/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# AProVE Commit ID: 794c25de1cacf0d048858bcd21c9a779e1221865 marcel 20200619 unpublished dirty The Derivational Complexity (full) of the given DCpxTrs could be proven to be BOUNDS(1, n^1).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), 180 ms] (4) CpxRelTRS (5) RelTrsToTrsProof [UPPER BOUND(ID), 0 ms] (6) CpxTRS (7) CpxTrsMatchBoundsProof [FINISHED, 225 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: 3(0(1(5(x1)))) -> 0(0(5(2(3(2(2(4(3(5(x1)))))))))) 3(4(0(1(x1)))) -> 2(4(2(2(5(4(2(5(2(3(x1)))))))))) 0(3(3(1(1(x1))))) -> 0(0(0(3(4(5(4(3(5(1(x1)))))))))) 1(5(5(5(4(x1))))) -> 1(0(4(5(3(2(5(0(0(4(x1)))))))))) 3(0(3(1(5(x1))))) -> 0(4(5(3(1(5(3(5(3(5(x1)))))))))) 3(4(1(5(5(x1))))) -> 3(5(1(0(2(4(5(2(5(2(x1)))))))))) 3(5(0(3(3(x1))))) -> 3(5(4(2(5(2(4(5(2(3(x1)))))))))) 5(4(0(2(1(x1))))) -> 0(2(4(3(5(1(2(5(2(5(x1)))))))))) 0(0(3(0(1(1(x1)))))) -> 2(0(4(5(2(2(0(3(1(1(x1)))))))))) 0(4(4(0(1(4(x1)))))) -> 4(3(3(5(5(5(2(4(2(3(x1)))))))))) 1(0(1(2(3(1(x1)))))) -> 1(4(4(5(2(2(0(2(3(5(x1)))))))))) 1(0(4(4(0(1(x1)))))) -> 1(0(0(0(4(5(1(2(0(3(x1)))))))))) 1(5(2(4(1(5(x1)))))) -> 1(3(3(2(5(4(3(5(1(4(x1)))))))))) 2(4(4(0(1(0(x1)))))) -> 3(4(2(0(4(3(5(5(5(0(x1)))))))))) 3(0(3(2(0(1(x1)))))) -> 0(2(0(0(2(3(2(3(5(5(x1)))))))))) 3(3(3(0(1(0(x1)))))) -> 3(2(3(2(0(0(3(3(5(0(x1)))))))))) 4(0(4(1(1(1(x1)))))) -> 4(4(5(4(5(5(4(1(2(2(x1)))))))))) 4(3(0(2(1(5(x1)))))) -> 5(4(1(2(1(1(2(3(5(5(x1)))))))))) 4(5(1(0(5(5(x1)))))) -> 4(4(2(3(5(1(0(4(5(5(x1)))))))))) 5(5(1(5(3(0(x1)))))) -> 5(2(3(2(4(4(3(2(2(0(x1)))))))))) 0(1(0(2(0(5(5(x1))))))) -> 2(0(4(5(1(0(4(2(5(4(x1)))))))))) 0(1(1(0(1(0(5(x1))))))) -> 0(4(2(2(1(2(4(5(1(1(x1)))))))))) 1(3(1(0(2(5(3(x1))))))) -> 1(2(5(2(2(3(5(1(2(4(x1)))))))))) 1(4(0(5(0(1(3(x1))))))) -> 1(1(0(2(4(5(2(1(1(3(x1)))))))))) 1(4(3(1(5(0(5(x1))))))) -> 5(1(2(3(5(0(2(4(5(2(x1)))))))))) 1(5(1(3(3(3(0(x1))))))) -> 4(0(4(5(2(3(5(5(2(0(x1)))))))))) 1(5(1(4(4(4(4(x1))))))) -> 1(1(4(0(4(4(5(2(3(4(x1)))))))))) 1(5(3(0(1(4(4(x1))))))) -> 5(5(0(0(3(3(3(5(4(4(x1)))))))))) 2(0(1(5(1(0(5(x1))))))) -> 2(3(5(3(1(4(1(0(4(1(x1)))))))))) 2(1(3(0(3(1(4(x1))))))) -> 3(3(5(0(0(0(0(2(4(3(x1)))))))))) 2(2(5(4(1(4(4(x1))))))) -> 2(3(5(2(0(2(2(2(5(4(x1)))))))))) 2(5(5(4(5(0(5(x1))))))) -> 5(5(3(4(2(5(2(2(3(5(x1)))))))))) 3(0(1(1(1(5(4(x1))))))) -> 3(0(3(0(0(3(2(5(4(2(x1)))))))))) 3(0(1(3(0(2(1(x1))))))) -> 3(5(4(2(2(2(0(4(3(2(x1)))))))))) 3(0(1(5(3(4(1(x1))))))) -> 3(1(2(3(3(2(4(2(3(1(x1)))))))))) 3(0(4(1(0(1(5(x1))))))) -> 4(5(1(3(3(4(2(2(2(2(x1)))))))))) 3(4(1(5(5(5(4(x1))))))) -> 3(0(4(0(4(3(5(4(3(3(x1)))))))))) 3(4(4(0(5(1(0(x1))))))) -> 2(2(0(5(3(3(5(3(1(0(x1)))))))))) 4(0(1(5(0(5(5(x1))))))) -> 2(4(0(4(5(1(1(3(5(4(x1)))))))))) 4(0(3(1(4(0(3(x1))))))) -> 5(0(2(0(0(4(3(1(0(2(x1)))))))))) 4(1(0(3(5(1(5(x1))))))) -> 2(2(1(5(0(4(5(2(2(2(x1)))))))))) 4(1(0(5(1(3(3(x1))))))) -> 4(1(1(2(2(3(2(3(3(2(x1)))))))))) 4(1(5(4(0(2(5(x1))))))) -> 4(1(3(3(4(1(1(1(1(1(x1)))))))))) 4(1(5(5(4(4(0(x1))))))) -> 4(5(0(2(2(3(4(4(2(0(x1)))))))))) 4(3(0(1(4(0(1(x1))))))) -> 1(4(2(3(3(5(0(4(1(3(x1)))))))))) 4(3(0(2(1(2(1(x1))))))) -> 4(2(4(5(3(0(4(3(3(1(x1)))))))))) 4(4(0(1(1(0(1(x1))))))) -> 0(0(3(1(4(3(3(5(5(5(x1)))))))))) 4(4(1(2(4(4(1(x1))))))) -> 4(4(0(0(5(1(3(2(1(2(x1)))))))))) 5(4(1(5(0(1(4(x1))))))) -> 5(4(4(2(2(5(1(0(0(4(x1)))))))))) 5(5(5(1(2(4(0(x1))))))) -> 5(2(3(4(2(4(5(3(3(0(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_3(x_1)) -> 3(encArg(x_1)) encArg(cons_0(x_1)) -> 0(encArg(x_1)) encArg(cons_1(x_1)) -> 1(encArg(x_1)) encArg(cons_5(x_1)) -> 5(encArg(x_1)) encArg(cons_2(x_1)) -> 2(encArg(x_1)) encArg(cons_4(x_1)) -> 4(encArg(x_1)) encode_3(x_1) -> 3(encArg(x_1)) encode_0(x_1) -> 0(encArg(x_1)) encode_1(x_1) -> 1(encArg(x_1)) encode_5(x_1) -> 5(encArg(x_1)) encode_2(x_1) -> 2(encArg(x_1)) encode_4(x_1) -> 4(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: 3(0(1(5(x1)))) -> 0(0(5(2(3(2(2(4(3(5(x1)))))))))) 3(4(0(1(x1)))) -> 2(4(2(2(5(4(2(5(2(3(x1)))))))))) 0(3(3(1(1(x1))))) -> 0(0(0(3(4(5(4(3(5(1(x1)))))))))) 1(5(5(5(4(x1))))) -> 1(0(4(5(3(2(5(0(0(4(x1)))))))))) 3(0(3(1(5(x1))))) -> 0(4(5(3(1(5(3(5(3(5(x1)))))))))) 3(4(1(5(5(x1))))) -> 3(5(1(0(2(4(5(2(5(2(x1)))))))))) 3(5(0(3(3(x1))))) -> 3(5(4(2(5(2(4(5(2(3(x1)))))))))) 5(4(0(2(1(x1))))) -> 0(2(4(3(5(1(2(5(2(5(x1)))))))))) 0(0(3(0(1(1(x1)))))) -> 2(0(4(5(2(2(0(3(1(1(x1)))))))))) 0(4(4(0(1(4(x1)))))) -> 4(3(3(5(5(5(2(4(2(3(x1)))))))))) 1(0(1(2(3(1(x1)))))) -> 1(4(4(5(2(2(0(2(3(5(x1)))))))))) 1(0(4(4(0(1(x1)))))) -> 1(0(0(0(4(5(1(2(0(3(x1)))))))))) 1(5(2(4(1(5(x1)))))) -> 1(3(3(2(5(4(3(5(1(4(x1)))))))))) 2(4(4(0(1(0(x1)))))) -> 3(4(2(0(4(3(5(5(5(0(x1)))))))))) 3(0(3(2(0(1(x1)))))) -> 0(2(0(0(2(3(2(3(5(5(x1)))))))))) 3(3(3(0(1(0(x1)))))) -> 3(2(3(2(0(0(3(3(5(0(x1)))))))))) 4(0(4(1(1(1(x1)))))) -> 4(4(5(4(5(5(4(1(2(2(x1)))))))))) 4(3(0(2(1(5(x1)))))) -> 5(4(1(2(1(1(2(3(5(5(x1)))))))))) 4(5(1(0(5(5(x1)))))) -> 4(4(2(3(5(1(0(4(5(5(x1)))))))))) 5(5(1(5(3(0(x1)))))) -> 5(2(3(2(4(4(3(2(2(0(x1)))))))))) 0(1(0(2(0(5(5(x1))))))) -> 2(0(4(5(1(0(4(2(5(4(x1)))))))))) 0(1(1(0(1(0(5(x1))))))) -> 0(4(2(2(1(2(4(5(1(1(x1)))))))))) 1(3(1(0(2(5(3(x1))))))) -> 1(2(5(2(2(3(5(1(2(4(x1)))))))))) 1(4(0(5(0(1(3(x1))))))) -> 1(1(0(2(4(5(2(1(1(3(x1)))))))))) 1(4(3(1(5(0(5(x1))))))) -> 5(1(2(3(5(0(2(4(5(2(x1)))))))))) 1(5(1(3(3(3(0(x1))))))) -> 4(0(4(5(2(3(5(5(2(0(x1)))))))))) 1(5(1(4(4(4(4(x1))))))) -> 1(1(4(0(4(4(5(2(3(4(x1)))))))))) 1(5(3(0(1(4(4(x1))))))) -> 5(5(0(0(3(3(3(5(4(4(x1)))))))))) 2(0(1(5(1(0(5(x1))))))) -> 2(3(5(3(1(4(1(0(4(1(x1)))))))))) 2(1(3(0(3(1(4(x1))))))) -> 3(3(5(0(0(0(0(2(4(3(x1)))))))))) 2(2(5(4(1(4(4(x1))))))) -> 2(3(5(2(0(2(2(2(5(4(x1)))))))))) 2(5(5(4(5(0(5(x1))))))) -> 5(5(3(4(2(5(2(2(3(5(x1)))))))))) 3(0(1(1(1(5(4(x1))))))) -> 3(0(3(0(0(3(2(5(4(2(x1)))))))))) 3(0(1(3(0(2(1(x1))))))) -> 3(5(4(2(2(2(0(4(3(2(x1)))))))))) 3(0(1(5(3(4(1(x1))))))) -> 3(1(2(3(3(2(4(2(3(1(x1)))))))))) 3(0(4(1(0(1(5(x1))))))) -> 4(5(1(3(3(4(2(2(2(2(x1)))))))))) 3(4(1(5(5(5(4(x1))))))) -> 3(0(4(0(4(3(5(4(3(3(x1)))))))))) 3(4(4(0(5(1(0(x1))))))) -> 2(2(0(5(3(3(5(3(1(0(x1)))))))))) 4(0(1(5(0(5(5(x1))))))) -> 2(4(0(4(5(1(1(3(5(4(x1)))))))))) 4(0(3(1(4(0(3(x1))))))) -> 5(0(2(0(0(4(3(1(0(2(x1)))))))))) 4(1(0(3(5(1(5(x1))))))) -> 2(2(1(5(0(4(5(2(2(2(x1)))))))))) 4(1(0(5(1(3(3(x1))))))) -> 4(1(1(2(2(3(2(3(3(2(x1)))))))))) 4(1(5(4(0(2(5(x1))))))) -> 4(1(3(3(4(1(1(1(1(1(x1)))))))))) 4(1(5(5(4(4(0(x1))))))) -> 4(5(0(2(2(3(4(4(2(0(x1)))))))))) 4(3(0(1(4(0(1(x1))))))) -> 1(4(2(3(3(5(0(4(1(3(x1)))))))))) 4(3(0(2(1(2(1(x1))))))) -> 4(2(4(5(3(0(4(3(3(1(x1)))))))))) 4(4(0(1(1(0(1(x1))))))) -> 0(0(3(1(4(3(3(5(5(5(x1)))))))))) 4(4(1(2(4(4(1(x1))))))) -> 4(4(0(0(5(1(3(2(1(2(x1)))))))))) 5(4(1(5(0(1(4(x1))))))) -> 5(4(4(2(2(5(1(0(0(4(x1)))))))))) 5(5(5(1(2(4(0(x1))))))) -> 5(2(3(4(2(4(5(3(3(0(x1)))))))))) The (relative) TRS S consists of the following rules: encArg(cons_3(x_1)) -> 3(encArg(x_1)) encArg(cons_0(x_1)) -> 0(encArg(x_1)) encArg(cons_1(x_1)) -> 1(encArg(x_1)) encArg(cons_5(x_1)) -> 5(encArg(x_1)) encArg(cons_2(x_1)) -> 2(encArg(x_1)) encArg(cons_4(x_1)) -> 4(encArg(x_1)) encode_3(x_1) -> 3(encArg(x_1)) encode_0(x_1) -> 0(encArg(x_1)) encode_1(x_1) -> 1(encArg(x_1)) encode_5(x_1) -> 5(encArg(x_1)) encode_2(x_1) -> 2(encArg(x_1)) encode_4(x_1) -> 4(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: 3(0(1(5(x1)))) -> 0(0(5(2(3(2(2(4(3(5(x1)))))))))) 3(4(0(1(x1)))) -> 2(4(2(2(5(4(2(5(2(3(x1)))))))))) 0(3(3(1(1(x1))))) -> 0(0(0(3(4(5(4(3(5(1(x1)))))))))) 1(5(5(5(4(x1))))) -> 1(0(4(5(3(2(5(0(0(4(x1)))))))))) 3(0(3(1(5(x1))))) -> 0(4(5(3(1(5(3(5(3(5(x1)))))))))) 3(4(1(5(5(x1))))) -> 3(5(1(0(2(4(5(2(5(2(x1)))))))))) 3(5(0(3(3(x1))))) -> 3(5(4(2(5(2(4(5(2(3(x1)))))))))) 5(4(0(2(1(x1))))) -> 0(2(4(3(5(1(2(5(2(5(x1)))))))))) 0(0(3(0(1(1(x1)))))) -> 2(0(4(5(2(2(0(3(1(1(x1)))))))))) 0(4(4(0(1(4(x1)))))) -> 4(3(3(5(5(5(2(4(2(3(x1)))))))))) 1(0(1(2(3(1(x1)))))) -> 1(4(4(5(2(2(0(2(3(5(x1)))))))))) 1(0(4(4(0(1(x1)))))) -> 1(0(0(0(4(5(1(2(0(3(x1)))))))))) 1(5(2(4(1(5(x1)))))) -> 1(3(3(2(5(4(3(5(1(4(x1)))))))))) 2(4(4(0(1(0(x1)))))) -> 3(4(2(0(4(3(5(5(5(0(x1)))))))))) 3(0(3(2(0(1(x1)))))) -> 0(2(0(0(2(3(2(3(5(5(x1)))))))))) 3(3(3(0(1(0(x1)))))) -> 3(2(3(2(0(0(3(3(5(0(x1)))))))))) 4(0(4(1(1(1(x1)))))) -> 4(4(5(4(5(5(4(1(2(2(x1)))))))))) 4(3(0(2(1(5(x1)))))) -> 5(4(1(2(1(1(2(3(5(5(x1)))))))))) 4(5(1(0(5(5(x1)))))) -> 4(4(2(3(5(1(0(4(5(5(x1)))))))))) 5(5(1(5(3(0(x1)))))) -> 5(2(3(2(4(4(3(2(2(0(x1)))))))))) 0(1(0(2(0(5(5(x1))))))) -> 2(0(4(5(1(0(4(2(5(4(x1)))))))))) 0(1(1(0(1(0(5(x1))))))) -> 0(4(2(2(1(2(4(5(1(1(x1)))))))))) 1(3(1(0(2(5(3(x1))))))) -> 1(2(5(2(2(3(5(1(2(4(x1)))))))))) 1(4(0(5(0(1(3(x1))))))) -> 1(1(0(2(4(5(2(1(1(3(x1)))))))))) 1(4(3(1(5(0(5(x1))))))) -> 5(1(2(3(5(0(2(4(5(2(x1)))))))))) 1(5(1(3(3(3(0(x1))))))) -> 4(0(4(5(2(3(5(5(2(0(x1)))))))))) 1(5(1(4(4(4(4(x1))))))) -> 1(1(4(0(4(4(5(2(3(4(x1)))))))))) 1(5(3(0(1(4(4(x1))))))) -> 5(5(0(0(3(3(3(5(4(4(x1)))))))))) 2(0(1(5(1(0(5(x1))))))) -> 2(3(5(3(1(4(1(0(4(1(x1)))))))))) 2(1(3(0(3(1(4(x1))))))) -> 3(3(5(0(0(0(0(2(4(3(x1)))))))))) 2(2(5(4(1(4(4(x1))))))) -> 2(3(5(2(0(2(2(2(5(4(x1)))))))))) 2(5(5(4(5(0(5(x1))))))) -> 5(5(3(4(2(5(2(2(3(5(x1)))))))))) 3(0(1(1(1(5(4(x1))))))) -> 3(0(3(0(0(3(2(5(4(2(x1)))))))))) 3(0(1(3(0(2(1(x1))))))) -> 3(5(4(2(2(2(0(4(3(2(x1)))))))))) 3(0(1(5(3(4(1(x1))))))) -> 3(1(2(3(3(2(4(2(3(1(x1)))))))))) 3(0(4(1(0(1(5(x1))))))) -> 4(5(1(3(3(4(2(2(2(2(x1)))))))))) 3(4(1(5(5(5(4(x1))))))) -> 3(0(4(0(4(3(5(4(3(3(x1)))))))))) 3(4(4(0(5(1(0(x1))))))) -> 2(2(0(5(3(3(5(3(1(0(x1)))))))))) 4(0(1(5(0(5(5(x1))))))) -> 2(4(0(4(5(1(1(3(5(4(x1)))))))))) 4(0(3(1(4(0(3(x1))))))) -> 5(0(2(0(0(4(3(1(0(2(x1)))))))))) 4(1(0(3(5(1(5(x1))))))) -> 2(2(1(5(0(4(5(2(2(2(x1)))))))))) 4(1(0(5(1(3(3(x1))))))) -> 4(1(1(2(2(3(2(3(3(2(x1)))))))))) 4(1(5(4(0(2(5(x1))))))) -> 4(1(3(3(4(1(1(1(1(1(x1)))))))))) 4(1(5(5(4(4(0(x1))))))) -> 4(5(0(2(2(3(4(4(2(0(x1)))))))))) 4(3(0(1(4(0(1(x1))))))) -> 1(4(2(3(3(5(0(4(1(3(x1)))))))))) 4(3(0(2(1(2(1(x1))))))) -> 4(2(4(5(3(0(4(3(3(1(x1)))))))))) 4(4(0(1(1(0(1(x1))))))) -> 0(0(3(1(4(3(3(5(5(5(x1)))))))))) 4(4(1(2(4(4(1(x1))))))) -> 4(4(0(0(5(1(3(2(1(2(x1)))))))))) 5(4(1(5(0(1(4(x1))))))) -> 5(4(4(2(2(5(1(0(0(4(x1)))))))))) 5(5(5(1(2(4(0(x1))))))) -> 5(2(3(4(2(4(5(3(3(0(x1)))))))))) The (relative) TRS S consists of the following rules: encArg(cons_3(x_1)) -> 3(encArg(x_1)) encArg(cons_0(x_1)) -> 0(encArg(x_1)) encArg(cons_1(x_1)) -> 1(encArg(x_1)) encArg(cons_5(x_1)) -> 5(encArg(x_1)) encArg(cons_2(x_1)) -> 2(encArg(x_1)) encArg(cons_4(x_1)) -> 4(encArg(x_1)) encode_3(x_1) -> 3(encArg(x_1)) encode_0(x_1) -> 0(encArg(x_1)) encode_1(x_1) -> 1(encArg(x_1)) encode_5(x_1) -> 5(encArg(x_1)) encode_2(x_1) -> 2(encArg(x_1)) encode_4(x_1) -> 4(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: 3(0(1(5(x1)))) -> 0(0(5(2(3(2(2(4(3(5(x1)))))))))) 3(4(0(1(x1)))) -> 2(4(2(2(5(4(2(5(2(3(x1)))))))))) 0(3(3(1(1(x1))))) -> 0(0(0(3(4(5(4(3(5(1(x1)))))))))) 1(5(5(5(4(x1))))) -> 1(0(4(5(3(2(5(0(0(4(x1)))))))))) 3(0(3(1(5(x1))))) -> 0(4(5(3(1(5(3(5(3(5(x1)))))))))) 3(4(1(5(5(x1))))) -> 3(5(1(0(2(4(5(2(5(2(x1)))))))))) 3(5(0(3(3(x1))))) -> 3(5(4(2(5(2(4(5(2(3(x1)))))))))) 5(4(0(2(1(x1))))) -> 0(2(4(3(5(1(2(5(2(5(x1)))))))))) 0(0(3(0(1(1(x1)))))) -> 2(0(4(5(2(2(0(3(1(1(x1)))))))))) 0(4(4(0(1(4(x1)))))) -> 4(3(3(5(5(5(2(4(2(3(x1)))))))))) 1(0(1(2(3(1(x1)))))) -> 1(4(4(5(2(2(0(2(3(5(x1)))))))))) 1(0(4(4(0(1(x1)))))) -> 1(0(0(0(4(5(1(2(0(3(x1)))))))))) 1(5(2(4(1(5(x1)))))) -> 1(3(3(2(5(4(3(5(1(4(x1)))))))))) 2(4(4(0(1(0(x1)))))) -> 3(4(2(0(4(3(5(5(5(0(x1)))))))))) 3(0(3(2(0(1(x1)))))) -> 0(2(0(0(2(3(2(3(5(5(x1)))))))))) 3(3(3(0(1(0(x1)))))) -> 3(2(3(2(0(0(3(3(5(0(x1)))))))))) 4(0(4(1(1(1(x1)))))) -> 4(4(5(4(5(5(4(1(2(2(x1)))))))))) 4(3(0(2(1(5(x1)))))) -> 5(4(1(2(1(1(2(3(5(5(x1)))))))))) 4(5(1(0(5(5(x1)))))) -> 4(4(2(3(5(1(0(4(5(5(x1)))))))))) 5(5(1(5(3(0(x1)))))) -> 5(2(3(2(4(4(3(2(2(0(x1)))))))))) 0(1(0(2(0(5(5(x1))))))) -> 2(0(4(5(1(0(4(2(5(4(x1)))))))))) 0(1(1(0(1(0(5(x1))))))) -> 0(4(2(2(1(2(4(5(1(1(x1)))))))))) 1(3(1(0(2(5(3(x1))))))) -> 1(2(5(2(2(3(5(1(2(4(x1)))))))))) 1(4(0(5(0(1(3(x1))))))) -> 1(1(0(2(4(5(2(1(1(3(x1)))))))))) 1(4(3(1(5(0(5(x1))))))) -> 5(1(2(3(5(0(2(4(5(2(x1)))))))))) 1(5(1(3(3(3(0(x1))))))) -> 4(0(4(5(2(3(5(5(2(0(x1)))))))))) 1(5(1(4(4(4(4(x1))))))) -> 1(1(4(0(4(4(5(2(3(4(x1)))))))))) 1(5(3(0(1(4(4(x1))))))) -> 5(5(0(0(3(3(3(5(4(4(x1)))))))))) 2(0(1(5(1(0(5(x1))))))) -> 2(3(5(3(1(4(1(0(4(1(x1)))))))))) 2(1(3(0(3(1(4(x1))))))) -> 3(3(5(0(0(0(0(2(4(3(x1)))))))))) 2(2(5(4(1(4(4(x1))))))) -> 2(3(5(2(0(2(2(2(5(4(x1)))))))))) 2(5(5(4(5(0(5(x1))))))) -> 5(5(3(4(2(5(2(2(3(5(x1)))))))))) 3(0(1(1(1(5(4(x1))))))) -> 3(0(3(0(0(3(2(5(4(2(x1)))))))))) 3(0(1(3(0(2(1(x1))))))) -> 3(5(4(2(2(2(0(4(3(2(x1)))))))))) 3(0(1(5(3(4(1(x1))))))) -> 3(1(2(3(3(2(4(2(3(1(x1)))))))))) 3(0(4(1(0(1(5(x1))))))) -> 4(5(1(3(3(4(2(2(2(2(x1)))))))))) 3(4(1(5(5(5(4(x1))))))) -> 3(0(4(0(4(3(5(4(3(3(x1)))))))))) 3(4(4(0(5(1(0(x1))))))) -> 2(2(0(5(3(3(5(3(1(0(x1)))))))))) 4(0(1(5(0(5(5(x1))))))) -> 2(4(0(4(5(1(1(3(5(4(x1)))))))))) 4(0(3(1(4(0(3(x1))))))) -> 5(0(2(0(0(4(3(1(0(2(x1)))))))))) 4(1(0(3(5(1(5(x1))))))) -> 2(2(1(5(0(4(5(2(2(2(x1)))))))))) 4(1(0(5(1(3(3(x1))))))) -> 4(1(1(2(2(3(2(3(3(2(x1)))))))))) 4(1(5(4(0(2(5(x1))))))) -> 4(1(3(3(4(1(1(1(1(1(x1)))))))))) 4(1(5(5(4(4(0(x1))))))) -> 4(5(0(2(2(3(4(4(2(0(x1)))))))))) 4(3(0(1(4(0(1(x1))))))) -> 1(4(2(3(3(5(0(4(1(3(x1)))))))))) 4(3(0(2(1(2(1(x1))))))) -> 4(2(4(5(3(0(4(3(3(1(x1)))))))))) 4(4(0(1(1(0(1(x1))))))) -> 0(0(3(1(4(3(3(5(5(5(x1)))))))))) 4(4(1(2(4(4(1(x1))))))) -> 4(4(0(0(5(1(3(2(1(2(x1)))))))))) 5(4(1(5(0(1(4(x1))))))) -> 5(4(4(2(2(5(1(0(0(4(x1)))))))))) 5(5(5(1(2(4(0(x1))))))) -> 5(2(3(4(2(4(5(3(3(0(x1)))))))))) encArg(cons_3(x_1)) -> 3(encArg(x_1)) encArg(cons_0(x_1)) -> 0(encArg(x_1)) encArg(cons_1(x_1)) -> 1(encArg(x_1)) encArg(cons_5(x_1)) -> 5(encArg(x_1)) encArg(cons_2(x_1)) -> 2(encArg(x_1)) encArg(cons_4(x_1)) -> 4(encArg(x_1)) encode_3(x_1) -> 3(encArg(x_1)) encode_0(x_1) -> 0(encArg(x_1)) encode_1(x_1) -> 1(encArg(x_1)) encode_5(x_1) -> 5(encArg(x_1)) encode_2(x_1) -> 2(encArg(x_1)) encode_4(x_1) -> 4(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. "[125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 149, 150, 151, 152, 153, 154, 155, 156, 157, 158, 159, 160, 161, 162, 163, 164, 165, 166, 167, 168, 169, 170, 171, 172, 173, 174, 175, 176, 177, 178, 179, 180, 181, 182, 183, 184, 185, 186, 187, 188, 189, 190, 191, 192, 193, 194, 195, 196, 197, 198, 199, 200, 201, 202, 203, 204, 205, 206, 207, 208, 209, 210, 211, 212, 213, 214, 215, 216, 217, 218, 219, 220, 221, 222, 223, 224, 225, 226, 227, 228, 229, 230, 231, 232, 233, 234, 235, 236, 237, 238, 239, 240, 241, 242, 243, 244, 245, 246, 247, 248, 249, 250, 251, 252, 253, 254, 255, 256, 257, 258, 259, 260, 261, 262, 263, 264, 265, 266, 267, 268, 269, 270, 271, 272, 273, 274, 275, 276, 277, 278, 279, 280, 281, 282, 283, 284, 285, 286, 287, 288, 289, 290, 291, 292, 293, 294, 295, 296, 297, 298, 299, 300, 301, 302, 303, 304, 305, 306, 307, 308, 309, 310, 311, 312, 313, 314, 315, 316, 317, 318, 319, 320, 321, 322, 323, 324, 325, 326, 327, 328, 329, 330, 331, 332, 333, 334, 335, 336, 337, 338, 339, 340, 341, 342, 343, 344, 345, 346, 347, 348, 349, 350, 351, 352, 353, 354, 355, 356, 357, 358, 359, 360, 361, 362, 363, 364, 365, 366, 367, 368, 369, 370, 371, 372, 373, 374, 375, 376, 377, 378, 379, 380, 381, 382, 383, 384, 385, 386, 387, 388, 389, 390, 391, 392, 393, 394, 395, 396, 397, 398, 399, 400, 401, 402, 403, 404, 405, 406, 407, 408, 409, 410, 411, 412, 413, 414, 415, 416, 417, 418, 419, 420, 421, 422, 423, 424, 425, 426, 427, 428, 429, 430, 431, 432, 433, 434, 435, 436, 437, 438, 439, 440, 441, 442, 443, 444, 445, 446, 447, 448, 449, 450, 451, 452, 453, 454, 455, 456, 457, 458, 459, 460, 461, 462, 463, 464, 465, 466, 467, 468, 469, 470, 471, 472, 473, 474, 475, 476, 477, 478, 479, 480, 481, 482, 483, 484, 485, 486, 487, 488, 489, 490, 491, 492, 493, 494, 495, 496, 497, 498, 499, 500, 501, 502, 503, 504, 505, 506, 507, 508, 509, 510, 511, 512, 513, 514, 515, 516, 517, 518, 519, 520, 521, 522, 523, 524, 525, 526, 527, 528, 529, 530, 531, 532, 533, 534, 535, 536, 537, 538, 539, 540, 541, 542, 543, 544, 545, 546, 547, 548, 549, 550, 551, 552, 553, 554, 555, 556, 557, 558, 559, 560, 561, 562, 563, 564, 565, 566, 567, 568, 569, 570, 571, 572, 573, 574, 575, 576, 577, 578, 579, 580, 581, 582, 583, 584, 585, 586, 587, 588, 589, 590, 591, 592, 593, 594, 595] {(125,126,[3_1|0, 0_1|0, 1_1|0, 5_1|0, 2_1|0, 4_1|0, encArg_1|0, encode_3_1|0, encode_0_1|0, encode_1_1|0, encode_5_1|0, encode_2_1|0, encode_4_1|0]), (125,127,[3_1|1, 0_1|1, 1_1|1, 5_1|1, 2_1|1, 4_1|1]), (125,128,[0_1|2]), (125,137,[3_1|2]), (125,146,[3_1|2]), (125,155,[3_1|2]), (125,164,[0_1|2]), (125,173,[0_1|2]), (125,182,[4_1|2]), (125,191,[2_1|2]), (125,200,[3_1|2]), (125,209,[3_1|2]), (125,218,[2_1|2]), (125,227,[3_1|2]), (125,236,[3_1|2]), (125,245,[0_1|2]), (125,254,[2_1|2]), (125,263,[4_1|2]), (125,272,[2_1|2]), (125,281,[0_1|2]), (125,290,[1_1|2]), (125,299,[1_1|2]), (125,308,[4_1|2]), (125,317,[1_1|2]), (125,326,[5_1|2]), (125,335,[1_1|2]), (125,344,[1_1|2]), (125,353,[1_1|2]), (125,362,[1_1|2]), (125,371,[5_1|2]), (125,380,[0_1|2]), (125,389,[5_1|2]), (125,398,[5_1|2]), (125,407,[5_1|2]), (125,416,[3_1|2]), (125,425,[2_1|2]), (125,434,[3_1|2]), (125,443,[2_1|2]), (125,452,[5_1|2]), (125,461,[4_1|2]), (125,470,[2_1|2]), (125,479,[5_1|2]), (125,488,[5_1|2]), (125,497,[4_1|2]), (125,506,[1_1|2]), (125,515,[4_1|2]), (125,524,[2_1|2]), (125,533,[4_1|2]), (125,542,[4_1|2]), (125,551,[4_1|2]), (125,560,[0_1|2]), (125,569,[4_1|2]), (126,126,[cons_3_1|0, cons_0_1|0, cons_1_1|0, cons_5_1|0, cons_2_1|0, cons_4_1|0]), (127,126,[encArg_1|1]), (127,127,[3_1|1, 0_1|1, 1_1|1, 5_1|1, 2_1|1, 4_1|1]), (127,128,[0_1|2]), (127,137,[3_1|2]), (127,146,[3_1|2]), (127,155,[3_1|2]), (127,164,[0_1|2]), (127,173,[0_1|2]), (127,182,[4_1|2]), (127,191,[2_1|2]), (127,200,[3_1|2]), (127,209,[3_1|2]), (127,218,[2_1|2]), (127,227,[3_1|2]), (127,236,[3_1|2]), (127,245,[0_1|2]), (127,254,[2_1|2]), (127,263,[4_1|2]), (127,272,[2_1|2]), (127,281,[0_1|2]), (127,290,[1_1|2]), (127,299,[1_1|2]), (127,308,[4_1|2]), (127,317,[1_1|2]), (127,326,[5_1|2]), (127,335,[1_1|2]), (127,344,[1_1|2]), (127,353,[1_1|2]), (127,362,[1_1|2]), (127,371,[5_1|2]), (127,380,[0_1|2]), (127,389,[5_1|2]), (127,398,[5_1|2]), (127,407,[5_1|2]), (127,416,[3_1|2]), (127,425,[2_1|2]), (127,434,[3_1|2]), (127,443,[2_1|2]), (127,452,[5_1|2]), (127,461,[4_1|2]), (127,470,[2_1|2]), (127,479,[5_1|2]), (127,488,[5_1|2]), (127,497,[4_1|2]), (127,506,[1_1|2]), (127,515,[4_1|2]), (127,524,[2_1|2]), (127,533,[4_1|2]), (127,542,[4_1|2]), (127,551,[4_1|2]), (127,560,[0_1|2]), (127,569,[4_1|2]), (128,129,[0_1|2]), (129,130,[5_1|2]), (130,131,[2_1|2]), (131,132,[3_1|2]), (132,133,[2_1|2]), (133,134,[2_1|2]), (134,135,[4_1|2]), (135,136,[3_1|2]), (135,227,[3_1|2]), (136,127,[5_1|2]), (136,326,[5_1|2]), (136,371,[5_1|2]), (136,389,[5_1|2]), (136,398,[5_1|2]), (136,407,[5_1|2]), (136,452,[5_1|2]), (136,479,[5_1|2]), (136,488,[5_1|2]), (136,380,[0_1|2]), (137,138,[1_1|2]), (138,139,[2_1|2]), (139,140,[3_1|2]), (140,141,[3_1|2]), (141,142,[2_1|2]), (142,143,[4_1|2]), (143,144,[2_1|2]), (144,145,[3_1|2]), (145,127,[1_1|2]), (145,290,[1_1|2]), (145,299,[1_1|2]), (145,317,[1_1|2]), (145,335,[1_1|2]), (145,344,[1_1|2]), (145,353,[1_1|2]), (145,362,[1_1|2]), (145,506,[1_1|2]), (145,534,[1_1|2]), (145,543,[1_1|2]), (145,308,[4_1|2]), (145,326,[5_1|2]), (145,371,[5_1|2]), (146,147,[0_1|2]), (147,148,[3_1|2]), (148,149,[0_1|2]), (149,150,[0_1|2]), (150,151,[3_1|2]), (151,152,[2_1|2]), (152,153,[5_1|2]), (153,154,[4_1|2]), (154,127,[2_1|2]), (154,182,[2_1|2]), (154,263,[2_1|2]), (154,308,[2_1|2]), (154,461,[2_1|2]), (154,497,[2_1|2]), (154,515,[2_1|2]), (154,533,[2_1|2]), (154,542,[2_1|2]), (154,551,[2_1|2]), (154,569,[2_1|2]), (154,390,[2_1|2]), (154,489,[2_1|2]), (154,416,[3_1|2]), (154,425,[2_1|2]), (154,434,[3_1|2]), (154,443,[2_1|2]), (154,452,[5_1|2]), (155,156,[5_1|2]), (156,157,[4_1|2]), (157,158,[2_1|2]), (158,159,[2_1|2]), (159,160,[2_1|2]), (160,161,[0_1|2]), (161,162,[4_1|2]), (162,163,[3_1|2]), (163,127,[2_1|2]), (163,290,[2_1|2]), (163,299,[2_1|2]), (163,317,[2_1|2]), (163,335,[2_1|2]), (163,344,[2_1|2]), (163,353,[2_1|2]), (163,362,[2_1|2]), (163,506,[2_1|2]), (163,416,[3_1|2]), (163,425,[2_1|2]), (163,434,[3_1|2]), (163,443,[2_1|2]), (163,452,[5_1|2]), (164,165,[4_1|2]), (165,166,[5_1|2]), (166,167,[3_1|2]), (167,168,[1_1|2]), (168,169,[5_1|2]), (169,170,[3_1|2]), (170,171,[5_1|2]), (171,172,[3_1|2]), (171,227,[3_1|2]), (172,127,[5_1|2]), (172,326,[5_1|2]), (172,371,[5_1|2]), (172,389,[5_1|2]), (172,398,[5_1|2]), (172,407,[5_1|2]), (172,452,[5_1|2]), (172,479,[5_1|2]), (172,488,[5_1|2]), (172,380,[0_1|2]), (173,174,[2_1|2]), (174,175,[0_1|2]), (175,176,[0_1|2]), (176,177,[2_1|2]), (177,178,[3_1|2]), (178,179,[2_1|2]), (179,180,[3_1|2]), (180,181,[5_1|2]), (180,398,[5_1|2]), (180,407,[5_1|2]), (181,127,[5_1|2]), (181,290,[5_1|2]), (181,299,[5_1|2]), (181,317,[5_1|2]), (181,335,[5_1|2]), (181,344,[5_1|2]), (181,353,[5_1|2]), (181,362,[5_1|2]), (181,506,[5_1|2]), (181,380,[0_1|2]), (181,389,[5_1|2]), (181,398,[5_1|2]), (181,407,[5_1|2]), (182,183,[5_1|2]), (183,184,[1_1|2]), (184,185,[3_1|2]), (185,186,[3_1|2]), (186,187,[4_1|2]), (187,188,[2_1|2]), (188,189,[2_1|2]), (189,190,[2_1|2]), (189,443,[2_1|2]), (190,127,[2_1|2]), (190,326,[2_1|2]), (190,371,[2_1|2]), (190,389,[2_1|2]), (190,398,[2_1|2]), (190,407,[2_1|2]), (190,452,[2_1|2, 5_1|2]), (190,479,[2_1|2]), (190,488,[2_1|2]), (190,416,[3_1|2]), (190,425,[2_1|2]), (190,434,[3_1|2]), (190,443,[2_1|2]), (191,192,[4_1|2]), (192,193,[2_1|2]), (193,194,[2_1|2]), (194,195,[5_1|2]), (195,196,[4_1|2]), (196,197,[2_1|2]), (197,198,[5_1|2]), (198,199,[2_1|2]), (199,127,[3_1|2]), (199,290,[3_1|2]), (199,299,[3_1|2]), (199,317,[3_1|2]), (199,335,[3_1|2]), (199,344,[3_1|2]), (199,353,[3_1|2]), (199,362,[3_1|2]), (199,506,[3_1|2]), (199,128,[0_1|2]), (199,137,[3_1|2]), (199,146,[3_1|2]), (199,155,[3_1|2]), (199,164,[0_1|2]), (199,173,[0_1|2]), (199,182,[4_1|2]), (199,191,[2_1|2]), (199,200,[3_1|2]), (199,209,[3_1|2]), (199,218,[2_1|2]), (199,227,[3_1|2]), (199,236,[3_1|2]), (200,201,[5_1|2]), (201,202,[1_1|2]), (202,203,[0_1|2]), (203,204,[2_1|2]), (204,205,[4_1|2]), (205,206,[5_1|2]), (206,207,[2_1|2]), (207,208,[5_1|2]), (208,127,[2_1|2]), (208,326,[2_1|2]), (208,371,[2_1|2]), (208,389,[2_1|2]), (208,398,[2_1|2]), (208,407,[2_1|2]), (208,452,[2_1|2, 5_1|2]), (208,479,[2_1|2]), (208,488,[2_1|2]), (208,327,[2_1|2]), (208,453,[2_1|2]), (208,416,[3_1|2]), (208,425,[2_1|2]), (208,434,[3_1|2]), (208,443,[2_1|2]), (209,210,[0_1|2]), (210,211,[4_1|2]), (211,212,[0_1|2]), (212,213,[4_1|2]), (213,214,[3_1|2]), (214,215,[5_1|2]), (215,216,[4_1|2]), (216,217,[3_1|2]), (216,236,[3_1|2]), (217,127,[3_1|2]), (217,182,[3_1|2, 4_1|2]), (217,263,[3_1|2]), (217,308,[3_1|2]), (217,461,[3_1|2]), (217,497,[3_1|2]), (217,515,[3_1|2]), (217,533,[3_1|2]), (217,542,[3_1|2]), (217,551,[3_1|2]), (217,569,[3_1|2]), (217,390,[3_1|2]), (217,489,[3_1|2]), (217,128,[0_1|2]), (217,137,[3_1|2]), (217,146,[3_1|2]), (217,155,[3_1|2]), (217,164,[0_1|2]), (217,173,[0_1|2]), (217,191,[2_1|2]), (217,200,[3_1|2]), (217,209,[3_1|2]), (217,218,[2_1|2]), (217,227,[3_1|2]), (217,236,[3_1|2]), (218,219,[2_1|2]), (219,220,[0_1|2]), (220,221,[5_1|2]), (221,222,[3_1|2]), (222,223,[3_1|2]), (223,224,[5_1|2]), (224,225,[3_1|2]), (225,226,[1_1|2]), (225,335,[1_1|2]), (225,344,[1_1|2]), (226,127,[0_1|2]), (226,128,[0_1|2]), (226,164,[0_1|2]), (226,173,[0_1|2]), (226,245,[0_1|2]), (226,281,[0_1|2]), (226,380,[0_1|2]), (226,560,[0_1|2]), (226,291,[0_1|2]), (226,345,[0_1|2]), (226,254,[2_1|2]), (226,263,[4_1|2]), (226,272,[2_1|2]), (227,228,[5_1|2]), (228,229,[4_1|2]), (229,230,[2_1|2]), (230,231,[5_1|2]), (231,232,[2_1|2]), (232,233,[4_1|2]), (233,234,[5_1|2]), (234,235,[2_1|2]), (235,127,[3_1|2]), (235,137,[3_1|2]), (235,146,[3_1|2]), (235,155,[3_1|2]), (235,200,[3_1|2]), (235,209,[3_1|2]), (235,227,[3_1|2]), (235,236,[3_1|2]), (235,416,[3_1|2]), (235,434,[3_1|2]), (235,435,[3_1|2]), (235,128,[0_1|2]), (235,164,[0_1|2]), (235,173,[0_1|2]), (235,182,[4_1|2]), (235,191,[2_1|2]), (235,218,[2_1|2]), (236,237,[2_1|2]), (237,238,[3_1|2]), (238,239,[2_1|2]), (239,240,[0_1|2]), (240,241,[0_1|2]), (241,242,[3_1|2]), (242,243,[3_1|2]), (242,227,[3_1|2]), (242,578,[3_1|3]), (243,244,[5_1|2]), (244,127,[0_1|2]), (244,128,[0_1|2]), (244,164,[0_1|2]), (244,173,[0_1|2]), (244,245,[0_1|2]), (244,281,[0_1|2]), (244,380,[0_1|2]), (244,560,[0_1|2]), (244,291,[0_1|2]), (244,345,[0_1|2]), (244,254,[2_1|2]), (244,263,[4_1|2]), (244,272,[2_1|2]), (245,246,[0_1|2]), (246,247,[0_1|2]), (247,248,[3_1|2]), (248,249,[4_1|2]), (249,250,[5_1|2]), (250,251,[4_1|2]), (251,252,[3_1|2]), (252,253,[5_1|2]), (253,127,[1_1|2]), (253,290,[1_1|2]), (253,299,[1_1|2]), (253,317,[1_1|2]), (253,335,[1_1|2]), (253,344,[1_1|2]), (253,353,[1_1|2]), (253,362,[1_1|2]), (253,506,[1_1|2]), (253,318,[1_1|2]), (253,363,[1_1|2]), (253,308,[4_1|2]), (253,326,[5_1|2]), (253,371,[5_1|2]), (254,255,[0_1|2]), (255,256,[4_1|2]), (256,257,[5_1|2]), (257,258,[2_1|2]), (258,259,[2_1|2]), (259,260,[0_1|2]), (260,261,[3_1|2]), (261,262,[1_1|2]), (262,127,[1_1|2]), (262,290,[1_1|2]), (262,299,[1_1|2]), (262,317,[1_1|2]), (262,335,[1_1|2]), (262,344,[1_1|2]), (262,353,[1_1|2]), (262,362,[1_1|2]), (262,506,[1_1|2]), (262,318,[1_1|2]), (262,363,[1_1|2]), (262,308,[4_1|2]), (262,326,[5_1|2]), (262,371,[5_1|2]), (263,264,[3_1|2]), (264,265,[3_1|2]), (265,266,[5_1|2]), (266,267,[5_1|2]), (267,268,[5_1|2]), (268,269,[2_1|2]), (269,270,[4_1|2]), (270,271,[2_1|2]), (271,127,[3_1|2]), (271,182,[3_1|2, 4_1|2]), (271,263,[3_1|2]), (271,308,[3_1|2]), (271,461,[3_1|2]), (271,497,[3_1|2]), (271,515,[3_1|2]), (271,533,[3_1|2]), (271,542,[3_1|2]), (271,551,[3_1|2]), (271,569,[3_1|2]), (271,336,[3_1|2]), (271,507,[3_1|2]), (271,128,[0_1|2]), (271,137,[3_1|2]), (271,146,[3_1|2]), (271,155,[3_1|2]), (271,164,[0_1|2]), 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(514,218,[2_1|2]), (514,227,[3_1|2]), (514,236,[3_1|2]), (515,516,[4_1|2]), (516,517,[2_1|2]), (517,518,[3_1|2]), (518,519,[5_1|2]), (519,520,[1_1|2]), (520,521,[0_1|2]), (521,522,[4_1|2]), (522,523,[5_1|2]), (522,398,[5_1|2]), (522,407,[5_1|2]), (523,127,[5_1|2]), (523,326,[5_1|2]), (523,371,[5_1|2]), (523,389,[5_1|2]), (523,398,[5_1|2]), (523,407,[5_1|2]), (523,452,[5_1|2]), (523,479,[5_1|2]), (523,488,[5_1|2]), (523,327,[5_1|2]), (523,453,[5_1|2]), (523,380,[0_1|2]), (524,525,[2_1|2]), (525,526,[1_1|2]), (526,527,[5_1|2]), (527,528,[0_1|2]), (528,529,[4_1|2]), (529,530,[5_1|2]), (530,531,[2_1|2]), (531,532,[2_1|2]), (531,443,[2_1|2]), (532,127,[2_1|2]), (532,326,[2_1|2]), (532,371,[2_1|2]), (532,389,[2_1|2]), (532,398,[2_1|2]), (532,407,[2_1|2]), (532,452,[2_1|2, 5_1|2]), (532,479,[2_1|2]), (532,488,[2_1|2]), (532,416,[3_1|2]), (532,425,[2_1|2]), (532,434,[3_1|2]), (532,443,[2_1|2]), (533,534,[1_1|2]), (534,535,[1_1|2]), (535,536,[2_1|2]), (536,537,[2_1|2]), (537,538,[3_1|2]), (538,539,[2_1|2]), (539,540,[3_1|2]), (540,541,[3_1|2]), (541,127,[2_1|2]), (541,137,[2_1|2]), (541,146,[2_1|2]), (541,155,[2_1|2]), (541,200,[2_1|2]), (541,209,[2_1|2]), (541,227,[2_1|2]), (541,236,[2_1|2]), (541,416,[2_1|2, 3_1|2]), (541,434,[2_1|2, 3_1|2]), (541,435,[2_1|2]), (541,301,[2_1|2]), (541,425,[2_1|2]), (541,443,[2_1|2]), (541,452,[5_1|2]), (542,543,[1_1|2]), (543,544,[3_1|2]), (544,545,[3_1|2]), (545,546,[4_1|2]), (546,547,[1_1|2]), (547,548,[1_1|2]), (548,549,[1_1|2]), (549,550,[1_1|2]), (550,127,[1_1|2]), (550,326,[1_1|2, 5_1|2]), (550,371,[1_1|2, 5_1|2]), (550,389,[1_1|2]), (550,398,[1_1|2]), (550,407,[1_1|2]), (550,452,[1_1|2]), (550,479,[1_1|2]), (550,488,[1_1|2]), (550,290,[1_1|2]), (550,299,[1_1|2]), (550,308,[4_1|2]), (550,317,[1_1|2]), (550,335,[1_1|2]), (550,344,[1_1|2]), (550,353,[1_1|2]), (550,362,[1_1|2]), (551,552,[5_1|2]), (552,553,[0_1|2]), (553,554,[2_1|2]), (554,555,[2_1|2]), (555,556,[3_1|2]), (556,557,[4_1|2]), (557,558,[4_1|2]), (558,559,[2_1|2]), (558,425,[2_1|2]), (559,127,[0_1|2]), (559,128,[0_1|2]), (559,164,[0_1|2]), (559,173,[0_1|2]), (559,245,[0_1|2]), (559,281,[0_1|2]), (559,380,[0_1|2]), (559,560,[0_1|2]), (559,309,[0_1|2]), (559,571,[0_1|2]), (559,254,[2_1|2]), (559,263,[4_1|2]), (559,272,[2_1|2]), (560,561,[0_1|2]), (561,562,[3_1|2]), (562,563,[1_1|2]), (563,564,[4_1|2]), (564,565,[3_1|2]), (565,566,[3_1|2]), (566,567,[5_1|2]), (566,407,[5_1|2]), (567,568,[5_1|2]), (567,398,[5_1|2]), (567,407,[5_1|2]), (568,127,[5_1|2]), (568,290,[5_1|2]), (568,299,[5_1|2]), (568,317,[5_1|2]), (568,335,[5_1|2]), (568,344,[5_1|2]), (568,353,[5_1|2]), (568,362,[5_1|2]), (568,506,[5_1|2]), (568,380,[0_1|2]), (568,389,[5_1|2]), (568,398,[5_1|2]), (568,407,[5_1|2]), (569,570,[4_1|2]), (570,571,[0_1|2]), (571,572,[0_1|2]), (572,573,[5_1|2]), (573,574,[1_1|2]), (574,575,[3_1|2]), (575,576,[2_1|2]), (576,577,[1_1|2]), (577,127,[2_1|2]), (577,290,[2_1|2]), (577,299,[2_1|2]), (577,317,[2_1|2]), (577,335,[2_1|2]), (577,344,[2_1|2]), (577,353,[2_1|2]), (577,362,[2_1|2]), (577,506,[2_1|2]), (577,534,[2_1|2]), (577,543,[2_1|2]), (577,416,[3_1|2]), (577,425,[2_1|2]), (577,434,[3_1|2]), (577,443,[2_1|2]), (577,452,[5_1|2]), (578,579,[5_1|3]), (579,580,[4_1|3]), (580,581,[2_1|3]), (581,582,[5_1|3]), (582,583,[2_1|3]), (583,584,[4_1|3]), (584,585,[5_1|3]), (585,586,[2_1|3]), (586,435,[3_1|3]), (587,588,[3_1|3]), (588,589,[5_1|3]), (589,590,[2_1|3]), (590,591,[0_1|3]), (591,592,[2_1|3]), (592,593,[2_1|3]), (593,594,[2_1|3]), (594,595,[5_1|3]), (595,337,[4_1|3])}" ---------------------------------------- (8) BOUNDS(1, n^1)