/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# AProVE Commit ID: 794c25de1cacf0d048858bcd21c9a779e1221865 marcel 20200619 unpublished dirty The Derivational Complexity (innermost) of the given DCpxTrs could be proven to be BOUNDS(1, n^1).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), 65 ms] (4) CpxRelTRS (5) RelTrsToTrsProof [UPPER BOUND(ID), 0 ms] (6) CpxTRS (7) CpxTrsMatchBoundsProof [FINISHED, 237 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(3(x1))) -> 2(2(4(4(0(2(3(3(1(5(x1)))))))))) 3(4(0(x1))) -> 2(1(2(2(4(4(1(3(2(3(x1)))))))))) 3(4(0(4(x1)))) -> 1(3(1(3(2(4(2(2(4(5(x1)))))))))) 0(5(3(1(4(x1))))) -> 2(5(1(0(1(4(2(2(4(4(x1)))))))))) 3(3(4(5(5(x1))))) -> 3(1(2(0(1(3(0(0(5(5(x1)))))))))) 5(0(0(5(1(x1))))) -> 5(3(1(3(4(2(0(1(5(1(x1)))))))))) 5(0(4(5(4(x1))))) -> 1(1(2(3(1(2(3(4(5(4(x1)))))))))) 5(0(5(0(1(x1))))) -> 5(1(3(0(0(3(3(1(5(1(x1)))))))))) 5(1(5(5(4(x1))))) -> 2(4(2(0(2(3(1(5(5(4(x1)))))))))) 5(4(0(1(4(x1))))) -> 2(2(4(2(5(1(0(1(4(4(x1)))))))))) 5(4(5(0(0(x1))))) -> 3(2(2(1(3(5(5(1(3(0(x1)))))))))) 0(2(1(0(0(0(x1)))))) -> 0(1(3(1(3(1(3(5(3(2(x1)))))))))) 0(3(0(3(4(0(x1)))))) -> 1(1(1(3(2(1(2(5(1(5(x1)))))))))) 0(3(3(4(4(2(x1)))))) -> 0(2(1(2(2(2(0(0(1(2(x1)))))))))) 0(5(2(4(1(4(x1)))))) -> 1(5(3(2(1(3(1(4(1(4(x1)))))))))) 1(0(4(0(4(0(x1)))))) -> 1(4(2(2(2(5(3(1(3(3(x1)))))))))) 1(4(5(5(0(1(x1)))))) -> 1(4(1(2(4(2(1(3(3(1(x1)))))))))) 3(4(0(4(4(2(x1)))))) -> 1(2(3(2(2(4(0(4(0(1(x1)))))))))) 3(5(4(5(5(0(x1)))))) -> 3(1(0(0(4(3(1(4(1(3(x1)))))))))) 4(0(0(1(1(1(x1)))))) -> 3(1(2(1(1(2(1(3(1(1(x1)))))))))) 5(0(3(3(5(0(x1)))))) -> 5(2(2(0(2(5(1(2(1(3(x1)))))))))) 5(2(0(0(0(4(x1)))))) -> 5(5(3(2(2(5(2(3(0(4(x1)))))))))) 5(3(4(0(0(0(x1)))))) -> 5(3(3(1(2(2(5(1(3(0(x1)))))))))) 0(0(5(4(5(5(0(x1))))))) -> 0(1(1(5(2(2(2(3(4(3(x1)))))))))) 0(3(2(4(4(5(5(x1))))))) -> 1(1(1(3(0(3(1(3(0(5(x1)))))))))) 0(4(1(4(1(1(2(x1))))))) -> 3(2(1(3(5(2(1(1(2(2(x1)))))))))) 0(5(0(0(0(4(4(x1))))))) -> 2(2(3(1(1(3(5(0(5(1(x1)))))))))) 0(5(1(0(0(5(0(x1))))))) -> 2(2(0(0(3(2(0(1(5(3(x1)))))))))) 0(5(4(2(4(5(0(x1))))))) -> 2(2(1(1(0(4(3(3(1(3(x1)))))))))) 1(0(5(5(4(0(4(x1))))))) -> 2(1(5(3(2(2(4(4(0(4(x1)))))))))) 1(4(5(5(3(0(0(x1))))))) -> 1(1(1(4(2(4(4(4(3(0(x1)))))))))) 1(4(5(5(4(5(4(x1))))))) -> 2(3(0(1(3(5(5(4(3(5(x1)))))))))) 2(0(5(4(0(3(5(x1))))))) -> 2(1(2(0(4(3(4(3(2(2(x1)))))))))) 3(0(5(4(2(0(0(x1))))))) -> 3(0(2(3(4(2(0(2(3(0(x1)))))))))) 3(3(4(3(3(4(4(x1))))))) -> 5(1(4(1(3(3(3(3(0(2(x1)))))))))) 3(4(4(1(0(4(0(x1))))))) -> 1(2(2(0(0(4(3(0(1(0(x1)))))))))) 3(5(1(5(4(5(4(x1))))))) -> 5(1(4(0(1(5(0(3(2(5(x1)))))))))) 4(0(5(0(4(5(0(x1))))))) -> 4(4(0(2(5(1(3(1(2(5(x1)))))))))) 4(0(5(1(4(1(4(x1))))))) -> 4(0(0(2(0(3(1(3(0(5(x1)))))))))) 4(1(0(2(1(0(3(x1))))))) -> 1(3(1(0(5(2(2(3(2(3(x1)))))))))) 4(3(4(2(0(4(2(x1))))))) -> 4(3(2(5(5(2(5(2(0(2(x1)))))))))) 4(3(5(5(5(0(0(x1))))))) -> 4(4(3(1(2(4(5(1(3(2(x1)))))))))) 4(4(1(0(5(4(5(x1))))))) -> 4(1(5(5(5(2(1(3(2(5(x1)))))))))) 4(5(0(0(3(4(1(x1))))))) -> 4(1(0(2(3(3(5(2(5(1(x1)))))))))) 5(0(4(4(2(0(4(x1))))))) -> 3(1(3(5(5(1(4(1(0(5(x1)))))))))) 5(0(5(0(5(4(0(x1))))))) -> 5(3(2(5(5(0(2(1(1(3(x1)))))))))) 5(3(3(4(0(3(0(x1))))))) -> 3(1(5(2(4(5(3(0(3(0(x1)))))))))) 5(4(0(0(2(1(4(x1))))))) -> 2(1(1(2(1(3(2(3(0(0(x1)))))))))) 5(4(1(2(5(0(0(x1))))))) -> 2(3(4(0(2(2(4(2(5(0(x1)))))))))) 5(4(2(3(0(5(0(x1))))))) -> 3(5(0(2(1(3(1(1(3(3(x1)))))))))) 5(4(3(3(2(0(0(x1))))))) -> 2(5(0(2(1(3(1(2(3(2(x1)))))))))) 5(4(5(4(5(1(2(x1))))))) -> 3(1(1(4(3(4(2(4(2(4(x1)))))))))) 5(5(0(0(5(0(3(x1))))))) -> 2(4(0(1(0(0(1(5(2(3(x1)))))))))) 5(5(0(5(0(5(4(x1))))))) -> 2(5(4(5(5(3(2(3(4(2(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_3(x_1)) -> 3(encArg(x_1)) encArg(cons_5(x_1)) -> 5(encArg(x_1)) encArg(cons_1(x_1)) -> 1(encArg(x_1)) encArg(cons_4(x_1)) -> 4(encArg(x_1)) encArg(cons_2(x_1)) -> 2(encArg(x_1)) encode_0(x_1) -> 0(encArg(x_1)) encode_3(x_1) -> 3(encArg(x_1)) encode_2(x_1) -> 2(encArg(x_1)) encode_4(x_1) -> 4(encArg(x_1)) encode_1(x_1) -> 1(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(3(x1))) -> 2(2(4(4(0(2(3(3(1(5(x1)))))))))) 3(4(0(x1))) -> 2(1(2(2(4(4(1(3(2(3(x1)))))))))) 3(4(0(4(x1)))) -> 1(3(1(3(2(4(2(2(4(5(x1)))))))))) 0(5(3(1(4(x1))))) -> 2(5(1(0(1(4(2(2(4(4(x1)))))))))) 3(3(4(5(5(x1))))) -> 3(1(2(0(1(3(0(0(5(5(x1)))))))))) 5(0(0(5(1(x1))))) -> 5(3(1(3(4(2(0(1(5(1(x1)))))))))) 5(0(4(5(4(x1))))) -> 1(1(2(3(1(2(3(4(5(4(x1)))))))))) 5(0(5(0(1(x1))))) -> 5(1(3(0(0(3(3(1(5(1(x1)))))))))) 5(1(5(5(4(x1))))) -> 2(4(2(0(2(3(1(5(5(4(x1)))))))))) 5(4(0(1(4(x1))))) -> 2(2(4(2(5(1(0(1(4(4(x1)))))))))) 5(4(5(0(0(x1))))) -> 3(2(2(1(3(5(5(1(3(0(x1)))))))))) 0(2(1(0(0(0(x1)))))) -> 0(1(3(1(3(1(3(5(3(2(x1)))))))))) 0(3(0(3(4(0(x1)))))) -> 1(1(1(3(2(1(2(5(1(5(x1)))))))))) 0(3(3(4(4(2(x1)))))) -> 0(2(1(2(2(2(0(0(1(2(x1)))))))))) 0(5(2(4(1(4(x1)))))) -> 1(5(3(2(1(3(1(4(1(4(x1)))))))))) 1(0(4(0(4(0(x1)))))) -> 1(4(2(2(2(5(3(1(3(3(x1)))))))))) 1(4(5(5(0(1(x1)))))) -> 1(4(1(2(4(2(1(3(3(1(x1)))))))))) 3(4(0(4(4(2(x1)))))) -> 1(2(3(2(2(4(0(4(0(1(x1)))))))))) 3(5(4(5(5(0(x1)))))) -> 3(1(0(0(4(3(1(4(1(3(x1)))))))))) 4(0(0(1(1(1(x1)))))) -> 3(1(2(1(1(2(1(3(1(1(x1)))))))))) 5(0(3(3(5(0(x1)))))) -> 5(2(2(0(2(5(1(2(1(3(x1)))))))))) 5(2(0(0(0(4(x1)))))) -> 5(5(3(2(2(5(2(3(0(4(x1)))))))))) 5(3(4(0(0(0(x1)))))) -> 5(3(3(1(2(2(5(1(3(0(x1)))))))))) 0(0(5(4(5(5(0(x1))))))) -> 0(1(1(5(2(2(2(3(4(3(x1)))))))))) 0(3(2(4(4(5(5(x1))))))) -> 1(1(1(3(0(3(1(3(0(5(x1)))))))))) 0(4(1(4(1(1(2(x1))))))) -> 3(2(1(3(5(2(1(1(2(2(x1)))))))))) 0(5(0(0(0(4(4(x1))))))) -> 2(2(3(1(1(3(5(0(5(1(x1)))))))))) 0(5(1(0(0(5(0(x1))))))) -> 2(2(0(0(3(2(0(1(5(3(x1)))))))))) 0(5(4(2(4(5(0(x1))))))) -> 2(2(1(1(0(4(3(3(1(3(x1)))))))))) 1(0(5(5(4(0(4(x1))))))) -> 2(1(5(3(2(2(4(4(0(4(x1)))))))))) 1(4(5(5(3(0(0(x1))))))) -> 1(1(1(4(2(4(4(4(3(0(x1)))))))))) 1(4(5(5(4(5(4(x1))))))) -> 2(3(0(1(3(5(5(4(3(5(x1)))))))))) 2(0(5(4(0(3(5(x1))))))) -> 2(1(2(0(4(3(4(3(2(2(x1)))))))))) 3(0(5(4(2(0(0(x1))))))) -> 3(0(2(3(4(2(0(2(3(0(x1)))))))))) 3(3(4(3(3(4(4(x1))))))) -> 5(1(4(1(3(3(3(3(0(2(x1)))))))))) 3(4(4(1(0(4(0(x1))))))) -> 1(2(2(0(0(4(3(0(1(0(x1)))))))))) 3(5(1(5(4(5(4(x1))))))) -> 5(1(4(0(1(5(0(3(2(5(x1)))))))))) 4(0(5(0(4(5(0(x1))))))) -> 4(4(0(2(5(1(3(1(2(5(x1)))))))))) 4(0(5(1(4(1(4(x1))))))) -> 4(0(0(2(0(3(1(3(0(5(x1)))))))))) 4(1(0(2(1(0(3(x1))))))) -> 1(3(1(0(5(2(2(3(2(3(x1)))))))))) 4(3(4(2(0(4(2(x1))))))) -> 4(3(2(5(5(2(5(2(0(2(x1)))))))))) 4(3(5(5(5(0(0(x1))))))) -> 4(4(3(1(2(4(5(1(3(2(x1)))))))))) 4(4(1(0(5(4(5(x1))))))) -> 4(1(5(5(5(2(1(3(2(5(x1)))))))))) 4(5(0(0(3(4(1(x1))))))) -> 4(1(0(2(3(3(5(2(5(1(x1)))))))))) 5(0(4(4(2(0(4(x1))))))) -> 3(1(3(5(5(1(4(1(0(5(x1)))))))))) 5(0(5(0(5(4(0(x1))))))) -> 5(3(2(5(5(0(2(1(1(3(x1)))))))))) 5(3(3(4(0(3(0(x1))))))) -> 3(1(5(2(4(5(3(0(3(0(x1)))))))))) 5(4(0(0(2(1(4(x1))))))) -> 2(1(1(2(1(3(2(3(0(0(x1)))))))))) 5(4(1(2(5(0(0(x1))))))) -> 2(3(4(0(2(2(4(2(5(0(x1)))))))))) 5(4(2(3(0(5(0(x1))))))) -> 3(5(0(2(1(3(1(1(3(3(x1)))))))))) 5(4(3(3(2(0(0(x1))))))) -> 2(5(0(2(1(3(1(2(3(2(x1)))))))))) 5(4(5(4(5(1(2(x1))))))) -> 3(1(1(4(3(4(2(4(2(4(x1)))))))))) 5(5(0(0(5(0(3(x1))))))) -> 2(4(0(1(0(0(1(5(2(3(x1)))))))))) 5(5(0(5(0(5(4(x1))))))) -> 2(5(4(5(5(3(2(3(4(2(x1)))))))))) The (relative) TRS S consists of the following rules: encArg(cons_0(x_1)) -> 0(encArg(x_1)) encArg(cons_3(x_1)) -> 3(encArg(x_1)) encArg(cons_5(x_1)) -> 5(encArg(x_1)) encArg(cons_1(x_1)) -> 1(encArg(x_1)) encArg(cons_4(x_1)) -> 4(encArg(x_1)) encArg(cons_2(x_1)) -> 2(encArg(x_1)) encode_0(x_1) -> 0(encArg(x_1)) encode_3(x_1) -> 3(encArg(x_1)) encode_2(x_1) -> 2(encArg(x_1)) encode_4(x_1) -> 4(encArg(x_1)) encode_1(x_1) -> 1(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(3(x1))) -> 2(2(4(4(0(2(3(3(1(5(x1)))))))))) 3(4(0(x1))) -> 2(1(2(2(4(4(1(3(2(3(x1)))))))))) 3(4(0(4(x1)))) -> 1(3(1(3(2(4(2(2(4(5(x1)))))))))) 0(5(3(1(4(x1))))) -> 2(5(1(0(1(4(2(2(4(4(x1)))))))))) 3(3(4(5(5(x1))))) -> 3(1(2(0(1(3(0(0(5(5(x1)))))))))) 5(0(0(5(1(x1))))) -> 5(3(1(3(4(2(0(1(5(1(x1)))))))))) 5(0(4(5(4(x1))))) -> 1(1(2(3(1(2(3(4(5(4(x1)))))))))) 5(0(5(0(1(x1))))) -> 5(1(3(0(0(3(3(1(5(1(x1)))))))))) 5(1(5(5(4(x1))))) -> 2(4(2(0(2(3(1(5(5(4(x1)))))))))) 5(4(0(1(4(x1))))) -> 2(2(4(2(5(1(0(1(4(4(x1)))))))))) 5(4(5(0(0(x1))))) -> 3(2(2(1(3(5(5(1(3(0(x1)))))))))) 0(2(1(0(0(0(x1)))))) -> 0(1(3(1(3(1(3(5(3(2(x1)))))))))) 0(3(0(3(4(0(x1)))))) -> 1(1(1(3(2(1(2(5(1(5(x1)))))))))) 0(3(3(4(4(2(x1)))))) -> 0(2(1(2(2(2(0(0(1(2(x1)))))))))) 0(5(2(4(1(4(x1)))))) -> 1(5(3(2(1(3(1(4(1(4(x1)))))))))) 1(0(4(0(4(0(x1)))))) -> 1(4(2(2(2(5(3(1(3(3(x1)))))))))) 1(4(5(5(0(1(x1)))))) -> 1(4(1(2(4(2(1(3(3(1(x1)))))))))) 3(4(0(4(4(2(x1)))))) -> 1(2(3(2(2(4(0(4(0(1(x1)))))))))) 3(5(4(5(5(0(x1)))))) -> 3(1(0(0(4(3(1(4(1(3(x1)))))))))) 4(0(0(1(1(1(x1)))))) -> 3(1(2(1(1(2(1(3(1(1(x1)))))))))) 5(0(3(3(5(0(x1)))))) -> 5(2(2(0(2(5(1(2(1(3(x1)))))))))) 5(2(0(0(0(4(x1)))))) -> 5(5(3(2(2(5(2(3(0(4(x1)))))))))) 5(3(4(0(0(0(x1)))))) -> 5(3(3(1(2(2(5(1(3(0(x1)))))))))) 0(0(5(4(5(5(0(x1))))))) -> 0(1(1(5(2(2(2(3(4(3(x1)))))))))) 0(3(2(4(4(5(5(x1))))))) -> 1(1(1(3(0(3(1(3(0(5(x1)))))))))) 0(4(1(4(1(1(2(x1))))))) -> 3(2(1(3(5(2(1(1(2(2(x1)))))))))) 0(5(0(0(0(4(4(x1))))))) -> 2(2(3(1(1(3(5(0(5(1(x1)))))))))) 0(5(1(0(0(5(0(x1))))))) -> 2(2(0(0(3(2(0(1(5(3(x1)))))))))) 0(5(4(2(4(5(0(x1))))))) -> 2(2(1(1(0(4(3(3(1(3(x1)))))))))) 1(0(5(5(4(0(4(x1))))))) -> 2(1(5(3(2(2(4(4(0(4(x1)))))))))) 1(4(5(5(3(0(0(x1))))))) -> 1(1(1(4(2(4(4(4(3(0(x1)))))))))) 1(4(5(5(4(5(4(x1))))))) -> 2(3(0(1(3(5(5(4(3(5(x1)))))))))) 2(0(5(4(0(3(5(x1))))))) -> 2(1(2(0(4(3(4(3(2(2(x1)))))))))) 3(0(5(4(2(0(0(x1))))))) -> 3(0(2(3(4(2(0(2(3(0(x1)))))))))) 3(3(4(3(3(4(4(x1))))))) -> 5(1(4(1(3(3(3(3(0(2(x1)))))))))) 3(4(4(1(0(4(0(x1))))))) -> 1(2(2(0(0(4(3(0(1(0(x1)))))))))) 3(5(1(5(4(5(4(x1))))))) -> 5(1(4(0(1(5(0(3(2(5(x1)))))))))) 4(0(5(0(4(5(0(x1))))))) -> 4(4(0(2(5(1(3(1(2(5(x1)))))))))) 4(0(5(1(4(1(4(x1))))))) -> 4(0(0(2(0(3(1(3(0(5(x1)))))))))) 4(1(0(2(1(0(3(x1))))))) -> 1(3(1(0(5(2(2(3(2(3(x1)))))))))) 4(3(4(2(0(4(2(x1))))))) -> 4(3(2(5(5(2(5(2(0(2(x1)))))))))) 4(3(5(5(5(0(0(x1))))))) -> 4(4(3(1(2(4(5(1(3(2(x1)))))))))) 4(4(1(0(5(4(5(x1))))))) -> 4(1(5(5(5(2(1(3(2(5(x1)))))))))) 4(5(0(0(3(4(1(x1))))))) -> 4(1(0(2(3(3(5(2(5(1(x1)))))))))) 5(0(4(4(2(0(4(x1))))))) -> 3(1(3(5(5(1(4(1(0(5(x1)))))))))) 5(0(5(0(5(4(0(x1))))))) -> 5(3(2(5(5(0(2(1(1(3(x1)))))))))) 5(3(3(4(0(3(0(x1))))))) -> 3(1(5(2(4(5(3(0(3(0(x1)))))))))) 5(4(0(0(2(1(4(x1))))))) -> 2(1(1(2(1(3(2(3(0(0(x1)))))))))) 5(4(1(2(5(0(0(x1))))))) -> 2(3(4(0(2(2(4(2(5(0(x1)))))))))) 5(4(2(3(0(5(0(x1))))))) -> 3(5(0(2(1(3(1(1(3(3(x1)))))))))) 5(4(3(3(2(0(0(x1))))))) -> 2(5(0(2(1(3(1(2(3(2(x1)))))))))) 5(4(5(4(5(1(2(x1))))))) -> 3(1(1(4(3(4(2(4(2(4(x1)))))))))) 5(5(0(0(5(0(3(x1))))))) -> 2(4(0(1(0(0(1(5(2(3(x1)))))))))) 5(5(0(5(0(5(4(x1))))))) -> 2(5(4(5(5(3(2(3(4(2(x1)))))))))) The (relative) TRS S consists of the following rules: encArg(cons_0(x_1)) -> 0(encArg(x_1)) encArg(cons_3(x_1)) -> 3(encArg(x_1)) encArg(cons_5(x_1)) -> 5(encArg(x_1)) encArg(cons_1(x_1)) -> 1(encArg(x_1)) encArg(cons_4(x_1)) -> 4(encArg(x_1)) encArg(cons_2(x_1)) -> 2(encArg(x_1)) encode_0(x_1) -> 0(encArg(x_1)) encode_3(x_1) -> 3(encArg(x_1)) encode_2(x_1) -> 2(encArg(x_1)) encode_4(x_1) -> 4(encArg(x_1)) encode_1(x_1) -> 1(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(3(x1))) -> 2(2(4(4(0(2(3(3(1(5(x1)))))))))) 3(4(0(x1))) -> 2(1(2(2(4(4(1(3(2(3(x1)))))))))) 3(4(0(4(x1)))) -> 1(3(1(3(2(4(2(2(4(5(x1)))))))))) 0(5(3(1(4(x1))))) -> 2(5(1(0(1(4(2(2(4(4(x1)))))))))) 3(3(4(5(5(x1))))) -> 3(1(2(0(1(3(0(0(5(5(x1)))))))))) 5(0(0(5(1(x1))))) -> 5(3(1(3(4(2(0(1(5(1(x1)))))))))) 5(0(4(5(4(x1))))) -> 1(1(2(3(1(2(3(4(5(4(x1)))))))))) 5(0(5(0(1(x1))))) -> 5(1(3(0(0(3(3(1(5(1(x1)))))))))) 5(1(5(5(4(x1))))) -> 2(4(2(0(2(3(1(5(5(4(x1)))))))))) 5(4(0(1(4(x1))))) -> 2(2(4(2(5(1(0(1(4(4(x1)))))))))) 5(4(5(0(0(x1))))) -> 3(2(2(1(3(5(5(1(3(0(x1)))))))))) 0(2(1(0(0(0(x1)))))) -> 0(1(3(1(3(1(3(5(3(2(x1)))))))))) 0(3(0(3(4(0(x1)))))) -> 1(1(1(3(2(1(2(5(1(5(x1)))))))))) 0(3(3(4(4(2(x1)))))) -> 0(2(1(2(2(2(0(0(1(2(x1)))))))))) 0(5(2(4(1(4(x1)))))) -> 1(5(3(2(1(3(1(4(1(4(x1)))))))))) 1(0(4(0(4(0(x1)))))) -> 1(4(2(2(2(5(3(1(3(3(x1)))))))))) 1(4(5(5(0(1(x1)))))) -> 1(4(1(2(4(2(1(3(3(1(x1)))))))))) 3(4(0(4(4(2(x1)))))) -> 1(2(3(2(2(4(0(4(0(1(x1)))))))))) 3(5(4(5(5(0(x1)))))) -> 3(1(0(0(4(3(1(4(1(3(x1)))))))))) 4(0(0(1(1(1(x1)))))) -> 3(1(2(1(1(2(1(3(1(1(x1)))))))))) 5(0(3(3(5(0(x1)))))) -> 5(2(2(0(2(5(1(2(1(3(x1)))))))))) 5(2(0(0(0(4(x1)))))) -> 5(5(3(2(2(5(2(3(0(4(x1)))))))))) 5(3(4(0(0(0(x1)))))) -> 5(3(3(1(2(2(5(1(3(0(x1)))))))))) 0(0(5(4(5(5(0(x1))))))) -> 0(1(1(5(2(2(2(3(4(3(x1)))))))))) 0(3(2(4(4(5(5(x1))))))) -> 1(1(1(3(0(3(1(3(0(5(x1)))))))))) 0(4(1(4(1(1(2(x1))))))) -> 3(2(1(3(5(2(1(1(2(2(x1)))))))))) 0(5(0(0(0(4(4(x1))))))) -> 2(2(3(1(1(3(5(0(5(1(x1)))))))))) 0(5(1(0(0(5(0(x1))))))) -> 2(2(0(0(3(2(0(1(5(3(x1)))))))))) 0(5(4(2(4(5(0(x1))))))) -> 2(2(1(1(0(4(3(3(1(3(x1)))))))))) 1(0(5(5(4(0(4(x1))))))) -> 2(1(5(3(2(2(4(4(0(4(x1)))))))))) 1(4(5(5(3(0(0(x1))))))) -> 1(1(1(4(2(4(4(4(3(0(x1)))))))))) 1(4(5(5(4(5(4(x1))))))) -> 2(3(0(1(3(5(5(4(3(5(x1)))))))))) 2(0(5(4(0(3(5(x1))))))) -> 2(1(2(0(4(3(4(3(2(2(x1)))))))))) 3(0(5(4(2(0(0(x1))))))) -> 3(0(2(3(4(2(0(2(3(0(x1)))))))))) 3(3(4(3(3(4(4(x1))))))) -> 5(1(4(1(3(3(3(3(0(2(x1)))))))))) 3(4(4(1(0(4(0(x1))))))) -> 1(2(2(0(0(4(3(0(1(0(x1)))))))))) 3(5(1(5(4(5(4(x1))))))) -> 5(1(4(0(1(5(0(3(2(5(x1)))))))))) 4(0(5(0(4(5(0(x1))))))) -> 4(4(0(2(5(1(3(1(2(5(x1)))))))))) 4(0(5(1(4(1(4(x1))))))) -> 4(0(0(2(0(3(1(3(0(5(x1)))))))))) 4(1(0(2(1(0(3(x1))))))) -> 1(3(1(0(5(2(2(3(2(3(x1)))))))))) 4(3(4(2(0(4(2(x1))))))) -> 4(3(2(5(5(2(5(2(0(2(x1)))))))))) 4(3(5(5(5(0(0(x1))))))) -> 4(4(3(1(2(4(5(1(3(2(x1)))))))))) 4(4(1(0(5(4(5(x1))))))) -> 4(1(5(5(5(2(1(3(2(5(x1)))))))))) 4(5(0(0(3(4(1(x1))))))) -> 4(1(0(2(3(3(5(2(5(1(x1)))))))))) 5(0(4(4(2(0(4(x1))))))) -> 3(1(3(5(5(1(4(1(0(5(x1)))))))))) 5(0(5(0(5(4(0(x1))))))) -> 5(3(2(5(5(0(2(1(1(3(x1)))))))))) 5(3(3(4(0(3(0(x1))))))) -> 3(1(5(2(4(5(3(0(3(0(x1)))))))))) 5(4(0(0(2(1(4(x1))))))) -> 2(1(1(2(1(3(2(3(0(0(x1)))))))))) 5(4(1(2(5(0(0(x1))))))) -> 2(3(4(0(2(2(4(2(5(0(x1)))))))))) 5(4(2(3(0(5(0(x1))))))) -> 3(5(0(2(1(3(1(1(3(3(x1)))))))))) 5(4(3(3(2(0(0(x1))))))) -> 2(5(0(2(1(3(1(2(3(2(x1)))))))))) 5(4(5(4(5(1(2(x1))))))) -> 3(1(1(4(3(4(2(4(2(4(x1)))))))))) 5(5(0(0(5(0(3(x1))))))) -> 2(4(0(1(0(0(1(5(2(3(x1)))))))))) 5(5(0(5(0(5(4(x1))))))) -> 2(5(4(5(5(3(2(3(4(2(x1)))))))))) encArg(cons_0(x_1)) -> 0(encArg(x_1)) encArg(cons_3(x_1)) -> 3(encArg(x_1)) encArg(cons_5(x_1)) -> 5(encArg(x_1)) encArg(cons_1(x_1)) -> 1(encArg(x_1)) encArg(cons_4(x_1)) -> 4(encArg(x_1)) encArg(cons_2(x_1)) -> 2(encArg(x_1)) encode_0(x_1) -> 0(encArg(x_1)) encode_3(x_1) -> 3(encArg(x_1)) encode_2(x_1) -> 2(encArg(x_1)) encode_4(x_1) -> 4(encArg(x_1)) encode_1(x_1) -> 1(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. "[122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 149, 150, 151, 152, 153, 154, 155, 156, 157, 158, 159, 160, 161, 162, 163, 164, 165, 166, 167, 168, 169, 170, 171, 172, 173, 174, 175, 176, 177, 178, 179, 180, 181, 182, 183, 184, 185, 186, 187, 188, 189, 190, 191, 192, 193, 194, 195, 196, 197, 198, 199, 200, 201, 202, 203, 204, 205, 206, 207, 208, 209, 210, 211, 212, 213, 214, 215, 216, 217, 218, 219, 220, 221, 222, 223, 224, 225, 226, 227, 228, 229, 230, 231, 232, 233, 234, 235, 236, 237, 238, 239, 240, 241, 242, 243, 244, 245, 246, 247, 248, 249, 250, 251, 252, 253, 254, 255, 256, 257, 258, 259, 260, 261, 262, 263, 264, 265, 266, 267, 268, 269, 270, 271, 272, 273, 274, 275, 276, 277, 278, 279, 280, 281, 282, 283, 284, 285, 286, 287, 288, 289, 290, 291, 292, 293, 294, 295, 296, 297, 298, 299, 300, 301, 302, 303, 304, 305, 306, 307, 308, 309, 310, 311, 312, 313, 314, 315, 316, 317, 318, 319, 320, 321, 322, 323, 324, 325, 326, 327, 328, 329, 330, 331, 332, 333, 334, 335, 336, 337, 338, 339, 340, 341, 342, 343, 344, 345, 346, 347, 348, 349, 350, 351, 352, 353, 354, 355, 356, 357, 358, 359, 360, 361, 362, 363, 364, 365, 366, 367, 368, 369, 370, 371, 372, 373, 374, 375, 376, 377, 378, 379, 380, 381, 382, 383, 384, 385, 386, 387, 388, 389, 390, 391, 392, 393, 394, 395, 396, 397, 398, 399, 400, 401, 402, 403, 404, 405, 406, 407, 408, 409, 410, 411, 412, 413, 414, 415, 416, 417, 418, 419, 420, 421, 422, 423, 424, 425, 426, 427, 428, 429, 430, 431, 432, 433, 434, 435, 436, 437, 438, 439, 440, 441, 442, 443, 444, 445, 446, 447, 448, 449, 450, 451, 452, 453, 454, 455, 456, 457, 458, 459, 460, 461, 462, 463, 464, 465, 466, 467, 468, 469, 470, 471, 472, 473, 474, 475, 476, 477, 478, 479, 480, 481, 482, 483, 484, 485, 486, 487, 488, 489, 490, 491, 492, 493, 494, 495, 496, 497, 498, 499, 500, 501, 502, 503, 504, 505, 506, 507, 508, 509, 510, 511, 512, 513, 514, 515, 516, 517, 518, 519, 520, 521, 522, 523, 524, 525, 526, 527, 528, 529, 530, 531, 532, 533, 534, 535, 536, 537, 538, 539, 540, 541, 542, 543, 544, 545, 546, 547, 548, 549, 550, 551, 552, 553, 554, 555, 556, 557, 558, 559, 560, 561, 562, 563, 564, 565, 566, 567, 568, 569, 570, 571, 572, 573, 574, 575, 576, 577, 578, 579, 580, 581, 582, 583, 584, 585, 586, 587, 588, 589, 590, 591, 592, 593, 594, 595, 596, 597, 598, 599, 600, 601, 602, 603, 604, 605, 606, 607, 608, 609, 610, 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] {(122,123,[0_1|0, 3_1|0, 5_1|0, 1_1|0, 4_1|0, 2_1|0, encArg_1|0, encode_0_1|0, encode_3_1|0, encode_2_1|0, encode_4_1|0, encode_1_1|0, encode_5_1|0]), (122,124,[0_1|1, 3_1|1, 5_1|1, 1_1|1, 4_1|1, 2_1|1]), (122,125,[2_1|2]), (122,134,[0_1|2]), (122,143,[2_1|2]), (122,152,[1_1|2]), (122,161,[2_1|2]), (122,170,[2_1|2]), (122,179,[2_1|2]), (122,188,[0_1|2]), (122,197,[1_1|2]), (122,206,[0_1|2]), (122,215,[1_1|2]), (122,224,[3_1|2]), (122,233,[2_1|2]), (122,242,[1_1|2]), (122,251,[1_1|2]), (122,260,[1_1|2]), (122,269,[3_1|2]), (122,278,[5_1|2]), (122,287,[3_1|2]), (122,296,[5_1|2]), (122,305,[3_1|2]), (122,314,[5_1|2]), (122,323,[1_1|2]), (122,332,[3_1|2]), (122,341,[5_1|2]), (122,350,[5_1|2]), (122,359,[5_1|2]), (122,368,[2_1|2]), (122,377,[2_1|2]), (122,386,[2_1|2]), (122,395,[3_1|2]), (122,404,[3_1|2]), (122,413,[2_1|2]), (122,422,[3_1|2]), (122,431,[2_1|2]), (122,440,[5_1|2]), (122,449,[5_1|2]), (122,458,[3_1|2]), (122,467,[2_1|2]), (122,476,[2_1|2]), (122,485,[1_1|2]), (122,494,[2_1|2]), (122,503,[1_1|2]), (122,512,[1_1|2]), (122,521,[2_1|2]), (122,530,[3_1|2]), (122,539,[4_1|2]), (122,548,[4_1|2]), (122,557,[1_1|2]), (122,566,[4_1|2]), (122,575,[4_1|2]), (122,584,[4_1|2]), (122,593,[4_1|2]), (122,602,[2_1|2]), (123,123,[cons_0_1|0, cons_3_1|0, cons_5_1|0, cons_1_1|0, cons_4_1|0, cons_2_1|0]), (124,123,[encArg_1|1]), (124,124,[0_1|1, 3_1|1, 5_1|1, 1_1|1, 4_1|1, 2_1|1]), (124,125,[2_1|2]), (124,134,[0_1|2]), (124,143,[2_1|2]), (124,152,[1_1|2]), (124,161,[2_1|2]), (124,170,[2_1|2]), (124,179,[2_1|2]), (124,188,[0_1|2]), (124,197,[1_1|2]), (124,206,[0_1|2]), (124,215,[1_1|2]), (124,224,[3_1|2]), (124,233,[2_1|2]), (124,242,[1_1|2]), (124,251,[1_1|2]), (124,260,[1_1|2]), (124,269,[3_1|2]), (124,278,[5_1|2]), (124,287,[3_1|2]), (124,296,[5_1|2]), (124,305,[3_1|2]), (124,314,[5_1|2]), (124,323,[1_1|2]), (124,332,[3_1|2]), (124,341,[5_1|2]), (124,350,[5_1|2]), (124,359,[5_1|2]), (124,368,[2_1|2]), (124,377,[2_1|2]), (124,386,[2_1|2]), (124,395,[3_1|2]), (124,404,[3_1|2]), (124,413,[2_1|2]), (124,422,[3_1|2]), (124,431,[2_1|2]), (124,440,[5_1|2]), (124,449,[5_1|2]), (124,458,[3_1|2]), (124,467,[2_1|2]), (124,476,[2_1|2]), (124,485,[1_1|2]), (124,494,[2_1|2]), (124,503,[1_1|2]), (124,512,[1_1|2]), (124,521,[2_1|2]), (124,530,[3_1|2]), (124,539,[4_1|2]), (124,548,[4_1|2]), (124,557,[1_1|2]), (124,566,[4_1|2]), (124,575,[4_1|2]), (124,584,[4_1|2]), (124,593,[4_1|2]), (124,602,[2_1|2]), (125,126,[2_1|2]), (126,127,[4_1|2]), (127,128,[4_1|2]), (128,129,[0_1|2]), (129,130,[2_1|2]), (130,131,[3_1|2]), (131,132,[3_1|2]), (132,133,[1_1|2]), (133,124,[5_1|2]), (133,224,[5_1|2]), (133,269,[5_1|2]), (133,287,[5_1|2]), (133,305,[5_1|2]), (133,332,[5_1|2, 3_1|2]), (133,395,[5_1|2, 3_1|2]), (133,404,[5_1|2, 3_1|2]), (133,422,[5_1|2, 3_1|2]), (133,458,[5_1|2, 3_1|2]), (133,530,[5_1|2]), (133,314,[5_1|2]), (133,323,[1_1|2]), (133,341,[5_1|2]), (133,350,[5_1|2]), (133,359,[5_1|2]), (133,368,[2_1|2]), (133,377,[2_1|2]), (133,386,[2_1|2]), (133,413,[2_1|2]), (133,431,[2_1|2]), (133,440,[5_1|2]), (133,449,[5_1|2]), (133,467,[2_1|2]), (133,476,[2_1|2]), (134,135,[1_1|2]), (135,136,[1_1|2]), (136,137,[5_1|2]), (137,138,[2_1|2]), (138,139,[2_1|2]), (139,140,[2_1|2]), (140,141,[3_1|2]), (141,142,[4_1|2]), (141,566,[4_1|2]), (141,575,[4_1|2]), (142,124,[3_1|2]), 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(160,504,[4_1|2]), (160,530,[3_1|2]), (160,557,[1_1|2]), (161,162,[2_1|2]), (162,163,[3_1|2]), (163,164,[1_1|2]), (164,165,[1_1|2]), (165,166,[3_1|2]), (166,167,[5_1|2]), (167,168,[0_1|2]), (167,170,[2_1|2]), (168,169,[5_1|2]), (168,368,[2_1|2]), (169,124,[1_1|2]), (169,539,[1_1|2]), (169,548,[1_1|2]), (169,566,[1_1|2]), (169,575,[1_1|2]), (169,584,[1_1|2]), (169,593,[1_1|2]), (169,540,[1_1|2]), (169,576,[1_1|2]), (169,485,[1_1|2]), (169,494,[2_1|2]), (169,503,[1_1|2]), (169,512,[1_1|2]), (169,521,[2_1|2]), (170,171,[2_1|2]), (171,172,[0_1|2]), (171,620,[2_1|3]), (172,173,[0_1|2]), (173,174,[3_1|2]), (174,175,[2_1|2]), (175,176,[0_1|2]), (176,177,[1_1|2]), (177,178,[5_1|2]), (177,449,[5_1|2]), (177,458,[3_1|2]), (178,124,[3_1|2]), (178,134,[3_1|2]), (178,188,[3_1|2]), (178,206,[3_1|2]), (178,233,[2_1|2]), (178,242,[1_1|2]), (178,251,[1_1|2]), (178,260,[1_1|2]), (178,269,[3_1|2]), (178,278,[5_1|2]), (178,287,[3_1|2]), (178,296,[5_1|2]), (178,305,[3_1|2]), (178,611,[2_1|3]), (179,180,[2_1|2]), (180,181,[1_1|2]), (181,182,[1_1|2]), (182,183,[0_1|2]), (183,184,[4_1|2]), (184,185,[3_1|2]), (185,186,[3_1|2]), (186,187,[1_1|2]), (187,124,[3_1|2]), (187,134,[3_1|2]), (187,188,[3_1|2]), (187,206,[3_1|2]), (187,233,[2_1|2]), (187,242,[1_1|2]), (187,251,[1_1|2]), (187,260,[1_1|2]), (187,269,[3_1|2]), (187,278,[5_1|2]), (187,287,[3_1|2]), (187,296,[5_1|2]), (187,305,[3_1|2]), (187,611,[2_1|3]), (188,189,[1_1|2]), (189,190,[3_1|2]), (190,191,[1_1|2]), (191,192,[3_1|2]), (192,193,[1_1|2]), (193,194,[3_1|2]), (194,195,[5_1|2]), (195,196,[3_1|2]), (196,124,[2_1|2]), (196,134,[2_1|2]), (196,188,[2_1|2]), (196,206,[2_1|2]), (196,602,[2_1|2]), (197,198,[1_1|2]), (198,199,[1_1|2]), (199,200,[3_1|2]), (200,201,[2_1|2]), (201,202,[1_1|2]), (202,203,[2_1|2]), (203,204,[5_1|2]), (203,368,[2_1|2]), (204,205,[1_1|2]), (205,124,[5_1|2]), (205,134,[5_1|2]), (205,188,[5_1|2]), (205,206,[5_1|2]), (205,549,[5_1|2]), (205,314,[5_1|2]), (205,323,[1_1|2]), (205,332,[3_1|2]), (205,341,[5_1|2]), (205,350,[5_1|2]), (205,359,[5_1|2]), (205,368,[2_1|2]), (205,377,[2_1|2]), (205,386,[2_1|2]), (205,395,[3_1|2]), (205,404,[3_1|2]), (205,413,[2_1|2]), (205,422,[3_1|2]), (205,431,[2_1|2]), (205,440,[5_1|2]), (205,449,[5_1|2]), (205,458,[3_1|2]), (205,467,[2_1|2]), (205,476,[2_1|2]), (206,207,[2_1|2]), (207,208,[1_1|2]), (208,209,[2_1|2]), (209,210,[2_1|2]), (210,211,[2_1|2]), (211,212,[0_1|2]), (212,213,[0_1|2]), (213,214,[1_1|2]), (214,124,[2_1|2]), (214,125,[2_1|2]), (214,143,[2_1|2]), (214,161,[2_1|2]), (214,170,[2_1|2]), (214,179,[2_1|2]), (214,233,[2_1|2]), (214,368,[2_1|2]), (214,377,[2_1|2]), (214,386,[2_1|2]), (214,413,[2_1|2]), (214,431,[2_1|2]), (214,467,[2_1|2]), (214,476,[2_1|2]), (214,494,[2_1|2]), (214,521,[2_1|2]), (214,602,[2_1|2]), (215,216,[1_1|2]), (216,217,[1_1|2]), (217,218,[3_1|2]), (218,219,[0_1|2]), (219,220,[3_1|2]), (220,221,[1_1|2]), (221,222,[3_1|2]), (221,305,[3_1|2]), (222,223,[0_1|2]), (222,143,[2_1|2]), (222,152,[1_1|2]), (222,161,[2_1|2]), (222,170,[2_1|2]), (222,179,[2_1|2]), (223,124,[5_1|2]), (223,278,[5_1|2]), (223,296,[5_1|2]), (223,314,[5_1|2]), (223,341,[5_1|2]), (223,350,[5_1|2]), (223,359,[5_1|2]), (223,440,[5_1|2]), (223,449,[5_1|2]), (223,441,[5_1|2]), (223,323,[1_1|2]), (223,332,[3_1|2]), (223,368,[2_1|2]), (223,377,[2_1|2]), (223,386,[2_1|2]), (223,395,[3_1|2]), (223,404,[3_1|2]), (223,413,[2_1|2]), (223,422,[3_1|2]), (223,431,[2_1|2]), (223,458,[3_1|2]), (223,467,[2_1|2]), (223,476,[2_1|2]), (224,225,[2_1|2]), (225,226,[1_1|2]), (226,227,[3_1|2]), (227,228,[5_1|2]), (228,229,[2_1|2]), (229,230,[1_1|2]), (230,231,[1_1|2]), (231,232,[2_1|2]), (232,124,[2_1|2]), (232,125,[2_1|2]), (232,143,[2_1|2]), (232,161,[2_1|2]), (232,170,[2_1|2]), (232,179,[2_1|2]), (232,233,[2_1|2]), (232,368,[2_1|2]), (232,377,[2_1|2]), (232,386,[2_1|2]), (232,413,[2_1|2]), (232,431,[2_1|2]), (232,467,[2_1|2]), (232,476,[2_1|2]), (232,494,[2_1|2]), (232,521,[2_1|2]), (232,602,[2_1|2]), (232,252,[2_1|2]), 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(556,476,[2_1|2]), (557,558,[3_1|2]), (558,559,[1_1|2]), (559,560,[0_1|2]), (560,561,[5_1|2]), (561,562,[2_1|2]), (562,563,[2_1|2]), (563,564,[3_1|2]), (564,565,[2_1|2]), (565,124,[3_1|2]), (565,224,[3_1|2]), (565,269,[3_1|2]), (565,287,[3_1|2]), (565,305,[3_1|2]), (565,332,[3_1|2]), (565,395,[3_1|2]), (565,404,[3_1|2]), (565,422,[3_1|2]), (565,458,[3_1|2]), (565,530,[3_1|2]), (565,233,[2_1|2]), (565,242,[1_1|2]), (565,251,[1_1|2]), (565,260,[1_1|2]), (565,278,[5_1|2]), (565,296,[5_1|2]), (565,611,[2_1|3]), (566,567,[3_1|2]), (567,568,[2_1|2]), (568,569,[5_1|2]), (569,570,[5_1|2]), (570,571,[2_1|2]), (571,572,[5_1|2]), (572,573,[2_1|2]), (573,574,[0_1|2]), (573,188,[0_1|2]), (574,124,[2_1|2]), (574,125,[2_1|2]), (574,143,[2_1|2]), (574,161,[2_1|2]), (574,170,[2_1|2]), (574,179,[2_1|2]), (574,233,[2_1|2]), (574,368,[2_1|2]), (574,377,[2_1|2]), (574,386,[2_1|2]), (574,413,[2_1|2]), (574,431,[2_1|2]), (574,467,[2_1|2]), (574,476,[2_1|2]), (574,494,[2_1|2]), (574,521,[2_1|2]), (574,602,[2_1|2]), (575,576,[4_1|2]), (576,577,[3_1|2]), (577,578,[1_1|2]), (578,579,[2_1|2]), (579,580,[4_1|2]), (580,581,[5_1|2]), (581,582,[1_1|2]), (582,583,[3_1|2]), (583,124,[2_1|2]), (583,134,[2_1|2]), (583,188,[2_1|2]), (583,206,[2_1|2]), (583,602,[2_1|2]), (584,585,[1_1|2]), (585,586,[5_1|2]), (586,587,[5_1|2]), (587,588,[5_1|2]), (588,589,[2_1|2]), (589,590,[1_1|2]), (590,591,[3_1|2]), (591,592,[2_1|2]), (592,124,[5_1|2]), (592,278,[5_1|2]), (592,296,[5_1|2]), (592,314,[5_1|2]), (592,341,[5_1|2]), (592,350,[5_1|2]), (592,359,[5_1|2]), (592,440,[5_1|2]), (592,449,[5_1|2]), (592,323,[1_1|2]), (592,332,[3_1|2]), (592,368,[2_1|2]), (592,377,[2_1|2]), (592,386,[2_1|2]), (592,395,[3_1|2]), (592,404,[3_1|2]), (592,413,[2_1|2]), (592,422,[3_1|2]), (592,431,[2_1|2]), (592,458,[3_1|2]), (592,467,[2_1|2]), (592,476,[2_1|2]), (593,594,[1_1|2]), (594,595,[0_1|2]), (595,596,[2_1|2]), (596,597,[3_1|2]), (597,598,[3_1|2]), (598,599,[5_1|2]), (599,600,[2_1|2]), (600,601,[5_1|2]), (600,368,[2_1|2]), (601,124,[1_1|2]), (601,152,[1_1|2]), (601,197,[1_1|2]), (601,215,[1_1|2]), (601,242,[1_1|2]), (601,251,[1_1|2]), (601,260,[1_1|2]), (601,323,[1_1|2]), (601,485,[1_1|2]), (601,503,[1_1|2]), (601,512,[1_1|2]), (601,557,[1_1|2]), (601,585,[1_1|2]), (601,594,[1_1|2]), (601,494,[2_1|2]), (601,521,[2_1|2]), (602,603,[1_1|2]), (603,604,[2_1|2]), (604,605,[0_1|2]), (605,606,[4_1|2]), (606,607,[3_1|2]), (607,608,[4_1|2]), (608,609,[3_1|2]), (609,610,[2_1|2]), (610,124,[2_1|2]), (610,278,[2_1|2]), (610,296,[2_1|2]), (610,314,[2_1|2]), (610,341,[2_1|2]), (610,350,[2_1|2]), (610,359,[2_1|2]), (610,440,[2_1|2]), (610,449,[2_1|2]), (610,423,[2_1|2]), (610,602,[2_1|2]), (611,612,[1_1|3]), (612,613,[2_1|3]), (613,614,[2_1|3]), (614,615,[4_1|3]), (615,616,[4_1|3]), (616,617,[1_1|3]), (617,618,[3_1|3]), (618,619,[2_1|3]), (619,549,[3_1|3]), (620,621,[2_1|3]), (621,622,[4_1|3]), (622,623,[4_1|3]), (623,624,[0_1|3]), (624,625,[2_1|3]), (625,626,[3_1|3]), (626,627,[3_1|3]), (627,628,[1_1|3]), (628,174,[5_1|3]), (629,630,[2_1|3]), (630,631,[4_1|3]), (631,632,[4_1|3]), (632,633,[0_1|3]), (633,634,[2_1|3]), (634,635,[3_1|3]), (635,636,[3_1|3]), (636,637,[1_1|3]), (637,346,[5_1|3]), (638,639,[2_1|3]), (639,640,[4_1|3]), (640,641,[4_1|3]), (641,642,[0_1|3]), (642,643,[2_1|3]), (643,644,[3_1|3]), (644,645,[3_1|3]), (645,646,[1_1|3]), (646,224,[5_1|3]), (646,269,[5_1|3]), (646,287,[5_1|3]), (646,305,[5_1|3]), (646,332,[5_1|3]), (646,395,[5_1|3]), (646,404,[5_1|3]), (646,422,[5_1|3]), (646,458,[5_1|3]), (646,530,[5_1|3]), (646,567,[5_1|3]), (647,648,[1_1|3]), (648,649,[2_1|3]), (649,650,[2_1|3]), (650,651,[4_1|3]), (651,652,[4_1|3]), (652,653,[1_1|3]), (653,654,[3_1|3]), (654,655,[2_1|3]), (655,416,[3_1|3])}" ---------------------------------------- (8) BOUNDS(1, n^1)