/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# AProVE Commit ID: 794c25de1cacf0d048858bcd21c9a779e1221865 marcel 20200619 unpublished dirty The Derivational Complexity (innermost) of the given DCpxTrs could be proven to be BOUNDS(1, n^1).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), 66 ms] (4) CpxRelTRS (5) RelTrsToTrsProof [UPPER BOUND(ID), 0 ms] (6) CpxTRS (7) CpxTrsMatchBoundsProof [FINISHED, 215 ms] (8) BOUNDS(1, n^1) ---------------------------------------- (0) Obligation: The Derivational Complexity (innermost) of the given DCpxTrs could be proven to be BOUNDS(1, n^1). The TRS R consists of the following rules: 0(4(2(x1))) -> 5(3(3(3(5(0(3(1(1(3(x1)))))))))) 2(3(0(4(x1)))) -> 2(3(3(5(3(1(1(5(3(2(x1)))))))))) 3(0(0(4(x1)))) -> 3(0(3(4(3(0(3(0(3(2(x1)))))))))) 1(1(0(0(2(x1))))) -> 1(1(5(0(4(4(1(4(1(2(x1)))))))))) 1(2(0(3(2(x1))))) -> 4(2(0(3(4(3(4(3(5(3(x1)))))))))) 4(0(5(3(2(x1))))) -> 2(4(1(3(1(4(1(2(3(2(x1)))))))))) 5(2(0(0(4(x1))))) -> 5(3(0(3(5(3(0(3(0(2(x1)))))))))) 5(4(2(0(0(x1))))) -> 5(4(5(0(1(3(5(3(1(1(x1)))))))))) 0(1(0(0(0(0(x1)))))) -> 0(2(2(5(0(1(5(5(2(1(x1)))))))))) 1(2(5(3(0(0(x1)))))) -> 4(3(0(5(0(2(4(3(3(5(x1)))))))))) 1(3(2(4(1(0(x1)))))) -> 4(3(2(1(2(4(4(1(5(0(x1)))))))))) 1(3(4(0(0(0(x1)))))) -> 1(5(3(2(2(3(3(1(4(1(x1)))))))))) 2(0(2(0(0(0(x1)))))) -> 2(5(1(0(1(3(1(3(0(0(x1)))))))))) 2(4(0(4(1(0(x1)))))) -> 2(1(4(1(5(2(5(0(4(1(x1)))))))))) 3(0(0(0(0(1(x1)))))) -> 2(3(3(0(5(1(5(1(0(1(x1)))))))))) 3(0(0(1(5(2(x1)))))) -> 2(4(4(4(1(4(1(0(1(3(x1)))))))))) 3(2(4(1(0(5(x1)))))) -> 3(3(3(1(1(4(4(1(0(5(x1)))))))))) 3(3(4(0(0(0(x1)))))) -> 3(0(3(3(3(4(3(3(0(0(x1)))))))))) 4(3(2(0(0(5(x1)))))) -> 1(0(5(0(2(4(1(3(0(5(x1)))))))))) 4(5(3(0(1(0(x1)))))) -> 4(0(3(1(3(1(0(4(2(1(x1)))))))))) 5(1(2(0(0(4(x1)))))) -> 5(3(3(5(1(0(3(5(2(2(x1)))))))))) 0(3(3(0(0(2(0(x1))))))) -> 0(3(3(1(1(3(5(4(3(0(x1)))))))))) 0(5(4(0(0(1(0(x1))))))) -> 4(4(4(4(1(4(5(1(1(0(x1)))))))))) 1(0(0(4(4(0(2(x1))))))) -> 5(4(5(5(0(4(5(2(2(4(x1)))))))))) 1(2(0(0(5(1(2(x1))))))) -> 4(2(4(0(3(5(3(0(4(2(x1)))))))))) 1(3(2(4(4(2(0(x1))))))) -> 1(1(3(1(5(5(2(1(3(0(x1)))))))))) 1(3(4(0(0(0(2(x1))))))) -> 0(1(2(1(4(1(3(1(2(4(x1)))))))))) 2(0(0(0(1(4(5(x1))))))) -> 5(0(4(0(2(5(4(5(5(4(x1)))))))))) 2(0(1(0(0(0(2(x1))))))) -> 3(2(3(1(3(0(3(0(2(4(x1)))))))))) 2(0(1(0(0(5(4(x1))))))) -> 2(4(1(2(2(0(5(0(1(4(x1)))))))))) 2(0(4(5(3(2(0(x1))))))) -> 2(3(2(3(1(0(3(0(3(4(x1)))))))))) 2(0(5(1(3(1(2(x1))))))) -> 2(3(2(5(5(1(2(3(3(0(x1)))))))))) 2(0(5(1(3(3(2(x1))))))) -> 3(4(3(3(3(4(4(1(4(2(x1)))))))))) 2(2(3(0(0(2(0(x1))))))) -> 2(1(5(0(4(5(2(3(0(0(x1)))))))))) 2(2(4(4(0(0(4(x1))))))) -> 2(3(3(4(5(5(0(4(0(2(x1)))))))))) 2(5(2(0(1(0(4(x1))))))) -> 3(4(5(0(0(3(1(3(0(4(x1)))))))))) 3(0(0(3(3(1(2(x1))))))) -> 3(5(2(5(1(2(1(4(1(2(x1)))))))))) 3(0(0(5(3(1(2(x1))))))) -> 3(1(5(4(3(0(4(1(4(4(x1)))))))))) 3(2(0(2(2(0(5(x1))))))) -> 3(2(0(1(3(4(3(4(1(5(x1)))))))))) 3(2(2(4(1(0(0(x1))))))) -> 3(5(0(4(5(0(4(0(3(1(x1)))))))))) 3(2(5(0(0(0(0(x1))))))) -> 2(4(5(5(5(1(3(5(4(1(x1)))))))))) 3(4(1(0(0(0(1(x1))))))) -> 3(2(4(5(0(2(4(3(3(1(x1)))))))))) 3(4(1(1(4(1(3(x1))))))) -> 3(5(1(0(5(0(1(3(1(5(x1)))))))))) 4(0(0(3(4(4(5(x1))))))) -> 2(4(1(3(1(3(4(2(2(4(x1)))))))))) 4(4(0(2(0(0(0(x1))))))) -> 0(2(0(3(0(4(1(3(0(1(x1)))))))))) 5(1(2(0(0(1(2(x1))))))) -> 0(2(5(4(1(5(0(2(2(4(x1)))))))))) 5(2(0(0(1(1(1(x1))))))) -> 0(2(1(1(0(0(3(1(1(1(x1)))))))))) 5(2(0(4(3(4(4(x1))))))) -> 5(4(1(0(5(0(2(4(4(4(x1)))))))))) 5(2(4(0(0(2(0(x1))))))) -> 5(2(1(4(5(3(0(2(1(1(x1)))))))))) 5(4(0(1(4(2(5(x1))))))) -> 5(2(4(4(3(3(3(0(4(5(x1)))))))))) S is empty. Rewrite Strategy: INNERMOST ---------------------------------------- (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_2(x_1)) -> 2(encArg(x_1)) encArg(cons_3(x_1)) -> 3(encArg(x_1)) encArg(cons_1(x_1)) -> 1(encArg(x_1)) encArg(cons_4(x_1)) -> 4(encArg(x_1)) encArg(cons_5(x_1)) -> 5(encArg(x_1)) encode_0(x_1) -> 0(encArg(x_1)) encode_4(x_1) -> 4(encArg(x_1)) encode_2(x_1) -> 2(encArg(x_1)) encode_5(x_1) -> 5(encArg(x_1)) encode_3(x_1) -> 3(encArg(x_1)) encode_1(x_1) -> 1(encArg(x_1)) ---------------------------------------- (2) Obligation: The Runtime Complexity (innermost) of the given CpxRelTRS could be proven to be BOUNDS(1, n^1). The TRS R consists of the following rules: 0(4(2(x1))) -> 5(3(3(3(5(0(3(1(1(3(x1)))))))))) 2(3(0(4(x1)))) -> 2(3(3(5(3(1(1(5(3(2(x1)))))))))) 3(0(0(4(x1)))) -> 3(0(3(4(3(0(3(0(3(2(x1)))))))))) 1(1(0(0(2(x1))))) -> 1(1(5(0(4(4(1(4(1(2(x1)))))))))) 1(2(0(3(2(x1))))) -> 4(2(0(3(4(3(4(3(5(3(x1)))))))))) 4(0(5(3(2(x1))))) -> 2(4(1(3(1(4(1(2(3(2(x1)))))))))) 5(2(0(0(4(x1))))) -> 5(3(0(3(5(3(0(3(0(2(x1)))))))))) 5(4(2(0(0(x1))))) -> 5(4(5(0(1(3(5(3(1(1(x1)))))))))) 0(1(0(0(0(0(x1)))))) -> 0(2(2(5(0(1(5(5(2(1(x1)))))))))) 1(2(5(3(0(0(x1)))))) -> 4(3(0(5(0(2(4(3(3(5(x1)))))))))) 1(3(2(4(1(0(x1)))))) -> 4(3(2(1(2(4(4(1(5(0(x1)))))))))) 1(3(4(0(0(0(x1)))))) -> 1(5(3(2(2(3(3(1(4(1(x1)))))))))) 2(0(2(0(0(0(x1)))))) -> 2(5(1(0(1(3(1(3(0(0(x1)))))))))) 2(4(0(4(1(0(x1)))))) -> 2(1(4(1(5(2(5(0(4(1(x1)))))))))) 3(0(0(0(0(1(x1)))))) -> 2(3(3(0(5(1(5(1(0(1(x1)))))))))) 3(0(0(1(5(2(x1)))))) -> 2(4(4(4(1(4(1(0(1(3(x1)))))))))) 3(2(4(1(0(5(x1)))))) -> 3(3(3(1(1(4(4(1(0(5(x1)))))))))) 3(3(4(0(0(0(x1)))))) -> 3(0(3(3(3(4(3(3(0(0(x1)))))))))) 4(3(2(0(0(5(x1)))))) -> 1(0(5(0(2(4(1(3(0(5(x1)))))))))) 4(5(3(0(1(0(x1)))))) -> 4(0(3(1(3(1(0(4(2(1(x1)))))))))) 5(1(2(0(0(4(x1)))))) -> 5(3(3(5(1(0(3(5(2(2(x1)))))))))) 0(3(3(0(0(2(0(x1))))))) -> 0(3(3(1(1(3(5(4(3(0(x1)))))))))) 0(5(4(0(0(1(0(x1))))))) -> 4(4(4(4(1(4(5(1(1(0(x1)))))))))) 1(0(0(4(4(0(2(x1))))))) -> 5(4(5(5(0(4(5(2(2(4(x1)))))))))) 1(2(0(0(5(1(2(x1))))))) -> 4(2(4(0(3(5(3(0(4(2(x1)))))))))) 1(3(2(4(4(2(0(x1))))))) -> 1(1(3(1(5(5(2(1(3(0(x1)))))))))) 1(3(4(0(0(0(2(x1))))))) -> 0(1(2(1(4(1(3(1(2(4(x1)))))))))) 2(0(0(0(1(4(5(x1))))))) -> 5(0(4(0(2(5(4(5(5(4(x1)))))))))) 2(0(1(0(0(0(2(x1))))))) -> 3(2(3(1(3(0(3(0(2(4(x1)))))))))) 2(0(1(0(0(5(4(x1))))))) -> 2(4(1(2(2(0(5(0(1(4(x1)))))))))) 2(0(4(5(3(2(0(x1))))))) -> 2(3(2(3(1(0(3(0(3(4(x1)))))))))) 2(0(5(1(3(1(2(x1))))))) -> 2(3(2(5(5(1(2(3(3(0(x1)))))))))) 2(0(5(1(3(3(2(x1))))))) -> 3(4(3(3(3(4(4(1(4(2(x1)))))))))) 2(2(3(0(0(2(0(x1))))))) -> 2(1(5(0(4(5(2(3(0(0(x1)))))))))) 2(2(4(4(0(0(4(x1))))))) -> 2(3(3(4(5(5(0(4(0(2(x1)))))))))) 2(5(2(0(1(0(4(x1))))))) -> 3(4(5(0(0(3(1(3(0(4(x1)))))))))) 3(0(0(3(3(1(2(x1))))))) -> 3(5(2(5(1(2(1(4(1(2(x1)))))))))) 3(0(0(5(3(1(2(x1))))))) -> 3(1(5(4(3(0(4(1(4(4(x1)))))))))) 3(2(0(2(2(0(5(x1))))))) -> 3(2(0(1(3(4(3(4(1(5(x1)))))))))) 3(2(2(4(1(0(0(x1))))))) -> 3(5(0(4(5(0(4(0(3(1(x1)))))))))) 3(2(5(0(0(0(0(x1))))))) -> 2(4(5(5(5(1(3(5(4(1(x1)))))))))) 3(4(1(0(0(0(1(x1))))))) -> 3(2(4(5(0(2(4(3(3(1(x1)))))))))) 3(4(1(1(4(1(3(x1))))))) -> 3(5(1(0(5(0(1(3(1(5(x1)))))))))) 4(0(0(3(4(4(5(x1))))))) -> 2(4(1(3(1(3(4(2(2(4(x1)))))))))) 4(4(0(2(0(0(0(x1))))))) -> 0(2(0(3(0(4(1(3(0(1(x1)))))))))) 5(1(2(0(0(1(2(x1))))))) -> 0(2(5(4(1(5(0(2(2(4(x1)))))))))) 5(2(0(0(1(1(1(x1))))))) -> 0(2(1(1(0(0(3(1(1(1(x1)))))))))) 5(2(0(4(3(4(4(x1))))))) -> 5(4(1(0(5(0(2(4(4(4(x1)))))))))) 5(2(4(0(0(2(0(x1))))))) -> 5(2(1(4(5(3(0(2(1(1(x1)))))))))) 5(4(0(1(4(2(5(x1))))))) -> 5(2(4(4(3(3(3(0(4(5(x1)))))))))) The (relative) TRS S consists of the following rules: encArg(cons_0(x_1)) -> 0(encArg(x_1)) encArg(cons_2(x_1)) -> 2(encArg(x_1)) encArg(cons_3(x_1)) -> 3(encArg(x_1)) encArg(cons_1(x_1)) -> 1(encArg(x_1)) encArg(cons_4(x_1)) -> 4(encArg(x_1)) encArg(cons_5(x_1)) -> 5(encArg(x_1)) encode_0(x_1) -> 0(encArg(x_1)) encode_4(x_1) -> 4(encArg(x_1)) encode_2(x_1) -> 2(encArg(x_1)) encode_5(x_1) -> 5(encArg(x_1)) encode_3(x_1) -> 3(encArg(x_1)) encode_1(x_1) -> 1(encArg(x_1)) Rewrite Strategy: INNERMOST ---------------------------------------- (3) SInnermostTerminationProof (BOTH CONCRETE BOUNDS(ID, ID)) proved innermost termination of relative rules ---------------------------------------- (4) Obligation: The Runtime Complexity (innermost) of the given CpxRelTRS could be proven to be BOUNDS(1, n^1). The TRS R consists of the following rules: 0(4(2(x1))) -> 5(3(3(3(5(0(3(1(1(3(x1)))))))))) 2(3(0(4(x1)))) -> 2(3(3(5(3(1(1(5(3(2(x1)))))))))) 3(0(0(4(x1)))) -> 3(0(3(4(3(0(3(0(3(2(x1)))))))))) 1(1(0(0(2(x1))))) -> 1(1(5(0(4(4(1(4(1(2(x1)))))))))) 1(2(0(3(2(x1))))) -> 4(2(0(3(4(3(4(3(5(3(x1)))))))))) 4(0(5(3(2(x1))))) -> 2(4(1(3(1(4(1(2(3(2(x1)))))))))) 5(2(0(0(4(x1))))) -> 5(3(0(3(5(3(0(3(0(2(x1)))))))))) 5(4(2(0(0(x1))))) -> 5(4(5(0(1(3(5(3(1(1(x1)))))))))) 0(1(0(0(0(0(x1)))))) -> 0(2(2(5(0(1(5(5(2(1(x1)))))))))) 1(2(5(3(0(0(x1)))))) -> 4(3(0(5(0(2(4(3(3(5(x1)))))))))) 1(3(2(4(1(0(x1)))))) -> 4(3(2(1(2(4(4(1(5(0(x1)))))))))) 1(3(4(0(0(0(x1)))))) -> 1(5(3(2(2(3(3(1(4(1(x1)))))))))) 2(0(2(0(0(0(x1)))))) -> 2(5(1(0(1(3(1(3(0(0(x1)))))))))) 2(4(0(4(1(0(x1)))))) -> 2(1(4(1(5(2(5(0(4(1(x1)))))))))) 3(0(0(0(0(1(x1)))))) -> 2(3(3(0(5(1(5(1(0(1(x1)))))))))) 3(0(0(1(5(2(x1)))))) -> 2(4(4(4(1(4(1(0(1(3(x1)))))))))) 3(2(4(1(0(5(x1)))))) -> 3(3(3(1(1(4(4(1(0(5(x1)))))))))) 3(3(4(0(0(0(x1)))))) -> 3(0(3(3(3(4(3(3(0(0(x1)))))))))) 4(3(2(0(0(5(x1)))))) -> 1(0(5(0(2(4(1(3(0(5(x1)))))))))) 4(5(3(0(1(0(x1)))))) -> 4(0(3(1(3(1(0(4(2(1(x1)))))))))) 5(1(2(0(0(4(x1)))))) -> 5(3(3(5(1(0(3(5(2(2(x1)))))))))) 0(3(3(0(0(2(0(x1))))))) -> 0(3(3(1(1(3(5(4(3(0(x1)))))))))) 0(5(4(0(0(1(0(x1))))))) -> 4(4(4(4(1(4(5(1(1(0(x1)))))))))) 1(0(0(4(4(0(2(x1))))))) -> 5(4(5(5(0(4(5(2(2(4(x1)))))))))) 1(2(0(0(5(1(2(x1))))))) -> 4(2(4(0(3(5(3(0(4(2(x1)))))))))) 1(3(2(4(4(2(0(x1))))))) -> 1(1(3(1(5(5(2(1(3(0(x1)))))))))) 1(3(4(0(0(0(2(x1))))))) -> 0(1(2(1(4(1(3(1(2(4(x1)))))))))) 2(0(0(0(1(4(5(x1))))))) -> 5(0(4(0(2(5(4(5(5(4(x1)))))))))) 2(0(1(0(0(0(2(x1))))))) -> 3(2(3(1(3(0(3(0(2(4(x1)))))))))) 2(0(1(0(0(5(4(x1))))))) -> 2(4(1(2(2(0(5(0(1(4(x1)))))))))) 2(0(4(5(3(2(0(x1))))))) -> 2(3(2(3(1(0(3(0(3(4(x1)))))))))) 2(0(5(1(3(1(2(x1))))))) -> 2(3(2(5(5(1(2(3(3(0(x1)))))))))) 2(0(5(1(3(3(2(x1))))))) -> 3(4(3(3(3(4(4(1(4(2(x1)))))))))) 2(2(3(0(0(2(0(x1))))))) -> 2(1(5(0(4(5(2(3(0(0(x1)))))))))) 2(2(4(4(0(0(4(x1))))))) -> 2(3(3(4(5(5(0(4(0(2(x1)))))))))) 2(5(2(0(1(0(4(x1))))))) -> 3(4(5(0(0(3(1(3(0(4(x1)))))))))) 3(0(0(3(3(1(2(x1))))))) -> 3(5(2(5(1(2(1(4(1(2(x1)))))))))) 3(0(0(5(3(1(2(x1))))))) -> 3(1(5(4(3(0(4(1(4(4(x1)))))))))) 3(2(0(2(2(0(5(x1))))))) -> 3(2(0(1(3(4(3(4(1(5(x1)))))))))) 3(2(2(4(1(0(0(x1))))))) -> 3(5(0(4(5(0(4(0(3(1(x1)))))))))) 3(2(5(0(0(0(0(x1))))))) -> 2(4(5(5(5(1(3(5(4(1(x1)))))))))) 3(4(1(0(0(0(1(x1))))))) -> 3(2(4(5(0(2(4(3(3(1(x1)))))))))) 3(4(1(1(4(1(3(x1))))))) -> 3(5(1(0(5(0(1(3(1(5(x1)))))))))) 4(0(0(3(4(4(5(x1))))))) -> 2(4(1(3(1(3(4(2(2(4(x1)))))))))) 4(4(0(2(0(0(0(x1))))))) -> 0(2(0(3(0(4(1(3(0(1(x1)))))))))) 5(1(2(0(0(1(2(x1))))))) -> 0(2(5(4(1(5(0(2(2(4(x1)))))))))) 5(2(0(0(1(1(1(x1))))))) -> 0(2(1(1(0(0(3(1(1(1(x1)))))))))) 5(2(0(4(3(4(4(x1))))))) -> 5(4(1(0(5(0(2(4(4(4(x1)))))))))) 5(2(4(0(0(2(0(x1))))))) -> 5(2(1(4(5(3(0(2(1(1(x1)))))))))) 5(4(0(1(4(2(5(x1))))))) -> 5(2(4(4(3(3(3(0(4(5(x1)))))))))) The (relative) TRS S consists of the following rules: encArg(cons_0(x_1)) -> 0(encArg(x_1)) encArg(cons_2(x_1)) -> 2(encArg(x_1)) encArg(cons_3(x_1)) -> 3(encArg(x_1)) encArg(cons_1(x_1)) -> 1(encArg(x_1)) encArg(cons_4(x_1)) -> 4(encArg(x_1)) encArg(cons_5(x_1)) -> 5(encArg(x_1)) encode_0(x_1) -> 0(encArg(x_1)) encode_4(x_1) -> 4(encArg(x_1)) encode_2(x_1) -> 2(encArg(x_1)) encode_5(x_1) -> 5(encArg(x_1)) encode_3(x_1) -> 3(encArg(x_1)) encode_1(x_1) -> 1(encArg(x_1)) Rewrite Strategy: INNERMOST ---------------------------------------- (5) RelTrsToTrsProof (UPPER BOUND(ID)) transformed relative TRS to TRS ---------------------------------------- (6) Obligation: The Runtime Complexity (innermost) of the given CpxTRS could be proven to be BOUNDS(1, n^1). The TRS R consists of the following rules: 0(4(2(x1))) -> 5(3(3(3(5(0(3(1(1(3(x1)))))))))) 2(3(0(4(x1)))) -> 2(3(3(5(3(1(1(5(3(2(x1)))))))))) 3(0(0(4(x1)))) -> 3(0(3(4(3(0(3(0(3(2(x1)))))))))) 1(1(0(0(2(x1))))) -> 1(1(5(0(4(4(1(4(1(2(x1)))))))))) 1(2(0(3(2(x1))))) -> 4(2(0(3(4(3(4(3(5(3(x1)))))))))) 4(0(5(3(2(x1))))) -> 2(4(1(3(1(4(1(2(3(2(x1)))))))))) 5(2(0(0(4(x1))))) -> 5(3(0(3(5(3(0(3(0(2(x1)))))))))) 5(4(2(0(0(x1))))) -> 5(4(5(0(1(3(5(3(1(1(x1)))))))))) 0(1(0(0(0(0(x1)))))) -> 0(2(2(5(0(1(5(5(2(1(x1)))))))))) 1(2(5(3(0(0(x1)))))) -> 4(3(0(5(0(2(4(3(3(5(x1)))))))))) 1(3(2(4(1(0(x1)))))) -> 4(3(2(1(2(4(4(1(5(0(x1)))))))))) 1(3(4(0(0(0(x1)))))) -> 1(5(3(2(2(3(3(1(4(1(x1)))))))))) 2(0(2(0(0(0(x1)))))) -> 2(5(1(0(1(3(1(3(0(0(x1)))))))))) 2(4(0(4(1(0(x1)))))) -> 2(1(4(1(5(2(5(0(4(1(x1)))))))))) 3(0(0(0(0(1(x1)))))) -> 2(3(3(0(5(1(5(1(0(1(x1)))))))))) 3(0(0(1(5(2(x1)))))) -> 2(4(4(4(1(4(1(0(1(3(x1)))))))))) 3(2(4(1(0(5(x1)))))) -> 3(3(3(1(1(4(4(1(0(5(x1)))))))))) 3(3(4(0(0(0(x1)))))) -> 3(0(3(3(3(4(3(3(0(0(x1)))))))))) 4(3(2(0(0(5(x1)))))) -> 1(0(5(0(2(4(1(3(0(5(x1)))))))))) 4(5(3(0(1(0(x1)))))) -> 4(0(3(1(3(1(0(4(2(1(x1)))))))))) 5(1(2(0(0(4(x1)))))) -> 5(3(3(5(1(0(3(5(2(2(x1)))))))))) 0(3(3(0(0(2(0(x1))))))) -> 0(3(3(1(1(3(5(4(3(0(x1)))))))))) 0(5(4(0(0(1(0(x1))))))) -> 4(4(4(4(1(4(5(1(1(0(x1)))))))))) 1(0(0(4(4(0(2(x1))))))) -> 5(4(5(5(0(4(5(2(2(4(x1)))))))))) 1(2(0(0(5(1(2(x1))))))) -> 4(2(4(0(3(5(3(0(4(2(x1)))))))))) 1(3(2(4(4(2(0(x1))))))) -> 1(1(3(1(5(5(2(1(3(0(x1)))))))))) 1(3(4(0(0(0(2(x1))))))) -> 0(1(2(1(4(1(3(1(2(4(x1)))))))))) 2(0(0(0(1(4(5(x1))))))) -> 5(0(4(0(2(5(4(5(5(4(x1)))))))))) 2(0(1(0(0(0(2(x1))))))) -> 3(2(3(1(3(0(3(0(2(4(x1)))))))))) 2(0(1(0(0(5(4(x1))))))) -> 2(4(1(2(2(0(5(0(1(4(x1)))))))))) 2(0(4(5(3(2(0(x1))))))) -> 2(3(2(3(1(0(3(0(3(4(x1)))))))))) 2(0(5(1(3(1(2(x1))))))) -> 2(3(2(5(5(1(2(3(3(0(x1)))))))))) 2(0(5(1(3(3(2(x1))))))) -> 3(4(3(3(3(4(4(1(4(2(x1)))))))))) 2(2(3(0(0(2(0(x1))))))) -> 2(1(5(0(4(5(2(3(0(0(x1)))))))))) 2(2(4(4(0(0(4(x1))))))) -> 2(3(3(4(5(5(0(4(0(2(x1)))))))))) 2(5(2(0(1(0(4(x1))))))) -> 3(4(5(0(0(3(1(3(0(4(x1)))))))))) 3(0(0(3(3(1(2(x1))))))) -> 3(5(2(5(1(2(1(4(1(2(x1)))))))))) 3(0(0(5(3(1(2(x1))))))) -> 3(1(5(4(3(0(4(1(4(4(x1)))))))))) 3(2(0(2(2(0(5(x1))))))) -> 3(2(0(1(3(4(3(4(1(5(x1)))))))))) 3(2(2(4(1(0(0(x1))))))) -> 3(5(0(4(5(0(4(0(3(1(x1)))))))))) 3(2(5(0(0(0(0(x1))))))) -> 2(4(5(5(5(1(3(5(4(1(x1)))))))))) 3(4(1(0(0(0(1(x1))))))) -> 3(2(4(5(0(2(4(3(3(1(x1)))))))))) 3(4(1(1(4(1(3(x1))))))) -> 3(5(1(0(5(0(1(3(1(5(x1)))))))))) 4(0(0(3(4(4(5(x1))))))) -> 2(4(1(3(1(3(4(2(2(4(x1)))))))))) 4(4(0(2(0(0(0(x1))))))) -> 0(2(0(3(0(4(1(3(0(1(x1)))))))))) 5(1(2(0(0(1(2(x1))))))) -> 0(2(5(4(1(5(0(2(2(4(x1)))))))))) 5(2(0(0(1(1(1(x1))))))) -> 0(2(1(1(0(0(3(1(1(1(x1)))))))))) 5(2(0(4(3(4(4(x1))))))) -> 5(4(1(0(5(0(2(4(4(4(x1)))))))))) 5(2(4(0(0(2(0(x1))))))) -> 5(2(1(4(5(3(0(2(1(1(x1)))))))))) 5(4(0(1(4(2(5(x1))))))) -> 5(2(4(4(3(3(3(0(4(5(x1)))))))))) encArg(cons_0(x_1)) -> 0(encArg(x_1)) encArg(cons_2(x_1)) -> 2(encArg(x_1)) encArg(cons_3(x_1)) -> 3(encArg(x_1)) encArg(cons_1(x_1)) -> 1(encArg(x_1)) encArg(cons_4(x_1)) -> 4(encArg(x_1)) encArg(cons_5(x_1)) -> 5(encArg(x_1)) encode_0(x_1) -> 0(encArg(x_1)) encode_4(x_1) -> 4(encArg(x_1)) encode_2(x_1) -> 2(encArg(x_1)) encode_5(x_1) -> 5(encArg(x_1)) encode_3(x_1) -> 3(encArg(x_1)) encode_1(x_1) -> 1(encArg(x_1)) S is empty. Rewrite Strategy: INNERMOST ---------------------------------------- (7) CpxTrsMatchBoundsProof (FINISHED) A linear upper bound on the runtime complexity of the TRS R could be shown with a Match Bound [MATCHBOUNDS1,MATCHBOUNDS2] of 3. The certificate found is represented by the following graph. "[138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 149, 150, 151, 152, 153, 154, 155, 156, 157, 158, 159, 160, 161, 162, 163, 164, 165, 166, 167, 168, 169, 170, 171, 172, 173, 174, 175, 176, 177, 178, 179, 180, 181, 182, 183, 184, 185, 186, 187, 188, 189, 190, 191, 192, 193, 194, 195, 196, 197, 198, 199, 200, 201, 202, 203, 204, 205, 206, 207, 208, 209, 210, 211, 212, 213, 214, 215, 216, 217, 218, 219, 220, 221, 222, 223, 224, 225, 226, 227, 228, 229, 230, 231, 232, 233, 234, 235, 236, 237, 238, 239, 240, 241, 242, 243, 244, 245, 246, 247, 248, 249, 250, 251, 252, 253, 254, 255, 256, 257, 258, 259, 260, 261, 262, 263, 264, 265, 266, 267, 268, 269, 270, 271, 272, 273, 274, 275, 276, 277, 278, 279, 280, 281, 282, 283, 284, 285, 286, 287, 288, 289, 290, 291, 292, 293, 294, 295, 296, 297, 298, 299, 300, 301, 302, 303, 304, 305, 306, 307, 308, 309, 310, 311, 312, 313, 314, 315, 316, 317, 318, 319, 320, 321, 322, 323, 324, 325, 326, 327, 328, 329, 330, 331, 332, 333, 334, 335, 336, 337, 338, 339, 340, 341, 342, 343, 344, 345, 346, 347, 348, 349, 350, 351, 352, 353, 354, 355, 356, 357, 358, 359, 360, 361, 362, 363, 364, 365, 366, 367, 368, 369, 370, 371, 372, 373, 374, 375, 376, 377, 378, 379, 380, 381, 382, 383, 384, 385, 386, 387, 388, 389, 390, 391, 392, 393, 394, 395, 396, 397, 398, 399, 400, 401, 402, 403, 404, 405, 406, 407, 408, 409, 410, 411, 412, 413, 414, 415, 416, 417, 418, 419, 420, 421, 422, 423, 424, 425, 426, 427, 428, 429, 430, 431, 432, 433, 434, 435, 436, 437, 438, 439, 440, 441, 442, 443, 444, 445, 446, 447, 448, 449, 450, 451, 452, 453, 454, 455, 456, 457, 458, 459, 460, 461, 462, 463, 464, 465, 466, 467, 468, 469, 470, 471, 472, 473, 474, 475, 476, 477, 478, 479, 480, 481, 482, 483, 484, 485, 486, 487, 488, 489, 490, 491, 492, 493, 494, 495, 496, 497, 498, 499, 500, 501, 502, 503, 504, 505, 506, 507, 508, 509, 510, 511, 512, 513, 514, 515, 516, 517, 518, 519, 520, 521, 522, 523, 524, 525, 526, 527, 528, 529, 530, 531, 532, 533, 534, 535, 536, 537, 538, 539, 540, 541, 542, 543, 544, 545, 546, 547, 548, 549, 550, 551, 552, 553, 554, 555, 556, 557, 558, 559, 560, 561, 562, 563, 564, 565, 566, 567, 568, 569, 570, 571, 572, 573, 574, 575, 576, 577, 578, 579, 580, 581, 582, 583, 584, 585, 586, 587, 588, 589, 590, 591, 592, 593, 594, 595, 596, 597, 598, 599, 600, 601, 602, 603, 604, 605, 606, 607, 608, 609, 610, 611, 612, 613, 614, 615, 616, 617, 618, 619, 620, 621, 622, 623, 624, 625, 626, 627, 628, 629, 630, 631, 632, 633, 634, 635, 636, 637, 638, 639, 640, 641, 642, 643, 644, 645, 646, 647, 648, 649, 650, 651, 652, 653] {(138,139,[0_1|0, 2_1|0, 3_1|0, 1_1|0, 4_1|0, 5_1|0, encArg_1|0, encode_0_1|0, encode_4_1|0, encode_2_1|0, encode_5_1|0, encode_3_1|0, encode_1_1|0]), (138,140,[0_1|1, 2_1|1, 3_1|1, 1_1|1, 4_1|1, 5_1|1]), (138,141,[5_1|2]), (138,150,[0_1|2]), (138,159,[0_1|2]), (138,168,[4_1|2]), (138,177,[2_1|2]), (138,186,[2_1|2]), (138,195,[5_1|2]), (138,204,[3_1|2]), (138,213,[2_1|2]), (138,222,[2_1|2]), (138,231,[2_1|2]), (138,240,[3_1|2]), (138,249,[2_1|2]), (138,258,[2_1|2]), (138,267,[2_1|2]), (138,276,[3_1|2]), (138,285,[3_1|2]), (138,294,[2_1|2]), (138,303,[2_1|2]), (138,312,[3_1|2]), (138,321,[3_1|2]), (138,330,[3_1|2]), (138,339,[3_1|2]), (138,348,[3_1|2]), (138,357,[2_1|2]), (138,366,[3_1|2]), (138,375,[3_1|2]), (138,384,[3_1|2]), (138,393,[1_1|2]), (138,402,[4_1|2]), (138,411,[4_1|2]), (138,420,[4_1|2]), (138,429,[4_1|2]), (138,438,[1_1|2]), (138,447,[1_1|2]), (138,456,[0_1|2]), (138,465,[5_1|2]), (138,474,[2_1|2]), (138,483,[2_1|2]), (138,492,[1_1|2]), (138,501,[4_1|2]), (138,510,[0_1|2]), (138,519,[5_1|2]), (138,528,[0_1|2]), (138,537,[5_1|2]), (138,546,[5_1|2]), (138,555,[5_1|2]), (138,564,[5_1|2]), (138,573,[5_1|2]), (138,582,[0_1|2]), (139,139,[cons_0_1|0, cons_2_1|0, cons_3_1|0, cons_1_1|0, cons_4_1|0, cons_5_1|0]), (140,139,[encArg_1|1]), (140,140,[0_1|1, 2_1|1, 3_1|1, 1_1|1, 4_1|1, 5_1|1]), (140,141,[5_1|2]), (140,150,[0_1|2]), (140,159,[0_1|2]), (140,168,[4_1|2]), (140,177,[2_1|2]), (140,186,[2_1|2]), (140,195,[5_1|2]), (140,204,[3_1|2]), (140,213,[2_1|2]), (140,222,[2_1|2]), (140,231,[2_1|2]), (140,240,[3_1|2]), (140,249,[2_1|2]), (140,258,[2_1|2]), (140,267,[2_1|2]), (140,276,[3_1|2]), (140,285,[3_1|2]), (140,294,[2_1|2]), (140,303,[2_1|2]), (140,312,[3_1|2]), (140,321,[3_1|2]), (140,330,[3_1|2]), (140,339,[3_1|2]), (140,348,[3_1|2]), (140,357,[2_1|2]), (140,366,[3_1|2]), (140,375,[3_1|2]), (140,384,[3_1|2]), (140,393,[1_1|2]), (140,402,[4_1|2]), (140,411,[4_1|2]), (140,420,[4_1|2]), (140,429,[4_1|2]), (140,438,[1_1|2]), (140,447,[1_1|2]), (140,456,[0_1|2]), (140,465,[5_1|2]), (140,474,[2_1|2]), (140,483,[2_1|2]), (140,492,[1_1|2]), (140,501,[4_1|2]), (140,510,[0_1|2]), (140,519,[5_1|2]), (140,528,[0_1|2]), (140,537,[5_1|2]), (140,546,[5_1|2]), (140,555,[5_1|2]), (140,564,[5_1|2]), (140,573,[5_1|2]), (140,582,[0_1|2]), (141,142,[3_1|2]), (142,143,[3_1|2]), (143,144,[3_1|2]), (144,145,[5_1|2]), (145,146,[0_1|2]), (146,147,[3_1|2]), (147,148,[1_1|2]), (148,149,[1_1|2]), (148,429,[4_1|2]), (148,438,[1_1|2]), (148,447,[1_1|2]), (148,456,[0_1|2]), (149,140,[3_1|2]), (149,177,[3_1|2]), (149,186,[3_1|2]), (149,213,[3_1|2]), (149,222,[3_1|2]), (149,231,[3_1|2]), (149,249,[3_1|2]), (149,258,[3_1|2]), (149,267,[3_1|2]), (149,294,[3_1|2, 2_1|2]), (149,303,[3_1|2, 2_1|2]), (149,357,[3_1|2, 2_1|2]), (149,474,[3_1|2]), (149,483,[3_1|2]), (149,403,[3_1|2]), (149,412,[3_1|2]), (149,285,[3_1|2]), (149,312,[3_1|2]), (149,321,[3_1|2]), (149,330,[3_1|2]), (149,339,[3_1|2]), (149,348,[3_1|2]), (149,366,[3_1|2]), (149,375,[3_1|2]), (149,384,[3_1|2]), (150,151,[2_1|2]), (151,152,[2_1|2]), (152,153,[5_1|2]), (153,154,[0_1|2]), (154,155,[1_1|2]), (155,156,[5_1|2]), (156,157,[5_1|2]), (157,158,[2_1|2]), (158,140,[1_1|2]), (158,150,[1_1|2]), (158,159,[1_1|2]), (158,456,[1_1|2, 0_1|2]), (158,510,[1_1|2]), (158,528,[1_1|2]), (158,582,[1_1|2]), (158,393,[1_1|2]), (158,402,[4_1|2]), (158,411,[4_1|2]), (158,420,[4_1|2]), (158,429,[4_1|2]), (158,438,[1_1|2]), (158,447,[1_1|2]), (158,465,[5_1|2]), (159,160,[3_1|2]), (160,161,[3_1|2]), (161,162,[1_1|2]), (162,163,[1_1|2]), (163,164,[3_1|2]), (164,165,[5_1|2]), (165,166,[4_1|2]), (166,167,[3_1|2]), (166,285,[3_1|2]), (166,294,[2_1|2]), (166,303,[2_1|2]), (166,312,[3_1|2]), (166,321,[3_1|2]), (167,140,[0_1|2]), (167,150,[0_1|2]), (167,159,[0_1|2]), (167,456,[0_1|2]), (167,510,[0_1|2]), (167,528,[0_1|2]), (167,582,[0_1|2]), (167,512,[0_1|2]), (167,141,[5_1|2]), (167,168,[4_1|2]), (167,591,[5_1|3]), (168,169,[4_1|2]), (169,170,[4_1|2]), (170,171,[4_1|2]), (171,172,[1_1|2]), (172,173,[4_1|2]), (173,174,[5_1|2]), (174,175,[1_1|2]), (174,393,[1_1|2]), (174,600,[1_1|3]), (175,176,[1_1|2]), (175,465,[5_1|2]), (176,140,[0_1|2]), (176,150,[0_1|2]), (176,159,[0_1|2]), (176,456,[0_1|2]), (176,510,[0_1|2]), (176,528,[0_1|2]), (176,582,[0_1|2]), (176,493,[0_1|2]), (176,141,[5_1|2]), (176,168,[4_1|2]), (176,591,[5_1|3]), (177,178,[3_1|2]), (178,179,[3_1|2]), (179,180,[5_1|2]), (180,181,[3_1|2]), (181,182,[1_1|2]), (182,183,[1_1|2]), (183,184,[5_1|2]), (184,185,[3_1|2]), (184,330,[3_1|2]), (184,339,[3_1|2]), (184,348,[3_1|2]), (184,357,[2_1|2]), (185,140,[2_1|2]), (185,168,[2_1|2]), (185,402,[2_1|2]), (185,411,[2_1|2]), (185,420,[2_1|2]), (185,429,[2_1|2]), (185,501,[2_1|2]), (185,177,[2_1|2]), (185,186,[2_1|2]), (185,195,[5_1|2]), (185,204,[3_1|2]), (185,213,[2_1|2]), (185,222,[2_1|2]), (185,231,[2_1|2]), (185,240,[3_1|2]), (185,249,[2_1|2]), (185,258,[2_1|2]), (185,267,[2_1|2]), (185,276,[3_1|2]), (186,187,[5_1|2]), (187,188,[1_1|2]), (188,189,[0_1|2]), (189,190,[1_1|2]), (190,191,[3_1|2]), (191,192,[1_1|2]), (192,193,[3_1|2]), (192,285,[3_1|2]), (192,294,[2_1|2]), (192,303,[2_1|2]), (192,312,[3_1|2]), (192,321,[3_1|2]), (192,609,[3_1|3]), (193,194,[0_1|2]), (194,140,[0_1|2]), (194,150,[0_1|2]), (194,159,[0_1|2]), (194,456,[0_1|2]), (194,510,[0_1|2]), (194,528,[0_1|2]), (194,582,[0_1|2]), (194,141,[5_1|2]), (194,168,[4_1|2]), (194,591,[5_1|3]), (195,196,[0_1|2]), (196,197,[4_1|2]), (197,198,[0_1|2]), (198,199,[2_1|2]), (199,200,[5_1|2]), (200,201,[4_1|2]), (201,202,[5_1|2]), (202,203,[5_1|2]), (202,555,[5_1|2]), (202,564,[5_1|2]), (203,140,[4_1|2]), (203,141,[4_1|2]), (203,195,[4_1|2]), (203,465,[4_1|2]), (203,519,[4_1|2]), (203,537,[4_1|2]), (203,546,[4_1|2]), (203,555,[4_1|2]), (203,564,[4_1|2]), (203,573,[4_1|2]), (203,474,[2_1|2]), (203,483,[2_1|2]), (203,492,[1_1|2]), (203,501,[4_1|2]), (203,510,[0_1|2]), (204,205,[2_1|2]), (205,206,[3_1|2]), (206,207,[1_1|2]), (207,208,[3_1|2]), (208,209,[0_1|2]), (209,210,[3_1|2]), (210,211,[0_1|2]), (211,212,[2_1|2]), (211,249,[2_1|2]), (212,140,[4_1|2]), (212,177,[4_1|2]), (212,186,[4_1|2]), (212,213,[4_1|2]), (212,222,[4_1|2]), (212,231,[4_1|2]), (212,249,[4_1|2]), (212,258,[4_1|2]), (212,267,[4_1|2]), (212,294,[4_1|2]), (212,303,[4_1|2]), (212,357,[4_1|2]), (212,474,[4_1|2, 2_1|2]), (212,483,[4_1|2, 2_1|2]), (212,151,[4_1|2]), (212,511,[4_1|2]), (212,529,[4_1|2]), (212,583,[4_1|2]), (212,492,[1_1|2]), (212,501,[4_1|2]), (212,510,[0_1|2]), (213,214,[4_1|2]), (214,215,[1_1|2]), (215,216,[2_1|2]), (216,217,[2_1|2]), (217,218,[0_1|2]), (218,219,[5_1|2]), (219,220,[0_1|2]), (220,221,[1_1|2]), (221,140,[4_1|2]), (221,168,[4_1|2]), (221,402,[4_1|2]), (221,411,[4_1|2]), (221,420,[4_1|2]), (221,429,[4_1|2]), (221,501,[4_1|2]), (221,466,[4_1|2]), (221,538,[4_1|2]), (221,556,[4_1|2]), (221,474,[2_1|2]), (221,483,[2_1|2]), (221,492,[1_1|2]), (221,510,[0_1|2]), (222,223,[3_1|2]), (223,224,[2_1|2]), (224,225,[3_1|2]), (225,226,[1_1|2]), (226,227,[0_1|2]), (227,228,[3_1|2]), (228,229,[0_1|2]), (229,230,[3_1|2]), (229,375,[3_1|2]), (229,384,[3_1|2]), (230,140,[4_1|2]), (230,150,[4_1|2]), (230,159,[4_1|2]), (230,456,[4_1|2]), (230,510,[4_1|2, 0_1|2]), (230,528,[4_1|2]), (230,582,[4_1|2]), (230,341,[4_1|2]), (230,474,[2_1|2]), (230,483,[2_1|2]), (230,492,[1_1|2]), (230,501,[4_1|2]), (231,232,[3_1|2]), (232,233,[2_1|2]), (233,234,[5_1|2]), (234,235,[5_1|2]), (235,236,[1_1|2]), (236,237,[2_1|2]), (237,238,[3_1|2]), (238,239,[3_1|2]), (238,285,[3_1|2]), (238,294,[2_1|2]), (238,303,[2_1|2]), (238,312,[3_1|2]), (238,321,[3_1|2]), (239,140,[0_1|2]), (239,177,[0_1|2]), (239,186,[0_1|2]), (239,213,[0_1|2]), (239,222,[0_1|2]), (239,231,[0_1|2]), (239,249,[0_1|2]), (239,258,[0_1|2]), (239,267,[0_1|2]), (239,294,[0_1|2]), (239,303,[0_1|2]), (239,357,[0_1|2]), (239,474,[0_1|2]), (239,483,[0_1|2]), (239,141,[5_1|2]), (239,150,[0_1|2]), (239,159,[0_1|2]), (239,168,[4_1|2]), (239,591,[5_1|3]), (240,241,[4_1|2]), (241,242,[3_1|2]), (242,243,[3_1|2]), (243,244,[3_1|2]), (244,245,[4_1|2]), (245,246,[4_1|2]), (246,247,[1_1|2]), (247,248,[4_1|2]), (248,140,[2_1|2]), (248,177,[2_1|2]), (248,186,[2_1|2]), (248,213,[2_1|2]), (248,222,[2_1|2]), (248,231,[2_1|2]), (248,249,[2_1|2]), (248,258,[2_1|2]), (248,267,[2_1|2]), (248,294,[2_1|2]), (248,303,[2_1|2]), (248,357,[2_1|2]), (248,474,[2_1|2]), (248,483,[2_1|2]), (248,205,[2_1|2]), (248,340,[2_1|2]), (248,376,[2_1|2]), (248,195,[5_1|2]), (248,204,[3_1|2]), (248,240,[3_1|2]), (248,276,[3_1|2]), (249,250,[1_1|2]), (250,251,[4_1|2]), (251,252,[1_1|2]), (252,253,[5_1|2]), (253,254,[2_1|2]), (254,255,[5_1|2]), (255,256,[0_1|2]), (256,257,[4_1|2]), (257,140,[1_1|2]), (257,150,[1_1|2]), (257,159,[1_1|2]), (257,456,[1_1|2, 0_1|2]), (257,510,[1_1|2]), (257,528,[1_1|2]), (257,582,[1_1|2]), (257,493,[1_1|2]), (257,393,[1_1|2]), (257,402,[4_1|2]), (257,411,[4_1|2]), (257,420,[4_1|2]), (257,429,[4_1|2]), (257,438,[1_1|2]), (257,447,[1_1|2]), (257,465,[5_1|2]), (258,259,[1_1|2]), (259,260,[5_1|2]), (260,261,[0_1|2]), (261,262,[4_1|2]), (262,263,[5_1|2]), (263,264,[2_1|2]), (263,645,[2_1|3]), (264,265,[3_1|2]), (264,285,[3_1|2]), (264,294,[2_1|2]), (264,303,[2_1|2]), (264,312,[3_1|2]), (264,321,[3_1|2]), (264,609,[3_1|3]), (265,266,[0_1|2]), (266,140,[0_1|2]), (266,150,[0_1|2]), (266,159,[0_1|2]), (266,456,[0_1|2]), (266,510,[0_1|2]), (266,528,[0_1|2]), (266,582,[0_1|2]), (266,512,[0_1|2]), (266,141,[5_1|2]), 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(518,420,[4_1|2]), (518,429,[4_1|2]), (518,438,[1_1|2]), (518,447,[1_1|2]), (518,465,[5_1|2]), (519,520,[3_1|2]), (520,521,[0_1|2]), (521,522,[3_1|2]), (522,523,[5_1|2]), (523,524,[3_1|2]), (524,525,[0_1|2]), (525,526,[3_1|2]), (526,527,[0_1|2]), (527,140,[2_1|2]), (527,168,[2_1|2]), (527,402,[2_1|2]), (527,411,[2_1|2]), (527,420,[2_1|2]), (527,429,[2_1|2]), (527,501,[2_1|2]), (527,177,[2_1|2]), (527,186,[2_1|2]), (527,195,[5_1|2]), (527,204,[3_1|2]), (527,213,[2_1|2]), (527,222,[2_1|2]), (527,231,[2_1|2]), (527,240,[3_1|2]), (527,249,[2_1|2]), (527,258,[2_1|2]), (527,267,[2_1|2]), (527,276,[3_1|2]), (528,529,[2_1|2]), (529,530,[1_1|2]), (530,531,[1_1|2]), (531,532,[0_1|2]), (532,533,[0_1|2]), (533,534,[3_1|2]), (534,535,[1_1|2]), (535,536,[1_1|2]), (535,393,[1_1|2]), (536,140,[1_1|2]), (536,393,[1_1|2]), (536,438,[1_1|2]), (536,447,[1_1|2]), (536,492,[1_1|2]), (536,394,[1_1|2]), (536,439,[1_1|2]), (536,402,[4_1|2]), (536,411,[4_1|2]), (536,420,[4_1|2]), (536,429,[4_1|2]), (536,456,[0_1|2]), (536,465,[5_1|2]), (537,538,[4_1|2]), (538,539,[1_1|2]), (539,540,[0_1|2]), (540,541,[5_1|2]), (541,542,[0_1|2]), (542,543,[2_1|2]), (543,544,[4_1|2]), (544,545,[4_1|2]), (544,510,[0_1|2]), (545,140,[4_1|2]), (545,168,[4_1|2]), (545,402,[4_1|2]), (545,411,[4_1|2]), (545,420,[4_1|2]), (545,429,[4_1|2]), (545,501,[4_1|2]), (545,169,[4_1|2]), (545,474,[2_1|2]), (545,483,[2_1|2]), (545,492,[1_1|2]), (545,510,[0_1|2]), (546,547,[2_1|2]), (547,548,[1_1|2]), (548,549,[4_1|2]), (549,550,[5_1|2]), (550,551,[3_1|2]), (551,552,[0_1|2]), (552,553,[2_1|2]), (553,554,[1_1|2]), (553,393,[1_1|2]), (554,140,[1_1|2]), (554,150,[1_1|2]), (554,159,[1_1|2]), (554,456,[1_1|2, 0_1|2]), (554,510,[1_1|2]), (554,528,[1_1|2]), (554,582,[1_1|2]), (554,512,[1_1|2]), (554,393,[1_1|2]), (554,402,[4_1|2]), (554,411,[4_1|2]), (554,420,[4_1|2]), (554,429,[4_1|2]), (554,438,[1_1|2]), (554,447,[1_1|2]), (554,465,[5_1|2]), (555,556,[4_1|2]), (556,557,[5_1|2]), (557,558,[0_1|2]), (558,559,[1_1|2]), (559,560,[3_1|2]), (560,561,[5_1|2]), (561,562,[3_1|2]), (562,563,[1_1|2]), (562,393,[1_1|2]), (563,140,[1_1|2]), (563,150,[1_1|2]), (563,159,[1_1|2]), (563,456,[1_1|2, 0_1|2]), (563,510,[1_1|2]), (563,528,[1_1|2]), (563,582,[1_1|2]), (563,393,[1_1|2]), (563,402,[4_1|2]), (563,411,[4_1|2]), (563,420,[4_1|2]), (563,429,[4_1|2]), (563,438,[1_1|2]), (563,447,[1_1|2]), (563,465,[5_1|2]), (564,565,[2_1|2]), (565,566,[4_1|2]), (566,567,[4_1|2]), (567,568,[3_1|2]), (568,569,[3_1|2]), (569,570,[3_1|2]), (570,571,[0_1|2]), (571,572,[4_1|2]), (571,501,[4_1|2]), (572,140,[5_1|2]), (572,141,[5_1|2]), (572,195,[5_1|2]), (572,465,[5_1|2]), (572,519,[5_1|2]), (572,537,[5_1|2]), (572,546,[5_1|2]), (572,555,[5_1|2]), (572,564,[5_1|2]), (572,573,[5_1|2]), (572,187,[5_1|2]), (572,528,[0_1|2]), (572,582,[0_1|2]), (573,574,[3_1|2]), (574,575,[3_1|2]), (575,576,[5_1|2]), (576,577,[1_1|2]), (577,578,[0_1|2]), (578,579,[3_1|2]), (579,580,[5_1|2]), (580,581,[2_1|2]), (580,258,[2_1|2]), (580,267,[2_1|2]), (581,140,[2_1|2]), (581,168,[2_1|2]), (581,402,[2_1|2]), (581,411,[2_1|2]), (581,420,[2_1|2]), (581,429,[2_1|2]), (581,501,[2_1|2]), (581,177,[2_1|2]), (581,186,[2_1|2]), (581,195,[5_1|2]), (581,204,[3_1|2]), (581,213,[2_1|2]), (581,222,[2_1|2]), (581,231,[2_1|2]), (581,240,[3_1|2]), (581,249,[2_1|2]), (581,258,[2_1|2]), (581,267,[2_1|2]), (581,276,[3_1|2]), (582,583,[2_1|2]), (583,584,[5_1|2]), (584,585,[4_1|2]), (585,586,[1_1|2]), (586,587,[5_1|2]), (587,588,[0_1|2]), (588,589,[2_1|2]), (588,267,[2_1|2]), (589,590,[2_1|2]), (589,249,[2_1|2]), (590,140,[4_1|2]), (590,177,[4_1|2]), (590,186,[4_1|2]), (590,213,[4_1|2]), (590,222,[4_1|2]), (590,231,[4_1|2]), (590,249,[4_1|2]), (590,258,[4_1|2]), (590,267,[4_1|2]), (590,294,[4_1|2]), (590,303,[4_1|2]), (590,357,[4_1|2]), (590,474,[4_1|2, 2_1|2]), (590,483,[4_1|2, 2_1|2]), (590,458,[4_1|2]), (590,492,[1_1|2]), (590,501,[4_1|2]), (590,510,[0_1|2]), (591,592,[3_1|3]), (592,593,[3_1|3]), (593,594,[3_1|3]), (594,595,[5_1|3]), (595,596,[0_1|3]), (596,597,[3_1|3]), (597,598,[1_1|3]), (598,599,[1_1|3]), (599,403,[3_1|3]), (599,412,[3_1|3]), (600,601,[1_1|3]), (601,602,[5_1|3]), (602,603,[0_1|3]), (603,604,[4_1|3]), (604,605,[4_1|3]), (605,606,[1_1|3]), (606,607,[4_1|3]), (607,608,[1_1|3]), (608,151,[2_1|3]), (608,511,[2_1|3]), (608,529,[2_1|3]), (608,583,[2_1|3]), (609,610,[0_1|3]), (610,611,[3_1|3]), (611,612,[4_1|3]), (612,613,[3_1|3]), (613,614,[0_1|3]), (614,615,[3_1|3]), (615,616,[0_1|3]), (616,617,[3_1|3]), (617,168,[2_1|3]), (617,402,[2_1|3]), (617,411,[2_1|3]), (617,420,[2_1|3]), (617,429,[2_1|3]), (617,501,[2_1|3]), (618,619,[3_1|3]), (619,620,[3_1|3]), (620,621,[3_1|3]), (621,622,[5_1|3]), (622,623,[0_1|3]), (623,624,[3_1|3]), (624,625,[1_1|3]), (625,626,[1_1|3]), (626,177,[3_1|3]), (626,186,[3_1|3]), (626,213,[3_1|3]), (626,222,[3_1|3]), (626,231,[3_1|3]), (626,249,[3_1|3]), (626,258,[3_1|3]), (626,267,[3_1|3]), (626,294,[3_1|3]), (626,303,[3_1|3]), (626,357,[3_1|3]), (626,474,[3_1|3]), (626,483,[3_1|3]), (626,403,[3_1|3]), (626,412,[3_1|3]), (627,628,[3_1|3]), (628,629,[3_1|3]), (629,630,[3_1|3]), (630,631,[5_1|3]), (631,632,[0_1|3]), (632,633,[3_1|3]), (633,634,[1_1|3]), (634,635,[1_1|3]), (634,429,[4_1|2]), (634,438,[1_1|2]), (634,447,[1_1|2]), (634,456,[0_1|2]), (635,140,[3_1|3]), (635,177,[3_1|3]), (635,186,[3_1|3]), (635,213,[3_1|3]), (635,222,[3_1|3]), (635,231,[3_1|3]), (635,249,[3_1|3]), (635,258,[3_1|3]), (635,267,[3_1|3]), (635,294,[3_1|3, 2_1|2]), (635,303,[3_1|3, 2_1|2]), (635,357,[3_1|3, 2_1|2]), (635,474,[3_1|3]), (635,483,[3_1|3]), (635,285,[3_1|2]), (635,312,[3_1|2]), (635,321,[3_1|2]), (635,330,[3_1|2]), (635,339,[3_1|2]), (635,348,[3_1|2]), (635,366,[3_1|2]), (635,375,[3_1|2]), (635,384,[3_1|2]), (636,637,[3_1|3]), (637,638,[3_1|3]), (638,639,[3_1|3]), (639,640,[5_1|3]), (640,641,[0_1|3]), (641,642,[3_1|3]), (642,643,[1_1|3]), (643,644,[1_1|3]), (644,509,[3_1|3]), (645,646,[3_1|3]), (646,647,[3_1|3]), (647,648,[5_1|3]), (648,649,[3_1|3]), (649,650,[1_1|3]), (650,651,[1_1|3]), (651,652,[5_1|3]), (652,653,[3_1|3]), (653,168,[2_1|3])}" ---------------------------------------- (8) BOUNDS(1, n^1)