/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# AProVE Commit ID: 794c25de1cacf0d048858bcd21c9a779e1221865 marcel 20200619 unpublished dirty The Derivational Complexity (innermost) of the given DCpxTrs could be proven to be BOUNDS(1, n^1).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), 50 ms] (4) CpxRelTRS (5) RelTrsToTrsProof [UPPER BOUND(ID), 0 ms] (6) CpxTRS (7) CpxTrsMatchBoundsProof [FINISHED, 238 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: 3(3(0(x1))) -> 1(4(1(4(5(4(3(4(1(5(x1)))))))))) 3(3(3(x1))) -> 1(1(3(3(1(1(1(0(1(5(x1)))))))))) 0(4(3(0(x1)))) -> 3(1(2(5(5(2(1(5(1(0(x1)))))))))) 2(4(0(3(x1)))) -> 2(5(2(5(2(5(1(1(2(0(x1)))))))))) 3(0(0(0(x1)))) -> 3(3(1(0(1(5(4(5(2(4(x1)))))))))) 3(3(0(2(x1)))) -> 3(3(4(1(0(4(3(1(1(5(x1)))))))))) 3(3(0(5(x1)))) -> 1(3(2(5(0(1(1(5(0(5(x1)))))))))) 5(4(3(0(x1)))) -> 1(2(5(2(4(1(4(4(2(4(x1)))))))))) 0(2(4(3(2(x1))))) -> 0(2(2(3(1(2(0(0(4(1(x1)))))))))) 0(5(4(3(2(x1))))) -> 3(1(5(5(0(1(5(2(0(2(x1)))))))))) 2(0(3(5(5(x1))))) -> 1(5(4(2(1(0(2(2(4(5(x1)))))))))) 3(3(3(3(0(x1))))) -> 1(3(0(0(0(4(0(4(1(0(x1)))))))))) 3(3(5(5(5(x1))))) -> 4(1(2(0(5(1(2(3(1(3(x1)))))))))) 4(5(3(5(3(x1))))) -> 4(3(1(5(1(2(4(2(1(3(x1)))))))))) 5(2(4(3(0(x1))))) -> 2(4(2(5(4(0(1(1(0(1(x1)))))))))) 5(3(3(2(2(x1))))) -> 2(5(1(4(0(3(1(0(1(5(x1)))))))))) 0(0(3(2(0(3(x1)))))) -> 1(2(5(4(5(4(2(5(1(3(x1)))))))))) 0(2(2(2(3(0(x1)))))) -> 0(2(5(4(5(1(5(4(4(2(x1)))))))))) 0(3(0(3(3(5(x1)))))) -> 0(3(2(4(2(3(5(1(5(0(x1)))))))))) 0(4(3(0(3(3(x1)))))) -> 0(0(1(3(5(4(1(5(5(5(x1)))))))))) 0(5(0(0(3(5(x1)))))) -> 1(3(0(3(1(3(5(1(3(5(x1)))))))))) 0(5(4(5(4(0(x1)))))) -> 0(2(1(2(5(4(5(1(5(5(x1)))))))))) 2(0(3(5(3(0(x1)))))) -> 2(4(5(2(0(1(2(2(3(1(x1)))))))))) 2(2(3(3(4(3(x1)))))) -> 5(2(5(4(5(5(1(3(1(4(x1)))))))))) 3(3(0(5(3(2(x1)))))) -> 3(5(5(4(1(0(5(1(0(4(x1)))))))))) 3(4(0(3(0(2(x1)))))) -> 3(2(0(1(1(3(4(1(1(2(x1)))))))))) 4(0(2(3(5(5(x1)))))) -> 5(1(2(1(1(1(1(0(2(4(x1)))))))))) 4(0(3(0(2(2(x1)))))) -> 4(1(1(5(2(0(5(4(1(1(x1)))))))))) 4(3(4(0(3(3(x1)))))) -> 1(5(2(4(2(4(2(4(0(3(x1)))))))))) 4(5(0(0(3(2(x1)))))) -> 4(4(2(1(1(5(2(5(0(2(x1)))))))))) 4(5(3(5(2(0(x1)))))) -> 5(0(2(5(5(5(4(5(0(1(x1)))))))))) 5(3(3(0(3(2(x1)))))) -> 2(5(4(1(5(3(4(2(5(1(x1)))))))))) 5(5(0(2(0(3(x1)))))) -> 4(1(5(4(4(5(0(2(5(3(x1)))))))))) 0(2(0(3(3(5(5(x1))))))) -> 3(2(2(5(4(4(3(3(1(4(x1)))))))))) 0(2(1(4(3(3(5(x1))))))) -> 0(5(5(1(0(5(3(1(1(4(x1)))))))))) 0(3(0(3(2(3(0(x1))))))) -> 2(3(0(0(4(1(3(1(1(2(x1)))))))))) 0(3(4(0(3(0(3(x1))))))) -> 0(4(1(1(5(1(0(3(5(3(x1)))))))))) 0(3(4(5(3(4(4(x1))))))) -> 2(3(5(0(1(0(1(4(5(0(x1)))))))))) 0(4(3(0(3(3(2(x1))))))) -> 3(1(4(5(3(4(1(1(0(2(x1)))))))))) 0(5(1(0(3(3(2(x1))))))) -> 2(0(4(5(1(1(4(5(5(1(x1)))))))))) 0(5(3(2(2(4(5(x1))))))) -> 0(0(0(1(3(1(1(0(5(3(x1)))))))))) 2(2(3(3(3(3(5(x1))))))) -> 2(2(3(5(4(5(5(1(2(5(x1)))))))))) 2(2(3(5(5(0(0(x1))))))) -> 1(5(3(2(2(3(5(4(3(1(x1)))))))))) 2(4(3(2(3(3(2(x1))))))) -> 2(5(4(0(2(5(4(4(1(1(x1)))))))))) 3(3(0(4(3(0(5(x1))))))) -> 4(1(2(0(2(1(1(4(3(4(x1)))))))))) 3(3(5(2(4(3(2(x1))))))) -> 3(0(4(1(1(5(0(3(1(1(x1)))))))))) 3(3(5(5(4(2(2(x1))))))) -> 3(4(4(4(1(3(4(1(0(2(x1)))))))))) 4(2(3(0(3(3(2(x1))))))) -> 5(5(0(4(1(1(0(4(5(2(x1)))))))))) 4(2(3(3(5(1(3(x1))))))) -> 0(2(5(5(2(4(1(0(2(3(x1)))))))))) 5(0(4(5(4(3(0(x1))))))) -> 5(1(0(1(1(3(4(0(2(5(x1)))))))))) 5(3(2(4(3(1(5(x1))))))) -> 3(2(3(3(1(5(1(2(1(5(x1)))))))))) 5(3(3(3(0(3(0(x1))))))) -> 3(5(3(0(1(3(0(4(1(0(x1)))))))))) 5(3(3(5(0(4(3(x1))))))) -> 1(2(0(1(3(5(3(4(1(4(x1)))))))))) 5(5(0(3(4(3(3(x1))))))) -> 1(5(5(0(5(0(1(5(5(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(1(x_1)) -> 1(encArg(x_1)) encArg(cons_3(x_1)) -> 3(encArg(x_1)) encArg(cons_0(x_1)) -> 0(encArg(x_1)) encArg(cons_2(x_1)) -> 2(encArg(x_1)) encArg(cons_5(x_1)) -> 5(encArg(x_1)) encArg(cons_4(x_1)) -> 4(encArg(x_1)) encode_3(x_1) -> 3(encArg(x_1)) encode_0(x_1) -> 0(encArg(x_1)) encode_1(x_1) -> 1(encArg(x_1)) encode_4(x_1) -> 4(encArg(x_1)) encode_5(x_1) -> 5(encArg(x_1)) encode_2(x_1) -> 2(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: 3(3(0(x1))) -> 1(4(1(4(5(4(3(4(1(5(x1)))))))))) 3(3(3(x1))) -> 1(1(3(3(1(1(1(0(1(5(x1)))))))))) 0(4(3(0(x1)))) -> 3(1(2(5(5(2(1(5(1(0(x1)))))))))) 2(4(0(3(x1)))) -> 2(5(2(5(2(5(1(1(2(0(x1)))))))))) 3(0(0(0(x1)))) -> 3(3(1(0(1(5(4(5(2(4(x1)))))))))) 3(3(0(2(x1)))) -> 3(3(4(1(0(4(3(1(1(5(x1)))))))))) 3(3(0(5(x1)))) -> 1(3(2(5(0(1(1(5(0(5(x1)))))))))) 5(4(3(0(x1)))) -> 1(2(5(2(4(1(4(4(2(4(x1)))))))))) 0(2(4(3(2(x1))))) -> 0(2(2(3(1(2(0(0(4(1(x1)))))))))) 0(5(4(3(2(x1))))) -> 3(1(5(5(0(1(5(2(0(2(x1)))))))))) 2(0(3(5(5(x1))))) -> 1(5(4(2(1(0(2(2(4(5(x1)))))))))) 3(3(3(3(0(x1))))) -> 1(3(0(0(0(4(0(4(1(0(x1)))))))))) 3(3(5(5(5(x1))))) -> 4(1(2(0(5(1(2(3(1(3(x1)))))))))) 4(5(3(5(3(x1))))) -> 4(3(1(5(1(2(4(2(1(3(x1)))))))))) 5(2(4(3(0(x1))))) -> 2(4(2(5(4(0(1(1(0(1(x1)))))))))) 5(3(3(2(2(x1))))) -> 2(5(1(4(0(3(1(0(1(5(x1)))))))))) 0(0(3(2(0(3(x1)))))) -> 1(2(5(4(5(4(2(5(1(3(x1)))))))))) 0(2(2(2(3(0(x1)))))) -> 0(2(5(4(5(1(5(4(4(2(x1)))))))))) 0(3(0(3(3(5(x1)))))) -> 0(3(2(4(2(3(5(1(5(0(x1)))))))))) 0(4(3(0(3(3(x1)))))) -> 0(0(1(3(5(4(1(5(5(5(x1)))))))))) 0(5(0(0(3(5(x1)))))) -> 1(3(0(3(1(3(5(1(3(5(x1)))))))))) 0(5(4(5(4(0(x1)))))) -> 0(2(1(2(5(4(5(1(5(5(x1)))))))))) 2(0(3(5(3(0(x1)))))) -> 2(4(5(2(0(1(2(2(3(1(x1)))))))))) 2(2(3(3(4(3(x1)))))) -> 5(2(5(4(5(5(1(3(1(4(x1)))))))))) 3(3(0(5(3(2(x1)))))) -> 3(5(5(4(1(0(5(1(0(4(x1)))))))))) 3(4(0(3(0(2(x1)))))) -> 3(2(0(1(1(3(4(1(1(2(x1)))))))))) 4(0(2(3(5(5(x1)))))) -> 5(1(2(1(1(1(1(0(2(4(x1)))))))))) 4(0(3(0(2(2(x1)))))) -> 4(1(1(5(2(0(5(4(1(1(x1)))))))))) 4(3(4(0(3(3(x1)))))) -> 1(5(2(4(2(4(2(4(0(3(x1)))))))))) 4(5(0(0(3(2(x1)))))) -> 4(4(2(1(1(5(2(5(0(2(x1)))))))))) 4(5(3(5(2(0(x1)))))) -> 5(0(2(5(5(5(4(5(0(1(x1)))))))))) 5(3(3(0(3(2(x1)))))) -> 2(5(4(1(5(3(4(2(5(1(x1)))))))))) 5(5(0(2(0(3(x1)))))) -> 4(1(5(4(4(5(0(2(5(3(x1)))))))))) 0(2(0(3(3(5(5(x1))))))) -> 3(2(2(5(4(4(3(3(1(4(x1)))))))))) 0(2(1(4(3(3(5(x1))))))) -> 0(5(5(1(0(5(3(1(1(4(x1)))))))))) 0(3(0(3(2(3(0(x1))))))) -> 2(3(0(0(4(1(3(1(1(2(x1)))))))))) 0(3(4(0(3(0(3(x1))))))) -> 0(4(1(1(5(1(0(3(5(3(x1)))))))))) 0(3(4(5(3(4(4(x1))))))) -> 2(3(5(0(1(0(1(4(5(0(x1)))))))))) 0(4(3(0(3(3(2(x1))))))) -> 3(1(4(5(3(4(1(1(0(2(x1)))))))))) 0(5(1(0(3(3(2(x1))))))) -> 2(0(4(5(1(1(4(5(5(1(x1)))))))))) 0(5(3(2(2(4(5(x1))))))) -> 0(0(0(1(3(1(1(0(5(3(x1)))))))))) 2(2(3(3(3(3(5(x1))))))) -> 2(2(3(5(4(5(5(1(2(5(x1)))))))))) 2(2(3(5(5(0(0(x1))))))) -> 1(5(3(2(2(3(5(4(3(1(x1)))))))))) 2(4(3(2(3(3(2(x1))))))) -> 2(5(4(0(2(5(4(4(1(1(x1)))))))))) 3(3(0(4(3(0(5(x1))))))) -> 4(1(2(0(2(1(1(4(3(4(x1)))))))))) 3(3(5(2(4(3(2(x1))))))) -> 3(0(4(1(1(5(0(3(1(1(x1)))))))))) 3(3(5(5(4(2(2(x1))))))) -> 3(4(4(4(1(3(4(1(0(2(x1)))))))))) 4(2(3(0(3(3(2(x1))))))) -> 5(5(0(4(1(1(0(4(5(2(x1)))))))))) 4(2(3(3(5(1(3(x1))))))) -> 0(2(5(5(2(4(1(0(2(3(x1)))))))))) 5(0(4(5(4(3(0(x1))))))) -> 5(1(0(1(1(3(4(0(2(5(x1)))))))))) 5(3(2(4(3(1(5(x1))))))) -> 3(2(3(3(1(5(1(2(1(5(x1)))))))))) 5(3(3(3(0(3(0(x1))))))) -> 3(5(3(0(1(3(0(4(1(0(x1)))))))))) 5(3(3(5(0(4(3(x1))))))) -> 1(2(0(1(3(5(3(4(1(4(x1)))))))))) 5(5(0(3(4(3(3(x1))))))) -> 1(5(5(0(5(0(1(5(5(3(x1)))))))))) The (relative) TRS S consists of the following rules: encArg(1(x_1)) -> 1(encArg(x_1)) encArg(cons_3(x_1)) -> 3(encArg(x_1)) encArg(cons_0(x_1)) -> 0(encArg(x_1)) encArg(cons_2(x_1)) -> 2(encArg(x_1)) encArg(cons_5(x_1)) -> 5(encArg(x_1)) encArg(cons_4(x_1)) -> 4(encArg(x_1)) encode_3(x_1) -> 3(encArg(x_1)) encode_0(x_1) -> 0(encArg(x_1)) encode_1(x_1) -> 1(encArg(x_1)) encode_4(x_1) -> 4(encArg(x_1)) encode_5(x_1) -> 5(encArg(x_1)) encode_2(x_1) -> 2(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: 3(3(0(x1))) -> 1(4(1(4(5(4(3(4(1(5(x1)))))))))) 3(3(3(x1))) -> 1(1(3(3(1(1(1(0(1(5(x1)))))))))) 0(4(3(0(x1)))) -> 3(1(2(5(5(2(1(5(1(0(x1)))))))))) 2(4(0(3(x1)))) -> 2(5(2(5(2(5(1(1(2(0(x1)))))))))) 3(0(0(0(x1)))) -> 3(3(1(0(1(5(4(5(2(4(x1)))))))))) 3(3(0(2(x1)))) -> 3(3(4(1(0(4(3(1(1(5(x1)))))))))) 3(3(0(5(x1)))) -> 1(3(2(5(0(1(1(5(0(5(x1)))))))))) 5(4(3(0(x1)))) -> 1(2(5(2(4(1(4(4(2(4(x1)))))))))) 0(2(4(3(2(x1))))) -> 0(2(2(3(1(2(0(0(4(1(x1)))))))))) 0(5(4(3(2(x1))))) -> 3(1(5(5(0(1(5(2(0(2(x1)))))))))) 2(0(3(5(5(x1))))) -> 1(5(4(2(1(0(2(2(4(5(x1)))))))))) 3(3(3(3(0(x1))))) -> 1(3(0(0(0(4(0(4(1(0(x1)))))))))) 3(3(5(5(5(x1))))) -> 4(1(2(0(5(1(2(3(1(3(x1)))))))))) 4(5(3(5(3(x1))))) -> 4(3(1(5(1(2(4(2(1(3(x1)))))))))) 5(2(4(3(0(x1))))) -> 2(4(2(5(4(0(1(1(0(1(x1)))))))))) 5(3(3(2(2(x1))))) -> 2(5(1(4(0(3(1(0(1(5(x1)))))))))) 0(0(3(2(0(3(x1)))))) -> 1(2(5(4(5(4(2(5(1(3(x1)))))))))) 0(2(2(2(3(0(x1)))))) -> 0(2(5(4(5(1(5(4(4(2(x1)))))))))) 0(3(0(3(3(5(x1)))))) -> 0(3(2(4(2(3(5(1(5(0(x1)))))))))) 0(4(3(0(3(3(x1)))))) -> 0(0(1(3(5(4(1(5(5(5(x1)))))))))) 0(5(0(0(3(5(x1)))))) -> 1(3(0(3(1(3(5(1(3(5(x1)))))))))) 0(5(4(5(4(0(x1)))))) -> 0(2(1(2(5(4(5(1(5(5(x1)))))))))) 2(0(3(5(3(0(x1)))))) -> 2(4(5(2(0(1(2(2(3(1(x1)))))))))) 2(2(3(3(4(3(x1)))))) -> 5(2(5(4(5(5(1(3(1(4(x1)))))))))) 3(3(0(5(3(2(x1)))))) -> 3(5(5(4(1(0(5(1(0(4(x1)))))))))) 3(4(0(3(0(2(x1)))))) -> 3(2(0(1(1(3(4(1(1(2(x1)))))))))) 4(0(2(3(5(5(x1)))))) -> 5(1(2(1(1(1(1(0(2(4(x1)))))))))) 4(0(3(0(2(2(x1)))))) -> 4(1(1(5(2(0(5(4(1(1(x1)))))))))) 4(3(4(0(3(3(x1)))))) -> 1(5(2(4(2(4(2(4(0(3(x1)))))))))) 4(5(0(0(3(2(x1)))))) -> 4(4(2(1(1(5(2(5(0(2(x1)))))))))) 4(5(3(5(2(0(x1)))))) -> 5(0(2(5(5(5(4(5(0(1(x1)))))))))) 5(3(3(0(3(2(x1)))))) -> 2(5(4(1(5(3(4(2(5(1(x1)))))))))) 5(5(0(2(0(3(x1)))))) -> 4(1(5(4(4(5(0(2(5(3(x1)))))))))) 0(2(0(3(3(5(5(x1))))))) -> 3(2(2(5(4(4(3(3(1(4(x1)))))))))) 0(2(1(4(3(3(5(x1))))))) -> 0(5(5(1(0(5(3(1(1(4(x1)))))))))) 0(3(0(3(2(3(0(x1))))))) -> 2(3(0(0(4(1(3(1(1(2(x1)))))))))) 0(3(4(0(3(0(3(x1))))))) -> 0(4(1(1(5(1(0(3(5(3(x1)))))))))) 0(3(4(5(3(4(4(x1))))))) -> 2(3(5(0(1(0(1(4(5(0(x1)))))))))) 0(4(3(0(3(3(2(x1))))))) -> 3(1(4(5(3(4(1(1(0(2(x1)))))))))) 0(5(1(0(3(3(2(x1))))))) -> 2(0(4(5(1(1(4(5(5(1(x1)))))))))) 0(5(3(2(2(4(5(x1))))))) -> 0(0(0(1(3(1(1(0(5(3(x1)))))))))) 2(2(3(3(3(3(5(x1))))))) -> 2(2(3(5(4(5(5(1(2(5(x1)))))))))) 2(2(3(5(5(0(0(x1))))))) -> 1(5(3(2(2(3(5(4(3(1(x1)))))))))) 2(4(3(2(3(3(2(x1))))))) -> 2(5(4(0(2(5(4(4(1(1(x1)))))))))) 3(3(0(4(3(0(5(x1))))))) -> 4(1(2(0(2(1(1(4(3(4(x1)))))))))) 3(3(5(2(4(3(2(x1))))))) -> 3(0(4(1(1(5(0(3(1(1(x1)))))))))) 3(3(5(5(4(2(2(x1))))))) -> 3(4(4(4(1(3(4(1(0(2(x1)))))))))) 4(2(3(0(3(3(2(x1))))))) -> 5(5(0(4(1(1(0(4(5(2(x1)))))))))) 4(2(3(3(5(1(3(x1))))))) -> 0(2(5(5(2(4(1(0(2(3(x1)))))))))) 5(0(4(5(4(3(0(x1))))))) -> 5(1(0(1(1(3(4(0(2(5(x1)))))))))) 5(3(2(4(3(1(5(x1))))))) -> 3(2(3(3(1(5(1(2(1(5(x1)))))))))) 5(3(3(3(0(3(0(x1))))))) -> 3(5(3(0(1(3(0(4(1(0(x1)))))))))) 5(3(3(5(0(4(3(x1))))))) -> 1(2(0(1(3(5(3(4(1(4(x1)))))))))) 5(5(0(3(4(3(3(x1))))))) -> 1(5(5(0(5(0(1(5(5(3(x1)))))))))) The (relative) TRS S consists of the following rules: encArg(1(x_1)) -> 1(encArg(x_1)) encArg(cons_3(x_1)) -> 3(encArg(x_1)) encArg(cons_0(x_1)) -> 0(encArg(x_1)) encArg(cons_2(x_1)) -> 2(encArg(x_1)) encArg(cons_5(x_1)) -> 5(encArg(x_1)) encArg(cons_4(x_1)) -> 4(encArg(x_1)) encode_3(x_1) -> 3(encArg(x_1)) encode_0(x_1) -> 0(encArg(x_1)) encode_1(x_1) -> 1(encArg(x_1)) encode_4(x_1) -> 4(encArg(x_1)) encode_5(x_1) -> 5(encArg(x_1)) encode_2(x_1) -> 2(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: 3(3(0(x1))) -> 1(4(1(4(5(4(3(4(1(5(x1)))))))))) 3(3(3(x1))) -> 1(1(3(3(1(1(1(0(1(5(x1)))))))))) 0(4(3(0(x1)))) -> 3(1(2(5(5(2(1(5(1(0(x1)))))))))) 2(4(0(3(x1)))) -> 2(5(2(5(2(5(1(1(2(0(x1)))))))))) 3(0(0(0(x1)))) -> 3(3(1(0(1(5(4(5(2(4(x1)))))))))) 3(3(0(2(x1)))) -> 3(3(4(1(0(4(3(1(1(5(x1)))))))))) 3(3(0(5(x1)))) -> 1(3(2(5(0(1(1(5(0(5(x1)))))))))) 5(4(3(0(x1)))) -> 1(2(5(2(4(1(4(4(2(4(x1)))))))))) 0(2(4(3(2(x1))))) -> 0(2(2(3(1(2(0(0(4(1(x1)))))))))) 0(5(4(3(2(x1))))) -> 3(1(5(5(0(1(5(2(0(2(x1)))))))))) 2(0(3(5(5(x1))))) -> 1(5(4(2(1(0(2(2(4(5(x1)))))))))) 3(3(3(3(0(x1))))) -> 1(3(0(0(0(4(0(4(1(0(x1)))))))))) 3(3(5(5(5(x1))))) -> 4(1(2(0(5(1(2(3(1(3(x1)))))))))) 4(5(3(5(3(x1))))) -> 4(3(1(5(1(2(4(2(1(3(x1)))))))))) 5(2(4(3(0(x1))))) -> 2(4(2(5(4(0(1(1(0(1(x1)))))))))) 5(3(3(2(2(x1))))) -> 2(5(1(4(0(3(1(0(1(5(x1)))))))))) 0(0(3(2(0(3(x1)))))) -> 1(2(5(4(5(4(2(5(1(3(x1)))))))))) 0(2(2(2(3(0(x1)))))) -> 0(2(5(4(5(1(5(4(4(2(x1)))))))))) 0(3(0(3(3(5(x1)))))) -> 0(3(2(4(2(3(5(1(5(0(x1)))))))))) 0(4(3(0(3(3(x1)))))) -> 0(0(1(3(5(4(1(5(5(5(x1)))))))))) 0(5(0(0(3(5(x1)))))) -> 1(3(0(3(1(3(5(1(3(5(x1)))))))))) 0(5(4(5(4(0(x1)))))) -> 0(2(1(2(5(4(5(1(5(5(x1)))))))))) 2(0(3(5(3(0(x1)))))) -> 2(4(5(2(0(1(2(2(3(1(x1)))))))))) 2(2(3(3(4(3(x1)))))) -> 5(2(5(4(5(5(1(3(1(4(x1)))))))))) 3(3(0(5(3(2(x1)))))) -> 3(5(5(4(1(0(5(1(0(4(x1)))))))))) 3(4(0(3(0(2(x1)))))) -> 3(2(0(1(1(3(4(1(1(2(x1)))))))))) 4(0(2(3(5(5(x1)))))) -> 5(1(2(1(1(1(1(0(2(4(x1)))))))))) 4(0(3(0(2(2(x1)))))) -> 4(1(1(5(2(0(5(4(1(1(x1)))))))))) 4(3(4(0(3(3(x1)))))) -> 1(5(2(4(2(4(2(4(0(3(x1)))))))))) 4(5(0(0(3(2(x1)))))) -> 4(4(2(1(1(5(2(5(0(2(x1)))))))))) 4(5(3(5(2(0(x1)))))) -> 5(0(2(5(5(5(4(5(0(1(x1)))))))))) 5(3(3(0(3(2(x1)))))) -> 2(5(4(1(5(3(4(2(5(1(x1)))))))))) 5(5(0(2(0(3(x1)))))) -> 4(1(5(4(4(5(0(2(5(3(x1)))))))))) 0(2(0(3(3(5(5(x1))))))) -> 3(2(2(5(4(4(3(3(1(4(x1)))))))))) 0(2(1(4(3(3(5(x1))))))) -> 0(5(5(1(0(5(3(1(1(4(x1)))))))))) 0(3(0(3(2(3(0(x1))))))) -> 2(3(0(0(4(1(3(1(1(2(x1)))))))))) 0(3(4(0(3(0(3(x1))))))) -> 0(4(1(1(5(1(0(3(5(3(x1)))))))))) 0(3(4(5(3(4(4(x1))))))) -> 2(3(5(0(1(0(1(4(5(0(x1)))))))))) 0(4(3(0(3(3(2(x1))))))) -> 3(1(4(5(3(4(1(1(0(2(x1)))))))))) 0(5(1(0(3(3(2(x1))))))) -> 2(0(4(5(1(1(4(5(5(1(x1)))))))))) 0(5(3(2(2(4(5(x1))))))) -> 0(0(0(1(3(1(1(0(5(3(x1)))))))))) 2(2(3(3(3(3(5(x1))))))) -> 2(2(3(5(4(5(5(1(2(5(x1)))))))))) 2(2(3(5(5(0(0(x1))))))) -> 1(5(3(2(2(3(5(4(3(1(x1)))))))))) 2(4(3(2(3(3(2(x1))))))) -> 2(5(4(0(2(5(4(4(1(1(x1)))))))))) 3(3(0(4(3(0(5(x1))))))) -> 4(1(2(0(2(1(1(4(3(4(x1)))))))))) 3(3(5(2(4(3(2(x1))))))) -> 3(0(4(1(1(5(0(3(1(1(x1)))))))))) 3(3(5(5(4(2(2(x1))))))) -> 3(4(4(4(1(3(4(1(0(2(x1)))))))))) 4(2(3(0(3(3(2(x1))))))) -> 5(5(0(4(1(1(0(4(5(2(x1)))))))))) 4(2(3(3(5(1(3(x1))))))) -> 0(2(5(5(2(4(1(0(2(3(x1)))))))))) 5(0(4(5(4(3(0(x1))))))) -> 5(1(0(1(1(3(4(0(2(5(x1)))))))))) 5(3(2(4(3(1(5(x1))))))) -> 3(2(3(3(1(5(1(2(1(5(x1)))))))))) 5(3(3(3(0(3(0(x1))))))) -> 3(5(3(0(1(3(0(4(1(0(x1)))))))))) 5(3(3(5(0(4(3(x1))))))) -> 1(2(0(1(3(5(3(4(1(4(x1)))))))))) 5(5(0(3(4(3(3(x1))))))) -> 1(5(5(0(5(0(1(5(5(3(x1)))))))))) encArg(1(x_1)) -> 1(encArg(x_1)) encArg(cons_3(x_1)) -> 3(encArg(x_1)) encArg(cons_0(x_1)) -> 0(encArg(x_1)) encArg(cons_2(x_1)) -> 2(encArg(x_1)) encArg(cons_5(x_1)) -> 5(encArg(x_1)) encArg(cons_4(x_1)) -> 4(encArg(x_1)) encode_3(x_1) -> 3(encArg(x_1)) encode_0(x_1) -> 0(encArg(x_1)) encode_1(x_1) -> 1(encArg(x_1)) encode_4(x_1) -> 4(encArg(x_1)) encode_5(x_1) -> 5(encArg(x_1)) encode_2(x_1) -> 2(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. "[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, 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, 675, 676, 677, 678, 679, 680, 681, 682, 683, 684, 685, 686, 687, 688, 689, 690, 691, 692, 693, 694, 695, 696, 697, 698, 699, 700, 701, 702, 703, 704, 705, 706, 707, 708, 709, 710, 711, 712, 713, 714, 715, 716, 717, 718, 719, 720, 721, 722, 723, 724, 725, 726, 727, 728, 729, 730, 731, 732, 733, 734, 735, 736, 737, 738, 739, 740] {(117,118,[3_1|0, 0_1|0, 2_1|0, 5_1|0, 4_1|0, encArg_1|0, encode_3_1|0, encode_0_1|0, encode_1_1|0, encode_4_1|0, encode_5_1|0, encode_2_1|0]), (117,119,[1_1|1, 3_1|1, 0_1|1, 2_1|1, 5_1|1, 4_1|1]), (117,120,[1_1|2]), (117,129,[3_1|2]), (117,138,[1_1|2]), (117,147,[3_1|2]), (117,156,[4_1|2]), (117,165,[1_1|2]), (117,174,[1_1|2]), (117,183,[4_1|2]), (117,192,[3_1|2]), (117,201,[3_1|2]), (117,210,[3_1|2]), (117,219,[3_1|2]), (117,228,[3_1|2]), (117,237,[0_1|2]), (117,246,[3_1|2]), (117,255,[0_1|2]), (117,264,[0_1|2]), (117,273,[3_1|2]), (117,282,[0_1|2]), (117,291,[3_1|2]), (117,300,[0_1|2]), (117,309,[1_1|2]), (117,318,[2_1|2]), (117,327,[0_1|2]), (117,336,[1_1|2]), (117,345,[0_1|2]), (117,354,[2_1|2]), (117,363,[0_1|2]), (117,372,[2_1|2]), (117,381,[2_1|2]), (117,390,[2_1|2]), (117,399,[1_1|2]), (117,408,[2_1|2]), (117,417,[5_1|2]), (117,426,[2_1|2]), (117,435,[1_1|2]), (117,444,[1_1|2]), (117,453,[2_1|2]), (117,462,[2_1|2]), (117,471,[2_1|2]), (117,480,[3_1|2]), (117,489,[1_1|2]), (117,498,[3_1|2]), (117,507,[4_1|2]), (117,516,[1_1|2]), (117,525,[5_1|2]), (117,534,[4_1|2]), (117,543,[5_1|2]), (117,552,[4_1|2]), (117,561,[5_1|2]), (117,570,[4_1|2]), (117,579,[1_1|2]), (117,588,[5_1|2]), (117,597,[0_1|2]), (118,118,[1_1|0, cons_3_1|0, cons_0_1|0, cons_2_1|0, cons_5_1|0, cons_4_1|0]), (119,118,[encArg_1|1]), (119,119,[1_1|1, 3_1|1, 0_1|1, 2_1|1, 5_1|1, 4_1|1]), (119,120,[1_1|2]), (119,129,[3_1|2]), (119,138,[1_1|2]), (119,147,[3_1|2]), (119,156,[4_1|2]), (119,165,[1_1|2]), (119,174,[1_1|2]), (119,183,[4_1|2]), (119,192,[3_1|2]), (119,201,[3_1|2]), (119,210,[3_1|2]), (119,219,[3_1|2]), (119,228,[3_1|2]), (119,237,[0_1|2]), (119,246,[3_1|2]), (119,255,[0_1|2]), (119,264,[0_1|2]), (119,273,[3_1|2]), (119,282,[0_1|2]), (119,291,[3_1|2]), (119,300,[0_1|2]), (119,309,[1_1|2]), (119,318,[2_1|2]), (119,327,[0_1|2]), (119,336,[1_1|2]), (119,345,[0_1|2]), (119,354,[2_1|2]), (119,363,[0_1|2]), (119,372,[2_1|2]), (119,381,[2_1|2]), (119,390,[2_1|2]), (119,399,[1_1|2]), (119,408,[2_1|2]), (119,417,[5_1|2]), (119,426,[2_1|2]), (119,435,[1_1|2]), (119,444,[1_1|2]), (119,453,[2_1|2]), (119,462,[2_1|2]), (119,471,[2_1|2]), (119,480,[3_1|2]), (119,489,[1_1|2]), (119,498,[3_1|2]), (119,507,[4_1|2]), (119,516,[1_1|2]), (119,525,[5_1|2]), (119,534,[4_1|2]), (119,543,[5_1|2]), (119,552,[4_1|2]), (119,561,[5_1|2]), (119,570,[4_1|2]), (119,579,[1_1|2]), (119,588,[5_1|2]), (119,597,[0_1|2]), (120,121,[4_1|2]), (121,122,[1_1|2]), (122,123,[4_1|2]), (123,124,[5_1|2]), (124,125,[4_1|2]), (125,126,[3_1|2]), (126,127,[4_1|2]), (127,128,[1_1|2]), (128,119,[5_1|2]), (128,237,[5_1|2]), (128,255,[5_1|2]), (128,264,[5_1|2]), (128,282,[5_1|2]), (128,300,[5_1|2]), (128,327,[5_1|2]), (128,345,[5_1|2]), (128,363,[5_1|2]), (128,597,[5_1|2]), (128,202,[5_1|2]), (128,444,[1_1|2]), (128,453,[2_1|2]), (128,462,[2_1|2]), (128,471,[2_1|2]), (128,480,[3_1|2]), (128,489,[1_1|2]), (128,498,[3_1|2]), (128,507,[4_1|2]), (128,516,[1_1|2]), (128,525,[5_1|2]), (129,130,[3_1|2]), (130,131,[4_1|2]), (131,132,[1_1|2]), (132,133,[0_1|2]), (133,134,[4_1|2]), (134,135,[3_1|2]), (135,136,[1_1|2]), (136,137,[1_1|2]), (137,119,[5_1|2]), (137,318,[5_1|2]), (137,354,[5_1|2]), (137,372,[5_1|2]), (137,381,[5_1|2]), (137,390,[5_1|2]), (137,408,[5_1|2]), (137,426,[5_1|2]), (137,453,[5_1|2, 2_1|2]), (137,462,[5_1|2, 2_1|2]), (137,471,[5_1|2, 2_1|2]), (137,256,[5_1|2]), (137,265,[5_1|2]), (137,301,[5_1|2]), (137,598,[5_1|2]), (137,444,[1_1|2]), (137,480,[3_1|2]), (137,489,[1_1|2]), (137,498,[3_1|2]), (137,507,[4_1|2]), (137,516,[1_1|2]), (137,525,[5_1|2]), (138,139,[3_1|2]), (139,140,[2_1|2]), (140,141,[5_1|2]), (141,142,[0_1|2]), (142,143,[1_1|2]), (143,144,[1_1|2]), (144,145,[5_1|2]), (145,146,[0_1|2]), (145,291,[3_1|2]), (145,300,[0_1|2]), (145,309,[1_1|2]), (145,318,[2_1|2]), (145,327,[0_1|2]), (146,119,[5_1|2]), (146,417,[5_1|2]), (146,525,[5_1|2]), (146,543,[5_1|2]), (146,561,[5_1|2]), (146,588,[5_1|2]), (146,283,[5_1|2]), (146,444,[1_1|2]), (146,453,[2_1|2]), (146,462,[2_1|2]), (146,471,[2_1|2]), (146,480,[3_1|2]), (146,489,[1_1|2]), (146,498,[3_1|2]), (146,507,[4_1|2]), (146,516,[1_1|2]), (147,148,[5_1|2]), (148,149,[5_1|2]), (149,150,[4_1|2]), (150,151,[1_1|2]), (151,152,[0_1|2]), (152,153,[5_1|2]), (153,154,[1_1|2]), (154,155,[0_1|2]), (154,228,[3_1|2]), (154,237,[0_1|2]), (154,246,[3_1|2]), (154,606,[3_1|3]), (155,119,[4_1|2]), (155,318,[4_1|2]), (155,354,[4_1|2]), (155,372,[4_1|2]), (155,381,[4_1|2]), (155,390,[4_1|2]), (155,408,[4_1|2]), (155,426,[4_1|2]), (155,453,[4_1|2]), (155,462,[4_1|2]), (155,471,[4_1|2]), (155,220,[4_1|2]), (155,274,[4_1|2]), (155,499,[4_1|2]), (155,534,[4_1|2]), (155,543,[5_1|2]), (155,552,[4_1|2]), (155,561,[5_1|2]), (155,570,[4_1|2]), (155,579,[1_1|2]), (155,588,[5_1|2]), (155,597,[0_1|2]), (156,157,[1_1|2]), (157,158,[2_1|2]), (158,159,[0_1|2]), (159,160,[2_1|2]), (160,161,[1_1|2]), (161,162,[1_1|2]), (162,163,[4_1|2]), (162,579,[1_1|2]), (163,164,[3_1|2]), (163,219,[3_1|2]), (164,119,[4_1|2]), (164,417,[4_1|2]), (164,525,[4_1|2]), (164,543,[4_1|2, 5_1|2]), (164,561,[4_1|2, 5_1|2]), (164,588,[4_1|2, 5_1|2]), (164,283,[4_1|2]), (164,534,[4_1|2]), (164,552,[4_1|2]), (164,570,[4_1|2]), (164,579,[1_1|2]), (164,597,[0_1|2]), (165,166,[1_1|2]), (166,167,[3_1|2]), (167,168,[3_1|2]), (168,169,[1_1|2]), (169,170,[1_1|2]), (170,171,[1_1|2]), (171,172,[0_1|2]), (172,173,[1_1|2]), (173,119,[5_1|2]), (173,129,[5_1|2]), (173,147,[5_1|2]), (173,192,[5_1|2]), (173,201,[5_1|2]), (173,210,[5_1|2]), (173,219,[5_1|2]), (173,228,[5_1|2]), (173,246,[5_1|2]), (173,273,[5_1|2]), (173,291,[5_1|2]), (173,480,[5_1|2, 3_1|2]), (173,498,[5_1|2, 3_1|2]), (173,130,[5_1|2]), (173,211,[5_1|2]), (173,444,[1_1|2]), (173,453,[2_1|2]), (173,462,[2_1|2]), (173,471,[2_1|2]), (173,489,[1_1|2]), (173,507,[4_1|2]), (173,516,[1_1|2]), (173,525,[5_1|2]), (174,175,[3_1|2]), (174,615,[3_1|3]), (175,176,[0_1|2]), (176,177,[0_1|2]), (177,178,[0_1|2]), (178,179,[4_1|2]), (179,180,[0_1|2]), (180,181,[4_1|2]), (181,182,[1_1|2]), (182,119,[0_1|2]), (182,237,[0_1|2]), (182,255,[0_1|2]), (182,264,[0_1|2]), (182,282,[0_1|2]), (182,300,[0_1|2]), (182,327,[0_1|2]), (182,345,[0_1|2]), (182,363,[0_1|2]), (182,597,[0_1|2]), (182,202,[0_1|2]), (182,228,[3_1|2]), (182,246,[3_1|2]), (182,273,[3_1|2]), (182,291,[3_1|2]), (182,309,[1_1|2]), (182,318,[2_1|2]), (182,336,[1_1|2]), (182,354,[2_1|2]), (182,372,[2_1|2]), (183,184,[1_1|2]), (184,185,[2_1|2]), (185,186,[0_1|2]), (186,187,[5_1|2]), (187,188,[1_1|2]), (188,189,[2_1|2]), (189,190,[3_1|2]), (190,191,[1_1|2]), (191,119,[3_1|2]), (191,417,[3_1|2]), (191,525,[3_1|2]), (191,543,[3_1|2]), (191,561,[3_1|2]), (191,588,[3_1|2]), (191,589,[3_1|2]), (191,120,[1_1|2]), (191,129,[3_1|2]), (191,138,[1_1|2]), (191,147,[3_1|2]), (191,156,[4_1|2]), (191,165,[1_1|2]), (191,174,[1_1|2]), (191,183,[4_1|2]), (191,192,[3_1|2]), (191,201,[3_1|2]), (191,210,[3_1|2]), (191,219,[3_1|2]), (191,624,[1_1|3]), (191,633,[1_1|3]), (191,642,[3_1|3]), (192,193,[4_1|2]), (193,194,[4_1|2]), (194,195,[4_1|2]), (195,196,[1_1|2]), (196,197,[3_1|2]), (197,198,[4_1|2]), (198,199,[1_1|2]), (199,200,[0_1|2]), (199,255,[0_1|2]), (199,264,[0_1|2]), (199,273,[3_1|2]), (199,282,[0_1|2]), (200,119,[2_1|2]), (200,318,[2_1|2]), (200,354,[2_1|2]), (200,372,[2_1|2]), (200,381,[2_1|2]), (200,390,[2_1|2]), (200,408,[2_1|2]), (200,426,[2_1|2]), (200,453,[2_1|2]), (200,462,[2_1|2]), (200,471,[2_1|2]), (200,427,[2_1|2]), (200,399,[1_1|2]), (200,417,[5_1|2]), (200,435,[1_1|2]), (201,202,[0_1|2]), (202,203,[4_1|2]), (203,204,[1_1|2]), (204,205,[1_1|2]), (205,206,[5_1|2]), (206,207,[0_1|2]), (207,208,[3_1|2]), (208,209,[1_1|2]), (209,119,[1_1|2]), (209,318,[1_1|2]), (209,354,[1_1|2]), (209,372,[1_1|2]), (209,381,[1_1|2]), (209,390,[1_1|2]), (209,408,[1_1|2]), (209,426,[1_1|2]), (209,453,[1_1|2]), (209,462,[1_1|2]), (209,471,[1_1|2]), (209,220,[1_1|2]), (209,274,[1_1|2]), (209,499,[1_1|2]), (210,211,[3_1|2]), (211,212,[1_1|2]), (212,213,[0_1|2]), (213,214,[1_1|2]), (214,215,[5_1|2]), (215,216,[4_1|2]), (216,217,[5_1|2]), (216,453,[2_1|2]), (216,651,[2_1|3]), (217,218,[2_1|2]), (217,381,[2_1|2]), (217,390,[2_1|2]), (217,660,[2_1|3]), (218,119,[4_1|2]), (218,237,[4_1|2]), (218,255,[4_1|2]), (218,264,[4_1|2]), (218,282,[4_1|2]), (218,300,[4_1|2]), (218,327,[4_1|2]), (218,345,[4_1|2]), (218,363,[4_1|2]), (218,597,[4_1|2, 0_1|2]), (218,238,[4_1|2]), (218,328,[4_1|2]), (218,329,[4_1|2]), (218,534,[4_1|2]), (218,543,[5_1|2]), (218,552,[4_1|2]), (218,561,[5_1|2]), (218,570,[4_1|2]), (218,579,[1_1|2]), (218,588,[5_1|2]), (219,220,[2_1|2]), (220,221,[0_1|2]), (221,222,[1_1|2]), (222,223,[1_1|2]), (223,224,[3_1|2]), (224,225,[4_1|2]), (225,226,[1_1|2]), (226,227,[1_1|2]), (227,119,[2_1|2]), (227,318,[2_1|2]), (227,354,[2_1|2]), (227,372,[2_1|2]), (227,381,[2_1|2]), (227,390,[2_1|2]), (227,408,[2_1|2]), (227,426,[2_1|2]), 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(694,695,[4_1|3]), (695,149,[5_1|3]), (696,697,[4_1|3]), (697,698,[5_1|3]), (698,699,[2_1|3]), (699,700,[0_1|3]), (700,701,[1_1|3]), (701,702,[2_1|3]), (702,703,[2_1|3]), (703,704,[3_1|3]), (704,483,[1_1|3]), (705,706,[3_1|3]), (706,707,[1_1|3]), (707,708,[5_1|3]), (708,709,[1_1|3]), (709,710,[2_1|3]), (710,711,[4_1|3]), (711,712,[2_1|3]), (712,713,[1_1|3]), (713,482,[3_1|3]), (714,715,[2_1|3]), (715,716,[2_1|3]), (716,717,[3_1|3]), (717,718,[1_1|3]), (718,719,[2_1|3]), (719,720,[0_1|3]), (720,721,[0_1|3]), (721,722,[4_1|3]), (722,220,[1_1|3]), (722,274,[1_1|3]), (722,499,[1_1|3]), (723,724,[5_1|3]), (724,725,[2_1|3]), (725,726,[5_1|3]), (726,727,[2_1|3]), (727,728,[5_1|3]), (728,729,[1_1|3]), (729,730,[1_1|3]), (730,731,[2_1|3]), (730,399,[1_1|2]), (730,408,[2_1|2]), (730,687,[1_1|3]), (730,696,[2_1|3]), (731,119,[0_1|3]), (731,129,[0_1|3]), (731,147,[0_1|3]), (731,192,[0_1|3]), (731,201,[0_1|3]), (731,210,[0_1|3]), (731,219,[0_1|3]), (731,228,[0_1|3, 3_1|2]), (731,246,[0_1|3, 3_1|2]), (731,273,[0_1|3, 3_1|2]), (731,291,[0_1|3, 3_1|2]), (731,480,[0_1|3]), (731,498,[0_1|3]), (731,130,[0_1|3]), (731,211,[0_1|3]), (731,642,[0_1|3]), (731,346,[0_1|3]), (731,237,[0_1|2]), (731,255,[0_1|2]), (731,264,[0_1|2]), (731,282,[0_1|2]), (731,300,[0_1|2]), (731,309,[1_1|2]), (731,318,[2_1|2]), (731,327,[0_1|2]), (731,336,[1_1|2]), (731,345,[0_1|2]), (731,354,[2_1|2]), (731,363,[0_1|2]), (731,372,[2_1|2]), (732,733,[1_1|3]), (733,734,[1_1|3]), (734,735,[5_1|3]), (735,736,[2_1|3]), (736,737,[0_1|3]), (737,738,[5_1|3]), (738,739,[4_1|3]), (739,740,[1_1|3]), (740,257,[1_1|3])}" ---------------------------------------- (8) BOUNDS(1, n^1)