/export/starexec/sandbox/solver/bin/starexec_run_rcdcRelativeAlsoLower /export/starexec/sandbox/benchmark/theBenchmark.xml /export/starexec/sandbox/output/output_files -------------------------------------------------------------------------------- KILLED proof of /export/starexec/sandbox/benchmark/theBenchmark.xml # AProVE Commit ID: 794c25de1cacf0d048858bcd21c9a779e1221865 marcel 20200619 unpublished dirty The Derivational Complexity (innermost) of the given DCpxTrs could be proven to be BOUNDS(1, INF). (0) DCpxTrs (1) DerivationalComplexityToRuntimeComplexityProof [BOTH BOUNDS(ID, ID), 0 ms] (2) CpxRelTRS (3) SInnermostTerminationProof [BOTH CONCRETE BOUNDS(ID, ID), 58 ms] (4) CpxRelTRS (5) RelTrsToDecreasingLoopProblemProof [LOWER BOUND(ID), 0 ms] (6) TRS for Loop Detection (7) RenamingProof [BOTH BOUNDS(ID, ID), 10 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) RelTrsToWeightedTrsProof [BOTH BOUNDS(ID, ID), 1 ms] (18) CpxWeightedTrs (19) CpxWeightedTrsRenamingProof [BOTH BOUNDS(ID, ID), 31 ms] (20) CpxWeightedTrs (21) TypeInferenceProof [BOTH BOUNDS(ID, ID), 0 ms] (22) CpxTypedWeightedTrs (23) CompletionProof [UPPER BOUND(ID), 12 ms] (24) CpxTypedWeightedCompleteTrs (25) NarrowingProof [BOTH BOUNDS(ID, ID), 422 ms] (26) CpxTypedWeightedCompleteTrs (27) CpxTypedWeightedTrsToRntsProof [UPPER BOUND(ID), 141 ms] (28) CpxRNTS (29) SimplificationProof [BOTH BOUNDS(ID, ID), 77 ms] (30) CpxRNTS (31) CompletionProof [UPPER BOUND(ID), 9 ms] (32) CpxTypedWeightedCompleteTrs (33) CpxTypedWeightedTrsToRntsProof [UPPER BOUND(ID), 13 ms] (34) CpxRNTS (35) CpxTrsToCdtProof [UPPER BOUND(ID), 44.5 s] (36) CdtProblem (37) CdtRhsSimplificationProcessorProof [BOTH BOUNDS(ID, ID), 11.3 s] (38) CdtProblem (39) CdtGraphSplitRhsProof [BOTH BOUNDS(ID, ID), 0 ms] (40) CdtProblem (41) CdtLeafRemovalProof [ComplexityIfPolyImplication, 0 ms] (42) CdtProblem (43) CdtUsableRulesProof [BOTH BOUNDS(ID, ID), 185.5 s] (44) CdtProblem ---------------------------------------- (0) Obligation: The Derivational Complexity (innermost) of the given DCpxTrs could be proven to be BOUNDS(1, INF). The TRS R consists of the following rules: 0(0(1(0(1(0(1(1(0(0(0(0(1(1(1(1(0(1(1(1(0(1(1(1(1(0(0(0(0(0(0(0(1(1(1(1(1(0(1(1(0(1(0(1(1(0(1(1(0(1(1(0(0(1(0(0(1(0(1(1(1(1(1(0(1(0(1(0(0(1(0(1(1(1(1(1(1(1(1(0(1(x1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> 0(0(1(1(0(0(1(1(0(1(1(0(0(0(0(0(1(0(0(1(0(1(0(1(1(0(1(0(0(1(0(0(0(0(1(1(0(1(0(1(0(1(0(0(1(1(0(0(1(0(0(1(0(1(0(1(1(1(1(0(1(0(1(0(1(1(0(0(0(0(1(1(1(0(1(0(0(0(0(0(0(1(x1)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) 0(0(1(0(1(0(1(1(0(0(0(0(1(1(1(1(0(1(1(1(0(1(1(1(1(0(0(0(0(0(0(0(1(1(1(1(1(0(1(1(0(1(0(1(1(0(1(1(0(1(1(0(0(1(0(0(1(0(1(1(1(1(1(0(1(0(1(0(0(1(0(1(1(1(1(1(1(1(1(0(1(x1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> 0(0(1(1(0(0(1(1(0(1(1(0(0(0(0(0(1(0(0(1(0(1(0(1(1(1(0(1(0(0(1(0(0(1(0(0(0(0(0(1(1(0(0(0(0(0(0(0(0(1(1(0(1(0(1(0(1(1(1(1(1(0(1(0(0(1(0(0(1(0(0(1(1(0(0(1(1(0(0(0(1(1(0(x1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) 0(0(1(0(1(0(1(1(0(0(0(0(1(1(1(1(0(1(1(1(0(1(1(1(1(0(0(0(0(0(0(0(1(1(1(1(1(0(1(1(0(1(0(1(1(0(1(1(0(1(1(0(0(1(0(0(1(0(1(1(1(1(1(0(1(1(0(0(0(1(1(0(1(1(1(1(0(1(1(1(1(x1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> 0(0(1(1(0(0(1(1(0(1(1(0(0(0(0(0(1(0(0(1(0(1(0(1(1(1(0(1(0(0(1(0(0(1(0(0(0(0(0(1(1(0(0(0(0(0(0(0(0(1(1(0(1(0(1(0(1(1(1(1(1(0(1(0(0(1(1(1(1(1(0(1(0(0(1(0(1(0(1(0(0(1(x1)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) 0(0(1(0(1(0(1(1(0(0(0(0(1(1(1(1(0(1(1(1(0(1(1(1(1(0(0(0(0(0(0(0(1(1(1(1(1(0(1(1(0(1(0(1(1(0(1(1(0(1(1(0(0(1(0(0(1(0(1(1(1(1(1(0(1(1(0(0(0(1(1(0(1(1(1(1(0(1(1(1(1(x1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> 0(0(1(1(0(0(1(1(0(1(1(0(0(0(0(0(1(0(0(1(0(1(0(1(1(1(0(1(0(0(1(0(0(1(0(0(0(0(0(1(1(0(0(0(0(0(0(0(0(1(1(0(1(0(1(0(1(1(1(1(1(0(1(0(0(1(1(1(1(1(0(1(1(0(0(0(1(0(1(0(1(1(0(x1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) 0(0(1(0(1(0(1(1(0(0(0(0(1(1(1(1(0(1(1(1(0(1(1(1(1(0(0(0(0(0(0(0(1(1(1(1(1(0(1(1(0(1(0(1(1(0(1(1(0(1(1(0(0(1(0(0(1(0(1(1(1(1(1(0(1(1(0(0(0(1(1(0(1(1(1(1(0(1(1(1(1(x1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> 0(0(1(1(0(0(1(1(0(1(1(0(0(0(0(0(1(0(0(1(0(1(0(1(1(1(0(1(0(0(1(0(0(1(0(1(0(0(1(0(0(1(1(0(1(0(1(0(1(1(1(0(1(0(1(0(0(0(1(0(1(0(0(0(0(1(0(1(1(0(1(1(1(1(1(0(0(1(0(1(1(1(0(x1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) 0(0(1(1(0(0(1(1(0(1(1(0(0(0(0(0(1(0(0(1(0(1(0(1(1(0(1(0(0(1(0(0(0(0(1(1(0(1(0(1(0(1(0(0(1(1(0(0(1(0(0(1(0(1(0(1(1(1(1(0(1(0(1(0(1(1(0(0(0(0(1(1(1(0(0(1(0(1(0(1(1(x1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> 0(0(1(1(0(0(1(1(0(1(1(0(0(0(0(0(1(0(0(1(0(1(0(1(1(1(0(1(0(0(1(0(0(1(0(0(0(0(0(1(1(0(0(0(0(0(0(0(0(1(1(0(1(0(1(0(1(0(0(0(0(0(0(1(1(0(1(0(1(0(1(0(1(1(1(0(0(1(1(1(1(1(x1)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) 0(0(1(1(0(0(1(1(0(1(1(0(0(0(0(0(1(0(0(1(0(1(0(1(1(0(1(0(0(1(0(0(0(0(1(1(0(1(0(1(0(1(0(0(1(1(0(0(1(0(0(1(0(1(0(1(1(1(1(0(1(0(1(0(1(1(0(1(0(1(1(0(1(1(0(0(1(1(0(0(0(x1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> 0(0(1(1(1(1(1(0(1(1(1(1(0(1(0(1(1(0(1(0(0(1(1(1(1(0(0(0(1(0(0(1(1(1(1(0(0(1(1(0(1(0(1(1(1(0(0(0(1(0(0(1(1(1(0(0(0(0(1(1(0(0(0(1(0(0(1(0(0(0(0(0(1(1(0(0(0(0(1(0(1(1(0(x1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) 0(0(1(1(0(0(1(1(0(1(1(0(0(0(0(0(1(0(0(1(0(1(0(1(1(0(1(0(0(1(0(0(0(0(1(1(0(1(0(1(0(1(0(0(1(1(0(0(1(0(0(1(0(1(0(1(1(1(1(0(1(0(1(0(1(1(0(1(0(1(1(0(1(1(0(0(1(1(0(0(0(x1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> 0(0(1(1(0(0(1(1(0(1(1(0(0(0(0(0(1(0(0(1(0(1(0(1(1(0(1(0(0(1(0(0(0(0(1(1(0(1(0(1(0(1(0(0(1(1(0(0(1(0(0(1(0(1(0(1(1(1(1(0(1(0(1(0(1(1(0(0(0(0(1(1(1(0(1(0(0(0(0(0(0(1(0(0(x1)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) 0(0(1(1(0(0(1(1(0(1(1(0(0(0(0(0(1(0(0(1(0(1(0(1(1(1(0(1(0(0(1(0(0(0(1(0(0(0(1(0(0(0(0(1(0(1(1(0(1(0(1(1(1(0(1(1(0(0(1(0(0(1(0(1(1(0(1(0(1(0(0(1(0(1(1(0(1(0(1(0(0(x1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> 0(0(1(1(0(0(1(1(0(1(1(0(0(0(0(0(1(0(0(1(0(1(0(1(1(1(0(1(0(0(1(0(0(1(0(0(0(0(0(1(1(0(0(0(0(0(0(0(0(1(1(0(1(0(1(0(1(0(0(0(0(0(0(1(1(0(1(0(1(0(1(0(1(1(1(0(0(1(1(1(1(1(x1)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) 0(0(1(1(0(0(1(1(0(1(1(0(0(0(0(0(1(0(0(1(0(1(0(1(1(1(0(1(0(0(1(0(0(0(1(0(0(0(1(0(0(0(0(1(0(1(1(0(1(0(1(1(1(0(1(1(0(0(1(0(0(1(0(1(1(0(1(0(1(0(0(1(0(1(1(0(1(0(1(0(0(x1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> 0(0(1(1(0(0(1(1(0(1(1(0(0(0(0(0(1(0(0(1(0(1(0(1(1(1(0(1(0(0(1(0(0(1(0(0(0(0(0(1(1(0(0(0(0(0(0(0(0(1(1(0(1(0(1(0(1(1(1(1(1(0(1(0(0(1(1(1(1(1(0(1(1(0(0(0(1(0(1(0(0(1(x1)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) 0(0(1(1(0(0(1(1(0(1(1(0(0(0(0(0(1(0(0(1(0(1(0(1(1(1(0(1(0(0(1(0(0(1(0(0(0(0(0(1(1(0(0(0(0(0(0(0(0(1(1(0(1(0(1(0(1(1(1(1(1(0(1(0(0(1(1(1(1(1(0(1(0(0(1(0(1(0(1(0(0(x1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> 0(0(1(1(0(0(1(1(0(1(1(0(0(0(0(0(1(0(0(1(0(1(0(1(1(1(0(1(0(0(1(0(0(1(0(0(0(0(0(1(1(0(0(0(0(0(0(0(0(1(1(0(1(0(1(0(1(0(0(0(0(0(0(1(1(0(1(0(1(0(1(0(1(1(1(0(0(1(1(1(1(1(x1)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) 0(0(1(1(0(0(1(1(0(1(1(0(0(0(0(0(1(0(0(1(0(1(0(1(1(1(0(1(0(0(1(0(0(1(0(0(0(0(0(1(1(0(0(0(0(0(0(0(0(1(1(0(1(0(1(0(1(1(1(1(1(0(1(0(0(1(1(1(1(1(0(1(0(0(1(0(1(0(1(0(0(x1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> 0(0(1(1(0(0(1(1(0(1(1(0(0(0(0(0(1(0(0(1(0(1(0(1(1(1(0(1(0(0(1(0(0(1(0(0(0(0(0(1(1(0(0(0(0(0(0(0(0(1(1(0(1(0(1(0(1(1(1(1(1(0(1(0(0(1(0(0(1(0(0(1(1(0(0(1(1(0(0(0(1(1(0(x1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) 0(0(1(1(0(0(1(1(0(1(1(0(0(0(0(0(1(0(0(1(0(1(0(1(1(1(0(1(0(0(1(0(0(1(0(1(0(0(1(0(0(1(1(0(1(0(1(0(1(1(1(0(1(0(1(0(0(0(1(0(1(0(0(0(0(1(0(1(1(0(1(1(1(1(1(0(0(1(0(1(0(x1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> 0(0(1(1(0(0(1(1(0(1(1(0(0(0(0(0(1(0(0(1(0(1(0(1(1(1(0(1(0(0(1(0(0(1(0(0(0(0(0(1(1(0(0(0(0(0(0(0(0(1(1(0(1(0(1(0(1(0(0(0(0(0(0(1(1(0(1(0(1(0(1(0(1(1(1(0(0(1(1(1(1(1(x1)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) 0(0(1(1(0(0(1(1(0(1(1(0(0(0(0(0(1(0(0(1(0(1(0(1(1(1(0(1(0(0(1(0(0(1(0(1(0(0(1(0(0(1(1(0(1(0(1(0(1(1(1(0(1(0(1(0(0(0(1(0(1(0(0(0(0(1(0(1(1(0(1(1(1(1(1(0(0(1(0(1(0(x1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> 0(0(1(1(0(0(1(1(0(1(1(0(0(0(0(0(1(0(0(1(0(1(0(1(1(1(0(1(0(0(1(0(0(1(0(0(0(0(0(1(1(0(0(0(0(0(0(0(0(1(1(0(1(0(1(0(1(1(1(1(1(0(1(0(0(1(1(1(1(1(0(1(1(0(0(0(1(0(1(0(1(1(x1)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) 0(0(1(1(0(0(1(1(0(1(1(0(0(0(0(0(1(0(0(1(0(1(0(1(1(1(0(1(0(0(1(0(0(1(0(1(0(0(1(0(0(1(1(0(1(0(1(0(1(1(1(0(1(0(1(0(0(0(1(0(1(0(0(0(0(1(0(1(1(0(1(1(1(1(1(0(0(1(0(1(1(x1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> 0(0(1(1(0(0(1(1(0(1(1(0(0(0(0(0(1(0(0(1(0(1(0(1(1(1(0(1(0(0(1(0(0(1(0(0(0(0(0(1(1(0(0(0(0(0(0(0(0(1(1(0(1(0(1(0(1(1(1(1(1(0(1(0(0(1(1(1(1(1(0(1(1(0(0(0(1(0(1(0(1(1(x1)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) 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0(0(1(1(0(0(1(1(0(1(1(0(0(0(0(0(1(0(0(1(0(1(0(1(1(1(0(1(0(0(1(0(0(1(0(0(0(0(0(1(1(0(0(0(0(0(0(0(0(1(1(0(1(0(1(0(1(1(1(1(1(0(1(0(0(1(1(1(1(1(0(1(1(1(1(0(1(1(1(1(1(1(x1)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) S is empty. Rewrite Strategy: INNERMOST ---------------------------------------- (1) DerivationalComplexityToRuntimeComplexityProof (BOTH BOUNDS(ID, ID)) The following rules have been added to S to convert the given derivational complexity problem to a runtime complexity problem: encArg(cons_0(x_1)) -> 0(encArg(x_1)) encArg(cons_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 (innermost) of the given CpxRelTRS could be proven to be BOUNDS(1, INF). 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0(0(1(1(1(1(1(0(1(1(1(1(0(1(0(1(1(0(1(0(0(1(1(1(1(0(1(0(0(0(1(0(1(1(1(1(0(0(0(1(1(0(1(1(1(0(1(0(0(0(0(1(0(1(1(0(0(0(1(0(0(1(0(1(0(1(0(1(0(0(1(1(1(0(1(0(1(1(1(1(1(x1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> 0(0(1(1(0(0(1(1(0(1(1(0(0(0(0(0(1(0(0(1(0(1(0(1(1(1(0(1(0(0(1(0(0(1(0(1(0(0(1(0(0(1(1(0(1(0(1(0(1(1(1(0(1(0(1(0(0(0(1(0(1(0(0(0(0(1(0(1(1(0(1(1(1(1(1(0(0(1(0(0(1(1(x1)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) 1(0(0(1(1(0(1(1(0(0(0(0(0(1(1(0(0(1(0(1(0(0(0(1(0(0(0(0(1(0(1(1(0(1(0(1(0(1(1(1(1(0(1(1(0(1(0(1(1(0(1(1(0(0(1(1(1(1(1(1(0(1(1(0(1(0(1(0(0(0(0(0(0(1(0(0(1(0(1(0(1(x1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> 0(0(1(1(0(0(1(1(0(1(1(0(0(0(0(0(1(0(0(1(0(1(0(1(1(1(0(1(0(0(1(0(0(1(0(0(0(0(0(1(1(0(0(0(0(0(0(0(0(1(1(0(1(0(1(0(1(0(0(0(0(0(0(1(1(0(1(0(1(0(1(0(1(1(1(0(0(1(1(0(1(1(x1)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) 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0(0(1(1(0(0(1(1(0(1(1(0(0(0(0(0(1(0(0(1(0(1(0(1(1(1(0(1(0(0(1(0(0(1(0(0(0(0(0(1(1(0(0(0(0(0(0(0(0(1(1(0(1(0(1(0(1(1(1(1(1(0(1(0(0(1(1(1(1(1(0(1(1(1(1(0(1(1(1(1(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)) Rewrite Strategy: INNERMOST ---------------------------------------- (3) SInnermostTerminationProof (BOTH CONCRETE BOUNDS(ID, ID)) proved innermost termination of relative rules ---------------------------------------- (4) Obligation: The Runtime Complexity (innermost) of the given CpxRelTRS could be proven to be BOUNDS(1, INF). 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1(1(0(0(0(1(1(1(0(0(1(1(0(1(0(0(0(0(0(0(1(1(0(1(0(1(0(0(0(0(1(1(1(1(0(1(1(1(0(0(0(1(1(0(1(0(0(0(0(0(1(1(0(1(1(0(1(1(1(0(0(0(0(0(1(1(1(0(0(1(1(0(0(0(1(1(0(1(0(1(1(1(x1)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) 1(1(0(0(1(0(1(0(0(1(1(1(0(0(0(1(1(0(1(1(1(1(1(1(0(0(1(1(1(0(0(0(0(0(1(1(0(1(1(1(0(0(0(1(1(1(1(1(1(1(1(0(0(0(1(1(1(1(0(0(0(0(1(1(0(1(1(0(0(0(1(1(1(0(0(1(1(1(1(1(0(x1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> 0(0(1(1(1(1(1(0(1(1(1(1(0(1(0(1(1(0(1(0(0(1(1(1(1(0(0(0(1(0(0(1(1(1(1(0(0(1(1(0(1(0(1(1(1(0(0(0(1(0(0(1(1(1(0(0(0(0(1(1(0(0(0(1(0(0(1(0(0(0(0(0(1(1(1(0(0(0(0(0(0(1(x1)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) 1(1(0(0(1(0(1(0(0(1(1(1(0(0(0(1(1(0(1(1(1(1(1(1(0(0(1(1(1(0(0(0(0(0(1(1(0(1(1(1(0(0(0(1(1(1(1(1(1(1(1(0(0(0(1(1(1(1(0(0(0(0(1(1(0(1(1(0(0(0(1(1(1(0(0(1(1(1(1(1(1(x1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> 0(0(1(1(0(0(1(1(0(1(1(0(0(0(0(0(1(0(0(1(0(1(0(1(1(1(0(1(0(0(1(0(0(1(0(0(0(0(0(1(1(0(0(0(0(0(0(0(0(1(1(0(1(0(1(0(1(1(1(1(1(0(1(0(0(1(1(1(1(1(0(1(1(1(1(0(1(1(1(1(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)) Rewrite Strategy: INNERMOST ---------------------------------------- (5) RelTrsToDecreasingLoopProblemProof (LOWER BOUND(ID)) Transformed a relative TRS into a decreasing-loop problem. ---------------------------------------- (6) Obligation: Analyzing the following TRS for decreasing loops: The Runtime Complexity (innermost) of the given CpxRelTRS could be proven to be BOUNDS(1, INF). 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0(0(1(1(0(0(1(1(0(1(1(0(0(0(0(0(1(0(0(1(0(1(0(1(1(1(0(1(0(0(1(0(0(1(0(0(0(0(0(1(1(0(0(0(0(0(0(0(0(1(1(0(1(0(1(0(1(1(1(1(1(0(1(0(0(1(1(1(1(1(0(1(1(1(1(0(1(1(1(1(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)) Rewrite Strategy: INNERMOST ---------------------------------------- (7) RenamingProof (BOTH BOUNDS(ID, ID)) Renamed function symbols to avoid clashes with predefined symbol. ---------------------------------------- (8) Obligation: The Runtime Complexity (innermost) of the given CpxRelTRS could be proven to be BOUNDS(1, INF). 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0(0(1(1(0(0(1(1(0(1(1(0(0(0(0(0(1(0(0(1(0(1(0(1(1(1(0(1(0(0(1(0(0(1(0(0(0(0(0(1(1(0(0(0(0(0(0(0(0(1(1(0(1(0(1(0(1(1(1(1(1(0(1(0(0(1(1(1(1(1(0(1(1(1(1(0(1(1(1(1(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)) Rewrite Strategy: INNERMOST ---------------------------------------- (9) TypeInferenceProof (BOTH BOUNDS(ID, ID)) Infered types. ---------------------------------------- (10) Obligation: Innermost TRS: Rules: 0(0(1(0(1(0(1(1(0(0(0(0(1(1(1(1(0(1(1(1(0(1(1(1(1(0(0(0(0(0(0(0(1(1(1(1(1(0(1(1(0(1(0(1(1(0(1(1(0(1(1(0(0(1(0(0(1(0(1(1(1(1(1(0(1(0(1(0(0(1(0(1(1(1(1(1(1(1(1(0(1(x1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> 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1(1(0(0(1(0(1(0(0(1(1(1(0(0(0(1(1(0(1(1(1(1(1(1(0(0(1(1(1(0(0(0(0(0(1(1(0(1(1(1(0(0(0(1(1(1(1(1(1(1(1(0(0(0(1(1(1(1(0(0(0(0(1(1(0(1(1(0(0(0(1(1(1(0(0(1(1(1(0(1(1(x1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> 0(0(1(1(0(0(1(1(0(1(1(0(0(0(0(0(1(0(0(1(0(1(0(1(1(1(0(1(0(0(1(0(0(1(0(0(0(0(0(1(1(0(0(0(0(0(0(0(0(1(1(0(1(0(1(0(1(1(1(1(1(0(1(0(0(1(1(1(1(1(0(1(1(0(0(0(1(0(0(0(0(1(x1)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) 1(1(0(0(1(0(1(0(0(1(1(1(0(0(0(1(1(0(1(1(1(1(1(1(0(0(1(1(1(0(0(0(0(0(1(1(0(1(1(1(0(0(0(1(1(1(1(1(1(1(1(0(0(0(1(1(1(1(0(0(0(0(1(1(0(1(1(0(0(0(1(1(1(0(0(1(1(1(0(1(1(x1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> 1(1(0(0(0(1(1(1(0(0(1(1(0(1(0(0(0(0(0(0(1(1(0(1(0(1(0(0(0(0(1(1(1(1(0(1(1(1(0(0(0(1(1(0(1(0(0(0(0(0(1(1(0(1(1(0(1(1(1(0(0(0(0(0(1(1(1(0(0(1(1(0(0(0(1(1(0(1(0(1(1(1(x1)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) 1(1(0(0(1(0(1(0(0(1(1(1(0(0(0(1(1(0(1(1(1(1(1(1(0(0(1(1(1(0(0(0(0(0(1(1(0(1(1(1(0(0(0(1(1(1(1(1(1(1(1(0(0(0(1(1(1(1(0(0(0(0(1(1(0(1(1(0(0(0(1(1(1(0(0(1(1(1(1(1(0(x1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> 0(0(1(1(1(1(1(0(1(1(1(1(0(1(0(1(1(0(1(0(0(1(1(1(1(0(0(0(1(0(0(1(1(1(1(0(0(1(1(0(1(0(1(1(1(0(0(0(1(0(0(1(1(1(0(0(0(0(1(1(0(0(0(1(0(0(1(0(0(0(0(0(1(1(1(0(0(0(0(0(0(1(x1)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) 1(1(0(0(1(0(1(0(0(1(1(1(0(0(0(1(1(0(1(1(1(1(1(1(0(0(1(1(1(0(0(0(0(0(1(1(0(1(1(1(0(0(0(1(1(1(1(1(1(1(1(0(0(0(1(1(1(1(0(0(0(0(1(1(0(1(1(0(0(0(1(1(1(0(0(1(1(1(1(1(1(x1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> 0(0(1(1(0(0(1(1(0(1(1(0(0(0(0(0(1(0(0(1(0(1(0(1(1(1(0(1(0(0(1(0(0(1(0(0(0(0(0(1(1(0(0(0(0(0(0(0(0(1(1(0(1(0(1(0(1(1(1(1(1(0(1(0(0(1(1(1(1(1(0(1(1(1(1(0(1(1(1(1(1(1(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 :: 1:0:encArg:encode_0:encode_1 -> 1:0:encArg:encode_0:encode_1 1 :: 1:0:encArg:encode_0:encode_1 -> 1:0:encArg:encode_0:encode_1 encArg :: cons_0:cons_1 -> 1:0: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 -> 1:0:encArg:encode_0:encode_1 encode_1 :: cons_0:cons_1 -> 1:0:encArg:encode_0:encode_1 hole_1:0:encArg:encode_0:encode_11_2 :: 1:0: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: Innermost TRS: Rules: 0(0(1(0(1(0(1(1(0(0(0(0(1(1(1(1(0(1(1(1(0(1(1(1(1(0(0(0(0(0(0(0(1(1(1(1(1(0(1(1(0(1(0(1(1(0(1(1(0(1(1(0(0(1(0(0(1(0(1(1(1(1(1(0(1(0(1(0(0(1(0(1(1(1(1(1(1(1(1(0(1(x1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> 0(0(1(1(0(0(1(1(0(1(1(0(0(0(0(0(1(0(0(1(0(1(0(1(1(0(1(0(0(1(0(0(0(0(1(1(0(1(0(1(0(1(0(0(1(1(0(0(1(0(0(1(0(1(0(1(1(1(1(0(1(0(1(0(1(1(0(0(0(0(1(1(1(0(1(0(0(0(0(0(0(1(x1)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) 0(0(1(0(1(0(1(1(0(0(0(0(1(1(1(1(0(1(1(1(0(1(1(1(1(0(0(0(0(0(0(0(1(1(1(1(1(0(1(1(0(1(0(1(1(0(1(1(0(1(1(0(0(1(0(0(1(0(1(1(1(1(1(0(1(0(1(0(0(1(0(1(1(1(1(1(1(1(1(0(1(x1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> 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0(0(1(1(0(0(1(1(0(1(1(0(0(0(0(0(1(0(0(1(0(1(0(1(1(1(0(1(0(0(1(0(0(1(0(0(0(0(0(1(1(0(0(0(0(0(0(0(0(1(1(0(1(0(1(0(1(1(1(1(1(0(1(0(0(1(1(1(1(1(0(1(1(0(0(0(1(0(1(0(1(1(0(x1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) 0(0(1(0(1(0(1(1(0(0(0(0(1(1(1(1(0(1(1(1(0(1(1(1(1(0(0(0(0(0(0(0(1(1(1(1(1(0(1(1(0(1(0(1(1(0(1(1(0(1(1(0(0(1(0(0(1(0(1(1(1(1(1(0(1(1(0(0(0(1(1(0(1(1(1(1(0(1(1(1(1(x1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> 0(0(1(1(0(0(1(1(0(1(1(0(0(0(0(0(1(0(0(1(0(1(0(1(1(1(0(1(0(0(1(0(0(1(0(1(0(0(1(0(0(1(1(0(1(0(1(0(1(1(1(0(1(0(1(0(0(0(1(0(1(0(0(0(0(1(0(1(1(0(1(1(1(1(1(0(0(1(0(1(1(1(0(x1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) 0(0(1(1(0(0(1(1(0(1(1(0(0(0(0(0(1(0(0(1(0(1(0(1(1(0(1(0(0(1(0(0(0(0(1(1(0(1(0(1(0(1(0(0(1(1(0(0(1(0(0(1(0(1(0(1(1(1(1(0(1(0(1(0(1(1(0(0(0(0(1(1(1(0(0(1(0(1(0(1(1(x1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> 0(0(1(1(0(0(1(1(0(1(1(0(0(0(0(0(1(0(0(1(0(1(0(1(1(1(0(1(0(0(1(0(0(1(0(0(0(0(0(1(1(0(0(0(0(0(0(0(0(1(1(0(1(0(1(0(1(0(0(0(0(0(0(1(1(0(1(0(1(0(1(0(1(1(1(0(0(1(1(1(1(1(x1)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) 0(0(1(1(0(0(1(1(0(1(1(0(0(0(0(0(1(0(0(1(0(1(0(1(1(0(1(0(0(1(0(0(0(0(1(1(0(1(0(1(0(1(0(0(1(1(0(0(1(0(0(1(0(1(0(1(1(1(1(0(1(0(1(0(1(1(0(1(0(1(1(0(1(1(0(0(1(1(0(0(0(x1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> 0(0(1(1(1(1(1(0(1(1(1(1(0(1(0(1(1(0(1(0(0(1(1(1(1(0(0(0(1(0(0(1(1(1(1(0(0(1(1(0(1(0(1(1(1(0(0(0(1(0(0(1(1(1(0(0(0(0(1(1(0(0(0(1(0(0(1(0(0(0(0(0(1(1(0(0(0(0(1(0(1(1(0(x1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) 0(0(1(1(0(0(1(1(0(1(1(0(0(0(0(0(1(0(0(1(0(1(0(1(1(0(1(0(0(1(0(0(0(0(1(1(0(1(0(1(0(1(0(0(1(1(0(0(1(0(0(1(0(1(0(1(1(1(1(0(1(0(1(0(1(1(0(1(0(1(1(0(1(1(0(0(1(1(0(0(0(x1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> 0(0(1(1(0(0(1(1(0(1(1(0(0(0(0(0(1(0(0(1(0(1(0(1(1(0(1(0(0(1(0(0(0(0(1(1(0(1(0(1(0(1(0(0(1(1(0(0(1(0(0(1(0(1(0(1(1(1(1(0(1(0(1(0(1(1(0(0(0(0(1(1(1(0(1(0(0(0(0(0(0(1(0(0(x1)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) 0(0(1(1(0(0(1(1(0(1(1(0(0(0(0(0(1(0(0(1(0(1(0(1(1(1(0(1(0(0(1(0(0(0(1(0(0(0(1(0(0(0(0(1(0(1(1(0(1(0(1(1(1(0(1(1(0(0(1(0(0(1(0(1(1(0(1(0(1(0(0(1(0(1(1(0(1(0(1(0(0(x1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> 0(0(1(1(0(0(1(1(0(1(1(0(0(0(0(0(1(0(0(1(0(1(0(1(1(1(0(1(0(0(1(0(0(1(0(0(0(0(0(1(1(0(0(0(0(0(0(0(0(1(1(0(1(0(1(0(1(0(0(0(0(0(0(1(1(0(1(0(1(0(1(0(1(1(1(0(0(1(1(1(1(1(x1)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) 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1(1(0(0(0(1(1(1(0(0(1(1(0(1(0(0(0(0(0(0(1(1(0(1(0(1(0(0(0(0(1(1(1(1(0(1(1(1(0(0(0(1(1(0(1(0(0(0(0(0(1(1(0(1(1(0(1(1(1(0(0(0(0(0(1(1(1(0(0(1(1(0(0(0(1(1(0(1(0(1(1(1(x1)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) 1(1(0(0(1(0(1(0(0(1(1(1(0(0(0(1(1(0(1(1(1(1(1(1(0(0(1(1(1(0(0(0(0(0(1(1(0(1(1(1(0(0(0(1(1(1(1(1(1(1(1(0(0(0(1(1(1(1(0(0(0(0(1(1(0(1(1(0(0(0(1(1(1(0(0(1(1(1(1(1(0(x1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> 0(0(1(1(1(1(1(0(1(1(1(1(0(1(0(1(1(0(1(0(0(1(1(1(1(0(0(0(1(0(0(1(1(1(1(0(0(1(1(0(1(0(1(1(1(0(0(0(1(0(0(1(1(1(0(0(0(0(1(1(0(0(0(1(0(0(1(0(0(0(0(0(1(1(1(0(0(0(0(0(0(1(x1)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) 1(1(0(0(1(0(1(0(0(1(1(1(0(0(0(1(1(0(1(1(1(1(1(1(0(0(1(1(1(0(0(0(0(0(1(1(0(1(1(1(0(0(0(1(1(1(1(1(1(1(1(0(0(0(1(1(1(1(0(0(0(0(1(1(0(1(1(0(0(0(1(1(1(0(0(1(1(1(1(1(1(x1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> 0(0(1(1(0(0(1(1(0(1(1(0(0(0(0(0(1(0(0(1(0(1(0(1(1(1(0(1(0(0(1(0(0(1(0(0(0(0(0(1(1(0(0(0(0(0(0(0(0(1(1(0(1(0(1(0(1(1(1(1(1(0(1(0(0(1(1(1(1(1(0(1(1(1(1(0(1(1(1(1(1(1(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 :: 1:0:encArg:encode_0:encode_1 -> 1:0:encArg:encode_0:encode_1 1 :: 1:0:encArg:encode_0:encode_1 -> 1:0:encArg:encode_0:encode_1 encArg :: cons_0:cons_1 -> 1:0: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 -> 1:0:encArg:encode_0:encode_1 encode_1 :: cons_0:cons_1 -> 1:0:encArg:encode_0:encode_1 hole_1:0:encArg:encode_0:encode_11_2 :: 1:0: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 (innermost) of the given CpxTRS could be proven to be BOUNDS(1, INF). The TRS R consists of the following rules: 0(0(1(0(1(0(1(1(0(0(0(0(1(1(1(1(0(1(1(1(0(1(1(1(1(0(0(0(0(0(0(0(1(1(1(1(1(0(1(1(0(1(0(1(1(0(1(1(0(1(1(0(0(1(0(0(1(0(1(1(1(1(1(0(1(0(1(0(0(1(0(1(1(1(1(1(1(1(1(0(1(x1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> 0(0(1(1(0(0(1(1(0(1(1(0(0(0(0(0(1(0(0(1(0(1(0(1(1(0(1(0(0(1(0(0(0(0(1(1(0(1(0(1(0(1(0(0(1(1(0(0(1(0(0(1(0(1(0(1(1(1(1(0(1(0(1(0(1(1(0(0(0(0(1(1(1(0(1(0(0(0(0(0(0(1(x1)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) 0(0(1(0(1(0(1(1(0(0(0(0(1(1(1(1(0(1(1(1(0(1(1(1(1(0(0(0(0(0(0(0(1(1(1(1(1(0(1(1(0(1(0(1(1(0(1(1(0(1(1(0(0(1(0(0(1(0(1(1(1(1(1(0(1(0(1(0(0(1(0(1(1(1(1(1(1(1(1(0(1(x1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> 0(0(1(1(0(0(1(1(0(1(1(0(0(0(0(0(1(0(0(1(0(1(0(1(1(1(0(1(0(0(1(0(0(1(0(0(0(0(0(1(1(0(0(0(0(0(0(0(0(1(1(0(1(0(1(0(1(1(1(1(1(0(1(0(0(1(0(0(1(0(0(1(1(0(0(1(1(0(0(0(1(1(0(x1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) 0(0(1(0(1(0(1(1(0(0(0(0(1(1(1(1(0(1(1(1(0(1(1(1(1(0(0(0(0(0(0(0(1(1(1(1(1(0(1(1(0(1(0(1(1(0(1(1(0(1(1(0(0(1(0(0(1(0(1(1(1(1(1(0(1(1(0(0(0(1(1(0(1(1(1(1(0(1(1(1(1(x1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> 0(0(1(1(0(0(1(1(0(1(1(0(0(0(0(0(1(0(0(1(0(1(0(1(1(1(0(1(0(0(1(0(0(1(0(0(0(0(0(1(1(0(0(0(0(0(0(0(0(1(1(0(1(0(1(0(1(1(1(1(1(0(1(0(0(1(1(1(1(1(0(1(0(0(1(0(1(0(1(0(0(1(x1)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) 0(0(1(0(1(0(1(1(0(0(0(0(1(1(1(1(0(1(1(1(0(1(1(1(1(0(0(0(0(0(0(0(1(1(1(1(1(0(1(1(0(1(0(1(1(0(1(1(0(1(1(0(0(1(0(0(1(0(1(1(1(1(1(0(1(1(0(0(0(1(1(0(1(1(1(1(0(1(1(1(1(x1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> 0(0(1(1(0(0(1(1(0(1(1(0(0(0(0(0(1(0(0(1(0(1(0(1(1(1(0(1(0(0(1(0(0(1(0(0(0(0(0(1(1(0(0(0(0(0(0(0(0(1(1(0(1(0(1(0(1(1(1(1(1(0(1(0(0(1(1(1(1(1(0(1(1(0(0(0(1(0(1(0(1(1(0(x1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) 0(0(1(0(1(0(1(1(0(0(0(0(1(1(1(1(0(1(1(1(0(1(1(1(1(0(0(0(0(0(0(0(1(1(1(1(1(0(1(1(0(1(0(1(1(0(1(1(0(1(1(0(0(1(0(0(1(0(1(1(1(1(1(0(1(1(0(0(0(1(1(0(1(1(1(1(0(1(1(1(1(x1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> 0(0(1(1(0(0(1(1(0(1(1(0(0(0(0(0(1(0(0(1(0(1(0(1(1(1(0(1(0(0(1(0(0(1(0(1(0(0(1(0(0(1(1(0(1(0(1(0(1(1(1(0(1(0(1(0(0(0(1(0(1(0(0(0(0(1(0(1(1(0(1(1(1(1(1(0(0(1(0(1(1(1(0(x1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) 0(0(1(1(0(0(1(1(0(1(1(0(0(0(0(0(1(0(0(1(0(1(0(1(1(0(1(0(0(1(0(0(0(0(1(1(0(1(0(1(0(1(0(0(1(1(0(0(1(0(0(1(0(1(0(1(1(1(1(0(1(0(1(0(1(1(0(0(0(0(1(1(1(0(0(1(0(1(0(1(1(x1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> 0(0(1(1(0(0(1(1(0(1(1(0(0(0(0(0(1(0(0(1(0(1(0(1(1(1(0(1(0(0(1(0(0(1(0(0(0(0(0(1(1(0(0(0(0(0(0(0(0(1(1(0(1(0(1(0(1(0(0(0(0(0(0(1(1(0(1(0(1(0(1(0(1(1(1(0(0(1(1(1(1(1(x1)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) 0(0(1(1(0(0(1(1(0(1(1(0(0(0(0(0(1(0(0(1(0(1(0(1(1(0(1(0(0(1(0(0(0(0(1(1(0(1(0(1(0(1(0(0(1(1(0(0(1(0(0(1(0(1(0(1(1(1(1(0(1(0(1(0(1(1(0(1(0(1(1(0(1(1(0(0(1(1(0(0(0(x1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> 0(0(1(1(1(1(1(0(1(1(1(1(0(1(0(1(1(0(1(0(0(1(1(1(1(0(0(0(1(0(0(1(1(1(1(0(0(1(1(0(1(0(1(1(1(0(0(0(1(0(0(1(1(1(0(0(0(0(1(1(0(0(0(1(0(0(1(0(0(0(0(0(1(1(0(0(0(0(1(0(1(1(0(x1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) 0(0(1(1(0(0(1(1(0(1(1(0(0(0(0(0(1(0(0(1(0(1(0(1(1(0(1(0(0(1(0(0(0(0(1(1(0(1(0(1(0(1(0(0(1(1(0(0(1(0(0(1(0(1(0(1(1(1(1(0(1(0(1(0(1(1(0(1(0(1(1(0(1(1(0(0(1(1(0(0(0(x1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> 0(0(1(1(0(0(1(1(0(1(1(0(0(0(0(0(1(0(0(1(0(1(0(1(1(0(1(0(0(1(0(0(0(0(1(1(0(1(0(1(0(1(0(0(1(1(0(0(1(0(0(1(0(1(0(1(1(1(1(0(1(0(1(0(1(1(0(0(0(0(1(1(1(0(1(0(0(0(0(0(0(1(0(0(x1)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) 0(0(1(1(0(0(1(1(0(1(1(0(0(0(0(0(1(0(0(1(0(1(0(1(1(1(0(1(0(0(1(0(0(0(1(0(0(0(1(0(0(0(0(1(0(1(1(0(1(0(1(1(1(0(1(1(0(0(1(0(0(1(0(1(1(0(1(0(1(0(0(1(0(1(1(0(1(0(1(0(0(x1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> 0(0(1(1(0(0(1(1(0(1(1(0(0(0(0(0(1(0(0(1(0(1(0(1(1(1(0(1(0(0(1(0(0(1(0(0(0(0(0(1(1(0(0(0(0(0(0(0(0(1(1(0(1(0(1(0(1(0(0(0(0(0(0(1(1(0(1(0(1(0(1(0(1(1(1(0(0(1(1(1(1(1(x1)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) 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1(1(0(0(0(1(1(1(0(0(1(1(0(1(0(0(0(0(0(0(1(1(0(1(0(1(0(0(0(0(1(1(1(1(0(1(1(1(0(0(0(1(1(0(1(0(0(0(0(0(1(1(0(1(1(0(1(1(1(0(0(0(0(0(1(1(1(0(0(1(1(0(0(0(1(1(0(1(0(1(1(1(x1)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) 1(1(0(0(1(0(1(0(0(1(1(1(0(0(0(1(1(0(1(1(1(1(1(1(0(0(1(1(1(0(0(0(0(0(1(1(0(1(1(1(0(0(0(1(1(1(1(1(1(1(1(0(0(0(1(1(1(1(0(0(0(0(1(1(0(1(1(0(0(0(1(1(1(0(0(1(1(1(1(1(0(x1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> 0(0(1(1(1(1(1(0(1(1(1(1(0(1(0(1(1(0(1(0(0(1(1(1(1(0(0(0(1(0(0(1(1(1(1(0(0(1(1(0(1(0(1(1(1(0(0(0(1(0(0(1(1(1(0(0(0(0(1(1(0(0(0(1(0(0(1(0(0(0(0(0(1(1(1(0(0(0(0(0(0(1(x1)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) 1(1(0(0(1(0(1(0(0(1(1(1(0(0(0(1(1(0(1(1(1(1(1(1(0(0(1(1(1(0(0(0(0(0(1(1(0(1(1(1(0(0(0(1(1(1(1(1(1(1(1(0(0(0(1(1(1(1(0(0(0(0(1(1(0(1(1(0(0(0(1(1(1(0(0(1(1(1(1(1(1(x1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> 0(0(1(1(0(0(1(1(0(1(1(0(0(0(0(0(1(0(0(1(0(1(0(1(1(1(0(1(0(0(1(0(0(1(0(0(0(0(0(1(1(0(0(0(0(0(0(0(0(1(1(0(1(0(1(0(1(1(1(1(1(0(1(0(0(1(1(1(1(1(0(1(1(1(1(0(1(1(1(1(1(1(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: INNERMOST ---------------------------------------- (15) NonCtorToCtorProof (UPPER BOUND(ID)) transformed non-ctor to ctor-system ---------------------------------------- (16) Obligation: The Runtime Complexity (innermost) of the given CpxRelTRS could be proven to be BOUNDS(1, INF). The TRS R consists of the following rules: 0(c_0(c_1(c_1(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_1(c_0(c_0(c_1(c_1(c_1(c_1(c_0(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_1(c_0(c_1(c_1(c_0(c_0(c_0(c_1(c_1(c_1(c_0(c_1(c_0(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_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_1(c_0(x1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> 0(0(1(1(1(1(1(0(1(1(1(1(0(1(0(1(1(0(1(0(0(1(1(1(1(0(0(0(1(0(0(1(1(1(1(0(0(1(1(0(1(0(1(1(1(0(0(0(1(0(0(1(1(1(0(0(0(0(1(1(0(0(0(1(0(0(1(0(0(0(0(0(1(1(0(0(0(0(1(0(1(1(0(x1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) 0(c_0(c_1(c_1(c_0(c_0(c_1(c_1(c_0(c_1(c_1(c_0(c_0(c_0(c_0(c_0(c_1(c_0(c_0(c_1(c_0(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_1(c_0(c_0(c_0(c_0(c_0(c_1(c_1(c_0(c_0(c_0(c_0(c_0(c_0(c_0(c_0(c_1(c_1(c_0(c_1(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_1(c_1(c_1(c_1(c_1(c_0(c_1(c_0(c_0(c_1(c_0(c_1(c_0(c_1(c_0(c_0(x1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> 0(0(1(1(0(0(1(1(0(1(1(0(0(0(0(0(1(0(0(1(0(1(0(1(1(1(0(1(0(0(1(0(0(1(0(0(0(0(0(1(1(0(0(0(0(0(0(0(0(1(1(0(1(0(1(0(1(1(1(1(1(0(1(0(0(1(0(0(1(0(0(1(1(0(0(1(1(0(0(0(1(1(0(x1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) 0(c_0(c_1(c_1(c_0(c_0(c_1(c_1(c_0(c_1(c_1(c_0(c_0(c_0(c_0(c_0(c_1(c_0(c_0(c_1(c_0(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_1(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_1(c_0(c_1(c_1(c_1(c_0(c_1(c_0(c_1(c_0(c_0(c_0(c_1(c_0(c_1(c_0(c_0(c_0(c_0(c_1(c_0(c_1(c_1(c_0(c_1(c_1(c_1(c_1(c_1(c_1(c_0(c_0(c_0(c_1(c_0(x1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> 0(0(1(1(0(0(1(1(0(1(1(0(0(0(0(0(1(0(0(1(0(1(0(1(1(1(0(1(0(0(1(0(0(1(0(0(0(0(0(1(1(0(0(0(0(0(0(0(0(1(1(0(1(0(1(0(1(1(1(1(1(0(1(0(0(1(1(1(1(1(0(1(1(1(1(0(1(1(0(1(0(1(x1)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) 1(c_1(c_0(c_0(c_1(c_0(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_1(c_1(c_1(c_1(c_1(c_1(c_0(c_0(c_1(c_1(c_1(c_0(c_0(c_0(c_0(c_0(c_1(c_1(c_0(c_1(c_1(c_1(c_0(c_0(c_0(c_1(c_1(c_1(c_1(c_1(c_1(c_1(c_1(c_0(c_0(c_0(c_1(c_1(c_1(c_1(c_0(c_0(c_0(c_0(c_1(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_1(x1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> 1(1(0(0(0(1(1(1(0(0(1(1(0(1(0(0(0(0(0(0(1(1(0(1(0(1(0(0(0(0(1(1(1(1(0(1(1(1(0(0(0(1(1(0(1(0(0(0(0(0(1(1(0(1(1(0(1(1(1(0(0(0(0(0(1(1(1(0(0(1(1(0(0(0(1(1(0(1(0(1(1(1(x1)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) 0(c_0(c_1(c_1(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_1(c_0(c_0(c_1(c_1(c_1(c_1(c_0(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_1(c_0(c_1(c_1(c_0(c_0(c_0(c_1(c_1(c_1(c_0(c_1(c_0(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_0(c_0(c_1(c_0(c_1(c_1(c_0(c_1(c_0(c_0(c_0(c_1(c_1(c_1(c_0(c_0(x1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> 0(0(1(1(1(1(1(0(1(1(1(1(0(1(0(1(1(0(1(0(0(1(1(1(1(0(0(0(1(0(0(1(1(1(1(0(0(1(1(0(1(0(1(1(1(0(0(0(1(0(0(1(1(1(0(0(0(0(1(1(0(0(0(1(0(0(1(0(0(0(0(0(1(1(0(0(0(0(1(0(1(1(x1)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) 0(c_0(c_1(c_1(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_1(c_0(c_0(c_1(c_1(c_1(c_1(c_0(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_1(c_0(c_1(c_1(c_0(c_0(c_0(c_1(c_1(c_1(c_0(c_1(c_0(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_0(c_0(c_1(c_0(c_1(c_1(c_0(c_1(c_0(c_0(c_1(c_1(c_0(c_1(c_0(c_0(x1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> 0(0(1(1(0(0(1(1(0(1(1(0(0(0(0(0(1(0(0(1(0(1(0(1(1(1(0(1(0(0(1(0(0(1(0(1(0(0(1(0(0(1(1(0(1(0(1(0(1(1(1(0(1(0(1(0(0(0(1(0(1(0(0(0(0(1(0(1(1(0(1(1(1(1(1(0(0(1(0(1(0(1(x1)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) 0(c_0(c_1(c_1(c_0(c_0(c_1(c_1(c_0(c_1(c_1(c_0(c_0(c_0(c_0(c_0(c_1(c_0(c_0(c_1(c_0(c_1(c_0(c_1(c_1(c_0(c_1(c_0(c_0(c_1(c_0(c_0(c_0(c_0(c_1(c_1(c_0(c_1(c_0(c_1(c_0(c_1(c_0(c_0(c_1(c_1(c_0(c_0(c_1(c_0(c_0(c_1(c_0(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_0(c_1(c_0(c_1(c_1(c_0(c_1(c_1(c_0(c_0(c_1(c_1(c_0(c_0(c_0(x1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> 0(0(1(1(0(0(1(1(0(1(1(0(0(0(0(0(1(0(0(1(0(1(0(1(1(0(1(0(0(1(0(0(0(0(1(1(0(1(0(1(0(1(0(0(1(1(0(0(1(0(0(1(0(1(0(1(1(1(1(0(1(0(1(0(1(1(0(0(0(0(1(1(1(0(1(0(0(0(0(0(0(1(0(0(x1)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) 1(c_0(c_0(c_1(c_1(c_0(c_1(c_1(c_0(c_0(c_0(c_0(c_0(c_1(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_0(c_0(c_1(c_0(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_1(c_1(c_0(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_1(c_1(c_1(c_0(c_1(c_1(c_0(c_1(c_0(c_1(c_0(c_0(c_0(c_0(c_0(c_0(c_1(c_0(c_0(c_1(c_0(c_1(c_0(c_1(x1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> 0(0(1(1(0(0(1(1(0(1(1(0(0(0(0(0(1(0(0(1(0(1(0(1(1(1(0(1(0(0(1(0(0(1(0(0(0(0(0(1(1(0(0(0(0(0(0(0(0(1(1(0(1(0(1(0(1(0(0(0(0(0(0(1(1(0(1(0(1(0(1(0(1(1(1(0(0(1(1(0(1(1(x1)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) 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0(c_0(c_1(c_1(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_1(c_0(c_0(c_1(c_1(c_1(c_1(c_0(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_1(c_0(c_1(c_1(c_0(c_0(c_0(c_1(c_1(c_1(c_0(c_1(c_0(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_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_0(x1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> 0(0(1(1(0(0(1(1(0(1(1(0(0(0(0(0(1(0(0(1(0(1(0(1(1(1(0(1(0(0(1(0(0(1(0(1(0(0(1(0(0(1(1(0(1(0(1(0(1(1(1(0(1(0(1(0(0(0(1(0(1(0(0(0(0(1(0(1(1(0(1(1(1(1(1(0(0(1(0(0(0(1(0(0(x1)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) 0(c_0(c_1(c_0(c_1(c_0(c_1(c_1(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_0(c_1(c_1(c_1(c_1(c_0(c_0(c_0(c_0(c_0(c_0(c_0(c_1(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(c_1(c_1(c_0(c_1(c_1(c_0(c_0(c_1(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_1(c_0(c_0(c_1(c_0(c_1(c_1(c_1(c_1(c_1(c_1(c_1(c_1(c_0(c_1(x1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> 0(0(1(1(0(0(1(1(0(1(1(0(0(0(0(0(1(0(0(1(0(1(0(1(1(1(0(1(0(0(1(0(0(1(0(0(0(0(0(1(1(0(0(0(0(0(0(0(0(1(1(0(1(0(1(0(1(1(1(1(1(0(1(0(0(1(0(0(1(0(0(1(1(0(0(1(1(0(0(0(1(1(0(x1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) 0(c_0(c_1(c_0(c_1(c_0(c_1(c_1(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_0(c_1(c_1(c_1(c_1(c_0(c_0(c_0(c_0(c_0(c_0(c_0(c_1(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(c_1(c_1(c_0(c_1(c_1(c_0(c_0(c_1(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_1(c_0(c_0(c_1(c_0(c_1(c_1(c_1(c_1(c_1(c_1(c_1(c_1(c_0(c_1(x1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> 0(0(1(1(0(0(1(1(0(1(1(0(0(0(0(0(1(0(0(1(0(1(0(1(1(0(1(0(0(1(0(0(0(0(1(1(0(1(0(1(0(1(0(0(1(1(0(0(1(0(0(1(0(1(0(1(1(1(1(0(1(0(1(0(1(1(0(0(0(0(1(1(1(0(1(0(0(0(0(0(0(1(x1)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) 0(c_0(c_1(c_1(c_0(c_0(c_1(c_1(c_0(c_1(c_1(c_0(c_0(c_0(c_0(c_0(c_1(c_0(c_0(c_1(c_0(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_1(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_1(c_0(c_1(c_1(c_1(c_0(c_1(c_0(c_1(c_0(c_0(c_0(c_1(c_0(c_1(c_0(c_0(c_0(c_0(c_1(c_0(c_1(c_1(c_0(c_1(c_1(c_1(c_1(c_1(c_1(c_0(c_0(c_1(c_0(c_1(x1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> 0(0(1(1(0(0(1(1(0(1(1(0(0(0(0(0(1(0(0(1(0(1(0(1(1(1(0(1(0(0(1(0(0(1(0(0(0(0(0(1(1(0(0(0(0(0(0(0(0(1(1(0(1(0(1(0(1(1(1(1(1(0(1(0(0(1(1(1(1(1(0(1(1(1(1(0(1(1(1(1(1(1(x1)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) 0(c_0(c_1(c_1(c_0(c_0(c_1(c_1(c_0(c_1(c_1(c_0(c_0(c_0(c_0(c_0(c_1(c_0(c_0(c_1(c_0(c_1(c_0(c_1(c_1(c_0(c_1(c_0(c_0(c_1(c_0(c_0(c_0(c_0(c_1(c_1(c_0(c_1(c_0(c_1(c_0(c_1(c_0(c_0(c_1(c_1(c_0(c_0(c_1(c_0(c_0(c_1(c_0(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_0(c_0(c_0(c_0(c_1(c_1(c_1(c_0(c_0(c_1(c_0(c_1(c_0(c_1(c_1(x1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> 0(0(1(1(0(0(1(1(0(1(1(0(0(0(0(0(1(0(0(1(0(1(0(1(1(1(0(1(0(0(1(0(0(1(0(0(0(0(0(1(1(0(0(0(0(0(0(0(0(1(1(0(1(0(1(0(1(0(0(0(0(0(0(1(1(0(1(0(1(0(1(0(1(1(1(0(0(1(1(1(1(1(x1)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) 0(c_0(c_1(c_1(c_0(c_0(c_1(c_1(c_0(c_1(c_1(c_0(c_0(c_0(c_0(c_0(c_1(c_0(c_0(c_1(c_0(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_0(c_0(c_0(c_1(c_0(c_0(c_0(c_0(c_1(c_0(c_1(c_1(c_0(c_1(c_0(c_1(c_1(c_1(c_0(c_1(c_1(c_0(c_0(c_1(c_0(c_0(c_1(c_0(c_1(c_1(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(c_0(c_0(x1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> 0(0(1(1(0(0(1(1(0(1(1(0(0(0(0(0(1(0(0(1(0(1(0(1(1(1(0(1(0(0(1(0(0(1(0(0(0(0(0(1(1(0(0(0(0(0(0(0(0(1(1(0(1(0(1(0(1(0(0(0(0(0(0(1(1(0(1(0(1(0(1(0(1(1(1(0(0(1(1(1(1(1(x1)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) 0(c_0(c_1(c_1(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_1(c_0(c_0(c_1(c_1(c_1(c_1(c_0(c_1(c_0(c_0(c_0(c_1(c_0(c_1(c_1(c_1(c_1(c_0(c_0(c_0(c_1(c_1(c_0(c_1(c_1(c_1(c_0(c_1(c_0(c_0(c_0(c_0(c_1(c_0(c_1(c_1(c_0(c_0(c_0(c_1(c_0(c_0(c_1(c_0(c_1(c_0(c_1(c_0(c_1(c_0(c_0(c_1(c_1(c_1(c_0(c_1(c_0(c_1(c_1(c_1(c_1(c_1(x1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> 0(0(1(1(0(0(1(1(0(1(1(0(0(0(0(0(1(0(0(1(0(1(0(1(1(1(0(1(0(0(1(0(0(1(0(1(0(0(1(0(0(1(1(0(1(0(1(0(1(1(1(0(1(0(1(0(0(0(1(0(1(0(0(0(0(1(0(1(1(0(1(1(1(1(1(0(0(1(0(0(1(1(x1)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) 0(c_0(c_1(c_1(c_0(c_0(c_1(c_1(c_0(c_1(c_1(c_0(c_0(c_0(c_0(c_0(c_1(c_0(c_0(c_1(c_0(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_1(c_0(c_0(c_0(c_0(c_0(c_1(c_1(c_0(c_0(c_0(c_0(c_0(c_0(c_0(c_0(c_1(c_1(c_0(c_1(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_1(c_1(c_1(c_1(c_1(c_0(c_1(c_0(c_0(c_1(c_0(c_1(c_0(c_1(c_0(c_0(x1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> 0(0(1(1(0(0(1(1(0(1(1(0(0(0(0(0(1(0(0(1(0(1(0(1(1(1(0(1(0(0(1(0(0(1(0(0(0(0(0(1(1(0(0(0(0(0(0(0(0(1(1(0(1(0(1(0(1(0(0(0(0(0(0(1(1(0(1(0(1(0(1(0(1(1(1(0(0(1(1(1(1(1(x1)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) 1(c_0(c_0(c_1(c_1(c_0(c_1(c_1(c_0(c_0(c_0(c_0(c_0(c_1(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_0(c_0(c_1(c_0(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_1(c_1(c_0(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_1(c_1(c_1(c_1(c_0(c_1(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_1(c_1(c_0(c_1(c_1(x1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> 0(0(1(1(0(0(1(1(0(1(1(0(0(0(0(0(1(0(0(1(0(1(0(1(1(1(0(1(0(0(1(0(0(0(1(0(0(0(1(0(0(0(0(1(0(1(1(0(1(0(1(1(1(0(1(1(0(0(1(0(0(1(0(1(1(0(1(0(1(0(0(1(0(1(1(0(1(0(1(0(0(1(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)) 0(x0) -> c_0(x0) 1(x0) -> c_1(x0) Rewrite Strategy: INNERMOST ---------------------------------------- (17) RelTrsToWeightedTrsProof (BOTH BOUNDS(ID, ID)) Transformed relative TRS to weighted TRS ---------------------------------------- (18) Obligation: The Runtime Complexity (innermost) of the given CpxWeightedTrs could be proven to be BOUNDS(1, INF). The TRS R consists of the following rules: 0(c_0(c_1(c_1(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_1(c_0(c_0(c_1(c_1(c_1(c_1(c_0(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_1(c_0(c_1(c_1(c_0(c_0(c_0(c_1(c_1(c_1(c_0(c_1(c_0(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_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_1(c_0(x1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> 0(0(1(1(1(1(1(0(1(1(1(1(0(1(0(1(1(0(1(0(0(1(1(1(1(0(0(0(1(0(0(1(1(1(1(0(0(1(1(0(1(0(1(1(1(0(0(0(1(0(0(1(1(1(0(0(0(0(1(1(0(0(0(1(0(0(1(0(0(0(0(0(1(1(0(0(0(0(1(0(1(1(0(x1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) [1] 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0(c_0(c_1(c_1(c_0(c_0(c_1(c_1(c_0(c_1(c_1(c_0(c_0(c_0(c_0(c_0(c_1(c_0(c_0(c_1(c_0(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_1(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_1(c_0(c_1(c_1(c_1(c_0(c_1(c_0(c_1(c_0(c_0(c_0(c_1(c_0(c_1(c_0(c_0(c_0(c_0(c_1(c_0(c_1(c_1(c_0(c_1(c_1(c_1(c_1(c_1(c_1(c_0(c_0(c_0(c_1(c_0(x1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> 0(0(1(1(0(0(1(1(0(1(1(0(0(0(0(0(1(0(0(1(0(1(0(1(1(1(0(1(0(0(1(0(0(1(0(0(0(0(0(1(1(0(0(0(0(0(0(0(0(1(1(0(1(0(1(0(1(1(1(1(1(0(1(0(0(1(1(1(1(1(0(1(1(1(1(0(1(1(0(1(0(1(x1)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) [1] 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0(c_0(c_1(c_1(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_1(c_0(c_0(c_1(c_1(c_1(c_1(c_0(c_1(c_0(c_0(c_0(c_1(c_0(c_1(c_1(c_1(c_1(c_0(c_0(c_0(c_1(c_1(c_0(c_1(c_1(c_1(c_0(c_1(c_0(c_0(c_0(c_0(c_1(c_0(c_1(c_1(c_0(c_0(c_0(c_1(c_0(c_0(c_1(c_0(c_1(c_0(c_1(c_0(c_1(c_0(c_0(c_1(c_1(c_1(c_0(c_1(c_0(c_1(c_1(c_1(c_1(c_1(x1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> 0(0(1(1(0(0(1(1(0(1(1(0(0(0(0(0(1(0(0(1(0(1(0(1(1(1(0(1(0(0(1(0(0(1(0(1(0(0(1(0(0(1(1(0(1(0(1(0(1(1(1(0(1(0(1(0(0(0(1(0(1(0(0(0(0(1(0(1(1(0(1(1(1(1(1(0(0(1(0(0(1(1(x1)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) [1] 0(c_0(c_1(c_1(c_0(c_0(c_1(c_1(c_0(c_1(c_1(c_0(c_0(c_0(c_0(c_0(c_1(c_0(c_0(c_1(c_0(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_1(c_0(c_0(c_0(c_0(c_0(c_1(c_1(c_0(c_0(c_0(c_0(c_0(c_0(c_0(c_0(c_1(c_1(c_0(c_1(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_1(c_1(c_1(c_1(c_1(c_0(c_1(c_0(c_0(c_1(c_0(c_1(c_0(c_1(c_0(c_0(x1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> 0(0(1(1(0(0(1(1(0(1(1(0(0(0(0(0(1(0(0(1(0(1(0(1(1(1(0(1(0(0(1(0(0(1(0(0(0(0(0(1(1(0(0(0(0(0(0(0(0(1(1(0(1(0(1(0(1(0(0(0(0(0(0(1(1(0(1(0(1(0(1(0(1(1(1(0(0(1(1(1(1(1(x1)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) [1] 1(c_0(c_0(c_1(c_1(c_0(c_1(c_1(c_0(c_0(c_0(c_0(c_0(c_1(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_0(c_0(c_1(c_0(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_1(c_1(c_0(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_1(c_1(c_1(c_1(c_0(c_1(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_1(c_1(c_0(c_1(c_1(x1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> 0(0(1(1(0(0(1(1(0(1(1(0(0(0(0(0(1(0(0(1(0(1(0(1(1(1(0(1(0(0(1(0(0(0(1(0(0(0(1(0(0(0(0(1(0(1(1(0(1(0(1(1(1(0(1(1(0(0(1(0(0(1(0(1(1(0(1(0(1(0(0(1(0(1(1(0(1(0(1(0(0(1(0(0(0(0(0(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 ---------------------------------------- (19) CpxWeightedTrsRenamingProof (BOTH BOUNDS(ID, ID)) Renamed defined symbols to avoid conflicts with arithmetic symbols: 0 => 0' 1 => 1' ---------------------------------------- (20) Obligation: The Runtime Complexity (innermost) of the given CpxWeightedTrs could be proven to be BOUNDS(1, INF). The TRS R consists of the following rules: 0'(c_0(c_1(c_1(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_1(c_0(c_0(c_1(c_1(c_1(c_1(c_0(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_1(c_0(c_1(c_1(c_0(c_0(c_0(c_1(c_1(c_1(c_0(c_1(c_0(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_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_1(c_0(x1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> 0'(0'(1'(1'(1'(1'(1'(0'(1'(1'(1'(1'(0'(1'(0'(1'(1'(0'(1'(0'(0'(1'(1'(1'(1'(0'(0'(0'(1'(0'(0'(1'(1'(1'(1'(0'(0'(1'(1'(0'(1'(0'(1'(1'(1'(0'(0'(0'(1'(0'(0'(1'(1'(1'(0'(0'(0'(0'(1'(1'(0'(0'(0'(1'(0'(0'(1'(0'(0'(0'(0'(0'(1'(1'(0'(0'(0'(0'(1'(0'(1'(1'(0'(x1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) [1] 0'(c_0(c_1(c_1(c_0(c_0(c_1(c_1(c_0(c_1(c_1(c_0(c_0(c_0(c_0(c_0(c_1(c_0(c_0(c_1(c_0(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_1(c_0(c_0(c_0(c_0(c_0(c_1(c_1(c_0(c_0(c_0(c_0(c_0(c_0(c_0(c_0(c_1(c_1(c_0(c_1(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_1(c_1(c_1(c_1(c_1(c_0(c_1(c_0(c_0(c_1(c_0(c_1(c_0(c_1(c_0(c_0(x1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> 0'(0'(1'(1'(0'(0'(1'(1'(0'(1'(1'(0'(0'(0'(0'(0'(1'(0'(0'(1'(0'(1'(0'(1'(1'(1'(0'(1'(0'(0'(1'(0'(0'(1'(0'(0'(0'(0'(0'(1'(1'(0'(0'(0'(0'(0'(0'(0'(0'(1'(1'(0'(1'(0'(1'(0'(1'(1'(1'(1'(1'(0'(1'(0'(0'(1'(0'(0'(1'(0'(0'(1'(1'(0'(0'(1'(1'(0'(0'(0'(1'(1'(0'(x1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) [1] 0'(c_0(c_1(c_1(c_0(c_0(c_1(c_1(c_0(c_1(c_1(c_0(c_0(c_0(c_0(c_0(c_1(c_0(c_0(c_1(c_0(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_1(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_1(c_0(c_1(c_1(c_1(c_0(c_1(c_0(c_1(c_0(c_0(c_0(c_1(c_0(c_1(c_0(c_0(c_0(c_0(c_1(c_0(c_1(c_1(c_0(c_1(c_1(c_1(c_1(c_1(c_1(c_0(c_0(c_0(c_1(c_0(x1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> 0'(0'(1'(1'(0'(0'(1'(1'(0'(1'(1'(0'(0'(0'(0'(0'(1'(0'(0'(1'(0'(1'(0'(1'(1'(1'(0'(1'(0'(0'(1'(0'(0'(1'(0'(0'(0'(0'(0'(1'(1'(0'(0'(0'(0'(0'(0'(0'(0'(1'(1'(0'(1'(0'(1'(0'(1'(1'(1'(1'(1'(0'(1'(0'(0'(1'(1'(1'(1'(1'(0'(1'(1'(1'(1'(0'(1'(1'(0'(1'(0'(1'(x1)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) [1] 1'(c_1(c_0(c_0(c_1(c_0(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_1(c_1(c_1(c_1(c_1(c_1(c_0(c_0(c_1(c_1(c_1(c_0(c_0(c_0(c_0(c_0(c_1(c_1(c_0(c_1(c_1(c_1(c_0(c_0(c_0(c_1(c_1(c_1(c_1(c_1(c_1(c_1(c_1(c_0(c_0(c_0(c_1(c_1(c_1(c_1(c_0(c_0(c_0(c_0(c_1(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_1(x1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> 1'(1'(0'(0'(0'(1'(1'(1'(0'(0'(1'(1'(0'(1'(0'(0'(0'(0'(0'(0'(1'(1'(0'(1'(0'(1'(0'(0'(0'(0'(1'(1'(1'(1'(0'(1'(1'(1'(0'(0'(0'(1'(1'(0'(1'(0'(0'(0'(0'(0'(1'(1'(0'(1'(1'(0'(1'(1'(1'(0'(0'(0'(0'(0'(1'(1'(1'(0'(0'(1'(1'(0'(0'(0'(1'(1'(0'(1'(0'(1'(1'(1'(x1)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) [1] 0'(c_0(c_1(c_1(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_1(c_0(c_0(c_1(c_1(c_1(c_1(c_0(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_1(c_0(c_1(c_1(c_0(c_0(c_0(c_1(c_1(c_1(c_0(c_1(c_0(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_0(c_0(c_1(c_0(c_1(c_1(c_0(c_1(c_0(c_0(c_0(c_1(c_1(c_1(c_0(c_0(x1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> 0'(0'(1'(1'(1'(1'(1'(0'(1'(1'(1'(1'(0'(1'(0'(1'(1'(0'(1'(0'(0'(1'(1'(1'(1'(0'(0'(0'(1'(0'(0'(1'(1'(1'(1'(0'(0'(1'(1'(0'(1'(0'(1'(1'(1'(0'(0'(0'(1'(0'(0'(1'(1'(1'(0'(0'(0'(0'(1'(1'(0'(0'(0'(1'(0'(0'(1'(0'(0'(0'(0'(0'(1'(1'(0'(0'(0'(0'(1'(0'(1'(1'(x1)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) [1] 0'(c_0(c_1(c_1(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_1(c_0(c_0(c_1(c_1(c_1(c_1(c_0(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_1(c_0(c_1(c_1(c_0(c_0(c_0(c_1(c_1(c_1(c_0(c_1(c_0(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_0(c_0(c_1(c_0(c_1(c_1(c_0(c_1(c_0(c_0(c_1(c_1(c_0(c_1(c_0(c_0(x1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> 0'(0'(1'(1'(0'(0'(1'(1'(0'(1'(1'(0'(0'(0'(0'(0'(1'(0'(0'(1'(0'(1'(0'(1'(1'(1'(0'(1'(0'(0'(1'(0'(0'(1'(0'(1'(0'(0'(1'(0'(0'(1'(1'(0'(1'(0'(1'(0'(1'(1'(1'(0'(1'(0'(1'(0'(0'(0'(1'(0'(1'(0'(0'(0'(0'(1'(0'(1'(1'(0'(1'(1'(1'(1'(1'(0'(0'(1'(0'(1'(0'(1'(x1)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) [1] 0'(c_0(c_1(c_1(c_0(c_0(c_1(c_1(c_0(c_1(c_1(c_0(c_0(c_0(c_0(c_0(c_1(c_0(c_0(c_1(c_0(c_1(c_0(c_1(c_1(c_0(c_1(c_0(c_0(c_1(c_0(c_0(c_0(c_0(c_1(c_1(c_0(c_1(c_0(c_1(c_0(c_1(c_0(c_0(c_1(c_1(c_0(c_0(c_1(c_0(c_0(c_1(c_0(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_0(c_1(c_0(c_1(c_1(c_0(c_1(c_1(c_0(c_0(c_1(c_1(c_0(c_0(c_0(x1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> 0'(0'(1'(1'(0'(0'(1'(1'(0'(1'(1'(0'(0'(0'(0'(0'(1'(0'(0'(1'(0'(1'(0'(1'(1'(0'(1'(0'(0'(1'(0'(0'(0'(0'(1'(1'(0'(1'(0'(1'(0'(1'(0'(0'(1'(1'(0'(0'(1'(0'(0'(1'(0'(1'(0'(1'(1'(1'(1'(0'(1'(0'(1'(0'(1'(1'(0'(0'(0'(0'(1'(1'(1'(0'(1'(0'(0'(0'(0'(0'(0'(1'(0'(0'(x1)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) [1] 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0'(c_0(c_1(c_1(c_0(c_0(c_1(c_1(c_0(c_1(c_1(c_0(c_0(c_0(c_0(c_0(c_1(c_0(c_0(c_1(c_0(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_1(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_1(c_0(c_1(c_1(c_1(c_0(c_1(c_0(c_1(c_0(c_0(c_0(c_1(c_0(c_1(c_0(c_0(c_0(c_0(c_1(c_0(c_1(c_1(c_0(c_1(c_1(c_1(c_1(c_1(c_0(c_0(c_1(c_0(c_1(c_0(x1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> 0'(0'(1'(1'(0'(0'(1'(1'(0'(1'(1'(0'(0'(0'(0'(0'(1'(0'(0'(1'(0'(1'(0'(1'(1'(1'(0'(1'(0'(0'(1'(0'(0'(1'(0'(0'(0'(0'(0'(1'(1'(0'(0'(0'(0'(0'(0'(0'(0'(1'(1'(0'(1'(0'(1'(0'(1'(0'(0'(0'(0'(0'(0'(1'(1'(0'(1'(0'(1'(0'(1'(0'(1'(1'(1'(0'(0'(1'(1'(1'(1'(1'(x1)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) [1] 0'(c_0(c_1(c_1(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_1(c_0(c_0(c_1(c_1(c_1(c_1(c_0(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_1(c_0(c_1(c_1(c_0(c_0(c_0(c_1(c_1(c_1(c_0(c_1(c_0(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_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_0(x1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> 0'(0'(1'(1'(0'(0'(1'(1'(0'(1'(1'(0'(0'(0'(0'(0'(1'(0'(0'(1'(0'(1'(0'(1'(1'(1'(0'(1'(0'(0'(1'(0'(0'(1'(0'(1'(0'(0'(1'(0'(0'(1'(1'(0'(1'(0'(1'(0'(1'(1'(1'(0'(1'(0'(1'(0'(0'(0'(1'(0'(1'(0'(0'(0'(0'(1'(0'(1'(1'(0'(1'(1'(1'(1'(1'(0'(0'(1'(0'(0'(0'(1'(0'(0'(x1)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) [1] 0'(c_0(c_1(c_0(c_1(c_0(c_1(c_1(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_0(c_1(c_1(c_1(c_1(c_0(c_0(c_0(c_0(c_0(c_0(c_0(c_1(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(c_1(c_1(c_0(c_1(c_1(c_0(c_0(c_1(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_1(c_0(c_0(c_1(c_0(c_1(c_1(c_1(c_1(c_1(c_1(c_1(c_1(c_0(c_1(x1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> 0'(0'(1'(1'(0'(0'(1'(1'(0'(1'(1'(0'(0'(0'(0'(0'(1'(0'(0'(1'(0'(1'(0'(1'(1'(1'(0'(1'(0'(0'(1'(0'(0'(1'(0'(0'(0'(0'(0'(1'(1'(0'(0'(0'(0'(0'(0'(0'(0'(1'(1'(0'(1'(0'(1'(0'(1'(1'(1'(1'(1'(0'(1'(0'(0'(1'(0'(0'(1'(0'(0'(1'(1'(0'(0'(1'(1'(0'(0'(0'(1'(1'(0'(x1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) [1] 0'(c_0(c_1(c_0(c_1(c_0(c_1(c_1(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_0(c_1(c_1(c_1(c_1(c_0(c_0(c_0(c_0(c_0(c_0(c_0(c_1(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(c_1(c_1(c_0(c_1(c_1(c_0(c_0(c_1(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_1(c_0(c_0(c_1(c_0(c_1(c_1(c_1(c_1(c_1(c_1(c_1(c_1(c_0(c_1(x1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> 0'(0'(1'(1'(0'(0'(1'(1'(0'(1'(1'(0'(0'(0'(0'(0'(1'(0'(0'(1'(0'(1'(0'(1'(1'(0'(1'(0'(0'(1'(0'(0'(0'(0'(1'(1'(0'(1'(0'(1'(0'(1'(0'(0'(1'(1'(0'(0'(1'(0'(0'(1'(0'(1'(0'(1'(1'(1'(1'(0'(1'(0'(1'(0'(1'(1'(0'(0'(0'(0'(1'(1'(1'(0'(1'(0'(0'(0'(0'(0'(0'(1'(x1)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) [1] 0'(c_0(c_1(c_1(c_0(c_0(c_1(c_1(c_0(c_1(c_1(c_0(c_0(c_0(c_0(c_0(c_1(c_0(c_0(c_1(c_0(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_1(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_1(c_0(c_1(c_1(c_1(c_0(c_1(c_0(c_1(c_0(c_0(c_0(c_1(c_0(c_1(c_0(c_0(c_0(c_0(c_1(c_0(c_1(c_1(c_0(c_1(c_1(c_1(c_1(c_1(c_1(c_0(c_0(c_1(c_0(c_1(x1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> 0'(0'(1'(1'(0'(0'(1'(1'(0'(1'(1'(0'(0'(0'(0'(0'(1'(0'(0'(1'(0'(1'(0'(1'(1'(1'(0'(1'(0'(0'(1'(0'(0'(1'(0'(0'(0'(0'(0'(1'(1'(0'(0'(0'(0'(0'(0'(0'(0'(1'(1'(0'(1'(0'(1'(0'(1'(1'(1'(1'(1'(0'(1'(0'(0'(1'(1'(1'(1'(1'(0'(1'(1'(1'(1'(0'(1'(1'(1'(1'(1'(1'(x1)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) [1] 0'(c_0(c_1(c_1(c_0(c_0(c_1(c_1(c_0(c_1(c_1(c_0(c_0(c_0(c_0(c_0(c_1(c_0(c_0(c_1(c_0(c_1(c_0(c_1(c_1(c_0(c_1(c_0(c_0(c_1(c_0(c_0(c_0(c_0(c_1(c_1(c_0(c_1(c_0(c_1(c_0(c_1(c_0(c_0(c_1(c_1(c_0(c_0(c_1(c_0(c_0(c_1(c_0(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_0(c_0(c_0(c_0(c_1(c_1(c_1(c_0(c_0(c_1(c_0(c_1(c_0(c_1(c_1(x1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> 0'(0'(1'(1'(0'(0'(1'(1'(0'(1'(1'(0'(0'(0'(0'(0'(1'(0'(0'(1'(0'(1'(0'(1'(1'(1'(0'(1'(0'(0'(1'(0'(0'(1'(0'(0'(0'(0'(0'(1'(1'(0'(0'(0'(0'(0'(0'(0'(0'(1'(1'(0'(1'(0'(1'(0'(1'(0'(0'(0'(0'(0'(0'(1'(1'(0'(1'(0'(1'(0'(1'(0'(1'(1'(1'(0'(0'(1'(1'(1'(1'(1'(x1)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) [1] 0'(c_0(c_1(c_1(c_0(c_0(c_1(c_1(c_0(c_1(c_1(c_0(c_0(c_0(c_0(c_0(c_1(c_0(c_0(c_1(c_0(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_0(c_0(c_0(c_1(c_0(c_0(c_0(c_0(c_1(c_0(c_1(c_1(c_0(c_1(c_0(c_1(c_1(c_1(c_0(c_1(c_1(c_0(c_0(c_1(c_0(c_0(c_1(c_0(c_1(c_1(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(c_0(c_0(x1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> 0'(0'(1'(1'(0'(0'(1'(1'(0'(1'(1'(0'(0'(0'(0'(0'(1'(0'(0'(1'(0'(1'(0'(1'(1'(1'(0'(1'(0'(0'(1'(0'(0'(1'(0'(0'(0'(0'(0'(1'(1'(0'(0'(0'(0'(0'(0'(0'(0'(1'(1'(0'(1'(0'(1'(0'(1'(0'(0'(0'(0'(0'(0'(1'(1'(0'(1'(0'(1'(0'(1'(0'(1'(1'(1'(0'(0'(1'(1'(1'(1'(1'(x1)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) [1] 0'(c_0(c_1(c_1(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_1(c_0(c_0(c_1(c_1(c_1(c_1(c_0(c_1(c_0(c_0(c_0(c_1(c_0(c_1(c_1(c_1(c_1(c_0(c_0(c_0(c_1(c_1(c_0(c_1(c_1(c_1(c_0(c_1(c_0(c_0(c_0(c_0(c_1(c_0(c_1(c_1(c_0(c_0(c_0(c_1(c_0(c_0(c_1(c_0(c_1(c_0(c_1(c_0(c_1(c_0(c_0(c_1(c_1(c_1(c_0(c_1(c_0(c_1(c_1(c_1(c_1(c_1(x1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> 0'(0'(1'(1'(0'(0'(1'(1'(0'(1'(1'(0'(0'(0'(0'(0'(1'(0'(0'(1'(0'(1'(0'(1'(1'(1'(0'(1'(0'(0'(1'(0'(0'(1'(0'(1'(0'(0'(1'(0'(0'(1'(1'(0'(1'(0'(1'(0'(1'(1'(1'(0'(1'(0'(1'(0'(0'(0'(1'(0'(1'(0'(0'(0'(0'(1'(0'(1'(1'(0'(1'(1'(1'(1'(1'(0'(0'(1'(0'(0'(1'(1'(x1)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) [1] 0'(c_0(c_1(c_1(c_0(c_0(c_1(c_1(c_0(c_1(c_1(c_0(c_0(c_0(c_0(c_0(c_1(c_0(c_0(c_1(c_0(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_1(c_0(c_0(c_0(c_0(c_0(c_1(c_1(c_0(c_0(c_0(c_0(c_0(c_0(c_0(c_0(c_1(c_1(c_0(c_1(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_1(c_1(c_1(c_1(c_1(c_0(c_1(c_0(c_0(c_1(c_0(c_1(c_0(c_1(c_0(c_0(x1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> 0'(0'(1'(1'(0'(0'(1'(1'(0'(1'(1'(0'(0'(0'(0'(0'(1'(0'(0'(1'(0'(1'(0'(1'(1'(1'(0'(1'(0'(0'(1'(0'(0'(1'(0'(0'(0'(0'(0'(1'(1'(0'(0'(0'(0'(0'(0'(0'(0'(1'(1'(0'(1'(0'(1'(0'(1'(0'(0'(0'(0'(0'(0'(1'(1'(0'(1'(0'(1'(0'(1'(0'(1'(1'(1'(0'(0'(1'(1'(1'(1'(1'(x1)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) [1] 1'(c_0(c_0(c_1(c_1(c_0(c_1(c_1(c_0(c_0(c_0(c_0(c_0(c_1(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_0(c_0(c_1(c_0(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_1(c_1(c_0(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_1(c_1(c_1(c_1(c_0(c_1(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_1(c_1(c_0(c_1(c_1(x1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> 0'(0'(1'(1'(0'(0'(1'(1'(0'(1'(1'(0'(0'(0'(0'(0'(1'(0'(0'(1'(0'(1'(0'(1'(1'(1'(0'(1'(0'(0'(1'(0'(0'(0'(1'(0'(0'(0'(1'(0'(0'(0'(0'(1'(0'(1'(1'(0'(1'(0'(1'(1'(1'(0'(1'(1'(0'(0'(1'(0'(0'(1'(0'(1'(1'(0'(1'(0'(1'(0'(0'(1'(0'(1'(1'(0'(1'(0'(1'(0'(0'(1'(0'(0'(0'(0'(0'(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) TypeInferenceProof (BOTH BOUNDS(ID, ID)) Infered types. ---------------------------------------- (22) Obligation: Runtime Complexity Weighted TRS with Types. The TRS R consists of the following rules: 0'(c_0(c_1(c_1(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_1(c_0(c_0(c_1(c_1(c_1(c_1(c_0(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_1(c_0(c_1(c_1(c_0(c_0(c_0(c_1(c_1(c_1(c_0(c_1(c_0(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_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_1(c_0(x1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> 0'(0'(1'(1'(1'(1'(1'(0'(1'(1'(1'(1'(0'(1'(0'(1'(1'(0'(1'(0'(0'(1'(1'(1'(1'(0'(0'(0'(1'(0'(0'(1'(1'(1'(1'(0'(0'(1'(1'(0'(1'(0'(1'(1'(1'(0'(0'(0'(1'(0'(0'(1'(1'(1'(0'(0'(0'(0'(1'(1'(0'(0'(0'(1'(0'(0'(1'(0'(0'(0'(0'(0'(1'(1'(0'(0'(0'(0'(1'(0'(1'(1'(0'(x1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) [1] 0'(c_0(c_1(c_1(c_0(c_0(c_1(c_1(c_0(c_1(c_1(c_0(c_0(c_0(c_0(c_0(c_1(c_0(c_0(c_1(c_0(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_1(c_0(c_0(c_0(c_0(c_0(c_1(c_1(c_0(c_0(c_0(c_0(c_0(c_0(c_0(c_0(c_1(c_1(c_0(c_1(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_1(c_1(c_1(c_1(c_1(c_0(c_1(c_0(c_0(c_1(c_0(c_1(c_0(c_1(c_0(c_0(x1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> 0'(0'(1'(1'(0'(0'(1'(1'(0'(1'(1'(0'(0'(0'(0'(0'(1'(0'(0'(1'(0'(1'(0'(1'(1'(1'(0'(1'(0'(0'(1'(0'(0'(1'(0'(0'(0'(0'(0'(1'(1'(0'(0'(0'(0'(0'(0'(0'(0'(1'(1'(0'(1'(0'(1'(0'(1'(1'(1'(1'(1'(0'(1'(0'(0'(1'(0'(0'(1'(0'(0'(1'(1'(0'(0'(1'(1'(0'(0'(0'(1'(1'(0'(x1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) [1] 0'(c_0(c_1(c_1(c_0(c_0(c_1(c_1(c_0(c_1(c_1(c_0(c_0(c_0(c_0(c_0(c_1(c_0(c_0(c_1(c_0(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_1(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_1(c_0(c_1(c_1(c_1(c_0(c_1(c_0(c_1(c_0(c_0(c_0(c_1(c_0(c_1(c_0(c_0(c_0(c_0(c_1(c_0(c_1(c_1(c_0(c_1(c_1(c_1(c_1(c_1(c_1(c_0(c_0(c_0(c_1(c_0(x1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> 0'(0'(1'(1'(0'(0'(1'(1'(0'(1'(1'(0'(0'(0'(0'(0'(1'(0'(0'(1'(0'(1'(0'(1'(1'(1'(0'(1'(0'(0'(1'(0'(0'(1'(0'(0'(0'(0'(0'(1'(1'(0'(0'(0'(0'(0'(0'(0'(0'(1'(1'(0'(1'(0'(1'(0'(1'(1'(1'(1'(1'(0'(1'(0'(0'(1'(1'(1'(1'(1'(0'(1'(1'(1'(1'(0'(1'(1'(0'(1'(0'(1'(x1)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) [1] 1'(c_1(c_0(c_0(c_1(c_0(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_1(c_1(c_1(c_1(c_1(c_1(c_0(c_0(c_1(c_1(c_1(c_0(c_0(c_0(c_0(c_0(c_1(c_1(c_0(c_1(c_1(c_1(c_0(c_0(c_0(c_1(c_1(c_1(c_1(c_1(c_1(c_1(c_1(c_0(c_0(c_0(c_1(c_1(c_1(c_1(c_0(c_0(c_0(c_0(c_1(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_1(x1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> 1'(1'(0'(0'(0'(1'(1'(1'(0'(0'(1'(1'(0'(1'(0'(0'(0'(0'(0'(0'(1'(1'(0'(1'(0'(1'(0'(0'(0'(0'(1'(1'(1'(1'(0'(1'(1'(1'(0'(0'(0'(1'(1'(0'(1'(0'(0'(0'(0'(0'(1'(1'(0'(1'(1'(0'(1'(1'(1'(0'(0'(0'(0'(0'(1'(1'(1'(0'(0'(1'(1'(0'(0'(0'(1'(1'(0'(1'(0'(1'(1'(1'(x1)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) [1] 0'(c_0(c_1(c_1(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_1(c_0(c_0(c_1(c_1(c_1(c_1(c_0(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_1(c_0(c_1(c_1(c_0(c_0(c_0(c_1(c_1(c_1(c_0(c_1(c_0(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_0(c_0(c_1(c_0(c_1(c_1(c_0(c_1(c_0(c_0(c_0(c_1(c_1(c_1(c_0(c_0(x1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> 0'(0'(1'(1'(1'(1'(1'(0'(1'(1'(1'(1'(0'(1'(0'(1'(1'(0'(1'(0'(0'(1'(1'(1'(1'(0'(0'(0'(1'(0'(0'(1'(1'(1'(1'(0'(0'(1'(1'(0'(1'(0'(1'(1'(1'(0'(0'(0'(1'(0'(0'(1'(1'(1'(0'(0'(0'(0'(1'(1'(0'(0'(0'(1'(0'(0'(1'(0'(0'(0'(0'(0'(1'(1'(0'(0'(0'(0'(1'(0'(1'(1'(x1)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) [1] 0'(c_0(c_1(c_1(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_1(c_0(c_0(c_1(c_1(c_1(c_1(c_0(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_1(c_0(c_1(c_1(c_0(c_0(c_0(c_1(c_1(c_1(c_0(c_1(c_0(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_0(c_0(c_1(c_0(c_1(c_1(c_0(c_1(c_0(c_0(c_1(c_1(c_0(c_1(c_0(c_0(x1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> 0'(0'(1'(1'(0'(0'(1'(1'(0'(1'(1'(0'(0'(0'(0'(0'(1'(0'(0'(1'(0'(1'(0'(1'(1'(1'(0'(1'(0'(0'(1'(0'(0'(1'(0'(1'(0'(0'(1'(0'(0'(1'(1'(0'(1'(0'(1'(0'(1'(1'(1'(0'(1'(0'(1'(0'(0'(0'(1'(0'(1'(0'(0'(0'(0'(1'(0'(1'(1'(0'(1'(1'(1'(1'(1'(0'(0'(1'(0'(1'(0'(1'(x1)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) [1] 0'(c_0(c_1(c_1(c_0(c_0(c_1(c_1(c_0(c_1(c_1(c_0(c_0(c_0(c_0(c_0(c_1(c_0(c_0(c_1(c_0(c_1(c_0(c_1(c_1(c_0(c_1(c_0(c_0(c_1(c_0(c_0(c_0(c_0(c_1(c_1(c_0(c_1(c_0(c_1(c_0(c_1(c_0(c_0(c_1(c_1(c_0(c_0(c_1(c_0(c_0(c_1(c_0(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_0(c_1(c_0(c_1(c_1(c_0(c_1(c_1(c_0(c_0(c_1(c_1(c_0(c_0(c_0(x1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> 0'(0'(1'(1'(0'(0'(1'(1'(0'(1'(1'(0'(0'(0'(0'(0'(1'(0'(0'(1'(0'(1'(0'(1'(1'(0'(1'(0'(0'(1'(0'(0'(0'(0'(1'(1'(0'(1'(0'(1'(0'(1'(0'(0'(1'(1'(0'(0'(1'(0'(0'(1'(0'(1'(0'(1'(1'(1'(1'(0'(1'(0'(1'(0'(1'(1'(0'(0'(0'(0'(1'(1'(1'(0'(1'(0'(0'(0'(0'(0'(0'(1'(0'(0'(x1)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) [1] 1'(c_0(c_0(c_1(c_1(c_0(c_1(c_1(c_0(c_0(c_0(c_0(c_0(c_1(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_0(c_0(c_1(c_0(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_1(c_1(c_0(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_1(c_1(c_1(c_0(c_1(c_1(c_0(c_1(c_0(c_1(c_0(c_0(c_0(c_0(c_0(c_0(c_1(c_0(c_0(c_1(c_0(c_1(c_0(c_1(x1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> 0'(0'(1'(1'(0'(0'(1'(1'(0'(1'(1'(0'(0'(0'(0'(0'(1'(0'(0'(1'(0'(1'(0'(1'(1'(1'(0'(1'(0'(0'(1'(0'(0'(1'(0'(0'(0'(0'(0'(1'(1'(0'(0'(0'(0'(0'(0'(0'(0'(1'(1'(0'(1'(0'(1'(0'(1'(0'(0'(0'(0'(0'(0'(1'(1'(0'(1'(0'(1'(0'(1'(0'(1'(1'(1'(0'(0'(1'(1'(0'(1'(1'(x1)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) [1] 0'(c_0(c_1(c_1(c_0(c_0(c_1(c_1(c_0(c_1(c_1(c_0(c_0(c_0(c_0(c_0(c_1(c_0(c_0(c_1(c_0(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_1(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_1(c_0(c_1(c_1(c_1(c_0(c_1(c_0(c_1(c_0(c_0(c_0(c_1(c_0(c_1(c_0(c_0(c_0(c_0(c_1(c_0(c_1(c_1(c_0(c_1(c_1(c_1(c_1(c_1(c_0(c_0(c_1(c_0(c_1(c_0(x1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> 0'(0'(1'(1'(0'(0'(1'(1'(0'(1'(1'(0'(0'(0'(0'(0'(1'(0'(0'(1'(0'(1'(0'(1'(1'(1'(0'(1'(0'(0'(1'(0'(0'(1'(0'(0'(0'(0'(0'(1'(1'(0'(0'(0'(0'(0'(0'(0'(0'(1'(1'(0'(1'(0'(1'(0'(1'(1'(1'(1'(1'(0'(1'(0'(0'(1'(1'(1'(1'(1'(0'(1'(1'(0'(0'(0'(1'(0'(1'(0'(1'(1'(x1)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) [1] 0'(c_0(c_1(c_1(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_1(c_0(c_0(c_1(c_1(c_1(c_1(c_0(c_1(c_0(c_0(c_0(c_1(c_0(c_1(c_1(c_1(c_1(c_0(c_0(c_0(c_1(c_1(c_0(c_1(c_1(c_1(c_0(c_1(c_0(c_0(c_0(c_0(c_1(c_0(c_1(c_1(c_0(c_0(c_0(c_1(c_0(c_0(c_1(c_0(c_1(c_0(c_1(c_0(c_1(c_0(c_0(c_1(c_1(c_1(c_0(c_1(c_0(c_1(c_1(c_1(c_0(c_0(x1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> 0'(0'(1'(1'(0'(0'(1'(1'(0'(1'(1'(0'(0'(0'(0'(0'(1'(0'(0'(1'(0'(1'(0'(1'(1'(1'(0'(1'(0'(0'(1'(0'(0'(1'(0'(0'(0'(0'(0'(1'(1'(0'(0'(0'(0'(0'(0'(0'(0'(1'(1'(0'(1'(0'(1'(0'(1'(1'(1'(0'(1'(0'(0'(1'(1'(1'(0'(0'(0'(0'(1'(0'(0'(1'(1'(1'(1'(1'(0'(0'(0'(1'(0'(0'(0'(x1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) [1] 0'(c_0(c_1(c_1(c_0(c_0(c_1(c_1(c_0(c_1(c_1(c_0(c_0(c_0(c_0(c_0(c_1(c_0(c_0(c_1(c_0(c_1(c_0(c_1(c_1(c_0(c_1(c_0(c_0(c_1(c_0(c_0(c_0(c_0(c_1(c_1(c_0(c_1(c_0(c_1(c_0(c_1(c_0(c_0(c_1(c_1(c_0(c_0(c_1(c_0(c_0(c_1(c_0(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_0(c_1(c_0(c_1(c_1(c_0(c_1(c_1(c_0(c_0(c_1(c_1(c_0(c_0(c_0(x1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> 0'(0'(1'(1'(1'(1'(1'(0'(1'(1'(1'(1'(0'(1'(0'(1'(1'(0'(1'(0'(0'(1'(1'(1'(1'(0'(0'(0'(1'(0'(0'(1'(1'(1'(1'(0'(0'(1'(1'(0'(1'(0'(1'(1'(1'(0'(0'(0'(1'(0'(0'(1'(1'(1'(0'(0'(0'(0'(1'(1'(0'(0'(0'(1'(0'(0'(1'(0'(0'(0'(0'(0'(1'(1'(0'(0'(0'(0'(1'(0'(1'(1'(0'(x1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) [1] 0'(c_0(c_1(c_0(c_1(c_0(c_1(c_1(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_0(c_1(c_1(c_1(c_1(c_0(c_0(c_0(c_0(c_0(c_0(c_0(c_1(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(c_1(c_1(c_0(c_1(c_1(c_0(c_0(c_1(c_0(c_0(c_1(c_0(c_1(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_0(c_1(c_1(c_1(c_1(c_0(c_1(c_1(c_1(c_1(x1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> 0'(0'(1'(1'(0'(0'(1'(1'(0'(1'(1'(0'(0'(0'(0'(0'(1'(0'(0'(1'(0'(1'(0'(1'(1'(1'(0'(1'(0'(0'(1'(0'(0'(1'(0'(0'(0'(0'(0'(1'(1'(0'(0'(0'(0'(0'(0'(0'(0'(1'(1'(0'(1'(0'(1'(0'(1'(1'(1'(1'(1'(0'(1'(0'(0'(1'(1'(1'(1'(1'(0'(1'(1'(0'(0'(0'(1'(0'(1'(0'(1'(1'(0'(x1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) [1] 1'(c_1(c_0(c_0(c_1(c_0(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_1(c_1(c_1(c_1(c_1(c_1(c_0(c_0(c_1(c_1(c_1(c_0(c_0(c_0(c_0(c_0(c_1(c_1(c_0(c_1(c_1(c_1(c_0(c_0(c_0(c_1(c_1(c_1(c_1(c_1(c_1(c_1(c_1(c_0(c_0(c_0(c_1(c_1(c_1(c_1(c_0(c_0(c_0(c_0(c_1(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_1(x1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> 0'(0'(1'(1'(0'(0'(1'(1'(0'(1'(1'(0'(0'(0'(0'(0'(1'(0'(0'(1'(0'(1'(0'(1'(1'(1'(0'(1'(0'(0'(1'(0'(0'(1'(0'(0'(0'(0'(0'(1'(1'(0'(0'(0'(0'(0'(0'(0'(0'(1'(1'(0'(1'(0'(1'(0'(1'(1'(1'(1'(1'(0'(1'(0'(0'(1'(1'(1'(1'(1'(0'(1'(1'(0'(0'(0'(1'(0'(0'(0'(0'(1'(x1)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) [1] 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0'(c_0(c_1(c_1(c_0(c_0(c_1(c_1(c_0(c_1(c_1(c_0(c_0(c_0(c_0(c_0(c_1(c_0(c_0(c_1(c_0(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_1(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_1(c_0(c_1(c_1(c_1(c_0(c_1(c_0(c_1(c_0(c_0(c_0(c_1(c_0(c_1(c_0(c_0(c_0(c_0(c_1(c_0(c_1(c_1(c_0(c_1(c_1(c_1(c_1(c_1(c_1(c_0(c_0(c_1(c_0(c_1(x1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> 0'(0'(1'(1'(0'(0'(1'(1'(0'(1'(1'(0'(0'(0'(0'(0'(1'(0'(0'(1'(0'(1'(0'(1'(1'(1'(0'(1'(0'(0'(1'(0'(0'(1'(0'(0'(0'(0'(0'(1'(1'(0'(0'(0'(0'(0'(0'(0'(0'(1'(1'(0'(1'(0'(1'(0'(1'(1'(1'(1'(1'(0'(1'(0'(0'(1'(1'(1'(1'(1'(0'(1'(1'(1'(1'(0'(1'(1'(1'(1'(1'(1'(x1)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) [1] 0'(c_0(c_1(c_1(c_0(c_0(c_1(c_1(c_0(c_1(c_1(c_0(c_0(c_0(c_0(c_0(c_1(c_0(c_0(c_1(c_0(c_1(c_0(c_1(c_1(c_0(c_1(c_0(c_0(c_1(c_0(c_0(c_0(c_0(c_1(c_1(c_0(c_1(c_0(c_1(c_0(c_1(c_0(c_0(c_1(c_1(c_0(c_0(c_1(c_0(c_0(c_1(c_0(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_0(c_0(c_0(c_0(c_1(c_1(c_1(c_0(c_0(c_1(c_0(c_1(c_0(c_1(c_1(x1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> 0'(0'(1'(1'(0'(0'(1'(1'(0'(1'(1'(0'(0'(0'(0'(0'(1'(0'(0'(1'(0'(1'(0'(1'(1'(1'(0'(1'(0'(0'(1'(0'(0'(1'(0'(0'(0'(0'(0'(1'(1'(0'(0'(0'(0'(0'(0'(0'(0'(1'(1'(0'(1'(0'(1'(0'(1'(0'(0'(0'(0'(0'(0'(1'(1'(0'(1'(0'(1'(0'(1'(0'(1'(1'(1'(0'(0'(1'(1'(1'(1'(1'(x1)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) [1] 0'(c_0(c_1(c_1(c_0(c_0(c_1(c_1(c_0(c_1(c_1(c_0(c_0(c_0(c_0(c_0(c_1(c_0(c_0(c_1(c_0(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_0(c_0(c_0(c_1(c_0(c_0(c_0(c_0(c_1(c_0(c_1(c_1(c_0(c_1(c_0(c_1(c_1(c_1(c_0(c_1(c_1(c_0(c_0(c_1(c_0(c_0(c_1(c_0(c_1(c_1(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(c_0(c_0(x1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> 0'(0'(1'(1'(0'(0'(1'(1'(0'(1'(1'(0'(0'(0'(0'(0'(1'(0'(0'(1'(0'(1'(0'(1'(1'(1'(0'(1'(0'(0'(1'(0'(0'(1'(0'(0'(0'(0'(0'(1'(1'(0'(0'(0'(0'(0'(0'(0'(0'(1'(1'(0'(1'(0'(1'(0'(1'(0'(0'(0'(0'(0'(0'(1'(1'(0'(1'(0'(1'(0'(1'(0'(1'(1'(1'(0'(0'(1'(1'(1'(1'(1'(x1)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) [1] 0'(c_0(c_1(c_1(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_1(c_0(c_0(c_1(c_1(c_1(c_1(c_0(c_1(c_0(c_0(c_0(c_1(c_0(c_1(c_1(c_1(c_1(c_0(c_0(c_0(c_1(c_1(c_0(c_1(c_1(c_1(c_0(c_1(c_0(c_0(c_0(c_0(c_1(c_0(c_1(c_1(c_0(c_0(c_0(c_1(c_0(c_0(c_1(c_0(c_1(c_0(c_1(c_0(c_1(c_0(c_0(c_1(c_1(c_1(c_0(c_1(c_0(c_1(c_1(c_1(c_1(c_1(x1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> 0'(0'(1'(1'(0'(0'(1'(1'(0'(1'(1'(0'(0'(0'(0'(0'(1'(0'(0'(1'(0'(1'(0'(1'(1'(1'(0'(1'(0'(0'(1'(0'(0'(1'(0'(1'(0'(0'(1'(0'(0'(1'(1'(0'(1'(0'(1'(0'(1'(1'(1'(0'(1'(0'(1'(0'(0'(0'(1'(0'(1'(0'(0'(0'(0'(1'(0'(1'(1'(0'(1'(1'(1'(1'(1'(0'(0'(1'(0'(0'(1'(1'(x1)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) [1] 0'(c_0(c_1(c_1(c_0(c_0(c_1(c_1(c_0(c_1(c_1(c_0(c_0(c_0(c_0(c_0(c_1(c_0(c_0(c_1(c_0(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_1(c_0(c_0(c_0(c_0(c_0(c_1(c_1(c_0(c_0(c_0(c_0(c_0(c_0(c_0(c_0(c_1(c_1(c_0(c_1(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_1(c_1(c_1(c_1(c_1(c_0(c_1(c_0(c_0(c_1(c_0(c_1(c_0(c_1(c_0(c_0(x1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> 0'(0'(1'(1'(0'(0'(1'(1'(0'(1'(1'(0'(0'(0'(0'(0'(1'(0'(0'(1'(0'(1'(0'(1'(1'(1'(0'(1'(0'(0'(1'(0'(0'(1'(0'(0'(0'(0'(0'(1'(1'(0'(0'(0'(0'(0'(0'(0'(0'(1'(1'(0'(1'(0'(1'(0'(1'(0'(0'(0'(0'(0'(0'(1'(1'(0'(1'(0'(1'(0'(1'(0'(1'(1'(1'(0'(0'(1'(1'(1'(1'(1'(x1)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) [1] 1'(c_0(c_0(c_1(c_1(c_0(c_1(c_1(c_0(c_0(c_0(c_0(c_0(c_1(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_0(c_0(c_1(c_0(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_1(c_1(c_0(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_1(c_1(c_1(c_1(c_0(c_1(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_1(c_1(c_0(c_1(c_1(x1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> 0'(0'(1'(1'(0'(0'(1'(1'(0'(1'(1'(0'(0'(0'(0'(0'(1'(0'(0'(1'(0'(1'(0'(1'(1'(1'(0'(1'(0'(0'(1'(0'(0'(0'(1'(0'(0'(0'(1'(0'(0'(0'(0'(1'(0'(1'(1'(0'(1'(0'(1'(1'(1'(0'(1'(1'(0'(0'(1'(0'(0'(1'(0'(1'(1'(0'(1'(0'(1'(0'(0'(1'(0'(1'(1'(0'(1'(0'(1'(0'(0'(1'(0'(0'(0'(0'(0'(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 ---------------------------------------- (23) CompletionProof (UPPER BOUND(ID)) The transformation into a RNTS is sound, since: (a) The obligation is a constructor system where every type has a constant constructor, (b) The following defined symbols do not have to be completely defined, as they can never occur inside other defined symbols: none (c) The following functions are completely defined: encArg_1 encode_0_1 encode_1_1 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 ---------------------------------------- (24) Obligation: Runtime Complexity Weighted TRS where critical functions are completely defined. The underlying TRS is: Runtime Complexity Weighted TRS with Types. The TRS R consists of the following rules: 0'(c_0(c_1(c_1(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_1(c_0(c_0(c_1(c_1(c_1(c_1(c_0(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_1(c_0(c_1(c_1(c_0(c_0(c_0(c_1(c_1(c_1(c_0(c_1(c_0(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_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_1(c_0(x1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> 0'(0'(1'(1'(1'(1'(1'(0'(1'(1'(1'(1'(0'(1'(0'(1'(1'(0'(1'(0'(0'(1'(1'(1'(1'(0'(0'(0'(1'(0'(0'(1'(1'(1'(1'(0'(0'(1'(1'(0'(1'(0'(1'(1'(1'(0'(0'(0'(1'(0'(0'(1'(1'(1'(0'(0'(0'(0'(1'(1'(0'(0'(0'(1'(0'(0'(1'(0'(0'(0'(0'(0'(1'(1'(0'(0'(0'(0'(1'(0'(1'(1'(0'(x1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) [1] 0'(c_0(c_1(c_1(c_0(c_0(c_1(c_1(c_0(c_1(c_1(c_0(c_0(c_0(c_0(c_0(c_1(c_0(c_0(c_1(c_0(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_1(c_0(c_0(c_0(c_0(c_0(c_1(c_1(c_0(c_0(c_0(c_0(c_0(c_0(c_0(c_0(c_1(c_1(c_0(c_1(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_1(c_1(c_1(c_1(c_1(c_0(c_1(c_0(c_0(c_1(c_0(c_1(c_0(c_1(c_0(c_0(x1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> 0'(0'(1'(1'(0'(0'(1'(1'(0'(1'(1'(0'(0'(0'(0'(0'(1'(0'(0'(1'(0'(1'(0'(1'(1'(1'(0'(1'(0'(0'(1'(0'(0'(1'(0'(0'(0'(0'(0'(1'(1'(0'(0'(0'(0'(0'(0'(0'(0'(1'(1'(0'(1'(0'(1'(0'(1'(1'(1'(1'(1'(0'(1'(0'(0'(1'(0'(0'(1'(0'(0'(1'(1'(0'(0'(1'(1'(0'(0'(0'(1'(1'(0'(x1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) [1] 0'(c_0(c_1(c_1(c_0(c_0(c_1(c_1(c_0(c_1(c_1(c_0(c_0(c_0(c_0(c_0(c_1(c_0(c_0(c_1(c_0(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_1(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_1(c_0(c_1(c_1(c_1(c_0(c_1(c_0(c_1(c_0(c_0(c_0(c_1(c_0(c_1(c_0(c_0(c_0(c_0(c_1(c_0(c_1(c_1(c_0(c_1(c_1(c_1(c_1(c_1(c_1(c_0(c_0(c_0(c_1(c_0(x1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> 0'(0'(1'(1'(0'(0'(1'(1'(0'(1'(1'(0'(0'(0'(0'(0'(1'(0'(0'(1'(0'(1'(0'(1'(1'(1'(0'(1'(0'(0'(1'(0'(0'(1'(0'(0'(0'(0'(0'(1'(1'(0'(0'(0'(0'(0'(0'(0'(0'(1'(1'(0'(1'(0'(1'(0'(1'(1'(1'(1'(1'(0'(1'(0'(0'(1'(1'(1'(1'(1'(0'(1'(1'(1'(1'(0'(1'(1'(0'(1'(0'(1'(x1)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) [1] 1'(c_1(c_0(c_0(c_1(c_0(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_1(c_1(c_1(c_1(c_1(c_1(c_0(c_0(c_1(c_1(c_1(c_0(c_0(c_0(c_0(c_0(c_1(c_1(c_0(c_1(c_1(c_1(c_0(c_0(c_0(c_1(c_1(c_1(c_1(c_1(c_1(c_1(c_1(c_0(c_0(c_0(c_1(c_1(c_1(c_1(c_0(c_0(c_0(c_0(c_1(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_1(x1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> 1'(1'(0'(0'(0'(1'(1'(1'(0'(0'(1'(1'(0'(1'(0'(0'(0'(0'(0'(0'(1'(1'(0'(1'(0'(1'(0'(0'(0'(0'(1'(1'(1'(1'(0'(1'(1'(1'(0'(0'(0'(1'(1'(0'(1'(0'(0'(0'(0'(0'(1'(1'(0'(1'(1'(0'(1'(1'(1'(0'(0'(0'(0'(0'(1'(1'(1'(0'(0'(1'(1'(0'(0'(0'(1'(1'(0'(1'(0'(1'(1'(1'(x1)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) [1] 0'(c_0(c_1(c_1(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_1(c_0(c_0(c_1(c_1(c_1(c_1(c_0(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_1(c_0(c_1(c_1(c_0(c_0(c_0(c_1(c_1(c_1(c_0(c_1(c_0(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_0(c_0(c_1(c_0(c_1(c_1(c_0(c_1(c_0(c_0(c_0(c_1(c_1(c_1(c_0(c_0(x1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> 0'(0'(1'(1'(1'(1'(1'(0'(1'(1'(1'(1'(0'(1'(0'(1'(1'(0'(1'(0'(0'(1'(1'(1'(1'(0'(0'(0'(1'(0'(0'(1'(1'(1'(1'(0'(0'(1'(1'(0'(1'(0'(1'(1'(1'(0'(0'(0'(1'(0'(0'(1'(1'(1'(0'(0'(0'(0'(1'(1'(0'(0'(0'(1'(0'(0'(1'(0'(0'(0'(0'(0'(1'(1'(0'(0'(0'(0'(1'(0'(1'(1'(x1)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) [1] 0'(c_0(c_1(c_1(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_1(c_0(c_0(c_1(c_1(c_1(c_1(c_0(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_1(c_0(c_1(c_1(c_0(c_0(c_0(c_1(c_1(c_1(c_0(c_1(c_0(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_0(c_0(c_1(c_0(c_1(c_1(c_0(c_1(c_0(c_0(c_1(c_1(c_0(c_1(c_0(c_0(x1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> 0'(0'(1'(1'(0'(0'(1'(1'(0'(1'(1'(0'(0'(0'(0'(0'(1'(0'(0'(1'(0'(1'(0'(1'(1'(1'(0'(1'(0'(0'(1'(0'(0'(1'(0'(1'(0'(0'(1'(0'(0'(1'(1'(0'(1'(0'(1'(0'(1'(1'(1'(0'(1'(0'(1'(0'(0'(0'(1'(0'(1'(0'(0'(0'(0'(1'(0'(1'(1'(0'(1'(1'(1'(1'(1'(0'(0'(1'(0'(1'(0'(1'(x1)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) [1] 0'(c_0(c_1(c_1(c_0(c_0(c_1(c_1(c_0(c_1(c_1(c_0(c_0(c_0(c_0(c_0(c_1(c_0(c_0(c_1(c_0(c_1(c_0(c_1(c_1(c_0(c_1(c_0(c_0(c_1(c_0(c_0(c_0(c_0(c_1(c_1(c_0(c_1(c_0(c_1(c_0(c_1(c_0(c_0(c_1(c_1(c_0(c_0(c_1(c_0(c_0(c_1(c_0(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_0(c_1(c_0(c_1(c_1(c_0(c_1(c_1(c_0(c_0(c_1(c_1(c_0(c_0(c_0(x1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> 0'(0'(1'(1'(0'(0'(1'(1'(0'(1'(1'(0'(0'(0'(0'(0'(1'(0'(0'(1'(0'(1'(0'(1'(1'(0'(1'(0'(0'(1'(0'(0'(0'(0'(1'(1'(0'(1'(0'(1'(0'(1'(0'(0'(1'(1'(0'(0'(1'(0'(0'(1'(0'(1'(0'(1'(1'(1'(1'(0'(1'(0'(1'(0'(1'(1'(0'(0'(0'(0'(1'(1'(1'(0'(1'(0'(0'(0'(0'(0'(0'(1'(0'(0'(x1)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) [1] 1'(c_0(c_0(c_1(c_1(c_0(c_1(c_1(c_0(c_0(c_0(c_0(c_0(c_1(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_0(c_0(c_1(c_0(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_1(c_1(c_0(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_1(c_1(c_1(c_0(c_1(c_1(c_0(c_1(c_0(c_1(c_0(c_0(c_0(c_0(c_0(c_0(c_1(c_0(c_0(c_1(c_0(c_1(c_0(c_1(x1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> 0'(0'(1'(1'(0'(0'(1'(1'(0'(1'(1'(0'(0'(0'(0'(0'(1'(0'(0'(1'(0'(1'(0'(1'(1'(1'(0'(1'(0'(0'(1'(0'(0'(1'(0'(0'(0'(0'(0'(1'(1'(0'(0'(0'(0'(0'(0'(0'(0'(1'(1'(0'(1'(0'(1'(0'(1'(0'(0'(0'(0'(0'(0'(1'(1'(0'(1'(0'(1'(0'(1'(0'(1'(1'(1'(0'(0'(1'(1'(0'(1'(1'(x1)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) [1] 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1'(c_1(c_0(c_0(c_1(c_0(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_1(c_1(c_1(c_1(c_1(c_1(c_0(c_0(c_1(c_1(c_1(c_0(c_0(c_0(c_0(c_0(c_1(c_1(c_0(c_1(c_1(c_1(c_0(c_0(c_0(c_1(c_1(c_1(c_1(c_1(c_1(c_1(c_1(c_0(c_0(c_0(c_1(c_1(c_1(c_1(c_0(c_0(c_0(c_0(c_1(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_1(c_1(c_1(x1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> 0'(0'(1'(1'(0'(0'(1'(1'(0'(1'(1'(0'(0'(0'(0'(0'(1'(0'(0'(1'(0'(1'(0'(1'(1'(1'(0'(1'(0'(0'(1'(0'(0'(1'(0'(0'(0'(0'(0'(1'(1'(0'(0'(0'(0'(0'(0'(0'(0'(1'(1'(0'(1'(0'(1'(0'(1'(1'(1'(1'(1'(0'(1'(0'(0'(1'(1'(1'(1'(1'(0'(1'(1'(1'(1'(0'(1'(1'(1'(1'(1'(1'(x1)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) [1] 0'(c_0(c_1(c_1(c_0(c_0(c_1(c_1(c_0(c_1(c_1(c_0(c_0(c_0(c_0(c_0(c_1(c_0(c_0(c_1(c_0(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_0(c_0(c_0(c_1(c_0(c_0(c_0(c_0(c_1(c_0(c_1(c_1(c_0(c_1(c_0(c_1(c_1(c_1(c_0(c_1(c_1(c_0(c_0(c_1(c_0(c_0(c_1(c_0(c_1(c_1(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(c_0(c_0(x1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> 0'(0'(1'(1'(0'(0'(1'(1'(0'(1'(1'(0'(0'(0'(0'(0'(1'(0'(0'(1'(0'(1'(0'(1'(1'(1'(0'(1'(0'(0'(1'(0'(0'(1'(0'(0'(0'(0'(0'(1'(1'(0'(0'(0'(0'(0'(0'(0'(0'(1'(1'(0'(1'(0'(1'(0'(1'(1'(1'(1'(1'(0'(1'(0'(0'(1'(1'(1'(1'(1'(0'(1'(1'(0'(0'(0'(1'(0'(1'(0'(0'(1'(x1)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) [1] 0'(c_0(c_1(c_1(c_0(c_0(c_1(c_1(c_0(c_1(c_1(c_0(c_0(c_0(c_0(c_0(c_1(c_0(c_0(c_1(c_0(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_1(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_1(c_0(c_1(c_1(c_1(c_0(c_1(c_0(c_1(c_0(c_0(c_0(c_1(c_0(c_1(c_0(c_0(c_0(c_0(c_1(c_0(c_1(c_1(c_0(c_1(c_1(c_1(c_1(c_1(c_0(c_0(c_1(c_0(c_1(c_0(x1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> 0'(0'(1'(1'(0'(0'(1'(1'(0'(1'(1'(0'(0'(0'(0'(0'(1'(0'(0'(1'(0'(1'(0'(1'(1'(1'(0'(1'(0'(0'(1'(0'(0'(1'(0'(0'(0'(0'(0'(1'(1'(0'(0'(0'(0'(0'(0'(0'(0'(1'(1'(0'(1'(0'(1'(0'(1'(0'(0'(0'(0'(0'(0'(1'(1'(0'(1'(0'(1'(0'(1'(0'(1'(1'(1'(0'(0'(1'(1'(1'(1'(1'(x1)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) [1] 0'(c_0(c_1(c_1(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_1(c_0(c_0(c_1(c_1(c_1(c_1(c_0(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_1(c_0(c_1(c_1(c_0(c_0(c_0(c_1(c_1(c_1(c_0(c_1(c_0(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_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_0(x1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> 0'(0'(1'(1'(0'(0'(1'(1'(0'(1'(1'(0'(0'(0'(0'(0'(1'(0'(0'(1'(0'(1'(0'(1'(1'(1'(0'(1'(0'(0'(1'(0'(0'(1'(0'(1'(0'(0'(1'(0'(0'(1'(1'(0'(1'(0'(1'(0'(1'(1'(1'(0'(1'(0'(1'(0'(0'(0'(1'(0'(1'(0'(0'(0'(0'(1'(0'(1'(1'(0'(1'(1'(1'(1'(1'(0'(0'(1'(0'(0'(0'(1'(0'(0'(x1)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) [1] 0'(c_0(c_1(c_0(c_1(c_0(c_1(c_1(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_0(c_1(c_1(c_1(c_1(c_0(c_0(c_0(c_0(c_0(c_0(c_0(c_1(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(c_1(c_1(c_0(c_1(c_1(c_0(c_0(c_1(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_1(c_0(c_0(c_1(c_0(c_1(c_1(c_1(c_1(c_1(c_1(c_1(c_1(c_0(c_1(x1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> 0'(0'(1'(1'(0'(0'(1'(1'(0'(1'(1'(0'(0'(0'(0'(0'(1'(0'(0'(1'(0'(1'(0'(1'(1'(1'(0'(1'(0'(0'(1'(0'(0'(1'(0'(0'(0'(0'(0'(1'(1'(0'(0'(0'(0'(0'(0'(0'(0'(1'(1'(0'(1'(0'(1'(0'(1'(1'(1'(1'(1'(0'(1'(0'(0'(1'(0'(0'(1'(0'(0'(1'(1'(0'(0'(1'(1'(0'(0'(0'(1'(1'(0'(x1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) [1] 0'(c_0(c_1(c_0(c_1(c_0(c_1(c_1(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_0(c_1(c_1(c_1(c_1(c_0(c_0(c_0(c_0(c_0(c_0(c_0(c_1(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(c_1(c_1(c_0(c_1(c_1(c_0(c_0(c_1(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_1(c_0(c_0(c_1(c_0(c_1(c_1(c_1(c_1(c_1(c_1(c_1(c_1(c_0(c_1(x1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> 0'(0'(1'(1'(0'(0'(1'(1'(0'(1'(1'(0'(0'(0'(0'(0'(1'(0'(0'(1'(0'(1'(0'(1'(1'(0'(1'(0'(0'(1'(0'(0'(0'(0'(1'(1'(0'(1'(0'(1'(0'(1'(0'(0'(1'(1'(0'(0'(1'(0'(0'(1'(0'(1'(0'(1'(1'(1'(1'(0'(1'(0'(1'(0'(1'(1'(0'(0'(0'(0'(1'(1'(1'(0'(1'(0'(0'(0'(0'(0'(0'(1'(x1)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) [1] 0'(c_0(c_1(c_1(c_0(c_0(c_1(c_1(c_0(c_1(c_1(c_0(c_0(c_0(c_0(c_0(c_1(c_0(c_0(c_1(c_0(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_1(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_1(c_0(c_1(c_1(c_1(c_0(c_1(c_0(c_1(c_0(c_0(c_0(c_1(c_0(c_1(c_0(c_0(c_0(c_0(c_1(c_0(c_1(c_1(c_0(c_1(c_1(c_1(c_1(c_1(c_1(c_0(c_0(c_1(c_0(c_1(x1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> 0'(0'(1'(1'(0'(0'(1'(1'(0'(1'(1'(0'(0'(0'(0'(0'(1'(0'(0'(1'(0'(1'(0'(1'(1'(1'(0'(1'(0'(0'(1'(0'(0'(1'(0'(0'(0'(0'(0'(1'(1'(0'(0'(0'(0'(0'(0'(0'(0'(1'(1'(0'(1'(0'(1'(0'(1'(1'(1'(1'(1'(0'(1'(0'(0'(1'(1'(1'(1'(1'(0'(1'(1'(1'(1'(0'(1'(1'(1'(1'(1'(1'(x1)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) [1] 0'(c_0(c_1(c_1(c_0(c_0(c_1(c_1(c_0(c_1(c_1(c_0(c_0(c_0(c_0(c_0(c_1(c_0(c_0(c_1(c_0(c_1(c_0(c_1(c_1(c_0(c_1(c_0(c_0(c_1(c_0(c_0(c_0(c_0(c_1(c_1(c_0(c_1(c_0(c_1(c_0(c_1(c_0(c_0(c_1(c_1(c_0(c_0(c_1(c_0(c_0(c_1(c_0(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_0(c_0(c_0(c_0(c_1(c_1(c_1(c_0(c_0(c_1(c_0(c_1(c_0(c_1(c_1(x1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> 0'(0'(1'(1'(0'(0'(1'(1'(0'(1'(1'(0'(0'(0'(0'(0'(1'(0'(0'(1'(0'(1'(0'(1'(1'(1'(0'(1'(0'(0'(1'(0'(0'(1'(0'(0'(0'(0'(0'(1'(1'(0'(0'(0'(0'(0'(0'(0'(0'(1'(1'(0'(1'(0'(1'(0'(1'(0'(0'(0'(0'(0'(0'(1'(1'(0'(1'(0'(1'(0'(1'(0'(1'(1'(1'(0'(0'(1'(1'(1'(1'(1'(x1)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) [1] 0'(c_0(c_1(c_1(c_0(c_0(c_1(c_1(c_0(c_1(c_1(c_0(c_0(c_0(c_0(c_0(c_1(c_0(c_0(c_1(c_0(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_0(c_0(c_0(c_1(c_0(c_0(c_0(c_0(c_1(c_0(c_1(c_1(c_0(c_1(c_0(c_1(c_1(c_1(c_0(c_1(c_1(c_0(c_0(c_1(c_0(c_0(c_1(c_0(c_1(c_1(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(c_0(c_0(x1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> 0'(0'(1'(1'(0'(0'(1'(1'(0'(1'(1'(0'(0'(0'(0'(0'(1'(0'(0'(1'(0'(1'(0'(1'(1'(1'(0'(1'(0'(0'(1'(0'(0'(1'(0'(0'(0'(0'(0'(1'(1'(0'(0'(0'(0'(0'(0'(0'(0'(1'(1'(0'(1'(0'(1'(0'(1'(0'(0'(0'(0'(0'(0'(1'(1'(0'(1'(0'(1'(0'(1'(0'(1'(1'(1'(0'(0'(1'(1'(1'(1'(1'(x1)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) [1] 0'(c_0(c_1(c_1(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_1(c_0(c_0(c_1(c_1(c_1(c_1(c_0(c_1(c_0(c_0(c_0(c_1(c_0(c_1(c_1(c_1(c_1(c_0(c_0(c_0(c_1(c_1(c_0(c_1(c_1(c_1(c_0(c_1(c_0(c_0(c_0(c_0(c_1(c_0(c_1(c_1(c_0(c_0(c_0(c_1(c_0(c_0(c_1(c_0(c_1(c_0(c_1(c_0(c_1(c_0(c_0(c_1(c_1(c_1(c_0(c_1(c_0(c_1(c_1(c_1(c_1(c_1(x1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> 0'(0'(1'(1'(0'(0'(1'(1'(0'(1'(1'(0'(0'(0'(0'(0'(1'(0'(0'(1'(0'(1'(0'(1'(1'(1'(0'(1'(0'(0'(1'(0'(0'(1'(0'(1'(0'(0'(1'(0'(0'(1'(1'(0'(1'(0'(1'(0'(1'(1'(1'(0'(1'(0'(1'(0'(0'(0'(1'(0'(1'(0'(0'(0'(0'(1'(0'(1'(1'(0'(1'(1'(1'(1'(1'(0'(0'(1'(0'(0'(1'(1'(x1)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) [1] 0'(c_0(c_1(c_1(c_0(c_0(c_1(c_1(c_0(c_1(c_1(c_0(c_0(c_0(c_0(c_0(c_1(c_0(c_0(c_1(c_0(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_1(c_0(c_0(c_0(c_0(c_0(c_1(c_1(c_0(c_0(c_0(c_0(c_0(c_0(c_0(c_0(c_1(c_1(c_0(c_1(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_1(c_1(c_1(c_1(c_1(c_0(c_1(c_0(c_0(c_1(c_0(c_1(c_0(c_1(c_0(c_0(x1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> 0'(0'(1'(1'(0'(0'(1'(1'(0'(1'(1'(0'(0'(0'(0'(0'(1'(0'(0'(1'(0'(1'(0'(1'(1'(1'(0'(1'(0'(0'(1'(0'(0'(1'(0'(0'(0'(0'(0'(1'(1'(0'(0'(0'(0'(0'(0'(0'(0'(1'(1'(0'(1'(0'(1'(0'(1'(0'(0'(0'(0'(0'(0'(1'(1'(0'(1'(0'(1'(0'(1'(0'(1'(1'(1'(0'(0'(1'(1'(1'(1'(1'(x1)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) [1] 1'(c_0(c_0(c_1(c_1(c_0(c_1(c_1(c_0(c_0(c_0(c_0(c_0(c_1(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_0(c_0(c_1(c_0(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_1(c_1(c_0(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_1(c_1(c_1(c_1(c_0(c_1(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_1(c_1(c_0(c_1(c_1(x1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> 0'(0'(1'(1'(0'(0'(1'(1'(0'(1'(1'(0'(0'(0'(0'(0'(1'(0'(0'(1'(0'(1'(0'(1'(1'(1'(0'(1'(0'(0'(1'(0'(0'(0'(1'(0'(0'(0'(1'(0'(0'(0'(0'(1'(0'(1'(1'(0'(1'(0'(1'(1'(1'(0'(1'(1'(0'(0'(1'(0'(0'(1'(0'(1'(1'(0'(1'(0'(1'(0'(0'(1'(0'(1'(1'(0'(1'(0'(1'(0'(0'(1'(0'(0'(0'(0'(0'(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 ---------------------------------------- (25) NarrowingProof (BOTH BOUNDS(ID, ID)) Narrowed the inner basic terms of all right-hand sides by a single narrowing step. ---------------------------------------- (26) Obligation: Runtime Complexity Weighted TRS where critical functions are completely defined. The underlying TRS is: Runtime Complexity Weighted TRS with Types. The TRS R consists of the following rules: 0'(c_0(c_1(c_1(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_1(c_0(c_0(c_1(c_1(c_1(c_1(c_0(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_1(c_0(c_1(c_1(c_0(c_0(c_0(c_1(c_1(c_1(c_0(c_1(c_0(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_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_1(c_0(x1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> 0'(0'(1'(1'(1'(1'(1'(0'(1'(1'(1'(1'(0'(1'(0'(1'(1'(0'(1'(0'(0'(1'(1'(1'(1'(0'(0'(0'(1'(0'(0'(1'(1'(1'(1'(0'(0'(1'(1'(0'(1'(0'(1'(1'(1'(0'(0'(0'(1'(0'(0'(1'(1'(1'(0'(0'(0'(0'(1'(1'(0'(0'(0'(1'(0'(0'(1'(0'(0'(0'(0'(0'(1'(1'(0'(0'(0'(0'(1'(0'(1'(1'(0'(x1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) [1] 0'(c_0(c_1(c_1(c_0(c_0(c_1(c_1(c_0(c_1(c_1(c_0(c_0(c_0(c_0(c_0(c_1(c_0(c_0(c_1(c_0(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_1(c_0(c_0(c_0(c_0(c_0(c_1(c_1(c_0(c_0(c_0(c_0(c_0(c_0(c_0(c_0(c_1(c_1(c_0(c_1(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_1(c_1(c_1(c_1(c_1(c_0(c_1(c_0(c_0(c_1(c_0(c_1(c_0(c_1(c_0(c_0(x1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> 0'(0'(1'(1'(0'(0'(1'(1'(0'(1'(1'(0'(0'(0'(0'(0'(1'(0'(0'(1'(0'(1'(0'(1'(1'(1'(0'(1'(0'(0'(1'(0'(0'(1'(0'(0'(0'(0'(0'(1'(1'(0'(0'(0'(0'(0'(0'(0'(0'(1'(1'(0'(1'(0'(1'(0'(1'(1'(1'(1'(1'(0'(1'(0'(0'(1'(0'(0'(1'(0'(0'(1'(1'(0'(0'(1'(1'(0'(0'(0'(1'(1'(0'(x1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) [1] 0'(c_0(c_1(c_1(c_0(c_0(c_1(c_1(c_0(c_1(c_1(c_0(c_0(c_0(c_0(c_0(c_1(c_0(c_0(c_1(c_0(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_1(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_1(c_0(c_1(c_1(c_1(c_0(c_1(c_0(c_1(c_0(c_0(c_0(c_1(c_0(c_1(c_0(c_0(c_0(c_0(c_1(c_0(c_1(c_1(c_0(c_1(c_1(c_1(c_1(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_1(c_1(c_1(c_0(c_0(c_0(c_1(c_1(c_0(c_1(c_1(c_1(c_1(c_1(c_1(c_0(c_0(c_1(c_1(c_1(c_0(c_0(c_0(c_0(c_0(c_1(c_1(c_0(c_1(c_1(c_1(c_0(c_0(c_0(c_1(c_1(c_1(c_1(c_1(c_1(c_1(c_1(c_0(c_0(c_0(c_1(c_1(c_1(c_1(c_0(c_0(c_0(c_0(c_1(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_1(x149))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> 0'(0'(1'(1'(0'(0'(1'(1'(0'(1'(1'(0'(0'(0'(0'(0'(1'(0'(0'(1'(0'(1'(0'(1'(1'(1'(0'(1'(0'(0'(1'(0'(0'(1'(0'(0'(0'(0'(0'(1'(1'(0'(0'(0'(0'(0'(0'(0'(0'(1'(1'(0'(1'(0'(1'(0'(1'(1'(1'(1'(1'(0'(1'(0'(0'(1'(1'(1'(1'(1'(0'(1'(1'(1'(1'(0'(1'(1'(0'(1'(0'(1'(1'(0'(0'(0'(1'(1'(1'(0'(0'(1'(1'(0'(1'(0'(0'(0'(0'(0'(0'(1'(1'(0'(1'(0'(1'(0'(0'(0'(0'(1'(1'(1'(1'(0'(1'(1'(1'(0'(0'(0'(1'(1'(0'(1'(0'(0'(0'(0'(0'(1'(1'(0'(1'(1'(0'(1'(1'(1'(0'(0'(0'(0'(0'(1'(1'(1'(0'(0'(1'(1'(0'(0'(0'(1'(1'(0'(1'(0'(1'(1'(1'(x149))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) [2] 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0'(0'(1'(1'(0'(0'(1'(1'(0'(1'(1'(0'(0'(0'(0'(0'(1'(0'(0'(1'(0'(1'(0'(1'(1'(1'(0'(1'(0'(0'(1'(0'(0'(1'(0'(0'(0'(0'(0'(1'(1'(0'(0'(0'(0'(0'(0'(0'(0'(1'(1'(0'(1'(0'(1'(0'(1'(1'(1'(1'(1'(0'(1'(0'(0'(1'(1'(1'(1'(1'(0'(1'(1'(1'(1'(0'(1'(1'(0'(1'(0'(0'(0'(1'(1'(0'(0'(1'(1'(0'(1'(1'(0'(0'(0'(0'(0'(1'(0'(0'(1'(0'(1'(0'(1'(1'(1'(0'(1'(0'(0'(1'(0'(0'(1'(0'(0'(0'(0'(0'(1'(1'(0'(0'(0'(0'(0'(0'(0'(0'(1'(1'(0'(1'(0'(1'(0'(1'(0'(0'(0'(0'(0'(0'(1'(1'(0'(1'(0'(1'(0'(1'(0'(1'(1'(1'(0'(0'(1'(1'(0'(1'(1'(x150))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) [2] 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0'(0'(1'(1'(0'(0'(1'(1'(0'(1'(1'(0'(0'(0'(0'(0'(1'(0'(0'(1'(0'(1'(0'(1'(1'(1'(0'(1'(0'(0'(1'(0'(0'(1'(0'(0'(0'(0'(0'(1'(1'(0'(0'(0'(0'(0'(0'(0'(0'(1'(1'(0'(1'(0'(1'(0'(1'(1'(1'(1'(1'(0'(1'(0'(0'(1'(1'(1'(1'(1'(0'(1'(1'(1'(1'(0'(1'(1'(0'(1'(0'(0'(0'(1'(1'(0'(0'(1'(1'(0'(1'(1'(0'(0'(0'(0'(0'(1'(0'(0'(1'(0'(1'(0'(1'(1'(1'(0'(1'(0'(0'(1'(0'(0'(1'(0'(0'(0'(0'(0'(1'(1'(0'(0'(0'(0'(0'(0'(0'(0'(1'(1'(0'(1'(0'(1'(0'(1'(1'(1'(1'(1'(0'(1'(0'(0'(1'(1'(1'(1'(1'(0'(1'(1'(0'(0'(0'(1'(0'(0'(0'(0'(1'(x151))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) [2] 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0'(0'(1'(1'(0'(0'(1'(1'(0'(1'(1'(0'(0'(0'(0'(0'(1'(0'(0'(1'(0'(1'(0'(1'(1'(1'(0'(1'(0'(0'(1'(0'(0'(1'(0'(0'(0'(0'(0'(1'(1'(0'(0'(0'(0'(0'(0'(0'(0'(1'(1'(0'(1'(0'(1'(0'(1'(1'(1'(1'(1'(0'(1'(0'(0'(1'(1'(1'(1'(1'(0'(1'(1'(1'(1'(0'(1'(1'(0'(1'(0'(0'(0'(1'(1'(1'(1'(1'(0'(1'(1'(1'(1'(0'(1'(0'(1'(1'(0'(1'(0'(0'(1'(1'(1'(1'(0'(0'(0'(1'(0'(0'(1'(1'(1'(1'(0'(0'(1'(1'(0'(1'(0'(1'(1'(1'(0'(0'(0'(1'(0'(0'(1'(1'(1'(0'(0'(0'(0'(1'(1'(0'(0'(0'(1'(0'(0'(1'(0'(0'(0'(0'(0'(1'(1'(1'(0'(0'(0'(0'(0'(0'(1'(x152))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) [2] 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0'(c_0(c_1(c_1(c_0(c_0(c_1(c_1(c_0(c_1(c_1(c_0(c_0(c_0(c_0(c_0(c_1(c_0(c_0(c_1(c_0(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_1(c_0(c_0(c_0(c_0(c_0(c_1(c_1(c_0(c_0(c_0(c_0(c_0(c_0(c_0(c_0(c_1(c_1(c_0(c_1(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_1(c_1(c_1(c_1(c_1(c_0(c_1(c_0(c_0(c_1(c_0(c_1(c_0(c_1(c_0(c_0(c_1(c_0(c_0(c_1(c_0(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_1(c_1(c_1(c_1(c_1(c_1(c_0(c_0(c_1(c_1(c_1(c_0(c_0(c_0(c_0(c_0(c_1(c_1(c_0(c_1(c_1(c_1(c_0(c_0(c_0(c_1(c_1(c_1(c_1(c_1(c_1(c_1(c_1(c_0(c_0(c_0(c_1(c_1(c_1(c_1(c_0(c_0(c_0(c_0(c_1(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_1(c_1(c_1(x1394))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> 0'(0'(1'(1'(0'(0'(1'(1'(0'(1'(1'(0'(0'(0'(0'(0'(1'(0'(0'(1'(0'(1'(0'(1'(1'(1'(0'(1'(0'(0'(1'(0'(0'(1'(0'(0'(0'(0'(0'(1'(1'(0'(0'(0'(0'(0'(0'(0'(0'(1'(1'(0'(1'(0'(1'(0'(1'(0'(0'(0'(0'(0'(0'(1'(1'(0'(1'(0'(1'(0'(1'(0'(1'(1'(1'(0'(0'(1'(1'(1'(1'(0'(0'(1'(1'(0'(0'(1'(1'(0'(1'(1'(0'(0'(0'(0'(0'(1'(0'(0'(1'(0'(1'(0'(1'(1'(1'(0'(1'(0'(0'(1'(0'(0'(1'(0'(0'(0'(0'(0'(1'(1'(0'(0'(0'(0'(0'(0'(0'(0'(1'(1'(0'(1'(0'(1'(0'(1'(1'(1'(1'(1'(0'(1'(0'(0'(1'(1'(1'(1'(1'(0'(1'(1'(1'(1'(0'(1'(1'(1'(1'(1'(1'(x1394))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) [2] 0'(c_0(c_1(c_1(c_0(c_0(c_1(c_1(c_0(c_1(c_1(c_0(c_0(c_0(c_0(c_0(c_1(c_0(c_0(c_1(c_0(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_1(c_0(c_0(c_0(c_0(c_0(c_1(c_1(c_0(c_0(c_0(c_0(c_0(c_0(c_0(c_0(c_1(c_1(c_0(c_1(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_1(c_1(c_1(c_1(c_1(c_0(c_1(c_0(c_0(c_1(c_0(c_1(c_0(c_1(c_0(c_0(c_0(c_0(c_1(c_1(c_0(c_1(c_1(c_0(c_0(c_0(c_0(c_0(c_1(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_0(c_0(c_1(c_0(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_1(c_1(c_0(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_1(c_1(c_1(c_1(c_0(c_1(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_1(c_1(c_0(c_1(c_1(x1395))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> 0'(0'(1'(1'(0'(0'(1'(1'(0'(1'(1'(0'(0'(0'(0'(0'(1'(0'(0'(1'(0'(1'(0'(1'(1'(1'(0'(1'(0'(0'(1'(0'(0'(1'(0'(0'(0'(0'(0'(1'(1'(0'(0'(0'(0'(0'(0'(0'(0'(1'(1'(0'(1'(0'(1'(0'(1'(0'(0'(0'(0'(0'(0'(1'(1'(0'(1'(0'(1'(0'(1'(0'(1'(1'(1'(0'(0'(1'(1'(1'(1'(0'(0'(1'(1'(0'(0'(1'(1'(0'(1'(1'(0'(0'(0'(0'(0'(1'(0'(0'(1'(0'(1'(0'(1'(1'(1'(0'(1'(0'(0'(1'(0'(0'(0'(1'(0'(0'(0'(1'(0'(0'(0'(0'(1'(0'(1'(1'(0'(1'(0'(1'(1'(1'(0'(1'(1'(0'(0'(1'(0'(0'(1'(0'(1'(1'(0'(1'(0'(1'(0'(0'(1'(0'(1'(1'(0'(1'(0'(1'(0'(0'(1'(0'(0'(0'(0'(0'(x1395)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) [2] 0'(c_0(c_1(c_1(c_0(c_0(c_1(c_1(c_0(c_1(c_1(c_0(c_0(c_0(c_0(c_0(c_1(c_0(c_0(c_1(c_0(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_1(c_0(c_0(c_0(c_0(c_0(c_1(c_1(c_0(c_0(c_0(c_0(c_0(c_0(c_0(c_0(c_1(c_1(c_0(c_1(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_1(c_1(c_1(c_1(c_1(c_0(c_1(c_0(c_0(c_1(c_0(c_1(c_0(c_1(c_0(c_0(x1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> 0'(0'(1'(1'(0'(0'(1'(1'(0'(1'(1'(0'(0'(0'(0'(0'(1'(0'(0'(1'(0'(1'(0'(1'(1'(1'(0'(1'(0'(0'(1'(0'(0'(1'(0'(0'(0'(0'(0'(1'(1'(0'(0'(0'(0'(0'(0'(0'(0'(1'(1'(0'(1'(0'(1'(0'(1'(0'(0'(0'(0'(0'(0'(1'(1'(0'(1'(0'(1'(0'(1'(0'(1'(1'(1'(0'(0'(1'(1'(1'(1'(c_1(x1)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) [1] 0'(c_0(c_1(c_1(c_0(c_0(c_1(c_1(c_0(c_1(c_1(c_0(c_0(c_0(c_0(c_0(c_1(c_0(c_0(c_1(c_0(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_1(c_0(c_0(c_0(c_0(c_0(c_1(c_1(c_0(c_0(c_0(c_0(c_0(c_0(c_0(c_0(c_1(c_1(c_0(c_1(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_1(c_1(c_1(c_1(c_1(c_0(c_1(c_0(c_0(c_1(c_0(c_1(c_0(c_1(c_0(c_0(x1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> 0'(0'(1'(1'(0'(0'(1'(1'(0'(1'(1'(0'(0'(0'(0'(0'(1'(0'(0'(1'(0'(1'(0'(1'(1'(1'(0'(1'(0'(0'(1'(0'(0'(1'(0'(0'(0'(0'(0'(1'(1'(0'(0'(0'(0'(0'(0'(0'(0'(1'(1'(0'(1'(0'(1'(0'(1'(0'(0'(0'(0'(0'(0'(1'(1'(0'(1'(0'(1'(0'(1'(0'(1'(1'(1'(0'(0'(1'(1'(1'(1'(const))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) [1] 1'(c_0(c_0(c_1(c_1(c_0(c_1(c_1(c_0(c_0(c_0(c_0(c_0(c_1(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_0(c_0(c_1(c_0(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_1(c_1(c_0(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_1(c_1(c_1(c_1(c_0(c_1(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_1(c_1(c_0(c_1(c_1(x1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> 0'(0'(1'(1'(0'(0'(1'(1'(0'(1'(1'(0'(0'(0'(0'(0'(1'(0'(0'(1'(0'(1'(0'(1'(1'(1'(0'(1'(0'(0'(1'(0'(0'(0'(1'(0'(0'(0'(1'(0'(0'(0'(0'(1'(0'(1'(1'(0'(1'(0'(1'(1'(1'(0'(1'(1'(0'(0'(1'(0'(0'(1'(0'(1'(1'(0'(1'(0'(1'(0'(0'(1'(0'(1'(1'(0'(1'(0'(1'(0'(0'(1'(0'(0'(0'(0'(0'(x1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) [1] encArg(cons_0(cons_0(x_1'))) -> 0'(0'(encArg(x_1'))) [0] encArg(cons_0(cons_1(x_1''))) -> 0'(1'(encArg(x_1''))) [0] encArg(cons_0(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 ---------------------------------------- (27) CpxTypedWeightedTrsToRntsProof (UPPER BOUND(ID)) Transformed the TRS into an over-approximating RNTS by (improved) Size Abstraction. The constant constructors are abstracted as follows: const => 0 const1 => 0 ---------------------------------------- (28) Obligation: Complexity RNTS consisting of the following rules: 0'(z) -{ 2 }-> 0'(0'(1'(1'(1'(1'(1'(0'(1'(1'(1'(1'(0'(1'(0'(1'(1'(0'(1'(0'(0'(1'(1'(1'(1'(0'(0'(0'(1'(0'(0'(1'(1'(1'(1'(0'(0'(1'(1'(0'(1'(0'(1'(1'(1'(0'(0'(0'(1'(0'(0'(1'(1'(1'(0'(0'(0'(0'(1'(1'(0'(0'(0'(1'(0'(0'(1'(0'(0'(0'(0'(0'(1'(1'(0'(0'(0'(0'(1'(0'(1'(1'(1'(0'(0'(0'(1'(1'(1'(0'(0'(1'(1'(0'(1'(0'(0'(0'(0'(0'(0'(1'(1'(0'(1'(0'(1'(0'(0'(0'(0'(1'(1'(1'(1'(0'(1'(1'(1'(0'(0'(0'(1'(1'(0'(1'(0'(0'(0'(0'(0'(1'(1'(0'(1'(1'(0'(1'(1'(1'(0'(0'(0'(0'(0'(1'(1'(1'(0'(0'(1'(1'(0'(0'(0'(1'(1'(0'(1'(0'(1'(1'(1'(x163))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x163))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))), x163 >= 0 0'(z) -{ 1 }-> 0'(0'(1'(1'(1'(1'(1'(0'(1'(1'(1'(1'(0'(1'(0'(1'(1'(0'(1'(0'(0'(1'(1'(1'(1'(0'(0'(0'(1'(0'(0'(1'(1'(1'(1'(0'(0'(1'(1'(0'(1'(0'(1'(1'(1'(0'(0'(0'(1'(0'(0'(1'(1'(1'(0'(0'(0'(0'(1'(1'(0'(0'(0'(1'(0'(0'(1'(0'(0'(0'(0'(0'(1'(1'(0'(0'(0'(0'(1'(0'(1'(1'(0'(x1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (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'(1'(1'(1'(1'(1'(0'(1'(1'(1'(1'(0'(1'(0'(1'(1'(0'(1'(0'(0'(1'(1'(1'(1'(0'(0'(0'(1'(0'(0'(1'(1'(1'(1'(0'(0'(1'(1'(0'(1'(0'(1'(1'(1'(0'(0'(0'(1'(0'(0'(1'(1'(1'(0'(0'(0'(0'(1'(1'(0'(0'(0'(1'(0'(0'(1'(0'(0'(0'(0'(0'(1'(1'(0'(0'(0'(0'(1'(0'(1'(0'(0'(1'(1'(1'(1'(1'(0'(1'(1'(1'(1'(0'(1'(0'(1'(1'(0'(1'(0'(0'(1'(1'(1'(1'(0'(0'(0'(1'(0'(0'(1'(1'(1'(1'(0'(0'(1'(1'(0'(1'(0'(1'(1'(1'(0'(0'(0'(1'(0'(0'(1'(1'(1'(0'(0'(0'(0'(1'(1'(0'(0'(0'(1'(0'(0'(1'(0'(0'(0'(0'(0'(1'(1'(1'(0'(0'(0'(0'(0'(0'(1'(x166))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (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'(1'(1'(1'(1'(0'(1'(1'(1'(1'(0'(1'(0'(1'(1'(0'(1'(0'(0'(1'(1'(1'(1'(0'(0'(0'(1'(0'(0'(1'(1'(1'(1'(0'(0'(1'(1'(0'(1'(0'(1'(1'(1'(0'(0'(0'(1'(0'(0'(1'(1'(1'(0'(0'(0'(0'(1'(1'(0'(0'(0'(1'(0'(0'(1'(0'(0'(0'(0'(0'(1'(1'(0'(0'(0'(0'(1'(0'(1'(0'(0'(1'(1'(0'(0'(1'(1'(0'(1'(1'(0'(0'(0'(0'(0'(1'(0'(0'(1'(0'(1'(0'(1'(1'(1'(0'(1'(0'(0'(1'(0'(0'(1'(0'(0'(0'(0'(0'(1'(1'(0'(0'(0'(0'(0'(0'(0'(0'(1'(1'(0'(1'(0'(1'(0'(1'(1'(1'(1'(1'(0'(1'(0'(0'(1'(1'(1'(1'(1'(0'(1'(1'(1'(1'(0'(1'(1'(1'(1'(1'(1'(x168))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (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'(1'(1'(1'(1'(0'(1'(1'(1'(1'(0'(1'(0'(1'(1'(0'(1'(0'(0'(1'(1'(1'(1'(0'(0'(0'(1'(0'(0'(1'(1'(1'(1'(0'(0'(1'(1'(0'(1'(0'(1'(1'(1'(0'(0'(0'(1'(0'(0'(1'(1'(1'(0'(0'(0'(0'(1'(1'(0'(0'(0'(1'(0'(0'(1'(0'(0'(0'(0'(0'(1'(1'(0'(0'(0'(0'(1'(0'(1'(0'(0'(1'(1'(0'(0'(1'(1'(0'(1'(1'(0'(0'(0'(0'(0'(1'(0'(0'(1'(0'(1'(0'(1'(1'(1'(0'(1'(0'(0'(1'(0'(0'(1'(0'(0'(0'(0'(0'(1'(1'(0'(0'(0'(0'(0'(0'(0'(0'(1'(1'(0'(1'(0'(1'(0'(1'(1'(1'(1'(1'(0'(1'(0'(0'(1'(1'(1'(1'(1'(0'(1'(1'(0'(0'(0'(1'(0'(0'(0'(0'(1'(x165))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: x165 >= 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 + 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0'(0'(1'(1'(1'(1'(1'(0'(1'(1'(1'(1'(0'(1'(0'(1'(1'(0'(1'(0'(0'(1'(1'(1'(1'(0'(0'(0'(1'(0'(0'(1'(1'(1'(1'(0'(0'(1'(1'(0'(1'(0'(1'(1'(1'(0'(0'(0'(1'(0'(0'(1'(1'(1'(0'(0'(0'(0'(1'(1'(0'(0'(0'(1'(0'(0'(1'(0'(0'(0'(0'(0'(1'(1'(0'(0'(0'(0'(1'(0'(1'(0'(0'(1'(1'(0'(0'(1'(1'(0'(1'(1'(0'(0'(0'(0'(0'(1'(0'(0'(1'(0'(1'(0'(1'(1'(1'(0'(1'(0'(0'(1'(0'(0'(1'(0'(0'(0'(0'(0'(1'(1'(0'(0'(0'(0'(0'(0'(0'(0'(1'(1'(0'(1'(0'(1'(0'(1'(1'(1'(1'(1'(0'(1'(0'(0'(1'(1'(1'(1'(1'(0'(1'(1'(0'(0'(0'(1'(0'(0'(0'(0'(1'(x167))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (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'(1'(1'(1'(1'(0'(1'(1'(1'(1'(0'(1'(0'(1'(1'(0'(1'(0'(0'(1'(1'(1'(1'(0'(0'(0'(1'(0'(0'(1'(1'(1'(1'(0'(0'(1'(1'(0'(1'(0'(1'(1'(1'(0'(0'(0'(1'(0'(0'(1'(1'(1'(0'(0'(0'(0'(1'(1'(0'(0'(0'(1'(0'(0'(1'(0'(0'(0'(0'(0'(1'(1'(0'(0'(0'(0'(1'(0'(1'(0'(0'(1'(1'(0'(0'(1'(1'(0'(1'(1'(0'(0'(0'(0'(0'(1'(0'(0'(1'(0'(1'(0'(1'(1'(1'(0'(1'(0'(0'(1'(0'(0'(1'(0'(0'(0'(0'(0'(1'(1'(0'(0'(0'(0'(0'(0'(0'(0'(1'(1'(0'(1'(0'(1'(0'(1'(0'(0'(0'(0'(0'(0'(1'(1'(0'(1'(0'(1'(0'(1'(0'(1'(1'(1'(0'(0'(1'(1'(0'(1'(1'(x164))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: x164 >= 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 + 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0'(0'(1'(1'(1'(1'(1'(0'(1'(1'(1'(1'(0'(1'(0'(1'(1'(0'(1'(0'(0'(1'(1'(1'(1'(0'(0'(0'(1'(0'(0'(1'(1'(1'(1'(0'(0'(1'(1'(0'(1'(0'(1'(1'(1'(0'(0'(0'(1'(0'(0'(1'(1'(1'(0'(0'(0'(0'(1'(1'(0'(0'(0'(1'(0'(0'(1'(0'(0'(0'(0'(0'(1'(1'(0'(0'(0'(0'(1'(0'(1'(0'(0'(1'(1'(0'(0'(1'(1'(0'(1'(1'(0'(0'(0'(0'(0'(1'(0'(0'(1'(0'(1'(0'(1'(1'(1'(0'(1'(0'(0'(1'(0'(0'(0'(1'(0'(0'(0'(1'(0'(0'(0'(0'(1'(0'(1'(1'(0'(1'(0'(1'(1'(1'(0'(1'(1'(0'(0'(1'(0'(0'(1'(0'(1'(1'(0'(1'(0'(1'(0'(0'(1'(0'(1'(1'(0'(1'(0'(1'(0'(0'(1'(0'(0'(0'(0'(0'(x169)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (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'(1'(1'(1'(1'(1'(0'(1'(1'(1'(1'(0'(1'(0'(1'(1'(0'(1'(0'(0'(1'(1'(1'(1'(0'(0'(0'(1'(0'(0'(1'(1'(1'(1'(0'(0'(1'(1'(0'(1'(0'(1'(1'(1'(0'(0'(0'(1'(0'(0'(1'(1'(1'(0'(0'(0'(0'(1'(1'(0'(0'(0'(1'(0'(0'(1'(0'(0'(0'(0'(0'(1'(1'(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 + 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0'(0'(1'(1'(1'(1'(1'(0'(1'(1'(1'(1'(0'(1'(0'(1'(1'(0'(1'(0'(0'(1'(1'(1'(1'(0'(0'(0'(1'(0'(0'(1'(1'(1'(1'(0'(0'(1'(1'(0'(1'(0'(1'(1'(1'(0'(0'(0'(1'(0'(0'(1'(1'(1'(0'(0'(0'(0'(1'(1'(0'(0'(0'(1'(0'(0'(1'(0'(0'(0'(0'(0'(1'(1'(0'(0'(0'(0'(1'(0'(0'(1'(1'(0'(0'(0'(1'(1'(1'(0'(0'(1'(1'(0'(1'(0'(0'(0'(0'(0'(0'(1'(1'(0'(1'(0'(1'(0'(0'(0'(0'(1'(1'(1'(1'(0'(1'(1'(1'(0'(0'(0'(1'(1'(0'(1'(0'(0'(0'(0'(0'(1'(1'(0'(1'(1'(0'(1'(1'(1'(0'(0'(0'(0'(0'(1'(1'(1'(0'(0'(1'(1'(0'(0'(0'(1'(1'(0'(1'(0'(1'(1'(1'(x1244))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: x1244 >= 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 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0'(0'(1'(1'(1'(1'(1'(0'(1'(1'(1'(1'(0'(1'(0'(1'(1'(0'(1'(0'(0'(1'(1'(1'(1'(0'(0'(0'(1'(0'(0'(1'(1'(1'(1'(0'(0'(1'(1'(0'(1'(0'(1'(1'(1'(0'(0'(0'(1'(0'(0'(1'(1'(1'(0'(0'(0'(0'(1'(1'(0'(0'(0'(1'(0'(0'(1'(0'(0'(0'(0'(0'(1'(1'(0'(0'(0'(0'(1'(0'(0'(0'(0'(1'(1'(1'(1'(1'(0'(1'(1'(1'(1'(0'(1'(0'(1'(1'(0'(1'(0'(0'(1'(1'(1'(1'(0'(0'(0'(1'(0'(0'(1'(1'(1'(1'(0'(0'(1'(1'(0'(1'(0'(1'(1'(1'(0'(0'(0'(1'(0'(0'(1'(1'(1'(0'(0'(0'(0'(1'(1'(0'(0'(0'(1'(0'(0'(1'(0'(0'(0'(0'(0'(1'(1'(1'(0'(0'(0'(0'(0'(0'(1'(x1247))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (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'(1'(1'(1'(1'(0'(1'(1'(1'(1'(0'(1'(0'(1'(1'(0'(1'(0'(0'(1'(1'(1'(1'(0'(0'(0'(1'(0'(0'(1'(1'(1'(1'(0'(0'(1'(1'(0'(1'(0'(1'(1'(1'(0'(0'(0'(1'(0'(0'(1'(1'(1'(0'(0'(0'(0'(1'(1'(0'(0'(0'(1'(0'(0'(1'(0'(0'(0'(0'(0'(1'(1'(0'(0'(0'(0'(1'(0'(0'(0'(0'(1'(1'(0'(0'(1'(1'(0'(1'(1'(0'(0'(0'(0'(0'(1'(0'(0'(1'(0'(1'(0'(1'(1'(1'(0'(1'(0'(0'(1'(0'(0'(1'(0'(0'(0'(0'(0'(1'(1'(0'(0'(0'(0'(0'(0'(0'(0'(1'(1'(0'(1'(0'(1'(0'(1'(1'(1'(1'(1'(0'(1'(0'(0'(1'(1'(1'(1'(1'(0'(1'(1'(1'(1'(0'(1'(1'(1'(1'(1'(1'(x1249))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: x1249 >= 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 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0'(0'(1'(1'(1'(1'(1'(0'(1'(1'(1'(1'(0'(1'(0'(1'(1'(0'(1'(0'(0'(1'(1'(1'(1'(0'(0'(0'(1'(0'(0'(1'(1'(1'(1'(0'(0'(1'(1'(0'(1'(0'(1'(1'(1'(0'(0'(0'(1'(0'(0'(1'(1'(1'(0'(0'(0'(0'(1'(1'(0'(0'(0'(1'(0'(0'(1'(0'(0'(0'(0'(0'(1'(1'(0'(0'(0'(0'(1'(0'(0'(0'(0'(1'(1'(0'(0'(1'(1'(0'(1'(1'(0'(0'(0'(0'(0'(1'(0'(0'(1'(0'(1'(0'(1'(1'(1'(0'(1'(0'(0'(1'(0'(0'(1'(0'(0'(0'(0'(0'(1'(1'(0'(0'(0'(0'(0'(0'(0'(0'(1'(1'(0'(1'(0'(1'(0'(1'(1'(1'(1'(1'(0'(1'(0'(0'(1'(1'(1'(1'(1'(0'(1'(1'(0'(0'(0'(1'(0'(0'(0'(0'(1'(x1246))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: x1246 >= 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 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0'(0'(1'(1'(1'(1'(1'(0'(1'(1'(1'(1'(0'(1'(0'(1'(1'(0'(1'(0'(0'(1'(1'(1'(1'(0'(0'(0'(1'(0'(0'(1'(1'(1'(1'(0'(0'(1'(1'(0'(1'(0'(1'(1'(1'(0'(0'(0'(1'(0'(0'(1'(1'(1'(0'(0'(0'(0'(1'(1'(0'(0'(0'(1'(0'(0'(1'(0'(0'(0'(0'(0'(1'(1'(0'(0'(0'(0'(1'(0'(0'(0'(0'(1'(1'(0'(0'(1'(1'(0'(1'(1'(0'(0'(0'(0'(0'(1'(0'(0'(1'(0'(1'(0'(1'(1'(1'(0'(1'(0'(0'(1'(0'(0'(1'(0'(0'(0'(0'(0'(1'(1'(0'(0'(0'(0'(0'(0'(0'(0'(1'(1'(0'(1'(0'(1'(0'(1'(1'(1'(1'(1'(0'(1'(0'(0'(1'(1'(1'(1'(1'(0'(1'(1'(0'(0'(0'(1'(0'(0'(0'(0'(1'(x1248))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: x1248 >= 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 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0'(0'(1'(1'(1'(1'(1'(0'(1'(1'(1'(1'(0'(1'(0'(1'(1'(0'(1'(0'(0'(1'(1'(1'(1'(0'(0'(0'(1'(0'(0'(1'(1'(1'(1'(0'(0'(1'(1'(0'(1'(0'(1'(1'(1'(0'(0'(0'(1'(0'(0'(1'(1'(1'(0'(0'(0'(0'(1'(1'(0'(0'(0'(1'(0'(0'(1'(0'(0'(0'(0'(0'(1'(1'(0'(0'(0'(0'(1'(0'(0'(0'(0'(1'(1'(0'(0'(1'(1'(0'(1'(1'(0'(0'(0'(0'(0'(1'(0'(0'(1'(0'(1'(0'(1'(1'(1'(0'(1'(0'(0'(1'(0'(0'(1'(0'(0'(0'(0'(0'(1'(1'(0'(0'(0'(0'(0'(0'(0'(0'(1'(1'(0'(1'(0'(1'(0'(1'(0'(0'(0'(0'(0'(0'(1'(1'(0'(1'(0'(1'(0'(1'(0'(1'(1'(1'(0'(0'(1'(1'(0'(1'(1'(x1245))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (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'(1'(1'(1'(1'(0'(1'(1'(1'(1'(0'(1'(0'(1'(1'(0'(1'(0'(0'(1'(1'(1'(1'(0'(0'(0'(1'(0'(0'(1'(1'(1'(1'(0'(0'(1'(1'(0'(1'(0'(1'(1'(1'(0'(0'(0'(1'(0'(0'(1'(1'(1'(0'(0'(0'(0'(1'(1'(0'(0'(0'(1'(0'(0'(1'(0'(0'(0'(0'(0'(1'(1'(0'(0'(0'(0'(1'(0'(0'(0'(0'(1'(1'(0'(0'(1'(1'(0'(1'(1'(0'(0'(0'(0'(0'(1'(0'(0'(1'(0'(1'(0'(1'(1'(1'(0'(1'(0'(0'(1'(0'(0'(0'(1'(0'(0'(0'(1'(0'(0'(0'(0'(1'(0'(1'(1'(0'(1'(0'(1'(1'(1'(0'(1'(1'(0'(0'(1'(0'(0'(1'(0'(1'(1'(0'(1'(0'(1'(0'(0'(1'(0'(1'(1'(0'(1'(0'(1'(0'(0'(1'(0'(0'(0'(0'(0'(x1250)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: x1250 >= 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'(1'(1'(1'(1'(1'(0'(1'(1'(1'(1'(0'(1'(0'(1'(1'(0'(1'(0'(0'(1'(1'(1'(1'(0'(0'(0'(1'(0'(0'(1'(1'(1'(1'(0'(0'(1'(1'(0'(1'(0'(1'(1'(1'(0'(0'(0'(1'(0'(0'(1'(1'(1'(0'(0'(0'(0'(1'(1'(0'(0'(0'(1'(0'(0'(1'(0'(0'(0'(0'(0'(1'(1'(0'(0'(0'(0'(1'(0'(0'(0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) 0'(z) -{ 1 }-> 0'(0'(1'(1'(1'(1'(1'(0'(1'(1'(1'(1'(0'(1'(0'(1'(1'(0'(1'(0'(0'(1'(1'(1'(1'(0'(0'(0'(1'(0'(0'(1'(1'(1'(1'(0'(0'(1'(1'(0'(1'(0'(1'(1'(1'(0'(0'(0'(1'(0'(0'(1'(1'(1'(0'(0'(0'(0'(1'(1'(0'(0'(0'(1'(0'(0'(1'(0'(0'(0'(0'(0'(1'(1'(0'(0'(0'(0'(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'(1'(0'(0'(1'(1'(0'(1'(1'(0'(0'(0'(0'(0'(1'(0'(0'(1'(0'(1'(0'(1'(1'(1'(0'(1'(0'(0'(1'(0'(0'(1'(0'(1'(0'(0'(1'(0'(0'(1'(1'(0'(1'(0'(1'(0'(1'(1'(1'(0'(1'(0'(1'(0'(0'(0'(1'(0'(1'(0'(0'(0'(0'(1'(0'(1'(1'(0'(1'(1'(1'(1'(1'(0'(0'(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) -{ 2 }-> 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0'(0'(1'(1'(0'(0'(1'(1'(0'(1'(1'(0'(0'(0'(0'(0'(1'(0'(0'(1'(0'(1'(0'(1'(1'(1'(0'(1'(0'(0'(1'(0'(0'(1'(0'(1'(0'(0'(1'(0'(0'(1'(1'(0'(1'(0'(1'(0'(1'(1'(1'(0'(1'(0'(1'(0'(0'(0'(1'(0'(1'(0'(0'(0'(0'(1'(0'(1'(1'(0'(1'(1'(1'(1'(1'(0'(0'(1'(0'(1'(0'(0'(0'(1'(1'(1'(1'(1'(0'(1'(1'(1'(1'(0'(1'(0'(1'(1'(0'(1'(0'(0'(1'(1'(1'(1'(0'(0'(0'(1'(0'(0'(1'(1'(1'(1'(0'(0'(1'(1'(0'(1'(0'(1'(1'(1'(0'(0'(0'(1'(0'(0'(1'(1'(1'(0'(0'(0'(0'(1'(1'(0'(0'(0'(1'(0'(0'(1'(0'(0'(0'(0'(0'(1'(1'(1'(0'(0'(0'(0'(0'(0'(1'(x173))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: x173 >= 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 + 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0'(0'(1'(1'(0'(0'(1'(1'(0'(1'(1'(0'(0'(0'(0'(0'(1'(0'(0'(1'(0'(1'(0'(1'(1'(1'(0'(1'(0'(0'(1'(0'(0'(1'(0'(1'(0'(0'(1'(0'(0'(1'(1'(0'(1'(0'(1'(0'(1'(1'(1'(0'(1'(0'(1'(0'(0'(0'(1'(0'(1'(0'(0'(0'(0'(1'(0'(1'(1'(0'(1'(1'(1'(1'(1'(0'(0'(1'(0'(1'(0'(0'(0'(1'(1'(0'(0'(1'(1'(0'(1'(1'(0'(0'(0'(0'(0'(1'(0'(0'(1'(0'(1'(0'(1'(1'(1'(0'(1'(0'(0'(1'(0'(0'(1'(0'(0'(0'(0'(0'(1'(1'(0'(0'(0'(0'(0'(0'(0'(0'(1'(1'(0'(1'(0'(1'(0'(1'(1'(1'(1'(1'(0'(1'(0'(0'(1'(1'(1'(1'(1'(0'(1'(1'(1'(1'(0'(1'(1'(1'(1'(1'(1'(x175))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: x175 >= 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 + 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0'(0'(1'(1'(0'(0'(1'(1'(0'(1'(1'(0'(0'(0'(0'(0'(1'(0'(0'(1'(0'(1'(0'(1'(1'(1'(0'(1'(0'(0'(1'(0'(0'(1'(0'(1'(0'(0'(1'(0'(0'(1'(1'(0'(1'(0'(1'(0'(1'(1'(1'(0'(1'(0'(1'(0'(0'(0'(1'(0'(1'(0'(0'(0'(0'(1'(0'(1'(1'(0'(1'(1'(1'(1'(1'(0'(0'(1'(0'(1'(0'(0'(0'(1'(1'(0'(0'(1'(1'(0'(1'(1'(0'(0'(0'(0'(0'(1'(0'(0'(1'(0'(1'(0'(1'(1'(1'(0'(1'(0'(0'(1'(0'(0'(1'(0'(0'(0'(0'(0'(1'(1'(0'(0'(0'(0'(0'(0'(0'(0'(1'(1'(0'(1'(0'(1'(0'(1'(1'(1'(1'(1'(0'(1'(0'(0'(1'(1'(1'(1'(1'(0'(1'(1'(0'(0'(0'(1'(0'(0'(0'(0'(1'(x172))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (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'(1'(0'(0'(1'(1'(0'(1'(1'(0'(0'(0'(0'(0'(1'(0'(0'(1'(0'(1'(0'(1'(1'(1'(0'(1'(0'(0'(1'(0'(0'(1'(0'(1'(0'(0'(1'(0'(0'(1'(1'(0'(1'(0'(1'(0'(1'(1'(1'(0'(1'(0'(1'(0'(0'(0'(1'(0'(1'(0'(0'(0'(0'(1'(0'(1'(1'(0'(1'(1'(1'(1'(1'(0'(0'(1'(0'(1'(0'(0'(0'(1'(1'(0'(0'(1'(1'(0'(1'(1'(0'(0'(0'(0'(0'(1'(0'(0'(1'(0'(1'(0'(1'(1'(1'(0'(1'(0'(0'(1'(0'(0'(1'(0'(0'(0'(0'(0'(1'(1'(0'(0'(0'(0'(0'(0'(0'(0'(1'(1'(0'(1'(0'(1'(0'(1'(1'(1'(1'(1'(0'(1'(0'(0'(1'(1'(1'(1'(1'(0'(1'(1'(0'(0'(0'(1'(0'(0'(0'(0'(1'(x174))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (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'(1'(0'(0'(1'(1'(0'(1'(1'(0'(0'(0'(0'(0'(1'(0'(0'(1'(0'(1'(0'(1'(1'(1'(0'(1'(0'(0'(1'(0'(0'(1'(0'(1'(0'(0'(1'(0'(0'(1'(1'(0'(1'(0'(1'(0'(1'(1'(1'(0'(1'(0'(1'(0'(0'(0'(1'(0'(1'(0'(0'(0'(0'(1'(0'(1'(1'(0'(1'(1'(1'(1'(1'(0'(0'(1'(0'(1'(0'(0'(0'(1'(1'(0'(0'(1'(1'(0'(1'(1'(0'(0'(0'(0'(0'(1'(0'(0'(1'(0'(1'(0'(1'(1'(1'(0'(1'(0'(0'(1'(0'(0'(1'(0'(0'(0'(0'(0'(1'(1'(0'(0'(0'(0'(0'(0'(0'(0'(1'(1'(0'(1'(0'(1'(0'(1'(0'(0'(0'(0'(0'(0'(1'(1'(0'(1'(0'(1'(0'(1'(0'(1'(1'(1'(0'(0'(1'(1'(0'(1'(1'(x171))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (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'(1'(0'(0'(1'(1'(0'(1'(1'(0'(0'(0'(0'(0'(1'(0'(0'(1'(0'(1'(0'(1'(1'(1'(0'(1'(0'(0'(1'(0'(0'(1'(0'(1'(0'(0'(1'(0'(0'(1'(1'(0'(1'(0'(1'(0'(1'(1'(1'(0'(1'(0'(1'(0'(0'(0'(1'(0'(1'(0'(0'(0'(0'(1'(0'(1'(1'(0'(1'(1'(1'(1'(1'(0'(0'(1'(0'(1'(0'(0'(0'(1'(1'(0'(0'(1'(1'(0'(1'(1'(0'(0'(0'(0'(0'(1'(0'(0'(1'(0'(1'(0'(1'(1'(1'(0'(1'(0'(0'(1'(0'(0'(0'(1'(0'(0'(0'(1'(0'(0'(0'(0'(1'(0'(1'(1'(0'(1'(0'(1'(1'(1'(0'(1'(1'(0'(0'(1'(0'(0'(1'(0'(1'(1'(0'(1'(0'(1'(0'(0'(1'(0'(1'(1'(0'(1'(0'(1'(0'(0'(1'(0'(0'(0'(0'(0'(x176)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: x176 >= 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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:|: 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'(1'(0'(0'(1'(1'(0'(1'(1'(0'(0'(0'(0'(0'(1'(0'(0'(1'(0'(1'(0'(1'(1'(1'(0'(1'(0'(0'(1'(0'(0'(1'(0'(1'(0'(0'(1'(0'(0'(1'(1'(0'(1'(0'(1'(0'(1'(1'(1'(0'(1'(0'(1'(0'(0'(0'(1'(0'(1'(0'(0'(0'(0'(1'(0'(1'(1'(0'(1'(1'(1'(1'(1'(0'(0'(1'(0'(1'(0'(1 + x1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + 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0'(0'(1'(1'(0'(0'(1'(1'(0'(1'(1'(0'(0'(0'(0'(0'(1'(0'(0'(1'(0'(1'(0'(1'(1'(1'(0'(1'(0'(0'(1'(0'(0'(1'(0'(1'(0'(0'(1'(0'(0'(1'(1'(0'(1'(0'(1'(0'(1'(1'(1'(0'(1'(0'(1'(0'(0'(0'(1'(0'(1'(0'(0'(0'(0'(1'(0'(1'(1'(0'(1'(1'(1'(1'(1'(0'(0'(1'(0'(0'(1'(1'(1'(0'(0'(0'(1'(1'(1'(0'(0'(1'(1'(0'(1'(0'(0'(0'(0'(0'(0'(1'(1'(0'(1'(0'(1'(0'(0'(0'(0'(1'(1'(1'(1'(0'(1'(1'(1'(0'(0'(0'(1'(1'(0'(1'(0'(0'(0'(0'(0'(1'(1'(0'(1'(1'(0'(1'(1'(1'(0'(0'(0'(0'(0'(1'(1'(1'(0'(0'(1'(1'(0'(0'(0'(1'(1'(0'(1'(0'(1'(1'(1'(x1382))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: x1382 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (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'(1'(0'(0'(1'(1'(0'(1'(1'(0'(0'(0'(0'(0'(1'(0'(0'(1'(0'(1'(0'(1'(1'(1'(0'(1'(0'(0'(1'(0'(0'(1'(0'(1'(0'(0'(1'(0'(0'(1'(1'(0'(1'(0'(1'(0'(1'(1'(1'(0'(1'(0'(1'(0'(0'(0'(1'(0'(1'(0'(0'(0'(0'(1'(0'(1'(1'(0'(1'(1'(1'(1'(1'(0'(0'(1'(0'(0'(1'(0'(0'(1'(1'(0'(0'(1'(1'(0'(1'(1'(0'(0'(0'(0'(0'(1'(0'(0'(1'(0'(1'(0'(1'(1'(1'(0'(1'(0'(0'(1'(0'(0'(0'(1'(0'(0'(0'(1'(0'(0'(0'(0'(1'(0'(1'(1'(0'(1'(0'(1'(1'(1'(0'(1'(1'(0'(0'(1'(0'(0'(1'(0'(1'(1'(0'(1'(0'(1'(0'(0'(1'(0'(1'(1'(0'(1'(0'(1'(0'(0'(1'(0'(0'(0'(0'(0'(x1388)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (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'(1'(0'(0'(1'(1'(0'(1'(1'(0'(0'(0'(0'(0'(1'(0'(0'(1'(0'(1'(0'(1'(1'(1'(0'(1'(0'(0'(1'(0'(0'(1'(0'(1'(0'(0'(1'(0'(0'(1'(1'(0'(1'(0'(1'(0'(1'(1'(1'(0'(1'(0'(1'(0'(0'(0'(1'(0'(1'(0'(0'(0'(0'(1'(0'(1'(1'(0'(1'(1'(1'(1'(1'(0'(0'(1'(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))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) 0'(z) -{ 1 }-> 0'(0'(1'(1'(0'(0'(1'(1'(0'(1'(1'(0'(0'(0'(0'(0'(1'(0'(0'(1'(0'(1'(0'(1'(1'(1'(0'(1'(0'(0'(1'(0'(0'(1'(0'(1'(0'(0'(1'(0'(0'(1'(1'(0'(1'(0'(1'(0'(1'(1'(1'(0'(1'(0'(1'(0'(0'(0'(1'(0'(1'(0'(0'(0'(0'(1'(0'(1'(1'(0'(1'(1'(1'(1'(1'(0'(0'(1'(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'(1'(1'(0'(0'(1'(1'(0'(1'(1'(0'(0'(0'(0'(0'(1'(0'(0'(1'(0'(1'(0'(1'(1'(1'(0'(1'(0'(0'(1'(0'(0'(1'(0'(1'(0'(0'(1'(0'(0'(1'(1'(0'(1'(0'(1'(0'(1'(1'(1'(0'(1'(0'(1'(0'(0'(0'(1'(0'(1'(0'(0'(0'(0'(1'(0'(1'(1'(0'(1'(1'(1'(1'(1'(0'(0'(1'(0'(0'(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))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) 0'(z) -{ 2 }-> 0'(0'(1'(1'(0'(0'(1'(1'(0'(1'(1'(0'(0'(0'(0'(0'(1'(0'(0'(1'(0'(1'(0'(1'(1'(1'(0'(1'(0'(0'(1'(0'(0'(1'(0'(0'(0'(0'(0'(1'(1'(0'(0'(0'(0'(0'(0'(0'(0'(1'(1'(0'(1'(0'(1'(0'(1'(1'(1'(1'(1'(0'(1'(0'(0'(1'(1'(1'(1'(1'(0'(1'(1'(1'(1'(0'(1'(1'(1'(1'(1'(1'(1'(0'(0'(0'(1'(1'(1'(0'(0'(1'(1'(0'(1'(0'(0'(0'(0'(0'(0'(1'(1'(0'(1'(0'(1'(0'(0'(0'(0'(1'(1'(1'(1'(0'(1'(1'(1'(0'(0'(0'(1'(1'(0'(1'(0'(0'(0'(0'(0'(1'(1'(0'(1'(1'(0'(1'(1'(1'(0'(0'(0'(0'(0'(1'(1'(1'(0'(0'(1'(1'(0'(0'(0'(1'(1'(0'(1'(0'(1'(1'(1'(x1361))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: x1361 >= 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 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0'(0'(1'(1'(0'(0'(1'(1'(0'(1'(1'(0'(0'(0'(0'(0'(1'(0'(0'(1'(0'(1'(0'(1'(1'(1'(0'(1'(0'(0'(1'(0'(0'(1'(0'(0'(0'(0'(0'(1'(1'(0'(0'(0'(0'(0'(0'(0'(0'(1'(1'(0'(1'(0'(1'(0'(1'(1'(1'(1'(1'(0'(1'(0'(0'(1'(1'(1'(1'(1'(0'(1'(1'(1'(1'(0'(1'(1'(1'(1'(1'(0'(0'(1'(1'(1'(1'(1'(0'(1'(1'(1'(1'(0'(1'(0'(1'(1'(0'(1'(0'(0'(1'(1'(1'(1'(0'(0'(0'(1'(0'(0'(1'(1'(1'(1'(0'(0'(1'(1'(0'(1'(0'(1'(1'(1'(0'(0'(0'(1'(0'(0'(1'(1'(1'(0'(0'(0'(0'(1'(1'(0'(0'(0'(1'(0'(0'(1'(0'(0'(0'(0'(0'(1'(1'(1'(0'(0'(0'(0'(0'(0'(1'(x1364))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: x1364 >= 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 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0'(0'(1'(1'(0'(0'(1'(1'(0'(1'(1'(0'(0'(0'(0'(0'(1'(0'(0'(1'(0'(1'(0'(1'(1'(1'(0'(1'(0'(0'(1'(0'(0'(1'(0'(0'(0'(0'(0'(1'(1'(0'(0'(0'(0'(0'(0'(0'(0'(1'(1'(0'(1'(0'(1'(0'(1'(1'(1'(1'(1'(0'(1'(0'(0'(1'(1'(1'(1'(1'(0'(1'(1'(1'(1'(0'(1'(1'(1'(1'(1'(0'(0'(1'(1'(0'(0'(1'(1'(0'(1'(1'(0'(0'(0'(0'(0'(1'(0'(0'(1'(0'(1'(0'(1'(1'(1'(0'(1'(0'(0'(1'(0'(0'(1'(0'(0'(0'(0'(0'(1'(1'(0'(0'(0'(0'(0'(0'(0'(0'(1'(1'(0'(1'(0'(1'(0'(1'(1'(1'(1'(1'(0'(1'(0'(0'(1'(1'(1'(1'(1'(0'(1'(1'(1'(1'(0'(1'(1'(1'(1'(1'(1'(x1366))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: x1366 >= 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 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0'(0'(1'(1'(0'(0'(1'(1'(0'(1'(1'(0'(0'(0'(0'(0'(1'(0'(0'(1'(0'(1'(0'(1'(1'(1'(0'(1'(0'(0'(1'(0'(0'(1'(0'(0'(0'(0'(0'(1'(1'(0'(0'(0'(0'(0'(0'(0'(0'(1'(1'(0'(1'(0'(1'(0'(1'(1'(1'(1'(1'(0'(1'(0'(0'(1'(1'(1'(1'(1'(0'(1'(1'(1'(1'(0'(1'(1'(1'(1'(1'(0'(0'(1'(1'(0'(0'(1'(1'(0'(1'(1'(0'(0'(0'(0'(0'(1'(0'(0'(1'(0'(1'(0'(1'(1'(1'(0'(1'(0'(0'(1'(0'(0'(1'(0'(0'(0'(0'(0'(1'(1'(0'(0'(0'(0'(0'(0'(0'(0'(1'(1'(0'(1'(0'(1'(0'(1'(1'(1'(1'(1'(0'(1'(0'(0'(1'(1'(1'(1'(1'(0'(1'(1'(0'(0'(0'(1'(0'(0'(0'(0'(1'(x1363))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: x1363 >= 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 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0'(0'(1'(1'(0'(0'(1'(1'(0'(1'(1'(0'(0'(0'(0'(0'(1'(0'(0'(1'(0'(1'(0'(1'(1'(1'(0'(1'(0'(0'(1'(0'(0'(1'(0'(0'(0'(0'(0'(1'(1'(0'(0'(0'(0'(0'(0'(0'(0'(1'(1'(0'(1'(0'(1'(0'(1'(1'(1'(1'(1'(0'(1'(0'(0'(1'(1'(1'(1'(1'(0'(1'(1'(1'(1'(0'(1'(1'(1'(1'(1'(0'(0'(1'(1'(0'(0'(1'(1'(0'(1'(1'(0'(0'(0'(0'(0'(1'(0'(0'(1'(0'(1'(0'(1'(1'(1'(0'(1'(0'(0'(1'(0'(0'(1'(0'(0'(0'(0'(0'(1'(1'(0'(0'(0'(0'(0'(0'(0'(0'(1'(1'(0'(1'(0'(1'(0'(1'(1'(1'(1'(1'(0'(1'(0'(0'(1'(1'(1'(1'(1'(0'(1'(1'(0'(0'(0'(1'(0'(0'(0'(0'(1'(x1365))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (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'(1'(0'(0'(1'(1'(0'(1'(1'(0'(0'(0'(0'(0'(1'(0'(0'(1'(0'(1'(0'(1'(1'(1'(0'(1'(0'(0'(1'(0'(0'(1'(0'(0'(0'(0'(0'(1'(1'(0'(0'(0'(0'(0'(0'(0'(0'(1'(1'(0'(1'(0'(1'(0'(1'(1'(1'(1'(1'(0'(1'(0'(0'(1'(1'(1'(1'(1'(0'(1'(1'(1'(1'(0'(1'(1'(1'(1'(1'(0'(0'(1'(1'(0'(0'(1'(1'(0'(1'(1'(0'(0'(0'(0'(0'(1'(0'(0'(1'(0'(1'(0'(1'(1'(1'(0'(1'(0'(0'(1'(0'(0'(1'(0'(0'(0'(0'(0'(1'(1'(0'(0'(0'(0'(0'(0'(0'(0'(1'(1'(0'(1'(0'(1'(0'(1'(0'(0'(0'(0'(0'(0'(1'(1'(0'(1'(0'(1'(0'(1'(0'(1'(1'(1'(0'(0'(1'(1'(0'(1'(1'(x1362))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (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'(1'(0'(0'(1'(1'(0'(1'(1'(0'(0'(0'(0'(0'(1'(0'(0'(1'(0'(1'(0'(1'(1'(1'(0'(1'(0'(0'(1'(0'(0'(1'(0'(0'(0'(0'(0'(1'(1'(0'(0'(0'(0'(0'(0'(0'(0'(1'(1'(0'(1'(0'(1'(0'(1'(1'(1'(1'(1'(0'(1'(0'(0'(1'(1'(1'(1'(1'(0'(1'(1'(1'(1'(0'(1'(1'(1'(1'(1'(0'(0'(1'(1'(0'(0'(1'(1'(0'(1'(1'(0'(0'(0'(0'(0'(1'(0'(0'(1'(0'(1'(0'(1'(1'(1'(0'(1'(0'(0'(1'(0'(0'(0'(1'(0'(0'(0'(1'(0'(0'(0'(0'(1'(0'(1'(1'(0'(1'(0'(1'(1'(1'(0'(1'(1'(0'(0'(1'(0'(0'(1'(0'(1'(1'(0'(1'(0'(1'(0'(0'(1'(0'(1'(1'(0'(1'(0'(1'(0'(0'(1'(0'(0'(0'(0'(0'(x1367)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: x1367 >= 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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:|: 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'(1'(0'(0'(1'(1'(0'(1'(1'(0'(0'(0'(0'(0'(1'(0'(0'(1'(0'(1'(0'(1'(1'(1'(0'(1'(0'(0'(1'(0'(0'(1'(0'(0'(0'(0'(0'(1'(1'(0'(0'(0'(0'(0'(0'(0'(0'(1'(1'(0'(1'(0'(1'(0'(1'(1'(1'(1'(1'(0'(1'(0'(0'(1'(1'(1'(1'(1'(0'(1'(1'(1'(1'(0'(1'(1'(0'(1'(0'(1 + x1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + 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0'(0'(1'(1'(0'(0'(1'(1'(0'(1'(1'(0'(0'(0'(0'(0'(1'(0'(0'(1'(0'(1'(0'(1'(1'(1'(0'(1'(0'(0'(1'(0'(0'(1'(0'(0'(0'(0'(0'(1'(1'(0'(0'(0'(0'(0'(0'(0'(0'(1'(1'(0'(1'(0'(1'(0'(1'(1'(1'(1'(1'(0'(1'(0'(0'(1'(1'(1'(1'(1'(0'(1'(1'(0'(0'(0'(1'(0'(1'(0'(1'(1'(1'(0'(0'(0'(1'(1'(1'(0'(0'(1'(1'(0'(1'(0'(0'(0'(0'(0'(0'(1'(1'(0'(1'(0'(1'(0'(0'(0'(0'(1'(1'(1'(1'(0'(1'(1'(1'(0'(0'(0'(1'(1'(0'(1'(0'(0'(0'(0'(0'(1'(1'(0'(1'(1'(0'(1'(1'(1'(0'(0'(0'(0'(0'(1'(1'(1'(0'(0'(1'(1'(0'(0'(0'(1'(1'(0'(1'(0'(1'(1'(1'(x1109))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (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'(1'(0'(0'(1'(1'(0'(1'(1'(0'(0'(0'(0'(0'(1'(0'(0'(1'(0'(1'(0'(1'(1'(1'(0'(1'(0'(0'(1'(0'(0'(1'(0'(0'(0'(0'(0'(1'(1'(0'(0'(0'(0'(0'(0'(0'(0'(1'(1'(0'(1'(0'(1'(0'(1'(1'(1'(1'(1'(0'(1'(0'(0'(1'(1'(1'(1'(1'(0'(1'(1'(0'(0'(0'(1'(0'(1'(0'(1'(1'(1'(0'(0'(0'(1'(1'(1'(0'(0'(1'(1'(0'(1'(0'(0'(0'(0'(0'(0'(1'(1'(0'(1'(0'(1'(0'(0'(0'(0'(1'(1'(1'(1'(0'(1'(1'(1'(0'(0'(0'(1'(1'(0'(1'(0'(0'(0'(0'(0'(1'(1'(0'(1'(1'(0'(1'(1'(1'(0'(0'(0'(0'(0'(1'(1'(1'(0'(0'(1'(1'(0'(0'(0'(1'(1'(0'(1'(0'(1'(1'(1'(x1223))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: x1223 >= 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 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0'(0'(1'(1'(0'(0'(1'(1'(0'(1'(1'(0'(0'(0'(0'(0'(1'(0'(0'(1'(0'(1'(0'(1'(1'(1'(0'(1'(0'(0'(1'(0'(0'(1'(0'(0'(0'(0'(0'(1'(1'(0'(0'(0'(0'(0'(0'(0'(0'(1'(1'(0'(1'(0'(1'(0'(1'(1'(1'(1'(1'(0'(1'(0'(0'(1'(1'(1'(1'(1'(0'(1'(1'(0'(0'(0'(1'(0'(1'(0'(1'(0'(0'(1'(1'(1'(1'(1'(0'(1'(1'(1'(1'(0'(1'(0'(1'(1'(0'(1'(0'(0'(1'(1'(1'(1'(0'(0'(0'(1'(0'(0'(1'(1'(1'(1'(0'(0'(1'(1'(0'(1'(0'(1'(1'(1'(0'(0'(0'(1'(0'(0'(1'(1'(1'(0'(0'(0'(0'(1'(1'(0'(0'(0'(1'(0'(0'(1'(0'(0'(0'(0'(0'(1'(1'(1'(0'(0'(0'(0'(0'(0'(1'(x1112))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (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'(1'(0'(0'(1'(1'(0'(1'(1'(0'(0'(0'(0'(0'(1'(0'(0'(1'(0'(1'(0'(1'(1'(1'(0'(1'(0'(0'(1'(0'(0'(1'(0'(0'(0'(0'(0'(1'(1'(0'(0'(0'(0'(0'(0'(0'(0'(1'(1'(0'(1'(0'(1'(0'(1'(1'(1'(1'(1'(0'(1'(0'(0'(1'(1'(1'(1'(1'(0'(1'(1'(0'(0'(0'(1'(0'(1'(0'(1'(0'(0'(1'(1'(1'(1'(1'(0'(1'(1'(1'(1'(0'(1'(0'(1'(1'(0'(1'(0'(0'(1'(1'(1'(1'(0'(0'(0'(1'(0'(0'(1'(1'(1'(1'(0'(0'(1'(1'(0'(1'(0'(1'(1'(1'(0'(0'(0'(1'(0'(0'(1'(1'(1'(0'(0'(0'(0'(1'(1'(0'(0'(0'(1'(0'(0'(1'(0'(0'(0'(0'(0'(1'(1'(1'(0'(0'(0'(0'(0'(0'(1'(x1226))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (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'(1'(0'(0'(1'(1'(0'(1'(1'(0'(0'(0'(0'(0'(1'(0'(0'(1'(0'(1'(0'(1'(1'(1'(0'(1'(0'(0'(1'(0'(0'(1'(0'(0'(0'(0'(0'(1'(1'(0'(0'(0'(0'(0'(0'(0'(0'(1'(1'(0'(1'(0'(1'(0'(1'(1'(1'(1'(1'(0'(1'(0'(0'(1'(1'(1'(1'(1'(0'(1'(1'(0'(0'(0'(1'(0'(1'(0'(1'(0'(0'(1'(1'(0'(0'(1'(1'(0'(1'(1'(0'(0'(0'(0'(0'(1'(0'(0'(1'(0'(1'(0'(1'(1'(1'(0'(1'(0'(0'(1'(0'(0'(1'(0'(0'(0'(0'(0'(1'(1'(0'(0'(0'(0'(0'(0'(0'(0'(1'(1'(0'(1'(0'(1'(0'(1'(1'(1'(1'(1'(0'(1'(0'(0'(1'(1'(1'(1'(1'(0'(1'(1'(0'(0'(0'(1'(0'(0'(0'(0'(1'(x1111))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (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'(1'(0'(0'(1'(1'(0'(1'(1'(0'(0'(0'(0'(0'(1'(0'(0'(1'(0'(1'(0'(1'(1'(1'(0'(1'(0'(0'(1'(0'(0'(1'(0'(0'(0'(0'(0'(1'(1'(0'(0'(0'(0'(0'(0'(0'(0'(1'(1'(0'(1'(0'(1'(0'(1'(1'(1'(1'(1'(0'(1'(0'(0'(1'(1'(1'(1'(1'(0'(1'(1'(0'(0'(0'(1'(0'(1'(0'(1'(0'(0'(1'(1'(0'(0'(1'(1'(0'(1'(1'(0'(0'(0'(0'(0'(1'(0'(0'(1'(0'(1'(0'(1'(1'(1'(0'(1'(0'(0'(1'(0'(0'(1'(0'(0'(0'(0'(0'(1'(1'(0'(0'(0'(0'(0'(0'(0'(0'(1'(1'(0'(1'(0'(1'(0'(1'(1'(1'(1'(1'(0'(1'(0'(0'(1'(1'(1'(1'(1'(0'(1'(1'(0'(0'(0'(1'(0'(0'(0'(0'(1'(x1113))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: x1113 >= 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 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0'(0'(1'(1'(0'(0'(1'(1'(0'(1'(1'(0'(0'(0'(0'(0'(1'(0'(0'(1'(0'(1'(0'(1'(1'(1'(0'(1'(0'(0'(1'(0'(0'(1'(0'(0'(0'(0'(0'(1'(1'(0'(0'(0'(0'(0'(0'(0'(0'(1'(1'(0'(1'(0'(1'(0'(1'(1'(1'(1'(1'(0'(1'(0'(0'(1'(1'(1'(1'(1'(0'(1'(1'(0'(0'(0'(1'(0'(1'(0'(1'(0'(0'(1'(1'(0'(0'(1'(1'(0'(1'(1'(0'(0'(0'(0'(0'(1'(0'(0'(1'(0'(1'(0'(1'(1'(1'(0'(1'(0'(0'(1'(0'(0'(1'(0'(0'(0'(0'(0'(1'(1'(0'(0'(0'(0'(0'(0'(0'(0'(1'(1'(0'(1'(0'(1'(0'(1'(1'(1'(1'(1'(0'(1'(0'(0'(1'(1'(1'(1'(1'(0'(1'(1'(0'(0'(0'(1'(0'(0'(0'(0'(1'(x1225))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (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'(1'(0'(0'(1'(1'(0'(1'(1'(0'(0'(0'(0'(0'(1'(0'(0'(1'(0'(1'(0'(1'(1'(1'(0'(1'(0'(0'(1'(0'(0'(1'(0'(0'(0'(0'(0'(1'(1'(0'(0'(0'(0'(0'(0'(0'(0'(1'(1'(0'(1'(0'(1'(0'(1'(1'(1'(1'(1'(0'(1'(0'(0'(1'(1'(1'(1'(1'(0'(1'(1'(0'(0'(0'(1'(0'(1'(0'(1'(0'(0'(1'(1'(0'(0'(1'(1'(0'(1'(1'(0'(0'(0'(0'(0'(1'(0'(0'(1'(0'(1'(0'(1'(1'(1'(0'(1'(0'(0'(1'(0'(0'(1'(0'(0'(0'(0'(0'(1'(1'(0'(0'(0'(0'(0'(0'(0'(0'(1'(1'(0'(1'(0'(1'(0'(1'(1'(1'(1'(1'(0'(1'(0'(0'(1'(1'(1'(1'(1'(0'(1'(1'(0'(0'(0'(1'(0'(0'(0'(0'(1'(x1227))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: x1227 >= 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 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0'(0'(1'(1'(0'(0'(1'(1'(0'(1'(1'(0'(0'(0'(0'(0'(1'(0'(0'(1'(0'(1'(0'(1'(1'(1'(0'(1'(0'(0'(1'(0'(0'(1'(0'(0'(0'(0'(0'(1'(1'(0'(0'(0'(0'(0'(0'(0'(0'(1'(1'(0'(1'(0'(1'(0'(1'(1'(1'(1'(1'(0'(1'(0'(0'(1'(1'(1'(1'(1'(0'(1'(1'(0'(0'(0'(1'(0'(1'(0'(1'(0'(0'(1'(1'(0'(0'(1'(1'(0'(1'(1'(0'(0'(0'(0'(0'(1'(0'(0'(1'(0'(1'(0'(1'(1'(1'(0'(1'(0'(0'(1'(0'(0'(1'(0'(0'(0'(0'(0'(1'(1'(0'(0'(0'(0'(0'(0'(0'(0'(1'(1'(0'(1'(0'(1'(0'(1'(0'(0'(0'(0'(0'(0'(1'(1'(0'(1'(0'(1'(0'(1'(0'(1'(1'(1'(0'(0'(1'(1'(0'(1'(1'(x1110))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (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'(1'(0'(0'(1'(1'(0'(1'(1'(0'(0'(0'(0'(0'(1'(0'(0'(1'(0'(1'(0'(1'(1'(1'(0'(1'(0'(0'(1'(0'(0'(1'(0'(0'(0'(0'(0'(1'(1'(0'(0'(0'(0'(0'(0'(0'(0'(1'(1'(0'(1'(0'(1'(0'(1'(1'(1'(1'(1'(0'(1'(0'(0'(1'(1'(1'(1'(1'(0'(1'(1'(0'(0'(0'(1'(0'(1'(0'(1'(0'(0'(1'(1'(0'(0'(1'(1'(0'(1'(1'(0'(0'(0'(0'(0'(1'(0'(0'(1'(0'(1'(0'(1'(1'(1'(0'(1'(0'(0'(1'(0'(0'(1'(0'(0'(0'(0'(0'(1'(1'(0'(0'(0'(0'(0'(0'(0'(0'(1'(1'(0'(1'(0'(1'(0'(1'(0'(0'(0'(0'(0'(0'(1'(1'(0'(1'(0'(1'(0'(1'(0'(1'(1'(1'(0'(0'(1'(1'(0'(1'(1'(x1224))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: x1224 >= 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 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0'(0'(1'(1'(0'(0'(1'(1'(0'(1'(1'(0'(0'(0'(0'(0'(1'(0'(0'(1'(0'(1'(0'(1'(1'(1'(0'(1'(0'(0'(1'(0'(0'(1'(0'(0'(0'(0'(0'(1'(1'(0'(0'(0'(0'(0'(0'(0'(0'(1'(1'(0'(1'(0'(1'(0'(1'(1'(1'(1'(1'(0'(1'(0'(0'(1'(1'(1'(1'(1'(0'(1'(1'(0'(0'(0'(1'(0'(1'(0'(1'(0'(0'(1'(1'(0'(0'(1'(1'(0'(1'(1'(0'(0'(0'(0'(0'(1'(0'(0'(1'(0'(1'(0'(1'(1'(1'(0'(1'(0'(0'(1'(0'(0'(0'(1'(0'(0'(0'(1'(0'(0'(0'(0'(1'(0'(1'(1'(0'(1'(0'(1'(1'(1'(0'(1'(1'(0'(0'(1'(0'(0'(1'(0'(1'(1'(0'(1'(0'(1'(0'(0'(1'(0'(1'(1'(0'(1'(0'(1'(0'(0'(1'(0'(0'(0'(0'(0'(x1115)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: x1115 >= 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'(1'(1'(0'(0'(1'(1'(0'(1'(1'(0'(0'(0'(0'(0'(1'(0'(0'(1'(0'(1'(0'(1'(1'(1'(0'(1'(0'(0'(1'(0'(0'(1'(0'(0'(0'(0'(0'(1'(1'(0'(0'(0'(0'(0'(0'(0'(0'(1'(1'(0'(1'(0'(1'(0'(1'(1'(1'(1'(1'(0'(1'(0'(0'(1'(1'(1'(1'(1'(0'(1'(1'(0'(0'(0'(1'(0'(1'(0'(0'(0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (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 }-> 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0'(0'(1'(1'(0'(0'(1'(1'(0'(1'(1'(0'(0'(0'(0'(0'(1'(0'(0'(1'(0'(1'(0'(1'(1'(1'(0'(1'(0'(0'(1'(0'(0'(1'(0'(0'(0'(0'(0'(1'(1'(0'(0'(0'(0'(0'(0'(0'(0'(1'(1'(0'(1'(0'(1'(0'(1'(1'(1'(1'(1'(0'(1'(0'(0'(1'(1'(1'(1'(1'(0'(1'(0'(0'(1'(0'(1'(0'(1'(0'(0'(1'(1'(0'(0'(0'(1'(1'(1'(0'(0'(1'(1'(0'(1'(0'(0'(0'(0'(0'(0'(1'(1'(0'(1'(0'(1'(0'(0'(0'(0'(1'(1'(1'(1'(0'(1'(1'(1'(0'(0'(0'(1'(1'(0'(1'(0'(0'(0'(0'(0'(1'(1'(0'(1'(1'(0'(1'(1'(1'(0'(0'(0'(0'(0'(1'(1'(1'(0'(0'(1'(1'(0'(0'(0'(1'(1'(0'(1'(0'(1'(1'(1'(x1237))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (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'(1'(0'(0'(1'(1'(0'(1'(1'(0'(0'(0'(0'(0'(1'(0'(0'(1'(0'(1'(0'(1'(1'(1'(0'(1'(0'(0'(1'(0'(0'(1'(0'(0'(0'(0'(0'(1'(1'(0'(0'(0'(0'(0'(0'(0'(0'(1'(1'(0'(1'(0'(1'(0'(1'(1'(1'(1'(1'(0'(1'(0'(0'(1'(1'(1'(1'(1'(0'(1'(0'(0'(1'(0'(1'(0'(1'(0'(0'(0'(0'(1'(1'(0'(0'(1'(1'(0'(1'(1'(0'(0'(0'(0'(0'(1'(0'(0'(1'(0'(1'(0'(1'(1'(1'(0'(1'(0'(0'(1'(0'(0'(1'(0'(0'(0'(0'(0'(1'(1'(0'(0'(0'(0'(0'(0'(0'(0'(1'(1'(0'(1'(0'(1'(0'(1'(1'(1'(1'(1'(0'(1'(0'(0'(1'(1'(1'(1'(1'(0'(1'(1'(0'(0'(0'(1'(0'(0'(0'(0'(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 + (1 + (1 + (1 + (1 + 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0'(0'(1'(1'(0'(0'(1'(1'(0'(1'(1'(0'(0'(0'(0'(0'(1'(0'(0'(1'(0'(1'(0'(1'(1'(1'(0'(1'(0'(0'(1'(0'(0'(1'(0'(0'(0'(0'(0'(1'(1'(0'(0'(0'(0'(0'(0'(0'(0'(1'(1'(0'(1'(0'(1'(0'(1'(1'(1'(1'(1'(0'(1'(0'(0'(1'(1'(1'(1'(1'(0'(1'(0'(0'(1'(0'(1'(0'(1'(0'(0'(0'(0'(1'(1'(0'(0'(1'(1'(0'(1'(1'(0'(0'(0'(0'(0'(1'(0'(0'(1'(0'(1'(0'(1'(1'(1'(0'(1'(0'(0'(1'(0'(0'(1'(0'(0'(0'(0'(0'(1'(1'(0'(0'(0'(0'(0'(0'(0'(0'(1'(1'(0'(1'(0'(1'(0'(1'(1'(1'(1'(1'(0'(1'(0'(0'(1'(1'(1'(1'(1'(0'(1'(1'(0'(0'(0'(1'(0'(0'(0'(0'(1'(x1241))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: x1241 >= 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 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0'(0'(1'(1'(0'(0'(1'(1'(0'(1'(1'(0'(0'(0'(0'(0'(1'(0'(0'(1'(0'(1'(0'(1'(1'(1'(0'(1'(0'(0'(1'(0'(0'(1'(0'(0'(0'(0'(0'(1'(1'(0'(0'(0'(0'(0'(0'(0'(0'(1'(1'(0'(1'(0'(1'(0'(1'(1'(1'(1'(1'(0'(1'(0'(0'(1'(1'(1'(1'(1'(0'(1'(0'(0'(1'(0'(1'(0'(1'(0'(0'(0'(0'(1'(1'(0'(0'(1'(1'(0'(1'(1'(0'(0'(0'(0'(0'(1'(0'(0'(1'(0'(1'(0'(1'(1'(1'(0'(1'(0'(0'(1'(0'(0'(0'(1'(0'(0'(0'(1'(0'(0'(0'(0'(1'(0'(1'(1'(0'(1'(0'(1'(1'(1'(0'(1'(1'(0'(0'(1'(0'(0'(1'(0'(1'(1'(0'(1'(0'(1'(0'(0'(1'(0'(1'(1'(0'(1'(0'(1'(0'(0'(1'(0'(0'(0'(0'(0'(x1243)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: x1243 >= 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'(1'(1'(0'(0'(1'(1'(0'(1'(1'(0'(0'(0'(0'(0'(1'(0'(0'(1'(0'(1'(0'(1'(1'(1'(0'(1'(0'(0'(1'(0'(0'(1'(0'(0'(0'(0'(0'(1'(1'(0'(0'(0'(0'(0'(0'(0'(0'(1'(1'(0'(1'(0'(1'(0'(1'(1'(1'(1'(1'(0'(1'(0'(0'(1'(1'(1'(1'(1'(0'(1'(0'(0'(1'(0'(1'(0'(1'(0'(0'(0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) 0'(z) -{ 1 }-> 0'(0'(1'(1'(0'(0'(1'(1'(0'(1'(1'(0'(0'(0'(0'(0'(1'(0'(0'(1'(0'(1'(0'(1'(1'(1'(0'(1'(0'(0'(1'(0'(0'(1'(0'(0'(0'(0'(0'(1'(1'(0'(0'(0'(0'(0'(0'(0'(0'(1'(1'(0'(1'(0'(1'(0'(1'(1'(1'(1'(1'(0'(1'(0'(0'(1'(1'(1'(1'(1'(0'(1'(0'(0'(1'(0'(1'(0'(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'(1'(0'(0'(1'(1'(0'(1'(1'(0'(0'(0'(0'(0'(1'(0'(0'(1'(0'(1'(0'(1'(1'(1'(0'(1'(0'(0'(1'(0'(0'(1'(0'(0'(0'(0'(0'(1'(1'(0'(0'(0'(0'(0'(0'(0'(0'(1'(1'(0'(1'(0'(1'(0'(1'(1'(1'(1'(1'(0'(1'(0'(0'(1'(0'(0'(1'(0'(0'(1'(1'(0'(0'(1'(1'(0'(0'(0'(1'(1'(0'(x1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) 0'(z) -{ 1 }-> 0'(0'(1'(1'(0'(0'(1'(1'(0'(1'(1'(0'(0'(0'(0'(0'(1'(0'(0'(1'(0'(1'(0'(1'(1'(1'(0'(1'(0'(0'(1'(0'(0'(1'(0'(0'(0'(0'(0'(1'(1'(0'(0'(0'(0'(0'(0'(0'(0'(1'(1'(0'(1'(0'(1'(0'(1'(1'(1'(0'(1'(0'(0'(1'(1'(1'(0'(0'(0'(0'(1'(0'(0'(1'(1'(1'(1'(1'(0'(0'(0'(1'(0'(0'(0'(x1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (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'(1'(1'(0'(0'(1'(1'(0'(1'(1'(0'(0'(0'(0'(0'(1'(0'(0'(1'(0'(1'(0'(1'(1'(1'(0'(1'(0'(0'(1'(0'(0'(1'(0'(0'(0'(0'(0'(1'(1'(0'(0'(0'(0'(0'(0'(0'(0'(1'(1'(0'(1'(0'(1'(0'(1'(0'(0'(0'(0'(0'(0'(1'(1'(0'(1'(0'(1'(0'(1'(0'(1'(1'(1'(0'(0'(1'(1'(1'(1'(1'(1'(0'(0'(0'(1'(1'(1'(0'(0'(1'(1'(0'(1'(0'(0'(0'(0'(0'(0'(1'(1'(0'(1'(0'(1'(0'(0'(0'(0'(1'(1'(1'(1'(0'(1'(1'(1'(0'(0'(0'(1'(1'(0'(1'(0'(0'(0'(0'(0'(1'(1'(0'(1'(1'(0'(1'(1'(1'(0'(0'(0'(0'(0'(1'(1'(1'(0'(0'(1'(1'(0'(0'(0'(1'(1'(0'(1'(0'(1'(1'(1'(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 + (1 + 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0'(0'(1'(1'(0'(0'(1'(1'(0'(1'(1'(0'(0'(0'(0'(0'(1'(0'(0'(1'(0'(1'(0'(1'(1'(1'(0'(1'(0'(0'(1'(0'(0'(1'(0'(0'(0'(0'(0'(1'(1'(0'(0'(0'(0'(0'(0'(0'(0'(1'(1'(0'(1'(0'(1'(0'(1'(0'(0'(0'(0'(0'(0'(1'(1'(0'(1'(0'(1'(0'(1'(0'(1'(1'(1'(0'(0'(1'(1'(1'(1'(1'(1'(0'(0'(0'(1'(1'(1'(0'(0'(1'(1'(0'(1'(0'(0'(0'(0'(0'(0'(1'(1'(0'(1'(0'(1'(0'(0'(0'(0'(1'(1'(1'(1'(0'(1'(1'(1'(0'(0'(0'(1'(1'(0'(1'(0'(0'(0'(0'(0'(1'(1'(0'(1'(1'(0'(1'(1'(1'(0'(0'(0'(0'(0'(1'(1'(1'(0'(0'(1'(1'(0'(0'(0'(1'(1'(0'(1'(0'(1'(1'(1'(x1368))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: x1368 >= 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 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0'(0'(1'(1'(0'(0'(1'(1'(0'(1'(1'(0'(0'(0'(0'(0'(1'(0'(0'(1'(0'(1'(0'(1'(1'(1'(0'(1'(0'(0'(1'(0'(0'(1'(0'(0'(0'(0'(0'(1'(1'(0'(0'(0'(0'(0'(0'(0'(0'(1'(1'(0'(1'(0'(1'(0'(1'(0'(0'(0'(0'(0'(0'(1'(1'(0'(1'(0'(1'(0'(1'(0'(1'(1'(1'(0'(0'(1'(1'(1'(1'(1'(1'(0'(0'(0'(1'(1'(1'(0'(0'(1'(1'(0'(1'(0'(0'(0'(0'(0'(0'(1'(1'(0'(1'(0'(1'(0'(0'(0'(0'(1'(1'(1'(1'(0'(1'(1'(1'(0'(0'(0'(1'(1'(0'(1'(0'(0'(0'(0'(0'(1'(1'(0'(1'(1'(0'(1'(1'(1'(0'(0'(0'(0'(0'(1'(1'(1'(0'(0'(1'(1'(0'(0'(0'(1'(1'(0'(1'(0'(1'(1'(1'(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 + (1 + 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0'(0'(1'(1'(0'(0'(1'(1'(0'(1'(1'(0'(0'(0'(0'(0'(1'(0'(0'(1'(0'(1'(0'(1'(1'(1'(0'(1'(0'(0'(1'(0'(0'(1'(0'(0'(0'(0'(0'(1'(1'(0'(0'(0'(0'(0'(0'(0'(0'(1'(1'(0'(1'(0'(1'(0'(1'(0'(0'(0'(0'(0'(0'(1'(1'(0'(1'(0'(1'(0'(1'(0'(1'(1'(1'(0'(0'(1'(1'(1'(1'(1'(1'(0'(0'(0'(1'(1'(1'(0'(0'(1'(1'(0'(1'(0'(0'(0'(0'(0'(0'(1'(1'(0'(1'(0'(1'(0'(0'(0'(0'(1'(1'(1'(1'(0'(1'(1'(1'(0'(0'(0'(1'(1'(0'(1'(0'(0'(0'(0'(0'(1'(1'(0'(1'(1'(0'(1'(1'(1'(0'(0'(0'(0'(0'(1'(1'(1'(0'(0'(1'(1'(0'(0'(0'(1'(1'(0'(1'(0'(1'(1'(1'(x1389))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: x1389 >= 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 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0'(0'(1'(1'(0'(0'(1'(1'(0'(1'(1'(0'(0'(0'(0'(0'(1'(0'(0'(1'(0'(1'(0'(1'(1'(1'(0'(1'(0'(0'(1'(0'(0'(1'(0'(0'(0'(0'(0'(1'(1'(0'(0'(0'(0'(0'(0'(0'(0'(1'(1'(0'(1'(0'(1'(0'(1'(0'(0'(0'(0'(0'(0'(1'(1'(0'(1'(0'(1'(0'(1'(0'(1'(1'(1'(0'(0'(1'(1'(1'(1'(0'(0'(1'(1'(1'(1'(1'(0'(1'(1'(1'(1'(0'(1'(0'(1'(1'(0'(1'(0'(0'(1'(1'(1'(1'(0'(0'(0'(1'(0'(0'(1'(1'(1'(1'(0'(0'(1'(1'(0'(1'(0'(1'(1'(1'(0'(0'(0'(1'(0'(0'(1'(1'(1'(0'(0'(0'(0'(1'(1'(0'(0'(0'(1'(0'(0'(1'(0'(0'(0'(0'(0'(1'(1'(1'(0'(0'(0'(0'(0'(0'(1'(x1300))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: x1300 >= 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 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0'(0'(1'(1'(0'(0'(1'(1'(0'(1'(1'(0'(0'(0'(0'(0'(1'(0'(0'(1'(0'(1'(0'(1'(1'(1'(0'(1'(0'(0'(1'(0'(0'(1'(0'(0'(0'(0'(0'(1'(1'(0'(0'(0'(0'(0'(0'(0'(0'(1'(1'(0'(1'(0'(1'(0'(1'(0'(0'(0'(0'(0'(0'(1'(1'(0'(1'(0'(1'(0'(1'(0'(1'(1'(1'(0'(0'(1'(1'(1'(1'(0'(0'(1'(1'(1'(1'(1'(0'(1'(1'(1'(1'(0'(1'(0'(1'(1'(0'(1'(0'(0'(1'(1'(1'(1'(0'(0'(0'(1'(0'(0'(1'(1'(1'(1'(0'(0'(1'(1'(0'(1'(0'(1'(1'(1'(0'(0'(0'(1'(0'(0'(1'(1'(1'(0'(0'(0'(0'(1'(1'(0'(0'(0'(1'(0'(0'(1'(0'(0'(0'(0'(0'(1'(1'(1'(0'(0'(0'(0'(0'(0'(1'(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 + (1 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0'(0'(1'(1'(0'(0'(1'(1'(0'(1'(1'(0'(0'(0'(0'(0'(1'(0'(0'(1'(0'(1'(0'(1'(1'(1'(0'(1'(0'(0'(1'(0'(0'(1'(0'(0'(0'(0'(0'(1'(1'(0'(0'(0'(0'(0'(0'(0'(0'(1'(1'(0'(1'(0'(1'(0'(1'(0'(0'(0'(0'(0'(0'(1'(1'(0'(1'(0'(1'(0'(1'(0'(1'(1'(1'(0'(0'(1'(1'(1'(1'(0'(0'(1'(1'(1'(1'(1'(0'(1'(1'(1'(1'(0'(1'(0'(1'(1'(0'(1'(0'(0'(1'(1'(1'(1'(0'(0'(0'(1'(0'(0'(1'(1'(1'(1'(0'(0'(1'(1'(0'(1'(0'(1'(1'(1'(0'(0'(0'(1'(0'(0'(1'(1'(1'(0'(0'(0'(0'(1'(1'(0'(0'(0'(1'(0'(0'(1'(0'(0'(0'(0'(0'(1'(1'(1'(0'(0'(0'(0'(0'(0'(1'(x1378))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: x1378 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (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'(1'(0'(0'(1'(1'(0'(1'(1'(0'(0'(0'(0'(0'(1'(0'(0'(1'(0'(1'(0'(1'(1'(1'(0'(1'(0'(0'(1'(0'(0'(1'(0'(0'(0'(0'(0'(1'(1'(0'(0'(0'(0'(0'(0'(0'(0'(1'(1'(0'(1'(0'(1'(0'(1'(0'(0'(0'(0'(0'(0'(1'(1'(0'(1'(0'(1'(0'(1'(0'(1'(1'(1'(0'(0'(1'(1'(1'(1'(0'(0'(1'(1'(1'(1'(1'(0'(1'(1'(1'(1'(0'(1'(0'(1'(1'(0'(1'(0'(0'(1'(1'(1'(1'(0'(0'(0'(1'(0'(0'(1'(1'(1'(1'(0'(0'(1'(1'(0'(1'(0'(1'(1'(1'(0'(0'(0'(1'(0'(0'(1'(1'(1'(0'(0'(0'(0'(1'(1'(0'(0'(0'(1'(0'(0'(1'(0'(0'(0'(0'(0'(1'(1'(1'(0'(0'(0'(0'(0'(0'(1'(x1392))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: x1392 >= 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 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0'(0'(1'(1'(0'(0'(1'(1'(0'(1'(1'(0'(0'(0'(0'(0'(1'(0'(0'(1'(0'(1'(0'(1'(1'(1'(0'(1'(0'(0'(1'(0'(0'(1'(0'(0'(0'(0'(0'(1'(1'(0'(0'(0'(0'(0'(0'(0'(0'(1'(1'(0'(1'(0'(1'(0'(1'(0'(0'(0'(0'(0'(0'(1'(1'(0'(1'(0'(1'(0'(1'(0'(1'(1'(1'(0'(0'(1'(1'(1'(1'(0'(0'(1'(1'(0'(0'(1'(1'(0'(1'(1'(0'(0'(0'(0'(0'(1'(0'(0'(1'(0'(1'(0'(1'(1'(1'(0'(1'(0'(0'(1'(0'(0'(1'(0'(0'(0'(0'(0'(1'(1'(0'(0'(0'(0'(0'(0'(0'(0'(1'(1'(0'(1'(0'(1'(0'(1'(1'(1'(1'(1'(0'(1'(0'(0'(1'(1'(1'(1'(1'(0'(1'(1'(1'(1'(0'(1'(1'(1'(1'(1'(1'(x1302))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: x1302 >= 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 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0'(0'(1'(1'(0'(0'(1'(1'(0'(1'(1'(0'(0'(0'(0'(0'(1'(0'(0'(1'(0'(1'(0'(1'(1'(1'(0'(1'(0'(0'(1'(0'(0'(1'(0'(0'(0'(0'(0'(1'(1'(0'(0'(0'(0'(0'(0'(0'(0'(1'(1'(0'(1'(0'(1'(0'(1'(0'(0'(0'(0'(0'(0'(1'(1'(0'(1'(0'(1'(0'(1'(0'(1'(1'(1'(0'(0'(1'(1'(1'(1'(0'(0'(1'(1'(0'(0'(1'(1'(0'(1'(1'(0'(0'(0'(0'(0'(1'(0'(0'(1'(0'(1'(0'(1'(1'(1'(0'(1'(0'(0'(1'(0'(0'(1'(0'(0'(0'(0'(0'(1'(1'(0'(0'(0'(0'(0'(0'(0'(0'(1'(1'(0'(1'(0'(1'(0'(1'(1'(1'(1'(1'(0'(1'(0'(0'(1'(1'(1'(1'(1'(0'(1'(1'(1'(1'(0'(1'(1'(1'(1'(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 + (1 + (1 + 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0'(0'(1'(1'(0'(0'(1'(1'(0'(1'(1'(0'(0'(0'(0'(0'(1'(0'(0'(1'(0'(1'(0'(1'(1'(1'(0'(1'(0'(0'(1'(0'(0'(1'(0'(0'(0'(0'(0'(1'(1'(0'(0'(0'(0'(0'(0'(0'(0'(1'(1'(0'(1'(0'(1'(0'(1'(0'(0'(0'(0'(0'(0'(1'(1'(0'(1'(0'(1'(0'(1'(0'(1'(1'(1'(0'(0'(1'(1'(1'(1'(0'(0'(1'(1'(0'(0'(1'(1'(0'(1'(1'(0'(0'(0'(0'(0'(1'(0'(0'(1'(0'(1'(0'(1'(1'(1'(0'(1'(0'(0'(1'(0'(0'(1'(0'(0'(0'(0'(0'(1'(1'(0'(0'(0'(0'(0'(0'(0'(0'(1'(1'(0'(1'(0'(1'(0'(1'(1'(1'(1'(1'(0'(1'(0'(0'(1'(1'(1'(1'(1'(0'(1'(1'(1'(1'(0'(1'(1'(1'(1'(1'(1'(x1380))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: x1380 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (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'(1'(0'(0'(1'(1'(0'(1'(1'(0'(0'(0'(0'(0'(1'(0'(0'(1'(0'(1'(0'(1'(1'(1'(0'(1'(0'(0'(1'(0'(0'(1'(0'(0'(0'(0'(0'(1'(1'(0'(0'(0'(0'(0'(0'(0'(0'(1'(1'(0'(1'(0'(1'(0'(1'(0'(0'(0'(0'(0'(0'(1'(1'(0'(1'(0'(1'(0'(1'(0'(1'(1'(1'(0'(0'(1'(1'(1'(1'(0'(0'(1'(1'(0'(0'(1'(1'(0'(1'(1'(0'(0'(0'(0'(0'(1'(0'(0'(1'(0'(1'(0'(1'(1'(1'(0'(1'(0'(0'(1'(0'(0'(1'(0'(0'(0'(0'(0'(1'(1'(0'(0'(0'(0'(0'(0'(0'(0'(1'(1'(0'(1'(0'(1'(0'(1'(0'(0'(0'(0'(0'(0'(1'(1'(0'(1'(0'(1'(0'(1'(0'(1'(1'(1'(0'(0'(1'(1'(0'(1'(1'(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 + (1 + 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0'(0'(1'(1'(0'(0'(1'(1'(0'(1'(1'(0'(0'(0'(0'(0'(1'(0'(0'(1'(0'(1'(0'(1'(1'(1'(0'(1'(0'(0'(1'(0'(0'(1'(0'(0'(0'(0'(0'(1'(1'(0'(0'(0'(0'(0'(0'(0'(0'(1'(1'(0'(1'(0'(1'(0'(1'(0'(0'(0'(0'(0'(0'(1'(1'(0'(1'(0'(1'(0'(1'(0'(1'(1'(1'(0'(0'(1'(1'(1'(1'(0'(0'(1'(1'(0'(0'(1'(1'(0'(1'(1'(0'(0'(0'(0'(0'(1'(0'(0'(1'(0'(1'(0'(1'(1'(1'(0'(1'(0'(0'(1'(0'(0'(1'(0'(0'(0'(0'(0'(1'(1'(0'(0'(0'(0'(0'(0'(0'(0'(1'(1'(0'(1'(0'(1'(0'(1'(0'(0'(0'(0'(0'(0'(1'(1'(0'(1'(0'(1'(0'(1'(0'(1'(1'(1'(0'(0'(1'(1'(0'(1'(1'(x1390))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: x1390 >= 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 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0'(0'(1'(1'(0'(0'(1'(1'(0'(1'(1'(0'(0'(0'(0'(0'(1'(0'(0'(1'(0'(1'(0'(1'(1'(1'(0'(1'(0'(0'(1'(0'(0'(1'(0'(0'(0'(0'(0'(1'(1'(0'(0'(0'(0'(0'(0'(0'(0'(1'(1'(0'(1'(0'(1'(0'(1'(0'(0'(0'(0'(0'(0'(1'(1'(0'(1'(0'(1'(0'(1'(0'(1'(1'(1'(0'(0'(1'(1'(1'(1'(0'(0'(1'(1'(0'(0'(1'(1'(0'(1'(1'(0'(0'(0'(0'(0'(1'(0'(0'(1'(0'(1'(0'(1'(1'(1'(0'(1'(0'(0'(1'(0'(0'(0'(1'(0'(0'(0'(1'(0'(0'(0'(0'(1'(0'(1'(1'(0'(1'(0'(1'(1'(1'(0'(1'(1'(0'(0'(1'(0'(0'(1'(0'(1'(1'(0'(1'(0'(1'(0'(0'(1'(0'(1'(1'(0'(1'(0'(1'(0'(0'(1'(0'(0'(0'(0'(0'(x1303)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (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'(1'(0'(0'(1'(1'(0'(1'(1'(0'(0'(0'(0'(0'(1'(0'(0'(1'(0'(1'(0'(1'(1'(1'(0'(1'(0'(0'(1'(0'(0'(1'(0'(0'(0'(0'(0'(1'(1'(0'(0'(0'(0'(0'(0'(0'(0'(1'(1'(0'(1'(0'(1'(0'(1'(0'(0'(0'(0'(0'(0'(1'(1'(0'(1'(0'(1'(0'(1'(0'(1'(1'(1'(0'(0'(1'(1'(1'(1'(0'(0'(1'(1'(0'(0'(1'(1'(0'(1'(1'(0'(0'(0'(0'(0'(1'(0'(0'(1'(0'(1'(0'(1'(1'(1'(0'(1'(0'(0'(1'(0'(0'(0'(1'(0'(0'(0'(1'(0'(0'(0'(0'(1'(0'(1'(1'(0'(1'(0'(1'(1'(1'(0'(1'(1'(0'(0'(1'(0'(0'(1'(0'(1'(1'(0'(1'(0'(1'(0'(0'(1'(0'(1'(1'(0'(1'(0'(1'(0'(0'(1'(0'(0'(0'(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 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0'(0'(1'(1'(0'(0'(1'(1'(0'(1'(1'(0'(0'(0'(0'(0'(1'(0'(0'(1'(0'(1'(0'(1'(1'(1'(0'(1'(0'(0'(1'(0'(0'(1'(0'(0'(0'(0'(0'(1'(1'(0'(0'(0'(0'(0'(0'(0'(0'(1'(1'(0'(1'(0'(1'(0'(1'(0'(0'(0'(0'(0'(0'(1'(1'(0'(1'(0'(1'(0'(1'(0'(1'(1'(1'(0'(0'(1'(1'(1'(1'(0'(0'(1'(1'(0'(0'(1'(1'(0'(1'(1'(0'(0'(0'(0'(0'(1'(0'(0'(1'(0'(1'(0'(1'(1'(1'(0'(1'(0'(0'(1'(0'(0'(0'(1'(0'(0'(0'(1'(0'(0'(0'(0'(1'(0'(1'(1'(0'(1'(0'(1'(1'(1'(0'(1'(1'(0'(0'(1'(0'(0'(1'(0'(1'(1'(0'(1'(0'(1'(0'(0'(1'(0'(1'(1'(0'(1'(0'(1'(0'(0'(1'(0'(0'(0'(0'(0'(x1381)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: x1381 >= 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'(1'(1'(0'(0'(1'(1'(0'(1'(1'(0'(0'(0'(0'(0'(1'(0'(0'(1'(0'(1'(0'(1'(1'(1'(0'(1'(0'(0'(1'(0'(0'(1'(0'(0'(0'(0'(0'(1'(1'(0'(0'(0'(0'(0'(0'(0'(0'(1'(1'(0'(1'(0'(1'(0'(1'(0'(0'(0'(0'(0'(0'(1'(1'(0'(1'(0'(1'(0'(1'(0'(1'(1'(1'(0'(0'(1'(1'(1'(1'(0'(0'(1'(1'(0'(0'(1'(1'(0'(1'(1'(0'(0'(0'(0'(0'(1'(0'(0'(1'(0'(1'(0'(1'(1'(1'(0'(1'(0'(0'(1'(0'(0'(0'(1'(0'(0'(0'(1'(0'(0'(0'(0'(1'(0'(1'(1'(0'(1'(0'(1'(1'(1'(0'(1'(1'(0'(0'(1'(0'(0'(1'(0'(1'(1'(0'(1'(0'(1'(0'(0'(1'(0'(1'(1'(0'(1'(0'(1'(0'(0'(1'(0'(0'(0'(0'(0'(x1395)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (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'(1'(0'(0'(1'(1'(0'(1'(1'(0'(0'(0'(0'(0'(1'(0'(0'(1'(0'(1'(0'(1'(1'(1'(0'(1'(0'(0'(1'(0'(0'(1'(0'(0'(0'(0'(0'(1'(1'(0'(0'(0'(0'(0'(0'(0'(0'(1'(1'(0'(1'(0'(1'(0'(1'(0'(0'(0'(0'(0'(0'(1'(1'(0'(1'(0'(1'(0'(1'(0'(1'(1'(1'(0'(0'(1'(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 }-> 0'(0'(1'(1'(0'(0'(1'(1'(0'(1'(1'(0'(0'(0'(0'(0'(1'(0'(0'(1'(0'(1'(0'(1'(1'(1'(0'(1'(0'(0'(1'(0'(0'(1'(0'(0'(0'(0'(0'(1'(1'(0'(0'(0'(0'(0'(0'(0'(0'(1'(1'(0'(1'(0'(1'(0'(1'(0'(0'(0'(0'(0'(0'(1'(1'(0'(1'(0'(1'(0'(1'(0'(1'(1'(1'(0'(0'(1'(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) -{ 2 }-> 0'(0'(1'(1'(0'(0'(1'(1'(0'(1'(1'(0'(0'(0'(0'(0'(1'(0'(0'(1'(0'(1'(0'(1'(1'(0'(1'(0'(0'(1'(0'(0'(0'(0'(1'(1'(0'(1'(0'(1'(0'(1'(0'(0'(1'(1'(0'(0'(1'(0'(0'(1'(0'(1'(0'(1'(1'(1'(1'(0'(1'(0'(1'(0'(1'(1'(0'(0'(0'(0'(1'(1'(1'(0'(1'(0'(0'(0'(0'(0'(0'(1'(1'(0'(0'(0'(1'(1'(1'(0'(0'(1'(1'(0'(1'(0'(0'(0'(0'(0'(0'(1'(1'(0'(1'(0'(1'(0'(0'(0'(0'(1'(1'(1'(1'(0'(1'(1'(1'(0'(0'(0'(1'(1'(0'(1'(0'(0'(0'(0'(0'(1'(1'(0'(1'(1'(0'(1'(1'(1'(0'(0'(0'(0'(0'(1'(1'(1'(0'(0'(1'(1'(0'(0'(0'(1'(1'(0'(1'(0'(1'(1'(1'(x1354))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: x1354 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (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) -{ 2 }-> 0'(0'(1'(1'(0'(0'(1'(1'(0'(1'(1'(0'(0'(0'(0'(0'(1'(0'(0'(1'(0'(1'(0'(1'(1'(0'(1'(0'(0'(1'(0'(0'(0'(0'(1'(1'(0'(1'(0'(1'(0'(1'(0'(0'(1'(1'(0'(0'(1'(0'(0'(1'(0'(1'(0'(1'(1'(1'(1'(0'(1'(0'(1'(0'(1'(1'(0'(0'(0'(0'(1'(1'(1'(0'(1'(0'(0'(0'(0'(0'(0'(0'(0'(1'(1'(1'(1'(1'(0'(1'(1'(1'(1'(0'(1'(0'(1'(1'(0'(1'(0'(0'(1'(1'(1'(1'(0'(0'(0'(1'(0'(0'(1'(1'(1'(1'(0'(0'(1'(1'(0'(1'(0'(1'(1'(1'(0'(0'(0'(1'(0'(0'(1'(1'(1'(0'(0'(0'(0'(1'(1'(0'(0'(0'(1'(0'(0'(1'(0'(0'(0'(0'(0'(1'(1'(1'(0'(0'(0'(0'(0'(0'(1'(x1357))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: x1357 >= 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 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0'(0'(1'(1'(0'(0'(1'(1'(0'(1'(1'(0'(0'(0'(0'(0'(1'(0'(0'(1'(0'(1'(0'(1'(1'(0'(1'(0'(0'(1'(0'(0'(0'(0'(1'(1'(0'(1'(0'(1'(0'(1'(0'(0'(1'(1'(0'(0'(1'(0'(0'(1'(0'(1'(0'(1'(1'(1'(1'(0'(1'(0'(1'(0'(1'(1'(0'(0'(0'(0'(1'(1'(1'(0'(1'(0'(0'(0'(0'(0'(0'(0'(0'(1'(1'(0'(0'(1'(1'(0'(1'(1'(0'(0'(0'(0'(0'(1'(0'(0'(1'(0'(1'(0'(1'(1'(1'(0'(1'(0'(0'(1'(0'(0'(1'(0'(0'(0'(0'(0'(1'(1'(0'(0'(0'(0'(0'(0'(0'(0'(1'(1'(0'(1'(0'(1'(0'(1'(1'(1'(1'(1'(0'(1'(0'(0'(1'(1'(1'(1'(1'(0'(1'(1'(1'(1'(0'(1'(1'(1'(1'(1'(1'(x1359))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: x1359 >= 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 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0'(0'(1'(1'(0'(0'(1'(1'(0'(1'(1'(0'(0'(0'(0'(0'(1'(0'(0'(1'(0'(1'(0'(1'(1'(0'(1'(0'(0'(1'(0'(0'(0'(0'(1'(1'(0'(1'(0'(1'(0'(1'(0'(0'(1'(1'(0'(0'(1'(0'(0'(1'(0'(1'(0'(1'(1'(1'(1'(0'(1'(0'(1'(0'(1'(1'(0'(0'(0'(0'(1'(1'(1'(0'(1'(0'(0'(0'(0'(0'(0'(0'(0'(1'(1'(0'(0'(1'(1'(0'(1'(1'(0'(0'(0'(0'(0'(1'(0'(0'(1'(0'(1'(0'(1'(1'(1'(0'(1'(0'(0'(1'(0'(0'(1'(0'(0'(0'(0'(0'(1'(1'(0'(0'(0'(0'(0'(0'(0'(0'(1'(1'(0'(1'(0'(1'(0'(1'(1'(1'(1'(1'(0'(1'(0'(0'(1'(1'(1'(1'(1'(0'(1'(1'(0'(0'(0'(1'(0'(0'(0'(0'(1'(x1356))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (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'(1'(0'(0'(1'(1'(0'(1'(1'(0'(0'(0'(0'(0'(1'(0'(0'(1'(0'(1'(0'(1'(1'(0'(1'(0'(0'(1'(0'(0'(0'(0'(1'(1'(0'(1'(0'(1'(0'(1'(0'(0'(1'(1'(0'(0'(1'(0'(0'(1'(0'(1'(0'(1'(1'(1'(1'(0'(1'(0'(1'(0'(1'(1'(0'(0'(0'(0'(1'(1'(1'(0'(1'(0'(0'(0'(0'(0'(0'(0'(0'(1'(1'(0'(0'(1'(1'(0'(1'(1'(0'(0'(0'(0'(0'(1'(0'(0'(1'(0'(1'(0'(1'(1'(1'(0'(1'(0'(0'(1'(0'(0'(1'(0'(0'(0'(0'(0'(1'(1'(0'(0'(0'(0'(0'(0'(0'(0'(1'(1'(0'(1'(0'(1'(0'(1'(1'(1'(1'(1'(0'(1'(0'(0'(1'(1'(1'(1'(1'(0'(1'(1'(0'(0'(0'(1'(0'(0'(0'(0'(1'(x1358))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (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'(1'(0'(0'(1'(1'(0'(1'(1'(0'(0'(0'(0'(0'(1'(0'(0'(1'(0'(1'(0'(1'(1'(0'(1'(0'(0'(1'(0'(0'(0'(0'(1'(1'(0'(1'(0'(1'(0'(1'(0'(0'(1'(1'(0'(0'(1'(0'(0'(1'(0'(1'(0'(1'(1'(1'(1'(0'(1'(0'(1'(0'(1'(1'(0'(0'(0'(0'(1'(1'(1'(0'(1'(0'(0'(0'(0'(0'(0'(0'(0'(1'(1'(0'(0'(1'(1'(0'(1'(1'(0'(0'(0'(0'(0'(1'(0'(0'(1'(0'(1'(0'(1'(1'(1'(0'(1'(0'(0'(1'(0'(0'(1'(0'(0'(0'(0'(0'(1'(1'(0'(0'(0'(0'(0'(0'(0'(0'(1'(1'(0'(1'(0'(1'(0'(1'(0'(0'(0'(0'(0'(0'(1'(1'(0'(1'(0'(1'(0'(1'(0'(1'(1'(1'(0'(0'(1'(1'(0'(1'(1'(x1355))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (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'(1'(0'(0'(1'(1'(0'(1'(1'(0'(0'(0'(0'(0'(1'(0'(0'(1'(0'(1'(0'(1'(1'(0'(1'(0'(0'(1'(0'(0'(0'(0'(1'(1'(0'(1'(0'(1'(0'(1'(0'(0'(1'(1'(0'(0'(1'(0'(0'(1'(0'(1'(0'(1'(1'(1'(1'(0'(1'(0'(1'(0'(1'(1'(0'(0'(0'(0'(1'(1'(1'(0'(1'(0'(0'(0'(0'(0'(0'(0'(0'(1'(1'(0'(0'(1'(1'(0'(1'(1'(0'(0'(0'(0'(0'(1'(0'(0'(1'(0'(1'(0'(1'(1'(1'(0'(1'(0'(0'(1'(0'(0'(0'(1'(0'(0'(0'(1'(0'(0'(0'(0'(1'(0'(1'(1'(0'(1'(0'(1'(1'(1'(0'(1'(1'(0'(0'(1'(0'(0'(1'(0'(1'(1'(0'(1'(0'(1'(0'(0'(1'(0'(1'(1'(0'(1'(0'(1'(0'(0'(1'(0'(0'(0'(0'(0'(x1360)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (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'(1'(0'(0'(1'(1'(0'(1'(1'(0'(0'(0'(0'(0'(1'(0'(0'(1'(0'(1'(0'(1'(1'(0'(1'(0'(0'(1'(0'(0'(0'(0'(1'(1'(0'(1'(0'(1'(0'(1'(0'(0'(1'(1'(0'(0'(1'(0'(0'(1'(0'(1'(0'(1'(1'(1'(1'(0'(1'(0'(1'(0'(1'(1'(0'(0'(0'(0'(1'(1'(1'(0'(1'(0'(0'(0'(0'(0'(0'(0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) 0'(z) -{ 1 }-> 0'(0'(1'(1'(0'(0'(1'(1'(0'(1'(1'(0'(0'(0'(0'(0'(1'(0'(0'(1'(0'(1'(0'(1'(1'(0'(1'(0'(0'(1'(0'(0'(0'(0'(1'(1'(0'(1'(0'(1'(0'(1'(0'(0'(1'(1'(0'(0'(1'(0'(0'(1'(0'(1'(0'(1'(1'(1'(1'(0'(1'(0'(1'(0'(1'(1'(0'(0'(0'(0'(1'(1'(1'(0'(1'(0'(0'(0'(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'(1'(1'(0'(0'(1'(1'(0'(1'(1'(0'(0'(0'(0'(0'(1'(0'(0'(1'(0'(1'(0'(1'(1'(0'(1'(0'(0'(1'(0'(0'(0'(0'(1'(1'(0'(1'(0'(1'(0'(1'(0'(0'(1'(1'(0'(0'(1'(0'(0'(1'(0'(1'(0'(1'(0'(0'(0'(1'(0'(1'(0'(0'(1'(1'(0'(0'(1'(0'(0'(1'(0'(0'(0'(1'(1'(0'(1'(1'(0'(1'(0'(x1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (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) -{ 2 }-> 1'(1'(0'(0'(0'(1'(1'(1'(0'(0'(1'(1'(0'(1'(0'(0'(0'(0'(0'(0'(1'(1'(0'(1'(0'(1'(0'(0'(0'(0'(1'(1'(1'(1'(0'(1'(1'(1'(0'(0'(0'(1'(1'(0'(1'(0'(0'(0'(0'(0'(1'(1'(0'(1'(1'(0'(1'(1'(1'(0'(0'(0'(0'(0'(1'(1'(1'(0'(0'(1'(1'(0'(0'(0'(1'(1'(0'(1'(0'(1'(1'(1'(1'(0'(0'(0'(1'(1'(1'(0'(0'(1'(1'(0'(1'(0'(0'(0'(0'(0'(0'(1'(1'(0'(1'(0'(1'(0'(0'(0'(0'(1'(1'(1'(1'(0'(1'(1'(1'(0'(0'(0'(1'(1'(0'(1'(0'(0'(0'(0'(0'(1'(1'(0'(1'(1'(0'(1'(1'(1'(0'(0'(0'(0'(0'(1'(1'(1'(0'(0'(1'(1'(0'(0'(0'(1'(1'(0'(1'(0'(1'(1'(1'(x156))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: x156 >= 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 + 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1'(1'(0'(0'(0'(1'(1'(1'(0'(0'(1'(1'(0'(1'(0'(0'(0'(0'(0'(0'(1'(1'(0'(1'(0'(1'(0'(0'(0'(0'(1'(1'(1'(1'(0'(1'(1'(1'(0'(0'(0'(1'(1'(0'(1'(0'(0'(0'(0'(0'(1'(1'(0'(1'(1'(0'(1'(1'(1'(0'(0'(0'(0'(0'(1'(1'(1'(0'(0'(1'(1'(0'(0'(0'(1'(1'(0'(1'(0'(1'(1'(0'(0'(1'(1'(1'(1'(1'(0'(1'(1'(1'(1'(0'(1'(0'(1'(1'(0'(1'(0'(0'(1'(1'(1'(1'(0'(0'(0'(1'(0'(0'(1'(1'(1'(1'(0'(0'(1'(1'(0'(1'(0'(1'(1'(1'(0'(0'(0'(1'(0'(0'(1'(1'(1'(0'(0'(0'(0'(1'(1'(0'(0'(0'(1'(0'(0'(1'(0'(0'(0'(0'(0'(1'(1'(1'(0'(0'(0'(0'(0'(0'(1'(x159))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: x159 >= 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 + 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1'(1'(0'(0'(0'(1'(1'(1'(0'(0'(1'(1'(0'(1'(0'(0'(0'(0'(0'(0'(1'(1'(0'(1'(0'(1'(0'(0'(0'(0'(1'(1'(1'(1'(0'(1'(1'(1'(0'(0'(0'(1'(1'(0'(1'(0'(0'(0'(0'(0'(1'(1'(0'(1'(1'(0'(1'(1'(1'(0'(0'(0'(0'(0'(1'(1'(1'(0'(0'(1'(1'(0'(0'(0'(1'(1'(0'(1'(0'(1'(1'(0'(0'(1'(1'(0'(0'(1'(1'(0'(1'(1'(0'(0'(0'(0'(0'(1'(0'(0'(1'(0'(1'(0'(1'(1'(1'(0'(1'(0'(0'(1'(0'(0'(1'(0'(0'(0'(0'(0'(1'(1'(0'(0'(0'(0'(0'(0'(0'(0'(1'(1'(0'(1'(0'(1'(0'(1'(1'(1'(1'(1'(0'(1'(0'(0'(1'(1'(1'(1'(1'(0'(1'(1'(1'(1'(0'(1'(1'(1'(1'(1'(1'(x161))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (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'(0'(0'(1'(1'(1'(0'(0'(1'(1'(0'(1'(0'(0'(0'(0'(0'(0'(1'(1'(0'(1'(0'(1'(0'(0'(0'(0'(1'(1'(1'(1'(0'(1'(1'(1'(0'(0'(0'(1'(1'(0'(1'(0'(0'(0'(0'(0'(1'(1'(0'(1'(1'(0'(1'(1'(1'(0'(0'(0'(0'(0'(1'(1'(1'(0'(0'(1'(1'(0'(0'(0'(1'(1'(0'(1'(0'(1'(1'(0'(0'(1'(1'(0'(0'(1'(1'(0'(1'(1'(0'(0'(0'(0'(0'(1'(0'(0'(1'(0'(1'(0'(1'(1'(1'(0'(1'(0'(0'(1'(0'(0'(1'(0'(0'(0'(0'(0'(1'(1'(0'(0'(0'(0'(0'(0'(0'(0'(1'(1'(0'(1'(0'(1'(0'(1'(1'(1'(1'(1'(0'(1'(0'(0'(1'(1'(1'(1'(1'(0'(1'(1'(0'(0'(0'(1'(0'(0'(0'(0'(1'(x158))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (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'(0'(0'(1'(1'(1'(0'(0'(1'(1'(0'(1'(0'(0'(0'(0'(0'(0'(1'(1'(0'(1'(0'(1'(0'(0'(0'(0'(1'(1'(1'(1'(0'(1'(1'(1'(0'(0'(0'(1'(1'(0'(1'(0'(0'(0'(0'(0'(1'(1'(0'(1'(1'(0'(1'(1'(1'(0'(0'(0'(0'(0'(1'(1'(1'(0'(0'(1'(1'(0'(0'(0'(1'(1'(0'(1'(0'(1'(1'(0'(0'(1'(1'(0'(0'(1'(1'(0'(1'(1'(0'(0'(0'(0'(0'(1'(0'(0'(1'(0'(1'(0'(1'(1'(1'(0'(1'(0'(0'(1'(0'(0'(1'(0'(0'(0'(0'(0'(1'(1'(0'(0'(0'(0'(0'(0'(0'(0'(1'(1'(0'(1'(0'(1'(0'(1'(0'(0'(0'(0'(0'(0'(1'(1'(0'(1'(0'(1'(0'(1'(0'(1'(1'(1'(0'(0'(1'(1'(0'(1'(1'(x157))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (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'(0'(0'(1'(1'(1'(0'(0'(1'(1'(0'(1'(0'(0'(0'(0'(0'(0'(1'(1'(0'(1'(0'(1'(0'(0'(0'(0'(1'(1'(1'(1'(0'(1'(1'(1'(0'(0'(0'(1'(1'(0'(1'(0'(0'(0'(0'(0'(1'(1'(0'(1'(1'(0'(1'(1'(1'(0'(0'(0'(0'(0'(1'(1'(1'(0'(0'(1'(1'(0'(0'(0'(1'(1'(0'(1'(0'(1'(1'(0'(0'(1'(1'(0'(0'(1'(1'(0'(1'(1'(0'(0'(0'(0'(0'(1'(0'(0'(1'(0'(1'(0'(1'(1'(1'(0'(1'(0'(0'(1'(0'(0'(0'(1'(0'(0'(0'(1'(0'(0'(0'(0'(1'(0'(1'(1'(0'(1'(0'(1'(1'(1'(0'(1'(1'(0'(0'(1'(0'(0'(1'(0'(1'(1'(0'(1'(0'(1'(0'(0'(1'(0'(1'(1'(0'(1'(0'(1'(0'(0'(1'(0'(0'(0'(0'(0'(x162)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (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))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) 1'(z) -{ 1 }-> 1'(1'(0'(0'(0'(1'(1'(1'(0'(0'(1'(1'(0'(1'(0'(0'(0'(0'(0'(0'(1'(1'(0'(1'(0'(1'(0'(0'(0'(0'(1'(1'(1'(1'(0'(1'(1'(1'(0'(0'(0'(1'(1'(0'(1'(0'(0'(0'(0'(0'(1'(1'(0'(1'(1'(0'(1'(1'(1'(0'(0'(0'(0'(0'(1'(1'(1'(0'(0'(1'(1'(0'(0'(0'(1'(1'(0'(1'(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 + 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0'(0'(1'(1'(1'(1'(1'(0'(1'(1'(1'(1'(0'(1'(0'(1'(1'(0'(1'(0'(0'(1'(1'(1'(1'(0'(0'(0'(1'(0'(0'(1'(1'(1'(1'(0'(0'(1'(1'(0'(1'(0'(1'(1'(1'(0'(0'(0'(1'(0'(0'(1'(1'(1'(0'(0'(0'(0'(1'(1'(0'(0'(0'(1'(0'(0'(1'(0'(0'(0'(0'(0'(1'(1'(1'(0'(0'(0'(0'(0'(0'(1'(1'(0'(0'(0'(1'(1'(1'(0'(0'(1'(1'(0'(1'(0'(0'(0'(0'(0'(0'(1'(1'(0'(1'(0'(1'(0'(0'(0'(0'(1'(1'(1'(1'(0'(1'(1'(1'(0'(0'(0'(1'(1'(0'(1'(0'(0'(0'(0'(0'(1'(1'(0'(1'(1'(0'(1'(1'(1'(0'(0'(0'(0'(0'(1'(1'(1'(0'(0'(1'(1'(0'(0'(0'(1'(1'(0'(1'(0'(1'(1'(1'(x1230))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: x1230 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (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'(1'(1'(1'(1'(0'(1'(1'(1'(1'(0'(1'(0'(1'(1'(0'(1'(0'(0'(1'(1'(1'(1'(0'(0'(0'(1'(0'(0'(1'(1'(1'(1'(0'(0'(1'(1'(0'(1'(0'(1'(1'(1'(0'(0'(0'(1'(0'(0'(1'(1'(1'(0'(0'(0'(0'(1'(1'(0'(0'(0'(1'(0'(0'(1'(0'(0'(0'(0'(0'(1'(1'(1'(0'(0'(0'(0'(0'(0'(0'(0'(1'(1'(1'(1'(1'(0'(1'(1'(1'(1'(0'(1'(0'(1'(1'(0'(1'(0'(0'(1'(1'(1'(1'(0'(0'(0'(1'(0'(0'(1'(1'(1'(1'(0'(0'(1'(1'(0'(1'(0'(1'(1'(1'(0'(0'(0'(1'(0'(0'(1'(1'(1'(0'(0'(0'(0'(1'(1'(0'(0'(0'(1'(0'(0'(1'(0'(0'(0'(0'(0'(1'(1'(1'(0'(0'(0'(0'(0'(0'(1'(x1233))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: x1233 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (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'(1'(1'(1'(1'(0'(1'(1'(1'(1'(0'(1'(0'(1'(1'(0'(1'(0'(0'(1'(1'(1'(1'(0'(0'(0'(1'(0'(0'(1'(1'(1'(1'(0'(0'(1'(1'(0'(1'(0'(1'(1'(1'(0'(0'(0'(1'(0'(0'(1'(1'(1'(0'(0'(0'(0'(1'(1'(0'(0'(0'(1'(0'(0'(1'(0'(0'(0'(0'(0'(1'(1'(1'(0'(0'(0'(0'(0'(0'(0'(0'(1'(1'(0'(0'(1'(1'(0'(1'(1'(0'(0'(0'(0'(0'(1'(0'(0'(1'(0'(1'(0'(1'(1'(1'(0'(1'(0'(0'(1'(0'(0'(1'(0'(0'(0'(0'(0'(1'(1'(0'(0'(0'(0'(0'(0'(0'(0'(1'(1'(0'(1'(0'(1'(0'(1'(1'(1'(1'(1'(0'(1'(0'(0'(1'(1'(1'(1'(1'(0'(1'(1'(1'(1'(0'(1'(1'(1'(1'(1'(1'(x1235))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: x1235 >= 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 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0'(0'(1'(1'(1'(1'(1'(0'(1'(1'(1'(1'(0'(1'(0'(1'(1'(0'(1'(0'(0'(1'(1'(1'(1'(0'(0'(0'(1'(0'(0'(1'(1'(1'(1'(0'(0'(1'(1'(0'(1'(0'(1'(1'(1'(0'(0'(0'(1'(0'(0'(1'(1'(1'(0'(0'(0'(0'(1'(1'(0'(0'(0'(1'(0'(0'(1'(0'(0'(0'(0'(0'(1'(1'(1'(0'(0'(0'(0'(0'(0'(0'(0'(1'(1'(0'(0'(1'(1'(0'(1'(1'(0'(0'(0'(0'(0'(1'(0'(0'(1'(0'(1'(0'(1'(1'(1'(0'(1'(0'(0'(1'(0'(0'(1'(0'(0'(0'(0'(0'(1'(1'(0'(0'(0'(0'(0'(0'(0'(0'(1'(1'(0'(1'(0'(1'(0'(1'(1'(1'(1'(1'(0'(1'(0'(0'(1'(1'(1'(1'(1'(0'(1'(1'(0'(0'(0'(1'(0'(0'(0'(0'(1'(x1232))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: x1232 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (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'(1'(1'(1'(1'(0'(1'(1'(1'(1'(0'(1'(0'(1'(1'(0'(1'(0'(0'(1'(1'(1'(1'(0'(0'(0'(1'(0'(0'(1'(1'(1'(1'(0'(0'(1'(1'(0'(1'(0'(1'(1'(1'(0'(0'(0'(1'(0'(0'(1'(1'(1'(0'(0'(0'(0'(1'(1'(0'(0'(0'(1'(0'(0'(1'(0'(0'(0'(0'(0'(1'(1'(1'(0'(0'(0'(0'(0'(0'(0'(0'(1'(1'(0'(0'(1'(1'(0'(1'(1'(0'(0'(0'(0'(0'(1'(0'(0'(1'(0'(1'(0'(1'(1'(1'(0'(1'(0'(0'(1'(0'(0'(1'(0'(0'(0'(0'(0'(1'(1'(0'(0'(0'(0'(0'(0'(0'(0'(1'(1'(0'(1'(0'(1'(0'(1'(1'(1'(1'(1'(0'(1'(0'(0'(1'(1'(1'(1'(1'(0'(1'(1'(0'(0'(0'(1'(0'(0'(0'(0'(1'(x1234))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: x1234 >= 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 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0'(0'(1'(1'(1'(1'(1'(0'(1'(1'(1'(1'(0'(1'(0'(1'(1'(0'(1'(0'(0'(1'(1'(1'(1'(0'(0'(0'(1'(0'(0'(1'(1'(1'(1'(0'(0'(1'(1'(0'(1'(0'(1'(1'(1'(0'(0'(0'(1'(0'(0'(1'(1'(1'(0'(0'(0'(0'(1'(1'(0'(0'(0'(1'(0'(0'(1'(0'(0'(0'(0'(0'(1'(1'(1'(0'(0'(0'(0'(0'(0'(0'(0'(1'(1'(0'(0'(1'(1'(0'(1'(1'(0'(0'(0'(0'(0'(1'(0'(0'(1'(0'(1'(0'(1'(1'(1'(0'(1'(0'(0'(1'(0'(0'(1'(0'(0'(0'(0'(0'(1'(1'(0'(0'(0'(0'(0'(0'(0'(0'(1'(1'(0'(1'(0'(1'(0'(1'(0'(0'(0'(0'(0'(0'(1'(1'(0'(1'(0'(1'(0'(1'(0'(1'(1'(1'(0'(0'(1'(1'(0'(1'(1'(x1231))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (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'(1'(1'(1'(1'(0'(1'(1'(1'(1'(0'(1'(0'(1'(1'(0'(1'(0'(0'(1'(1'(1'(1'(0'(0'(0'(1'(0'(0'(1'(1'(1'(1'(0'(0'(1'(1'(0'(1'(0'(1'(1'(1'(0'(0'(0'(1'(0'(0'(1'(1'(1'(0'(0'(0'(0'(1'(1'(0'(0'(0'(1'(0'(0'(1'(0'(0'(0'(0'(0'(1'(1'(1'(0'(0'(0'(0'(0'(0'(0'(0'(1'(1'(0'(0'(1'(1'(0'(1'(1'(0'(0'(0'(0'(0'(1'(0'(0'(1'(0'(1'(0'(1'(1'(1'(0'(1'(0'(0'(1'(0'(0'(0'(1'(0'(0'(0'(1'(0'(0'(0'(0'(1'(0'(1'(1'(0'(1'(0'(1'(1'(1'(0'(1'(1'(0'(0'(1'(0'(0'(1'(0'(1'(1'(0'(1'(0'(1'(0'(0'(1'(0'(1'(1'(0'(1'(0'(1'(0'(0'(1'(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 + 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0'(0'(1'(1'(1'(1'(1'(0'(1'(1'(1'(1'(0'(1'(0'(1'(1'(0'(1'(0'(0'(1'(1'(1'(1'(0'(0'(0'(1'(0'(0'(1'(1'(1'(1'(0'(0'(1'(1'(0'(1'(0'(1'(1'(1'(0'(0'(0'(1'(0'(0'(1'(1'(1'(0'(0'(0'(0'(1'(1'(0'(0'(0'(1'(0'(0'(1'(0'(0'(0'(0'(0'(1'(1'(1'(0'(0'(0'(0'(0'(0'(0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (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'(1'(1'(1'(1'(0'(1'(1'(1'(1'(0'(1'(0'(1'(1'(0'(1'(0'(0'(1'(1'(1'(1'(0'(0'(0'(1'(0'(0'(1'(1'(1'(1'(0'(0'(1'(1'(0'(1'(0'(1'(1'(1'(0'(0'(0'(1'(0'(0'(1'(1'(1'(0'(0'(0'(0'(1'(1'(0'(0'(0'(1'(0'(0'(1'(0'(0'(0'(0'(0'(1'(1'(1'(0'(0'(0'(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))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) 1'(z) -{ 2 }-> 0'(0'(1'(1'(0'(0'(1'(1'(0'(1'(1'(0'(0'(0'(0'(0'(1'(0'(0'(1'(0'(1'(0'(1'(1'(1'(0'(1'(0'(0'(1'(0'(0'(1'(0'(0'(0'(0'(0'(1'(1'(0'(0'(0'(0'(0'(0'(0'(0'(1'(1'(0'(1'(0'(1'(0'(1'(1'(1'(1'(1'(0'(1'(0'(0'(1'(1'(1'(1'(1'(0'(1'(1'(1'(1'(0'(1'(1'(1'(1'(1'(1'(1'(0'(0'(0'(1'(1'(1'(0'(0'(1'(1'(0'(1'(0'(0'(0'(0'(0'(0'(1'(1'(0'(1'(0'(1'(0'(0'(0'(0'(1'(1'(1'(1'(0'(1'(1'(1'(0'(0'(0'(1'(1'(0'(1'(0'(0'(0'(0'(0'(1'(1'(0'(1'(1'(0'(1'(1'(1'(0'(0'(0'(0'(0'(1'(1'(1'(0'(0'(1'(1'(0'(0'(0'(1'(1'(0'(1'(0'(1'(1'(1'(x1283))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (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'(1'(0'(0'(1'(1'(0'(1'(1'(0'(0'(0'(0'(0'(1'(0'(0'(1'(0'(1'(0'(1'(1'(1'(0'(1'(0'(0'(1'(0'(0'(1'(0'(0'(0'(0'(0'(1'(1'(0'(0'(0'(0'(0'(0'(0'(0'(1'(1'(0'(1'(0'(1'(0'(1'(1'(1'(1'(1'(0'(1'(0'(0'(1'(1'(1'(1'(1'(0'(1'(1'(1'(1'(0'(1'(1'(1'(1'(1'(0'(0'(1'(1'(1'(1'(1'(0'(1'(1'(1'(1'(0'(1'(0'(1'(1'(0'(1'(0'(0'(1'(1'(1'(1'(0'(0'(0'(1'(0'(0'(1'(1'(1'(1'(0'(0'(1'(1'(0'(1'(0'(1'(1'(1'(0'(0'(0'(1'(0'(0'(1'(1'(1'(0'(0'(0'(0'(1'(1'(0'(0'(0'(1'(0'(0'(1'(0'(0'(0'(0'(0'(1'(1'(1'(0'(0'(0'(0'(0'(0'(1'(x1286))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: x1286 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (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'(1'(0'(0'(1'(1'(0'(1'(1'(0'(0'(0'(0'(0'(1'(0'(0'(1'(0'(1'(0'(1'(1'(1'(0'(1'(0'(0'(1'(0'(0'(1'(0'(0'(0'(0'(0'(1'(1'(0'(0'(0'(0'(0'(0'(0'(0'(1'(1'(0'(1'(0'(1'(0'(1'(1'(1'(1'(1'(0'(1'(0'(0'(1'(1'(1'(1'(1'(0'(1'(1'(1'(1'(0'(1'(1'(1'(1'(1'(0'(0'(1'(1'(0'(0'(1'(1'(0'(1'(1'(0'(0'(0'(0'(0'(1'(0'(0'(1'(0'(1'(0'(1'(1'(1'(0'(1'(0'(0'(1'(0'(0'(1'(0'(0'(0'(0'(0'(1'(1'(0'(0'(0'(0'(0'(0'(0'(0'(1'(1'(0'(1'(0'(1'(0'(1'(0'(0'(0'(0'(0'(0'(1'(1'(0'(1'(0'(1'(0'(1'(0'(1'(1'(1'(0'(0'(1'(1'(0'(1'(1'(x1284))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: x1284 >= 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 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0'(0'(1'(1'(0'(0'(1'(1'(0'(1'(1'(0'(0'(0'(0'(0'(1'(0'(0'(1'(0'(1'(0'(1'(1'(1'(0'(1'(0'(0'(1'(0'(0'(1'(0'(0'(0'(0'(0'(1'(1'(0'(0'(0'(0'(0'(0'(0'(0'(1'(1'(0'(1'(0'(1'(0'(1'(1'(1'(1'(1'(0'(1'(0'(0'(1'(1'(1'(1'(1'(0'(1'(1'(1'(1'(0'(1'(1'(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))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) 1'(z) -{ 1 }-> 0'(0'(1'(1'(0'(0'(1'(1'(0'(1'(1'(0'(0'(0'(0'(0'(1'(0'(0'(1'(0'(1'(0'(1'(1'(1'(0'(1'(0'(0'(1'(0'(0'(1'(0'(0'(0'(0'(0'(1'(1'(0'(0'(0'(0'(0'(0'(0'(0'(1'(1'(0'(1'(0'(1'(0'(1'(1'(1'(1'(1'(0'(1'(0'(0'(1'(1'(1'(1'(1'(0'(1'(1'(1'(1'(0'(1'(1'(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))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) 1'(z) -{ 2 }-> 0'(0'(1'(1'(0'(0'(1'(1'(0'(1'(1'(0'(0'(0'(0'(0'(1'(0'(0'(1'(0'(1'(0'(1'(1'(1'(0'(1'(0'(0'(1'(0'(0'(1'(0'(0'(0'(0'(0'(1'(1'(0'(0'(0'(0'(0'(0'(0'(0'(1'(1'(0'(1'(0'(1'(0'(1'(1'(1'(1'(1'(0'(1'(0'(0'(1'(1'(1'(1'(1'(0'(1'(1'(0'(0'(0'(1'(0'(0'(0'(0'(1'(1'(0'(0'(0'(1'(1'(1'(0'(0'(1'(1'(0'(1'(0'(0'(0'(0'(0'(0'(1'(1'(0'(1'(0'(1'(0'(0'(0'(0'(1'(1'(1'(1'(0'(1'(1'(1'(0'(0'(0'(1'(1'(0'(1'(0'(0'(0'(0'(0'(1'(1'(0'(1'(1'(0'(1'(1'(1'(0'(0'(0'(0'(0'(1'(1'(1'(0'(0'(1'(1'(0'(0'(0'(1'(1'(0'(1'(0'(1'(1'(1'(x1191))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (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'(1'(0'(0'(1'(1'(0'(1'(1'(0'(0'(0'(0'(0'(1'(0'(0'(1'(0'(1'(0'(1'(1'(1'(0'(1'(0'(0'(1'(0'(0'(1'(0'(0'(0'(0'(0'(1'(1'(0'(0'(0'(0'(0'(0'(0'(0'(1'(1'(0'(1'(0'(1'(0'(1'(1'(1'(1'(1'(0'(1'(0'(0'(1'(1'(1'(1'(1'(0'(1'(1'(0'(0'(0'(1'(0'(0'(0'(0'(0'(0'(1'(1'(1'(1'(1'(0'(1'(1'(1'(1'(0'(1'(0'(1'(1'(0'(1'(0'(0'(1'(1'(1'(1'(0'(0'(0'(1'(0'(0'(1'(1'(1'(1'(0'(0'(1'(1'(0'(1'(0'(1'(1'(1'(0'(0'(0'(1'(0'(0'(1'(1'(1'(0'(0'(0'(0'(1'(1'(0'(0'(0'(1'(0'(0'(1'(0'(0'(0'(0'(0'(1'(1'(1'(0'(0'(0'(0'(0'(0'(1'(x1194))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (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'(1'(0'(0'(1'(1'(0'(1'(1'(0'(0'(0'(0'(0'(1'(0'(0'(1'(0'(1'(0'(1'(1'(1'(0'(1'(0'(0'(1'(0'(0'(1'(0'(0'(0'(0'(0'(1'(1'(0'(0'(0'(0'(0'(0'(0'(0'(1'(1'(0'(1'(0'(1'(0'(1'(1'(1'(1'(1'(0'(1'(0'(0'(1'(1'(1'(1'(1'(0'(1'(1'(0'(0'(0'(1'(0'(0'(0'(0'(0'(0'(1'(1'(1'(1'(1'(0'(1'(1'(1'(1'(0'(1'(0'(1'(1'(0'(1'(0'(0'(1'(1'(1'(1'(0'(0'(0'(1'(0'(0'(1'(1'(1'(1'(0'(0'(1'(1'(0'(1'(0'(1'(1'(1'(0'(0'(0'(1'(0'(0'(1'(1'(1'(0'(0'(0'(0'(1'(1'(0'(0'(0'(1'(0'(0'(1'(0'(0'(0'(0'(0'(1'(1'(1'(0'(0'(0'(0'(0'(0'(1'(x1254))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: x1254 >= 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 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0'(0'(1'(1'(0'(0'(1'(1'(0'(1'(1'(0'(0'(0'(0'(0'(1'(0'(0'(1'(0'(1'(0'(1'(1'(1'(0'(1'(0'(0'(1'(0'(0'(1'(0'(0'(0'(0'(0'(1'(1'(0'(0'(0'(0'(0'(0'(0'(0'(1'(1'(0'(1'(0'(1'(0'(1'(1'(1'(1'(1'(0'(1'(0'(0'(1'(1'(1'(1'(1'(0'(1'(1'(0'(0'(0'(1'(0'(0'(0'(0'(0'(0'(1'(1'(0'(0'(1'(1'(0'(1'(1'(0'(0'(0'(0'(0'(1'(0'(0'(1'(0'(1'(0'(1'(1'(1'(0'(1'(0'(0'(1'(0'(0'(1'(0'(0'(0'(0'(0'(1'(1'(0'(0'(0'(0'(0'(0'(0'(0'(1'(1'(0'(1'(0'(1'(0'(1'(1'(1'(1'(1'(0'(1'(0'(0'(1'(1'(1'(1'(1'(0'(1'(1'(1'(1'(0'(1'(1'(1'(1'(1'(1'(x1196))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (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'(1'(0'(0'(1'(1'(0'(1'(1'(0'(0'(0'(0'(0'(1'(0'(0'(1'(0'(1'(0'(1'(1'(1'(0'(1'(0'(0'(1'(0'(0'(1'(0'(0'(0'(0'(0'(1'(1'(0'(0'(0'(0'(0'(0'(0'(0'(1'(1'(0'(1'(0'(1'(0'(1'(1'(1'(1'(1'(0'(1'(0'(0'(1'(1'(1'(1'(1'(0'(1'(1'(0'(0'(0'(1'(0'(0'(0'(0'(0'(0'(1'(1'(0'(0'(1'(1'(0'(1'(1'(0'(0'(0'(0'(0'(1'(0'(0'(1'(0'(1'(0'(1'(1'(1'(0'(1'(0'(0'(1'(0'(0'(1'(0'(0'(0'(0'(0'(1'(1'(0'(0'(0'(0'(0'(0'(0'(0'(1'(1'(0'(1'(0'(1'(0'(1'(1'(1'(1'(1'(0'(1'(0'(0'(1'(1'(1'(1'(1'(0'(1'(1'(1'(1'(0'(1'(1'(1'(1'(1'(1'(x1256))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (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'(1'(0'(0'(1'(1'(0'(1'(1'(0'(0'(0'(0'(0'(1'(0'(0'(1'(0'(1'(0'(1'(1'(1'(0'(1'(0'(0'(1'(0'(0'(1'(0'(0'(0'(0'(0'(1'(1'(0'(0'(0'(0'(0'(0'(0'(0'(1'(1'(0'(1'(0'(1'(0'(1'(1'(1'(1'(1'(0'(1'(0'(0'(1'(1'(1'(1'(1'(0'(1'(1'(0'(0'(0'(1'(0'(0'(0'(0'(0'(0'(1'(1'(0'(0'(1'(1'(0'(1'(1'(0'(0'(0'(0'(0'(1'(0'(0'(1'(0'(1'(0'(1'(1'(1'(0'(1'(0'(0'(1'(0'(0'(1'(0'(0'(0'(0'(0'(1'(1'(0'(0'(0'(0'(0'(0'(0'(0'(1'(1'(0'(1'(0'(1'(0'(1'(1'(1'(1'(1'(0'(1'(0'(0'(1'(1'(1'(1'(1'(0'(1'(1'(0'(0'(0'(1'(0'(0'(0'(0'(1'(x1193))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: x1193 >= 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 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0'(0'(1'(1'(0'(0'(1'(1'(0'(1'(1'(0'(0'(0'(0'(0'(1'(0'(0'(1'(0'(1'(0'(1'(1'(1'(0'(1'(0'(0'(1'(0'(0'(1'(0'(0'(0'(0'(0'(1'(1'(0'(0'(0'(0'(0'(0'(0'(0'(1'(1'(0'(1'(0'(1'(0'(1'(1'(1'(1'(1'(0'(1'(0'(0'(1'(1'(1'(1'(1'(0'(1'(1'(0'(0'(0'(1'(0'(0'(0'(0'(0'(0'(1'(1'(0'(0'(1'(1'(0'(1'(1'(0'(0'(0'(0'(0'(1'(0'(0'(1'(0'(1'(0'(1'(1'(1'(0'(1'(0'(0'(1'(0'(0'(1'(0'(0'(0'(0'(0'(1'(1'(0'(0'(0'(0'(0'(0'(0'(0'(1'(1'(0'(1'(0'(1'(0'(1'(1'(1'(1'(1'(0'(1'(0'(0'(1'(1'(1'(1'(1'(0'(1'(1'(0'(0'(0'(1'(0'(0'(0'(0'(1'(x1195))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: x1195 >= 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 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0'(0'(1'(1'(0'(0'(1'(1'(0'(1'(1'(0'(0'(0'(0'(0'(1'(0'(0'(1'(0'(1'(0'(1'(1'(1'(0'(1'(0'(0'(1'(0'(0'(1'(0'(0'(0'(0'(0'(1'(1'(0'(0'(0'(0'(0'(0'(0'(0'(1'(1'(0'(1'(0'(1'(0'(1'(1'(1'(1'(1'(0'(1'(0'(0'(1'(1'(1'(1'(1'(0'(1'(1'(0'(0'(0'(1'(0'(0'(0'(0'(0'(0'(1'(1'(0'(0'(1'(1'(0'(1'(1'(0'(0'(0'(0'(0'(1'(0'(0'(1'(0'(1'(0'(1'(1'(1'(0'(1'(0'(0'(1'(0'(0'(1'(0'(0'(0'(0'(0'(1'(1'(0'(0'(0'(0'(0'(0'(0'(0'(1'(1'(0'(1'(0'(1'(0'(1'(1'(1'(1'(1'(0'(1'(0'(0'(1'(1'(1'(1'(1'(0'(1'(1'(0'(0'(0'(1'(0'(0'(0'(0'(1'(x1253))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (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'(1'(0'(0'(1'(1'(0'(1'(1'(0'(0'(0'(0'(0'(1'(0'(0'(1'(0'(1'(0'(1'(1'(1'(0'(1'(0'(0'(1'(0'(0'(1'(0'(0'(0'(0'(0'(1'(1'(0'(0'(0'(0'(0'(0'(0'(0'(1'(1'(0'(1'(0'(1'(0'(1'(1'(1'(1'(1'(0'(1'(0'(0'(1'(1'(1'(1'(1'(0'(1'(1'(0'(0'(0'(1'(0'(0'(0'(0'(0'(0'(1'(1'(0'(0'(1'(1'(0'(1'(1'(0'(0'(0'(0'(0'(1'(0'(0'(1'(0'(1'(0'(1'(1'(1'(0'(1'(0'(0'(1'(0'(0'(1'(0'(0'(0'(0'(0'(1'(1'(0'(0'(0'(0'(0'(0'(0'(0'(1'(1'(0'(1'(0'(1'(0'(1'(1'(1'(1'(1'(0'(1'(0'(0'(1'(1'(1'(1'(1'(0'(1'(1'(0'(0'(0'(1'(0'(0'(0'(0'(1'(x1255))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: x1255 >= 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 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0'(0'(1'(1'(0'(0'(1'(1'(0'(1'(1'(0'(0'(0'(0'(0'(1'(0'(0'(1'(0'(1'(0'(1'(1'(1'(0'(1'(0'(0'(1'(0'(0'(1'(0'(0'(0'(0'(0'(1'(1'(0'(0'(0'(0'(0'(0'(0'(0'(1'(1'(0'(1'(0'(1'(0'(1'(1'(1'(1'(1'(0'(1'(0'(0'(1'(1'(1'(1'(1'(0'(1'(1'(0'(0'(0'(1'(0'(0'(0'(0'(0'(0'(1'(1'(0'(0'(1'(1'(0'(1'(1'(0'(0'(0'(0'(0'(1'(0'(0'(1'(0'(1'(0'(1'(1'(1'(0'(1'(0'(0'(1'(0'(0'(1'(0'(0'(0'(0'(0'(1'(1'(0'(0'(0'(0'(0'(0'(0'(0'(1'(1'(0'(1'(0'(1'(0'(1'(0'(0'(0'(0'(0'(0'(1'(1'(0'(1'(0'(1'(0'(1'(0'(1'(1'(1'(0'(0'(1'(1'(0'(1'(1'(x1192))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (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'(1'(0'(0'(1'(1'(0'(1'(1'(0'(0'(0'(0'(0'(1'(0'(0'(1'(0'(1'(0'(1'(1'(1'(0'(1'(0'(0'(1'(0'(0'(1'(0'(0'(0'(0'(0'(1'(1'(0'(0'(0'(0'(0'(0'(0'(0'(1'(1'(0'(1'(0'(1'(0'(1'(1'(1'(1'(1'(0'(1'(0'(0'(1'(1'(1'(1'(1'(0'(1'(1'(0'(0'(0'(1'(0'(0'(0'(0'(0'(0'(1'(1'(0'(0'(1'(1'(0'(1'(1'(0'(0'(0'(0'(0'(1'(0'(0'(1'(0'(1'(0'(1'(1'(1'(0'(1'(0'(0'(1'(0'(0'(1'(0'(0'(0'(0'(0'(1'(1'(0'(0'(0'(0'(0'(0'(0'(0'(1'(1'(0'(1'(0'(1'(0'(1'(0'(0'(0'(0'(0'(0'(1'(1'(0'(1'(0'(1'(0'(1'(0'(1'(1'(1'(0'(0'(1'(1'(0'(1'(1'(x1252))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: x1252 >= 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 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0'(0'(1'(1'(0'(0'(1'(1'(0'(1'(1'(0'(0'(0'(0'(0'(1'(0'(0'(1'(0'(1'(0'(1'(1'(1'(0'(1'(0'(0'(1'(0'(0'(1'(0'(0'(0'(0'(0'(1'(1'(0'(0'(0'(0'(0'(0'(0'(0'(1'(1'(0'(1'(0'(1'(0'(1'(1'(1'(1'(1'(0'(1'(0'(0'(1'(1'(1'(1'(1'(0'(1'(1'(0'(0'(0'(1'(0'(0'(0'(0'(0'(0'(1'(1'(0'(0'(1'(1'(0'(1'(1'(0'(0'(0'(0'(0'(1'(0'(0'(1'(0'(1'(0'(1'(1'(1'(0'(1'(0'(0'(1'(0'(0'(0'(1'(0'(0'(0'(1'(0'(0'(0'(0'(1'(0'(1'(1'(0'(1'(0'(1'(1'(1'(0'(1'(1'(0'(0'(1'(0'(0'(1'(0'(1'(1'(0'(1'(0'(1'(0'(0'(1'(0'(1'(1'(0'(1'(0'(1'(0'(0'(1'(0'(0'(0'(0'(0'(x1197)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (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'(1'(0'(0'(1'(1'(0'(1'(1'(0'(0'(0'(0'(0'(1'(0'(0'(1'(0'(1'(0'(1'(1'(1'(0'(1'(0'(0'(1'(0'(0'(1'(0'(0'(0'(0'(0'(1'(1'(0'(0'(0'(0'(0'(0'(0'(0'(1'(1'(0'(1'(0'(1'(0'(1'(1'(1'(1'(1'(0'(1'(0'(0'(1'(1'(1'(1'(1'(0'(1'(1'(0'(0'(0'(1'(0'(0'(0'(0'(0'(0'(1'(1'(0'(0'(1'(1'(0'(1'(1'(0'(0'(0'(0'(0'(1'(0'(0'(1'(0'(1'(0'(1'(1'(1'(0'(1'(0'(0'(1'(0'(0'(0'(1'(0'(0'(0'(1'(0'(0'(0'(0'(1'(0'(1'(1'(0'(1'(0'(1'(1'(1'(0'(1'(1'(0'(0'(1'(0'(0'(1'(0'(1'(1'(0'(1'(0'(1'(0'(0'(1'(0'(1'(1'(0'(1'(0'(1'(0'(0'(1'(0'(0'(0'(0'(0'(x1257)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (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'(1'(0'(0'(1'(1'(0'(1'(1'(0'(0'(0'(0'(0'(1'(0'(0'(1'(0'(1'(0'(1'(1'(1'(0'(1'(0'(0'(1'(0'(0'(1'(0'(0'(0'(0'(0'(1'(1'(0'(0'(0'(0'(0'(0'(0'(0'(1'(1'(0'(1'(0'(1'(0'(1'(1'(1'(1'(1'(0'(1'(0'(0'(1'(1'(1'(1'(1'(0'(1'(1'(0'(0'(0'(1'(0'(0'(0'(0'(0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (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'(1'(0'(0'(1'(1'(0'(1'(1'(0'(0'(0'(0'(0'(1'(0'(0'(1'(0'(1'(0'(1'(1'(1'(0'(1'(0'(0'(1'(0'(0'(1'(0'(0'(0'(0'(0'(1'(1'(0'(0'(0'(0'(0'(0'(0'(0'(1'(1'(0'(1'(0'(1'(0'(1'(1'(1'(1'(1'(0'(1'(0'(0'(1'(1'(1'(1'(1'(0'(1'(1'(0'(0'(0'(1'(0'(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))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) 1'(z) -{ 2 }-> 0'(0'(1'(1'(0'(0'(1'(1'(0'(1'(1'(0'(0'(0'(0'(0'(1'(0'(0'(1'(0'(1'(0'(1'(1'(1'(0'(1'(0'(0'(1'(0'(0'(1'(0'(0'(0'(0'(0'(1'(1'(0'(0'(0'(0'(0'(0'(0'(0'(1'(1'(0'(1'(0'(1'(0'(1'(0'(0'(0'(0'(0'(0'(1'(1'(0'(1'(0'(1'(0'(1'(0'(1'(1'(1'(0'(0'(1'(1'(0'(1'(1'(1'(0'(0'(0'(1'(1'(1'(0'(0'(1'(1'(0'(1'(0'(0'(0'(0'(0'(0'(1'(1'(0'(1'(0'(1'(0'(0'(0'(0'(1'(1'(1'(1'(0'(1'(1'(1'(0'(0'(0'(1'(1'(0'(1'(0'(0'(0'(0'(0'(1'(1'(0'(1'(1'(0'(1'(1'(1'(0'(0'(0'(0'(0'(1'(1'(1'(0'(0'(1'(1'(0'(0'(0'(1'(1'(0'(1'(0'(1'(1'(1'(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 + (1 + (1 + (1 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0'(0'(1'(1'(0'(0'(1'(1'(0'(1'(1'(0'(0'(0'(0'(0'(1'(0'(0'(1'(0'(1'(0'(1'(1'(1'(0'(1'(0'(0'(1'(0'(0'(1'(0'(0'(0'(0'(0'(1'(1'(0'(0'(0'(0'(0'(0'(0'(0'(1'(1'(0'(1'(0'(1'(0'(1'(0'(0'(0'(0'(0'(0'(1'(1'(0'(1'(0'(1'(0'(1'(0'(1'(1'(1'(0'(0'(1'(1'(0'(1'(0'(0'(1'(1'(1'(1'(1'(0'(1'(1'(1'(1'(0'(1'(0'(1'(1'(0'(1'(0'(0'(1'(1'(1'(1'(0'(0'(0'(1'(0'(0'(1'(1'(1'(1'(0'(0'(1'(1'(0'(1'(0'(1'(1'(1'(0'(0'(0'(1'(0'(0'(1'(1'(1'(0'(0'(0'(0'(1'(1'(0'(0'(0'(1'(0'(0'(1'(0'(0'(0'(0'(0'(1'(1'(1'(0'(0'(0'(0'(0'(0'(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 1'(z) -{ 2 }-> 0'(0'(1'(1'(0'(0'(1'(1'(0'(1'(1'(0'(0'(0'(0'(0'(1'(0'(0'(1'(0'(1'(0'(1'(1'(1'(0'(1'(0'(0'(1'(0'(0'(1'(0'(0'(0'(0'(0'(1'(1'(0'(0'(0'(0'(0'(0'(0'(0'(1'(1'(0'(1'(0'(1'(0'(1'(0'(0'(0'(0'(0'(0'(1'(1'(0'(1'(0'(1'(0'(1'(0'(1'(1'(1'(0'(0'(1'(1'(0'(1'(0'(0'(1'(1'(0'(0'(1'(1'(0'(1'(1'(0'(0'(0'(0'(0'(1'(0'(0'(1'(0'(1'(0'(1'(1'(1'(0'(1'(0'(0'(1'(0'(0'(1'(0'(0'(0'(0'(0'(1'(1'(0'(0'(0'(0'(0'(0'(0'(0'(1'(1'(0'(1'(0'(1'(0'(1'(1'(1'(1'(1'(0'(1'(0'(0'(1'(1'(1'(1'(1'(0'(1'(1'(1'(1'(0'(1'(1'(1'(1'(1'(1'(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))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) 1'(z) -{ 2 }-> 0'(0'(1'(1'(0'(0'(1'(1'(0'(1'(1'(0'(0'(0'(0'(0'(1'(0'(0'(1'(0'(1'(0'(1'(1'(1'(0'(1'(0'(0'(1'(0'(0'(1'(0'(0'(0'(0'(0'(1'(1'(0'(0'(0'(0'(0'(0'(0'(0'(1'(1'(0'(1'(0'(1'(0'(1'(0'(0'(0'(0'(0'(0'(1'(1'(0'(1'(0'(1'(0'(1'(0'(1'(1'(1'(0'(0'(1'(1'(0'(1'(0'(0'(1'(1'(0'(0'(1'(1'(0'(1'(1'(0'(0'(0'(0'(0'(1'(0'(0'(1'(0'(1'(0'(1'(1'(1'(0'(1'(0'(0'(1'(0'(0'(1'(0'(0'(0'(0'(0'(1'(1'(0'(0'(0'(0'(0'(0'(0'(0'(1'(1'(0'(1'(0'(1'(0'(1'(1'(1'(1'(1'(0'(1'(0'(0'(1'(1'(1'(1'(1'(0'(1'(1'(0'(0'(0'(1'(0'(0'(0'(0'(1'(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))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) 1'(z) -{ 2 }-> 0'(0'(1'(1'(0'(0'(1'(1'(0'(1'(1'(0'(0'(0'(0'(0'(1'(0'(0'(1'(0'(1'(0'(1'(1'(1'(0'(1'(0'(0'(1'(0'(0'(1'(0'(0'(0'(0'(0'(1'(1'(0'(0'(0'(0'(0'(0'(0'(0'(1'(1'(0'(1'(0'(1'(0'(1'(0'(0'(0'(0'(0'(0'(1'(1'(0'(1'(0'(1'(0'(1'(0'(1'(1'(1'(0'(0'(1'(1'(0'(1'(0'(0'(1'(1'(0'(0'(1'(1'(0'(1'(1'(0'(0'(0'(0'(0'(1'(0'(0'(1'(0'(1'(0'(1'(1'(1'(0'(1'(0'(0'(1'(0'(0'(1'(0'(0'(0'(0'(0'(1'(1'(0'(0'(0'(0'(0'(0'(0'(0'(1'(1'(0'(1'(0'(1'(0'(1'(1'(1'(1'(1'(0'(1'(0'(0'(1'(1'(1'(1'(1'(0'(1'(1'(0'(0'(0'(1'(0'(0'(0'(0'(1'(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 1'(z) -{ 2 }-> 0'(0'(1'(1'(0'(0'(1'(1'(0'(1'(1'(0'(0'(0'(0'(0'(1'(0'(0'(1'(0'(1'(0'(1'(1'(1'(0'(1'(0'(0'(1'(0'(0'(1'(0'(0'(0'(0'(0'(1'(1'(0'(0'(0'(0'(0'(0'(0'(0'(1'(1'(0'(1'(0'(1'(0'(1'(0'(0'(0'(0'(0'(0'(1'(1'(0'(1'(0'(1'(0'(1'(0'(1'(1'(1'(0'(0'(1'(1'(0'(1'(0'(0'(1'(1'(0'(0'(1'(1'(0'(1'(1'(0'(0'(0'(0'(0'(1'(0'(0'(1'(0'(1'(0'(1'(1'(1'(0'(1'(0'(0'(1'(0'(0'(1'(0'(0'(0'(0'(0'(1'(1'(0'(0'(0'(0'(0'(0'(0'(0'(1'(1'(0'(1'(0'(1'(0'(1'(0'(0'(0'(0'(0'(0'(1'(1'(0'(1'(0'(1'(0'(1'(0'(1'(1'(1'(0'(0'(1'(1'(0'(1'(1'(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))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) 1'(z) -{ 2 }-> 0'(0'(1'(1'(0'(0'(1'(1'(0'(1'(1'(0'(0'(0'(0'(0'(1'(0'(0'(1'(0'(1'(0'(1'(1'(1'(0'(1'(0'(0'(1'(0'(0'(1'(0'(0'(0'(0'(0'(1'(1'(0'(0'(0'(0'(0'(0'(0'(0'(1'(1'(0'(1'(0'(1'(0'(1'(0'(0'(0'(0'(0'(0'(1'(1'(0'(1'(0'(1'(0'(1'(0'(1'(1'(1'(0'(0'(1'(1'(0'(1'(0'(0'(1'(1'(0'(0'(1'(1'(0'(1'(1'(0'(0'(0'(0'(0'(1'(0'(0'(1'(0'(1'(0'(1'(1'(1'(0'(1'(0'(0'(1'(0'(0'(0'(1'(0'(0'(0'(1'(0'(0'(0'(0'(1'(0'(1'(1'(0'(1'(0'(1'(1'(1'(0'(1'(1'(0'(0'(1'(0'(0'(1'(0'(1'(1'(0'(1'(0'(1'(0'(0'(1'(0'(1'(1'(0'(1'(0'(1'(0'(0'(1'(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 1'(z) -{ 1 }-> 0'(0'(1'(1'(0'(0'(1'(1'(0'(1'(1'(0'(0'(0'(0'(0'(1'(0'(0'(1'(0'(1'(0'(1'(1'(1'(0'(1'(0'(0'(1'(0'(0'(1'(0'(0'(0'(0'(0'(1'(1'(0'(0'(0'(0'(0'(0'(0'(0'(1'(1'(0'(1'(0'(1'(0'(1'(0'(0'(0'(0'(0'(0'(1'(1'(0'(1'(0'(1'(0'(1'(0'(1'(1'(1'(0'(0'(1'(1'(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'(1'(1'(0'(0'(1'(1'(0'(1'(1'(0'(0'(0'(0'(0'(1'(0'(0'(1'(0'(1'(0'(1'(1'(1'(0'(1'(0'(0'(1'(0'(0'(1'(0'(0'(0'(0'(0'(1'(1'(0'(0'(0'(0'(0'(0'(0'(0'(1'(1'(0'(1'(0'(1'(0'(1'(0'(0'(0'(0'(0'(0'(1'(1'(0'(1'(0'(1'(0'(1'(0'(1'(1'(1'(0'(0'(1'(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))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) 1'(z) -{ 1 }-> 0'(0'(1'(1'(0'(0'(1'(1'(0'(1'(1'(0'(0'(0'(0'(0'(1'(0'(0'(1'(0'(1'(0'(1'(1'(1'(0'(1'(0'(0'(1'(0'(0'(0'(1'(0'(0'(0'(1'(0'(0'(0'(0'(1'(0'(1'(1'(0'(1'(0'(1'(1'(1'(0'(1'(1'(0'(0'(1'(0'(0'(1'(0'(1'(1'(0'(1'(0'(1'(0'(0'(1'(0'(1'(1'(0'(1'(0'(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) -{ 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 ---------------------------------------- (29) SimplificationProof (BOTH BOUNDS(ID, ID)) Simplified the RNTS by moving equalities from the constraints into the right-hand sides. ---------------------------------------- (30) Obligation: Complexity RNTS consisting of the following rules: 0'(z) -{ 2 }-> 0'(0'(1'(1'(1'(1'(1'(0'(1'(1'(1'(1'(0'(1'(0'(1'(1'(0'(1'(0'(0'(1'(1'(1'(1'(0'(0'(0'(1'(0'(0'(1'(1'(1'(1'(0'(0'(1'(1'(0'(1'(0'(1'(1'(1'(0'(0'(0'(1'(0'(0'(1'(1'(1'(0'(0'(0'(0'(1'(1'(0'(0'(0'(1'(0'(0'(1'(0'(0'(0'(0'(0'(1'(1'(0'(0'(0'(0'(1'(0'(1'(1'(1'(0'(0'(0'(1'(1'(1'(0'(0'(1'(1'(0'(1'(0'(0'(0'(0'(0'(0'(1'(1'(0'(1'(0'(1'(0'(0'(0'(0'(1'(1'(1'(1'(0'(1'(1'(1'(0'(0'(0'(1'(1'(0'(1'(0'(0'(0'(0'(0'(1'(1'(0'(1'(1'(0'(1'(1'(1'(0'(0'(0'(0'(0'(1'(1'(1'(0'(0'(1'(1'(0'(0'(0'(1'(1'(0'(1'(0'(1'(1'(1'(z - 160))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: z - 160 >= 0 0'(z) -{ 1 }-> 0'(0'(1'(1'(1'(1'(1'(0'(1'(1'(1'(1'(0'(1'(0'(1'(1'(0'(1'(0'(0'(1'(1'(1'(1'(0'(0'(0'(1'(0'(0'(1'(1'(1'(1'(0'(0'(1'(1'(0'(1'(0'(1'(1'(1'(0'(0'(0'(1'(0'(0'(1'(1'(1'(0'(0'(0'(0'(1'(1'(0'(0'(0'(1'(0'(0'(1'(0'(0'(0'(0'(0'(1'(1'(0'(0'(0'(0'(1'(0'(1'(1'(0'(z - 80))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: z - 80 >= 0 0'(z) -{ 2 }-> 0'(0'(1'(1'(1'(1'(1'(0'(1'(1'(1'(1'(0'(1'(0'(1'(1'(0'(1'(0'(0'(1'(1'(1'(1'(0'(0'(0'(1'(0'(0'(1'(1'(1'(1'(0'(0'(1'(1'(0'(1'(0'(1'(1'(1'(0'(0'(0'(1'(0'(0'(1'(1'(1'(0'(0'(0'(0'(1'(1'(0'(0'(0'(1'(0'(0'(1'(0'(0'(0'(0'(0'(1'(1'(0'(0'(0'(0'(1'(0'(1'(0'(0'(1'(1'(1'(1'(1'(0'(1'(1'(1'(1'(0'(1'(0'(1'(1'(0'(1'(0'(0'(1'(1'(1'(1'(0'(0'(0'(1'(0'(0'(1'(1'(1'(1'(0'(0'(1'(1'(0'(1'(0'(1'(1'(1'(0'(0'(0'(1'(0'(0'(1'(1'(1'(0'(0'(0'(0'(1'(1'(0'(0'(0'(1'(0'(0'(1'(0'(0'(0'(0'(0'(1'(1'(1'(0'(0'(0'(0'(0'(0'(1'(z - 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0'(0'(1'(1'(1'(1'(1'(0'(1'(1'(1'(1'(0'(1'(0'(1'(1'(0'(1'(0'(0'(1'(1'(1'(1'(0'(0'(0'(1'(0'(0'(1'(1'(1'(1'(0'(0'(1'(1'(0'(1'(0'(1'(1'(1'(0'(0'(0'(1'(0'(0'(1'(1'(1'(0'(0'(0'(0'(1'(1'(0'(0'(0'(1'(0'(0'(1'(0'(0'(0'(0'(0'(1'(1'(0'(0'(0'(0'(1'(0'(1'(0'(0'(1'(1'(0'(0'(1'(1'(0'(1'(1'(0'(0'(0'(0'(0'(1'(0'(0'(1'(0'(1'(0'(1'(1'(1'(0'(1'(0'(0'(1'(0'(0'(1'(0'(0'(0'(0'(0'(1'(1'(0'(0'(0'(0'(0'(0'(0'(0'(1'(1'(0'(1'(0'(1'(0'(1'(1'(1'(1'(1'(0'(1'(0'(0'(1'(1'(1'(1'(1'(0'(1'(1'(0'(0'(0'(1'(0'(0'(0'(0'(1'(z - 160))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: z - 160 >= 0 0'(z) -{ 2 }-> 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0'(0'(1'(1'(1'(1'(1'(0'(1'(1'(1'(1'(0'(1'(0'(1'(1'(0'(1'(0'(0'(1'(1'(1'(1'(0'(0'(0'(1'(0'(0'(1'(1'(1'(1'(0'(0'(1'(1'(0'(1'(0'(1'(1'(1'(0'(0'(0'(1'(0'(0'(1'(1'(1'(0'(0'(0'(0'(1'(1'(0'(0'(0'(1'(0'(0'(1'(0'(0'(0'(0'(0'(1'(1'(0'(0'(0'(0'(1'(0'(1'(0'(0'(1'(1'(0'(0'(1'(1'(0'(1'(1'(0'(0'(0'(0'(0'(1'(0'(0'(1'(0'(1'(0'(1'(1'(1'(0'(1'(0'(0'(1'(0'(0'(0'(1'(0'(0'(0'(1'(0'(0'(0'(0'(1'(0'(1'(1'(0'(1'(0'(1'(1'(1'(0'(1'(1'(0'(0'(1'(0'(0'(1'(0'(1'(1'(0'(1'(0'(1'(0'(0'(1'(0'(1'(1'(0'(1'(0'(1'(0'(0'(1'(0'(0'(0'(0'(0'(z - 160)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: z - 160 >= 0 0'(z) -{ 1 }-> 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0'(0'(1'(1'(1'(1'(1'(0'(1'(1'(1'(1'(0'(1'(0'(1'(1'(0'(1'(0'(0'(1'(1'(1'(1'(0'(0'(0'(1'(0'(0'(1'(1'(1'(1'(0'(0'(1'(1'(0'(1'(0'(1'(1'(1'(0'(0'(0'(1'(0'(0'(1'(1'(1'(0'(0'(0'(0'(1'(1'(0'(0'(0'(1'(0'(0'(1'(0'(0'(0'(0'(0'(1'(1'(0'(0'(0'(0'(1'(0'(0'(1'(1'(0'(0'(0'(1'(1'(1'(0'(0'(1'(1'(0'(1'(0'(0'(0'(0'(0'(0'(1'(1'(0'(1'(0'(1'(0'(0'(0'(0'(1'(1'(1'(1'(0'(1'(1'(1'(0'(0'(0'(1'(1'(0'(1'(0'(0'(0'(0'(0'(1'(1'(0'(1'(1'(0'(1'(1'(1'(0'(0'(0'(0'(0'(1'(1'(1'(0'(0'(1'(1'(0'(0'(0'(1'(1'(0'(1'(0'(1'(1'(1'(z - 160))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: z - 160 >= 0 0'(z) -{ 2 }-> 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0'(0'(1'(1'(1'(1'(1'(0'(1'(1'(1'(1'(0'(1'(0'(1'(1'(0'(1'(0'(0'(1'(1'(1'(1'(0'(0'(0'(1'(0'(0'(1'(1'(1'(1'(0'(0'(1'(1'(0'(1'(0'(1'(1'(1'(0'(0'(0'(1'(0'(0'(1'(1'(1'(0'(0'(0'(0'(1'(1'(0'(0'(0'(1'(0'(0'(1'(0'(0'(0'(0'(0'(1'(1'(0'(0'(0'(0'(1'(0'(0'(0'(0'(1'(1'(0'(0'(1'(1'(0'(1'(1'(0'(0'(0'(0'(0'(1'(0'(0'(1'(0'(1'(0'(1'(1'(1'(0'(1'(0'(0'(1'(0'(0'(1'(0'(0'(0'(0'(0'(1'(1'(0'(0'(0'(0'(0'(0'(0'(0'(1'(1'(0'(1'(0'(1'(0'(1'(1'(1'(1'(1'(0'(1'(0'(0'(1'(1'(1'(1'(1'(0'(1'(1'(1'(1'(0'(1'(1'(1'(1'(1'(1'(z - 160))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: z - 160 >= 0 0'(z) -{ 2 }-> 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0'(0'(1'(1'(0'(0'(1'(1'(0'(1'(1'(0'(0'(0'(0'(0'(1'(0'(0'(1'(0'(1'(0'(1'(1'(1'(0'(1'(0'(0'(1'(0'(0'(1'(0'(0'(0'(0'(0'(1'(1'(0'(0'(0'(0'(0'(0'(0'(0'(1'(1'(0'(1'(0'(1'(0'(1'(0'(0'(0'(0'(0'(0'(1'(1'(0'(1'(0'(1'(0'(1'(0'(1'(1'(1'(0'(0'(1'(1'(0'(1'(0'(0'(1'(1'(1'(1'(1'(0'(1'(1'(1'(1'(0'(1'(0'(1'(1'(0'(1'(0'(0'(1'(1'(1'(1'(0'(0'(0'(1'(0'(0'(1'(1'(1'(1'(0'(0'(1'(1'(0'(1'(0'(1'(1'(1'(0'(0'(0'(1'(0'(0'(1'(1'(1'(0'(0'(0'(0'(1'(1'(0'(0'(0'(1'(0'(0'(1'(0'(0'(0'(0'(0'(1'(1'(1'(0'(0'(0'(0'(0'(0'(1'(z - 160))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: z - 160 >= 0 1'(z) -{ 2 }-> 0'(0'(1'(1'(0'(0'(1'(1'(0'(1'(1'(0'(0'(0'(0'(0'(1'(0'(0'(1'(0'(1'(0'(1'(1'(1'(0'(1'(0'(0'(1'(0'(0'(1'(0'(0'(0'(0'(0'(1'(1'(0'(0'(0'(0'(0'(0'(0'(0'(1'(1'(0'(1'(0'(1'(0'(1'(0'(0'(0'(0'(0'(0'(1'(1'(0'(1'(0'(1'(0'(1'(0'(1'(1'(1'(0'(0'(1'(1'(0'(1'(0'(0'(1'(1'(0'(0'(1'(1'(0'(1'(1'(0'(0'(0'(0'(0'(1'(0'(0'(1'(0'(1'(0'(1'(1'(1'(0'(1'(0'(0'(1'(0'(0'(1'(0'(0'(0'(0'(0'(1'(1'(0'(0'(0'(0'(0'(0'(0'(0'(1'(1'(0'(1'(0'(1'(0'(1'(1'(1'(1'(1'(0'(1'(0'(0'(1'(1'(1'(1'(1'(0'(1'(1'(1'(1'(0'(1'(1'(1'(1'(1'(1'(z - 160))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: z - 160 >= 0 1'(z) -{ 2 }-> 0'(0'(1'(1'(0'(0'(1'(1'(0'(1'(1'(0'(0'(0'(0'(0'(1'(0'(0'(1'(0'(1'(0'(1'(1'(1'(0'(1'(0'(0'(1'(0'(0'(1'(0'(0'(0'(0'(0'(1'(1'(0'(0'(0'(0'(0'(0'(0'(0'(1'(1'(0'(1'(0'(1'(0'(1'(0'(0'(0'(0'(0'(0'(1'(1'(0'(1'(0'(1'(0'(1'(0'(1'(1'(1'(0'(0'(1'(1'(0'(1'(0'(0'(1'(1'(0'(0'(1'(1'(0'(1'(1'(0'(0'(0'(0'(0'(1'(0'(0'(1'(0'(1'(0'(1'(1'(1'(0'(1'(0'(0'(1'(0'(0'(1'(0'(0'(0'(0'(0'(1'(1'(0'(0'(0'(0'(0'(0'(0'(0'(1'(1'(0'(1'(0'(1'(0'(1'(1'(1'(1'(1'(0'(1'(0'(0'(1'(1'(1'(1'(1'(0'(1'(1'(0'(0'(0'(1'(0'(0'(0'(0'(1'(z - 160))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: z - 160 >= 0 1'(z) -{ 2 }-> 0'(0'(1'(1'(0'(0'(1'(1'(0'(1'(1'(0'(0'(0'(0'(0'(1'(0'(0'(1'(0'(1'(0'(1'(1'(1'(0'(1'(0'(0'(1'(0'(0'(1'(0'(0'(0'(0'(0'(1'(1'(0'(0'(0'(0'(0'(0'(0'(0'(1'(1'(0'(1'(0'(1'(0'(1'(0'(0'(0'(0'(0'(0'(1'(1'(0'(1'(0'(1'(0'(1'(0'(1'(1'(1'(0'(0'(1'(1'(0'(1'(0'(0'(1'(1'(0'(0'(1'(1'(0'(1'(1'(0'(0'(0'(0'(0'(1'(0'(0'(1'(0'(1'(0'(1'(1'(1'(0'(1'(0'(0'(1'(0'(0'(1'(0'(0'(0'(0'(0'(1'(1'(0'(0'(0'(0'(0'(0'(0'(0'(1'(1'(0'(1'(0'(1'(0'(1'(0'(0'(0'(0'(0'(0'(1'(1'(0'(1'(0'(1'(0'(1'(0'(1'(1'(1'(0'(0'(1'(1'(0'(1'(1'(z - 160))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: z - 160 >= 0 1'(z) -{ 2 }-> 0'(0'(1'(1'(0'(0'(1'(1'(0'(1'(1'(0'(0'(0'(0'(0'(1'(0'(0'(1'(0'(1'(0'(1'(1'(1'(0'(1'(0'(0'(1'(0'(0'(1'(0'(0'(0'(0'(0'(1'(1'(0'(0'(0'(0'(0'(0'(0'(0'(1'(1'(0'(1'(0'(1'(0'(1'(0'(0'(0'(0'(0'(0'(1'(1'(0'(1'(0'(1'(0'(1'(0'(1'(1'(1'(0'(0'(1'(1'(0'(1'(0'(0'(1'(1'(0'(0'(1'(1'(0'(1'(1'(0'(0'(0'(0'(0'(1'(0'(0'(1'(0'(1'(0'(1'(1'(1'(0'(1'(0'(0'(1'(0'(0'(0'(1'(0'(0'(0'(1'(0'(0'(0'(0'(1'(0'(1'(1'(0'(1'(0'(1'(1'(1'(0'(1'(1'(0'(0'(1'(0'(0'(1'(0'(1'(1'(0'(1'(0'(1'(0'(0'(1'(0'(1'(1'(0'(1'(0'(1'(0'(0'(1'(0'(0'(0'(0'(0'(z - 160)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: z - 160 >= 0 1'(z) -{ 1 }-> 0'(0'(1'(1'(0'(0'(1'(1'(0'(1'(1'(0'(0'(0'(0'(0'(1'(0'(0'(1'(0'(1'(0'(1'(1'(1'(0'(1'(0'(0'(1'(0'(0'(1'(0'(0'(0'(0'(0'(1'(1'(0'(0'(0'(0'(0'(0'(0'(0'(1'(1'(0'(1'(0'(1'(0'(1'(0'(0'(0'(0'(0'(0'(1'(1'(0'(1'(0'(1'(0'(1'(0'(1'(1'(1'(0'(0'(1'(1'(0'(1'(0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: z - 80 >= 0 1'(z) -{ 1 }-> 0'(0'(1'(1'(0'(0'(1'(1'(0'(1'(1'(0'(0'(0'(0'(0'(1'(0'(0'(1'(0'(1'(0'(1'(1'(1'(0'(1'(0'(0'(1'(0'(0'(1'(0'(0'(0'(0'(0'(1'(1'(0'(0'(0'(0'(0'(0'(0'(0'(1'(1'(0'(1'(0'(1'(0'(1'(0'(0'(0'(0'(0'(0'(1'(1'(0'(1'(0'(1'(0'(1'(0'(1'(1'(1'(0'(0'(1'(1'(0'(1'(1 + (z - 80)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: z - 80 >= 0 1'(z) -{ 1 }-> 0'(0'(1'(1'(0'(0'(1'(1'(0'(1'(1'(0'(0'(0'(0'(0'(1'(0'(0'(1'(0'(1'(0'(1'(1'(1'(0'(1'(0'(0'(1'(0'(0'(0'(1'(0'(0'(0'(1'(0'(0'(0'(0'(1'(0'(1'(1'(0'(1'(0'(1'(1'(1'(0'(1'(1'(0'(0'(1'(0'(0'(1'(0'(1'(1'(0'(1'(0'(1'(0'(0'(1'(0'(1'(1'(0'(1'(0'(1'(0'(0'(1'(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 ---------------------------------------- (31) CompletionProof (UPPER BOUND(ID)) The TRS is a completely defined constructor system, as every type has a constant constructor and the following rules were added: encArg(v0) -> null_encArg [0] encode_0(v0) -> null_encode_0 [0] encode_1(v0) -> null_encode_1 [0] 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 ---------------------------------------- (32) Obligation: Runtime Complexity Weighted TRS where all functions are completely defined. The underlying TRS is: Runtime Complexity Weighted TRS with Types. The TRS R consists of the following rules: 0'(c_0(c_1(c_1(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_1(c_0(c_0(c_1(c_1(c_1(c_1(c_0(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_1(c_0(c_1(c_1(c_0(c_0(c_0(c_1(c_1(c_1(c_0(c_1(c_0(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_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_1(c_0(x1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> 0'(0'(1'(1'(1'(1'(1'(0'(1'(1'(1'(1'(0'(1'(0'(1'(1'(0'(1'(0'(0'(1'(1'(1'(1'(0'(0'(0'(1'(0'(0'(1'(1'(1'(1'(0'(0'(1'(1'(0'(1'(0'(1'(1'(1'(0'(0'(0'(1'(0'(0'(1'(1'(1'(0'(0'(0'(0'(1'(1'(0'(0'(0'(1'(0'(0'(1'(0'(0'(0'(0'(0'(1'(1'(0'(0'(0'(0'(1'(0'(1'(1'(0'(x1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) [1] 0'(c_0(c_1(c_1(c_0(c_0(c_1(c_1(c_0(c_1(c_1(c_0(c_0(c_0(c_0(c_0(c_1(c_0(c_0(c_1(c_0(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_1(c_0(c_0(c_0(c_0(c_0(c_1(c_1(c_0(c_0(c_0(c_0(c_0(c_0(c_0(c_0(c_1(c_1(c_0(c_1(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_1(c_1(c_1(c_1(c_1(c_0(c_1(c_0(c_0(c_1(c_0(c_1(c_0(c_1(c_0(c_0(x1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> 0'(0'(1'(1'(0'(0'(1'(1'(0'(1'(1'(0'(0'(0'(0'(0'(1'(0'(0'(1'(0'(1'(0'(1'(1'(1'(0'(1'(0'(0'(1'(0'(0'(1'(0'(0'(0'(0'(0'(1'(1'(0'(0'(0'(0'(0'(0'(0'(0'(1'(1'(0'(1'(0'(1'(0'(1'(1'(1'(1'(1'(0'(1'(0'(0'(1'(0'(0'(1'(0'(0'(1'(1'(0'(0'(1'(1'(0'(0'(0'(1'(1'(0'(x1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) [1] 0'(c_0(c_1(c_1(c_0(c_0(c_1(c_1(c_0(c_1(c_1(c_0(c_0(c_0(c_0(c_0(c_1(c_0(c_0(c_1(c_0(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_1(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_1(c_0(c_1(c_1(c_1(c_0(c_1(c_0(c_1(c_0(c_0(c_0(c_1(c_0(c_1(c_0(c_0(c_0(c_0(c_1(c_0(c_1(c_1(c_0(c_1(c_1(c_1(c_1(c_1(c_1(c_0(c_0(c_0(c_1(c_0(x1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> 0'(0'(1'(1'(0'(0'(1'(1'(0'(1'(1'(0'(0'(0'(0'(0'(1'(0'(0'(1'(0'(1'(0'(1'(1'(1'(0'(1'(0'(0'(1'(0'(0'(1'(0'(0'(0'(0'(0'(1'(1'(0'(0'(0'(0'(0'(0'(0'(0'(1'(1'(0'(1'(0'(1'(0'(1'(1'(1'(1'(1'(0'(1'(0'(0'(1'(1'(1'(1'(1'(0'(1'(1'(1'(1'(0'(1'(1'(0'(1'(0'(1'(x1)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) [1] 1'(c_1(c_0(c_0(c_1(c_0(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_1(c_1(c_1(c_1(c_1(c_1(c_0(c_0(c_1(c_1(c_1(c_0(c_0(c_0(c_0(c_0(c_1(c_1(c_0(c_1(c_1(c_1(c_0(c_0(c_0(c_1(c_1(c_1(c_1(c_1(c_1(c_1(c_1(c_0(c_0(c_0(c_1(c_1(c_1(c_1(c_0(c_0(c_0(c_0(c_1(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_1(x1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> 1'(1'(0'(0'(0'(1'(1'(1'(0'(0'(1'(1'(0'(1'(0'(0'(0'(0'(0'(0'(1'(1'(0'(1'(0'(1'(0'(0'(0'(0'(1'(1'(1'(1'(0'(1'(1'(1'(0'(0'(0'(1'(1'(0'(1'(0'(0'(0'(0'(0'(1'(1'(0'(1'(1'(0'(1'(1'(1'(0'(0'(0'(0'(0'(1'(1'(1'(0'(0'(1'(1'(0'(0'(0'(1'(1'(0'(1'(0'(1'(1'(1'(x1)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) [1] 0'(c_0(c_1(c_1(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_1(c_0(c_0(c_1(c_1(c_1(c_1(c_0(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_1(c_0(c_1(c_1(c_0(c_0(c_0(c_1(c_1(c_1(c_0(c_1(c_0(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_0(c_0(c_1(c_0(c_1(c_1(c_0(c_1(c_0(c_0(c_0(c_1(c_1(c_1(c_0(c_0(x1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> 0'(0'(1'(1'(1'(1'(1'(0'(1'(1'(1'(1'(0'(1'(0'(1'(1'(0'(1'(0'(0'(1'(1'(1'(1'(0'(0'(0'(1'(0'(0'(1'(1'(1'(1'(0'(0'(1'(1'(0'(1'(0'(1'(1'(1'(0'(0'(0'(1'(0'(0'(1'(1'(1'(0'(0'(0'(0'(1'(1'(0'(0'(0'(1'(0'(0'(1'(0'(0'(0'(0'(0'(1'(1'(0'(0'(0'(0'(1'(0'(1'(1'(x1)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) [1] 0'(c_0(c_1(c_1(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_1(c_0(c_0(c_1(c_1(c_1(c_1(c_0(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_1(c_0(c_1(c_1(c_0(c_0(c_0(c_1(c_1(c_1(c_0(c_1(c_0(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_0(c_0(c_1(c_0(c_1(c_1(c_0(c_1(c_0(c_0(c_1(c_1(c_0(c_1(c_0(c_0(x1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> 0'(0'(1'(1'(0'(0'(1'(1'(0'(1'(1'(0'(0'(0'(0'(0'(1'(0'(0'(1'(0'(1'(0'(1'(1'(1'(0'(1'(0'(0'(1'(0'(0'(1'(0'(1'(0'(0'(1'(0'(0'(1'(1'(0'(1'(0'(1'(0'(1'(1'(1'(0'(1'(0'(1'(0'(0'(0'(1'(0'(1'(0'(0'(0'(0'(1'(0'(1'(1'(0'(1'(1'(1'(1'(1'(0'(0'(1'(0'(1'(0'(1'(x1)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) [1] 0'(c_0(c_1(c_1(c_0(c_0(c_1(c_1(c_0(c_1(c_1(c_0(c_0(c_0(c_0(c_0(c_1(c_0(c_0(c_1(c_0(c_1(c_0(c_1(c_1(c_0(c_1(c_0(c_0(c_1(c_0(c_0(c_0(c_0(c_1(c_1(c_0(c_1(c_0(c_1(c_0(c_1(c_0(c_0(c_1(c_1(c_0(c_0(c_1(c_0(c_0(c_1(c_0(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_0(c_1(c_0(c_1(c_1(c_0(c_1(c_1(c_0(c_0(c_1(c_1(c_0(c_0(c_0(x1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> 0'(0'(1'(1'(0'(0'(1'(1'(0'(1'(1'(0'(0'(0'(0'(0'(1'(0'(0'(1'(0'(1'(0'(1'(1'(0'(1'(0'(0'(1'(0'(0'(0'(0'(1'(1'(0'(1'(0'(1'(0'(1'(0'(0'(1'(1'(0'(0'(1'(0'(0'(1'(0'(1'(0'(1'(1'(1'(1'(0'(1'(0'(1'(0'(1'(1'(0'(0'(0'(0'(1'(1'(1'(0'(1'(0'(0'(0'(0'(0'(0'(1'(0'(0'(x1)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) [1] 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1'(c_1(c_0(c_0(c_1(c_0(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_1(c_1(c_1(c_1(c_1(c_1(c_0(c_0(c_1(c_1(c_1(c_0(c_0(c_0(c_0(c_0(c_1(c_1(c_0(c_1(c_1(c_1(c_0(c_0(c_0(c_1(c_1(c_1(c_1(c_1(c_1(c_1(c_1(c_0(c_0(c_0(c_1(c_1(c_1(c_1(c_0(c_0(c_0(c_0(c_1(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_1(c_1(c_1(x1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> 0'(0'(1'(1'(0'(0'(1'(1'(0'(1'(1'(0'(0'(0'(0'(0'(1'(0'(0'(1'(0'(1'(0'(1'(1'(1'(0'(1'(0'(0'(1'(0'(0'(1'(0'(0'(0'(0'(0'(1'(1'(0'(0'(0'(0'(0'(0'(0'(0'(1'(1'(0'(1'(0'(1'(0'(1'(1'(1'(1'(1'(0'(1'(0'(0'(1'(1'(1'(1'(1'(0'(1'(1'(1'(1'(0'(1'(1'(1'(1'(1'(1'(x1)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) [1] 0'(c_0(c_1(c_1(c_0(c_0(c_1(c_1(c_0(c_1(c_1(c_0(c_0(c_0(c_0(c_0(c_1(c_0(c_0(c_1(c_0(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_0(c_0(c_0(c_1(c_0(c_0(c_0(c_0(c_1(c_0(c_1(c_1(c_0(c_1(c_0(c_1(c_1(c_1(c_0(c_1(c_1(c_0(c_0(c_1(c_0(c_0(c_1(c_0(c_1(c_1(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(c_0(c_0(x1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> 0'(0'(1'(1'(0'(0'(1'(1'(0'(1'(1'(0'(0'(0'(0'(0'(1'(0'(0'(1'(0'(1'(0'(1'(1'(1'(0'(1'(0'(0'(1'(0'(0'(1'(0'(0'(0'(0'(0'(1'(1'(0'(0'(0'(0'(0'(0'(0'(0'(1'(1'(0'(1'(0'(1'(0'(1'(1'(1'(1'(1'(0'(1'(0'(0'(1'(1'(1'(1'(1'(0'(1'(1'(0'(0'(0'(1'(0'(1'(0'(0'(1'(x1)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) [1] 0'(c_0(c_1(c_1(c_0(c_0(c_1(c_1(c_0(c_1(c_1(c_0(c_0(c_0(c_0(c_0(c_1(c_0(c_0(c_1(c_0(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_1(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_1(c_0(c_1(c_1(c_1(c_0(c_1(c_0(c_1(c_0(c_0(c_0(c_1(c_0(c_1(c_0(c_0(c_0(c_0(c_1(c_0(c_1(c_1(c_0(c_1(c_1(c_1(c_1(c_1(c_0(c_0(c_1(c_0(c_1(c_0(x1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> 0'(0'(1'(1'(0'(0'(1'(1'(0'(1'(1'(0'(0'(0'(0'(0'(1'(0'(0'(1'(0'(1'(0'(1'(1'(1'(0'(1'(0'(0'(1'(0'(0'(1'(0'(0'(0'(0'(0'(1'(1'(0'(0'(0'(0'(0'(0'(0'(0'(1'(1'(0'(1'(0'(1'(0'(1'(0'(0'(0'(0'(0'(0'(1'(1'(0'(1'(0'(1'(0'(1'(0'(1'(1'(1'(0'(0'(1'(1'(1'(1'(1'(x1)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) [1] 0'(c_0(c_1(c_1(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_1(c_0(c_0(c_1(c_1(c_1(c_1(c_0(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_1(c_0(c_1(c_1(c_0(c_0(c_0(c_1(c_1(c_1(c_0(c_1(c_0(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_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_0(x1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> 0'(0'(1'(1'(0'(0'(1'(1'(0'(1'(1'(0'(0'(0'(0'(0'(1'(0'(0'(1'(0'(1'(0'(1'(1'(1'(0'(1'(0'(0'(1'(0'(0'(1'(0'(1'(0'(0'(1'(0'(0'(1'(1'(0'(1'(0'(1'(0'(1'(1'(1'(0'(1'(0'(1'(0'(0'(0'(1'(0'(1'(0'(0'(0'(0'(1'(0'(1'(1'(0'(1'(1'(1'(1'(1'(0'(0'(1'(0'(0'(0'(1'(0'(0'(x1)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) [1] 0'(c_0(c_1(c_0(c_1(c_0(c_1(c_1(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_0(c_1(c_1(c_1(c_1(c_0(c_0(c_0(c_0(c_0(c_0(c_0(c_1(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(c_1(c_1(c_0(c_1(c_1(c_0(c_0(c_1(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_1(c_0(c_0(c_1(c_0(c_1(c_1(c_1(c_1(c_1(c_1(c_1(c_1(c_0(c_1(x1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> 0'(0'(1'(1'(0'(0'(1'(1'(0'(1'(1'(0'(0'(0'(0'(0'(1'(0'(0'(1'(0'(1'(0'(1'(1'(1'(0'(1'(0'(0'(1'(0'(0'(1'(0'(0'(0'(0'(0'(1'(1'(0'(0'(0'(0'(0'(0'(0'(0'(1'(1'(0'(1'(0'(1'(0'(1'(1'(1'(1'(1'(0'(1'(0'(0'(1'(0'(0'(1'(0'(0'(1'(1'(0'(0'(1'(1'(0'(0'(0'(1'(1'(0'(x1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) [1] 0'(c_0(c_1(c_0(c_1(c_0(c_1(c_1(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_0(c_1(c_1(c_1(c_1(c_0(c_0(c_0(c_0(c_0(c_0(c_0(c_1(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(c_1(c_1(c_0(c_1(c_1(c_0(c_0(c_1(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_1(c_0(c_0(c_1(c_0(c_1(c_1(c_1(c_1(c_1(c_1(c_1(c_1(c_0(c_1(x1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> 0'(0'(1'(1'(0'(0'(1'(1'(0'(1'(1'(0'(0'(0'(0'(0'(1'(0'(0'(1'(0'(1'(0'(1'(1'(0'(1'(0'(0'(1'(0'(0'(0'(0'(1'(1'(0'(1'(0'(1'(0'(1'(0'(0'(1'(1'(0'(0'(1'(0'(0'(1'(0'(1'(0'(1'(1'(1'(1'(0'(1'(0'(1'(0'(1'(1'(0'(0'(0'(0'(1'(1'(1'(0'(1'(0'(0'(0'(0'(0'(0'(1'(x1)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) [1] 0'(c_0(c_1(c_1(c_0(c_0(c_1(c_1(c_0(c_1(c_1(c_0(c_0(c_0(c_0(c_0(c_1(c_0(c_0(c_1(c_0(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_1(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_1(c_0(c_1(c_1(c_1(c_0(c_1(c_0(c_1(c_0(c_0(c_0(c_1(c_0(c_1(c_0(c_0(c_0(c_0(c_1(c_0(c_1(c_1(c_0(c_1(c_1(c_1(c_1(c_1(c_1(c_0(c_0(c_1(c_0(c_1(x1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> 0'(0'(1'(1'(0'(0'(1'(1'(0'(1'(1'(0'(0'(0'(0'(0'(1'(0'(0'(1'(0'(1'(0'(1'(1'(1'(0'(1'(0'(0'(1'(0'(0'(1'(0'(0'(0'(0'(0'(1'(1'(0'(0'(0'(0'(0'(0'(0'(0'(1'(1'(0'(1'(0'(1'(0'(1'(1'(1'(1'(1'(0'(1'(0'(0'(1'(1'(1'(1'(1'(0'(1'(1'(1'(1'(0'(1'(1'(1'(1'(1'(1'(x1)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) [1] 0'(c_0(c_1(c_1(c_0(c_0(c_1(c_1(c_0(c_1(c_1(c_0(c_0(c_0(c_0(c_0(c_1(c_0(c_0(c_1(c_0(c_1(c_0(c_1(c_1(c_0(c_1(c_0(c_0(c_1(c_0(c_0(c_0(c_0(c_1(c_1(c_0(c_1(c_0(c_1(c_0(c_1(c_0(c_0(c_1(c_1(c_0(c_0(c_1(c_0(c_0(c_1(c_0(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_0(c_0(c_0(c_0(c_1(c_1(c_1(c_0(c_0(c_1(c_0(c_1(c_0(c_1(c_1(x1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> 0'(0'(1'(1'(0'(0'(1'(1'(0'(1'(1'(0'(0'(0'(0'(0'(1'(0'(0'(1'(0'(1'(0'(1'(1'(1'(0'(1'(0'(0'(1'(0'(0'(1'(0'(0'(0'(0'(0'(1'(1'(0'(0'(0'(0'(0'(0'(0'(0'(1'(1'(0'(1'(0'(1'(0'(1'(0'(0'(0'(0'(0'(0'(1'(1'(0'(1'(0'(1'(0'(1'(0'(1'(1'(1'(0'(0'(1'(1'(1'(1'(1'(x1)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) [1] 0'(c_0(c_1(c_1(c_0(c_0(c_1(c_1(c_0(c_1(c_1(c_0(c_0(c_0(c_0(c_0(c_1(c_0(c_0(c_1(c_0(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_0(c_0(c_0(c_1(c_0(c_0(c_0(c_0(c_1(c_0(c_1(c_1(c_0(c_1(c_0(c_1(c_1(c_1(c_0(c_1(c_1(c_0(c_0(c_1(c_0(c_0(c_1(c_0(c_1(c_1(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(c_0(c_0(x1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> 0'(0'(1'(1'(0'(0'(1'(1'(0'(1'(1'(0'(0'(0'(0'(0'(1'(0'(0'(1'(0'(1'(0'(1'(1'(1'(0'(1'(0'(0'(1'(0'(0'(1'(0'(0'(0'(0'(0'(1'(1'(0'(0'(0'(0'(0'(0'(0'(0'(1'(1'(0'(1'(0'(1'(0'(1'(0'(0'(0'(0'(0'(0'(1'(1'(0'(1'(0'(1'(0'(1'(0'(1'(1'(1'(0'(0'(1'(1'(1'(1'(1'(x1)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) [1] 0'(c_0(c_1(c_1(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_1(c_0(c_0(c_1(c_1(c_1(c_1(c_0(c_1(c_0(c_0(c_0(c_1(c_0(c_1(c_1(c_1(c_1(c_0(c_0(c_0(c_1(c_1(c_0(c_1(c_1(c_1(c_0(c_1(c_0(c_0(c_0(c_0(c_1(c_0(c_1(c_1(c_0(c_0(c_0(c_1(c_0(c_0(c_1(c_0(c_1(c_0(c_1(c_0(c_1(c_0(c_0(c_1(c_1(c_1(c_0(c_1(c_0(c_1(c_1(c_1(c_1(c_1(x1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> 0'(0'(1'(1'(0'(0'(1'(1'(0'(1'(1'(0'(0'(0'(0'(0'(1'(0'(0'(1'(0'(1'(0'(1'(1'(1'(0'(1'(0'(0'(1'(0'(0'(1'(0'(1'(0'(0'(1'(0'(0'(1'(1'(0'(1'(0'(1'(0'(1'(1'(1'(0'(1'(0'(1'(0'(0'(0'(1'(0'(1'(0'(0'(0'(0'(1'(0'(1'(1'(0'(1'(1'(1'(1'(1'(0'(0'(1'(0'(0'(1'(1'(x1)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) [1] 0'(c_0(c_1(c_1(c_0(c_0(c_1(c_1(c_0(c_1(c_1(c_0(c_0(c_0(c_0(c_0(c_1(c_0(c_0(c_1(c_0(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_1(c_0(c_0(c_0(c_0(c_0(c_1(c_1(c_0(c_0(c_0(c_0(c_0(c_0(c_0(c_0(c_1(c_1(c_0(c_1(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_1(c_1(c_1(c_1(c_1(c_0(c_1(c_0(c_0(c_1(c_0(c_1(c_0(c_1(c_0(c_0(x1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> 0'(0'(1'(1'(0'(0'(1'(1'(0'(1'(1'(0'(0'(0'(0'(0'(1'(0'(0'(1'(0'(1'(0'(1'(1'(1'(0'(1'(0'(0'(1'(0'(0'(1'(0'(0'(0'(0'(0'(1'(1'(0'(0'(0'(0'(0'(0'(0'(0'(1'(1'(0'(1'(0'(1'(0'(1'(0'(0'(0'(0'(0'(0'(1'(1'(0'(1'(0'(1'(0'(1'(0'(1'(1'(1'(0'(0'(1'(1'(1'(1'(1'(x1)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) [1] 1'(c_0(c_0(c_1(c_1(c_0(c_1(c_1(c_0(c_0(c_0(c_0(c_0(c_1(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_0(c_0(c_1(c_0(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_1(c_1(c_0(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_1(c_1(c_1(c_1(c_0(c_1(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_1(c_1(c_0(c_1(c_1(x1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> 0'(0'(1'(1'(0'(0'(1'(1'(0'(1'(1'(0'(0'(0'(0'(0'(1'(0'(0'(1'(0'(1'(0'(1'(1'(1'(0'(1'(0'(0'(1'(0'(0'(0'(1'(0'(0'(0'(1'(0'(0'(0'(0'(1'(0'(1'(1'(0'(1'(0'(1'(1'(1'(0'(1'(1'(0'(0'(1'(0'(0'(1'(0'(1'(1'(0'(1'(0'(1'(0'(0'(1'(0'(1'(1'(0'(1'(0'(1'(0'(0'(1'(0'(0'(0'(0'(0'(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 ---------------------------------------- (33) CpxTypedWeightedTrsToRntsProof (UPPER BOUND(ID)) Transformed the TRS into an over-approximating RNTS by (improved) Size Abstraction. The constant constructors are abstracted as follows: null_encArg => 0 null_encode_0 => 0 null_encode_1 => 0 null_0' => 0 null_1' => 0 const => 0 ---------------------------------------- (34) Obligation: Complexity RNTS consisting of the following rules: 0'(z) -{ 1 }-> 0'(0'(1'(1'(1'(1'(1'(0'(1'(1'(1'(1'(0'(1'(0'(1'(1'(0'(1'(0'(0'(1'(1'(1'(1'(0'(0'(0'(1'(0'(0'(1'(1'(1'(1'(0'(0'(1'(1'(0'(1'(0'(1'(1'(1'(0'(0'(0'(1'(0'(0'(1'(1'(1'(0'(0'(0'(0'(1'(1'(0'(0'(0'(1'(0'(0'(1'(0'(0'(0'(0'(0'(1'(1'(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'(1'(1'(1'(1'(1'(0'(1'(1'(1'(1'(0'(1'(0'(1'(1'(0'(1'(0'(0'(1'(1'(1'(1'(0'(0'(0'(1'(0'(0'(1'(1'(1'(1'(0'(0'(1'(1'(0'(1'(0'(1'(1'(1'(0'(0'(0'(1'(0'(0'(1'(1'(1'(0'(0'(0'(0'(1'(1'(0'(0'(0'(1'(0'(0'(1'(0'(0'(0'(0'(0'(1'(1'(0'(0'(0'(0'(1'(0'(1'(1'(0'(x1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) 0'(z) -{ 1 }-> 0'(0'(1'(1'(1'(1'(1'(0'(1'(1'(1'(1'(0'(1'(0'(1'(1'(0'(1'(0'(0'(1'(1'(1'(1'(0'(0'(0'(1'(0'(0'(1'(1'(1'(1'(0'(0'(1'(1'(0'(1'(0'(1'(1'(1'(0'(0'(0'(1'(0'(0'(1'(1'(1'(0'(0'(0'(0'(1'(1'(0'(0'(0'(1'(0'(0'(1'(0'(0'(0'(0'(0'(1'(1'(0'(0'(0'(0'(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'(1'(0'(0'(1'(1'(0'(1'(1'(0'(0'(0'(0'(0'(1'(0'(0'(1'(0'(1'(0'(1'(1'(1'(0'(1'(0'(0'(1'(0'(0'(1'(0'(1'(0'(0'(1'(0'(0'(1'(1'(0'(1'(0'(1'(0'(1'(1'(1'(0'(1'(0'(1'(0'(0'(0'(1'(0'(1'(0'(0'(0'(0'(1'(0'(1'(1'(0'(1'(1'(1'(1'(1'(0'(0'(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) -{ 1 }-> 0'(0'(1'(1'(0'(0'(1'(1'(0'(1'(1'(0'(0'(0'(0'(0'(1'(0'(0'(1'(0'(1'(0'(1'(1'(1'(0'(1'(0'(0'(1'(0'(0'(1'(0'(1'(0'(0'(1'(0'(0'(1'(1'(0'(1'(0'(1'(0'(1'(1'(1'(0'(1'(0'(1'(0'(0'(0'(1'(0'(1'(0'(0'(0'(0'(1'(0'(1'(1'(0'(1'(1'(1'(1'(1'(0'(0'(1'(0'(1'(0'(1'(x1)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) 0'(z) -{ 1 }-> 0'(0'(1'(1'(0'(0'(1'(1'(0'(1'(1'(0'(0'(0'(0'(0'(1'(0'(0'(1'(0'(1'(0'(1'(1'(1'(0'(1'(0'(0'(1'(0'(0'(1'(0'(1'(0'(0'(1'(0'(0'(1'(1'(0'(1'(0'(1'(0'(1'(1'(1'(0'(1'(0'(1'(0'(0'(0'(1'(0'(1'(0'(0'(0'(0'(1'(0'(1'(1'(0'(1'(1'(1'(1'(1'(0'(0'(1'(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'(1'(1'(0'(0'(1'(1'(0'(1'(1'(0'(0'(0'(0'(0'(1'(0'(0'(1'(0'(1'(0'(1'(1'(1'(0'(1'(0'(0'(1'(0'(0'(1'(0'(1'(0'(0'(1'(0'(0'(1'(1'(0'(1'(0'(1'(0'(1'(1'(1'(0'(1'(0'(1'(0'(0'(0'(1'(0'(1'(0'(0'(0'(0'(1'(0'(1'(1'(0'(1'(1'(1'(1'(1'(0'(0'(1'(0'(0'(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))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) 0'(z) -{ 1 }-> 0'(0'(1'(1'(0'(0'(1'(1'(0'(1'(1'(0'(0'(0'(0'(0'(1'(0'(0'(1'(0'(1'(0'(1'(1'(1'(0'(1'(0'(0'(1'(0'(0'(1'(0'(0'(0'(0'(0'(1'(1'(0'(0'(0'(0'(0'(0'(0'(0'(1'(1'(0'(1'(0'(1'(0'(1'(1'(1'(1'(1'(0'(1'(0'(0'(1'(1'(1'(1'(1'(0'(1'(1'(1'(1'(0'(1'(1'(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'(1'(1'(0'(0'(1'(1'(0'(1'(1'(0'(0'(0'(0'(0'(1'(0'(0'(1'(0'(1'(0'(1'(1'(1'(0'(1'(0'(0'(1'(0'(0'(1'(0'(0'(0'(0'(0'(1'(1'(0'(0'(0'(0'(0'(0'(0'(0'(1'(1'(0'(1'(0'(1'(0'(1'(1'(1'(1'(1'(0'(1'(0'(0'(1'(1'(1'(1'(1'(0'(1'(1'(1'(1'(0'(1'(1'(0'(1'(0'(1'(x1)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) 0'(z) -{ 1 }-> 0'(0'(1'(1'(0'(0'(1'(1'(0'(1'(1'(0'(0'(0'(0'(0'(1'(0'(0'(1'(0'(1'(0'(1'(1'(1'(0'(1'(0'(0'(1'(0'(0'(1'(0'(0'(0'(0'(0'(1'(1'(0'(0'(0'(0'(0'(0'(0'(0'(1'(1'(0'(1'(0'(1'(0'(1'(1'(1'(1'(1'(0'(1'(0'(0'(1'(1'(1'(1'(1'(0'(1'(1'(0'(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 }-> 0'(0'(1'(1'(0'(0'(1'(1'(0'(1'(1'(0'(0'(0'(0'(0'(1'(0'(0'(1'(0'(1'(0'(1'(1'(1'(0'(1'(0'(0'(1'(0'(0'(1'(0'(0'(0'(0'(0'(1'(1'(0'(0'(0'(0'(0'(0'(0'(0'(1'(1'(0'(1'(0'(1'(0'(1'(1'(1'(1'(1'(0'(1'(0'(0'(1'(1'(1'(1'(1'(0'(1'(1'(0'(0'(0'(1'(0'(1'(0'(1'(1'(0'(x1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) 0'(z) -{ 1 }-> 0'(0'(1'(1'(0'(0'(1'(1'(0'(1'(1'(0'(0'(0'(0'(0'(1'(0'(0'(1'(0'(1'(0'(1'(1'(1'(0'(1'(0'(0'(1'(0'(0'(1'(0'(0'(0'(0'(0'(1'(1'(0'(0'(0'(0'(0'(0'(0'(0'(1'(1'(0'(1'(0'(1'(0'(1'(1'(1'(1'(1'(0'(1'(0'(0'(1'(1'(1'(1'(1'(0'(1'(1'(0'(0'(0'(1'(0'(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'(1'(0'(0'(1'(1'(0'(1'(1'(0'(0'(0'(0'(0'(1'(0'(0'(1'(0'(1'(0'(1'(1'(1'(0'(1'(0'(0'(1'(0'(0'(1'(0'(0'(0'(0'(0'(1'(1'(0'(0'(0'(0'(0'(0'(0'(0'(1'(1'(0'(1'(0'(1'(0'(1'(1'(1'(1'(1'(0'(1'(0'(0'(1'(1'(1'(1'(1'(0'(1'(0'(0'(1'(0'(1'(0'(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'(1'(0'(0'(1'(1'(0'(1'(1'(0'(0'(0'(0'(0'(1'(0'(0'(1'(0'(1'(0'(1'(1'(1'(0'(1'(0'(0'(1'(0'(0'(1'(0'(0'(0'(0'(0'(1'(1'(0'(0'(0'(0'(0'(0'(0'(0'(1'(1'(0'(1'(0'(1'(0'(1'(1'(1'(1'(1'(0'(1'(0'(0'(1'(0'(0'(1'(0'(0'(1'(1'(0'(0'(1'(1'(0'(0'(0'(1'(1'(0'(x1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) 0'(z) -{ 1 }-> 0'(0'(1'(1'(0'(0'(1'(1'(0'(1'(1'(0'(0'(0'(0'(0'(1'(0'(0'(1'(0'(1'(0'(1'(1'(1'(0'(1'(0'(0'(1'(0'(0'(1'(0'(0'(0'(0'(0'(1'(1'(0'(0'(0'(0'(0'(0'(0'(0'(1'(1'(0'(1'(0'(1'(0'(1'(1'(1'(0'(1'(0'(0'(1'(1'(1'(0'(0'(0'(0'(1'(0'(0'(1'(1'(1'(1'(1'(0'(0'(0'(1'(0'(0'(0'(x1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) 0'(z) -{ 1 }-> 0'(0'(1'(1'(0'(0'(1'(1'(0'(1'(1'(0'(0'(0'(0'(0'(1'(0'(0'(1'(0'(1'(0'(1'(1'(1'(0'(1'(0'(0'(1'(0'(0'(1'(0'(0'(0'(0'(0'(1'(1'(0'(0'(0'(0'(0'(0'(0'(0'(1'(1'(0'(1'(0'(1'(0'(1'(0'(0'(0'(0'(0'(0'(1'(1'(0'(1'(0'(1'(0'(1'(0'(1'(1'(1'(0'(0'(1'(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'(1'(1'(0'(0'(1'(1'(0'(1'(1'(0'(0'(0'(0'(0'(1'(0'(0'(1'(0'(1'(0'(1'(1'(0'(1'(0'(0'(1'(0'(0'(0'(0'(1'(1'(0'(1'(0'(1'(0'(1'(0'(0'(1'(1'(0'(0'(1'(0'(0'(1'(0'(1'(0'(1'(1'(1'(1'(0'(1'(0'(1'(0'(1'(1'(0'(0'(0'(0'(1'(1'(1'(0'(1'(0'(0'(0'(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'(1'(1'(0'(0'(1'(1'(0'(1'(1'(0'(0'(0'(0'(0'(1'(0'(0'(1'(0'(1'(0'(1'(1'(0'(1'(0'(0'(1'(0'(0'(0'(0'(1'(1'(0'(1'(0'(1'(0'(1'(0'(0'(1'(1'(0'(0'(1'(0'(0'(1'(0'(1'(0'(1'(1'(1'(1'(0'(1'(0'(1'(0'(1'(1'(0'(0'(0'(0'(1'(1'(1'(0'(1'(0'(0'(0'(0'(0'(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))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) 0'(z) -{ 1 }-> 0'(0'(1'(1'(0'(0'(1'(1'(0'(1'(1'(0'(0'(0'(0'(0'(1'(0'(0'(1'(0'(1'(0'(1'(1'(0'(1'(0'(0'(1'(0'(0'(0'(0'(1'(1'(0'(1'(0'(1'(0'(1'(0'(0'(1'(1'(0'(0'(1'(0'(0'(1'(0'(1'(0'(1'(0'(0'(0'(1'(0'(1'(0'(0'(1'(1'(0'(0'(1'(0'(0'(1'(0'(0'(0'(1'(1'(0'(1'(1'(0'(1'(0'(x1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (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'(0'(0'(1'(1'(1'(0'(0'(1'(1'(0'(1'(0'(0'(0'(0'(0'(0'(1'(1'(0'(1'(0'(1'(0'(0'(0'(0'(1'(1'(1'(1'(0'(1'(1'(1'(0'(0'(0'(1'(1'(0'(1'(0'(0'(0'(0'(0'(1'(1'(0'(1'(1'(0'(1'(1'(1'(0'(0'(0'(0'(0'(1'(1'(1'(0'(0'(1'(1'(0'(0'(0'(1'(1'(0'(1'(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))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) 1'(z) -{ 1 }-> 0'(0'(1'(1'(1'(1'(1'(0'(1'(1'(1'(1'(0'(1'(0'(1'(1'(0'(1'(0'(0'(1'(1'(1'(1'(0'(0'(0'(1'(0'(0'(1'(1'(1'(1'(0'(0'(1'(1'(0'(1'(0'(1'(1'(1'(0'(0'(0'(1'(0'(0'(1'(1'(1'(0'(0'(0'(0'(1'(1'(0'(0'(0'(1'(0'(0'(1'(0'(0'(0'(0'(0'(1'(1'(1'(0'(0'(0'(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))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) 1'(z) -{ 1 }-> 0'(0'(1'(1'(0'(0'(1'(1'(0'(1'(1'(0'(0'(0'(0'(0'(1'(0'(0'(1'(0'(1'(0'(1'(1'(1'(0'(1'(0'(0'(1'(0'(0'(1'(0'(0'(0'(0'(0'(1'(1'(0'(0'(0'(0'(0'(0'(0'(0'(1'(1'(0'(1'(0'(1'(0'(1'(1'(1'(1'(1'(0'(1'(0'(0'(1'(1'(1'(1'(1'(0'(1'(1'(1'(1'(0'(1'(1'(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))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) 1'(z) -{ 1 }-> 0'(0'(1'(1'(0'(0'(1'(1'(0'(1'(1'(0'(0'(0'(0'(0'(1'(0'(0'(1'(0'(1'(0'(1'(1'(1'(0'(1'(0'(0'(1'(0'(0'(1'(0'(0'(0'(0'(0'(1'(1'(0'(0'(0'(0'(0'(0'(0'(0'(1'(1'(0'(1'(0'(1'(0'(1'(1'(1'(1'(1'(0'(1'(0'(0'(1'(1'(1'(1'(1'(0'(1'(1'(0'(0'(0'(1'(0'(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))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) 1'(z) -{ 1 }-> 0'(0'(1'(1'(0'(0'(1'(1'(0'(1'(1'(0'(0'(0'(0'(0'(1'(0'(0'(1'(0'(1'(0'(1'(1'(1'(0'(1'(0'(0'(1'(0'(0'(1'(0'(0'(0'(0'(0'(1'(1'(0'(0'(0'(0'(0'(0'(0'(0'(1'(1'(0'(1'(0'(1'(0'(1'(0'(0'(0'(0'(0'(0'(1'(1'(0'(1'(0'(1'(0'(1'(0'(1'(1'(1'(0'(0'(1'(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))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) 1'(z) -{ 1 }-> 0'(0'(1'(1'(0'(0'(1'(1'(0'(1'(1'(0'(0'(0'(0'(0'(1'(0'(0'(1'(0'(1'(0'(1'(1'(1'(0'(1'(0'(0'(1'(0'(0'(0'(1'(0'(0'(0'(1'(0'(0'(0'(0'(1'(0'(1'(1'(0'(1'(0'(1'(1'(1'(0'(1'(1'(0'(0'(1'(0'(0'(1'(0'(1'(1'(0'(1'(0'(1'(0'(0'(1'(0'(1'(1'(0'(1'(0'(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) -{ 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. ---------------------------------------- (35) CpxTrsToCdtProof (UPPER BOUND(ID)) Converted Cpx (relative) TRS to CDT ---------------------------------------- (36) Obligation: Complexity Dependency Tuples Problem Rules: encArg(cons_0(z0)) -> 0(encArg(z0)) encArg(cons_1(z0)) -> 1(encArg(z0)) encode_0(z0) -> 0(encArg(z0)) encode_1(z0) -> 1(encArg(z0)) 0(0(1(0(1(0(1(1(0(0(0(0(1(1(1(1(0(1(1(1(0(1(1(1(1(0(0(0(0(0(0(0(1(1(1(1(1(0(1(1(0(1(0(1(1(0(1(1(0(1(1(0(0(1(0(0(1(0(1(1(1(1(1(0(1(0(1(0(0(1(0(1(1(1(1(1(1(1(1(0(1(z0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> 0(0(1(1(0(0(1(1(0(1(1(0(0(0(0(0(1(0(0(1(0(1(0(1(1(0(1(0(0(1(0(0(0(0(1(1(0(1(0(1(0(1(0(0(1(1(0(0(1(0(0(1(0(1(0(1(1(1(1(0(1(0(1(0(1(1(0(0(0(0(1(1(1(0(1(0(0(0(0(0(0(1(z0)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) 0(0(1(0(1(0(1(1(0(0(0(0(1(1(1(1(0(1(1(1(0(1(1(1(1(0(0(0(0(0(0(0(1(1(1(1(1(0(1(1(0(1(0(1(1(0(1(1(0(1(1(0(0(1(0(0(1(0(1(1(1(1(1(0(1(0(1(0(0(1(0(1(1(1(1(1(1(1(1(0(1(z0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> 0(0(1(1(0(0(1(1(0(1(1(0(0(0(0(0(1(0(0(1(0(1(0(1(1(1(0(1(0(0(1(0(0(1(0(0(0(0(0(1(1(0(0(0(0(0(0(0(0(1(1(0(1(0(1(0(1(1(1(1(1(0(1(0(0(1(0(0(1(0(0(1(1(0(0(1(1(0(0(0(1(1(0(z0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) 0(0(1(0(1(0(1(1(0(0(0(0(1(1(1(1(0(1(1(1(0(1(1(1(1(0(0(0(0(0(0(0(1(1(1(1(1(0(1(1(0(1(0(1(1(0(1(1(0(1(1(0(0(1(0(0(1(0(1(1(1(1(1(0(1(1(0(0(0(1(1(0(1(1(1(1(0(1(1(1(1(z0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> 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1'(0(1(0(0(1(1(1(1(1(0(1(1(1(1(0(1(1(1(1(1(1(z0)))))))))))))))))))))), 0'(1(0(0(1(1(1(1(1(0(1(1(1(1(0(1(1(1(1(1(1(z0))))))))))))))))))))), 1'(0(0(1(1(1(1(1(0(1(1(1(1(0(1(1(1(1(1(1(z0)))))))))))))))))))), 0'(0(1(1(1(1(1(0(1(1(1(1(0(1(1(1(1(1(1(z0))))))))))))))))))), 0'(1(1(1(1(1(0(1(1(1(1(0(1(1(1(1(1(1(z0)))))))))))))))))), 1'(1(1(1(1(0(1(1(1(1(0(1(1(1(1(1(1(z0))))))))))))))))), 1'(1(1(1(0(1(1(1(1(0(1(1(1(1(1(1(z0)))))))))))))))), 1'(1(1(0(1(1(1(1(0(1(1(1(1(1(1(z0))))))))))))))), 1'(1(0(1(1(1(1(0(1(1(1(1(1(1(z0)))))))))))))), 1'(0(1(1(1(1(0(1(1(1(1(1(1(z0))))))))))))), 0'(1(1(1(1(0(1(1(1(1(1(1(z0)))))))))))), 1'(1(1(1(0(1(1(1(1(1(1(z0))))))))))), 1'(1(1(0(1(1(1(1(1(1(z0)))))))))), 1'(1(0(1(1(1(1(1(1(z0))))))))), 1'(0(1(1(1(1(1(1(z0)))))))), 0'(1(1(1(1(1(1(z0))))))), 1'(1(1(1(1(1(z0)))))), 1'(1(1(1(1(z0))))), 1'(1(1(1(z0)))), 1'(1(1(z0))), 1'(1(z0)), 1'(z0)) 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, c4_82, c5_83, c6_82, c7_83, c8_83, c9_82, c10_83, c11_84, c12_82, c13_82, c14_82, c15_83, c16_82, c17_82, c18_82, c19_82, c20_82, c21_83, c22_82, c23_82, c24_82, c25_84, c26_83, c27_85, c28_82, c29_82, c30_87, c31_82, c32_82, c33_82, c34_82, c35_82 ---------------------------------------- (37) CdtRhsSimplificationProcessorProof (BOTH BOUNDS(ID, ID)) Removed 418 trailing tuple parts ---------------------------------------- (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(0(1(0(1(0(1(1(0(0(0(0(1(1(1(1(0(1(1(1(0(1(1(1(1(0(0(0(0(0(0(0(1(1(1(1(1(0(1(1(0(1(0(1(1(0(1(1(0(1(1(0(0(1(0(0(1(0(1(1(1(1(1(0(1(0(1(0(0(1(0(1(1(1(1(1(1(1(1(0(1(z0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> 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1'(z0)) 1'(1(0(0(1(0(1(0(0(1(1(1(0(0(0(1(1(0(1(1(1(1(1(1(0(0(1(1(1(0(0(0(0(0(1(1(0(1(1(1(0(0(0(1(1(1(1(1(1(1(1(0(0(0(1(1(1(1(0(0(0(0(1(1(0(1(1(0(0(0(1(1(1(0(0(1(1(1(0(1(1(z0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> c33(1'(1(z0)), 1'(z0)) 1'(1(0(0(1(0(1(0(0(1(1(1(0(0(0(1(1(0(1(1(1(1(1(1(0(0(1(1(1(0(0(0(0(0(1(1(0(1(1(1(0(0(0(1(1(1(1(1(1(1(1(0(0(0(1(1(1(1(0(0(0(0(1(1(0(1(1(0(0(0(1(1(1(0(0(1(1(1(1(1(1(z0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> c35(1'(1(z0)), 1'(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_83, c7_83, c8_83, c10_83, c11_84, c12_82, c13_82, c14_82, c15_83, c16_82, c17_82, c19_82, c20_82, c21_83, c22_82, c23_82, c24_82, c29_82, c30_87, c34_82, c4_81, c6_81, c9_78, c18_77, c25_3, c26_3, c27_2, c28_81, c31_81, c32_81, c33_2, c35_2 ---------------------------------------- (39) CdtGraphSplitRhsProof (BOTH BOUNDS(ID, ID)) Split RHS of tuples not part of any SCC ---------------------------------------- (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(0(1(0(1(0(1(1(0(0(0(0(1(1(1(1(0(1(1(1(0(1(1(1(1(0(0(0(0(0(0(0(1(1(1(1(1(0(1(1(0(1(0(1(1(0(1(1(0(1(1(0(0(1(0(0(1(0(1(1(1(1(1(0(1(0(1(0(0(1(0(1(1(1(1(1(1(1(1(0(1(z0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> 0(0(1(1(0(0(1(1(0(1(1(0(0(0(0(0(1(0(0(1(0(1(0(1(1(0(1(0(0(1(0(0(0(0(1(1(0(1(0(1(0(1(0(0(1(1(0(0(1(0(0(1(0(1(0(1(1(1(1(0(1(0(1(0(1(1(0(0(0(0(1(1(1(0(1(0(0(0(0(0(0(1(z0)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) 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1'(1(1(0(1(0(0(1(1(1(1(1(0(1(1(0(0(0(1(0(0(0(0(1(z0)))))))))))))))))))))))), 1'(1(0(1(0(0(1(1(1(1(1(0(1(1(0(0(0(1(0(0(0(0(1(z0))))))))))))))))))))))), 1'(0(1(0(0(1(1(1(1(1(0(1(1(0(0(0(1(0(0(0(0(1(z0)))))))))))))))))))))), 0'(1(0(0(1(1(1(1(1(0(1(1(0(0(0(1(0(0(0(0(1(z0))))))))))))))))))))), 1'(0(0(1(1(1(1(1(0(1(1(0(0(0(1(0(0(0(0(1(z0)))))))))))))))))))), 0'(0(1(1(1(1(1(0(1(1(0(0(0(1(0(0(0(0(1(z0))))))))))))))))))), 0'(1(1(1(1(1(0(1(1(0(0(0(1(0(0(0(0(1(z0)))))))))))))))))), 1'(1(1(1(1(0(1(1(0(0(0(1(0(0(0(0(1(z0))))))))))))))))), 1'(1(1(1(0(1(1(0(0(0(1(0(0(0(0(1(z0)))))))))))))))), 1'(1(1(0(1(1(0(0(0(1(0(0(0(0(1(z0))))))))))))))), 1'(1(0(1(1(0(0(0(1(0(0(0(0(1(z0)))))))))))))), 1'(0(1(1(0(0(0(1(0(0(0(0(1(z0))))))))))))), 0'(1(1(0(0(0(1(0(0(0(0(1(z0)))))))))))), 1'(1(0(0(0(1(0(0(0(0(1(z0))))))))))), 1'(0(0(0(1(0(0(0(0(1(z0)))))))))), 0'(0(0(1(0(0(0(0(1(z0))))))))), 0'(0(1(0(0(0(0(1(z0)))))))), 0'(1(0(0(0(0(1(z0))))))), 1'(0(0(0(0(1(z0)))))), 0'(0(0(0(1(z0))))), 0'(0(0(1(z0)))), 0'(0(1(z0))), 1'(z0)) 1'(1(0(0(1(0(1(0(0(1(1(1(0(0(0(1(1(0(1(1(1(1(1(1(0(0(1(1(1(0(0(0(0(0(1(1(0(1(1(1(0(0(0(1(1(1(1(1(1(1(1(0(0(0(1(1(1(1(0(0(0(0(1(1(0(1(1(0(0(0(1(1(1(0(0(1(1(1(0(1(1(z0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> c33(1'(1(z0)), 1'(z0)) 1'(1(0(0(1(0(1(0(0(1(1(1(0(0(0(1(1(0(1(1(1(1(1(1(0(0(1(1(1(0(0(0(0(0(1(1(0(1(1(1(0(0(0(1(1(1(1(1(1(1(1(0(0(0(1(1(1(1(0(0(0(0(1(1(0(1(1(0(0(0(1(1(1(0(0(1(1(1(1(1(1(z0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> c35(1'(1(z0)), 1'(z0)) ENCODE_0(z0) -> c36(0'(encArg(z0))) ENCODE_0(z0) -> c36(ENCARG(z0)) ENCODE_1(z0) -> c36(1'(encArg(z0))) ENCODE_1(z0) -> c36(ENCARG(z0)) S tuples: 0'(0(1(0(1(0(1(1(0(0(0(0(1(1(1(1(0(1(1(1(0(1(1(1(1(0(0(0(0(0(0(0(1(1(1(1(1(0(1(1(0(1(0(1(1(0(1(1(0(1(1(0(0(1(0(0(1(0(1(1(1(1(1(0(1(0(1(0(0(1(0(1(1(1(1(1(1(1(1(0(1(z0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> 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1'(z0)) 1'(1(0(0(1(0(1(0(0(1(1(1(0(0(0(1(1(0(1(1(1(1(1(1(0(0(1(1(1(0(0(0(0(0(1(1(0(1(1(1(0(0(0(1(1(1(1(1(1(1(1(0(0(0(1(1(1(1(0(0(0(0(1(1(0(1(1(0(0(0(1(1(1(0(0(1(1(1(0(1(1(z0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> c33(1'(1(z0)), 1'(z0)) 1'(1(0(0(1(0(1(0(0(1(1(1(0(0(0(1(1(0(1(1(1(1(1(1(0(0(1(1(1(0(0(0(0(0(1(1(0(1(1(1(0(0(0(1(1(1(1(1(1(1(1(0(0(0(1(1(1(1(0(0(0(0(1(1(0(1(1(0(0(0(1(1(1(0(0(1(1(1(1(1(1(z0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> c35(1'(1(z0)), 1'(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_83, c7_83, c8_83, c10_83, c11_84, c12_82, c13_82, c14_82, c15_83, c16_82, c17_82, c19_82, c20_82, c21_83, c22_82, c23_82, c24_82, c29_82, c30_87, c34_82, c4_81, c6_81, c9_78, c18_77, c25_3, c26_3, c27_2, c28_81, c31_81, c32_81, c33_2, c35_2, c36_1 ---------------------------------------- (41) CdtLeafRemovalProof (ComplexityIfPolyImplication) Removed 2 leading nodes: ENCODE_0(z0) -> c36(ENCARG(z0)) ENCODE_1(z0) -> c36(ENCARG(z0)) ---------------------------------------- (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(0(1(0(1(0(1(1(0(0(0(0(1(1(1(1(0(1(1(1(0(1(1(1(1(0(0(0(0(0(0(0(1(1(1(1(1(0(1(1(0(1(0(1(1(0(1(1(0(1(1(0(0(1(0(0(1(0(1(1(1(1(1(0(1(0(1(0(0(1(0(1(1(1(1(1(1(1(1(0(1(z0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> 0(0(1(1(0(0(1(1(0(1(1(0(0(0(0(0(1(0(0(1(0(1(0(1(1(0(1(0(0(1(0(0(0(0(1(1(0(1(0(1(0(1(0(0(1(1(0(0(1(0(0(1(0(1(0(1(1(1(1(0(1(0(1(0(1(1(0(0(0(0(1(1(1(0(1(0(0(0(0(0(0(1(z0)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) 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1'(z0)) 1'(1(0(0(1(0(1(0(0(1(1(1(0(0(0(1(1(0(1(1(1(1(1(1(0(0(1(1(1(0(0(0(0(0(1(1(0(1(1(1(0(0(0(1(1(1(1(1(1(1(1(0(0(0(1(1(1(1(0(0(0(0(1(1(0(1(1(0(0(0(1(1(1(0(0(1(1(1(0(1(1(z0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> c33(1'(1(z0)), 1'(z0)) 1'(1(0(0(1(0(1(0(0(1(1(1(0(0(0(1(1(0(1(1(1(1(1(1(0(0(1(1(1(0(0(0(0(0(1(1(0(1(1(1(0(0(0(1(1(1(1(1(1(1(1(0(0(0(1(1(1(1(0(0(0(0(1(1(0(1(1(0(0(0(1(1(1(0(0(1(1(1(1(1(1(z0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> c35(1'(1(z0)), 1'(z0)) ENCODE_0(z0) -> c36(0'(encArg(z0))) ENCODE_1(z0) -> c36(1'(encArg(z0))) S tuples: 0'(0(1(0(1(0(1(1(0(0(0(0(1(1(1(1(0(1(1(1(0(1(1(1(1(0(0(0(0(0(0(0(1(1(1(1(1(0(1(1(0(1(0(1(1(0(1(1(0(1(1(0(0(1(0(0(1(0(1(1(1(1(1(0(1(0(1(0(0(1(0(1(1(1(1(1(1(1(1(0(1(z0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> 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1'(1(1(0(1(0(0(1(1(1(1(1(0(1(1(0(0(0(1(0(0(0(0(1(z0)))))))))))))))))))))))), 1'(1(0(1(0(0(1(1(1(1(1(0(1(1(0(0(0(1(0(0(0(0(1(z0))))))))))))))))))))))), 1'(0(1(0(0(1(1(1(1(1(0(1(1(0(0(0(1(0(0(0(0(1(z0)))))))))))))))))))))), 0'(1(0(0(1(1(1(1(1(0(1(1(0(0(0(1(0(0(0(0(1(z0))))))))))))))))))))), 1'(0(0(1(1(1(1(1(0(1(1(0(0(0(1(0(0(0(0(1(z0)))))))))))))))))))), 0'(0(1(1(1(1(1(0(1(1(0(0(0(1(0(0(0(0(1(z0))))))))))))))))))), 0'(1(1(1(1(1(0(1(1(0(0(0(1(0(0(0(0(1(z0)))))))))))))))))), 1'(1(1(1(1(0(1(1(0(0(0(1(0(0(0(0(1(z0))))))))))))))))), 1'(1(1(1(0(1(1(0(0(0(1(0(0(0(0(1(z0)))))))))))))))), 1'(1(1(0(1(1(0(0(0(1(0(0(0(0(1(z0))))))))))))))), 1'(1(0(1(1(0(0(0(1(0(0(0(0(1(z0)))))))))))))), 1'(0(1(1(0(0(0(1(0(0(0(0(1(z0))))))))))))), 0'(1(1(0(0(0(1(0(0(0(0(1(z0)))))))))))), 1'(1(0(0(0(1(0(0(0(0(1(z0))))))))))), 1'(0(0(0(1(0(0(0(0(1(z0)))))))))), 0'(0(0(1(0(0(0(0(1(z0))))))))), 0'(0(1(0(0(0(0(1(z0)))))))), 0'(1(0(0(0(0(1(z0))))))), 1'(0(0(0(0(1(z0)))))), 0'(0(0(0(1(z0))))), 0'(0(0(1(z0)))), 0'(0(1(z0))), 1'(z0)) 1'(1(0(0(1(0(1(0(0(1(1(1(0(0(0(1(1(0(1(1(1(1(1(1(0(0(1(1(1(0(0(0(0(0(1(1(0(1(1(1(0(0(0(1(1(1(1(1(1(1(1(0(0(0(1(1(1(1(0(0(0(0(1(1(0(1(1(0(0(0(1(1(1(0(0(1(1(1(0(1(1(z0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> c33(1'(1(z0)), 1'(z0)) 1'(1(0(0(1(0(1(0(0(1(1(1(0(0(0(1(1(0(1(1(1(1(1(1(0(0(1(1(1(0(0(0(0(0(1(1(0(1(1(1(0(0(0(1(1(1(1(1(1(1(1(0(0(0(1(1(1(1(0(0(0(0(1(1(0(1(1(0(0(0(1(1(1(0(0(1(1(1(1(1(1(z0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> c35(1'(1(z0)), 1'(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_83, c7_83, c8_83, c10_83, c11_84, c12_82, c13_82, c14_82, c15_83, c16_82, c17_82, c19_82, c20_82, c21_83, c22_82, c23_82, c24_82, c29_82, c30_87, c34_82, c4_81, c6_81, c9_78, c18_77, c25_3, c26_3, c27_2, c28_81, c31_81, c32_81, c33_2, c35_2, c36_1 ---------------------------------------- (43) 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)) ---------------------------------------- (44) Obligation: Complexity Dependency Tuples Problem Rules: encArg(cons_0(z0)) -> 0(encArg(z0)) encArg(cons_1(z0)) -> 1(encArg(z0)) 0(0(1(0(1(0(1(1(0(0(0(0(1(1(1(1(0(1(1(1(0(1(1(1(1(0(0(0(0(0(0(0(1(1(1(1(1(0(1(1(0(1(0(1(1(0(1(1(0(1(1(0(0(1(0(0(1(0(1(1(1(1(1(0(1(0(1(0(0(1(0(1(1(1(1(1(1(1(1(0(1(z0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> 0(0(1(1(0(0(1(1(0(1(1(0(0(0(0(0(1(0(0(1(0(1(0(1(1(0(1(0(0(1(0(0(0(0(1(1(0(1(0(1(0(1(0(0(1(1(0(0(1(0(0(1(0(1(0(1(1(1(1(0(1(0(1(0(1(1(0(0(0(0(1(1(1(0(1(0(0(0(0(0(0(1(z0)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) 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1'(z0)) 1'(1(0(0(1(0(1(0(0(1(1(1(0(0(0(1(1(0(1(1(1(1(1(1(0(0(1(1(1(0(0(0(0(0(1(1(0(1(1(1(0(0(0(1(1(1(1(1(1(1(1(0(0(0(1(1(1(1(0(0(0(0(1(1(0(1(1(0(0(0(1(1(1(0(0(1(1(1(0(1(1(z0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> c33(1'(1(z0)), 1'(z0)) 1'(1(0(0(1(0(1(0(0(1(1(1(0(0(0(1(1(0(1(1(1(1(1(1(0(0(1(1(1(0(0(0(0(0(1(1(0(1(1(1(0(0(0(1(1(1(1(1(1(1(1(0(0(0(1(1(1(1(0(0(0(0(1(1(0(1(1(0(0(0(1(1(1(0(0(1(1(1(1(1(1(z0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> c35(1'(1(z0)), 1'(z0)) ENCODE_0(z0) -> c36(0'(encArg(z0))) ENCODE_1(z0) -> c36(1'(encArg(z0))) S tuples: 0'(0(1(0(1(0(1(1(0(0(0(0(1(1(1(1(0(1(1(1(0(1(1(1(1(0(0(0(0(0(0(0(1(1(1(1(1(0(1(1(0(1(0(1(1(0(1(1(0(1(1(0(0(1(0(0(1(0(1(1(1(1(1(0(1(0(1(0(0(1(0(1(1(1(1(1(1(1(1(0(1(z0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> 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