/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# AProVE Commit ID: 794c25de1cacf0d048858bcd21c9a779e1221865 marcel 20200619 unpublished dirty The Derivational Complexity (full) of the given DCpxTrs could be proven to be BOUNDS(1, n^1).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), 86 ms] (4) CpxRelTRS (5) RelTrsToTrsProof [UPPER BOUND(ID), 0 ms] (6) CpxTRS (7) CpxTrsMatchBoundsProof [FINISHED, 153 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(1(2(x1)))) -> 0(1(3(4(2(2(4(2(2(2(x1)))))))))) 4(0(1(4(x1)))) -> 4(2(3(1(1(3(3(3(2(4(x1)))))))))) 3(5(0(4(5(x1))))) -> 0(3(3(3(1(3(1(1(3(4(x1)))))))))) 0(2(0(4(0(3(x1)))))) -> 0(2(2(3(4(2(2(3(1(1(x1)))))))))) 0(4(0(1(1(2(x1)))))) -> 0(0(4(2(4(2(4(2(3(2(x1)))))))))) 0(4(3(2(3(5(x1)))))) -> 5(5(0(5(2(1(2(2(4(5(x1)))))))))) 0(4(4(4(0(4(x1)))))) -> 0(5(4(5(3(4(1(4(2(4(x1)))))))))) 1(1(5(0(1(2(x1)))))) -> 2(2(2(2(5(0(5(4(5(2(x1)))))))))) 1(2(3(2(0(3(x1)))))) -> 2(4(3(1(3(3(3(1(3(1(x1)))))))))) 2(0(3(0(2(3(x1)))))) -> 2(4(1(0(0(0(5(0(2(3(x1)))))))))) 2(1(4(4(3(2(x1)))))) -> 2(2(3(3(4(1(4(2(3(2(x1)))))))))) 3(3(0(3(5(4(x1)))))) -> 3(3(4(2(2(2(4(1(5(4(x1)))))))))) 3(3(5(4(3(1(x1)))))) -> 3(2(4(2(1(5(1(3(1(3(x1)))))))))) 3(5(1(5(1(2(x1)))))) -> 3(4(2(2(1(1(4(3(2(2(x1)))))))))) 3(5(3(1(1(0(x1)))))) -> 4(1(4(2(1(2(3(1(3(0(x1)))))))))) 4(1(0(4(4(2(x1)))))) -> 4(2(3(2(3(3(1(4(2(2(x1)))))))))) 4(3(2(0(3(3(x1)))))) -> 1(5(3(4(1(3(1(1(3(1(x1)))))))))) 4(5(3(2(0(2(x1)))))) -> 4(2(1(2(1(2(5(1(3(1(x1)))))))))) 0(1(1(2(0(3(2(x1))))))) -> 0(2(2(0(5(2(4(1(3(2(x1)))))))))) 0(3(0(2(5(1(3(x1))))))) -> 5(5(0(5(4(1(1(3(2(3(x1)))))))))) 0(3(0(3(0(5(4(x1))))))) -> 0(2(0(0(5(3(3(3(3(4(x1)))))))))) 0(3(5(1(1(3(0(x1))))))) -> 5(5(0(5(5(1(4(1(1(0(x1)))))))))) 0(4(0(1(2(5(3(x1))))))) -> 0(5(2(1(3(3(3(3(4(1(x1)))))))))) 0(5(0(4(3(4(5(x1))))))) -> 0(5(2(0(5(4(2(2(3(5(x1)))))))))) 1(2(0(3(2(5(4(x1))))))) -> 1(1(5(5(0(0(2(1(2(4(x1)))))))))) 1(3(0(0(1(1(5(x1))))))) -> 1(1(4(2(2(5(5(2(5(5(x1)))))))))) 1(3(4(0(4(0(2(x1))))))) -> 3(4(4(1(4(2(5(2(2(2(x1)))))))))) 1(5(1(5(2(3(2(x1))))))) -> 5(2(0(2(3(3(1(1(1(2(x1)))))))))) 1(5(2(3(0(5(0(x1))))))) -> 1(5(2(4(2(4(2(1(3(0(x1)))))))))) 1(5(3(2(5(3(5(x1))))))) -> 2(4(4(3(5(2(2(0(0(5(x1)))))))))) 1(5(4(4(5(3(2(x1))))))) -> 1(2(0(5(2(2(2(0(5(2(x1)))))))))) 2(0(3(0(5(4(4(x1))))))) -> 2(5(2(2(1(1(0(3(3(1(x1)))))))))) 2(0(3(4(4(4(4(x1))))))) -> 5(2(2(2(3(1(3(4(3(4(x1)))))))))) 2(3(0(2(0(3(4(x1))))))) -> 2(3(5(0(0(0(1(4(2(1(x1)))))))))) 2(3(5(1(0(0(5(x1))))))) -> 1(2(0(0(0(5(0(5(2(2(x1)))))))))) 3(0(2(3(0(5(4(x1))))))) -> 2(2(3(0(0(0(5(2(2(4(x1)))))))))) 3(0(3(2(0(1(2(x1))))))) -> 1(3(5(2(4(3(4(2(1(2(x1)))))))))) 3(0(4(4(4(0(2(x1))))))) -> 3(1(3(3(1(1(2(2(2(2(x1)))))))))) 3(2(0(1(3(3(0(x1))))))) -> 2(2(5(0(2(4(2(1(2(0(x1)))))))))) 3(4(3(0(4(4(0(x1))))))) -> 3(4(2(2(1(2(0(3(4(0(x1)))))))))) 3(4(4(4(4(3(5(x1))))))) -> 3(3(4(5(1(4(2(1(1(5(x1)))))))))) 3(5(0(0(3(2(4(x1))))))) -> 2(1(0(0(0(5(5(5(3(4(x1)))))))))) 3(5(4(0(3(3(4(x1))))))) -> 1(3(1(3(3(2(2(4(2(1(x1)))))))))) 4(2(0(1(1(3(0(x1))))))) -> 4(2(5(2(2(3(1(4(2(0(x1)))))))))) 4(4(4(5(3(4(0(x1))))))) -> 1(5(2(4(2(4(2(4(0(0(x1)))))))))) 4(4(5(5(3(2(4(x1))))))) -> 5(2(1(4(5(4(2(1(2(1(x1)))))))))) 4(5(0(3(0(3(0(x1))))))) -> 4(1(4(1(0(0(0(2(5(1(x1)))))))))) 4(5(0(4(3(0(0(x1))))))) -> 4(2(2(1(1(3(3(0(1(0(x1)))))))))) 5(3(1(1(3(5(3(x1))))))) -> 0(0(5(5(4(2(4(2(4(1(x1)))))))))) 5(3(2(2(0(1(3(x1))))))) -> 0(0(5(5(5(5(3(3(3(1(x1)))))))))) 5(4(1(0(4(2(0(x1))))))) -> 5(1(0(0(0(1(4(2(4(1(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_4(x_1)) -> 4(encArg(x_1)) encArg(cons_3(x_1)) -> 3(encArg(x_1)) encArg(cons_1(x_1)) -> 1(encArg(x_1)) encArg(cons_2(x_1)) -> 2(encArg(x_1)) encArg(cons_5(x_1)) -> 5(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(1(2(x1)))) -> 0(1(3(4(2(2(4(2(2(2(x1)))))))))) 4(0(1(4(x1)))) -> 4(2(3(1(1(3(3(3(2(4(x1)))))))))) 3(5(0(4(5(x1))))) -> 0(3(3(3(1(3(1(1(3(4(x1)))))))))) 0(2(0(4(0(3(x1)))))) -> 0(2(2(3(4(2(2(3(1(1(x1)))))))))) 0(4(0(1(1(2(x1)))))) -> 0(0(4(2(4(2(4(2(3(2(x1)))))))))) 0(4(3(2(3(5(x1)))))) -> 5(5(0(5(2(1(2(2(4(5(x1)))))))))) 0(4(4(4(0(4(x1)))))) -> 0(5(4(5(3(4(1(4(2(4(x1)))))))))) 1(1(5(0(1(2(x1)))))) -> 2(2(2(2(5(0(5(4(5(2(x1)))))))))) 1(2(3(2(0(3(x1)))))) -> 2(4(3(1(3(3(3(1(3(1(x1)))))))))) 2(0(3(0(2(3(x1)))))) -> 2(4(1(0(0(0(5(0(2(3(x1)))))))))) 2(1(4(4(3(2(x1)))))) -> 2(2(3(3(4(1(4(2(3(2(x1)))))))))) 3(3(0(3(5(4(x1)))))) -> 3(3(4(2(2(2(4(1(5(4(x1)))))))))) 3(3(5(4(3(1(x1)))))) -> 3(2(4(2(1(5(1(3(1(3(x1)))))))))) 3(5(1(5(1(2(x1)))))) -> 3(4(2(2(1(1(4(3(2(2(x1)))))))))) 3(5(3(1(1(0(x1)))))) -> 4(1(4(2(1(2(3(1(3(0(x1)))))))))) 4(1(0(4(4(2(x1)))))) -> 4(2(3(2(3(3(1(4(2(2(x1)))))))))) 4(3(2(0(3(3(x1)))))) -> 1(5(3(4(1(3(1(1(3(1(x1)))))))))) 4(5(3(2(0(2(x1)))))) -> 4(2(1(2(1(2(5(1(3(1(x1)))))))))) 0(1(1(2(0(3(2(x1))))))) -> 0(2(2(0(5(2(4(1(3(2(x1)))))))))) 0(3(0(2(5(1(3(x1))))))) -> 5(5(0(5(4(1(1(3(2(3(x1)))))))))) 0(3(0(3(0(5(4(x1))))))) -> 0(2(0(0(5(3(3(3(3(4(x1)))))))))) 0(3(5(1(1(3(0(x1))))))) -> 5(5(0(5(5(1(4(1(1(0(x1)))))))))) 0(4(0(1(2(5(3(x1))))))) -> 0(5(2(1(3(3(3(3(4(1(x1)))))))))) 0(5(0(4(3(4(5(x1))))))) -> 0(5(2(0(5(4(2(2(3(5(x1)))))))))) 1(2(0(3(2(5(4(x1))))))) -> 1(1(5(5(0(0(2(1(2(4(x1)))))))))) 1(3(0(0(1(1(5(x1))))))) -> 1(1(4(2(2(5(5(2(5(5(x1)))))))))) 1(3(4(0(4(0(2(x1))))))) -> 3(4(4(1(4(2(5(2(2(2(x1)))))))))) 1(5(1(5(2(3(2(x1))))))) -> 5(2(0(2(3(3(1(1(1(2(x1)))))))))) 1(5(2(3(0(5(0(x1))))))) -> 1(5(2(4(2(4(2(1(3(0(x1)))))))))) 1(5(3(2(5(3(5(x1))))))) -> 2(4(4(3(5(2(2(0(0(5(x1)))))))))) 1(5(4(4(5(3(2(x1))))))) -> 1(2(0(5(2(2(2(0(5(2(x1)))))))))) 2(0(3(0(5(4(4(x1))))))) -> 2(5(2(2(1(1(0(3(3(1(x1)))))))))) 2(0(3(4(4(4(4(x1))))))) -> 5(2(2(2(3(1(3(4(3(4(x1)))))))))) 2(3(0(2(0(3(4(x1))))))) -> 2(3(5(0(0(0(1(4(2(1(x1)))))))))) 2(3(5(1(0(0(5(x1))))))) -> 1(2(0(0(0(5(0(5(2(2(x1)))))))))) 3(0(2(3(0(5(4(x1))))))) -> 2(2(3(0(0(0(5(2(2(4(x1)))))))))) 3(0(3(2(0(1(2(x1))))))) -> 1(3(5(2(4(3(4(2(1(2(x1)))))))))) 3(0(4(4(4(0(2(x1))))))) -> 3(1(3(3(1(1(2(2(2(2(x1)))))))))) 3(2(0(1(3(3(0(x1))))))) -> 2(2(5(0(2(4(2(1(2(0(x1)))))))))) 3(4(3(0(4(4(0(x1))))))) -> 3(4(2(2(1(2(0(3(4(0(x1)))))))))) 3(4(4(4(4(3(5(x1))))))) -> 3(3(4(5(1(4(2(1(1(5(x1)))))))))) 3(5(0(0(3(2(4(x1))))))) -> 2(1(0(0(0(5(5(5(3(4(x1)))))))))) 3(5(4(0(3(3(4(x1))))))) -> 1(3(1(3(3(2(2(4(2(1(x1)))))))))) 4(2(0(1(1(3(0(x1))))))) -> 4(2(5(2(2(3(1(4(2(0(x1)))))))))) 4(4(4(5(3(4(0(x1))))))) -> 1(5(2(4(2(4(2(4(0(0(x1)))))))))) 4(4(5(5(3(2(4(x1))))))) -> 5(2(1(4(5(4(2(1(2(1(x1)))))))))) 4(5(0(3(0(3(0(x1))))))) -> 4(1(4(1(0(0(0(2(5(1(x1)))))))))) 4(5(0(4(3(0(0(x1))))))) -> 4(2(2(1(1(3(3(0(1(0(x1)))))))))) 5(3(1(1(3(5(3(x1))))))) -> 0(0(5(5(4(2(4(2(4(1(x1)))))))))) 5(3(2(2(0(1(3(x1))))))) -> 0(0(5(5(5(5(3(3(3(1(x1)))))))))) 5(4(1(0(4(2(0(x1))))))) -> 5(1(0(0(0(1(4(2(4(1(x1)))))))))) The (relative) TRS S consists of the following rules: encArg(cons_0(x_1)) -> 0(encArg(x_1)) encArg(cons_4(x_1)) -> 4(encArg(x_1)) encArg(cons_3(x_1)) -> 3(encArg(x_1)) encArg(cons_1(x_1)) -> 1(encArg(x_1)) encArg(cons_2(x_1)) -> 2(encArg(x_1)) encArg(cons_5(x_1)) -> 5(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(1(2(x1)))) -> 0(1(3(4(2(2(4(2(2(2(x1)))))))))) 4(0(1(4(x1)))) -> 4(2(3(1(1(3(3(3(2(4(x1)))))))))) 3(5(0(4(5(x1))))) -> 0(3(3(3(1(3(1(1(3(4(x1)))))))))) 0(2(0(4(0(3(x1)))))) -> 0(2(2(3(4(2(2(3(1(1(x1)))))))))) 0(4(0(1(1(2(x1)))))) -> 0(0(4(2(4(2(4(2(3(2(x1)))))))))) 0(4(3(2(3(5(x1)))))) -> 5(5(0(5(2(1(2(2(4(5(x1)))))))))) 0(4(4(4(0(4(x1)))))) -> 0(5(4(5(3(4(1(4(2(4(x1)))))))))) 1(1(5(0(1(2(x1)))))) -> 2(2(2(2(5(0(5(4(5(2(x1)))))))))) 1(2(3(2(0(3(x1)))))) -> 2(4(3(1(3(3(3(1(3(1(x1)))))))))) 2(0(3(0(2(3(x1)))))) -> 2(4(1(0(0(0(5(0(2(3(x1)))))))))) 2(1(4(4(3(2(x1)))))) -> 2(2(3(3(4(1(4(2(3(2(x1)))))))))) 3(3(0(3(5(4(x1)))))) -> 3(3(4(2(2(2(4(1(5(4(x1)))))))))) 3(3(5(4(3(1(x1)))))) -> 3(2(4(2(1(5(1(3(1(3(x1)))))))))) 3(5(1(5(1(2(x1)))))) -> 3(4(2(2(1(1(4(3(2(2(x1)))))))))) 3(5(3(1(1(0(x1)))))) -> 4(1(4(2(1(2(3(1(3(0(x1)))))))))) 4(1(0(4(4(2(x1)))))) -> 4(2(3(2(3(3(1(4(2(2(x1)))))))))) 4(3(2(0(3(3(x1)))))) -> 1(5(3(4(1(3(1(1(3(1(x1)))))))))) 4(5(3(2(0(2(x1)))))) -> 4(2(1(2(1(2(5(1(3(1(x1)))))))))) 0(1(1(2(0(3(2(x1))))))) -> 0(2(2(0(5(2(4(1(3(2(x1)))))))))) 0(3(0(2(5(1(3(x1))))))) -> 5(5(0(5(4(1(1(3(2(3(x1)))))))))) 0(3(0(3(0(5(4(x1))))))) -> 0(2(0(0(5(3(3(3(3(4(x1)))))))))) 0(3(5(1(1(3(0(x1))))))) -> 5(5(0(5(5(1(4(1(1(0(x1)))))))))) 0(4(0(1(2(5(3(x1))))))) -> 0(5(2(1(3(3(3(3(4(1(x1)))))))))) 0(5(0(4(3(4(5(x1))))))) -> 0(5(2(0(5(4(2(2(3(5(x1)))))))))) 1(2(0(3(2(5(4(x1))))))) -> 1(1(5(5(0(0(2(1(2(4(x1)))))))))) 1(3(0(0(1(1(5(x1))))))) -> 1(1(4(2(2(5(5(2(5(5(x1)))))))))) 1(3(4(0(4(0(2(x1))))))) -> 3(4(4(1(4(2(5(2(2(2(x1)))))))))) 1(5(1(5(2(3(2(x1))))))) -> 5(2(0(2(3(3(1(1(1(2(x1)))))))))) 1(5(2(3(0(5(0(x1))))))) -> 1(5(2(4(2(4(2(1(3(0(x1)))))))))) 1(5(3(2(5(3(5(x1))))))) -> 2(4(4(3(5(2(2(0(0(5(x1)))))))))) 1(5(4(4(5(3(2(x1))))))) -> 1(2(0(5(2(2(2(0(5(2(x1)))))))))) 2(0(3(0(5(4(4(x1))))))) -> 2(5(2(2(1(1(0(3(3(1(x1)))))))))) 2(0(3(4(4(4(4(x1))))))) -> 5(2(2(2(3(1(3(4(3(4(x1)))))))))) 2(3(0(2(0(3(4(x1))))))) -> 2(3(5(0(0(0(1(4(2(1(x1)))))))))) 2(3(5(1(0(0(5(x1))))))) -> 1(2(0(0(0(5(0(5(2(2(x1)))))))))) 3(0(2(3(0(5(4(x1))))))) -> 2(2(3(0(0(0(5(2(2(4(x1)))))))))) 3(0(3(2(0(1(2(x1))))))) -> 1(3(5(2(4(3(4(2(1(2(x1)))))))))) 3(0(4(4(4(0(2(x1))))))) -> 3(1(3(3(1(1(2(2(2(2(x1)))))))))) 3(2(0(1(3(3(0(x1))))))) -> 2(2(5(0(2(4(2(1(2(0(x1)))))))))) 3(4(3(0(4(4(0(x1))))))) -> 3(4(2(2(1(2(0(3(4(0(x1)))))))))) 3(4(4(4(4(3(5(x1))))))) -> 3(3(4(5(1(4(2(1(1(5(x1)))))))))) 3(5(0(0(3(2(4(x1))))))) -> 2(1(0(0(0(5(5(5(3(4(x1)))))))))) 3(5(4(0(3(3(4(x1))))))) -> 1(3(1(3(3(2(2(4(2(1(x1)))))))))) 4(2(0(1(1(3(0(x1))))))) -> 4(2(5(2(2(3(1(4(2(0(x1)))))))))) 4(4(4(5(3(4(0(x1))))))) -> 1(5(2(4(2(4(2(4(0(0(x1)))))))))) 4(4(5(5(3(2(4(x1))))))) -> 5(2(1(4(5(4(2(1(2(1(x1)))))))))) 4(5(0(3(0(3(0(x1))))))) -> 4(1(4(1(0(0(0(2(5(1(x1)))))))))) 4(5(0(4(3(0(0(x1))))))) -> 4(2(2(1(1(3(3(0(1(0(x1)))))))))) 5(3(1(1(3(5(3(x1))))))) -> 0(0(5(5(4(2(4(2(4(1(x1)))))))))) 5(3(2(2(0(1(3(x1))))))) -> 0(0(5(5(5(5(3(3(3(1(x1)))))))))) 5(4(1(0(4(2(0(x1))))))) -> 5(1(0(0(0(1(4(2(4(1(x1)))))))))) The (relative) TRS S consists of the following rules: encArg(cons_0(x_1)) -> 0(encArg(x_1)) encArg(cons_4(x_1)) -> 4(encArg(x_1)) encArg(cons_3(x_1)) -> 3(encArg(x_1)) encArg(cons_1(x_1)) -> 1(encArg(x_1)) encArg(cons_2(x_1)) -> 2(encArg(x_1)) encArg(cons_5(x_1)) -> 5(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(1(2(x1)))) -> 0(1(3(4(2(2(4(2(2(2(x1)))))))))) 4(0(1(4(x1)))) -> 4(2(3(1(1(3(3(3(2(4(x1)))))))))) 3(5(0(4(5(x1))))) -> 0(3(3(3(1(3(1(1(3(4(x1)))))))))) 0(2(0(4(0(3(x1)))))) -> 0(2(2(3(4(2(2(3(1(1(x1)))))))))) 0(4(0(1(1(2(x1)))))) -> 0(0(4(2(4(2(4(2(3(2(x1)))))))))) 0(4(3(2(3(5(x1)))))) -> 5(5(0(5(2(1(2(2(4(5(x1)))))))))) 0(4(4(4(0(4(x1)))))) -> 0(5(4(5(3(4(1(4(2(4(x1)))))))))) 1(1(5(0(1(2(x1)))))) -> 2(2(2(2(5(0(5(4(5(2(x1)))))))))) 1(2(3(2(0(3(x1)))))) -> 2(4(3(1(3(3(3(1(3(1(x1)))))))))) 2(0(3(0(2(3(x1)))))) -> 2(4(1(0(0(0(5(0(2(3(x1)))))))))) 2(1(4(4(3(2(x1)))))) -> 2(2(3(3(4(1(4(2(3(2(x1)))))))))) 3(3(0(3(5(4(x1)))))) -> 3(3(4(2(2(2(4(1(5(4(x1)))))))))) 3(3(5(4(3(1(x1)))))) -> 3(2(4(2(1(5(1(3(1(3(x1)))))))))) 3(5(1(5(1(2(x1)))))) -> 3(4(2(2(1(1(4(3(2(2(x1)))))))))) 3(5(3(1(1(0(x1)))))) -> 4(1(4(2(1(2(3(1(3(0(x1)))))))))) 4(1(0(4(4(2(x1)))))) -> 4(2(3(2(3(3(1(4(2(2(x1)))))))))) 4(3(2(0(3(3(x1)))))) -> 1(5(3(4(1(3(1(1(3(1(x1)))))))))) 4(5(3(2(0(2(x1)))))) -> 4(2(1(2(1(2(5(1(3(1(x1)))))))))) 0(1(1(2(0(3(2(x1))))))) -> 0(2(2(0(5(2(4(1(3(2(x1)))))))))) 0(3(0(2(5(1(3(x1))))))) -> 5(5(0(5(4(1(1(3(2(3(x1)))))))))) 0(3(0(3(0(5(4(x1))))))) -> 0(2(0(0(5(3(3(3(3(4(x1)))))))))) 0(3(5(1(1(3(0(x1))))))) -> 5(5(0(5(5(1(4(1(1(0(x1)))))))))) 0(4(0(1(2(5(3(x1))))))) -> 0(5(2(1(3(3(3(3(4(1(x1)))))))))) 0(5(0(4(3(4(5(x1))))))) -> 0(5(2(0(5(4(2(2(3(5(x1)))))))))) 1(2(0(3(2(5(4(x1))))))) -> 1(1(5(5(0(0(2(1(2(4(x1)))))))))) 1(3(0(0(1(1(5(x1))))))) -> 1(1(4(2(2(5(5(2(5(5(x1)))))))))) 1(3(4(0(4(0(2(x1))))))) -> 3(4(4(1(4(2(5(2(2(2(x1)))))))))) 1(5(1(5(2(3(2(x1))))))) -> 5(2(0(2(3(3(1(1(1(2(x1)))))))))) 1(5(2(3(0(5(0(x1))))))) -> 1(5(2(4(2(4(2(1(3(0(x1)))))))))) 1(5(3(2(5(3(5(x1))))))) -> 2(4(4(3(5(2(2(0(0(5(x1)))))))))) 1(5(4(4(5(3(2(x1))))))) -> 1(2(0(5(2(2(2(0(5(2(x1)))))))))) 2(0(3(0(5(4(4(x1))))))) -> 2(5(2(2(1(1(0(3(3(1(x1)))))))))) 2(0(3(4(4(4(4(x1))))))) -> 5(2(2(2(3(1(3(4(3(4(x1)))))))))) 2(3(0(2(0(3(4(x1))))))) -> 2(3(5(0(0(0(1(4(2(1(x1)))))))))) 2(3(5(1(0(0(5(x1))))))) -> 1(2(0(0(0(5(0(5(2(2(x1)))))))))) 3(0(2(3(0(5(4(x1))))))) -> 2(2(3(0(0(0(5(2(2(4(x1)))))))))) 3(0(3(2(0(1(2(x1))))))) -> 1(3(5(2(4(3(4(2(1(2(x1)))))))))) 3(0(4(4(4(0(2(x1))))))) -> 3(1(3(3(1(1(2(2(2(2(x1)))))))))) 3(2(0(1(3(3(0(x1))))))) -> 2(2(5(0(2(4(2(1(2(0(x1)))))))))) 3(4(3(0(4(4(0(x1))))))) -> 3(4(2(2(1(2(0(3(4(0(x1)))))))))) 3(4(4(4(4(3(5(x1))))))) -> 3(3(4(5(1(4(2(1(1(5(x1)))))))))) 3(5(0(0(3(2(4(x1))))))) -> 2(1(0(0(0(5(5(5(3(4(x1)))))))))) 3(5(4(0(3(3(4(x1))))))) -> 1(3(1(3(3(2(2(4(2(1(x1)))))))))) 4(2(0(1(1(3(0(x1))))))) -> 4(2(5(2(2(3(1(4(2(0(x1)))))))))) 4(4(4(5(3(4(0(x1))))))) -> 1(5(2(4(2(4(2(4(0(0(x1)))))))))) 4(4(5(5(3(2(4(x1))))))) -> 5(2(1(4(5(4(2(1(2(1(x1)))))))))) 4(5(0(3(0(3(0(x1))))))) -> 4(1(4(1(0(0(0(2(5(1(x1)))))))))) 4(5(0(4(3(0(0(x1))))))) -> 4(2(2(1(1(3(3(0(1(0(x1)))))))))) 5(3(1(1(3(5(3(x1))))))) -> 0(0(5(5(4(2(4(2(4(1(x1)))))))))) 5(3(2(2(0(1(3(x1))))))) -> 0(0(5(5(5(5(3(3(3(1(x1)))))))))) 5(4(1(0(4(2(0(x1))))))) -> 5(1(0(0(0(1(4(2(4(1(x1)))))))))) encArg(cons_0(x_1)) -> 0(encArg(x_1)) encArg(cons_4(x_1)) -> 4(encArg(x_1)) encArg(cons_3(x_1)) -> 3(encArg(x_1)) encArg(cons_1(x_1)) -> 1(encArg(x_1)) encArg(cons_2(x_1)) -> 2(encArg(x_1)) encArg(cons_5(x_1)) -> 5(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 2. The certificate found is represented by the following graph. "[112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 149, 150, 151, 152, 153, 154, 155, 156, 157, 158, 159, 160, 161, 162, 163, 164, 165, 166, 167, 168, 169, 170, 171, 172, 173, 174, 175, 176, 177, 178, 179, 180, 181, 182, 183, 184, 185, 186, 187, 188, 189, 190, 191, 192, 193, 194, 195, 196, 197, 198, 199, 200, 201, 202, 203, 204, 205, 206, 207, 208, 209, 210, 211, 212, 213, 214, 215, 216, 217, 218, 219, 220, 221, 222, 223, 224, 225, 226, 227, 228, 229, 230, 231, 232, 233, 234, 235, 236, 237, 238, 239, 240, 241, 242, 243, 244, 245, 246, 247, 248, 249, 250, 251, 252, 253, 254, 255, 256, 257, 258, 259, 260, 261, 262, 263, 264, 265, 266, 267, 268, 269, 270, 271, 272, 273, 274, 275, 276, 277, 278, 279, 280, 281, 282, 283, 284, 285, 286, 287, 288, 289, 290, 291, 292, 293, 294, 295, 296, 297, 298, 299, 300, 301, 302, 303, 304, 305, 306, 307, 308, 309, 310, 311, 312, 313, 314, 315, 316, 317, 318, 319, 320, 321, 322, 323, 324, 325, 326, 327, 328, 329, 330, 331, 332, 333, 334, 335, 336, 337, 338, 339, 340, 341, 342, 343, 344, 345, 346, 347, 348, 349, 350, 351, 352, 353, 354, 355, 356, 357, 358, 359, 360, 361, 362, 363, 364, 365, 366, 367, 368, 369, 370, 371, 372, 373, 374, 375, 376, 377, 378, 379, 380, 381, 382, 383, 384, 385, 386, 387, 388, 389, 390, 391, 392, 393, 394, 395, 396, 397, 398, 399, 400, 401, 402, 403, 404, 405, 406, 407, 408, 409, 410, 411, 412, 413, 414, 415, 416, 417, 418, 419, 420, 421, 422, 423, 424, 425, 426, 427, 428, 429, 430, 431, 432, 433, 434, 435, 436, 437, 438, 439, 440, 441, 442, 443, 444, 445, 446, 447, 448, 449, 450, 451, 452, 453, 454, 455, 456, 457, 458, 459, 460, 461, 462, 463, 464, 465, 466, 467, 468, 469, 470, 471, 472, 473, 474, 475, 476, 477, 478, 479, 480, 481, 482, 483, 484, 485, 486, 487, 488, 489, 490, 491, 492, 493, 494, 495, 496, 497, 498, 499, 500, 501, 502, 503, 504, 505, 506, 507, 508, 509, 510, 511, 512, 513, 514, 515, 516, 517, 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] {(112,113,[0_1|0, 4_1|0, 3_1|0, 1_1|0, 2_1|0, 5_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]), (112,114,[0_1|1, 4_1|1, 3_1|1, 1_1|1, 2_1|1, 5_1|1]), (112,115,[0_1|2]), (112,124,[0_1|2]), (112,133,[0_1|2]), (112,142,[0_1|2]), (112,151,[0_1|2]), (112,160,[5_1|2]), (112,169,[0_1|2]), (112,178,[5_1|2]), (112,187,[0_1|2]), (112,196,[5_1|2]), (112,205,[0_1|2]), (112,214,[4_1|2]), (112,223,[4_1|2]), (112,232,[1_1|2]), (112,241,[4_1|2]), (112,250,[4_1|2]), (112,259,[4_1|2]), (112,268,[4_1|2]), (112,277,[1_1|2]), (112,286,[5_1|2]), (112,295,[0_1|2]), (112,304,[2_1|2]), (112,313,[3_1|2]), (112,322,[4_1|2]), (112,331,[1_1|2]), (112,340,[3_1|2]), (112,349,[3_1|2]), (112,358,[2_1|2]), (112,367,[1_1|2]), (112,376,[3_1|2]), (112,385,[2_1|2]), (112,394,[3_1|2]), (112,403,[3_1|2]), (112,412,[2_1|2]), (112,421,[2_1|2]), (112,430,[1_1|2]), (112,439,[1_1|2]), (112,448,[3_1|2]), (112,457,[5_1|2]), (112,466,[1_1|2]), (112,475,[2_1|2]), (112,484,[1_1|2]), (112,493,[2_1|2]), (112,502,[2_1|2]), (112,511,[5_1|2]), (112,520,[2_1|2]), (112,529,[2_1|2]), (112,538,[1_1|2]), (112,547,[0_1|2]), (112,556,[0_1|2]), (112,565,[5_1|2]), (113,113,[cons_0_1|0, cons_4_1|0, cons_3_1|0, cons_1_1|0, cons_2_1|0, cons_5_1|0]), (114,113,[encArg_1|1]), (114,114,[0_1|1, 4_1|1, 3_1|1, 1_1|1, 2_1|1, 5_1|1]), (114,115,[0_1|2]), (114,124,[0_1|2]), (114,133,[0_1|2]), (114,142,[0_1|2]), (114,151,[0_1|2]), (114,160,[5_1|2]), (114,169,[0_1|2]), (114,178,[5_1|2]), (114,187,[0_1|2]), (114,196,[5_1|2]), (114,205,[0_1|2]), (114,214,[4_1|2]), (114,223,[4_1|2]), (114,232,[1_1|2]), (114,241,[4_1|2]), (114,250,[4_1|2]), (114,259,[4_1|2]), (114,268,[4_1|2]), (114,277,[1_1|2]), (114,286,[5_1|2]), (114,295,[0_1|2]), (114,304,[2_1|2]), (114,313,[3_1|2]), (114,322,[4_1|2]), (114,331,[1_1|2]), (114,340,[3_1|2]), (114,349,[3_1|2]), (114,358,[2_1|2]), (114,367,[1_1|2]), (114,376,[3_1|2]), (114,385,[2_1|2]), (114,394,[3_1|2]), (114,403,[3_1|2]), (114,412,[2_1|2]), (114,421,[2_1|2]), (114,430,[1_1|2]), (114,439,[1_1|2]), (114,448,[3_1|2]), (114,457,[5_1|2]), (114,466,[1_1|2]), (114,475,[2_1|2]), (114,484,[1_1|2]), (114,493,[2_1|2]), (114,502,[2_1|2]), (114,511,[5_1|2]), (114,520,[2_1|2]), (114,529,[2_1|2]), (114,538,[1_1|2]), (114,547,[0_1|2]), (114,556,[0_1|2]), (114,565,[5_1|2]), (115,116,[1_1|2]), (116,117,[3_1|2]), (117,118,[4_1|2]), (118,119,[2_1|2]), (119,120,[2_1|2]), (120,121,[4_1|2]), (121,122,[2_1|2]), (122,123,[2_1|2]), (123,114,[2_1|2]), (123,304,[2_1|2]), (123,358,[2_1|2]), (123,385,[2_1|2]), (123,412,[2_1|2]), (123,421,[2_1|2]), (123,475,[2_1|2]), (123,493,[2_1|2]), (123,502,[2_1|2]), (123,520,[2_1|2]), (123,529,[2_1|2]), (123,485,[2_1|2]), (123,539,[2_1|2]), (123,511,[5_1|2]), (123,538,[1_1|2]), (124,125,[2_1|2]), (125,126,[2_1|2]), (126,127,[0_1|2]), (127,128,[5_1|2]), (128,129,[2_1|2]), (129,130,[4_1|2]), (130,131,[1_1|2]), (131,132,[3_1|2]), (131,385,[2_1|2]), (132,114,[2_1|2]), (132,304,[2_1|2]), (132,358,[2_1|2]), (132,385,[2_1|2]), (132,412,[2_1|2]), (132,421,[2_1|2]), (132,475,[2_1|2]), (132,493,[2_1|2]), (132,502,[2_1|2]), (132,520,[2_1|2]), (132,529,[2_1|2]), (132,350,[2_1|2]), (132,511,[5_1|2]), (132,538,[1_1|2]), (133,134,[2_1|2]), (134,135,[2_1|2]), (135,136,[3_1|2]), (136,137,[4_1|2]), (137,138,[2_1|2]), (138,139,[2_1|2]), (139,140,[3_1|2]), (140,141,[1_1|2]), (140,412,[2_1|2]), (141,114,[1_1|2]), (141,313,[1_1|2]), (141,340,[1_1|2]), (141,349,[1_1|2]), (141,376,[1_1|2]), (141,394,[1_1|2]), (141,403,[1_1|2]), (141,448,[1_1|2, 3_1|2]), (141,296,[1_1|2]), (141,412,[2_1|2]), (141,421,[2_1|2]), (141,430,[1_1|2]), (141,439,[1_1|2]), (141,457,[5_1|2]), (141,466,[1_1|2]), (141,475,[2_1|2]), (141,484,[1_1|2]), (142,143,[0_1|2]), (143,144,[4_1|2]), (144,145,[2_1|2]), (145,146,[4_1|2]), (146,147,[2_1|2]), (147,148,[4_1|2]), (148,149,[2_1|2]), (149,150,[3_1|2]), (149,385,[2_1|2]), (150,114,[2_1|2]), (150,304,[2_1|2]), (150,358,[2_1|2]), (150,385,[2_1|2]), (150,412,[2_1|2]), (150,421,[2_1|2]), (150,475,[2_1|2]), (150,493,[2_1|2]), (150,502,[2_1|2]), (150,520,[2_1|2]), (150,529,[2_1|2]), (150,485,[2_1|2]), (150,539,[2_1|2]), (150,511,[5_1|2]), (150,538,[1_1|2]), (151,152,[5_1|2]), (152,153,[2_1|2]), (153,154,[1_1|2]), (154,155,[3_1|2]), (155,156,[3_1|2]), (156,157,[3_1|2]), (157,158,[3_1|2]), (158,159,[4_1|2]), (158,223,[4_1|2]), (159,114,[1_1|2]), (159,313,[1_1|2]), (159,340,[1_1|2]), (159,349,[1_1|2]), (159,376,[1_1|2]), (159,394,[1_1|2]), (159,403,[1_1|2]), (159,448,[1_1|2, 3_1|2]), (159,412,[2_1|2]), (159,421,[2_1|2]), (159,430,[1_1|2]), (159,439,[1_1|2]), (159,457,[5_1|2]), (159,466,[1_1|2]), (159,475,[2_1|2]), (159,484,[1_1|2]), (160,161,[5_1|2]), (161,162,[0_1|2]), (162,163,[5_1|2]), (163,164,[2_1|2]), (164,165,[1_1|2]), (165,166,[2_1|2]), (166,167,[2_1|2]), (167,168,[4_1|2]), (167,241,[4_1|2]), (167,250,[4_1|2]), (167,259,[4_1|2]), (168,114,[5_1|2]), (168,160,[5_1|2]), (168,178,[5_1|2]), (168,196,[5_1|2]), (168,286,[5_1|2]), (168,457,[5_1|2]), (168,511,[5_1|2]), (168,565,[5_1|2]), (168,531,[5_1|2]), (168,547,[0_1|2]), (168,556,[0_1|2]), (169,170,[5_1|2]), (170,171,[4_1|2]), (171,172,[5_1|2]), (172,173,[3_1|2]), (173,174,[4_1|2]), (174,175,[1_1|2]), (175,176,[4_1|2]), (176,177,[2_1|2]), (177,114,[4_1|2]), (177,214,[4_1|2]), (177,223,[4_1|2]), (177,241,[4_1|2]), (177,250,[4_1|2]), (177,259,[4_1|2]), (177,268,[4_1|2]), (177,322,[4_1|2]), (177,232,[1_1|2]), (177,277,[1_1|2]), (177,286,[5_1|2]), (178,179,[5_1|2]), (179,180,[0_1|2]), (180,181,[5_1|2]), (181,182,[4_1|2]), (182,183,[1_1|2]), (183,184,[1_1|2]), (184,185,[3_1|2]), (185,186,[2_1|2]), (185,529,[2_1|2]), (185,538,[1_1|2]), (186,114,[3_1|2]), (186,313,[3_1|2]), (186,340,[3_1|2]), (186,349,[3_1|2]), (186,376,[3_1|2]), (186,394,[3_1|2]), (186,403,[3_1|2]), (186,448,[3_1|2]), (186,332,[3_1|2]), (186,368,[3_1|2]), (186,295,[0_1|2]), (186,304,[2_1|2]), (186,322,[4_1|2]), (186,331,[1_1|2]), (186,358,[2_1|2]), (186,367,[1_1|2]), (186,385,[2_1|2]), (187,188,[2_1|2]), (188,189,[0_1|2]), (189,190,[0_1|2]), (190,191,[5_1|2]), (191,192,[3_1|2]), (192,193,[3_1|2]), (193,194,[3_1|2]), (194,195,[3_1|2]), (194,394,[3_1|2]), (194,403,[3_1|2]), (195,114,[4_1|2]), (195,214,[4_1|2]), (195,223,[4_1|2]), (195,241,[4_1|2]), (195,250,[4_1|2]), (195,259,[4_1|2]), (195,268,[4_1|2]), (195,322,[4_1|2]), (195,171,[4_1|2]), (195,232,[1_1|2]), (195,277,[1_1|2]), (195,286,[5_1|2]), (196,197,[5_1|2]), (197,198,[0_1|2]), (198,199,[5_1|2]), (199,200,[5_1|2]), (200,201,[1_1|2]), (201,202,[4_1|2]), (202,203,[1_1|2]), (203,204,[1_1|2]), (204,114,[0_1|2]), (204,115,[0_1|2]), (204,124,[0_1|2]), (204,133,[0_1|2]), (204,142,[0_1|2]), (204,151,[0_1|2]), (204,169,[0_1|2]), (204,187,[0_1|2]), (204,205,[0_1|2]), (204,295,[0_1|2]), (204,547,[0_1|2]), (204,556,[0_1|2]), (204,160,[5_1|2]), (204,178,[5_1|2]), (204,196,[5_1|2]), (205,206,[5_1|2]), (206,207,[2_1|2]), (207,208,[0_1|2]), (208,209,[5_1|2]), (209,210,[4_1|2]), (210,211,[2_1|2]), (211,212,[2_1|2]), (211,538,[1_1|2]), (212,213,[3_1|2]), (212,295,[0_1|2]), (212,304,[2_1|2]), (212,313,[3_1|2]), (212,322,[4_1|2]), (212,331,[1_1|2]), (213,114,[5_1|2]), (213,160,[5_1|2]), (213,178,[5_1|2]), (213,196,[5_1|2]), (213,286,[5_1|2]), (213,457,[5_1|2]), (213,511,[5_1|2]), (213,565,[5_1|2]), (213,547,[0_1|2]), (213,556,[0_1|2]), (214,215,[2_1|2]), (215,216,[3_1|2]), (216,217,[1_1|2]), (217,218,[1_1|2]), (218,219,[3_1|2]), (219,220,[3_1|2]), (220,221,[3_1|2]), (221,222,[2_1|2]), (222,114,[4_1|2]), (222,214,[4_1|2]), (222,223,[4_1|2]), (222,241,[4_1|2]), (222,250,[4_1|2]), (222,259,[4_1|2]), (222,268,[4_1|2]), (222,322,[4_1|2]), (222,232,[1_1|2]), (222,277,[1_1|2]), (222,286,[5_1|2]), (223,224,[2_1|2]), (224,225,[3_1|2]), (225,226,[2_1|2]), (226,227,[3_1|2]), (227,228,[3_1|2]), (228,229,[1_1|2]), (229,230,[4_1|2]), (230,231,[2_1|2]), (231,114,[2_1|2]), (231,304,[2_1|2]), (231,358,[2_1|2]), (231,385,[2_1|2]), (231,412,[2_1|2]), (231,421,[2_1|2]), (231,475,[2_1|2]), (231,493,[2_1|2]), (231,502,[2_1|2]), (231,520,[2_1|2]), (231,529,[2_1|2]), (231,215,[2_1|2]), (231,224,[2_1|2]), (231,242,[2_1|2]), (231,260,[2_1|2]), (231,269,[2_1|2]), (231,511,[5_1|2]), (231,538,[1_1|2]), (232,233,[5_1|2]), (233,234,[3_1|2]), (234,235,[4_1|2]), (235,236,[1_1|2]), (236,237,[3_1|2]), (237,238,[1_1|2]), (238,239,[1_1|2]), (239,240,[3_1|2]), (240,114,[1_1|2]), (240,313,[1_1|2]), (240,340,[1_1|2]), (240,349,[1_1|2]), (240,376,[1_1|2]), (240,394,[1_1|2]), (240,403,[1_1|2]), (240,448,[1_1|2, 3_1|2]), (240,341,[1_1|2]), (240,404,[1_1|2]), (240,297,[1_1|2]), (240,412,[2_1|2]), (240,421,[2_1|2]), (240,430,[1_1|2]), (240,439,[1_1|2]), (240,457,[5_1|2]), (240,466,[1_1|2]), (240,475,[2_1|2]), (240,484,[1_1|2]), (241,242,[2_1|2]), (242,243,[1_1|2]), (243,244,[2_1|2]), (244,245,[1_1|2]), (245,246,[2_1|2]), (246,247,[5_1|2]), (247,248,[1_1|2]), (248,249,[3_1|2]), (249,114,[1_1|2]), (249,304,[1_1|2]), (249,358,[1_1|2]), (249,385,[1_1|2]), (249,412,[1_1|2, 2_1|2]), (249,421,[1_1|2, 2_1|2]), (249,475,[1_1|2, 2_1|2]), (249,493,[1_1|2]), (249,502,[1_1|2]), (249,520,[1_1|2]), (249,529,[1_1|2]), (249,125,[1_1|2]), (249,134,[1_1|2]), (249,188,[1_1|2]), (249,430,[1_1|2]), (249,439,[1_1|2]), (249,448,[3_1|2]), (249,457,[5_1|2]), (249,466,[1_1|2]), (249,484,[1_1|2]), (250,251,[1_1|2]), (251,252,[4_1|2]), (252,253,[1_1|2]), (253,254,[0_1|2]), (254,255,[0_1|2]), (255,256,[0_1|2]), (256,257,[2_1|2]), (257,258,[5_1|2]), (258,114,[1_1|2]), (258,115,[1_1|2]), (258,124,[1_1|2]), (258,133,[1_1|2]), (258,142,[1_1|2]), (258,151,[1_1|2]), (258,169,[1_1|2]), (258,187,[1_1|2]), (258,205,[1_1|2]), (258,295,[1_1|2]), (258,547,[1_1|2]), (258,556,[1_1|2]), (258,412,[2_1|2]), (258,421,[2_1|2]), (258,430,[1_1|2]), (258,439,[1_1|2]), 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(528,304,[2_1|2]), (528,358,[2_1|2]), (528,385,[2_1|2]), (528,412,[2_1|2]), (528,421,[2_1|2]), (528,475,[2_1|2]), (528,493,[2_1|2]), (528,502,[2_1|2]), (528,520,[2_1|2]), (528,529,[2_1|2]), (528,350,[2_1|2]), (528,511,[5_1|2]), (528,538,[1_1|2]), (529,530,[3_1|2]), (530,531,[5_1|2]), (531,532,[0_1|2]), (532,533,[0_1|2]), (533,534,[0_1|2]), (534,535,[1_1|2]), (535,536,[4_1|2]), (536,537,[2_1|2]), (536,520,[2_1|2]), (537,114,[1_1|2]), (537,214,[1_1|2]), (537,223,[1_1|2]), (537,241,[1_1|2]), (537,250,[1_1|2]), (537,259,[1_1|2]), (537,268,[1_1|2]), (537,322,[1_1|2]), (537,314,[1_1|2]), (537,395,[1_1|2]), (537,449,[1_1|2]), (537,412,[2_1|2]), (537,421,[2_1|2]), (537,430,[1_1|2]), (537,439,[1_1|2]), (537,448,[3_1|2]), (537,457,[5_1|2]), (537,466,[1_1|2]), (537,475,[2_1|2]), (537,484,[1_1|2]), (538,539,[2_1|2]), (539,540,[0_1|2]), (540,541,[0_1|2]), (541,542,[0_1|2]), (542,543,[5_1|2]), (543,544,[0_1|2]), (544,545,[5_1|2]), (545,546,[2_1|2]), (546,114,[2_1|2]), (546,160,[2_1|2]), (546,178,[2_1|2]), (546,196,[2_1|2]), (546,286,[2_1|2]), (546,457,[2_1|2]), (546,511,[2_1|2, 5_1|2]), (546,565,[2_1|2]), (546,152,[2_1|2]), (546,170,[2_1|2]), (546,206,[2_1|2]), (546,549,[2_1|2]), (546,558,[2_1|2]), (546,493,[2_1|2]), (546,502,[2_1|2]), (546,520,[2_1|2]), (546,529,[2_1|2]), (546,538,[1_1|2]), (547,548,[0_1|2]), (548,549,[5_1|2]), (549,550,[5_1|2]), (550,551,[4_1|2]), (551,552,[2_1|2]), (552,553,[4_1|2]), (553,554,[2_1|2]), (554,555,[4_1|2]), (554,223,[4_1|2]), (555,114,[1_1|2]), (555,313,[1_1|2]), (555,340,[1_1|2]), (555,349,[1_1|2]), (555,376,[1_1|2]), (555,394,[1_1|2]), (555,403,[1_1|2]), (555,448,[1_1|2, 3_1|2]), (555,412,[2_1|2]), (555,421,[2_1|2]), (555,430,[1_1|2]), (555,439,[1_1|2]), (555,457,[5_1|2]), (555,466,[1_1|2]), (555,475,[2_1|2]), (555,484,[1_1|2]), (556,557,[0_1|2]), (557,558,[5_1|2]), (558,559,[5_1|2]), (559,560,[5_1|2]), (560,561,[5_1|2]), (561,562,[3_1|2]), (562,563,[3_1|2]), (563,564,[3_1|2]), (564,114,[1_1|2]), (564,313,[1_1|2]), (564,340,[1_1|2]), (564,349,[1_1|2]), (564,376,[1_1|2]), (564,394,[1_1|2]), (564,403,[1_1|2]), (564,448,[1_1|2, 3_1|2]), (564,332,[1_1|2]), (564,368,[1_1|2]), (564,117,[1_1|2]), (564,412,[2_1|2]), (564,421,[2_1|2]), (564,430,[1_1|2]), (564,439,[1_1|2]), (564,457,[5_1|2]), (564,466,[1_1|2]), (564,475,[2_1|2]), (564,484,[1_1|2]), (565,566,[1_1|2]), (566,567,[0_1|2]), (567,568,[0_1|2]), (568,569,[0_1|2]), (569,570,[1_1|2]), (570,571,[4_1|2]), (571,572,[2_1|2]), (572,573,[4_1|2]), (572,223,[4_1|2]), (573,114,[1_1|2]), (573,115,[1_1|2]), (573,124,[1_1|2]), (573,133,[1_1|2]), (573,142,[1_1|2]), (573,151,[1_1|2]), (573,169,[1_1|2]), (573,187,[1_1|2]), (573,205,[1_1|2]), (573,295,[1_1|2]), (573,547,[1_1|2]), (573,556,[1_1|2]), (573,412,[2_1|2]), (573,421,[2_1|2]), (573,430,[1_1|2]), (573,439,[1_1|2]), (573,448,[3_1|2]), (573,457,[5_1|2]), (573,466,[1_1|2]), (573,475,[2_1|2]), (573,484,[1_1|2])}" ---------------------------------------- (8) BOUNDS(1, n^1)