/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# AProVE Commit ID: 794c25de1cacf0d048858bcd21c9a779e1221865 marcel 20200619 unpublished dirty The Derivational Complexity (innermost) of the given DCpxTrs could be proven to be BOUNDS(1, n^1).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), 72 ms] (4) CpxRelTRS (5) RelTrsToTrsProof [UPPER BOUND(ID), 0 ms] (6) CpxTRS (7) CpxTrsMatchBoundsProof [FINISHED, 147 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(1(2(x1)))) -> 3(3(0(3(3(2(2(0(0(0(x1)))))))))) 5(4(4(0(x1)))) -> 2(3(1(0(0(3(3(3(4(0(x1)))))))))) 0(0(5(0(5(x1))))) -> 2(5(2(2(3(3(3(5(1(0(x1)))))))))) 0(4(1(5(5(x1))))) -> 2(1(3(5(2(2(3(3(2(5(x1)))))))))) 5(0(5(5(0(x1))))) -> 3(4(0(3(0(4(0(3(3(5(x1)))))))))) 5(0(5(5(5(x1))))) -> 5(1(3(0(3(3(1(3(1(2(x1)))))))))) 5(5(2(1(0(x1))))) -> 3(3(1(3(3(0(4(5(1(2(x1)))))))))) 0(1(0(5(5(2(x1)))))) -> 0(2(3(2(4(0(1(3(2(0(x1)))))))))) 0(2(1(5(5(2(x1)))))) -> 0(3(4(2(1(2(0(1(2(3(x1)))))))))) 0(4(0(5(3(1(x1)))))) -> 3(2(3(2(2(3(4(0(1(1(x1)))))))))) 0(4(0(5(3(4(x1)))))) -> 0(0(0(0(3(0(4(4(5(1(x1)))))))))) 0(4(4(4(5(4(x1)))))) -> 3(2(0(2(1(3(0(4(5(4(x1)))))))))) 0(5(4(5(5(5(x1)))))) -> 3(3(4(3(1(4(4(3(3(5(x1)))))))))) 1(1(1(5(3(4(x1)))))) -> 1(5(1(3(3(3(2(0(4(4(x1)))))))))) 1(1(4(1(5(5(x1)))))) -> 4(2(3(0(4(4(1(0(0(4(x1)))))))))) 2(1(1(1(4(5(x1)))))) -> 2(0(4(2(0(3(3(2(1(5(x1)))))))))) 3(1(1(1(5(4(x1)))))) -> 3(3(5(4(1(5(1(3(5(4(x1)))))))))) 4(4(0(5(5(2(x1)))))) -> 0(1(2(2(0(2(0(1(4(2(x1)))))))))) 4(4(1(1(5(0(x1)))))) -> 4(0(3(2(2(1(1(0(4(0(x1)))))))))) 4(4(4(0(5(0(x1)))))) -> 3(4(0(0(1(3(4(2(3(2(x1)))))))))) 5(0(5(5(3(1(x1)))))) -> 5(0(5(1(3(0(0(3(0(1(x1)))))))))) 5(5(1(1(0(3(x1)))))) -> 3(3(0(2(5(1(3(3(2(3(x1)))))))))) 0(2(2(5(4(5(2(x1))))))) -> 3(2(2(3(5(2(0(3(2(2(x1)))))))))) 0(4(5(2(1(5(0(x1))))))) -> 0(2(3(2(0(1(5(4(1(2(x1)))))))))) 0(5(0(5(5(0(0(x1))))))) -> 0(2(4(0(3(0(3(5(4(0(x1)))))))))) 0(5(4(3(5(2(4(x1))))))) -> 0(3(1(3(0(0(4(3(2(4(x1)))))))))) 0(5(5(5(1(5(5(x1))))))) -> 0(1(0(1(3(5(1(3(2(5(x1)))))))))) 1(0(0(5(0(1(3(x1))))))) -> 1(2(0(3(3(4(0(2(1(3(x1)))))))))) 1(5(5(5(2(2(0(x1))))))) -> 3(0(4(2(0(2(1(0(3(2(x1)))))))))) 2(1(0(4(5(5(2(x1))))))) -> 4(3(3(2(1(2(4(1(2(3(x1)))))))))) 2(1(1(5(5(5(0(x1))))))) -> 3(3(4(5(3(2(1(4(3(0(x1)))))))))) 2(1(5(3(4(4(0(x1))))))) -> 4(3(2(3(0(1(3(4(3(0(x1)))))))))) 2(1(5(5(3(4(4(x1))))))) -> 3(3(1(3(3(1(5(5(4(4(x1)))))))))) 4(1(1(3(1(0(2(x1))))))) -> 4(2(3(5(2(2(0(0(0(0(x1)))))))))) 4(1(5(0(5(1(4(x1))))))) -> 0(1(0(1(1(0(0(0(0(1(x1)))))))))) 4(4(4(1(1(5(3(x1))))))) -> 4(4(2(5(3(3(4(3(3(2(x1)))))))))) 4(4(4(5(5(5(0(x1))))))) -> 0(4(0(4(1(3(0(4(3(2(x1)))))))))) 4(5(5(1(1(3(4(x1))))))) -> 0(2(3(2(0(4(4(5(2(4(x1)))))))))) 5(2(0(5(4(0(5(x1))))))) -> 3(3(0(4(3(1(5(2(3(2(x1)))))))))) 5(2(4(5(3(4(4(x1))))))) -> 2(0(5(2(3(3(5(1(3(4(x1)))))))))) 5(3(1(5(4(4(0(x1))))))) -> 1(0(3(2(1(3(1(0(4(0(x1)))))))))) 5(4(4(0(4(5(0(x1))))))) -> 2(3(5(2(2(5(0(4(3(0(x1)))))))))) 5(5(2(2(1(1(5(x1))))))) -> 3(3(4(2(3(1(1(3(2(4(x1)))))))))) 5(5(2(5(1(4(0(x1))))))) -> 4(3(1(3(2(0(0(4(3(2(x1)))))))))) 5(5(5(0(0(1(3(x1))))))) -> 5(4(1(2(3(0(0(1(1(3(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_5(x_1)) -> 5(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)) 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(1(2(x1)))) -> 3(3(0(3(3(2(2(0(0(0(x1)))))))))) 5(4(4(0(x1)))) -> 2(3(1(0(0(3(3(3(4(0(x1)))))))))) 0(0(5(0(5(x1))))) -> 2(5(2(2(3(3(3(5(1(0(x1)))))))))) 0(4(1(5(5(x1))))) -> 2(1(3(5(2(2(3(3(2(5(x1)))))))))) 5(0(5(5(0(x1))))) -> 3(4(0(3(0(4(0(3(3(5(x1)))))))))) 5(0(5(5(5(x1))))) -> 5(1(3(0(3(3(1(3(1(2(x1)))))))))) 5(5(2(1(0(x1))))) -> 3(3(1(3(3(0(4(5(1(2(x1)))))))))) 0(1(0(5(5(2(x1)))))) -> 0(2(3(2(4(0(1(3(2(0(x1)))))))))) 0(2(1(5(5(2(x1)))))) -> 0(3(4(2(1(2(0(1(2(3(x1)))))))))) 0(4(0(5(3(1(x1)))))) -> 3(2(3(2(2(3(4(0(1(1(x1)))))))))) 0(4(0(5(3(4(x1)))))) -> 0(0(0(0(3(0(4(4(5(1(x1)))))))))) 0(4(4(4(5(4(x1)))))) -> 3(2(0(2(1(3(0(4(5(4(x1)))))))))) 0(5(4(5(5(5(x1)))))) -> 3(3(4(3(1(4(4(3(3(5(x1)))))))))) 1(1(1(5(3(4(x1)))))) -> 1(5(1(3(3(3(2(0(4(4(x1)))))))))) 1(1(4(1(5(5(x1)))))) -> 4(2(3(0(4(4(1(0(0(4(x1)))))))))) 2(1(1(1(4(5(x1)))))) -> 2(0(4(2(0(3(3(2(1(5(x1)))))))))) 3(1(1(1(5(4(x1)))))) -> 3(3(5(4(1(5(1(3(5(4(x1)))))))))) 4(4(0(5(5(2(x1)))))) -> 0(1(2(2(0(2(0(1(4(2(x1)))))))))) 4(4(1(1(5(0(x1)))))) -> 4(0(3(2(2(1(1(0(4(0(x1)))))))))) 4(4(4(0(5(0(x1)))))) -> 3(4(0(0(1(3(4(2(3(2(x1)))))))))) 5(0(5(5(3(1(x1)))))) -> 5(0(5(1(3(0(0(3(0(1(x1)))))))))) 5(5(1(1(0(3(x1)))))) -> 3(3(0(2(5(1(3(3(2(3(x1)))))))))) 0(2(2(5(4(5(2(x1))))))) -> 3(2(2(3(5(2(0(3(2(2(x1)))))))))) 0(4(5(2(1(5(0(x1))))))) -> 0(2(3(2(0(1(5(4(1(2(x1)))))))))) 0(5(0(5(5(0(0(x1))))))) -> 0(2(4(0(3(0(3(5(4(0(x1)))))))))) 0(5(4(3(5(2(4(x1))))))) -> 0(3(1(3(0(0(4(3(2(4(x1)))))))))) 0(5(5(5(1(5(5(x1))))))) -> 0(1(0(1(3(5(1(3(2(5(x1)))))))))) 1(0(0(5(0(1(3(x1))))))) -> 1(2(0(3(3(4(0(2(1(3(x1)))))))))) 1(5(5(5(2(2(0(x1))))))) -> 3(0(4(2(0(2(1(0(3(2(x1)))))))))) 2(1(0(4(5(5(2(x1))))))) -> 4(3(3(2(1(2(4(1(2(3(x1)))))))))) 2(1(1(5(5(5(0(x1))))))) -> 3(3(4(5(3(2(1(4(3(0(x1)))))))))) 2(1(5(3(4(4(0(x1))))))) -> 4(3(2(3(0(1(3(4(3(0(x1)))))))))) 2(1(5(5(3(4(4(x1))))))) -> 3(3(1(3(3(1(5(5(4(4(x1)))))))))) 4(1(1(3(1(0(2(x1))))))) -> 4(2(3(5(2(2(0(0(0(0(x1)))))))))) 4(1(5(0(5(1(4(x1))))))) -> 0(1(0(1(1(0(0(0(0(1(x1)))))))))) 4(4(4(1(1(5(3(x1))))))) -> 4(4(2(5(3(3(4(3(3(2(x1)))))))))) 4(4(4(5(5(5(0(x1))))))) -> 0(4(0(4(1(3(0(4(3(2(x1)))))))))) 4(5(5(1(1(3(4(x1))))))) -> 0(2(3(2(0(4(4(5(2(4(x1)))))))))) 5(2(0(5(4(0(5(x1))))))) -> 3(3(0(4(3(1(5(2(3(2(x1)))))))))) 5(2(4(5(3(4(4(x1))))))) -> 2(0(5(2(3(3(5(1(3(4(x1)))))))))) 5(3(1(5(4(4(0(x1))))))) -> 1(0(3(2(1(3(1(0(4(0(x1)))))))))) 5(4(4(0(4(5(0(x1))))))) -> 2(3(5(2(2(5(0(4(3(0(x1)))))))))) 5(5(2(2(1(1(5(x1))))))) -> 3(3(4(2(3(1(1(3(2(4(x1)))))))))) 5(5(2(5(1(4(0(x1))))))) -> 4(3(1(3(2(0(0(4(3(2(x1)))))))))) 5(5(5(0(0(1(3(x1))))))) -> 5(4(1(2(3(0(0(1(1(3(x1)))))))))) The (relative) TRS S consists of the following rules: encArg(cons_0(x_1)) -> 0(encArg(x_1)) encArg(cons_5(x_1)) -> 5(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)) 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(1(2(x1)))) -> 3(3(0(3(3(2(2(0(0(0(x1)))))))))) 5(4(4(0(x1)))) -> 2(3(1(0(0(3(3(3(4(0(x1)))))))))) 0(0(5(0(5(x1))))) -> 2(5(2(2(3(3(3(5(1(0(x1)))))))))) 0(4(1(5(5(x1))))) -> 2(1(3(5(2(2(3(3(2(5(x1)))))))))) 5(0(5(5(0(x1))))) -> 3(4(0(3(0(4(0(3(3(5(x1)))))))))) 5(0(5(5(5(x1))))) -> 5(1(3(0(3(3(1(3(1(2(x1)))))))))) 5(5(2(1(0(x1))))) -> 3(3(1(3(3(0(4(5(1(2(x1)))))))))) 0(1(0(5(5(2(x1)))))) -> 0(2(3(2(4(0(1(3(2(0(x1)))))))))) 0(2(1(5(5(2(x1)))))) -> 0(3(4(2(1(2(0(1(2(3(x1)))))))))) 0(4(0(5(3(1(x1)))))) -> 3(2(3(2(2(3(4(0(1(1(x1)))))))))) 0(4(0(5(3(4(x1)))))) -> 0(0(0(0(3(0(4(4(5(1(x1)))))))))) 0(4(4(4(5(4(x1)))))) -> 3(2(0(2(1(3(0(4(5(4(x1)))))))))) 0(5(4(5(5(5(x1)))))) -> 3(3(4(3(1(4(4(3(3(5(x1)))))))))) 1(1(1(5(3(4(x1)))))) -> 1(5(1(3(3(3(2(0(4(4(x1)))))))))) 1(1(4(1(5(5(x1)))))) -> 4(2(3(0(4(4(1(0(0(4(x1)))))))))) 2(1(1(1(4(5(x1)))))) -> 2(0(4(2(0(3(3(2(1(5(x1)))))))))) 3(1(1(1(5(4(x1)))))) -> 3(3(5(4(1(5(1(3(5(4(x1)))))))))) 4(4(0(5(5(2(x1)))))) -> 0(1(2(2(0(2(0(1(4(2(x1)))))))))) 4(4(1(1(5(0(x1)))))) -> 4(0(3(2(2(1(1(0(4(0(x1)))))))))) 4(4(4(0(5(0(x1)))))) -> 3(4(0(0(1(3(4(2(3(2(x1)))))))))) 5(0(5(5(3(1(x1)))))) -> 5(0(5(1(3(0(0(3(0(1(x1)))))))))) 5(5(1(1(0(3(x1)))))) -> 3(3(0(2(5(1(3(3(2(3(x1)))))))))) 0(2(2(5(4(5(2(x1))))))) -> 3(2(2(3(5(2(0(3(2(2(x1)))))))))) 0(4(5(2(1(5(0(x1))))))) -> 0(2(3(2(0(1(5(4(1(2(x1)))))))))) 0(5(0(5(5(0(0(x1))))))) -> 0(2(4(0(3(0(3(5(4(0(x1)))))))))) 0(5(4(3(5(2(4(x1))))))) -> 0(3(1(3(0(0(4(3(2(4(x1)))))))))) 0(5(5(5(1(5(5(x1))))))) -> 0(1(0(1(3(5(1(3(2(5(x1)))))))))) 1(0(0(5(0(1(3(x1))))))) -> 1(2(0(3(3(4(0(2(1(3(x1)))))))))) 1(5(5(5(2(2(0(x1))))))) -> 3(0(4(2(0(2(1(0(3(2(x1)))))))))) 2(1(0(4(5(5(2(x1))))))) -> 4(3(3(2(1(2(4(1(2(3(x1)))))))))) 2(1(1(5(5(5(0(x1))))))) -> 3(3(4(5(3(2(1(4(3(0(x1)))))))))) 2(1(5(3(4(4(0(x1))))))) -> 4(3(2(3(0(1(3(4(3(0(x1)))))))))) 2(1(5(5(3(4(4(x1))))))) -> 3(3(1(3(3(1(5(5(4(4(x1)))))))))) 4(1(1(3(1(0(2(x1))))))) -> 4(2(3(5(2(2(0(0(0(0(x1)))))))))) 4(1(5(0(5(1(4(x1))))))) -> 0(1(0(1(1(0(0(0(0(1(x1)))))))))) 4(4(4(1(1(5(3(x1))))))) -> 4(4(2(5(3(3(4(3(3(2(x1)))))))))) 4(4(4(5(5(5(0(x1))))))) -> 0(4(0(4(1(3(0(4(3(2(x1)))))))))) 4(5(5(1(1(3(4(x1))))))) -> 0(2(3(2(0(4(4(5(2(4(x1)))))))))) 5(2(0(5(4(0(5(x1))))))) -> 3(3(0(4(3(1(5(2(3(2(x1)))))))))) 5(2(4(5(3(4(4(x1))))))) -> 2(0(5(2(3(3(5(1(3(4(x1)))))))))) 5(3(1(5(4(4(0(x1))))))) -> 1(0(3(2(1(3(1(0(4(0(x1)))))))))) 5(4(4(0(4(5(0(x1))))))) -> 2(3(5(2(2(5(0(4(3(0(x1)))))))))) 5(5(2(2(1(1(5(x1))))))) -> 3(3(4(2(3(1(1(3(2(4(x1)))))))))) 5(5(2(5(1(4(0(x1))))))) -> 4(3(1(3(2(0(0(4(3(2(x1)))))))))) 5(5(5(0(0(1(3(x1))))))) -> 5(4(1(2(3(0(0(1(1(3(x1)))))))))) The (relative) TRS S consists of the following rules: encArg(cons_0(x_1)) -> 0(encArg(x_1)) encArg(cons_5(x_1)) -> 5(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)) 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(1(2(x1)))) -> 3(3(0(3(3(2(2(0(0(0(x1)))))))))) 5(4(4(0(x1)))) -> 2(3(1(0(0(3(3(3(4(0(x1)))))))))) 0(0(5(0(5(x1))))) -> 2(5(2(2(3(3(3(5(1(0(x1)))))))))) 0(4(1(5(5(x1))))) -> 2(1(3(5(2(2(3(3(2(5(x1)))))))))) 5(0(5(5(0(x1))))) -> 3(4(0(3(0(4(0(3(3(5(x1)))))))))) 5(0(5(5(5(x1))))) -> 5(1(3(0(3(3(1(3(1(2(x1)))))))))) 5(5(2(1(0(x1))))) -> 3(3(1(3(3(0(4(5(1(2(x1)))))))))) 0(1(0(5(5(2(x1)))))) -> 0(2(3(2(4(0(1(3(2(0(x1)))))))))) 0(2(1(5(5(2(x1)))))) -> 0(3(4(2(1(2(0(1(2(3(x1)))))))))) 0(4(0(5(3(1(x1)))))) -> 3(2(3(2(2(3(4(0(1(1(x1)))))))))) 0(4(0(5(3(4(x1)))))) -> 0(0(0(0(3(0(4(4(5(1(x1)))))))))) 0(4(4(4(5(4(x1)))))) -> 3(2(0(2(1(3(0(4(5(4(x1)))))))))) 0(5(4(5(5(5(x1)))))) -> 3(3(4(3(1(4(4(3(3(5(x1)))))))))) 1(1(1(5(3(4(x1)))))) -> 1(5(1(3(3(3(2(0(4(4(x1)))))))))) 1(1(4(1(5(5(x1)))))) -> 4(2(3(0(4(4(1(0(0(4(x1)))))))))) 2(1(1(1(4(5(x1)))))) -> 2(0(4(2(0(3(3(2(1(5(x1)))))))))) 3(1(1(1(5(4(x1)))))) -> 3(3(5(4(1(5(1(3(5(4(x1)))))))))) 4(4(0(5(5(2(x1)))))) -> 0(1(2(2(0(2(0(1(4(2(x1)))))))))) 4(4(1(1(5(0(x1)))))) -> 4(0(3(2(2(1(1(0(4(0(x1)))))))))) 4(4(4(0(5(0(x1)))))) -> 3(4(0(0(1(3(4(2(3(2(x1)))))))))) 5(0(5(5(3(1(x1)))))) -> 5(0(5(1(3(0(0(3(0(1(x1)))))))))) 5(5(1(1(0(3(x1)))))) -> 3(3(0(2(5(1(3(3(2(3(x1)))))))))) 0(2(2(5(4(5(2(x1))))))) -> 3(2(2(3(5(2(0(3(2(2(x1)))))))))) 0(4(5(2(1(5(0(x1))))))) -> 0(2(3(2(0(1(5(4(1(2(x1)))))))))) 0(5(0(5(5(0(0(x1))))))) -> 0(2(4(0(3(0(3(5(4(0(x1)))))))))) 0(5(4(3(5(2(4(x1))))))) -> 0(3(1(3(0(0(4(3(2(4(x1)))))))))) 0(5(5(5(1(5(5(x1))))))) -> 0(1(0(1(3(5(1(3(2(5(x1)))))))))) 1(0(0(5(0(1(3(x1))))))) -> 1(2(0(3(3(4(0(2(1(3(x1)))))))))) 1(5(5(5(2(2(0(x1))))))) -> 3(0(4(2(0(2(1(0(3(2(x1)))))))))) 2(1(0(4(5(5(2(x1))))))) -> 4(3(3(2(1(2(4(1(2(3(x1)))))))))) 2(1(1(5(5(5(0(x1))))))) -> 3(3(4(5(3(2(1(4(3(0(x1)))))))))) 2(1(5(3(4(4(0(x1))))))) -> 4(3(2(3(0(1(3(4(3(0(x1)))))))))) 2(1(5(5(3(4(4(x1))))))) -> 3(3(1(3(3(1(5(5(4(4(x1)))))))))) 4(1(1(3(1(0(2(x1))))))) -> 4(2(3(5(2(2(0(0(0(0(x1)))))))))) 4(1(5(0(5(1(4(x1))))))) -> 0(1(0(1(1(0(0(0(0(1(x1)))))))))) 4(4(4(1(1(5(3(x1))))))) -> 4(4(2(5(3(3(4(3(3(2(x1)))))))))) 4(4(4(5(5(5(0(x1))))))) -> 0(4(0(4(1(3(0(4(3(2(x1)))))))))) 4(5(5(1(1(3(4(x1))))))) -> 0(2(3(2(0(4(4(5(2(4(x1)))))))))) 5(2(0(5(4(0(5(x1))))))) -> 3(3(0(4(3(1(5(2(3(2(x1)))))))))) 5(2(4(5(3(4(4(x1))))))) -> 2(0(5(2(3(3(5(1(3(4(x1)))))))))) 5(3(1(5(4(4(0(x1))))))) -> 1(0(3(2(1(3(1(0(4(0(x1)))))))))) 5(4(4(0(4(5(0(x1))))))) -> 2(3(5(2(2(5(0(4(3(0(x1)))))))))) 5(5(2(2(1(1(5(x1))))))) -> 3(3(4(2(3(1(1(3(2(4(x1)))))))))) 5(5(2(5(1(4(0(x1))))))) -> 4(3(1(3(2(0(0(4(3(2(x1)))))))))) 5(5(5(0(0(1(3(x1))))))) -> 5(4(1(2(3(0(0(1(1(3(x1)))))))))) encArg(cons_0(x_1)) -> 0(encArg(x_1)) encArg(cons_5(x_1)) -> 5(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)) 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. "[83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 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, 531, 532, 533, 534, 535, 536, 537, 538, 539, 553, 554, 555, 556, 557, 558, 559, 560, 561] {(83,84,[0_1|0, 5_1|0, 1_1|0, 2_1|0, 3_1|0, 4_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]), (83,85,[0_1|1, 5_1|1, 1_1|1, 2_1|1, 3_1|1, 4_1|1]), (83,86,[3_1|2]), (83,95,[0_1|2]), (83,104,[2_1|2]), (83,113,[2_1|2]), (83,122,[3_1|2]), (83,131,[0_1|2]), (83,140,[3_1|2]), (83,149,[0_1|2]), (83,158,[0_1|2]), (83,167,[3_1|2]), (83,176,[3_1|2]), (83,185,[0_1|2]), (83,194,[0_1|2]), (83,203,[0_1|2]), (83,212,[2_1|2]), (83,221,[2_1|2]), (83,230,[3_1|2]), (83,239,[5_1|2]), (83,248,[5_1|2]), (83,257,[3_1|2]), (83,266,[3_1|2]), (83,275,[4_1|2]), (83,284,[3_1|2]), (83,293,[5_1|2]), (83,302,[3_1|2]), (83,311,[2_1|2]), (83,320,[1_1|2]), (83,329,[1_1|2]), (83,338,[4_1|2]), (83,347,[1_1|2]), 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(301,230,[3_1|2]), (301,257,[3_1|2]), (301,266,[3_1|2]), (301,284,[3_1|2]), (301,302,[3_1|2]), (301,356,[3_1|2]), (301,374,[3_1|2]), (301,401,[3_1|2]), (301,410,[3_1|2]), (301,437,[3_1|2]), (302,303,[3_1|2]), (303,304,[0_1|2]), (304,305,[4_1|2]), (305,306,[3_1|2]), (306,307,[1_1|2]), (307,308,[5_1|2]), (308,309,[2_1|2]), (309,310,[3_1|2]), (310,85,[2_1|2]), (310,239,[2_1|2]), (310,248,[2_1|2]), (310,293,[2_1|2]), (310,365,[2_1|2]), (310,374,[3_1|2]), (310,383,[4_1|2]), (310,392,[4_1|2]), (310,401,[3_1|2]), (311,312,[0_1|2]), (312,313,[5_1|2]), (313,314,[2_1|2]), (314,315,[3_1|2]), (315,316,[3_1|2]), (316,317,[5_1|2]), (317,318,[1_1|2]), (318,319,[3_1|2]), (319,85,[4_1|2]), (319,275,[4_1|2]), (319,338,[4_1|2]), (319,383,[4_1|2]), (319,392,[4_1|2]), (319,428,[4_1|2]), (319,446,[4_1|2]), (319,464,[4_1|2]), (319,447,[4_1|2]), (319,419,[0_1|2]), (319,437,[3_1|2]), (319,455,[0_1|2]), (319,473,[0_1|2]), (319,482,[0_1|2]), (320,321,[0_1|2]), (321,322,[3_1|2]), (322,323,[2_1|2]), (323,324,[1_1|2]), (324,325,[3_1|2]), (325,326,[1_1|2]), (326,327,[0_1|2]), (326,122,[3_1|2]), (326,131,[0_1|2]), (327,328,[4_1|2]), (328,85,[0_1|2]), (328,95,[0_1|2]), (328,131,[0_1|2]), (328,149,[0_1|2]), (328,158,[0_1|2]), (328,185,[0_1|2]), (328,194,[0_1|2]), (328,203,[0_1|2]), (328,419,[0_1|2]), (328,455,[0_1|2]), (328,473,[0_1|2]), (328,482,[0_1|2]), (328,429,[0_1|2]), (328,86,[3_1|2]), (328,104,[2_1|2]), (328,113,[2_1|2]), (328,122,[3_1|2]), (328,140,[3_1|2]), (328,167,[3_1|2]), (328,176,[3_1|2]), (329,330,[5_1|2]), (330,331,[1_1|2]), (331,332,[3_1|2]), (332,333,[3_1|2]), (333,334,[3_1|2]), (334,335,[2_1|2]), (335,336,[0_1|2]), (335,140,[3_1|2]), (336,337,[4_1|2]), (336,419,[0_1|2]), (336,428,[4_1|2]), (336,437,[3_1|2]), (336,446,[4_1|2]), (336,455,[0_1|2]), (337,85,[4_1|2]), (337,275,[4_1|2]), (337,338,[4_1|2]), (337,383,[4_1|2]), (337,392,[4_1|2]), (337,428,[4_1|2]), (337,446,[4_1|2]), (337,464,[4_1|2]), (337,231,[4_1|2]), (337,438,[4_1|2]), (337,419,[0_1|2]), (337,437,[3_1|2]), (337,455,[0_1|2]), (337,473,[0_1|2]), (337,482,[0_1|2]), (338,339,[2_1|2]), (339,340,[3_1|2]), (340,341,[0_1|2]), (341,342,[4_1|2]), (342,343,[4_1|2]), (343,344,[1_1|2]), (344,345,[0_1|2]), (345,346,[0_1|2]), (345,113,[2_1|2]), (345,122,[3_1|2]), (345,131,[0_1|2]), (345,140,[3_1|2]), (345,149,[0_1|2]), (346,85,[4_1|2]), (346,239,[4_1|2]), (346,248,[4_1|2]), (346,293,[4_1|2]), (346,419,[0_1|2]), (346,428,[4_1|2]), (346,437,[3_1|2]), (346,446,[4_1|2]), (346,455,[0_1|2]), (346,464,[4_1|2]), (346,473,[0_1|2]), (346,482,[0_1|2]), (347,348,[2_1|2]), (348,349,[0_1|2]), (349,350,[3_1|2]), (350,351,[3_1|2]), (351,352,[4_1|2]), (352,353,[0_1|2]), (353,354,[2_1|2]), (354,355,[1_1|2]), (355,85,[3_1|2]), (355,86,[3_1|2]), (355,122,[3_1|2]), (355,140,[3_1|2]), (355,167,[3_1|2]), (355,176,[3_1|2]), (355,230,[3_1|2]), (355,257,[3_1|2]), (355,266,[3_1|2]), (355,284,[3_1|2]), (355,302,[3_1|2]), (355,356,[3_1|2]), (355,374,[3_1|2]), (355,401,[3_1|2]), (355,410,[3_1|2]), (355,437,[3_1|2]), (356,357,[0_1|2]), (357,358,[4_1|2]), (358,359,[2_1|2]), (359,360,[0_1|2]), (360,361,[2_1|2]), (361,362,[1_1|2]), (362,363,[0_1|2]), (363,364,[3_1|2]), (364,85,[2_1|2]), (364,95,[2_1|2]), (364,131,[2_1|2]), (364,149,[2_1|2]), (364,158,[2_1|2]), (364,185,[2_1|2]), (364,194,[2_1|2]), (364,203,[2_1|2]), (364,419,[2_1|2]), (364,455,[2_1|2]), (364,473,[2_1|2]), (364,482,[2_1|2]), (364,312,[2_1|2]), (364,366,[2_1|2]), (364,365,[2_1|2]), (364,374,[3_1|2]), (364,383,[4_1|2]), (364,392,[4_1|2]), (364,401,[3_1|2]), (365,366,[0_1|2]), (366,367,[4_1|2]), (367,368,[2_1|2]), (368,369,[0_1|2]), (369,370,[3_1|2]), (370,371,[3_1|2]), (371,372,[2_1|2]), (371,392,[4_1|2]), (371,401,[3_1|2]), (372,373,[1_1|2]), (372,356,[3_1|2]), (373,85,[5_1|2]), (373,239,[5_1|2]), (373,248,[5_1|2]), (373,293,[5_1|2]), (373,212,[2_1|2]), (373,221,[2_1|2]), (373,230,[3_1|2]), (373,257,[3_1|2]), (373,266,[3_1|2]), (373,275,[4_1|2]), (373,284,[3_1|2]), (373,302,[3_1|2]), (373,311,[2_1|2]), (373,320,[1_1|2]), (374,375,[3_1|2]), (375,376,[4_1|2]), (376,377,[5_1|2]), (377,378,[3_1|2]), (378,379,[2_1|2]), (379,380,[1_1|2]), (380,381,[4_1|2]), (381,382,[3_1|2]), (382,85,[0_1|2]), (382,95,[0_1|2]), (382,131,[0_1|2]), (382,149,[0_1|2]), (382,158,[0_1|2]), (382,185,[0_1|2]), (382,194,[0_1|2]), (382,203,[0_1|2]), (382,419,[0_1|2]), (382,455,[0_1|2]), (382,473,[0_1|2]), (382,482,[0_1|2]), (382,249,[0_1|2]), (382,86,[3_1|2]), (382,104,[2_1|2]), (382,113,[2_1|2]), (382,122,[3_1|2]), (382,140,[3_1|2]), (382,167,[3_1|2]), (382,176,[3_1|2]), (383,384,[3_1|2]), (384,385,[3_1|2]), (385,386,[2_1|2]), (386,387,[1_1|2]), (387,388,[2_1|2]), (388,389,[4_1|2]), (389,390,[1_1|2]), (390,391,[2_1|2]), (391,85,[3_1|2]), (391,104,[3_1|2]), (391,113,[3_1|2]), (391,212,[3_1|2]), (391,221,[3_1|2]), (391,311,[3_1|2]), (391,365,[3_1|2]), (391,410,[3_1|2]), (392,393,[3_1|2]), (393,394,[2_1|2]), (394,395,[3_1|2]), (395,396,[0_1|2]), (396,397,[1_1|2]), (397,398,[3_1|2]), (398,399,[4_1|2]), (399,400,[3_1|2]), (400,85,[0_1|2]), (400,95,[0_1|2]), (400,131,[0_1|2]), (400,149,[0_1|2]), (400,158,[0_1|2]), (400,185,[0_1|2]), (400,194,[0_1|2]), (400,203,[0_1|2]), (400,419,[0_1|2]), (400,455,[0_1|2]), (400,473,[0_1|2]), (400,482,[0_1|2]), (400,429,[0_1|2]), (400,86,[3_1|2]), (400,104,[2_1|2]), (400,113,[2_1|2]), (400,122,[3_1|2]), (400,140,[3_1|2]), (400,167,[3_1|2]), (400,176,[3_1|2]), (401,402,[3_1|2]), (402,403,[1_1|2]), (403,404,[3_1|2]), (404,405,[3_1|2]), (405,406,[1_1|2]), (406,407,[5_1|2]), (407,408,[5_1|2]), (407,212,[2_1|2]), (407,221,[2_1|2]), (407,553,[2_1|3]), (408,409,[4_1|2]), (408,419,[0_1|2]), (408,428,[4_1|2]), (408,437,[3_1|2]), (408,446,[4_1|2]), (408,455,[0_1|2]), (409,85,[4_1|2]), (409,275,[4_1|2]), (409,338,[4_1|2]), (409,383,[4_1|2]), (409,392,[4_1|2]), (409,428,[4_1|2]), (409,446,[4_1|2]), (409,464,[4_1|2]), (409,447,[4_1|2]), (409,419,[0_1|2]), (409,437,[3_1|2]), (409,455,[0_1|2]), (409,473,[0_1|2]), (409,482,[0_1|2]), (410,411,[3_1|2]), (411,412,[5_1|2]), (412,413,[4_1|2]), (413,414,[1_1|2]), (414,415,[5_1|2]), (415,416,[1_1|2]), (416,417,[3_1|2]), (417,418,[5_1|2]), (417,212,[2_1|2]), (417,221,[2_1|2]), (417,509,[2_1|3]), (418,85,[4_1|2]), (418,275,[4_1|2]), (418,338,[4_1|2]), (418,383,[4_1|2]), (418,392,[4_1|2]), (418,428,[4_1|2]), (418,446,[4_1|2]), (418,464,[4_1|2]), (418,294,[4_1|2]), (418,419,[0_1|2]), (418,437,[3_1|2]), (418,455,[0_1|2]), (418,473,[0_1|2]), (418,482,[0_1|2]), (419,420,[1_1|2]), (420,421,[2_1|2]), (421,422,[2_1|2]), (422,423,[0_1|2]), (423,424,[2_1|2]), (424,425,[0_1|2]), (425,426,[1_1|2]), (426,427,[4_1|2]), (427,85,[2_1|2]), (427,104,[2_1|2]), (427,113,[2_1|2]), (427,212,[2_1|2]), (427,221,[2_1|2]), (427,311,[2_1|2]), (427,365,[2_1|2]), (427,374,[3_1|2]), (427,383,[4_1|2]), (427,392,[4_1|2]), (427,401,[3_1|2]), (428,429,[0_1|2]), (429,430,[3_1|2]), (430,431,[2_1|2]), (431,432,[2_1|2]), (432,433,[1_1|2]), (433,434,[1_1|2]), (434,435,[0_1|2]), (434,122,[3_1|2]), (434,131,[0_1|2]), (435,436,[4_1|2]), (436,85,[0_1|2]), (436,95,[0_1|2]), (436,131,[0_1|2]), (436,149,[0_1|2]), (436,158,[0_1|2]), (436,185,[0_1|2]), (436,194,[0_1|2]), (436,203,[0_1|2]), (436,419,[0_1|2]), (436,455,[0_1|2]), (436,473,[0_1|2]), (436,482,[0_1|2]), (436,249,[0_1|2]), (436,86,[3_1|2]), (436,104,[2_1|2]), (436,113,[2_1|2]), (436,122,[3_1|2]), (436,140,[3_1|2]), (436,167,[3_1|2]), (436,176,[3_1|2]), (437,438,[4_1|2]), (438,439,[0_1|2]), (439,440,[0_1|2]), (440,441,[1_1|2]), (441,442,[3_1|2]), (442,443,[4_1|2]), (443,444,[2_1|2]), (444,445,[3_1|2]), (445,85,[2_1|2]), (445,95,[2_1|2]), (445,131,[2_1|2]), (445,149,[2_1|2]), (445,158,[2_1|2]), (445,185,[2_1|2]), (445,194,[2_1|2]), (445,203,[2_1|2]), (445,419,[2_1|2]), (445,455,[2_1|2]), (445,473,[2_1|2]), (445,482,[2_1|2]), (445,249,[2_1|2]), (445,365,[2_1|2]), (445,374,[3_1|2]), (445,383,[4_1|2]), (445,392,[4_1|2]), (445,401,[3_1|2]), (446,447,[4_1|2]), (447,448,[2_1|2]), (448,449,[5_1|2]), (449,450,[3_1|2]), (450,451,[3_1|2]), (451,452,[4_1|2]), (452,453,[3_1|2]), (453,454,[3_1|2]), (454,85,[2_1|2]), (454,86,[2_1|2]), (454,122,[2_1|2]), (454,140,[2_1|2]), (454,167,[2_1|2]), (454,176,[2_1|2]), (454,230,[2_1|2]), (454,257,[2_1|2]), (454,266,[2_1|2]), (454,284,[2_1|2]), (454,302,[2_1|2]), (454,356,[2_1|2]), (454,374,[2_1|2, 3_1|2]), (454,401,[2_1|2, 3_1|2]), (454,410,[2_1|2]), (454,437,[2_1|2]), (454,365,[2_1|2]), (454,383,[4_1|2]), (454,392,[4_1|2]), (455,456,[4_1|2]), (456,457,[0_1|2]), (457,458,[4_1|2]), (458,459,[1_1|2]), (459,460,[3_1|2]), (460,461,[0_1|2]), (461,462,[4_1|2]), (462,463,[3_1|2]), (463,85,[2_1|2]), (463,95,[2_1|2]), (463,131,[2_1|2]), (463,149,[2_1|2]), (463,158,[2_1|2]), (463,185,[2_1|2]), (463,194,[2_1|2]), (463,203,[2_1|2]), (463,419,[2_1|2]), (463,455,[2_1|2]), (463,473,[2_1|2]), (463,482,[2_1|2]), (463,249,[2_1|2]), (463,365,[2_1|2]), (463,374,[3_1|2]), (463,383,[4_1|2]), (463,392,[4_1|2]), (463,401,[3_1|2]), (464,465,[2_1|2]), (465,466,[3_1|2]), (466,467,[5_1|2]), (467,468,[2_1|2]), (468,469,[2_1|2]), (469,470,[0_1|2]), (470,471,[0_1|2]), (471,472,[0_1|2]), (471,104,[2_1|2]), (471,491,[2_1|3]), (472,85,[0_1|2]), (472,104,[0_1|2, 2_1|2]), (472,113,[0_1|2, 2_1|2]), (472,212,[0_1|2]), (472,221,[0_1|2]), (472,311,[0_1|2]), (472,365,[0_1|2]), (472,96,[0_1|2]), (472,150,[0_1|2]), (472,195,[0_1|2]), (472,483,[0_1|2]), (472,86,[3_1|2]), (472,95,[0_1|2]), (472,122,[3_1|2]), (472,131,[0_1|2]), (472,140,[3_1|2]), (472,149,[0_1|2]), (472,158,[0_1|2]), (472,167,[3_1|2]), (472,176,[3_1|2]), (472,185,[0_1|2]), (472,194,[0_1|2]), (472,203,[0_1|2]), (473,474,[1_1|2]), (474,475,[0_1|2]), (475,476,[1_1|2]), (476,477,[1_1|2]), (477,478,[0_1|2]), (478,479,[0_1|2]), (479,480,[0_1|2]), (480,481,[0_1|2]), (480,86,[3_1|2]), (480,95,[0_1|2]), (480,531,[3_1|3]), (481,85,[1_1|2]), (481,275,[1_1|2]), (481,338,[1_1|2, 4_1|2]), (481,383,[1_1|2]), (481,392,[1_1|2]), (481,428,[1_1|2]), (481,446,[1_1|2]), (481,464,[1_1|2]), (481,329,[1_1|2]), (481,347,[1_1|2]), (481,356,[3_1|2]), (482,483,[2_1|2]), (483,484,[3_1|2]), (484,485,[2_1|2]), (485,486,[0_1|2]), (486,487,[4_1|2]), (487,488,[4_1|2]), (488,489,[5_1|2]), (488,311,[2_1|2]), (489,490,[2_1|2]), (490,85,[4_1|2]), (490,275,[4_1|2]), (490,338,[4_1|2]), (490,383,[4_1|2]), (490,392,[4_1|2]), (490,428,[4_1|2]), (490,446,[4_1|2]), (490,464,[4_1|2]), (490,231,[4_1|2]), (490,438,[4_1|2]), (490,419,[0_1|2]), (490,437,[3_1|2]), (490,455,[0_1|2]), (490,473,[0_1|2]), (490,482,[0_1|2]), (491,492,[5_1|3]), (492,493,[2_1|3]), (493,494,[2_1|3]), (494,495,[3_1|3]), (495,496,[3_1|3]), (496,497,[3_1|3]), (497,498,[5_1|3]), (498,499,[1_1|3]), (499,250,[0_1|3]), (500,501,[3_1|3]), (501,502,[0_1|3]), (502,503,[3_1|3]), (503,504,[3_1|3]), (504,505,[2_1|3]), (505,506,[2_1|3]), (506,507,[0_1|3]), (507,508,[0_1|3]), (508,104,[0_1|3]), (508,113,[0_1|3]), (508,212,[0_1|3]), (508,221,[0_1|3]), (508,311,[0_1|3]), (508,365,[0_1|3]), (508,348,[0_1|3]), (509,510,[3_1|3]), (510,511,[1_1|3]), (511,512,[0_1|3]), (512,513,[0_1|3]), (513,514,[3_1|3]), (514,515,[3_1|3]), (515,516,[3_1|3]), (516,517,[4_1|3]), (517,429,[0_1|3]), (531,532,[3_1|3]), (532,533,[0_1|3]), (533,534,[3_1|3]), (534,535,[3_1|3]), (535,536,[2_1|3]), (536,537,[2_1|3]), (537,538,[0_1|3]), (538,539,[0_1|3]), (539,348,[0_1|3]), (553,554,[3_1|3]), (554,555,[1_1|3]), (555,556,[0_1|3]), (556,557,[0_1|3]), (557,558,[3_1|3]), (558,559,[3_1|3]), (559,560,[3_1|3]), (560,561,[4_1|3]), (561,95,[0_1|3]), (561,131,[0_1|3]), (561,149,[0_1|3]), (561,158,[0_1|3]), (561,185,[0_1|3]), (561,194,[0_1|3]), (561,203,[0_1|3]), (561,419,[0_1|3]), (561,455,[0_1|3]), (561,473,[0_1|3]), (561,482,[0_1|3]), (561,429,[0_1|3])}" ---------------------------------------- (8) BOUNDS(1, n^1)