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# AProVE Commit ID: 794c25de1cacf0d048858bcd21c9a779e1221865 marcel 20200619 unpublished dirty The Derivational Complexity (innermost) of the given DCpxTrs could be proven to be BOUNDS(1, n^1).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), 41 ms] (4) CpxRelTRS (5) RelTrsToTrsProof [UPPER BOUND(ID), 0 ms] (6) CpxTRS (7) CpxTrsMatchBoundsProof [FINISHED, 184 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(4(0(x1)))) -> 3(3(2(3(1(4(4(4(3(4(x1)))))))))) 0(5(1(5(1(x1))))) -> 0(1(4(4(3(4(4(3(2(1(x1)))))))))) 1(0(2(5(3(x1))))) -> 4(3(4(0(5(4(4(4(4(3(x1)))))))))) 1(5(2(1(5(x1))))) -> 3(4(3(2(2(2(2(4(4(5(x1)))))))))) 0(5(1(0(5(2(x1)))))) -> 2(4(3(2(1(3(4(1(4(4(x1)))))))))) 0(5(3(0(4(0(x1)))))) -> 0(5(3(2(4(3(3(3(4(1(x1)))))))))) 0(5(4(0(2(0(x1)))))) -> 0(3(4(3(3(3(0(3(1(1(x1)))))))))) 1(0(3(0(5(2(x1)))))) -> 3(3(4(2(4(1(2(1(4(4(x1)))))))))) 1(1(2(3(1(0(x1)))))) -> 1(3(3(3(2(5(0(2(2(0(x1)))))))))) 1(1(3(4(5(3(x1)))))) -> 3(1(4(5(5(0(0(3(3(2(x1)))))))))) 1(1(5(4(0(1(x1)))))) -> 1(3(2(3(5(4(4(4(5(1(x1)))))))))) 1(5(0(0(1(0(x1)))))) -> 3(3(3(3(2(3(0(1(1(5(x1)))))))))) 1(5(0(1(3(0(x1)))))) -> 4(4(2(0(3(3(4(2(0(5(x1)))))))))) 1(5(1(1(3(0(x1)))))) -> 1(3(2(1(4(2(0(2(2(0(x1)))))))))) 2(0(3(3(5(3(x1)))))) -> 4(2(0(1(1(4(3(2(3(2(x1)))))))))) 3(1(0(0(4(2(x1)))))) -> 3(4(2(0(1(2(4(3(2(2(x1)))))))))) 3(1(0(3(0(5(x1)))))) -> 2(0(3(2(3(2(2(0(4(5(x1)))))))))) 4(0(5(2(0(0(x1)))))) -> 3(2(2(0(2(3(3(0(5(0(x1)))))))))) 4(5(2(5(1(4(x1)))))) -> 4(1(1(5(5(1(2(4(1(4(x1)))))))))) 5(1(0(1(0(3(x1)))))) -> 5(0(2(3(2(1(4(3(0(1(x1)))))))))) 5(1(0(5(4(1(x1)))))) -> 5(3(3(3(3(4(3(2(3(1(x1)))))))))) 5(3(0(0(2(0(x1)))))) -> 4(1(4(2(4(4(3(2(4(0(x1)))))))))) 0(1(3(5(3(1(1(x1))))))) -> 0(0(3(3(2(2(2(5(1(1(x1)))))))))) 0(5(1(5(3(0(0(x1))))))) -> 0(5(3(4(3(3(3(0(0(3(x1)))))))))) 0(5(3(5(1(0(3(x1))))))) -> 2(3(3(3(0(0(1(1(1(3(x1)))))))))) 1(0(0(4(1(1(0(x1))))))) -> 4(1(2(4(3(2(3(1(1(0(x1)))))))))) 1(0(0(5(3(5(3(x1))))))) -> 4(4(5(5(0(0(0(0(1(1(x1)))))))))) 1(0(1(3(0(4(3(x1))))))) -> 4(4(5(4(4(3(3(2(4(3(x1)))))))))) 1(0(5(3(0(0(4(x1))))))) -> 2(3(3(4(0(4(0(5(4(3(x1)))))))))) 1(3(5(1(1(4(0(x1))))))) -> 4(1(3(4(4(4(3(3(5(5(x1)))))))))) 1(5(1(0(1(5(1(x1))))))) -> 3(4(3(1(2(2(5(1(3(3(x1)))))))))) 1(5(1(5(5(3(0(x1))))))) -> 3(2(4(0(5(1(2(3(2(4(x1)))))))))) 1(5(3(5(5(4(0(x1))))))) -> 4(4(3(5(4(2(2(2(2(1(x1)))))))))) 2(0(1(5(3(1(3(x1))))))) -> 2(4(0(5(0(2(2(1(1(3(x1)))))))))) 2(0(3(1(5(3(0(x1))))))) -> 2(0(0(3(4(2(4(1(2(4(x1)))))))))) 2(3(5(1(1(0(4(x1))))))) -> 3(2(3(5(0(0(2(1(2(1(x1)))))))))) 2(3(5(3(5(0(1(x1))))))) -> 3(2(3(2(1(5(2(4(1(1(x1)))))))))) 2(5(5(3(5(1(1(x1))))))) -> 2(1(2(5(0(0(0(3(4(1(x1)))))))))) 3(0(4(0(0(1(0(x1))))))) -> 2(2(0(4(1(3(5(1(4(1(x1)))))))))) 3(1(0(5(5(0(1(x1))))))) -> 4(1(0(2(3(4(0(5(0(2(x1)))))))))) 3(5(3(0(0(5(2(x1))))))) -> 2(2(2(4(1(2(0(4(1(1(x1)))))))))) 4(0(2(5(4(0(0(x1))))))) -> 3(5(2(3(2(3(2(2(4(0(x1)))))))))) 4(5(1(5(2(1(0(x1))))))) -> 3(5(1(4(3(3(2(5(3(4(x1)))))))))) 5(1(5(4(2(2(5(x1))))))) -> 5(5(1(2(3(0(3(2(1(5(x1)))))))))) 5(1(5(5(2(1(3(x1))))))) -> 0(1(0(3(3(2(3(2(1(3(x1)))))))))) 5(2(3(0(5(2(0(x1))))))) -> 5(5(3(3(3(2(4(3(5(5(x1)))))))))) 5(2(3(5(1(0(5(x1))))))) -> 1(1(2(1(1(2(4(3(3(5(x1)))))))))) 5(3(0(3(5(2(0(x1))))))) -> 4(3(1(2(4(1(1(2(2(4(x1)))))))))) 5(3(1(4(0(4(0(x1))))))) -> 0(5(5(5(4(4(3(4(0(0(x1)))))))))) 5(3(5(2(1(1(0(x1))))))) -> 5(0(3(4(5(0(2(2(5(0(x1)))))))))) 5(3(5(4(2(5(3(x1))))))) -> 5(5(2(3(3(0(5(5(5(1(x1)))))))))) 5(5(0(1(5(3(5(x1))))))) -> 1(4(1(2(4(4(0(3(2(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_1(x_1)) -> 1(encArg(x_1)) 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_4(x_1)) -> 4(encArg(x_1)) encArg(cons_5(x_1)) -> 5(encArg(x_1)) encode_1(x_1) -> 1(encArg(x_1)) encode_5(x_1) -> 5(encArg(x_1)) encode_4(x_1) -> 4(encArg(x_1)) encode_0(x_1) -> 0(encArg(x_1)) encode_3(x_1) -> 3(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(4(0(x1)))) -> 3(3(2(3(1(4(4(4(3(4(x1)))))))))) 0(5(1(5(1(x1))))) -> 0(1(4(4(3(4(4(3(2(1(x1)))))))))) 1(0(2(5(3(x1))))) -> 4(3(4(0(5(4(4(4(4(3(x1)))))))))) 1(5(2(1(5(x1))))) -> 3(4(3(2(2(2(2(4(4(5(x1)))))))))) 0(5(1(0(5(2(x1)))))) -> 2(4(3(2(1(3(4(1(4(4(x1)))))))))) 0(5(3(0(4(0(x1)))))) -> 0(5(3(2(4(3(3(3(4(1(x1)))))))))) 0(5(4(0(2(0(x1)))))) -> 0(3(4(3(3(3(0(3(1(1(x1)))))))))) 1(0(3(0(5(2(x1)))))) -> 3(3(4(2(4(1(2(1(4(4(x1)))))))))) 1(1(2(3(1(0(x1)))))) -> 1(3(3(3(2(5(0(2(2(0(x1)))))))))) 1(1(3(4(5(3(x1)))))) -> 3(1(4(5(5(0(0(3(3(2(x1)))))))))) 1(1(5(4(0(1(x1)))))) -> 1(3(2(3(5(4(4(4(5(1(x1)))))))))) 1(5(0(0(1(0(x1)))))) -> 3(3(3(3(2(3(0(1(1(5(x1)))))))))) 1(5(0(1(3(0(x1)))))) -> 4(4(2(0(3(3(4(2(0(5(x1)))))))))) 1(5(1(1(3(0(x1)))))) -> 1(3(2(1(4(2(0(2(2(0(x1)))))))))) 2(0(3(3(5(3(x1)))))) -> 4(2(0(1(1(4(3(2(3(2(x1)))))))))) 3(1(0(0(4(2(x1)))))) -> 3(4(2(0(1(2(4(3(2(2(x1)))))))))) 3(1(0(3(0(5(x1)))))) -> 2(0(3(2(3(2(2(0(4(5(x1)))))))))) 4(0(5(2(0(0(x1)))))) -> 3(2(2(0(2(3(3(0(5(0(x1)))))))))) 4(5(2(5(1(4(x1)))))) -> 4(1(1(5(5(1(2(4(1(4(x1)))))))))) 5(1(0(1(0(3(x1)))))) -> 5(0(2(3(2(1(4(3(0(1(x1)))))))))) 5(1(0(5(4(1(x1)))))) -> 5(3(3(3(3(4(3(2(3(1(x1)))))))))) 5(3(0(0(2(0(x1)))))) -> 4(1(4(2(4(4(3(2(4(0(x1)))))))))) 0(1(3(5(3(1(1(x1))))))) -> 0(0(3(3(2(2(2(5(1(1(x1)))))))))) 0(5(1(5(3(0(0(x1))))))) -> 0(5(3(4(3(3(3(0(0(3(x1)))))))))) 0(5(3(5(1(0(3(x1))))))) -> 2(3(3(3(0(0(1(1(1(3(x1)))))))))) 1(0(0(4(1(1(0(x1))))))) -> 4(1(2(4(3(2(3(1(1(0(x1)))))))))) 1(0(0(5(3(5(3(x1))))))) -> 4(4(5(5(0(0(0(0(1(1(x1)))))))))) 1(0(1(3(0(4(3(x1))))))) -> 4(4(5(4(4(3(3(2(4(3(x1)))))))))) 1(0(5(3(0(0(4(x1))))))) -> 2(3(3(4(0(4(0(5(4(3(x1)))))))))) 1(3(5(1(1(4(0(x1))))))) -> 4(1(3(4(4(4(3(3(5(5(x1)))))))))) 1(5(1(0(1(5(1(x1))))))) -> 3(4(3(1(2(2(5(1(3(3(x1)))))))))) 1(5(1(5(5(3(0(x1))))))) -> 3(2(4(0(5(1(2(3(2(4(x1)))))))))) 1(5(3(5(5(4(0(x1))))))) -> 4(4(3(5(4(2(2(2(2(1(x1)))))))))) 2(0(1(5(3(1(3(x1))))))) -> 2(4(0(5(0(2(2(1(1(3(x1)))))))))) 2(0(3(1(5(3(0(x1))))))) -> 2(0(0(3(4(2(4(1(2(4(x1)))))))))) 2(3(5(1(1(0(4(x1))))))) -> 3(2(3(5(0(0(2(1(2(1(x1)))))))))) 2(3(5(3(5(0(1(x1))))))) -> 3(2(3(2(1(5(2(4(1(1(x1)))))))))) 2(5(5(3(5(1(1(x1))))))) -> 2(1(2(5(0(0(0(3(4(1(x1)))))))))) 3(0(4(0(0(1(0(x1))))))) -> 2(2(0(4(1(3(5(1(4(1(x1)))))))))) 3(1(0(5(5(0(1(x1))))))) -> 4(1(0(2(3(4(0(5(0(2(x1)))))))))) 3(5(3(0(0(5(2(x1))))))) -> 2(2(2(4(1(2(0(4(1(1(x1)))))))))) 4(0(2(5(4(0(0(x1))))))) -> 3(5(2(3(2(3(2(2(4(0(x1)))))))))) 4(5(1(5(2(1(0(x1))))))) -> 3(5(1(4(3(3(2(5(3(4(x1)))))))))) 5(1(5(4(2(2(5(x1))))))) -> 5(5(1(2(3(0(3(2(1(5(x1)))))))))) 5(1(5(5(2(1(3(x1))))))) -> 0(1(0(3(3(2(3(2(1(3(x1)))))))))) 5(2(3(0(5(2(0(x1))))))) -> 5(5(3(3(3(2(4(3(5(5(x1)))))))))) 5(2(3(5(1(0(5(x1))))))) -> 1(1(2(1(1(2(4(3(3(5(x1)))))))))) 5(3(0(3(5(2(0(x1))))))) -> 4(3(1(2(4(1(1(2(2(4(x1)))))))))) 5(3(1(4(0(4(0(x1))))))) -> 0(5(5(5(4(4(3(4(0(0(x1)))))))))) 5(3(5(2(1(1(0(x1))))))) -> 5(0(3(4(5(0(2(2(5(0(x1)))))))))) 5(3(5(4(2(5(3(x1))))))) -> 5(5(2(3(3(0(5(5(5(1(x1)))))))))) 5(5(0(1(5(3(5(x1))))))) -> 1(4(1(2(4(4(0(3(2(5(x1)))))))))) The (relative) TRS S consists of the following rules: encArg(cons_1(x_1)) -> 1(encArg(x_1)) 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_4(x_1)) -> 4(encArg(x_1)) encArg(cons_5(x_1)) -> 5(encArg(x_1)) encode_1(x_1) -> 1(encArg(x_1)) encode_5(x_1) -> 5(encArg(x_1)) encode_4(x_1) -> 4(encArg(x_1)) encode_0(x_1) -> 0(encArg(x_1)) encode_3(x_1) -> 3(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(4(0(x1)))) -> 3(3(2(3(1(4(4(4(3(4(x1)))))))))) 0(5(1(5(1(x1))))) -> 0(1(4(4(3(4(4(3(2(1(x1)))))))))) 1(0(2(5(3(x1))))) -> 4(3(4(0(5(4(4(4(4(3(x1)))))))))) 1(5(2(1(5(x1))))) -> 3(4(3(2(2(2(2(4(4(5(x1)))))))))) 0(5(1(0(5(2(x1)))))) -> 2(4(3(2(1(3(4(1(4(4(x1)))))))))) 0(5(3(0(4(0(x1)))))) -> 0(5(3(2(4(3(3(3(4(1(x1)))))))))) 0(5(4(0(2(0(x1)))))) -> 0(3(4(3(3(3(0(3(1(1(x1)))))))))) 1(0(3(0(5(2(x1)))))) -> 3(3(4(2(4(1(2(1(4(4(x1)))))))))) 1(1(2(3(1(0(x1)))))) -> 1(3(3(3(2(5(0(2(2(0(x1)))))))))) 1(1(3(4(5(3(x1)))))) -> 3(1(4(5(5(0(0(3(3(2(x1)))))))))) 1(1(5(4(0(1(x1)))))) -> 1(3(2(3(5(4(4(4(5(1(x1)))))))))) 1(5(0(0(1(0(x1)))))) -> 3(3(3(3(2(3(0(1(1(5(x1)))))))))) 1(5(0(1(3(0(x1)))))) -> 4(4(2(0(3(3(4(2(0(5(x1)))))))))) 1(5(1(1(3(0(x1)))))) -> 1(3(2(1(4(2(0(2(2(0(x1)))))))))) 2(0(3(3(5(3(x1)))))) -> 4(2(0(1(1(4(3(2(3(2(x1)))))))))) 3(1(0(0(4(2(x1)))))) -> 3(4(2(0(1(2(4(3(2(2(x1)))))))))) 3(1(0(3(0(5(x1)))))) -> 2(0(3(2(3(2(2(0(4(5(x1)))))))))) 4(0(5(2(0(0(x1)))))) -> 3(2(2(0(2(3(3(0(5(0(x1)))))))))) 4(5(2(5(1(4(x1)))))) -> 4(1(1(5(5(1(2(4(1(4(x1)))))))))) 5(1(0(1(0(3(x1)))))) -> 5(0(2(3(2(1(4(3(0(1(x1)))))))))) 5(1(0(5(4(1(x1)))))) -> 5(3(3(3(3(4(3(2(3(1(x1)))))))))) 5(3(0(0(2(0(x1)))))) -> 4(1(4(2(4(4(3(2(4(0(x1)))))))))) 0(1(3(5(3(1(1(x1))))))) -> 0(0(3(3(2(2(2(5(1(1(x1)))))))))) 0(5(1(5(3(0(0(x1))))))) -> 0(5(3(4(3(3(3(0(0(3(x1)))))))))) 0(5(3(5(1(0(3(x1))))))) -> 2(3(3(3(0(0(1(1(1(3(x1)))))))))) 1(0(0(4(1(1(0(x1))))))) -> 4(1(2(4(3(2(3(1(1(0(x1)))))))))) 1(0(0(5(3(5(3(x1))))))) -> 4(4(5(5(0(0(0(0(1(1(x1)))))))))) 1(0(1(3(0(4(3(x1))))))) -> 4(4(5(4(4(3(3(2(4(3(x1)))))))))) 1(0(5(3(0(0(4(x1))))))) -> 2(3(3(4(0(4(0(5(4(3(x1)))))))))) 1(3(5(1(1(4(0(x1))))))) -> 4(1(3(4(4(4(3(3(5(5(x1)))))))))) 1(5(1(0(1(5(1(x1))))))) -> 3(4(3(1(2(2(5(1(3(3(x1)))))))))) 1(5(1(5(5(3(0(x1))))))) -> 3(2(4(0(5(1(2(3(2(4(x1)))))))))) 1(5(3(5(5(4(0(x1))))))) -> 4(4(3(5(4(2(2(2(2(1(x1)))))))))) 2(0(1(5(3(1(3(x1))))))) -> 2(4(0(5(0(2(2(1(1(3(x1)))))))))) 2(0(3(1(5(3(0(x1))))))) -> 2(0(0(3(4(2(4(1(2(4(x1)))))))))) 2(3(5(1(1(0(4(x1))))))) -> 3(2(3(5(0(0(2(1(2(1(x1)))))))))) 2(3(5(3(5(0(1(x1))))))) -> 3(2(3(2(1(5(2(4(1(1(x1)))))))))) 2(5(5(3(5(1(1(x1))))))) -> 2(1(2(5(0(0(0(3(4(1(x1)))))))))) 3(0(4(0(0(1(0(x1))))))) -> 2(2(0(4(1(3(5(1(4(1(x1)))))))))) 3(1(0(5(5(0(1(x1))))))) -> 4(1(0(2(3(4(0(5(0(2(x1)))))))))) 3(5(3(0(0(5(2(x1))))))) -> 2(2(2(4(1(2(0(4(1(1(x1)))))))))) 4(0(2(5(4(0(0(x1))))))) -> 3(5(2(3(2(3(2(2(4(0(x1)))))))))) 4(5(1(5(2(1(0(x1))))))) -> 3(5(1(4(3(3(2(5(3(4(x1)))))))))) 5(1(5(4(2(2(5(x1))))))) -> 5(5(1(2(3(0(3(2(1(5(x1)))))))))) 5(1(5(5(2(1(3(x1))))))) -> 0(1(0(3(3(2(3(2(1(3(x1)))))))))) 5(2(3(0(5(2(0(x1))))))) -> 5(5(3(3(3(2(4(3(5(5(x1)))))))))) 5(2(3(5(1(0(5(x1))))))) -> 1(1(2(1(1(2(4(3(3(5(x1)))))))))) 5(3(0(3(5(2(0(x1))))))) -> 4(3(1(2(4(1(1(2(2(4(x1)))))))))) 5(3(1(4(0(4(0(x1))))))) -> 0(5(5(5(4(4(3(4(0(0(x1)))))))))) 5(3(5(2(1(1(0(x1))))))) -> 5(0(3(4(5(0(2(2(5(0(x1)))))))))) 5(3(5(4(2(5(3(x1))))))) -> 5(5(2(3(3(0(5(5(5(1(x1)))))))))) 5(5(0(1(5(3(5(x1))))))) -> 1(4(1(2(4(4(0(3(2(5(x1)))))))))) The (relative) TRS S consists of the following rules: encArg(cons_1(x_1)) -> 1(encArg(x_1)) 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_4(x_1)) -> 4(encArg(x_1)) encArg(cons_5(x_1)) -> 5(encArg(x_1)) encode_1(x_1) -> 1(encArg(x_1)) encode_5(x_1) -> 5(encArg(x_1)) encode_4(x_1) -> 4(encArg(x_1)) encode_0(x_1) -> 0(encArg(x_1)) encode_3(x_1) -> 3(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(4(0(x1)))) -> 3(3(2(3(1(4(4(4(3(4(x1)))))))))) 0(5(1(5(1(x1))))) -> 0(1(4(4(3(4(4(3(2(1(x1)))))))))) 1(0(2(5(3(x1))))) -> 4(3(4(0(5(4(4(4(4(3(x1)))))))))) 1(5(2(1(5(x1))))) -> 3(4(3(2(2(2(2(4(4(5(x1)))))))))) 0(5(1(0(5(2(x1)))))) -> 2(4(3(2(1(3(4(1(4(4(x1)))))))))) 0(5(3(0(4(0(x1)))))) -> 0(5(3(2(4(3(3(3(4(1(x1)))))))))) 0(5(4(0(2(0(x1)))))) -> 0(3(4(3(3(3(0(3(1(1(x1)))))))))) 1(0(3(0(5(2(x1)))))) -> 3(3(4(2(4(1(2(1(4(4(x1)))))))))) 1(1(2(3(1(0(x1)))))) -> 1(3(3(3(2(5(0(2(2(0(x1)))))))))) 1(1(3(4(5(3(x1)))))) -> 3(1(4(5(5(0(0(3(3(2(x1)))))))))) 1(1(5(4(0(1(x1)))))) -> 1(3(2(3(5(4(4(4(5(1(x1)))))))))) 1(5(0(0(1(0(x1)))))) -> 3(3(3(3(2(3(0(1(1(5(x1)))))))))) 1(5(0(1(3(0(x1)))))) -> 4(4(2(0(3(3(4(2(0(5(x1)))))))))) 1(5(1(1(3(0(x1)))))) -> 1(3(2(1(4(2(0(2(2(0(x1)))))))))) 2(0(3(3(5(3(x1)))))) -> 4(2(0(1(1(4(3(2(3(2(x1)))))))))) 3(1(0(0(4(2(x1)))))) -> 3(4(2(0(1(2(4(3(2(2(x1)))))))))) 3(1(0(3(0(5(x1)))))) -> 2(0(3(2(3(2(2(0(4(5(x1)))))))))) 4(0(5(2(0(0(x1)))))) -> 3(2(2(0(2(3(3(0(5(0(x1)))))))))) 4(5(2(5(1(4(x1)))))) -> 4(1(1(5(5(1(2(4(1(4(x1)))))))))) 5(1(0(1(0(3(x1)))))) -> 5(0(2(3(2(1(4(3(0(1(x1)))))))))) 5(1(0(5(4(1(x1)))))) -> 5(3(3(3(3(4(3(2(3(1(x1)))))))))) 5(3(0(0(2(0(x1)))))) -> 4(1(4(2(4(4(3(2(4(0(x1)))))))))) 0(1(3(5(3(1(1(x1))))))) -> 0(0(3(3(2(2(2(5(1(1(x1)))))))))) 0(5(1(5(3(0(0(x1))))))) -> 0(5(3(4(3(3(3(0(0(3(x1)))))))))) 0(5(3(5(1(0(3(x1))))))) -> 2(3(3(3(0(0(1(1(1(3(x1)))))))))) 1(0(0(4(1(1(0(x1))))))) -> 4(1(2(4(3(2(3(1(1(0(x1)))))))))) 1(0(0(5(3(5(3(x1))))))) -> 4(4(5(5(0(0(0(0(1(1(x1)))))))))) 1(0(1(3(0(4(3(x1))))))) -> 4(4(5(4(4(3(3(2(4(3(x1)))))))))) 1(0(5(3(0(0(4(x1))))))) -> 2(3(3(4(0(4(0(5(4(3(x1)))))))))) 1(3(5(1(1(4(0(x1))))))) -> 4(1(3(4(4(4(3(3(5(5(x1)))))))))) 1(5(1(0(1(5(1(x1))))))) -> 3(4(3(1(2(2(5(1(3(3(x1)))))))))) 1(5(1(5(5(3(0(x1))))))) -> 3(2(4(0(5(1(2(3(2(4(x1)))))))))) 1(5(3(5(5(4(0(x1))))))) -> 4(4(3(5(4(2(2(2(2(1(x1)))))))))) 2(0(1(5(3(1(3(x1))))))) -> 2(4(0(5(0(2(2(1(1(3(x1)))))))))) 2(0(3(1(5(3(0(x1))))))) -> 2(0(0(3(4(2(4(1(2(4(x1)))))))))) 2(3(5(1(1(0(4(x1))))))) -> 3(2(3(5(0(0(2(1(2(1(x1)))))))))) 2(3(5(3(5(0(1(x1))))))) -> 3(2(3(2(1(5(2(4(1(1(x1)))))))))) 2(5(5(3(5(1(1(x1))))))) -> 2(1(2(5(0(0(0(3(4(1(x1)))))))))) 3(0(4(0(0(1(0(x1))))))) -> 2(2(0(4(1(3(5(1(4(1(x1)))))))))) 3(1(0(5(5(0(1(x1))))))) -> 4(1(0(2(3(4(0(5(0(2(x1)))))))))) 3(5(3(0(0(5(2(x1))))))) -> 2(2(2(4(1(2(0(4(1(1(x1)))))))))) 4(0(2(5(4(0(0(x1))))))) -> 3(5(2(3(2(3(2(2(4(0(x1)))))))))) 4(5(1(5(2(1(0(x1))))))) -> 3(5(1(4(3(3(2(5(3(4(x1)))))))))) 5(1(5(4(2(2(5(x1))))))) -> 5(5(1(2(3(0(3(2(1(5(x1)))))))))) 5(1(5(5(2(1(3(x1))))))) -> 0(1(0(3(3(2(3(2(1(3(x1)))))))))) 5(2(3(0(5(2(0(x1))))))) -> 5(5(3(3(3(2(4(3(5(5(x1)))))))))) 5(2(3(5(1(0(5(x1))))))) -> 1(1(2(1(1(2(4(3(3(5(x1)))))))))) 5(3(0(3(5(2(0(x1))))))) -> 4(3(1(2(4(1(1(2(2(4(x1)))))))))) 5(3(1(4(0(4(0(x1))))))) -> 0(5(5(5(4(4(3(4(0(0(x1)))))))))) 5(3(5(2(1(1(0(x1))))))) -> 5(0(3(4(5(0(2(2(5(0(x1)))))))))) 5(3(5(4(2(5(3(x1))))))) -> 5(5(2(3(3(0(5(5(5(1(x1)))))))))) 5(5(0(1(5(3(5(x1))))))) -> 1(4(1(2(4(4(0(3(2(5(x1)))))))))) encArg(cons_1(x_1)) -> 1(encArg(x_1)) 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_4(x_1)) -> 4(encArg(x_1)) encArg(cons_5(x_1)) -> 5(encArg(x_1)) encode_1(x_1) -> 1(encArg(x_1)) encode_5(x_1) -> 5(encArg(x_1)) encode_4(x_1) -> 4(encArg(x_1)) encode_0(x_1) -> 0(encArg(x_1)) encode_3(x_1) -> 3(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 3. The certificate found is represented by the following graph. "[122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 149, 150, 151, 152, 153, 154, 155, 156, 157, 158, 159, 160, 161, 162, 163, 164, 165, 166, 167, 168, 169, 170, 171, 172, 173, 174, 175, 176, 177, 178, 179, 180, 181, 182, 183, 184, 185, 186, 187, 188, 189, 190, 191, 192, 193, 194, 195, 196, 197, 198, 199, 200, 201, 202, 203, 204, 205, 206, 207, 208, 209, 210, 211, 212, 213, 214, 215, 216, 217, 218, 219, 220, 221, 222, 223, 224, 225, 226, 227, 228, 229, 230, 231, 232, 233, 234, 235, 236, 237, 238, 239, 240, 241, 242, 243, 244, 245, 246, 247, 248, 249, 250, 251, 252, 253, 254, 255, 256, 257, 258, 259, 260, 261, 262, 263, 264, 265, 266, 267, 268, 269, 270, 271, 272, 273, 274, 275, 276, 277, 278, 279, 280, 281, 282, 283, 284, 285, 286, 287, 288, 289, 290, 291, 292, 293, 294, 295, 296, 297, 298, 299, 300, 301, 302, 303, 304, 305, 306, 307, 308, 309, 310, 311, 312, 313, 314, 315, 316, 317, 318, 319, 320, 321, 322, 323, 324, 325, 326, 327, 328, 329, 330, 331, 332, 333, 334, 335, 336, 337, 338, 339, 340, 341, 342, 343, 344, 345, 346, 347, 348, 349, 350, 351, 352, 353, 354, 355, 356, 357, 358, 359, 360, 361, 362, 363, 364, 365, 366, 367, 368, 369, 370, 371, 372, 373, 374, 375, 376, 377, 378, 379, 380, 381, 382, 383, 384, 385, 386, 387, 388, 389, 390, 391, 392, 393, 394, 395, 396, 397, 398, 399, 400, 401, 402, 403, 404, 405, 406, 407, 408, 409, 410, 411, 412, 413, 414, 415, 416, 417, 418, 419, 420, 421, 422, 423, 424, 425, 426, 427, 428, 429, 430, 431, 432, 433, 434, 435, 436, 437, 438, 439, 440, 441, 442, 443, 444, 445, 446, 447, 448, 449, 450, 451, 452, 453, 454, 455, 456, 457, 458, 459, 460, 461, 462, 463, 464, 465, 466, 467, 468, 469, 470, 471, 472, 473, 474, 475, 476, 477, 478, 479, 480, 481, 482, 483, 484, 485, 486, 487, 488, 489, 490, 491, 492, 493, 494, 495, 496, 497, 498, 499, 500, 501, 502, 503, 504, 505, 506, 507, 508, 509, 510, 511, 512, 513, 514, 515, 516, 517, 518, 519, 520, 521, 522, 523, 524, 525, 526, 527, 528, 529, 530, 531, 532, 533, 534, 535, 536, 537, 538, 539, 540, 541, 542, 543, 544, 545, 546, 547, 548, 549, 550, 551, 552, 553, 554, 555, 556, 557, 558, 559, 560, 561, 562, 563, 564, 565, 566, 567, 568, 569, 570, 571, 572, 573, 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] {(122,123,[1_1|0, 0_1|0, 2_1|0, 3_1|0, 4_1|0, 5_1|0, encArg_1|0, encode_1_1|0, encode_5_1|0, encode_4_1|0, encode_0_1|0, encode_3_1|0, encode_2_1|0]), (122,124,[1_1|1, 0_1|1, 2_1|1, 3_1|1, 4_1|1, 5_1|1]), (122,125,[3_1|2]), (122,134,[3_1|2]), (122,143,[3_1|2]), (122,152,[4_1|2]), (122,161,[1_1|2]), (122,170,[3_1|2]), (122,179,[3_1|2]), (122,188,[4_1|2]), (122,197,[4_1|2]), (122,206,[3_1|2]), (122,215,[4_1|2]), (122,224,[4_1|2]), (122,233,[4_1|2]), (122,242,[2_1|2]), (122,251,[1_1|2]), (122,260,[3_1|2]), (122,269,[1_1|2]), (122,278,[4_1|2]), (122,287,[0_1|2]), (122,296,[0_1|2]), (122,305,[2_1|2]), (122,314,[0_1|2]), (122,323,[2_1|2]), (122,332,[0_1|2]), (122,341,[0_1|2]), (122,350,[4_1|2]), (122,359,[2_1|2]), (122,368,[2_1|2]), (122,377,[3_1|2]), (122,386,[3_1|2]), (122,395,[2_1|2]), (122,404,[3_1|2]), (122,413,[2_1|2]), (122,422,[4_1|2]), (122,431,[2_1|2]), (122,440,[2_1|2]), (122,449,[3_1|2]), (122,458,[3_1|2]), (122,467,[4_1|2]), (122,476,[3_1|2]), (122,485,[5_1|2]), (122,494,[5_1|2]), (122,503,[5_1|2]), (122,512,[0_1|2]), (122,521,[4_1|2]), (122,530,[4_1|2]), (122,539,[0_1|2]), (122,548,[5_1|2]), (122,557,[5_1|2]), (122,566,[5_1|2]), (122,575,[1_1|2]), (122,584,[1_1|2]), (123,123,[cons_1_1|0, cons_0_1|0, cons_2_1|0, cons_3_1|0, cons_4_1|0, cons_5_1|0]), (124,123,[encArg_1|1]), (124,124,[1_1|1, 0_1|1, 2_1|1, 3_1|1, 4_1|1, 5_1|1]), (124,125,[3_1|2]), (124,134,[3_1|2]), (124,143,[3_1|2]), (124,152,[4_1|2]), (124,161,[1_1|2]), (124,170,[3_1|2]), (124,179,[3_1|2]), (124,188,[4_1|2]), (124,197,[4_1|2]), (124,206,[3_1|2]), (124,215,[4_1|2]), (124,224,[4_1|2]), (124,233,[4_1|2]), (124,242,[2_1|2]), (124,251,[1_1|2]), (124,260,[3_1|2]), (124,269,[1_1|2]), (124,278,[4_1|2]), (124,287,[0_1|2]), (124,296,[0_1|2]), (124,305,[2_1|2]), (124,314,[0_1|2]), (124,323,[2_1|2]), (124,332,[0_1|2]), (124,341,[0_1|2]), (124,350,[4_1|2]), (124,359,[2_1|2]), (124,368,[2_1|2]), (124,377,[3_1|2]), (124,386,[3_1|2]), (124,395,[2_1|2]), (124,404,[3_1|2]), (124,413,[2_1|2]), (124,422,[4_1|2]), (124,431,[2_1|2]), (124,440,[2_1|2]), (124,449,[3_1|2]), (124,458,[3_1|2]), (124,467,[4_1|2]), (124,476,[3_1|2]), (124,485,[5_1|2]), (124,494,[5_1|2]), (124,503,[5_1|2]), (124,512,[0_1|2]), (124,521,[4_1|2]), (124,530,[4_1|2]), (124,539,[0_1|2]), (124,548,[5_1|2]), (124,557,[5_1|2]), (124,566,[5_1|2]), (124,575,[1_1|2]), (124,584,[1_1|2]), (125,126,[3_1|2]), (126,127,[2_1|2]), (127,128,[3_1|2]), (128,129,[1_1|2]), (129,130,[4_1|2]), (130,131,[4_1|2]), (131,132,[4_1|2]), (132,133,[3_1|2]), (133,124,[4_1|2]), (133,287,[4_1|2]), (133,296,[4_1|2]), (133,314,[4_1|2]), (133,332,[4_1|2]), (133,341,[4_1|2]), (133,512,[4_1|2]), (133,539,[4_1|2]), (133,449,[3_1|2]), (133,458,[3_1|2]), (133,467,[4_1|2]), (133,476,[3_1|2]), (134,135,[4_1|2]), (135,136,[3_1|2]), (136,137,[2_1|2]), (137,138,[2_1|2]), (138,139,[2_1|2]), (139,140,[2_1|2]), (140,141,[4_1|2]), (141,142,[4_1|2]), (141,467,[4_1|2]), (141,476,[3_1|2]), (142,124,[5_1|2]), (142,485,[5_1|2]), (142,494,[5_1|2]), (142,503,[5_1|2]), (142,548,[5_1|2]), (142,557,[5_1|2]), (142,566,[5_1|2]), (142,512,[0_1|2]), (142,521,[4_1|2]), (142,530,[4_1|2]), (142,539,[0_1|2]), (142,575,[1_1|2]), (142,584,[1_1|2]), (143,144,[3_1|2]), (144,145,[3_1|2]), (145,146,[3_1|2]), (146,147,[2_1|2]), (147,148,[3_1|2]), (148,149,[0_1|2]), (149,150,[1_1|2]), (149,269,[1_1|2]), (150,151,[1_1|2]), (150,125,[3_1|2]), (150,134,[3_1|2]), (150,143,[3_1|2]), (150,152,[4_1|2]), (150,161,[1_1|2]), (150,170,[3_1|2]), (150,179,[3_1|2]), (150,188,[4_1|2]), (151,124,[5_1|2]), (151,287,[5_1|2]), (151,296,[5_1|2]), (151,314,[5_1|2]), (151,332,[5_1|2]), (151,341,[5_1|2]), (151,512,[5_1|2, 0_1|2]), (151,539,[5_1|2, 0_1|2]), (151,514,[5_1|2]), (151,485,[5_1|2]), (151,494,[5_1|2]), (151,503,[5_1|2]), (151,521,[4_1|2]), (151,530,[4_1|2]), (151,548,[5_1|2]), (151,557,[5_1|2]), (151,566,[5_1|2]), (151,575,[1_1|2]), (151,584,[1_1|2]), (152,153,[4_1|2]), (153,154,[2_1|2]), (154,155,[0_1|2]), (155,156,[3_1|2]), (156,157,[3_1|2]), (157,158,[4_1|2]), (158,159,[2_1|2]), (159,160,[0_1|2]), (159,287,[0_1|2]), (159,296,[0_1|2]), (159,305,[2_1|2]), (159,314,[0_1|2]), (159,323,[2_1|2]), (159,332,[0_1|2]), (160,124,[5_1|2]), (160,287,[5_1|2]), (160,296,[5_1|2]), (160,314,[5_1|2]), (160,332,[5_1|2]), (160,341,[5_1|2]), (160,512,[5_1|2, 0_1|2]), (160,539,[5_1|2, 0_1|2]), (160,485,[5_1|2]), (160,494,[5_1|2]), (160,503,[5_1|2]), (160,521,[4_1|2]), (160,530,[4_1|2]), (160,548,[5_1|2]), (160,557,[5_1|2]), (160,566,[5_1|2]), (160,575,[1_1|2]), (160,584,[1_1|2]), (161,162,[3_1|2]), (162,163,[2_1|2]), (163,164,[1_1|2]), (164,165,[4_1|2]), (165,166,[2_1|2]), (166,167,[0_1|2]), (167,168,[2_1|2]), (168,169,[2_1|2]), (168,350,[4_1|2]), (168,359,[2_1|2]), (168,368,[2_1|2]), (169,124,[0_1|2]), (169,287,[0_1|2]), (169,296,[0_1|2]), (169,314,[0_1|2]), (169,332,[0_1|2]), (169,341,[0_1|2]), (169,512,[0_1|2]), (169,539,[0_1|2]), (169,305,[2_1|2]), (169,323,[2_1|2]), (170,171,[4_1|2]), (171,172,[3_1|2]), (172,173,[1_1|2]), (173,174,[2_1|2]), (174,175,[2_1|2]), (175,176,[5_1|2]), (176,177,[1_1|2]), (177,178,[3_1|2]), (178,124,[3_1|2]), (178,161,[3_1|2]), (178,251,[3_1|2]), (178,269,[3_1|2]), (178,575,[3_1|2]), (178,584,[3_1|2]), (178,404,[3_1|2]), (178,413,[2_1|2]), (178,422,[4_1|2]), (178,431,[2_1|2]), (178,440,[2_1|2]), (179,180,[2_1|2]), (180,181,[4_1|2]), (181,182,[0_1|2]), (182,183,[5_1|2]), (183,184,[1_1|2]), (184,185,[2_1|2]), (185,186,[3_1|2]), (186,187,[2_1|2]), (187,124,[4_1|2]), (187,287,[4_1|2]), (187,296,[4_1|2]), (187,314,[4_1|2]), (187,332,[4_1|2]), (187,341,[4_1|2]), (187,512,[4_1|2]), (187,539,[4_1|2]), (187,449,[3_1|2]), (187,458,[3_1|2]), (187,467,[4_1|2]), (187,476,[3_1|2]), (188,189,[4_1|2]), (189,190,[3_1|2]), (190,191,[5_1|2]), (191,192,[4_1|2]), (192,193,[2_1|2]), (193,194,[2_1|2]), (194,195,[2_1|2]), (195,196,[2_1|2]), (196,124,[1_1|2]), (196,287,[1_1|2]), (196,296,[1_1|2]), (196,314,[1_1|2]), (196,332,[1_1|2]), (196,341,[1_1|2]), (196,512,[1_1|2]), (196,539,[1_1|2]), (196,125,[3_1|2]), (196,134,[3_1|2]), (196,143,[3_1|2]), (196,152,[4_1|2]), (196,161,[1_1|2]), (196,170,[3_1|2]), (196,179,[3_1|2]), (196,188,[4_1|2]), (196,197,[4_1|2]), (196,206,[3_1|2]), (196,215,[4_1|2]), (196,224,[4_1|2]), (196,233,[4_1|2]), (196,242,[2_1|2]), (196,251,[1_1|2]), (196,260,[3_1|2]), (196,269,[1_1|2]), (196,278,[4_1|2]), (197,198,[3_1|2]), (198,199,[4_1|2]), (199,200,[0_1|2]), (200,201,[5_1|2]), (201,202,[4_1|2]), (202,203,[4_1|2]), (203,204,[4_1|2]), (204,205,[4_1|2]), (205,124,[3_1|2]), (205,125,[3_1|2]), (205,134,[3_1|2]), (205,143,[3_1|2]), (205,170,[3_1|2]), (205,179,[3_1|2]), (205,206,[3_1|2]), (205,260,[3_1|2]), (205,377,[3_1|2]), (205,386,[3_1|2]), (205,404,[3_1|2]), (205,449,[3_1|2]), (205,458,[3_1|2]), (205,476,[3_1|2]), (205,495,[3_1|2]), (205,413,[2_1|2]), (205,422,[4_1|2]), (205,431,[2_1|2]), (205,440,[2_1|2]), (206,207,[3_1|2]), (207,208,[4_1|2]), (208,209,[2_1|2]), (209,210,[4_1|2]), (210,211,[1_1|2]), (211,212,[2_1|2]), (212,213,[1_1|2]), (213,214,[4_1|2]), (214,124,[4_1|2]), (214,242,[4_1|2]), (214,305,[4_1|2]), (214,323,[4_1|2]), (214,359,[4_1|2]), (214,368,[4_1|2]), (214,395,[4_1|2]), (214,413,[4_1|2]), (214,431,[4_1|2]), (214,440,[4_1|2]), (214,449,[3_1|2]), (214,458,[3_1|2]), (214,467,[4_1|2]), (214,476,[3_1|2]), (215,216,[1_1|2]), (216,217,[2_1|2]), (217,218,[4_1|2]), (218,219,[3_1|2]), (219,220,[2_1|2]), (220,221,[3_1|2]), (221,222,[1_1|2]), (222,223,[1_1|2]), (222,197,[4_1|2]), (222,206,[3_1|2]), (222,215,[4_1|2]), (222,224,[4_1|2]), (222,233,[4_1|2]), (222,242,[2_1|2]), (223,124,[0_1|2]), (223,287,[0_1|2]), (223,296,[0_1|2]), (223,314,[0_1|2]), (223,332,[0_1|2]), (223,341,[0_1|2]), (223,512,[0_1|2]), (223,539,[0_1|2]), (223,305,[2_1|2]), (223,323,[2_1|2]), (224,225,[4_1|2]), (225,226,[5_1|2]), (226,227,[5_1|2]), (227,228,[0_1|2]), (228,229,[0_1|2]), (229,230,[0_1|2]), (230,231,[0_1|2]), (231,232,[1_1|2]), (231,251,[1_1|2]), (231,260,[3_1|2]), (231,269,[1_1|2]), (232,124,[1_1|2]), (232,125,[1_1|2, 3_1|2]), (232,134,[1_1|2, 3_1|2]), (232,143,[1_1|2, 3_1|2]), (232,170,[1_1|2, 3_1|2]), (232,179,[1_1|2, 3_1|2]), (232,206,[1_1|2, 3_1|2]), (232,260,[1_1|2, 3_1|2]), (232,377,[1_1|2]), (232,386,[1_1|2]), (232,404,[1_1|2]), (232,449,[1_1|2]), (232,458,[1_1|2]), (232,476,[1_1|2]), (232,495,[1_1|2]), (232,152,[4_1|2]), (232,161,[1_1|2]), (232,188,[4_1|2]), (232,197,[4_1|2]), (232,215,[4_1|2]), (232,224,[4_1|2]), (232,233,[4_1|2]), (232,242,[2_1|2]), (232,251,[1_1|2]), (232,269,[1_1|2]), (232,278,[4_1|2]), (233,234,[4_1|2]), (234,235,[5_1|2]), (235,236,[4_1|2]), (236,237,[4_1|2]), (237,238,[3_1|2]), (238,239,[3_1|2]), (239,240,[2_1|2]), (240,241,[4_1|2]), (241,124,[3_1|2]), (241,125,[3_1|2]), (241,134,[3_1|2]), (241,143,[3_1|2]), (241,170,[3_1|2]), (241,179,[3_1|2]), (241,206,[3_1|2]), (241,260,[3_1|2]), (241,377,[3_1|2]), (241,386,[3_1|2]), (241,404,[3_1|2]), (241,449,[3_1|2]), (241,458,[3_1|2]), (241,476,[3_1|2]), (241,198,[3_1|2]), (241,531,[3_1|2]), (241,413,[2_1|2]), (241,422,[4_1|2]), (241,431,[2_1|2]), (241,440,[2_1|2]), (242,243,[3_1|2]), (243,244,[3_1|2]), (244,245,[4_1|2]), (245,246,[0_1|2]), (246,247,[4_1|2]), (247,248,[0_1|2]), (248,249,[5_1|2]), (249,250,[4_1|2]), (250,124,[3_1|2]), (250,152,[3_1|2]), (250,188,[3_1|2]), (250,197,[3_1|2]), (250,215,[3_1|2]), (250,224,[3_1|2]), (250,233,[3_1|2]), (250,278,[3_1|2]), (250,350,[3_1|2]), (250,422,[3_1|2, 4_1|2]), (250,467,[3_1|2]), (250,521,[3_1|2]), (250,530,[3_1|2]), (250,404,[3_1|2]), (250,413,[2_1|2]), (250,431,[2_1|2]), (250,440,[2_1|2]), (251,252,[3_1|2]), (252,253,[3_1|2]), (253,254,[3_1|2]), (254,255,[2_1|2]), (255,256,[5_1|2]), 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(490,491,[4_1|2]), (491,492,[3_1|2]), (492,493,[0_1|2]), (492,341,[0_1|2]), (493,124,[1_1|2]), (493,125,[1_1|2, 3_1|2]), (493,134,[1_1|2, 3_1|2]), (493,143,[1_1|2, 3_1|2]), (493,170,[1_1|2, 3_1|2]), (493,179,[1_1|2, 3_1|2]), (493,206,[1_1|2, 3_1|2]), (493,260,[1_1|2, 3_1|2]), (493,377,[1_1|2]), (493,386,[1_1|2]), (493,404,[1_1|2]), (493,449,[1_1|2]), (493,458,[1_1|2]), (493,476,[1_1|2]), (493,333,[1_1|2]), (493,515,[1_1|2]), (493,152,[4_1|2]), (493,161,[1_1|2]), (493,188,[4_1|2]), (493,197,[4_1|2]), (493,215,[4_1|2]), (493,224,[4_1|2]), (493,233,[4_1|2]), (493,242,[2_1|2]), (493,251,[1_1|2]), (493,269,[1_1|2]), (493,278,[4_1|2]), (494,495,[3_1|2]), (495,496,[3_1|2]), (496,497,[3_1|2]), (497,498,[3_1|2]), (498,499,[4_1|2]), (499,500,[3_1|2]), (500,501,[2_1|2]), (501,502,[3_1|2]), (501,404,[3_1|2]), (501,413,[2_1|2]), (501,422,[4_1|2]), (502,124,[1_1|2]), (502,161,[1_1|2]), (502,251,[1_1|2]), (502,269,[1_1|2]), (502,575,[1_1|2]), (502,584,[1_1|2]), (502,216,[1_1|2]), (502,279,[1_1|2]), (502,423,[1_1|2]), (502,468,[1_1|2]), (502,522,[1_1|2]), (502,125,[3_1|2]), (502,134,[3_1|2]), (502,143,[3_1|2]), (502,152,[4_1|2]), (502,170,[3_1|2]), (502,179,[3_1|2]), (502,188,[4_1|2]), (502,197,[4_1|2]), (502,206,[3_1|2]), (502,215,[4_1|2]), (502,224,[4_1|2]), (502,233,[4_1|2]), (502,242,[2_1|2]), (502,260,[3_1|2]), (502,278,[4_1|2]), (503,504,[5_1|2]), (504,505,[1_1|2]), (505,506,[2_1|2]), (506,507,[3_1|2]), (507,508,[0_1|2]), (508,509,[3_1|2]), (509,510,[2_1|2]), (510,511,[1_1|2]), (510,125,[3_1|2]), (510,134,[3_1|2]), (510,143,[3_1|2]), (510,152,[4_1|2]), (510,161,[1_1|2]), (510,170,[3_1|2]), (510,179,[3_1|2]), (510,188,[4_1|2]), (511,124,[5_1|2]), (511,485,[5_1|2]), (511,494,[5_1|2]), (511,503,[5_1|2]), (511,548,[5_1|2]), (511,557,[5_1|2]), (511,566,[5_1|2]), (511,512,[0_1|2]), (511,521,[4_1|2]), (511,530,[4_1|2]), (511,539,[0_1|2]), (511,575,[1_1|2]), (511,584,[1_1|2]), (512,513,[1_1|2]), (513,514,[0_1|2]), (514,515,[3_1|2]), (515,516,[3_1|2]), (516,517,[2_1|2]), (517,518,[3_1|2]), (518,519,[2_1|2]), (519,520,[1_1|2]), (519,278,[4_1|2]), (520,124,[3_1|2]), (520,125,[3_1|2]), (520,134,[3_1|2]), (520,143,[3_1|2]), (520,170,[3_1|2]), (520,179,[3_1|2]), (520,206,[3_1|2]), (520,260,[3_1|2]), (520,377,[3_1|2]), (520,386,[3_1|2]), (520,404,[3_1|2]), (520,449,[3_1|2]), (520,458,[3_1|2]), (520,476,[3_1|2]), (520,162,[3_1|2]), (520,252,[3_1|2]), (520,270,[3_1|2]), (520,413,[2_1|2]), (520,422,[4_1|2]), (520,431,[2_1|2]), (520,440,[2_1|2]), (521,522,[1_1|2]), (522,523,[4_1|2]), (523,524,[2_1|2]), (524,525,[4_1|2]), (525,526,[4_1|2]), (526,527,[3_1|2]), (527,528,[2_1|2]), (528,529,[4_1|2]), (528,449,[3_1|2]), (528,458,[3_1|2]), (529,124,[0_1|2]), (529,287,[0_1|2]), (529,296,[0_1|2]), (529,314,[0_1|2]), (529,332,[0_1|2]), (529,341,[0_1|2]), (529,512,[0_1|2]), (529,539,[0_1|2]), (529,360,[0_1|2]), (529,414,[0_1|2]), (529,305,[2_1|2]), (529,323,[2_1|2]), (530,531,[3_1|2]), (531,532,[1_1|2]), (532,533,[2_1|2]), (533,534,[4_1|2]), (534,535,[1_1|2]), (535,536,[1_1|2]), (536,537,[2_1|2]), (537,538,[2_1|2]), (538,124,[4_1|2]), (538,287,[4_1|2]), (538,296,[4_1|2]), (538,314,[4_1|2]), (538,332,[4_1|2]), (538,341,[4_1|2]), (538,512,[4_1|2]), (538,539,[4_1|2]), (538,360,[4_1|2]), (538,414,[4_1|2]), (538,449,[3_1|2]), (538,458,[3_1|2]), (538,467,[4_1|2]), (538,476,[3_1|2]), (539,540,[5_1|2]), (540,541,[5_1|2]), (541,542,[5_1|2]), (542,543,[4_1|2]), (543,544,[4_1|2]), (544,545,[3_1|2]), (545,546,[4_1|2]), (546,547,[0_1|2]), (547,124,[0_1|2]), (547,287,[0_1|2]), (547,296,[0_1|2]), (547,314,[0_1|2]), (547,332,[0_1|2]), (547,341,[0_1|2]), (547,512,[0_1|2]), (547,539,[0_1|2]), (547,305,[2_1|2]), (547,323,[2_1|2]), (548,549,[0_1|2]), (549,550,[3_1|2]), (550,551,[4_1|2]), (551,552,[5_1|2]), (552,553,[0_1|2]), (553,554,[2_1|2]), (554,555,[2_1|2]), (555,556,[5_1|2]), (556,124,[0_1|2]), (556,287,[0_1|2]), (556,296,[0_1|2]), (556,314,[0_1|2]), (556,332,[0_1|2]), (556,341,[0_1|2]), (556,512,[0_1|2]), (556,539,[0_1|2]), (556,305,[2_1|2]), (556,323,[2_1|2]), (557,558,[5_1|2]), (558,559,[2_1|2]), (559,560,[3_1|2]), (560,561,[3_1|2]), (561,562,[0_1|2]), (562,563,[5_1|2]), (563,564,[5_1|2]), (564,565,[5_1|2]), (564,485,[5_1|2]), (564,494,[5_1|2]), (564,503,[5_1|2]), (564,512,[0_1|2]), (564,593,[5_1|3]), (565,124,[1_1|2]), (565,125,[1_1|2, 3_1|2]), (565,134,[1_1|2, 3_1|2]), (565,143,[1_1|2, 3_1|2]), (565,170,[1_1|2, 3_1|2]), (565,179,[1_1|2, 3_1|2]), (565,206,[1_1|2, 3_1|2]), (565,260,[1_1|2, 3_1|2]), (565,377,[1_1|2]), (565,386,[1_1|2]), (565,404,[1_1|2]), (565,449,[1_1|2]), (565,458,[1_1|2]), (565,476,[1_1|2]), (565,495,[1_1|2]), (565,152,[4_1|2]), (565,161,[1_1|2]), (565,188,[4_1|2]), (565,197,[4_1|2]), (565,215,[4_1|2]), (565,224,[4_1|2]), (565,233,[4_1|2]), (565,242,[2_1|2]), (565,251,[1_1|2]), (565,269,[1_1|2]), (565,278,[4_1|2]), (566,567,[5_1|2]), (567,568,[3_1|2]), (568,569,[3_1|2]), (569,570,[3_1|2]), (570,571,[2_1|2]), (571,572,[4_1|2]), (572,573,[3_1|2]), (573,574,[5_1|2]), (573,584,[1_1|2]), (574,124,[5_1|2]), (574,287,[5_1|2]), (574,296,[5_1|2]), (574,314,[5_1|2]), (574,332,[5_1|2]), (574,341,[5_1|2]), (574,512,[5_1|2, 0_1|2]), (574,539,[5_1|2, 0_1|2]), (574,360,[5_1|2]), (574,414,[5_1|2]), (574,485,[5_1|2]), (574,494,[5_1|2]), (574,503,[5_1|2]), (574,521,[4_1|2]), (574,530,[4_1|2]), (574,548,[5_1|2]), (574,557,[5_1|2]), (574,566,[5_1|2]), (574,575,[1_1|2]), (574,584,[1_1|2]), (575,576,[1_1|2]), (576,577,[2_1|2]), (577,578,[1_1|2]), (578,579,[1_1|2]), (579,580,[2_1|2]), (580,581,[4_1|2]), (581,582,[3_1|2]), (582,583,[3_1|2]), (582,440,[2_1|2]), (583,124,[5_1|2]), (583,485,[5_1|2]), (583,494,[5_1|2]), (583,503,[5_1|2]), (583,548,[5_1|2]), (583,557,[5_1|2]), (583,566,[5_1|2]), (583,297,[5_1|2]), (583,315,[5_1|2]), (583,540,[5_1|2]), (583,512,[0_1|2]), (583,521,[4_1|2]), (583,530,[4_1|2]), (583,539,[0_1|2]), (583,575,[1_1|2]), (583,584,[1_1|2]), (584,585,[4_1|2]), (585,586,[1_1|2]), (586,587,[2_1|2]), (587,588,[4_1|2]), (588,589,[4_1|2]), (589,590,[0_1|2]), (590,591,[3_1|2]), (591,592,[2_1|2]), (591,395,[2_1|2]), (592,124,[5_1|2]), (592,485,[5_1|2]), (592,494,[5_1|2]), (592,503,[5_1|2]), (592,548,[5_1|2]), (592,557,[5_1|2]), (592,566,[5_1|2]), (592,459,[5_1|2]), (592,477,[5_1|2]), (592,512,[0_1|2]), (592,521,[4_1|2]), (592,530,[4_1|2]), (592,539,[0_1|2]), (592,575,[1_1|2]), (592,584,[1_1|2]), (593,594,[0_1|3]), (594,595,[2_1|3]), (595,596,[3_1|3]), (596,597,[2_1|3]), (597,598,[1_1|3]), (598,599,[4_1|3]), (599,600,[3_1|3]), (600,601,[0_1|3]), (601,515,[1_1|3])}" ---------------------------------------- (8) BOUNDS(1, n^1)