/export/starexec/sandbox/solver/bin/starexec_run_rcdcRelativeAlsoLower /export/starexec/sandbox/benchmark/theBenchmark.xml /export/starexec/sandbox/output/output_files -------------------------------------------------------------------------------- WORST_CASE(?, O(n^1)) 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# AProVE Commit ID: 794c25de1cacf0d048858bcd21c9a779e1221865 marcel 20200619 unpublished dirty The Derivational Complexity (innermost) of the given DCpxTrs could be proven to be BOUNDS(1, n^1). (0) DCpxTrs (1) DerivationalComplexityToRuntimeComplexityProof [BOTH BOUNDS(ID, ID), 0 ms] (2) CpxRelTRS (3) SInnermostTerminationProof [BOTH CONCRETE BOUNDS(ID, ID), 114 ms] (4) CpxRelTRS (5) RelTrsToTrsProof [UPPER BOUND(ID), 0 ms] (6) CpxTRS (7) CpxTrsMatchBoundsProof [FINISHED, 210 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(1(2(3(x1)))) -> 0(0(2(2(0(1(0(5(5(4(x1)))))))))) 0(1(4(0(x1)))) -> 1(5(4(2(2(4(2(2(4(2(x1)))))))))) 1(2(5(2(x1)))) -> 1(3(4(4(1(4(1(0(1(0(x1)))))))))) 2(1(2(0(x1)))) -> 0(2(0(0(4(2(2(0(4(2(x1)))))))))) 3(2(5(3(x1)))) -> 3(2(3(3(2(0(1(0(0(2(x1)))))))))) 3(3(5(0(x1)))) -> 3(0(1(5(4(3(1(3(0(2(x1)))))))))) 4(1(4(2(x1)))) -> 4(2(2(2(2(2(1(0(3(2(x1)))))))))) 0(4(5(1(2(x1))))) -> 0(4(0(3(0(4(5(1(5(5(x1)))))))))) 1(2(3(4(0(x1))))) -> 1(4(4(0(3(2(0(2(1(0(x1)))))))))) 1(2(5(2(5(x1))))) -> 1(3(2(3(0(0(5(0(3(0(x1)))))))))) 2(1(2(5(2(x1))))) -> 0(2(3(2(2(0(0(5(3(2(x1)))))))))) 2(2(5(4(5(x1))))) -> 2(0(2(0(3(5(5(1(5(5(x1)))))))))) 2(5(3(1(2(x1))))) -> 3(4(4(0(4(4(2(4(3(0(x1)))))))))) 2(5(5(5(0(x1))))) -> 3(2(2(2(5(5(4(1(0(0(x1)))))))))) 3(2(1(4(2(x1))))) -> 0(4(3(1(1(5(5(0(2(2(x1)))))))))) 3(3(3(5(0(x1))))) -> 3(2(4(1(5(0(0(0(0(0(x1)))))))))) 4(3(3(1(4(x1))))) -> 4(1(0(0(2(2(4(3(3(0(x1)))))))))) 5(3(1(2(4(x1))))) -> 5(5(4(1(3(0(0(3(0(4(x1)))))))))) 0(1(4(0(1(4(x1)))))) -> 0(2(0(1(3(4(3(1(5(2(x1)))))))))) 0(3(1(2(5(3(x1)))))) -> 0(1(0(4(5(5(4(1(5(3(x1)))))))))) 0(3(2(1(4(2(x1)))))) -> 0(1(0(0(2(0(3(5(3(2(x1)))))))))) 1(2(5(1(4(3(x1)))))) -> 0(3(3(4(3(0(1(0(3(3(x1)))))))))) 2(5(5(3(2(5(x1)))))) -> 0(0(0(3(0(2(1(4(2(3(x1)))))))))) 2(5(5(3(5(3(x1)))))) -> 3(2(2(1(5(3(0(2(0(3(x1)))))))))) 3(2(1(2(1(2(x1)))))) -> 3(3(5(1(1(3(1(0(2(2(x1)))))))))) 3(3(5(0(4(2(x1)))))) -> 3(0(0(2(0(4(1(4(4(2(x1)))))))))) 3(4(0(0(5(1(x1)))))) -> 3(0(0(4(2(1(0(3(0(1(x1)))))))))) 3(5(3(3(1(2(x1)))))) -> 1(5(4(3(3(5(4(5(2(2(x1)))))))))) 4(1(4(3(1(3(x1)))))) -> 4(0(2(2(2(3(2(4(4(3(x1)))))))))) 4(3(5(4(5(2(x1)))))) -> 5(3(0(3(2(2(3(1(5(2(x1)))))))))) 5(1(0(1(2(0(x1)))))) -> 5(4(2(1(0(2(4(3(1(0(x1)))))))))) 5(2(5(5(2(1(x1)))))) -> 1(5(4(5(3(2(3(2(0(1(x1)))))))))) 5(3(1(3(5(2(x1)))))) -> 5(0(1(0(2(0(0(0(5(2(x1)))))))))) 5(3(5(4(5(3(x1)))))) -> 5(3(0(0(0(4(1(0(4(4(x1)))))))))) 5(5(3(0(5(3(x1)))))) -> 5(4(3(0(4(2(2(4(3(0(x1)))))))))) 1(1(4(1(2(1(4(x1))))))) -> 1(2(5(2(0(0(3(1(5(5(x1)))))))))) 1(2(0(5(5(3(4(x1))))))) -> 0(5(4(4(1(5(0(4(4(4(x1)))))))))) 1(3(1(2(5(5(3(x1))))))) -> 3(3(3(0(4(4(0(0(3(3(x1)))))))))) 1(3(3(1(2(1(2(x1))))))) -> 3(1(3(3(0(1(3(4(5(5(x1)))))))))) 1(4(1(2(3(4(5(x1))))))) -> 1(1(0(4(4(2(5(4(4(5(x1)))))))))) 2(0(5(4(5(3(5(x1))))))) -> 2(0(2(1(4(4(0(0(0(4(x1)))))))))) 2(4(5(0(5(2(5(x1))))))) -> 0(4(3(2(1(1(1(4(2(3(x1)))))))))) 2(5(1(2(4(0(5(x1))))))) -> 0(0(5(5(5(0(0(0(3(3(x1)))))))))) 3(1(2(5(3(3(3(x1))))))) -> 1(0(3(0(5(1(1(5(5(0(x1)))))))))) 3(1(4(3(5(3(5(x1))))))) -> 0(0(0(3(4(2(4(1(2(5(x1)))))))))) 3(1(5(2(5(1(0(x1))))))) -> 3(4(4(2(3(4(0(4(0(2(x1)))))))))) 4(1(4(3(3(5(3(x1))))))) -> 4(2(1(3(0(4(3(2(2(0(x1)))))))))) 4(3(4(2(5(5(1(x1))))))) -> 5(2(0(4(1(3(0(1(1(1(x1)))))))))) 4(5(0(4(4(5(3(x1))))))) -> 4(4(5(1(1(1(5(4(4(0(x1)))))))))) 4(5(3(1(1(2(4(x1))))))) -> 4(4(1(4(4(3(2(1(0(4(x1)))))))))) 5(1(1(4(5(0(5(x1))))))) -> 5(0(3(4(2(1(1(5(5(3(x1)))))))))) 5(2(4(1(2(5(0(x1))))))) -> 5(4(3(0(0(4(4(1(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_5(x_1) -> 5(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: 0(1(2(3(x1)))) -> 0(0(2(2(0(1(0(5(5(4(x1)))))))))) 0(1(4(0(x1)))) -> 1(5(4(2(2(4(2(2(4(2(x1)))))))))) 1(2(5(2(x1)))) -> 1(3(4(4(1(4(1(0(1(0(x1)))))))))) 2(1(2(0(x1)))) -> 0(2(0(0(4(2(2(0(4(2(x1)))))))))) 3(2(5(3(x1)))) -> 3(2(3(3(2(0(1(0(0(2(x1)))))))))) 3(3(5(0(x1)))) -> 3(0(1(5(4(3(1(3(0(2(x1)))))))))) 4(1(4(2(x1)))) -> 4(2(2(2(2(2(1(0(3(2(x1)))))))))) 0(4(5(1(2(x1))))) -> 0(4(0(3(0(4(5(1(5(5(x1)))))))))) 1(2(3(4(0(x1))))) -> 1(4(4(0(3(2(0(2(1(0(x1)))))))))) 1(2(5(2(5(x1))))) -> 1(3(2(3(0(0(5(0(3(0(x1)))))))))) 2(1(2(5(2(x1))))) -> 0(2(3(2(2(0(0(5(3(2(x1)))))))))) 2(2(5(4(5(x1))))) -> 2(0(2(0(3(5(5(1(5(5(x1)))))))))) 2(5(3(1(2(x1))))) -> 3(4(4(0(4(4(2(4(3(0(x1)))))))))) 2(5(5(5(0(x1))))) -> 3(2(2(2(5(5(4(1(0(0(x1)))))))))) 3(2(1(4(2(x1))))) -> 0(4(3(1(1(5(5(0(2(2(x1)))))))))) 3(3(3(5(0(x1))))) -> 3(2(4(1(5(0(0(0(0(0(x1)))))))))) 4(3(3(1(4(x1))))) -> 4(1(0(0(2(2(4(3(3(0(x1)))))))))) 5(3(1(2(4(x1))))) -> 5(5(4(1(3(0(0(3(0(4(x1)))))))))) 0(1(4(0(1(4(x1)))))) -> 0(2(0(1(3(4(3(1(5(2(x1)))))))))) 0(3(1(2(5(3(x1)))))) -> 0(1(0(4(5(5(4(1(5(3(x1)))))))))) 0(3(2(1(4(2(x1)))))) -> 0(1(0(0(2(0(3(5(3(2(x1)))))))))) 1(2(5(1(4(3(x1)))))) -> 0(3(3(4(3(0(1(0(3(3(x1)))))))))) 2(5(5(3(2(5(x1)))))) -> 0(0(0(3(0(2(1(4(2(3(x1)))))))))) 2(5(5(3(5(3(x1)))))) -> 3(2(2(1(5(3(0(2(0(3(x1)))))))))) 3(2(1(2(1(2(x1)))))) -> 3(3(5(1(1(3(1(0(2(2(x1)))))))))) 3(3(5(0(4(2(x1)))))) -> 3(0(0(2(0(4(1(4(4(2(x1)))))))))) 3(4(0(0(5(1(x1)))))) -> 3(0(0(4(2(1(0(3(0(1(x1)))))))))) 3(5(3(3(1(2(x1)))))) -> 1(5(4(3(3(5(4(5(2(2(x1)))))))))) 4(1(4(3(1(3(x1)))))) -> 4(0(2(2(2(3(2(4(4(3(x1)))))))))) 4(3(5(4(5(2(x1)))))) -> 5(3(0(3(2(2(3(1(5(2(x1)))))))))) 5(1(0(1(2(0(x1)))))) -> 5(4(2(1(0(2(4(3(1(0(x1)))))))))) 5(2(5(5(2(1(x1)))))) -> 1(5(4(5(3(2(3(2(0(1(x1)))))))))) 5(3(1(3(5(2(x1)))))) -> 5(0(1(0(2(0(0(0(5(2(x1)))))))))) 5(3(5(4(5(3(x1)))))) -> 5(3(0(0(0(4(1(0(4(4(x1)))))))))) 5(5(3(0(5(3(x1)))))) -> 5(4(3(0(4(2(2(4(3(0(x1)))))))))) 1(1(4(1(2(1(4(x1))))))) -> 1(2(5(2(0(0(3(1(5(5(x1)))))))))) 1(2(0(5(5(3(4(x1))))))) -> 0(5(4(4(1(5(0(4(4(4(x1)))))))))) 1(3(1(2(5(5(3(x1))))))) -> 3(3(3(0(4(4(0(0(3(3(x1)))))))))) 1(3(3(1(2(1(2(x1))))))) -> 3(1(3(3(0(1(3(4(5(5(x1)))))))))) 1(4(1(2(3(4(5(x1))))))) -> 1(1(0(4(4(2(5(4(4(5(x1)))))))))) 2(0(5(4(5(3(5(x1))))))) -> 2(0(2(1(4(4(0(0(0(4(x1)))))))))) 2(4(5(0(5(2(5(x1))))))) -> 0(4(3(2(1(1(1(4(2(3(x1)))))))))) 2(5(1(2(4(0(5(x1))))))) -> 0(0(5(5(5(0(0(0(3(3(x1)))))))))) 3(1(2(5(3(3(3(x1))))))) -> 1(0(3(0(5(1(1(5(5(0(x1)))))))))) 3(1(4(3(5(3(5(x1))))))) -> 0(0(0(3(4(2(4(1(2(5(x1)))))))))) 3(1(5(2(5(1(0(x1))))))) -> 3(4(4(2(3(4(0(4(0(2(x1)))))))))) 4(1(4(3(3(5(3(x1))))))) -> 4(2(1(3(0(4(3(2(2(0(x1)))))))))) 4(3(4(2(5(5(1(x1))))))) -> 5(2(0(4(1(3(0(1(1(1(x1)))))))))) 4(5(0(4(4(5(3(x1))))))) -> 4(4(5(1(1(1(5(4(4(0(x1)))))))))) 4(5(3(1(1(2(4(x1))))))) -> 4(4(1(4(4(3(2(1(0(4(x1)))))))))) 5(1(1(4(5(0(5(x1))))))) -> 5(0(3(4(2(1(1(5(5(3(x1)))))))))) 5(2(4(1(2(5(0(x1))))))) -> 5(4(3(0(0(4(4(1(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_5(x_1) -> 5(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: 0(1(2(3(x1)))) -> 0(0(2(2(0(1(0(5(5(4(x1)))))))))) 0(1(4(0(x1)))) -> 1(5(4(2(2(4(2(2(4(2(x1)))))))))) 1(2(5(2(x1)))) -> 1(3(4(4(1(4(1(0(1(0(x1)))))))))) 2(1(2(0(x1)))) -> 0(2(0(0(4(2(2(0(4(2(x1)))))))))) 3(2(5(3(x1)))) -> 3(2(3(3(2(0(1(0(0(2(x1)))))))))) 3(3(5(0(x1)))) -> 3(0(1(5(4(3(1(3(0(2(x1)))))))))) 4(1(4(2(x1)))) -> 4(2(2(2(2(2(1(0(3(2(x1)))))))))) 0(4(5(1(2(x1))))) -> 0(4(0(3(0(4(5(1(5(5(x1)))))))))) 1(2(3(4(0(x1))))) -> 1(4(4(0(3(2(0(2(1(0(x1)))))))))) 1(2(5(2(5(x1))))) -> 1(3(2(3(0(0(5(0(3(0(x1)))))))))) 2(1(2(5(2(x1))))) -> 0(2(3(2(2(0(0(5(3(2(x1)))))))))) 2(2(5(4(5(x1))))) -> 2(0(2(0(3(5(5(1(5(5(x1)))))))))) 2(5(3(1(2(x1))))) -> 3(4(4(0(4(4(2(4(3(0(x1)))))))))) 2(5(5(5(0(x1))))) -> 3(2(2(2(5(5(4(1(0(0(x1)))))))))) 3(2(1(4(2(x1))))) -> 0(4(3(1(1(5(5(0(2(2(x1)))))))))) 3(3(3(5(0(x1))))) -> 3(2(4(1(5(0(0(0(0(0(x1)))))))))) 4(3(3(1(4(x1))))) -> 4(1(0(0(2(2(4(3(3(0(x1)))))))))) 5(3(1(2(4(x1))))) -> 5(5(4(1(3(0(0(3(0(4(x1)))))))))) 0(1(4(0(1(4(x1)))))) -> 0(2(0(1(3(4(3(1(5(2(x1)))))))))) 0(3(1(2(5(3(x1)))))) -> 0(1(0(4(5(5(4(1(5(3(x1)))))))))) 0(3(2(1(4(2(x1)))))) -> 0(1(0(0(2(0(3(5(3(2(x1)))))))))) 1(2(5(1(4(3(x1)))))) -> 0(3(3(4(3(0(1(0(3(3(x1)))))))))) 2(5(5(3(2(5(x1)))))) -> 0(0(0(3(0(2(1(4(2(3(x1)))))))))) 2(5(5(3(5(3(x1)))))) -> 3(2(2(1(5(3(0(2(0(3(x1)))))))))) 3(2(1(2(1(2(x1)))))) -> 3(3(5(1(1(3(1(0(2(2(x1)))))))))) 3(3(5(0(4(2(x1)))))) -> 3(0(0(2(0(4(1(4(4(2(x1)))))))))) 3(4(0(0(5(1(x1)))))) -> 3(0(0(4(2(1(0(3(0(1(x1)))))))))) 3(5(3(3(1(2(x1)))))) -> 1(5(4(3(3(5(4(5(2(2(x1)))))))))) 4(1(4(3(1(3(x1)))))) -> 4(0(2(2(2(3(2(4(4(3(x1)))))))))) 4(3(5(4(5(2(x1)))))) -> 5(3(0(3(2(2(3(1(5(2(x1)))))))))) 5(1(0(1(2(0(x1)))))) -> 5(4(2(1(0(2(4(3(1(0(x1)))))))))) 5(2(5(5(2(1(x1)))))) -> 1(5(4(5(3(2(3(2(0(1(x1)))))))))) 5(3(1(3(5(2(x1)))))) -> 5(0(1(0(2(0(0(0(5(2(x1)))))))))) 5(3(5(4(5(3(x1)))))) -> 5(3(0(0(0(4(1(0(4(4(x1)))))))))) 5(5(3(0(5(3(x1)))))) -> 5(4(3(0(4(2(2(4(3(0(x1)))))))))) 1(1(4(1(2(1(4(x1))))))) -> 1(2(5(2(0(0(3(1(5(5(x1)))))))))) 1(2(0(5(5(3(4(x1))))))) -> 0(5(4(4(1(5(0(4(4(4(x1)))))))))) 1(3(1(2(5(5(3(x1))))))) -> 3(3(3(0(4(4(0(0(3(3(x1)))))))))) 1(3(3(1(2(1(2(x1))))))) -> 3(1(3(3(0(1(3(4(5(5(x1)))))))))) 1(4(1(2(3(4(5(x1))))))) -> 1(1(0(4(4(2(5(4(4(5(x1)))))))))) 2(0(5(4(5(3(5(x1))))))) -> 2(0(2(1(4(4(0(0(0(4(x1)))))))))) 2(4(5(0(5(2(5(x1))))))) -> 0(4(3(2(1(1(1(4(2(3(x1)))))))))) 2(5(1(2(4(0(5(x1))))))) -> 0(0(5(5(5(0(0(0(3(3(x1)))))))))) 3(1(2(5(3(3(3(x1))))))) -> 1(0(3(0(5(1(1(5(5(0(x1)))))))))) 3(1(4(3(5(3(5(x1))))))) -> 0(0(0(3(4(2(4(1(2(5(x1)))))))))) 3(1(5(2(5(1(0(x1))))))) -> 3(4(4(2(3(4(0(4(0(2(x1)))))))))) 4(1(4(3(3(5(3(x1))))))) -> 4(2(1(3(0(4(3(2(2(0(x1)))))))))) 4(3(4(2(5(5(1(x1))))))) -> 5(2(0(4(1(3(0(1(1(1(x1)))))))))) 4(5(0(4(4(5(3(x1))))))) -> 4(4(5(1(1(1(5(4(4(0(x1)))))))))) 4(5(3(1(1(2(4(x1))))))) -> 4(4(1(4(4(3(2(1(0(4(x1)))))))))) 5(1(1(4(5(0(5(x1))))))) -> 5(0(3(4(2(1(1(5(5(3(x1)))))))))) 5(2(4(1(2(5(0(x1))))))) -> 5(4(3(0(0(4(4(1(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_5(x_1) -> 5(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: 0(1(2(3(x1)))) -> 0(0(2(2(0(1(0(5(5(4(x1)))))))))) 0(1(4(0(x1)))) -> 1(5(4(2(2(4(2(2(4(2(x1)))))))))) 1(2(5(2(x1)))) -> 1(3(4(4(1(4(1(0(1(0(x1)))))))))) 2(1(2(0(x1)))) -> 0(2(0(0(4(2(2(0(4(2(x1)))))))))) 3(2(5(3(x1)))) -> 3(2(3(3(2(0(1(0(0(2(x1)))))))))) 3(3(5(0(x1)))) -> 3(0(1(5(4(3(1(3(0(2(x1)))))))))) 4(1(4(2(x1)))) -> 4(2(2(2(2(2(1(0(3(2(x1)))))))))) 0(4(5(1(2(x1))))) -> 0(4(0(3(0(4(5(1(5(5(x1)))))))))) 1(2(3(4(0(x1))))) -> 1(4(4(0(3(2(0(2(1(0(x1)))))))))) 1(2(5(2(5(x1))))) -> 1(3(2(3(0(0(5(0(3(0(x1)))))))))) 2(1(2(5(2(x1))))) -> 0(2(3(2(2(0(0(5(3(2(x1)))))))))) 2(2(5(4(5(x1))))) -> 2(0(2(0(3(5(5(1(5(5(x1)))))))))) 2(5(3(1(2(x1))))) -> 3(4(4(0(4(4(2(4(3(0(x1)))))))))) 2(5(5(5(0(x1))))) -> 3(2(2(2(5(5(4(1(0(0(x1)))))))))) 3(2(1(4(2(x1))))) -> 0(4(3(1(1(5(5(0(2(2(x1)))))))))) 3(3(3(5(0(x1))))) -> 3(2(4(1(5(0(0(0(0(0(x1)))))))))) 4(3(3(1(4(x1))))) -> 4(1(0(0(2(2(4(3(3(0(x1)))))))))) 5(3(1(2(4(x1))))) -> 5(5(4(1(3(0(0(3(0(4(x1)))))))))) 0(1(4(0(1(4(x1)))))) -> 0(2(0(1(3(4(3(1(5(2(x1)))))))))) 0(3(1(2(5(3(x1)))))) -> 0(1(0(4(5(5(4(1(5(3(x1)))))))))) 0(3(2(1(4(2(x1)))))) -> 0(1(0(0(2(0(3(5(3(2(x1)))))))))) 1(2(5(1(4(3(x1)))))) -> 0(3(3(4(3(0(1(0(3(3(x1)))))))))) 2(5(5(3(2(5(x1)))))) -> 0(0(0(3(0(2(1(4(2(3(x1)))))))))) 2(5(5(3(5(3(x1)))))) -> 3(2(2(1(5(3(0(2(0(3(x1)))))))))) 3(2(1(2(1(2(x1)))))) -> 3(3(5(1(1(3(1(0(2(2(x1)))))))))) 3(3(5(0(4(2(x1)))))) -> 3(0(0(2(0(4(1(4(4(2(x1)))))))))) 3(4(0(0(5(1(x1)))))) -> 3(0(0(4(2(1(0(3(0(1(x1)))))))))) 3(5(3(3(1(2(x1)))))) -> 1(5(4(3(3(5(4(5(2(2(x1)))))))))) 4(1(4(3(1(3(x1)))))) -> 4(0(2(2(2(3(2(4(4(3(x1)))))))))) 4(3(5(4(5(2(x1)))))) -> 5(3(0(3(2(2(3(1(5(2(x1)))))))))) 5(1(0(1(2(0(x1)))))) -> 5(4(2(1(0(2(4(3(1(0(x1)))))))))) 5(2(5(5(2(1(x1)))))) -> 1(5(4(5(3(2(3(2(0(1(x1)))))))))) 5(3(1(3(5(2(x1)))))) -> 5(0(1(0(2(0(0(0(5(2(x1)))))))))) 5(3(5(4(5(3(x1)))))) -> 5(3(0(0(0(4(1(0(4(4(x1)))))))))) 5(5(3(0(5(3(x1)))))) -> 5(4(3(0(4(2(2(4(3(0(x1)))))))))) 1(1(4(1(2(1(4(x1))))))) -> 1(2(5(2(0(0(3(1(5(5(x1)))))))))) 1(2(0(5(5(3(4(x1))))))) -> 0(5(4(4(1(5(0(4(4(4(x1)))))))))) 1(3(1(2(5(5(3(x1))))))) -> 3(3(3(0(4(4(0(0(3(3(x1)))))))))) 1(3(3(1(2(1(2(x1))))))) -> 3(1(3(3(0(1(3(4(5(5(x1)))))))))) 1(4(1(2(3(4(5(x1))))))) -> 1(1(0(4(4(2(5(4(4(5(x1)))))))))) 2(0(5(4(5(3(5(x1))))))) -> 2(0(2(1(4(4(0(0(0(4(x1)))))))))) 2(4(5(0(5(2(5(x1))))))) -> 0(4(3(2(1(1(1(4(2(3(x1)))))))))) 2(5(1(2(4(0(5(x1))))))) -> 0(0(5(5(5(0(0(0(3(3(x1)))))))))) 3(1(2(5(3(3(3(x1))))))) -> 1(0(3(0(5(1(1(5(5(0(x1)))))))))) 3(1(4(3(5(3(5(x1))))))) -> 0(0(0(3(4(2(4(1(2(5(x1)))))))))) 3(1(5(2(5(1(0(x1))))))) -> 3(4(4(2(3(4(0(4(0(2(x1)))))))))) 4(1(4(3(3(5(3(x1))))))) -> 4(2(1(3(0(4(3(2(2(0(x1)))))))))) 4(3(4(2(5(5(1(x1))))))) -> 5(2(0(4(1(3(0(1(1(1(x1)))))))))) 4(5(0(4(4(5(3(x1))))))) -> 4(4(5(1(1(1(5(4(4(0(x1)))))))))) 4(5(3(1(1(2(4(x1))))))) -> 4(4(1(4(4(3(2(1(0(4(x1)))))))))) 5(1(1(4(5(0(5(x1))))))) -> 5(0(3(4(2(1(1(5(5(3(x1)))))))))) 5(2(4(1(2(5(0(x1))))))) -> 5(4(3(0(0(4(4(1(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_5(x_1) -> 5(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. "[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, 611, 612, 613, 614, 615, 616, 617, 618, 619, 620, 621, 622, 623, 624, 625, 626, 627, 628, 629, 630, 631, 632, 633, 634, 635, 636, 637, 638, 639, 640, 641, 642, 643, 644, 645, 646, 647, 648, 649, 650, 651, 652, 653, 654, 655, 656, 657, 658, 659, 660, 661, 662, 663, 664, 665, 666, 667, 668, 669, 670, 671, 672, 673, 674] {(150,151,[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_5_1|0, encode_4_1|0]), (150,152,[0_1|1, 1_1|1, 2_1|1, 3_1|1, 4_1|1, 5_1|1]), (150,153,[0_1|2]), (150,162,[1_1|2]), (150,171,[0_1|2]), (150,180,[0_1|2]), (150,189,[0_1|2]), (150,198,[0_1|2]), (150,207,[1_1|2]), (150,216,[1_1|2]), (150,225,[0_1|2]), (150,234,[1_1|2]), (150,243,[0_1|2]), (150,252,[1_1|2]), (150,261,[3_1|2]), (150,270,[3_1|2]), (150,279,[1_1|2]), (150,288,[0_1|2]), (150,297,[0_1|2]), (150,306,[2_1|2]), (150,315,[3_1|2]), (150,324,[3_1|2]), (150,333,[0_1|2]), (150,342,[3_1|2]), (150,351,[0_1|2]), (150,360,[2_1|2]), (150,369,[0_1|2]), (150,378,[3_1|2]), (150,387,[0_1|2]), (150,396,[3_1|2]), (150,405,[3_1|2]), (150,414,[3_1|2]), (150,423,[3_1|2]), (150,432,[3_1|2]), (150,441,[1_1|2]), (150,450,[1_1|2]), (150,459,[0_1|2]), (150,468,[3_1|2]), (150,477,[4_1|2]), (150,486,[4_1|2]), (150,495,[4_1|2]), (150,504,[4_1|2]), (150,513,[5_1|2]), (150,522,[5_1|2]), (150,531,[4_1|2]), (150,540,[4_1|2]), (150,549,[5_1|2]), (150,558,[5_1|2]), (150,567,[5_1|2]), (150,576,[5_1|2]), (150,585,[5_1|2]), (150,594,[1_1|2]), (150,603,[5_1|2]), (150,612,[5_1|2]), (150,621,[1_1|3]), (151,151,[cons_0_1|0, cons_1_1|0, cons_2_1|0, cons_3_1|0, cons_4_1|0, cons_5_1|0]), (152,151,[encArg_1|1]), (152,152,[0_1|1, 1_1|1, 2_1|1, 3_1|1, 4_1|1, 5_1|1]), (152,153,[0_1|2]), (152,162,[1_1|2]), (152,171,[0_1|2]), (152,180,[0_1|2]), (152,189,[0_1|2]), (152,198,[0_1|2]), (152,207,[1_1|2]), (152,216,[1_1|2]), (152,225,[0_1|2]), (152,234,[1_1|2]), (152,243,[0_1|2]), (152,252,[1_1|2]), (152,261,[3_1|2]), (152,270,[3_1|2]), (152,279,[1_1|2]), (152,288,[0_1|2]), (152,297,[0_1|2]), (152,306,[2_1|2]), (152,315,[3_1|2]), (152,324,[3_1|2]), (152,333,[0_1|2]), (152,342,[3_1|2]), (152,351,[0_1|2]), (152,360,[2_1|2]), (152,369,[0_1|2]), (152,378,[3_1|2]), (152,387,[0_1|2]), (152,396,[3_1|2]), (152,405,[3_1|2]), (152,414,[3_1|2]), (152,423,[3_1|2]), (152,432,[3_1|2]), (152,441,[1_1|2]), (152,450,[1_1|2]), (152,459,[0_1|2]), (152,468,[3_1|2]), (152,477,[4_1|2]), (152,486,[4_1|2]), (152,495,[4_1|2]), (152,504,[4_1|2]), (152,513,[5_1|2]), (152,522,[5_1|2]), (152,531,[4_1|2]), (152,540,[4_1|2]), (152,549,[5_1|2]), (152,558,[5_1|2]), (152,567,[5_1|2]), (152,576,[5_1|2]), (152,585,[5_1|2]), (152,594,[1_1|2]), (152,603,[5_1|2]), (152,612,[5_1|2]), (152,621,[1_1|3]), (153,154,[0_1|2]), (154,155,[2_1|2]), (155,156,[2_1|2]), (156,157,[0_1|2]), (157,158,[1_1|2]), (158,159,[0_1|2]), (159,160,[5_1|2]), (160,161,[5_1|2]), (161,152,[4_1|2]), (161,261,[4_1|2]), (161,270,[4_1|2]), (161,315,[4_1|2]), (161,324,[4_1|2]), (161,342,[4_1|2]), (161,378,[4_1|2]), (161,396,[4_1|2]), (161,405,[4_1|2]), (161,414,[4_1|2]), (161,423,[4_1|2]), (161,432,[4_1|2]), (161,468,[4_1|2]), (161,477,[4_1|2]), (161,486,[4_1|2]), (161,495,[4_1|2]), (161,504,[4_1|2]), (161,513,[5_1|2]), (161,522,[5_1|2]), (161,531,[4_1|2]), (161,540,[4_1|2]), (162,163,[5_1|2]), (163,164,[4_1|2]), (164,165,[2_1|2]), (165,166,[2_1|2]), (166,167,[4_1|2]), (167,168,[2_1|2]), (168,169,[2_1|2]), (169,170,[4_1|2]), (170,152,[2_1|2]), (170,153,[2_1|2]), (170,171,[2_1|2]), (170,180,[2_1|2]), (170,189,[2_1|2]), (170,198,[2_1|2]), (170,225,[2_1|2]), (170,243,[2_1|2]), (170,288,[2_1|2, 0_1|2]), (170,297,[2_1|2, 0_1|2]), (170,333,[2_1|2, 0_1|2]), (170,351,[2_1|2, 0_1|2]), (170,369,[2_1|2, 0_1|2]), (170,387,[2_1|2]), (170,459,[2_1|2]), (170,487,[2_1|2]), (170,306,[2_1|2]), (170,315,[3_1|2]), (170,324,[3_1|2]), (170,342,[3_1|2]), (170,360,[2_1|2]), (170,630,[0_1|3]), (171,172,[2_1|2]), (172,173,[0_1|2]), (173,174,[1_1|2]), (174,175,[3_1|2]), (175,176,[4_1|2]), (176,177,[3_1|2]), (176,468,[3_1|2]), (177,178,[1_1|2]), (178,179,[5_1|2]), (178,594,[1_1|2]), (178,603,[5_1|2]), (179,152,[2_1|2]), (179,477,[2_1|2]), (179,486,[2_1|2]), (179,495,[2_1|2]), (179,504,[2_1|2]), (179,531,[2_1|2]), (179,540,[2_1|2]), (179,235,[2_1|2]), (179,288,[0_1|2]), (179,297,[0_1|2]), (179,306,[2_1|2]), (179,315,[3_1|2]), (179,324,[3_1|2]), (179,333,[0_1|2]), (179,342,[3_1|2]), (179,351,[0_1|2]), (179,360,[2_1|2]), (179,369,[0_1|2]), (179,630,[0_1|3]), (180,181,[4_1|2]), (181,182,[0_1|2]), (182,183,[3_1|2]), (183,184,[0_1|2]), (184,185,[4_1|2]), (185,186,[5_1|2]), (186,187,[1_1|2]), (187,188,[5_1|2]), (187,612,[5_1|2]), (188,152,[5_1|2]), (188,306,[5_1|2]), (188,360,[5_1|2]), (188,253,[5_1|2]), (188,549,[5_1|2]), (188,558,[5_1|2]), (188,567,[5_1|2]), (188,576,[5_1|2]), (188,585,[5_1|2]), (188,594,[1_1|2]), (188,603,[5_1|2]), (188,612,[5_1|2]), (189,190,[1_1|2]), (190,191,[0_1|2]), (191,192,[4_1|2]), (192,193,[5_1|2]), (193,194,[5_1|2]), (194,195,[4_1|2]), (195,196,[1_1|2]), (196,197,[5_1|2]), (196,549,[5_1|2]), (196,558,[5_1|2]), (196,567,[5_1|2]), (197,152,[3_1|2]), (197,261,[3_1|2]), (197,270,[3_1|2]), (197,315,[3_1|2]), (197,324,[3_1|2]), (197,342,[3_1|2]), (197,378,[3_1|2]), (197,396,[3_1|2]), (197,405,[3_1|2]), (197,414,[3_1|2]), (197,423,[3_1|2]), (197,432,[3_1|2]), (197,468,[3_1|2]), (197,514,[3_1|2]), (197,568,[3_1|2]), (197,387,[0_1|2]), (197,441,[1_1|2]), (197,450,[1_1|2]), (197,459,[0_1|2]), (198,199,[1_1|2]), (199,200,[0_1|2]), (200,201,[0_1|2]), (201,202,[2_1|2]), (202,203,[0_1|2]), (203,204,[3_1|2]), (204,205,[5_1|2]), (205,206,[3_1|2]), (205,378,[3_1|2]), (205,387,[0_1|2]), (205,396,[3_1|2]), (205,639,[3_1|3]), (206,152,[2_1|2]), (206,306,[2_1|2]), (206,360,[2_1|2]), (206,478,[2_1|2]), (206,496,[2_1|2]), (206,288,[0_1|2]), (206,297,[0_1|2]), (206,315,[3_1|2]), (206,324,[3_1|2]), (206,333,[0_1|2]), (206,342,[3_1|2]), (206,351,[0_1|2]), (206,369,[0_1|2]), (206,630,[0_1|3]), (207,208,[3_1|2]), (208,209,[4_1|2]), (209,210,[4_1|2]), (210,211,[1_1|2]), (211,212,[4_1|2]), (212,213,[1_1|2]), (213,214,[0_1|2]), (214,215,[1_1|2]), (215,152,[0_1|2]), (215,306,[0_1|2]), (215,360,[0_1|2]), (215,523,[0_1|2]), (215,153,[0_1|2]), (215,162,[1_1|2]), (215,171,[0_1|2]), (215,180,[0_1|2]), (215,189,[0_1|2]), (215,198,[0_1|2]), (216,217,[3_1|2]), (217,218,[2_1|2]), (218,219,[3_1|2]), (219,220,[0_1|2]), (220,221,[0_1|2]), (221,222,[5_1|2]), (222,223,[0_1|2]), (223,224,[3_1|2]), (224,152,[0_1|2]), (224,513,[0_1|2]), (224,522,[0_1|2]), (224,549,[0_1|2]), (224,558,[0_1|2]), (224,567,[0_1|2]), (224,576,[0_1|2]), (224,585,[0_1|2]), (224,603,[0_1|2]), (224,612,[0_1|2]), (224,153,[0_1|2]), (224,162,[1_1|2]), (224,171,[0_1|2]), (224,180,[0_1|2]), (224,189,[0_1|2]), (224,198,[0_1|2]), (225,226,[3_1|2]), (226,227,[3_1|2]), (227,228,[4_1|2]), (228,229,[3_1|2]), (229,230,[0_1|2]), (230,231,[1_1|2]), (231,232,[0_1|2]), (232,233,[3_1|2]), (232,405,[3_1|2]), (232,414,[3_1|2]), (232,423,[3_1|2]), (232,648,[3_1|3]), (233,152,[3_1|2]), (233,261,[3_1|2]), (233,270,[3_1|2]), (233,315,[3_1|2]), (233,324,[3_1|2]), (233,342,[3_1|2]), (233,378,[3_1|2]), (233,396,[3_1|2]), (233,405,[3_1|2]), (233,414,[3_1|2]), (233,423,[3_1|2]), (233,432,[3_1|2]), (233,468,[3_1|2]), (233,387,[0_1|2]), (233,441,[1_1|2]), (233,450,[1_1|2]), (233,459,[0_1|2]), (234,235,[4_1|2]), (235,236,[4_1|2]), (236,237,[0_1|2]), (237,238,[3_1|2]), (238,239,[2_1|2]), (239,240,[0_1|2]), (240,241,[2_1|2]), (241,242,[1_1|2]), (242,152,[0_1|2]), (242,153,[0_1|2]), (242,171,[0_1|2]), (242,180,[0_1|2]), (242,189,[0_1|2]), (242,198,[0_1|2]), (242,225,[0_1|2]), (242,243,[0_1|2]), (242,288,[0_1|2]), (242,297,[0_1|2]), (242,333,[0_1|2]), (242,351,[0_1|2]), (242,369,[0_1|2]), (242,387,[0_1|2]), (242,459,[0_1|2]), (242,487,[0_1|2]), (242,162,[1_1|2]), (243,244,[5_1|2]), (244,245,[4_1|2]), (245,246,[4_1|2]), (246,247,[1_1|2]), (247,248,[5_1|2]), (248,249,[0_1|2]), (249,250,[4_1|2]), (250,251,[4_1|2]), (251,152,[4_1|2]), (251,477,[4_1|2]), (251,486,[4_1|2]), (251,495,[4_1|2]), (251,504,[4_1|2]), (251,531,[4_1|2]), (251,540,[4_1|2]), (251,316,[4_1|2]), (251,469,[4_1|2]), (251,513,[5_1|2]), (251,522,[5_1|2]), (252,253,[2_1|2]), (253,254,[5_1|2]), (254,255,[2_1|2]), (255,256,[0_1|2]), (256,257,[0_1|2]), (257,258,[3_1|2]), (258,259,[1_1|2]), (259,260,[5_1|2]), (259,612,[5_1|2]), (260,152,[5_1|2]), (260,477,[5_1|2]), (260,486,[5_1|2]), (260,495,[5_1|2]), (260,504,[5_1|2]), (260,531,[5_1|2]), (260,540,[5_1|2]), (260,235,[5_1|2]), (260,549,[5_1|2]), (260,558,[5_1|2]), (260,567,[5_1|2]), (260,576,[5_1|2]), (260,585,[5_1|2]), (260,594,[1_1|2]), (260,603,[5_1|2]), (260,612,[5_1|2]), (261,262,[3_1|2]), (262,263,[3_1|2]), (263,264,[0_1|2]), (264,265,[4_1|2]), (265,266,[4_1|2]), (266,267,[0_1|2]), (267,268,[0_1|2]), (268,269,[3_1|2]), (268,405,[3_1|2]), (268,414,[3_1|2]), (268,423,[3_1|2]), (268,648,[3_1|3]), (269,152,[3_1|2]), (269,261,[3_1|2]), (269,270,[3_1|2]), (269,315,[3_1|2]), (269,324,[3_1|2]), (269,342,[3_1|2]), (269,378,[3_1|2]), (269,396,[3_1|2]), (269,405,[3_1|2]), (269,414,[3_1|2]), (269,423,[3_1|2]), (269,432,[3_1|2]), (269,468,[3_1|2]), (269,514,[3_1|2]), (269,568,[3_1|2]), (269,387,[0_1|2]), (269,441,[1_1|2]), (269,450,[1_1|2]), (269,459,[0_1|2]), (270,271,[1_1|2]), (271,272,[3_1|2]), (272,273,[3_1|2]), (273,274,[0_1|2]), (274,275,[1_1|2]), (275,276,[3_1|2]), (276,277,[4_1|2]), (277,278,[5_1|2]), (277,612,[5_1|2]), (278,152,[5_1|2]), (278,306,[5_1|2]), (278,360,[5_1|2]), (278,253,[5_1|2]), (278,549,[5_1|2]), (278,558,[5_1|2]), (278,567,[5_1|2]), (278,576,[5_1|2]), (278,585,[5_1|2]), (278,594,[1_1|2]), (278,603,[5_1|2]), (278,612,[5_1|2]), (279,280,[1_1|2]), (280,281,[0_1|2]), (281,282,[4_1|2]), 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(529,621,[1_1|3]), (530,152,[1_1|2]), (530,162,[1_1|2]), (530,207,[1_1|2]), (530,216,[1_1|2]), (530,234,[1_1|2]), (530,252,[1_1|2]), (530,279,[1_1|2]), (530,441,[1_1|2]), (530,450,[1_1|2]), (530,594,[1_1|2]), (530,225,[0_1|2]), (530,243,[0_1|2]), (530,261,[3_1|2]), (530,270,[3_1|2]), (530,621,[1_1|2, 1_1|3]), (531,532,[4_1|2]), (532,533,[5_1|2]), (533,534,[1_1|2]), (534,535,[1_1|2]), (535,536,[1_1|2]), (536,537,[5_1|2]), (537,538,[4_1|2]), (538,539,[4_1|2]), (539,152,[0_1|2]), (539,261,[0_1|2]), (539,270,[0_1|2]), (539,315,[0_1|2]), (539,324,[0_1|2]), (539,342,[0_1|2]), (539,378,[0_1|2]), (539,396,[0_1|2]), (539,405,[0_1|2]), (539,414,[0_1|2]), (539,423,[0_1|2]), (539,432,[0_1|2]), (539,468,[0_1|2]), (539,514,[0_1|2]), (539,568,[0_1|2]), (539,153,[0_1|2]), (539,162,[1_1|2]), (539,171,[0_1|2]), (539,180,[0_1|2]), (539,189,[0_1|2]), (539,198,[0_1|2]), (540,541,[4_1|2]), (541,542,[1_1|2]), (542,543,[4_1|2]), (543,544,[4_1|2]), (544,545,[3_1|2]), (545,546,[2_1|2]), (546,547,[1_1|2]), (547,548,[0_1|2]), (547,180,[0_1|2]), (548,152,[4_1|2]), (548,477,[4_1|2]), (548,486,[4_1|2]), (548,495,[4_1|2]), (548,504,[4_1|2]), (548,531,[4_1|2]), (548,540,[4_1|2]), (548,513,[5_1|2]), (548,522,[5_1|2]), (549,550,[5_1|2]), (550,551,[4_1|2]), (551,552,[1_1|2]), (552,553,[3_1|2]), (553,554,[0_1|2]), (554,555,[0_1|2]), (555,556,[3_1|2]), (556,557,[0_1|2]), (556,180,[0_1|2]), (557,152,[4_1|2]), (557,477,[4_1|2]), (557,486,[4_1|2]), (557,495,[4_1|2]), (557,504,[4_1|2]), (557,531,[4_1|2]), (557,540,[4_1|2]), (557,513,[5_1|2]), (557,522,[5_1|2]), (558,559,[0_1|2]), (559,560,[1_1|2]), (560,561,[0_1|2]), (561,562,[2_1|2]), (562,563,[0_1|2]), (563,564,[0_1|2]), (564,565,[0_1|2]), (565,566,[5_1|2]), (565,594,[1_1|2]), (565,603,[5_1|2]), (566,152,[2_1|2]), (566,306,[2_1|2]), (566,360,[2_1|2]), (566,523,[2_1|2]), (566,288,[0_1|2]), (566,297,[0_1|2]), (566,315,[3_1|2]), (566,324,[3_1|2]), (566,333,[0_1|2]), (566,342,[3_1|2]), (566,351,[0_1|2]), (566,369,[0_1|2]), (566,630,[0_1|3]), (567,568,[3_1|2]), (568,569,[0_1|2]), (569,570,[0_1|2]), (570,571,[0_1|2]), (571,572,[4_1|2]), (572,573,[1_1|2]), (573,574,[0_1|2]), (574,575,[4_1|2]), (575,152,[4_1|2]), (575,261,[4_1|2]), (575,270,[4_1|2]), (575,315,[4_1|2]), (575,324,[4_1|2]), (575,342,[4_1|2]), (575,378,[4_1|2]), (575,396,[4_1|2]), (575,405,[4_1|2]), (575,414,[4_1|2]), (575,423,[4_1|2]), (575,432,[4_1|2]), (575,468,[4_1|2]), (575,514,[4_1|2]), (575,568,[4_1|2]), (575,477,[4_1|2]), (575,486,[4_1|2]), (575,495,[4_1|2]), (575,504,[4_1|2]), (575,513,[5_1|2]), (575,522,[5_1|2]), (575,531,[4_1|2]), (575,540,[4_1|2]), (576,577,[4_1|2]), (577,578,[2_1|2]), (578,579,[1_1|2]), (579,580,[0_1|2]), (580,581,[2_1|2]), (581,582,[4_1|2]), (582,583,[3_1|2]), (583,584,[1_1|2]), (584,152,[0_1|2]), (584,153,[0_1|2]), (584,171,[0_1|2]), (584,180,[0_1|2]), (584,189,[0_1|2]), (584,198,[0_1|2]), (584,225,[0_1|2]), (584,243,[0_1|2]), (584,288,[0_1|2]), (584,297,[0_1|2]), (584,333,[0_1|2]), (584,351,[0_1|2]), (584,369,[0_1|2]), (584,387,[0_1|2]), (584,459,[0_1|2]), (584,307,[0_1|2]), (584,361,[0_1|2]), (584,162,[1_1|2]), (585,586,[0_1|2]), (586,587,[3_1|2]), (587,588,[4_1|2]), (588,589,[2_1|2]), (589,590,[1_1|2]), (590,591,[1_1|2]), (591,592,[5_1|2]), (591,612,[5_1|2]), (592,593,[5_1|2]), (592,549,[5_1|2]), (592,558,[5_1|2]), (592,567,[5_1|2]), (593,152,[3_1|2]), (593,513,[3_1|2]), (593,522,[3_1|2]), (593,549,[3_1|2]), (593,558,[3_1|2]), (593,567,[3_1|2]), (593,576,[3_1|2]), (593,585,[3_1|2]), (593,603,[3_1|2]), (593,612,[3_1|2]), (593,244,[3_1|2]), (593,378,[3_1|2]), (593,387,[0_1|2]), (593,396,[3_1|2]), (593,405,[3_1|2]), (593,414,[3_1|2]), (593,423,[3_1|2]), (593,432,[3_1|2]), (593,441,[1_1|2]), (593,450,[1_1|2]), (593,459,[0_1|2]), (593,468,[3_1|2]), (594,595,[5_1|2]), (595,596,[4_1|2]), (596,597,[5_1|2]), (597,598,[3_1|2]), (598,599,[2_1|2]), (599,600,[3_1|2]), (600,601,[2_1|2]), (601,602,[0_1|2]), (601,153,[0_1|2]), (601,162,[1_1|2]), (601,171,[0_1|2]), (601,657,[1_1|3]), (602,152,[1_1|2]), (602,162,[1_1|2]), (602,207,[1_1|2]), (602,216,[1_1|2]), (602,234,[1_1|2]), (602,252,[1_1|2]), (602,279,[1_1|2]), (602,441,[1_1|2]), (602,450,[1_1|2]), (602,594,[1_1|2]), (602,225,[0_1|2]), (602,243,[0_1|2]), (602,261,[3_1|2]), (602,270,[3_1|2]), (602,621,[1_1|2, 1_1|3]), (603,604,[4_1|2]), (604,605,[3_1|2]), (605,606,[0_1|2]), (606,607,[0_1|2]), (607,608,[4_1|2]), (608,609,[4_1|2]), (609,610,[1_1|2]), (610,611,[5_1|2]), (611,152,[0_1|2]), (611,153,[0_1|2]), (611,171,[0_1|2]), (611,180,[0_1|2]), (611,189,[0_1|2]), (611,198,[0_1|2]), (611,225,[0_1|2]), (611,243,[0_1|2]), (611,288,[0_1|2]), (611,297,[0_1|2]), (611,333,[0_1|2]), (611,351,[0_1|2]), (611,369,[0_1|2]), (611,387,[0_1|2]), (611,459,[0_1|2]), (611,559,[0_1|2]), (611,586,[0_1|2]), (611,162,[1_1|2]), (612,613,[4_1|2]), (613,614,[3_1|2]), (614,615,[0_1|2]), (615,616,[4_1|2]), (616,617,[2_1|2]), (617,618,[2_1|2]), (618,619,[4_1|2]), (619,620,[3_1|2]), (620,152,[0_1|2]), (620,261,[0_1|2]), (620,270,[0_1|2]), (620,315,[0_1|2]), (620,324,[0_1|2]), (620,342,[0_1|2]), (620,378,[0_1|2]), (620,396,[0_1|2]), (620,405,[0_1|2]), (620,414,[0_1|2]), (620,423,[0_1|2]), (620,432,[0_1|2]), (620,468,[0_1|2]), (620,514,[0_1|2]), (620,568,[0_1|2]), (620,153,[0_1|2]), (620,162,[1_1|2]), (620,171,[0_1|2]), (620,180,[0_1|2]), (620,189,[0_1|2]), (620,198,[0_1|2]), (621,622,[3_1|3]), (622,623,[4_1|3]), (623,624,[4_1|3]), (624,625,[1_1|3]), (625,626,[4_1|3]), (626,627,[1_1|3]), (627,628,[0_1|3]), (628,629,[1_1|3]), (629,255,[0_1|3]), (630,631,[2_1|3]), (631,632,[3_1|3]), (632,633,[2_1|3]), (633,634,[2_1|3]), (634,635,[0_1|3]), (635,636,[0_1|3]), (636,637,[5_1|3]), (637,638,[3_1|3]), (638,255,[2_1|3]), (639,640,[2_1|3]), (640,641,[3_1|3]), (641,642,[3_1|3]), (642,643,[2_1|3]), (643,644,[0_1|3]), (644,645,[1_1|3]), (645,646,[0_1|3]), (646,647,[0_1|3]), (647,514,[2_1|3]), (647,568,[2_1|3]), (648,649,[0_1|3]), (649,650,[1_1|3]), (650,651,[5_1|3]), (651,652,[4_1|3]), (652,653,[3_1|3]), (653,654,[1_1|3]), (654,655,[3_1|3]), (655,656,[0_1|3]), (656,559,[2_1|3]), (656,586,[2_1|3]), (657,658,[5_1|3]), (658,659,[4_1|3]), (659,660,[2_1|3]), (660,661,[2_1|3]), (661,662,[4_1|3]), (662,663,[2_1|3]), (663,664,[2_1|3]), (664,665,[4_1|3]), (665,487,[2_1|3]), (666,667,[3_1|3]), (667,668,[4_1|3]), (668,669,[4_1|3]), (669,670,[1_1|3]), (670,671,[4_1|3]), (671,672,[1_1|3]), (672,673,[0_1|3]), (673,674,[1_1|3]), (674,306,[0_1|3]), (674,360,[0_1|3]), (674,523,[0_1|3])}" ---------------------------------------- (8) BOUNDS(1, n^1)