/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# AProVE Commit ID: 794c25de1cacf0d048858bcd21c9a779e1221865 marcel 20200619 unpublished dirty The Derivational Complexity (innermost) of the given DCpxTrs could be proven to be BOUNDS(1, n^1).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), 43 ms] (4) CpxRelTRS (5) RelTrsToTrsProof [UPPER BOUND(ID), 0 ms] (6) CpxTRS (7) CpxTrsMatchBoundsProof [FINISHED, 259 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: 1(5(1(x1))) -> 1(3(0(0(4(1(3(0(3(4(x1)))))))))) 3(1(5(x1))) -> 3(1(1(3(0(5(2(0(5(2(x1)))))))))) 5(5(1(x1))) -> 5(2(3(3(1(5(2(3(0(4(x1)))))))))) 5(5(5(x1))) -> 5(2(1(3(1(1(1(3(2(2(x1)))))))))) 1(0(3(4(x1)))) -> 1(1(0(2(0(1(1(3(4(1(x1)))))))))) 2(1(5(3(x1)))) -> 2(1(3(1(4(3(2(3(0(0(x1)))))))))) 3(0(5(5(x1)))) -> 3(3(5(0(5(2(3(3(0(2(x1)))))))))) 4(0(1(0(x1)))) -> 0(2(3(4(1(2(3(2(3(3(x1)))))))))) 4(0(5(5(x1)))) -> 0(4(3(2(2(2(3(1(2(3(x1)))))))))) 4(2(1(2(x1)))) -> 2(0(2(0(2(1(0(2(3(3(x1)))))))))) 4(5(5(4(x1)))) -> 4(4(4(4(0(1(3(2(1(3(x1)))))))))) 5(5(4(0(x1)))) -> 5(2(4(3(2(3(5(2(4(0(x1)))))))))) 0(3(5(5(4(x1))))) -> 0(0(4(2(2(3(1(4(3(4(x1)))))))))) 1(0(1(2(1(x1))))) -> 1(1(5(4(2(5(2(2(3(0(x1)))))))))) 1(0(5(5(5(x1))))) -> 1(1(5(0(3(2(3(4(1(5(x1)))))))))) 2(4(2(5(4(x1))))) -> 2(0(4(2(5(2(2(3(3(1(x1)))))))))) 3(5(1(0(5(x1))))) -> 3(4(3(3(5(2(2(3(5(2(x1)))))))))) 4(4(5(5(1(x1))))) -> 0(2(2(3(3(4(4(3(5(1(x1)))))))))) 4(5(5(1(2(x1))))) -> 0(2(5(3(4(2(3(2(2(3(x1)))))))))) 5(5(1(5(5(x1))))) -> 5(0(3(1(1(0(0(4(3(2(x1)))))))))) 5(5(3(2(1(x1))))) -> 5(2(2(4(2(5(2(3(0(1(x1)))))))))) 0(0(5(1(4(5(x1)))))) -> 0(3(4(3(4(0(0(3(0(2(x1)))))))))) 0(4(0(5(1(2(x1)))))) -> 4(2(4(1(2(0(2(3(3(2(x1)))))))))) 0(4(0(5(4(0(x1)))))) -> 4(3(5(0(4(3(4(4(1(3(x1)))))))))) 0(4(4(0(1(5(x1)))))) -> 0(4(1(0(1(4(3(1(0(2(x1)))))))))) 0(4(4(5(5(1(x1)))))) -> 2(3(5(0(2(4(4(4(1(4(x1)))))))))) 2(5(1(5(2(1(x1)))))) -> 4(2(2(3(1(3(5(0(4(1(x1)))))))))) 2(5(2(1(5(5(x1)))))) -> 2(3(3(2(5(1(3(3(3(3(x1)))))))))) 2(5(5(3(1(5(x1)))))) -> 2(2(5(1(4(4(3(2(2(5(x1)))))))))) 3(1(2(1(4(0(x1)))))) -> 3(3(5(1(1(2(0(2(3(0(x1)))))))))) 3(5(1(0(4(0(x1)))))) -> 3(3(3(3(5(5(2(3(2(0(x1)))))))))) 3(5(3(4(5(4(x1)))))) -> 3(5(3(0(1(0(1(4(3(4(x1)))))))))) 5(4(4(2(5(1(x1)))))) -> 5(0(2(0(0(2(2(3(1(4(x1)))))))))) 5(5(1(5(4(0(x1)))))) -> 5(5(0(2(4(5(3(0(2(0(x1)))))))))) 5(5(5(5(5(4(x1)))))) -> 5(3(3(3(5(4(0(1(4(1(x1)))))))))) 0(3(4(4(5(4(5(x1))))))) -> 0(4(3(4(3(2(3(4(1(0(x1)))))))))) 0(4(0(5(4(5(4(x1))))))) -> 2(5(4(3(4(4(3(0(0(4(x1)))))))))) 0(4(0(5(5(1(0(x1))))))) -> 5(4(2(3(0(4(3(5(0(0(x1)))))))))) 0(4(1(0(5(2(5(x1))))))) -> 2(3(3(0(0(5(1(3(2(5(x1)))))))))) 0(5(3(5(3(5(1(x1))))))) -> 0(1(4(1(3(1(2(5(1(1(x1)))))))))) 0(5(5(1(0(3(1(x1))))))) -> 2(3(0(3(4(4(0(3(3(1(x1)))))))))) 1(1(0(1(5(1(5(x1))))))) -> 1(1(1(1(4(5(0(2(1(5(x1)))))))))) 1(2(1(5(3(4(5(x1))))))) -> 1(5(0(3(5(3(3(0(0(3(x1)))))))))) 1(5(0(5(3(0(5(x1))))))) -> 1(4(3(1(4(1(3(5(3(5(x1)))))))))) 2(3(5(5(5(2(5(x1))))))) -> 2(3(2(5(0(0(0(2(4(0(x1)))))))))) 3(0(0(5(1(4(5(x1))))))) -> 3(0(0(3(0(3(1(0(4(5(x1)))))))))) 3(0(5(4(4(2(1(x1))))))) -> 3(5(4(3(3(4(1(3(2(4(x1)))))))))) 3(1(4(0(0(4(2(x1))))))) -> 3(3(0(2(1(4(5(3(2(2(x1)))))))))) 3(1(5(5(1(0(4(x1))))))) -> 3(3(1(2(3(1(0(3(3(4(x1)))))))))) 3(4(5(5(5(5(5(x1))))))) -> 3(1(1(5(2(2(4(5(3(5(x1)))))))))) 3(5(4(5(2(5(3(x1))))))) -> 3(2(3(4(2(3(5(0(1(0(x1)))))))))) 4(0(5(5(3(4(5(x1))))))) -> 4(0(2(3(4(1(0(0(5(5(x1)))))))))) 4(5(4(0(1(0(5(x1))))))) -> 1(4(4(5(1(2(3(4(3(3(x1)))))))))) 5(1(0(5(4(4(5(x1))))))) -> 5(4(3(5(5(3(3(1(4(3(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_1(x_1)) -> 1(encArg(x_1)) encArg(cons_3(x_1)) -> 3(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)) encArg(cons_0(x_1)) -> 0(encArg(x_1)) encode_1(x_1) -> 1(encArg(x_1)) encode_5(x_1) -> 5(encArg(x_1)) encode_3(x_1) -> 3(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)) ---------------------------------------- (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: 1(5(1(x1))) -> 1(3(0(0(4(1(3(0(3(4(x1)))))))))) 3(1(5(x1))) -> 3(1(1(3(0(5(2(0(5(2(x1)))))))))) 5(5(1(x1))) -> 5(2(3(3(1(5(2(3(0(4(x1)))))))))) 5(5(5(x1))) -> 5(2(1(3(1(1(1(3(2(2(x1)))))))))) 1(0(3(4(x1)))) -> 1(1(0(2(0(1(1(3(4(1(x1)))))))))) 2(1(5(3(x1)))) -> 2(1(3(1(4(3(2(3(0(0(x1)))))))))) 3(0(5(5(x1)))) -> 3(3(5(0(5(2(3(3(0(2(x1)))))))))) 4(0(1(0(x1)))) -> 0(2(3(4(1(2(3(2(3(3(x1)))))))))) 4(0(5(5(x1)))) -> 0(4(3(2(2(2(3(1(2(3(x1)))))))))) 4(2(1(2(x1)))) -> 2(0(2(0(2(1(0(2(3(3(x1)))))))))) 4(5(5(4(x1)))) -> 4(4(4(4(0(1(3(2(1(3(x1)))))))))) 5(5(4(0(x1)))) -> 5(2(4(3(2(3(5(2(4(0(x1)))))))))) 0(3(5(5(4(x1))))) -> 0(0(4(2(2(3(1(4(3(4(x1)))))))))) 1(0(1(2(1(x1))))) -> 1(1(5(4(2(5(2(2(3(0(x1)))))))))) 1(0(5(5(5(x1))))) -> 1(1(5(0(3(2(3(4(1(5(x1)))))))))) 2(4(2(5(4(x1))))) -> 2(0(4(2(5(2(2(3(3(1(x1)))))))))) 3(5(1(0(5(x1))))) -> 3(4(3(3(5(2(2(3(5(2(x1)))))))))) 4(4(5(5(1(x1))))) -> 0(2(2(3(3(4(4(3(5(1(x1)))))))))) 4(5(5(1(2(x1))))) -> 0(2(5(3(4(2(3(2(2(3(x1)))))))))) 5(5(1(5(5(x1))))) -> 5(0(3(1(1(0(0(4(3(2(x1)))))))))) 5(5(3(2(1(x1))))) -> 5(2(2(4(2(5(2(3(0(1(x1)))))))))) 0(0(5(1(4(5(x1)))))) -> 0(3(4(3(4(0(0(3(0(2(x1)))))))))) 0(4(0(5(1(2(x1)))))) -> 4(2(4(1(2(0(2(3(3(2(x1)))))))))) 0(4(0(5(4(0(x1)))))) -> 4(3(5(0(4(3(4(4(1(3(x1)))))))))) 0(4(4(0(1(5(x1)))))) -> 0(4(1(0(1(4(3(1(0(2(x1)))))))))) 0(4(4(5(5(1(x1)))))) -> 2(3(5(0(2(4(4(4(1(4(x1)))))))))) 2(5(1(5(2(1(x1)))))) -> 4(2(2(3(1(3(5(0(4(1(x1)))))))))) 2(5(2(1(5(5(x1)))))) -> 2(3(3(2(5(1(3(3(3(3(x1)))))))))) 2(5(5(3(1(5(x1)))))) -> 2(2(5(1(4(4(3(2(2(5(x1)))))))))) 3(1(2(1(4(0(x1)))))) -> 3(3(5(1(1(2(0(2(3(0(x1)))))))))) 3(5(1(0(4(0(x1)))))) -> 3(3(3(3(5(5(2(3(2(0(x1)))))))))) 3(5(3(4(5(4(x1)))))) -> 3(5(3(0(1(0(1(4(3(4(x1)))))))))) 5(4(4(2(5(1(x1)))))) -> 5(0(2(0(0(2(2(3(1(4(x1)))))))))) 5(5(1(5(4(0(x1)))))) -> 5(5(0(2(4(5(3(0(2(0(x1)))))))))) 5(5(5(5(5(4(x1)))))) -> 5(3(3(3(5(4(0(1(4(1(x1)))))))))) 0(3(4(4(5(4(5(x1))))))) -> 0(4(3(4(3(2(3(4(1(0(x1)))))))))) 0(4(0(5(4(5(4(x1))))))) -> 2(5(4(3(4(4(3(0(0(4(x1)))))))))) 0(4(0(5(5(1(0(x1))))))) -> 5(4(2(3(0(4(3(5(0(0(x1)))))))))) 0(4(1(0(5(2(5(x1))))))) -> 2(3(3(0(0(5(1(3(2(5(x1)))))))))) 0(5(3(5(3(5(1(x1))))))) -> 0(1(4(1(3(1(2(5(1(1(x1)))))))))) 0(5(5(1(0(3(1(x1))))))) -> 2(3(0(3(4(4(0(3(3(1(x1)))))))))) 1(1(0(1(5(1(5(x1))))))) -> 1(1(1(1(4(5(0(2(1(5(x1)))))))))) 1(2(1(5(3(4(5(x1))))))) -> 1(5(0(3(5(3(3(0(0(3(x1)))))))))) 1(5(0(5(3(0(5(x1))))))) -> 1(4(3(1(4(1(3(5(3(5(x1)))))))))) 2(3(5(5(5(2(5(x1))))))) -> 2(3(2(5(0(0(0(2(4(0(x1)))))))))) 3(0(0(5(1(4(5(x1))))))) -> 3(0(0(3(0(3(1(0(4(5(x1)))))))))) 3(0(5(4(4(2(1(x1))))))) -> 3(5(4(3(3(4(1(3(2(4(x1)))))))))) 3(1(4(0(0(4(2(x1))))))) -> 3(3(0(2(1(4(5(3(2(2(x1)))))))))) 3(1(5(5(1(0(4(x1))))))) -> 3(3(1(2(3(1(0(3(3(4(x1)))))))))) 3(4(5(5(5(5(5(x1))))))) -> 3(1(1(5(2(2(4(5(3(5(x1)))))))))) 3(5(4(5(2(5(3(x1))))))) -> 3(2(3(4(2(3(5(0(1(0(x1)))))))))) 4(0(5(5(3(4(5(x1))))))) -> 4(0(2(3(4(1(0(0(5(5(x1)))))))))) 4(5(4(0(1(0(5(x1))))))) -> 1(4(4(5(1(2(3(4(3(3(x1)))))))))) 5(1(0(5(4(4(5(x1))))))) -> 5(4(3(5(5(3(3(1(4(3(x1)))))))))) The (relative) TRS S consists of the following rules: encArg(cons_1(x_1)) -> 1(encArg(x_1)) encArg(cons_3(x_1)) -> 3(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)) encArg(cons_0(x_1)) -> 0(encArg(x_1)) encode_1(x_1) -> 1(encArg(x_1)) encode_5(x_1) -> 5(encArg(x_1)) encode_3(x_1) -> 3(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)) 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: 1(5(1(x1))) -> 1(3(0(0(4(1(3(0(3(4(x1)))))))))) 3(1(5(x1))) -> 3(1(1(3(0(5(2(0(5(2(x1)))))))))) 5(5(1(x1))) -> 5(2(3(3(1(5(2(3(0(4(x1)))))))))) 5(5(5(x1))) -> 5(2(1(3(1(1(1(3(2(2(x1)))))))))) 1(0(3(4(x1)))) -> 1(1(0(2(0(1(1(3(4(1(x1)))))))))) 2(1(5(3(x1)))) -> 2(1(3(1(4(3(2(3(0(0(x1)))))))))) 3(0(5(5(x1)))) -> 3(3(5(0(5(2(3(3(0(2(x1)))))))))) 4(0(1(0(x1)))) -> 0(2(3(4(1(2(3(2(3(3(x1)))))))))) 4(0(5(5(x1)))) -> 0(4(3(2(2(2(3(1(2(3(x1)))))))))) 4(2(1(2(x1)))) -> 2(0(2(0(2(1(0(2(3(3(x1)))))))))) 4(5(5(4(x1)))) -> 4(4(4(4(0(1(3(2(1(3(x1)))))))))) 5(5(4(0(x1)))) -> 5(2(4(3(2(3(5(2(4(0(x1)))))))))) 0(3(5(5(4(x1))))) -> 0(0(4(2(2(3(1(4(3(4(x1)))))))))) 1(0(1(2(1(x1))))) -> 1(1(5(4(2(5(2(2(3(0(x1)))))))))) 1(0(5(5(5(x1))))) -> 1(1(5(0(3(2(3(4(1(5(x1)))))))))) 2(4(2(5(4(x1))))) -> 2(0(4(2(5(2(2(3(3(1(x1)))))))))) 3(5(1(0(5(x1))))) -> 3(4(3(3(5(2(2(3(5(2(x1)))))))))) 4(4(5(5(1(x1))))) -> 0(2(2(3(3(4(4(3(5(1(x1)))))))))) 4(5(5(1(2(x1))))) -> 0(2(5(3(4(2(3(2(2(3(x1)))))))))) 5(5(1(5(5(x1))))) -> 5(0(3(1(1(0(0(4(3(2(x1)))))))))) 5(5(3(2(1(x1))))) -> 5(2(2(4(2(5(2(3(0(1(x1)))))))))) 0(0(5(1(4(5(x1)))))) -> 0(3(4(3(4(0(0(3(0(2(x1)))))))))) 0(4(0(5(1(2(x1)))))) -> 4(2(4(1(2(0(2(3(3(2(x1)))))))))) 0(4(0(5(4(0(x1)))))) -> 4(3(5(0(4(3(4(4(1(3(x1)))))))))) 0(4(4(0(1(5(x1)))))) -> 0(4(1(0(1(4(3(1(0(2(x1)))))))))) 0(4(4(5(5(1(x1)))))) -> 2(3(5(0(2(4(4(4(1(4(x1)))))))))) 2(5(1(5(2(1(x1)))))) -> 4(2(2(3(1(3(5(0(4(1(x1)))))))))) 2(5(2(1(5(5(x1)))))) -> 2(3(3(2(5(1(3(3(3(3(x1)))))))))) 2(5(5(3(1(5(x1)))))) -> 2(2(5(1(4(4(3(2(2(5(x1)))))))))) 3(1(2(1(4(0(x1)))))) -> 3(3(5(1(1(2(0(2(3(0(x1)))))))))) 3(5(1(0(4(0(x1)))))) -> 3(3(3(3(5(5(2(3(2(0(x1)))))))))) 3(5(3(4(5(4(x1)))))) -> 3(5(3(0(1(0(1(4(3(4(x1)))))))))) 5(4(4(2(5(1(x1)))))) -> 5(0(2(0(0(2(2(3(1(4(x1)))))))))) 5(5(1(5(4(0(x1)))))) -> 5(5(0(2(4(5(3(0(2(0(x1)))))))))) 5(5(5(5(5(4(x1)))))) -> 5(3(3(3(5(4(0(1(4(1(x1)))))))))) 0(3(4(4(5(4(5(x1))))))) -> 0(4(3(4(3(2(3(4(1(0(x1)))))))))) 0(4(0(5(4(5(4(x1))))))) -> 2(5(4(3(4(4(3(0(0(4(x1)))))))))) 0(4(0(5(5(1(0(x1))))))) -> 5(4(2(3(0(4(3(5(0(0(x1)))))))))) 0(4(1(0(5(2(5(x1))))))) -> 2(3(3(0(0(5(1(3(2(5(x1)))))))))) 0(5(3(5(3(5(1(x1))))))) -> 0(1(4(1(3(1(2(5(1(1(x1)))))))))) 0(5(5(1(0(3(1(x1))))))) -> 2(3(0(3(4(4(0(3(3(1(x1)))))))))) 1(1(0(1(5(1(5(x1))))))) -> 1(1(1(1(4(5(0(2(1(5(x1)))))))))) 1(2(1(5(3(4(5(x1))))))) -> 1(5(0(3(5(3(3(0(0(3(x1)))))))))) 1(5(0(5(3(0(5(x1))))))) -> 1(4(3(1(4(1(3(5(3(5(x1)))))))))) 2(3(5(5(5(2(5(x1))))))) -> 2(3(2(5(0(0(0(2(4(0(x1)))))))))) 3(0(0(5(1(4(5(x1))))))) -> 3(0(0(3(0(3(1(0(4(5(x1)))))))))) 3(0(5(4(4(2(1(x1))))))) -> 3(5(4(3(3(4(1(3(2(4(x1)))))))))) 3(1(4(0(0(4(2(x1))))))) -> 3(3(0(2(1(4(5(3(2(2(x1)))))))))) 3(1(5(5(1(0(4(x1))))))) -> 3(3(1(2(3(1(0(3(3(4(x1)))))))))) 3(4(5(5(5(5(5(x1))))))) -> 3(1(1(5(2(2(4(5(3(5(x1)))))))))) 3(5(4(5(2(5(3(x1))))))) -> 3(2(3(4(2(3(5(0(1(0(x1)))))))))) 4(0(5(5(3(4(5(x1))))))) -> 4(0(2(3(4(1(0(0(5(5(x1)))))))))) 4(5(4(0(1(0(5(x1))))))) -> 1(4(4(5(1(2(3(4(3(3(x1)))))))))) 5(1(0(5(4(4(5(x1))))))) -> 5(4(3(5(5(3(3(1(4(3(x1)))))))))) The (relative) TRS S consists of the following rules: encArg(cons_1(x_1)) -> 1(encArg(x_1)) encArg(cons_3(x_1)) -> 3(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)) encArg(cons_0(x_1)) -> 0(encArg(x_1)) encode_1(x_1) -> 1(encArg(x_1)) encode_5(x_1) -> 5(encArg(x_1)) encode_3(x_1) -> 3(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)) 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: 1(5(1(x1))) -> 1(3(0(0(4(1(3(0(3(4(x1)))))))))) 3(1(5(x1))) -> 3(1(1(3(0(5(2(0(5(2(x1)))))))))) 5(5(1(x1))) -> 5(2(3(3(1(5(2(3(0(4(x1)))))))))) 5(5(5(x1))) -> 5(2(1(3(1(1(1(3(2(2(x1)))))))))) 1(0(3(4(x1)))) -> 1(1(0(2(0(1(1(3(4(1(x1)))))))))) 2(1(5(3(x1)))) -> 2(1(3(1(4(3(2(3(0(0(x1)))))))))) 3(0(5(5(x1)))) -> 3(3(5(0(5(2(3(3(0(2(x1)))))))))) 4(0(1(0(x1)))) -> 0(2(3(4(1(2(3(2(3(3(x1)))))))))) 4(0(5(5(x1)))) -> 0(4(3(2(2(2(3(1(2(3(x1)))))))))) 4(2(1(2(x1)))) -> 2(0(2(0(2(1(0(2(3(3(x1)))))))))) 4(5(5(4(x1)))) -> 4(4(4(4(0(1(3(2(1(3(x1)))))))))) 5(5(4(0(x1)))) -> 5(2(4(3(2(3(5(2(4(0(x1)))))))))) 0(3(5(5(4(x1))))) -> 0(0(4(2(2(3(1(4(3(4(x1)))))))))) 1(0(1(2(1(x1))))) -> 1(1(5(4(2(5(2(2(3(0(x1)))))))))) 1(0(5(5(5(x1))))) -> 1(1(5(0(3(2(3(4(1(5(x1)))))))))) 2(4(2(5(4(x1))))) -> 2(0(4(2(5(2(2(3(3(1(x1)))))))))) 3(5(1(0(5(x1))))) -> 3(4(3(3(5(2(2(3(5(2(x1)))))))))) 4(4(5(5(1(x1))))) -> 0(2(2(3(3(4(4(3(5(1(x1)))))))))) 4(5(5(1(2(x1))))) -> 0(2(5(3(4(2(3(2(2(3(x1)))))))))) 5(5(1(5(5(x1))))) -> 5(0(3(1(1(0(0(4(3(2(x1)))))))))) 5(5(3(2(1(x1))))) -> 5(2(2(4(2(5(2(3(0(1(x1)))))))))) 0(0(5(1(4(5(x1)))))) -> 0(3(4(3(4(0(0(3(0(2(x1)))))))))) 0(4(0(5(1(2(x1)))))) -> 4(2(4(1(2(0(2(3(3(2(x1)))))))))) 0(4(0(5(4(0(x1)))))) -> 4(3(5(0(4(3(4(4(1(3(x1)))))))))) 0(4(4(0(1(5(x1)))))) -> 0(4(1(0(1(4(3(1(0(2(x1)))))))))) 0(4(4(5(5(1(x1)))))) -> 2(3(5(0(2(4(4(4(1(4(x1)))))))))) 2(5(1(5(2(1(x1)))))) -> 4(2(2(3(1(3(5(0(4(1(x1)))))))))) 2(5(2(1(5(5(x1)))))) -> 2(3(3(2(5(1(3(3(3(3(x1)))))))))) 2(5(5(3(1(5(x1)))))) -> 2(2(5(1(4(4(3(2(2(5(x1)))))))))) 3(1(2(1(4(0(x1)))))) -> 3(3(5(1(1(2(0(2(3(0(x1)))))))))) 3(5(1(0(4(0(x1)))))) -> 3(3(3(3(5(5(2(3(2(0(x1)))))))))) 3(5(3(4(5(4(x1)))))) -> 3(5(3(0(1(0(1(4(3(4(x1)))))))))) 5(4(4(2(5(1(x1)))))) -> 5(0(2(0(0(2(2(3(1(4(x1)))))))))) 5(5(1(5(4(0(x1)))))) -> 5(5(0(2(4(5(3(0(2(0(x1)))))))))) 5(5(5(5(5(4(x1)))))) -> 5(3(3(3(5(4(0(1(4(1(x1)))))))))) 0(3(4(4(5(4(5(x1))))))) -> 0(4(3(4(3(2(3(4(1(0(x1)))))))))) 0(4(0(5(4(5(4(x1))))))) -> 2(5(4(3(4(4(3(0(0(4(x1)))))))))) 0(4(0(5(5(1(0(x1))))))) -> 5(4(2(3(0(4(3(5(0(0(x1)))))))))) 0(4(1(0(5(2(5(x1))))))) -> 2(3(3(0(0(5(1(3(2(5(x1)))))))))) 0(5(3(5(3(5(1(x1))))))) -> 0(1(4(1(3(1(2(5(1(1(x1)))))))))) 0(5(5(1(0(3(1(x1))))))) -> 2(3(0(3(4(4(0(3(3(1(x1)))))))))) 1(1(0(1(5(1(5(x1))))))) -> 1(1(1(1(4(5(0(2(1(5(x1)))))))))) 1(2(1(5(3(4(5(x1))))))) -> 1(5(0(3(5(3(3(0(0(3(x1)))))))))) 1(5(0(5(3(0(5(x1))))))) -> 1(4(3(1(4(1(3(5(3(5(x1)))))))))) 2(3(5(5(5(2(5(x1))))))) -> 2(3(2(5(0(0(0(2(4(0(x1)))))))))) 3(0(0(5(1(4(5(x1))))))) -> 3(0(0(3(0(3(1(0(4(5(x1)))))))))) 3(0(5(4(4(2(1(x1))))))) -> 3(5(4(3(3(4(1(3(2(4(x1)))))))))) 3(1(4(0(0(4(2(x1))))))) -> 3(3(0(2(1(4(5(3(2(2(x1)))))))))) 3(1(5(5(1(0(4(x1))))))) -> 3(3(1(2(3(1(0(3(3(4(x1)))))))))) 3(4(5(5(5(5(5(x1))))))) -> 3(1(1(5(2(2(4(5(3(5(x1)))))))))) 3(5(4(5(2(5(3(x1))))))) -> 3(2(3(4(2(3(5(0(1(0(x1)))))))))) 4(0(5(5(3(4(5(x1))))))) -> 4(0(2(3(4(1(0(0(5(5(x1)))))))))) 4(5(4(0(1(0(5(x1))))))) -> 1(4(4(5(1(2(3(4(3(3(x1)))))))))) 5(1(0(5(4(4(5(x1))))))) -> 5(4(3(5(5(3(3(1(4(3(x1)))))))))) encArg(cons_1(x_1)) -> 1(encArg(x_1)) encArg(cons_3(x_1)) -> 3(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)) encArg(cons_0(x_1)) -> 0(encArg(x_1)) encode_1(x_1) -> 1(encArg(x_1)) encode_5(x_1) -> 5(encArg(x_1)) encode_3(x_1) -> 3(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)) 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 4. 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, 655, 656, 657, 658, 659, 660, 661, 662, 663, 664, 665, 666, 667, 668, 669, 670, 671, 672, 673, 674, 675, 676, 677, 678, 679, 680, 681, 682, 683, 684, 685, 686, 687, 688, 689, 690, 691, 692, 693, 694, 695, 696, 697, 698, 699, 700, 701, 702, 703, 704, 705, 706, 707, 708, 709, 710, 711, 712, 713, 714, 715, 716, 717, 718, 719, 720, 721, 722, 723, 724, 725, 726, 727, 728, 729, 730, 731, 732, 733, 734, 735, 736, 737, 738, 739, 740, 741, 742, 743, 744, 745, 746, 747, 748, 749, 750, 751, 752, 753, 754, 755, 756, 757, 758, 759, 760, 761, 762, 763, 764, 765, 766, 767, 768, 769, 770, 771, 772, 773, 774, 775, 776, 777, 778, 779, 780, 781, 782, 783, 784, 785, 786, 787, 788, 789] {(148,149,[1_1|0, 3_1|0, 5_1|0, 2_1|0, 4_1|0, 0_1|0, encArg_1|0, encode_1_1|0, encode_5_1|0, encode_3_1|0, encode_0_1|0, encode_4_1|0, encode_2_1|0]), (148,150,[1_1|1, 3_1|1, 5_1|1, 2_1|1, 4_1|1, 0_1|1]), (148,151,[1_1|2]), (148,160,[1_1|2]), (148,169,[1_1|2]), (148,178,[1_1|2]), (148,187,[1_1|2]), (148,196,[1_1|2]), (148,205,[1_1|2]), (148,214,[3_1|2]), (148,223,[3_1|2]), (148,232,[3_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,[5_1|2]), (148,331,[5_1|2]), (148,340,[5_1|2]), (148,349,[5_1|2]), (148,358,[5_1|2]), (148,367,[5_1|2]), (148,376,[5_1|2]), (148,385,[5_1|2]), (148,394,[5_1|2]), (148,403,[2_1|2]), (148,412,[2_1|2]), (148,421,[4_1|2]), (148,430,[2_1|2]), (148,439,[2_1|2]), (148,448,[2_1|2]), (148,457,[0_1|2]), (148,466,[0_1|2]), (148,475,[4_1|2]), (148,484,[2_1|2]), (148,493,[4_1|2]), (148,502,[0_1|2]), (148,511,[1_1|2]), (148,520,[0_1|2]), (148,529,[0_1|2]), (148,538,[0_1|2]), (148,547,[0_1|2]), (148,556,[4_1|2]), (148,565,[4_1|2]), (148,574,[2_1|2]), (148,583,[5_1|2]), (148,592,[0_1|2]), (148,601,[2_1|2]), (148,610,[2_1|2]), (148,619,[0_1|2]), (148,628,[2_1|2]), (149,149,[cons_1_1|0, cons_3_1|0, cons_5_1|0, cons_2_1|0, cons_4_1|0, cons_0_1|0]), (150,149,[encArg_1|1]), (150,150,[1_1|1, 3_1|1, 5_1|1, 2_1|1, 4_1|1, 0_1|1]), (150,151,[1_1|2]), (150,160,[1_1|2]), (150,169,[1_1|2]), (150,178,[1_1|2]), (150,187,[1_1|2]), (150,196,[1_1|2]), (150,205,[1_1|2]), (150,214,[3_1|2]), (150,223,[3_1|2]), (150,232,[3_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,[5_1|2]), (150,331,[5_1|2]), (150,340,[5_1|2]), (150,349,[5_1|2]), (150,358,[5_1|2]), (150,367,[5_1|2]), (150,376,[5_1|2]), (150,385,[5_1|2]), (150,394,[5_1|2]), (150,403,[2_1|2]), (150,412,[2_1|2]), (150,421,[4_1|2]), (150,430,[2_1|2]), (150,439,[2_1|2]), (150,448,[2_1|2]), (150,457,[0_1|2]), (150,466,[0_1|2]), (150,475,[4_1|2]), (150,484,[2_1|2]), (150,493,[4_1|2]), (150,502,[0_1|2]), (150,511,[1_1|2]), (150,520,[0_1|2]), (150,529,[0_1|2]), (150,538,[0_1|2]), (150,547,[0_1|2]), (150,556,[4_1|2]), (150,565,[4_1|2]), (150,574,[2_1|2]), (150,583,[5_1|2]), (150,592,[0_1|2]), (150,601,[2_1|2]), (150,610,[2_1|2]), (150,619,[0_1|2]), (150,628,[2_1|2]), (151,152,[3_1|2]), (152,153,[0_1|2]), (153,154,[0_1|2]), (154,155,[4_1|2]), (155,156,[1_1|2]), (156,157,[3_1|2]), (157,158,[0_1|2]), (157,538,[0_1|2]), (158,159,[3_1|2]), (158,313,[3_1|2]), (159,150,[4_1|2]), (159,151,[4_1|2]), (159,160,[4_1|2]), (159,169,[4_1|2]), (159,178,[4_1|2]), (159,187,[4_1|2]), (159,196,[4_1|2]), (159,205,[4_1|2]), (159,511,[4_1|2, 1_1|2]), (159,457,[0_1|2]), (159,466,[0_1|2]), (159,475,[4_1|2]), (159,484,[2_1|2]), (159,493,[4_1|2]), (159,502,[0_1|2]), (159,520,[0_1|2]), (160,161,[4_1|2]), (161,162,[3_1|2]), (162,163,[1_1|2]), (163,164,[4_1|2]), (164,165,[1_1|2]), (165,166,[3_1|2]), (166,167,[5_1|2]), (167,168,[3_1|2]), (167,277,[3_1|2]), (167,286,[3_1|2]), (167,295,[3_1|2]), (167,304,[3_1|2]), (168,150,[5_1|2]), (168,322,[5_1|2]), (168,331,[5_1|2]), (168,340,[5_1|2]), (168,349,[5_1|2]), (168,358,[5_1|2]), (168,367,[5_1|2]), (168,376,[5_1|2]), (168,385,[5_1|2]), (168,394,[5_1|2]), (168,583,[5_1|2]), (168,637,[5_1|3]), (169,170,[1_1|2]), (170,171,[0_1|2]), (171,172,[2_1|2]), (172,173,[0_1|2]), (173,174,[1_1|2]), (174,175,[1_1|2]), (175,176,[3_1|2]), (176,177,[4_1|2]), (177,150,[1_1|2]), (177,421,[1_1|2]), (177,475,[1_1|2]), (177,493,[1_1|2]), (177,556,[1_1|2]), (177,565,[1_1|2]), (177,278,[1_1|2]), (177,549,[1_1|2]), (177,151,[1_1|2]), (177,160,[1_1|2]), (177,169,[1_1|2]), (177,178,[1_1|2]), (177,187,[1_1|2]), (177,196,[1_1|2]), (177,205,[1_1|2]), (177,646,[1_1|3]), (178,179,[1_1|2]), (179,180,[5_1|2]), (180,181,[4_1|2]), (181,182,[2_1|2]), (182,183,[5_1|2]), (183,184,[2_1|2]), (184,185,[2_1|2]), (185,186,[3_1|2]), (185,250,[3_1|2]), (185,259,[3_1|2]), (185,268,[3_1|2]), (185,655,[3_1|3]), (186,150,[0_1|2]), (186,151,[0_1|2]), (186,160,[0_1|2]), (186,169,[0_1|2]), (186,178,[0_1|2]), (186,187,[0_1|2]), (186,196,[0_1|2]), (186,205,[0_1|2]), (186,511,[0_1|2]), (186,404,[0_1|2]), (186,529,[0_1|2]), (186,538,[0_1|2]), (186,547,[0_1|2]), (186,556,[4_1|2]), (186,565,[4_1|2]), (186,574,[2_1|2]), (186,583,[5_1|2]), (186,592,[0_1|2]), (186,601,[2_1|2]), (186,610,[2_1|2]), (186,619,[0_1|2]), (186,628,[2_1|2]), (187,188,[1_1|2]), (188,189,[5_1|2]), (189,190,[0_1|2]), (190,191,[3_1|2]), (191,192,[2_1|2]), (192,193,[3_1|2]), (193,194,[4_1|2]), (194,195,[1_1|2]), (194,151,[1_1|2]), (194,160,[1_1|2]), (194,664,[1_1|3]), (195,150,[5_1|2]), (195,322,[5_1|2]), (195,331,[5_1|2]), (195,340,[5_1|2]), (195,349,[5_1|2]), (195,358,[5_1|2]), (195,367,[5_1|2]), (195,376,[5_1|2]), (195,385,[5_1|2]), (195,394,[5_1|2]), (195,583,[5_1|2]), (195,341,[5_1|2]), (195,637,[5_1|3]), (196,197,[1_1|2]), (197,198,[1_1|2]), (198,199,[1_1|2]), (199,200,[4_1|2]), (200,201,[5_1|2]), (201,202,[0_1|2]), (202,203,[2_1|2]), (202,403,[2_1|2]), (202,673,[2_1|3]), (203,204,[1_1|2]), (203,151,[1_1|2]), (203,160,[1_1|2]), (203,664,[1_1|3]), (204,150,[5_1|2]), (204,322,[5_1|2]), (204,331,[5_1|2]), (204,340,[5_1|2]), (204,349,[5_1|2]), (204,358,[5_1|2]), (204,367,[5_1|2]), (204,376,[5_1|2]), (204,385,[5_1|2]), (204,394,[5_1|2]), (204,583,[5_1|2]), (204,206,[5_1|2]), (204,637,[5_1|3]), (205,206,[5_1|2]), (206,207,[0_1|2]), (207,208,[3_1|2]), (208,209,[5_1|2]), (209,210,[3_1|2]), (210,211,[3_1|2]), (211,212,[0_1|2]), (212,213,[0_1|2]), (212,529,[0_1|2]), (212,538,[0_1|2]), (213,150,[3_1|2]), (213,322,[3_1|2]), (213,331,[3_1|2]), (213,340,[3_1|2]), (213,349,[3_1|2]), (213,358,[3_1|2]), (213,367,[3_1|2]), (213,376,[3_1|2]), (213,385,[3_1|2]), (213,394,[3_1|2]), (213,583,[3_1|2]), (213,214,[3_1|2]), (213,223,[3_1|2]), (213,232,[3_1|2]), (213,241,[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]), (213,682,[3_1|3]), (214,215,[1_1|2]), (215,216,[1_1|2]), (216,217,[3_1|2]), (217,218,[0_1|2]), (218,219,[5_1|2]), (219,220,[2_1|2]), (220,221,[0_1|2]), (221,222,[5_1|2]), (222,150,[2_1|2]), (222,322,[2_1|2]), (222,331,[2_1|2]), (222,340,[2_1|2]), (222,349,[2_1|2]), (222,358,[2_1|2]), (222,367,[2_1|2]), (222,376,[2_1|2]), (222,385,[2_1|2]), (222,394,[2_1|2]), (222,583,[2_1|2]), (222,206,[2_1|2]), (222,403,[2_1|2]), (222,412,[2_1|2]), (222,421,[4_1|2]), (222,430,[2_1|2]), (222,439,[2_1|2]), (222,448,[2_1|2]), (223,224,[3_1|2]), (224,225,[1_1|2]), (225,226,[2_1|2]), (226,227,[3_1|2]), (227,228,[1_1|2]), (228,229,[0_1|2]), (229,230,[3_1|2]), (230,231,[3_1|2]), (230,313,[3_1|2]), (231,150,[4_1|2]), (231,421,[4_1|2]), (231,475,[4_1|2]), (231,493,[4_1|2]), (231,556,[4_1|2]), (231,565,[4_1|2]), (231,467,[4_1|2]), (231,539,[4_1|2]), (231,593,[4_1|2]), (231,457,[0_1|2]), (231,466,[0_1|2]), (231,484,[2_1|2]), (231,502,[0_1|2]), (231,511,[1_1|2]), (231,520,[0_1|2]), (232,233,[3_1|2]), (233,234,[5_1|2]), (234,235,[1_1|2]), (235,236,[1_1|2]), (236,237,[2_1|2]), (237,238,[0_1|2]), (238,239,[2_1|2]), (239,240,[3_1|2]), (239,250,[3_1|2]), (239,259,[3_1|2]), (239,268,[3_1|2]), (239,655,[3_1|3]), (240,150,[0_1|2]), (240,457,[0_1|2]), (240,466,[0_1|2]), (240,502,[0_1|2]), (240,520,[0_1|2]), (240,529,[0_1|2]), (240,538,[0_1|2]), (240,547,[0_1|2]), (240,592,[0_1|2]), (240,619,[0_1|2]), (240,476,[0_1|2]), (240,556,[4_1|2]), (240,565,[4_1|2]), (240,574,[2_1|2]), (240,583,[5_1|2]), (240,601,[2_1|2]), (240,610,[2_1|2]), (240,628,[2_1|2]), (241,242,[3_1|2]), (242,243,[0_1|2]), (243,244,[2_1|2]), (244,245,[1_1|2]), (245,246,[4_1|2]), (246,247,[5_1|2]), (247,248,[3_1|2]), (248,249,[2_1|2]), (249,150,[2_1|2]), (249,403,[2_1|2]), (249,412,[2_1|2]), (249,430,[2_1|2]), (249,439,[2_1|2]), (249,448,[2_1|2]), (249,484,[2_1|2]), (249,574,[2_1|2]), (249,601,[2_1|2]), (249,610,[2_1|2]), (249,628,[2_1|2]), (249,422,[2_1|2]), (249,557,[2_1|2]), (249,532,[2_1|2]), (249,421,[4_1|2]), (250,251,[3_1|2]), (251,252,[5_1|2]), (252,253,[0_1|2]), (253,254,[5_1|2]), (254,255,[2_1|2]), (255,256,[3_1|2]), (256,257,[3_1|2]), (257,258,[0_1|2]), (258,150,[2_1|2]), (258,322,[2_1|2]), (258,331,[2_1|2]), (258,340,[2_1|2]), (258,349,[2_1|2]), (258,358,[2_1|2]), (258,367,[2_1|2]), (258,376,[2_1|2]), (258,385,[2_1|2]), (258,394,[2_1|2]), (258,583,[2_1|2]), (258,341,[2_1|2]), (258,403,[2_1|2]), (258,412,[2_1|2]), (258,421,[4_1|2]), (258,430,[2_1|2]), (258,439,[2_1|2]), (258,448,[2_1|2]), (259,260,[5_1|2]), (260,261,[4_1|2]), (261,262,[3_1|2]), (262,263,[3_1|2]), (263,264,[4_1|2]), (264,265,[1_1|2]), (265,266,[3_1|2]), (266,267,[2_1|2]), (266,412,[2_1|2]), 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(714,715,[1_1|3]), (715,716,[3_1|3]), (716,717,[4_1|3]), (717,278,[1_1|3]), (717,549,[1_1|3]), (718,719,[1_1|3]), (719,720,[1_1|3]), (720,721,[3_1|3]), (721,722,[0_1|3]), (722,723,[5_1|3]), (723,724,[2_1|3]), (724,725,[0_1|3]), (725,726,[5_1|3]), (726,327,[2_1|3]), (727,728,[4_1|3]), (728,729,[3_1|3]), (729,730,[2_1|3]), (730,731,[2_1|3]), (731,732,[2_1|3]), (732,733,[3_1|3]), (733,734,[1_1|3]), (734,735,[2_1|3]), (735,341,[3_1|3]), (736,737,[3_1|3]), (737,738,[0_1|3]), (738,739,[2_1|3]), (739,740,[1_1|3]), (740,741,[4_1|3]), (741,742,[5_1|3]), (742,743,[3_1|3]), (743,744,[2_1|3]), (744,532,[2_1|3]), (745,746,[1_1|3]), (746,747,[1_1|3]), (747,748,[3_1|3]), (748,749,[0_1|3]), (749,750,[5_1|3]), (750,751,[2_1|3]), (751,752,[0_1|3]), (752,753,[5_1|3]), (753,322,[2_1|3]), (753,331,[2_1|3]), (753,340,[2_1|3]), (753,349,[2_1|3]), (753,358,[2_1|3]), (753,367,[2_1|3]), (753,376,[2_1|3]), (753,385,[2_1|3]), (753,394,[2_1|3]), (753,583,[2_1|3]), (753,206,[2_1|3]), (754,755,[2_1|3]), (755,756,[3_1|3]), (756,757,[3_1|3]), (756,781,[3_1|4]), (757,758,[1_1|3]), (758,759,[5_1|3]), (759,760,[2_1|3]), (760,761,[3_1|3]), (761,762,[0_1|3]), (762,151,[4_1|3]), (762,160,[4_1|3]), (762,169,[4_1|3]), (762,178,[4_1|3]), (762,187,[4_1|3]), (762,196,[4_1|3]), (762,205,[4_1|3]), (762,511,[4_1|3]), (763,764,[2_1|3]), (764,765,[1_1|3]), (765,766,[3_1|3]), (766,767,[1_1|3]), (767,768,[1_1|3]), (768,769,[1_1|3]), (769,770,[3_1|3]), (770,771,[2_1|3]), (771,322,[2_1|3]), (771,331,[2_1|3]), (771,340,[2_1|3]), (771,349,[2_1|3]), (771,358,[2_1|3]), (771,367,[2_1|3]), (771,376,[2_1|3]), (771,385,[2_1|3]), (771,394,[2_1|3]), (771,583,[2_1|3]), (771,341,[2_1|3]), (772,773,[2_1|3]), (773,774,[4_1|3]), (774,775,[3_1|3]), (775,776,[2_1|3]), (776,777,[3_1|3]), (777,778,[5_1|3]), (778,779,[2_1|3]), (779,780,[4_1|3]), (780,476,[0_1|3]), (781,782,[1_1|4]), (782,783,[1_1|4]), (783,784,[3_1|4]), (784,785,[0_1|4]), (785,786,[5_1|4]), (786,787,[2_1|4]), (787,788,[0_1|4]), (788,789,[5_1|4]), (789,759,[2_1|4])}" ---------------------------------------- (8) BOUNDS(1, n^1)