/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# AProVE Commit ID: 794c25de1cacf0d048858bcd21c9a779e1221865 marcel 20200619 unpublished dirty The Derivational Complexity (full) of the given DCpxTrs could be proven to be BOUNDS(1, n^1).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), 51 ms] (4) CpxRelTRS (5) RelTrsToTrsProof [UPPER BOUND(ID), 0 ms] (6) CpxTRS (7) CpxTrsMatchBoundsProof [FINISHED, 211 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(1(2(x1))) -> 0(3(0(0(2(4(2(2(5(1(x1)))))))))) 1(0(4(2(x1)))) -> 0(0(3(5(3(0(0(2(0(2(x1)))))))))) 2(4(1(3(x1)))) -> 4(3(5(5(1(3(1(2(4(5(x1)))))))))) 4(1(2(5(x1)))) -> 4(0(0(2(2(4(3(1(3(5(x1)))))))))) 4(1(3(0(x1)))) -> 4(3(0(5(0(0(5(0(0(4(x1)))))))))) 0(1(4(1(3(x1))))) -> 0(2(5(0(5(0(0(2(4(5(x1)))))))))) 4(1(2(1(1(x1))))) -> 4(5(5(5(1(5(2(3(1(0(x1)))))))))) 5(2(4(2(0(x1))))) -> 4(0(0(0(1(0(0(2(2(0(x1)))))))))) 5(4(1(2(2(x1))))) -> 3(1(3(3(5(5(1(3(0(2(x1)))))))))) 5(4(1(2(2(x1))))) -> 3(3(0(0(0(4(1(0(5(1(x1)))))))))) 5(4(2(0(5(x1))))) -> 5(5(5(1(0(0(2(1(4(5(x1)))))))))) 0(4(4(4(5(3(x1)))))) -> 0(1(0(3(0(0(2(5(0(0(x1)))))))))) 2(0(3(4(4(4(x1)))))) -> 3(5(3(0(0(3(1(2(0(4(x1)))))))))) 2(0(4(0(1(4(x1)))))) -> 3(5(5(1(4(3(1(5(4(0(x1)))))))))) 2(3(3(4(4(1(x1)))))) -> 2(0(0(3(1(2(2(5(5(2(x1)))))))))) 2(4(1(2(1(1(x1)))))) -> 2(0(0(4(0(5(3(0(1(0(x1)))))))))) 2(5(2(0(1(0(x1)))))) -> 2(1(0(0(3(0(4(0(0(0(x1)))))))))) 3(1(5(4(2(0(x1)))))) -> 0(3(3(0(0(3(1(1(3(0(x1)))))))))) 4(0(5(2(3(1(x1)))))) -> 0(2(1(5(0(0(0(2(5(3(x1)))))))))) 4(2(4(5(2(3(x1)))))) -> 2(4(4(0(0(2(3(1(4(3(x1)))))))))) 5(2(4(1(5(2(x1)))))) -> 3(0(2(4(2(0(0(3(5(1(x1)))))))))) 5(2(4(4(4(1(x1)))))) -> 2(0(4(0(3(1(3(5(0(2(x1)))))))))) 5(4(5(2(4(1(x1)))))) -> 3(0(0(0(2(5(2(4(1(2(x1)))))))))) 0(4(3(5(4(2(0(x1))))))) -> 0(0(3(0(0(1(5(0(0(0(x1)))))))))) 1(1(5(0(1(5(2(x1))))))) -> 5(5(1(0(5(5(5(5(5(2(x1)))))))))) 1(2(2(3(1(0(1(x1))))))) -> 1(4(0(0(2(2(2(5(0(4(x1)))))))))) 1(3(0(4(3(4(4(x1))))))) -> 1(3(0(0(2(5(5(5(1(1(x1)))))))))) 2(0(1(1(1(5(2(x1))))))) -> 2(5(0(0(1(0(4(3(5(1(x1)))))))))) 2(0(1(5(0(2(1(x1))))))) -> 2(3(0(0(3(4(0(0(4(0(x1)))))))))) 2(2(0(4(4(2(1(x1))))))) -> 3(1(0(3(3(0(1(4(0(0(x1)))))))))) 2(5(3(4(1(3(4(x1))))))) -> 0(0(0(4(3(1(0(0(3(4(x1)))))))))) 2(5(5(4(2(0(4(x1))))))) -> 2(1(2(2(4(5(5(2(3(0(x1)))))))))) 2(5(5(4(5(3(4(x1))))))) -> 2(4(5(0(0(3(5(1(1(1(x1)))))))))) 3(0(1(1(4(0(5(x1))))))) -> 4(0(2(3(5(3(0(0(2(3(x1)))))))))) 3(2(4(5(4(5(3(x1))))))) -> 0(2(5(3(3(0(5(0(0(5(x1)))))))))) 3(4(0(2(0(4(4(x1))))))) -> 0(5(0(3(0(0(1(4(4(0(x1)))))))))) 3(5(2(0(4(1(1(x1))))))) -> 5(4(5(5(5(5(5(1(4(4(x1)))))))))) 3(5(5(4(1(1(4(x1))))))) -> 3(4(2(2(5(0(0(3(1(4(x1)))))))))) 4(1(0(4(0(1(1(x1))))))) -> 2(4(2(2(3(5(3(2(3(1(x1)))))))))) 4(1(3(4(2(5(4(x1))))))) -> 4(1(3(0(4(0(0(2(5(4(x1)))))))))) 4(2(4(1(1(1(2(x1))))))) -> 0(3(0(2(5(1(4(2(2(2(x1)))))))))) 4(4(2(1(1(1(1(x1))))))) -> 4(3(5(0(0(5(0(1(3(4(x1)))))))))) 4(5(3(5(2(1(1(x1))))))) -> 4(5(3(5(5(1(1(0(5(3(x1)))))))))) 5(2(2(0(5(5(3(x1))))))) -> 2(0(0(2(3(5(1(1(5(3(x1)))))))))) 5(2(2(3(4(4(0(x1))))))) -> 2(5(5(0(4(0(4(0(1(0(x1)))))))))) 5(2(4(1(4(1(2(x1))))))) -> 2(3(0(3(1(1(4(2(2(2(x1)))))))))) 5(2(5(2(4(1(3(x1))))))) -> 0(0(1(2(1(2(2(4(1(3(x1)))))))))) 5(4(2(3(2(0(5(x1))))))) -> 3(0(4(0(1(0(3(3(1(5(x1)))))))))) 5(4(2(4(1(2(0(x1))))))) -> 2(5(5(5(1(5(3(5(1(0(x1)))))))))) 5(4(5(2(2(3(0(x1))))))) -> 2(1(2(5(0(3(3(0(4(4(x1)))))))))) 5(4(5(5(3(1(2(x1))))))) -> 5(0(3(0(2(2(4(5(0(2(x1)))))))))) 5(5(4(5(2(1(5(x1))))))) -> 0(0(2(1(3(2(0(2(2(5(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_1(x_1)) -> 1(encArg(x_1)) encArg(cons_2(x_1)) -> 2(encArg(x_1)) encArg(cons_4(x_1)) -> 4(encArg(x_1)) encArg(cons_5(x_1)) -> 5(encArg(x_1)) encArg(cons_3(x_1)) -> 3(encArg(x_1)) encode_0(x_1) -> 0(encArg(x_1)) encode_1(x_1) -> 1(encArg(x_1)) encode_2(x_1) -> 2(encArg(x_1)) encode_3(x_1) -> 3(encArg(x_1)) encode_4(x_1) -> 4(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(1(2(x1))) -> 0(3(0(0(2(4(2(2(5(1(x1)))))))))) 1(0(4(2(x1)))) -> 0(0(3(5(3(0(0(2(0(2(x1)))))))))) 2(4(1(3(x1)))) -> 4(3(5(5(1(3(1(2(4(5(x1)))))))))) 4(1(2(5(x1)))) -> 4(0(0(2(2(4(3(1(3(5(x1)))))))))) 4(1(3(0(x1)))) -> 4(3(0(5(0(0(5(0(0(4(x1)))))))))) 0(1(4(1(3(x1))))) -> 0(2(5(0(5(0(0(2(4(5(x1)))))))))) 4(1(2(1(1(x1))))) -> 4(5(5(5(1(5(2(3(1(0(x1)))))))))) 5(2(4(2(0(x1))))) -> 4(0(0(0(1(0(0(2(2(0(x1)))))))))) 5(4(1(2(2(x1))))) -> 3(1(3(3(5(5(1(3(0(2(x1)))))))))) 5(4(1(2(2(x1))))) -> 3(3(0(0(0(4(1(0(5(1(x1)))))))))) 5(4(2(0(5(x1))))) -> 5(5(5(1(0(0(2(1(4(5(x1)))))))))) 0(4(4(4(5(3(x1)))))) -> 0(1(0(3(0(0(2(5(0(0(x1)))))))))) 2(0(3(4(4(4(x1)))))) -> 3(5(3(0(0(3(1(2(0(4(x1)))))))))) 2(0(4(0(1(4(x1)))))) -> 3(5(5(1(4(3(1(5(4(0(x1)))))))))) 2(3(3(4(4(1(x1)))))) -> 2(0(0(3(1(2(2(5(5(2(x1)))))))))) 2(4(1(2(1(1(x1)))))) -> 2(0(0(4(0(5(3(0(1(0(x1)))))))))) 2(5(2(0(1(0(x1)))))) -> 2(1(0(0(3(0(4(0(0(0(x1)))))))))) 3(1(5(4(2(0(x1)))))) -> 0(3(3(0(0(3(1(1(3(0(x1)))))))))) 4(0(5(2(3(1(x1)))))) -> 0(2(1(5(0(0(0(2(5(3(x1)))))))))) 4(2(4(5(2(3(x1)))))) -> 2(4(4(0(0(2(3(1(4(3(x1)))))))))) 5(2(4(1(5(2(x1)))))) -> 3(0(2(4(2(0(0(3(5(1(x1)))))))))) 5(2(4(4(4(1(x1)))))) -> 2(0(4(0(3(1(3(5(0(2(x1)))))))))) 5(4(5(2(4(1(x1)))))) -> 3(0(0(0(2(5(2(4(1(2(x1)))))))))) 0(4(3(5(4(2(0(x1))))))) -> 0(0(3(0(0(1(5(0(0(0(x1)))))))))) 1(1(5(0(1(5(2(x1))))))) -> 5(5(1(0(5(5(5(5(5(2(x1)))))))))) 1(2(2(3(1(0(1(x1))))))) -> 1(4(0(0(2(2(2(5(0(4(x1)))))))))) 1(3(0(4(3(4(4(x1))))))) -> 1(3(0(0(2(5(5(5(1(1(x1)))))))))) 2(0(1(1(1(5(2(x1))))))) -> 2(5(0(0(1(0(4(3(5(1(x1)))))))))) 2(0(1(5(0(2(1(x1))))))) -> 2(3(0(0(3(4(0(0(4(0(x1)))))))))) 2(2(0(4(4(2(1(x1))))))) -> 3(1(0(3(3(0(1(4(0(0(x1)))))))))) 2(5(3(4(1(3(4(x1))))))) -> 0(0(0(4(3(1(0(0(3(4(x1)))))))))) 2(5(5(4(2(0(4(x1))))))) -> 2(1(2(2(4(5(5(2(3(0(x1)))))))))) 2(5(5(4(5(3(4(x1))))))) -> 2(4(5(0(0(3(5(1(1(1(x1)))))))))) 3(0(1(1(4(0(5(x1))))))) -> 4(0(2(3(5(3(0(0(2(3(x1)))))))))) 3(2(4(5(4(5(3(x1))))))) -> 0(2(5(3(3(0(5(0(0(5(x1)))))))))) 3(4(0(2(0(4(4(x1))))))) -> 0(5(0(3(0(0(1(4(4(0(x1)))))))))) 3(5(2(0(4(1(1(x1))))))) -> 5(4(5(5(5(5(5(1(4(4(x1)))))))))) 3(5(5(4(1(1(4(x1))))))) -> 3(4(2(2(5(0(0(3(1(4(x1)))))))))) 4(1(0(4(0(1(1(x1))))))) -> 2(4(2(2(3(5(3(2(3(1(x1)))))))))) 4(1(3(4(2(5(4(x1))))))) -> 4(1(3(0(4(0(0(2(5(4(x1)))))))))) 4(2(4(1(1(1(2(x1))))))) -> 0(3(0(2(5(1(4(2(2(2(x1)))))))))) 4(4(2(1(1(1(1(x1))))))) -> 4(3(5(0(0(5(0(1(3(4(x1)))))))))) 4(5(3(5(2(1(1(x1))))))) -> 4(5(3(5(5(1(1(0(5(3(x1)))))))))) 5(2(2(0(5(5(3(x1))))))) -> 2(0(0(2(3(5(1(1(5(3(x1)))))))))) 5(2(2(3(4(4(0(x1))))))) -> 2(5(5(0(4(0(4(0(1(0(x1)))))))))) 5(2(4(1(4(1(2(x1))))))) -> 2(3(0(3(1(1(4(2(2(2(x1)))))))))) 5(2(5(2(4(1(3(x1))))))) -> 0(0(1(2(1(2(2(4(1(3(x1)))))))))) 5(4(2(3(2(0(5(x1))))))) -> 3(0(4(0(1(0(3(3(1(5(x1)))))))))) 5(4(2(4(1(2(0(x1))))))) -> 2(5(5(5(1(5(3(5(1(0(x1)))))))))) 5(4(5(2(2(3(0(x1))))))) -> 2(1(2(5(0(3(3(0(4(4(x1)))))))))) 5(4(5(5(3(1(2(x1))))))) -> 5(0(3(0(2(2(4(5(0(2(x1)))))))))) 5(5(4(5(2(1(5(x1))))))) -> 0(0(2(1(3(2(0(2(2(5(x1)))))))))) The (relative) TRS S consists of the following rules: encArg(cons_0(x_1)) -> 0(encArg(x_1)) encArg(cons_1(x_1)) -> 1(encArg(x_1)) encArg(cons_2(x_1)) -> 2(encArg(x_1)) encArg(cons_4(x_1)) -> 4(encArg(x_1)) encArg(cons_5(x_1)) -> 5(encArg(x_1)) encArg(cons_3(x_1)) -> 3(encArg(x_1)) encode_0(x_1) -> 0(encArg(x_1)) encode_1(x_1) -> 1(encArg(x_1)) encode_2(x_1) -> 2(encArg(x_1)) encode_3(x_1) -> 3(encArg(x_1)) encode_4(x_1) -> 4(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(1(2(x1))) -> 0(3(0(0(2(4(2(2(5(1(x1)))))))))) 1(0(4(2(x1)))) -> 0(0(3(5(3(0(0(2(0(2(x1)))))))))) 2(4(1(3(x1)))) -> 4(3(5(5(1(3(1(2(4(5(x1)))))))))) 4(1(2(5(x1)))) -> 4(0(0(2(2(4(3(1(3(5(x1)))))))))) 4(1(3(0(x1)))) -> 4(3(0(5(0(0(5(0(0(4(x1)))))))))) 0(1(4(1(3(x1))))) -> 0(2(5(0(5(0(0(2(4(5(x1)))))))))) 4(1(2(1(1(x1))))) -> 4(5(5(5(1(5(2(3(1(0(x1)))))))))) 5(2(4(2(0(x1))))) -> 4(0(0(0(1(0(0(2(2(0(x1)))))))))) 5(4(1(2(2(x1))))) -> 3(1(3(3(5(5(1(3(0(2(x1)))))))))) 5(4(1(2(2(x1))))) -> 3(3(0(0(0(4(1(0(5(1(x1)))))))))) 5(4(2(0(5(x1))))) -> 5(5(5(1(0(0(2(1(4(5(x1)))))))))) 0(4(4(4(5(3(x1)))))) -> 0(1(0(3(0(0(2(5(0(0(x1)))))))))) 2(0(3(4(4(4(x1)))))) -> 3(5(3(0(0(3(1(2(0(4(x1)))))))))) 2(0(4(0(1(4(x1)))))) -> 3(5(5(1(4(3(1(5(4(0(x1)))))))))) 2(3(3(4(4(1(x1)))))) -> 2(0(0(3(1(2(2(5(5(2(x1)))))))))) 2(4(1(2(1(1(x1)))))) -> 2(0(0(4(0(5(3(0(1(0(x1)))))))))) 2(5(2(0(1(0(x1)))))) -> 2(1(0(0(3(0(4(0(0(0(x1)))))))))) 3(1(5(4(2(0(x1)))))) -> 0(3(3(0(0(3(1(1(3(0(x1)))))))))) 4(0(5(2(3(1(x1)))))) -> 0(2(1(5(0(0(0(2(5(3(x1)))))))))) 4(2(4(5(2(3(x1)))))) -> 2(4(4(0(0(2(3(1(4(3(x1)))))))))) 5(2(4(1(5(2(x1)))))) -> 3(0(2(4(2(0(0(3(5(1(x1)))))))))) 5(2(4(4(4(1(x1)))))) -> 2(0(4(0(3(1(3(5(0(2(x1)))))))))) 5(4(5(2(4(1(x1)))))) -> 3(0(0(0(2(5(2(4(1(2(x1)))))))))) 0(4(3(5(4(2(0(x1))))))) -> 0(0(3(0(0(1(5(0(0(0(x1)))))))))) 1(1(5(0(1(5(2(x1))))))) -> 5(5(1(0(5(5(5(5(5(2(x1)))))))))) 1(2(2(3(1(0(1(x1))))))) -> 1(4(0(0(2(2(2(5(0(4(x1)))))))))) 1(3(0(4(3(4(4(x1))))))) -> 1(3(0(0(2(5(5(5(1(1(x1)))))))))) 2(0(1(1(1(5(2(x1))))))) -> 2(5(0(0(1(0(4(3(5(1(x1)))))))))) 2(0(1(5(0(2(1(x1))))))) -> 2(3(0(0(3(4(0(0(4(0(x1)))))))))) 2(2(0(4(4(2(1(x1))))))) -> 3(1(0(3(3(0(1(4(0(0(x1)))))))))) 2(5(3(4(1(3(4(x1))))))) -> 0(0(0(4(3(1(0(0(3(4(x1)))))))))) 2(5(5(4(2(0(4(x1))))))) -> 2(1(2(2(4(5(5(2(3(0(x1)))))))))) 2(5(5(4(5(3(4(x1))))))) -> 2(4(5(0(0(3(5(1(1(1(x1)))))))))) 3(0(1(1(4(0(5(x1))))))) -> 4(0(2(3(5(3(0(0(2(3(x1)))))))))) 3(2(4(5(4(5(3(x1))))))) -> 0(2(5(3(3(0(5(0(0(5(x1)))))))))) 3(4(0(2(0(4(4(x1))))))) -> 0(5(0(3(0(0(1(4(4(0(x1)))))))))) 3(5(2(0(4(1(1(x1))))))) -> 5(4(5(5(5(5(5(1(4(4(x1)))))))))) 3(5(5(4(1(1(4(x1))))))) -> 3(4(2(2(5(0(0(3(1(4(x1)))))))))) 4(1(0(4(0(1(1(x1))))))) -> 2(4(2(2(3(5(3(2(3(1(x1)))))))))) 4(1(3(4(2(5(4(x1))))))) -> 4(1(3(0(4(0(0(2(5(4(x1)))))))))) 4(2(4(1(1(1(2(x1))))))) -> 0(3(0(2(5(1(4(2(2(2(x1)))))))))) 4(4(2(1(1(1(1(x1))))))) -> 4(3(5(0(0(5(0(1(3(4(x1)))))))))) 4(5(3(5(2(1(1(x1))))))) -> 4(5(3(5(5(1(1(0(5(3(x1)))))))))) 5(2(2(0(5(5(3(x1))))))) -> 2(0(0(2(3(5(1(1(5(3(x1)))))))))) 5(2(2(3(4(4(0(x1))))))) -> 2(5(5(0(4(0(4(0(1(0(x1)))))))))) 5(2(4(1(4(1(2(x1))))))) -> 2(3(0(3(1(1(4(2(2(2(x1)))))))))) 5(2(5(2(4(1(3(x1))))))) -> 0(0(1(2(1(2(2(4(1(3(x1)))))))))) 5(4(2(3(2(0(5(x1))))))) -> 3(0(4(0(1(0(3(3(1(5(x1)))))))))) 5(4(2(4(1(2(0(x1))))))) -> 2(5(5(5(1(5(3(5(1(0(x1)))))))))) 5(4(5(2(2(3(0(x1))))))) -> 2(1(2(5(0(3(3(0(4(4(x1)))))))))) 5(4(5(5(3(1(2(x1))))))) -> 5(0(3(0(2(2(4(5(0(2(x1)))))))))) 5(5(4(5(2(1(5(x1))))))) -> 0(0(2(1(3(2(0(2(2(5(x1)))))))))) The (relative) TRS S consists of the following rules: encArg(cons_0(x_1)) -> 0(encArg(x_1)) encArg(cons_1(x_1)) -> 1(encArg(x_1)) encArg(cons_2(x_1)) -> 2(encArg(x_1)) encArg(cons_4(x_1)) -> 4(encArg(x_1)) encArg(cons_5(x_1)) -> 5(encArg(x_1)) encArg(cons_3(x_1)) -> 3(encArg(x_1)) encode_0(x_1) -> 0(encArg(x_1)) encode_1(x_1) -> 1(encArg(x_1)) encode_2(x_1) -> 2(encArg(x_1)) encode_3(x_1) -> 3(encArg(x_1)) encode_4(x_1) -> 4(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(1(2(x1))) -> 0(3(0(0(2(4(2(2(5(1(x1)))))))))) 1(0(4(2(x1)))) -> 0(0(3(5(3(0(0(2(0(2(x1)))))))))) 2(4(1(3(x1)))) -> 4(3(5(5(1(3(1(2(4(5(x1)))))))))) 4(1(2(5(x1)))) -> 4(0(0(2(2(4(3(1(3(5(x1)))))))))) 4(1(3(0(x1)))) -> 4(3(0(5(0(0(5(0(0(4(x1)))))))))) 0(1(4(1(3(x1))))) -> 0(2(5(0(5(0(0(2(4(5(x1)))))))))) 4(1(2(1(1(x1))))) -> 4(5(5(5(1(5(2(3(1(0(x1)))))))))) 5(2(4(2(0(x1))))) -> 4(0(0(0(1(0(0(2(2(0(x1)))))))))) 5(4(1(2(2(x1))))) -> 3(1(3(3(5(5(1(3(0(2(x1)))))))))) 5(4(1(2(2(x1))))) -> 3(3(0(0(0(4(1(0(5(1(x1)))))))))) 5(4(2(0(5(x1))))) -> 5(5(5(1(0(0(2(1(4(5(x1)))))))))) 0(4(4(4(5(3(x1)))))) -> 0(1(0(3(0(0(2(5(0(0(x1)))))))))) 2(0(3(4(4(4(x1)))))) -> 3(5(3(0(0(3(1(2(0(4(x1)))))))))) 2(0(4(0(1(4(x1)))))) -> 3(5(5(1(4(3(1(5(4(0(x1)))))))))) 2(3(3(4(4(1(x1)))))) -> 2(0(0(3(1(2(2(5(5(2(x1)))))))))) 2(4(1(2(1(1(x1)))))) -> 2(0(0(4(0(5(3(0(1(0(x1)))))))))) 2(5(2(0(1(0(x1)))))) -> 2(1(0(0(3(0(4(0(0(0(x1)))))))))) 3(1(5(4(2(0(x1)))))) -> 0(3(3(0(0(3(1(1(3(0(x1)))))))))) 4(0(5(2(3(1(x1)))))) -> 0(2(1(5(0(0(0(2(5(3(x1)))))))))) 4(2(4(5(2(3(x1)))))) -> 2(4(4(0(0(2(3(1(4(3(x1)))))))))) 5(2(4(1(5(2(x1)))))) -> 3(0(2(4(2(0(0(3(5(1(x1)))))))))) 5(2(4(4(4(1(x1)))))) -> 2(0(4(0(3(1(3(5(0(2(x1)))))))))) 5(4(5(2(4(1(x1)))))) -> 3(0(0(0(2(5(2(4(1(2(x1)))))))))) 0(4(3(5(4(2(0(x1))))))) -> 0(0(3(0(0(1(5(0(0(0(x1)))))))))) 1(1(5(0(1(5(2(x1))))))) -> 5(5(1(0(5(5(5(5(5(2(x1)))))))))) 1(2(2(3(1(0(1(x1))))))) -> 1(4(0(0(2(2(2(5(0(4(x1)))))))))) 1(3(0(4(3(4(4(x1))))))) -> 1(3(0(0(2(5(5(5(1(1(x1)))))))))) 2(0(1(1(1(5(2(x1))))))) -> 2(5(0(0(1(0(4(3(5(1(x1)))))))))) 2(0(1(5(0(2(1(x1))))))) -> 2(3(0(0(3(4(0(0(4(0(x1)))))))))) 2(2(0(4(4(2(1(x1))))))) -> 3(1(0(3(3(0(1(4(0(0(x1)))))))))) 2(5(3(4(1(3(4(x1))))))) -> 0(0(0(4(3(1(0(0(3(4(x1)))))))))) 2(5(5(4(2(0(4(x1))))))) -> 2(1(2(2(4(5(5(2(3(0(x1)))))))))) 2(5(5(4(5(3(4(x1))))))) -> 2(4(5(0(0(3(5(1(1(1(x1)))))))))) 3(0(1(1(4(0(5(x1))))))) -> 4(0(2(3(5(3(0(0(2(3(x1)))))))))) 3(2(4(5(4(5(3(x1))))))) -> 0(2(5(3(3(0(5(0(0(5(x1)))))))))) 3(4(0(2(0(4(4(x1))))))) -> 0(5(0(3(0(0(1(4(4(0(x1)))))))))) 3(5(2(0(4(1(1(x1))))))) -> 5(4(5(5(5(5(5(1(4(4(x1)))))))))) 3(5(5(4(1(1(4(x1))))))) -> 3(4(2(2(5(0(0(3(1(4(x1)))))))))) 4(1(0(4(0(1(1(x1))))))) -> 2(4(2(2(3(5(3(2(3(1(x1)))))))))) 4(1(3(4(2(5(4(x1))))))) -> 4(1(3(0(4(0(0(2(5(4(x1)))))))))) 4(2(4(1(1(1(2(x1))))))) -> 0(3(0(2(5(1(4(2(2(2(x1)))))))))) 4(4(2(1(1(1(1(x1))))))) -> 4(3(5(0(0(5(0(1(3(4(x1)))))))))) 4(5(3(5(2(1(1(x1))))))) -> 4(5(3(5(5(1(1(0(5(3(x1)))))))))) 5(2(2(0(5(5(3(x1))))))) -> 2(0(0(2(3(5(1(1(5(3(x1)))))))))) 5(2(2(3(4(4(0(x1))))))) -> 2(5(5(0(4(0(4(0(1(0(x1)))))))))) 5(2(4(1(4(1(2(x1))))))) -> 2(3(0(3(1(1(4(2(2(2(x1)))))))))) 5(2(5(2(4(1(3(x1))))))) -> 0(0(1(2(1(2(2(4(1(3(x1)))))))))) 5(4(2(3(2(0(5(x1))))))) -> 3(0(4(0(1(0(3(3(1(5(x1)))))))))) 5(4(2(4(1(2(0(x1))))))) -> 2(5(5(5(1(5(3(5(1(0(x1)))))))))) 5(4(5(2(2(3(0(x1))))))) -> 2(1(2(5(0(3(3(0(4(4(x1)))))))))) 5(4(5(5(3(1(2(x1))))))) -> 5(0(3(0(2(2(4(5(0(2(x1)))))))))) 5(5(4(5(2(1(5(x1))))))) -> 0(0(2(1(3(2(0(2(2(5(x1)))))))))) encArg(cons_0(x_1)) -> 0(encArg(x_1)) encArg(cons_1(x_1)) -> 1(encArg(x_1)) encArg(cons_2(x_1)) -> 2(encArg(x_1)) encArg(cons_4(x_1)) -> 4(encArg(x_1)) encArg(cons_5(x_1)) -> 5(encArg(x_1)) encArg(cons_3(x_1)) -> 3(encArg(x_1)) encode_0(x_1) -> 0(encArg(x_1)) encode_1(x_1) -> 1(encArg(x_1)) encode_2(x_1) -> 2(encArg(x_1)) encode_3(x_1) -> 3(encArg(x_1)) encode_4(x_1) -> 4(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. "[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] {(138,139,[0_1|0, 1_1|0, 2_1|0, 4_1|0, 5_1|0, 3_1|0, encArg_1|0, encode_0_1|0, encode_1_1|0, encode_2_1|0, encode_3_1|0, encode_4_1|0, encode_5_1|0]), (138,140,[0_1|1, 1_1|1, 2_1|1, 4_1|1, 5_1|1, 3_1|1]), (138,141,[0_1|2]), (138,150,[0_1|2]), (138,159,[0_1|2]), (138,168,[0_1|2]), (138,177,[0_1|2]), (138,186,[5_1|2]), (138,195,[1_1|2]), (138,204,[1_1|2]), (138,213,[4_1|2]), (138,222,[2_1|2]), (138,231,[3_1|2]), (138,240,[3_1|2]), (138,249,[2_1|2]), (138,258,[2_1|2]), (138,267,[2_1|2]), (138,276,[2_1|2]), (138,285,[0_1|2]), (138,294,[2_1|2]), (138,303,[2_1|2]), (138,312,[3_1|2]), (138,321,[4_1|2]), (138,330,[4_1|2]), (138,339,[4_1|2]), (138,348,[4_1|2]), (138,357,[2_1|2]), (138,366,[0_1|2]), (138,375,[2_1|2]), (138,384,[0_1|2]), (138,393,[4_1|2]), (138,402,[4_1|2]), (138,411,[4_1|2]), (138,420,[3_1|2]), (138,429,[2_1|2]), (138,438,[2_1|2]), (138,447,[2_1|2]), (138,456,[2_1|2]), (138,465,[0_1|2]), (138,474,[3_1|2]), (138,483,[3_1|2]), (138,492,[5_1|2]), (138,501,[3_1|2]), (138,510,[2_1|2]), (138,519,[3_1|2]), (138,528,[2_1|2]), (138,537,[5_1|2]), (138,546,[0_1|2]), (138,555,[0_1|2]), (138,564,[4_1|2]), (138,573,[0_1|2]), (138,582,[0_1|2]), (138,591,[5_1|2]), (138,600,[3_1|2]), (138,609,[4_1|3]), (139,139,[cons_0_1|0, cons_1_1|0, cons_2_1|0, cons_4_1|0, cons_5_1|0, cons_3_1|0]), (140,139,[encArg_1|1]), (140,140,[0_1|1, 1_1|1, 2_1|1, 4_1|1, 5_1|1, 3_1|1]), (140,141,[0_1|2]), (140,150,[0_1|2]), (140,159,[0_1|2]), (140,168,[0_1|2]), (140,177,[0_1|2]), (140,186,[5_1|2]), (140,195,[1_1|2]), (140,204,[1_1|2]), (140,213,[4_1|2]), (140,222,[2_1|2]), (140,231,[3_1|2]), (140,240,[3_1|2]), (140,249,[2_1|2]), (140,258,[2_1|2]), (140,267,[2_1|2]), (140,276,[2_1|2]), (140,285,[0_1|2]), (140,294,[2_1|2]), (140,303,[2_1|2]), (140,312,[3_1|2]), (140,321,[4_1|2]), (140,330,[4_1|2]), (140,339,[4_1|2]), (140,348,[4_1|2]), (140,357,[2_1|2]), (140,366,[0_1|2]), (140,375,[2_1|2]), (140,384,[0_1|2]), (140,393,[4_1|2]), (140,402,[4_1|2]), (140,411,[4_1|2]), (140,420,[3_1|2]), (140,429,[2_1|2]), (140,438,[2_1|2]), (140,447,[2_1|2]), (140,456,[2_1|2]), (140,465,[0_1|2]), (140,474,[3_1|2]), (140,483,[3_1|2]), (140,492,[5_1|2]), (140,501,[3_1|2]), (140,510,[2_1|2]), (140,519,[3_1|2]), (140,528,[2_1|2]), (140,537,[5_1|2]), (140,546,[0_1|2]), (140,555,[0_1|2]), (140,564,[4_1|2]), (140,573,[0_1|2]), (140,582,[0_1|2]), (140,591,[5_1|2]), (140,600,[3_1|2]), (140,609,[4_1|3]), (141,142,[3_1|2]), (142,143,[0_1|2]), (143,144,[0_1|2]), (144,145,[2_1|2]), (145,146,[4_1|2]), (146,147,[2_1|2]), (147,148,[2_1|2]), (148,149,[5_1|2]), (149,140,[1_1|2]), (149,222,[1_1|2]), (149,249,[1_1|2]), (149,258,[1_1|2]), (149,267,[1_1|2]), (149,276,[1_1|2]), (149,294,[1_1|2]), (149,303,[1_1|2]), (149,357,[1_1|2]), (149,375,[1_1|2]), (149,429,[1_1|2]), (149,438,[1_1|2]), (149,447,[1_1|2]), (149,456,[1_1|2]), (149,510,[1_1|2]), (149,528,[1_1|2]), (149,177,[0_1|2]), (149,186,[5_1|2]), (149,195,[1_1|2]), (149,204,[1_1|2]), (150,151,[2_1|2]), (151,152,[5_1|2]), (152,153,[0_1|2]), (153,154,[5_1|2]), (154,155,[0_1|2]), (155,156,[0_1|2]), (156,157,[2_1|2]), (157,158,[4_1|2]), (157,402,[4_1|2]), (158,140,[5_1|2]), (158,231,[5_1|2]), (158,240,[5_1|2]), (158,312,[5_1|2]), (158,420,[5_1|2, 3_1|2]), (158,474,[5_1|2, 3_1|2]), (158,483,[5_1|2, 3_1|2]), (158,501,[5_1|2, 3_1|2]), (158,519,[5_1|2, 3_1|2]), (158,600,[5_1|2]), (158,205,[5_1|2]), (158,350,[5_1|2]), (158,411,[4_1|2]), (158,429,[2_1|2]), (158,438,[2_1|2]), (158,447,[2_1|2]), (158,456,[2_1|2]), (158,465,[0_1|2]), (158,492,[5_1|2]), (158,510,[2_1|2]), (158,528,[2_1|2]), (158,537,[5_1|2]), (158,546,[0_1|2]), (159,160,[1_1|2]), (160,161,[0_1|2]), (161,162,[3_1|2]), (162,163,[0_1|2]), (163,164,[0_1|2]), (164,165,[2_1|2]), (165,166,[5_1|2]), (166,167,[0_1|2]), (167,140,[0_1|2]), (167,231,[0_1|2]), (167,240,[0_1|2]), (167,312,[0_1|2]), (167,420,[0_1|2]), (167,474,[0_1|2]), (167,483,[0_1|2]), (167,501,[0_1|2]), (167,519,[0_1|2]), (167,600,[0_1|2]), (167,404,[0_1|2]), (167,141,[0_1|2]), (167,150,[0_1|2]), (167,159,[0_1|2]), (167,168,[0_1|2]), (168,169,[0_1|2]), (169,170,[3_1|2]), (170,171,[0_1|2]), (171,172,[0_1|2]), (172,173,[1_1|2]), (173,174,[5_1|2]), (174,175,[0_1|2]), (175,176,[0_1|2]), (176,140,[0_1|2]), (176,141,[0_1|2]), (176,150,[0_1|2]), (176,159,[0_1|2]), (176,168,[0_1|2]), (176,177,[0_1|2]), (176,285,[0_1|2]), (176,366,[0_1|2]), (176,384,[0_1|2]), (176,465,[0_1|2]), (176,546,[0_1|2]), (176,555,[0_1|2]), (176,573,[0_1|2]), (176,582,[0_1|2]), (176,223,[0_1|2]), (176,268,[0_1|2]), (176,439,[0_1|2]), (176,448,[0_1|2]), (177,178,[0_1|2]), (178,179,[3_1|2]), (179,180,[5_1|2]), (180,181,[3_1|2]), (181,182,[0_1|2]), (182,183,[0_1|2]), (183,184,[2_1|2]), (184,185,[0_1|2]), (185,140,[2_1|2]), (185,222,[2_1|2]), (185,249,[2_1|2]), (185,258,[2_1|2]), (185,267,[2_1|2]), (185,276,[2_1|2]), (185,294,[2_1|2]), (185,303,[2_1|2]), (185,357,[2_1|2]), (185,375,[2_1|2]), (185,429,[2_1|2]), (185,438,[2_1|2]), (185,447,[2_1|2]), (185,456,[2_1|2]), (185,510,[2_1|2]), (185,528,[2_1|2]), (185,213,[4_1|2]), (185,231,[3_1|2]), (185,240,[3_1|2]), (185,285,[0_1|2]), (185,312,[3_1|2]), (185,618,[4_1|3]), (186,187,[5_1|2]), (187,188,[1_1|2]), (188,189,[0_1|2]), (189,190,[5_1|2]), (190,191,[5_1|2]), (191,192,[5_1|2]), (192,193,[5_1|2]), (193,194,[5_1|2]), (193,411,[4_1|2]), (193,420,[3_1|2]), (193,429,[2_1|2]), (193,438,[2_1|2]), (193,447,[2_1|2]), (193,456,[2_1|2]), (193,465,[0_1|2]), (194,140,[2_1|2]), (194,222,[2_1|2]), (194,249,[2_1|2]), (194,258,[2_1|2]), (194,267,[2_1|2]), (194,276,[2_1|2]), (194,294,[2_1|2]), (194,303,[2_1|2]), (194,357,[2_1|2]), (194,375,[2_1|2]), (194,429,[2_1|2]), (194,438,[2_1|2]), (194,447,[2_1|2]), (194,456,[2_1|2]), (194,510,[2_1|2]), (194,528,[2_1|2]), (194,213,[4_1|2]), (194,231,[3_1|2]), (194,240,[3_1|2]), (194,285,[0_1|2]), (194,312,[3_1|2]), (194,618,[4_1|3]), (195,196,[4_1|2]), (196,197,[0_1|2]), (197,198,[0_1|2]), (198,199,[2_1|2]), (199,200,[2_1|2]), (200,201,[2_1|2]), (201,202,[5_1|2]), (202,203,[0_1|2]), (202,159,[0_1|2]), (202,168,[0_1|2]), (203,140,[4_1|2]), (203,195,[4_1|2]), (203,204,[4_1|2]), (203,160,[4_1|2]), (203,321,[4_1|2]), (203,330,[4_1|2]), (203,339,[4_1|2]), (203,348,[4_1|2]), (203,357,[2_1|2]), (203,366,[0_1|2]), (203,375,[2_1|2]), (203,384,[0_1|2]), (203,393,[4_1|2]), (203,402,[4_1|2]), (203,627,[4_1|3]), (204,205,[3_1|2]), (205,206,[0_1|2]), (206,207,[0_1|2]), (207,208,[2_1|2]), (208,209,[5_1|2]), (209,210,[5_1|2]), (210,211,[5_1|2]), (211,212,[1_1|2]), (211,186,[5_1|2]), (212,140,[1_1|2]), (212,213,[1_1|2]), (212,321,[1_1|2]), (212,330,[1_1|2]), (212,339,[1_1|2]), (212,348,[1_1|2]), (212,393,[1_1|2]), (212,402,[1_1|2]), (212,411,[1_1|2]), (212,564,[1_1|2]), (212,177,[0_1|2]), (212,186,[5_1|2]), (212,195,[1_1|2]), (212,204,[1_1|2]), (212,609,[1_1|2]), (213,214,[3_1|2]), (214,215,[5_1|2]), (215,216,[5_1|2]), (216,217,[1_1|2]), (217,218,[3_1|2]), (218,219,[1_1|2]), (219,220,[2_1|2]), (220,221,[4_1|2]), (220,402,[4_1|2]), (221,140,[5_1|2]), (221,231,[5_1|2]), (221,240,[5_1|2]), (221,312,[5_1|2]), (221,420,[5_1|2, 3_1|2]), (221,474,[5_1|2, 3_1|2]), (221,483,[5_1|2, 3_1|2]), (221,501,[5_1|2, 3_1|2]), (221,519,[5_1|2, 3_1|2]), (221,600,[5_1|2]), (221,205,[5_1|2]), (221,350,[5_1|2]), (221,411,[4_1|2]), (221,429,[2_1|2]), (221,438,[2_1|2]), (221,447,[2_1|2]), (221,456,[2_1|2]), (221,465,[0_1|2]), (221,492,[5_1|2]), (221,510,[2_1|2]), (221,528,[2_1|2]), (221,537,[5_1|2]), (221,546,[0_1|2]), (222,223,[0_1|2]), (223,224,[0_1|2]), (224,225,[4_1|2]), (225,226,[0_1|2]), (226,227,[5_1|2]), (227,228,[3_1|2]), (228,229,[0_1|2]), (229,230,[1_1|2]), (229,177,[0_1|2]), (230,140,[0_1|2]), (230,195,[0_1|2]), (230,204,[0_1|2]), (230,141,[0_1|2]), (230,150,[0_1|2]), (230,159,[0_1|2]), (230,168,[0_1|2]), (231,232,[5_1|2]), (232,233,[3_1|2]), (233,234,[0_1|2]), (234,235,[0_1|2]), (235,236,[3_1|2]), (236,237,[1_1|2]), (237,238,[2_1|2]), (237,240,[3_1|2]), (238,239,[0_1|2]), (238,159,[0_1|2]), (238,168,[0_1|2]), (239,140,[4_1|2]), (239,213,[4_1|2]), (239,321,[4_1|2]), (239,330,[4_1|2]), (239,339,[4_1|2]), (239,348,[4_1|2]), (239,393,[4_1|2]), (239,402,[4_1|2]), (239,411,[4_1|2]), (239,564,[4_1|2]), (239,357,[2_1|2]), (239,366,[0_1|2]), (239,375,[2_1|2]), (239,384,[0_1|2]), (239,627,[4_1|3]), (239,609,[4_1|2]), (240,241,[5_1|2]), (241,242,[5_1|2]), (242,243,[1_1|2]), (243,244,[4_1|2]), (244,245,[3_1|2]), (245,246,[1_1|2]), (246,247,[5_1|2]), (247,248,[4_1|2]), (247,366,[0_1|2]), (248,140,[0_1|2]), (248,213,[0_1|2]), (248,321,[0_1|2]), (248,330,[0_1|2]), (248,339,[0_1|2]), (248,348,[0_1|2]), (248,393,[0_1|2]), (248,402,[0_1|2]), (248,411,[0_1|2]), (248,564,[0_1|2]), (248,196,[0_1|2]), (248,141,[0_1|2]), (248,150,[0_1|2]), (248,159,[0_1|2]), (248,168,[0_1|2]), (248,609,[0_1|2]), (249,250,[5_1|2]), (250,251,[0_1|2]), (251,252,[0_1|2]), (252,253,[1_1|2]), (253,254,[0_1|2]), (254,255,[4_1|2]), (255,256,[3_1|2]), (256,257,[5_1|2]), (257,140,[1_1|2]), (257,222,[1_1|2]), (257,249,[1_1|2]), (257,258,[1_1|2]), (257,267,[1_1|2]), (257,276,[1_1|2]), (257,294,[1_1|2]), (257,303,[1_1|2]), (257,357,[1_1|2]), (257,375,[1_1|2]), (257,429,[1_1|2]), (257,438,[1_1|2]), (257,447,[1_1|2]), (257,456,[1_1|2]), (257,510,[1_1|2]), (257,528,[1_1|2]), (257,177,[0_1|2]), (257,186,[5_1|2]), (257,195,[1_1|2]), (257,204,[1_1|2]), (258,259,[3_1|2]), (259,260,[0_1|2]), 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(511,512,[5_1|2]), (512,513,[5_1|2]), (513,514,[1_1|2]), (514,515,[5_1|2]), (515,516,[3_1|2]), (516,517,[5_1|2]), (517,518,[1_1|2]), (517,177,[0_1|2]), (518,140,[0_1|2]), (518,141,[0_1|2]), (518,150,[0_1|2]), (518,159,[0_1|2]), (518,168,[0_1|2]), (518,177,[0_1|2]), (518,285,[0_1|2]), (518,366,[0_1|2]), (518,384,[0_1|2]), (518,465,[0_1|2]), (518,546,[0_1|2]), (518,555,[0_1|2]), (518,573,[0_1|2]), (518,582,[0_1|2]), (518,223,[0_1|2]), (518,268,[0_1|2]), (518,439,[0_1|2]), (518,448,[0_1|2]), (519,520,[0_1|2]), (520,521,[0_1|2]), (521,522,[0_1|2]), (522,523,[2_1|2]), (523,524,[5_1|2]), (524,525,[2_1|2]), (524,222,[2_1|2]), (524,645,[4_1|3]), (525,526,[4_1|2]), (525,321,[4_1|2]), (525,330,[4_1|2]), (525,663,[4_1|3]), (526,527,[1_1|2]), (526,195,[1_1|2]), (527,140,[2_1|2]), (527,195,[2_1|2]), (527,204,[2_1|2]), (527,349,[2_1|2]), (527,213,[4_1|2]), (527,222,[2_1|2]), (527,231,[3_1|2]), (527,240,[3_1|2]), (527,249,[2_1|2]), (527,258,[2_1|2]), (527,267,[2_1|2]), (527,276,[2_1|2]), (527,285,[0_1|2]), (527,294,[2_1|2]), (527,303,[2_1|2]), (527,312,[3_1|2]), (527,618,[4_1|3]), (528,529,[1_1|2]), (529,530,[2_1|2]), (530,531,[5_1|2]), (531,532,[0_1|2]), (532,533,[3_1|2]), (533,534,[3_1|2]), (534,535,[0_1|2]), (534,159,[0_1|2]), (534,672,[0_1|3]), (535,536,[4_1|2]), (535,393,[4_1|2]), (536,140,[4_1|2]), (536,141,[4_1|2]), (536,150,[4_1|2]), (536,159,[4_1|2]), (536,168,[4_1|2]), (536,177,[4_1|2]), (536,285,[4_1|2]), (536,366,[4_1|2, 0_1|2]), (536,384,[4_1|2, 0_1|2]), (536,465,[4_1|2]), (536,546,[4_1|2]), (536,555,[4_1|2]), (536,573,[4_1|2]), (536,582,[4_1|2]), (536,421,[4_1|2]), (536,502,[4_1|2]), (536,520,[4_1|2]), (536,260,[4_1|2]), (536,431,[4_1|2]), (536,321,[4_1|2]), (536,330,[4_1|2]), (536,339,[4_1|2]), (536,348,[4_1|2]), (536,357,[2_1|2]), (536,375,[2_1|2]), (536,393,[4_1|2]), (536,402,[4_1|2]), (536,627,[4_1|3]), (537,538,[0_1|2]), (538,539,[3_1|2]), (539,540,[0_1|2]), (540,541,[2_1|2]), (541,542,[2_1|2]), (542,543,[4_1|2]), (543,544,[5_1|2]), (544,545,[0_1|2]), (545,140,[2_1|2]), (545,222,[2_1|2]), (545,249,[2_1|2]), (545,258,[2_1|2]), (545,267,[2_1|2]), (545,276,[2_1|2]), (545,294,[2_1|2]), (545,303,[2_1|2]), (545,357,[2_1|2]), (545,375,[2_1|2]), (545,429,[2_1|2]), (545,438,[2_1|2]), (545,447,[2_1|2]), (545,456,[2_1|2]), (545,510,[2_1|2]), (545,528,[2_1|2]), (545,213,[4_1|2]), (545,231,[3_1|2]), (545,240,[3_1|2]), (545,285,[0_1|2]), (545,312,[3_1|2]), (545,618,[4_1|3]), (546,547,[0_1|2]), (547,548,[2_1|2]), (548,549,[1_1|2]), (549,550,[3_1|2]), (550,551,[2_1|2]), (551,552,[0_1|2]), (552,553,[2_1|2]), (553,554,[2_1|2]), (553,276,[2_1|2]), (553,285,[0_1|2]), (553,294,[2_1|2]), (553,303,[2_1|2]), (554,140,[5_1|2]), (554,186,[5_1|2]), (554,492,[5_1|2]), (554,537,[5_1|2]), (554,591,[5_1|2]), (554,411,[4_1|2]), (554,420,[3_1|2]), (554,429,[2_1|2]), (554,438,[2_1|2]), (554,447,[2_1|2]), (554,456,[2_1|2]), (554,465,[0_1|2]), (554,474,[3_1|2]), (554,483,[3_1|2]), (554,501,[3_1|2]), (554,510,[2_1|2]), (554,519,[3_1|2]), (554,528,[2_1|2]), (554,546,[0_1|2]), (555,556,[3_1|2]), (556,557,[3_1|2]), (557,558,[0_1|2]), (558,559,[0_1|2]), (559,560,[3_1|2]), (560,561,[1_1|2]), (561,562,[1_1|2]), (561,204,[1_1|2]), (562,563,[3_1|2]), (562,564,[4_1|2]), (563,140,[0_1|2]), (563,141,[0_1|2]), (563,150,[0_1|2]), (563,159,[0_1|2]), (563,168,[0_1|2]), (563,177,[0_1|2]), (563,285,[0_1|2]), (563,366,[0_1|2]), (563,384,[0_1|2]), (563,465,[0_1|2]), (563,546,[0_1|2]), (563,555,[0_1|2]), (563,573,[0_1|2]), (563,582,[0_1|2]), (563,223,[0_1|2]), (563,268,[0_1|2]), (563,439,[0_1|2]), (563,448,[0_1|2]), (564,565,[0_1|2]), (565,566,[2_1|2]), (566,567,[3_1|2]), (567,568,[5_1|2]), (568,569,[3_1|2]), (569,570,[0_1|2]), (570,571,[0_1|2]), (571,572,[2_1|2]), (571,267,[2_1|2]), (572,140,[3_1|2]), (572,186,[3_1|2]), (572,492,[3_1|2]), (572,537,[3_1|2]), (572,591,[3_1|2, 5_1|2]), (572,583,[3_1|2]), (572,555,[0_1|2]), (572,564,[4_1|2]), (572,573,[0_1|2]), (572,582,[0_1|2]), (572,600,[3_1|2]), (573,574,[2_1|2]), (574,575,[5_1|2]), (575,576,[3_1|2]), (576,577,[3_1|2]), (577,578,[0_1|2]), (578,579,[5_1|2]), (579,580,[0_1|2]), (580,581,[0_1|2]), (581,140,[5_1|2]), (581,231,[5_1|2]), (581,240,[5_1|2]), (581,312,[5_1|2]), (581,420,[5_1|2, 3_1|2]), (581,474,[5_1|2, 3_1|2]), (581,483,[5_1|2, 3_1|2]), (581,501,[5_1|2, 3_1|2]), (581,519,[5_1|2, 3_1|2]), (581,600,[5_1|2]), (581,404,[5_1|2]), (581,411,[4_1|2]), (581,429,[2_1|2]), (581,438,[2_1|2]), (581,447,[2_1|2]), (581,456,[2_1|2]), (581,465,[0_1|2]), (581,492,[5_1|2]), (581,510,[2_1|2]), (581,528,[2_1|2]), (581,537,[5_1|2]), (581,546,[0_1|2]), (582,583,[5_1|2]), (583,584,[0_1|2]), (584,585,[3_1|2]), (585,586,[0_1|2]), (586,587,[0_1|2]), (587,588,[1_1|2]), (588,589,[4_1|2]), (589,590,[4_1|2]), (589,366,[0_1|2]), (590,140,[0_1|2]), (590,213,[0_1|2]), (590,321,[0_1|2]), (590,330,[0_1|2]), (590,339,[0_1|2]), (590,348,[0_1|2]), (590,393,[0_1|2]), (590,402,[0_1|2]), (590,411,[0_1|2]), (590,564,[0_1|2]), (590,141,[0_1|2]), (590,150,[0_1|2]), (590,159,[0_1|2]), (590,168,[0_1|2]), (590,609,[0_1|2]), (591,592,[4_1|2]), (592,593,[5_1|2]), (593,594,[5_1|2]), (594,595,[5_1|2]), (595,596,[5_1|2]), (596,597,[5_1|2]), (597,598,[1_1|2]), (598,599,[4_1|2]), (598,393,[4_1|2]), (599,140,[4_1|2]), (599,195,[4_1|2]), (599,204,[4_1|2]), (599,321,[4_1|2]), (599,330,[4_1|2]), (599,339,[4_1|2]), (599,348,[4_1|2]), (599,357,[2_1|2]), (599,366,[0_1|2]), (599,375,[2_1|2]), (599,384,[0_1|2]), (599,393,[4_1|2]), (599,402,[4_1|2]), (599,627,[4_1|3]), (600,601,[4_1|2]), (601,602,[2_1|2]), (602,603,[2_1|2]), (603,604,[5_1|2]), (604,605,[0_1|2]), (605,606,[0_1|2]), (606,607,[3_1|2]), (607,608,[1_1|2]), (608,140,[4_1|2]), (608,213,[4_1|2]), (608,321,[4_1|2]), (608,330,[4_1|2]), (608,339,[4_1|2]), (608,348,[4_1|2]), (608,393,[4_1|2]), (608,402,[4_1|2]), (608,411,[4_1|2]), (608,564,[4_1|2]), (608,196,[4_1|2]), (608,357,[2_1|2]), (608,366,[0_1|2]), (608,375,[2_1|2]), (608,384,[0_1|2]), (608,627,[4_1|3]), (608,609,[4_1|2]), (609,610,[3_1|3]), (610,611,[0_1|3]), (611,612,[5_1|3]), (612,613,[0_1|3]), (613,614,[0_1|3]), (614,615,[5_1|3]), (615,616,[0_1|3]), (616,617,[0_1|3]), (617,351,[4_1|3]), (618,619,[3_1|3]), (619,620,[5_1|3]), (620,621,[5_1|3]), (621,622,[1_1|3]), (622,623,[3_1|3]), (623,624,[1_1|3]), (624,625,[2_1|3]), (625,626,[4_1|3]), (626,350,[5_1|3]), (627,628,[3_1|3]), (628,629,[0_1|3]), (629,630,[5_1|3]), (630,631,[0_1|3]), (631,632,[0_1|3]), (632,633,[5_1|3]), (633,634,[0_1|3]), (634,635,[0_1|3]), (635,206,[4_1|3]), (635,351,[4_1|3]), (636,637,[3_1|3]), (637,638,[0_1|3]), (638,639,[0_1|3]), (639,640,[2_1|3]), (640,641,[4_1|3]), (641,642,[2_1|3]), (642,643,[2_1|3]), (643,644,[5_1|3]), (644,468,[1_1|3]), (645,646,[3_1|3]), (646,647,[5_1|3]), (647,648,[5_1|3]), (648,649,[1_1|3]), (649,650,[3_1|3]), (650,651,[1_1|3]), (651,652,[2_1|3]), (652,653,[4_1|3]), (652,402,[4_1|2]), (653,140,[5_1|3]), (653,231,[5_1|3]), (653,240,[5_1|3]), (653,312,[5_1|3]), (653,420,[5_1|3, 3_1|2]), (653,474,[5_1|3, 3_1|2]), (653,483,[5_1|3, 3_1|2]), (653,501,[5_1|3, 3_1|2]), (653,519,[5_1|3, 3_1|2]), (653,600,[5_1|3]), (653,205,[5_1|3]), (653,350,[5_1|3]), (653,411,[4_1|2]), (653,429,[2_1|2]), (653,438,[2_1|2]), (653,447,[2_1|2]), (653,456,[2_1|2]), (653,465,[0_1|2]), (653,492,[5_1|2]), (653,510,[2_1|2]), (653,528,[2_1|2]), (653,537,[5_1|2]), (653,546,[0_1|2]), (654,655,[3_1|3]), (655,656,[0_1|3]), (656,657,[5_1|3]), (657,658,[0_1|3]), (658,659,[0_1|3]), (659,660,[5_1|3]), (660,661,[0_1|3]), (661,662,[0_1|3]), (662,141,[4_1|3]), (662,150,[4_1|3]), (662,159,[4_1|3]), (662,168,[4_1|3]), (662,177,[4_1|3]), (662,285,[4_1|3]), (662,366,[4_1|3]), (662,384,[4_1|3]), (662,465,[4_1|3]), (662,546,[4_1|3]), (662,555,[4_1|3]), (662,573,[4_1|3]), (662,582,[4_1|3]), (662,421,[4_1|3]), (662,502,[4_1|3]), (662,520,[4_1|3]), (662,206,[4_1|3]), (662,351,[4_1|3]), (663,664,[0_1|3]), (664,665,[0_1|3]), (665,666,[2_1|3]), (666,667,[2_1|3]), (667,668,[4_1|3]), (668,669,[3_1|3]), (669,670,[1_1|3]), (670,671,[3_1|3]), (671,186,[5_1|3]), (671,492,[5_1|3]), (671,537,[5_1|3]), (671,591,[5_1|3]), (671,250,[5_1|3]), (672,673,[1_1|3]), (673,674,[0_1|3]), (674,675,[3_1|3]), (675,676,[0_1|3]), (676,677,[0_1|3]), (677,678,[2_1|3]), (678,679,[5_1|3]), (679,680,[0_1|3]), (680,404,[0_1|3])}" ---------------------------------------- (8) BOUNDS(1, n^1)