(1(0(1(0(0(0(0(0(0(1(1(1(0(1(0(0(0(0(0(1(0(1(1(1(1(1(0(0(1(0(0(1(0(x1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> 0(0(0(0(0(1(0(0(1(1(0(1(0(0(0(0(1(1(1(0(0(1(1(1(0(1(1(0(0(0(0(1(0(0(1(1(0(0(1(1(0(0(0(1(1(0(0(1(0(1(0(1(1(1(1(0(0(1(1(1(1(0(0(0(1(1(1(0(0(1(1(0(0(1(0(0(0(0(1(0(0(0(1(x1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) 0(0(1(0(1(1(0(0(0(1(1(1(0(0(1(1(1(0(1(0(0(1(0(0(1(1(0(0(1(1(1(1(0(1(1(1(0(1(0(0(1(0(0(0(1(1(1(1(1(0(1(0(0(0(0(0(0(1(1(1(0(1(0(0(0(0(0(1(0(1(1(1(1(1(0(0(1(0(0(1(1(x1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> 0(0(0(0(0(1(0(0(1(1(0(1(0(0(0(0(1(1(1(0(0(1(1(1(0(1(1(0(0(0(0(1(0(0(1(1(0(0(1(1(0(0(0(1(1(0(0(1(0(1(0(1(1(1(1(0(0(1(1(1(1(0(0(0(0(0(0(0(0(1(1(1(0(0(1(1(1(0(1(1(1(0(x1)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) 0(0(1(0(1(1(0(0(0(1(1(1(0(0(1(1(1(0(1(0(0(1(0(0(1(1(0(0(1(1(1(1(0(1(1(1(0(1(0(0(1(0(0(0(1(1(1(1(1(0(1(0(0(0(0(0(0(1(1(1(0(1(0(0(0(0(0(1(0(1(1(1(1(1(0(0(1(0(0(1(1(x1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> 0(0(0(0(0(1(0(0(1(1(0(1(0(0(0(0(1(1(1(0(0(1(1(1(0(1(1(0(0(0(0(1(0(0(1(1(0(0(1(1(0(0(0(1(1(0(0(1(0(1(1(0(0(0(0(1(0(0(1(0(0(1(1(1(1(0(0(1(0(1(1(0(1(1(0(1(0(1(1(0(0(0(x1)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) 0(0(1(0(1(1(0(0(0(1(1(1(0(0(1(1(1(0(1(0(0(1(0(0(1(1(0(0(1(1(1(1(0(1(1(1(0(1(0(0(1(0(0(0(1(1(1(1(1(0(1(0(0(0(0(0(0(1(1(1(0(1(0(0(0(0(0(1(0(1(1(1(1(1(0(0(1(0(0(1(1(x1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> 0(0(0(0(0(1(0(0(1(1(0(1(0(0(0(0(1(1(1(0(0(1(1(1(0(1(1(0(0(0(0(1(0(0(1(1(0(0(1(1(0(0(0(1(1(0(0(1(0(1(0(1(1(1(1(0(0(1(1(1(1(0(0(0(0(0(0(0(0(1(1(1(1(1(1(0(1(0(0(0(0(0(1(1(x1)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) 0(0(1(0(1(1(0(0(0(1(1(1(0(0(1(1(1(0(1(0(0(1(0(0(1(1(0(0(1(1(1(1(0(1(1(1(0(1(0(0(1(1(1(0(0(1(0(0(0(0(1(1(1(1(1(1(1(1(1(1(0(0(1(0(0(1(0(0(1(1(0(1(0(0(1(1(1(1(0(1(0(x1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> 0(0(0(0(0(1(0(0(1(1(0(1(0(0(0(0(1(1(1(0(0(1(1(1(0(1(1(0(0(0(0(1(0(0(1(1(0(0(1(1(0(0(0(1(1(0(0(1(0(1(0(1(1(1(1(0(0(1(1(1(1(0(0(0(0(0(0(0(0(1(1(1(1(1(1(0(1(0(0(0(1(0(x1)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) 0(0(1(0(1(1(0(0(0(1(1(1(0(0(1(1(1(0(1(0(0(1(0(0(1(1(0(0(1(1(1(1(0(1(1(1(0(1(0(0(1(1(1(0(0(1(0(0(0(0(1(1(1(1(1(1(1(1(1(1(0(0(1(0(0(1(0(0(1(1(0(1(0(0(1(1(1(1(0(1(0(x1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> 0(0(0(0(0(1(0(0(1(1(0(1(0(0(0(0(1(1(1(0(0(1(1(1(0(1(1(0(0(0(0(1(0(0(1(1(0(0(1(1(0(0(0(1(1(0(0(1(0(1(1(0(0(0(0(1(0(0(1(0(0(1(1(1(1(0(0(1(1(0(0(1(0(0(1(1(1(1(0(0(1(0(x1)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) 0(0(1(0(1(1(0(0(0(1(1(1(0(0(1(1(1(0(1(0(0(1(0(0(1(1(0(0(1(1(1(1(0(1(1(1(0(1(0(0(1(1(1(0(0(1(0(0(0(1(0(1(1(1(0(1(0(1(1(0(1(1(1(1(0(0(0(0(0(0(0(0(0(1(0(0(0(0(1(0(0(x1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> 0(0(0(0(0(1(0(0(1(1(0(1(0(0(0(0(1(1(1(0(0(1(1(1(0(1(1(0(0(0(0(1(0(0(1(1(0(0(1(1(0(0(0(1(1(0(0(1(0(1(0(1(1(1(1(0(0(1(1(1(1(0(0(0(0(0(0(0(0(1(1(1(1(0(0(0(1(0(1(1(0(0(1(x1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) 0(0(1(0(1(1(0(0(0(1(1(1(0(0(1(1(1(0(1(0(0(1(0(0(1(1(0(0(1(1(1(1(0(1(1(1(0(1(0(0(1(1(1(0(0(1(0(0(0(1(0(1(1(1(1(1(0(1(0(0(0(0(0(1(1(1(1(0(1(1(1(1(0(0(1(1(0(1(1(0(0(x1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> 1(0(0(0(1(0(1(0(0(1(0(1(0(0(0(1(0(0(1(1(1(0(0(1(1(0(0(1(0(0(0(0(1(1(0(0(1(1(0(1(0(0(0(0(0(0(1(1(1(1(1(1(0(0(0(0(0(1(1(1(1(1(1(1(0(1(1(1(0(1(1(0(1(0(0(1(0(0(1(1(0(0(x1)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) 0(0(1(0(1(1(0(0(0(1(1(1(0(0(1(1(1(0(1(0(0(1(0(0(1(1(0(0(1(1(1(1(0(1(1(1(0(1(0(0(1(1(1(0(0(1(0(0(0(1(0(1(1(1(1(1(0(1(0(0(0(0(0(1(1(1(1(0(1(1(1(1(0(0(1(1(1(0(1(0(0(x1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> 0(0(0(0(0(1(0(0(1(1(0(1(0(0(0(0(1(1(1(0(0(1(1(1(0(1(1(0(0(0(0(1(0(0(1(1(0(0(1(1(0(0(0(1(1(0(0(1(0(1(1(0(0(0(0(1(0(0(1(0(0(1(1(1(1(0(0(1(1(0(0(1(0(0(1(1(1(1(0(0(0(0(x1)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) 0(0(1(0(1(1(0(0(0(1(1(1(0(0(1(1(1(0(1(0(0(1(0(0(1(1(0(0(1(1(1(1(0(1(1(1(0(1(0(0(1(1(1(0(0(1(0(0(0(1(0(1(1(1(1(1(0(1(0(0(0(0(0(1(1(1(1(0(1(1(1(1(0(0(1(1(1(0(1(0(1(x1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> 0(0(0(0(0(1(0(0(1(1(0(1(0(0(0(0(1(1(1(0(0(1(1(1(0(1(1(0(0(0(0(1(0(0(1(1(0(0(1(1(0(0(0(1(1(0(0(1(0(1(0(1(1(1(1(0(0(1(1(1(1(0(0(0(0(0(0(0(0(1(1(1(0(0(1(1(1(0(1(1(1(0(x1)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) 0(0(1(0(1(1(0(0(0(1(1(1(0(0(1(1(1(0(1(0(0(1(0(0(1(1(0(0(1(1(1(1(0(1(1(1(0(1(0(0(1(1(1(0(0(1(0(0(0(1(0(1(1(1(1(1(0(1(0(0(0(0(0(1(1(1(1(0(1(1(1(1(0(0(1(1(1(0(1(1(0(x1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> 0(0(0(0(0(1(0(0(1(1(0(1(0(0(0(0(1(1(1(0(0(1(1(1(0(1(1(0(0(0(0(1(0(0(1(1(0(0(1(1(0(0(0(1(1(0(0(1(0(1(1(0(0(0(0(1(0(0(1(0(0(1(1(1(1(0(0(1(1(0(0(1(0(0(1(1(1(1(0(0(0(0(1(1(1(x1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) 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-> 1(0(0(0(1(0(1(0(0(1(0(1(0(0(0(1(0(0(1(1(1(0(0(1(1(0(0(1(0(0(0(0(1(1(0(0(1(1(0(1(0(0(0(0(0(0(1(1(1(1(1(1(0(0(0(0(0(1(1(1(1(1(1(1(0(1(1(1(0(1(1(0(0(1(1(0(0(0(0(0(0(0(x1)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) 1(0(0(0(1(0(1(0(0(1(0(1(0(0(0(1(0(0(1(1(1(0(0(1(1(0(0(1(0(0(0(0(1(1(0(0(0(1(0(1(1(1(0(1(0(0(0(0(0(1(0(1(1(1(0(1(1(1(1(0(1(0(1(1(0(0(0(0(1(0(1(1(1(0(1(1(1(1(0(0(0(x1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> 0(0(0(0(0(1(0(0(1(1(0(1(0(0(0(0(1(1(1(0(0(1(1(1(0(1(1(0(0(0(0(1(0(0(1(1(0(0(1(1(0(0(0(1(1(0(0(1(0(1(0(1(1(1(1(0(0(0(1(0(0(1(1(1(0(1(0(0(1(0(0(0(0(1(0(0(0(0(0(0(0(0(x1)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) 1(0(0(0(1(0(1(0(0(1(0(1(0(0(0(1(0(0(1(1(1(0(0(1(1(0(0(1(0(0(0(0(1(1(0(0(1(1(0(1(0(0(0(0(0(0(1(1(1(1(1(1(0(0(0(0(0(1(1(1(1(1(1(1(0(1(1(1(0(1(1(0(1(0(1(1(1(0(1(1(1(x1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> 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1(1(0(1(1(0(0(1(0(1(1(1(1(0(0(0(0(0(1(1(0(0(1(0(0(1(1(0(0(0(1(0(0(0(0(1(0(0(1(0(1(1(0(1(0(0(0(0(1(1(1(1(1(1(1(0(0(1(1(1(1(1(1(1(0(1(0(1(1(1(1(1(0(0(0(1(0(1(0(1(0(0(x1)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) 1(0(0(1(1(1(1(0(1(0(1(0(1(0(1(0(1(1(0(1(1(1(1(0(1(0(1(0(1(1(1(1(0(0(1(1(0(0(0(0(0(0(1(1(1(0(0(1(1(0(0(1(1(0(0(1(1(1(0(1(1(0(1(1(0(0(1(1(1(0(0(0(1(1(0(0(1(1(0(0(0(x1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> 1(0(0(0(1(0(1(0(0(1(0(1(0(0(0(1(0(0(1(1(1(0(0(1(1(0(0(1(0(0(0(0(1(1(0(0(1(1(0(1(0(0(0(0(0(0(1(1(1(1(1(1(0(0(0(0(0(1(1(1(1(1(1(1(0(1(1(1(0(1(1(0(0(1(1(0(0(0(0(0(0(0(x1)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) encArg(cons_0(x_1)) -> 0(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)) S is empty. Rewrite Strategy: FULL ---------------------------------------- (15) NonCtorToCtorProof (UPPER BOUND(ID)) transformed non-ctor to ctor-system ---------------------------------------- (16) Obligation: The Runtime Complexity (full) of the given CpxRelTRS could be proven to be BOUNDS(1, INF). 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0(c_0(c_1(c_0(c_1(c_1(c_0(c_0(c_0(c_1(c_1(c_1(c_0(c_0(c_1(c_1(c_1(c_0(c_1(c_0(c_0(c_1(c_0(c_0(c_1(c_1(c_0(c_0(c_1(c_1(c_1(c_1(c_0(c_1(c_1(c_1(c_0(c_1(c_0(c_0(c_1(c_1(c_1(c_0(c_0(c_1(c_0(c_0(c_0(c_1(c_0(c_1(c_1(c_1(c_1(c_1(c_0(c_1(c_0(c_0(c_0(c_0(c_0(c_1(c_1(c_1(c_1(c_0(c_1(c_1(c_1(c_1(c_0(c_1(c_1(c_0(c_0(c_0(c_0(c_0(c_1(x1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> 1(0(0(0(1(0(1(0(0(1(0(1(0(0(0(1(0(0(1(1(1(0(0(1(1(0(0(1(0(0(0(0(1(1(0(0(1(1(0(1(0(0(0(0(0(0(1(1(1(1(1(1(0(0(0(0(0(1(1(1(1(1(1(0(0(1(0(0(0(1(1(0(1(1(0(1(1(1(1(1(0(0(1(x1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) 0(c_0(c_0(c_0(c_0(c_1(c_0(c_0(c_1(c_1(c_0(c_1(c_0(c_0(c_0(c_0(c_1(c_1(c_1(c_0(c_0(c_1(c_1(c_1(c_0(c_1(c_1(c_0(c_0(c_0(c_0(c_1(c_0(c_0(c_1(c_1(c_0(c_0(c_1(c_1(c_0(c_0(c_0(c_1(c_1(c_0(c_0(c_1(c_0(c_1(c_1(c_0(c_0(c_0(c_0(c_1(c_0(c_0(c_1(c_0(c_0(c_1(c_1(c_1(c_1(c_0(c_0(c_1(c_0(c_0(c_1(c_1(c_0(c_1(c_0(c_1(c_1(c_1(c_1(c_1(c_0(x1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> 0(0(0(0(0(1(0(0(1(1(0(1(0(0(0(0(1(1(1(0(0(1(1(1(0(1(1(0(0(0(0(1(0(0(1(1(0(0(1(1(0(0(0(1(1(0(0(1(0(1(1(0(0(0(0(1(0(0(1(0(0(1(1(1(1(0(0(0(0(1(1(0(1(1(0(0(0(0(0(0(1(0(1(1(x1)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) The (relative) TRS S consists of the following rules: encArg(cons_0(x_1)) -> 0(encArg(x_1)) encArg(cons_1(x_1)) -> 1(encArg(x_1)) encode_0(x_1) -> 0(encArg(x_1)) encode_1(x_1) -> 1(encArg(x_1)) 0(x0) -> c_0(x0) 1(x0) -> c_1(x0) Rewrite Strategy: FULL ---------------------------------------- (17) RcToIrcProof (BOTH BOUNDS(ID, ID)) Converted rc-obligation to irc-obligation. As the TRS is a non-duplicating overlay system, we have rc = irc. ---------------------------------------- (18) 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_0(c_1(c_0(c_1(c_1(c_0(c_0(c_0(c_1(c_1(c_1(c_0(c_0(c_1(c_1(c_1(c_0(c_1(c_0(c_0(c_1(c_0(c_0(c_1(c_1(c_0(c_0(c_1(c_1(c_1(c_1(c_0(c_1(c_1(c_1(c_0(c_1(c_0(c_0(c_1(c_1(c_1(c_0(c_0(c_1(c_0(c_0(c_0(c_1(c_0(c_1(c_1(c_1(c_1(c_1(c_0(c_1(c_0(c_0(c_0(c_0(c_0(c_1(c_1(c_1(c_1(c_0(c_1(c_1(c_1(c_1(c_0(c_0(c_1(c_1(c_0(c_1(c_1(c_0(c_0(x1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> 1(0(0(0(1(0(1(0(0(1(0(1(0(0(0(1(0(0(1(1(1(0(0(1(1(0(0(1(0(0(0(0(1(1(0(0(1(1(0(1(0(0(0(0(0(0(1(1(1(1(1(1(0(0(0(0(0(1(1(1(1(1(1(1(0(1(1(1(0(1(1(0(1(0(0(1(0(0(1(1(0(0(x1)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) 0(c_0(c_1(c_0(c_1(c_1(c_0(c_0(c_0(c_1(c_1(c_1(c_0(c_0(c_1(c_1(c_1(c_0(c_1(c_0(c_0(c_1(c_0(c_0(c_1(c_1(c_0(c_0(c_1(c_1(c_1(c_1(c_0(c_1(c_1(c_1(c_0(c_1(c_0(c_0(c_1(c_1(c_1(c_0(c_0(c_1(c_0(c_0(c_0(c_0(c_1(c_1(c_1(c_1(c_1(c_1(c_1(c_1(c_1(c_1(c_0(c_0(c_1(c_0(c_0(c_1(c_0(c_0(c_1(c_1(c_0(c_1(c_0(c_0(c_1(c_1(c_1(c_1(c_0(c_1(c_0(x1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> 0(0(0(0(0(1(0(0(1(1(0(1(0(0(0(0(1(1(1(0(0(1(1(1(0(1(1(0(0(0(0(1(0(0(1(1(0(0(1(1(0(0(0(1(1(0(0(1(0(1(1(0(0(0(0(1(0(0(1(0(0(1(1(1(1(0(0(1(1(0(0(1(0(0(1(1(1(1(0(0(1(0(x1)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) 0(c_0(c_1(c_0(c_1(c_1(c_0(c_0(c_0(c_1(c_1(c_1(c_0(c_0(c_1(c_1(c_1(c_0(c_1(c_0(c_0(c_1(c_0(c_0(c_1(c_1(c_0(c_0(c_1(c_1(c_1(c_1(c_0(c_1(c_1(c_1(c_0(c_1(c_0(c_0(c_1(c_1(c_1(c_0(c_0(c_1(c_0(c_0(c_0(c_1(c_0(c_1(c_1(c_1(c_1(c_1(c_0(c_1(c_0(c_0(c_0(c_0(c_0(c_1(c_1(c_1(c_1(c_0(c_1(c_1(c_1(c_1(c_0(c_0(c_1(c_1(c_1(c_1(c_0(c_1(c_1(x1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> 1(0(0(0(1(0(1(0(0(1(0(1(0(0(0(1(0(0(1(1(1(0(0(1(1(0(0(1(0(0(0(0(1(1(0(0(1(1(0(1(0(0(0(0(0(0(1(1(1(1(1(1(0(0(0(0(0(1(1(1(1(1(1(1(0(1(1(1(0(1(1(0(1(0(0(1(0(0(1(0(0(0(1(x1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) 0(c_0(c_1(c_0(c_1(c_1(c_0(c_0(c_0(c_1(c_1(c_1(c_0(c_0(c_1(c_1(c_1(c_0(c_1(c_0(c_0(c_1(c_0(c_0(c_1(c_1(c_0(c_0(c_1(c_1(c_1(c_1(c_0(c_1(c_1(c_1(c_0(c_1(c_0(c_0(c_1(c_1(c_1(c_0(c_0(c_1(c_0(c_0(c_0(c_1(c_0(c_1(c_1(c_1(c_1(c_1(c_0(c_1(c_0(c_0(c_0(c_0(c_0(c_1(c_1(c_1(c_1(c_0(c_1(c_1(c_1(c_1(c_0(c_0(c_1(c_1(c_1(c_0(c_1(c_0(c_1(x1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> 0(0(0(0(0(1(0(0(1(1(0(1(0(0(0(0(1(1(1(0(0(1(1(1(0(1(1(0(0(0(0(1(0(0(1(1(0(0(1(1(0(0(0(1(1(0(0(1(0(1(0(1(1(1(1(0(0(1(1(1(1(0(0(0(0(0(0(0(0(1(1(1(0(0(1(1(1(0(1(1(1(0(x1)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) 1(c_0(c_0(c_0(c_1(c_0(c_1(c_0(c_0(c_1(c_0(c_1(c_0(c_0(c_0(c_1(c_0(c_0(c_1(c_1(c_1(c_0(c_0(c_1(c_1(c_0(c_0(c_1(c_0(c_0(c_0(c_0(c_1(c_1(c_0(c_0(c_0(c_1(c_0(c_1(c_1(c_1(c_0(c_1(c_0(c_0(c_0(c_0(c_0(c_1(c_0(c_1(c_1(c_1(c_0(c_1(c_1(c_1(c_1(c_0(c_1(c_0(c_1(c_1(c_0(c_0(c_0(c_0(c_1(c_0(c_1(c_1(c_1(c_0(c_1(c_1(c_1(c_1(c_0(c_0(c_0(x1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> 0(0(0(0(0(1(0(0(1(1(0(1(0(0(0(0(1(1(1(0(0(1(1(1(0(1(1(0(0(0(0(1(0(0(1(1(0(0(1(1(0(0(0(1(1(0(0(1(0(1(0(1(1(1(1(0(0(0(1(0(0(1(1(1(0(1(0(0(1(0(0(0(0(1(0(0(0(0(0(0(0(0(x1)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) 0(c_0(c_1(c_0(c_1(c_1(c_0(c_0(c_0(c_1(c_1(c_1(c_0(c_0(c_1(c_1(c_1(c_0(c_1(c_0(c_0(c_1(c_0(c_0(c_1(c_1(c_0(c_0(c_1(c_1(c_1(c_1(c_0(c_1(c_1(c_1(c_0(c_1(c_0(c_0(c_1(c_1(c_1(c_0(c_0(c_1(c_0(c_0(c_0(c_1(c_0(c_1(c_1(c_1(c_1(c_1(c_0(c_1(c_0(c_0(c_0(c_0(c_0(c_1(c_1(c_1(c_1(c_0(c_1(c_1(c_1(c_1(c_0(c_1(c_1(c_0(c_1(c_0(c_1(c_0(c_1(x1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> 1(1(0(1(1(0(0(1(0(1(1(1(1(0(0(0(0(0(1(1(0(0(1(0(0(1(1(0(0(0(1(0(0(0(0(1(0(0(1(0(1(1(0(1(0(0(0(0(1(1(1(1(1(1(1(0(0(1(1(1(1(1(1(0(0(0(1(0(0(0(1(0(1(0(1(1(1(0(0(0(0(0(1(1(1(1(x1)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) 0(c_0(c_1(c_0(c_1(c_1(c_0(c_0(c_0(c_1(c_1(c_1(c_0(c_0(c_1(c_1(c_1(c_0(c_1(c_0(c_0(c_1(c_0(c_0(c_1(c_1(c_0(c_0(c_1(c_1(c_1(c_1(c_0(c_1(c_1(c_1(c_0(c_1(c_0(c_0(c_1(c_0(c_0(c_0(c_1(c_1(c_1(c_1(c_1(c_0(c_1(c_0(c_0(c_0(c_0(c_0(c_0(c_1(c_1(c_1(c_0(c_1(c_0(c_0(c_0(c_0(c_0(c_1(c_0(c_1(c_1(c_1(c_1(c_1(c_0(c_0(c_1(c_0(c_0(c_1(c_1(x1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> 0(0(0(0(0(1(0(0(1(1(0(1(0(0(0(0(1(1(1(0(0(1(1(1(0(1(1(0(0(0(0(1(0(0(1(1(0(0(1(1(0(0(0(1(1(0(0(1(0(1(0(1(1(1(1(0(0(1(1(1(1(0(0(0(0(0(0(0(0(1(1(1(0(0(1(1(1(0(1(1(1(0(x1)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) 0(c_0(c_1(c_0(c_1(c_1(c_0(c_0(c_0(c_1(c_1(c_1(c_0(c_0(c_1(c_1(c_1(c_0(c_1(c_0(c_0(c_1(c_0(c_0(c_1(c_1(c_0(c_0(c_1(c_1(c_1(c_1(c_0(c_1(c_1(c_1(c_0(c_1(c_0(c_0(c_1(c_0(c_0(c_0(c_1(c_1(c_1(c_1(c_1(c_0(c_1(c_0(c_0(c_0(c_0(c_0(c_0(c_1(c_1(c_1(c_0(c_1(c_0(c_0(c_0(c_0(c_0(c_1(c_0(c_1(c_1(c_1(c_1(c_1(c_0(c_0(c_1(c_0(c_0(c_1(c_1(x1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> 0(0(0(0(0(1(0(0(1(1(0(1(0(0(0(0(1(1(1(0(0(1(1(1(0(1(1(0(0(0(0(1(0(0(1(1(0(0(1(1(0(0(0(1(1(0(0(1(0(1(0(1(1(1(1(0(0(1(1(1(1(0(0(0(0(0(0(0(0(1(1(1(1(1(1(0(1(0(0(0(0(0(1(1(x1)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) 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0(c_0(c_1(c_0(c_1(c_1(c_0(c_0(c_0(c_1(c_1(c_1(c_0(c_0(c_1(c_1(c_1(c_0(c_1(c_0(c_0(c_1(c_0(c_0(c_1(c_1(c_0(c_0(c_1(c_1(c_1(c_1(c_0(c_1(c_1(c_1(c_0(c_1(c_0(c_0(c_1(c_1(c_1(c_0(c_0(c_1(c_0(c_0(c_0(c_1(c_0(c_1(c_1(c_1(c_1(c_1(c_0(c_1(c_0(c_0(c_0(c_0(c_0(c_1(c_1(c_1(c_1(c_0(c_1(c_1(c_1(c_1(c_0(c_1(c_1(c_0(c_1(c_0(c_1(c_1(c_0(x1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> 1(0(0(0(1(0(1(0(0(1(0(1(0(0(0(1(0(0(1(1(1(0(0(1(1(0(0(1(0(0(0(0(1(1(0(0(1(1(0(1(0(0(0(0(0(0(1(1(1(1(1(1(0(0(0(0(0(1(1(1(1(1(1(1(0(1(1(1(0(1(1(0(1(0(0(1(0(0(1(0(1(0(1(1(x1)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) 0(c_0(c_1(c_0(c_1(c_1(c_0(c_0(c_0(c_1(c_1(c_1(c_0(c_0(c_1(c_1(c_1(c_0(c_1(c_0(c_0(c_1(c_0(c_0(c_1(c_1(c_0(c_0(c_1(c_1(c_1(c_1(c_0(c_1(c_1(c_1(c_0(c_1(c_0(c_0(c_1(c_0(c_0(c_0(c_1(c_1(c_1(c_1(c_1(c_0(c_1(c_0(c_0(c_0(c_0(c_0(c_0(c_1(c_1(c_1(c_0(c_1(c_0(c_0(c_0(c_0(c_0(c_1(c_0(c_1(c_1(c_1(c_1(c_1(c_0(c_0(c_1(c_0(c_0(c_1(c_0(x1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> 0(0(0(0(0(1(0(0(1(1(0(1(0(0(0(0(1(1(1(0(0(1(1(1(0(1(1(0(0(0(0(1(0(0(1(1(0(0(1(1(0(0(0(1(1(0(0(1(0(1(0(1(1(1(1(0(0(1(1(1(1(0(0(0(1(1(1(0(0(1(1(0(0(1(0(0(0(0(1(0(0(0(1(x1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) 1(c_0(c_0(c_1(c_1(c_1(c_1(c_0(c_1(c_0(c_1(c_0(c_1(c_0(c_1(c_0(c_1(c_1(c_0(c_1(c_1(c_1(c_1(c_0(c_1(c_0(c_1(c_0(c_1(c_1(c_1(c_1(c_0(c_0(c_1(c_1(c_0(c_0(c_0(c_0(c_0(c_0(c_1(c_1(c_1(c_0(c_0(c_1(c_1(c_0(c_0(c_1(c_1(c_0(c_0(c_1(c_1(c_1(c_0(c_1(c_1(c_0(c_1(c_0(c_0(c_0(c_1(c_1(c_0(c_1(c_1(c_1(c_1(c_0(c_0(c_1(c_1(c_0(c_0(c_1(c_1(x1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> 0(0(1(0(1(1(0(0(0(1(1(1(0(0(1(1(1(0(1(0(0(1(0(0(1(1(0(0(1(1(1(1(0(1(1(1(0(1(0(0(1(0(0(0(1(1(1(1(1(0(1(0(0(0(0(0(0(1(1(1(0(1(0(0(0(0(0(1(0(1(1(1(1(1(0(0(1(0(0(0(0(0(x1)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) 0(c_0(c_1(c_0(c_1(c_1(c_0(c_0(c_0(c_1(c_1(c_1(c_0(c_0(c_1(c_1(c_1(c_0(c_1(c_0(c_0(c_1(c_0(c_0(c_1(c_1(c_0(c_0(c_1(c_1(c_1(c_1(c_0(c_1(c_1(c_1(c_0(c_1(c_0(c_0(c_1(c_1(c_1(c_0(c_0(c_1(c_0(c_0(c_0(c_1(c_0(c_1(c_1(c_1(c_1(c_1(c_0(c_1(c_0(c_0(c_0(c_0(c_0(c_1(c_1(c_1(c_1(c_0(c_1(c_1(c_1(c_1(c_0(c_1(c_1(c_0(c_0(c_0(c_1(c_1(c_1(x1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> 0(0(0(0(0(1(0(0(1(1(0(1(0(0(0(0(1(1(1(0(0(1(1(1(0(1(1(0(0(0(0(1(0(0(1(1(0(0(1(1(0(0(0(1(1(0(0(1(0(1(1(0(0(0(0(1(0(0(1(0(0(1(1(1(1(0(0(1(1(0(0(1(0(0(1(1(1(1(0(0(0(0(1(1(1(x1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) 1(c_0(c_0(c_1(c_1(c_1(c_1(c_0(c_1(c_0(c_1(c_0(c_1(c_0(c_1(c_0(c_1(c_1(c_0(c_1(c_1(c_1(c_1(c_0(c_1(c_0(c_1(c_0(c_1(c_1(c_1(c_1(c_0(c_0(c_1(c_1(c_0(c_0(c_0(c_0(c_0(c_0(c_1(c_1(c_1(c_0(c_0(c_1(c_1(c_0(c_0(c_1(c_1(c_0(c_0(c_1(c_1(c_1(c_0(c_1(c_1(c_0(c_1(c_1(c_0(c_0(c_1(c_1(c_1(c_0(c_0(c_0(c_1(c_1(c_0(c_0(c_1(c_1(c_0(c_0(c_0(x1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> 1(0(0(0(1(0(1(0(0(1(0(1(0(0(0(1(0(0(1(1(1(0(0(1(1(0(0(1(0(0(0(0(1(1(0(0(1(1(0(1(0(0(0(0(0(0(1(1(1(1(1(1(0(0(0(0(0(1(1(1(1(1(1(1(0(1(1(1(0(1(1(0(0(1(1(0(0(0(0(0(0(0(x1)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) 0(c_0(c_1(c_0(c_1(c_1(c_0(c_0(c_0(c_1(c_1(c_1(c_0(c_0(c_1(c_1(c_1(c_0(c_1(c_0(c_0(c_1(c_0(c_0(c_1(c_1(c_0(c_0(c_1(c_1(c_1(c_1(c_0(c_1(c_1(c_1(c_0(c_1(c_0(c_0(c_1(c_1(c_1(c_0(c_0(c_1(c_0(c_0(c_0(c_1(c_0(c_1(c_1(c_1(c_1(c_1(c_0(c_1(c_0(c_0(c_0(c_0(c_0(c_1(c_1(c_1(c_1(c_0(c_1(c_1(c_1(c_1(c_0(c_1(c_1(c_0(c_1(c_0(c_1(c_1(c_0(x1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> 1(1(0(1(1(0(0(1(0(1(1(1(1(0(0(0(0(0(1(1(0(0(1(0(0(1(1(0(0(0(1(0(0(0(0(1(0(0(1(0(1(1(0(1(0(0(0(0(1(1(1(1(1(1(1(0(0(1(1(1(1(1(1(0(0(0(1(0(0(0(1(0(1(0(1(1(1(0(0(0(0(0(x1)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) 0(c_0(c_1(c_0(c_1(c_1(c_0(c_0(c_0(c_1(c_1(c_1(c_0(c_0(c_1(c_1(c_1(c_0(c_1(c_0(c_0(c_1(c_0(c_0(c_1(c_1(c_0(c_0(c_1(c_1(c_1(c_1(c_0(c_1(c_1(c_1(c_0(c_1(c_0(c_0(c_1(c_1(c_1(c_0(c_0(c_1(c_0(c_0(c_0(c_1(c_0(c_1(c_1(c_1(c_1(c_1(c_0(c_1(c_0(c_0(c_0(c_0(c_0(c_1(c_1(c_1(c_1(c_0(c_1(c_1(c_1(c_1(c_0(c_1(c_1(c_0(c_0(c_0(c_0(c_0(c_1(x1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> 1(0(0(0(1(0(1(0(0(1(0(1(0(0(0(1(0(0(1(1(1(0(0(1(1(0(0(1(0(0(0(0(1(1(0(0(1(1(0(1(0(0(0(0(0(0(1(1(1(1(1(1(0(0(0(0(0(1(1(1(1(1(1(0(0(1(0(0(0(1(1(0(1(1(0(1(1(1(1(1(0(0(1(x1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) 0(c_0(c_0(c_0(c_0(c_1(c_0(c_0(c_1(c_1(c_0(c_1(c_0(c_0(c_0(c_0(c_1(c_1(c_1(c_0(c_0(c_1(c_1(c_1(c_0(c_1(c_1(c_0(c_0(c_0(c_0(c_1(c_0(c_0(c_1(c_1(c_0(c_0(c_1(c_1(c_0(c_0(c_0(c_1(c_1(c_0(c_0(c_1(c_0(c_1(c_1(c_0(c_0(c_0(c_0(c_1(c_0(c_0(c_1(c_0(c_0(c_1(c_1(c_1(c_1(c_0(c_0(c_1(c_0(c_0(c_1(c_1(c_0(c_1(c_0(c_1(c_1(c_1(c_1(c_1(c_0(x1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> 0(0(0(0(0(1(0(0(1(1(0(1(0(0(0(0(1(1(1(0(0(1(1(1(0(1(1(0(0(0(0(1(0(0(1(1(0(0(1(1(0(0(0(1(1(0(0(1(0(1(1(0(0(0(0(1(0(0(1(0(0(1(1(1(1(0(0(0(0(1(1(0(1(1(0(0(0(0(0(0(1(0(1(1(x1)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) The (relative) TRS S consists of the following rules: encArg(cons_0(x_1)) -> 0(encArg(x_1)) encArg(cons_1(x_1)) -> 1(encArg(x_1)) encode_0(x_1) -> 0(encArg(x_1)) encode_1(x_1) -> 1(encArg(x_1)) 0(x0) -> c_0(x0) 1(x0) -> c_1(x0) Rewrite Strategy: INNERMOST ---------------------------------------- (19) RelTrsToWeightedTrsProof (BOTH BOUNDS(ID, ID)) Transformed relative TRS to weighted TRS ---------------------------------------- (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_0(c_1(c_0(c_1(c_1(c_0(c_0(c_0(c_1(c_1(c_1(c_0(c_0(c_1(c_1(c_1(c_0(c_1(c_0(c_0(c_1(c_0(c_0(c_1(c_1(c_0(c_0(c_1(c_1(c_1(c_1(c_0(c_1(c_1(c_1(c_0(c_1(c_0(c_0(c_1(c_1(c_1(c_0(c_0(c_1(c_0(c_0(c_0(c_1(c_0(c_1(c_1(c_1(c_1(c_1(c_0(c_1(c_0(c_0(c_0(c_0(c_0(c_1(c_1(c_1(c_1(c_0(c_1(c_1(c_1(c_1(c_0(c_0(c_1(c_1(c_0(c_1(c_1(c_0(c_0(x1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> 1(0(0(0(1(0(1(0(0(1(0(1(0(0(0(1(0(0(1(1(1(0(0(1(1(0(0(1(0(0(0(0(1(1(0(0(1(1(0(1(0(0(0(0(0(0(1(1(1(1(1(1(0(0(0(0(0(1(1(1(1(1(1(1(0(1(1(1(0(1(1(0(1(0(0(1(0(0(1(1(0(0(x1)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) [1] 0(c_0(c_1(c_0(c_1(c_1(c_0(c_0(c_0(c_1(c_1(c_1(c_0(c_0(c_1(c_1(c_1(c_0(c_1(c_0(c_0(c_1(c_0(c_0(c_1(c_1(c_0(c_0(c_1(c_1(c_1(c_1(c_0(c_1(c_1(c_1(c_0(c_1(c_0(c_0(c_1(c_1(c_1(c_0(c_0(c_1(c_0(c_0(c_0(c_0(c_1(c_1(c_1(c_1(c_1(c_1(c_1(c_1(c_1(c_1(c_0(c_0(c_1(c_0(c_0(c_1(c_0(c_0(c_1(c_1(c_0(c_1(c_0(c_0(c_1(c_1(c_1(c_1(c_0(c_1(c_0(x1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> 0(0(0(0(0(1(0(0(1(1(0(1(0(0(0(0(1(1(1(0(0(1(1(1(0(1(1(0(0(0(0(1(0(0(1(1(0(0(1(1(0(0(0(1(1(0(0(1(0(1(1(0(0(0(0(1(0(0(1(0(0(1(1(1(1(0(0(1(1(0(0(1(0(0(1(1(1(1(0(0(1(0(x1)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) [1] 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0(c_0(c_1(c_0(c_1(c_1(c_0(c_0(c_0(c_1(c_1(c_1(c_0(c_0(c_1(c_1(c_1(c_0(c_1(c_0(c_0(c_1(c_0(c_0(c_1(c_1(c_0(c_0(c_1(c_1(c_1(c_1(c_0(c_1(c_1(c_1(c_0(c_1(c_0(c_0(c_1(c_1(c_1(c_0(c_0(c_1(c_0(c_0(c_0(c_1(c_0(c_1(c_1(c_1(c_1(c_1(c_0(c_1(c_0(c_0(c_0(c_0(c_0(c_1(c_1(c_1(c_1(c_0(c_1(c_1(c_1(c_1(c_0(c_0(c_1(c_1(c_1(c_0(c_1(c_0(c_1(x1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> 0(0(0(0(0(1(0(0(1(1(0(1(0(0(0(0(1(1(1(0(0(1(1(1(0(1(1(0(0(0(0(1(0(0(1(1(0(0(1(1(0(0(0(1(1(0(0(1(0(1(0(1(1(1(1(0(0(1(1(1(1(0(0(0(0(0(0(0(0(1(1(1(0(0(1(1(1(0(1(1(1(0(x1)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) [1] 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0(c_0(c_0(c_0(c_0(c_1(c_0(c_0(c_1(c_1(c_0(c_1(c_0(c_0(c_0(c_0(c_1(c_1(c_1(c_0(c_0(c_1(c_1(c_1(c_0(c_1(c_1(c_0(c_0(c_0(c_0(c_1(c_0(c_0(c_1(c_1(c_0(c_0(c_1(c_1(c_0(c_0(c_0(c_1(c_1(c_0(c_0(c_1(c_0(c_1(c_1(c_0(c_0(c_0(c_0(c_1(c_0(c_0(c_1(c_0(c_0(c_1(c_1(c_1(c_1(c_0(c_0(c_1(c_0(c_0(c_1(c_1(c_0(c_1(c_0(c_1(c_1(c_1(c_1(c_1(c_0(x1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> 0(0(0(0(0(1(0(0(1(1(0(1(0(0(0(0(1(1(1(0(0(1(1(1(0(1(1(0(0(0(0(1(0(0(1(1(0(0(1(1(0(0(0(1(1(0(0(1(0(1(1(0(0(0(0(1(0(0(1(0(0(1(1(1(1(0(0(0(0(1(1(0(1(1(0(0(0(0(0(0(1(0(1(1(x1)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) [1] encArg(cons_0(x_1)) -> 0(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] 0(x0) -> c_0(x0) [0] 1(x0) -> c_1(x0) [0] Rewrite Strategy: INNERMOST ---------------------------------------- (21) CpxWeightedTrsRenamingProof (BOTH BOUNDS(ID, ID)) Renamed defined symbols to avoid conflicts with arithmetic symbols: 0 => 0' 1 => 1' ---------------------------------------- (22) Obligation: The Runtime Complexity (innermost) of the given CpxWeightedTrs could be proven to be BOUNDS(1, INF). The TRS R consists of the following rules: 0'(c_0(c_1(c_0(c_1(c_1(c_0(c_0(c_0(c_1(c_1(c_1(c_0(c_0(c_1(c_1(c_1(c_0(c_1(c_0(c_0(c_1(c_0(c_0(c_1(c_1(c_0(c_0(c_1(c_1(c_1(c_1(c_0(c_1(c_1(c_1(c_0(c_1(c_0(c_0(c_1(c_1(c_1(c_0(c_0(c_1(c_0(c_0(c_0(c_1(c_0(c_1(c_1(c_1(c_1(c_1(c_0(c_1(c_0(c_0(c_0(c_0(c_0(c_1(c_1(c_1(c_1(c_0(c_1(c_1(c_1(c_1(c_0(c_0(c_1(c_1(c_0(c_1(c_1(c_0(c_0(x1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> 1'(0'(0'(0'(1'(0'(1'(0'(0'(1'(0'(1'(0'(0'(0'(1'(0'(0'(1'(1'(1'(0'(0'(1'(1'(0'(0'(1'(0'(0'(0'(0'(1'(1'(0'(0'(1'(1'(0'(1'(0'(0'(0'(0'(0'(0'(1'(1'(1'(1'(1'(1'(0'(0'(0'(0'(0'(1'(1'(1'(1'(1'(1'(1'(0'(1'(1'(1'(0'(1'(1'(0'(1'(0'(0'(1'(0'(0'(1'(1'(0'(0'(x1)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) [1] 0'(c_0(c_1(c_0(c_1(c_1(c_0(c_0(c_0(c_1(c_1(c_1(c_0(c_0(c_1(c_1(c_1(c_0(c_1(c_0(c_0(c_1(c_0(c_0(c_1(c_1(c_0(c_0(c_1(c_1(c_1(c_1(c_0(c_1(c_1(c_1(c_0(c_1(c_0(c_0(c_1(c_1(c_1(c_0(c_0(c_1(c_0(c_0(c_0(c_0(c_1(c_1(c_1(c_1(c_1(c_1(c_1(c_1(c_1(c_1(c_0(c_0(c_1(c_0(c_0(c_1(c_0(c_0(c_1(c_1(c_0(c_1(c_0(c_0(c_1(c_1(c_1(c_1(c_0(c_1(c_0(x1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> 0'(0'(0'(0'(0'(1'(0'(0'(1'(1'(0'(1'(0'(0'(0'(0'(1'(1'(1'(0'(0'(1'(1'(1'(0'(1'(1'(0'(0'(0'(0'(1'(0'(0'(1'(1'(0'(0'(1'(1'(0'(0'(0'(1'(1'(0'(0'(1'(0'(1'(1'(0'(0'(0'(0'(1'(0'(0'(1'(0'(0'(1'(1'(1'(1'(0'(0'(1'(1'(0'(0'(1'(0'(0'(1'(1'(1'(1'(0'(0'(1'(0'(x1)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) [1] 0'(c_0(c_1(c_0(c_1(c_1(c_0(c_0(c_0(c_1(c_1(c_1(c_0(c_0(c_1(c_1(c_1(c_0(c_1(c_0(c_0(c_1(c_0(c_0(c_1(c_1(c_0(c_0(c_1(c_1(c_1(c_1(c_0(c_1(c_1(c_1(c_0(c_1(c_0(c_0(c_1(c_1(c_1(c_0(c_0(c_1(c_0(c_0(c_0(c_1(c_0(c_1(c_1(c_1(c_1(c_1(c_0(c_1(c_0(c_0(c_0(c_0(c_0(c_1(c_1(c_1(c_1(c_0(c_1(c_1(c_1(c_1(c_0(c_0(c_1(c_1(c_1(c_1(c_0(c_1(c_1(x1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> 1'(0'(0'(0'(1'(0'(1'(0'(0'(1'(0'(1'(0'(0'(0'(1'(0'(0'(1'(1'(1'(0'(0'(1'(1'(0'(0'(1'(0'(0'(0'(0'(1'(1'(0'(0'(1'(1'(0'(1'(0'(0'(0'(0'(0'(0'(1'(1'(1'(1'(1'(1'(0'(0'(0'(0'(0'(1'(1'(1'(1'(1'(1'(1'(0'(1'(1'(1'(0'(1'(1'(0'(1'(0'(0'(1'(0'(0'(1'(0'(0'(0'(1'(x1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) [1] 0'(c_0(c_1(c_0(c_1(c_1(c_0(c_0(c_0(c_1(c_1(c_1(c_0(c_0(c_1(c_1(c_1(c_0(c_1(c_0(c_0(c_1(c_0(c_0(c_1(c_1(c_0(c_0(c_1(c_1(c_1(c_1(c_0(c_1(c_1(c_1(c_0(c_1(c_0(c_0(c_1(c_1(c_1(c_0(c_0(c_1(c_0(c_0(c_0(c_1(c_0(c_1(c_1(c_1(c_1(c_1(c_0(c_1(c_0(c_0(c_0(c_0(c_0(c_1(c_1(c_1(c_1(c_0(c_1(c_1(c_1(c_1(c_0(c_0(c_1(c_1(c_1(c_0(c_1(c_0(c_1(x1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> 0'(0'(0'(0'(0'(1'(0'(0'(1'(1'(0'(1'(0'(0'(0'(0'(1'(1'(1'(0'(0'(1'(1'(1'(0'(1'(1'(0'(0'(0'(0'(1'(0'(0'(1'(1'(0'(0'(1'(1'(0'(0'(0'(1'(1'(0'(0'(1'(0'(1'(0'(1'(1'(1'(1'(0'(0'(1'(1'(1'(1'(0'(0'(0'(0'(0'(0'(0'(0'(1'(1'(1'(0'(0'(1'(1'(1'(0'(1'(1'(1'(0'(x1)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) [1] 1'(c_0(c_0(c_0(c_1(c_0(c_1(c_0(c_0(c_1(c_0(c_1(c_0(c_0(c_0(c_1(c_0(c_0(c_1(c_1(c_1(c_0(c_0(c_1(c_1(c_0(c_0(c_1(c_0(c_0(c_0(c_0(c_1(c_1(c_0(c_0(c_0(c_1(c_0(c_1(c_1(c_1(c_0(c_1(c_0(c_0(c_0(c_0(c_0(c_1(c_0(c_1(c_1(c_1(c_0(c_1(c_1(c_1(c_1(c_0(c_1(c_0(c_1(c_1(c_0(c_0(c_0(c_0(c_1(c_0(c_1(c_1(c_1(c_0(c_1(c_1(c_1(c_1(c_0(c_0(c_0(x1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> 0'(0'(0'(0'(0'(1'(0'(0'(1'(1'(0'(1'(0'(0'(0'(0'(1'(1'(1'(0'(0'(1'(1'(1'(0'(1'(1'(0'(0'(0'(0'(1'(0'(0'(1'(1'(0'(0'(1'(1'(0'(0'(0'(1'(1'(0'(0'(1'(0'(1'(0'(1'(1'(1'(1'(0'(0'(0'(1'(0'(0'(1'(1'(1'(0'(1'(0'(0'(1'(0'(0'(0'(0'(1'(0'(0'(0'(0'(0'(0'(0'(0'(x1)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) [1] 0'(c_0(c_1(c_0(c_1(c_1(c_0(c_0(c_0(c_1(c_1(c_1(c_0(c_0(c_1(c_1(c_1(c_0(c_1(c_0(c_0(c_1(c_0(c_0(c_1(c_1(c_0(c_0(c_1(c_1(c_1(c_1(c_0(c_1(c_1(c_1(c_0(c_1(c_0(c_0(c_1(c_1(c_1(c_0(c_0(c_1(c_0(c_0(c_0(c_1(c_0(c_1(c_1(c_1(c_1(c_1(c_0(c_1(c_0(c_0(c_0(c_0(c_0(c_1(c_1(c_1(c_1(c_0(c_1(c_1(c_1(c_1(c_0(c_1(c_1(c_0(c_1(c_0(c_1(c_0(c_1(x1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> 1'(1'(0'(1'(1'(0'(0'(1'(0'(1'(1'(1'(1'(0'(0'(0'(0'(0'(1'(1'(0'(0'(1'(0'(0'(1'(1'(0'(0'(0'(1'(0'(0'(0'(0'(1'(0'(0'(1'(0'(1'(1'(0'(1'(0'(0'(0'(0'(1'(1'(1'(1'(1'(1'(1'(0'(0'(1'(1'(1'(1'(1'(1'(0'(0'(0'(1'(0'(0'(0'(1'(0'(1'(0'(1'(1'(1'(0'(0'(0'(0'(0'(1'(1'(1'(1'(x1)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) [1] 0'(c_0(c_1(c_0(c_1(c_1(c_0(c_0(c_0(c_1(c_1(c_1(c_0(c_0(c_1(c_1(c_1(c_0(c_1(c_0(c_0(c_1(c_0(c_0(c_1(c_1(c_0(c_0(c_1(c_1(c_1(c_1(c_0(c_1(c_1(c_1(c_0(c_1(c_0(c_0(c_1(c_0(c_0(c_0(c_1(c_1(c_1(c_1(c_1(c_0(c_1(c_0(c_0(c_0(c_0(c_0(c_0(c_1(c_1(c_1(c_0(c_1(c_0(c_0(c_0(c_0(c_0(c_1(c_0(c_1(c_1(c_1(c_1(c_1(c_0(c_0(c_1(c_0(c_0(c_1(c_1(x1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> 0'(0'(0'(0'(0'(1'(0'(0'(1'(1'(0'(1'(0'(0'(0'(0'(1'(1'(1'(0'(0'(1'(1'(1'(0'(1'(1'(0'(0'(0'(0'(1'(0'(0'(1'(1'(0'(0'(1'(1'(0'(0'(0'(1'(1'(0'(0'(1'(0'(1'(0'(1'(1'(1'(1'(0'(0'(1'(1'(1'(1'(0'(0'(0'(0'(0'(0'(0'(0'(1'(1'(1'(0'(0'(1'(1'(1'(0'(1'(1'(1'(0'(x1)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) [1] 0'(c_0(c_1(c_0(c_1(c_1(c_0(c_0(c_0(c_1(c_1(c_1(c_0(c_0(c_1(c_1(c_1(c_0(c_1(c_0(c_0(c_1(c_0(c_0(c_1(c_1(c_0(c_0(c_1(c_1(c_1(c_1(c_0(c_1(c_1(c_1(c_0(c_1(c_0(c_0(c_1(c_0(c_0(c_0(c_1(c_1(c_1(c_1(c_1(c_0(c_1(c_0(c_0(c_0(c_0(c_0(c_0(c_1(c_1(c_1(c_0(c_1(c_0(c_0(c_0(c_0(c_0(c_1(c_0(c_1(c_1(c_1(c_1(c_1(c_0(c_0(c_1(c_0(c_0(c_1(c_1(x1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> 0'(0'(0'(0'(0'(1'(0'(0'(1'(1'(0'(1'(0'(0'(0'(0'(1'(1'(1'(0'(0'(1'(1'(1'(0'(1'(1'(0'(0'(0'(0'(1'(0'(0'(1'(1'(0'(0'(1'(1'(0'(0'(0'(1'(1'(0'(0'(1'(0'(1'(0'(1'(1'(1'(1'(0'(0'(1'(1'(1'(1'(0'(0'(0'(0'(0'(0'(0'(0'(1'(1'(1'(1'(1'(1'(0'(1'(0'(0'(0'(0'(0'(1'(1'(x1)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) [1] 0'(c_0(c_1(c_0(c_1(c_1(c_0(c_0(c_0(c_1(c_1(c_1(c_0(c_0(c_1(c_1(c_1(c_0(c_1(c_0(c_0(c_1(c_0(c_0(c_1(c_1(c_0(c_0(c_1(c_1(c_1(c_1(c_0(c_1(c_1(c_1(c_0(c_1(c_0(c_0(c_1(c_1(c_1(c_0(c_0(c_1(c_0(c_0(c_0(c_1(c_0(c_1(c_1(c_1(c_1(c_1(c_0(c_1(c_0(c_0(c_0(c_0(c_0(c_1(c_1(c_1(c_1(c_0(c_1(c_1(c_1(c_1(c_0(c_1(c_1(c_0(c_1(c_0(c_1(c_1(c_0(x1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> 0'(0'(0'(0'(0'(1'(0'(0'(1'(1'(0'(1'(0'(0'(0'(0'(1'(1'(1'(0'(0'(1'(1'(1'(0'(1'(1'(0'(0'(0'(0'(1'(0'(0'(1'(1'(0'(0'(1'(1'(0'(0'(0'(1'(1'(0'(0'(1'(0'(1'(1'(0'(0'(0'(0'(1'(0'(0'(1'(0'(0'(1'(1'(1'(1'(0'(0'(1'(0'(1'(1'(0'(1'(1'(0'(1'(0'(1'(1'(0'(0'(0'(x1)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) [1] 1'(c_0(c_0(c_1(c_1(c_1(c_1(c_0(c_1(c_0(c_1(c_0(c_1(c_0(c_1(c_0(c_1(c_1(c_0(c_1(c_1(c_1(c_1(c_0(c_1(c_0(c_1(c_0(c_1(c_1(c_1(c_1(c_0(c_0(c_1(c_1(c_0(c_0(c_0(c_0(c_0(c_0(c_1(c_1(c_1(c_0(c_0(c_1(c_1(c_0(c_0(c_1(c_1(c_0(c_0(c_1(c_1(c_1(c_0(c_1(c_1(c_0(c_1(c_0(c_0(c_0(c_1(c_1(c_0(c_1(c_1(c_1(c_1(c_0(c_0(c_1(c_1(c_0(c_0(c_1(c_1(x1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> 0'(0'(1'(0'(1'(1'(0'(0'(0'(1'(1'(1'(0'(0'(1'(1'(1'(0'(1'(0'(0'(1'(0'(0'(1'(1'(0'(0'(1'(1'(1'(1'(0'(1'(1'(1'(0'(1'(0'(0'(1'(1'(1'(0'(0'(1'(0'(0'(0'(1'(0'(1'(1'(1'(1'(1'(0'(1'(0'(0'(0'(0'(0'(1'(1'(1'(1'(0'(1'(1'(1'(1'(0'(1'(1'(0'(0'(0'(0'(0'(1'(0'(x1)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) [1] 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0'(c_0(c_1(c_0(c_1(c_1(c_0(c_0(c_0(c_1(c_1(c_1(c_0(c_0(c_1(c_1(c_1(c_0(c_1(c_0(c_0(c_1(c_0(c_0(c_1(c_1(c_0(c_0(c_1(c_1(c_1(c_1(c_0(c_1(c_1(c_1(c_0(c_1(c_0(c_0(c_1(c_1(c_1(c_0(c_0(c_1(c_0(c_0(c_0(c_1(c_0(c_1(c_1(c_1(c_1(c_1(c_0(c_1(c_0(c_0(c_0(c_0(c_0(c_1(c_1(c_1(c_1(c_0(c_1(c_1(c_1(c_1(c_0(c_1(c_1(c_0(c_1(c_0(c_1(c_1(c_0(x1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> 1'(0'(0'(0'(1'(0'(1'(0'(0'(1'(0'(1'(0'(0'(0'(1'(0'(0'(1'(1'(1'(0'(0'(1'(1'(0'(0'(1'(0'(0'(0'(0'(1'(1'(0'(0'(1'(1'(0'(1'(0'(0'(0'(0'(0'(0'(1'(1'(1'(1'(1'(1'(0'(0'(0'(0'(0'(1'(1'(1'(1'(1'(1'(1'(0'(1'(1'(1'(0'(1'(1'(0'(1'(0'(0'(1'(0'(0'(1'(0'(1'(0'(1'(1'(x1)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) [1] 0'(c_0(c_1(c_0(c_1(c_1(c_0(c_0(c_0(c_1(c_1(c_1(c_0(c_0(c_1(c_1(c_1(c_0(c_1(c_0(c_0(c_1(c_0(c_0(c_1(c_1(c_0(c_0(c_1(c_1(c_1(c_1(c_0(c_1(c_1(c_1(c_0(c_1(c_0(c_0(c_1(c_0(c_0(c_0(c_1(c_1(c_1(c_1(c_1(c_0(c_1(c_0(c_0(c_0(c_0(c_0(c_0(c_1(c_1(c_1(c_0(c_1(c_0(c_0(c_0(c_0(c_0(c_1(c_0(c_1(c_1(c_1(c_1(c_1(c_0(c_0(c_1(c_0(c_0(c_1(c_0(x1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> 0'(0'(0'(0'(0'(1'(0'(0'(1'(1'(0'(1'(0'(0'(0'(0'(1'(1'(1'(0'(0'(1'(1'(1'(0'(1'(1'(0'(0'(0'(0'(1'(0'(0'(1'(1'(0'(0'(1'(1'(0'(0'(0'(1'(1'(0'(0'(1'(0'(1'(0'(1'(1'(1'(1'(0'(0'(1'(1'(1'(1'(0'(0'(0'(1'(1'(1'(0'(0'(1'(1'(0'(0'(1'(0'(0'(0'(0'(1'(0'(0'(0'(1'(x1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) [1] 1'(c_0(c_0(c_1(c_1(c_1(c_1(c_0(c_1(c_0(c_1(c_0(c_1(c_0(c_1(c_0(c_1(c_1(c_0(c_1(c_1(c_1(c_1(c_0(c_1(c_0(c_1(c_0(c_1(c_1(c_1(c_1(c_0(c_0(c_1(c_1(c_0(c_0(c_0(c_0(c_0(c_0(c_1(c_1(c_1(c_0(c_0(c_1(c_1(c_0(c_0(c_1(c_1(c_0(c_0(c_1(c_1(c_1(c_0(c_1(c_1(c_0(c_1(c_0(c_0(c_0(c_1(c_1(c_0(c_1(c_1(c_1(c_1(c_0(c_0(c_1(c_1(c_0(c_0(c_1(c_1(x1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> 0'(0'(1'(0'(1'(1'(0'(0'(0'(1'(1'(1'(0'(0'(1'(1'(1'(0'(1'(0'(0'(1'(0'(0'(1'(1'(0'(0'(1'(1'(1'(1'(0'(1'(1'(1'(0'(1'(0'(0'(1'(0'(0'(0'(1'(1'(1'(1'(1'(0'(1'(0'(0'(0'(0'(0'(0'(1'(1'(1'(0'(1'(0'(0'(0'(0'(0'(1'(0'(1'(1'(1'(1'(1'(0'(0'(1'(0'(0'(0'(0'(0'(x1)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) [1] 0'(c_0(c_1(c_0(c_1(c_1(c_0(c_0(c_0(c_1(c_1(c_1(c_0(c_0(c_1(c_1(c_1(c_0(c_1(c_0(c_0(c_1(c_0(c_0(c_1(c_1(c_0(c_0(c_1(c_1(c_1(c_1(c_0(c_1(c_1(c_1(c_0(c_1(c_0(c_0(c_1(c_1(c_1(c_0(c_0(c_1(c_0(c_0(c_0(c_1(c_0(c_1(c_1(c_1(c_1(c_1(c_0(c_1(c_0(c_0(c_0(c_0(c_0(c_1(c_1(c_1(c_1(c_0(c_1(c_1(c_1(c_1(c_0(c_1(c_1(c_0(c_0(c_0(c_1(c_1(c_1(x1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> 0'(0'(0'(0'(0'(1'(0'(0'(1'(1'(0'(1'(0'(0'(0'(0'(1'(1'(1'(0'(0'(1'(1'(1'(0'(1'(1'(0'(0'(0'(0'(1'(0'(0'(1'(1'(0'(0'(1'(1'(0'(0'(0'(1'(1'(0'(0'(1'(0'(1'(1'(0'(0'(0'(0'(1'(0'(0'(1'(0'(0'(1'(1'(1'(1'(0'(0'(1'(1'(0'(0'(1'(0'(0'(1'(1'(1'(1'(0'(0'(0'(0'(1'(1'(1'(x1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) [1] 1'(c_0(c_0(c_1(c_1(c_1(c_1(c_0(c_1(c_0(c_1(c_0(c_1(c_0(c_1(c_0(c_1(c_1(c_0(c_1(c_1(c_1(c_1(c_0(c_1(c_0(c_1(c_0(c_1(c_1(c_1(c_1(c_0(c_0(c_1(c_1(c_0(c_0(c_0(c_0(c_0(c_0(c_1(c_1(c_1(c_0(c_0(c_1(c_1(c_0(c_0(c_1(c_1(c_0(c_0(c_1(c_1(c_1(c_0(c_1(c_1(c_0(c_1(c_1(c_0(c_0(c_1(c_1(c_1(c_0(c_0(c_0(c_1(c_1(c_0(c_0(c_1(c_1(c_0(c_0(c_0(x1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> 1'(0'(0'(0'(1'(0'(1'(0'(0'(1'(0'(1'(0'(0'(0'(1'(0'(0'(1'(1'(1'(0'(0'(1'(1'(0'(0'(1'(0'(0'(0'(0'(1'(1'(0'(0'(1'(1'(0'(1'(0'(0'(0'(0'(0'(0'(1'(1'(1'(1'(1'(1'(0'(0'(0'(0'(0'(1'(1'(1'(1'(1'(1'(1'(0'(1'(1'(1'(0'(1'(1'(0'(0'(1'(1'(0'(0'(0'(0'(0'(0'(0'(x1)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) [1] 0'(c_0(c_1(c_0(c_1(c_1(c_0(c_0(c_0(c_1(c_1(c_1(c_0(c_0(c_1(c_1(c_1(c_0(c_1(c_0(c_0(c_1(c_0(c_0(c_1(c_1(c_0(c_0(c_1(c_1(c_1(c_1(c_0(c_1(c_1(c_1(c_0(c_1(c_0(c_0(c_1(c_1(c_1(c_0(c_0(c_1(c_0(c_0(c_0(c_1(c_0(c_1(c_1(c_1(c_1(c_1(c_0(c_1(c_0(c_0(c_0(c_0(c_0(c_1(c_1(c_1(c_1(c_0(c_1(c_1(c_1(c_1(c_0(c_1(c_1(c_0(c_1(c_0(c_1(c_1(c_0(x1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> 1'(1'(0'(1'(1'(0'(0'(1'(0'(1'(1'(1'(1'(0'(0'(0'(0'(0'(1'(1'(0'(0'(1'(0'(0'(1'(1'(0'(0'(0'(1'(0'(0'(0'(0'(1'(0'(0'(1'(0'(1'(1'(0'(1'(0'(0'(0'(0'(1'(1'(1'(1'(1'(1'(1'(0'(0'(1'(1'(1'(1'(1'(1'(0'(0'(0'(1'(0'(0'(0'(1'(0'(1'(0'(1'(1'(1'(0'(0'(0'(0'(0'(x1)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) [1] 0'(c_0(c_1(c_0(c_1(c_1(c_0(c_0(c_0(c_1(c_1(c_1(c_0(c_0(c_1(c_1(c_1(c_0(c_1(c_0(c_0(c_1(c_0(c_0(c_1(c_1(c_0(c_0(c_1(c_1(c_1(c_1(c_0(c_1(c_1(c_1(c_0(c_1(c_0(c_0(c_1(c_1(c_1(c_0(c_0(c_1(c_0(c_0(c_0(c_1(c_0(c_1(c_1(c_1(c_1(c_1(c_0(c_1(c_0(c_0(c_0(c_0(c_0(c_1(c_1(c_1(c_1(c_0(c_1(c_1(c_1(c_1(c_0(c_1(c_1(c_0(c_0(c_0(c_0(c_0(c_1(x1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> 1'(0'(0'(0'(1'(0'(1'(0'(0'(1'(0'(1'(0'(0'(0'(1'(0'(0'(1'(1'(1'(0'(0'(1'(1'(0'(0'(1'(0'(0'(0'(0'(1'(1'(0'(0'(1'(1'(0'(1'(0'(0'(0'(0'(0'(0'(1'(1'(1'(1'(1'(1'(0'(0'(0'(0'(0'(1'(1'(1'(1'(1'(1'(0'(0'(1'(0'(0'(0'(1'(1'(0'(1'(1'(0'(1'(1'(1'(1'(1'(0'(0'(1'(x1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) [1] 0'(c_0(c_0(c_0(c_0(c_1(c_0(c_0(c_1(c_1(c_0(c_1(c_0(c_0(c_0(c_0(c_1(c_1(c_1(c_0(c_0(c_1(c_1(c_1(c_0(c_1(c_1(c_0(c_0(c_0(c_0(c_1(c_0(c_0(c_1(c_1(c_0(c_0(c_1(c_1(c_0(c_0(c_0(c_1(c_1(c_0(c_0(c_1(c_0(c_1(c_1(c_0(c_0(c_0(c_0(c_1(c_0(c_0(c_1(c_0(c_0(c_1(c_1(c_1(c_1(c_0(c_0(c_1(c_0(c_0(c_1(c_1(c_0(c_1(c_0(c_1(c_1(c_1(c_1(c_1(c_0(x1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> 0'(0'(0'(0'(0'(1'(0'(0'(1'(1'(0'(1'(0'(0'(0'(0'(1'(1'(1'(0'(0'(1'(1'(1'(0'(1'(1'(0'(0'(0'(0'(1'(0'(0'(1'(1'(0'(0'(1'(1'(0'(0'(0'(1'(1'(0'(0'(1'(0'(1'(1'(0'(0'(0'(0'(1'(0'(0'(1'(0'(0'(1'(1'(1'(1'(0'(0'(0'(0'(1'(1'(0'(1'(1'(0'(0'(0'(0'(0'(0'(1'(0'(1'(1'(x1)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) [1] encArg(cons_0(x_1)) -> 0'(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] 0'(x0) -> c_0(x0) [0] 1'(x0) -> c_1(x0) [0] Rewrite Strategy: INNERMOST ---------------------------------------- (23) TypeInferenceProof (BOTH BOUNDS(ID, ID)) Infered types. ---------------------------------------- (24) Obligation: Runtime Complexity Weighted TRS with Types. The TRS R consists of the following rules: 0'(c_0(c_1(c_0(c_1(c_1(c_0(c_0(c_0(c_1(c_1(c_1(c_0(c_0(c_1(c_1(c_1(c_0(c_1(c_0(c_0(c_1(c_0(c_0(c_1(c_1(c_0(c_0(c_1(c_1(c_1(c_1(c_0(c_1(c_1(c_1(c_0(c_1(c_0(c_0(c_1(c_1(c_1(c_0(c_0(c_1(c_0(c_0(c_0(c_1(c_0(c_1(c_1(c_1(c_1(c_1(c_0(c_1(c_0(c_0(c_0(c_0(c_0(c_1(c_1(c_1(c_1(c_0(c_1(c_1(c_1(c_1(c_0(c_0(c_1(c_1(c_0(c_1(c_1(c_0(c_0(x1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> 1'(0'(0'(0'(1'(0'(1'(0'(0'(1'(0'(1'(0'(0'(0'(1'(0'(0'(1'(1'(1'(0'(0'(1'(1'(0'(0'(1'(0'(0'(0'(0'(1'(1'(0'(0'(1'(1'(0'(1'(0'(0'(0'(0'(0'(0'(1'(1'(1'(1'(1'(1'(0'(0'(0'(0'(0'(1'(1'(1'(1'(1'(1'(1'(0'(1'(1'(1'(0'(1'(1'(0'(1'(0'(0'(1'(0'(0'(1'(1'(0'(0'(x1)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) [1] 0'(c_0(c_1(c_0(c_1(c_1(c_0(c_0(c_0(c_1(c_1(c_1(c_0(c_0(c_1(c_1(c_1(c_0(c_1(c_0(c_0(c_1(c_0(c_0(c_1(c_1(c_0(c_0(c_1(c_1(c_1(c_1(c_0(c_1(c_1(c_1(c_0(c_1(c_0(c_0(c_1(c_1(c_1(c_0(c_0(c_1(c_0(c_0(c_0(c_0(c_1(c_1(c_1(c_1(c_1(c_1(c_1(c_1(c_1(c_1(c_0(c_0(c_1(c_0(c_0(c_1(c_0(c_0(c_1(c_1(c_0(c_1(c_0(c_0(c_1(c_1(c_1(c_1(c_0(c_1(c_0(x1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> 0'(0'(0'(0'(0'(1'(0'(0'(1'(1'(0'(1'(0'(0'(0'(0'(1'(1'(1'(0'(0'(1'(1'(1'(0'(1'(1'(0'(0'(0'(0'(1'(0'(0'(1'(1'(0'(0'(1'(1'(0'(0'(0'(1'(1'(0'(0'(1'(0'(1'(1'(0'(0'(0'(0'(1'(0'(0'(1'(0'(0'(1'(1'(1'(1'(0'(0'(1'(1'(0'(0'(1'(0'(0'(1'(1'(1'(1'(0'(0'(1'(0'(x1)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) [1] 0'(c_0(c_1(c_0(c_1(c_1(c_0(c_0(c_0(c_1(c_1(c_1(c_0(c_0(c_1(c_1(c_1(c_0(c_1(c_0(c_0(c_1(c_0(c_0(c_1(c_1(c_0(c_0(c_1(c_1(c_1(c_1(c_0(c_1(c_1(c_1(c_0(c_1(c_0(c_0(c_1(c_1(c_1(c_0(c_0(c_1(c_0(c_0(c_0(c_1(c_0(c_1(c_1(c_1(c_1(c_1(c_0(c_1(c_0(c_0(c_0(c_0(c_0(c_1(c_1(c_1(c_1(c_0(c_1(c_1(c_1(c_1(c_0(c_0(c_1(c_1(c_1(c_1(c_0(c_1(c_1(x1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> 1'(0'(0'(0'(1'(0'(1'(0'(0'(1'(0'(1'(0'(0'(0'(1'(0'(0'(1'(1'(1'(0'(0'(1'(1'(0'(0'(1'(0'(0'(0'(0'(1'(1'(0'(0'(1'(1'(0'(1'(0'(0'(0'(0'(0'(0'(1'(1'(1'(1'(1'(1'(0'(0'(0'(0'(0'(1'(1'(1'(1'(1'(1'(1'(0'(1'(1'(1'(0'(1'(1'(0'(1'(0'(0'(1'(0'(0'(1'(0'(0'(0'(1'(x1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) [1] 0'(c_0(c_1(c_0(c_1(c_1(c_0(c_0(c_0(c_1(c_1(c_1(c_0(c_0(c_1(c_1(c_1(c_0(c_1(c_0(c_0(c_1(c_0(c_0(c_1(c_1(c_0(c_0(c_1(c_1(c_1(c_1(c_0(c_1(c_1(c_1(c_0(c_1(c_0(c_0(c_1(c_1(c_1(c_0(c_0(c_1(c_0(c_0(c_0(c_1(c_0(c_1(c_1(c_1(c_1(c_1(c_0(c_1(c_0(c_0(c_0(c_0(c_0(c_1(c_1(c_1(c_1(c_0(c_1(c_1(c_1(c_1(c_0(c_0(c_1(c_1(c_1(c_0(c_1(c_0(c_1(x1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> 0'(0'(0'(0'(0'(1'(0'(0'(1'(1'(0'(1'(0'(0'(0'(0'(1'(1'(1'(0'(0'(1'(1'(1'(0'(1'(1'(0'(0'(0'(0'(1'(0'(0'(1'(1'(0'(0'(1'(1'(0'(0'(0'(1'(1'(0'(0'(1'(0'(1'(0'(1'(1'(1'(1'(0'(0'(1'(1'(1'(1'(0'(0'(0'(0'(0'(0'(0'(0'(1'(1'(1'(0'(0'(1'(1'(1'(0'(1'(1'(1'(0'(x1)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) [1] 1'(c_0(c_0(c_0(c_1(c_0(c_1(c_0(c_0(c_1(c_0(c_1(c_0(c_0(c_0(c_1(c_0(c_0(c_1(c_1(c_1(c_0(c_0(c_1(c_1(c_0(c_0(c_1(c_0(c_0(c_0(c_0(c_1(c_1(c_0(c_0(c_0(c_1(c_0(c_1(c_1(c_1(c_0(c_1(c_0(c_0(c_0(c_0(c_0(c_1(c_0(c_1(c_1(c_1(c_0(c_1(c_1(c_1(c_1(c_0(c_1(c_0(c_1(c_1(c_0(c_0(c_0(c_0(c_1(c_0(c_1(c_1(c_1(c_0(c_1(c_1(c_1(c_1(c_0(c_0(c_0(x1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> 0'(0'(0'(0'(0'(1'(0'(0'(1'(1'(0'(1'(0'(0'(0'(0'(1'(1'(1'(0'(0'(1'(1'(1'(0'(1'(1'(0'(0'(0'(0'(1'(0'(0'(1'(1'(0'(0'(1'(1'(0'(0'(0'(1'(1'(0'(0'(1'(0'(1'(0'(1'(1'(1'(1'(0'(0'(0'(1'(0'(0'(1'(1'(1'(0'(1'(0'(0'(1'(0'(0'(0'(0'(1'(0'(0'(0'(0'(0'(0'(0'(0'(x1)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) [1] 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0'(c_0(c_1(c_0(c_1(c_1(c_0(c_0(c_0(c_1(c_1(c_1(c_0(c_0(c_1(c_1(c_1(c_0(c_1(c_0(c_0(c_1(c_0(c_0(c_1(c_1(c_0(c_0(c_1(c_1(c_1(c_1(c_0(c_1(c_1(c_1(c_0(c_1(c_0(c_0(c_1(c_1(c_1(c_0(c_0(c_1(c_0(c_0(c_0(c_1(c_0(c_1(c_1(c_1(c_1(c_1(c_0(c_1(c_0(c_0(c_0(c_0(c_0(c_1(c_1(c_1(c_1(c_0(c_1(c_1(c_1(c_1(c_0(c_1(c_1(c_0(c_1(c_0(c_1(c_1(c_0(x1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> 1'(1'(0'(1'(1'(0'(0'(1'(0'(1'(1'(1'(1'(0'(0'(0'(0'(0'(1'(1'(0'(0'(1'(0'(0'(1'(1'(0'(0'(0'(1'(0'(0'(0'(0'(1'(0'(0'(1'(0'(1'(1'(0'(1'(0'(0'(0'(0'(1'(1'(1'(1'(1'(1'(1'(0'(0'(1'(1'(1'(1'(1'(1'(0'(0'(0'(1'(0'(0'(0'(1'(0'(1'(0'(1'(1'(1'(0'(0'(0'(0'(0'(x1)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) [1] 0'(c_0(c_1(c_0(c_1(c_1(c_0(c_0(c_0(c_1(c_1(c_1(c_0(c_0(c_1(c_1(c_1(c_0(c_1(c_0(c_0(c_1(c_0(c_0(c_1(c_1(c_0(c_0(c_1(c_1(c_1(c_1(c_0(c_1(c_1(c_1(c_0(c_1(c_0(c_0(c_1(c_1(c_1(c_0(c_0(c_1(c_0(c_0(c_0(c_1(c_0(c_1(c_1(c_1(c_1(c_1(c_0(c_1(c_0(c_0(c_0(c_0(c_0(c_1(c_1(c_1(c_1(c_0(c_1(c_1(c_1(c_1(c_0(c_1(c_1(c_0(c_0(c_0(c_0(c_0(c_1(x1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> 1'(0'(0'(0'(1'(0'(1'(0'(0'(1'(0'(1'(0'(0'(0'(1'(0'(0'(1'(1'(1'(0'(0'(1'(1'(0'(0'(1'(0'(0'(0'(0'(1'(1'(0'(0'(1'(1'(0'(1'(0'(0'(0'(0'(0'(0'(1'(1'(1'(1'(1'(1'(0'(0'(0'(0'(0'(1'(1'(1'(1'(1'(1'(0'(0'(1'(0'(0'(0'(1'(1'(0'(1'(1'(0'(1'(1'(1'(1'(1'(0'(0'(1'(x1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) [1] 0'(c_0(c_0(c_0(c_0(c_1(c_0(c_0(c_1(c_1(c_0(c_1(c_0(c_0(c_0(c_0(c_1(c_1(c_1(c_0(c_0(c_1(c_1(c_1(c_0(c_1(c_1(c_0(c_0(c_0(c_0(c_1(c_0(c_0(c_1(c_1(c_0(c_0(c_1(c_1(c_0(c_0(c_0(c_1(c_1(c_0(c_0(c_1(c_0(c_1(c_1(c_0(c_0(c_0(c_0(c_1(c_0(c_0(c_1(c_0(c_0(c_1(c_1(c_1(c_1(c_0(c_0(c_1(c_0(c_0(c_1(c_1(c_0(c_1(c_0(c_1(c_1(c_1(c_1(c_1(c_0(x1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> 0'(0'(0'(0'(0'(1'(0'(0'(1'(1'(0'(1'(0'(0'(0'(0'(1'(1'(1'(0'(0'(1'(1'(1'(0'(1'(1'(0'(0'(0'(0'(1'(0'(0'(1'(1'(0'(0'(1'(1'(0'(0'(0'(1'(1'(0'(0'(1'(0'(1'(1'(0'(0'(0'(0'(1'(0'(0'(1'(0'(0'(1'(1'(1'(1'(0'(0'(0'(0'(1'(1'(0'(1'(1'(0'(0'(0'(0'(0'(0'(1'(0'(1'(1'(x1)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) [1] encArg(cons_0(x_1)) -> 0'(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] 0'(x0) -> c_0(x0) [0] 1'(x0) -> c_1(x0) [0] The TRS has the following type information: 0' :: c_0: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_1 1' :: c_0:c_1 -> c_0:c_1 encArg :: cons_0:cons_1 -> c_0:c_1 cons_0 :: cons_0:cons_1 -> cons_0:cons_1 cons_1 :: cons_0:cons_1 -> cons_0:cons_1 encode_0 :: cons_0:cons_1 -> c_0:c_1 encode_1 :: cons_0:cons_1 -> c_0:c_1 Rewrite Strategy: INNERMOST ---------------------------------------- (25) 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 0'_1 1'_1 Due to the following rules being added: encArg(v0) -> const [0] encode_0(v0) -> const [0] encode_1(v0) -> const [0] 0'(v0) -> const [0] 1'(v0) -> const [0] And the following fresh constants: const, const1 ---------------------------------------- (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_0(c_1(c_0(c_1(c_1(c_0(c_0(c_0(c_1(c_1(c_1(c_0(c_0(c_1(c_1(c_1(c_0(c_1(c_0(c_0(c_1(c_0(c_0(c_1(c_1(c_0(c_0(c_1(c_1(c_1(c_1(c_0(c_1(c_1(c_1(c_0(c_1(c_0(c_0(c_1(c_1(c_1(c_0(c_0(c_1(c_0(c_0(c_0(c_1(c_0(c_1(c_1(c_1(c_1(c_1(c_0(c_1(c_0(c_0(c_0(c_0(c_0(c_1(c_1(c_1(c_1(c_0(c_1(c_1(c_1(c_1(c_0(c_0(c_1(c_1(c_0(c_1(c_1(c_0(c_0(x1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> 1'(0'(0'(0'(1'(0'(1'(0'(0'(1'(0'(1'(0'(0'(0'(1'(0'(0'(1'(1'(1'(0'(0'(1'(1'(0'(0'(1'(0'(0'(0'(0'(1'(1'(0'(0'(1'(1'(0'(1'(0'(0'(0'(0'(0'(0'(1'(1'(1'(1'(1'(1'(0'(0'(0'(0'(0'(1'(1'(1'(1'(1'(1'(1'(0'(1'(1'(1'(0'(1'(1'(0'(1'(0'(0'(1'(0'(0'(1'(1'(0'(0'(x1)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) [1] 0'(c_0(c_1(c_0(c_1(c_1(c_0(c_0(c_0(c_1(c_1(c_1(c_0(c_0(c_1(c_1(c_1(c_0(c_1(c_0(c_0(c_1(c_0(c_0(c_1(c_1(c_0(c_0(c_1(c_1(c_1(c_1(c_0(c_1(c_1(c_1(c_0(c_1(c_0(c_0(c_1(c_1(c_1(c_0(c_0(c_1(c_0(c_0(c_0(c_0(c_1(c_1(c_1(c_1(c_1(c_1(c_1(c_1(c_1(c_1(c_0(c_0(c_1(c_0(c_0(c_1(c_0(c_0(c_1(c_1(c_0(c_1(c_0(c_0(c_1(c_1(c_1(c_1(c_0(c_1(c_0(x1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> 0'(0'(0'(0'(0'(1'(0'(0'(1'(1'(0'(1'(0'(0'(0'(0'(1'(1'(1'(0'(0'(1'(1'(1'(0'(1'(1'(0'(0'(0'(0'(1'(0'(0'(1'(1'(0'(0'(1'(1'(0'(0'(0'(1'(1'(0'(0'(1'(0'(1'(1'(0'(0'(0'(0'(1'(0'(0'(1'(0'(0'(1'(1'(1'(1'(0'(0'(1'(1'(0'(0'(1'(0'(0'(1'(1'(1'(1'(0'(0'(1'(0'(x1)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) [1] 0'(c_0(c_1(c_0(c_1(c_1(c_0(c_0(c_0(c_1(c_1(c_1(c_0(c_0(c_1(c_1(c_1(c_0(c_1(c_0(c_0(c_1(c_0(c_0(c_1(c_1(c_0(c_0(c_1(c_1(c_1(c_1(c_0(c_1(c_1(c_1(c_0(c_1(c_0(c_0(c_1(c_1(c_1(c_0(c_0(c_1(c_0(c_0(c_0(c_1(c_0(c_1(c_1(c_1(c_1(c_1(c_0(c_1(c_0(c_0(c_0(c_0(c_0(c_1(c_1(c_1(c_1(c_0(c_1(c_1(c_1(c_1(c_0(c_0(c_1(c_1(c_1(c_1(c_0(c_1(c_1(x1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> 1'(0'(0'(0'(1'(0'(1'(0'(0'(1'(0'(1'(0'(0'(0'(1'(0'(0'(1'(1'(1'(0'(0'(1'(1'(0'(0'(1'(0'(0'(0'(0'(1'(1'(0'(0'(1'(1'(0'(1'(0'(0'(0'(0'(0'(0'(1'(1'(1'(1'(1'(1'(0'(0'(0'(0'(0'(1'(1'(1'(1'(1'(1'(1'(0'(1'(1'(1'(0'(1'(1'(0'(1'(0'(0'(1'(0'(0'(1'(0'(0'(0'(1'(x1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) [1] 0'(c_0(c_1(c_0(c_1(c_1(c_0(c_0(c_0(c_1(c_1(c_1(c_0(c_0(c_1(c_1(c_1(c_0(c_1(c_0(c_0(c_1(c_0(c_0(c_1(c_1(c_0(c_0(c_1(c_1(c_1(c_1(c_0(c_1(c_1(c_1(c_0(c_1(c_0(c_0(c_1(c_1(c_1(c_0(c_0(c_1(c_0(c_0(c_0(c_1(c_0(c_1(c_1(c_1(c_1(c_1(c_0(c_1(c_0(c_0(c_0(c_0(c_0(c_1(c_1(c_1(c_1(c_0(c_1(c_1(c_1(c_1(c_0(c_0(c_1(c_1(c_1(c_0(c_1(c_0(c_1(x1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> 0'(0'(0'(0'(0'(1'(0'(0'(1'(1'(0'(1'(0'(0'(0'(0'(1'(1'(1'(0'(0'(1'(1'(1'(0'(1'(1'(0'(0'(0'(0'(1'(0'(0'(1'(1'(0'(0'(1'(1'(0'(0'(0'(1'(1'(0'(0'(1'(0'(1'(0'(1'(1'(1'(1'(0'(0'(1'(1'(1'(1'(0'(0'(0'(0'(0'(0'(0'(0'(1'(1'(1'(0'(0'(1'(1'(1'(0'(1'(1'(1'(0'(x1)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) [1] 1'(c_0(c_0(c_0(c_1(c_0(c_1(c_0(c_0(c_1(c_0(c_1(c_0(c_0(c_0(c_1(c_0(c_0(c_1(c_1(c_1(c_0(c_0(c_1(c_1(c_0(c_0(c_1(c_0(c_0(c_0(c_0(c_1(c_1(c_0(c_0(c_0(c_1(c_0(c_1(c_1(c_1(c_0(c_1(c_0(c_0(c_0(c_0(c_0(c_1(c_0(c_1(c_1(c_1(c_0(c_1(c_1(c_1(c_1(c_0(c_1(c_0(c_1(c_1(c_0(c_0(c_0(c_0(c_1(c_0(c_1(c_1(c_1(c_0(c_1(c_1(c_1(c_1(c_0(c_0(c_0(x1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> 0'(0'(0'(0'(0'(1'(0'(0'(1'(1'(0'(1'(0'(0'(0'(0'(1'(1'(1'(0'(0'(1'(1'(1'(0'(1'(1'(0'(0'(0'(0'(1'(0'(0'(1'(1'(0'(0'(1'(1'(0'(0'(0'(1'(1'(0'(0'(1'(0'(1'(0'(1'(1'(1'(1'(0'(0'(0'(1'(0'(0'(1'(1'(1'(0'(1'(0'(0'(1'(0'(0'(0'(0'(1'(0'(0'(0'(0'(0'(0'(0'(0'(x1)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) [1] 0'(c_0(c_1(c_0(c_1(c_1(c_0(c_0(c_0(c_1(c_1(c_1(c_0(c_0(c_1(c_1(c_1(c_0(c_1(c_0(c_0(c_1(c_0(c_0(c_1(c_1(c_0(c_0(c_1(c_1(c_1(c_1(c_0(c_1(c_1(c_1(c_0(c_1(c_0(c_0(c_1(c_1(c_1(c_0(c_0(c_1(c_0(c_0(c_0(c_1(c_0(c_1(c_1(c_1(c_1(c_1(c_0(c_1(c_0(c_0(c_0(c_0(c_0(c_1(c_1(c_1(c_1(c_0(c_1(c_1(c_1(c_1(c_0(c_1(c_1(c_0(c_1(c_0(c_1(c_0(c_1(x1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> 1'(1'(0'(1'(1'(0'(0'(1'(0'(1'(1'(1'(1'(0'(0'(0'(0'(0'(1'(1'(0'(0'(1'(0'(0'(1'(1'(0'(0'(0'(1'(0'(0'(0'(0'(1'(0'(0'(1'(0'(1'(1'(0'(1'(0'(0'(0'(0'(1'(1'(1'(1'(1'(1'(1'(0'(0'(1'(1'(1'(1'(1'(1'(0'(0'(0'(1'(0'(0'(0'(1'(0'(1'(0'(1'(1'(1'(0'(0'(0'(0'(0'(1'(1'(1'(1'(x1)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) [1] 0'(c_0(c_1(c_0(c_1(c_1(c_0(c_0(c_0(c_1(c_1(c_1(c_0(c_0(c_1(c_1(c_1(c_0(c_1(c_0(c_0(c_1(c_0(c_0(c_1(c_1(c_0(c_0(c_1(c_1(c_1(c_1(c_0(c_1(c_1(c_1(c_0(c_1(c_0(c_0(c_1(c_0(c_0(c_0(c_1(c_1(c_1(c_1(c_1(c_0(c_1(c_0(c_0(c_0(c_0(c_0(c_0(c_1(c_1(c_1(c_0(c_1(c_0(c_0(c_0(c_0(c_0(c_1(c_0(c_1(c_1(c_1(c_1(c_1(c_0(c_0(c_1(c_0(c_0(c_1(c_1(x1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> 0'(0'(0'(0'(0'(1'(0'(0'(1'(1'(0'(1'(0'(0'(0'(0'(1'(1'(1'(0'(0'(1'(1'(1'(0'(1'(1'(0'(0'(0'(0'(1'(0'(0'(1'(1'(0'(0'(1'(1'(0'(0'(0'(1'(1'(0'(0'(1'(0'(1'(0'(1'(1'(1'(1'(0'(0'(1'(1'(1'(1'(0'(0'(0'(0'(0'(0'(0'(0'(1'(1'(1'(0'(0'(1'(1'(1'(0'(1'(1'(1'(0'(x1)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) [1] 0'(c_0(c_1(c_0(c_1(c_1(c_0(c_0(c_0(c_1(c_1(c_1(c_0(c_0(c_1(c_1(c_1(c_0(c_1(c_0(c_0(c_1(c_0(c_0(c_1(c_1(c_0(c_0(c_1(c_1(c_1(c_1(c_0(c_1(c_1(c_1(c_0(c_1(c_0(c_0(c_1(c_0(c_0(c_0(c_1(c_1(c_1(c_1(c_1(c_0(c_1(c_0(c_0(c_0(c_0(c_0(c_0(c_1(c_1(c_1(c_0(c_1(c_0(c_0(c_0(c_0(c_0(c_1(c_0(c_1(c_1(c_1(c_1(c_1(c_0(c_0(c_1(c_0(c_0(c_1(c_1(x1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> 0'(0'(0'(0'(0'(1'(0'(0'(1'(1'(0'(1'(0'(0'(0'(0'(1'(1'(1'(0'(0'(1'(1'(1'(0'(1'(1'(0'(0'(0'(0'(1'(0'(0'(1'(1'(0'(0'(1'(1'(0'(0'(0'(1'(1'(0'(0'(1'(0'(1'(0'(1'(1'(1'(1'(0'(0'(1'(1'(1'(1'(0'(0'(0'(0'(0'(0'(0'(0'(1'(1'(1'(1'(1'(1'(0'(1'(0'(0'(0'(0'(0'(1'(1'(x1)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) [1] 0'(c_0(c_1(c_0(c_1(c_1(c_0(c_0(c_0(c_1(c_1(c_1(c_0(c_0(c_1(c_1(c_1(c_0(c_1(c_0(c_0(c_1(c_0(c_0(c_1(c_1(c_0(c_0(c_1(c_1(c_1(c_1(c_0(c_1(c_1(c_1(c_0(c_1(c_0(c_0(c_1(c_1(c_1(c_0(c_0(c_1(c_0(c_0(c_0(c_1(c_0(c_1(c_1(c_1(c_1(c_1(c_0(c_1(c_0(c_0(c_0(c_0(c_0(c_1(c_1(c_1(c_1(c_0(c_1(c_1(c_1(c_1(c_0(c_1(c_1(c_0(c_1(c_0(c_1(c_1(c_0(x1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> 0'(0'(0'(0'(0'(1'(0'(0'(1'(1'(0'(1'(0'(0'(0'(0'(1'(1'(1'(0'(0'(1'(1'(1'(0'(1'(1'(0'(0'(0'(0'(1'(0'(0'(1'(1'(0'(0'(1'(1'(0'(0'(0'(1'(1'(0'(0'(1'(0'(1'(1'(0'(0'(0'(0'(1'(0'(0'(1'(0'(0'(1'(1'(1'(1'(0'(0'(1'(0'(1'(1'(0'(1'(1'(0'(1'(0'(1'(1'(0'(0'(0'(x1)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) [1] 1'(c_0(c_0(c_1(c_1(c_1(c_1(c_0(c_1(c_0(c_1(c_0(c_1(c_0(c_1(c_0(c_1(c_1(c_0(c_1(c_1(c_1(c_1(c_0(c_1(c_0(c_1(c_0(c_1(c_1(c_1(c_1(c_0(c_0(c_1(c_1(c_0(c_0(c_0(c_0(c_0(c_0(c_1(c_1(c_1(c_0(c_0(c_1(c_1(c_0(c_0(c_1(c_1(c_0(c_0(c_1(c_1(c_1(c_0(c_1(c_1(c_0(c_1(c_0(c_0(c_0(c_1(c_1(c_0(c_1(c_1(c_1(c_1(c_0(c_0(c_1(c_1(c_0(c_0(c_1(c_1(x1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> 0'(0'(1'(0'(1'(1'(0'(0'(0'(1'(1'(1'(0'(0'(1'(1'(1'(0'(1'(0'(0'(1'(0'(0'(1'(1'(0'(0'(1'(1'(1'(1'(0'(1'(1'(1'(0'(1'(0'(0'(1'(1'(1'(0'(0'(1'(0'(0'(0'(1'(0'(1'(1'(1'(1'(1'(0'(1'(0'(0'(0'(0'(0'(1'(1'(1'(1'(0'(1'(1'(1'(1'(0'(1'(1'(0'(0'(0'(0'(0'(1'(0'(x1)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) [1] 0'(c_0(c_1(c_0(c_1(c_1(c_0(c_0(c_0(c_1(c_1(c_1(c_0(c_0(c_1(c_1(c_1(c_0(c_1(c_0(c_0(c_1(c_0(c_0(c_1(c_1(c_0(c_0(c_1(c_1(c_1(c_1(c_0(c_1(c_1(c_1(c_0(c_1(c_0(c_0(c_1(c_1(c_1(c_0(c_0(c_1(c_0(c_0(c_0(c_1(c_0(c_1(c_1(c_1(c_1(c_1(c_0(c_1(c_0(c_0(c_0(c_0(c_0(c_1(c_1(c_1(c_1(c_0(c_1(c_1(c_1(c_1(c_0(c_1(c_1(c_0(c_1(c_1(c_0(c_1(c_0(x1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> 1'(0'(0'(0'(1'(0'(1'(0'(0'(1'(0'(1'(0'(0'(0'(1'(0'(0'(1'(1'(1'(0'(0'(1'(1'(0'(0'(1'(0'(0'(0'(0'(1'(1'(0'(0'(1'(1'(0'(1'(0'(0'(0'(0'(0'(0'(1'(1'(1'(1'(1'(1'(0'(0'(0'(0'(0'(1'(1'(1'(1'(1'(1'(1'(0'(1'(1'(1'(0'(1'(1'(0'(0'(1'(1'(0'(0'(0'(0'(0'(0'(0'(x1)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) [1] 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0'(c_0(c_1(c_0(c_1(c_1(c_0(c_0(c_0(c_1(c_1(c_1(c_0(c_0(c_1(c_1(c_1(c_0(c_1(c_0(c_0(c_1(c_0(c_0(c_1(c_1(c_0(c_0(c_1(c_1(c_1(c_1(c_0(c_1(c_1(c_1(c_0(c_1(c_0(c_0(c_1(c_0(c_0(c_0(c_1(c_1(c_1(c_1(c_1(c_0(c_1(c_0(c_0(c_0(c_0(c_0(c_0(c_1(c_1(c_1(c_0(c_1(c_0(c_0(c_0(c_0(c_0(c_1(c_0(c_1(c_1(c_1(c_1(c_1(c_0(c_0(c_1(c_0(c_0(c_1(c_1(x1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> 0'(0'(0'(0'(0'(1'(0'(0'(1'(1'(0'(1'(0'(0'(0'(0'(1'(1'(1'(0'(0'(1'(1'(1'(0'(1'(1'(0'(0'(0'(0'(1'(0'(0'(1'(1'(0'(0'(1'(1'(0'(0'(0'(1'(1'(0'(0'(1'(0'(1'(1'(0'(0'(0'(0'(1'(0'(0'(1'(0'(0'(1'(1'(1'(1'(0'(0'(1'(0'(1'(1'(0'(1'(1'(0'(1'(0'(1'(1'(0'(0'(0'(x1)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) [1] 0'(c_0(c_1(c_0(c_1(c_1(c_0(c_0(c_0(c_1(c_1(c_1(c_0(c_0(c_1(c_1(c_1(c_0(c_1(c_0(c_0(c_1(c_0(c_0(c_1(c_1(c_0(c_0(c_1(c_1(c_1(c_1(c_0(c_1(c_1(c_1(c_0(c_1(c_0(c_0(c_1(c_1(c_1(c_0(c_0(c_1(c_0(c_0(c_0(c_1(c_0(c_1(c_1(c_1(c_1(c_1(c_0(c_1(c_0(c_0(c_0(c_0(c_0(c_1(c_1(c_1(c_1(c_0(c_1(c_1(c_1(c_1(c_0(c_1(c_1(c_0(c_1(c_0(c_1(c_1(c_0(x1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> 1'(0'(0'(0'(1'(0'(1'(0'(0'(1'(0'(1'(0'(0'(0'(1'(0'(0'(1'(1'(1'(0'(0'(1'(1'(0'(0'(1'(0'(0'(0'(0'(1'(1'(0'(0'(1'(1'(0'(1'(0'(0'(0'(0'(0'(0'(1'(1'(1'(1'(1'(1'(0'(0'(0'(0'(0'(1'(1'(1'(1'(1'(1'(1'(0'(1'(1'(1'(0'(1'(1'(0'(1'(0'(0'(1'(0'(0'(1'(0'(1'(0'(1'(1'(x1)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) [1] 0'(c_0(c_1(c_0(c_1(c_1(c_0(c_0(c_0(c_1(c_1(c_1(c_0(c_0(c_1(c_1(c_1(c_0(c_1(c_0(c_0(c_1(c_0(c_0(c_1(c_1(c_0(c_0(c_1(c_1(c_1(c_1(c_0(c_1(c_1(c_1(c_0(c_1(c_0(c_0(c_1(c_0(c_0(c_0(c_1(c_1(c_1(c_1(c_1(c_0(c_1(c_0(c_0(c_0(c_0(c_0(c_0(c_1(c_1(c_1(c_0(c_1(c_0(c_0(c_0(c_0(c_0(c_1(c_0(c_1(c_1(c_1(c_1(c_1(c_0(c_0(c_1(c_0(c_0(c_1(c_0(x1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> 0'(0'(0'(0'(0'(1'(0'(0'(1'(1'(0'(1'(0'(0'(0'(0'(1'(1'(1'(0'(0'(1'(1'(1'(0'(1'(1'(0'(0'(0'(0'(1'(0'(0'(1'(1'(0'(0'(1'(1'(0'(0'(0'(1'(1'(0'(0'(1'(0'(1'(0'(1'(1'(1'(1'(0'(0'(1'(1'(1'(1'(0'(0'(0'(1'(1'(1'(0'(0'(1'(1'(0'(0'(1'(0'(0'(0'(0'(1'(0'(0'(0'(1'(x1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) [1] 1'(c_0(c_0(c_1(c_1(c_1(c_1(c_0(c_1(c_0(c_1(c_0(c_1(c_0(c_1(c_0(c_1(c_1(c_0(c_1(c_1(c_1(c_1(c_0(c_1(c_0(c_1(c_0(c_1(c_1(c_1(c_1(c_0(c_0(c_1(c_1(c_0(c_0(c_0(c_0(c_0(c_0(c_1(c_1(c_1(c_0(c_0(c_1(c_1(c_0(c_0(c_1(c_1(c_0(c_0(c_1(c_1(c_1(c_0(c_1(c_1(c_0(c_1(c_0(c_0(c_0(c_1(c_1(c_0(c_1(c_1(c_1(c_1(c_0(c_0(c_1(c_1(c_0(c_0(c_1(c_1(x1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> 0'(0'(1'(0'(1'(1'(0'(0'(0'(1'(1'(1'(0'(0'(1'(1'(1'(0'(1'(0'(0'(1'(0'(0'(1'(1'(0'(0'(1'(1'(1'(1'(0'(1'(1'(1'(0'(1'(0'(0'(1'(0'(0'(0'(1'(1'(1'(1'(1'(0'(1'(0'(0'(0'(0'(0'(0'(1'(1'(1'(0'(1'(0'(0'(0'(0'(0'(1'(0'(1'(1'(1'(1'(1'(0'(0'(1'(0'(0'(0'(0'(0'(x1)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) [1] 0'(c_0(c_1(c_0(c_1(c_1(c_0(c_0(c_0(c_1(c_1(c_1(c_0(c_0(c_1(c_1(c_1(c_0(c_1(c_0(c_0(c_1(c_0(c_0(c_1(c_1(c_0(c_0(c_1(c_1(c_1(c_1(c_0(c_1(c_1(c_1(c_0(c_1(c_0(c_0(c_1(c_1(c_1(c_0(c_0(c_1(c_0(c_0(c_0(c_1(c_0(c_1(c_1(c_1(c_1(c_1(c_0(c_1(c_0(c_0(c_0(c_0(c_0(c_1(c_1(c_1(c_1(c_0(c_1(c_1(c_1(c_1(c_0(c_1(c_1(c_0(c_0(c_0(c_1(c_1(c_1(x1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> 0'(0'(0'(0'(0'(1'(0'(0'(1'(1'(0'(1'(0'(0'(0'(0'(1'(1'(1'(0'(0'(1'(1'(1'(0'(1'(1'(0'(0'(0'(0'(1'(0'(0'(1'(1'(0'(0'(1'(1'(0'(0'(0'(1'(1'(0'(0'(1'(0'(1'(1'(0'(0'(0'(0'(1'(0'(0'(1'(0'(0'(1'(1'(1'(1'(0'(0'(1'(1'(0'(0'(1'(0'(0'(1'(1'(1'(1'(0'(0'(0'(0'(1'(1'(1'(x1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) [1] 1'(c_0(c_0(c_1(c_1(c_1(c_1(c_0(c_1(c_0(c_1(c_0(c_1(c_0(c_1(c_0(c_1(c_1(c_0(c_1(c_1(c_1(c_1(c_0(c_1(c_0(c_1(c_0(c_1(c_1(c_1(c_1(c_0(c_0(c_1(c_1(c_0(c_0(c_0(c_0(c_0(c_0(c_1(c_1(c_1(c_0(c_0(c_1(c_1(c_0(c_0(c_1(c_1(c_0(c_0(c_1(c_1(c_1(c_0(c_1(c_1(c_0(c_1(c_1(c_0(c_0(c_1(c_1(c_1(c_0(c_0(c_0(c_1(c_1(c_0(c_0(c_1(c_1(c_0(c_0(c_0(x1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> 1'(0'(0'(0'(1'(0'(1'(0'(0'(1'(0'(1'(0'(0'(0'(1'(0'(0'(1'(1'(1'(0'(0'(1'(1'(0'(0'(1'(0'(0'(0'(0'(1'(1'(0'(0'(1'(1'(0'(1'(0'(0'(0'(0'(0'(0'(1'(1'(1'(1'(1'(1'(0'(0'(0'(0'(0'(1'(1'(1'(1'(1'(1'(1'(0'(1'(1'(1'(0'(1'(1'(0'(0'(1'(1'(0'(0'(0'(0'(0'(0'(0'(x1)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) [1] 0'(c_0(c_1(c_0(c_1(c_1(c_0(c_0(c_0(c_1(c_1(c_1(c_0(c_0(c_1(c_1(c_1(c_0(c_1(c_0(c_0(c_1(c_0(c_0(c_1(c_1(c_0(c_0(c_1(c_1(c_1(c_1(c_0(c_1(c_1(c_1(c_0(c_1(c_0(c_0(c_1(c_1(c_1(c_0(c_0(c_1(c_0(c_0(c_0(c_1(c_0(c_1(c_1(c_1(c_1(c_1(c_0(c_1(c_0(c_0(c_0(c_0(c_0(c_1(c_1(c_1(c_1(c_0(c_1(c_1(c_1(c_1(c_0(c_1(c_1(c_0(c_1(c_0(c_1(c_1(c_0(x1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> 1'(1'(0'(1'(1'(0'(0'(1'(0'(1'(1'(1'(1'(0'(0'(0'(0'(0'(1'(1'(0'(0'(1'(0'(0'(1'(1'(0'(0'(0'(1'(0'(0'(0'(0'(1'(0'(0'(1'(0'(1'(1'(0'(1'(0'(0'(0'(0'(1'(1'(1'(1'(1'(1'(1'(0'(0'(1'(1'(1'(1'(1'(1'(0'(0'(0'(1'(0'(0'(0'(1'(0'(1'(0'(1'(1'(1'(0'(0'(0'(0'(0'(x1)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) [1] 0'(c_0(c_1(c_0(c_1(c_1(c_0(c_0(c_0(c_1(c_1(c_1(c_0(c_0(c_1(c_1(c_1(c_0(c_1(c_0(c_0(c_1(c_0(c_0(c_1(c_1(c_0(c_0(c_1(c_1(c_1(c_1(c_0(c_1(c_1(c_1(c_0(c_1(c_0(c_0(c_1(c_1(c_1(c_0(c_0(c_1(c_0(c_0(c_0(c_1(c_0(c_1(c_1(c_1(c_1(c_1(c_0(c_1(c_0(c_0(c_0(c_0(c_0(c_1(c_1(c_1(c_1(c_0(c_1(c_1(c_1(c_1(c_0(c_1(c_1(c_0(c_0(c_0(c_0(c_0(c_1(x1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> 1'(0'(0'(0'(1'(0'(1'(0'(0'(1'(0'(1'(0'(0'(0'(1'(0'(0'(1'(1'(1'(0'(0'(1'(1'(0'(0'(1'(0'(0'(0'(0'(1'(1'(0'(0'(1'(1'(0'(1'(0'(0'(0'(0'(0'(0'(1'(1'(1'(1'(1'(1'(0'(0'(0'(0'(0'(1'(1'(1'(1'(1'(1'(0'(0'(1'(0'(0'(0'(1'(1'(0'(1'(1'(0'(1'(1'(1'(1'(1'(0'(0'(1'(x1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) [1] 0'(c_0(c_0(c_0(c_0(c_1(c_0(c_0(c_1(c_1(c_0(c_1(c_0(c_0(c_0(c_0(c_1(c_1(c_1(c_0(c_0(c_1(c_1(c_1(c_0(c_1(c_1(c_0(c_0(c_0(c_0(c_1(c_0(c_0(c_1(c_1(c_0(c_0(c_1(c_1(c_0(c_0(c_0(c_1(c_1(c_0(c_0(c_1(c_0(c_1(c_1(c_0(c_0(c_0(c_0(c_1(c_0(c_0(c_1(c_0(c_0(c_1(c_1(c_1(c_1(c_0(c_0(c_1(c_0(c_0(c_1(c_1(c_0(c_1(c_0(c_1(c_1(c_1(c_1(c_1(c_0(x1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> 0'(0'(0'(0'(0'(1'(0'(0'(1'(1'(0'(1'(0'(0'(0'(0'(1'(1'(1'(0'(0'(1'(1'(1'(0'(1'(1'(0'(0'(0'(0'(1'(0'(0'(1'(1'(0'(0'(1'(1'(0'(0'(0'(1'(1'(0'(0'(1'(0'(1'(1'(0'(0'(0'(0'(1'(0'(0'(1'(0'(0'(1'(1'(1'(1'(0'(0'(0'(0'(1'(1'(0'(1'(1'(0'(0'(0'(0'(0'(0'(1'(0'(1'(1'(x1)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) [1] encArg(cons_0(x_1)) -> 0'(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] 0'(x0) -> c_0(x0) [0] 1'(x0) -> c_1(x0) [0] encArg(v0) -> const [0] encode_0(v0) -> const [0] encode_1(v0) -> const [0] 0'(v0) -> const [0] 1'(v0) -> const [0] The TRS has the following type information: 0' :: c_0:c_1:const -> c_0:c_1:const c_0 :: c_0:c_1:const -> c_0:c_1:const c_1 :: c_0:c_1:const -> c_0:c_1:const 1' :: c_0:c_1:const -> c_0:c_1:const encArg :: cons_0:cons_1 -> c_0:c_1:const cons_0 :: cons_0:cons_1 -> cons_0:cons_1 cons_1 :: cons_0:cons_1 -> cons_0:cons_1 encode_0 :: cons_0:cons_1 -> c_0:c_1:const encode_1 :: cons_0:cons_1 -> c_0:c_1:const const :: c_0:c_1:const const1 :: cons_0:cons_1 Rewrite Strategy: INNERMOST ---------------------------------------- (27) NarrowingProof (BOTH BOUNDS(ID, ID)) Narrowed the inner basic terms of all right-hand sides by a single narrowing step. ---------------------------------------- (28) Obligation: Runtime Complexity Weighted TRS where critical functions are completely defined. The underlying TRS is: Runtime Complexity Weighted TRS with Types. The TRS R consists of the following rules: 0'(c_0(c_1(c_0(c_1(c_1(c_0(c_0(c_0(c_1(c_1(c_1(c_0(c_0(c_1(c_1(c_1(c_0(c_1(c_0(c_0(c_1(c_0(c_0(c_1(c_1(c_0(c_0(c_1(c_1(c_1(c_1(c_0(c_1(c_1(c_1(c_0(c_1(c_0(c_0(c_1(c_1(c_1(c_0(c_0(c_1(c_0(c_0(c_0(c_1(c_0(c_1(c_1(c_1(c_1(c_1(c_0(c_1(c_0(c_0(c_0(c_0(c_0(c_1(c_1(c_1(c_1(c_0(c_1(c_1(c_1(c_1(c_0(c_0(c_1(c_1(c_0(c_1(c_1(c_0(c_0(x1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> 1'(0'(0'(0'(1'(0'(1'(0'(0'(1'(0'(1'(0'(0'(0'(1'(0'(0'(1'(1'(1'(0'(0'(1'(1'(0'(0'(1'(0'(0'(0'(0'(1'(1'(0'(0'(1'(1'(0'(1'(0'(0'(0'(0'(0'(0'(1'(1'(1'(1'(1'(1'(0'(0'(0'(0'(0'(1'(1'(1'(1'(1'(1'(1'(0'(1'(1'(1'(0'(1'(1'(0'(1'(0'(0'(1'(0'(0'(1'(1'(0'(0'(x1)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) [1] 0'(c_0(c_1(c_0(c_1(c_1(c_0(c_0(c_0(c_1(c_1(c_1(c_0(c_0(c_1(c_1(c_1(c_0(c_1(c_0(c_0(c_1(c_0(c_0(c_1(c_1(c_0(c_0(c_1(c_1(c_1(c_1(c_0(c_1(c_1(c_1(c_0(c_1(c_0(c_0(c_1(c_1(c_1(c_0(c_0(c_1(c_0(c_0(c_0(c_0(c_1(c_1(c_1(c_1(c_1(c_1(c_1(c_1(c_1(c_1(c_0(c_0(c_1(c_0(c_0(c_1(c_0(c_0(c_1(c_1(c_0(c_1(c_0(c_0(c_1(c_1(c_1(c_1(c_0(c_1(c_0(x1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> 0'(0'(0'(0'(0'(1'(0'(0'(1'(1'(0'(1'(0'(0'(0'(0'(1'(1'(1'(0'(0'(1'(1'(1'(0'(1'(1'(0'(0'(0'(0'(1'(0'(0'(1'(1'(0'(0'(1'(1'(0'(0'(0'(1'(1'(0'(0'(1'(0'(1'(1'(0'(0'(0'(0'(1'(0'(0'(1'(0'(0'(1'(1'(1'(1'(0'(0'(1'(1'(0'(0'(1'(0'(0'(1'(1'(1'(1'(0'(0'(1'(0'(x1)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) [1] 0'(c_0(c_1(c_0(c_1(c_1(c_0(c_0(c_0(c_1(c_1(c_1(c_0(c_0(c_1(c_1(c_1(c_0(c_1(c_0(c_0(c_1(c_0(c_0(c_1(c_1(c_0(c_0(c_1(c_1(c_1(c_1(c_0(c_1(c_1(c_1(c_0(c_1(c_0(c_0(c_1(c_1(c_1(c_0(c_0(c_1(c_0(c_0(c_0(c_1(c_0(c_1(c_1(c_1(c_1(c_1(c_0(c_1(c_0(c_0(c_0(c_0(c_0(c_1(c_1(c_1(c_1(c_0(c_1(c_1(c_1(c_1(c_0(c_0(c_1(c_1(c_1(c_1(c_0(c_1(c_1(c_0(c_0(c_0(c_1(c_0(c_1(c_0(c_0(c_1(c_0(c_1(c_0(c_0(c_0(c_1(c_0(c_0(c_1(c_1(c_1(c_0(c_0(c_1(c_1(c_0(c_0(c_1(c_0(c_0(c_0(c_0(c_1(c_1(c_0(c_0(c_0(c_1(c_0(c_1(c_1(c_1(c_0(c_1(c_0(c_0(c_0(c_0(c_0(c_1(c_0(c_1(c_1(c_1(c_0(c_1(c_1(c_1(c_1(c_0(c_1(c_0(c_1(c_1(c_0(c_0(c_0(c_0(c_1(c_0(c_1(c_1(c_1(c_0(c_1(c_1(c_1(c_1(c_0(c_0(c_0(x147))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> 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0'(c_0(c_0(c_0(c_0(c_1(c_0(c_0(c_1(c_1(c_0(c_1(c_0(c_0(c_0(c_0(c_1(c_1(c_1(c_0(c_0(c_1(c_1(c_1(c_0(c_1(c_1(c_0(c_0(c_0(c_0(c_1(c_0(c_0(c_1(c_1(c_0(c_0(c_1(c_1(c_0(c_0(c_0(c_1(c_1(c_0(c_0(c_1(c_0(c_1(c_1(c_0(c_0(c_0(c_0(c_1(c_0(c_0(c_1(c_0(c_0(c_1(c_1(c_1(c_1(c_0(c_0(c_1(c_0(c_0(c_1(c_1(c_0(c_1(c_0(c_1(c_1(c_1(c_1(c_1(c_0(x1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> 0'(0'(0'(0'(0'(1'(0'(0'(1'(1'(0'(1'(0'(0'(0'(0'(1'(1'(1'(0'(0'(1'(1'(1'(0'(1'(1'(0'(0'(0'(0'(1'(0'(0'(1'(1'(0'(0'(1'(1'(0'(0'(0'(1'(1'(0'(0'(1'(0'(1'(1'(0'(0'(0'(0'(1'(0'(0'(1'(0'(0'(1'(1'(1'(1'(0'(0'(0'(0'(1'(1'(0'(1'(1'(0'(0'(0'(0'(0'(0'(1'(0'(1'(c_1(x1)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) [1] 0'(c_0(c_0(c_0(c_0(c_1(c_0(c_0(c_1(c_1(c_0(c_1(c_0(c_0(c_0(c_0(c_1(c_1(c_1(c_0(c_0(c_1(c_1(c_1(c_0(c_1(c_1(c_0(c_0(c_0(c_0(c_1(c_0(c_0(c_1(c_1(c_0(c_0(c_1(c_1(c_0(c_0(c_0(c_1(c_1(c_0(c_0(c_1(c_0(c_1(c_1(c_0(c_0(c_0(c_0(c_1(c_0(c_0(c_1(c_0(c_0(c_1(c_1(c_1(c_1(c_0(c_0(c_1(c_0(c_0(c_1(c_1(c_0(c_1(c_0(c_1(c_1(c_1(c_1(c_1(c_0(x1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> 0'(0'(0'(0'(0'(1'(0'(0'(1'(1'(0'(1'(0'(0'(0'(0'(1'(1'(1'(0'(0'(1'(1'(1'(0'(1'(1'(0'(0'(0'(0'(1'(0'(0'(1'(1'(0'(0'(1'(1'(0'(0'(0'(1'(1'(0'(0'(1'(0'(1'(1'(0'(0'(0'(0'(1'(0'(0'(1'(0'(0'(1'(1'(1'(1'(0'(0'(0'(0'(1'(1'(0'(1'(1'(0'(0'(0'(0'(0'(0'(1'(0'(1'(const))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) [1] encArg(cons_0(cons_0(x_1'))) -> 0'(0'(encArg(x_1'))) [0] encArg(cons_0(cons_1(x_1''))) -> 0'(1'(encArg(x_1''))) [0] encArg(cons_0(x_1)) -> 0'(const) [0] encArg(cons_1(cons_0(x_11))) -> 1'(0'(encArg(x_11))) [0] encArg(cons_1(cons_1(x_12))) -> 1'(1'(encArg(x_12))) [0] encArg(cons_1(x_1)) -> 1'(const) [0] encode_0(cons_0(x_13)) -> 0'(0'(encArg(x_13))) [0] encode_0(cons_1(x_14)) -> 0'(1'(encArg(x_14))) [0] encode_0(x_1) -> 0'(const) [0] encode_1(cons_0(x_15)) -> 1'(0'(encArg(x_15))) [0] encode_1(cons_1(x_16)) -> 1'(1'(encArg(x_16))) [0] encode_1(x_1) -> 1'(const) [0] 0'(x0) -> c_0(x0) [0] 1'(x0) -> c_1(x0) [0] encArg(v0) -> const [0] encode_0(v0) -> const [0] encode_1(v0) -> const [0] 0'(v0) -> const [0] 1'(v0) -> const [0] The TRS has the following type information: 0' :: c_0:c_1:const -> c_0:c_1:const c_0 :: c_0:c_1:const -> c_0:c_1:const c_1 :: c_0:c_1:const -> c_0:c_1:const 1' :: c_0:c_1:const -> c_0:c_1:const encArg :: cons_0:cons_1 -> c_0:c_1:const cons_0 :: cons_0:cons_1 -> cons_0:cons_1 cons_1 :: cons_0:cons_1 -> cons_0:cons_1 encode_0 :: cons_0:cons_1 -> c_0:c_1:const encode_1 :: cons_0:cons_1 -> c_0:c_1:const const :: c_0:c_1:const const1 :: cons_0:cons_1 Rewrite Strategy: INNERMOST ---------------------------------------- (29) 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 ---------------------------------------- (30) Obligation: Complexity RNTS consisting of the following rules: 0'(z) -{ 1 }-> 1'(1'(0'(1'(1'(0'(0'(1'(0'(1'(1'(1'(1'(0'(0'(0'(0'(0'(1'(1'(0'(0'(1'(0'(0'(1'(1'(0'(0'(0'(1'(0'(0'(0'(0'(1'(0'(0'(1'(0'(1'(1'(0'(1'(0'(0'(0'(0'(1'(1'(1'(1'(1'(1'(1'(0'(0'(1'(1'(1'(1'(1'(1'(0'(0'(0'(1'(0'(0'(0'(1'(0'(1'(0'(1'(1'(1'(0'(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 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (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) -{ 2 }-> 1'(1'(0'(1'(1'(0'(0'(1'(0'(1'(1'(1'(1'(0'(0'(0'(0'(0'(1'(1'(0'(0'(1'(0'(0'(1'(1'(0'(0'(0'(1'(0'(0'(0'(0'(1'(0'(0'(1'(0'(1'(1'(0'(1'(0'(0'(0'(0'(1'(1'(1'(1'(1'(1'(1'(0'(0'(1'(1'(1'(1'(1'(1'(0'(0'(0'(1'(0'(0'(0'(1'(0'(1'(0'(1'(1'(1'(0'(0'(0'(0'(0'(1'(1'(1'(1'(1'(0'(1'(1'(0'(0'(1'(0'(1'(1'(1'(1'(0'(0'(0'(0'(0'(1'(1'(0'(0'(1'(0'(0'(1'(1'(0'(0'(0'(1'(0'(0'(0'(0'(1'(0'(0'(1'(0'(1'(1'(0'(1'(0'(0'(0'(0'(1'(1'(1'(1'(1'(1'(1'(0'(0'(1'(1'(1'(1'(1'(1'(1'(0'(1'(0'(1'(1'(1'(1'(1'(0'(0'(0'(1'(0'(1'(0'(1'(0'(0'(x1106))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: 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 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1106))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))), x1106 >= 0 0'(z) -{ 2 }-> 1'(1'(0'(1'(1'(0'(0'(1'(0'(1'(1'(1'(1'(0'(0'(0'(0'(0'(1'(1'(0'(0'(1'(0'(0'(1'(1'(0'(0'(0'(1'(0'(0'(0'(0'(1'(0'(0'(1'(0'(1'(1'(0'(1'(0'(0'(0'(0'(1'(1'(1'(1'(1'(1'(1'(0'(0'(1'(1'(1'(1'(1'(1'(0'(0'(0'(1'(0'(0'(0'(1'(0'(1'(0'(1'(1'(1'(0'(0'(0'(0'(0'(1'(1'(1'(1'(0'(0'(0'(1'(0'(1'(0'(0'(1'(0'(1'(0'(0'(0'(1'(0'(0'(1'(1'(1'(0'(0'(1'(1'(0'(0'(1'(0'(0'(0'(0'(1'(1'(0'(0'(1'(1'(0'(1'(0'(0'(0'(0'(0'(0'(1'(1'(1'(1'(1'(1'(0'(0'(0'(0'(0'(1'(1'(1'(1'(1'(1'(1'(0'(1'(1'(1'(0'(1'(1'(0'(0'(1'(1'(0'(0'(0'(0'(0'(0'(0'(x1108))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: 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 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1108))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))), x1108 >= 0 0'(z) -{ 2 }-> 1'(1'(0'(1'(1'(0'(0'(1'(0'(1'(1'(1'(1'(0'(0'(0'(0'(0'(1'(1'(0'(0'(1'(0'(0'(1'(1'(0'(0'(0'(1'(0'(0'(0'(0'(1'(0'(0'(1'(0'(1'(1'(0'(1'(0'(0'(0'(0'(1'(1'(1'(1'(1'(1'(1'(0'(0'(1'(1'(1'(1'(1'(1'(0'(0'(0'(1'(0'(0'(0'(1'(0'(1'(0'(1'(1'(1'(0'(0'(0'(0'(0'(1'(1'(1'(0'(0'(1'(0'(1'(1'(0'(0'(0'(1'(1'(1'(0'(0'(1'(1'(1'(0'(1'(0'(0'(1'(0'(0'(1'(1'(0'(0'(1'(1'(1'(1'(0'(1'(1'(1'(0'(1'(0'(0'(1'(1'(1'(0'(0'(1'(0'(0'(0'(1'(0'(1'(1'(1'(1'(1'(0'(1'(0'(0'(0'(0'(0'(1'(1'(1'(1'(0'(1'(1'(1'(1'(0'(1'(1'(0'(0'(0'(0'(0'(1'(0'(x1103))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: x1103 >= 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 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1103))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) 0'(z) -{ 2 }-> 1'(1'(0'(1'(1'(0'(0'(1'(0'(1'(1'(1'(1'(0'(0'(0'(0'(0'(1'(1'(0'(0'(1'(0'(0'(1'(1'(0'(0'(0'(1'(0'(0'(0'(0'(1'(0'(0'(1'(0'(1'(1'(0'(1'(0'(0'(0'(0'(1'(1'(1'(1'(1'(1'(1'(0'(0'(1'(1'(1'(1'(1'(1'(0'(0'(0'(1'(0'(0'(0'(1'(0'(1'(0'(1'(1'(1'(0'(0'(0'(0'(0'(1'(1'(1'(0'(0'(1'(0'(1'(1'(0'(0'(0'(1'(1'(1'(0'(0'(1'(1'(1'(0'(1'(0'(0'(1'(0'(0'(1'(1'(0'(0'(1'(1'(1'(1'(0'(1'(1'(1'(0'(1'(0'(0'(1'(1'(1'(0'(0'(1'(0'(0'(0'(1'(0'(1'(1'(1'(0'(1'(0'(1'(1'(0'(1'(1'(1'(1'(0'(0'(0'(0'(0'(0'(0'(0'(0'(1'(0'(0'(0'(0'(1'(0'(0'(0'(x1104))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: x1104 >= 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 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1104))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) 0'(z) -{ 2 }-> 1'(1'(0'(1'(1'(0'(0'(1'(0'(1'(1'(1'(1'(0'(0'(0'(0'(0'(1'(1'(0'(0'(1'(0'(0'(1'(1'(0'(0'(0'(1'(0'(0'(0'(0'(1'(0'(0'(1'(0'(1'(1'(0'(1'(0'(0'(0'(0'(1'(1'(1'(1'(1'(1'(1'(0'(0'(1'(1'(1'(1'(1'(1'(0'(0'(0'(1'(0'(0'(0'(1'(0'(1'(0'(1'(1'(1'(0'(0'(0'(0'(0'(1'(1'(1'(0'(0'(1'(0'(1'(1'(0'(0'(0'(1'(1'(1'(0'(0'(1'(1'(1'(0'(1'(0'(0'(1'(0'(0'(1'(1'(0'(0'(1'(1'(1'(1'(0'(1'(1'(1'(0'(1'(0'(0'(1'(0'(0'(0'(1'(1'(1'(1'(1'(0'(1'(0'(0'(0'(0'(0'(0'(1'(1'(1'(0'(1'(0'(0'(0'(0'(0'(1'(0'(1'(1'(1'(1'(1'(0'(0'(1'(0'(0'(0'(0'(0'(x1107))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: x1107 >= 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 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1107))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) 0'(z) -{ 2 }-> 1'(1'(0'(1'(1'(0'(0'(1'(0'(1'(1'(1'(1'(0'(0'(0'(0'(0'(1'(1'(0'(0'(1'(0'(0'(1'(1'(0'(0'(0'(1'(0'(0'(0'(0'(1'(0'(0'(1'(0'(1'(1'(0'(1'(0'(0'(0'(0'(1'(1'(1'(1'(1'(1'(1'(0'(0'(1'(1'(1'(1'(1'(1'(0'(0'(0'(1'(0'(0'(0'(1'(0'(1'(0'(1'(1'(1'(0'(0'(0'(0'(0'(1'(1'(1'(0'(0'(0'(0'(0'(1'(0'(0'(1'(1'(0'(1'(0'(0'(0'(0'(1'(1'(1'(0'(0'(1'(1'(1'(0'(1'(1'(0'(0'(0'(0'(1'(0'(0'(1'(1'(0'(0'(1'(1'(0'(0'(0'(1'(1'(0'(0'(1'(0'(1'(0'(1'(1'(1'(1'(0'(0'(1'(1'(1'(1'(0'(0'(0'(0'(0'(0'(0'(0'(1'(1'(1'(1'(1'(1'(0'(1'(0'(0'(0'(0'(0'(1'(1'(x1105))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: 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 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1105))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))), x1105 >= 0 0'(z) -{ 2 }-> 1'(1'(0'(1'(1'(0'(0'(1'(0'(1'(1'(1'(1'(0'(0'(0'(0'(0'(1'(1'(0'(0'(1'(0'(0'(1'(1'(0'(0'(0'(1'(0'(0'(0'(0'(1'(0'(0'(1'(0'(1'(1'(0'(1'(0'(0'(0'(0'(1'(1'(1'(1'(1'(1'(1'(0'(0'(1'(1'(1'(1'(1'(1'(0'(0'(0'(1'(0'(0'(0'(1'(0'(1'(0'(1'(1'(1'(0'(0'(0'(0'(0'(1'(1'(1'(0'(0'(0'(0'(0'(1'(0'(0'(1'(1'(0'(1'(0'(0'(0'(0'(1'(1'(1'(0'(0'(1'(1'(1'(0'(1'(1'(0'(0'(0'(0'(1'(0'(0'(1'(1'(0'(0'(1'(1'(0'(0'(0'(1'(1'(0'(0'(1'(0'(1'(0'(1'(1'(1'(1'(0'(0'(0'(1'(0'(0'(1'(1'(1'(0'(1'(0'(0'(1'(0'(0'(0'(0'(1'(0'(0'(0'(0'(0'(0'(0'(0'(x1102))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: x1102 >= 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 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 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1'(1'(0'(1'(1'(0'(0'(1'(0'(1'(1'(1'(1'(0'(0'(0'(0'(0'(1'(1'(0'(0'(1'(0'(0'(1'(1'(0'(0'(0'(1'(0'(0'(0'(0'(1'(0'(0'(1'(0'(1'(1'(0'(1'(0'(0'(0'(0'(1'(1'(1'(1'(1'(1'(1'(0'(0'(1'(1'(1'(1'(1'(1'(0'(0'(0'(1'(0'(0'(0'(1'(0'(1'(0'(1'(1'(1'(0'(0'(0'(0'(0'(1'(1'(1'(0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (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 }-> 1'(1'(0'(1'(1'(0'(0'(1'(0'(1'(1'(1'(1'(0'(0'(0'(0'(0'(1'(1'(0'(0'(1'(0'(0'(1'(1'(0'(0'(0'(1'(0'(0'(0'(0'(1'(0'(0'(1'(0'(1'(1'(0'(1'(0'(0'(0'(0'(1'(1'(1'(1'(1'(1'(1'(0'(0'(1'(1'(1'(1'(1'(1'(0'(0'(0'(1'(0'(0'(0'(1'(0'(1'(0'(1'(1'(1'(0'(0'(0'(0'(0'(1'(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 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (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 }-> 1'(0'(0'(0'(1'(0'(1'(0'(0'(1'(0'(1'(0'(0'(0'(1'(0'(0'(1'(1'(1'(0'(0'(1'(1'(0'(0'(1'(0'(0'(0'(0'(1'(1'(0'(0'(1'(1'(0'(1'(0'(0'(0'(0'(0'(0'(1'(1'(1'(1'(1'(1'(0'(0'(0'(0'(0'(1'(1'(1'(1'(1'(1'(1'(0'(1'(1'(1'(0'(1'(1'(0'(1'(0'(0'(1'(0'(0'(1'(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 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (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) -{ 2 }-> 1'(0'(0'(0'(1'(0'(1'(0'(0'(1'(0'(1'(0'(0'(0'(1'(0'(0'(1'(1'(1'(0'(0'(1'(1'(0'(0'(1'(0'(0'(0'(0'(1'(1'(0'(0'(1'(1'(0'(1'(0'(0'(0'(0'(0'(0'(1'(1'(1'(1'(1'(1'(0'(0'(0'(0'(0'(1'(1'(1'(1'(1'(1'(1'(0'(1'(1'(1'(0'(1'(1'(0'(1'(0'(0'(1'(0'(0'(1'(0'(1'(0'(1'(1'(1'(0'(1'(1'(0'(0'(1'(0'(1'(1'(1'(1'(0'(0'(0'(0'(0'(1'(1'(0'(0'(1'(0'(0'(1'(1'(0'(0'(0'(1'(0'(0'(0'(0'(1'(0'(0'(1'(0'(1'(1'(0'(1'(0'(0'(0'(0'(1'(1'(1'(1'(1'(1'(1'(0'(0'(1'(1'(1'(1'(1'(1'(1'(0'(1'(0'(1'(1'(1'(1'(1'(0'(0'(0'(1'(0'(1'(0'(1'(0'(0'(x1436))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: x1436 >= 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 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + 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1'(0'(0'(0'(1'(0'(1'(0'(0'(1'(0'(1'(0'(0'(0'(1'(0'(0'(1'(1'(1'(0'(0'(1'(1'(0'(0'(1'(0'(0'(0'(0'(1'(1'(0'(0'(1'(1'(0'(1'(0'(0'(0'(0'(0'(0'(1'(1'(1'(1'(1'(1'(0'(0'(0'(0'(0'(1'(1'(1'(1'(1'(1'(1'(0'(1'(1'(1'(0'(1'(1'(0'(1'(0'(0'(1'(0'(0'(1'(0'(1'(0'(1'(1'(0'(0'(0'(1'(0'(1'(0'(0'(1'(0'(1'(0'(0'(0'(1'(0'(0'(1'(1'(1'(0'(0'(1'(1'(0'(0'(1'(0'(0'(0'(0'(1'(1'(0'(0'(1'(1'(0'(1'(0'(0'(0'(0'(0'(0'(1'(1'(1'(1'(1'(1'(0'(0'(0'(0'(0'(1'(1'(1'(1'(1'(1'(1'(0'(1'(1'(1'(0'(1'(1'(0'(0'(1'(1'(0'(0'(0'(0'(0'(0'(0'(x1438))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: 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 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 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1'(0'(0'(0'(1'(0'(1'(0'(0'(1'(0'(1'(0'(0'(0'(1'(0'(0'(1'(1'(1'(0'(0'(1'(1'(0'(0'(1'(0'(0'(0'(0'(1'(1'(0'(0'(1'(1'(0'(1'(0'(0'(0'(0'(0'(0'(1'(1'(1'(1'(1'(1'(0'(0'(0'(0'(0'(1'(1'(1'(1'(1'(1'(1'(0'(1'(1'(1'(0'(1'(1'(0'(1'(0'(0'(1'(0'(0'(1'(0'(1'(0'(1'(0'(0'(1'(0'(1'(1'(0'(0'(0'(1'(1'(1'(0'(0'(1'(1'(1'(0'(1'(0'(0'(1'(0'(0'(1'(1'(0'(0'(1'(1'(1'(1'(0'(1'(1'(1'(0'(1'(0'(0'(1'(1'(1'(0'(0'(1'(0'(0'(0'(1'(0'(1'(1'(1'(1'(1'(0'(1'(0'(0'(0'(0'(0'(1'(1'(1'(1'(0'(1'(1'(1'(1'(0'(1'(1'(0'(0'(0'(0'(0'(1'(0'(x1433))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: x1433 >= 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 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + 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1'(0'(0'(0'(1'(0'(1'(0'(0'(1'(0'(1'(0'(0'(0'(1'(0'(0'(1'(1'(1'(0'(0'(1'(1'(0'(0'(1'(0'(0'(0'(0'(1'(1'(0'(0'(1'(1'(0'(1'(0'(0'(0'(0'(0'(0'(1'(1'(1'(1'(1'(1'(0'(0'(0'(0'(0'(1'(1'(1'(1'(1'(1'(1'(0'(1'(1'(1'(0'(1'(1'(0'(1'(0'(0'(1'(0'(0'(1'(0'(1'(0'(1'(0'(0'(1'(0'(1'(1'(0'(0'(0'(1'(1'(1'(0'(0'(1'(1'(1'(0'(1'(0'(0'(1'(0'(0'(1'(1'(0'(0'(1'(1'(1'(1'(0'(1'(1'(1'(0'(1'(0'(0'(1'(1'(1'(0'(0'(1'(0'(0'(0'(1'(0'(1'(1'(1'(0'(1'(0'(1'(1'(0'(1'(1'(1'(1'(0'(0'(0'(0'(0'(0'(0'(0'(0'(1'(0'(0'(0'(0'(1'(0'(0'(0'(x1434))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: 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 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 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1'(0'(0'(0'(1'(0'(1'(0'(0'(1'(0'(1'(0'(0'(0'(1'(0'(0'(1'(1'(1'(0'(0'(1'(1'(0'(0'(1'(0'(0'(0'(0'(1'(1'(0'(0'(1'(1'(0'(1'(0'(0'(0'(0'(0'(0'(1'(1'(1'(1'(1'(1'(0'(0'(0'(0'(0'(1'(1'(1'(1'(1'(1'(1'(0'(1'(1'(1'(0'(1'(1'(0'(1'(0'(0'(1'(0'(0'(1'(0'(1'(0'(1'(0'(0'(1'(0'(1'(1'(0'(0'(0'(1'(1'(1'(0'(0'(1'(1'(1'(0'(1'(0'(0'(1'(0'(0'(1'(1'(0'(0'(1'(1'(1'(1'(0'(1'(1'(1'(0'(1'(0'(0'(1'(0'(0'(0'(1'(1'(1'(1'(1'(0'(1'(0'(0'(0'(0'(0'(0'(1'(1'(1'(0'(1'(0'(0'(0'(0'(0'(1'(0'(1'(1'(1'(1'(1'(0'(0'(1'(0'(0'(0'(0'(0'(x1437))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: x1437 >= 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 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + 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1'(0'(0'(0'(1'(0'(1'(0'(0'(1'(0'(1'(0'(0'(0'(1'(0'(0'(1'(1'(1'(0'(0'(1'(1'(0'(0'(1'(0'(0'(0'(0'(1'(1'(0'(0'(1'(1'(0'(1'(0'(0'(0'(0'(0'(0'(1'(1'(1'(1'(1'(1'(0'(0'(0'(0'(0'(1'(1'(1'(1'(1'(1'(1'(0'(1'(1'(1'(0'(1'(1'(0'(1'(0'(0'(1'(0'(0'(1'(0'(1'(0'(1'(0'(0'(0'(0'(0'(1'(0'(0'(1'(1'(0'(1'(0'(0'(0'(0'(1'(1'(1'(0'(0'(1'(1'(1'(0'(1'(1'(0'(0'(0'(0'(1'(0'(0'(1'(1'(0'(0'(1'(1'(0'(0'(0'(1'(1'(0'(0'(1'(0'(1'(0'(1'(1'(1'(1'(0'(0'(1'(1'(1'(1'(0'(0'(0'(0'(0'(0'(0'(0'(1'(1'(1'(1'(1'(1'(0'(1'(0'(0'(0'(0'(0'(1'(1'(x1435))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: x1435 >= 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 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 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1'(0'(0'(0'(1'(0'(1'(0'(0'(1'(0'(1'(0'(0'(0'(1'(0'(0'(1'(1'(1'(0'(0'(1'(1'(0'(0'(1'(0'(0'(0'(0'(1'(1'(0'(0'(1'(1'(0'(1'(0'(0'(0'(0'(0'(0'(1'(1'(1'(1'(1'(1'(0'(0'(0'(0'(0'(1'(1'(1'(1'(1'(1'(1'(0'(1'(1'(1'(0'(1'(1'(0'(1'(0'(0'(1'(0'(0'(1'(0'(1'(0'(1'(0'(0'(0'(0'(0'(1'(0'(0'(1'(1'(0'(1'(0'(0'(0'(0'(1'(1'(1'(0'(0'(1'(1'(1'(0'(1'(1'(0'(0'(0'(0'(1'(0'(0'(1'(1'(0'(0'(1'(1'(0'(0'(0'(1'(1'(0'(0'(1'(0'(1'(0'(1'(1'(1'(1'(0'(0'(0'(1'(0'(0'(1'(1'(1'(0'(1'(0'(0'(1'(0'(0'(0'(0'(1'(0'(0'(0'(0'(0'(0'(0'(0'(x1432))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: x1432 >= 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 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + 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:|: 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 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (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 }-> 1'(0'(0'(0'(1'(0'(1'(0'(0'(1'(0'(1'(0'(0'(0'(1'(0'(0'(1'(1'(1'(0'(0'(1'(1'(0'(0'(1'(0'(0'(0'(0'(1'(1'(0'(0'(1'(1'(0'(1'(0'(0'(0'(0'(0'(0'(1'(1'(1'(1'(1'(1'(0'(0'(0'(0'(0'(1'(1'(1'(1'(1'(1'(1'(0'(1'(1'(1'(0'(1'(1'(0'(1'(0'(0'(1'(0'(0'(1'(0'(1'(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 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1'(0'(0'(0'(1'(0'(1'(0'(0'(1'(0'(1'(0'(0'(0'(1'(0'(0'(1'(1'(1'(0'(0'(1'(1'(0'(0'(1'(0'(0'(0'(0'(1'(1'(0'(0'(1'(1'(0'(1'(0'(0'(0'(0'(0'(0'(1'(1'(1'(1'(1'(1'(0'(0'(0'(0'(0'(1'(1'(1'(1'(1'(1'(1'(0'(1'(1'(1'(0'(1'(1'(0'(1'(0'(0'(1'(0'(0'(1'(0'(0'(0'(1'(1'(0'(1'(1'(0'(0'(1'(0'(1'(1'(1'(1'(0'(0'(0'(0'(0'(1'(1'(0'(0'(1'(0'(0'(1'(1'(0'(0'(0'(1'(0'(0'(0'(0'(1'(0'(0'(1'(0'(1'(1'(0'(1'(0'(0'(0'(0'(1'(1'(1'(1'(1'(1'(1'(0'(0'(1'(1'(1'(1'(1'(1'(1'(0'(1'(0'(1'(1'(1'(1'(1'(0'(0'(0'(1'(0'(1'(0'(1'(0'(0'(x151)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: 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 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 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1'(0'(0'(0'(1'(0'(1'(0'(0'(1'(0'(1'(0'(0'(0'(1'(0'(0'(1'(1'(1'(0'(0'(1'(1'(0'(0'(1'(0'(0'(0'(0'(1'(1'(0'(0'(1'(1'(0'(1'(0'(0'(0'(0'(0'(0'(1'(1'(1'(1'(1'(1'(0'(0'(0'(0'(0'(1'(1'(1'(1'(1'(1'(1'(0'(1'(1'(1'(0'(1'(1'(0'(1'(0'(0'(1'(0'(0'(1'(0'(0'(0'(1'(0'(0'(0'(1'(0'(1'(0'(0'(1'(0'(1'(0'(0'(0'(1'(0'(0'(1'(1'(1'(0'(0'(1'(1'(0'(0'(1'(0'(0'(0'(0'(1'(1'(0'(0'(1'(1'(0'(1'(0'(0'(0'(0'(0'(0'(1'(1'(1'(1'(1'(1'(0'(0'(0'(0'(0'(1'(1'(1'(1'(1'(1'(1'(0'(1'(1'(1'(0'(1'(1'(0'(0'(1'(1'(0'(0'(0'(0'(0'(0'(0'(x153)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: 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 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 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1'(0'(0'(0'(1'(0'(1'(0'(0'(1'(0'(1'(0'(0'(0'(1'(0'(0'(1'(1'(1'(0'(0'(1'(1'(0'(0'(1'(0'(0'(0'(0'(1'(1'(0'(0'(1'(1'(0'(1'(0'(0'(0'(0'(0'(0'(1'(1'(1'(1'(1'(1'(0'(0'(0'(0'(0'(1'(1'(1'(1'(1'(1'(1'(0'(1'(1'(1'(0'(1'(1'(0'(1'(0'(0'(1'(0'(0'(1'(0'(0'(0'(0'(0'(1'(0'(1'(1'(0'(0'(0'(1'(1'(1'(0'(0'(1'(1'(1'(0'(1'(0'(0'(1'(0'(0'(1'(1'(0'(0'(1'(1'(1'(1'(0'(1'(1'(1'(0'(1'(0'(0'(1'(1'(1'(0'(0'(1'(0'(0'(0'(1'(0'(1'(1'(1'(1'(1'(0'(1'(0'(0'(0'(0'(0'(1'(1'(1'(1'(0'(1'(1'(1'(1'(0'(1'(1'(0'(0'(0'(0'(0'(1'(0'(x148)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: 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 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 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1'(0'(0'(0'(1'(0'(1'(0'(0'(1'(0'(1'(0'(0'(0'(1'(0'(0'(1'(1'(1'(0'(0'(1'(1'(0'(0'(1'(0'(0'(0'(0'(1'(1'(0'(0'(1'(1'(0'(1'(0'(0'(0'(0'(0'(0'(1'(1'(1'(1'(1'(1'(0'(0'(0'(0'(0'(1'(1'(1'(1'(1'(1'(1'(0'(1'(1'(1'(0'(1'(1'(0'(1'(0'(0'(1'(0'(0'(1'(0'(0'(0'(0'(0'(1'(0'(1'(1'(0'(0'(0'(1'(1'(1'(0'(0'(1'(1'(1'(0'(1'(0'(0'(1'(0'(0'(1'(1'(0'(0'(1'(1'(1'(1'(0'(1'(1'(1'(0'(1'(0'(0'(1'(1'(1'(0'(0'(1'(0'(0'(0'(1'(0'(1'(1'(1'(0'(1'(0'(1'(1'(0'(1'(1'(1'(1'(0'(0'(0'(0'(0'(0'(0'(0'(0'(1'(0'(0'(0'(0'(1'(0'(0'(0'(x149)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: x149 >= 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 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + 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1'(0'(0'(0'(1'(0'(1'(0'(0'(1'(0'(1'(0'(0'(0'(1'(0'(0'(1'(1'(1'(0'(0'(1'(1'(0'(0'(1'(0'(0'(0'(0'(1'(1'(0'(0'(1'(1'(0'(1'(0'(0'(0'(0'(0'(0'(1'(1'(1'(1'(1'(1'(0'(0'(0'(0'(0'(1'(1'(1'(1'(1'(1'(1'(0'(1'(1'(1'(0'(1'(1'(0'(1'(0'(0'(1'(0'(0'(1'(0'(0'(0'(0'(0'(1'(0'(1'(1'(0'(0'(0'(1'(1'(1'(0'(0'(1'(1'(1'(0'(1'(0'(0'(1'(0'(0'(1'(1'(0'(0'(1'(1'(1'(1'(0'(1'(1'(1'(0'(1'(0'(0'(1'(0'(0'(0'(1'(1'(1'(1'(1'(0'(1'(0'(0'(0'(0'(0'(0'(1'(1'(1'(0'(1'(0'(0'(0'(0'(0'(1'(0'(1'(1'(1'(1'(1'(0'(0'(1'(0'(0'(0'(0'(0'(x152)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: x152 >= 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 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + 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1'(0'(0'(0'(1'(0'(1'(0'(0'(1'(0'(1'(0'(0'(0'(1'(0'(0'(1'(1'(1'(0'(0'(1'(1'(0'(0'(1'(0'(0'(0'(0'(1'(1'(0'(0'(1'(1'(0'(1'(0'(0'(0'(0'(0'(0'(1'(1'(1'(1'(1'(1'(0'(0'(0'(0'(0'(1'(1'(1'(1'(1'(1'(1'(0'(1'(1'(1'(0'(1'(1'(0'(1'(0'(0'(1'(0'(0'(1'(0'(0'(0'(0'(0'(0'(0'(0'(1'(0'(0'(1'(1'(0'(1'(0'(0'(0'(0'(1'(1'(1'(0'(0'(1'(1'(1'(0'(1'(1'(0'(0'(0'(0'(1'(0'(0'(1'(1'(0'(0'(1'(1'(0'(0'(0'(1'(1'(0'(0'(1'(0'(1'(0'(1'(1'(1'(1'(0'(0'(1'(1'(1'(1'(0'(0'(0'(0'(0'(0'(0'(0'(1'(1'(1'(1'(1'(1'(0'(1'(0'(0'(0'(0'(0'(1'(1'(x150)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: 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 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + 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1'(0'(0'(0'(1'(0'(1'(0'(0'(1'(0'(1'(0'(0'(0'(1'(0'(0'(1'(1'(1'(0'(0'(1'(1'(0'(0'(1'(0'(0'(0'(0'(1'(1'(0'(0'(1'(1'(0'(1'(0'(0'(0'(0'(0'(0'(1'(1'(1'(1'(1'(1'(0'(0'(0'(0'(0'(1'(1'(1'(1'(1'(1'(1'(0'(1'(1'(1'(0'(1'(1'(0'(1'(0'(0'(1'(0'(0'(1'(0'(0'(0'(0'(0'(0'(0'(0'(1'(0'(0'(1'(1'(0'(1'(0'(0'(0'(0'(1'(1'(1'(0'(0'(1'(1'(1'(0'(1'(1'(0'(0'(0'(0'(1'(0'(0'(1'(1'(0'(0'(1'(1'(0'(0'(0'(1'(1'(0'(0'(1'(0'(1'(0'(1'(1'(1'(1'(0'(0'(0'(1'(0'(0'(1'(1'(1'(0'(1'(0'(0'(1'(0'(0'(0'(0'(1'(0'(0'(0'(0'(0'(0'(0'(0'(x147)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: x147 >= 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 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + 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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 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (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 }-> 1'(0'(0'(0'(1'(0'(1'(0'(0'(1'(0'(1'(0'(0'(0'(1'(0'(0'(1'(1'(1'(0'(0'(1'(1'(0'(0'(1'(0'(0'(0'(0'(1'(1'(0'(0'(1'(1'(0'(1'(0'(0'(0'(0'(0'(0'(1'(1'(1'(1'(1'(1'(0'(0'(0'(0'(0'(1'(1'(1'(1'(1'(1'(1'(0'(1'(1'(1'(0'(1'(1'(0'(1'(0'(0'(1'(0'(0'(1'(0'(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 + 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1'(0'(0'(0'(1'(0'(1'(0'(0'(1'(0'(1'(0'(0'(0'(1'(0'(0'(1'(1'(1'(0'(0'(1'(1'(0'(0'(1'(0'(0'(0'(0'(1'(1'(0'(0'(1'(1'(0'(1'(0'(0'(0'(0'(0'(0'(1'(1'(1'(1'(1'(1'(0'(0'(0'(0'(0'(1'(1'(1'(1'(1'(1'(0'(0'(1'(0'(0'(0'(1'(1'(0'(1'(1'(0'(1'(1'(1'(1'(1'(0'(0'(1'(0'(0'(0'(1'(0'(1'(0'(0'(1'(0'(1'(0'(0'(0'(1'(0'(0'(1'(1'(1'(0'(0'(1'(1'(0'(0'(1'(0'(0'(0'(0'(1'(1'(0'(0'(1'(1'(0'(1'(0'(0'(0'(0'(0'(0'(1'(1'(1'(1'(1'(1'(0'(0'(0'(0'(0'(1'(1'(1'(1'(1'(1'(1'(0'(1'(1'(1'(0'(1'(1'(0'(0'(1'(1'(0'(0'(0'(0'(0'(0'(0'(x1531)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: x1531 >= 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 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + 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1'(0'(0'(0'(1'(0'(1'(0'(0'(1'(0'(1'(0'(0'(0'(1'(0'(0'(1'(1'(1'(0'(0'(1'(1'(0'(0'(1'(0'(0'(0'(0'(1'(1'(0'(0'(1'(1'(0'(1'(0'(0'(0'(0'(0'(0'(1'(1'(1'(1'(1'(1'(0'(0'(0'(0'(0'(1'(1'(1'(1'(1'(1'(0'(0'(1'(0'(0'(0'(1'(1'(0'(1'(1'(0'(1'(1'(1'(1'(1'(0'(0'(0'(0'(1'(0'(1'(1'(0'(0'(0'(1'(1'(1'(0'(0'(1'(1'(1'(0'(1'(0'(0'(1'(0'(0'(1'(1'(0'(0'(1'(1'(1'(1'(0'(1'(1'(1'(0'(1'(0'(0'(1'(1'(1'(0'(0'(1'(0'(0'(0'(1'(0'(1'(1'(1'(1'(1'(0'(1'(0'(0'(0'(0'(0'(1'(1'(1'(1'(0'(1'(1'(1'(1'(0'(1'(1'(0'(0'(0'(0'(0'(1'(0'(x1526)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: 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 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + 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1'(0'(0'(0'(1'(0'(1'(0'(0'(1'(0'(1'(0'(0'(0'(1'(0'(0'(1'(1'(1'(0'(0'(1'(1'(0'(0'(1'(0'(0'(0'(0'(1'(1'(0'(0'(1'(1'(0'(1'(0'(0'(0'(0'(0'(0'(1'(1'(1'(1'(1'(1'(0'(0'(0'(0'(0'(1'(1'(1'(1'(1'(1'(0'(0'(1'(0'(0'(0'(1'(1'(0'(1'(1'(0'(1'(1'(1'(1'(1'(0'(0'(0'(0'(1'(0'(1'(1'(0'(0'(0'(1'(1'(1'(0'(0'(1'(1'(1'(0'(1'(0'(0'(1'(0'(0'(1'(1'(0'(0'(1'(1'(1'(1'(0'(1'(1'(1'(0'(1'(0'(0'(1'(0'(0'(0'(1'(1'(1'(1'(1'(0'(1'(0'(0'(0'(0'(0'(0'(1'(1'(1'(0'(1'(0'(0'(0'(0'(0'(1'(0'(1'(1'(1'(1'(1'(0'(0'(1'(0'(0'(0'(0'(0'(x1530)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: x1530 >= 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 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + 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1'(0'(0'(0'(1'(0'(1'(0'(0'(1'(0'(1'(0'(0'(0'(1'(0'(0'(1'(1'(1'(0'(0'(1'(1'(0'(0'(1'(0'(0'(0'(0'(1'(1'(0'(0'(1'(1'(0'(1'(0'(0'(0'(0'(0'(0'(1'(1'(1'(1'(1'(1'(0'(0'(0'(0'(0'(1'(1'(1'(1'(1'(1'(0'(0'(1'(0'(0'(0'(1'(1'(0'(1'(1'(0'(1'(1'(1'(1'(1'(0'(0'(0'(0'(0'(0'(0'(1'(0'(0'(1'(1'(0'(1'(0'(0'(0'(0'(1'(1'(1'(0'(0'(1'(1'(1'(0'(1'(1'(0'(0'(0'(0'(1'(0'(0'(1'(1'(0'(0'(1'(1'(0'(0'(0'(1'(1'(0'(0'(1'(0'(1'(0'(1'(1'(1'(1'(0'(0'(1'(1'(1'(1'(0'(0'(0'(0'(0'(0'(0'(0'(1'(1'(1'(1'(1'(1'(0'(1'(0'(0'(0'(0'(0'(1'(1'(x1528)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: x1528 >= 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 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + 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1'(0'(0'(0'(1'(0'(1'(0'(0'(1'(0'(1'(0'(0'(0'(1'(0'(0'(1'(1'(1'(0'(0'(1'(1'(0'(0'(1'(0'(0'(0'(0'(1'(1'(0'(0'(1'(1'(0'(1'(0'(0'(0'(0'(0'(0'(1'(1'(1'(1'(1'(1'(0'(0'(0'(0'(0'(1'(1'(1'(1'(1'(1'(0'(0'(1'(0'(0'(0'(1'(1'(0'(1'(1'(0'(1'(1'(1'(1'(1'(0'(0'(0'(0'(0'(0'(0'(1'(0'(0'(1'(1'(0'(1'(0'(0'(0'(0'(1'(1'(1'(0'(0'(1'(1'(1'(0'(1'(1'(0'(0'(0'(0'(1'(0'(0'(1'(1'(0'(0'(1'(1'(0'(0'(0'(1'(1'(0'(0'(1'(0'(1'(0'(1'(1'(1'(1'(0'(0'(0'(1'(0'(0'(1'(1'(1'(0'(1'(0'(0'(1'(0'(0'(0'(0'(1'(0'(0'(0'(0'(0'(0'(0'(0'(x1525)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: 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 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + 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>= 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 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (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 }-> 1'(0'(0'(0'(1'(0'(1'(0'(0'(1'(0'(1'(0'(0'(0'(1'(0'(0'(1'(1'(1'(0'(0'(1'(1'(0'(0'(1'(0'(0'(0'(0'(1'(1'(0'(0'(1'(1'(0'(1'(0'(0'(0'(0'(0'(0'(1'(1'(1'(1'(1'(1'(0'(0'(0'(0'(0'(1'(1'(1'(1'(1'(1'(0'(0'(1'(0'(0'(0'(1'(1'(0'(1'(1'(0'(1'(1'(1'(1'(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 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x1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) 0'(z) -{ 1 }-> 0'(0'(0'(0'(0'(1'(0'(0'(1'(1'(0'(1'(0'(0'(0'(0'(1'(1'(1'(0'(0'(1'(1'(1'(0'(1'(1'(0'(0'(0'(0'(1'(0'(0'(1'(1'(0'(0'(1'(1'(0'(0'(0'(1'(1'(0'(0'(1'(0'(1'(1'(0'(0'(0'(0'(1'(0'(0'(1'(0'(0'(1'(1'(1'(1'(0'(0'(1'(1'(0'(0'(1'(0'(0'(1'(1'(1'(1'(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 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (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'(0'(0'(0'(1'(0'(0'(1'(1'(0'(1'(0'(0'(0'(0'(1'(1'(1'(0'(0'(1'(1'(1'(0'(1'(1'(0'(0'(0'(0'(1'(0'(0'(1'(1'(0'(0'(1'(1'(0'(0'(0'(1'(1'(0'(0'(1'(0'(1'(1'(0'(0'(0'(0'(1'(0'(0'(1'(0'(0'(1'(1'(1'(1'(0'(0'(1'(1'(0'(0'(1'(0'(0'(1'(1'(1'(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 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (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) -{ 2 }-> 0'(0'(0'(0'(0'(1'(0'(0'(1'(1'(0'(1'(0'(0'(0'(0'(1'(1'(1'(0'(0'(1'(1'(1'(0'(1'(1'(0'(0'(0'(0'(1'(0'(0'(1'(1'(0'(0'(1'(1'(0'(0'(0'(1'(1'(0'(0'(1'(0'(1'(1'(0'(0'(0'(0'(1'(0'(0'(1'(0'(0'(1'(1'(1'(1'(0'(0'(1'(1'(0'(0'(1'(0'(0'(1'(1'(1'(1'(0'(0'(0'(0'(1'(1'(1'(1'(0'(1'(1'(0'(0'(1'(0'(1'(1'(1'(1'(0'(0'(0'(0'(0'(1'(1'(0'(0'(1'(0'(0'(1'(1'(0'(0'(0'(1'(0'(0'(0'(0'(1'(0'(0'(1'(0'(1'(1'(0'(1'(0'(0'(0'(0'(1'(1'(1'(1'(1'(1'(1'(0'(0'(1'(1'(1'(1'(1'(1'(1'(0'(1'(0'(1'(1'(1'(1'(1'(0'(0'(0'(1'(0'(1'(0'(1'(0'(0'(x1240)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: 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 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 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0'(0'(0'(0'(0'(1'(0'(0'(1'(1'(0'(1'(0'(0'(0'(0'(1'(1'(1'(0'(0'(1'(1'(1'(0'(1'(1'(0'(0'(0'(0'(1'(0'(0'(1'(1'(0'(0'(1'(1'(0'(0'(0'(1'(1'(0'(0'(1'(0'(1'(1'(0'(0'(0'(0'(1'(0'(0'(1'(0'(0'(1'(1'(1'(1'(0'(0'(1'(1'(0'(0'(1'(0'(0'(1'(1'(1'(1'(0'(0'(0'(0'(1'(1'(0'(0'(1'(0'(1'(1'(0'(0'(0'(1'(1'(1'(0'(0'(1'(1'(1'(0'(1'(0'(0'(1'(0'(0'(1'(1'(0'(0'(1'(1'(1'(1'(0'(1'(1'(1'(0'(1'(0'(0'(1'(0'(0'(0'(1'(1'(1'(1'(1'(0'(1'(0'(0'(0'(0'(0'(0'(1'(1'(1'(0'(1'(0'(0'(0'(0'(0'(1'(0'(1'(1'(1'(1'(1'(0'(0'(1'(0'(0'(0'(0'(0'(x1475)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: x1475 >= 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 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + 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0'(0'(0'(0'(0'(1'(0'(0'(1'(1'(0'(1'(0'(0'(0'(0'(1'(1'(1'(0'(0'(1'(1'(1'(0'(1'(1'(0'(0'(0'(0'(1'(0'(0'(1'(1'(0'(0'(1'(1'(0'(0'(0'(1'(1'(0'(0'(1'(0'(1'(1'(0'(0'(0'(0'(1'(0'(0'(1'(0'(0'(1'(1'(1'(1'(0'(0'(1'(1'(0'(0'(1'(0'(0'(1'(1'(1'(1'(0'(0'(0'(0'(1'(1'(0'(0'(0'(0'(0'(1'(0'(0'(1'(1'(0'(1'(0'(0'(0'(0'(1'(1'(1'(0'(0'(1'(1'(1'(0'(1'(1'(0'(0'(0'(0'(1'(0'(0'(1'(1'(0'(0'(1'(1'(0'(0'(0'(1'(1'(0'(0'(1'(0'(1'(0'(1'(1'(1'(1'(0'(0'(1'(1'(1'(1'(0'(0'(0'(0'(0'(0'(0'(0'(1'(1'(1'(1'(1'(1'(0'(1'(0'(0'(0'(0'(0'(1'(1'(x1239)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + 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0'(0'(0'(0'(0'(1'(0'(0'(1'(1'(0'(1'(0'(0'(0'(0'(1'(1'(1'(0'(0'(1'(1'(1'(0'(1'(1'(0'(0'(0'(0'(1'(0'(0'(1'(1'(0'(0'(1'(1'(0'(0'(0'(1'(1'(0'(0'(1'(0'(1'(1'(0'(0'(0'(0'(1'(0'(0'(1'(0'(0'(1'(1'(1'(1'(0'(0'(1'(1'(0'(0'(1'(0'(0'(1'(1'(1'(1'(0'(0'(0'(0'(1'(1'(0'(0'(0'(0'(0'(1'(0'(0'(1'(1'(0'(1'(0'(0'(0'(0'(1'(1'(1'(0'(0'(1'(1'(1'(0'(1'(1'(0'(0'(0'(0'(1'(0'(0'(1'(1'(0'(0'(1'(1'(0'(0'(0'(1'(1'(0'(0'(1'(0'(1'(0'(1'(1'(1'(1'(0'(0'(1'(1'(1'(1'(0'(0'(0'(0'(0'(0'(0'(0'(1'(1'(1'(1'(1'(1'(0'(1'(0'(0'(0'(0'(0'(1'(1'(x1473)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: x1473 >= 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 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 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0'(0'(0'(0'(0'(1'(0'(0'(1'(1'(0'(1'(0'(0'(0'(0'(1'(1'(1'(0'(0'(1'(1'(1'(0'(1'(1'(0'(0'(0'(0'(1'(0'(0'(1'(1'(0'(0'(1'(1'(0'(0'(0'(1'(1'(0'(0'(1'(0'(1'(1'(0'(0'(0'(0'(1'(0'(0'(1'(0'(0'(1'(1'(1'(1'(0'(0'(1'(1'(0'(0'(1'(0'(0'(1'(1'(1'(1'(0'(0'(0'(0'(1'(1'(0'(0'(0'(0'(0'(1'(0'(0'(1'(1'(0'(1'(0'(0'(0'(0'(1'(1'(1'(0'(0'(1'(1'(1'(0'(1'(1'(0'(0'(0'(0'(1'(0'(0'(1'(1'(0'(0'(1'(1'(0'(0'(0'(1'(1'(0'(0'(1'(0'(1'(0'(1'(1'(1'(1'(0'(0'(0'(1'(0'(0'(1'(1'(1'(0'(1'(0'(0'(1'(0'(0'(0'(0'(1'(0'(0'(0'(0'(0'(0'(0'(0'(x1236)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 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0'(0'(0'(0'(0'(1'(0'(0'(1'(1'(0'(1'(0'(0'(0'(0'(1'(1'(1'(0'(0'(1'(1'(1'(0'(1'(1'(0'(0'(0'(0'(1'(0'(0'(1'(1'(0'(0'(1'(1'(0'(0'(0'(1'(1'(0'(0'(1'(0'(1'(1'(0'(0'(0'(0'(1'(0'(0'(1'(0'(0'(1'(1'(1'(1'(0'(0'(1'(1'(0'(0'(1'(0'(0'(1'(1'(1'(1'(0'(0'(0'(0'(1'(1'(0'(0'(0'(0'(0'(1'(0'(0'(1'(1'(0'(1'(0'(0'(0'(0'(1'(1'(1'(0'(0'(1'(1'(1'(0'(1'(1'(0'(0'(0'(0'(1'(0'(0'(1'(1'(0'(0'(1'(1'(0'(0'(0'(1'(1'(0'(0'(1'(0'(1'(0'(1'(1'(1'(1'(0'(0'(0'(1'(0'(0'(1'(1'(1'(0'(1'(0'(0'(1'(0'(0'(0'(0'(1'(0'(0'(0'(0'(0'(0'(0'(0'(x1470)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: x1470 >= 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 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + 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0'(0'(0'(0'(0'(1'(0'(0'(1'(1'(0'(1'(0'(0'(0'(0'(1'(1'(1'(0'(0'(1'(1'(1'(0'(1'(1'(0'(0'(0'(0'(1'(0'(0'(1'(1'(0'(0'(1'(1'(0'(0'(0'(1'(1'(0'(0'(1'(0'(1'(1'(0'(0'(0'(0'(1'(0'(0'(1'(0'(0'(1'(1'(1'(1'(0'(0'(1'(1'(0'(0'(1'(0'(0'(1'(1'(1'(1'(0'(0'(0'(0'(1'(1'(0)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (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'(0'(0'(0'(1'(0'(0'(1'(1'(0'(1'(0'(0'(0'(0'(1'(1'(1'(0'(0'(1'(1'(1'(0'(1'(1'(0'(0'(0'(0'(1'(0'(0'(1'(1'(0'(0'(1'(1'(0'(0'(0'(1'(1'(0'(0'(1'(0'(1'(1'(0'(0'(0'(0'(1'(0'(0'(1'(0'(0'(1'(1'(1'(1'(0'(0'(1'(1'(0'(0'(1'(0'(0'(1'(1'(1'(1'(0'(0'(0'(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 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (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'(0'(0'(0'(1'(0'(0'(1'(1'(0'(1'(0'(0'(0'(0'(1'(1'(1'(0'(0'(1'(1'(1'(0'(1'(1'(0'(0'(0'(0'(1'(0'(0'(1'(1'(0'(0'(1'(1'(0'(0'(0'(1'(1'(0'(0'(1'(0'(1'(1'(0'(0'(0'(0'(1'(0'(0'(1'(0'(0'(1'(1'(1'(1'(0'(0'(1'(0'(1'(1'(0'(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 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (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) -{ 2 }-> 0'(0'(0'(0'(0'(1'(0'(0'(1'(1'(0'(1'(0'(0'(0'(0'(1'(1'(1'(0'(0'(1'(1'(1'(0'(1'(1'(0'(0'(0'(0'(1'(0'(0'(1'(1'(0'(0'(1'(1'(0'(0'(0'(1'(1'(0'(0'(1'(0'(1'(1'(0'(0'(0'(0'(1'(0'(0'(1'(0'(0'(1'(1'(1'(1'(0'(0'(0'(0'(1'(1'(0'(1'(1'(0'(0'(0'(0'(0'(0'(1'(0'(1'(1'(1'(0'(1'(1'(0'(0'(1'(0'(1'(1'(1'(1'(0'(0'(0'(0'(0'(1'(1'(0'(0'(1'(0'(0'(1'(1'(0'(0'(0'(1'(0'(0'(0'(0'(1'(0'(0'(1'(0'(1'(1'(0'(1'(0'(0'(0'(0'(1'(1'(1'(1'(1'(1'(1'(0'(0'(1'(1'(1'(1'(1'(1'(1'(0'(1'(0'(1'(1'(1'(1'(1'(0'(0'(0'(1'(0'(1'(0'(1'(0'(0'(x1536))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: 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 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 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0'(0'(0'(0'(0'(1'(0'(0'(1'(1'(0'(1'(0'(0'(0'(0'(1'(1'(1'(0'(0'(1'(1'(1'(0'(1'(1'(0'(0'(0'(0'(1'(0'(0'(1'(1'(0'(0'(1'(1'(0'(0'(0'(1'(1'(0'(0'(1'(0'(1'(1'(0'(0'(0'(0'(1'(0'(0'(1'(0'(0'(1'(1'(1'(1'(0'(0'(0'(0'(1'(1'(0'(1'(1'(0'(0'(0'(0'(0'(0'(1'(0'(1'(1'(0'(0'(0'(1'(0'(1'(0'(0'(1'(0'(1'(0'(0'(0'(1'(0'(0'(1'(1'(1'(0'(0'(1'(1'(0'(0'(1'(0'(0'(0'(0'(1'(1'(0'(0'(1'(1'(0'(1'(0'(0'(0'(0'(0'(0'(1'(1'(1'(1'(1'(1'(0'(0'(0'(0'(0'(1'(1'(1'(1'(1'(1'(1'(0'(1'(1'(1'(0'(1'(1'(0'(0'(1'(1'(0'(0'(0'(0'(0'(0'(0'(x1538))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: x1538 >= 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 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + 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0'(0'(0'(0'(0'(1'(0'(0'(1'(1'(0'(1'(0'(0'(0'(0'(1'(1'(1'(0'(0'(1'(1'(1'(0'(1'(1'(0'(0'(0'(0'(1'(0'(0'(1'(1'(0'(0'(1'(1'(0'(0'(0'(1'(1'(0'(0'(1'(0'(1'(1'(0'(0'(0'(0'(1'(0'(0'(1'(0'(0'(1'(1'(1'(1'(0'(0'(0'(0'(1'(1'(0'(1'(1'(0'(0'(0'(0'(0'(0'(1'(0'(1'(0'(0'(1'(0'(1'(1'(0'(0'(0'(1'(1'(1'(0'(0'(1'(1'(1'(0'(1'(0'(0'(1'(0'(0'(1'(1'(0'(0'(1'(1'(1'(1'(0'(1'(1'(1'(0'(1'(0'(0'(1'(1'(1'(0'(0'(1'(0'(0'(0'(1'(0'(1'(1'(1'(1'(1'(0'(1'(0'(0'(0'(0'(0'(1'(1'(1'(1'(0'(1'(1'(1'(1'(0'(1'(1'(0'(0'(0'(0'(0'(1'(0'(x1533))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: 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 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 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0'(0'(0'(0'(0'(1'(0'(0'(1'(1'(0'(1'(0'(0'(0'(0'(1'(1'(1'(0'(0'(1'(1'(1'(0'(1'(1'(0'(0'(0'(0'(1'(0'(0'(1'(1'(0'(0'(1'(1'(0'(0'(0'(1'(1'(0'(0'(1'(0'(1'(1'(0'(0'(0'(0'(1'(0'(0'(1'(0'(0'(1'(1'(1'(1'(0'(0'(0'(0'(1'(1'(0'(1'(1'(0'(0'(0'(0'(0'(0'(1'(0'(1'(0'(0'(1'(0'(1'(1'(0'(0'(0'(1'(1'(1'(0'(0'(1'(1'(1'(0'(1'(0'(0'(1'(0'(0'(1'(1'(0'(0'(1'(1'(1'(1'(0'(1'(1'(1'(0'(1'(0'(0'(1'(1'(1'(0'(0'(1'(0'(0'(0'(1'(0'(1'(1'(1'(0'(1'(0'(1'(1'(0'(1'(1'(1'(1'(0'(0'(0'(0'(0'(0'(0'(0'(0'(1'(0'(0'(0'(0'(1'(0'(0'(0'(x1534))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: x1534 >= 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 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + 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0'(0'(0'(0'(0'(1'(0'(0'(1'(1'(0'(1'(0'(0'(0'(0'(1'(1'(1'(0'(0'(1'(1'(1'(0'(1'(1'(0'(0'(0'(0'(1'(0'(0'(1'(1'(0'(0'(1'(1'(0'(0'(0'(1'(1'(0'(0'(1'(0'(1'(1'(0'(0'(0'(0'(1'(0'(0'(1'(0'(0'(1'(1'(1'(1'(0'(0'(0'(0'(1'(1'(0'(1'(1'(0'(0'(0'(0'(0'(0'(1'(0'(1'(0'(0'(1'(0'(1'(1'(0'(0'(0'(1'(1'(1'(0'(0'(1'(1'(1'(0'(1'(0'(0'(1'(0'(0'(1'(1'(0'(0'(1'(1'(1'(1'(0'(1'(1'(1'(0'(1'(0'(0'(1'(0'(0'(0'(1'(1'(1'(1'(1'(0'(1'(0'(0'(0'(0'(0'(0'(1'(1'(1'(0'(1'(0'(0'(0'(0'(0'(1'(0'(1'(1'(1'(1'(1'(0'(0'(1'(0'(0'(0'(0'(0'(x1537))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: 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 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 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0'(0'(0'(0'(0'(1'(0'(0'(1'(1'(0'(1'(0'(0'(0'(0'(1'(1'(1'(0'(0'(1'(1'(1'(0'(1'(1'(0'(0'(0'(0'(1'(0'(0'(1'(1'(0'(0'(1'(1'(0'(0'(0'(1'(1'(0'(0'(1'(0'(1'(1'(0'(0'(0'(0'(1'(0'(0'(1'(0'(0'(1'(1'(1'(1'(0'(0'(0'(0'(1'(1'(0'(1'(1'(0'(0'(0'(0'(0'(0'(1'(0'(1'(0'(0'(0'(0'(0'(1'(0'(0'(1'(1'(0'(1'(0'(0'(0'(0'(1'(1'(1'(0'(0'(1'(1'(1'(0'(1'(1'(0'(0'(0'(0'(1'(0'(0'(1'(1'(0'(0'(1'(1'(0'(0'(0'(1'(1'(0'(0'(1'(0'(1'(0'(1'(1'(1'(1'(0'(0'(1'(1'(1'(1'(0'(0'(0'(0'(0'(0'(0'(0'(1'(1'(1'(1'(1'(1'(0'(1'(0'(0'(0'(0'(0'(1'(1'(x1535))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: 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 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + 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0'(0'(0'(0'(0'(1'(0'(0'(1'(1'(0'(1'(0'(0'(0'(0'(1'(1'(1'(0'(0'(1'(1'(1'(0'(1'(1'(0'(0'(0'(0'(1'(0'(0'(1'(1'(0'(0'(1'(1'(0'(0'(0'(1'(1'(0'(0'(1'(0'(1'(1'(0'(0'(0'(0'(1'(0'(0'(1'(0'(0'(1'(1'(1'(1'(0'(0'(0'(0'(1'(1'(0'(1'(1'(0'(0'(0'(0'(0'(0'(1'(0'(1'(0'(0'(0'(0'(0'(1'(0'(0'(1'(1'(0'(1'(0'(0'(0'(0'(1'(1'(1'(0'(0'(1'(1'(1'(0'(1'(1'(0'(0'(0'(0'(1'(0'(0'(1'(1'(0'(0'(1'(1'(0'(0'(0'(1'(1'(0'(0'(1'(0'(1'(0'(1'(1'(1'(1'(0'(0'(0'(1'(0'(0'(1'(1'(1'(0'(1'(0'(0'(1'(0'(0'(0'(0'(1'(0'(0'(0'(0'(0'(0'(0'(0'(x1532))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: x1532 >= 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 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + 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:|: 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 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (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'(0'(0'(0'(1'(0'(0'(1'(1'(0'(1'(0'(0'(0'(0'(1'(1'(1'(0'(0'(1'(1'(1'(0'(1'(1'(0'(0'(0'(0'(1'(0'(0'(1'(1'(0'(0'(1'(1'(0'(0'(0'(1'(1'(0'(0'(1'(0'(1'(1'(0'(0'(0'(0'(1'(0'(0'(1'(0'(0'(1'(1'(1'(1'(0'(0'(0'(0'(1'(1'(0'(1'(1'(0'(0'(0'(0'(0'(0'(1'(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 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0'(0'(0'(0'(0'(1'(0'(0'(1'(1'(0'(1'(0'(0'(0'(0'(1'(1'(1'(0'(0'(1'(1'(1'(0'(1'(1'(0'(0'(0'(0'(1'(0'(0'(1'(1'(0'(0'(1'(1'(0'(0'(0'(1'(1'(0'(0'(1'(0'(1'(0'(1'(1'(1'(1'(0'(0'(1'(1'(1'(1'(0'(0'(0'(1'(1'(1'(0'(0'(1'(1'(0'(0'(1'(0'(0'(0'(0'(1'(0'(0'(0'(1'(1'(0'(1'(1'(0'(0'(1'(0'(1'(1'(1'(1'(0'(0'(0'(0'(0'(1'(1'(0'(0'(1'(0'(0'(1'(1'(0'(0'(0'(1'(0'(0'(0'(0'(1'(0'(0'(1'(0'(1'(1'(0'(1'(0'(0'(0'(0'(1'(1'(1'(1'(1'(1'(1'(0'(0'(1'(1'(1'(1'(1'(1'(1'(0'(1'(0'(1'(1'(1'(1'(1'(0'(0'(0'(1'(0'(1'(0'(1'(0'(0'(x1443)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: 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 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + 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0'(0'(0'(0'(0'(1'(0'(0'(1'(1'(0'(1'(0'(0'(0'(0'(1'(1'(1'(0'(0'(1'(1'(1'(0'(1'(1'(0'(0'(0'(0'(1'(0'(0'(1'(1'(0'(0'(1'(1'(0'(0'(0'(1'(1'(0'(0'(1'(0'(1'(0'(1'(1'(1'(1'(0'(0'(1'(1'(1'(1'(0'(0'(0'(1'(1'(1'(0'(0'(1'(1'(0'(0'(1'(0'(0'(0'(0'(1'(0'(0'(0'(0'(0'(1'(0'(1'(1'(0'(0'(0'(1'(1'(1'(0'(0'(1'(1'(1'(0'(1'(0'(0'(1'(0'(0'(1'(1'(0'(0'(1'(1'(1'(1'(0'(1'(1'(1'(0'(1'(0'(0'(1'(1'(1'(0'(0'(1'(0'(0'(0'(1'(0'(1'(1'(1'(1'(1'(0'(1'(0'(0'(0'(0'(0'(1'(1'(1'(1'(0'(1'(1'(1'(1'(0'(1'(1'(0'(0'(0'(0'(0'(1'(0'(x1440)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: x1440 >= 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 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + 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0'(0'(0'(0'(0'(1'(0'(0'(1'(1'(0'(1'(0'(0'(0'(0'(1'(1'(1'(0'(0'(1'(1'(1'(0'(1'(1'(0'(0'(0'(0'(1'(0'(0'(1'(1'(0'(0'(1'(1'(0'(0'(0'(1'(1'(0'(0'(1'(0'(1'(0'(1'(1'(1'(1'(0'(0'(1'(1'(1'(1'(0'(0'(0'(1'(1'(1'(0'(0'(1'(1'(0'(0'(1'(0'(0'(0'(0'(1'(0'(0'(0'(0'(0'(1'(0'(1'(1'(0'(0'(0'(1'(1'(1'(0'(0'(1'(1'(1'(0'(1'(0'(0'(1'(0'(0'(1'(1'(0'(0'(1'(1'(1'(1'(0'(1'(1'(1'(0'(1'(0'(0'(1'(1'(1'(0'(0'(1'(0'(0'(0'(1'(0'(1'(1'(1'(0'(1'(0'(1'(1'(0'(1'(1'(1'(1'(0'(0'(0'(0'(0'(0'(0'(0'(0'(1'(0'(0'(0'(0'(1'(0'(0'(0'(x1441)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: 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 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + 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0'(0'(0'(0'(0'(1'(0'(0'(1'(1'(0'(1'(0'(0'(0'(0'(1'(1'(1'(0'(0'(1'(1'(1'(0'(1'(1'(0'(0'(0'(0'(1'(0'(0'(1'(1'(0'(0'(1'(1'(0'(0'(0'(1'(1'(0'(0'(1'(0'(1'(0'(1'(1'(1'(1'(0'(0'(1'(1'(1'(1'(0'(0'(0'(1'(1'(1'(0'(0'(1'(1'(0'(0'(1'(0'(0'(0'(0'(1'(0'(0'(0'(0'(0'(1'(0'(1'(1'(0'(0'(0'(1'(1'(1'(0'(0'(1'(1'(1'(0'(1'(0'(0'(1'(0'(0'(1'(1'(0'(0'(1'(1'(1'(1'(0'(1'(1'(1'(0'(1'(0'(0'(1'(0'(0'(0'(1'(1'(1'(1'(1'(0'(1'(0'(0'(0'(0'(0'(0'(1'(1'(1'(0'(1'(0'(0'(0'(0'(0'(1'(0'(1'(1'(1'(1'(1'(0'(0'(1'(0'(0'(0'(0'(0'(x1444)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: 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 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + 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0'(0'(0'(0'(0'(1'(0'(0'(1'(1'(0'(1'(0'(0'(0'(0'(1'(1'(1'(0'(0'(1'(1'(1'(0'(1'(1'(0'(0'(0'(0'(1'(0'(0'(1'(1'(0'(0'(1'(1'(0'(0'(0'(1'(1'(0'(0'(1'(0'(1'(0'(1'(1'(1'(1'(0'(0'(1'(1'(1'(1'(0'(0'(0'(1'(1'(1'(0'(0'(1'(1'(0'(0'(1'(0'(0'(0'(0'(1'(0'(0'(0'(0'(0'(0'(0'(0'(1'(0'(0'(1'(1'(0'(1'(0'(0'(0'(0'(1'(1'(1'(0'(0'(1'(1'(1'(0'(1'(1'(0'(0'(0'(0'(1'(0'(0'(1'(1'(0'(0'(1'(1'(0'(0'(0'(1'(1'(0'(0'(1'(0'(1'(0'(1'(1'(1'(1'(0'(0'(1'(1'(1'(1'(0'(0'(0'(0'(0'(0'(0'(0'(1'(1'(1'(1'(1'(1'(0'(1'(0'(0'(0'(0'(0'(1'(1'(x1442)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: x1442 >= 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 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + 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0'(0'(0'(0'(0'(1'(0'(0'(1'(1'(0'(1'(0'(0'(0'(0'(1'(1'(1'(0'(0'(1'(1'(1'(0'(1'(1'(0'(0'(0'(0'(1'(0'(0'(1'(1'(0'(0'(1'(1'(0'(0'(0'(1'(1'(0'(0'(1'(0'(1'(0'(1'(1'(1'(1'(0'(0'(1'(1'(1'(1'(0'(0'(0'(1'(1'(1'(0'(0'(1'(1'(0'(0'(1'(0'(0'(0'(0'(1'(0'(0'(0'(0'(0'(0'(0'(0'(1'(0'(0'(1'(1'(0'(1'(0'(0'(0'(0'(1'(1'(1'(0'(0'(1'(1'(1'(0'(1'(1'(0'(0'(0'(0'(1'(0'(0'(1'(1'(0'(0'(1'(1'(0'(0'(0'(1'(1'(0'(0'(1'(0'(1'(0'(1'(1'(1'(1'(0'(0'(0'(1'(0'(0'(1'(1'(1'(0'(1'(0'(0'(1'(0'(0'(0'(0'(1'(0'(0'(0'(0'(0'(0'(0'(0'(x1439)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: x1439 >= 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 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + 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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 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (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'(0'(0'(0'(1'(0'(0'(1'(1'(0'(1'(0'(0'(0'(0'(1'(1'(1'(0'(0'(1'(1'(1'(0'(1'(1'(0'(0'(0'(0'(1'(0'(0'(1'(1'(0'(0'(1'(1'(0'(0'(0'(1'(1'(0'(0'(1'(0'(1'(0'(1'(1'(1'(1'(0'(0'(1'(1'(1'(1'(0'(0'(0'(1'(1'(1'(0'(0'(1'(1'(0'(0'(1'(0'(0'(0'(0'(1'(0'(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 + 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0'(0'(0'(0'(0'(1'(0'(0'(1'(1'(0'(1'(0'(0'(0'(0'(1'(1'(1'(0'(0'(1'(1'(1'(0'(1'(1'(0'(0'(0'(0'(1'(0'(0'(1'(1'(0'(0'(1'(1'(0'(0'(0'(1'(1'(0'(0'(1'(0'(1'(0'(1'(1'(1'(1'(0'(0'(1'(1'(1'(1'(0'(0'(0'(0'(0'(0'(0'(0'(1'(1'(1'(1'(1'(1'(0'(1'(0'(0'(0'(1'(0'(1'(1'(1'(1'(0'(0'(0'(1'(0'(1'(0'(0'(1'(0'(1'(0'(0'(0'(1'(0'(0'(1'(1'(1'(0'(0'(1'(1'(0'(0'(1'(0'(0'(0'(0'(1'(1'(0'(0'(1'(1'(0'(1'(0'(0'(0'(0'(0'(0'(1'(1'(1'(1'(1'(1'(0'(0'(0'(0'(0'(1'(1'(1'(1'(1'(1'(1'(0'(1'(1'(1'(0'(1'(1'(0'(0'(1'(1'(0'(0'(0'(0'(0'(0'(0'(x1407))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: x1407 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 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0'(0'(0'(0'(0'(1'(0'(0'(1'(1'(0'(1'(0'(0'(0'(0'(1'(1'(1'(0'(0'(1'(1'(1'(0'(1'(1'(0'(0'(0'(0'(1'(0'(0'(1'(1'(0'(0'(1'(1'(0'(0'(0'(1'(1'(0'(0'(1'(0'(1'(0'(1'(1'(1'(1'(0'(0'(1'(1'(1'(1'(0'(0'(0'(0'(0'(0'(0'(0'(1'(1'(1'(1'(1'(1'(0'(1'(0'(0'(0'(1'(0'(1'(1'(1'(0'(0'(1'(0'(1'(1'(0'(0'(0'(1'(1'(1'(0'(0'(1'(1'(1'(0'(1'(0'(0'(1'(0'(0'(1'(1'(0'(0'(1'(1'(1'(1'(0'(1'(1'(1'(0'(1'(0'(0'(1'(1'(1'(0'(0'(1'(0'(0'(0'(1'(0'(1'(1'(1'(1'(1'(0'(1'(0'(0'(0'(0'(0'(1'(1'(1'(1'(0'(1'(1'(1'(1'(0'(1'(1'(0'(0'(0'(0'(0'(1'(0'(x1402))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: 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 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + 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0'(0'(0'(0'(0'(1'(0'(0'(1'(1'(0'(1'(0'(0'(0'(0'(1'(1'(1'(0'(0'(1'(1'(1'(0'(1'(1'(0'(0'(0'(0'(1'(0'(0'(1'(1'(0'(0'(1'(1'(0'(0'(0'(1'(1'(0'(0'(1'(0'(1'(0'(1'(1'(1'(1'(0'(0'(1'(1'(1'(1'(0'(0'(0'(0'(0'(0'(0'(0'(1'(1'(1'(1'(1'(1'(0'(1'(0'(0'(0'(1'(0'(1'(1'(1'(0'(0'(1'(0'(1'(1'(0'(0'(0'(1'(1'(1'(0'(0'(1'(1'(1'(0'(1'(0'(0'(1'(0'(0'(1'(1'(0'(0'(1'(1'(1'(1'(0'(1'(1'(1'(0'(1'(0'(0'(1'(1'(1'(0'(0'(1'(0'(0'(0'(1'(0'(1'(1'(1'(0'(1'(0'(1'(1'(0'(1'(1'(1'(1'(0'(0'(0'(0'(0'(0'(0'(0'(0'(1'(0'(0'(0'(0'(1'(0'(0'(0'(x1403))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: 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 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + 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0'(0'(0'(0'(0'(1'(0'(0'(1'(1'(0'(1'(0'(0'(0'(0'(1'(1'(1'(0'(0'(1'(1'(1'(0'(1'(1'(0'(0'(0'(0'(1'(0'(0'(1'(1'(0'(0'(1'(1'(0'(0'(0'(1'(1'(0'(0'(1'(0'(1'(0'(1'(1'(1'(1'(0'(0'(1'(1'(1'(1'(0'(0'(0'(0'(0'(0'(0'(0'(1'(1'(1'(1'(1'(1'(0'(1'(0'(0'(0'(1'(0'(1'(1'(1'(0'(0'(1'(0'(1'(1'(0'(0'(0'(1'(1'(1'(0'(0'(1'(1'(1'(0'(1'(0'(0'(1'(0'(0'(1'(1'(0'(0'(1'(1'(1'(1'(0'(1'(1'(1'(0'(1'(0'(0'(1'(0'(0'(0'(1'(1'(1'(1'(1'(0'(1'(0'(0'(0'(0'(0'(0'(1'(1'(1'(0'(1'(0'(0'(0'(0'(0'(1'(0'(1'(1'(1'(1'(1'(0'(0'(1'(0'(0'(0'(0'(0'(x1406))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: x1406 >= 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 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 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0'(0'(0'(0'(0'(1'(0'(0'(1'(1'(0'(1'(0'(0'(0'(0'(1'(1'(1'(0'(0'(1'(1'(1'(0'(1'(1'(0'(0'(0'(0'(1'(0'(0'(1'(1'(0'(0'(1'(1'(0'(0'(0'(1'(1'(0'(0'(1'(0'(1'(0'(1'(1'(1'(1'(0'(0'(1'(1'(1'(1'(0'(0'(0'(0'(0'(0'(0'(0'(1'(1'(1'(1'(1'(1'(0'(1'(0'(0'(0'(1'(0'(1'(1'(1'(0'(0'(0'(0'(0'(1'(0'(0'(1'(1'(0'(1'(0'(0'(0'(0'(1'(1'(1'(0'(0'(1'(1'(1'(0'(1'(1'(0'(0'(0'(0'(1'(0'(0'(1'(1'(0'(0'(1'(1'(0'(0'(0'(1'(1'(0'(0'(1'(0'(1'(0'(1'(1'(1'(1'(0'(0'(1'(1'(1'(1'(0'(0'(0'(0'(0'(0'(0'(0'(1'(1'(1'(1'(1'(1'(0'(1'(0'(0'(0'(0'(0'(1'(1'(x1404))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: 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 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + 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0'(0'(0'(0'(0'(1'(0'(0'(1'(1'(0'(1'(0'(0'(0'(0'(1'(1'(1'(0'(0'(1'(1'(1'(0'(1'(1'(0'(0'(0'(0'(1'(0'(0'(1'(1'(0'(0'(1'(1'(0'(0'(0'(1'(1'(0'(0'(1'(0'(1'(0'(1'(1'(1'(1'(0'(0'(1'(1'(1'(1'(0'(0'(0'(0'(0'(0'(0'(0'(1'(1'(1'(1'(1'(1'(0'(1'(0'(0'(0'(1'(0'(1'(1'(1'(0'(0'(0'(0'(0'(1'(0'(0'(1'(1'(0'(1'(0'(0'(0'(0'(1'(1'(1'(0'(0'(1'(1'(1'(0'(1'(1'(0'(0'(0'(0'(1'(0'(0'(1'(1'(0'(0'(1'(1'(0'(0'(0'(1'(1'(0'(0'(1'(0'(1'(0'(1'(1'(1'(1'(0'(0'(0'(1'(0'(0'(1'(1'(1'(0'(1'(0'(0'(1'(0'(0'(0'(0'(1'(0'(0'(0'(0'(0'(0'(0'(0'(x1401))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: x1401 >= 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 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 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:|: 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 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (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'(0'(0'(0'(1'(0'(0'(1'(1'(0'(1'(0'(0'(0'(0'(1'(1'(1'(0'(0'(1'(1'(1'(0'(1'(1'(0'(0'(0'(0'(1'(0'(0'(1'(1'(0'(0'(1'(1'(0'(0'(0'(1'(1'(0'(0'(1'(0'(1'(0'(1'(1'(1'(1'(0'(0'(1'(1'(1'(1'(0'(0'(0'(0'(0'(0'(0'(0'(1'(1'(1'(1'(1'(1'(0'(1'(0'(0'(0'(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 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0'(0'(0'(0'(0'(1'(0'(0'(1'(1'(0'(1'(0'(0'(0'(0'(1'(1'(1'(0'(0'(1'(1'(1'(0'(1'(1'(0'(0'(0'(0'(1'(0'(0'(1'(1'(0'(0'(1'(1'(0'(0'(0'(1'(1'(0'(0'(1'(0'(1'(0'(1'(1'(1'(1'(0'(0'(1'(1'(1'(1'(0'(0'(0'(0'(0'(0'(0'(0'(1'(1'(1'(1'(0'(0'(0'(1'(0'(1'(1'(0'(0'(1'(1'(0'(1'(1'(0'(0'(1'(0'(1'(1'(1'(1'(0'(0'(0'(0'(0'(1'(1'(0'(0'(1'(0'(0'(1'(1'(0'(0'(0'(1'(0'(0'(0'(0'(1'(0'(0'(1'(0'(1'(1'(0'(1'(0'(0'(0'(0'(1'(1'(1'(1'(1'(1'(1'(0'(0'(1'(1'(1'(1'(1'(1'(1'(0'(1'(0'(1'(1'(1'(1'(1'(0'(0'(0'(1'(0'(1'(0'(1'(0'(0'(x1374)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: x1374 >= 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 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + 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0'(0'(0'(0'(0'(1'(0'(0'(1'(1'(0'(1'(0'(0'(0'(0'(1'(1'(1'(0'(0'(1'(1'(1'(0'(1'(1'(0'(0'(0'(0'(1'(0'(0'(1'(1'(0'(0'(1'(1'(0'(0'(0'(1'(1'(0'(0'(1'(0'(1'(0'(1'(1'(1'(1'(0'(0'(1'(1'(1'(1'(0'(0'(0'(0'(0'(0'(0'(0'(1'(1'(1'(1'(0'(0'(0'(1'(0'(1'(1'(0'(0'(1'(0'(0'(0'(1'(0'(1'(0'(0'(1'(0'(1'(0'(0'(0'(1'(0'(0'(1'(1'(1'(0'(0'(1'(1'(0'(0'(1'(0'(0'(0'(0'(1'(1'(0'(0'(1'(1'(0'(1'(0'(0'(0'(0'(0'(0'(1'(1'(1'(1'(1'(1'(0'(0'(0'(0'(0'(1'(1'(1'(1'(1'(1'(1'(0'(1'(1'(1'(0'(1'(1'(0'(0'(1'(1'(0'(0'(0'(0'(0'(0'(0'(x1376)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: 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 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + 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0'(0'(0'(0'(0'(1'(0'(0'(1'(1'(0'(1'(0'(0'(0'(0'(1'(1'(1'(0'(0'(1'(1'(1'(0'(1'(1'(0'(0'(0'(0'(1'(0'(0'(1'(1'(0'(0'(1'(1'(0'(0'(0'(1'(1'(0'(0'(1'(0'(1'(0'(1'(1'(1'(1'(0'(0'(1'(1'(1'(1'(0'(0'(0'(0'(0'(0'(0'(0'(1'(1'(1'(1'(0'(0'(0'(1'(0'(1'(1'(0'(0'(0'(0'(1'(0'(1'(1'(0'(0'(0'(1'(1'(1'(0'(0'(1'(1'(1'(0'(1'(0'(0'(1'(0'(0'(1'(1'(0'(0'(1'(1'(1'(1'(0'(1'(1'(1'(0'(1'(0'(0'(1'(1'(1'(0'(0'(1'(0'(0'(0'(1'(0'(1'(1'(1'(1'(1'(0'(1'(0'(0'(0'(0'(0'(1'(1'(1'(1'(0'(1'(1'(1'(1'(0'(1'(1'(0'(0'(0'(0'(0'(1'(0'(x1371)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: x1371 >= 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 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + 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0'(0'(0'(0'(0'(1'(0'(0'(1'(1'(0'(1'(0'(0'(0'(0'(1'(1'(1'(0'(0'(1'(1'(1'(0'(1'(1'(0'(0'(0'(0'(1'(0'(0'(1'(1'(0'(0'(1'(1'(0'(0'(0'(1'(1'(0'(0'(1'(0'(1'(0'(1'(1'(1'(1'(0'(0'(1'(1'(1'(1'(0'(0'(0'(0'(0'(0'(0'(0'(1'(1'(1'(1'(0'(0'(0'(1'(0'(1'(1'(0'(0'(0'(0'(1'(0'(1'(1'(0'(0'(0'(1'(1'(1'(0'(0'(1'(1'(1'(0'(1'(0'(0'(1'(0'(0'(1'(1'(0'(0'(1'(1'(1'(1'(0'(1'(1'(1'(0'(1'(0'(0'(1'(1'(1'(0'(0'(1'(0'(0'(0'(1'(0'(1'(1'(1'(0'(1'(0'(1'(1'(0'(1'(1'(1'(1'(0'(0'(0'(0'(0'(0'(0'(0'(0'(1'(0'(0'(0'(0'(1'(0'(0'(0'(x1372)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: 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 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + 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0'(0'(0'(0'(0'(1'(0'(0'(1'(1'(0'(1'(0'(0'(0'(0'(1'(1'(1'(0'(0'(1'(1'(1'(0'(1'(1'(0'(0'(0'(0'(1'(0'(0'(1'(1'(0'(0'(1'(1'(0'(0'(0'(1'(1'(0'(0'(1'(0'(1'(0'(1'(1'(1'(1'(0'(0'(1'(1'(1'(1'(0'(0'(0'(0'(0'(0'(0'(0'(1'(1'(1'(1'(0'(0'(0'(1'(0'(1'(1'(0'(0'(0'(0'(1'(0'(1'(1'(0'(0'(0'(1'(1'(1'(0'(0'(1'(1'(1'(0'(1'(0'(0'(1'(0'(0'(1'(1'(0'(0'(1'(1'(1'(1'(0'(1'(1'(1'(0'(1'(0'(0'(1'(0'(0'(0'(1'(1'(1'(1'(1'(0'(1'(0'(0'(0'(0'(0'(0'(1'(1'(1'(0'(1'(0'(0'(0'(0'(0'(1'(0'(1'(1'(1'(1'(1'(0'(0'(1'(0'(0'(0'(0'(0'(x1375)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + 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0'(0'(0'(0'(0'(1'(0'(0'(1'(1'(0'(1'(0'(0'(0'(0'(1'(1'(1'(0'(0'(1'(1'(1'(0'(1'(1'(0'(0'(0'(0'(1'(0'(0'(1'(1'(0'(0'(1'(1'(0'(0'(0'(1'(1'(0'(0'(1'(0'(1'(0'(1'(1'(1'(1'(0'(0'(1'(1'(1'(1'(0'(0'(0'(0'(0'(0'(0'(0'(1'(1'(1'(1'(0'(0'(0'(1'(0'(1'(1'(0'(0'(0'(0'(0'(0'(0'(1'(0'(0'(1'(1'(0'(1'(0'(0'(0'(0'(1'(1'(1'(0'(0'(1'(1'(1'(0'(1'(1'(0'(0'(0'(0'(1'(0'(0'(1'(1'(0'(0'(1'(1'(0'(0'(0'(1'(1'(0'(0'(1'(0'(1'(0'(1'(1'(1'(1'(0'(0'(1'(1'(1'(1'(0'(0'(0'(0'(0'(0'(0'(0'(1'(1'(1'(1'(1'(1'(0'(1'(0'(0'(0'(0'(0'(1'(1'(x1373)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: 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 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 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0'(0'(0'(0'(0'(1'(0'(0'(1'(1'(0'(1'(0'(0'(0'(0'(1'(1'(1'(0'(0'(1'(1'(1'(0'(1'(1'(0'(0'(0'(0'(1'(0'(0'(1'(1'(0'(0'(1'(1'(0'(0'(0'(1'(1'(0'(0'(1'(0'(1'(0'(1'(1'(1'(1'(0'(0'(1'(1'(1'(1'(0'(0'(0'(0'(0'(0'(0'(0'(1'(1'(1'(1'(0'(0'(0'(1'(0'(1'(1'(0'(0'(0'(0'(0'(0'(0'(1'(0'(0'(1'(1'(0'(1'(0'(0'(0'(0'(1'(1'(1'(0'(0'(1'(1'(1'(0'(1'(1'(0'(0'(0'(0'(1'(0'(0'(1'(1'(0'(0'(1'(1'(0'(0'(0'(1'(1'(0'(0'(1'(0'(1'(0'(1'(1'(1'(1'(0'(0'(0'(1'(0'(0'(1'(1'(1'(0'(1'(0'(0'(1'(0'(0'(0'(0'(1'(0'(0'(0'(0'(0'(0'(0'(0'(x1370)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: x1370 >= 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 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + 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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 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (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'(0'(0'(0'(1'(0'(0'(1'(1'(0'(1'(0'(0'(0'(0'(1'(1'(1'(0'(0'(1'(1'(1'(0'(1'(1'(0'(0'(0'(0'(1'(0'(0'(1'(1'(0'(0'(1'(1'(0'(0'(0'(1'(1'(0'(0'(1'(0'(1'(0'(1'(1'(1'(1'(0'(0'(1'(1'(1'(1'(0'(0'(0'(0'(0'(0'(0'(0'(1'(1'(1'(1'(0'(0'(0'(1'(0'(1'(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 + 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0'(0'(1'(0'(1'(1'(0'(0'(0'(1'(1'(1'(0'(0'(1'(1'(1'(0'(1'(0'(0'(1'(0'(0'(1'(1'(0'(0'(1'(1'(1'(1'(0'(1'(1'(1'(0'(1'(0'(0'(1'(1'(1'(0'(0'(1'(0'(0'(0'(1'(0'(1'(1'(1'(1'(1'(0'(1'(0'(0'(0'(0'(0'(1'(1'(1'(1'(0'(1'(1'(1'(1'(0'(1'(1'(0'(0'(0'(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 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (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 }-> 0'(0'(1'(0'(1'(1'(0'(0'(0'(1'(1'(1'(0'(0'(1'(1'(1'(0'(1'(0'(0'(1'(0'(0'(1'(1'(0'(0'(1'(1'(1'(1'(0'(1'(1'(1'(0'(1'(0'(0'(1'(1'(1'(0'(0'(1'(0'(0'(0'(1'(0'(1'(1'(1'(0'(1'(0'(1'(1'(0'(1'(1'(1'(1'(0'(0'(0'(0'(0'(0'(0'(0'(0'(1'(0'(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 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (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 }-> 0'(0'(1'(0'(1'(1'(0'(0'(0'(1'(1'(1'(0'(0'(1'(1'(1'(0'(1'(0'(0'(1'(0'(0'(1'(1'(0'(0'(1'(1'(1'(1'(0'(1'(1'(1'(0'(1'(0'(0'(1'(0'(0'(0'(1'(1'(1'(1'(1'(0'(1'(0'(0'(0'(0'(0'(0'(1'(1'(1'(0'(1'(0'(0'(0'(0'(0'(1'(0'(1'(1'(1'(1'(1'(0'(0'(1'(0'(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 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) 1'(z) -{ 2 }-> 0'(0'(0'(0'(0'(1'(0'(0'(1'(1'(0'(1'(0'(0'(0'(0'(1'(1'(1'(0'(0'(1'(1'(1'(0'(1'(1'(0'(0'(0'(0'(1'(0'(0'(1'(1'(0'(0'(1'(1'(0'(0'(0'(1'(1'(0'(0'(1'(0'(1'(0'(1'(1'(1'(1'(0'(0'(1'(1'(1'(1'(0'(0'(0'(0'(0'(0'(0'(0'(1'(1'(1'(1'(1'(1'(0'(1'(0'(0'(0'(0'(0'(1'(1'(1'(0'(1'(1'(0'(0'(1'(0'(1'(1'(1'(1'(0'(0'(0'(0'(0'(1'(1'(0'(0'(1'(0'(0'(1'(1'(0'(0'(0'(1'(0'(0'(0'(0'(1'(0'(0'(1'(0'(1'(1'(0'(1'(0'(0'(0'(0'(1'(1'(1'(1'(1'(1'(1'(0'(0'(1'(1'(1'(1'(1'(1'(1'(0'(1'(0'(1'(1'(1'(1'(1'(0'(0'(0'(1'(0'(1'(0'(1'(0'(0'(x1295))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: x1295 >= 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 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + 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0'(0'(0'(0'(0'(1'(0'(0'(1'(1'(0'(1'(0'(0'(0'(0'(1'(1'(1'(0'(0'(1'(1'(1'(0'(1'(1'(0'(0'(0'(0'(1'(0'(0'(1'(1'(0'(0'(1'(1'(0'(0'(0'(1'(1'(0'(0'(1'(0'(1'(0'(1'(1'(1'(1'(0'(0'(1'(1'(1'(1'(0'(0'(0'(0'(0'(0'(0'(0'(1'(1'(1'(1'(1'(1'(0'(1'(0'(0'(0'(0'(0'(1'(1'(0'(0'(0'(1'(0'(1'(0'(0'(1'(0'(1'(0'(0'(0'(1'(0'(0'(1'(1'(1'(0'(0'(1'(1'(0'(0'(1'(0'(0'(0'(0'(1'(1'(0'(0'(1'(1'(0'(1'(0'(0'(0'(0'(0'(0'(1'(1'(1'(1'(1'(1'(0'(0'(0'(0'(0'(1'(1'(1'(1'(1'(1'(1'(0'(1'(1'(1'(0'(1'(1'(0'(0'(1'(1'(0'(0'(0'(0'(0'(0'(0'(x1297))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: 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 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 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0'(0'(0'(0'(0'(1'(0'(0'(1'(1'(0'(1'(0'(0'(0'(0'(1'(1'(1'(0'(0'(1'(1'(1'(0'(1'(1'(0'(0'(0'(0'(1'(0'(0'(1'(1'(0'(0'(1'(1'(0'(0'(0'(1'(1'(0'(0'(1'(0'(1'(0'(1'(1'(1'(1'(0'(0'(1'(1'(1'(1'(0'(0'(0'(0'(0'(0'(0'(0'(1'(1'(1'(1'(1'(1'(0'(1'(0'(0'(0'(0'(0'(1'(0'(0'(1'(0'(1'(1'(0'(0'(0'(1'(1'(1'(0'(0'(1'(1'(1'(0'(1'(0'(0'(1'(0'(0'(1'(1'(0'(0'(1'(1'(1'(1'(0'(1'(1'(1'(0'(1'(0'(0'(1'(1'(1'(0'(0'(1'(0'(0'(0'(1'(0'(1'(1'(1'(1'(1'(0'(1'(0'(0'(0'(0'(0'(1'(1'(1'(1'(0'(1'(1'(1'(1'(0'(1'(1'(0'(0'(0'(0'(0'(1'(0'(x1292))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: 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 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 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0'(0'(0'(0'(0'(1'(0'(0'(1'(1'(0'(1'(0'(0'(0'(0'(1'(1'(1'(0'(0'(1'(1'(1'(0'(1'(1'(0'(0'(0'(0'(1'(0'(0'(1'(1'(0'(0'(1'(1'(0'(0'(0'(1'(1'(0'(0'(1'(0'(1'(0'(1'(1'(1'(1'(0'(0'(1'(1'(1'(1'(0'(0'(0'(0'(0'(0'(0'(0'(1'(1'(1'(1'(1'(1'(0'(1'(0'(0'(0'(0'(0'(1'(0'(0'(1'(0'(1'(1'(0'(0'(0'(1'(1'(1'(0'(0'(1'(1'(1'(0'(1'(0'(0'(1'(0'(0'(1'(1'(0'(0'(1'(1'(1'(1'(0'(1'(1'(1'(0'(1'(0'(0'(1'(1'(1'(0'(0'(1'(0'(0'(0'(1'(0'(1'(1'(1'(0'(1'(0'(1'(1'(0'(1'(1'(1'(1'(0'(0'(0'(0'(0'(0'(0'(0'(0'(1'(0'(0'(0'(0'(1'(0'(0'(0'(x1293))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: x1293 >= 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 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1293))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) 1'(z) -{ 2 }-> 0'(0'(0'(0'(0'(1'(0'(0'(1'(1'(0'(1'(0'(0'(0'(0'(1'(1'(1'(0'(0'(1'(1'(1'(0'(1'(1'(0'(0'(0'(0'(1'(0'(0'(1'(1'(0'(0'(1'(1'(0'(0'(0'(1'(1'(0'(0'(1'(0'(1'(0'(1'(1'(1'(1'(0'(0'(1'(1'(1'(1'(0'(0'(0'(0'(0'(0'(0'(0'(1'(1'(1'(1'(1'(1'(0'(1'(0'(0'(0'(0'(0'(1'(0'(0'(1'(0'(1'(1'(0'(0'(0'(1'(1'(1'(0'(0'(1'(1'(1'(0'(1'(0'(0'(1'(0'(0'(1'(1'(0'(0'(1'(1'(1'(1'(0'(1'(1'(1'(0'(1'(0'(0'(1'(0'(0'(0'(1'(1'(1'(1'(1'(0'(1'(0'(0'(0'(0'(0'(0'(1'(1'(1'(0'(1'(0'(0'(0'(0'(0'(1'(0'(1'(1'(1'(1'(1'(0'(0'(1'(0'(0'(0'(0'(0'(x1296))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: 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 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1296))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))), x1296 >= 0 1'(z) -{ 2 }-> 0'(0'(0'(0'(0'(1'(0'(0'(1'(1'(0'(1'(0'(0'(0'(0'(1'(1'(1'(0'(0'(1'(1'(1'(0'(1'(1'(0'(0'(0'(0'(1'(0'(0'(1'(1'(0'(0'(1'(1'(0'(0'(0'(1'(1'(0'(0'(1'(0'(1'(0'(1'(1'(1'(1'(0'(0'(1'(1'(1'(1'(0'(0'(0'(0'(0'(0'(0'(0'(1'(1'(1'(1'(1'(1'(0'(1'(0'(0'(0'(0'(0'(1'(0'(0'(0'(0'(0'(1'(0'(0'(1'(1'(0'(1'(0'(0'(0'(0'(1'(1'(1'(0'(0'(1'(1'(1'(0'(1'(1'(0'(0'(0'(0'(1'(0'(0'(1'(1'(0'(0'(1'(1'(0'(0'(0'(1'(1'(0'(0'(1'(0'(1'(0'(1'(1'(1'(1'(0'(0'(1'(1'(1'(1'(0'(0'(0'(0'(0'(0'(0'(0'(1'(1'(1'(1'(1'(1'(0'(1'(0'(0'(0'(0'(0'(1'(1'(x1294))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: 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 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1294))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))), x1294 >= 0 1'(z) -{ 2 }-> 0'(0'(0'(0'(0'(1'(0'(0'(1'(1'(0'(1'(0'(0'(0'(0'(1'(1'(1'(0'(0'(1'(1'(1'(0'(1'(1'(0'(0'(0'(0'(1'(0'(0'(1'(1'(0'(0'(1'(1'(0'(0'(0'(1'(1'(0'(0'(1'(0'(1'(0'(1'(1'(1'(1'(0'(0'(1'(1'(1'(1'(0'(0'(0'(0'(0'(0'(0'(0'(1'(1'(1'(1'(1'(1'(0'(1'(0'(0'(0'(0'(0'(1'(0'(0'(0'(0'(0'(1'(0'(0'(1'(1'(0'(1'(0'(0'(0'(0'(1'(1'(1'(0'(0'(1'(1'(1'(0'(1'(1'(0'(0'(0'(0'(1'(0'(0'(1'(1'(0'(0'(1'(1'(0'(0'(0'(1'(1'(0'(0'(1'(0'(1'(0'(1'(1'(1'(1'(0'(0'(0'(1'(0'(0'(1'(1'(1'(0'(1'(0'(0'(1'(0'(0'(0'(0'(1'(0'(0'(0'(0'(0'(0'(0'(0'(x1291))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: 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 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1291))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))), x1291 >= 0 1'(z) -{ 1 }-> 0'(0'(0'(0'(0'(1'(0'(0'(1'(1'(0'(1'(0'(0'(0'(0'(1'(1'(1'(0'(0'(1'(1'(1'(0'(1'(1'(0'(0'(0'(0'(1'(0'(0'(1'(1'(0'(0'(1'(1'(0'(0'(0'(1'(1'(0'(0'(1'(0'(1'(0'(1'(1'(1'(1'(0'(0'(1'(1'(1'(1'(0'(0'(0'(0'(0'(0'(0'(0'(1'(1'(1'(1'(1'(1'(0'(1'(0'(0'(0'(0'(0'(1'(0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (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 }-> 0'(0'(0'(0'(0'(1'(0'(0'(1'(1'(0'(1'(0'(0'(0'(0'(1'(1'(1'(0'(0'(1'(1'(1'(0'(1'(1'(0'(0'(0'(0'(1'(0'(0'(1'(1'(0'(0'(1'(1'(0'(0'(0'(1'(1'(0'(0'(1'(0'(1'(0'(1'(1'(1'(1'(0'(0'(1'(1'(1'(1'(0'(0'(0'(0'(0'(0'(0'(0'(1'(1'(1'(1'(1'(1'(0'(1'(0'(0'(0'(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 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (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 }-> 0'(0'(0'(0'(0'(1'(0'(0'(1'(1'(0'(1'(0'(0'(0'(0'(1'(1'(1'(0'(0'(1'(1'(1'(0'(1'(1'(0'(0'(0'(0'(1'(0'(0'(1'(1'(0'(0'(1'(1'(0'(0'(0'(1'(1'(0'(0'(1'(0'(1'(0'(1'(1'(1'(1'(0'(0'(0'(1'(0'(0'(1'(1'(1'(0'(1'(0'(0'(1'(0'(0'(0'(0'(1'(0'(0'(0'(0'(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 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (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) -{ 0 }-> 0 :|: v0 >= 0, z = v0 1'(z) -{ 0 }-> 1 + x0 :|: z = x0, x0 >= 0 encArg(z) -{ 0 }-> 1'(1'(encArg(x_12))) :|: z = 1 + (1 + x_12), x_12 >= 0 encArg(z) -{ 0 }-> 1'(0'(encArg(x_11))) :|: x_11 >= 0, z = 1 + (1 + x_11) encArg(z) -{ 0 }-> 1'(0) :|: z = 1 + x_1, x_1 >= 0 encArg(z) -{ 0 }-> 0'(1'(encArg(x_1''))) :|: z = 1 + (1 + x_1''), x_1'' >= 0 encArg(z) -{ 0 }-> 0'(0'(encArg(x_1'))) :|: z = 1 + (1 + x_1'), x_1' >= 0 encArg(z) -{ 0 }-> 0'(0) :|: z = 1 + x_1, x_1 >= 0 encArg(z) -{ 0 }-> 0 :|: v0 >= 0, z = v0 encode_0(z) -{ 0 }-> 0'(1'(encArg(x_14))) :|: x_14 >= 0, z = 1 + x_14 encode_0(z) -{ 0 }-> 0'(0'(encArg(x_13))) :|: z = 1 + x_13, x_13 >= 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'(1'(encArg(x_16))) :|: z = 1 + x_16, x_16 >= 0 encode_1(z) -{ 0 }-> 1'(0'(encArg(x_15))) :|: x_15 >= 0, z = 1 + x_15 encode_1(z) -{ 0 }-> 1'(0) :|: x_1 >= 0, z = x_1 encode_1(z) -{ 0 }-> 0 :|: v0 >= 0, z = v0 ---------------------------------------- (31) SimplificationProof (BOTH BOUNDS(ID, ID)) Simplified the RNTS by moving equalities from the constraints into the right-hand sides. ---------------------------------------- (32) Obligation: Complexity RNTS consisting of the following rules: 0'(z) -{ 2 }-> 1'(1'(0'(1'(1'(0'(0'(1'(0'(1'(1'(1'(1'(0'(0'(0'(0'(0'(1'(1'(0'(0'(1'(0'(0'(1'(1'(0'(0'(0'(1'(0'(0'(0'(0'(1'(0'(0'(1'(0'(1'(1'(0'(1'(0'(0'(0'(0'(1'(1'(1'(1'(1'(1'(1'(0'(0'(1'(1'(1'(1'(1'(1'(0'(0'(0'(1'(0'(0'(0'(1'(0'(1'(0'(1'(1'(1'(0'(0'(0'(0'(0'(1'(1'(1'(1'(1'(0'(1'(1'(0'(0'(1'(0'(1'(1'(1'(1'(0'(0'(0'(0'(0'(1'(1'(0'(0'(1'(0'(0'(1'(1'(0'(0'(0'(1'(0'(0'(0'(0'(1'(0'(0'(1'(0'(1'(1'(0'(1'(0'(0'(0'(0'(1'(1'(1'(1'(1'(1'(1'(0'(0'(1'(1'(1'(1'(1'(1'(1'(0'(1'(0'(1'(1'(1'(1'(1'(0'(0'(0'(1'(0'(1'(0'(1'(0'(0'(z - 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0'(0'(0'(0'(0'(1'(0'(0'(1'(1'(0'(1'(0'(0'(0'(0'(1'(1'(1'(0'(0'(1'(1'(1'(0'(1'(1'(0'(0'(0'(0'(1'(0'(0'(1'(1'(0'(0'(1'(1'(0'(0'(0'(1'(1'(0'(0'(1'(0'(1'(0'(1'(1'(1'(1'(0'(0'(1'(1'(1'(1'(0'(0'(0'(0'(0'(0'(0'(0'(1'(1'(1'(1'(1'(1'(0'(1'(0'(0'(0'(0'(0'(1'(0'(0'(0'(0'(0'(1'(0'(0'(1'(1'(0'(1'(0'(0'(0'(0'(1'(1'(1'(0'(0'(1'(1'(1'(0'(1'(1'(0'(0'(0'(0'(1'(0'(0'(1'(1'(0'(0'(1'(1'(0'(0'(0'(1'(1'(0'(0'(1'(0'(1'(0'(1'(1'(1'(1'(0'(0'(0'(1'(0'(0'(1'(1'(1'(0'(1'(0'(0'(1'(0'(0'(0'(0'(1'(0'(0'(0'(0'(0'(0'(0'(0'(z - 160))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: z - 160 >= 0 1'(z) -{ 1 }-> 0'(0'(0'(0'(0'(1'(0'(0'(1'(1'(0'(1'(0'(0'(0'(0'(1'(1'(1'(0'(0'(1'(1'(1'(0'(1'(1'(0'(0'(0'(0'(1'(0'(0'(1'(1'(0'(0'(1'(1'(0'(0'(0'(1'(1'(0'(0'(1'(0'(1'(0'(1'(1'(1'(1'(0'(0'(1'(1'(1'(1'(0'(0'(0'(0'(0'(0'(0'(0'(1'(1'(1'(1'(1'(1'(0'(1'(0'(0'(0'(0'(0'(1'(0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: z - 80 >= 0 1'(z) -{ 1 }-> 0'(0'(0'(0'(0'(1'(0'(0'(1'(1'(0'(1'(0'(0'(0'(0'(1'(1'(1'(0'(0'(1'(1'(1'(0'(1'(1'(0'(0'(0'(0'(1'(0'(0'(1'(1'(0'(0'(1'(1'(0'(0'(0'(1'(1'(0'(0'(1'(0'(1'(0'(1'(1'(1'(1'(0'(0'(1'(1'(1'(1'(0'(0'(0'(0'(0'(0'(0'(0'(1'(1'(1'(1'(1'(1'(0'(1'(0'(0'(0'(0'(0'(1'(1 + (z - 80)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: z - 80 >= 0 1'(z) -{ 1 }-> 0'(0'(0'(0'(0'(1'(0'(0'(1'(1'(0'(1'(0'(0'(0'(0'(1'(1'(1'(0'(0'(1'(1'(1'(0'(1'(1'(0'(0'(0'(0'(1'(0'(0'(1'(1'(0'(0'(1'(1'(0'(0'(0'(1'(1'(0'(0'(1'(0'(1'(0'(1'(1'(1'(1'(0'(0'(0'(1'(0'(0'(1'(1'(1'(0'(1'(0'(0'(1'(0'(0'(0'(0'(1'(0'(0'(0'(0'(0'(0'(0'(0'(z - 80)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: z - 80 >= 0 1'(z) -{ 0 }-> 0 :|: z >= 0 1'(z) -{ 0 }-> 1 + z :|: z >= 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'(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'(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'(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 ---------------------------------------- (33) 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] 0'(v0) -> null_0' [0] 1'(v0) -> null_1' [0] And the following fresh constants: null_encArg, null_encode_0, null_encode_1, null_0', null_1', const ---------------------------------------- (34) 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_0(c_1(c_0(c_1(c_1(c_0(c_0(c_0(c_1(c_1(c_1(c_0(c_0(c_1(c_1(c_1(c_0(c_1(c_0(c_0(c_1(c_0(c_0(c_1(c_1(c_0(c_0(c_1(c_1(c_1(c_1(c_0(c_1(c_1(c_1(c_0(c_1(c_0(c_0(c_1(c_1(c_1(c_0(c_0(c_1(c_0(c_0(c_0(c_1(c_0(c_1(c_1(c_1(c_1(c_1(c_0(c_1(c_0(c_0(c_0(c_0(c_0(c_1(c_1(c_1(c_1(c_0(c_1(c_1(c_1(c_1(c_0(c_0(c_1(c_1(c_0(c_1(c_1(c_0(c_0(x1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> 1'(0'(0'(0'(1'(0'(1'(0'(0'(1'(0'(1'(0'(0'(0'(1'(0'(0'(1'(1'(1'(0'(0'(1'(1'(0'(0'(1'(0'(0'(0'(0'(1'(1'(0'(0'(1'(1'(0'(1'(0'(0'(0'(0'(0'(0'(1'(1'(1'(1'(1'(1'(0'(0'(0'(0'(0'(1'(1'(1'(1'(1'(1'(1'(0'(1'(1'(1'(0'(1'(1'(0'(1'(0'(0'(1'(0'(0'(1'(1'(0'(0'(x1)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) [1] 0'(c_0(c_1(c_0(c_1(c_1(c_0(c_0(c_0(c_1(c_1(c_1(c_0(c_0(c_1(c_1(c_1(c_0(c_1(c_0(c_0(c_1(c_0(c_0(c_1(c_1(c_0(c_0(c_1(c_1(c_1(c_1(c_0(c_1(c_1(c_1(c_0(c_1(c_0(c_0(c_1(c_1(c_1(c_0(c_0(c_1(c_0(c_0(c_0(c_0(c_1(c_1(c_1(c_1(c_1(c_1(c_1(c_1(c_1(c_1(c_0(c_0(c_1(c_0(c_0(c_1(c_0(c_0(c_1(c_1(c_0(c_1(c_0(c_0(c_1(c_1(c_1(c_1(c_0(c_1(c_0(x1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> 0'(0'(0'(0'(0'(1'(0'(0'(1'(1'(0'(1'(0'(0'(0'(0'(1'(1'(1'(0'(0'(1'(1'(1'(0'(1'(1'(0'(0'(0'(0'(1'(0'(0'(1'(1'(0'(0'(1'(1'(0'(0'(0'(1'(1'(0'(0'(1'(0'(1'(1'(0'(0'(0'(0'(1'(0'(0'(1'(0'(0'(1'(1'(1'(1'(0'(0'(1'(1'(0'(0'(1'(0'(0'(1'(1'(1'(1'(0'(0'(1'(0'(x1)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) [1] 0'(c_0(c_1(c_0(c_1(c_1(c_0(c_0(c_0(c_1(c_1(c_1(c_0(c_0(c_1(c_1(c_1(c_0(c_1(c_0(c_0(c_1(c_0(c_0(c_1(c_1(c_0(c_0(c_1(c_1(c_1(c_1(c_0(c_1(c_1(c_1(c_0(c_1(c_0(c_0(c_1(c_1(c_1(c_0(c_0(c_1(c_0(c_0(c_0(c_1(c_0(c_1(c_1(c_1(c_1(c_1(c_0(c_1(c_0(c_0(c_0(c_0(c_0(c_1(c_1(c_1(c_1(c_0(c_1(c_1(c_1(c_1(c_0(c_0(c_1(c_1(c_1(c_1(c_0(c_1(c_1(x1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> 1'(0'(0'(0'(1'(0'(1'(0'(0'(1'(0'(1'(0'(0'(0'(1'(0'(0'(1'(1'(1'(0'(0'(1'(1'(0'(0'(1'(0'(0'(0'(0'(1'(1'(0'(0'(1'(1'(0'(1'(0'(0'(0'(0'(0'(0'(1'(1'(1'(1'(1'(1'(0'(0'(0'(0'(0'(1'(1'(1'(1'(1'(1'(1'(0'(1'(1'(1'(0'(1'(1'(0'(1'(0'(0'(1'(0'(0'(1'(0'(0'(0'(1'(x1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) [1] 0'(c_0(c_1(c_0(c_1(c_1(c_0(c_0(c_0(c_1(c_1(c_1(c_0(c_0(c_1(c_1(c_1(c_0(c_1(c_0(c_0(c_1(c_0(c_0(c_1(c_1(c_0(c_0(c_1(c_1(c_1(c_1(c_0(c_1(c_1(c_1(c_0(c_1(c_0(c_0(c_1(c_1(c_1(c_0(c_0(c_1(c_0(c_0(c_0(c_1(c_0(c_1(c_1(c_1(c_1(c_1(c_0(c_1(c_0(c_0(c_0(c_0(c_0(c_1(c_1(c_1(c_1(c_0(c_1(c_1(c_1(c_1(c_0(c_0(c_1(c_1(c_1(c_0(c_1(c_0(c_1(x1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> 0'(0'(0'(0'(0'(1'(0'(0'(1'(1'(0'(1'(0'(0'(0'(0'(1'(1'(1'(0'(0'(1'(1'(1'(0'(1'(1'(0'(0'(0'(0'(1'(0'(0'(1'(1'(0'(0'(1'(1'(0'(0'(0'(1'(1'(0'(0'(1'(0'(1'(0'(1'(1'(1'(1'(0'(0'(1'(1'(1'(1'(0'(0'(0'(0'(0'(0'(0'(0'(1'(1'(1'(0'(0'(1'(1'(1'(0'(1'(1'(1'(0'(x1)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) [1] 1'(c_0(c_0(c_0(c_1(c_0(c_1(c_0(c_0(c_1(c_0(c_1(c_0(c_0(c_0(c_1(c_0(c_0(c_1(c_1(c_1(c_0(c_0(c_1(c_1(c_0(c_0(c_1(c_0(c_0(c_0(c_0(c_1(c_1(c_0(c_0(c_0(c_1(c_0(c_1(c_1(c_1(c_0(c_1(c_0(c_0(c_0(c_0(c_0(c_1(c_0(c_1(c_1(c_1(c_0(c_1(c_1(c_1(c_1(c_0(c_1(c_0(c_1(c_1(c_0(c_0(c_0(c_0(c_1(c_0(c_1(c_1(c_1(c_0(c_1(c_1(c_1(c_1(c_0(c_0(c_0(x1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> 0'(0'(0'(0'(0'(1'(0'(0'(1'(1'(0'(1'(0'(0'(0'(0'(1'(1'(1'(0'(0'(1'(1'(1'(0'(1'(1'(0'(0'(0'(0'(1'(0'(0'(1'(1'(0'(0'(1'(1'(0'(0'(0'(1'(1'(0'(0'(1'(0'(1'(0'(1'(1'(1'(1'(0'(0'(0'(1'(0'(0'(1'(1'(1'(0'(1'(0'(0'(1'(0'(0'(0'(0'(1'(0'(0'(0'(0'(0'(0'(0'(0'(x1)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) [1] 0'(c_0(c_1(c_0(c_1(c_1(c_0(c_0(c_0(c_1(c_1(c_1(c_0(c_0(c_1(c_1(c_1(c_0(c_1(c_0(c_0(c_1(c_0(c_0(c_1(c_1(c_0(c_0(c_1(c_1(c_1(c_1(c_0(c_1(c_1(c_1(c_0(c_1(c_0(c_0(c_1(c_1(c_1(c_0(c_0(c_1(c_0(c_0(c_0(c_1(c_0(c_1(c_1(c_1(c_1(c_1(c_0(c_1(c_0(c_0(c_0(c_0(c_0(c_1(c_1(c_1(c_1(c_0(c_1(c_1(c_1(c_1(c_0(c_1(c_1(c_0(c_1(c_0(c_1(c_0(c_1(x1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> 1'(1'(0'(1'(1'(0'(0'(1'(0'(1'(1'(1'(1'(0'(0'(0'(0'(0'(1'(1'(0'(0'(1'(0'(0'(1'(1'(0'(0'(0'(1'(0'(0'(0'(0'(1'(0'(0'(1'(0'(1'(1'(0'(1'(0'(0'(0'(0'(1'(1'(1'(1'(1'(1'(1'(0'(0'(1'(1'(1'(1'(1'(1'(0'(0'(0'(1'(0'(0'(0'(1'(0'(1'(0'(1'(1'(1'(0'(0'(0'(0'(0'(1'(1'(1'(1'(x1)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) [1] 0'(c_0(c_1(c_0(c_1(c_1(c_0(c_0(c_0(c_1(c_1(c_1(c_0(c_0(c_1(c_1(c_1(c_0(c_1(c_0(c_0(c_1(c_0(c_0(c_1(c_1(c_0(c_0(c_1(c_1(c_1(c_1(c_0(c_1(c_1(c_1(c_0(c_1(c_0(c_0(c_1(c_0(c_0(c_0(c_1(c_1(c_1(c_1(c_1(c_0(c_1(c_0(c_0(c_0(c_0(c_0(c_0(c_1(c_1(c_1(c_0(c_1(c_0(c_0(c_0(c_0(c_0(c_1(c_0(c_1(c_1(c_1(c_1(c_1(c_0(c_0(c_1(c_0(c_0(c_1(c_1(x1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> 0'(0'(0'(0'(0'(1'(0'(0'(1'(1'(0'(1'(0'(0'(0'(0'(1'(1'(1'(0'(0'(1'(1'(1'(0'(1'(1'(0'(0'(0'(0'(1'(0'(0'(1'(1'(0'(0'(1'(1'(0'(0'(0'(1'(1'(0'(0'(1'(0'(1'(0'(1'(1'(1'(1'(0'(0'(1'(1'(1'(1'(0'(0'(0'(0'(0'(0'(0'(0'(1'(1'(1'(0'(0'(1'(1'(1'(0'(1'(1'(1'(0'(x1)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) [1] 0'(c_0(c_1(c_0(c_1(c_1(c_0(c_0(c_0(c_1(c_1(c_1(c_0(c_0(c_1(c_1(c_1(c_0(c_1(c_0(c_0(c_1(c_0(c_0(c_1(c_1(c_0(c_0(c_1(c_1(c_1(c_1(c_0(c_1(c_1(c_1(c_0(c_1(c_0(c_0(c_1(c_0(c_0(c_0(c_1(c_1(c_1(c_1(c_1(c_0(c_1(c_0(c_0(c_0(c_0(c_0(c_0(c_1(c_1(c_1(c_0(c_1(c_0(c_0(c_0(c_0(c_0(c_1(c_0(c_1(c_1(c_1(c_1(c_1(c_0(c_0(c_1(c_0(c_0(c_1(c_1(x1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> 0'(0'(0'(0'(0'(1'(0'(0'(1'(1'(0'(1'(0'(0'(0'(0'(1'(1'(1'(0'(0'(1'(1'(1'(0'(1'(1'(0'(0'(0'(0'(1'(0'(0'(1'(1'(0'(0'(1'(1'(0'(0'(0'(1'(1'(0'(0'(1'(0'(1'(0'(1'(1'(1'(1'(0'(0'(1'(1'(1'(1'(0'(0'(0'(0'(0'(0'(0'(0'(1'(1'(1'(1'(1'(1'(0'(1'(0'(0'(0'(0'(0'(1'(1'(x1)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) [1] 0'(c_0(c_1(c_0(c_1(c_1(c_0(c_0(c_0(c_1(c_1(c_1(c_0(c_0(c_1(c_1(c_1(c_0(c_1(c_0(c_0(c_1(c_0(c_0(c_1(c_1(c_0(c_0(c_1(c_1(c_1(c_1(c_0(c_1(c_1(c_1(c_0(c_1(c_0(c_0(c_1(c_1(c_1(c_0(c_0(c_1(c_0(c_0(c_0(c_1(c_0(c_1(c_1(c_1(c_1(c_1(c_0(c_1(c_0(c_0(c_0(c_0(c_0(c_1(c_1(c_1(c_1(c_0(c_1(c_1(c_1(c_1(c_0(c_1(c_1(c_0(c_1(c_0(c_1(c_1(c_0(x1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> 0'(0'(0'(0'(0'(1'(0'(0'(1'(1'(0'(1'(0'(0'(0'(0'(1'(1'(1'(0'(0'(1'(1'(1'(0'(1'(1'(0'(0'(0'(0'(1'(0'(0'(1'(1'(0'(0'(1'(1'(0'(0'(0'(1'(1'(0'(0'(1'(0'(1'(1'(0'(0'(0'(0'(1'(0'(0'(1'(0'(0'(1'(1'(1'(1'(0'(0'(1'(0'(1'(1'(0'(1'(1'(0'(1'(0'(1'(1'(0'(0'(0'(x1)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) [1] 1'(c_0(c_0(c_1(c_1(c_1(c_1(c_0(c_1(c_0(c_1(c_0(c_1(c_0(c_1(c_0(c_1(c_1(c_0(c_1(c_1(c_1(c_1(c_0(c_1(c_0(c_1(c_0(c_1(c_1(c_1(c_1(c_0(c_0(c_1(c_1(c_0(c_0(c_0(c_0(c_0(c_0(c_1(c_1(c_1(c_0(c_0(c_1(c_1(c_0(c_0(c_1(c_1(c_0(c_0(c_1(c_1(c_1(c_0(c_1(c_1(c_0(c_1(c_0(c_0(c_0(c_1(c_1(c_0(c_1(c_1(c_1(c_1(c_0(c_0(c_1(c_1(c_0(c_0(c_1(c_1(x1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> 0'(0'(1'(0'(1'(1'(0'(0'(0'(1'(1'(1'(0'(0'(1'(1'(1'(0'(1'(0'(0'(1'(0'(0'(1'(1'(0'(0'(1'(1'(1'(1'(0'(1'(1'(1'(0'(1'(0'(0'(1'(1'(1'(0'(0'(1'(0'(0'(0'(1'(0'(1'(1'(1'(1'(1'(0'(1'(0'(0'(0'(0'(0'(1'(1'(1'(1'(0'(1'(1'(1'(1'(0'(1'(1'(0'(0'(0'(0'(0'(1'(0'(x1)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) [1] 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0'(c_0(c_1(c_0(c_1(c_1(c_0(c_0(c_0(c_1(c_1(c_1(c_0(c_0(c_1(c_1(c_1(c_0(c_1(c_0(c_0(c_1(c_0(c_0(c_1(c_1(c_0(c_0(c_1(c_1(c_1(c_1(c_0(c_1(c_1(c_1(c_0(c_1(c_0(c_0(c_1(c_1(c_1(c_0(c_0(c_1(c_0(c_0(c_0(c_1(c_0(c_1(c_1(c_1(c_1(c_1(c_0(c_1(c_0(c_0(c_0(c_0(c_0(c_1(c_1(c_1(c_1(c_0(c_1(c_1(c_1(c_1(c_0(c_0(c_1(c_1(c_1(c_1(c_0(c_1(c_0(x1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> 0'(0'(0'(0'(0'(1'(0'(0'(1'(1'(0'(1'(0'(0'(0'(0'(1'(1'(1'(0'(0'(1'(1'(1'(0'(1'(1'(0'(0'(0'(0'(1'(0'(0'(1'(1'(0'(0'(1'(1'(0'(0'(0'(1'(1'(0'(0'(1'(0'(1'(0'(1'(1'(1'(1'(0'(0'(1'(1'(1'(1'(0'(0'(0'(0'(0'(0'(0'(0'(1'(1'(1'(1'(1'(1'(0'(1'(0'(0'(0'(1'(0'(1'(1'(1'(1'(x1)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) [1] 0'(c_0(c_1(c_0(c_1(c_1(c_0(c_0(c_0(c_1(c_1(c_1(c_0(c_0(c_1(c_1(c_1(c_0(c_1(c_0(c_0(c_1(c_0(c_0(c_1(c_1(c_0(c_0(c_1(c_1(c_1(c_1(c_0(c_1(c_1(c_1(c_0(c_1(c_0(c_0(c_1(c_0(c_0(c_0(c_1(c_1(c_1(c_1(c_1(c_0(c_1(c_0(c_0(c_0(c_0(c_0(c_0(c_1(c_1(c_1(c_0(c_1(c_0(c_0(c_0(c_0(c_0(c_1(c_0(c_1(c_1(c_1(c_1(c_1(c_0(c_0(c_1(c_0(c_0(c_1(c_1(x1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> 0'(0'(0'(0'(0'(1'(0'(0'(1'(1'(0'(1'(0'(0'(0'(0'(1'(1'(1'(0'(0'(1'(1'(1'(0'(1'(1'(0'(0'(0'(0'(1'(0'(0'(1'(1'(0'(0'(1'(1'(0'(0'(0'(1'(1'(0'(0'(1'(0'(1'(1'(0'(0'(0'(0'(1'(0'(0'(1'(0'(0'(1'(1'(1'(1'(0'(0'(1'(0'(1'(1'(0'(1'(1'(0'(1'(0'(1'(1'(0'(0'(0'(x1)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) [1] 0'(c_0(c_1(c_0(c_1(c_1(c_0(c_0(c_0(c_1(c_1(c_1(c_0(c_0(c_1(c_1(c_1(c_0(c_1(c_0(c_0(c_1(c_0(c_0(c_1(c_1(c_0(c_0(c_1(c_1(c_1(c_1(c_0(c_1(c_1(c_1(c_0(c_1(c_0(c_0(c_1(c_1(c_1(c_0(c_0(c_1(c_0(c_0(c_0(c_1(c_0(c_1(c_1(c_1(c_1(c_1(c_0(c_1(c_0(c_0(c_0(c_0(c_0(c_1(c_1(c_1(c_1(c_0(c_1(c_1(c_1(c_1(c_0(c_1(c_1(c_0(c_1(c_0(c_1(c_1(c_0(x1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> 1'(0'(0'(0'(1'(0'(1'(0'(0'(1'(0'(1'(0'(0'(0'(1'(0'(0'(1'(1'(1'(0'(0'(1'(1'(0'(0'(1'(0'(0'(0'(0'(1'(1'(0'(0'(1'(1'(0'(1'(0'(0'(0'(0'(0'(0'(1'(1'(1'(1'(1'(1'(0'(0'(0'(0'(0'(1'(1'(1'(1'(1'(1'(1'(0'(1'(1'(1'(0'(1'(1'(0'(1'(0'(0'(1'(0'(0'(1'(0'(1'(0'(1'(1'(x1)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) [1] 0'(c_0(c_1(c_0(c_1(c_1(c_0(c_0(c_0(c_1(c_1(c_1(c_0(c_0(c_1(c_1(c_1(c_0(c_1(c_0(c_0(c_1(c_0(c_0(c_1(c_1(c_0(c_0(c_1(c_1(c_1(c_1(c_0(c_1(c_1(c_1(c_0(c_1(c_0(c_0(c_1(c_0(c_0(c_0(c_1(c_1(c_1(c_1(c_1(c_0(c_1(c_0(c_0(c_0(c_0(c_0(c_0(c_1(c_1(c_1(c_0(c_1(c_0(c_0(c_0(c_0(c_0(c_1(c_0(c_1(c_1(c_1(c_1(c_1(c_0(c_0(c_1(c_0(c_0(c_1(c_0(x1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> 0'(0'(0'(0'(0'(1'(0'(0'(1'(1'(0'(1'(0'(0'(0'(0'(1'(1'(1'(0'(0'(1'(1'(1'(0'(1'(1'(0'(0'(0'(0'(1'(0'(0'(1'(1'(0'(0'(1'(1'(0'(0'(0'(1'(1'(0'(0'(1'(0'(1'(0'(1'(1'(1'(1'(0'(0'(1'(1'(1'(1'(0'(0'(0'(1'(1'(1'(0'(0'(1'(1'(0'(0'(1'(0'(0'(0'(0'(1'(0'(0'(0'(1'(x1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) [1] 1'(c_0(c_0(c_1(c_1(c_1(c_1(c_0(c_1(c_0(c_1(c_0(c_1(c_0(c_1(c_0(c_1(c_1(c_0(c_1(c_1(c_1(c_1(c_0(c_1(c_0(c_1(c_0(c_1(c_1(c_1(c_1(c_0(c_0(c_1(c_1(c_0(c_0(c_0(c_0(c_0(c_0(c_1(c_1(c_1(c_0(c_0(c_1(c_1(c_0(c_0(c_1(c_1(c_0(c_0(c_1(c_1(c_1(c_0(c_1(c_1(c_0(c_1(c_0(c_0(c_0(c_1(c_1(c_0(c_1(c_1(c_1(c_1(c_0(c_0(c_1(c_1(c_0(c_0(c_1(c_1(x1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> 0'(0'(1'(0'(1'(1'(0'(0'(0'(1'(1'(1'(0'(0'(1'(1'(1'(0'(1'(0'(0'(1'(0'(0'(1'(1'(0'(0'(1'(1'(1'(1'(0'(1'(1'(1'(0'(1'(0'(0'(1'(0'(0'(0'(1'(1'(1'(1'(1'(0'(1'(0'(0'(0'(0'(0'(0'(1'(1'(1'(0'(1'(0'(0'(0'(0'(0'(1'(0'(1'(1'(1'(1'(1'(0'(0'(1'(0'(0'(0'(0'(0'(x1)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) [1] 0'(c_0(c_1(c_0(c_1(c_1(c_0(c_0(c_0(c_1(c_1(c_1(c_0(c_0(c_1(c_1(c_1(c_0(c_1(c_0(c_0(c_1(c_0(c_0(c_1(c_1(c_0(c_0(c_1(c_1(c_1(c_1(c_0(c_1(c_1(c_1(c_0(c_1(c_0(c_0(c_1(c_1(c_1(c_0(c_0(c_1(c_0(c_0(c_0(c_1(c_0(c_1(c_1(c_1(c_1(c_1(c_0(c_1(c_0(c_0(c_0(c_0(c_0(c_1(c_1(c_1(c_1(c_0(c_1(c_1(c_1(c_1(c_0(c_1(c_1(c_0(c_0(c_0(c_1(c_1(c_1(x1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> 0'(0'(0'(0'(0'(1'(0'(0'(1'(1'(0'(1'(0'(0'(0'(0'(1'(1'(1'(0'(0'(1'(1'(1'(0'(1'(1'(0'(0'(0'(0'(1'(0'(0'(1'(1'(0'(0'(1'(1'(0'(0'(0'(1'(1'(0'(0'(1'(0'(1'(1'(0'(0'(0'(0'(1'(0'(0'(1'(0'(0'(1'(1'(1'(1'(0'(0'(1'(1'(0'(0'(1'(0'(0'(1'(1'(1'(1'(0'(0'(0'(0'(1'(1'(1'(x1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) [1] 1'(c_0(c_0(c_1(c_1(c_1(c_1(c_0(c_1(c_0(c_1(c_0(c_1(c_0(c_1(c_0(c_1(c_1(c_0(c_1(c_1(c_1(c_1(c_0(c_1(c_0(c_1(c_0(c_1(c_1(c_1(c_1(c_0(c_0(c_1(c_1(c_0(c_0(c_0(c_0(c_0(c_0(c_1(c_1(c_1(c_0(c_0(c_1(c_1(c_0(c_0(c_1(c_1(c_0(c_0(c_1(c_1(c_1(c_0(c_1(c_1(c_0(c_1(c_1(c_0(c_0(c_1(c_1(c_1(c_0(c_0(c_0(c_1(c_1(c_0(c_0(c_1(c_1(c_0(c_0(c_0(x1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> 1'(0'(0'(0'(1'(0'(1'(0'(0'(1'(0'(1'(0'(0'(0'(1'(0'(0'(1'(1'(1'(0'(0'(1'(1'(0'(0'(1'(0'(0'(0'(0'(1'(1'(0'(0'(1'(1'(0'(1'(0'(0'(0'(0'(0'(0'(1'(1'(1'(1'(1'(1'(0'(0'(0'(0'(0'(1'(1'(1'(1'(1'(1'(1'(0'(1'(1'(1'(0'(1'(1'(0'(0'(1'(1'(0'(0'(0'(0'(0'(0'(0'(x1)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) [1] 0'(c_0(c_1(c_0(c_1(c_1(c_0(c_0(c_0(c_1(c_1(c_1(c_0(c_0(c_1(c_1(c_1(c_0(c_1(c_0(c_0(c_1(c_0(c_0(c_1(c_1(c_0(c_0(c_1(c_1(c_1(c_1(c_0(c_1(c_1(c_1(c_0(c_1(c_0(c_0(c_1(c_1(c_1(c_0(c_0(c_1(c_0(c_0(c_0(c_1(c_0(c_1(c_1(c_1(c_1(c_1(c_0(c_1(c_0(c_0(c_0(c_0(c_0(c_1(c_1(c_1(c_1(c_0(c_1(c_1(c_1(c_1(c_0(c_1(c_1(c_0(c_1(c_0(c_1(c_1(c_0(x1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> 1'(1'(0'(1'(1'(0'(0'(1'(0'(1'(1'(1'(1'(0'(0'(0'(0'(0'(1'(1'(0'(0'(1'(0'(0'(1'(1'(0'(0'(0'(1'(0'(0'(0'(0'(1'(0'(0'(1'(0'(1'(1'(0'(1'(0'(0'(0'(0'(1'(1'(1'(1'(1'(1'(1'(0'(0'(1'(1'(1'(1'(1'(1'(0'(0'(0'(1'(0'(0'(0'(1'(0'(1'(0'(1'(1'(1'(0'(0'(0'(0'(0'(x1)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) [1] 0'(c_0(c_1(c_0(c_1(c_1(c_0(c_0(c_0(c_1(c_1(c_1(c_0(c_0(c_1(c_1(c_1(c_0(c_1(c_0(c_0(c_1(c_0(c_0(c_1(c_1(c_0(c_0(c_1(c_1(c_1(c_1(c_0(c_1(c_1(c_1(c_0(c_1(c_0(c_0(c_1(c_1(c_1(c_0(c_0(c_1(c_0(c_0(c_0(c_1(c_0(c_1(c_1(c_1(c_1(c_1(c_0(c_1(c_0(c_0(c_0(c_0(c_0(c_1(c_1(c_1(c_1(c_0(c_1(c_1(c_1(c_1(c_0(c_1(c_1(c_0(c_0(c_0(c_0(c_0(c_1(x1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> 1'(0'(0'(0'(1'(0'(1'(0'(0'(1'(0'(1'(0'(0'(0'(1'(0'(0'(1'(1'(1'(0'(0'(1'(1'(0'(0'(1'(0'(0'(0'(0'(1'(1'(0'(0'(1'(1'(0'(1'(0'(0'(0'(0'(0'(0'(1'(1'(1'(1'(1'(1'(0'(0'(0'(0'(0'(1'(1'(1'(1'(1'(1'(0'(0'(1'(0'(0'(0'(1'(1'(0'(1'(1'(0'(1'(1'(1'(1'(1'(0'(0'(1'(x1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) [1] 0'(c_0(c_0(c_0(c_0(c_1(c_0(c_0(c_1(c_1(c_0(c_1(c_0(c_0(c_0(c_0(c_1(c_1(c_1(c_0(c_0(c_1(c_1(c_1(c_0(c_1(c_1(c_0(c_0(c_0(c_0(c_1(c_0(c_0(c_1(c_1(c_0(c_0(c_1(c_1(c_0(c_0(c_0(c_1(c_1(c_0(c_0(c_1(c_0(c_1(c_1(c_0(c_0(c_0(c_0(c_1(c_0(c_0(c_1(c_0(c_0(c_1(c_1(c_1(c_1(c_0(c_0(c_1(c_0(c_0(c_1(c_1(c_0(c_1(c_0(c_1(c_1(c_1(c_1(c_1(c_0(x1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> 0'(0'(0'(0'(0'(1'(0'(0'(1'(1'(0'(1'(0'(0'(0'(0'(1'(1'(1'(0'(0'(1'(1'(1'(0'(1'(1'(0'(0'(0'(0'(1'(0'(0'(1'(1'(0'(0'(1'(1'(0'(0'(0'(1'(1'(0'(0'(1'(0'(1'(1'(0'(0'(0'(0'(1'(0'(0'(1'(0'(0'(1'(1'(1'(1'(0'(0'(0'(0'(1'(1'(0'(1'(1'(0'(0'(0'(0'(0'(0'(1'(0'(1'(1'(x1)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) [1] encArg(cons_0(x_1)) -> 0'(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] 0'(x0) -> c_0(x0) [0] 1'(x0) -> c_1(x0) [0] encArg(v0) -> null_encArg [0] encode_0(v0) -> null_encode_0 [0] encode_1(v0) -> null_encode_1 [0] 0'(v0) -> null_0' [0] 1'(v0) -> null_1' [0] The TRS has the following type information: 0' :: c_0:c_1:null_encArg:null_encode_0:null_encode_1:null_0':null_1' -> c_0:c_1:null_encArg:null_encode_0:null_encode_1:null_0':null_1' c_0 :: c_0:c_1:null_encArg:null_encode_0:null_encode_1:null_0':null_1' -> c_0:c_1:null_encArg:null_encode_0:null_encode_1:null_0':null_1' c_1 :: c_0:c_1:null_encArg:null_encode_0:null_encode_1:null_0':null_1' -> c_0:c_1:null_encArg:null_encode_0:null_encode_1:null_0':null_1' 1' :: c_0:c_1:null_encArg:null_encode_0:null_encode_1:null_0':null_1' -> c_0:c_1:null_encArg:null_encode_0:null_encode_1:null_0':null_1' encArg :: cons_0:cons_1 -> c_0:c_1:null_encArg:null_encode_0:null_encode_1:null_0':null_1' cons_0 :: cons_0:cons_1 -> cons_0:cons_1 cons_1 :: cons_0:cons_1 -> cons_0:cons_1 encode_0 :: cons_0:cons_1 -> c_0:c_1:null_encArg:null_encode_0:null_encode_1:null_0':null_1' encode_1 :: cons_0:cons_1 -> c_0:c_1:null_encArg:null_encode_0:null_encode_1:null_0':null_1' null_encArg :: c_0:c_1:null_encArg:null_encode_0:null_encode_1:null_0':null_1' null_encode_0 :: c_0:c_1:null_encArg:null_encode_0:null_encode_1:null_0':null_1' null_encode_1 :: c_0:c_1:null_encArg:null_encode_0:null_encode_1:null_0':null_1' null_0' :: c_0:c_1:null_encArg:null_encode_0:null_encode_1:null_0':null_1' null_1' :: c_0:c_1:null_encArg:null_encode_0:null_encode_1:null_0':null_1' const :: cons_0:cons_1 Rewrite Strategy: INNERMOST ---------------------------------------- (35) 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_0' => 0 null_1' => 0 const => 0 ---------------------------------------- (36) Obligation: Complexity RNTS consisting of the following rules: 0'(z) -{ 1 }-> 1'(1'(0'(1'(1'(0'(0'(1'(0'(1'(1'(1'(1'(0'(0'(0'(0'(0'(1'(1'(0'(0'(1'(0'(0'(1'(1'(0'(0'(0'(1'(0'(0'(0'(0'(1'(0'(0'(1'(0'(1'(1'(0'(1'(0'(0'(0'(0'(1'(1'(1'(1'(1'(1'(1'(0'(0'(1'(1'(1'(1'(1'(1'(0'(0'(0'(1'(0'(0'(0'(1'(0'(1'(0'(1'(1'(1'(0'(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 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (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 }-> 1'(1'(0'(1'(1'(0'(0'(1'(0'(1'(1'(1'(1'(0'(0'(0'(0'(0'(1'(1'(0'(0'(1'(0'(0'(1'(1'(0'(0'(0'(1'(0'(0'(0'(0'(1'(0'(0'(1'(0'(1'(1'(0'(1'(0'(0'(0'(0'(1'(1'(1'(1'(1'(1'(1'(0'(0'(1'(1'(1'(1'(1'(1'(0'(0'(0'(1'(0'(0'(0'(1'(0'(1'(0'(1'(1'(1'(0'(0'(0'(0'(0'(1'(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 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (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 }-> 1'(0'(0'(0'(1'(0'(1'(0'(0'(1'(0'(1'(0'(0'(0'(1'(0'(0'(1'(1'(1'(0'(0'(1'(1'(0'(0'(1'(0'(0'(0'(0'(1'(1'(0'(0'(1'(1'(0'(1'(0'(0'(0'(0'(0'(0'(1'(1'(1'(1'(1'(1'(0'(0'(0'(0'(0'(1'(1'(1'(1'(1'(1'(1'(0'(1'(1'(1'(0'(1'(1'(0'(1'(0'(0'(1'(0'(0'(1'(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 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (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 }-> 1'(0'(0'(0'(1'(0'(1'(0'(0'(1'(0'(1'(0'(0'(0'(1'(0'(0'(1'(1'(1'(0'(0'(1'(1'(0'(0'(1'(0'(0'(0'(0'(1'(1'(0'(0'(1'(1'(0'(1'(0'(0'(0'(0'(0'(0'(1'(1'(1'(1'(1'(1'(0'(0'(0'(0'(0'(1'(1'(1'(1'(1'(1'(1'(0'(1'(1'(1'(0'(1'(1'(0'(1'(0'(0'(1'(0'(0'(1'(0'(1'(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 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (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 }-> 1'(0'(0'(0'(1'(0'(1'(0'(0'(1'(0'(1'(0'(0'(0'(1'(0'(0'(1'(1'(1'(0'(0'(1'(1'(0'(0'(1'(0'(0'(0'(0'(1'(1'(0'(0'(1'(1'(0'(1'(0'(0'(0'(0'(0'(0'(1'(1'(1'(1'(1'(1'(0'(0'(0'(0'(0'(1'(1'(1'(1'(1'(1'(1'(0'(1'(1'(1'(0'(1'(1'(0'(1'(0'(0'(1'(0'(0'(1'(0'(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 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (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 }-> 1'(0'(0'(0'(1'(0'(1'(0'(0'(1'(0'(1'(0'(0'(0'(1'(0'(0'(1'(1'(1'(0'(0'(1'(1'(0'(0'(1'(0'(0'(0'(0'(1'(1'(0'(0'(1'(1'(0'(1'(0'(0'(0'(0'(0'(0'(1'(1'(1'(1'(1'(1'(0'(0'(0'(0'(0'(1'(1'(1'(1'(1'(1'(1'(0'(1'(1'(1'(0'(1'(1'(0'(0'(1'(1'(0'(0'(0'(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 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (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 }-> 1'(0'(0'(0'(1'(0'(1'(0'(0'(1'(0'(1'(0'(0'(0'(1'(0'(0'(1'(1'(1'(0'(0'(1'(1'(0'(0'(1'(0'(0'(0'(0'(1'(1'(0'(0'(1'(1'(0'(1'(0'(0'(0'(0'(0'(0'(1'(1'(1'(1'(1'(1'(0'(0'(0'(0'(0'(1'(1'(1'(1'(1'(1'(0'(0'(1'(0'(0'(0'(1'(1'(0'(1'(1'(0'(1'(1'(1'(1'(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 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (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'(0'(1'(1'(0'(0'(0'(1'(1'(1'(0'(0'(1'(1'(1'(0'(1'(0'(0'(1'(0'(0'(1'(1'(0'(0'(1'(1'(1'(1'(0'(1'(1'(1'(0'(1'(0'(0'(1'(1'(1'(0'(0'(1'(0'(0'(0'(1'(0'(1'(1'(1'(1'(1'(0'(1'(0'(0'(0'(0'(0'(1'(1'(1'(1'(0'(1'(1'(1'(1'(0'(1'(1'(0'(0'(0'(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 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (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'(0'(1'(1'(0'(0'(0'(1'(1'(1'(0'(0'(1'(1'(1'(0'(1'(0'(0'(1'(0'(0'(1'(1'(0'(0'(1'(1'(1'(1'(0'(1'(1'(1'(0'(1'(0'(0'(1'(0'(0'(0'(1'(1'(1'(1'(1'(0'(1'(0'(0'(0'(0'(0'(0'(1'(1'(1'(0'(1'(0'(0'(0'(0'(0'(1'(0'(1'(1'(1'(1'(1'(0'(0'(1'(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 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (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'(0'(0'(0'(1'(0'(0'(1'(1'(0'(1'(0'(0'(0'(0'(1'(1'(1'(0'(0'(1'(1'(1'(0'(1'(1'(0'(0'(0'(0'(1'(0'(0'(1'(1'(0'(0'(1'(1'(0'(0'(0'(1'(1'(0'(0'(1'(0'(1'(1'(0'(0'(0'(0'(1'(0'(0'(1'(0'(0'(1'(1'(1'(1'(0'(0'(1'(1'(0'(0'(1'(0'(0'(1'(1'(1'(1'(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 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (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'(0'(0'(0'(1'(0'(0'(1'(1'(0'(1'(0'(0'(0'(0'(1'(1'(1'(0'(0'(1'(1'(1'(0'(1'(1'(0'(0'(0'(0'(1'(0'(0'(1'(1'(0'(0'(1'(1'(0'(0'(0'(1'(1'(0'(0'(1'(0'(1'(1'(0'(0'(0'(0'(1'(0'(0'(1'(0'(0'(1'(1'(1'(1'(0'(0'(1'(1'(0'(0'(1'(0'(0'(1'(1'(1'(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 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (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'(0'(0'(0'(1'(0'(0'(1'(1'(0'(1'(0'(0'(0'(0'(1'(1'(1'(0'(0'(1'(1'(1'(0'(1'(1'(0'(0'(0'(0'(1'(0'(0'(1'(1'(0'(0'(1'(1'(0'(0'(0'(1'(1'(0'(0'(1'(0'(1'(1'(0'(0'(0'(0'(1'(0'(0'(1'(0'(0'(1'(1'(1'(1'(0'(0'(1'(1'(0'(0'(1'(0'(0'(1'(1'(1'(1'(0'(0'(0'(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 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (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'(0'(0'(0'(1'(0'(0'(1'(1'(0'(1'(0'(0'(0'(0'(1'(1'(1'(0'(0'(1'(1'(1'(0'(1'(1'(0'(0'(0'(0'(1'(0'(0'(1'(1'(0'(0'(1'(1'(0'(0'(0'(1'(1'(0'(0'(1'(0'(1'(1'(0'(0'(0'(0'(1'(0'(0'(1'(0'(0'(1'(1'(1'(1'(0'(0'(1'(0'(1'(1'(0'(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 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (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'(0'(0'(0'(1'(0'(0'(1'(1'(0'(1'(0'(0'(0'(0'(1'(1'(1'(0'(0'(1'(1'(1'(0'(1'(1'(0'(0'(0'(0'(1'(0'(0'(1'(1'(0'(0'(1'(1'(0'(0'(0'(1'(1'(0'(0'(1'(0'(1'(1'(0'(0'(0'(0'(1'(0'(0'(1'(0'(0'(1'(1'(1'(1'(0'(0'(0'(0'(1'(1'(0'(1'(1'(0'(0'(0'(0'(0'(0'(1'(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 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (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'(0'(0'(0'(1'(0'(0'(1'(1'(0'(1'(0'(0'(0'(0'(1'(1'(1'(0'(0'(1'(1'(1'(0'(1'(1'(0'(0'(0'(0'(1'(0'(0'(1'(1'(0'(0'(1'(1'(0'(0'(0'(1'(1'(0'(0'(1'(0'(1'(0'(1'(1'(1'(1'(0'(0'(1'(1'(1'(1'(0'(0'(0'(1'(1'(1'(0'(0'(1'(1'(0'(0'(1'(0'(0'(0'(0'(1'(0'(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 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (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'(0'(0'(0'(1'(0'(0'(1'(1'(0'(1'(0'(0'(0'(0'(1'(1'(1'(0'(0'(1'(1'(1'(0'(1'(1'(0'(0'(0'(0'(1'(0'(0'(1'(1'(0'(0'(1'(1'(0'(0'(0'(1'(1'(0'(0'(1'(0'(1'(0'(1'(1'(1'(1'(0'(0'(1'(1'(1'(1'(0'(0'(0'(0'(0'(0'(0'(0'(1'(1'(1'(1'(1'(1'(0'(1'(0'(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 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (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'(0'(0'(0'(1'(0'(0'(1'(1'(0'(1'(0'(0'(0'(0'(1'(1'(1'(0'(0'(1'(1'(1'(0'(1'(1'(0'(0'(0'(0'(1'(0'(0'(1'(1'(0'(0'(1'(1'(0'(0'(0'(1'(1'(0'(0'(1'(0'(1'(0'(1'(1'(1'(1'(0'(0'(1'(1'(1'(1'(0'(0'(0'(0'(0'(0'(0'(0'(1'(1'(1'(1'(1'(1'(0'(1'(0'(0'(0'(1'(0'(1'(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 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (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'(0'(0'(0'(1'(0'(0'(1'(1'(0'(1'(0'(0'(0'(0'(1'(1'(1'(0'(0'(1'(1'(1'(0'(1'(1'(0'(0'(0'(0'(1'(0'(0'(1'(1'(0'(0'(1'(1'(0'(0'(0'(1'(1'(0'(0'(1'(0'(1'(0'(1'(1'(1'(1'(0'(0'(1'(1'(1'(1'(0'(0'(0'(0'(0'(0'(0'(0'(1'(1'(1'(1'(1'(1'(0'(1'(0'(0'(0'(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 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (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'(0'(0'(0'(1'(0'(0'(1'(1'(0'(1'(0'(0'(0'(0'(1'(1'(1'(0'(0'(1'(1'(1'(0'(1'(1'(0'(0'(0'(0'(1'(0'(0'(1'(1'(0'(0'(1'(1'(0'(0'(0'(1'(1'(0'(0'(1'(0'(1'(0'(1'(1'(1'(1'(0'(0'(1'(1'(1'(1'(0'(0'(0'(0'(0'(0'(0'(0'(1'(1'(1'(1'(0'(0'(0'(1'(0'(1'(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 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (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'(0'(0'(0'(1'(0'(0'(1'(1'(0'(1'(0'(0'(0'(0'(1'(1'(1'(0'(0'(1'(1'(1'(0'(1'(1'(0'(0'(0'(0'(1'(0'(0'(1'(1'(0'(0'(1'(1'(0'(0'(0'(1'(1'(0'(0'(1'(0'(1'(0'(1'(1'(1'(1'(0'(0'(1'(1'(1'(1'(0'(0'(0'(0'(0'(0'(0'(0'(1'(1'(1'(0'(0'(1'(1'(1'(0'(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 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (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 }-> 1'(1'(0'(1'(1'(0'(0'(1'(0'(1'(1'(1'(1'(0'(0'(0'(0'(0'(1'(1'(0'(0'(1'(0'(0'(1'(1'(0'(0'(0'(1'(0'(0'(0'(0'(1'(0'(0'(1'(0'(1'(1'(0'(1'(0'(0'(0'(0'(1'(1'(1'(1'(1'(1'(1'(0'(0'(1'(1'(1'(1'(1'(1'(1'(0'(1'(0'(1'(1'(1'(1'(1'(0'(0'(0'(1'(0'(1'(0'(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 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (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'(0'(1'(0'(1'(0'(0'(1'(0'(1'(0'(0'(0'(1'(0'(0'(1'(1'(1'(0'(0'(1'(1'(0'(0'(1'(0'(0'(0'(0'(1'(1'(0'(0'(1'(1'(0'(1'(0'(0'(0'(0'(0'(0'(1'(1'(1'(1'(1'(1'(0'(0'(0'(0'(0'(1'(1'(1'(1'(1'(1'(1'(0'(1'(1'(1'(0'(1'(1'(0'(0'(1'(1'(0'(0'(0'(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 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (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 }-> 0'(0'(1'(0'(1'(1'(0'(0'(0'(1'(1'(1'(0'(0'(1'(1'(1'(0'(1'(0'(0'(1'(0'(0'(1'(1'(0'(0'(1'(1'(1'(1'(0'(1'(1'(1'(0'(1'(0'(0'(1'(1'(1'(0'(0'(1'(0'(0'(0'(1'(0'(1'(1'(1'(1'(1'(0'(1'(0'(0'(0'(0'(0'(1'(1'(1'(1'(0'(1'(1'(1'(1'(0'(1'(1'(0'(0'(0'(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 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (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 }-> 0'(0'(1'(0'(1'(1'(0'(0'(0'(1'(1'(1'(0'(0'(1'(1'(1'(0'(1'(0'(0'(1'(0'(0'(1'(1'(0'(0'(1'(1'(1'(1'(0'(1'(1'(1'(0'(1'(0'(0'(1'(1'(1'(0'(0'(1'(0'(0'(0'(1'(0'(1'(1'(1'(0'(1'(0'(1'(1'(0'(1'(1'(1'(1'(0'(0'(0'(0'(0'(0'(0'(0'(0'(1'(0'(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 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (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 }-> 0'(0'(1'(0'(1'(1'(0'(0'(0'(1'(1'(1'(0'(0'(1'(1'(1'(0'(1'(0'(0'(1'(0'(0'(1'(1'(0'(0'(1'(1'(1'(1'(0'(1'(1'(1'(0'(1'(0'(0'(1'(0'(0'(0'(1'(1'(1'(1'(1'(0'(1'(0'(0'(0'(0'(0'(0'(1'(1'(1'(0'(1'(0'(0'(0'(0'(0'(1'(0'(1'(1'(1'(1'(1'(0'(0'(1'(0'(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 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (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 }-> 0'(0'(0'(0'(0'(1'(0'(0'(1'(1'(0'(1'(0'(0'(0'(0'(1'(1'(1'(0'(0'(1'(1'(1'(0'(1'(1'(0'(0'(0'(0'(1'(0'(0'(1'(1'(0'(0'(1'(1'(0'(0'(0'(1'(1'(0'(0'(1'(0'(1'(0'(1'(1'(1'(1'(0'(0'(1'(1'(1'(1'(0'(0'(0'(0'(0'(0'(0'(0'(1'(1'(1'(1'(1'(1'(0'(1'(0'(0'(0'(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 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (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 }-> 0'(0'(0'(0'(0'(1'(0'(0'(1'(1'(0'(1'(0'(0'(0'(0'(1'(1'(1'(0'(0'(1'(1'(1'(0'(1'(1'(0'(0'(0'(0'(1'(0'(0'(1'(1'(0'(0'(1'(1'(0'(0'(0'(1'(1'(0'(0'(1'(0'(1'(0'(1'(1'(1'(1'(0'(0'(0'(1'(0'(0'(1'(1'(1'(0'(1'(0'(0'(1'(0'(0'(0'(0'(1'(0'(0'(0'(0'(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 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (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) -{ 0 }-> 0 :|: v0 >= 0, z = v0 1'(z) -{ 0 }-> 1 + x0 :|: z = x0, x0 >= 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 Only complete derivations are relevant for the runtime complexity. ---------------------------------------- (37) CpxTrsToCdtProof (UPPER BOUND(ID)) Converted Cpx (relative) TRS to CDT ---------------------------------------- (38) Obligation: Complexity Dependency Tuples Problem Rules: encArg(cons_0(z0)) -> 0(encArg(z0)) encArg(cons_1(z0)) -> 1(encArg(z0)) encode_0(z0) -> 0(encArg(z0)) encode_1(z0) -> 1(encArg(z0)) 0(z0) -> c_0(z0) 0(c_0(c_1(c_0(c_1(c_1(c_0(c_0(c_0(c_1(c_1(c_1(c_0(c_0(c_1(c_1(c_1(c_0(c_1(c_0(c_0(c_1(c_0(c_0(c_1(c_1(c_0(c_0(c_1(c_1(c_1(c_1(c_0(c_1(c_1(c_1(c_0(c_1(c_0(c_0(c_1(c_1(c_1(c_0(c_0(c_1(c_0(c_0(c_0(c_1(c_0(c_1(c_1(c_1(c_1(c_1(c_0(c_1(c_0(c_0(c_0(c_0(c_0(c_1(c_1(c_1(c_1(c_0(c_1(c_1(c_1(c_1(c_0(c_0(c_1(c_1(c_0(c_1(c_1(c_0(c_0(z0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> 1(0(0(0(1(0(1(0(0(1(0(1(0(0(0(1(0(0(1(1(1(0(0(1(1(0(0(1(0(0(0(0(1(1(0(0(1(1(0(1(0(0(0(0(0(0(1(1(1(1(1(1(0(0(0(0(0(1(1(1(1(1(1(1(0(1(1(1(0(1(1(0(1(0(0(1(0(0(1(1(0(0(z0)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) 0(c_0(c_1(c_0(c_1(c_1(c_0(c_0(c_0(c_1(c_1(c_1(c_0(c_0(c_1(c_1(c_1(c_0(c_1(c_0(c_0(c_1(c_0(c_0(c_1(c_1(c_0(c_0(c_1(c_1(c_1(c_1(c_0(c_1(c_1(c_1(c_0(c_1(c_0(c_0(c_1(c_1(c_1(c_0(c_0(c_1(c_0(c_0(c_0(c_0(c_1(c_1(c_1(c_1(c_1(c_1(c_1(c_1(c_1(c_1(c_0(c_0(c_1(c_0(c_0(c_1(c_0(c_0(c_1(c_1(c_0(c_1(c_0(c_0(c_1(c_1(c_1(c_1(c_0(c_1(c_0(z0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> 0(0(0(0(0(1(0(0(1(1(0(1(0(0(0(0(1(1(1(0(0(1(1(1(0(1(1(0(0(0(0(1(0(0(1(1(0(0(1(1(0(0(0(1(1(0(0(1(0(1(1(0(0(0(0(1(0(0(1(0(0(1(1(1(1(0(0(1(1(0(0(1(0(0(1(1(1(1(0(0(1(0(z0)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) 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1(c_0(c_0(c_1(c_1(c_1(c_1(c_0(c_1(c_0(c_1(c_0(c_1(c_0(c_1(c_0(c_1(c_1(c_0(c_1(c_1(c_1(c_1(c_0(c_1(c_0(c_1(c_0(c_1(c_1(c_1(c_1(c_0(c_0(c_1(c_1(c_0(c_0(c_0(c_0(c_0(c_0(c_1(c_1(c_1(c_0(c_0(c_1(c_1(c_0(c_0(c_1(c_1(c_0(c_0(c_1(c_1(c_1(c_0(c_1(c_1(c_0(c_1(c_1(c_0(c_0(c_1(c_1(c_1(c_0(c_0(c_0(c_1(c_1(c_0(c_0(c_1(c_1(c_0(c_0(c_0(z0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> 1(0(0(0(1(0(1(0(0(1(0(1(0(0(0(1(0(0(1(1(1(0(0(1(1(0(0(1(0(0(0(0(1(1(0(0(1(1(0(1(0(0(0(0(0(0(1(1(1(1(1(1(0(0(0(0(0(1(1(1(1(1(1(1(0(1(1(1(0(1(1(0(0(1(1(0(0(0(0(0(0(0(z0)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) Tuples: ENCARG(cons_0(z0)) -> c(0'(encArg(z0)), ENCARG(z0)) ENCARG(cons_1(z0)) -> c1(1'(encArg(z0)), ENCARG(z0)) ENCODE_0(z0) -> c2(0'(encArg(z0)), ENCARG(z0)) ENCODE_1(z0) -> c3(1'(encArg(z0)), ENCARG(z0)) 0'(z0) -> c4 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ENCODE_1_1, 0'_1, 1'_1 Compound Symbols: c_2, c1_2, c2_2, c3_2, c4, c5_82, c6_82, c7_83, c8_82, c9_86, c10_82, c11_84, c12_82, c13_82, c14_82, c15_85, c16_82, c17_82, c18_82, c19_83, c20_82, c21_86, c22_82, c23_84, c24_83, c25_85, c26_82, c27_83, c28_84, c29, c30_82, c31_82, c32_82, c33_84, c34_82, c35_82, c36_82 ---------------------------------------- (39) CdtLeafRemovalProof (BOTH BOUNDS(ID, ID)) Removed 2 trailing nodes: 0'(z0) -> c4 1'(z0) -> c29 ---------------------------------------- (40) Obligation: Complexity Dependency Tuples Problem Rules: encArg(cons_0(z0)) -> 0(encArg(z0)) encArg(cons_1(z0)) -> 1(encArg(z0)) encode_0(z0) -> 0(encArg(z0)) encode_1(z0) -> 1(encArg(z0)) 0(z0) -> c_0(z0) 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1(c_0(c_0(c_1(c_1(c_1(c_1(c_0(c_1(c_0(c_1(c_0(c_1(c_0(c_1(c_0(c_1(c_1(c_0(c_1(c_1(c_1(c_1(c_0(c_1(c_0(c_1(c_0(c_1(c_1(c_1(c_1(c_0(c_0(c_1(c_1(c_0(c_0(c_0(c_0(c_0(c_0(c_1(c_1(c_1(c_0(c_0(c_1(c_1(c_0(c_0(c_1(c_1(c_0(c_0(c_1(c_1(c_1(c_0(c_1(c_1(c_0(c_1(c_1(c_0(c_0(c_1(c_1(c_1(c_0(c_0(c_0(c_1(c_1(c_0(c_0(c_1(c_1(c_0(c_0(c_0(z0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> 1(0(0(0(1(0(1(0(0(1(0(1(0(0(0(1(0(0(1(1(1(0(0(1(1(0(0(1(0(0(0(0(1(1(0(0(1(1(0(1(0(0(0(0(0(0(1(1(1(1(1(1(0(0(0(0(0(1(1(1(1(1(1(1(0(1(1(1(0(1(1(0(0(1(1(0(0(0(0(0(0(0(z0)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) Tuples: ENCARG(cons_0(z0)) -> c(0'(encArg(z0)), ENCARG(z0)) ENCARG(cons_1(z0)) -> c1(1'(encArg(z0)), ENCARG(z0)) ENCODE_0(z0) -> c2(0'(encArg(z0)), ENCARG(z0)) ENCODE_1(z0) -> c3(1'(encArg(z0)), ENCARG(z0)) 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1'(1(1(1(0(1(1(1(0(1(1(0(0(1(1(0(0(0(0(0(0(0(z0)))))))))))))))))))))), 1'(1(1(0(1(1(1(0(1(1(0(0(1(1(0(0(0(0(0(0(0(z0))))))))))))))))))))), 1'(1(0(1(1(1(0(1(1(0(0(1(1(0(0(0(0(0(0(0(z0)))))))))))))))))))), 1'(0(1(1(1(0(1(1(0(0(1(1(0(0(0(0(0(0(0(z0))))))))))))))))))), 0'(1(1(1(0(1(1(0(0(1(1(0(0(0(0(0(0(0(z0)))))))))))))))))), 1'(1(1(0(1(1(0(0(1(1(0(0(0(0(0(0(0(z0))))))))))))))))), 1'(1(0(1(1(0(0(1(1(0(0(0(0(0(0(0(z0)))))))))))))))), 1'(0(1(1(0(0(1(1(0(0(0(0(0(0(0(z0))))))))))))))), 0'(1(1(0(0(1(1(0(0(0(0(0(0(0(z0)))))))))))))), 1'(1(0(0(1(1(0(0(0(0(0(0(0(z0))))))))))))), 1'(0(0(1(1(0(0(0(0(0(0(0(z0)))))))))))), 0'(0(1(1(0(0(0(0(0(0(0(z0))))))))))), 0'(1(1(0(0(0(0(0(0(0(z0)))))))))), 1'(1(0(0(0(0(0(0(0(z0))))))))), 1'(0(0(0(0(0(0(0(z0)))))))), 0'(0(0(0(0(0(0(z0))))))), 0'(0(0(0(0(0(z0)))))), 0'(0(0(0(0(z0))))), 0'(0(0(0(z0)))), 0'(0(0(z0))), 0'(0(z0)), 0'(z0)) K tuples:none Defined Rule Symbols: 0_1, 1_1, encArg_1, encode_0_1, encode_1_1 Defined Pair Symbols: ENCARG_1, ENCODE_0_1, ENCODE_1_1, 0'_1, 1'_1 Compound Symbols: c_2, c1_2, c2_2, c3_2, c5_82, c6_82, c7_83, c8_82, c9_86, c10_82, c11_84, c12_82, c13_82, c14_82, c15_85, c16_82, c17_82, c18_82, c19_83, c20_82, c21_86, c22_82, c23_84, c24_83, c25_85, c26_82, c27_83, c28_84, c30_82, c31_82, c32_82, c33_84, c34_82, c35_82, c36_82 ---------------------------------------- (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_1(z0)) -> 1(encArg(z0)) encode_0(z0) -> 0(encArg(z0)) encode_1(z0) -> 1(encArg(z0)) 0(z0) -> c_0(z0) 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ENCODE_0_1, ENCODE_1_1 Compound Symbols: c_2, c1_2, c5_82, c6_82, c7_83, c8_82, c9_86, c10_82, c11_84, c12_82, c13_82, c14_82, c15_85, c16_82, c17_82, c18_82, c19_83, c20_82, c21_86, c22_82, c23_84, c24_83, c25_85, c26_82, c27_83, c28_84, c30_82, c31_82, c32_82, c33_84, c34_82, c35_82, c36_82, c4_1 ---------------------------------------- (43) CdtLeafRemovalProof (ComplexityIfPolyImplication) Removed 2 leading nodes: ENCODE_0(z0) -> c4(ENCARG(z0)) ENCODE_1(z0) -> c4(ENCARG(z0)) ---------------------------------------- (44) Obligation: Complexity Dependency Tuples Problem Rules: encArg(cons_0(z0)) -> 0(encArg(z0)) encArg(cons_1(z0)) -> 1(encArg(z0)) encode_0(z0) -> 0(encArg(z0)) encode_1(z0) -> 1(encArg(z0)) 0(z0) -> c_0(z0) 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1'(1(1(1(0(1(1(1(0(1(1(0(0(1(1(0(0(0(0(0(0(0(z0)))))))))))))))))))))), 1'(1(1(0(1(1(1(0(1(1(0(0(1(1(0(0(0(0(0(0(0(z0))))))))))))))))))))), 1'(1(0(1(1(1(0(1(1(0(0(1(1(0(0(0(0(0(0(0(z0)))))))))))))))))))), 1'(0(1(1(1(0(1(1(0(0(1(1(0(0(0(0(0(0(0(z0))))))))))))))))))), 0'(1(1(1(0(1(1(0(0(1(1(0(0(0(0(0(0(0(z0)))))))))))))))))), 1'(1(1(0(1(1(0(0(1(1(0(0(0(0(0(0(0(z0))))))))))))))))), 1'(1(0(1(1(0(0(1(1(0(0(0(0(0(0(0(z0)))))))))))))))), 1'(0(1(1(0(0(1(1(0(0(0(0(0(0(0(z0))))))))))))))), 0'(1(1(0(0(1(1(0(0(0(0(0(0(0(z0)))))))))))))), 1'(1(0(0(1(1(0(0(0(0(0(0(0(z0))))))))))))), 1'(0(0(1(1(0(0(0(0(0(0(0(z0)))))))))))), 0'(0(1(1(0(0(0(0(0(0(0(z0))))))))))), 0'(1(1(0(0(0(0(0(0(0(z0)))))))))), 1'(1(0(0(0(0(0(0(0(z0))))))))), 1'(0(0(0(0(0(0(0(z0)))))))), 0'(0(0(0(0(0(0(z0))))))), 0'(0(0(0(0(0(z0)))))), 0'(0(0(0(0(z0))))), 0'(0(0(0(z0)))), 0'(0(0(z0))), 0'(0(z0)), 0'(z0)) K tuples:none Defined Rule Symbols: 0_1, 1_1, encArg_1, encode_0_1, encode_1_1 Defined Pair Symbols: ENCARG_1, 0'_1, 1'_1, ENCODE_0_1, ENCODE_1_1 Compound Symbols: c_2, c1_2, c5_82, c6_82, c7_83, c8_82, c9_86, c10_82, c11_84, c12_82, c13_82, c14_82, c15_85, c16_82, c17_82, c18_82, c19_83, c20_82, c21_86, c22_82, c23_84, c24_83, c25_85, c26_82, c27_83, c28_84, c30_82, c31_82, c32_82, c33_84, c34_82, c35_82, c36_82, c4_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)) ---------------------------------------- (46) Obligation: Complexity Dependency Tuples Problem Rules: encArg(cons_0(z0)) -> 0(encArg(z0)) encArg(cons_1(z0)) -> 1(encArg(z0)) 0(z0) -> c_0(z0) 0(c_0(c_1(c_0(c_1(c_1(c_0(c_0(c_0(c_1(c_1(c_1(c_0(c_0(c_1(c_1(c_1(c_0(c_1(c_0(c_0(c_1(c_0(c_0(c_1(c_1(c_0(c_0(c_1(c_1(c_1(c_1(c_0(c_1(c_1(c_1(c_0(c_1(c_0(c_0(c_1(c_1(c_1(c_0(c_0(c_1(c_0(c_0(c_0(c_1(c_0(c_1(c_1(c_1(c_1(c_1(c_0(c_1(c_0(c_0(c_0(c_0(c_0(c_1(c_1(c_1(c_1(c_0(c_1(c_1(c_1(c_1(c_0(c_0(c_1(c_1(c_0(c_1(c_1(c_0(c_0(z0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> 1(0(0(0(1(0(1(0(0(1(0(1(0(0(0(1(0(0(1(1(1(0(0(1(1(0(0(1(0(0(0(0(1(1(0(0(1(1(0(1(0(0(0(0(0(0(1(1(1(1(1(1(0(0(0(0(0(1(1(1(1(1(1(1(0(1(1(1(0(1(1(0(1(0(0(1(0(0(1(1(0(0(z0)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) 0(c_0(c_1(c_0(c_1(c_1(c_0(c_0(c_0(c_1(c_1(c_1(c_0(c_0(c_1(c_1(c_1(c_0(c_1(c_0(c_0(c_1(c_0(c_0(c_1(c_1(c_0(c_0(c_1(c_1(c_1(c_1(c_0(c_1(c_1(c_1(c_0(c_1(c_0(c_0(c_1(c_1(c_1(c_0(c_0(c_1(c_0(c_0(c_0(c_0(c_1(c_1(c_1(c_1(c_1(c_1(c_1(c_1(c_1(c_1(c_0(c_0(c_1(c_0(c_0(c_1(c_0(c_0(c_1(c_1(c_0(c_1(c_0(c_0(c_1(c_1(c_1(c_1(c_0(c_1(c_0(z0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> 0(0(0(0(0(1(0(0(1(1(0(1(0(0(0(0(1(1(1(0(0(1(1(1(0(1(1(0(0(0(0(1(0(0(1(1(0(0(1(1(0(0(0(1(1(0(0(1(0(1(1(0(0(0(0(1(0(0(1(0(0(1(1(1(1(0(0(1(1(0(0(1(0(0(1(1(1(1(0(0(1(0(z0)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) 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1'(1(1(1(0(1(1(1(0(1(1(0(0(1(1(0(0(0(0(0(0(0(z0)))))))))))))))))))))), 1'(1(1(0(1(1(1(0(1(1(0(0(1(1(0(0(0(0(0(0(0(z0))))))))))))))))))))), 1'(1(0(1(1(1(0(1(1(0(0(1(1(0(0(0(0(0(0(0(z0)))))))))))))))))))), 1'(0(1(1(1(0(1(1(0(0(1(1(0(0(0(0(0(0(0(z0))))))))))))))))))), 0'(1(1(1(0(1(1(0(0(1(1(0(0(0(0(0(0(0(z0)))))))))))))))))), 1'(1(1(0(1(1(0(0(1(1(0(0(0(0(0(0(0(z0))))))))))))))))), 1'(1(0(1(1(0(0(1(1(0(0(0(0(0(0(0(z0)))))))))))))))), 1'(0(1(1(0(0(1(1(0(0(0(0(0(0(0(z0))))))))))))))), 0'(1(1(0(0(1(1(0(0(0(0(0(0(0(z0)))))))))))))), 1'(1(0(0(1(1(0(0(0(0(0(0(0(z0))))))))))))), 1'(0(0(1(1(0(0(0(0(0(0(0(z0)))))))))))), 0'(0(1(1(0(0(0(0(0(0(0(z0))))))))))), 0'(1(1(0(0(0(0(0(0(0(z0)))))))))), 1'(1(0(0(0(0(0(0(0(z0))))))))), 1'(0(0(0(0(0(0(0(z0)))))))), 0'(0(0(0(0(0(0(z0))))))), 0'(0(0(0(0(0(z0)))))), 0'(0(0(0(0(z0))))), 0'(0(0(0(z0)))), 0'(0(0(z0))), 0'(0(z0)), 0'(z0)) K tuples:none Defined Rule Symbols: encArg_1, 0_1, 1_1 Defined Pair Symbols: ENCARG_1, 0'_1, 1'_1, ENCODE_0_1, ENCODE_1_1 Compound Symbols: c_2, c1_2, c5_82, c6_82, c7_83, c8_82, c9_86, c10_82, c11_84, c12_82, c13_82, c14_82, c15_85, c16_82, c17_82, c18_82, c19_83, c20_82, c21_86, c22_82, c23_84, c24_83, c25_85, c26_82, c27_83, c28_84, c30_82, c31_82, c32_82, c33_84, c34_82, c35_82, c36_82, c4_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_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_1(z0)) -> 1(encArg(z0)) 0(z0) -> c_0(z0) 0(c_0(c_1(c_0(c_1(c_1(c_0(c_0(c_0(c_1(c_1(c_1(c_0(c_0(c_1(c_1(c_1(c_0(c_1(c_0(c_0(c_1(c_0(c_0(c_1(c_1(c_0(c_0(c_1(c_1(c_1(c_1(c_0(c_1(c_1(c_1(c_0(c_1(c_0(c_0(c_1(c_1(c_1(c_0(c_0(c_1(c_0(c_0(c_0(c_1(c_0(c_1(c_1(c_1(c_1(c_1(c_0(c_1(c_0(c_0(c_0(c_0(c_0(c_1(c_1(c_1(c_1(c_0(c_1(c_1(c_1(c_1(c_0(c_0(c_1(c_1(c_0(c_1(c_1(c_0(c_0(z0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> 1(0(0(0(1(0(1(0(0(1(0(1(0(0(0(1(0(0(1(1(1(0(0(1(1(0(0(1(0(0(0(0(1(1(0(0(1(1(0(1(0(0(0(0(0(0(1(1(1(1(1(1(0(0(0(0(0(1(1(1(1(1(1(1(0(1(1(1(0(1(1(0(1(0(0(1(0(0(1(1(0(0(z0)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) 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1'(1(1(1(0(1(1(1(0(1(1(0(0(1(1(0(0(0(0(0(0(0(z0)))))))))))))))))))))), 1'(1(1(0(1(1(1(0(1(1(0(0(1(1(0(0(0(0(0(0(0(z0))))))))))))))))))))), 1'(1(0(1(1(1(0(1(1(0(0(1(1(0(0(0(0(0(0(0(z0)))))))))))))))))))), 1'(0(1(1(1(0(1(1(0(0(1(1(0(0(0(0(0(0(0(z0))))))))))))))))))), 0'(1(1(1(0(1(1(0(0(1(1(0(0(0(0(0(0(0(z0)))))))))))))))))), 1'(1(1(0(1(1(0(0(1(1(0(0(0(0(0(0(0(z0))))))))))))))))), 1'(1(0(1(1(0(0(1(1(0(0(0(0(0(0(0(z0)))))))))))))))), 1'(0(1(1(0(0(1(1(0(0(0(0(0(0(0(z0))))))))))))))), 0'(1(1(0(0(1(1(0(0(0(0(0(0(0(z0)))))))))))))), 1'(1(0(0(1(1(0(0(0(0(0(0(0(z0))))))))))))), 1'(0(0(1(1(0(0(0(0(0(0(0(z0)))))))))))), 0'(0(1(1(0(0(0(0(0(0(0(z0))))))))))), 0'(1(1(0(0(0(0(0(0(0(z0)))))))))), 1'(1(0(0(0(0(0(0(0(z0))))))))), 1'(0(0(0(0(0(0(0(z0)))))))), 0'(0(0(0(0(0(0(z0))))))), 0'(0(0(0(0(0(z0)))))), 0'(0(0(0(0(z0))))), 0'(0(0(0(z0)))), 0'(0(0(z0))), 0'(0(z0)), 0'(z0)) K tuples:none Defined Rule Symbols: encArg_1, 0_1, 1_1 Defined Pair Symbols: ENCARG_1, 0'_1, 1'_1, ENCODE_0_1, ENCODE_1_1 Compound Symbols: c1_2, c5_82, c6_82, c7_83, c8_82, c9_86, c10_82, c11_84, c12_82, c13_82, c14_82, c15_85, c16_82, c17_82, c18_82, c19_83, c20_82, c21_86, c22_82, c23_84, c24_83, c25_85, c26_82, c27_83, c28_84, c30_82, c31_82, c32_82, c33_84, c34_82, c35_82, c36_82, c4_1, c_2 ---------------------------------------- (49) CdtNarrowingProof (BOTH BOUNDS(ID, ID)) Use narrowing to replace ENCARG(cons_1(z0)) -> c1(1'(encArg(z0)), ENCARG(z0)) by ENCARG(cons_1(cons_0(z0))) -> c1(1'(0(encArg(z0))), ENCARG(cons_0(z0))) ENCARG(cons_1(cons_1(z0))) -> c1(1'(1(encArg(z0))), ENCARG(cons_1(z0))) ---------------------------------------- (50) Obligation: Complexity Dependency Tuples Problem Rules: encArg(cons_0(z0)) -> 0(encArg(z0)) encArg(cons_1(z0)) -> 1(encArg(z0)) 0(z0) -> c_0(z0) 0(c_0(c_1(c_0(c_1(c_1(c_0(c_0(c_0(c_1(c_1(c_1(c_0(c_0(c_1(c_1(c_1(c_0(c_1(c_0(c_0(c_1(c_0(c_0(c_1(c_1(c_0(c_0(c_1(c_1(c_1(c_1(c_0(c_1(c_1(c_1(c_0(c_1(c_0(c_0(c_1(c_1(c_1(c_0(c_0(c_1(c_0(c_0(c_0(c_1(c_0(c_1(c_1(c_1(c_1(c_1(c_0(c_1(c_0(c_0(c_0(c_0(c_0(c_1(c_1(c_1(c_1(c_0(c_1(c_1(c_1(c_1(c_0(c_0(c_1(c_1(c_0(c_1(c_1(c_0(c_0(z0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> 1(0(0(0(1(0(1(0(0(1(0(1(0(0(0(1(0(0(1(1(1(0(0(1(1(0(0(1(0(0(0(0(1(1(0(0(1(1(0(1(0(0(0(0(0(0(1(1(1(1(1(1(0(0(0(0(0(1(1(1(1(1(1(1(0(1(1(1(0(1(1(0(1(0(0(1(0(0(1(1(0(0(z0)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) 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