/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# AProVE Commit ID: 794c25de1cacf0d048858bcd21c9a779e1221865 marcel 20200619 unpublished dirty The Derivational Complexity (innermost) of the given DCpxTrs could be proven to be BOUNDS(1, n^1).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), 43 ms] (4) CpxRelTRS (5) RelTrsToTrsProof [UPPER BOUND(ID), 0 ms] (6) CpxTRS (7) CpxTrsMatchBoundsProof [FINISHED, 155 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: 0(0(1(1(0(x1))))) -> 0(2(3(2(3(4(4(0(5(0(x1)))))))))) 0(0(3(3(4(x1))))) -> 5(2(3(5(2(3(0(2(1(3(x1)))))))))) 0(0(3(3(1(3(x1)))))) -> 4(5(2(3(5(5(2(2(0(1(x1)))))))))) 0(0(5(3(1(4(x1)))))) -> 4(2(0(2(3(0(2(1(0(3(x1)))))))))) 0(3(3(4(1(0(x1)))))) -> 0(2(5(0(0(2(2(2(3(0(x1)))))))))) 1(1(2(3(3(1(x1)))))) -> 3(0(5(1(5(2(2(2(3(3(x1)))))))))) 1(3(2(4(4(2(x1)))))) -> 1(0(5(2(3(4(0(2(3(5(x1)))))))))) 1(4(3(3(1(1(x1)))))) -> 2(4(0(4(4(1(3(4(1(1(x1)))))))))) 1(5(1(2(0(4(x1)))))) -> 1(5(5(2(2(2(1(4(0(4(x1)))))))))) 2(0(0(0(3(1(x1)))))) -> 2(1(4(0(2(4(4(2(1(3(x1)))))))))) 2(4(3(2(0(3(x1)))))) -> 2(2(4(4(2(1(3(5(0(3(x1)))))))))) 3(1(5(5(1(1(x1)))))) -> 2(5(2(3(5(2(1(4(3(4(x1)))))))))) 4(0(1(1(1(0(x1)))))) -> 0(5(5(2(3(1(2(5(2(2(x1)))))))))) 4(3(0(3(3(1(x1)))))) -> 4(4(2(2(1(2(2(3(2(1(x1)))))))))) 4(5(0(1(1(1(x1)))))) -> 2(0(2(4(5(2(3(0(2(1(x1)))))))))) 5(1(4(2(4(3(x1)))))) -> 0(5(2(3(0(5(0(2(1(3(x1)))))))))) 0(0(0(1(4(1(1(x1))))))) -> 0(0(1(3(2(0(2(3(0(4(x1)))))))))) 0(0(1(1(5(1(0(x1))))))) -> 4(4(5(2(3(0(1(4(3(0(x1)))))))))) 0(1(1(5(1(4(0(x1))))))) -> 0(2(1(5(2(2(5(4(3(0(x1)))))))))) 0(4(3(3(1(5(4(x1))))))) -> 0(5(0(4(5(4(0(2(1(3(x1)))))))))) 0(5(3(1(1(2(5(x1))))))) -> 2(4(5(4(0(2(4(0(5(0(x1)))))))))) 1(0(3(1(3(1(2(x1))))))) -> 2(2(4(1(2(3(5(4(2(2(x1)))))))))) 1(0(5(3(2(5(1(x1))))))) -> 2(4(4(2(1(3(5(3(5(3(x1)))))))))) 1(3(1(4(5(3(5(x1))))))) -> 2(1(5(2(2(3(2(3(5(5(x1)))))))))) 1(3(3(3(1(1(3(x1))))))) -> 2(1(4(4(4(3(4(4(2(1(x1)))))))))) 1(3(4(1(2(4(2(x1))))))) -> 1(3(5(0(5(2(3(5(4(2(x1)))))))))) 1(5(1(1(4(2(5(x1))))))) -> 1(1(4(2(2(3(0(2(2(5(x1)))))))))) 2(0(3(2(4(5(0(x1))))))) -> 2(5(2(5(5(5(2(3(5(0(x1)))))))))) 2(0(5(0(3(3(2(x1))))))) -> 3(0(1(2(2(3(2(3(5(2(x1)))))))))) 2(4(1(0(4(3(1(x1))))))) -> 2(2(2(2(1(4(3(2(0(1(x1)))))))))) 2(4(3(1(5(1(2(x1))))))) -> 1(4(2(2(1(1(2(3(2(2(x1)))))))))) 2(5(1(1(3(1(4(x1))))))) -> 3(0(1(4(4(5(2(2(2(1(x1)))))))))) 3(1(1(1(2(3(1(x1))))))) -> 3(0(2(2(5(3(0(2(2(3(x1)))))))))) 4(0(0(1(4(3(1(x1))))))) -> 4(0(2(2(2(1(5(0(3(4(x1)))))))))) 4(0(4(3(3(3(1(x1))))))) -> 2(5(5(2(4(4(4(2(4(1(x1)))))))))) 4(1(0(3(3(1(0(x1))))))) -> 2(0(5(4(3(2(1(2(1(0(x1)))))))))) 4(1(5(2(0(1(3(x1))))))) -> 0(5(0(2(1(0(2(1(1(3(x1)))))))))) 4(1(5(4(3(0(4(x1))))))) -> 0(1(0(2(3(2(1(5(2(4(x1)))))))))) 4(3(3(0(3(0(1(x1))))))) -> 5(2(5(5(0(2(3(0(3(5(x1)))))))))) 4(3(3(5(3(1(0(x1))))))) -> 4(2(0(2(2(1(5(3(5(0(x1)))))))))) 4(4(0(3(3(1(2(x1))))))) -> 4(0(4(4(2(2(3(4(2(2(x1)))))))))) 4(4(1(3(3(5(1(x1))))))) -> 2(2(4(4(3(2(1(5(3(3(x1)))))))))) 4(4(5(1(4(1(1(x1))))))) -> 0(5(2(3(4(5(3(0(5(4(x1)))))))))) 4(5(0(1(1(2(5(x1))))))) -> 2(1(2(2(2(0(2(3(5(5(x1)))))))))) 4(5(3(4(1(1(1(x1))))))) -> 0(4(0(0(5(2(3(5(4(1(x1)))))))))) 5(1(1(3(1(1(0(x1))))))) -> 4(5(2(2(2(0(5(4(1(0(x1)))))))))) 5(1(3(4(1(2(4(x1))))))) -> 5(2(0(5(0(0(5(5(4(3(x1)))))))))) 5(3(1(1(2(0(5(x1))))))) -> 3(2(3(2(4(4(0(5(0(5(x1)))))))))) 5(3(5(4(3(3(1(x1))))))) -> 5(3(5(4(4(4(3(5(2(3(x1)))))))))) 5(4(2(0(5(3(1(x1))))))) -> 5(2(1(0(0(2(2(4(1(1(x1)))))))))) 5(5(1(1(2(0(0(x1))))))) -> 0(0(2(3(5(4(0(5(5(0(x1)))))))))) S is empty. Rewrite Strategy: INNERMOST ---------------------------------------- (1) DerivationalComplexityToRuntimeComplexityProof (BOTH BOUNDS(ID, ID)) The following rules have been added to S to convert the given derivational complexity problem to a runtime complexity problem: encArg(cons_0(x_1)) -> 0(encArg(x_1)) encArg(cons_1(x_1)) -> 1(encArg(x_1)) encArg(cons_2(x_1)) -> 2(encArg(x_1)) encArg(cons_3(x_1)) -> 3(encArg(x_1)) encArg(cons_4(x_1)) -> 4(encArg(x_1)) encArg(cons_5(x_1)) -> 5(encArg(x_1)) encode_0(x_1) -> 0(encArg(x_1)) encode_1(x_1) -> 1(encArg(x_1)) encode_2(x_1) -> 2(encArg(x_1)) encode_3(x_1) -> 3(encArg(x_1)) encode_4(x_1) -> 4(encArg(x_1)) encode_5(x_1) -> 5(encArg(x_1)) ---------------------------------------- (2) Obligation: The Runtime Complexity (innermost) of the given CpxRelTRS could be proven to be BOUNDS(1, n^1). The TRS R consists of the following rules: 0(0(1(1(0(x1))))) -> 0(2(3(2(3(4(4(0(5(0(x1)))))))))) 0(0(3(3(4(x1))))) -> 5(2(3(5(2(3(0(2(1(3(x1)))))))))) 0(0(3(3(1(3(x1)))))) -> 4(5(2(3(5(5(2(2(0(1(x1)))))))))) 0(0(5(3(1(4(x1)))))) -> 4(2(0(2(3(0(2(1(0(3(x1)))))))))) 0(3(3(4(1(0(x1)))))) -> 0(2(5(0(0(2(2(2(3(0(x1)))))))))) 1(1(2(3(3(1(x1)))))) -> 3(0(5(1(5(2(2(2(3(3(x1)))))))))) 1(3(2(4(4(2(x1)))))) -> 1(0(5(2(3(4(0(2(3(5(x1)))))))))) 1(4(3(3(1(1(x1)))))) -> 2(4(0(4(4(1(3(4(1(1(x1)))))))))) 1(5(1(2(0(4(x1)))))) -> 1(5(5(2(2(2(1(4(0(4(x1)))))))))) 2(0(0(0(3(1(x1)))))) -> 2(1(4(0(2(4(4(2(1(3(x1)))))))))) 2(4(3(2(0(3(x1)))))) -> 2(2(4(4(2(1(3(5(0(3(x1)))))))))) 3(1(5(5(1(1(x1)))))) -> 2(5(2(3(5(2(1(4(3(4(x1)))))))))) 4(0(1(1(1(0(x1)))))) -> 0(5(5(2(3(1(2(5(2(2(x1)))))))))) 4(3(0(3(3(1(x1)))))) -> 4(4(2(2(1(2(2(3(2(1(x1)))))))))) 4(5(0(1(1(1(x1)))))) -> 2(0(2(4(5(2(3(0(2(1(x1)))))))))) 5(1(4(2(4(3(x1)))))) -> 0(5(2(3(0(5(0(2(1(3(x1)))))))))) 0(0(0(1(4(1(1(x1))))))) -> 0(0(1(3(2(0(2(3(0(4(x1)))))))))) 0(0(1(1(5(1(0(x1))))))) -> 4(4(5(2(3(0(1(4(3(0(x1)))))))))) 0(1(1(5(1(4(0(x1))))))) -> 0(2(1(5(2(2(5(4(3(0(x1)))))))))) 0(4(3(3(1(5(4(x1))))))) -> 0(5(0(4(5(4(0(2(1(3(x1)))))))))) 0(5(3(1(1(2(5(x1))))))) -> 2(4(5(4(0(2(4(0(5(0(x1)))))))))) 1(0(3(1(3(1(2(x1))))))) -> 2(2(4(1(2(3(5(4(2(2(x1)))))))))) 1(0(5(3(2(5(1(x1))))))) -> 2(4(4(2(1(3(5(3(5(3(x1)))))))))) 1(3(1(4(5(3(5(x1))))))) -> 2(1(5(2(2(3(2(3(5(5(x1)))))))))) 1(3(3(3(1(1(3(x1))))))) -> 2(1(4(4(4(3(4(4(2(1(x1)))))))))) 1(3(4(1(2(4(2(x1))))))) -> 1(3(5(0(5(2(3(5(4(2(x1)))))))))) 1(5(1(1(4(2(5(x1))))))) -> 1(1(4(2(2(3(0(2(2(5(x1)))))))))) 2(0(3(2(4(5(0(x1))))))) -> 2(5(2(5(5(5(2(3(5(0(x1)))))))))) 2(0(5(0(3(3(2(x1))))))) -> 3(0(1(2(2(3(2(3(5(2(x1)))))))))) 2(4(1(0(4(3(1(x1))))))) -> 2(2(2(2(1(4(3(2(0(1(x1)))))))))) 2(4(3(1(5(1(2(x1))))))) -> 1(4(2(2(1(1(2(3(2(2(x1)))))))))) 2(5(1(1(3(1(4(x1))))))) -> 3(0(1(4(4(5(2(2(2(1(x1)))))))))) 3(1(1(1(2(3(1(x1))))))) -> 3(0(2(2(5(3(0(2(2(3(x1)))))))))) 4(0(0(1(4(3(1(x1))))))) -> 4(0(2(2(2(1(5(0(3(4(x1)))))))))) 4(0(4(3(3(3(1(x1))))))) -> 2(5(5(2(4(4(4(2(4(1(x1)))))))))) 4(1(0(3(3(1(0(x1))))))) -> 2(0(5(4(3(2(1(2(1(0(x1)))))))))) 4(1(5(2(0(1(3(x1))))))) -> 0(5(0(2(1(0(2(1(1(3(x1)))))))))) 4(1(5(4(3(0(4(x1))))))) -> 0(1(0(2(3(2(1(5(2(4(x1)))))))))) 4(3(3(0(3(0(1(x1))))))) -> 5(2(5(5(0(2(3(0(3(5(x1)))))))))) 4(3(3(5(3(1(0(x1))))))) -> 4(2(0(2(2(1(5(3(5(0(x1)))))))))) 4(4(0(3(3(1(2(x1))))))) -> 4(0(4(4(2(2(3(4(2(2(x1)))))))))) 4(4(1(3(3(5(1(x1))))))) -> 2(2(4(4(3(2(1(5(3(3(x1)))))))))) 4(4(5(1(4(1(1(x1))))))) -> 0(5(2(3(4(5(3(0(5(4(x1)))))))))) 4(5(0(1(1(2(5(x1))))))) -> 2(1(2(2(2(0(2(3(5(5(x1)))))))))) 4(5(3(4(1(1(1(x1))))))) -> 0(4(0(0(5(2(3(5(4(1(x1)))))))))) 5(1(1(3(1(1(0(x1))))))) -> 4(5(2(2(2(0(5(4(1(0(x1)))))))))) 5(1(3(4(1(2(4(x1))))))) -> 5(2(0(5(0(0(5(5(4(3(x1)))))))))) 5(3(1(1(2(0(5(x1))))))) -> 3(2(3(2(4(4(0(5(0(5(x1)))))))))) 5(3(5(4(3(3(1(x1))))))) -> 5(3(5(4(4(4(3(5(2(3(x1)))))))))) 5(4(2(0(5(3(1(x1))))))) -> 5(2(1(0(0(2(2(4(1(1(x1)))))))))) 5(5(1(1(2(0(0(x1))))))) -> 0(0(2(3(5(4(0(5(5(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)) encArg(cons_2(x_1)) -> 2(encArg(x_1)) encArg(cons_3(x_1)) -> 3(encArg(x_1)) encArg(cons_4(x_1)) -> 4(encArg(x_1)) encArg(cons_5(x_1)) -> 5(encArg(x_1)) encode_0(x_1) -> 0(encArg(x_1)) encode_1(x_1) -> 1(encArg(x_1)) encode_2(x_1) -> 2(encArg(x_1)) encode_3(x_1) -> 3(encArg(x_1)) encode_4(x_1) -> 4(encArg(x_1)) encode_5(x_1) -> 5(encArg(x_1)) Rewrite Strategy: INNERMOST ---------------------------------------- (3) SInnermostTerminationProof (BOTH CONCRETE BOUNDS(ID, ID)) proved innermost termination of relative rules ---------------------------------------- (4) Obligation: The Runtime Complexity (innermost) of the given CpxRelTRS could be proven to be BOUNDS(1, n^1). The TRS R consists of the following rules: 0(0(1(1(0(x1))))) -> 0(2(3(2(3(4(4(0(5(0(x1)))))))))) 0(0(3(3(4(x1))))) -> 5(2(3(5(2(3(0(2(1(3(x1)))))))))) 0(0(3(3(1(3(x1)))))) -> 4(5(2(3(5(5(2(2(0(1(x1)))))))))) 0(0(5(3(1(4(x1)))))) -> 4(2(0(2(3(0(2(1(0(3(x1)))))))))) 0(3(3(4(1(0(x1)))))) -> 0(2(5(0(0(2(2(2(3(0(x1)))))))))) 1(1(2(3(3(1(x1)))))) -> 3(0(5(1(5(2(2(2(3(3(x1)))))))))) 1(3(2(4(4(2(x1)))))) -> 1(0(5(2(3(4(0(2(3(5(x1)))))))))) 1(4(3(3(1(1(x1)))))) -> 2(4(0(4(4(1(3(4(1(1(x1)))))))))) 1(5(1(2(0(4(x1)))))) -> 1(5(5(2(2(2(1(4(0(4(x1)))))))))) 2(0(0(0(3(1(x1)))))) -> 2(1(4(0(2(4(4(2(1(3(x1)))))))))) 2(4(3(2(0(3(x1)))))) -> 2(2(4(4(2(1(3(5(0(3(x1)))))))))) 3(1(5(5(1(1(x1)))))) -> 2(5(2(3(5(2(1(4(3(4(x1)))))))))) 4(0(1(1(1(0(x1)))))) -> 0(5(5(2(3(1(2(5(2(2(x1)))))))))) 4(3(0(3(3(1(x1)))))) -> 4(4(2(2(1(2(2(3(2(1(x1)))))))))) 4(5(0(1(1(1(x1)))))) -> 2(0(2(4(5(2(3(0(2(1(x1)))))))))) 5(1(4(2(4(3(x1)))))) -> 0(5(2(3(0(5(0(2(1(3(x1)))))))))) 0(0(0(1(4(1(1(x1))))))) -> 0(0(1(3(2(0(2(3(0(4(x1)))))))))) 0(0(1(1(5(1(0(x1))))))) -> 4(4(5(2(3(0(1(4(3(0(x1)))))))))) 0(1(1(5(1(4(0(x1))))))) -> 0(2(1(5(2(2(5(4(3(0(x1)))))))))) 0(4(3(3(1(5(4(x1))))))) -> 0(5(0(4(5(4(0(2(1(3(x1)))))))))) 0(5(3(1(1(2(5(x1))))))) -> 2(4(5(4(0(2(4(0(5(0(x1)))))))))) 1(0(3(1(3(1(2(x1))))))) -> 2(2(4(1(2(3(5(4(2(2(x1)))))))))) 1(0(5(3(2(5(1(x1))))))) -> 2(4(4(2(1(3(5(3(5(3(x1)))))))))) 1(3(1(4(5(3(5(x1))))))) -> 2(1(5(2(2(3(2(3(5(5(x1)))))))))) 1(3(3(3(1(1(3(x1))))))) -> 2(1(4(4(4(3(4(4(2(1(x1)))))))))) 1(3(4(1(2(4(2(x1))))))) -> 1(3(5(0(5(2(3(5(4(2(x1)))))))))) 1(5(1(1(4(2(5(x1))))))) -> 1(1(4(2(2(3(0(2(2(5(x1)))))))))) 2(0(3(2(4(5(0(x1))))))) -> 2(5(2(5(5(5(2(3(5(0(x1)))))))))) 2(0(5(0(3(3(2(x1))))))) -> 3(0(1(2(2(3(2(3(5(2(x1)))))))))) 2(4(1(0(4(3(1(x1))))))) -> 2(2(2(2(1(4(3(2(0(1(x1)))))))))) 2(4(3(1(5(1(2(x1))))))) -> 1(4(2(2(1(1(2(3(2(2(x1)))))))))) 2(5(1(1(3(1(4(x1))))))) -> 3(0(1(4(4(5(2(2(2(1(x1)))))))))) 3(1(1(1(2(3(1(x1))))))) -> 3(0(2(2(5(3(0(2(2(3(x1)))))))))) 4(0(0(1(4(3(1(x1))))))) -> 4(0(2(2(2(1(5(0(3(4(x1)))))))))) 4(0(4(3(3(3(1(x1))))))) -> 2(5(5(2(4(4(4(2(4(1(x1)))))))))) 4(1(0(3(3(1(0(x1))))))) -> 2(0(5(4(3(2(1(2(1(0(x1)))))))))) 4(1(5(2(0(1(3(x1))))))) -> 0(5(0(2(1(0(2(1(1(3(x1)))))))))) 4(1(5(4(3(0(4(x1))))))) -> 0(1(0(2(3(2(1(5(2(4(x1)))))))))) 4(3(3(0(3(0(1(x1))))))) -> 5(2(5(5(0(2(3(0(3(5(x1)))))))))) 4(3(3(5(3(1(0(x1))))))) -> 4(2(0(2(2(1(5(3(5(0(x1)))))))))) 4(4(0(3(3(1(2(x1))))))) -> 4(0(4(4(2(2(3(4(2(2(x1)))))))))) 4(4(1(3(3(5(1(x1))))))) -> 2(2(4(4(3(2(1(5(3(3(x1)))))))))) 4(4(5(1(4(1(1(x1))))))) -> 0(5(2(3(4(5(3(0(5(4(x1)))))))))) 4(5(0(1(1(2(5(x1))))))) -> 2(1(2(2(2(0(2(3(5(5(x1)))))))))) 4(5(3(4(1(1(1(x1))))))) -> 0(4(0(0(5(2(3(5(4(1(x1)))))))))) 5(1(1(3(1(1(0(x1))))))) -> 4(5(2(2(2(0(5(4(1(0(x1)))))))))) 5(1(3(4(1(2(4(x1))))))) -> 5(2(0(5(0(0(5(5(4(3(x1)))))))))) 5(3(1(1(2(0(5(x1))))))) -> 3(2(3(2(4(4(0(5(0(5(x1)))))))))) 5(3(5(4(3(3(1(x1))))))) -> 5(3(5(4(4(4(3(5(2(3(x1)))))))))) 5(4(2(0(5(3(1(x1))))))) -> 5(2(1(0(0(2(2(4(1(1(x1)))))))))) 5(5(1(1(2(0(0(x1))))))) -> 0(0(2(3(5(4(0(5(5(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)) encArg(cons_2(x_1)) -> 2(encArg(x_1)) encArg(cons_3(x_1)) -> 3(encArg(x_1)) encArg(cons_4(x_1)) -> 4(encArg(x_1)) encArg(cons_5(x_1)) -> 5(encArg(x_1)) encode_0(x_1) -> 0(encArg(x_1)) encode_1(x_1) -> 1(encArg(x_1)) encode_2(x_1) -> 2(encArg(x_1)) encode_3(x_1) -> 3(encArg(x_1)) encode_4(x_1) -> 4(encArg(x_1)) encode_5(x_1) -> 5(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: 0(0(1(1(0(x1))))) -> 0(2(3(2(3(4(4(0(5(0(x1)))))))))) 0(0(3(3(4(x1))))) -> 5(2(3(5(2(3(0(2(1(3(x1)))))))))) 0(0(3(3(1(3(x1)))))) -> 4(5(2(3(5(5(2(2(0(1(x1)))))))))) 0(0(5(3(1(4(x1)))))) -> 4(2(0(2(3(0(2(1(0(3(x1)))))))))) 0(3(3(4(1(0(x1)))))) -> 0(2(5(0(0(2(2(2(3(0(x1)))))))))) 1(1(2(3(3(1(x1)))))) -> 3(0(5(1(5(2(2(2(3(3(x1)))))))))) 1(3(2(4(4(2(x1)))))) -> 1(0(5(2(3(4(0(2(3(5(x1)))))))))) 1(4(3(3(1(1(x1)))))) -> 2(4(0(4(4(1(3(4(1(1(x1)))))))))) 1(5(1(2(0(4(x1)))))) -> 1(5(5(2(2(2(1(4(0(4(x1)))))))))) 2(0(0(0(3(1(x1)))))) -> 2(1(4(0(2(4(4(2(1(3(x1)))))))))) 2(4(3(2(0(3(x1)))))) -> 2(2(4(4(2(1(3(5(0(3(x1)))))))))) 3(1(5(5(1(1(x1)))))) -> 2(5(2(3(5(2(1(4(3(4(x1)))))))))) 4(0(1(1(1(0(x1)))))) -> 0(5(5(2(3(1(2(5(2(2(x1)))))))))) 4(3(0(3(3(1(x1)))))) -> 4(4(2(2(1(2(2(3(2(1(x1)))))))))) 4(5(0(1(1(1(x1)))))) -> 2(0(2(4(5(2(3(0(2(1(x1)))))))))) 5(1(4(2(4(3(x1)))))) -> 0(5(2(3(0(5(0(2(1(3(x1)))))))))) 0(0(0(1(4(1(1(x1))))))) -> 0(0(1(3(2(0(2(3(0(4(x1)))))))))) 0(0(1(1(5(1(0(x1))))))) -> 4(4(5(2(3(0(1(4(3(0(x1)))))))))) 0(1(1(5(1(4(0(x1))))))) -> 0(2(1(5(2(2(5(4(3(0(x1)))))))))) 0(4(3(3(1(5(4(x1))))))) -> 0(5(0(4(5(4(0(2(1(3(x1)))))))))) 0(5(3(1(1(2(5(x1))))))) -> 2(4(5(4(0(2(4(0(5(0(x1)))))))))) 1(0(3(1(3(1(2(x1))))))) -> 2(2(4(1(2(3(5(4(2(2(x1)))))))))) 1(0(5(3(2(5(1(x1))))))) -> 2(4(4(2(1(3(5(3(5(3(x1)))))))))) 1(3(1(4(5(3(5(x1))))))) -> 2(1(5(2(2(3(2(3(5(5(x1)))))))))) 1(3(3(3(1(1(3(x1))))))) -> 2(1(4(4(4(3(4(4(2(1(x1)))))))))) 1(3(4(1(2(4(2(x1))))))) -> 1(3(5(0(5(2(3(5(4(2(x1)))))))))) 1(5(1(1(4(2(5(x1))))))) -> 1(1(4(2(2(3(0(2(2(5(x1)))))))))) 2(0(3(2(4(5(0(x1))))))) -> 2(5(2(5(5(5(2(3(5(0(x1)))))))))) 2(0(5(0(3(3(2(x1))))))) -> 3(0(1(2(2(3(2(3(5(2(x1)))))))))) 2(4(1(0(4(3(1(x1))))))) -> 2(2(2(2(1(4(3(2(0(1(x1)))))))))) 2(4(3(1(5(1(2(x1))))))) -> 1(4(2(2(1(1(2(3(2(2(x1)))))))))) 2(5(1(1(3(1(4(x1))))))) -> 3(0(1(4(4(5(2(2(2(1(x1)))))))))) 3(1(1(1(2(3(1(x1))))))) -> 3(0(2(2(5(3(0(2(2(3(x1)))))))))) 4(0(0(1(4(3(1(x1))))))) -> 4(0(2(2(2(1(5(0(3(4(x1)))))))))) 4(0(4(3(3(3(1(x1))))))) -> 2(5(5(2(4(4(4(2(4(1(x1)))))))))) 4(1(0(3(3(1(0(x1))))))) -> 2(0(5(4(3(2(1(2(1(0(x1)))))))))) 4(1(5(2(0(1(3(x1))))))) -> 0(5(0(2(1(0(2(1(1(3(x1)))))))))) 4(1(5(4(3(0(4(x1))))))) -> 0(1(0(2(3(2(1(5(2(4(x1)))))))))) 4(3(3(0(3(0(1(x1))))))) -> 5(2(5(5(0(2(3(0(3(5(x1)))))))))) 4(3(3(5(3(1(0(x1))))))) -> 4(2(0(2(2(1(5(3(5(0(x1)))))))))) 4(4(0(3(3(1(2(x1))))))) -> 4(0(4(4(2(2(3(4(2(2(x1)))))))))) 4(4(1(3(3(5(1(x1))))))) -> 2(2(4(4(3(2(1(5(3(3(x1)))))))))) 4(4(5(1(4(1(1(x1))))))) -> 0(5(2(3(4(5(3(0(5(4(x1)))))))))) 4(5(0(1(1(2(5(x1))))))) -> 2(1(2(2(2(0(2(3(5(5(x1)))))))))) 4(5(3(4(1(1(1(x1))))))) -> 0(4(0(0(5(2(3(5(4(1(x1)))))))))) 5(1(1(3(1(1(0(x1))))))) -> 4(5(2(2(2(0(5(4(1(0(x1)))))))))) 5(1(3(4(1(2(4(x1))))))) -> 5(2(0(5(0(0(5(5(4(3(x1)))))))))) 5(3(1(1(2(0(5(x1))))))) -> 3(2(3(2(4(4(0(5(0(5(x1)))))))))) 5(3(5(4(3(3(1(x1))))))) -> 5(3(5(4(4(4(3(5(2(3(x1)))))))))) 5(4(2(0(5(3(1(x1))))))) -> 5(2(1(0(0(2(2(4(1(1(x1)))))))))) 5(5(1(1(2(0(0(x1))))))) -> 0(0(2(3(5(4(0(5(5(0(x1)))))))))) encArg(cons_0(x_1)) -> 0(encArg(x_1)) encArg(cons_1(x_1)) -> 1(encArg(x_1)) encArg(cons_2(x_1)) -> 2(encArg(x_1)) encArg(cons_3(x_1)) -> 3(encArg(x_1)) encArg(cons_4(x_1)) -> 4(encArg(x_1)) encArg(cons_5(x_1)) -> 5(encArg(x_1)) encode_0(x_1) -> 0(encArg(x_1)) encode_1(x_1) -> 1(encArg(x_1)) encode_2(x_1) -> 2(encArg(x_1)) encode_3(x_1) -> 3(encArg(x_1)) encode_4(x_1) -> 4(encArg(x_1)) encode_5(x_1) -> 5(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. "[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] {(135,136,[0_1|0, 1_1|0, 2_1|0, 3_1|0, 4_1|0, 5_1|0, encArg_1|0, encode_0_1|0, encode_1_1|0, encode_2_1|0, encode_3_1|0, encode_4_1|0, encode_5_1|0]), (135,137,[0_1|1, 1_1|1, 2_1|1, 3_1|1, 4_1|1, 5_1|1]), (135,138,[0_1|2]), (135,147,[4_1|2]), (135,156,[5_1|2]), (135,165,[4_1|2]), (135,174,[4_1|2]), (135,183,[0_1|2]), (135,192,[0_1|2]), (135,201,[0_1|2]), (135,210,[0_1|2]), (135,219,[2_1|2]), (135,228,[3_1|2]), (135,237,[1_1|2]), (135,246,[2_1|2]), (135,255,[2_1|2]), (135,264,[1_1|2]), (135,273,[2_1|2]), (135,282,[1_1|2]), (135,291,[1_1|2]), (135,300,[2_1|2]), (135,309,[2_1|2]), (135,318,[2_1|2]), (135,327,[2_1|2]), (135,336,[3_1|2]), (135,345,[2_1|2]), (135,354,[1_1|2]), (135,363,[2_1|2]), (135,372,[3_1|2]), (135,381,[2_1|2]), (135,390,[3_1|2]), (135,399,[0_1|2]), (135,408,[4_1|2]), (135,417,[2_1|2]), (135,426,[4_1|2]), (135,435,[5_1|2]), (135,444,[4_1|2]), (135,453,[2_1|2]), (135,462,[2_1|2]), (135,471,[0_1|2]), (135,480,[2_1|2]), (135,489,[0_1|2]), (135,498,[0_1|2]), (135,507,[4_1|2]), (135,516,[2_1|2]), (135,525,[0_1|2]), (135,534,[0_1|2]), (135,543,[4_1|2]), (135,552,[5_1|2]), (135,561,[3_1|2]), (135,570,[5_1|2]), (135,579,[5_1|2]), (135,588,[0_1|2]), (136,136,[cons_0_1|0, cons_1_1|0, cons_2_1|0, cons_3_1|0, cons_4_1|0, cons_5_1|0]), (137,136,[encArg_1|1]), (137,137,[0_1|1, 1_1|1, 2_1|1, 3_1|1, 4_1|1, 5_1|1]), (137,138,[0_1|2]), (137,147,[4_1|2]), (137,156,[5_1|2]), (137,165,[4_1|2]), (137,174,[4_1|2]), (137,183,[0_1|2]), (137,192,[0_1|2]), (137,201,[0_1|2]), (137,210,[0_1|2]), (137,219,[2_1|2]), (137,228,[3_1|2]), (137,237,[1_1|2]), (137,246,[2_1|2]), (137,255,[2_1|2]), (137,264,[1_1|2]), (137,273,[2_1|2]), (137,282,[1_1|2]), (137,291,[1_1|2]), (137,300,[2_1|2]), (137,309,[2_1|2]), (137,318,[2_1|2]), (137,327,[2_1|2]), (137,336,[3_1|2]), (137,345,[2_1|2]), (137,354,[1_1|2]), (137,363,[2_1|2]), (137,372,[3_1|2]), (137,381,[2_1|2]), (137,390,[3_1|2]), (137,399,[0_1|2]), (137,408,[4_1|2]), (137,417,[2_1|2]), (137,426,[4_1|2]), (137,435,[5_1|2]), (137,444,[4_1|2]), (137,453,[2_1|2]), (137,462,[2_1|2]), (137,471,[0_1|2]), (137,480,[2_1|2]), (137,489,[0_1|2]), (137,498,[0_1|2]), (137,507,[4_1|2]), (137,516,[2_1|2]), (137,525,[0_1|2]), (137,534,[0_1|2]), (137,543,[4_1|2]), (137,552,[5_1|2]), (137,561,[3_1|2]), (137,570,[5_1|2]), (137,579,[5_1|2]), (137,588,[0_1|2]), (138,139,[2_1|2]), (139,140,[3_1|2]), (140,141,[2_1|2]), (141,142,[3_1|2]), (142,143,[4_1|2]), (143,144,[4_1|2]), (144,145,[0_1|2]), (145,146,[5_1|2]), (146,137,[0_1|2]), (146,138,[0_1|2]), (146,183,[0_1|2]), (146,192,[0_1|2]), (146,201,[0_1|2]), (146,210,[0_1|2]), (146,399,[0_1|2]), (146,471,[0_1|2]), (146,489,[0_1|2]), (146,498,[0_1|2]), (146,525,[0_1|2]), (146,534,[0_1|2]), (146,588,[0_1|2]), (146,238,[0_1|2]), (146,147,[4_1|2]), (146,156,[5_1|2]), (146,165,[4_1|2]), (146,174,[4_1|2]), (146,219,[2_1|2]), (147,148,[4_1|2]), (148,149,[5_1|2]), (149,150,[2_1|2]), (150,151,[3_1|2]), (151,152,[0_1|2]), (152,153,[1_1|2]), (153,154,[4_1|2]), (153,426,[4_1|2]), (154,155,[3_1|2]), (155,137,[0_1|2]), (155,138,[0_1|2]), (155,183,[0_1|2]), (155,192,[0_1|2]), (155,201,[0_1|2]), (155,210,[0_1|2]), (155,399,[0_1|2]), (155,471,[0_1|2]), (155,489,[0_1|2]), (155,498,[0_1|2]), (155,525,[0_1|2]), (155,534,[0_1|2]), (155,588,[0_1|2]), (155,238,[0_1|2]), (155,147,[4_1|2]), (155,156,[5_1|2]), (155,165,[4_1|2]), (155,174,[4_1|2]), (155,219,[2_1|2]), (156,157,[2_1|2]), (157,158,[3_1|2]), (158,159,[5_1|2]), (159,160,[2_1|2]), (160,161,[3_1|2]), (161,162,[0_1|2]), (162,163,[2_1|2]), (163,164,[1_1|2]), (163,237,[1_1|2]), (163,246,[2_1|2]), (163,255,[2_1|2]), (163,264,[1_1|2]), (163,597,[1_1|3]), (164,137,[3_1|2]), (164,147,[3_1|2]), (164,165,[3_1|2]), (164,174,[3_1|2]), (164,408,[3_1|2]), (164,426,[3_1|2]), (164,444,[3_1|2]), (164,507,[3_1|2]), (164,543,[3_1|2]), (164,381,[2_1|2]), (164,390,[3_1|2]), (165,166,[5_1|2]), (166,167,[2_1|2]), (167,168,[3_1|2]), (168,169,[5_1|2]), (169,170,[5_1|2]), (170,171,[2_1|2]), (171,172,[2_1|2]), (172,173,[0_1|2]), (172,201,[0_1|2]), (173,137,[1_1|2]), (173,228,[1_1|2, 3_1|2]), (173,336,[1_1|2]), (173,372,[1_1|2]), (173,390,[1_1|2]), (173,561,[1_1|2]), (173,265,[1_1|2]), (173,237,[1_1|2]), (173,246,[2_1|2]), (173,255,[2_1|2]), (173,264,[1_1|2]), (173,273,[2_1|2]), (173,282,[1_1|2]), (173,291,[1_1|2]), (173,300,[2_1|2]), (173,309,[2_1|2]), (174,175,[2_1|2]), (175,176,[0_1|2]), (176,177,[2_1|2]), (177,178,[3_1|2]), (178,179,[0_1|2]), (179,180,[2_1|2]), (180,181,[1_1|2]), (180,300,[2_1|2]), (181,182,[0_1|2]), (181,192,[0_1|2]), (182,137,[3_1|2]), (182,147,[3_1|2]), (182,165,[3_1|2]), (182,174,[3_1|2]), (182,408,[3_1|2]), (182,426,[3_1|2]), (182,444,[3_1|2]), (182,507,[3_1|2]), (182,543,[3_1|2]), (182,355,[3_1|2]), (182,381,[2_1|2]), (182,390,[3_1|2]), (183,184,[0_1|2]), (184,185,[1_1|2]), (185,186,[3_1|2]), (186,187,[2_1|2]), (187,188,[0_1|2]), (188,189,[2_1|2]), (189,190,[3_1|2]), (190,191,[0_1|2]), (190,210,[0_1|2]), (191,137,[4_1|2]), (191,237,[4_1|2]), (191,264,[4_1|2]), (191,282,[4_1|2]), (191,291,[4_1|2]), (191,354,[4_1|2]), (191,292,[4_1|2]), (191,399,[0_1|2]), (191,408,[4_1|2]), (191,417,[2_1|2]), (191,426,[4_1|2]), (191,435,[5_1|2]), (191,444,[4_1|2]), (191,453,[2_1|2]), (191,462,[2_1|2]), (191,471,[0_1|2]), (191,480,[2_1|2]), (191,489,[0_1|2]), (191,498,[0_1|2]), (191,507,[4_1|2]), (191,516,[2_1|2]), (191,525,[0_1|2]), (192,193,[2_1|2]), (193,194,[5_1|2]), (194,195,[0_1|2]), (195,196,[0_1|2]), (196,197,[2_1|2]), (197,198,[2_1|2]), (198,199,[2_1|2]), (199,200,[3_1|2]), (200,137,[0_1|2]), (200,138,[0_1|2]), (200,183,[0_1|2]), (200,192,[0_1|2]), (200,201,[0_1|2]), (200,210,[0_1|2]), (200,399,[0_1|2]), (200,471,[0_1|2]), (200,489,[0_1|2]), (200,498,[0_1|2]), (200,525,[0_1|2]), (200,534,[0_1|2]), (200,588,[0_1|2]), (200,238,[0_1|2]), (200,147,[4_1|2]), (200,156,[5_1|2]), (200,165,[4_1|2]), (200,174,[4_1|2]), (200,219,[2_1|2]), (201,202,[2_1|2]), (202,203,[1_1|2]), (203,204,[5_1|2]), (204,205,[2_1|2]), (205,206,[2_1|2]), (206,207,[5_1|2]), (207,208,[4_1|2]), (207,426,[4_1|2]), (208,209,[3_1|2]), (209,137,[0_1|2]), (209,138,[0_1|2]), (209,183,[0_1|2]), (209,192,[0_1|2]), (209,201,[0_1|2]), (209,210,[0_1|2]), (209,399,[0_1|2]), (209,471,[0_1|2]), (209,489,[0_1|2]), (209,498,[0_1|2]), (209,525,[0_1|2]), (209,534,[0_1|2]), (209,588,[0_1|2]), (209,409,[0_1|2]), (209,508,[0_1|2]), (209,147,[4_1|2]), (209,156,[5_1|2]), (209,165,[4_1|2]), (209,174,[4_1|2]), (209,219,[2_1|2]), (210,211,[5_1|2]), (211,212,[0_1|2]), (212,213,[4_1|2]), (213,214,[5_1|2]), (214,215,[4_1|2]), (215,216,[0_1|2]), (216,217,[2_1|2]), (217,218,[1_1|2]), (217,237,[1_1|2]), (217,246,[2_1|2]), (217,255,[2_1|2]), (217,264,[1_1|2]), (217,597,[1_1|3]), (218,137,[3_1|2]), (218,147,[3_1|2]), (218,165,[3_1|2]), (218,174,[3_1|2]), (218,408,[3_1|2]), (218,426,[3_1|2]), (218,444,[3_1|2]), (218,507,[3_1|2]), (218,543,[3_1|2]), (218,381,[2_1|2]), (218,390,[3_1|2]), (219,220,[4_1|2]), (220,221,[5_1|2]), (221,222,[4_1|2]), (222,223,[0_1|2]), (223,224,[2_1|2]), (224,225,[4_1|2]), (225,226,[0_1|2]), (226,227,[5_1|2]), (227,137,[0_1|2]), (227,156,[0_1|2, 5_1|2]), (227,435,[0_1|2]), (227,552,[0_1|2]), (227,570,[0_1|2]), (227,579,[0_1|2]), (227,328,[0_1|2]), (227,382,[0_1|2]), (227,418,[0_1|2]), (227,138,[0_1|2]), (227,147,[4_1|2]), (227,165,[4_1|2]), (227,174,[4_1|2]), (227,183,[0_1|2]), (227,192,[0_1|2]), (227,201,[0_1|2]), (227,210,[0_1|2]), (227,219,[2_1|2]), (228,229,[0_1|2]), (229,230,[5_1|2]), (230,231,[1_1|2]), (231,232,[5_1|2]), (232,233,[2_1|2]), (233,234,[2_1|2]), (234,235,[2_1|2]), (235,236,[3_1|2]), (236,137,[3_1|2]), (236,237,[3_1|2]), (236,264,[3_1|2]), (236,282,[3_1|2]), (236,291,[3_1|2]), (236,354,[3_1|2]), (236,381,[2_1|2]), (236,390,[3_1|2]), (237,238,[0_1|2]), (238,239,[5_1|2]), (239,240,[2_1|2]), (240,241,[3_1|2]), (241,242,[4_1|2]), (242,243,[0_1|2]), (243,244,[2_1|2]), (244,245,[3_1|2]), (245,137,[5_1|2]), (245,219,[5_1|2]), (245,246,[5_1|2]), (245,255,[5_1|2]), (245,273,[5_1|2]), (245,300,[5_1|2]), (245,309,[5_1|2]), (245,318,[5_1|2]), (245,327,[5_1|2]), (245,345,[5_1|2]), (245,363,[5_1|2]), (245,381,[5_1|2]), (245,417,[5_1|2]), (245,453,[5_1|2]), (245,462,[5_1|2]), (245,480,[5_1|2]), (245,516,[5_1|2]), (245,175,[5_1|2]), (245,445,[5_1|2]), (245,428,[5_1|2]), (245,312,[5_1|2]), (245,534,[0_1|2]), (245,543,[4_1|2]), (245,552,[5_1|2]), (245,561,[3_1|2]), (245,570,[5_1|2]), (245,579,[5_1|2]), (245,588,[0_1|2]), (246,247,[1_1|2]), (247,248,[5_1|2]), (248,249,[2_1|2]), (249,250,[2_1|2]), (250,251,[3_1|2]), (251,252,[2_1|2]), (252,253,[3_1|2]), (253,254,[5_1|2]), (253,588,[0_1|2]), (254,137,[5_1|2]), (254,156,[5_1|2]), (254,435,[5_1|2]), (254,552,[5_1|2]), (254,570,[5_1|2]), (254,579,[5_1|2]), (254,572,[5_1|2]), (254,534,[0_1|2]), (254,543,[4_1|2]), (254,561,[3_1|2]), (254,588,[0_1|2]), (255,256,[1_1|2]), (256,257,[4_1|2]), (257,258,[4_1|2]), (258,259,[4_1|2]), (259,260,[3_1|2]), (260,261,[4_1|2]), (261,262,[4_1|2]), (262,263,[2_1|2]), (263,137,[1_1|2]), (263,228,[1_1|2, 3_1|2]), (263,336,[1_1|2]), (263,372,[1_1|2]), (263,390,[1_1|2]), (263,561,[1_1|2]), (263,265,[1_1|2]), (263,237,[1_1|2]), (263,246,[2_1|2]), (263,255,[2_1|2]), (263,264,[1_1|2]), (263,273,[2_1|2]), (263,282,[1_1|2]), (263,291,[1_1|2]), (263,300,[2_1|2]), (263,309,[2_1|2]), (264,265,[3_1|2]), (265,266,[5_1|2]), (266,267,[0_1|2]), (267,268,[5_1|2]), (268,269,[2_1|2]), (269,270,[3_1|2]), (270,271,[5_1|2]), (270,579,[5_1|2]), (271,272,[4_1|2]), (272,137,[2_1|2]), (272,219,[2_1|2]), (272,246,[2_1|2]), (272,255,[2_1|2]), (272,273,[2_1|2]), (272,300,[2_1|2]), (272,309,[2_1|2]), (272,318,[2_1|2]), (272,327,[2_1|2]), (272,345,[2_1|2]), (272,363,[2_1|2]), (272,381,[2_1|2]), 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(539,540,[0_1|2]), (540,541,[2_1|2]), (541,542,[1_1|2]), (541,237,[1_1|2]), (541,246,[2_1|2]), (541,255,[2_1|2]), (541,264,[1_1|2]), (541,597,[1_1|3]), (542,137,[3_1|2]), (542,228,[3_1|2]), (542,336,[3_1|2]), (542,372,[3_1|2]), (542,390,[3_1|2]), (542,561,[3_1|2]), (542,381,[2_1|2]), (543,544,[5_1|2]), (544,545,[2_1|2]), (545,546,[2_1|2]), (546,547,[2_1|2]), (547,548,[0_1|2]), (548,549,[5_1|2]), (549,550,[4_1|2]), (549,480,[2_1|2]), (550,551,[1_1|2]), (550,300,[2_1|2]), (550,309,[2_1|2]), (551,137,[0_1|2]), (551,138,[0_1|2]), (551,183,[0_1|2]), (551,192,[0_1|2]), (551,201,[0_1|2]), (551,210,[0_1|2]), (551,399,[0_1|2]), (551,471,[0_1|2]), (551,489,[0_1|2]), (551,498,[0_1|2]), (551,525,[0_1|2]), (551,534,[0_1|2]), (551,588,[0_1|2]), (551,238,[0_1|2]), (551,147,[4_1|2]), (551,156,[5_1|2]), (551,165,[4_1|2]), (551,174,[4_1|2]), (551,219,[2_1|2]), (552,553,[2_1|2]), (553,554,[0_1|2]), (554,555,[5_1|2]), (555,556,[0_1|2]), (556,557,[0_1|2]), (557,558,[5_1|2]), (558,559,[5_1|2]), (559,560,[4_1|2]), (559,426,[4_1|2]), (559,435,[5_1|2]), (559,444,[4_1|2]), (560,137,[3_1|2]), (560,147,[3_1|2]), (560,165,[3_1|2]), (560,174,[3_1|2]), (560,408,[3_1|2]), (560,426,[3_1|2]), (560,444,[3_1|2]), (560,507,[3_1|2]), (560,543,[3_1|2]), (560,220,[3_1|2]), (560,274,[3_1|2]), (560,310,[3_1|2]), (560,381,[2_1|2]), (560,390,[3_1|2]), (561,562,[2_1|2]), (562,563,[3_1|2]), (563,564,[2_1|2]), (564,565,[4_1|2]), (565,566,[4_1|2]), (566,567,[0_1|2]), (567,568,[5_1|2]), (568,569,[0_1|2]), (568,219,[2_1|2]), (569,137,[5_1|2]), (569,156,[5_1|2]), (569,435,[5_1|2]), (569,552,[5_1|2]), (569,570,[5_1|2]), (569,579,[5_1|2]), (569,211,[5_1|2]), (569,400,[5_1|2]), (569,490,[5_1|2]), (569,526,[5_1|2]), (569,535,[5_1|2]), (569,482,[5_1|2]), (569,534,[0_1|2]), (569,543,[4_1|2]), (569,561,[3_1|2]), (569,588,[0_1|2]), (570,571,[3_1|2]), (571,572,[5_1|2]), (572,573,[4_1|2]), (573,574,[4_1|2]), (574,575,[4_1|2]), (575,576,[3_1|2]), (576,577,[5_1|2]), (577,578,[2_1|2]), (578,137,[3_1|2]), (578,237,[3_1|2]), (578,264,[3_1|2]), (578,282,[3_1|2]), (578,291,[3_1|2]), (578,354,[3_1|2]), (578,381,[2_1|2]), (578,390,[3_1|2]), (579,580,[2_1|2]), (580,581,[1_1|2]), (581,582,[0_1|2]), (582,583,[0_1|2]), (583,584,[2_1|2]), (584,585,[2_1|2]), (585,586,[4_1|2]), (586,587,[1_1|2]), (586,228,[3_1|2]), (587,137,[1_1|2]), (587,237,[1_1|2]), (587,264,[1_1|2]), (587,282,[1_1|2]), (587,291,[1_1|2]), (587,354,[1_1|2]), (587,228,[3_1|2]), (587,246,[2_1|2]), (587,255,[2_1|2]), (587,273,[2_1|2]), (587,300,[2_1|2]), (587,309,[2_1|2]), (588,589,[0_1|2]), (589,590,[2_1|2]), (590,591,[3_1|2]), (591,592,[5_1|2]), (592,593,[4_1|2]), (593,594,[0_1|2]), (594,595,[5_1|2]), (595,596,[5_1|2]), (596,137,[0_1|2]), (596,138,[0_1|2]), (596,183,[0_1|2]), (596,192,[0_1|2]), (596,201,[0_1|2]), (596,210,[0_1|2]), (596,399,[0_1|2]), (596,471,[0_1|2]), (596,489,[0_1|2]), (596,498,[0_1|2]), (596,525,[0_1|2]), (596,534,[0_1|2]), (596,588,[0_1|2]), (596,184,[0_1|2]), (596,589,[0_1|2]), (596,147,[4_1|2]), (596,156,[5_1|2]), (596,165,[4_1|2]), (596,174,[4_1|2]), (596,219,[2_1|2]), (597,598,[0_1|3]), (598,599,[5_1|3]), (599,600,[2_1|3]), (600,601,[3_1|3]), (601,602,[4_1|3]), (602,603,[0_1|3]), (603,604,[2_1|3]), (604,605,[3_1|3]), (605,312,[5_1|3])}" ---------------------------------------- (8) BOUNDS(1, n^1)