/export/starexec/sandbox2/solver/bin/starexec_run_rcdcRelativeAlsoLower /export/starexec/sandbox2/benchmark/theBenchmark.xml /export/starexec/sandbox2/output/output_files -------------------------------------------------------------------------------- WORST_CASE(?, O(n^1)) proof of /export/starexec/sandbox2/benchmark/theBenchmark.xml # AProVE Commit ID: 794c25de1cacf0d048858bcd21c9a779e1221865 marcel 20200619 unpublished dirty The Derivational Complexity (full) of the given DCpxTrs could be proven to be BOUNDS(1, n^1).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), 94 ms] (4) CpxRelTRS (5) RelTrsToTrsProof [UPPER BOUND(ID), 0 ms] (6) CpxTRS (7) CpxTrsMatchBoundsProof [FINISHED, 229 ms] (8) BOUNDS(1, n^1) ---------------------------------------- (0) Obligation: The Derivational Complexity (full) 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: FULL ---------------------------------------- (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 (full) 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: FULL ---------------------------------------- (3) SInnermostTerminationProof (BOTH CONCRETE BOUNDS(ID, ID)) proved innermost termination of relative rules ---------------------------------------- (4) Obligation: The Runtime Complexity (full) 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: FULL ---------------------------------------- (5) RelTrsToTrsProof (UPPER BOUND(ID)) transformed relative TRS to TRS ---------------------------------------- (6) Obligation: The Runtime Complexity (full) 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: FULL ---------------------------------------- (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. "[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] {(124,125,[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]), (124,126,[0_1|1, 3_1|1, 5_1|1, 1_1|1, 4_1|1, 2_1|1]), (124,127,[2_1|2]), (124,136,[0_1|2]), (124,145,[2_1|2]), (124,154,[1_1|2]), (124,163,[2_1|2]), (124,172,[2_1|2]), (124,181,[2_1|2]), (124,190,[0_1|2]), (124,199,[1_1|2]), (124,208,[0_1|2]), (124,217,[1_1|2]), (124,226,[3_1|2]), (124,235,[2_1|2]), (124,244,[1_1|2]), (124,253,[1_1|2]), (124,262,[1_1|2]), (124,271,[3_1|2]), (124,280,[5_1|2]), (124,289,[3_1|2]), (124,298,[5_1|2]), (124,307,[3_1|2]), (124,316,[5_1|2]), (124,325,[1_1|2]), (124,334,[3_1|2]), (124,343,[5_1|2]), (124,352,[5_1|2]), (124,361,[5_1|2]), (124,370,[2_1|2]), (124,379,[2_1|2]), (124,388,[2_1|2]), (124,397,[3_1|2]), (124,406,[3_1|2]), (124,415,[2_1|2]), (124,424,[3_1|2]), (124,433,[2_1|2]), (124,442,[5_1|2]), (124,451,[5_1|2]), (124,460,[3_1|2]), (124,469,[2_1|2]), (124,478,[2_1|2]), (124,487,[1_1|2]), (124,496,[2_1|2]), (124,505,[1_1|2]), (124,514,[1_1|2]), (124,523,[2_1|2]), (124,532,[3_1|2]), (124,541,[4_1|2]), (124,550,[4_1|2]), (124,559,[1_1|2]), (124,568,[4_1|2]), (124,577,[4_1|2]), (124,586,[4_1|2]), (124,595,[4_1|2]), (124,604,[2_1|2]), (125,125,[cons_0_1|0, cons_3_1|0, cons_5_1|0, cons_1_1|0, cons_4_1|0, cons_2_1|0]), (126,125,[encArg_1|1]), (126,126,[0_1|1, 3_1|1, 5_1|1, 1_1|1, 4_1|1, 2_1|1]), (126,127,[2_1|2]), (126,136,[0_1|2]), (126,145,[2_1|2]), (126,154,[1_1|2]), (126,163,[2_1|2]), (126,172,[2_1|2]), (126,181,[2_1|2]), (126,190,[0_1|2]), (126,199,[1_1|2]), (126,208,[0_1|2]), (126,217,[1_1|2]), (126,226,[3_1|2]), (126,235,[2_1|2]), (126,244,[1_1|2]), (126,253,[1_1|2]), (126,262,[1_1|2]), (126,271,[3_1|2]), (126,280,[5_1|2]), (126,289,[3_1|2]), (126,298,[5_1|2]), (126,307,[3_1|2]), (126,316,[5_1|2]), (126,325,[1_1|2]), (126,334,[3_1|2]), (126,343,[5_1|2]), (126,352,[5_1|2]), (126,361,[5_1|2]), (126,370,[2_1|2]), (126,379,[2_1|2]), (126,388,[2_1|2]), (126,397,[3_1|2]), (126,406,[3_1|2]), (126,415,[2_1|2]), (126,424,[3_1|2]), (126,433,[2_1|2]), (126,442,[5_1|2]), (126,451,[5_1|2]), (126,460,[3_1|2]), (126,469,[2_1|2]), (126,478,[2_1|2]), (126,487,[1_1|2]), (126,496,[2_1|2]), (126,505,[1_1|2]), (126,514,[1_1|2]), (126,523,[2_1|2]), (126,532,[3_1|2]), (126,541,[4_1|2]), (126,550,[4_1|2]), (126,559,[1_1|2]), (126,568,[4_1|2]), (126,577,[4_1|2]), (126,586,[4_1|2]), (126,595,[4_1|2]), (126,604,[2_1|2]), (127,128,[2_1|2]), (128,129,[4_1|2]), (129,130,[4_1|2]), (130,131,[0_1|2]), (131,132,[2_1|2]), (132,133,[3_1|2]), (133,134,[3_1|2]), (134,135,[1_1|2]), (135,126,[5_1|2]), (135,226,[5_1|2]), (135,271,[5_1|2]), (135,289,[5_1|2]), (135,307,[5_1|2]), (135,334,[5_1|2, 3_1|2]), (135,397,[5_1|2, 3_1|2]), (135,406,[5_1|2, 3_1|2]), (135,424,[5_1|2, 3_1|2]), (135,460,[5_1|2, 3_1|2]), (135,532,[5_1|2]), (135,316,[5_1|2]), (135,325,[1_1|2]), (135,343,[5_1|2]), (135,352,[5_1|2]), (135,361,[5_1|2]), (135,370,[2_1|2]), (135,379,[2_1|2]), (135,388,[2_1|2]), (135,415,[2_1|2]), (135,433,[2_1|2]), (135,442,[5_1|2]), (135,451,[5_1|2]), (135,469,[2_1|2]), (135,478,[2_1|2]), (136,137,[1_1|2]), (137,138,[1_1|2]), (138,139,[5_1|2]), (139,140,[2_1|2]), (140,141,[2_1|2]), (141,142,[2_1|2]), (142,143,[3_1|2]), (143,144,[4_1|2]), (143,568,[4_1|2]), (143,577,[4_1|2]), (144,126,[3_1|2]), (144,136,[3_1|2]), (144,190,[3_1|2]), (144,208,[3_1|2]), (144,235,[2_1|2]), (144,244,[1_1|2]), (144,253,[1_1|2]), (144,262,[1_1|2]), (144,271,[3_1|2]), (144,280,[5_1|2]), (144,289,[3_1|2]), (144,298,[5_1|2]), (144,307,[3_1|2]), (144,613,[2_1|3]), (145,146,[5_1|2]), (146,147,[1_1|2]), (147,148,[0_1|2]), (148,149,[1_1|2]), (149,150,[4_1|2]), (150,151,[2_1|2]), (151,152,[2_1|2]), (152,153,[4_1|2]), (152,586,[4_1|2]), (153,126,[4_1|2]), (153,541,[4_1|2]), (153,550,[4_1|2]), (153,568,[4_1|2]), (153,577,[4_1|2]), (153,586,[4_1|2]), (153,595,[4_1|2]), (153,488,[4_1|2]), (153,506,[4_1|2]), (153,532,[3_1|2]), (153,559,[1_1|2]), (154,155,[5_1|2]), (155,156,[3_1|2]), (156,157,[2_1|2]), (157,158,[1_1|2]), (158,159,[3_1|2]), (159,160,[1_1|2]), (160,161,[4_1|2]), (161,162,[1_1|2]), (161,505,[1_1|2]), (161,514,[1_1|2]), (161,523,[2_1|2]), (162,126,[4_1|2]), (162,541,[4_1|2]), (162,550,[4_1|2]), (162,568,[4_1|2]), (162,577,[4_1|2]), (162,586,[4_1|2]), (162,595,[4_1|2]), (162,488,[4_1|2]), (162,506,[4_1|2]), (162,532,[3_1|2]), (162,559,[1_1|2]), (163,164,[2_1|2]), (164,165,[3_1|2]), (165,166,[1_1|2]), (166,167,[1_1|2]), (167,168,[3_1|2]), (168,169,[5_1|2]), (169,170,[0_1|2]), (169,172,[2_1|2]), (170,171,[5_1|2]), (170,370,[2_1|2]), (171,126,[1_1|2]), (171,541,[1_1|2]), (171,550,[1_1|2]), (171,568,[1_1|2]), (171,577,[1_1|2]), (171,586,[1_1|2]), (171,595,[1_1|2]), (171,542,[1_1|2]), (171,578,[1_1|2]), (171,487,[1_1|2]), (171,496,[2_1|2]), (171,505,[1_1|2]), (171,514,[1_1|2]), (171,523,[2_1|2]), (172,173,[2_1|2]), (173,174,[0_1|2]), (173,622,[2_1|3]), (174,175,[0_1|2]), (175,176,[3_1|2]), (176,177,[2_1|2]), (177,178,[0_1|2]), (178,179,[1_1|2]), (179,180,[5_1|2]), (179,451,[5_1|2]), (179,460,[3_1|2]), (180,126,[3_1|2]), (180,136,[3_1|2]), (180,190,[3_1|2]), (180,208,[3_1|2]), (180,235,[2_1|2]), (180,244,[1_1|2]), (180,253,[1_1|2]), (180,262,[1_1|2]), (180,271,[3_1|2]), (180,280,[5_1|2]), (180,289,[3_1|2]), (180,298,[5_1|2]), (180,307,[3_1|2]), (180,613,[2_1|3]), (181,182,[2_1|2]), (182,183,[1_1|2]), (183,184,[1_1|2]), (184,185,[0_1|2]), (185,186,[4_1|2]), (186,187,[3_1|2]), (187,188,[3_1|2]), (188,189,[1_1|2]), (189,126,[3_1|2]), (189,136,[3_1|2]), (189,190,[3_1|2]), (189,208,[3_1|2]), (189,235,[2_1|2]), (189,244,[1_1|2]), (189,253,[1_1|2]), (189,262,[1_1|2]), (189,271,[3_1|2]), (189,280,[5_1|2]), (189,289,[3_1|2]), (189,298,[5_1|2]), (189,307,[3_1|2]), (189,613,[2_1|3]), (190,191,[1_1|2]), (191,192,[3_1|2]), (192,193,[1_1|2]), (193,194,[3_1|2]), (194,195,[1_1|2]), (195,196,[3_1|2]), (196,197,[5_1|2]), (197,198,[3_1|2]), (198,126,[2_1|2]), (198,136,[2_1|2]), (198,190,[2_1|2]), (198,208,[2_1|2]), (198,604,[2_1|2]), (199,200,[1_1|2]), (200,201,[1_1|2]), (201,202,[3_1|2]), (202,203,[2_1|2]), (203,204,[1_1|2]), (204,205,[2_1|2]), (205,206,[5_1|2]), (205,370,[2_1|2]), (206,207,[1_1|2]), (207,126,[5_1|2]), (207,136,[5_1|2]), (207,190,[5_1|2]), (207,208,[5_1|2]), (207,551,[5_1|2]), (207,316,[5_1|2]), (207,325,[1_1|2]), (207,334,[3_1|2]), (207,343,[5_1|2]), (207,352,[5_1|2]), (207,361,[5_1|2]), (207,370,[2_1|2]), (207,379,[2_1|2]), (207,388,[2_1|2]), (207,397,[3_1|2]), (207,406,[3_1|2]), (207,415,[2_1|2]), (207,424,[3_1|2]), (207,433,[2_1|2]), (207,442,[5_1|2]), (207,451,[5_1|2]), (207,460,[3_1|2]), (207,469,[2_1|2]), (207,478,[2_1|2]), (208,209,[2_1|2]), (209,210,[1_1|2]), (210,211,[2_1|2]), (211,212,[2_1|2]), (212,213,[2_1|2]), (213,214,[0_1|2]), (214,215,[0_1|2]), (215,216,[1_1|2]), (216,126,[2_1|2]), (216,127,[2_1|2]), (216,145,[2_1|2]), (216,163,[2_1|2]), (216,172,[2_1|2]), (216,181,[2_1|2]), (216,235,[2_1|2]), (216,370,[2_1|2]), (216,379,[2_1|2]), (216,388,[2_1|2]), (216,415,[2_1|2]), (216,433,[2_1|2]), (216,469,[2_1|2]), (216,478,[2_1|2]), (216,496,[2_1|2]), (216,523,[2_1|2]), (216,604,[2_1|2]), (217,218,[1_1|2]), (218,219,[1_1|2]), (219,220,[3_1|2]), (220,221,[0_1|2]), (221,222,[3_1|2]), (222,223,[1_1|2]), (223,224,[3_1|2]), (223,307,[3_1|2]), (224,225,[0_1|2]), (224,145,[2_1|2]), (224,154,[1_1|2]), (224,163,[2_1|2]), (224,172,[2_1|2]), (224,181,[2_1|2]), (225,126,[5_1|2]), (225,280,[5_1|2]), (225,298,[5_1|2]), (225,316,[5_1|2]), (225,343,[5_1|2]), (225,352,[5_1|2]), (225,361,[5_1|2]), (225,442,[5_1|2]), (225,451,[5_1|2]), (225,443,[5_1|2]), (225,325,[1_1|2]), (225,334,[3_1|2]), (225,370,[2_1|2]), (225,379,[2_1|2]), (225,388,[2_1|2]), (225,397,[3_1|2]), (225,406,[3_1|2]), (225,415,[2_1|2]), (225,424,[3_1|2]), (225,433,[2_1|2]), (225,460,[3_1|2]), (225,469,[2_1|2]), (225,478,[2_1|2]), (226,227,[2_1|2]), (227,228,[1_1|2]), (228,229,[3_1|2]), (229,230,[5_1|2]), (230,231,[2_1|2]), (231,232,[1_1|2]), (232,233,[1_1|2]), (233,234,[2_1|2]), (234,126,[2_1|2]), (234,127,[2_1|2]), (234,145,[2_1|2]), (234,163,[2_1|2]), (234,172,[2_1|2]), (234,181,[2_1|2]), (234,235,[2_1|2]), (234,370,[2_1|2]), (234,379,[2_1|2]), (234,388,[2_1|2]), (234,415,[2_1|2]), (234,433,[2_1|2]), (234,469,[2_1|2]), (234,478,[2_1|2]), (234,496,[2_1|2]), (234,523,[2_1|2]), (234,604,[2_1|2]), (234,254,[2_1|2]), (234,263,[2_1|2]), (234,327,[2_1|2]), (235,236,[1_1|2]), (236,237,[2_1|2]), (237,238,[2_1|2]), (238,239,[4_1|2]), (239,240,[4_1|2]), (240,241,[1_1|2]), (241,242,[3_1|2]), (242,243,[2_1|2]), (243,126,[3_1|2]), (243,136,[3_1|2]), (243,190,[3_1|2]), (243,208,[3_1|2]), (243,551,[3_1|2]), (243,235,[2_1|2]), (243,244,[1_1|2]), (243,253,[1_1|2]), (243,262,[1_1|2]), (243,271,[3_1|2]), (243,280,[5_1|2]), (243,289,[3_1|2]), (243,298,[5_1|2]), (243,307,[3_1|2]), (243,613,[2_1|3]), (244,245,[3_1|2]), (245,246,[1_1|2]), (246,247,[3_1|2]), (247,248,[2_1|2]), (248,249,[4_1|2]), (249,250,[2_1|2]), (250,251,[2_1|2]), (251,252,[4_1|2]), (251,595,[4_1|2]), (252,126,[5_1|2]), (252,541,[5_1|2]), (252,550,[5_1|2]), (252,568,[5_1|2]), (252,577,[5_1|2]), (252,586,[5_1|2]), (252,595,[5_1|2]), (252,316,[5_1|2]), (252,325,[1_1|2]), (252,334,[3_1|2]), (252,343,[5_1|2]), (252,352,[5_1|2]), (252,361,[5_1|2]), (252,370,[2_1|2]), (252,379,[2_1|2]), (252,388,[2_1|2]), (252,397,[3_1|2]), (252,406,[3_1|2]), (252,415,[2_1|2]), (252,424,[3_1|2]), (252,433,[2_1|2]), (252,442,[5_1|2]), (252,451,[5_1|2]), (252,460,[3_1|2]), (252,469,[2_1|2]), (252,478,[2_1|2]), (253,254,[2_1|2]), (254,255,[3_1|2]), (255,256,[2_1|2]), (256,257,[2_1|2]), (257,258,[4_1|2]), (258,259,[0_1|2]), (259,260,[4_1|2]), (260,261,[0_1|2]), (261,126,[1_1|2]), (261,127,[1_1|2]), (261,145,[1_1|2]), (261,163,[1_1|2]), (261,172,[1_1|2]), (261,181,[1_1|2]), (261,235,[1_1|2]), (261,370,[1_1|2]), (261,379,[1_1|2]), (261,388,[1_1|2]), (261,415,[1_1|2]), (261,433,[1_1|2]), (261,469,[1_1|2]), (261,478,[1_1|2]), (261,496,[1_1|2, 2_1|2]), (261,523,[1_1|2, 2_1|2]), (261,604,[1_1|2]), (261,487,[1_1|2]), (261,505,[1_1|2]), (261,514,[1_1|2]), (262,263,[2_1|2]), (263,264,[2_1|2]), (264,265,[0_1|2]), (265,266,[0_1|2]), (266,267,[4_1|2]), (267,268,[3_1|2]), (268,269,[0_1|2]), (269,270,[1_1|2]), (269,487,[1_1|2]), (269,496,[2_1|2]), (270,126,[0_1|2]), (270,136,[0_1|2]), (270,190,[0_1|2]), (270,208,[0_1|2]), (270,551,[0_1|2]), 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(558,478,[2_1|2]), (559,560,[3_1|2]), (560,561,[1_1|2]), (561,562,[0_1|2]), (562,563,[5_1|2]), (563,564,[2_1|2]), (564,565,[2_1|2]), (565,566,[3_1|2]), (566,567,[2_1|2]), (567,126,[3_1|2]), (567,226,[3_1|2]), (567,271,[3_1|2]), (567,289,[3_1|2]), (567,307,[3_1|2]), (567,334,[3_1|2]), (567,397,[3_1|2]), (567,406,[3_1|2]), (567,424,[3_1|2]), (567,460,[3_1|2]), (567,532,[3_1|2]), (567,235,[2_1|2]), (567,244,[1_1|2]), (567,253,[1_1|2]), (567,262,[1_1|2]), (567,280,[5_1|2]), (567,298,[5_1|2]), (567,613,[2_1|3]), (568,569,[3_1|2]), (569,570,[2_1|2]), (570,571,[5_1|2]), (571,572,[5_1|2]), (572,573,[2_1|2]), (573,574,[5_1|2]), (574,575,[2_1|2]), (575,576,[0_1|2]), (575,190,[0_1|2]), (576,126,[2_1|2]), (576,127,[2_1|2]), (576,145,[2_1|2]), (576,163,[2_1|2]), (576,172,[2_1|2]), (576,181,[2_1|2]), (576,235,[2_1|2]), (576,370,[2_1|2]), (576,379,[2_1|2]), (576,388,[2_1|2]), (576,415,[2_1|2]), (576,433,[2_1|2]), (576,469,[2_1|2]), (576,478,[2_1|2]), (576,496,[2_1|2]), (576,523,[2_1|2]), (576,604,[2_1|2]), (577,578,[4_1|2]), (578,579,[3_1|2]), (579,580,[1_1|2]), (580,581,[2_1|2]), (581,582,[4_1|2]), (582,583,[5_1|2]), (583,584,[1_1|2]), (584,585,[3_1|2]), (585,126,[2_1|2]), (585,136,[2_1|2]), (585,190,[2_1|2]), (585,208,[2_1|2]), (585,604,[2_1|2]), (586,587,[1_1|2]), (587,588,[5_1|2]), (588,589,[5_1|2]), (589,590,[5_1|2]), (590,591,[2_1|2]), (591,592,[1_1|2]), (592,593,[3_1|2]), (593,594,[2_1|2]), (594,126,[5_1|2]), (594,280,[5_1|2]), (594,298,[5_1|2]), (594,316,[5_1|2]), (594,343,[5_1|2]), (594,352,[5_1|2]), (594,361,[5_1|2]), (594,442,[5_1|2]), (594,451,[5_1|2]), (594,325,[1_1|2]), (594,334,[3_1|2]), (594,370,[2_1|2]), (594,379,[2_1|2]), (594,388,[2_1|2]), (594,397,[3_1|2]), (594,406,[3_1|2]), (594,415,[2_1|2]), (594,424,[3_1|2]), (594,433,[2_1|2]), (594,460,[3_1|2]), (594,469,[2_1|2]), (594,478,[2_1|2]), (595,596,[1_1|2]), (596,597,[0_1|2]), (597,598,[2_1|2]), (598,599,[3_1|2]), (599,600,[3_1|2]), (600,601,[5_1|2]), (601,602,[2_1|2]), (602,603,[5_1|2]), (602,370,[2_1|2]), (603,126,[1_1|2]), (603,154,[1_1|2]), (603,199,[1_1|2]), (603,217,[1_1|2]), (603,244,[1_1|2]), (603,253,[1_1|2]), (603,262,[1_1|2]), (603,325,[1_1|2]), (603,487,[1_1|2]), (603,505,[1_1|2]), (603,514,[1_1|2]), (603,559,[1_1|2]), (603,587,[1_1|2]), (603,596,[1_1|2]), (603,496,[2_1|2]), (603,523,[2_1|2]), (604,605,[1_1|2]), (605,606,[2_1|2]), (606,607,[0_1|2]), (607,608,[4_1|2]), (608,609,[3_1|2]), (609,610,[4_1|2]), (610,611,[3_1|2]), (611,612,[2_1|2]), (612,126,[2_1|2]), (612,280,[2_1|2]), (612,298,[2_1|2]), (612,316,[2_1|2]), (612,343,[2_1|2]), (612,352,[2_1|2]), (612,361,[2_1|2]), (612,442,[2_1|2]), (612,451,[2_1|2]), (612,425,[2_1|2]), (612,604,[2_1|2]), (613,614,[1_1|3]), (614,615,[2_1|3]), (615,616,[2_1|3]), (616,617,[4_1|3]), (617,618,[4_1|3]), (618,619,[1_1|3]), (619,620,[3_1|3]), (620,621,[2_1|3]), (621,551,[3_1|3]), (622,623,[2_1|3]), (623,624,[4_1|3]), (624,625,[4_1|3]), (625,626,[0_1|3]), (626,627,[2_1|3]), (627,628,[3_1|3]), (628,629,[3_1|3]), (629,630,[1_1|3]), (630,176,[5_1|3]), (631,632,[2_1|3]), (632,633,[4_1|3]), (633,634,[4_1|3]), (634,635,[0_1|3]), (635,636,[2_1|3]), (636,637,[3_1|3]), (637,638,[3_1|3]), (638,639,[1_1|3]), (639,348,[5_1|3]), (640,641,[2_1|3]), (641,642,[4_1|3]), (642,643,[4_1|3]), (643,644,[0_1|3]), (644,645,[2_1|3]), (645,646,[3_1|3]), (646,647,[3_1|3]), (647,648,[1_1|3]), (648,226,[5_1|3]), (648,271,[5_1|3]), (648,289,[5_1|3]), (648,307,[5_1|3]), (648,334,[5_1|3]), (648,397,[5_1|3]), (648,406,[5_1|3]), (648,424,[5_1|3]), (648,460,[5_1|3]), (648,532,[5_1|3]), (648,569,[5_1|3]), (649,650,[1_1|3]), (650,651,[2_1|3]), (651,652,[2_1|3]), (652,653,[4_1|3]), (653,654,[4_1|3]), (654,655,[1_1|3]), (655,656,[3_1|3]), (656,657,[2_1|3]), (657,418,[3_1|3])}" ---------------------------------------- (8) BOUNDS(1, n^1)