/export/starexec/sandbox2/solver/bin/starexec_run_rcdcRelativeAlsoLower /export/starexec/sandbox2/benchmark/theBenchmark.xml /export/starexec/sandbox2/output/output_files -------------------------------------------------------------------------------- WORST_CASE(?, O(n^1)) proof of /export/starexec/sandbox2/benchmark/theBenchmark.xml # AProVE Commit ID: 794c25de1cacf0d048858bcd21c9a779e1221865 marcel 20200619 unpublished dirty The Derivational Complexity (innermost) of the given DCpxTrs could be proven to be BOUNDS(1, n^1). (0) DCpxTrs (1) DerivationalComplexityToRuntimeComplexityProof [BOTH BOUNDS(ID, ID), 0 ms] (2) CpxRelTRS (3) SInnermostTerminationProof [BOTH CONCRETE BOUNDS(ID, ID), 60 ms] (4) CpxRelTRS (5) RelTrsToTrsProof [UPPER BOUND(ID), 0 ms] (6) CpxTRS (7) CpxTrsMatchBoundsProof [FINISHED, 171 ms] (8) BOUNDS(1, n^1) ---------------------------------------- (0) Obligation: The Derivational Complexity (innermost) of the given DCpxTrs could be proven to be BOUNDS(1, n^1). The TRS R consists of the following rules: 1(1(5(5(x1)))) -> 2(2(0(2(1(3(0(3(0(4(x1)))))))))) 3(2(2(4(x1)))) -> 4(2(0(2(0(4(1(3(2(0(x1)))))))))) 4(0(1(0(x1)))) -> 2(2(5(4(0(2(0(0(2(5(x1)))))))))) 4(0(1(0(x1)))) -> 3(5(2(2(2(5(1(0(2(5(x1)))))))))) 4(5(1(1(x1)))) -> 4(5(2(0(3(2(5(3(4(1(x1)))))))))) 0(0(2(4(1(x1))))) -> 3(5(0(1(4(0(3(0(4(1(x1)))))))))) 0(1(1(5(1(x1))))) -> 4(0(2(2(2(5(2(4(2(5(x1)))))))))) 1(3(4(2(4(x1))))) -> 1(4(2(0(3(4(0(2(5(1(x1)))))))))) 3(1(2(4(1(x1))))) -> 4(2(2(1(4(2(0(3(5(3(x1)))))))))) 0(0(2(4(0(1(x1)))))) -> 2(2(1(2(2(3(1(2(5(1(x1)))))))))) 0(5(1(2(4(5(x1)))))) -> 0(4(3(2(5(2(3(2(2(5(x1)))))))))) 0(5(4(2(4(5(x1)))))) -> 3(1(5(3(0(3(5(2(5(3(x1)))))))))) 1(4(4(1(1(5(x1)))))) -> 0(2(1(3(3(2(1(3(5(4(x1)))))))))) 1(5(0(1(5(5(x1)))))) -> 2(5(5(3(4(3(2(0(3(4(x1)))))))))) 1(5(2(4(1(0(x1)))))) -> 0(3(4(4(0(4(1(2(3(4(x1)))))))))) 2(3(4(2(3(1(x1)))))) -> 2(2(2(5(5(2(0(0(5(4(x1)))))))))) 2(4(2(4(5(2(x1)))))) -> 0(3(2(5(3(2(3(5(3(2(x1)))))))))) 2(5(0(1(1(5(x1)))))) -> 2(0(4(1(5(4(4(2(5(3(x1)))))))))) 4(0(0(1(1(0(x1)))))) -> 4(2(3(3(0(2(2(5(4(5(x1)))))))))) 4(0(1(1(5(2(x1)))))) -> 2(2(1(1(2(5(1(2(1(3(x1)))))))))) 4(1(1(4(5(1(x1)))))) -> 3(3(2(5(1(4(3(2(3(0(x1)))))))))) 4(2(4(4(5(0(x1)))))) -> 3(3(5(1(2(2(5(1(0(0(x1)))))))))) 4(5(2(3(4(1(x1)))))) -> 3(0(3(4(3(3(2(5(3(0(x1)))))))))) 4(5(2(4(2(4(x1)))))) -> 2(0(4(4(3(1(2(2(5(5(x1)))))))))) 5(5(3(0(0(3(x1)))))) -> 5(5(2(2(2(5(2(0(0(3(x1)))))))))) 0(1(1(0(5(5(0(x1))))))) -> 0(0(3(3(2(2(1(4(2(0(x1)))))))))) 0(3(1(2(3(3(1(x1))))))) -> 2(5(0(3(0(3(4(5(3(1(x1)))))))))) 0(4(0(0(4(2(1(x1))))))) -> 2(3(0(0(0(1(2(5(2(5(x1)))))))))) 0(4(2(4(5(1(1(x1))))))) -> 2(5(5(2(1(3(3(3(0(1(x1)))))))))) 1(1(1(1(4(0(4(x1))))))) -> 5(2(5(4(1(5(0(2(0(4(x1)))))))))) 1(1(1(1(4(5(5(x1))))))) -> 5(0(5(2(2(5(0(0(5(5(x1)))))))))) 1(1(1(5(4(3(0(x1))))))) -> 1(2(5(5(2(0(0(1(3(0(x1)))))))))) 1(1(3(5(4(0(1(x1))))))) -> 1(0(2(3(5(0(2(2(5(0(x1)))))))))) 1(1(4(2(4(4(5(x1))))))) -> 1(4(4(1(3(5(1(1(2(5(x1)))))))))) 1(2(0(1(5(0(1(x1))))))) -> 0(3(0(4(0(4(1(4(3(0(x1)))))))))) 1(3(1(3(1(5(0(x1))))))) -> 1(1(3(2(5(2(2(3(2(5(x1)))))))))) 1(5(3(5(4(4(2(x1))))))) -> 2(5(3(2(5(3(1(0(1(3(x1)))))))))) 2(0(1(1(1(2(1(x1))))))) -> 2(2(0(4(3(1(2(2(5(5(x1)))))))))) 2(1(2(4(1(2(4(x1))))))) -> 2(5(0(1(5(5(2(5(1(1(x1)))))))))) 2(3(4(1(1(5(3(x1))))))) -> 1(4(4(5(2(2(5(1(5(3(x1)))))))))) 2(4(1(0(4(3(2(x1))))))) -> 0(3(5(2(0(5(3(2(0(3(x1)))))))))) 3(4(1(0(4(2(1(x1))))))) -> 1(3(5(5(3(3(2(5(2(1(x1)))))))))) 3(4(2(4(0(0(4(x1))))))) -> 4(4(4(2(2(0(3(0(5(5(x1)))))))))) 3(4(2(4(3(5(3(x1))))))) -> 1(3(4(1(0(2(2(2(5(3(x1)))))))))) 4(1(5(3(4(1(5(x1))))))) -> 4(1(2(3(4(3(3(5(2(5(x1)))))))))) 4(2(2(4(5(4(2(x1))))))) -> 3(1(0(1(4(1(2(5(3(3(x1)))))))))) 4(2(4(5(5(5(0(x1))))))) -> 4(4(1(3(0(2(5(4(2(0(x1)))))))))) 4(4(3(1(2(3(1(x1))))))) -> 3(3(0(5(2(0(0(2(5(4(x1)))))))))) 4(5(4(2(1(2(4(x1))))))) -> 3(4(3(4(3(0(0(1(3(0(x1)))))))))) 5(1(2(3(2(4(5(x1))))))) -> 5(5(2(2(2(1(5(4(4(4(x1)))))))))) 5(4(0(0(2(3(4(x1))))))) -> 2(5(3(1(5(0(4(0(3(4(x1)))))))))) 5(4(4(1(2(4(5(x1))))))) -> 2(1(5(3(2(1(5(0(3(5(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_1(x_1)) -> 1(encArg(x_1)) encArg(cons_3(x_1)) -> 3(encArg(x_1)) encArg(cons_4(x_1)) -> 4(encArg(x_1)) encArg(cons_0(x_1)) -> 0(encArg(x_1)) encArg(cons_2(x_1)) -> 2(encArg(x_1)) encArg(cons_5(x_1)) -> 5(encArg(x_1)) encode_1(x_1) -> 1(encArg(x_1)) encode_5(x_1) -> 5(encArg(x_1)) encode_2(x_1) -> 2(encArg(x_1)) encode_0(x_1) -> 0(encArg(x_1)) encode_3(x_1) -> 3(encArg(x_1)) encode_4(x_1) -> 4(encArg(x_1)) ---------------------------------------- (2) Obligation: The Runtime Complexity (innermost) of the given CpxRelTRS could be proven to be BOUNDS(1, n^1). The TRS R consists of the following rules: 1(1(5(5(x1)))) -> 2(2(0(2(1(3(0(3(0(4(x1)))))))))) 3(2(2(4(x1)))) -> 4(2(0(2(0(4(1(3(2(0(x1)))))))))) 4(0(1(0(x1)))) -> 2(2(5(4(0(2(0(0(2(5(x1)))))))))) 4(0(1(0(x1)))) -> 3(5(2(2(2(5(1(0(2(5(x1)))))))))) 4(5(1(1(x1)))) -> 4(5(2(0(3(2(5(3(4(1(x1)))))))))) 0(0(2(4(1(x1))))) -> 3(5(0(1(4(0(3(0(4(1(x1)))))))))) 0(1(1(5(1(x1))))) -> 4(0(2(2(2(5(2(4(2(5(x1)))))))))) 1(3(4(2(4(x1))))) -> 1(4(2(0(3(4(0(2(5(1(x1)))))))))) 3(1(2(4(1(x1))))) -> 4(2(2(1(4(2(0(3(5(3(x1)))))))))) 0(0(2(4(0(1(x1)))))) -> 2(2(1(2(2(3(1(2(5(1(x1)))))))))) 0(5(1(2(4(5(x1)))))) -> 0(4(3(2(5(2(3(2(2(5(x1)))))))))) 0(5(4(2(4(5(x1)))))) -> 3(1(5(3(0(3(5(2(5(3(x1)))))))))) 1(4(4(1(1(5(x1)))))) -> 0(2(1(3(3(2(1(3(5(4(x1)))))))))) 1(5(0(1(5(5(x1)))))) -> 2(5(5(3(4(3(2(0(3(4(x1)))))))))) 1(5(2(4(1(0(x1)))))) -> 0(3(4(4(0(4(1(2(3(4(x1)))))))))) 2(3(4(2(3(1(x1)))))) -> 2(2(2(5(5(2(0(0(5(4(x1)))))))))) 2(4(2(4(5(2(x1)))))) -> 0(3(2(5(3(2(3(5(3(2(x1)))))))))) 2(5(0(1(1(5(x1)))))) -> 2(0(4(1(5(4(4(2(5(3(x1)))))))))) 4(0(0(1(1(0(x1)))))) -> 4(2(3(3(0(2(2(5(4(5(x1)))))))))) 4(0(1(1(5(2(x1)))))) -> 2(2(1(1(2(5(1(2(1(3(x1)))))))))) 4(1(1(4(5(1(x1)))))) -> 3(3(2(5(1(4(3(2(3(0(x1)))))))))) 4(2(4(4(5(0(x1)))))) -> 3(3(5(1(2(2(5(1(0(0(x1)))))))))) 4(5(2(3(4(1(x1)))))) -> 3(0(3(4(3(3(2(5(3(0(x1)))))))))) 4(5(2(4(2(4(x1)))))) -> 2(0(4(4(3(1(2(2(5(5(x1)))))))))) 5(5(3(0(0(3(x1)))))) -> 5(5(2(2(2(5(2(0(0(3(x1)))))))))) 0(1(1(0(5(5(0(x1))))))) -> 0(0(3(3(2(2(1(4(2(0(x1)))))))))) 0(3(1(2(3(3(1(x1))))))) -> 2(5(0(3(0(3(4(5(3(1(x1)))))))))) 0(4(0(0(4(2(1(x1))))))) -> 2(3(0(0(0(1(2(5(2(5(x1)))))))))) 0(4(2(4(5(1(1(x1))))))) -> 2(5(5(2(1(3(3(3(0(1(x1)))))))))) 1(1(1(1(4(0(4(x1))))))) -> 5(2(5(4(1(5(0(2(0(4(x1)))))))))) 1(1(1(1(4(5(5(x1))))))) -> 5(0(5(2(2(5(0(0(5(5(x1)))))))))) 1(1(1(5(4(3(0(x1))))))) -> 1(2(5(5(2(0(0(1(3(0(x1)))))))))) 1(1(3(5(4(0(1(x1))))))) -> 1(0(2(3(5(0(2(2(5(0(x1)))))))))) 1(1(4(2(4(4(5(x1))))))) -> 1(4(4(1(3(5(1(1(2(5(x1)))))))))) 1(2(0(1(5(0(1(x1))))))) -> 0(3(0(4(0(4(1(4(3(0(x1)))))))))) 1(3(1(3(1(5(0(x1))))))) -> 1(1(3(2(5(2(2(3(2(5(x1)))))))))) 1(5(3(5(4(4(2(x1))))))) -> 2(5(3(2(5(3(1(0(1(3(x1)))))))))) 2(0(1(1(1(2(1(x1))))))) -> 2(2(0(4(3(1(2(2(5(5(x1)))))))))) 2(1(2(4(1(2(4(x1))))))) -> 2(5(0(1(5(5(2(5(1(1(x1)))))))))) 2(3(4(1(1(5(3(x1))))))) -> 1(4(4(5(2(2(5(1(5(3(x1)))))))))) 2(4(1(0(4(3(2(x1))))))) -> 0(3(5(2(0(5(3(2(0(3(x1)))))))))) 3(4(1(0(4(2(1(x1))))))) -> 1(3(5(5(3(3(2(5(2(1(x1)))))))))) 3(4(2(4(0(0(4(x1))))))) -> 4(4(4(2(2(0(3(0(5(5(x1)))))))))) 3(4(2(4(3(5(3(x1))))))) -> 1(3(4(1(0(2(2(2(5(3(x1)))))))))) 4(1(5(3(4(1(5(x1))))))) -> 4(1(2(3(4(3(3(5(2(5(x1)))))))))) 4(2(2(4(5(4(2(x1))))))) -> 3(1(0(1(4(1(2(5(3(3(x1)))))))))) 4(2(4(5(5(5(0(x1))))))) -> 4(4(1(3(0(2(5(4(2(0(x1)))))))))) 4(4(3(1(2(3(1(x1))))))) -> 3(3(0(5(2(0(0(2(5(4(x1)))))))))) 4(5(4(2(1(2(4(x1))))))) -> 3(4(3(4(3(0(0(1(3(0(x1)))))))))) 5(1(2(3(2(4(5(x1))))))) -> 5(5(2(2(2(1(5(4(4(4(x1)))))))))) 5(4(0(0(2(3(4(x1))))))) -> 2(5(3(1(5(0(4(0(3(4(x1)))))))))) 5(4(4(1(2(4(5(x1))))))) -> 2(1(5(3(2(1(5(0(3(5(x1)))))))))) The (relative) TRS S consists of the following rules: encArg(cons_1(x_1)) -> 1(encArg(x_1)) encArg(cons_3(x_1)) -> 3(encArg(x_1)) encArg(cons_4(x_1)) -> 4(encArg(x_1)) encArg(cons_0(x_1)) -> 0(encArg(x_1)) encArg(cons_2(x_1)) -> 2(encArg(x_1)) encArg(cons_5(x_1)) -> 5(encArg(x_1)) encode_1(x_1) -> 1(encArg(x_1)) encode_5(x_1) -> 5(encArg(x_1)) encode_2(x_1) -> 2(encArg(x_1)) encode_0(x_1) -> 0(encArg(x_1)) encode_3(x_1) -> 3(encArg(x_1)) encode_4(x_1) -> 4(encArg(x_1)) Rewrite Strategy: INNERMOST ---------------------------------------- (3) SInnermostTerminationProof (BOTH CONCRETE BOUNDS(ID, ID)) proved innermost termination of relative rules ---------------------------------------- (4) Obligation: The Runtime Complexity (innermost) of the given CpxRelTRS could be proven to be BOUNDS(1, n^1). The TRS R consists of the following rules: 1(1(5(5(x1)))) -> 2(2(0(2(1(3(0(3(0(4(x1)))))))))) 3(2(2(4(x1)))) -> 4(2(0(2(0(4(1(3(2(0(x1)))))))))) 4(0(1(0(x1)))) -> 2(2(5(4(0(2(0(0(2(5(x1)))))))))) 4(0(1(0(x1)))) -> 3(5(2(2(2(5(1(0(2(5(x1)))))))))) 4(5(1(1(x1)))) -> 4(5(2(0(3(2(5(3(4(1(x1)))))))))) 0(0(2(4(1(x1))))) -> 3(5(0(1(4(0(3(0(4(1(x1)))))))))) 0(1(1(5(1(x1))))) -> 4(0(2(2(2(5(2(4(2(5(x1)))))))))) 1(3(4(2(4(x1))))) -> 1(4(2(0(3(4(0(2(5(1(x1)))))))))) 3(1(2(4(1(x1))))) -> 4(2(2(1(4(2(0(3(5(3(x1)))))))))) 0(0(2(4(0(1(x1)))))) -> 2(2(1(2(2(3(1(2(5(1(x1)))))))))) 0(5(1(2(4(5(x1)))))) -> 0(4(3(2(5(2(3(2(2(5(x1)))))))))) 0(5(4(2(4(5(x1)))))) -> 3(1(5(3(0(3(5(2(5(3(x1)))))))))) 1(4(4(1(1(5(x1)))))) -> 0(2(1(3(3(2(1(3(5(4(x1)))))))))) 1(5(0(1(5(5(x1)))))) -> 2(5(5(3(4(3(2(0(3(4(x1)))))))))) 1(5(2(4(1(0(x1)))))) -> 0(3(4(4(0(4(1(2(3(4(x1)))))))))) 2(3(4(2(3(1(x1)))))) -> 2(2(2(5(5(2(0(0(5(4(x1)))))))))) 2(4(2(4(5(2(x1)))))) -> 0(3(2(5(3(2(3(5(3(2(x1)))))))))) 2(5(0(1(1(5(x1)))))) -> 2(0(4(1(5(4(4(2(5(3(x1)))))))))) 4(0(0(1(1(0(x1)))))) -> 4(2(3(3(0(2(2(5(4(5(x1)))))))))) 4(0(1(1(5(2(x1)))))) -> 2(2(1(1(2(5(1(2(1(3(x1)))))))))) 4(1(1(4(5(1(x1)))))) -> 3(3(2(5(1(4(3(2(3(0(x1)))))))))) 4(2(4(4(5(0(x1)))))) -> 3(3(5(1(2(2(5(1(0(0(x1)))))))))) 4(5(2(3(4(1(x1)))))) -> 3(0(3(4(3(3(2(5(3(0(x1)))))))))) 4(5(2(4(2(4(x1)))))) -> 2(0(4(4(3(1(2(2(5(5(x1)))))))))) 5(5(3(0(0(3(x1)))))) -> 5(5(2(2(2(5(2(0(0(3(x1)))))))))) 0(1(1(0(5(5(0(x1))))))) -> 0(0(3(3(2(2(1(4(2(0(x1)))))))))) 0(3(1(2(3(3(1(x1))))))) -> 2(5(0(3(0(3(4(5(3(1(x1)))))))))) 0(4(0(0(4(2(1(x1))))))) -> 2(3(0(0(0(1(2(5(2(5(x1)))))))))) 0(4(2(4(5(1(1(x1))))))) -> 2(5(5(2(1(3(3(3(0(1(x1)))))))))) 1(1(1(1(4(0(4(x1))))))) -> 5(2(5(4(1(5(0(2(0(4(x1)))))))))) 1(1(1(1(4(5(5(x1))))))) -> 5(0(5(2(2(5(0(0(5(5(x1)))))))))) 1(1(1(5(4(3(0(x1))))))) -> 1(2(5(5(2(0(0(1(3(0(x1)))))))))) 1(1(3(5(4(0(1(x1))))))) -> 1(0(2(3(5(0(2(2(5(0(x1)))))))))) 1(1(4(2(4(4(5(x1))))))) -> 1(4(4(1(3(5(1(1(2(5(x1)))))))))) 1(2(0(1(5(0(1(x1))))))) -> 0(3(0(4(0(4(1(4(3(0(x1)))))))))) 1(3(1(3(1(5(0(x1))))))) -> 1(1(3(2(5(2(2(3(2(5(x1)))))))))) 1(5(3(5(4(4(2(x1))))))) -> 2(5(3(2(5(3(1(0(1(3(x1)))))))))) 2(0(1(1(1(2(1(x1))))))) -> 2(2(0(4(3(1(2(2(5(5(x1)))))))))) 2(1(2(4(1(2(4(x1))))))) -> 2(5(0(1(5(5(2(5(1(1(x1)))))))))) 2(3(4(1(1(5(3(x1))))))) -> 1(4(4(5(2(2(5(1(5(3(x1)))))))))) 2(4(1(0(4(3(2(x1))))))) -> 0(3(5(2(0(5(3(2(0(3(x1)))))))))) 3(4(1(0(4(2(1(x1))))))) -> 1(3(5(5(3(3(2(5(2(1(x1)))))))))) 3(4(2(4(0(0(4(x1))))))) -> 4(4(4(2(2(0(3(0(5(5(x1)))))))))) 3(4(2(4(3(5(3(x1))))))) -> 1(3(4(1(0(2(2(2(5(3(x1)))))))))) 4(1(5(3(4(1(5(x1))))))) -> 4(1(2(3(4(3(3(5(2(5(x1)))))))))) 4(2(2(4(5(4(2(x1))))))) -> 3(1(0(1(4(1(2(5(3(3(x1)))))))))) 4(2(4(5(5(5(0(x1))))))) -> 4(4(1(3(0(2(5(4(2(0(x1)))))))))) 4(4(3(1(2(3(1(x1))))))) -> 3(3(0(5(2(0(0(2(5(4(x1)))))))))) 4(5(4(2(1(2(4(x1))))))) -> 3(4(3(4(3(0(0(1(3(0(x1)))))))))) 5(1(2(3(2(4(5(x1))))))) -> 5(5(2(2(2(1(5(4(4(4(x1)))))))))) 5(4(0(0(2(3(4(x1))))))) -> 2(5(3(1(5(0(4(0(3(4(x1)))))))))) 5(4(4(1(2(4(5(x1))))))) -> 2(1(5(3(2(1(5(0(3(5(x1)))))))))) The (relative) TRS S consists of the following rules: encArg(cons_1(x_1)) -> 1(encArg(x_1)) encArg(cons_3(x_1)) -> 3(encArg(x_1)) encArg(cons_4(x_1)) -> 4(encArg(x_1)) encArg(cons_0(x_1)) -> 0(encArg(x_1)) encArg(cons_2(x_1)) -> 2(encArg(x_1)) encArg(cons_5(x_1)) -> 5(encArg(x_1)) encode_1(x_1) -> 1(encArg(x_1)) encode_5(x_1) -> 5(encArg(x_1)) encode_2(x_1) -> 2(encArg(x_1)) encode_0(x_1) -> 0(encArg(x_1)) encode_3(x_1) -> 3(encArg(x_1)) encode_4(x_1) -> 4(encArg(x_1)) Rewrite Strategy: INNERMOST ---------------------------------------- (5) RelTrsToTrsProof (UPPER BOUND(ID)) transformed relative TRS to TRS ---------------------------------------- (6) Obligation: The Runtime Complexity (innermost) of the given CpxTRS could be proven to be BOUNDS(1, n^1). The TRS R consists of the following rules: 1(1(5(5(x1)))) -> 2(2(0(2(1(3(0(3(0(4(x1)))))))))) 3(2(2(4(x1)))) -> 4(2(0(2(0(4(1(3(2(0(x1)))))))))) 4(0(1(0(x1)))) -> 2(2(5(4(0(2(0(0(2(5(x1)))))))))) 4(0(1(0(x1)))) -> 3(5(2(2(2(5(1(0(2(5(x1)))))))))) 4(5(1(1(x1)))) -> 4(5(2(0(3(2(5(3(4(1(x1)))))))))) 0(0(2(4(1(x1))))) -> 3(5(0(1(4(0(3(0(4(1(x1)))))))))) 0(1(1(5(1(x1))))) -> 4(0(2(2(2(5(2(4(2(5(x1)))))))))) 1(3(4(2(4(x1))))) -> 1(4(2(0(3(4(0(2(5(1(x1)))))))))) 3(1(2(4(1(x1))))) -> 4(2(2(1(4(2(0(3(5(3(x1)))))))))) 0(0(2(4(0(1(x1)))))) -> 2(2(1(2(2(3(1(2(5(1(x1)))))))))) 0(5(1(2(4(5(x1)))))) -> 0(4(3(2(5(2(3(2(2(5(x1)))))))))) 0(5(4(2(4(5(x1)))))) -> 3(1(5(3(0(3(5(2(5(3(x1)))))))))) 1(4(4(1(1(5(x1)))))) -> 0(2(1(3(3(2(1(3(5(4(x1)))))))))) 1(5(0(1(5(5(x1)))))) -> 2(5(5(3(4(3(2(0(3(4(x1)))))))))) 1(5(2(4(1(0(x1)))))) -> 0(3(4(4(0(4(1(2(3(4(x1)))))))))) 2(3(4(2(3(1(x1)))))) -> 2(2(2(5(5(2(0(0(5(4(x1)))))))))) 2(4(2(4(5(2(x1)))))) -> 0(3(2(5(3(2(3(5(3(2(x1)))))))))) 2(5(0(1(1(5(x1)))))) -> 2(0(4(1(5(4(4(2(5(3(x1)))))))))) 4(0(0(1(1(0(x1)))))) -> 4(2(3(3(0(2(2(5(4(5(x1)))))))))) 4(0(1(1(5(2(x1)))))) -> 2(2(1(1(2(5(1(2(1(3(x1)))))))))) 4(1(1(4(5(1(x1)))))) -> 3(3(2(5(1(4(3(2(3(0(x1)))))))))) 4(2(4(4(5(0(x1)))))) -> 3(3(5(1(2(2(5(1(0(0(x1)))))))))) 4(5(2(3(4(1(x1)))))) -> 3(0(3(4(3(3(2(5(3(0(x1)))))))))) 4(5(2(4(2(4(x1)))))) -> 2(0(4(4(3(1(2(2(5(5(x1)))))))))) 5(5(3(0(0(3(x1)))))) -> 5(5(2(2(2(5(2(0(0(3(x1)))))))))) 0(1(1(0(5(5(0(x1))))))) -> 0(0(3(3(2(2(1(4(2(0(x1)))))))))) 0(3(1(2(3(3(1(x1))))))) -> 2(5(0(3(0(3(4(5(3(1(x1)))))))))) 0(4(0(0(4(2(1(x1))))))) -> 2(3(0(0(0(1(2(5(2(5(x1)))))))))) 0(4(2(4(5(1(1(x1))))))) -> 2(5(5(2(1(3(3(3(0(1(x1)))))))))) 1(1(1(1(4(0(4(x1))))))) -> 5(2(5(4(1(5(0(2(0(4(x1)))))))))) 1(1(1(1(4(5(5(x1))))))) -> 5(0(5(2(2(5(0(0(5(5(x1)))))))))) 1(1(1(5(4(3(0(x1))))))) -> 1(2(5(5(2(0(0(1(3(0(x1)))))))))) 1(1(3(5(4(0(1(x1))))))) -> 1(0(2(3(5(0(2(2(5(0(x1)))))))))) 1(1(4(2(4(4(5(x1))))))) -> 1(4(4(1(3(5(1(1(2(5(x1)))))))))) 1(2(0(1(5(0(1(x1))))))) -> 0(3(0(4(0(4(1(4(3(0(x1)))))))))) 1(3(1(3(1(5(0(x1))))))) -> 1(1(3(2(5(2(2(3(2(5(x1)))))))))) 1(5(3(5(4(4(2(x1))))))) -> 2(5(3(2(5(3(1(0(1(3(x1)))))))))) 2(0(1(1(1(2(1(x1))))))) -> 2(2(0(4(3(1(2(2(5(5(x1)))))))))) 2(1(2(4(1(2(4(x1))))))) -> 2(5(0(1(5(5(2(5(1(1(x1)))))))))) 2(3(4(1(1(5(3(x1))))))) -> 1(4(4(5(2(2(5(1(5(3(x1)))))))))) 2(4(1(0(4(3(2(x1))))))) -> 0(3(5(2(0(5(3(2(0(3(x1)))))))))) 3(4(1(0(4(2(1(x1))))))) -> 1(3(5(5(3(3(2(5(2(1(x1)))))))))) 3(4(2(4(0(0(4(x1))))))) -> 4(4(4(2(2(0(3(0(5(5(x1)))))))))) 3(4(2(4(3(5(3(x1))))))) -> 1(3(4(1(0(2(2(2(5(3(x1)))))))))) 4(1(5(3(4(1(5(x1))))))) -> 4(1(2(3(4(3(3(5(2(5(x1)))))))))) 4(2(2(4(5(4(2(x1))))))) -> 3(1(0(1(4(1(2(5(3(3(x1)))))))))) 4(2(4(5(5(5(0(x1))))))) -> 4(4(1(3(0(2(5(4(2(0(x1)))))))))) 4(4(3(1(2(3(1(x1))))))) -> 3(3(0(5(2(0(0(2(5(4(x1)))))))))) 4(5(4(2(1(2(4(x1))))))) -> 3(4(3(4(3(0(0(1(3(0(x1)))))))))) 5(1(2(3(2(4(5(x1))))))) -> 5(5(2(2(2(1(5(4(4(4(x1)))))))))) 5(4(0(0(2(3(4(x1))))))) -> 2(5(3(1(5(0(4(0(3(4(x1)))))))))) 5(4(4(1(2(4(5(x1))))))) -> 2(1(5(3(2(1(5(0(3(5(x1)))))))))) encArg(cons_1(x_1)) -> 1(encArg(x_1)) encArg(cons_3(x_1)) -> 3(encArg(x_1)) encArg(cons_4(x_1)) -> 4(encArg(x_1)) encArg(cons_0(x_1)) -> 0(encArg(x_1)) encArg(cons_2(x_1)) -> 2(encArg(x_1)) encArg(cons_5(x_1)) -> 5(encArg(x_1)) encode_1(x_1) -> 1(encArg(x_1)) encode_5(x_1) -> 5(encArg(x_1)) encode_2(x_1) -> 2(encArg(x_1)) encode_0(x_1) -> 0(encArg(x_1)) encode_3(x_1) -> 3(encArg(x_1)) encode_4(x_1) -> 4(encArg(x_1)) S is empty. Rewrite Strategy: INNERMOST ---------------------------------------- (7) CpxTrsMatchBoundsProof (FINISHED) A linear upper bound on the runtime complexity of the TRS R could be shown with a Match Bound [MATCHBOUNDS1,MATCHBOUNDS2] of 3. The certificate found is represented by the following graph. "[122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 149, 150, 151, 152, 153, 154, 155, 156, 157, 158, 159, 160, 161, 162, 163, 164, 165, 166, 167, 168, 169, 170, 171, 172, 173, 174, 175, 176, 177, 178, 179, 180, 181, 182, 183, 184, 185, 186, 187, 188, 189, 190, 191, 192, 193, 194, 195, 196, 197, 198, 199, 200, 201, 202, 203, 204, 205, 206, 207, 208, 209, 210, 211, 212, 213, 214, 215, 216, 217, 218, 219, 220, 221, 222, 223, 224, 225, 226, 227, 228, 229, 230, 231, 232, 233, 234, 235, 236, 237, 238, 239, 240, 241, 242, 243, 244, 245, 246, 247, 248, 249, 250, 251, 252, 253, 254, 255, 256, 257, 258, 259, 260, 261, 262, 263, 264, 265, 266, 267, 268, 269, 270, 271, 272, 273, 274, 275, 276, 277, 278, 279, 280, 281, 282, 283, 284, 285, 286, 287, 288, 289, 290, 291, 292, 293, 294, 295, 296, 297, 298, 299, 300, 301, 302, 303, 304, 305, 306, 307, 308, 309, 310, 311, 312, 313, 314, 315, 316, 317, 318, 319, 320, 321, 322, 323, 324, 325, 326, 327, 328, 329, 330, 331, 332, 333, 334, 335, 336, 337, 338, 339, 340, 341, 342, 343, 344, 345, 346, 347, 348, 349, 350, 351, 352, 353, 354, 355, 356, 357, 358, 359, 360, 361, 362, 363, 364, 365, 366, 367, 368, 369, 370, 371, 372, 373, 374, 375, 376, 377, 378, 379, 380, 381, 382, 383, 384, 385, 386, 387, 388, 389, 390, 391, 392, 393, 394, 395, 396, 397, 398, 399, 400, 401, 402, 403, 404, 405, 406, 407, 408, 409, 410, 411, 412, 413, 414, 415, 416, 417, 418, 419, 420, 421, 422, 423, 424, 425, 426, 427, 428, 429, 430, 431, 432, 433, 434, 435, 436, 437, 438, 439, 440, 441, 442, 443, 444, 445, 446, 447, 448, 449, 450, 451, 452, 453, 454, 455, 456, 457, 458, 459, 460, 461, 462, 463, 464, 465, 466, 467, 468, 469, 470, 471, 472, 473, 474, 475, 476, 477, 478, 479, 480, 481, 482, 483, 484, 485, 486, 487, 488, 489, 490, 491, 492, 493, 494, 495, 496, 497, 498, 499, 500, 501, 502, 503, 504, 505, 506, 507, 508, 509, 510, 511, 512, 513, 514, 515, 516, 517, 518, 519, 520, 521, 522, 523, 524, 525, 526, 527, 528, 529, 530, 531, 532, 533, 534, 535, 536, 537, 538, 539, 540, 541, 542, 543, 544, 545, 546, 547, 548, 549, 550, 551, 552, 553, 554, 555, 556, 557, 558, 559, 560, 561, 562, 563, 564, 565, 566, 567, 568, 569, 570, 571, 572, 573, 574, 575, 576, 577, 578, 579, 580, 581, 582, 583, 584, 585, 586, 587, 588, 589, 590, 591, 592, 593, 594, 595, 596, 597, 598, 599, 600, 601, 602, 603, 604, 605, 606, 607, 608, 609, 610] {(122,123,[1_1|0, 3_1|0, 4_1|0, 0_1|0, 2_1|0, 5_1|0, encArg_1|0, encode_1_1|0, encode_5_1|0, encode_2_1|0, encode_0_1|0, encode_3_1|0, encode_4_1|0]), (122,124,[1_1|1, 3_1|1, 4_1|1, 0_1|1, 2_1|1, 5_1|1]), (122,125,[2_1|2]), (122,134,[5_1|2]), (122,143,[5_1|2]), (122,152,[1_1|2]), (122,161,[1_1|2]), (122,170,[1_1|2]), (122,179,[1_1|2]), (122,188,[1_1|2]), (122,197,[0_1|2]), (122,206,[2_1|2]), (122,215,[0_1|2]), (122,224,[2_1|2]), (122,233,[0_1|2]), (122,242,[4_1|2]), (122,251,[4_1|2]), (122,260,[1_1|2]), (122,269,[4_1|2]), (122,278,[1_1|2]), (122,287,[2_1|2]), (122,296,[3_1|2]), (122,305,[2_1|2]), (122,314,[4_1|2]), (122,323,[4_1|2]), (122,332,[3_1|2]), (122,341,[2_1|2]), (122,350,[3_1|2]), (122,359,[3_1|2]), (122,368,[4_1|2]), (122,377,[3_1|2]), (122,386,[4_1|2]), (122,395,[3_1|2]), (122,404,[3_1|2]), (122,413,[3_1|2]), (122,422,[2_1|2]), (122,431,[4_1|2]), (122,440,[0_1|2]), (122,449,[0_1|2]), (122,458,[3_1|2]), (122,467,[2_1|2]), (122,476,[2_1|2]), (122,485,[2_1|2]), (122,494,[2_1|2]), (122,503,[1_1|2]), (122,512,[0_1|2]), (122,521,[0_1|2]), (122,530,[2_1|2]), (122,539,[2_1|2]), (122,548,[2_1|2]), (122,557,[5_1|2]), (122,566,[5_1|2]), (122,575,[2_1|2]), (122,584,[2_1|2]), (123,123,[cons_1_1|0, cons_3_1|0, cons_4_1|0, cons_0_1|0, cons_2_1|0, cons_5_1|0]), (124,123,[encArg_1|1]), (124,124,[1_1|1, 3_1|1, 4_1|1, 0_1|1, 2_1|1, 5_1|1]), (124,125,[2_1|2]), (124,134,[5_1|2]), (124,143,[5_1|2]), (124,152,[1_1|2]), (124,161,[1_1|2]), (124,170,[1_1|2]), (124,179,[1_1|2]), (124,188,[1_1|2]), (124,197,[0_1|2]), (124,206,[2_1|2]), (124,215,[0_1|2]), (124,224,[2_1|2]), (124,233,[0_1|2]), (124,242,[4_1|2]), (124,251,[4_1|2]), (124,260,[1_1|2]), (124,269,[4_1|2]), (124,278,[1_1|2]), (124,287,[2_1|2]), (124,296,[3_1|2]), (124,305,[2_1|2]), (124,314,[4_1|2]), (124,323,[4_1|2]), (124,332,[3_1|2]), (124,341,[2_1|2]), (124,350,[3_1|2]), (124,359,[3_1|2]), (124,368,[4_1|2]), (124,377,[3_1|2]), (124,386,[4_1|2]), (124,395,[3_1|2]), (124,404,[3_1|2]), (124,413,[3_1|2]), (124,422,[2_1|2]), (124,431,[4_1|2]), (124,440,[0_1|2]), (124,449,[0_1|2]), (124,458,[3_1|2]), (124,467,[2_1|2]), (124,476,[2_1|2]), (124,485,[2_1|2]), (124,494,[2_1|2]), (124,503,[1_1|2]), (124,512,[0_1|2]), (124,521,[0_1|2]), (124,530,[2_1|2]), (124,539,[2_1|2]), (124,548,[2_1|2]), (124,557,[5_1|2]), (124,566,[5_1|2]), (124,575,[2_1|2]), (124,584,[2_1|2]), (125,126,[2_1|2]), (126,127,[0_1|2]), (127,128,[2_1|2]), (128,129,[1_1|2]), (129,130,[3_1|2]), (130,131,[0_1|2]), (131,132,[3_1|2]), (132,133,[0_1|2]), (132,476,[2_1|2]), (132,485,[2_1|2]), (133,124,[4_1|2]), (133,134,[4_1|2]), (133,143,[4_1|2]), (133,557,[4_1|2]), (133,566,[4_1|2]), (133,558,[4_1|2]), (133,567,[4_1|2]), (133,287,[2_1|2]), (133,296,[3_1|2]), (133,305,[2_1|2]), (133,314,[4_1|2]), (133,323,[4_1|2]), (133,332,[3_1|2]), (133,341,[2_1|2]), (133,350,[3_1|2]), (133,359,[3_1|2]), (133,368,[4_1|2]), (133,377,[3_1|2]), (133,386,[4_1|2]), (133,395,[3_1|2]), (133,404,[3_1|2]), (134,135,[2_1|2]), (135,136,[5_1|2]), (136,137,[4_1|2]), (137,138,[1_1|2]), (138,139,[5_1|2]), (139,140,[0_1|2]), (140,141,[2_1|2]), (141,142,[0_1|2]), (141,476,[2_1|2]), (141,485,[2_1|2]), (142,124,[4_1|2]), (142,242,[4_1|2]), (142,251,[4_1|2]), (142,269,[4_1|2]), (142,314,[4_1|2]), (142,323,[4_1|2]), (142,368,[4_1|2]), (142,386,[4_1|2]), (142,431,[4_1|2]), (142,450,[4_1|2]), (142,287,[2_1|2]), (142,296,[3_1|2]), (142,305,[2_1|2]), (142,332,[3_1|2]), (142,341,[2_1|2]), (142,350,[3_1|2]), (142,359,[3_1|2]), (142,377,[3_1|2]), (142,395,[3_1|2]), (142,404,[3_1|2]), (143,144,[0_1|2]), (144,145,[5_1|2]), (145,146,[2_1|2]), (146,147,[2_1|2]), (147,148,[5_1|2]), (148,149,[0_1|2]), (149,150,[0_1|2]), (150,151,[5_1|2]), (150,557,[5_1|2]), (151,124,[5_1|2]), (151,134,[5_1|2]), (151,143,[5_1|2]), (151,557,[5_1|2]), (151,566,[5_1|2]), (151,558,[5_1|2]), (151,567,[5_1|2]), (151,575,[2_1|2]), (151,584,[2_1|2]), (152,153,[2_1|2]), (153,154,[5_1|2]), (154,155,[5_1|2]), (155,156,[2_1|2]), (156,157,[0_1|2]), (157,158,[0_1|2]), (158,159,[1_1|2]), (159,160,[3_1|2]), (160,124,[0_1|2]), (160,197,[0_1|2]), (160,215,[0_1|2]), (160,233,[0_1|2]), (160,440,[0_1|2]), (160,449,[0_1|2]), (160,512,[0_1|2]), (160,521,[0_1|2]), (160,333,[0_1|2]), (160,413,[3_1|2]), (160,422,[2_1|2]), (160,431,[4_1|2]), (160,458,[3_1|2]), (160,467,[2_1|2]), (160,476,[2_1|2]), (160,485,[2_1|2]), (161,162,[0_1|2]), (162,163,[2_1|2]), (163,164,[3_1|2]), (164,165,[5_1|2]), (165,166,[0_1|2]), (166,167,[2_1|2]), (167,168,[2_1|2]), (167,530,[2_1|2]), (168,169,[5_1|2]), (169,124,[0_1|2]), (169,152,[0_1|2]), (169,161,[0_1|2]), (169,170,[0_1|2]), (169,179,[0_1|2]), (169,188,[0_1|2]), (169,260,[0_1|2]), (169,278,[0_1|2]), (169,503,[0_1|2]), (169,413,[3_1|2]), (169,422,[2_1|2]), (169,431,[4_1|2]), (169,440,[0_1|2]), (169,449,[0_1|2]), (169,458,[3_1|2]), (169,467,[2_1|2]), (169,476,[2_1|2]), (169,485,[2_1|2]), (170,171,[4_1|2]), (171,172,[4_1|2]), (172,173,[1_1|2]), (173,174,[3_1|2]), (174,175,[5_1|2]), (175,176,[1_1|2]), (176,177,[1_1|2]), (177,178,[2_1|2]), (177,530,[2_1|2]), (178,124,[5_1|2]), (178,134,[5_1|2]), (178,143,[5_1|2]), (178,557,[5_1|2]), (178,566,[5_1|2]), (178,324,[5_1|2]), (178,575,[2_1|2]), (178,584,[2_1|2]), (179,180,[4_1|2]), (180,181,[2_1|2]), (181,182,[0_1|2]), (182,183,[3_1|2]), (183,184,[4_1|2]), (184,185,[0_1|2]), (185,186,[2_1|2]), (186,187,[5_1|2]), (186,566,[5_1|2]), (187,124,[1_1|2]), (187,242,[1_1|2]), (187,251,[1_1|2]), (187,269,[1_1|2]), (187,314,[1_1|2]), (187,323,[1_1|2]), (187,368,[1_1|2]), (187,386,[1_1|2]), (187,431,[1_1|2]), (187,125,[2_1|2]), (187,134,[5_1|2]), (187,143,[5_1|2]), (187,152,[1_1|2]), (187,161,[1_1|2]), (187,170,[1_1|2]), (187,179,[1_1|2]), (187,188,[1_1|2]), (187,197,[0_1|2]), (187,206,[2_1|2]), (187,215,[0_1|2]), (187,224,[2_1|2]), (187,233,[0_1|2]), (188,189,[1_1|2]), (189,190,[3_1|2]), (190,191,[2_1|2]), (191,192,[5_1|2]), (192,193,[2_1|2]), (193,194,[2_1|2]), (194,195,[3_1|2]), (195,196,[2_1|2]), (195,530,[2_1|2]), (196,124,[5_1|2]), (196,197,[5_1|2]), (196,215,[5_1|2]), (196,233,[5_1|2]), (196,440,[5_1|2]), (196,449,[5_1|2]), (196,512,[5_1|2]), (196,521,[5_1|2]), (196,144,[5_1|2]), (196,557,[5_1|2]), (196,566,[5_1|2]), (196,575,[2_1|2]), (196,584,[2_1|2]), (197,198,[2_1|2]), (198,199,[1_1|2]), (199,200,[3_1|2]), (200,201,[3_1|2]), (201,202,[2_1|2]), (202,203,[1_1|2]), (203,204,[3_1|2]), (204,205,[5_1|2]), (204,575,[2_1|2]), (204,584,[2_1|2]), (205,124,[4_1|2]), (205,134,[4_1|2]), (205,143,[4_1|2]), (205,557,[4_1|2]), (205,566,[4_1|2]), (205,287,[2_1|2]), (205,296,[3_1|2]), (205,305,[2_1|2]), (205,314,[4_1|2]), (205,323,[4_1|2]), (205,332,[3_1|2]), (205,341,[2_1|2]), (205,350,[3_1|2]), (205,359,[3_1|2]), (205,368,[4_1|2]), (205,377,[3_1|2]), (205,386,[4_1|2]), (205,395,[3_1|2]), (205,404,[3_1|2]), (206,207,[5_1|2]), (207,208,[5_1|2]), (208,209,[3_1|2]), (209,210,[4_1|2]), (210,211,[3_1|2]), (211,212,[2_1|2]), (212,213,[0_1|2]), (213,214,[3_1|2]), (213,260,[1_1|2]), (213,269,[4_1|2]), (213,278,[1_1|2]), (214,124,[4_1|2]), (214,134,[4_1|2]), (214,143,[4_1|2]), (214,557,[4_1|2]), (214,566,[4_1|2]), (214,558,[4_1|2]), (214,567,[4_1|2]), (214,287,[2_1|2]), (214,296,[3_1|2]), (214,305,[2_1|2]), (214,314,[4_1|2]), (214,323,[4_1|2]), (214,332,[3_1|2]), (214,341,[2_1|2]), (214,350,[3_1|2]), (214,359,[3_1|2]), (214,368,[4_1|2]), (214,377,[3_1|2]), (214,386,[4_1|2]), (214,395,[3_1|2]), (214,404,[3_1|2]), (215,216,[3_1|2]), (216,217,[4_1|2]), (217,218,[4_1|2]), (218,219,[0_1|2]), (219,220,[4_1|2]), (220,221,[1_1|2]), (221,222,[2_1|2]), (221,494,[2_1|2]), (221,503,[1_1|2]), (222,223,[3_1|2]), (222,260,[1_1|2]), (222,269,[4_1|2]), (222,278,[1_1|2]), (223,124,[4_1|2]), (223,197,[4_1|2]), (223,215,[4_1|2]), (223,233,[4_1|2]), (223,440,[4_1|2]), (223,449,[4_1|2]), (223,512,[4_1|2]), (223,521,[4_1|2]), (223,162,[4_1|2]), (223,287,[2_1|2]), (223,296,[3_1|2]), (223,305,[2_1|2]), (223,314,[4_1|2]), (223,323,[4_1|2]), (223,332,[3_1|2]), (223,341,[2_1|2]), (223,350,[3_1|2]), (223,359,[3_1|2]), (223,368,[4_1|2]), (223,377,[3_1|2]), (223,386,[4_1|2]), (223,395,[3_1|2]), (223,404,[3_1|2]), (224,225,[5_1|2]), (225,226,[3_1|2]), (226,227,[2_1|2]), (227,228,[5_1|2]), (228,229,[3_1|2]), (229,230,[1_1|2]), (230,231,[0_1|2]), (231,232,[1_1|2]), (231,179,[1_1|2]), (231,188,[1_1|2]), (232,124,[3_1|2]), (232,125,[3_1|2]), (232,206,[3_1|2]), (232,224,[3_1|2]), (232,287,[3_1|2]), (232,305,[3_1|2]), (232,341,[3_1|2]), (232,422,[3_1|2]), (232,467,[3_1|2]), (232,476,[3_1|2]), (232,485,[3_1|2]), (232,494,[3_1|2]), (232,530,[3_1|2]), (232,539,[3_1|2]), (232,548,[3_1|2]), (232,575,[3_1|2]), (232,584,[3_1|2]), (232,243,[3_1|2]), (232,252,[3_1|2]), (232,315,[3_1|2]), (232,242,[4_1|2]), (232,251,[4_1|2]), (232,260,[1_1|2]), (232,269,[4_1|2]), (232,278,[1_1|2]), (233,234,[3_1|2]), (234,235,[0_1|2]), (235,236,[4_1|2]), (236,237,[0_1|2]), (237,238,[4_1|2]), (238,239,[1_1|2]), (239,240,[4_1|2]), (240,241,[3_1|2]), (241,124,[0_1|2]), (241,152,[0_1|2]), (241,161,[0_1|2]), (241,170,[0_1|2]), (241,179,[0_1|2]), (241,188,[0_1|2]), (241,260,[0_1|2]), (241,278,[0_1|2]), (241,503,[0_1|2]), (241,413,[3_1|2]), (241,422,[2_1|2]), (241,431,[4_1|2]), (241,440,[0_1|2]), (241,449,[0_1|2]), (241,458,[3_1|2]), (241,467,[2_1|2]), (241,476,[2_1|2]), (241,485,[2_1|2]), (242,243,[2_1|2]), (243,244,[0_1|2]), (244,245,[2_1|2]), (245,246,[0_1|2]), (246,247,[4_1|2]), (247,248,[1_1|2]), (248,249,[3_1|2]), (249,250,[2_1|2]), (249,539,[2_1|2]), (250,124,[0_1|2]), (250,242,[0_1|2]), (250,251,[0_1|2]), (250,269,[0_1|2]), (250,314,[0_1|2]), (250,323,[0_1|2]), (250,368,[0_1|2]), 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(507,508,[2_1|2]), (508,509,[5_1|2]), (509,510,[1_1|2]), (509,224,[2_1|2]), (510,511,[5_1|2]), (511,124,[3_1|2]), (511,296,[3_1|2]), (511,332,[3_1|2]), (511,350,[3_1|2]), (511,359,[3_1|2]), (511,377,[3_1|2]), (511,395,[3_1|2]), (511,404,[3_1|2]), (511,413,[3_1|2]), (511,458,[3_1|2]), (511,242,[4_1|2]), (511,251,[4_1|2]), (511,260,[1_1|2]), (511,269,[4_1|2]), (511,278,[1_1|2]), (512,513,[3_1|2]), (513,514,[2_1|2]), (514,515,[5_1|2]), (515,516,[3_1|2]), (516,517,[2_1|2]), (517,518,[3_1|2]), (518,519,[5_1|2]), (519,520,[3_1|2]), (519,242,[4_1|2]), (520,124,[2_1|2]), (520,125,[2_1|2]), (520,206,[2_1|2]), (520,224,[2_1|2]), (520,287,[2_1|2]), (520,305,[2_1|2]), (520,341,[2_1|2]), (520,422,[2_1|2]), (520,467,[2_1|2]), (520,476,[2_1|2]), (520,485,[2_1|2]), (520,494,[2_1|2]), (520,530,[2_1|2]), (520,539,[2_1|2]), (520,548,[2_1|2]), (520,575,[2_1|2]), (520,584,[2_1|2]), (520,135,[2_1|2]), (520,325,[2_1|2]), (520,503,[1_1|2]), (520,512,[0_1|2]), (520,521,[0_1|2]), (521,522,[3_1|2]), (522,523,[5_1|2]), (523,524,[2_1|2]), (524,525,[0_1|2]), (525,526,[5_1|2]), (526,527,[3_1|2]), (527,528,[2_1|2]), (528,529,[0_1|2]), (528,467,[2_1|2]), (529,124,[3_1|2]), (529,125,[3_1|2]), (529,206,[3_1|2]), (529,224,[3_1|2]), (529,287,[3_1|2]), (529,305,[3_1|2]), (529,341,[3_1|2]), (529,422,[3_1|2]), (529,467,[3_1|2]), (529,476,[3_1|2]), (529,485,[3_1|2]), (529,494,[3_1|2]), (529,530,[3_1|2]), (529,539,[3_1|2]), (529,548,[3_1|2]), (529,575,[3_1|2]), (529,584,[3_1|2]), (529,452,[3_1|2]), (529,242,[4_1|2]), (529,251,[4_1|2]), (529,260,[1_1|2]), (529,269,[4_1|2]), (529,278,[1_1|2]), (530,531,[0_1|2]), (531,532,[4_1|2]), (532,533,[1_1|2]), (533,534,[5_1|2]), (534,535,[4_1|2]), (535,536,[4_1|2]), (536,537,[2_1|2]), (537,538,[5_1|2]), (538,124,[3_1|2]), (538,134,[3_1|2]), (538,143,[3_1|2]), (538,557,[3_1|2]), (538,566,[3_1|2]), (538,242,[4_1|2]), (538,251,[4_1|2]), (538,260,[1_1|2]), (538,269,[4_1|2]), (538,278,[1_1|2]), (539,540,[2_1|2]), (540,541,[0_1|2]), (541,542,[4_1|2]), (542,543,[3_1|2]), (543,544,[1_1|2]), (544,545,[2_1|2]), (545,546,[2_1|2]), (546,547,[5_1|2]), (546,557,[5_1|2]), (547,124,[5_1|2]), (547,152,[5_1|2]), (547,161,[5_1|2]), (547,170,[5_1|2]), (547,179,[5_1|2]), (547,188,[5_1|2]), (547,260,[5_1|2]), (547,278,[5_1|2]), (547,503,[5_1|2]), (547,585,[5_1|2]), (547,557,[5_1|2]), (547,566,[5_1|2]), (547,575,[2_1|2]), (547,584,[2_1|2]), (548,549,[5_1|2]), (549,550,[0_1|2]), (550,551,[1_1|2]), (551,552,[5_1|2]), (552,553,[5_1|2]), (553,554,[2_1|2]), (554,555,[5_1|2]), (555,556,[1_1|2]), (555,125,[2_1|2]), (555,134,[5_1|2]), (555,143,[5_1|2]), (555,152,[1_1|2]), (555,161,[1_1|2]), (555,170,[1_1|2]), (555,602,[2_1|3]), (556,124,[1_1|2]), (556,242,[1_1|2]), (556,251,[1_1|2]), (556,269,[1_1|2]), (556,314,[1_1|2]), (556,323,[1_1|2]), (556,368,[1_1|2]), (556,386,[1_1|2]), (556,431,[1_1|2]), (556,125,[2_1|2]), (556,134,[5_1|2]), (556,143,[5_1|2]), (556,152,[1_1|2]), (556,161,[1_1|2]), (556,170,[1_1|2]), (556,179,[1_1|2]), (556,188,[1_1|2]), (556,197,[0_1|2]), (556,206,[2_1|2]), (556,215,[0_1|2]), (556,224,[2_1|2]), (556,233,[0_1|2]), (557,558,[5_1|2]), (558,559,[2_1|2]), (559,560,[2_1|2]), (560,561,[2_1|2]), (561,562,[5_1|2]), (562,563,[2_1|2]), (563,564,[0_1|2]), (564,565,[0_1|2]), (564,467,[2_1|2]), (565,124,[3_1|2]), (565,296,[3_1|2]), (565,332,[3_1|2]), (565,350,[3_1|2]), (565,359,[3_1|2]), (565,377,[3_1|2]), (565,395,[3_1|2]), (565,404,[3_1|2]), (565,413,[3_1|2]), (565,458,[3_1|2]), (565,216,[3_1|2]), (565,234,[3_1|2]), (565,513,[3_1|2]), (565,522,[3_1|2]), (565,442,[3_1|2]), (565,242,[4_1|2]), (565,251,[4_1|2]), (565,260,[1_1|2]), (565,269,[4_1|2]), (565,278,[1_1|2]), (566,567,[5_1|2]), (567,568,[2_1|2]), (568,569,[2_1|2]), (569,570,[2_1|2]), (570,571,[1_1|2]), (571,572,[5_1|2]), (572,573,[4_1|2]), (573,574,[4_1|2]), (573,404,[3_1|2]), (574,124,[4_1|2]), (574,134,[4_1|2]), (574,143,[4_1|2]), (574,557,[4_1|2]), (574,566,[4_1|2]), (574,324,[4_1|2]), (574,287,[2_1|2]), (574,296,[3_1|2]), (574,305,[2_1|2]), (574,314,[4_1|2]), (574,323,[4_1|2]), (574,332,[3_1|2]), (574,341,[2_1|2]), (574,350,[3_1|2]), (574,359,[3_1|2]), (574,368,[4_1|2]), (574,377,[3_1|2]), (574,386,[4_1|2]), (574,395,[3_1|2]), (574,404,[3_1|2]), (575,576,[5_1|2]), (576,577,[3_1|2]), (577,578,[1_1|2]), (578,579,[5_1|2]), (579,580,[0_1|2]), (580,581,[4_1|2]), (581,582,[0_1|2]), (582,583,[3_1|2]), (582,260,[1_1|2]), (582,269,[4_1|2]), (582,278,[1_1|2]), (583,124,[4_1|2]), (583,242,[4_1|2]), (583,251,[4_1|2]), (583,269,[4_1|2]), (583,314,[4_1|2]), (583,323,[4_1|2]), (583,368,[4_1|2]), (583,386,[4_1|2]), (583,431,[4_1|2]), (583,351,[4_1|2]), (583,287,[2_1|2]), (583,296,[3_1|2]), (583,305,[2_1|2]), (583,332,[3_1|2]), (583,341,[2_1|2]), (583,350,[3_1|2]), (583,359,[3_1|2]), (583,377,[3_1|2]), (583,395,[3_1|2]), (583,404,[3_1|2]), (584,585,[1_1|2]), (585,586,[5_1|2]), (586,587,[3_1|2]), (587,588,[2_1|2]), (588,589,[1_1|2]), (589,590,[5_1|2]), (590,591,[0_1|2]), (591,592,[3_1|2]), (592,124,[5_1|2]), (592,134,[5_1|2]), (592,143,[5_1|2]), (592,557,[5_1|2]), (592,566,[5_1|2]), (592,324,[5_1|2]), (592,575,[2_1|2]), (592,584,[2_1|2]), (593,594,[5_1|3]), (594,595,[2_1|3]), (595,596,[0_1|3]), (596,597,[3_1|3]), (597,598,[2_1|3]), (598,599,[5_1|3]), (599,600,[3_1|3]), (600,601,[4_1|3]), (601,189,[1_1|3]), (602,603,[2_1|3]), (603,604,[0_1|3]), (604,605,[2_1|3]), (605,606,[1_1|3]), (606,607,[3_1|3]), (607,608,[0_1|3]), (608,609,[3_1|3]), (609,610,[0_1|3]), (610,558,[4_1|3]), (610,567,[4_1|3])}" ---------------------------------------- (8) BOUNDS(1, n^1)