/export/starexec/sandbox/solver/bin/starexec_run_rcdcRelativeAlsoLower /export/starexec/sandbox/benchmark/theBenchmark.xml /export/starexec/sandbox/output/output_files -------------------------------------------------------------------------------- WORST_CASE(?, O(n^1)) proof of /export/starexec/sandbox/benchmark/theBenchmark.xml # AProVE Commit ID: 794c25de1cacf0d048858bcd21c9a779e1221865 marcel 20200619 unpublished dirty The Derivational Complexity (full) of the given DCpxTrs could be proven to be BOUNDS(1, n^1).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), 46 ms] (4) CpxRelTRS (5) RelTrsToTrsProof [UPPER BOUND(ID), 0 ms] (6) CpxTRS (7) CpxTrsMatchBoundsProof [FINISHED, 233 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(0(x1))) -> 2(2(2(3(3(4(0(0(3(3(x1)))))))))) 4(1(0(x1))) -> 0(3(4(3(3(3(4(3(0(3(x1)))))))))) 3(0(1(4(x1)))) -> 3(2(5(0(3(4(3(4(3(3(x1)))))))))) 5(3(1(4(x1)))) -> 0(3(3(3(4(4(3(3(3(0(x1)))))))))) 0(1(3(5(2(3(x1)))))) -> 0(1(3(3(2(3(3(0(5(4(x1)))))))))) 0(1(4(2(4(5(x1)))))) -> 0(0(2(0(5(0(3(3(3(1(x1)))))))))) 1(0(0(4(1(4(x1)))))) -> 1(4(1(1(0(3(4(3(3(3(x1)))))))))) 1(5(3(1(1(0(x1)))))) -> 1(0(3(3(2(0(5(4(3(3(x1)))))))))) 1(5(3(2(4(0(x1)))))) -> 4(1(0(3(0(3(3(3(2(3(x1)))))))))) 2(1(4(1(5(0(x1)))))) -> 2(4(4(3(4(3(3(2(3(2(x1)))))))))) 2(4(2(1(4(1(x1)))))) -> 0(0(3(0(0(3(3(0(2(2(x1)))))))))) 2(5(3(1(5(4(x1)))))) -> 2(2(3(3(3(5(2(2(2(1(x1)))))))))) 3(0(0(2(3(1(x1)))))) -> 3(5(5(1(3(3(2(2(0(1(x1)))))))))) 3(1(1(0(1(0(x1)))))) -> 3(0(3(4(0(4(1(5(1(3(x1)))))))))) 5(3(2(1(0(0(x1)))))) -> 3(3(3(4(4(0(3(0(3(5(x1)))))))))) 5(3(5(3(2(5(x1)))))) -> 3(3(3(4(4(3(3(5(0(5(x1)))))))))) 0(0(1(0(1(2(3(x1))))))) -> 0(3(3(3(5(0(3(4(3(0(x1)))))))))) 0(1(1(4(1(4(0(x1))))))) -> 0(4(4(3(2(5(2(3(3(3(x1)))))))))) 0(2(4(1(5(2(4(x1))))))) -> 4(2(5(4(1(3(2(3(3(3(x1)))))))))) 1(2(3(1(5(3(2(x1))))))) -> 1(3(0(2(5(3(3(4(5(5(x1)))))))))) 1(4(4(5(3(2(5(x1))))))) -> 4(3(4(4(3(3(3(4(2(5(x1)))))))))) 1(5(0(2(3(1(0(x1))))))) -> 5(2(3(0(3(3(2(3(3(0(x1)))))))))) 1(5(3(1(1(5(3(x1))))))) -> 4(5(4(2(5(3(2(3(3(4(x1)))))))))) 1(5(4(2(4(4(0(x1))))))) -> 1(5(1(0(2(0(4(3(3(0(x1)))))))))) 2(0(3(1(5(1(3(x1))))))) -> 5(5(0(3(4(0(4(4(3(3(x1)))))))))) 2(1(0(1(0(2(4(x1))))))) -> 2(5(4(5(5(0(4(3(3(2(x1)))))))))) 2(1(4(1(2(0(0(x1))))))) -> 1(3(2(3(3(4(0(4(0(3(x1)))))))))) 2(1(4(4(4(4(1(x1))))))) -> 1(4(2(0(3(5(3(3(4(1(x1)))))))))) 2(3(1(3(1(4(1(x1))))))) -> 2(2(5(3(0(2(3(3(3(1(x1)))))))))) 2(3(1(4(5(0(1(x1))))))) -> 0(0(4(3(3(5(3(1(1(1(x1)))))))))) 2(4(1(3(1(5(5(x1))))))) -> 4(5(5(3(3(0(0(4(3(3(x1)))))))))) 2(4(4(4(4(1(0(x1))))))) -> 0(2(5(0(5(0(5(0(3(3(x1)))))))))) 3(1(0(2(1(4(4(x1))))))) -> 3(2(0(4(3(3(1(1(4(2(x1)))))))))) 3(1(0(3(0(4(3(x1))))))) -> 3(4(0(5(3(3(3(5(0(3(x1)))))))))) 3(1(4(1(0(1(0(x1))))))) -> 3(0(4(0(5(3(3(4(0(5(x1)))))))))) 3(1(4(2(1(5(3(x1))))))) -> 3(1(0(3(3(4(0(3(3(0(x1)))))))))) 3(1(5(3(0(5(0(x1))))))) -> 3(2(2(1(4(3(3(5(1(4(x1)))))))))) 3(1(5(3(1(2(4(x1))))))) -> 3(3(1(1(0(1(2(1(2(4(x1)))))))))) 3(1(5(4(4(3(2(x1))))))) -> 3(2(5(1(0(4(3(3(4(4(x1)))))))))) 3(2(2(1(4(1(0(x1))))))) -> 3(1(2(0(3(3(3(5(5(0(x1)))))))))) 4(0(2(4(4(3(2(x1))))))) -> 4(5(2(1(2(3(3(5(1(3(x1)))))))))) 4(0(5(5(3(1(1(x1))))))) -> 3(3(3(1(0(1(1(1(2(1(x1)))))))))) 4(2(4(3(1(1(0(x1))))))) -> 4(1(0(4(4(0(5(4(3(3(x1)))))))))) 4(5(5(0(2(4(0(x1))))))) -> 3(3(3(0(0(3(4(2(4(0(x1)))))))))) 5(1(3(1(4(4(1(x1))))))) -> 0(4(4(5(2(3(3(3(5(1(x1)))))))))) 5(1(5(3(1(1(0(x1))))))) -> 3(1(3(4(3(3(2(2(1(3(x1)))))))))) 5(2(0(0(2(2(4(x1))))))) -> 3(3(3(5(1(3(4(0(2(4(x1)))))))))) 5(3(1(1(5(5(4(x1))))))) -> 5(3(3(3(1(5(5(4(5(1(x1)))))))))) 5(3(5(4(1(3(1(x1))))))) -> 0(3(3(4(3(5(1(2(3(1(x1)))))))))) 5(5(1(0(1(1(0(x1))))))) -> 2(5(5(4(5(1(2(2(3(3(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_5(x_1)) -> 5(encArg(x_1)) encArg(cons_1(x_1)) -> 1(encArg(x_1)) encArg(cons_2(x_1)) -> 2(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(0(x1))) -> 2(2(2(3(3(4(0(0(3(3(x1)))))))))) 4(1(0(x1))) -> 0(3(4(3(3(3(4(3(0(3(x1)))))))))) 3(0(1(4(x1)))) -> 3(2(5(0(3(4(3(4(3(3(x1)))))))))) 5(3(1(4(x1)))) -> 0(3(3(3(4(4(3(3(3(0(x1)))))))))) 0(1(3(5(2(3(x1)))))) -> 0(1(3(3(2(3(3(0(5(4(x1)))))))))) 0(1(4(2(4(5(x1)))))) -> 0(0(2(0(5(0(3(3(3(1(x1)))))))))) 1(0(0(4(1(4(x1)))))) -> 1(4(1(1(0(3(4(3(3(3(x1)))))))))) 1(5(3(1(1(0(x1)))))) -> 1(0(3(3(2(0(5(4(3(3(x1)))))))))) 1(5(3(2(4(0(x1)))))) -> 4(1(0(3(0(3(3(3(2(3(x1)))))))))) 2(1(4(1(5(0(x1)))))) -> 2(4(4(3(4(3(3(2(3(2(x1)))))))))) 2(4(2(1(4(1(x1)))))) -> 0(0(3(0(0(3(3(0(2(2(x1)))))))))) 2(5(3(1(5(4(x1)))))) -> 2(2(3(3(3(5(2(2(2(1(x1)))))))))) 3(0(0(2(3(1(x1)))))) -> 3(5(5(1(3(3(2(2(0(1(x1)))))))))) 3(1(1(0(1(0(x1)))))) -> 3(0(3(4(0(4(1(5(1(3(x1)))))))))) 5(3(2(1(0(0(x1)))))) -> 3(3(3(4(4(0(3(0(3(5(x1)))))))))) 5(3(5(3(2(5(x1)))))) -> 3(3(3(4(4(3(3(5(0(5(x1)))))))))) 0(0(1(0(1(2(3(x1))))))) -> 0(3(3(3(5(0(3(4(3(0(x1)))))))))) 0(1(1(4(1(4(0(x1))))))) -> 0(4(4(3(2(5(2(3(3(3(x1)))))))))) 0(2(4(1(5(2(4(x1))))))) -> 4(2(5(4(1(3(2(3(3(3(x1)))))))))) 1(2(3(1(5(3(2(x1))))))) -> 1(3(0(2(5(3(3(4(5(5(x1)))))))))) 1(4(4(5(3(2(5(x1))))))) -> 4(3(4(4(3(3(3(4(2(5(x1)))))))))) 1(5(0(2(3(1(0(x1))))))) -> 5(2(3(0(3(3(2(3(3(0(x1)))))))))) 1(5(3(1(1(5(3(x1))))))) -> 4(5(4(2(5(3(2(3(3(4(x1)))))))))) 1(5(4(2(4(4(0(x1))))))) -> 1(5(1(0(2(0(4(3(3(0(x1)))))))))) 2(0(3(1(5(1(3(x1))))))) -> 5(5(0(3(4(0(4(4(3(3(x1)))))))))) 2(1(0(1(0(2(4(x1))))))) -> 2(5(4(5(5(0(4(3(3(2(x1)))))))))) 2(1(4(1(2(0(0(x1))))))) -> 1(3(2(3(3(4(0(4(0(3(x1)))))))))) 2(1(4(4(4(4(1(x1))))))) -> 1(4(2(0(3(5(3(3(4(1(x1)))))))))) 2(3(1(3(1(4(1(x1))))))) -> 2(2(5(3(0(2(3(3(3(1(x1)))))))))) 2(3(1(4(5(0(1(x1))))))) -> 0(0(4(3(3(5(3(1(1(1(x1)))))))))) 2(4(1(3(1(5(5(x1))))))) -> 4(5(5(3(3(0(0(4(3(3(x1)))))))))) 2(4(4(4(4(1(0(x1))))))) -> 0(2(5(0(5(0(5(0(3(3(x1)))))))))) 3(1(0(2(1(4(4(x1))))))) -> 3(2(0(4(3(3(1(1(4(2(x1)))))))))) 3(1(0(3(0(4(3(x1))))))) -> 3(4(0(5(3(3(3(5(0(3(x1)))))))))) 3(1(4(1(0(1(0(x1))))))) -> 3(0(4(0(5(3(3(4(0(5(x1)))))))))) 3(1(4(2(1(5(3(x1))))))) -> 3(1(0(3(3(4(0(3(3(0(x1)))))))))) 3(1(5(3(0(5(0(x1))))))) -> 3(2(2(1(4(3(3(5(1(4(x1)))))))))) 3(1(5(3(1(2(4(x1))))))) -> 3(3(1(1(0(1(2(1(2(4(x1)))))))))) 3(1(5(4(4(3(2(x1))))))) -> 3(2(5(1(0(4(3(3(4(4(x1)))))))))) 3(2(2(1(4(1(0(x1))))))) -> 3(1(2(0(3(3(3(5(5(0(x1)))))))))) 4(0(2(4(4(3(2(x1))))))) -> 4(5(2(1(2(3(3(5(1(3(x1)))))))))) 4(0(5(5(3(1(1(x1))))))) -> 3(3(3(1(0(1(1(1(2(1(x1)))))))))) 4(2(4(3(1(1(0(x1))))))) -> 4(1(0(4(4(0(5(4(3(3(x1)))))))))) 4(5(5(0(2(4(0(x1))))))) -> 3(3(3(0(0(3(4(2(4(0(x1)))))))))) 5(1(3(1(4(4(1(x1))))))) -> 0(4(4(5(2(3(3(3(5(1(x1)))))))))) 5(1(5(3(1(1(0(x1))))))) -> 3(1(3(4(3(3(2(2(1(3(x1)))))))))) 5(2(0(0(2(2(4(x1))))))) -> 3(3(3(5(1(3(4(0(2(4(x1)))))))))) 5(3(1(1(5(5(4(x1))))))) -> 5(3(3(3(1(5(5(4(5(1(x1)))))))))) 5(3(5(4(1(3(1(x1))))))) -> 0(3(3(4(3(5(1(2(3(1(x1)))))))))) 5(5(1(0(1(1(0(x1))))))) -> 2(5(5(4(5(1(2(2(3(3(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_5(x_1)) -> 5(encArg(x_1)) encArg(cons_1(x_1)) -> 1(encArg(x_1)) encArg(cons_2(x_1)) -> 2(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(0(x1))) -> 2(2(2(3(3(4(0(0(3(3(x1)))))))))) 4(1(0(x1))) -> 0(3(4(3(3(3(4(3(0(3(x1)))))))))) 3(0(1(4(x1)))) -> 3(2(5(0(3(4(3(4(3(3(x1)))))))))) 5(3(1(4(x1)))) -> 0(3(3(3(4(4(3(3(3(0(x1)))))))))) 0(1(3(5(2(3(x1)))))) -> 0(1(3(3(2(3(3(0(5(4(x1)))))))))) 0(1(4(2(4(5(x1)))))) -> 0(0(2(0(5(0(3(3(3(1(x1)))))))))) 1(0(0(4(1(4(x1)))))) -> 1(4(1(1(0(3(4(3(3(3(x1)))))))))) 1(5(3(1(1(0(x1)))))) -> 1(0(3(3(2(0(5(4(3(3(x1)))))))))) 1(5(3(2(4(0(x1)))))) -> 4(1(0(3(0(3(3(3(2(3(x1)))))))))) 2(1(4(1(5(0(x1)))))) -> 2(4(4(3(4(3(3(2(3(2(x1)))))))))) 2(4(2(1(4(1(x1)))))) -> 0(0(3(0(0(3(3(0(2(2(x1)))))))))) 2(5(3(1(5(4(x1)))))) -> 2(2(3(3(3(5(2(2(2(1(x1)))))))))) 3(0(0(2(3(1(x1)))))) -> 3(5(5(1(3(3(2(2(0(1(x1)))))))))) 3(1(1(0(1(0(x1)))))) -> 3(0(3(4(0(4(1(5(1(3(x1)))))))))) 5(3(2(1(0(0(x1)))))) -> 3(3(3(4(4(0(3(0(3(5(x1)))))))))) 5(3(5(3(2(5(x1)))))) -> 3(3(3(4(4(3(3(5(0(5(x1)))))))))) 0(0(1(0(1(2(3(x1))))))) -> 0(3(3(3(5(0(3(4(3(0(x1)))))))))) 0(1(1(4(1(4(0(x1))))))) -> 0(4(4(3(2(5(2(3(3(3(x1)))))))))) 0(2(4(1(5(2(4(x1))))))) -> 4(2(5(4(1(3(2(3(3(3(x1)))))))))) 1(2(3(1(5(3(2(x1))))))) -> 1(3(0(2(5(3(3(4(5(5(x1)))))))))) 1(4(4(5(3(2(5(x1))))))) -> 4(3(4(4(3(3(3(4(2(5(x1)))))))))) 1(5(0(2(3(1(0(x1))))))) -> 5(2(3(0(3(3(2(3(3(0(x1)))))))))) 1(5(3(1(1(5(3(x1))))))) -> 4(5(4(2(5(3(2(3(3(4(x1)))))))))) 1(5(4(2(4(4(0(x1))))))) -> 1(5(1(0(2(0(4(3(3(0(x1)))))))))) 2(0(3(1(5(1(3(x1))))))) -> 5(5(0(3(4(0(4(4(3(3(x1)))))))))) 2(1(0(1(0(2(4(x1))))))) -> 2(5(4(5(5(0(4(3(3(2(x1)))))))))) 2(1(4(1(2(0(0(x1))))))) -> 1(3(2(3(3(4(0(4(0(3(x1)))))))))) 2(1(4(4(4(4(1(x1))))))) -> 1(4(2(0(3(5(3(3(4(1(x1)))))))))) 2(3(1(3(1(4(1(x1))))))) -> 2(2(5(3(0(2(3(3(3(1(x1)))))))))) 2(3(1(4(5(0(1(x1))))))) -> 0(0(4(3(3(5(3(1(1(1(x1)))))))))) 2(4(1(3(1(5(5(x1))))))) -> 4(5(5(3(3(0(0(4(3(3(x1)))))))))) 2(4(4(4(4(1(0(x1))))))) -> 0(2(5(0(5(0(5(0(3(3(x1)))))))))) 3(1(0(2(1(4(4(x1))))))) -> 3(2(0(4(3(3(1(1(4(2(x1)))))))))) 3(1(0(3(0(4(3(x1))))))) -> 3(4(0(5(3(3(3(5(0(3(x1)))))))))) 3(1(4(1(0(1(0(x1))))))) -> 3(0(4(0(5(3(3(4(0(5(x1)))))))))) 3(1(4(2(1(5(3(x1))))))) -> 3(1(0(3(3(4(0(3(3(0(x1)))))))))) 3(1(5(3(0(5(0(x1))))))) -> 3(2(2(1(4(3(3(5(1(4(x1)))))))))) 3(1(5(3(1(2(4(x1))))))) -> 3(3(1(1(0(1(2(1(2(4(x1)))))))))) 3(1(5(4(4(3(2(x1))))))) -> 3(2(5(1(0(4(3(3(4(4(x1)))))))))) 3(2(2(1(4(1(0(x1))))))) -> 3(1(2(0(3(3(3(5(5(0(x1)))))))))) 4(0(2(4(4(3(2(x1))))))) -> 4(5(2(1(2(3(3(5(1(3(x1)))))))))) 4(0(5(5(3(1(1(x1))))))) -> 3(3(3(1(0(1(1(1(2(1(x1)))))))))) 4(2(4(3(1(1(0(x1))))))) -> 4(1(0(4(4(0(5(4(3(3(x1)))))))))) 4(5(5(0(2(4(0(x1))))))) -> 3(3(3(0(0(3(4(2(4(0(x1)))))))))) 5(1(3(1(4(4(1(x1))))))) -> 0(4(4(5(2(3(3(3(5(1(x1)))))))))) 5(1(5(3(1(1(0(x1))))))) -> 3(1(3(4(3(3(2(2(1(3(x1)))))))))) 5(2(0(0(2(2(4(x1))))))) -> 3(3(3(5(1(3(4(0(2(4(x1)))))))))) 5(3(1(1(5(5(4(x1))))))) -> 5(3(3(3(1(5(5(4(5(1(x1)))))))))) 5(3(5(4(1(3(1(x1))))))) -> 0(3(3(4(3(5(1(2(3(1(x1)))))))))) 5(5(1(0(1(1(0(x1))))))) -> 2(5(5(4(5(1(2(2(3(3(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_5(x_1)) -> 5(encArg(x_1)) encArg(cons_1(x_1)) -> 1(encArg(x_1)) encArg(cons_2(x_1)) -> 2(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(0(x1))) -> 2(2(2(3(3(4(0(0(3(3(x1)))))))))) 4(1(0(x1))) -> 0(3(4(3(3(3(4(3(0(3(x1)))))))))) 3(0(1(4(x1)))) -> 3(2(5(0(3(4(3(4(3(3(x1)))))))))) 5(3(1(4(x1)))) -> 0(3(3(3(4(4(3(3(3(0(x1)))))))))) 0(1(3(5(2(3(x1)))))) -> 0(1(3(3(2(3(3(0(5(4(x1)))))))))) 0(1(4(2(4(5(x1)))))) -> 0(0(2(0(5(0(3(3(3(1(x1)))))))))) 1(0(0(4(1(4(x1)))))) -> 1(4(1(1(0(3(4(3(3(3(x1)))))))))) 1(5(3(1(1(0(x1)))))) -> 1(0(3(3(2(0(5(4(3(3(x1)))))))))) 1(5(3(2(4(0(x1)))))) -> 4(1(0(3(0(3(3(3(2(3(x1)))))))))) 2(1(4(1(5(0(x1)))))) -> 2(4(4(3(4(3(3(2(3(2(x1)))))))))) 2(4(2(1(4(1(x1)))))) -> 0(0(3(0(0(3(3(0(2(2(x1)))))))))) 2(5(3(1(5(4(x1)))))) -> 2(2(3(3(3(5(2(2(2(1(x1)))))))))) 3(0(0(2(3(1(x1)))))) -> 3(5(5(1(3(3(2(2(0(1(x1)))))))))) 3(1(1(0(1(0(x1)))))) -> 3(0(3(4(0(4(1(5(1(3(x1)))))))))) 5(3(2(1(0(0(x1)))))) -> 3(3(3(4(4(0(3(0(3(5(x1)))))))))) 5(3(5(3(2(5(x1)))))) -> 3(3(3(4(4(3(3(5(0(5(x1)))))))))) 0(0(1(0(1(2(3(x1))))))) -> 0(3(3(3(5(0(3(4(3(0(x1)))))))))) 0(1(1(4(1(4(0(x1))))))) -> 0(4(4(3(2(5(2(3(3(3(x1)))))))))) 0(2(4(1(5(2(4(x1))))))) -> 4(2(5(4(1(3(2(3(3(3(x1)))))))))) 1(2(3(1(5(3(2(x1))))))) -> 1(3(0(2(5(3(3(4(5(5(x1)))))))))) 1(4(4(5(3(2(5(x1))))))) -> 4(3(4(4(3(3(3(4(2(5(x1)))))))))) 1(5(0(2(3(1(0(x1))))))) -> 5(2(3(0(3(3(2(3(3(0(x1)))))))))) 1(5(3(1(1(5(3(x1))))))) -> 4(5(4(2(5(3(2(3(3(4(x1)))))))))) 1(5(4(2(4(4(0(x1))))))) -> 1(5(1(0(2(0(4(3(3(0(x1)))))))))) 2(0(3(1(5(1(3(x1))))))) -> 5(5(0(3(4(0(4(4(3(3(x1)))))))))) 2(1(0(1(0(2(4(x1))))))) -> 2(5(4(5(5(0(4(3(3(2(x1)))))))))) 2(1(4(1(2(0(0(x1))))))) -> 1(3(2(3(3(4(0(4(0(3(x1)))))))))) 2(1(4(4(4(4(1(x1))))))) -> 1(4(2(0(3(5(3(3(4(1(x1)))))))))) 2(3(1(3(1(4(1(x1))))))) -> 2(2(5(3(0(2(3(3(3(1(x1)))))))))) 2(3(1(4(5(0(1(x1))))))) -> 0(0(4(3(3(5(3(1(1(1(x1)))))))))) 2(4(1(3(1(5(5(x1))))))) -> 4(5(5(3(3(0(0(4(3(3(x1)))))))))) 2(4(4(4(4(1(0(x1))))))) -> 0(2(5(0(5(0(5(0(3(3(x1)))))))))) 3(1(0(2(1(4(4(x1))))))) -> 3(2(0(4(3(3(1(1(4(2(x1)))))))))) 3(1(0(3(0(4(3(x1))))))) -> 3(4(0(5(3(3(3(5(0(3(x1)))))))))) 3(1(4(1(0(1(0(x1))))))) -> 3(0(4(0(5(3(3(4(0(5(x1)))))))))) 3(1(4(2(1(5(3(x1))))))) -> 3(1(0(3(3(4(0(3(3(0(x1)))))))))) 3(1(5(3(0(5(0(x1))))))) -> 3(2(2(1(4(3(3(5(1(4(x1)))))))))) 3(1(5(3(1(2(4(x1))))))) -> 3(3(1(1(0(1(2(1(2(4(x1)))))))))) 3(1(5(4(4(3(2(x1))))))) -> 3(2(5(1(0(4(3(3(4(4(x1)))))))))) 3(2(2(1(4(1(0(x1))))))) -> 3(1(2(0(3(3(3(5(5(0(x1)))))))))) 4(0(2(4(4(3(2(x1))))))) -> 4(5(2(1(2(3(3(5(1(3(x1)))))))))) 4(0(5(5(3(1(1(x1))))))) -> 3(3(3(1(0(1(1(1(2(1(x1)))))))))) 4(2(4(3(1(1(0(x1))))))) -> 4(1(0(4(4(0(5(4(3(3(x1)))))))))) 4(5(5(0(2(4(0(x1))))))) -> 3(3(3(0(0(3(4(2(4(0(x1)))))))))) 5(1(3(1(4(4(1(x1))))))) -> 0(4(4(5(2(3(3(3(5(1(x1)))))))))) 5(1(5(3(1(1(0(x1))))))) -> 3(1(3(4(3(3(2(2(1(3(x1)))))))))) 5(2(0(0(2(2(4(x1))))))) -> 3(3(3(5(1(3(4(0(2(4(x1)))))))))) 5(3(1(1(5(5(4(x1))))))) -> 5(3(3(3(1(5(5(4(5(1(x1)))))))))) 5(3(5(4(1(3(1(x1))))))) -> 0(3(3(4(3(5(1(2(3(1(x1)))))))))) 5(5(1(0(1(1(0(x1))))))) -> 2(5(5(4(5(1(2(2(3(3(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_5(x_1)) -> 5(encArg(x_1)) encArg(cons_1(x_1)) -> 1(encArg(x_1)) encArg(cons_2(x_1)) -> 2(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. "[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] {(148,149,[0_1|0, 4_1|0, 3_1|0, 5_1|0, 1_1|0, 2_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]), (148,150,[0_1|1, 4_1|1, 3_1|1, 5_1|1, 1_1|1, 2_1|1]), (148,151,[2_1|2]), (148,160,[0_1|2]), (148,169,[0_1|2]), (148,178,[0_1|2]), (148,187,[0_1|2]), (148,196,[4_1|2]), (148,205,[0_1|2]), (148,214,[4_1|2]), (148,223,[3_1|2]), (148,232,[4_1|2]), (148,241,[3_1|2]), (148,250,[3_1|2]), (148,259,[3_1|2]), (148,268,[3_1|2]), (148,277,[3_1|2]), (148,286,[3_1|2]), (148,295,[3_1|2]), (148,304,[3_1|2]), (148,313,[3_1|2]), (148,322,[3_1|2]), (148,331,[3_1|2]), (148,340,[3_1|2]), (148,349,[0_1|2]), (148,358,[5_1|2]), (148,367,[3_1|2]), (148,376,[3_1|2]), (148,385,[0_1|2]), (148,394,[0_1|2]), (148,403,[3_1|2]), (148,412,[3_1|2]), (148,421,[2_1|2]), (148,430,[1_1|2]), (148,439,[1_1|2]), (148,448,[4_1|2]), (148,457,[4_1|2]), (148,466,[5_1|2]), (148,475,[1_1|2]), (148,484,[1_1|2]), (148,493,[4_1|2]), (148,502,[2_1|2]), (148,511,[1_1|2]), (148,520,[1_1|2]), (148,529,[2_1|2]), (148,538,[0_1|2]), (148,547,[4_1|2]), (148,556,[0_1|2]), (148,565,[2_1|2]), (148,574,[5_1|2]), (148,583,[2_1|2]), (148,592,[0_1|2]), (148,601,[0_1|3]), (149,149,[cons_0_1|0, cons_4_1|0, cons_3_1|0, cons_5_1|0, cons_1_1|0, cons_2_1|0]), (150,149,[encArg_1|1]), (150,150,[0_1|1, 4_1|1, 3_1|1, 5_1|1, 1_1|1, 2_1|1]), (150,151,[2_1|2]), (150,160,[0_1|2]), (150,169,[0_1|2]), (150,178,[0_1|2]), (150,187,[0_1|2]), (150,196,[4_1|2]), (150,205,[0_1|2]), (150,214,[4_1|2]), (150,223,[3_1|2]), (150,232,[4_1|2]), (150,241,[3_1|2]), (150,250,[3_1|2]), (150,259,[3_1|2]), (150,268,[3_1|2]), (150,277,[3_1|2]), (150,286,[3_1|2]), (150,295,[3_1|2]), (150,304,[3_1|2]), (150,313,[3_1|2]), (150,322,[3_1|2]), (150,331,[3_1|2]), (150,340,[3_1|2]), (150,349,[0_1|2]), (150,358,[5_1|2]), (150,367,[3_1|2]), (150,376,[3_1|2]), (150,385,[0_1|2]), (150,394,[0_1|2]), (150,403,[3_1|2]), (150,412,[3_1|2]), (150,421,[2_1|2]), (150,430,[1_1|2]), (150,439,[1_1|2]), (150,448,[4_1|2]), (150,457,[4_1|2]), (150,466,[5_1|2]), (150,475,[1_1|2]), (150,484,[1_1|2]), (150,493,[4_1|2]), (150,502,[2_1|2]), (150,511,[1_1|2]), (150,520,[1_1|2]), (150,529,[2_1|2]), (150,538,[0_1|2]), (150,547,[4_1|2]), (150,556,[0_1|2]), (150,565,[2_1|2]), (150,574,[5_1|2]), (150,583,[2_1|2]), (150,592,[0_1|2]), (150,601,[0_1|3]), (151,152,[2_1|2]), (152,153,[2_1|2]), (153,154,[3_1|2]), (154,155,[3_1|2]), (155,156,[4_1|2]), (156,157,[0_1|2]), (157,158,[0_1|2]), (158,159,[3_1|2]), (159,150,[3_1|2]), (159,160,[3_1|2]), (159,169,[3_1|2]), (159,178,[3_1|2]), (159,187,[3_1|2]), (159,205,[3_1|2]), (159,349,[3_1|2]), (159,385,[3_1|2]), (159,394,[3_1|2]), (159,538,[3_1|2]), (159,556,[3_1|2]), (159,592,[3_1|2]), (159,440,[3_1|2]), (159,250,[3_1|2]), (159,259,[3_1|2]), (159,268,[3_1|2]), (159,277,[3_1|2]), (159,286,[3_1|2]), (159,295,[3_1|2]), (159,304,[3_1|2]), (159,313,[3_1|2]), (159,322,[3_1|2]), (159,331,[3_1|2]), (159,340,[3_1|2]), (159,601,[3_1|2]), (160,161,[1_1|2]), (161,162,[3_1|2]), (162,163,[3_1|2]), (163,164,[2_1|2]), (164,165,[3_1|2]), (165,166,[3_1|2]), (166,167,[0_1|2]), (167,168,[5_1|2]), (168,150,[4_1|2]), (168,223,[4_1|2, 3_1|2]), (168,241,[4_1|2, 3_1|2]), (168,250,[4_1|2]), (168,259,[4_1|2]), (168,268,[4_1|2]), (168,277,[4_1|2]), (168,286,[4_1|2]), (168,295,[4_1|2]), (168,304,[4_1|2]), (168,313,[4_1|2]), (168,322,[4_1|2]), (168,331,[4_1|2]), (168,340,[4_1|2]), (168,367,[4_1|2]), (168,376,[4_1|2]), (168,403,[4_1|2]), (168,412,[4_1|2]), (168,468,[4_1|2]), (168,205,[0_1|2]), (168,214,[4_1|2]), (168,232,[4_1|2]), (168,610,[0_1|3]), (169,170,[0_1|2]), (170,171,[2_1|2]), (171,172,[0_1|2]), (172,173,[5_1|2]), (173,174,[0_1|2]), (174,175,[3_1|2]), (175,176,[3_1|2]), (176,177,[3_1|2]), (176,268,[3_1|2]), (176,277,[3_1|2]), (176,286,[3_1|2]), (176,295,[3_1|2]), (176,304,[3_1|2]), (176,313,[3_1|2]), (176,322,[3_1|2]), (176,331,[3_1|2]), (177,150,[1_1|2]), (177,358,[1_1|2]), (177,466,[1_1|2, 5_1|2]), (177,574,[1_1|2]), (177,215,[1_1|2]), (177,449,[1_1|2]), (177,548,[1_1|2]), (177,430,[1_1|2]), (177,439,[1_1|2]), (177,448,[4_1|2]), (177,457,[4_1|2]), (177,475,[1_1|2]), (177,484,[1_1|2]), (177,493,[4_1|2]), (177,601,[0_1|3]), (178,179,[4_1|2]), (179,180,[4_1|2]), (180,181,[3_1|2]), (181,182,[2_1|2]), (182,183,[5_1|2]), (183,184,[2_1|2]), (184,185,[3_1|2]), (185,186,[3_1|2]), (186,150,[3_1|2]), (186,160,[3_1|2]), (186,169,[3_1|2]), (186,178,[3_1|2]), (186,187,[3_1|2]), (186,205,[3_1|2]), (186,349,[3_1|2]), (186,385,[3_1|2]), (186,394,[3_1|2]), (186,538,[3_1|2]), (186,556,[3_1|2]), (186,592,[3_1|2]), (186,250,[3_1|2]), (186,259,[3_1|2]), (186,268,[3_1|2]), (186,277,[3_1|2]), (186,286,[3_1|2]), (186,295,[3_1|2]), (186,304,[3_1|2]), (186,313,[3_1|2]), (186,322,[3_1|2]), (186,331,[3_1|2]), (186,340,[3_1|2]), (186,601,[3_1|2]), (187,188,[3_1|2]), (188,189,[3_1|2]), (189,190,[3_1|2]), (190,191,[5_1|2]), (191,192,[0_1|2]), (192,193,[3_1|2]), (193,194,[4_1|2]), (194,195,[3_1|2]), (194,250,[3_1|2]), (194,259,[3_1|2]), (194,619,[3_1|3]), (195,150,[0_1|2]), (195,223,[0_1|2]), (195,241,[0_1|2]), (195,250,[0_1|2]), (195,259,[0_1|2]), (195,268,[0_1|2]), (195,277,[0_1|2]), (195,286,[0_1|2]), (195,295,[0_1|2]), (195,304,[0_1|2]), (195,313,[0_1|2]), (195,322,[0_1|2]), (195,331,[0_1|2]), (195,340,[0_1|2]), (195,367,[0_1|2]), (195,376,[0_1|2]), (195,403,[0_1|2]), (195,412,[0_1|2]), (195,151,[2_1|2]), (195,160,[0_1|2]), (195,169,[0_1|2]), (195,178,[0_1|2]), (195,187,[0_1|2]), (195,196,[4_1|2]), (195,628,[2_1|3]), (196,197,[2_1|2]), (197,198,[5_1|2]), (198,199,[4_1|2]), (199,200,[1_1|2]), (200,201,[3_1|2]), (201,202,[2_1|2]), (202,203,[3_1|2]), (203,204,[3_1|2]), (204,150,[3_1|2]), (204,196,[3_1|2]), (204,214,[3_1|2]), (204,232,[3_1|2]), (204,448,[3_1|2]), (204,457,[3_1|2]), (204,493,[3_1|2]), (204,547,[3_1|2]), (204,503,[3_1|2]), (204,250,[3_1|2]), (204,259,[3_1|2]), (204,268,[3_1|2]), (204,277,[3_1|2]), (204,286,[3_1|2]), (204,295,[3_1|2]), (204,304,[3_1|2]), (204,313,[3_1|2]), (204,322,[3_1|2]), (204,331,[3_1|2]), (204,340,[3_1|2]), (205,206,[3_1|2]), (206,207,[4_1|2]), (207,208,[3_1|2]), (208,209,[3_1|2]), (209,210,[3_1|2]), (210,211,[4_1|2]), (211,212,[3_1|2]), (212,213,[0_1|2]), (213,150,[3_1|2]), (213,160,[3_1|2]), (213,169,[3_1|2]), (213,178,[3_1|2]), (213,187,[3_1|2]), (213,205,[3_1|2]), (213,349,[3_1|2]), (213,385,[3_1|2]), (213,394,[3_1|2]), (213,538,[3_1|2]), (213,556,[3_1|2]), (213,592,[3_1|2]), (213,440,[3_1|2]), (213,250,[3_1|2]), (213,259,[3_1|2]), (213,268,[3_1|2]), (213,277,[3_1|2]), (213,286,[3_1|2]), (213,295,[3_1|2]), (213,304,[3_1|2]), (213,313,[3_1|2]), (213,322,[3_1|2]), (213,331,[3_1|2]), (213,340,[3_1|2]), (213,601,[3_1|2]), (214,215,[5_1|2]), (215,216,[2_1|2]), (216,217,[1_1|2]), (217,218,[2_1|2]), (218,219,[3_1|2]), (219,220,[3_1|2]), (220,221,[5_1|2]), (220,394,[0_1|2]), (221,222,[1_1|2]), (222,150,[3_1|2]), (222,151,[3_1|2]), (222,421,[3_1|2]), (222,502,[3_1|2]), (222,529,[3_1|2]), (222,565,[3_1|2]), (222,583,[3_1|2]), (222,251,[3_1|2]), (222,278,[3_1|2]), (222,314,[3_1|2]), (222,332,[3_1|2]), (222,250,[3_1|2]), (222,259,[3_1|2]), (222,268,[3_1|2]), (222,277,[3_1|2]), (222,286,[3_1|2]), (222,295,[3_1|2]), (222,304,[3_1|2]), (222,313,[3_1|2]), (222,322,[3_1|2]), (222,331,[3_1|2]), (222,340,[3_1|2]), (223,224,[3_1|2]), (224,225,[3_1|2]), (225,226,[1_1|2]), (226,227,[0_1|2]), (227,228,[1_1|2]), (228,229,[1_1|2]), (229,230,[1_1|2]), (230,231,[2_1|2]), (230,502,[2_1|2]), (230,511,[1_1|2]), (230,520,[1_1|2]), (230,529,[2_1|2]), (231,150,[1_1|2]), (231,430,[1_1|2]), (231,439,[1_1|2]), (231,475,[1_1|2]), (231,484,[1_1|2]), (231,511,[1_1|2]), (231,520,[1_1|2]), (231,448,[4_1|2]), (231,457,[4_1|2]), (231,466,[5_1|2]), (231,493,[4_1|2]), (231,601,[0_1|3]), (232,233,[1_1|2]), (233,234,[0_1|2]), (234,235,[4_1|2]), (235,236,[4_1|2]), (236,237,[0_1|2]), (237,238,[5_1|2]), (238,239,[4_1|2]), (239,240,[3_1|2]), (240,150,[3_1|2]), (240,160,[3_1|2]), (240,169,[3_1|2]), (240,178,[3_1|2]), (240,187,[3_1|2]), (240,205,[3_1|2]), (240,349,[3_1|2]), (240,385,[3_1|2]), (240,394,[3_1|2]), (240,538,[3_1|2]), (240,556,[3_1|2]), (240,592,[3_1|2]), (240,440,[3_1|2]), (240,250,[3_1|2]), (240,259,[3_1|2]), (240,268,[3_1|2]), (240,277,[3_1|2]), (240,286,[3_1|2]), (240,295,[3_1|2]), (240,304,[3_1|2]), (240,313,[3_1|2]), (240,322,[3_1|2]), (240,331,[3_1|2]), (240,340,[3_1|2]), (240,601,[3_1|2]), (241,242,[3_1|2]), (242,243,[3_1|2]), (243,244,[0_1|2]), (244,245,[0_1|2]), (245,246,[3_1|2]), (246,247,[4_1|2]), (247,248,[2_1|2]), (248,249,[4_1|2]), (248,214,[4_1|2]), (248,223,[3_1|2]), (249,150,[0_1|2]), (249,160,[0_1|2]), (249,169,[0_1|2]), (249,178,[0_1|2]), (249,187,[0_1|2]), (249,205,[0_1|2]), (249,349,[0_1|2]), (249,385,[0_1|2]), (249,394,[0_1|2]), (249,538,[0_1|2]), (249,556,[0_1|2]), (249,592,[0_1|2]), (249,151,[2_1|2]), (249,196,[4_1|2]), (249,628,[2_1|3]), (249,601,[0_1|2]), (250,251,[2_1|2]), (251,252,[5_1|2]), (252,253,[0_1|2]), (253,254,[3_1|2]), (254,255,[4_1|2]), (255,256,[3_1|2]), (256,257,[4_1|2]), (257,258,[3_1|2]), (258,150,[3_1|2]), (258,196,[3_1|2]), (258,214,[3_1|2]), (258,232,[3_1|2]), (258,448,[3_1|2]), (258,457,[3_1|2]), (258,493,[3_1|2]), (258,547,[3_1|2]), (258,431,[3_1|2]), (258,521,[3_1|2]), (258,250,[3_1|2]), (258,259,[3_1|2]), (258,268,[3_1|2]), (258,277,[3_1|2]), (258,286,[3_1|2]), (258,295,[3_1|2]), (258,304,[3_1|2]), (258,313,[3_1|2]), (258,322,[3_1|2]), (258,331,[3_1|2]), (258,340,[3_1|2]), (259,260,[5_1|2]), (260,261,[5_1|2]), (261,262,[1_1|2]), 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(486,487,[2_1|2]), (487,488,[5_1|2]), (488,489,[3_1|2]), (489,490,[3_1|2]), (490,491,[4_1|2]), (490,241,[3_1|2]), (491,492,[5_1|2]), (491,421,[2_1|2]), (492,150,[5_1|2]), (492,151,[5_1|2]), (492,421,[5_1|2, 2_1|2]), (492,502,[5_1|2]), (492,529,[5_1|2]), (492,565,[5_1|2]), (492,583,[5_1|2]), (492,251,[5_1|2]), (492,278,[5_1|2]), (492,314,[5_1|2]), (492,332,[5_1|2]), (492,349,[0_1|2]), (492,358,[5_1|2]), (492,367,[3_1|2]), (492,376,[3_1|2]), (492,385,[0_1|2]), (492,394,[0_1|2]), (492,403,[3_1|2]), (492,412,[3_1|2]), (493,494,[3_1|2]), (494,495,[4_1|2]), (495,496,[4_1|2]), (496,497,[3_1|2]), (497,498,[3_1|2]), (498,499,[3_1|2]), (499,500,[4_1|2]), (500,501,[2_1|2]), (500,565,[2_1|2]), (501,150,[5_1|2]), (501,358,[5_1|2]), (501,466,[5_1|2]), (501,574,[5_1|2]), (501,422,[5_1|2]), (501,530,[5_1|2]), (501,252,[5_1|2]), (501,333,[5_1|2]), (501,349,[0_1|2]), (501,367,[3_1|2]), (501,376,[3_1|2]), (501,385,[0_1|2]), (501,394,[0_1|2]), (501,403,[3_1|2]), (501,412,[3_1|2]), (501,421,[2_1|2]), (502,503,[4_1|2]), (503,504,[4_1|2]), (504,505,[3_1|2]), (505,506,[4_1|2]), (506,507,[3_1|2]), (507,508,[3_1|2]), (508,509,[2_1|2]), (509,510,[3_1|2]), (509,340,[3_1|2]), (510,150,[2_1|2]), (510,160,[2_1|2]), (510,169,[2_1|2]), (510,178,[2_1|2]), (510,187,[2_1|2]), (510,205,[2_1|2]), (510,349,[2_1|2]), (510,385,[2_1|2]), (510,394,[2_1|2]), (510,538,[2_1|2, 0_1|2]), (510,556,[2_1|2, 0_1|2]), (510,592,[2_1|2, 0_1|2]), (510,502,[2_1|2]), (510,511,[1_1|2]), (510,520,[1_1|2]), (510,529,[2_1|2]), (510,547,[4_1|2]), (510,565,[2_1|2]), (510,574,[5_1|2]), (510,583,[2_1|2]), (510,601,[2_1|2]), (511,512,[3_1|2]), (512,513,[2_1|2]), (513,514,[3_1|2]), (514,515,[3_1|2]), (515,516,[4_1|2]), (516,517,[0_1|2]), (517,518,[4_1|2]), (518,519,[0_1|2]), (519,150,[3_1|2]), (519,160,[3_1|2]), (519,169,[3_1|2]), (519,178,[3_1|2]), (519,187,[3_1|2]), (519,205,[3_1|2]), (519,349,[3_1|2]), (519,385,[3_1|2]), (519,394,[3_1|2]), (519,538,[3_1|2]), (519,556,[3_1|2]), (519,592,[3_1|2]), (519,170,[3_1|2]), (519,539,[3_1|2]), (519,593,[3_1|2]), (519,250,[3_1|2]), (519,259,[3_1|2]), (519,268,[3_1|2]), (519,277,[3_1|2]), (519,286,[3_1|2]), (519,295,[3_1|2]), (519,304,[3_1|2]), (519,313,[3_1|2]), (519,322,[3_1|2]), (519,331,[3_1|2]), (519,340,[3_1|2]), (519,601,[3_1|2]), (520,521,[4_1|2]), (521,522,[2_1|2]), (522,523,[0_1|2]), (523,524,[3_1|2]), (524,525,[5_1|2]), (525,526,[3_1|2]), (526,527,[3_1|2]), (527,528,[4_1|2]), (527,205,[0_1|2]), (527,646,[0_1|3]), (528,150,[1_1|2]), (528,430,[1_1|2]), (528,439,[1_1|2]), (528,475,[1_1|2]), (528,484,[1_1|2]), (528,511,[1_1|2]), (528,520,[1_1|2]), (528,233,[1_1|2]), (528,458,[1_1|2]), (528,448,[4_1|2]), (528,457,[4_1|2]), (528,466,[5_1|2]), (528,493,[4_1|2]), (528,601,[0_1|3]), (529,530,[5_1|2]), (530,531,[4_1|2]), (531,532,[5_1|2]), (532,533,[5_1|2]), (533,534,[0_1|2]), (534,535,[4_1|2]), (535,536,[3_1|2]), (536,537,[3_1|2]), (536,340,[3_1|2]), (537,150,[2_1|2]), (537,196,[2_1|2]), (537,214,[2_1|2]), (537,232,[2_1|2]), (537,448,[2_1|2]), (537,457,[2_1|2]), (537,493,[2_1|2]), (537,547,[2_1|2, 4_1|2]), (537,503,[2_1|2]), (537,502,[2_1|2]), (537,511,[1_1|2]), (537,520,[1_1|2]), (537,529,[2_1|2]), (537,538,[0_1|2]), (537,556,[0_1|2]), (537,565,[2_1|2]), (537,574,[5_1|2]), (537,583,[2_1|2]), (537,592,[0_1|2]), (538,539,[0_1|2]), (539,540,[3_1|2]), (540,541,[0_1|2]), (541,542,[0_1|2]), (542,543,[3_1|2]), (543,544,[3_1|2]), (544,545,[0_1|2]), (545,546,[2_1|2]), (546,150,[2_1|2]), (546,430,[2_1|2]), (546,439,[2_1|2]), (546,475,[2_1|2]), (546,484,[2_1|2]), (546,511,[2_1|2, 1_1|2]), (546,520,[2_1|2, 1_1|2]), (546,233,[2_1|2]), (546,458,[2_1|2]), (546,432,[2_1|2]), (546,502,[2_1|2]), (546,529,[2_1|2]), (546,538,[0_1|2]), (546,547,[4_1|2]), (546,556,[0_1|2]), (546,565,[2_1|2]), (546,574,[5_1|2]), (546,583,[2_1|2]), (546,592,[0_1|2]), (547,548,[5_1|2]), (548,549,[5_1|2]), (549,550,[3_1|2]), (550,551,[3_1|2]), (551,552,[0_1|2]), (552,553,[0_1|2]), (553,554,[4_1|2]), (554,555,[3_1|2]), (555,150,[3_1|2]), (555,358,[3_1|2]), (555,466,[3_1|2]), (555,574,[3_1|2]), (555,575,[3_1|2]), (555,250,[3_1|2]), (555,259,[3_1|2]), (555,268,[3_1|2]), (555,277,[3_1|2]), (555,286,[3_1|2]), (555,295,[3_1|2]), (555,304,[3_1|2]), (555,313,[3_1|2]), (555,322,[3_1|2]), (555,331,[3_1|2]), (555,340,[3_1|2]), (556,557,[2_1|2]), (557,558,[5_1|2]), (558,559,[0_1|2]), (559,560,[5_1|2]), (560,561,[0_1|2]), (561,562,[5_1|2]), (562,563,[0_1|2]), (563,564,[3_1|2]), (564,150,[3_1|2]), (564,160,[3_1|2]), (564,169,[3_1|2]), (564,178,[3_1|2]), (564,187,[3_1|2]), (564,205,[3_1|2]), (564,349,[3_1|2]), (564,385,[3_1|2]), (564,394,[3_1|2]), (564,538,[3_1|2]), (564,556,[3_1|2]), (564,592,[3_1|2]), (564,440,[3_1|2]), (564,234,[3_1|2]), (564,459,[3_1|2]), (564,250,[3_1|2]), (564,259,[3_1|2]), (564,268,[3_1|2]), (564,277,[3_1|2]), (564,286,[3_1|2]), (564,295,[3_1|2]), (564,304,[3_1|2]), (564,313,[3_1|2]), (564,322,[3_1|2]), (564,331,[3_1|2]), (564,340,[3_1|2]), (564,601,[3_1|2]), (565,566,[2_1|2]), (566,567,[3_1|2]), (567,568,[3_1|2]), (568,569,[3_1|2]), (569,570,[5_1|2]), (570,571,[2_1|2]), (571,572,[2_1|2]), (572,573,[2_1|2]), (572,502,[2_1|2]), (572,511,[1_1|2]), (572,520,[1_1|2]), (572,529,[2_1|2]), (573,150,[1_1|2]), (573,196,[1_1|2]), (573,214,[1_1|2]), (573,232,[1_1|2]), (573,448,[1_1|2, 4_1|2]), (573,457,[1_1|2, 4_1|2]), (573,493,[1_1|2, 4_1|2]), (573,547,[1_1|2]), (573,430,[1_1|2]), (573,439,[1_1|2]), (573,466,[5_1|2]), (573,475,[1_1|2]), (573,484,[1_1|2]), (573,601,[0_1|3]), (574,575,[5_1|2]), (575,576,[0_1|2]), (576,577,[3_1|2]), (577,578,[4_1|2]), (578,579,[0_1|2]), (579,580,[4_1|2]), (580,581,[4_1|2]), (581,582,[3_1|2]), (582,150,[3_1|2]), (582,223,[3_1|2]), (582,241,[3_1|2]), (582,250,[3_1|2]), (582,259,[3_1|2]), (582,268,[3_1|2]), (582,277,[3_1|2]), (582,286,[3_1|2]), (582,295,[3_1|2]), (582,304,[3_1|2]), (582,313,[3_1|2]), (582,322,[3_1|2]), (582,331,[3_1|2]), (582,340,[3_1|2]), (582,367,[3_1|2]), (582,376,[3_1|2]), (582,403,[3_1|2]), (582,412,[3_1|2]), (582,485,[3_1|2]), (582,512,[3_1|2]), (583,584,[2_1|2]), (584,585,[5_1|2]), (585,586,[3_1|2]), (586,587,[0_1|2]), (587,588,[2_1|2]), (588,589,[3_1|2]), (589,590,[3_1|2]), (590,591,[3_1|2]), (590,268,[3_1|2]), (590,277,[3_1|2]), (590,286,[3_1|2]), (590,295,[3_1|2]), (590,304,[3_1|2]), (590,313,[3_1|2]), (590,322,[3_1|2]), (590,331,[3_1|2]), (591,150,[1_1|2]), (591,430,[1_1|2]), (591,439,[1_1|2]), (591,475,[1_1|2]), (591,484,[1_1|2]), (591,511,[1_1|2]), (591,520,[1_1|2]), (591,233,[1_1|2]), (591,458,[1_1|2]), (591,432,[1_1|2]), (591,448,[4_1|2]), (591,457,[4_1|2]), (591,466,[5_1|2]), (591,493,[4_1|2]), (591,601,[0_1|3]), (592,593,[0_1|2]), (593,594,[4_1|2]), (594,595,[3_1|2]), (595,596,[3_1|2]), (596,597,[5_1|2]), (597,598,[3_1|2]), (598,599,[1_1|2]), (599,600,[1_1|2]), (600,150,[1_1|2]), (600,430,[1_1|2]), (600,439,[1_1|2]), (600,475,[1_1|2]), (600,484,[1_1|2]), (600,511,[1_1|2]), (600,520,[1_1|2]), (600,161,[1_1|2]), (600,448,[4_1|2]), (600,457,[4_1|2]), (600,466,[5_1|2]), (600,493,[4_1|2]), (600,601,[0_1|3]), (601,602,[3_1|3]), (602,603,[4_1|3]), (603,604,[3_1|3]), (604,605,[3_1|3]), (605,606,[3_1|3]), (606,607,[4_1|3]), (607,608,[3_1|3]), (608,609,[0_1|3]), (609,234,[3_1|3]), (609,459,[3_1|3]), (610,611,[3_1|3]), (611,612,[4_1|3]), (612,613,[3_1|3]), (613,614,[3_1|3]), (614,615,[3_1|3]), (615,616,[4_1|3]), (616,617,[3_1|3]), (617,618,[0_1|3]), (618,440,[3_1|3]), (618,306,[3_1|3]), (618,234,[3_1|3]), (618,459,[3_1|3]), (619,620,[2_1|3]), (620,621,[5_1|3]), (621,622,[0_1|3]), (622,623,[3_1|3]), (623,624,[4_1|3]), (624,625,[3_1|3]), (625,626,[4_1|3]), (626,627,[3_1|3]), (627,431,[3_1|3]), (627,521,[3_1|3]), (628,629,[2_1|3]), (629,630,[2_1|3]), (630,631,[3_1|3]), (631,632,[3_1|3]), (632,633,[4_1|3]), (633,634,[0_1|3]), (634,635,[0_1|3]), (635,636,[3_1|3]), (636,440,[3_1|3]), (636,306,[3_1|3]), (636,234,[3_1|3]), (636,459,[3_1|3]), (637,638,[2_1|3]), (638,639,[2_1|3]), (639,640,[3_1|3]), (640,641,[3_1|3]), (641,642,[4_1|3]), (642,643,[0_1|3]), (643,644,[0_1|3]), (644,645,[3_1|3]), (645,160,[3_1|3]), (645,169,[3_1|3]), (645,178,[3_1|3]), (645,187,[3_1|3]), (645,205,[3_1|3]), (645,349,[3_1|3]), (645,385,[3_1|3]), (645,394,[3_1|3]), (645,538,[3_1|3]), (645,556,[3_1|3]), (645,592,[3_1|3]), (645,601,[3_1|3]), (645,440,[3_1|3]), (645,306,[3_1|3]), (646,647,[3_1|3]), (647,648,[4_1|3]), (648,649,[3_1|3]), (649,650,[3_1|3]), (650,651,[3_1|3]), (651,652,[4_1|3]), (652,653,[3_1|3]), (653,654,[0_1|3]), (654,160,[3_1|3]), (654,169,[3_1|3]), (654,178,[3_1|3]), (654,187,[3_1|3]), (654,205,[3_1|3]), (654,349,[3_1|3]), (654,385,[3_1|3]), (654,394,[3_1|3]), (654,538,[3_1|3]), (654,556,[3_1|3]), (654,592,[3_1|3]), (654,601,[3_1|3]), (654,440,[3_1|3]), (654,234,[3_1|3]), (654,459,[3_1|3])}" ---------------------------------------- (8) BOUNDS(1, n^1)